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Vector pow for x86_64 and tests.
Here is implementation of vectorized pow containing SSE, AVX, AVX2 and AVX512 versions according to Vector ABI <https://groups.google.com/forum/#!topic/x86-64-abi/LmppCfN1rZ4>. * bits/libm-simd-decl-stubs.h: Added stubs for pow. * math/bits/mathcalls.h: Added pow declaration with __MATHCALL_VEC. * sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New versions added. * sysdeps/x86/fpu/bits/math-vector.h: Added SIMD declaration and asm redirections for pow. * sysdeps/x86_64/fpu/Makefile (libmvec-support): Added new files. * sysdeps/x86_64/fpu/Versions: New versions added. * sysdeps/x86_64/fpu/libm-test-ulps: Regenerated. * sysdeps/x86_64/fpu/multiarch/Makefile (libmvec-sysdep_routines): Added build of SSE, AVX2 and AVX512 IFUNC versions. * sysdeps/x86_64/fpu/svml_d_wrapper_impl.h: Added 2 argument wrappers. * sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S: New file. * sysdeps/x86_64/fpu/svml_d_pow2_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow4_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow4_core_avx.S: New file. * sysdeps/x86_64/fpu/svml_d_pow8_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow_data.S: New file. * sysdeps/x86_64/fpu/svml_d_pow_data.h: New file. * sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c: Added vector pow test. * sysdeps/x86_64/fpu/test-double-vlen2.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-avx2.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen8.c: Likewise. * NEWS: Mention addition of x86_64 vector pow.
This commit is contained in:
parent
1663be053d
commit
c10b9b13f7
33
ChangeLog
33
ChangeLog
@ -1,5 +1,38 @@
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2015-06-17 Andrew Senkevich <andrew.senkevich@intel.com>
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2015-06-17 Andrew Senkevich <andrew.senkevich@intel.com>
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* bits/libm-simd-decl-stubs.h: Added stubs for pow.
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* math/bits/mathcalls.h: Added pow declaration with __MATHCALL_VEC.
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* sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New versions added.
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* sysdeps/x86/fpu/bits/math-vector.h: Added SIMD declaration and asm
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redirections for pow.
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* sysdeps/x86_64/fpu/Makefile (libmvec-support): Added new files.
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* sysdeps/x86_64/fpu/Versions: New versions added.
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* sysdeps/x86_64/fpu/libm-test-ulps: Regenerated.
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* sysdeps/x86_64/fpu/multiarch/Makefile (libmvec-sysdep_routines): Added
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build of SSE, AVX2 and AVX512 IFUNC versions.
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* sysdeps/x86_64/fpu/svml_d_wrapper_impl.h: Added 2 argument wrappers.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S: New file.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S: New file.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S: New file.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S: New file.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S: New file.
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* sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow2_core.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow4_core.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow4_core_avx.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow8_core.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow_data.S: New file.
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* sysdeps/x86_64/fpu/svml_d_pow_data.h: New file.
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* sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c: Added vector pow test.
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* sysdeps/x86_64/fpu/test-double-vlen2.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen4-avx2.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen4.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c: Likewise.
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* sysdeps/x86_64/fpu/test-double-vlen8.c: Likewise.
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* NEWS: Mention addition of x86_64 vector pow.
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* sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New symbols added.
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* sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New symbols added.
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* sysdeps/x86/fpu/bits/math-vector.h: Added SIMD declaration and asm
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* sysdeps/x86/fpu/bits/math-vector.h: Added SIMD declaration and asm
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redirections for expf.
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redirections for expf.
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2
NEWS
2
NEWS
@ -53,7 +53,7 @@ Version 2.22
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condition in some applications.
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condition in some applications.
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* Added vector math library named libmvec with the following vectorized x86_64
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* Added vector math library named libmvec with the following vectorized x86_64
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implementations: cos, cosf, sin, sinf, log, logf, exp, expf.
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implementations: cos, cosf, sin, sinf, log, logf, exp, expf, pow.
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The library can be disabled with --disable-mathvec. Use of the functions is
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The library can be disabled with --disable-mathvec. Use of the functions is
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enabled with -fopenmp -ffast-math starting from -O1 for GCC version >= 4.9.0.
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enabled with -fopenmp -ffast-math starting from -O1 for GCC version >= 4.9.0.
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The library is linked in as needed when using -lm (no need to specify -lmvec
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The library is linked in as needed when using -lm (no need to specify -lmvec
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@ -49,4 +49,7 @@
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#define __DECL_SIMD_expf
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#define __DECL_SIMD_expf
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#define __DECL_SIMD_expl
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#define __DECL_SIMD_expl
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#define __DECL_SIMD_pow
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#define __DECL_SIMD_powf
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#define __DECL_SIMD_powl
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#endif
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#endif
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@ -150,7 +150,7 @@ __END_NAMESPACE_C99
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_Mdouble_BEGIN_NAMESPACE
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_Mdouble_BEGIN_NAMESPACE
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/* Return X to the Y power. */
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/* Return X to the Y power. */
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__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
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__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));
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/* Return the square root of X. */
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/* Return the square root of X. */
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__MATHCALL (sqrt,, (_Mdouble_ __x));
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__MATHCALL (sqrt,, (_Mdouble_ __x));
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@ -4,6 +4,7 @@ GLIBC_2.22
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_ZGVbN2v_exp F
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_ZGVbN2v_exp F
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_ZGVbN2v_log F
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_ZGVbN2v_log F
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_ZGVbN2v_sin F
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_ZGVbN2v_sin F
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_ZGVbN2vv_pow F
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_ZGVbN4v_cosf F
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_ZGVbN4v_cosf F
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_ZGVbN4v_expf F
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_ZGVbN4v_expf F
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_ZGVbN4v_logf F
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_ZGVbN4v_logf F
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@ -12,6 +13,7 @@ GLIBC_2.22
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_ZGVcN4v_exp F
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_ZGVcN4v_exp F
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_ZGVcN4v_log F
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_ZGVcN4v_log F
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_ZGVcN4v_sin F
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_ZGVcN4v_sin F
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_ZGVcN4vv_pow F
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_ZGVcN8v_cosf F
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_ZGVcN8v_cosf F
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_ZGVcN8v_expf F
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_ZGVcN8v_expf F
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_ZGVcN8v_logf F
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_ZGVcN8v_logf F
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@ -20,6 +22,7 @@ GLIBC_2.22
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_ZGVdN4v_exp F
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_ZGVdN4v_exp F
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_ZGVdN4v_log F
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_ZGVdN4v_log F
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_ZGVdN4v_sin F
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_ZGVdN4v_sin F
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_ZGVdN4vv_pow F
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_ZGVdN8v_cosf F
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_ZGVdN8v_cosf F
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_ZGVdN8v_expf F
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_ZGVdN8v_expf F
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_ZGVdN8v_logf F
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_ZGVdN8v_logf F
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@ -32,3 +35,4 @@ GLIBC_2.22
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_ZGVeN8v_exp F
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_ZGVeN8v_exp F
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_ZGVeN8v_log F
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_ZGVeN8v_log F
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_ZGVeN8v_sin F
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_ZGVeN8v_sin F
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_ZGVeN8vv_pow F
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@ -44,6 +44,8 @@
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# define __DECL_SIMD_exp __DECL_SIMD_x86_64
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# define __DECL_SIMD_exp __DECL_SIMD_x86_64
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# undef __DECL_SIMD_expf
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# undef __DECL_SIMD_expf
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# define __DECL_SIMD_expf __DECL_SIMD_x86_64
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# define __DECL_SIMD_expf __DECL_SIMD_x86_64
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# undef __DECL_SIMD_pow
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# define __DECL_SIMD_pow __DECL_SIMD_x86_64
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/* Workaround to exclude unnecessary symbol aliases in libmvec
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/* Workaround to exclude unnecessary symbol aliases in libmvec
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while GCC creates the vector names based on scalar asm name.
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while GCC creates the vector names based on scalar asm name.
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@ -65,6 +67,10 @@ __asm__ ("_ZGVbN4v___expf_finite = _ZGVbN4v_expf");
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__asm__ ("_ZGVcN8v___expf_finite = _ZGVcN8v_expf");
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__asm__ ("_ZGVcN8v___expf_finite = _ZGVcN8v_expf");
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__asm__ ("_ZGVdN8v___expf_finite = _ZGVdN8v_expf");
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__asm__ ("_ZGVdN8v___expf_finite = _ZGVdN8v_expf");
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__asm__ ("_ZGVeN16v___expf_finite = _ZGVeN16v_expf");
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__asm__ ("_ZGVeN16v___expf_finite = _ZGVeN16v_expf");
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__asm__ ("_ZGVbN2vv___pow_finite = _ZGVbN2vv_pow");
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__asm__ ("_ZGVcN4vv___pow_finite = _ZGVcN4vv_pow");
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__asm__ ("_ZGVdN4vv___pow_finite = _ZGVdN4vv_pow");
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__asm__ ("_ZGVeN8vv___pow_finite = _ZGVeN8vv_pow");
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# endif
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# endif
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#endif
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#endif
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@ -13,7 +13,9 @@ libmvec-support += svml_d_cos2_core svml_d_cos4_core_avx \
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svml_s_logf_data svml_d_exp2_core svml_d_exp4_core_avx \
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svml_s_logf_data svml_d_exp2_core svml_d_exp4_core_avx \
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svml_d_exp4_core svml_d_exp8_core svml_d_exp_data \
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svml_d_exp4_core svml_d_exp8_core svml_d_exp_data \
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svml_s_expf4_core svml_s_expf8_core_avx svml_s_expf8_core \
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svml_s_expf4_core svml_s_expf8_core_avx svml_s_expf8_core \
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svml_s_expf16_core svml_s_expf_data \
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svml_s_expf16_core svml_s_expf_data svml_d_pow2_core \
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svml_d_pow4_core_avx svml_d_pow4_core svml_d_pow8_core \
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svml_d_pow_data \
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init-arch
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init-arch
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endif
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endif
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@ -4,6 +4,7 @@ libmvec {
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_ZGVbN2v_sin; _ZGVcN4v_sin; _ZGVdN4v_sin; _ZGVeN8v_sin;
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_ZGVbN2v_sin; _ZGVcN4v_sin; _ZGVdN4v_sin; _ZGVeN8v_sin;
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_ZGVbN2v_log; _ZGVcN4v_log; _ZGVdN4v_log; _ZGVeN8v_log;
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_ZGVbN2v_log; _ZGVcN4v_log; _ZGVdN4v_log; _ZGVeN8v_log;
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_ZGVbN2v_exp; _ZGVcN4v_exp; _ZGVdN4v_exp; _ZGVeN8v_exp;
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_ZGVbN2v_exp; _ZGVcN4v_exp; _ZGVdN4v_exp; _ZGVeN8v_exp;
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_ZGVbN2vv_pow; _ZGVcN4vv_pow; _ZGVdN4vv_pow; _ZGVeN8vv_pow;
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_ZGVbN4v_cosf; _ZGVcN8v_cosf; _ZGVdN8v_cosf; _ZGVeN16v_cosf;
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_ZGVbN4v_cosf; _ZGVcN8v_cosf; _ZGVdN8v_cosf; _ZGVeN16v_cosf;
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_ZGVbN4v_sinf; _ZGVcN8v_sinf; _ZGVdN8v_sinf; _ZGVeN16v_sinf;
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_ZGVbN4v_sinf; _ZGVcN8v_sinf; _ZGVdN8v_sinf; _ZGVeN16v_sinf;
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_ZGVbN4v_logf; _ZGVcN8v_logf; _ZGVdN8v_logf; _ZGVeN16v_logf;
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_ZGVbN4v_logf; _ZGVcN8v_logf; _ZGVdN8v_logf; _ZGVeN16v_logf;
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@ -1947,6 +1947,18 @@ ifloat: 4
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ildouble: 2
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ildouble: 2
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ldouble: 2
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ldouble: 2
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Function: "pow_vlen2":
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double: 1
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Function: "pow_vlen4":
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double: 1
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Function: "pow_vlen4_avx2":
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double: 1
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Function: "pow_vlen8":
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double: 1
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Function: "sin":
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Function: "sin":
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ildouble: 1
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ildouble: 1
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ldouble: 1
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ldouble: 1
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svml_s_logf16_core_avx512 svml_d_exp2_core_sse4 \
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svml_s_logf16_core_avx512 svml_d_exp2_core_sse4 \
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svml_d_exp4_core_avx2 svml_d_exp8_core_avx512 \
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svml_d_exp4_core_avx2 svml_d_exp8_core_avx512 \
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svml_s_expf4_core_sse4 svml_s_expf8_core_avx2 \
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svml_s_expf4_core_sse4 svml_s_expf8_core_avx2 \
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svml_s_expf16_core_avx512
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svml_s_expf16_core_avx512 svml_d_pow2_core_sse4 \
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svml_d_pow4_core_avx2 svml_d_pow8_core_avx512
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endif
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endif
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38
sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S
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38
sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S
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/* Multiple versions of vectorized pow.
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Copyright (C) 2014-2015 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include <init-arch.h>
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.text
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ENTRY (_ZGVbN2vv_pow)
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.type _ZGVbN2vv_pow, @gnu_indirect_function
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cmpl $0, KIND_OFFSET+__cpu_features(%rip)
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jne 1f
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call __init_cpu_features
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1: leaq _ZGVbN2vv_pow_sse4(%rip), %rax
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testl $bit_SSE4_1, __cpu_features+CPUID_OFFSET+index_SSE4_1(%rip)
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jz 2f
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ret
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2: leaq _ZGVbN2vv_pow_sse2(%rip), %rax
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ret
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END (_ZGVbN2vv_pow)
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libmvec_hidden_def (_ZGVbN2vv_pow)
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#define _ZGVbN2vv_pow _ZGVbN2vv_pow_sse2
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#include "../svml_d_pow2_core.S"
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432
sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S
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432
sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S
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/* Function pow vectorized with SSE4.
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Copyright (C) 2014-2015 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_pow_data.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVbN2vv_pow_sse4)
|
||||||
|
/*
|
||||||
|
ALGORITHM DESCRIPTION:
|
||||||
|
|
||||||
|
1) Calculating log2|x|
|
||||||
|
Here we use the following formula.
|
||||||
|
Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
|
||||||
|
Let C ~= 1/ln(2),
|
||||||
|
Rcp1 ~= 1/X1, X2=Rcp1*X1,
|
||||||
|
Rcp2 ~= 1/X2, X3=Rcp2*X2,
|
||||||
|
Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
|
||||||
|
Then
|
||||||
|
log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C),
|
||||||
|
where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
|
||||||
|
|
||||||
|
The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
|
||||||
|
Rcp3C, log2(C/Rcp3C) are taken from tables.
|
||||||
|
Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
|
||||||
|
is exactly represented in target precision.
|
||||||
|
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
|
||||||
|
= 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
|
||||||
|
= 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
|
||||||
|
= (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
|
||||||
|
where cq = X1*Rcp1*Rcp2*Rcp3C-C,
|
||||||
|
a1=1/(C*ln(2))-1 is small,
|
||||||
|
a2=1/(2*C^2*ln2),
|
||||||
|
a3=1/(3*C^3*ln2),
|
||||||
|
...
|
||||||
|
We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
|
||||||
|
|
||||||
|
2) Calculation of y*(HH+HL+HLL).
|
||||||
|
Split y into YHi+YLo.
|
||||||
|
Get high PH and medium PL parts of y*log2|x|.
|
||||||
|
Get low PLL part of y*log2|x|.
|
||||||
|
Now we have PH+PL+PLL ~= y*log2|x|.
|
||||||
|
|
||||||
|
3) Calculation of 2^(PH+PL+PLL).
|
||||||
|
Mathematical idea of computing 2^(PH+PL+PLL) is the following.
|
||||||
|
Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
|
||||||
|
where expK=7 in this implementation, N and j are integers,
|
||||||
|
0<=j<=2^expK-1, |Z|<2^(-expK-1).
|
||||||
|
Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
|
||||||
|
where 2^(j/2^expK) is stored in a table, and
|
||||||
|
2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
|
||||||
|
|
||||||
|
We compute 2^(PH+PL+PLL) as follows.
|
||||||
|
Break PH into PHH + PHL, where PHH = N + j/2^expK.
|
||||||
|
Z = PHL + PL + PLL
|
||||||
|
Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
|
||||||
|
Get 2^(j/2^expK) from table in the form THI+TLO.
|
||||||
|
Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
|
||||||
|
|
||||||
|
Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
|
||||||
|
ResHi := THI
|
||||||
|
ResLo := THI * Exp2Poly + TLO
|
||||||
|
|
||||||
|
Get exponent ERes of the result:
|
||||||
|
Res := ResHi + ResLo:
|
||||||
|
Result := ex(Res) + N. */
|
||||||
|
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-64, %rsp
|
||||||
|
subq $256, %rsp
|
||||||
|
movq __svml_dpow_data@GOTPCREL(%rip), %rdx
|
||||||
|
movups %xmm14, 80(%rsp)
|
||||||
|
movups %xmm9, 176(%rsp)
|
||||||
|
movaps %xmm1, %xmm9
|
||||||
|
pshufd $221, %xmm0, %xmm1
|
||||||
|
movq _iIndexMask(%rdx), %xmm14
|
||||||
|
movq _iIndexAdd(%rdx), %xmm6
|
||||||
|
|
||||||
|
/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
|
||||||
|
pand %xmm1, %xmm14
|
||||||
|
paddd %xmm6, %xmm14
|
||||||
|
psrld $10, %xmm14
|
||||||
|
movups %xmm13, 96(%rsp)
|
||||||
|
|
||||||
|
/* Index for reciprocal table */
|
||||||
|
movdqa %xmm14, %xmm13
|
||||||
|
pslld $3, %xmm13
|
||||||
|
|
||||||
|
/* Index for log2 table */
|
||||||
|
pslld $4, %xmm14
|
||||||
|
movd %xmm13, %eax
|
||||||
|
movups %xmm10, 160(%rsp)
|
||||||
|
movups _iMantissaMask(%rdx), %xmm10
|
||||||
|
movslq %eax, %rax
|
||||||
|
|
||||||
|
/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
|
||||||
|
andps %xmm0, %xmm10
|
||||||
|
pextrd $1, %xmm13, %ecx
|
||||||
|
movslq %ecx, %rcx
|
||||||
|
movups %xmm0, (%rsp)
|
||||||
|
movdqa %xmm1, %xmm0
|
||||||
|
|
||||||
|
/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
|
||||||
|
movq _i3fe7fe00(%rdx), %xmm6
|
||||||
|
psubd %xmm6, %xmm0
|
||||||
|
movups _iHighMask(%rdx), %xmm6
|
||||||
|
psrad $20, %xmm0
|
||||||
|
movups %xmm15, 48(%rsp)
|
||||||
|
movups %xmm12, 112(%rsp)
|
||||||
|
orps _dbOne(%rdx), %xmm10
|
||||||
|
movsd 11712(%rdx,%rax), %xmm12
|
||||||
|
movd %xmm14, %r8d
|
||||||
|
movq _i2p20_2p19(%rdx), %xmm15
|
||||||
|
movhpd 11712(%rdx,%rcx), %xmm12
|
||||||
|
paddd %xmm15, %xmm0
|
||||||
|
pextrd $1, %xmm14, %r9d
|
||||||
|
|
||||||
|
/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
|
||||||
|
movaps %xmm6, %xmm14
|
||||||
|
andps %xmm10, %xmm14
|
||||||
|
movaps %xmm10, %xmm15
|
||||||
|
subpd %xmm14, %xmm15
|
||||||
|
|
||||||
|
/* r1 = x1*rcp1 */
|
||||||
|
mulpd %xmm12, %xmm10
|
||||||
|
|
||||||
|
/* E = -r1+__fence(x1Hi*rcp1) */
|
||||||
|
mulpd %xmm12, %xmm14
|
||||||
|
|
||||||
|
/* E=E+x1Lo*rcp1 */
|
||||||
|
mulpd %xmm15, %xmm12
|
||||||
|
subpd %xmm10, %xmm14
|
||||||
|
pshufd $80, %xmm0, %xmm0
|
||||||
|
movslq %r8d, %r8
|
||||||
|
andps _iffffffff00000000(%rdx), %xmm0
|
||||||
|
subpd _db2p20_2p19(%rdx), %xmm0
|
||||||
|
addpd %xmm12, %xmm14
|
||||||
|
movslq %r9d, %r9
|
||||||
|
|
||||||
|
/* T_Rh_Eh = T_Rh + E */
|
||||||
|
movaps %xmm14, %xmm15
|
||||||
|
movups %xmm8, 208(%rsp)
|
||||||
|
movups 19968(%rdx,%r8), %xmm8
|
||||||
|
movups %xmm11, 144(%rsp)
|
||||||
|
movaps %xmm8, %xmm11
|
||||||
|
|
||||||
|
/* cq = c+r1 */
|
||||||
|
movups _LHN(%rdx), %xmm13
|
||||||
|
movhpd 19968(%rdx,%r9), %xmm11
|
||||||
|
addpd %xmm10, %xmm13
|
||||||
|
|
||||||
|
/* T = k + L1hi */
|
||||||
|
addpd %xmm0, %xmm11
|
||||||
|
|
||||||
|
/* T_Rh = T + cq */
|
||||||
|
movaps %xmm13, %xmm12
|
||||||
|
addpd %xmm11, %xmm12
|
||||||
|
addpd %xmm12, %xmm15
|
||||||
|
|
||||||
|
/* Rl = T-T_Rh; -> -Rh */
|
||||||
|
subpd %xmm12, %xmm11
|
||||||
|
|
||||||
|
/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
|
||||||
|
subpd %xmm15, %xmm12
|
||||||
|
|
||||||
|
/* Rl=Rl+cq; */
|
||||||
|
addpd %xmm13, %xmm11
|
||||||
|
|
||||||
|
/* cq = cq + E */
|
||||||
|
addpd %xmm14, %xmm13
|
||||||
|
|
||||||
|
/* HLL+=E; -> El */
|
||||||
|
addpd %xmm14, %xmm12
|
||||||
|
|
||||||
|
/* HLL+=Rl */
|
||||||
|
addpd %xmm12, %xmm11
|
||||||
|
unpckhpd 19968(%rdx,%r9), %xmm8
|
||||||
|
|
||||||
|
/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
|
||||||
|
movaps %xmm15, %xmm14
|
||||||
|
|
||||||
|
/* HLL+=L1lo; */
|
||||||
|
addpd %xmm11, %xmm8
|
||||||
|
movups _clv_2(%rdx), %xmm11
|
||||||
|
|
||||||
|
/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
|
||||||
|
movaps %xmm6, %xmm12
|
||||||
|
|
||||||
|
/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
|
||||||
|
mulpd %xmm13, %xmm11
|
||||||
|
addpd _clv_3(%rdx), %xmm11
|
||||||
|
mulpd %xmm13, %xmm11
|
||||||
|
addpd _clv_4(%rdx), %xmm11
|
||||||
|
mulpd %xmm13, %xmm11
|
||||||
|
addpd _clv_5(%rdx), %xmm11
|
||||||
|
mulpd %xmm13, %xmm11
|
||||||
|
addpd _clv_6(%rdx), %xmm11
|
||||||
|
mulpd %xmm13, %xmm11
|
||||||
|
addpd _clv_7(%rdx), %xmm11
|
||||||
|
mulpd %xmm11, %xmm13
|
||||||
|
addpd %xmm13, %xmm8
|
||||||
|
addpd %xmm8, %xmm14
|
||||||
|
|
||||||
|
/*
|
||||||
|
2^(y*(HH+HL+HLL)) starts here:
|
||||||
|
yH = y; Lo(yH)&=0xf8000000
|
||||||
|
*/
|
||||||
|
andps %xmm9, %xmm6
|
||||||
|
|
||||||
|
/* yL = y-yH; */
|
||||||
|
movaps %xmm9, %xmm11
|
||||||
|
subpd %xmm6, %xmm11
|
||||||
|
andps %xmm14, %xmm12
|
||||||
|
|
||||||
|
/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
|
||||||
|
movaps %xmm14, %xmm10
|
||||||
|
|
||||||
|
/* HL = T_Rh_Eh_HLLhi-HH; */
|
||||||
|
subpd %xmm12, %xmm14
|
||||||
|
subpd %xmm15, %xmm10
|
||||||
|
movq _HIDELTA(%rdx), %xmm2
|
||||||
|
|
||||||
|
/* pH = yH*HH; */
|
||||||
|
movaps %xmm6, %xmm13
|
||||||
|
movq _LORANGE(%rdx), %xmm3
|
||||||
|
paddd %xmm2, %xmm1
|
||||||
|
pcmpgtd %xmm1, %xmm3
|
||||||
|
|
||||||
|
/* pL=yL*HL+yH*HL; pL+=yL*HH; */
|
||||||
|
movaps %xmm11, %xmm1
|
||||||
|
mulpd %xmm14, %xmm1
|
||||||
|
mulpd %xmm14, %xmm6
|
||||||
|
mulpd %xmm12, %xmm13
|
||||||
|
mulpd %xmm11, %xmm12
|
||||||
|
addpd %xmm6, %xmm1
|
||||||
|
|
||||||
|
/* HLL = HLL - HLLhi */
|
||||||
|
subpd %xmm10, %xmm8
|
||||||
|
addpd %xmm12, %xmm1
|
||||||
|
|
||||||
|
/* pLL = y*HLL */
|
||||||
|
mulpd %xmm9, %xmm8
|
||||||
|
movups _db2p45_2p44(%rdx), %xmm11
|
||||||
|
|
||||||
|
/* pHH = pH + *(double*)&db2p45_2p44 */
|
||||||
|
movaps %xmm11, %xmm12
|
||||||
|
addpd %xmm13, %xmm12
|
||||||
|
|
||||||
|
/* t=pL+pLL; t+=pHL */
|
||||||
|
addpd %xmm8, %xmm1
|
||||||
|
movq _ABSMASK(%rdx), %xmm5
|
||||||
|
pshufd $221, %xmm9, %xmm4
|
||||||
|
pand %xmm5, %xmm4
|
||||||
|
movq _INF(%rdx), %xmm7
|
||||||
|
movdqa %xmm4, %xmm2
|
||||||
|
pcmpgtd %xmm7, %xmm2
|
||||||
|
pcmpeqd %xmm7, %xmm4
|
||||||
|
pshufd $136, %xmm12, %xmm7
|
||||||
|
por %xmm4, %xmm2
|
||||||
|
|
||||||
|
/* pHH = pHH - *(double*)&db2p45_2p44 */
|
||||||
|
subpd %xmm11, %xmm12
|
||||||
|
pshufd $221, %xmm13, %xmm10
|
||||||
|
por %xmm2, %xmm3
|
||||||
|
|
||||||
|
/* pHL = pH - pHH; */
|
||||||
|
subpd %xmm12, %xmm13
|
||||||
|
pand %xmm5, %xmm10
|
||||||
|
movq _DOMAINRANGE(%rdx), %xmm5
|
||||||
|
movdqa %xmm10, %xmm4
|
||||||
|
addpd %xmm1, %xmm13
|
||||||
|
pcmpgtd %xmm5, %xmm4
|
||||||
|
pcmpeqd %xmm5, %xmm10
|
||||||
|
por %xmm10, %xmm4
|
||||||
|
movq _jIndexMask(%rdx), %xmm6
|
||||||
|
por %xmm4, %xmm3
|
||||||
|
movmskps %xmm3, %eax
|
||||||
|
|
||||||
|
/* j = Lo(pHH)&0x0000007f */
|
||||||
|
pand %xmm7, %xmm6
|
||||||
|
movq _iOne(%rdx), %xmm3
|
||||||
|
|
||||||
|
/* _n = Lo(pHH);
|
||||||
|
_n = _n & 0xffffff80;
|
||||||
|
_n = _n >> 7;
|
||||||
|
Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
|
||||||
|
*/
|
||||||
|
pslld $13, %xmm7
|
||||||
|
paddd %xmm3, %xmm7
|
||||||
|
pslld $4, %xmm6
|
||||||
|
movups _cev_1(%rdx), %xmm3
|
||||||
|
movaps %xmm13, %xmm4
|
||||||
|
mulpd %xmm13, %xmm3
|
||||||
|
|
||||||
|
/* T1 = ((double*)exp2_tbl)[ 2*j ] */
|
||||||
|
movd %xmm6, %r10d
|
||||||
|
pshufd $80, %xmm7, %xmm0
|
||||||
|
andps _ifff0000000000000(%rdx), %xmm0
|
||||||
|
addpd _cev_2(%rdx), %xmm3
|
||||||
|
mulpd %xmm13, %xmm3
|
||||||
|
addpd _cev_3(%rdx), %xmm3
|
||||||
|
mulpd %xmm13, %xmm3
|
||||||
|
movslq %r10d, %r10
|
||||||
|
andl $3, %eax
|
||||||
|
pextrd $1, %xmm6, %r11d
|
||||||
|
movslq %r11d, %r11
|
||||||
|
addpd _cev_4(%rdx), %xmm3
|
||||||
|
movsd 36416(%rdx,%r10), %xmm2
|
||||||
|
movhpd 36416(%rdx,%r11), %xmm2
|
||||||
|
mulpd %xmm2, %xmm0
|
||||||
|
mulpd %xmm3, %xmm13
|
||||||
|
mulpd %xmm0, %xmm4
|
||||||
|
addpd _cev_5(%rdx), %xmm13
|
||||||
|
mulpd %xmm4, %xmm13
|
||||||
|
addpd %xmm13, %xmm0
|
||||||
|
jne .LBL_1_3
|
||||||
|
|
||||||
|
.LBL_1_2:
|
||||||
|
cfi_remember_state
|
||||||
|
movups 208(%rsp), %xmm8
|
||||||
|
movups 176(%rsp), %xmm9
|
||||||
|
movups 160(%rsp), %xmm10
|
||||||
|
movups 144(%rsp), %xmm11
|
||||||
|
movups 112(%rsp), %xmm12
|
||||||
|
movups 96(%rsp), %xmm13
|
||||||
|
movups 80(%rsp), %xmm14
|
||||||
|
movups 48(%rsp), %xmm15
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
|
||||||
|
.LBL_1_3:
|
||||||
|
cfi_restore_state
|
||||||
|
movups (%rsp), %xmm1
|
||||||
|
movups %xmm1, 64(%rsp)
|
||||||
|
movups %xmm9, 128(%rsp)
|
||||||
|
movups %xmm0, 192(%rsp)
|
||||||
|
je .LBL_1_2
|
||||||
|
|
||||||
|
xorb %cl, %cl
|
||||||
|
xorl %edx, %edx
|
||||||
|
movq %rsi, 8(%rsp)
|
||||||
|
movq %rdi, (%rsp)
|
||||||
|
movq %r12, 40(%rsp)
|
||||||
|
cfi_offset_rel_rsp (12, 40)
|
||||||
|
movb %cl, %r12b
|
||||||
|
movq %r13, 32(%rsp)
|
||||||
|
cfi_offset_rel_rsp (13, 32)
|
||||||
|
movl %eax, %r13d
|
||||||
|
movq %r14, 24(%rsp)
|
||||||
|
cfi_offset_rel_rsp (14, 24)
|
||||||
|
movl %edx, %r14d
|
||||||
|
movq %r15, 16(%rsp)
|
||||||
|
cfi_offset_rel_rsp (15, 16)
|
||||||
|
cfi_remember_state
|
||||||
|
|
||||||
|
.LBL_1_6:
|
||||||
|
btl %r14d, %r13d
|
||||||
|
jc .LBL_1_12
|
||||||
|
|
||||||
|
.LBL_1_7:
|
||||||
|
lea 1(%r14), %esi
|
||||||
|
btl %esi, %r13d
|
||||||
|
jc .LBL_1_10
|
||||||
|
|
||||||
|
.LBL_1_8:
|
||||||
|
incb %r12b
|
||||||
|
addl $2, %r14d
|
||||||
|
cmpb $16, %r12b
|
||||||
|
jb .LBL_1_6
|
||||||
|
|
||||||
|
movq 8(%rsp), %rsi
|
||||||
|
movq (%rsp), %rdi
|
||||||
|
movq 40(%rsp), %r12
|
||||||
|
cfi_restore (%r12)
|
||||||
|
movq 32(%rsp), %r13
|
||||||
|
cfi_restore (%r13)
|
||||||
|
movq 24(%rsp), %r14
|
||||||
|
cfi_restore (%r14)
|
||||||
|
movq 16(%rsp), %r15
|
||||||
|
cfi_restore (%r15)
|
||||||
|
movups 192(%rsp), %xmm0
|
||||||
|
jmp .LBL_1_2
|
||||||
|
|
||||||
|
.LBL_1_10:
|
||||||
|
cfi_restore_state
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
movsd 72(%rsp,%r15), %xmm0
|
||||||
|
movsd 136(%rsp,%r15), %xmm1
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
movsd %xmm0, 200(%rsp,%r15)
|
||||||
|
jmp .LBL_1_8
|
||||||
|
|
||||||
|
.LBL_1_12:
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
movsd 64(%rsp,%r15), %xmm0
|
||||||
|
movsd 128(%rsp,%r15), %xmm1
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
movsd %xmm0, 192(%rsp,%r15)
|
||||||
|
jmp .LBL_1_7
|
||||||
|
|
||||||
|
END (_ZGVbN2vv_pow_sse4)
|
38
sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S
Normal file
38
sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S
Normal file
@ -0,0 +1,38 @@
|
|||||||
|
/* Multiple versions of vectorized pow.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include <init-arch.h>
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVdN4vv_pow)
|
||||||
|
.type _ZGVdN4vv_pow, @gnu_indirect_function
|
||||||
|
cmpl $0, KIND_OFFSET+__cpu_features(%rip)
|
||||||
|
jne 1f
|
||||||
|
call __init_cpu_features
|
||||||
|
1: leaq _ZGVdN4vv_pow_avx2(%rip), %rax
|
||||||
|
testl $bit_AVX2_Usable, __cpu_features+FEATURE_OFFSET+index_AVX2_Usable(%rip)
|
||||||
|
jz 2f
|
||||||
|
ret
|
||||||
|
2: leaq _ZGVdN4vv_pow_sse_wrapper(%rip), %rax
|
||||||
|
ret
|
||||||
|
END (_ZGVdN4vv_pow)
|
||||||
|
libmvec_hidden_def (_ZGVdN4vv_pow)
|
||||||
|
|
||||||
|
#define _ZGVdN4vv_pow _ZGVdN4vv_pow_sse_wrapper
|
||||||
|
#include "../svml_d_pow4_core.S"
|
387
sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S
Normal file
387
sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S
Normal file
@ -0,0 +1,387 @@
|
|||||||
|
/* Function pow vectorized with AVX2.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_pow_data.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVdN4vv_pow_avx2)
|
||||||
|
/*
|
||||||
|
ALGORITHM DESCRIPTION:
|
||||||
|
|
||||||
|
1) Calculating log2|x|
|
||||||
|
Here we use the following formula.
|
||||||
|
Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
|
||||||
|
Let C ~= 1/ln(2),
|
||||||
|
Rcp1 ~= 1/X1, X2=Rcp1*X1,
|
||||||
|
Rcp2 ~= 1/X2, X3=Rcp2*X2,
|
||||||
|
Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
|
||||||
|
Then
|
||||||
|
log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C),
|
||||||
|
where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
|
||||||
|
|
||||||
|
The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
|
||||||
|
Rcp3C, log2(C/Rcp3C) are taken from tables.
|
||||||
|
Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
|
||||||
|
is exactly represented in target precision.
|
||||||
|
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
|
||||||
|
= 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
|
||||||
|
= 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
|
||||||
|
= (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
|
||||||
|
where cq = X1*Rcp1*Rcp2*Rcp3C-C,
|
||||||
|
a1=1/(C*ln(2))-1 is small,
|
||||||
|
a2=1/(2*C^2*ln2),
|
||||||
|
a3=1/(3*C^3*ln2),
|
||||||
|
...
|
||||||
|
We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
|
||||||
|
|
||||||
|
2) Calculation of y*(HH+HL+HLL).
|
||||||
|
Split y into YHi+YLo.
|
||||||
|
Get high PH and medium PL parts of y*log2|x|.
|
||||||
|
Get low PLL part of y*log2|x|.
|
||||||
|
Now we have PH+PL+PLL ~= y*log2|x|.
|
||||||
|
|
||||||
|
3) Calculation of 2^(PH+PL+PLL).
|
||||||
|
Mathematical idea of computing 2^(PH+PL+PLL) is the following.
|
||||||
|
Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
|
||||||
|
where expK=7 in this implementation, N and j are integers,
|
||||||
|
0<=j<=2^expK-1, |Z|<2^(-expK-1).
|
||||||
|
Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
|
||||||
|
where 2^(j/2^expK) is stored in a table, and
|
||||||
|
2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
|
||||||
|
|
||||||
|
We compute 2^(PH+PL+PLL) as follows.
|
||||||
|
Break PH into PHH + PHL, where PHH = N + j/2^expK.
|
||||||
|
Z = PHL + PL + PLL
|
||||||
|
Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
|
||||||
|
Get 2^(j/2^expK) from table in the form THI+TLO.
|
||||||
|
Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
|
||||||
|
|
||||||
|
Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
|
||||||
|
ResHi := THI
|
||||||
|
ResLo := THI * Exp2Poly + TLO
|
||||||
|
|
||||||
|
Get exponent ERes of the result:
|
||||||
|
Res := ResHi + ResLo:
|
||||||
|
Result := ex(Res) + N. */
|
||||||
|
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-64, %rsp
|
||||||
|
subq $448, %rsp
|
||||||
|
movq __svml_dpow_data@GOTPCREL(%rip), %rax
|
||||||
|
vmovups %ymm11, 160(%rsp)
|
||||||
|
vmovups %ymm8, 224(%rsp)
|
||||||
|
vmovups %ymm10, 352(%rsp)
|
||||||
|
vmovups %ymm9, 384(%rsp)
|
||||||
|
vmovups %ymm13, 288(%rsp)
|
||||||
|
vmovapd %ymm1, %ymm11
|
||||||
|
vxorpd %ymm1, %ymm1, %ymm1
|
||||||
|
vextracti128 $1, %ymm0, %xmm5
|
||||||
|
vshufps $221, %xmm5, %xmm0, %xmm5
|
||||||
|
|
||||||
|
/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
|
||||||
|
vandps _iIndexMask(%rax), %xmm5, %xmm3
|
||||||
|
vpaddd _iIndexAdd(%rax), %xmm3, %xmm6
|
||||||
|
vpsrld $10, %xmm6, %xmm8
|
||||||
|
|
||||||
|
/* Index for reciprocal table */
|
||||||
|
vpslld $3, %xmm8, %xmm9
|
||||||
|
|
||||||
|
/* Index for log2 table */
|
||||||
|
vpslld $4, %xmm8, %xmm6
|
||||||
|
|
||||||
|
/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
|
||||||
|
vandpd _iMantissaMask(%rax), %ymm0, %ymm4
|
||||||
|
vorpd _dbOne(%rax), %ymm4, %ymm13
|
||||||
|
vpcmpeqd %ymm4, %ymm4, %ymm4
|
||||||
|
vpcmpeqd %ymm8, %ymm8, %ymm8
|
||||||
|
|
||||||
|
/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
|
||||||
|
vpsubd _i3fe7fe00(%rax), %xmm5, %xmm3
|
||||||
|
vpaddd _HIDELTA(%rax), %xmm5, %xmm5
|
||||||
|
vextracti128 $1, %ymm11, %xmm7
|
||||||
|
vshufps $221, %xmm7, %xmm11, %xmm2
|
||||||
|
vpand _ABSMASK(%rax), %xmm2, %xmm10
|
||||||
|
vpcmpeqd %ymm2, %ymm2, %ymm2
|
||||||
|
vgatherdpd %ymm2, 11712(%rax,%xmm9), %ymm1
|
||||||
|
vmovups _LORANGE(%rax), %xmm7
|
||||||
|
vxorpd %ymm2, %ymm2, %ymm2
|
||||||
|
vgatherdpd %ymm4, 19968(%rax,%xmm6), %ymm2
|
||||||
|
vxorpd %ymm4, %ymm4, %ymm4
|
||||||
|
vgatherdpd %ymm8, 19976(%rax,%xmm6), %ymm4
|
||||||
|
vpsrad $20, %xmm3, %xmm6
|
||||||
|
vpaddd _i2p20_2p19(%rax), %xmm6, %xmm9
|
||||||
|
vpshufd $80, %xmm9, %xmm8
|
||||||
|
vpshufd $250, %xmm9, %xmm3
|
||||||
|
|
||||||
|
/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
|
||||||
|
vandpd _iHighMask(%rax), %ymm13, %ymm9
|
||||||
|
vinserti128 $1, %xmm3, %ymm8, %ymm6
|
||||||
|
vandpd _iffffffff00000000(%rax), %ymm6, %ymm8
|
||||||
|
|
||||||
|
/* r1 = x1*rcp1 */
|
||||||
|
vmulpd %ymm1, %ymm13, %ymm6
|
||||||
|
vsubpd %ymm9, %ymm13, %ymm3
|
||||||
|
vsubpd _db2p20_2p19(%rax), %ymm8, %ymm8
|
||||||
|
|
||||||
|
/* cq = c+r1 */
|
||||||
|
vaddpd _LHN(%rax), %ymm6, %ymm13
|
||||||
|
|
||||||
|
/* E = -r1+__fence(x1Hi*rcp1) */
|
||||||
|
vfmsub213pd %ymm6, %ymm1, %ymm9
|
||||||
|
|
||||||
|
/* E=E+x1Lo*rcp1 */
|
||||||
|
vfmadd213pd %ymm9, %ymm1, %ymm3
|
||||||
|
|
||||||
|
/* T = k + L1hi */
|
||||||
|
vaddpd %ymm2, %ymm8, %ymm1
|
||||||
|
|
||||||
|
/* T_Rh = T + cq */
|
||||||
|
vaddpd %ymm13, %ymm1, %ymm8
|
||||||
|
|
||||||
|
/* Rl = T-T_Rh; -> -Rh */
|
||||||
|
vsubpd %ymm8, %ymm1, %ymm6
|
||||||
|
|
||||||
|
/* Rl=Rl+cq */
|
||||||
|
vaddpd %ymm6, %ymm13, %ymm1
|
||||||
|
|
||||||
|
/* T_Rh_Eh = T_Rh + E */
|
||||||
|
vaddpd %ymm3, %ymm8, %ymm6
|
||||||
|
|
||||||
|
/* cq = cq + E */
|
||||||
|
vaddpd %ymm3, %ymm13, %ymm13
|
||||||
|
|
||||||
|
/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
|
||||||
|
vsubpd %ymm6, %ymm8, %ymm9
|
||||||
|
|
||||||
|
/* HLL+=E; -> El */
|
||||||
|
vaddpd %ymm9, %ymm3, %ymm2
|
||||||
|
|
||||||
|
/* HLL+=Rl */
|
||||||
|
vaddpd %ymm1, %ymm2, %ymm8
|
||||||
|
|
||||||
|
/* HLL+=L1lo */
|
||||||
|
vaddpd %ymm4, %ymm8, %ymm4
|
||||||
|
vmovupd _clv_2(%rax), %ymm8
|
||||||
|
|
||||||
|
/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
|
||||||
|
vfmadd213pd _clv_3(%rax), %ymm13, %ymm8
|
||||||
|
vfmadd213pd _clv_4(%rax), %ymm13, %ymm8
|
||||||
|
vfmadd213pd _clv_5(%rax), %ymm13, %ymm8
|
||||||
|
vfmadd213pd _clv_6(%rax), %ymm13, %ymm8
|
||||||
|
vfmadd213pd _clv_7(%rax), %ymm13, %ymm8
|
||||||
|
vfmadd213pd %ymm4, %ymm13, %ymm8
|
||||||
|
|
||||||
|
/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
|
||||||
|
vaddpd %ymm8, %ymm6, %ymm9
|
||||||
|
|
||||||
|
/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
|
||||||
|
vandpd _iHighMask(%rax), %ymm9, %ymm2
|
||||||
|
|
||||||
|
/*
|
||||||
|
2^(y*(HH+HL+HLL)) starts here:
|
||||||
|
yH = y; Lo(yH)&=0xf8000000;
|
||||||
|
*/
|
||||||
|
vandpd _iHighMask(%rax), %ymm11, %ymm1
|
||||||
|
|
||||||
|
/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
|
||||||
|
vsubpd %ymm6, %ymm9, %ymm13
|
||||||
|
|
||||||
|
/* HL = T_Rh_Eh_HLLhi-HH */
|
||||||
|
vsubpd %ymm2, %ymm9, %ymm4
|
||||||
|
|
||||||
|
/* pH = yH*HH */
|
||||||
|
vmulpd %ymm2, %ymm1, %ymm9
|
||||||
|
|
||||||
|
/* HLL = HLL - HLLhi */
|
||||||
|
vsubpd %ymm13, %ymm8, %ymm6
|
||||||
|
|
||||||
|
/* yL = y-yH */
|
||||||
|
vsubpd %ymm1, %ymm11, %ymm8
|
||||||
|
vextracti128 $1, %ymm9, %xmm3
|
||||||
|
vshufps $221, %xmm3, %xmm9, %xmm13
|
||||||
|
vpand _ABSMASK(%rax), %xmm13, %xmm3
|
||||||
|
vpcmpgtd %xmm5, %xmm7, %xmm13
|
||||||
|
vpcmpgtd _INF(%rax), %xmm10, %xmm7
|
||||||
|
vpcmpeqd _INF(%rax), %xmm10, %xmm10
|
||||||
|
vpor %xmm10, %xmm7, %xmm7
|
||||||
|
vpor %xmm7, %xmm13, %xmm5
|
||||||
|
|
||||||
|
/* pL=yL*HL+yH*HL; pL+=yL*HH */
|
||||||
|
vmulpd %ymm4, %ymm8, %ymm7
|
||||||
|
vpcmpgtd _DOMAINRANGE(%rax), %xmm3, %xmm13
|
||||||
|
vpcmpeqd _DOMAINRANGE(%rax), %xmm3, %xmm10
|
||||||
|
vpor %xmm10, %xmm13, %xmm3
|
||||||
|
vpor %xmm3, %xmm5, %xmm13
|
||||||
|
vfmadd213pd %ymm7, %ymm4, %ymm1
|
||||||
|
|
||||||
|
/* pLL = y*HLL;
|
||||||
|
pHH = pH + *(double*)&db2p45_2p44
|
||||||
|
*/
|
||||||
|
vaddpd _db2p45_2p44(%rax), %ymm9, %ymm7
|
||||||
|
vmovmskps %xmm13, %ecx
|
||||||
|
vfmadd213pd %ymm1, %ymm2, %ymm8
|
||||||
|
|
||||||
|
/* t=pL+pLL; t+=pHL */
|
||||||
|
vfmadd231pd %ymm11, %ymm6, %ymm8
|
||||||
|
vextracti128 $1, %ymm7, %xmm1
|
||||||
|
vshufps $136, %xmm1, %xmm7, %xmm10
|
||||||
|
|
||||||
|
/* _n = Lo(pHH);
|
||||||
|
_n = _n & 0xffffff80;
|
||||||
|
_n = _n >> 7;
|
||||||
|
Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
|
||||||
|
*/
|
||||||
|
vpslld $13, %xmm10, %xmm2
|
||||||
|
vpaddd _iOne(%rax), %xmm2, %xmm13
|
||||||
|
vpshufd $80, %xmm13, %xmm4
|
||||||
|
vpshufd $250, %xmm13, %xmm1
|
||||||
|
|
||||||
|
/* j = Lo(pHH)&0x0000007f */
|
||||||
|
vandps _jIndexMask(%rax), %xmm10, %xmm3
|
||||||
|
|
||||||
|
/* T1 = ((double*)exp2_tbl)[ 2*j ] */
|
||||||
|
vpcmpeqd %ymm10, %ymm10, %ymm10
|
||||||
|
vpslld $4, %xmm3, %xmm5
|
||||||
|
|
||||||
|
/* pHH = pHH - *(double*)&db2p45_2p44 */
|
||||||
|
vsubpd _db2p45_2p44(%rax), %ymm7, %ymm7
|
||||||
|
|
||||||
|
/* pHL = pH - pHH */
|
||||||
|
vsubpd %ymm7, %ymm9, %ymm9
|
||||||
|
vaddpd %ymm9, %ymm8, %ymm6
|
||||||
|
vinserti128 $1, %xmm1, %ymm4, %ymm2
|
||||||
|
vxorpd %ymm1, %ymm1, %ymm1
|
||||||
|
vgatherdpd %ymm10, 36416(%rax,%xmm5), %ymm1
|
||||||
|
vandpd _ifff0000000000000(%rax), %ymm2, %ymm13
|
||||||
|
vmovupd _cev_1(%rax), %ymm2
|
||||||
|
vmulpd %ymm1, %ymm13, %ymm1
|
||||||
|
vfmadd213pd _cev_2(%rax), %ymm6, %ymm2
|
||||||
|
vmulpd %ymm6, %ymm1, %ymm8
|
||||||
|
vfmadd213pd _cev_3(%rax), %ymm6, %ymm2
|
||||||
|
vfmadd213pd _cev_4(%rax), %ymm6, %ymm2
|
||||||
|
vfmadd213pd _cev_5(%rax), %ymm6, %ymm2
|
||||||
|
vfmadd213pd %ymm1, %ymm8, %ymm2
|
||||||
|
testl %ecx, %ecx
|
||||||
|
jne .LBL_1_3
|
||||||
|
|
||||||
|
.LBL_1_2:
|
||||||
|
cfi_remember_state
|
||||||
|
vmovups 224(%rsp), %ymm8
|
||||||
|
vmovups 384(%rsp), %ymm9
|
||||||
|
vmovups 352(%rsp), %ymm10
|
||||||
|
vmovups 160(%rsp), %ymm11
|
||||||
|
vmovups 288(%rsp), %ymm13
|
||||||
|
vmovdqa %ymm2, %ymm0
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
|
||||||
|
.LBL_1_3:
|
||||||
|
cfi_restore_state
|
||||||
|
vmovupd %ymm0, 192(%rsp)
|
||||||
|
vmovupd %ymm11, 256(%rsp)
|
||||||
|
vmovupd %ymm2, 320(%rsp)
|
||||||
|
je .LBL_1_2
|
||||||
|
|
||||||
|
xorb %dl, %dl
|
||||||
|
xorl %eax, %eax
|
||||||
|
vmovups %ymm12, 64(%rsp)
|
||||||
|
vmovups %ymm14, 32(%rsp)
|
||||||
|
vmovups %ymm15, (%rsp)
|
||||||
|
movq %rsi, 104(%rsp)
|
||||||
|
movq %rdi, 96(%rsp)
|
||||||
|
movq %r12, 136(%rsp)
|
||||||
|
cfi_offset_rel_rsp (12, 136)
|
||||||
|
movb %dl, %r12b
|
||||||
|
movq %r13, 128(%rsp)
|
||||||
|
cfi_offset_rel_rsp (13, 128)
|
||||||
|
movl %ecx, %r13d
|
||||||
|
movq %r14, 120(%rsp)
|
||||||
|
cfi_offset_rel_rsp (14, 120)
|
||||||
|
movl %eax, %r14d
|
||||||
|
movq %r15, 112(%rsp)
|
||||||
|
cfi_offset_rel_rsp (15, 112)
|
||||||
|
cfi_remember_state
|
||||||
|
|
||||||
|
.LBL_1_6:
|
||||||
|
btl %r14d, %r13d
|
||||||
|
jc .LBL_1_12
|
||||||
|
|
||||||
|
.LBL_1_7:
|
||||||
|
lea 1(%r14), %esi
|
||||||
|
btl %esi, %r13d
|
||||||
|
jc .LBL_1_10
|
||||||
|
|
||||||
|
.LBL_1_8:
|
||||||
|
incb %r12b
|
||||||
|
addl $2, %r14d
|
||||||
|
cmpb $16, %r12b
|
||||||
|
jb .LBL_1_6
|
||||||
|
|
||||||
|
vmovups 64(%rsp), %ymm12
|
||||||
|
vmovups 32(%rsp), %ymm14
|
||||||
|
vmovups (%rsp), %ymm15
|
||||||
|
vmovupd 320(%rsp), %ymm2
|
||||||
|
movq 104(%rsp), %rsi
|
||||||
|
movq 96(%rsp), %rdi
|
||||||
|
movq 136(%rsp), %r12
|
||||||
|
cfi_restore (%r12)
|
||||||
|
movq 128(%rsp), %r13
|
||||||
|
cfi_restore (%r13)
|
||||||
|
movq 120(%rsp), %r14
|
||||||
|
cfi_restore (%r14)
|
||||||
|
movq 112(%rsp), %r15
|
||||||
|
cfi_restore (%r15)
|
||||||
|
jmp .LBL_1_2
|
||||||
|
|
||||||
|
.LBL_1_10:
|
||||||
|
cfi_restore_state
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 200(%rsp,%r15), %xmm0
|
||||||
|
vmovsd 264(%rsp,%r15), %xmm1
|
||||||
|
vzeroupper
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
vmovsd %xmm0, 328(%rsp,%r15)
|
||||||
|
jmp .LBL_1_8
|
||||||
|
|
||||||
|
.LBL_1_12:
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 192(%rsp,%r15), %xmm0
|
||||||
|
vmovsd 256(%rsp,%r15), %xmm1
|
||||||
|
vzeroupper
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
vmovsd %xmm0, 320(%rsp,%r15)
|
||||||
|
jmp .LBL_1_7
|
||||||
|
|
||||||
|
END (_ZGVdN4vv_pow_avx2)
|
39
sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S
Normal file
39
sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S
Normal file
@ -0,0 +1,39 @@
|
|||||||
|
/* Multiple versions of vectorized pow.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include <init-arch.h>
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVeN8vv_pow)
|
||||||
|
.type _ZGVeN8vv_pow, @gnu_indirect_function
|
||||||
|
cmpl $0, KIND_OFFSET+__cpu_features(%rip)
|
||||||
|
jne 1
|
||||||
|
call __init_cpu_features
|
||||||
|
1: leaq _ZGVeN8vv_pow_skx(%rip), %rax
|
||||||
|
testl $bit_AVX512DQ_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512DQ_Usable(%rip)
|
||||||
|
jnz 3
|
||||||
|
2: leaq _ZGVeN8vv_pow_knl(%rip), %rax
|
||||||
|
testl $bit_AVX512F_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512F_Usable(%rip)
|
||||||
|
jnz 3
|
||||||
|
leaq _ZGVeN8vv_pow_avx2_wrapper(%rip), %rax
|
||||||
|
3: ret
|
||||||
|
END (_ZGVeN8vv_pow)
|
||||||
|
|
||||||
|
#define _ZGVeN8vv_pow _ZGVeN8vv_pow_avx2_wrapper
|
||||||
|
#include "../svml_d_pow8_core.S"
|
741
sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S
Normal file
741
sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S
Normal file
@ -0,0 +1,741 @@
|
|||||||
|
/* Function pow vectorized with AVX-512. KNL and SKX versions.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_pow_data.h"
|
||||||
|
#include "svml_d_wrapper_impl.h"
|
||||||
|
|
||||||
|
/* ALGORITHM DESCRIPTION:
|
||||||
|
|
||||||
|
1) Calculating log2|x|
|
||||||
|
Here we use the following formula.
|
||||||
|
Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
|
||||||
|
Let C ~= 1/ln(2),
|
||||||
|
Rcp1 ~= 1/X1, X2=Rcp1*X1,
|
||||||
|
Rcp2 ~= 1/X2, X3=Rcp2*X2,
|
||||||
|
Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
|
||||||
|
Then
|
||||||
|
log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C),
|
||||||
|
where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
|
||||||
|
|
||||||
|
The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
|
||||||
|
Rcp3C, log2(C/Rcp3C) are taken from tables.
|
||||||
|
Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
|
||||||
|
is exactly represented in target precision.
|
||||||
|
|
||||||
|
log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
|
||||||
|
= 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
|
||||||
|
= 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
|
||||||
|
= (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
|
||||||
|
where cq = X1*Rcp1*Rcp2*Rcp3C-C,
|
||||||
|
a1=1/(C*ln(2))-1 is small,
|
||||||
|
a2=1/(2*C^2*ln2),
|
||||||
|
a3=1/(3*C^3*ln2),
|
||||||
|
...
|
||||||
|
We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
|
||||||
|
|
||||||
|
2) Calculation of y*(HH+HL+HLL).
|
||||||
|
Split y into YHi+YLo.
|
||||||
|
Get high PH and medium PL parts of y*log2|x|.
|
||||||
|
Get low PLL part of y*log2|x|.
|
||||||
|
Now we have PH+PL+PLL ~= y*log2|x|.
|
||||||
|
|
||||||
|
3) Calculation of 2^(PH+PL+PLL).
|
||||||
|
Mathematical idea of computing 2^(PH+PL+PLL) is the following.
|
||||||
|
Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
|
||||||
|
where expK=7 in this implementation, N and j are integers,
|
||||||
|
0<=j<=2^expK-1, |Z|<2^(-expK-1).
|
||||||
|
Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
|
||||||
|
where 2^(j/2^expK) is stored in a table, and
|
||||||
|
2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
|
||||||
|
|
||||||
|
We compute 2^(PH+PL+PLL) as follows.
|
||||||
|
Break PH into PHH + PHL, where PHH = N + j/2^expK.
|
||||||
|
Z = PHL + PL + PLL
|
||||||
|
Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
|
||||||
|
Get 2^(j/2^expK) from table in the form THI+TLO.
|
||||||
|
Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
|
||||||
|
|
||||||
|
Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
|
||||||
|
ResHi := THI
|
||||||
|
ResLo := THI * Exp2Poly + TLO
|
||||||
|
|
||||||
|
Get exponent ERes of the result:
|
||||||
|
Res := ResHi + ResLo:
|
||||||
|
Result := ex(Res) + N. */
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVeN8vv_pow_knl)
|
||||||
|
#ifndef HAVE_AVX512_ASM_SUPPORT
|
||||||
|
WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_pow
|
||||||
|
#else
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-64, %rsp
|
||||||
|
subq $1344, %rsp
|
||||||
|
vpsrlq $32, %zmm0, %zmm13
|
||||||
|
vmovaps %zmm1, %zmm12
|
||||||
|
movq __svml_dpow_data@GOTPCREL(%rip), %rax
|
||||||
|
movl $255, %edx
|
||||||
|
vpmovqd %zmm13, %ymm10
|
||||||
|
vpsrlq $32, %zmm12, %zmm14
|
||||||
|
kmovw %edx, %k1
|
||||||
|
movl $-1, %ecx
|
||||||
|
vpmovqd %zmm14, %ymm15
|
||||||
|
|
||||||
|
/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
|
||||||
|
vmovups _dbOne(%rax), %zmm6
|
||||||
|
|
||||||
|
/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
|
||||||
|
vmovaps %zmm10, %zmm5
|
||||||
|
|
||||||
|
/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
|
||||||
|
vpsubd _i3fe7fe00(%rax), %zmm10, %zmm14{%k1}
|
||||||
|
vpandd _iIndexMask(%rax), %zmm10, %zmm5{%k1}
|
||||||
|
vpsrad $20, %zmm14, %zmm14{%k1}
|
||||||
|
vpxord %zmm9, %zmm9, %zmm9
|
||||||
|
vpaddd _HIDELTA(%rax), %zmm10, %zmm3{%k1}
|
||||||
|
vpaddd _iIndexAdd(%rax), %zmm5, %zmm5{%k1}
|
||||||
|
vpxord %zmm7, %zmm7, %zmm7
|
||||||
|
vpaddd _i2p20_2p19(%rax), %zmm14, %zmm14{%k1}
|
||||||
|
vpcmpd $1, _LORANGE(%rax), %zmm3, %k2{%k1}
|
||||||
|
vpsrld $10, %zmm5, %zmm5{%k1}
|
||||||
|
vpandd _ABSMASK(%rax), %zmm15, %zmm2{%k1}
|
||||||
|
vpbroadcastd %ecx, %zmm1{%k2}{z}
|
||||||
|
|
||||||
|
/* Index for reciprocal table */
|
||||||
|
vpslld $3, %zmm5, %zmm8{%k1}
|
||||||
|
kxnorw %k2, %k2, %k2
|
||||||
|
vgatherdpd 11712(%rax,%ymm8), %zmm9{%k2}
|
||||||
|
vpmovzxdq %ymm14, %zmm10
|
||||||
|
|
||||||
|
/* Index for log2 table */
|
||||||
|
vpslld $4, %zmm5, %zmm13{%k1}
|
||||||
|
kxnorw %k2, %k2, %k2
|
||||||
|
vpsllq $32, %zmm10, %zmm3
|
||||||
|
vpxord %zmm8, %zmm8, %zmm8
|
||||||
|
vpcmpd $5, _INF(%rax), %zmm2, %k3{%k1}
|
||||||
|
vpbroadcastd %ecx, %zmm4{%k3}{z}
|
||||||
|
vpternlogq $248, _iMantissaMask(%rax), %zmm0, %zmm6
|
||||||
|
kxnorw %k3, %k3, %k3
|
||||||
|
vpternlogq $168, _iffffffff00000000(%rax), %zmm10, %zmm3
|
||||||
|
|
||||||
|
/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
|
||||||
|
vpandq _iHighMask(%rax), %zmm6, %zmm2
|
||||||
|
vgatherdpd 19976(%rax,%ymm13), %zmm8{%k2}
|
||||||
|
vpord %zmm4, %zmm1, %zmm11{%k1}
|
||||||
|
vsubpd _db2p20_2p19(%rax), %zmm3, %zmm1
|
||||||
|
vsubpd %zmm2, %zmm6, %zmm5
|
||||||
|
|
||||||
|
/* r1 = x1*rcp1 */
|
||||||
|
vmulpd %zmm9, %zmm6, %zmm6
|
||||||
|
vgatherdpd 19968(%rax,%ymm13), %zmm7{%k3}
|
||||||
|
|
||||||
|
/* cq = c+r1 */
|
||||||
|
vaddpd _LHN(%rax), %zmm6, %zmm4
|
||||||
|
|
||||||
|
/* E = -r1+__fence(x1Hi*rcp1) */
|
||||||
|
vfmsub213pd %zmm6, %zmm9, %zmm2
|
||||||
|
|
||||||
|
/* T = k + L1hi */
|
||||||
|
vaddpd %zmm7, %zmm1, %zmm7
|
||||||
|
|
||||||
|
/* E=E+x1Lo*rcp1 */
|
||||||
|
vfmadd213pd %zmm2, %zmm9, %zmm5
|
||||||
|
|
||||||
|
/* T_Rh = T + cq */
|
||||||
|
vaddpd %zmm4, %zmm7, %zmm3
|
||||||
|
|
||||||
|
/* Rl = T-T_Rh; -> -Rh */
|
||||||
|
vsubpd %zmm3, %zmm7, %zmm9
|
||||||
|
|
||||||
|
/* Rl=Rl+cq */
|
||||||
|
vaddpd %zmm9, %zmm4, %zmm6
|
||||||
|
|
||||||
|
/* T_Rh_Eh = T_Rh + E */
|
||||||
|
vaddpd %zmm5, %zmm3, %zmm9
|
||||||
|
|
||||||
|
/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
|
||||||
|
vsubpd %zmm9, %zmm3, %zmm2
|
||||||
|
|
||||||
|
/* cq = cq + E; */
|
||||||
|
vaddpd %zmm5, %zmm4, %zmm4
|
||||||
|
|
||||||
|
/* HLL+=E; -> El */
|
||||||
|
vaddpd %zmm2, %zmm5, %zmm1
|
||||||
|
vmovups _clv_2(%rax), %zmm5
|
||||||
|
|
||||||
|
/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
|
||||||
|
vfmadd213pd _clv_3(%rax), %zmm4, %zmm5
|
||||||
|
|
||||||
|
/* HLL+=Rl */
|
||||||
|
vaddpd %zmm6, %zmm1, %zmm7
|
||||||
|
|
||||||
|
/* 2^(y*(HH+HL+HLL)) starts here:
|
||||||
|
yH = y; Lo(yH)&=0xf8000000
|
||||||
|
*/
|
||||||
|
vpandq _iHighMask(%rax), %zmm12, %zmm6
|
||||||
|
|
||||||
|
/* yL = y-yH */
|
||||||
|
vsubpd %zmm6, %zmm12, %zmm2
|
||||||
|
vfmadd213pd _clv_4(%rax), %zmm4, %zmm5
|
||||||
|
|
||||||
|
/* HLL+=L1lo */
|
||||||
|
vaddpd %zmm8, %zmm7, %zmm8
|
||||||
|
vfmadd213pd _clv_5(%rax), %zmm4, %zmm5
|
||||||
|
vfmadd213pd _clv_6(%rax), %zmm4, %zmm5
|
||||||
|
vfmadd213pd _clv_7(%rax), %zmm4, %zmm5
|
||||||
|
vfmadd213pd %zmm8, %zmm4, %zmm5
|
||||||
|
|
||||||
|
/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
|
||||||
|
vaddpd %zmm5, %zmm9, %zmm13
|
||||||
|
|
||||||
|
/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
|
||||||
|
vsubpd %zmm9, %zmm13, %zmm10
|
||||||
|
|
||||||
|
/* HLL = HLL - HLLhi */
|
||||||
|
vsubpd %zmm10, %zmm5, %zmm3
|
||||||
|
|
||||||
|
/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
|
||||||
|
vpandq _iHighMask(%rax), %zmm13, %zmm5
|
||||||
|
|
||||||
|
/* pH = yH*HH */
|
||||||
|
vmulpd %zmm5, %zmm6, %zmm1
|
||||||
|
|
||||||
|
/* HL = T_Rh_Eh_HLLhi-HH */
|
||||||
|
vsubpd %zmm5, %zmm13, %zmm4
|
||||||
|
vpsrlq $32, %zmm1, %zmm14
|
||||||
|
|
||||||
|
/* pLL = y*HLL;
|
||||||
|
pHH = pH + *(double*)&db2p45_2p44
|
||||||
|
*/
|
||||||
|
vaddpd _db2p45_2p44(%rax), %zmm1, %zmm10
|
||||||
|
vpmovqd %zmm14, %ymm15
|
||||||
|
vpandd _ABSMASK(%rax), %zmm15, %zmm14{%k1}
|
||||||
|
vpcmpd $5, _DOMAINRANGE(%rax), %zmm14, %k3{%k1}
|
||||||
|
|
||||||
|
/* T1 = ((double*)exp2_tbl)[ 2*j ] */
|
||||||
|
vpxord %zmm14, %zmm14, %zmm14
|
||||||
|
vpbroadcastd %ecx, %zmm13{%k3}{z}
|
||||||
|
vpord %zmm13, %zmm11, %zmm11{%k1}
|
||||||
|
vptestmd %zmm11, %zmm11, %k0{%k1}
|
||||||
|
|
||||||
|
/* pL=yL*HL+yH*HL; pL+=yL*HH */
|
||||||
|
vmulpd %zmm4, %zmm2, %zmm11
|
||||||
|
kmovw %k0, %ecx
|
||||||
|
vfmadd213pd %zmm11, %zmm4, %zmm6
|
||||||
|
|
||||||
|
/* pHH = pHH - *(double*)&db2p45_2p44 */
|
||||||
|
vsubpd _db2p45_2p44(%rax), %zmm10, %zmm11
|
||||||
|
vpmovqd %zmm10, %ymm4
|
||||||
|
movzbl %cl, %ecx
|
||||||
|
|
||||||
|
/* _n = Lo(pHH);
|
||||||
|
_n = _n & 0xffffff80;
|
||||||
|
_n = _n >> 7;
|
||||||
|
Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
|
||||||
|
*/
|
||||||
|
vpslld $13, %zmm4, %zmm7{%k1}
|
||||||
|
|
||||||
|
/* j = Lo(pHH)&0x0000007f */
|
||||||
|
vpandd _jIndexMask(%rax), %zmm4, %zmm9{%k1}
|
||||||
|
vfmadd213pd %zmm6, %zmm5, %zmm2
|
||||||
|
|
||||||
|
/* pHL = pH - pHH */
|
||||||
|
vsubpd %zmm11, %zmm1, %zmm1
|
||||||
|
vpaddd _iOne(%rax), %zmm7, %zmm7{%k1}
|
||||||
|
|
||||||
|
/* t=pL+pLL; t+=pHL */
|
||||||
|
vfmadd231pd %zmm12, %zmm3, %zmm2
|
||||||
|
vpslld $4, %zmm9, %zmm9{%k1}
|
||||||
|
kxnorw %k1, %k1, %k1
|
||||||
|
vgatherdpd 36416(%rax,%ymm9), %zmm14{%k1}
|
||||||
|
vpmovzxdq %ymm7, %zmm8
|
||||||
|
vaddpd %zmm1, %zmm2, %zmm2
|
||||||
|
vmovups _cev_1(%rax), %zmm1
|
||||||
|
vpsllq $32, %zmm8, %zmm13
|
||||||
|
vpternlogq $168, _ifff0000000000000(%rax), %zmm8, %zmm13
|
||||||
|
vfmadd213pd _cev_2(%rax), %zmm2, %zmm1
|
||||||
|
vmulpd %zmm14, %zmm13, %zmm15
|
||||||
|
vfmadd213pd _cev_3(%rax), %zmm2, %zmm1
|
||||||
|
vmulpd %zmm2, %zmm15, %zmm3
|
||||||
|
vfmadd213pd _cev_4(%rax), %zmm2, %zmm1
|
||||||
|
vfmadd213pd _cev_5(%rax), %zmm2, %zmm1
|
||||||
|
vfmadd213pd %zmm15, %zmm3, %zmm1
|
||||||
|
testl %ecx, %ecx
|
||||||
|
jne .LBL_1_3
|
||||||
|
|
||||||
|
.LBL_1_2:
|
||||||
|
cfi_remember_state
|
||||||
|
vmovaps %zmm1, %zmm0
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
|
||||||
|
.LBL_1_3:
|
||||||
|
cfi_restore_state
|
||||||
|
vmovups %zmm0, 1152(%rsp)
|
||||||
|
vmovups %zmm12, 1216(%rsp)
|
||||||
|
vmovups %zmm1, 1280(%rsp)
|
||||||
|
je .LBL_1_2
|
||||||
|
|
||||||
|
xorb %dl, %dl
|
||||||
|
kmovw %k4, 1048(%rsp)
|
||||||
|
xorl %eax, %eax
|
||||||
|
kmovw %k5, 1040(%rsp)
|
||||||
|
kmovw %k6, 1032(%rsp)
|
||||||
|
kmovw %k7, 1024(%rsp)
|
||||||
|
vmovups %zmm16, 960(%rsp)
|
||||||
|
vmovups %zmm17, 896(%rsp)
|
||||||
|
vmovups %zmm18, 832(%rsp)
|
||||||
|
vmovups %zmm19, 768(%rsp)
|
||||||
|
vmovups %zmm20, 704(%rsp)
|
||||||
|
vmovups %zmm21, 640(%rsp)
|
||||||
|
vmovups %zmm22, 576(%rsp)
|
||||||
|
vmovups %zmm23, 512(%rsp)
|
||||||
|
vmovups %zmm24, 448(%rsp)
|
||||||
|
vmovups %zmm25, 384(%rsp)
|
||||||
|
vmovups %zmm26, 320(%rsp)
|
||||||
|
vmovups %zmm27, 256(%rsp)
|
||||||
|
vmovups %zmm28, 192(%rsp)
|
||||||
|
vmovups %zmm29, 128(%rsp)
|
||||||
|
vmovups %zmm30, 64(%rsp)
|
||||||
|
vmovups %zmm31, (%rsp)
|
||||||
|
movq %rsi, 1064(%rsp)
|
||||||
|
movq %rdi, 1056(%rsp)
|
||||||
|
movq %r12, 1096(%rsp)
|
||||||
|
cfi_offset_rel_rsp (12, 1096)
|
||||||
|
movb %dl, %r12b
|
||||||
|
movq %r13, 1088(%rsp)
|
||||||
|
cfi_offset_rel_rsp (13, 1088)
|
||||||
|
movl %ecx, %r13d
|
||||||
|
movq %r14, 1080(%rsp)
|
||||||
|
cfi_offset_rel_rsp (14, 1080)
|
||||||
|
movl %eax, %r14d
|
||||||
|
movq %r15, 1072(%rsp)
|
||||||
|
cfi_offset_rel_rsp (15, 1072)
|
||||||
|
cfi_remember_state
|
||||||
|
|
||||||
|
.LBL_1_6:
|
||||||
|
btl %r14d, %r13d
|
||||||
|
jc .LBL_1_12
|
||||||
|
|
||||||
|
.LBL_1_7:
|
||||||
|
lea 1(%r14), %esi
|
||||||
|
btl %esi, %r13d
|
||||||
|
jc .LBL_1_10
|
||||||
|
|
||||||
|
.LBL_1_8:
|
||||||
|
addb $1, %r12b
|
||||||
|
addl $2, %r14d
|
||||||
|
cmpb $16, %r12b
|
||||||
|
jb .LBL_1_6
|
||||||
|
|
||||||
|
kmovw 1048(%rsp), %k4
|
||||||
|
movq 1064(%rsp), %rsi
|
||||||
|
kmovw 1040(%rsp), %k5
|
||||||
|
movq 1056(%rsp), %rdi
|
||||||
|
kmovw 1032(%rsp), %k6
|
||||||
|
movq 1096(%rsp), %r12
|
||||||
|
cfi_restore (%r12)
|
||||||
|
movq 1088(%rsp), %r13
|
||||||
|
cfi_restore (%r13)
|
||||||
|
kmovw 1024(%rsp), %k7
|
||||||
|
vmovups 960(%rsp), %zmm16
|
||||||
|
vmovups 896(%rsp), %zmm17
|
||||||
|
vmovups 832(%rsp), %zmm18
|
||||||
|
vmovups 768(%rsp), %zmm19
|
||||||
|
vmovups 704(%rsp), %zmm20
|
||||||
|
vmovups 640(%rsp), %zmm21
|
||||||
|
vmovups 576(%rsp), %zmm22
|
||||||
|
vmovups 512(%rsp), %zmm23
|
||||||
|
vmovups 448(%rsp), %zmm24
|
||||||
|
vmovups 384(%rsp), %zmm25
|
||||||
|
vmovups 320(%rsp), %zmm26
|
||||||
|
vmovups 256(%rsp), %zmm27
|
||||||
|
vmovups 192(%rsp), %zmm28
|
||||||
|
vmovups 128(%rsp), %zmm29
|
||||||
|
vmovups 64(%rsp), %zmm30
|
||||||
|
vmovups (%rsp), %zmm31
|
||||||
|
movq 1080(%rsp), %r14
|
||||||
|
cfi_restore (%r14)
|
||||||
|
movq 1072(%rsp), %r15
|
||||||
|
cfi_restore (%r15)
|
||||||
|
vmovups 1280(%rsp), %zmm1
|
||||||
|
jmp .LBL_1_2
|
||||||
|
|
||||||
|
.LBL_1_10:
|
||||||
|
cfi_restore_state
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 1160(%rsp,%r15), %xmm0
|
||||||
|
vmovsd 1224(%rsp,%r15), %xmm1
|
||||||
|
call pow@PLT
|
||||||
|
vmovsd %xmm0, 1288(%rsp,%r15)
|
||||||
|
jmp .LBL_1_8
|
||||||
|
|
||||||
|
.LBL_1_12:
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 1152(%rsp,%r15), %xmm0
|
||||||
|
vmovsd 1216(%rsp,%r15), %xmm1
|
||||||
|
call pow@PLT
|
||||||
|
vmovsd %xmm0, 1280(%rsp,%r15)
|
||||||
|
jmp .LBL_1_7
|
||||||
|
|
||||||
|
#endif
|
||||||
|
END (_ZGVeN8vv_pow_knl)
|
||||||
|
|
||||||
|
ENTRY (_ZGVeN8vv_pow_skx)
|
||||||
|
#ifndef HAVE_AVX512_ASM_SUPPORT
|
||||||
|
WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_pow
|
||||||
|
#else
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-64, %rsp
|
||||||
|
subq $1344, %rsp
|
||||||
|
vpsrlq $32, %zmm0, %zmm10
|
||||||
|
kxnorw %k1, %k1, %k1
|
||||||
|
kxnorw %k2, %k2, %k2
|
||||||
|
kxnorw %k3, %k3, %k3
|
||||||
|
vpmovqd %zmm10, %ymm7
|
||||||
|
movq __svml_dpow_data@GOTPCREL(%rip), %rax
|
||||||
|
vmovaps %zmm1, %zmm6
|
||||||
|
vpsrlq $32, %zmm6, %zmm13
|
||||||
|
|
||||||
|
/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
|
||||||
|
vpand _iIndexMask(%rax), %ymm7, %ymm15
|
||||||
|
vpaddd _HIDELTA(%rax), %ymm7, %ymm2
|
||||||
|
|
||||||
|
/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
|
||||||
|
vpsubd _i3fe7fe00(%rax), %ymm7, %ymm7
|
||||||
|
vmovdqu _ABSMASK(%rax), %ymm4
|
||||||
|
vmovdqu _LORANGE(%rax), %ymm3
|
||||||
|
|
||||||
|
/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
|
||||||
|
vmovups _dbOne(%rax), %zmm11
|
||||||
|
vmovdqu _INF(%rax), %ymm5
|
||||||
|
vpaddd _iIndexAdd(%rax), %ymm15, %ymm12
|
||||||
|
vpmovqd %zmm13, %ymm14
|
||||||
|
vpternlogq $248, _iMantissaMask(%rax), %zmm0, %zmm11
|
||||||
|
vpsrld $10, %ymm12, %ymm10
|
||||||
|
vpsrad $20, %ymm7, %ymm13
|
||||||
|
|
||||||
|
/* Index for reciprocal table */
|
||||||
|
vpslld $3, %ymm10, %ymm8
|
||||||
|
|
||||||
|
/* Index for log2 table */
|
||||||
|
vpslld $4, %ymm10, %ymm1
|
||||||
|
vpcmpgtd %ymm2, %ymm3, %ymm3
|
||||||
|
vpand %ymm4, %ymm14, %ymm2
|
||||||
|
vpaddd _i2p20_2p19(%rax), %ymm13, %ymm14
|
||||||
|
vpmovzxdq %ymm14, %zmm15
|
||||||
|
vpsllq $32, %zmm15, %zmm7
|
||||||
|
vpternlogq $168, _iffffffff00000000(%rax), %zmm15, %zmm7
|
||||||
|
vsubpd _db2p20_2p19(%rax), %zmm7, %zmm13
|
||||||
|
vpxord %zmm9, %zmm9, %zmm9
|
||||||
|
vgatherdpd 11712(%rax,%ymm8), %zmm9{%k1}
|
||||||
|
|
||||||
|
/* T1 = ((double*)exp2_tbl)[ 2*j ] */
|
||||||
|
kxnorw %k1, %k1, %k1
|
||||||
|
vpxord %zmm12, %zmm12, %zmm12
|
||||||
|
vpxord %zmm8, %zmm8, %zmm8
|
||||||
|
vgatherdpd 19968(%rax,%ymm1), %zmm12{%k2}
|
||||||
|
vgatherdpd 19976(%rax,%ymm1), %zmm8{%k3}
|
||||||
|
vmovups _iHighMask(%rax), %zmm1
|
||||||
|
|
||||||
|
/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
|
||||||
|
vandpd %zmm1, %zmm11, %zmm10
|
||||||
|
vsubpd %zmm10, %zmm11, %zmm15
|
||||||
|
|
||||||
|
/* r1 = x1*rcp1 */
|
||||||
|
vmulpd %zmm9, %zmm11, %zmm11
|
||||||
|
|
||||||
|
/* E = -r1+__fence(x1Hi*rcp1) */
|
||||||
|
vfmsub213pd %zmm11, %zmm9, %zmm10
|
||||||
|
|
||||||
|
/* cq = c+r1 */
|
||||||
|
vaddpd _LHN(%rax), %zmm11, %zmm14
|
||||||
|
|
||||||
|
/* E=E+x1Lo*rcp1 */
|
||||||
|
vfmadd213pd %zmm10, %zmm9, %zmm15
|
||||||
|
|
||||||
|
/* T = k + L1hi */
|
||||||
|
vaddpd %zmm12, %zmm13, %zmm9
|
||||||
|
|
||||||
|
/* T_Rh = T + cq */
|
||||||
|
vaddpd %zmm14, %zmm9, %zmm11
|
||||||
|
|
||||||
|
/* T_Rh_Eh = T_Rh + E */
|
||||||
|
vaddpd %zmm15, %zmm11, %zmm13
|
||||||
|
|
||||||
|
/* Rl = T-T_Rh; -> -Rh */
|
||||||
|
vsubpd %zmm11, %zmm9, %zmm12
|
||||||
|
|
||||||
|
/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
|
||||||
|
vsubpd %zmm13, %zmm11, %zmm9
|
||||||
|
|
||||||
|
/* Rl=Rl+cq */
|
||||||
|
vaddpd %zmm12, %zmm14, %zmm10
|
||||||
|
|
||||||
|
/* HLL+=E; -> El */
|
||||||
|
vaddpd %zmm9, %zmm15, %zmm7
|
||||||
|
|
||||||
|
/* HLL+=Rl */
|
||||||
|
vaddpd %zmm10, %zmm7, %zmm12
|
||||||
|
|
||||||
|
/* 2^(y*(HH+HL+HLL)) starts here:
|
||||||
|
yH = y; Lo(yH)&=0xf8000000
|
||||||
|
*/
|
||||||
|
vandpd %zmm1, %zmm6, %zmm7
|
||||||
|
|
||||||
|
/* HLL+=L1lo */
|
||||||
|
vaddpd %zmm8, %zmm12, %zmm12
|
||||||
|
|
||||||
|
/* cq = cq + E */
|
||||||
|
vaddpd %zmm15, %zmm14, %zmm8
|
||||||
|
vmovups _clv_2(%rax), %zmm14
|
||||||
|
|
||||||
|
/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
|
||||||
|
vfmadd213pd _clv_3(%rax), %zmm8, %zmm14
|
||||||
|
vfmadd213pd _clv_4(%rax), %zmm8, %zmm14
|
||||||
|
vfmadd213pd _clv_5(%rax), %zmm8, %zmm14
|
||||||
|
vfmadd213pd _clv_6(%rax), %zmm8, %zmm14
|
||||||
|
vfmadd213pd _clv_7(%rax), %zmm8, %zmm14
|
||||||
|
vfmadd213pd %zmm12, %zmm8, %zmm14
|
||||||
|
|
||||||
|
/* yL = y-yH */
|
||||||
|
vsubpd %zmm7, %zmm6, %zmm8
|
||||||
|
|
||||||
|
/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
|
||||||
|
vaddpd %zmm14, %zmm13, %zmm15
|
||||||
|
|
||||||
|
/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
|
||||||
|
vandpd %zmm1, %zmm15, %zmm11
|
||||||
|
|
||||||
|
/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
|
||||||
|
vsubpd %zmm13, %zmm15, %zmm13
|
||||||
|
|
||||||
|
/* pH = yH*HH */
|
||||||
|
vmulpd %zmm11, %zmm7, %zmm9
|
||||||
|
|
||||||
|
/* HLL = HLL - HLLhi */
|
||||||
|
vsubpd %zmm13, %zmm14, %zmm12
|
||||||
|
|
||||||
|
/* HL = T_Rh_Eh_HLLhi-HH */
|
||||||
|
vsubpd %zmm11, %zmm15, %zmm10
|
||||||
|
vpsrlq $32, %zmm9, %zmm1
|
||||||
|
vmovdqu _DOMAINRANGE(%rax), %ymm13
|
||||||
|
vpmovqd %zmm1, %ymm1
|
||||||
|
vpand %ymm4, %ymm1, %ymm1
|
||||||
|
vpcmpgtd %ymm5, %ymm2, %ymm4
|
||||||
|
vpcmpeqd %ymm5, %ymm2, %ymm5
|
||||||
|
vpternlogd $254, %ymm5, %ymm4, %ymm3
|
||||||
|
vpcmpgtd %ymm13, %ymm1, %ymm2
|
||||||
|
vpcmpeqd %ymm13, %ymm1, %ymm4
|
||||||
|
vpternlogd $254, %ymm4, %ymm2, %ymm3
|
||||||
|
|
||||||
|
/* pLL = y*HLL */
|
||||||
|
vmovups _db2p45_2p44(%rax), %zmm2
|
||||||
|
|
||||||
|
/* pHH = pH + *(double*)&db2p45_2p44 */
|
||||||
|
vaddpd %zmm2, %zmm9, %zmm1
|
||||||
|
vpmovqd %zmm1, %ymm5
|
||||||
|
|
||||||
|
/* j = Lo(pHH)&0x0000007f */
|
||||||
|
vpand _jIndexMask(%rax), %ymm5, %ymm14
|
||||||
|
vpslld $4, %ymm14, %ymm15
|
||||||
|
vmovmskps %ymm3, %ecx
|
||||||
|
|
||||||
|
/* pL=yL*HL+yH*HL; pL+=yL*HH */
|
||||||
|
vmulpd %zmm10, %zmm8, %zmm3
|
||||||
|
vfmadd213pd %zmm3, %zmm10, %zmm7
|
||||||
|
vfmadd213pd %zmm7, %zmm11, %zmm8
|
||||||
|
|
||||||
|
/* _n = Lo(pHH)
|
||||||
|
_n = _n & 0xffffff80
|
||||||
|
_n = _n >> 7
|
||||||
|
Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
|
||||||
|
*/
|
||||||
|
vpslld $13, %ymm5, %ymm7
|
||||||
|
|
||||||
|
/* t=pL+pLL; t+=pHL */
|
||||||
|
vfmadd231pd %zmm6, %zmm12, %zmm8
|
||||||
|
vpaddd _iOne(%rax), %ymm7, %ymm10
|
||||||
|
vpmovzxdq %ymm10, %zmm11
|
||||||
|
vpsllq $32, %zmm11, %zmm3
|
||||||
|
vpternlogq $168, _ifff0000000000000(%rax), %zmm11, %zmm3
|
||||||
|
|
||||||
|
/* pHH = pHH - *(double*)&db2p45_2p44 */
|
||||||
|
vsubpd %zmm2, %zmm1, %zmm11
|
||||||
|
vmovups _cev_1(%rax), %zmm2
|
||||||
|
|
||||||
|
/* pHL = pH - pHH */
|
||||||
|
vsubpd %zmm11, %zmm9, %zmm9
|
||||||
|
vaddpd %zmm9, %zmm8, %zmm8
|
||||||
|
vfmadd213pd _cev_2(%rax), %zmm8, %zmm2
|
||||||
|
vfmadd213pd _cev_3(%rax), %zmm8, %zmm2
|
||||||
|
vfmadd213pd _cev_4(%rax), %zmm8, %zmm2
|
||||||
|
vfmadd213pd _cev_5(%rax), %zmm8, %zmm2
|
||||||
|
vpxord %zmm4, %zmm4, %zmm4
|
||||||
|
vgatherdpd 36416(%rax,%ymm15), %zmm4{%k1}
|
||||||
|
vmulpd %zmm4, %zmm3, %zmm1
|
||||||
|
vmulpd %zmm8, %zmm1, %zmm12
|
||||||
|
vfmadd213pd %zmm1, %zmm12, %zmm2
|
||||||
|
testl %ecx, %ecx
|
||||||
|
jne .LBL_2_3
|
||||||
|
|
||||||
|
.LBL_2_2:
|
||||||
|
cfi_remember_state
|
||||||
|
vmovaps %zmm2, %zmm0
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
|
||||||
|
.LBL_2_3:
|
||||||
|
cfi_restore_state
|
||||||
|
vmovups %zmm0, 1152(%rsp)
|
||||||
|
vmovups %zmm6, 1216(%rsp)
|
||||||
|
vmovups %zmm2, 1280(%rsp)
|
||||||
|
je .LBL_2_2
|
||||||
|
|
||||||
|
xorb %dl, %dl
|
||||||
|
xorl %eax, %eax
|
||||||
|
kmovw %k4, 1048(%rsp)
|
||||||
|
kmovw %k5, 1040(%rsp)
|
||||||
|
kmovw %k6, 1032(%rsp)
|
||||||
|
kmovw %k7, 1024(%rsp)
|
||||||
|
vmovups %zmm16, 960(%rsp)
|
||||||
|
vmovups %zmm17, 896(%rsp)
|
||||||
|
vmovups %zmm18, 832(%rsp)
|
||||||
|
vmovups %zmm19, 768(%rsp)
|
||||||
|
vmovups %zmm20, 704(%rsp)
|
||||||
|
vmovups %zmm21, 640(%rsp)
|
||||||
|
vmovups %zmm22, 576(%rsp)
|
||||||
|
vmovups %zmm23, 512(%rsp)
|
||||||
|
vmovups %zmm24, 448(%rsp)
|
||||||
|
vmovups %zmm25, 384(%rsp)
|
||||||
|
vmovups %zmm26, 320(%rsp)
|
||||||
|
vmovups %zmm27, 256(%rsp)
|
||||||
|
vmovups %zmm28, 192(%rsp)
|
||||||
|
vmovups %zmm29, 128(%rsp)
|
||||||
|
vmovups %zmm30, 64(%rsp)
|
||||||
|
vmovups %zmm31, (%rsp)
|
||||||
|
movq %rsi, 1064(%rsp)
|
||||||
|
movq %rdi, 1056(%rsp)
|
||||||
|
movq %r12, 1096(%rsp)
|
||||||
|
cfi_offset_rel_rsp (12, 1096)
|
||||||
|
movb %dl, %r12b
|
||||||
|
movq %r13, 1088(%rsp)
|
||||||
|
cfi_offset_rel_rsp (13, 1088)
|
||||||
|
movl %ecx, %r13d
|
||||||
|
movq %r14, 1080(%rsp)
|
||||||
|
cfi_offset_rel_rsp (14, 1080)
|
||||||
|
movl %eax, %r14d
|
||||||
|
movq %r15, 1072(%rsp)
|
||||||
|
cfi_offset_rel_rsp (15, 1072)
|
||||||
|
cfi_remember_state
|
||||||
|
|
||||||
|
.LBL_2_6:
|
||||||
|
btl %r14d, %r13d
|
||||||
|
jc .LBL_2_12
|
||||||
|
|
||||||
|
.LBL_2_7:
|
||||||
|
lea 1(%r14), %esi
|
||||||
|
btl %esi, %r13d
|
||||||
|
jc .LBL_2_10
|
||||||
|
|
||||||
|
.LBL_2_8:
|
||||||
|
incb %r12b
|
||||||
|
addl $2, %r14d
|
||||||
|
cmpb $16, %r12b
|
||||||
|
jb .LBL_2_6
|
||||||
|
|
||||||
|
kmovw 1048(%rsp), %k4
|
||||||
|
kmovw 1040(%rsp), %k5
|
||||||
|
kmovw 1032(%rsp), %k6
|
||||||
|
kmovw 1024(%rsp), %k7
|
||||||
|
vmovups 960(%rsp), %zmm16
|
||||||
|
vmovups 896(%rsp), %zmm17
|
||||||
|
vmovups 832(%rsp), %zmm18
|
||||||
|
vmovups 768(%rsp), %zmm19
|
||||||
|
vmovups 704(%rsp), %zmm20
|
||||||
|
vmovups 640(%rsp), %zmm21
|
||||||
|
vmovups 576(%rsp), %zmm22
|
||||||
|
vmovups 512(%rsp), %zmm23
|
||||||
|
vmovups 448(%rsp), %zmm24
|
||||||
|
vmovups 384(%rsp), %zmm25
|
||||||
|
vmovups 320(%rsp), %zmm26
|
||||||
|
vmovups 256(%rsp), %zmm27
|
||||||
|
vmovups 192(%rsp), %zmm28
|
||||||
|
vmovups 128(%rsp), %zmm29
|
||||||
|
vmovups 64(%rsp), %zmm30
|
||||||
|
vmovups (%rsp), %zmm31
|
||||||
|
vmovups 1280(%rsp), %zmm2
|
||||||
|
movq 1064(%rsp), %rsi
|
||||||
|
movq 1056(%rsp), %rdi
|
||||||
|
movq 1096(%rsp), %r12
|
||||||
|
cfi_restore (%r12)
|
||||||
|
movq 1088(%rsp), %r13
|
||||||
|
cfi_restore (%r13)
|
||||||
|
movq 1080(%rsp), %r14
|
||||||
|
cfi_restore (%r14)
|
||||||
|
movq 1072(%rsp), %r15
|
||||||
|
cfi_restore (%r15)
|
||||||
|
jmp .LBL_2_2
|
||||||
|
|
||||||
|
.LBL_2_10:
|
||||||
|
cfi_restore_state
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 1224(%rsp,%r15), %xmm1
|
||||||
|
vzeroupper
|
||||||
|
vmovsd 1160(%rsp,%r15), %xmm0
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
vmovsd %xmm0, 1288(%rsp,%r15)
|
||||||
|
jmp .LBL_2_8
|
||||||
|
|
||||||
|
.LBL_2_12:
|
||||||
|
movzbl %r12b, %r15d
|
||||||
|
shlq $4, %r15
|
||||||
|
vmovsd 1216(%rsp,%r15), %xmm1
|
||||||
|
vzeroupper
|
||||||
|
vmovsd 1152(%rsp,%r15), %xmm0
|
||||||
|
|
||||||
|
call pow@PLT
|
||||||
|
|
||||||
|
vmovsd %xmm0, 1280(%rsp,%r15)
|
||||||
|
jmp .LBL_2_7
|
||||||
|
|
||||||
|
#endif
|
||||||
|
END (_ZGVeN8vv_pow_skx)
|
29
sysdeps/x86_64/fpu/svml_d_pow2_core.S
Normal file
29
sysdeps/x86_64/fpu/svml_d_pow2_core.S
Normal file
@ -0,0 +1,29 @@
|
|||||||
|
/* Function pow vectorized with SSE2.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_wrapper_impl.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVbN2vv_pow)
|
||||||
|
WRAPPER_IMPL_SSE2_ff pow
|
||||||
|
END (_ZGVbN2vv_pow)
|
||||||
|
|
||||||
|
#ifndef USE_MULTIARCH
|
||||||
|
libmvec_hidden_def (_ZGVbN2vv_pow)
|
||||||
|
#endif
|
29
sysdeps/x86_64/fpu/svml_d_pow4_core.S
Normal file
29
sysdeps/x86_64/fpu/svml_d_pow4_core.S
Normal file
@ -0,0 +1,29 @@
|
|||||||
|
/* Function pow vectorized with AVX2, wrapper version.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_wrapper_impl.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVdN4vv_pow)
|
||||||
|
WRAPPER_IMPL_AVX_ff _ZGVbN2vv_pow
|
||||||
|
END (_ZGVdN4vv_pow)
|
||||||
|
|
||||||
|
#ifndef USE_MULTIARCH
|
||||||
|
libmvec_hidden_def (_ZGVdN4vv_pow)
|
||||||
|
#endif
|
25
sysdeps/x86_64/fpu/svml_d_pow4_core_avx.S
Normal file
25
sysdeps/x86_64/fpu/svml_d_pow4_core_avx.S
Normal file
@ -0,0 +1,25 @@
|
|||||||
|
/* Function pow vectorized in AVX ISA as wrapper to SSE4 ISA version.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_wrapper_impl.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVcN4vv_pow)
|
||||||
|
WRAPPER_IMPL_AVX_ff _ZGVbN2vv_pow
|
||||||
|
END (_ZGVcN4vv_pow)
|
25
sysdeps/x86_64/fpu/svml_d_pow8_core.S
Normal file
25
sysdeps/x86_64/fpu/svml_d_pow8_core.S
Normal file
@ -0,0 +1,25 @@
|
|||||||
|
/* Function pow vectorized with AVX-512. Wrapper to AVX2 version.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#include <sysdep.h>
|
||||||
|
#include "svml_d_wrapper_impl.h"
|
||||||
|
|
||||||
|
.text
|
||||||
|
ENTRY (_ZGVeN8vv_pow)
|
||||||
|
WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_pow
|
||||||
|
END (_ZGVeN8vv_pow)
|
4863
sysdeps/x86_64/fpu/svml_d_pow_data.S
Normal file
4863
sysdeps/x86_64/fpu/svml_d_pow_data.S
Normal file
File diff suppressed because it is too large
Load Diff
104
sysdeps/x86_64/fpu/svml_d_pow_data.h
Normal file
104
sysdeps/x86_64/fpu/svml_d_pow_data.h
Normal file
@ -0,0 +1,104 @@
|
|||||||
|
/* Offsets for data table for function pow.
|
||||||
|
Copyright (C) 2014-2015 Free Software Foundation, Inc.
|
||||||
|
This file is part of the GNU C Library.
|
||||||
|
|
||||||
|
The GNU C Library is free software; you can redistribute it and/or
|
||||||
|
modify it under the terms of the GNU Lesser General Public
|
||||||
|
License as published by the Free Software Foundation; either
|
||||||
|
version 2.1 of the License, or (at your option) any later version.
|
||||||
|
|
||||||
|
The GNU C Library is distributed in the hope that it will be useful,
|
||||||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||||
|
Lesser General Public License for more details.
|
||||||
|
|
||||||
|
You should have received a copy of the GNU Lesser General Public
|
||||||
|
License along with the GNU C Library; if not, see
|
||||||
|
<http://www.gnu.org/licenses/>. */
|
||||||
|
|
||||||
|
#ifndef D_POW_DATA_H
|
||||||
|
#define D_POW_DATA_H
|
||||||
|
|
||||||
|
#define _hsw_log2_table 0
|
||||||
|
#define _hsw_dTe 8256
|
||||||
|
#define _hsw_dMantMask 10304
|
||||||
|
#define _hsw_dOne 10368
|
||||||
|
#define _hsw_dCvtMask 10432
|
||||||
|
#define _hsw_dMinNorm 10496
|
||||||
|
#define _hsw_dMaxNorm 10560
|
||||||
|
#define _hsw_lRndBit 10624
|
||||||
|
#define _hsw_lRndMask 10688
|
||||||
|
#define _hsw_dc6 10752
|
||||||
|
#define _hsw_dc5 10816
|
||||||
|
#define _hsw_dc4 10880
|
||||||
|
#define _hsw_dc3 10944
|
||||||
|
#define _hsw_dc1 11008
|
||||||
|
#define _hsw_dc1h 11072
|
||||||
|
#define _hsw_dc2 11136
|
||||||
|
#define _hsw_dAbsMask 11200
|
||||||
|
#define _hsw_dDomainRange 11264
|
||||||
|
#define _hsw_dShifter 11328
|
||||||
|
#define _hsw_dIndexMask 11392
|
||||||
|
#define _hsw_dce4 11456
|
||||||
|
#define _hsw_dce3 11520
|
||||||
|
#define _hsw_dce2 11584
|
||||||
|
#define _hsw_dce1 11648
|
||||||
|
#define _rcp_t1 11712
|
||||||
|
#define _log2_t1 19968
|
||||||
|
#define _exp2_tbl 36416
|
||||||
|
#define _clv_1 38464
|
||||||
|
#define _clv_2 38528
|
||||||
|
#define _clv_3 38592
|
||||||
|
#define _clv_4 38656
|
||||||
|
#define _clv_5 38720
|
||||||
|
#define _clv_6 38784
|
||||||
|
#define _clv_7 38848
|
||||||
|
#define _cev_1 38912
|
||||||
|
#define _cev_2 38976
|
||||||
|
#define _cev_3 39040
|
||||||
|
#define _cev_4 39104
|
||||||
|
#define _cev_5 39168
|
||||||
|
#define _iMantissaMask 39232
|
||||||
|
#define _i3fe7fe0000000000 39296
|
||||||
|
#define _dbOne 39360
|
||||||
|
#define _iffffffff00000000 39424
|
||||||
|
#define _db2p20_2p19 39488
|
||||||
|
#define _iHighMask 39552
|
||||||
|
#define _LHN 39616
|
||||||
|
#define _ifff0000000000000 39680
|
||||||
|
#define _db2p45_2p44 39744
|
||||||
|
#define _NEG_INF 39808
|
||||||
|
#define _NEG_ZERO 39872
|
||||||
|
#define _d2pow52 39936
|
||||||
|
#define _d1div2pow111 40000
|
||||||
|
#define _HIDELTA 40064
|
||||||
|
#define _LORANGE 40128
|
||||||
|
#define _ABSMASK 40192
|
||||||
|
#define _INF 40256
|
||||||
|
#define _DOMAINRANGE 40320
|
||||||
|
#define _iIndexMask 40384
|
||||||
|
#define _iIndexAdd 40448
|
||||||
|
#define _i3fe7fe00 40512
|
||||||
|
#define _i2p20_2p19 40576
|
||||||
|
#define _iOne 40640
|
||||||
|
#define _jIndexMask 40704
|
||||||
|
|
||||||
|
.macro double_vector offset value
|
||||||
|
.if .-__svml_dpow_data != \offset
|
||||||
|
.err
|
||||||
|
.endif
|
||||||
|
.rept 8
|
||||||
|
.quad \value
|
||||||
|
.endr
|
||||||
|
.endm
|
||||||
|
|
||||||
|
.macro float_vector offset value
|
||||||
|
.if .-__svml_dpow_data != \offset
|
||||||
|
.err
|
||||||
|
.endif
|
||||||
|
.rept 16
|
||||||
|
.long \value
|
||||||
|
.endr
|
||||||
|
.endm
|
||||||
|
|
||||||
|
#endif
|
@ -34,6 +34,26 @@
|
|||||||
ret
|
ret
|
||||||
.endm
|
.endm
|
||||||
|
|
||||||
|
/* 2 argument SSE2 ISA version as wrapper to scalar. */
|
||||||
|
.macro WRAPPER_IMPL_SSE2_ff callee
|
||||||
|
subq $56, %rsp
|
||||||
|
cfi_adjust_cfa_offset(56)
|
||||||
|
movaps %xmm0, (%rsp)
|
||||||
|
movaps %xmm1, 16(%rsp)
|
||||||
|
call \callee@PLT
|
||||||
|
movsd %xmm0, 32(%rsp)
|
||||||
|
movsd 8(%rsp), %xmm0
|
||||||
|
movsd 24(%rsp), %xmm1
|
||||||
|
call \callee@PLT
|
||||||
|
movsd 32(%rsp), %xmm1
|
||||||
|
movsd %xmm0, 40(%rsp)
|
||||||
|
unpcklpd %xmm0, %xmm1
|
||||||
|
movaps %xmm1, %xmm0
|
||||||
|
addq $56, %rsp
|
||||||
|
cfi_adjust_cfa_offset(-56)
|
||||||
|
ret
|
||||||
|
.endm
|
||||||
|
|
||||||
/* AVX/AVX2 ISA version as wrapper to SSE ISA version. */
|
/* AVX/AVX2 ISA version as wrapper to SSE ISA version. */
|
||||||
.macro WRAPPER_IMPL_AVX callee
|
.macro WRAPPER_IMPL_AVX callee
|
||||||
pushq %rbp
|
pushq %rbp
|
||||||
@ -60,6 +80,34 @@
|
|||||||
ret
|
ret
|
||||||
.endm
|
.endm
|
||||||
|
|
||||||
|
/* 2 argument AVX/AVX2 ISA version as wrapper to SSE ISA version. */
|
||||||
|
.macro WRAPPER_IMPL_AVX_ff callee
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-32, %rsp
|
||||||
|
subq $64, %rsp
|
||||||
|
vextractf128 $1, %ymm0, 16(%rsp)
|
||||||
|
vextractf128 $1, %ymm1, (%rsp)
|
||||||
|
vzeroupper
|
||||||
|
call HIDDEN_JUMPTARGET(\callee)
|
||||||
|
vmovaps %xmm0, 32(%rsp)
|
||||||
|
vmovaps 16(%rsp), %xmm0
|
||||||
|
vmovaps (%rsp), %xmm1
|
||||||
|
call HIDDEN_JUMPTARGET(\callee)
|
||||||
|
vmovaps %xmm0, %xmm1
|
||||||
|
vmovaps 32(%rsp), %xmm0
|
||||||
|
vinsertf128 $1, %xmm1, %ymm0, %ymm0
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
.endm
|
||||||
|
|
||||||
/* AVX512 ISA version as wrapper to AVX2 ISA version. */
|
/* AVX512 ISA version as wrapper to AVX2 ISA version. */
|
||||||
.macro WRAPPER_IMPL_AVX512 callee
|
.macro WRAPPER_IMPL_AVX512 callee
|
||||||
pushq %rbp
|
pushq %rbp
|
||||||
@ -99,3 +147,65 @@
|
|||||||
cfi_restore (%rbp)
|
cfi_restore (%rbp)
|
||||||
ret
|
ret
|
||||||
.endm
|
.endm
|
||||||
|
|
||||||
|
/* 2 argument AVX512 ISA version as wrapper to AVX2 ISA version. */
|
||||||
|
.macro WRAPPER_IMPL_AVX512_ff callee
|
||||||
|
pushq %rbp
|
||||||
|
cfi_adjust_cfa_offset (8)
|
||||||
|
cfi_rel_offset (%rbp, 0)
|
||||||
|
movq %rsp, %rbp
|
||||||
|
cfi_def_cfa_register (%rbp)
|
||||||
|
andq $-64, %rsp
|
||||||
|
subq $128, %rsp
|
||||||
|
/* Below is encoding for vmovaps %zmm0, (%rsp). */
|
||||||
|
.byte 0x62
|
||||||
|
.byte 0xf1
|
||||||
|
.byte 0x7c
|
||||||
|
.byte 0x48
|
||||||
|
.byte 0x29
|
||||||
|
.byte 0x04
|
||||||
|
.byte 0x24
|
||||||
|
/* Below is encoding for vmovaps %zmm1, 64(%rsp). */
|
||||||
|
.byte 0x62
|
||||||
|
.byte 0xf1
|
||||||
|
.byte 0x7c
|
||||||
|
.byte 0x48
|
||||||
|
.byte 0x29
|
||||||
|
.byte 0x4c
|
||||||
|
.byte 0x24
|
||||||
|
/* Below is encoding for vmovapd (%rsp), %ymm0. */
|
||||||
|
.byte 0xc5
|
||||||
|
.byte 0xfd
|
||||||
|
.byte 0x28
|
||||||
|
.byte 0x04
|
||||||
|
.byte 0x24
|
||||||
|
/* Below is encoding for vmovapd 64(%rsp), %ymm1. */
|
||||||
|
.byte 0xc5
|
||||||
|
.byte 0xfd
|
||||||
|
.byte 0x28
|
||||||
|
.byte 0x4c
|
||||||
|
.byte 0x24
|
||||||
|
.byte 0x40
|
||||||
|
call HIDDEN_JUMPTARGET(\callee)
|
||||||
|
/* Below is encoding for vmovapd 32(%rsp), %ymm0. */
|
||||||
|
.byte 0xc5
|
||||||
|
.byte 0xfd
|
||||||
|
.byte 0x28
|
||||||
|
.byte 0x44
|
||||||
|
.byte 0x24
|
||||||
|
.byte 0x20
|
||||||
|
/* Below is encoding for vmovapd 96(%rsp), %ymm1. */
|
||||||
|
.byte 0xc5
|
||||||
|
.byte 0xfd
|
||||||
|
.byte 0x28
|
||||||
|
.byte 0x4c
|
||||||
|
.byte 0x24
|
||||||
|
.byte 0x60
|
||||||
|
call HIDDEN_JUMPTARGET(\callee)
|
||||||
|
movq %rbp, %rsp
|
||||||
|
cfi_def_cfa_register (%rsp)
|
||||||
|
popq %rbp
|
||||||
|
cfi_adjust_cfa_offset (-8)
|
||||||
|
cfi_restore (%rbp)
|
||||||
|
ret
|
||||||
|
.endm
|
||||||
|
@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cos), _ZGVbN2v_cos)
|
|||||||
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVbN2v_sin)
|
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVbN2v_sin)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVbN2v_log)
|
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVbN2v_log)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVbN2v_exp)
|
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVbN2v_exp)
|
||||||
|
VECTOR_WRAPPER_ff (WRAPPER_NAME (pow), _ZGVbN2vv_pow)
|
||||||
|
@ -22,5 +22,6 @@
|
|||||||
#define TEST_VECTOR_sin 1
|
#define TEST_VECTOR_sin 1
|
||||||
#define TEST_VECTOR_log 1
|
#define TEST_VECTOR_log 1
|
||||||
#define TEST_VECTOR_exp 1
|
#define TEST_VECTOR_exp 1
|
||||||
|
#define TEST_VECTOR_pow 1
|
||||||
|
|
||||||
#include "libm-test.c"
|
#include "libm-test.c"
|
||||||
|
@ -29,3 +29,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cos), _ZGVdN4v_cos)
|
|||||||
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVdN4v_sin)
|
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVdN4v_sin)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVdN4v_log)
|
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVdN4v_log)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVdN4v_exp)
|
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVdN4v_exp)
|
||||||
|
VECTOR_WRAPPER_ff (WRAPPER_NAME (pow), _ZGVdN4vv_pow)
|
||||||
|
@ -25,6 +25,7 @@
|
|||||||
#define TEST_VECTOR_sin 1
|
#define TEST_VECTOR_sin 1
|
||||||
#define TEST_VECTOR_log 1
|
#define TEST_VECTOR_log 1
|
||||||
#define TEST_VECTOR_exp 1
|
#define TEST_VECTOR_exp 1
|
||||||
|
#define TEST_VECTOR_pow 1
|
||||||
|
|
||||||
#define REQUIRE_AVX2
|
#define REQUIRE_AVX2
|
||||||
|
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||||||
|
@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cos), _ZGVcN4v_cos)
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|||||||
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVcN4v_sin)
|
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVcN4v_sin)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVcN4v_log)
|
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVcN4v_log)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVcN4v_exp)
|
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVcN4v_exp)
|
||||||
|
VECTOR_WRAPPER_ff (WRAPPER_NAME (pow), _ZGVcN4vv_pow)
|
||||||
|
@ -22,5 +22,6 @@
|
|||||||
#define TEST_VECTOR_sin 1
|
#define TEST_VECTOR_sin 1
|
||||||
#define TEST_VECTOR_log 1
|
#define TEST_VECTOR_log 1
|
||||||
#define TEST_VECTOR_exp 1
|
#define TEST_VECTOR_exp 1
|
||||||
|
#define TEST_VECTOR_pow 1
|
||||||
|
|
||||||
#include "libm-test.c"
|
#include "libm-test.c"
|
||||||
|
@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cos), _ZGVeN8v_cos)
|
|||||||
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVeN8v_sin)
|
VECTOR_WRAPPER (WRAPPER_NAME (sin), _ZGVeN8v_sin)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVeN8v_log)
|
VECTOR_WRAPPER (WRAPPER_NAME (log), _ZGVeN8v_log)
|
||||||
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVeN8v_exp)
|
VECTOR_WRAPPER (WRAPPER_NAME (exp), _ZGVeN8v_exp)
|
||||||
|
VECTOR_WRAPPER_ff (WRAPPER_NAME (pow), _ZGVeN8vv_pow)
|
||||||
|
@ -22,6 +22,7 @@
|
|||||||
#define TEST_VECTOR_sin 1
|
#define TEST_VECTOR_sin 1
|
||||||
#define TEST_VECTOR_log 1
|
#define TEST_VECTOR_log 1
|
||||||
#define TEST_VECTOR_exp 1
|
#define TEST_VECTOR_exp 1
|
||||||
|
#define TEST_VECTOR_pow 1
|
||||||
|
|
||||||
#define REQUIRE_AVX512F
|
#define REQUIRE_AVX512F
|
||||||
|
|
||||||
|
Loading…
Reference in New Issue
Block a user