diff options
50 files changed, 5044 insertions, 1 deletions
diff --git a/bits/libm-simd-decl-stubs.h b/bits/libm-simd-decl-stubs.h index b17bf78..33d4800 100644 --- a/bits/libm-simd-decl-stubs.h +++ b/bits/libm-simd-decl-stubs.h @@ -274,4 +274,15 @@ #define __DECL_SIMD_acoshf32x #define __DECL_SIMD_acoshf64x #define __DECL_SIMD_acoshf128x + +#define __DECL_SIMD_erf +#define __DECL_SIMD_erff +#define __DECL_SIMD_erfl +#define __DECL_SIMD_erff16 +#define __DECL_SIMD_erff32 +#define __DECL_SIMD_erff64 +#define __DECL_SIMD_erff128 +#define __DECL_SIMD_erff32x +#define __DECL_SIMD_erff64x +#define __DECL_SIMD_erff128x #endif diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h index bc37973..a5b6c44 100644 --- a/math/bits/mathcalls.h +++ b/math/bits/mathcalls.h @@ -228,7 +228,7 @@ __MATHCALL (yn,, (int, _Mdouble_)); #if defined __USE_XOPEN || defined __USE_ISOC99 /* Error and gamma functions. */ -__MATHCALL (erf,, (_Mdouble_)); +__MATHCALL_VEC (erf,, (_Mdouble_)); __MATHCALL (erfc,, (_Mdouble_)); __MATHCALL (lgamma,, (_Mdouble_)); #endif diff --git a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist index e9d6ade..5525c8a 100644 --- a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist +++ b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist @@ -53,6 +53,7 @@ GLIBC_2.35 _ZGVbN2v_atan F GLIBC_2.35 _ZGVbN2v_atanh F GLIBC_2.35 _ZGVbN2v_cbrt F GLIBC_2.35 _ZGVbN2v_cosh F +GLIBC_2.35 _ZGVbN2v_erf F GLIBC_2.35 _ZGVbN2v_exp10 F GLIBC_2.35 _ZGVbN2v_exp2 F GLIBC_2.35 _ZGVbN2v_expm1 F @@ -69,6 +70,7 @@ GLIBC_2.35 _ZGVbN4v_atanf F GLIBC_2.35 _ZGVbN4v_atanhf F GLIBC_2.35 _ZGVbN4v_cbrtf F GLIBC_2.35 _ZGVbN4v_coshf F +GLIBC_2.35 _ZGVbN4v_erff F GLIBC_2.35 _ZGVbN4v_exp10f F GLIBC_2.35 _ZGVbN4v_exp2f F GLIBC_2.35 _ZGVbN4v_expm1f F @@ -85,6 +87,7 @@ GLIBC_2.35 _ZGVcN4v_atan F GLIBC_2.35 _ZGVcN4v_atanh F GLIBC_2.35 _ZGVcN4v_cbrt F GLIBC_2.35 _ZGVcN4v_cosh F +GLIBC_2.35 _ZGVcN4v_erf F GLIBC_2.35 _ZGVcN4v_exp10 F GLIBC_2.35 _ZGVcN4v_exp2 F GLIBC_2.35 _ZGVcN4v_expm1 F @@ -101,6 +104,7 @@ GLIBC_2.35 _ZGVcN8v_atanf F GLIBC_2.35 _ZGVcN8v_atanhf F GLIBC_2.35 _ZGVcN8v_cbrtf F GLIBC_2.35 _ZGVcN8v_coshf F +GLIBC_2.35 _ZGVcN8v_erff F GLIBC_2.35 _ZGVcN8v_exp10f F GLIBC_2.35 _ZGVcN8v_exp2f F GLIBC_2.35 _ZGVcN8v_expm1f F @@ -117,6 +121,7 @@ GLIBC_2.35 _ZGVdN4v_atan F GLIBC_2.35 _ZGVdN4v_atanh F GLIBC_2.35 _ZGVdN4v_cbrt F GLIBC_2.35 _ZGVdN4v_cosh F +GLIBC_2.35 _ZGVdN4v_erf F GLIBC_2.35 _ZGVdN4v_exp10 F GLIBC_2.35 _ZGVdN4v_exp2 F GLIBC_2.35 _ZGVdN4v_expm1 F @@ -133,6 +138,7 @@ GLIBC_2.35 _ZGVdN8v_atanf F GLIBC_2.35 _ZGVdN8v_atanhf F GLIBC_2.35 _ZGVdN8v_cbrtf F GLIBC_2.35 _ZGVdN8v_coshf F +GLIBC_2.35 _ZGVdN8v_erff F GLIBC_2.35 _ZGVdN8v_exp10f F GLIBC_2.35 _ZGVdN8v_exp2f F GLIBC_2.35 _ZGVdN8v_expm1f F @@ -149,6 +155,7 @@ GLIBC_2.35 _ZGVeN16v_atanf F GLIBC_2.35 _ZGVeN16v_atanhf F GLIBC_2.35 _ZGVeN16v_cbrtf F GLIBC_2.35 _ZGVeN16v_coshf F +GLIBC_2.35 _ZGVeN16v_erff F GLIBC_2.35 _ZGVeN16v_exp10f F GLIBC_2.35 _ZGVeN16v_exp2f F GLIBC_2.35 _ZGVeN16v_expm1f F @@ -165,6 +172,7 @@ GLIBC_2.35 _ZGVeN8v_atan F GLIBC_2.35 _ZGVeN8v_atanh F GLIBC_2.35 _ZGVeN8v_cbrt F GLIBC_2.35 _ZGVeN8v_cosh F +GLIBC_2.35 _ZGVeN8v_erf F GLIBC_2.35 _ZGVeN8v_exp10 F GLIBC_2.35 _ZGVeN8v_exp2 F GLIBC_2.35 _ZGVeN8v_expm1 F diff --git a/sysdeps/x86/fpu/bits/math-vector.h b/sysdeps/x86/fpu/bits/math-vector.h index 4ad12a3..ea0deb3 100644 --- a/sysdeps/x86/fpu/bits/math-vector.h +++ b/sysdeps/x86/fpu/bits/math-vector.h @@ -122,6 +122,10 @@ # define __DECL_SIMD_acosh __DECL_SIMD_x86_64 # undef __DECL_SIMD_acoshf # define __DECL_SIMD_acoshf __DECL_SIMD_x86_64 +# undef __DECL_SIMD_erf +# define __DECL_SIMD_erf __DECL_SIMD_x86_64 +# undef __DECL_SIMD_erff +# define __DECL_SIMD_erff __DECL_SIMD_x86_64 # endif #endif diff --git a/sysdeps/x86/fpu/finclude/math-vector-fortran.h b/sysdeps/x86/fpu/finclude/math-vector-fortran.h index 503547d..42addd9 100644 --- a/sysdeps/x86/fpu/finclude/math-vector-fortran.h +++ b/sysdeps/x86/fpu/finclude/math-vector-fortran.h @@ -60,6 +60,8 @@ !GCC$ builtin (atanhf) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (acosh) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (acoshf) attributes simd (notinbranch) if('x86_64') +!GCC$ builtin (erf) attributes simd (notinbranch) if('x86_64') +!GCC$ builtin (erff) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (cos) attributes simd (notinbranch) if('x32') !GCC$ builtin (cosf) attributes simd (notinbranch) if('x32') @@ -105,3 +107,5 @@ !GCC$ builtin (atanhf) attributes simd (notinbranch) if('x32') !GCC$ builtin (acosh) attributes simd (notinbranch) if('x32') !GCC$ builtin (acoshf) attributes simd (notinbranch) if('x32') +!GCC$ builtin (erf) attributes simd (notinbranch) if('x32') +!GCC$ builtin (erff) attributes simd (notinbranch) if('x32') diff --git a/sysdeps/x86_64/fpu/Makeconfig b/sysdeps/x86_64/fpu/Makeconfig index 7b90b3d..2b89a1b 100644 --- a/sysdeps/x86_64/fpu/Makeconfig +++ b/sysdeps/x86_64/fpu/Makeconfig @@ -31,6 +31,7 @@ libmvec-funcs = \ cbrt \ cos \ cosh \ + erf \ exp \ exp10 \ exp2 \ diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions index fd5e592..2fcdef6 100644 --- a/sysdeps/x86_64/fpu/Versions +++ b/sysdeps/x86_64/fpu/Versions @@ -21,6 +21,7 @@ libmvec { _ZGVbN2v_atanh; _ZGVcN4v_atanh; _ZGVdN4v_atanh; _ZGVeN8v_atanh; _ZGVbN2v_cbrt; _ZGVcN4v_cbrt; _ZGVdN4v_cbrt; _ZGVeN8v_cbrt; _ZGVbN2v_cosh; _ZGVcN4v_cosh; _ZGVdN4v_cosh; _ZGVeN8v_cosh; + _ZGVbN2v_erf; _ZGVcN4v_erf; _ZGVdN4v_erf; _ZGVeN8v_erf; _ZGVbN2v_exp10; _ZGVcN4v_exp10; _ZGVdN4v_exp10; _ZGVeN8v_exp10; _ZGVbN2v_exp2; _ZGVcN4v_exp2; _ZGVdN4v_exp2; _ZGVeN8v_exp2; _ZGVbN2v_expm1; _ZGVcN4v_expm1; _ZGVdN4v_expm1; _ZGVeN8v_expm1; @@ -37,6 +38,7 @@ libmvec { _ZGVbN4v_atanhf; _ZGVcN8v_atanhf; _ZGVdN8v_atanhf; _ZGVeN16v_atanhf; _ZGVbN4v_cbrtf; _ZGVcN8v_cbrtf; _ZGVdN8v_cbrtf; _ZGVeN16v_cbrtf; _ZGVbN4v_coshf; _ZGVcN8v_coshf; _ZGVdN8v_coshf; _ZGVeN16v_coshf; + _ZGVbN4v_erff; _ZGVcN8v_erff; _ZGVdN8v_erff; _ZGVeN16v_erff; _ZGVbN4v_exp10f; _ZGVcN8v_exp10f; _ZGVdN8v_exp10f; _ZGVeN16v_exp10f; _ZGVbN4v_exp2f; _ZGVcN8v_exp2f; _ZGVdN8v_exp2f; _ZGVeN16v_exp2f; _ZGVbN4v_expm1f; _ZGVcN8v_expm1f; _ZGVdN8v_expm1f; _ZGVeN16v_expm1f; diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index b2aa8fc..929de0e 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -1298,6 +1298,26 @@ float: 1 float128: 2 ldouble: 1 +Function: "erf_vlen16": +float: 1 + +Function: "erf_vlen2": +double: 1 + +Function: "erf_vlen4": +double: 1 +float: 2 + +Function: "erf_vlen4_avx2": +double: 1 + +Function: "erf_vlen8": +double: 1 +float: 2 + +Function: "erf_vlen8_avx2": +float: 2 + Function: "erfc": double: 5 float: 3 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core-sse2.S new file mode 100644 index 0000000..2b5735e --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized erf, vector length is 2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVbN2v_erf _ZGVbN2v_erf_sse2 +#include "../svml_d_erf2_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core.c new file mode 100644 index 0000000..74757be --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized erf, vector length is 2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVbN2v_erf +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN2v_erf, __GI__ZGVbN2v_erf, __redirect__ZGVbN2v_erf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core_sse4.S new file mode 100644 index 0000000..c164748 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf2_core_sse4.S @@ -0,0 +1,987 @@ +/* Function erf vectorized with SSE4. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * Basic formula is + * erf(x) ~ erf(x0) + + * + exp(-x0*x0)*D*(1+c0+T*P1(T)+D^2*P3(T)+D^4*P5(T)+D^6*p7+D^8*p9) + * where D=x-x0, T=x0*D + * x0 is x rounded to a specified number of fractional bits (in this case 7), + * except that x0=0 for |x|<3.5/128.0 (using x0=0 for first 4 table entries) + * + * Data table packs both erf(x0)_high and a few bits of erf(x0)_low in one + * entry (in place of redundant exponent bits) + * + */ + +/* Offsets for data table __svml_derf_data_internal + */ +#define _erf_tbl 0 +#define _AbsMask 12288 +#define _MaxThreshold 12304 +#define _SRound 12320 +#define _U2Threshold 12336 +#define _poly1_0 12352 +#define _poly1_1 12368 +#define _poly3_0 12384 +#define _poly3_1 12400 +#define _poly5_0 12416 +#define _poly5_1 12432 +#define _poly1_2 12448 +#define _poly3_2 12464 +#define _poly1_3 12480 +#define _poly3_3 12496 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN2v_erf_sse4) +/* + * vector gather: erf(x0), + * second value is exp(-x0*x0) + */ + lea __svml_derf_data_internal(%rip), %rcx + movups _AbsMask+__svml_derf_data_internal(%rip), %xmm5 + andps %xmm0, %xmm5 + +/* + * erf(x) rounds to 1.0 for x>_MaxThreshold (5.9921875) + * can compute all results in the main path + */ + movaps %xmm5, %xmm9 + +/* save sign */ + pxor %xmm5, %xmm0 + minpd _MaxThreshold+__svml_derf_data_internal(%rip), %xmm9 + movups _SRound+__svml_derf_data_internal(%rip), %xmm1 + movaps %xmm1, %xmm2 + addpd %xmm9, %xmm2 + movaps %xmm2, %xmm8 + psllq $4, %xmm2 + subpd %xmm1, %xmm8 + movd %xmm2, %eax + movups _U2Threshold+__svml_derf_data_internal(%rip), %xmm11 + cmpltpd %xmm9, %xmm11 + subpd %xmm8, %xmm9 + mulpd %xmm9, %xmm8 + +/* + * _LA_ polynomial computation + * Start polynomial evaluation + */ + movups _poly1_0+__svml_derf_data_internal(%rip), %xmm7 + andps %xmm9, %xmm11 + mulpd %xmm8, %xmm7 + +/* D2 = Diff^2 */ + mulpd %xmm11, %xmm11 + addpd _poly1_1+__svml_derf_data_internal(%rip), %xmm7 + +/* NaN fixup */ + minpd %xmm5, %xmm9 + mulpd %xmm8, %xmm7 + movups _poly3_0+__svml_derf_data_internal(%rip), %xmm6 + +/* T^2 */ + movaps %xmm8, %xmm12 + mulpd %xmm8, %xmm6 + addpd _poly1_2+__svml_derf_data_internal(%rip), %xmm7 + addpd _poly3_1+__svml_derf_data_internal(%rip), %xmm6 + mulpd %xmm8, %xmm12 + mulpd %xmm8, %xmm6 + mulpd %xmm8, %xmm7 + addpd _poly3_2+__svml_derf_data_internal(%rip), %xmm6 + addpd _poly1_3+__svml_derf_data_internal(%rip), %xmm7 + mulpd %xmm8, %xmm6 + +/* P1 = T^2*P1 - T */ + mulpd %xmm7, %xmm12 + movups _poly5_0+__svml_derf_data_internal(%rip), %xmm10 + +/* Sign | Diff */ + pxor %xmm0, %xmm9 + mulpd %xmm8, %xmm10 + subpd %xmm8, %xmm12 + addpd _poly5_1+__svml_derf_data_internal(%rip), %xmm10 + mulpd %xmm11, %xmm10 + addpd _poly3_3+__svml_derf_data_internal(%rip), %xmm10 + addpd %xmm6, %xmm10 + pshufd $2, %xmm2, %xmm3 + movd %xmm3, %edx + +/* P1 + P3*D2 */ + mulpd %xmm10, %xmm11 + movslq %eax, %rax + movslq %edx, %rdx + addpd %xmm11, %xmm12 + movups (%rcx,%rax), %xmm13 + movups (%rcx,%rdx), %xmm4 + movaps %xmm13, %xmm14 + unpckhpd %xmm4, %xmm13 + +/* exp_h(x0) * Diff */ + mulpd %xmm9, %xmm13 + +/* + * branch-free + * low part of result: exp_h(x0) * Diff*(1+P1) + */ + mulpd %xmm13, %xmm12 + addpd %xmm12, %xmm13 + unpcklpd %xmm4, %xmm14 + +/* Sign | _Erf_H */ + pxor %xmm0, %xmm14 + +/* Final result */ + addpd %xmm13, %xmm14 + +/* Fix erf(-0) = -0 */ + orps %xmm14, %xmm0 + ret + +END(_ZGVbN2v_erf_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_derf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _erf_tbl[6*128*2][2]; + __declspec(align(16)) VUINT32 _AbsMask[2][2]; + __declspec(align(16)) VUINT32 _MaxThreshold[2][2]; + __declspec(align(16)) VUINT32 _SRound[2][2]; + __declspec(align(16)) VUINT32 _U2Threshold[2][2]; + __declspec(align(16)) VUINT32 _poly1_0[2][2]; + __declspec(align(16)) VUINT32 _poly1_1[2][2]; + __declspec(align(16)) VUINT32 _poly3_0[2][2]; + __declspec(align(16)) VUINT32 _poly3_1[2][2]; + __declspec(align(16)) VUINT32 _poly5_0[2][2]; + __declspec(align(16)) VUINT32 _poly5_1[2][2]; + __declspec(align(16)) VUINT32 _poly1_2[2][2]; + __declspec(align(16)) VUINT32 _poly3_2[2][2]; + __declspec(align(16)) VUINT32 _poly1_3[2][2]; + __declspec(align(16)) VUINT32 _poly3_3[2][2]; +} __svml_derf_data_internal; +#endif +__svml_derf_data_internal: + /*== _erf_tbl ==*/ + .quad 0x0000000000000000, 0x3ff20dd750429b6d + .quad 0x3f820dbf3deb1340, 0x3ff20d8f1975c85d + .quad 0x3f920d77083f17a0, 0x3ff20cb67bd452c7 + .quad 0x3f9b137e0cf584dc, 0x3ff20b4d8bac36c1 + .quad 0x3fa20c5645dd2538, 0x3ff209546ad13ccf + .quad 0x3fa68e5d3bbc9526, 0x3ff206cb4897b148 + .quad 0x3fab0fafef135745, 0x3ff203b261cd0053 + .quad 0x3faf902a77bd3821, 0x3ff2000a00ae3804 + .quad 0x3fb207d480e90658, 0x3ff1fbd27cdc72d3 + .quad 0x3fb44703e87e8593, 0x3ff1f70c3b4f2cc8 + .quad 0x3fb68591a1e83b5d, 0x3ff1f1b7ae44867f + .quad 0x3fb8c36beb8a8d23, 0x3ff1ebd5552f795b + .quad 0x3fbb0081148a873a, 0x3ff1e565bca400d4 + .quad 0x3fbd3cbf7e70a4b3, 0x3ff1de697e413d29 + .quad 0x3fbf78159ec8bb50, 0x3ff1d6e14099944a + .quad 0x3fc0d939005f65e5, 0x3ff1cecdb718d61c + .quad 0x3fc1f5e1a35c3b89, 0x3ff1c62fa1e869b6 + .quad 0x3fc311fc15f56d14, 0x3ff1bd07cdd189ac + .quad 0x3fc42d7fc2f64959, 0x3ff1b357141d95d5 + .quad 0x3fc548642321d7c6, 0x3ff1a91e5a748165 + .quad 0x3fc662a0bdf7a89f, 0x3ff19e5e92b964ab + .quad 0x3fc77c2d2a765f9e, 0x3ff19318bae53a04 + .quad 0x3fc895010fdbdbfd, 0x3ff1874ddcdfce24 + .quad 0x3fc9ad142662e14d, 0x3ff17aff0e56ec10 + .quad 0x3fcac45e37fe2526, 0x3ff16e2d7093cd8c + .quad 0x3fcbdad72110a648, 0x3ff160da304ed92f + .quad 0x3fccf076d1233237, 0x3ff153068581b781 + .quad 0x3fce05354b96ff36, 0x3ff144b3b337c90c + .quad 0x3fcf190aa85540e2, 0x3ff135e3075d076b + .quad 0x3fd015f78a3dcf3d, 0x3ff12695da8b5bde + .quad 0x3fd09eed6982b948, 0x3ff116cd8fd67618 + .quad 0x3fd127631eb8de32, 0x3ff1068b94962e5e + .quad 0x3fd1af54e232d609, 0x3ff0f5d1602f7e41 + .quad 0x3fd236bef825d9a2, 0x3ff0e4a073dc1b91 + .quad 0x3fd2bd9db0f7827f, 0x3ff0d2fa5a70c168 + .quad 0x3fd343ed6989b7d9, 0x3ff0c0e0a8223359 + .quad 0x3fd3c9aa8b84beda, 0x3ff0ae54fa490723 + .quad 0x3fd44ed18d9f6462, 0x3ff09b58f724416b + .quad 0x3fd4d35ef3e5372e, 0x3ff087ee4d9ad247 + .quad 0x3fd5574f4ffac98e, 0x3ff07416b4fbfe7c + .quad 0x3fd5da9f415ff23f, 0x3ff05fd3ecbec298 + .quad 0x3fd65d4b75b00471, 0x3ff04b27bc403d30 + .quad 0x3fd6df50a8dff772, 0x3ff03613f2812daf + .quad 0x3fd760aba57a76bf, 0x3ff0209a65e29545 + .quad 0x3fd7e15944d9d3e4, 0x3ff00abcf3e187a9 + .quad 0x3fd861566f5fd3c0, 0x3fefe8fb01a47307 + .quad 0x3fd8e0a01cab516b, 0x3fefbbbbef34b4b2 + .quad 0x3fd95f3353cbb146, 0x3fef8dc092d58ff8 + .quad 0x3fd9dd0d2b721f39, 0x3fef5f0cdaf15313 + .quad 0x3fda5a2aca209394, 0x3fef2fa4c16c0019 + .quad 0x3fdad68966569a87, 0x3feeff8c4b1375db + .quad 0x3fdb522646bbda68, 0x3feecec7870ebca8 + .quad 0x3fdbccfec24855b8, 0x3fee9d5a8e4c934e + .quad 0x3fdc4710406a65fc, 0x3fee6b4982f158b9 + .quad 0x3fdcc058392a6d2d, 0x3fee38988fc46e72 + .quad 0x3fdd38d4354c3bd0, 0x3fee054be79d3042 + .quad 0x3fddb081ce6e2a48, 0x3fedd167c4cf9d2a + .quad 0x3fde275eaf25e458, 0x3fed9cf06898cdaf + .quad 0x3fde9d68931ae650, 0x3fed67ea1a8b5368 + .quad 0x3fdf129d471eabb1, 0x3fed325927fb9d89 + .quad 0x3fdf86faa9428f9d, 0x3fecfc41e36c7df9 + .quad 0x3fdffa7ea8eb5fd0, 0x3fecc5a8a3fbea40 + .quad 0x3fe03693a371519c, 0x3fec8e91c4d01368 + .quad 0x3fe06f794ab2cae7, 0x3fec5701a484ef9d + .quad 0x3fe0a7ef5c18edd2, 0x3fec1efca49a5011 + .quad 0x3fe0dff4f247f6c6, 0x3febe68728e29d5e + .quad 0x3fe1178930ada115, 0x3febada596f25436 + .quad 0x3fe14eab43841b55, 0x3feb745c55905bf8 + .quad 0x3fe1855a5fd3dd50, 0x3feb3aafcc27502e + .quad 0x3fe1bb95c3746199, 0x3feb00a46237d5be + .quad 0x3fe1f15cb50bc4de, 0x3feac63e7ecc1411 + .quad 0x3fe226ae840d4d70, 0x3fea8b8287ec6a09 + .quad 0x3fe25b8a88b6dd7f, 0x3fea5074e2157620 + .quad 0x3fe28ff0240d52cd, 0x3fea1519efaf889e + .quad 0x3fe2c3debfd7d6c1, 0x3fe9d97610879642 + .quad 0x3fe2f755ce9a21f4, 0x3fe99d8da149c13f + .quad 0x3fe32a54cb8db67b, 0x3fe96164fafd8de3 + .quad 0x3fe35cdb3a9a144d, 0x3fe925007283d7aa + .quad 0x3fe38ee8a84beb71, 0x3fe8e86458169af8 + .quad 0x3fe3c07ca9cb4f9e, 0x3fe8ab94f6caa71d + .quad 0x3fe3f196dcd0f135, 0x3fe86e9694134b9e + .quad 0x3fe42236e79a5fa6, 0x3fe8316d6f48133d + .quad 0x3fe4525c78dd5966, 0x3fe7f41dc12c9e89 + .quad 0x3fe4820747ba2dc2, 0x3fe7b6abbb7aaf19 + .quad 0x3fe4b13713ad3513, 0x3fe7791b886e7403 + .quad 0x3fe4dfeba47f63cc, 0x3fe73b714a552763 + .quad 0x3fe50e24ca35fd2c, 0x3fe6fdb11b1e0c34 + .quad 0x3fe53be25d016a4f, 0x3fe6bfdf0beddaf5 + .quad 0x3fe569243d2b3a9b, 0x3fe681ff24b4ab04 + .quad 0x3fe595ea53035283, 0x3fe6441563c665d4 + .quad 0x3fe5c2348ecc4dc3, 0x3fe60625bd75d07b + .quad 0x3fe5ee02e8a71a53, 0x3fe5c8341bb23767 + .quad 0x3fe61955607dd15d, 0x3fe58a445da7c74c + .quad 0x3fe6442bfdedd397, 0x3fe54c5a57629db0 + .quad 0x3fe66e86d0312e82, 0x3fe50e79d1749ac9 + .quad 0x3fe69865ee075011, 0x3fe4d0a6889dfd9f + .quad 0x3fe6c1c9759d0e5f, 0x3fe492e42d78d2c5 + .quad 0x3fe6eab18c74091b, 0x3fe4553664273d24 + .quad 0x3fe7131e5f496a5a, 0x3fe417a0c4049fd0 + .quad 0x3fe73b1021fc0cb8, 0x3fe3da26d759aef5 + .quad 0x3fe762870f720c6f, 0x3fe39ccc1b136d5a + .quad 0x3fe78983697dc96f, 0x3fe35f93fe7d1b3d + .quad 0x3fe7b00578c26037, 0x3fe32281e2fd1a92 + .quad 0x3fe7d60d8c979f7b, 0x3fe2e5991bd4cbfc + .quad 0x3fe7fb9bfaed8078, 0x3fe2a8dcede3673b + .quad 0x3fe820b1202f27fb, 0x3fe26c508f6bd0ff + .quad 0x3fe8454d5f25760d, 0x3fe22ff727dd6f7b + .quad 0x3fe8697120d92a4a, 0x3fe1f3d3cf9ffe5a + .quad 0x3fe88d1cd474a2e0, 0x3fe1b7e98fe26217 + .quad 0x3fe8b050ef253c37, 0x3fe17c3b626c7a12 + .quad 0x3fe8d30debfc572e, 0x3fe140cc3173f007 + .quad 0x3fe8f5544bd00c04, 0x3fe1059ed7740313 + .quad 0x3fe91724951b8fc6, 0x3fe0cab61f084b93 + .quad 0x3fe9387f53df5238, 0x3fe09014c2ca74da + .quad 0x3fe959651980da31, 0x3fe055bd6d32e8d7 + .quad 0x3fe979d67caa6631, 0x3fe01bb2b87c6968 + .quad 0x3fe999d4192a5715, 0x3fdfc3ee5d1524b0 + .quad 0x3fe9b95e8fd26aba, 0x3fdf511a91a67d2a + .quad 0x3fe9d8768656cc42, 0x3fdedeeee0959518 + .quad 0x3fe9f71ca72cffb6, 0x3fde6d6ffaa65a25 + .quad 0x3fea1551a16aaeaf, 0x3fddfca26f5bbf88 + .quad 0x3fea331628a45b92, 0x3fdd8c8aace11e63 + .quad 0x3fea506af4cc00f4, 0x3fdd1d2cfff91594 + .quad 0x3fea6d50c20fa293, 0x3fdcae8d93f1d7b7 + .quad 0x3fea89c850b7d54d, 0x3fdc40b0729ed548 + .quad 0x3feaa5d265064366, 0x3fdbd3998457afdb + .quad 0x3feac16fc7143263, 0x3fdb674c8ffc6283 + .quad 0x3feadca142b10f98, 0x3fdafbcd3afe8ab6 + .quad 0x3feaf767a741088b, 0x3fda911f096fbc26 + .quad 0x3feb11c3c79bb424, 0x3fda27455e14c93c + .quad 0x3feb2bb679ead19c, 0x3fd9be437a7de946 + .quad 0x3feb4540978921ee, 0x3fd9561c7f23a47b + .quad 0x3feb5e62fce16095, 0x3fd8eed36b886d93 + .quad 0x3feb771e894d602e, 0x3fd8886b1e5ecfd1 + .quad 0x3feb8f741ef54f83, 0x3fd822e655b417e7 + .quad 0x3feba764a2af2b78, 0x3fd7be47af1f5d89 + .quad 0x3febbef0fbde6221, 0x3fd75a91a7f4d2ed + .quad 0x3febd61a1453ab44, 0x3fd6f7c69d7d3ef8 + .quad 0x3febece0d82d1a5c, 0x3fd695e8cd31867e + .quad 0x3fec034635b66e23, 0x3fd634fa54fa285f + .quad 0x3fec194b1d49a184, 0x3fd5d4fd33729015 + .quad 0x3fec2ef0812fc1bd, 0x3fd575f3483021c3 + .quad 0x3fec443755820d64, 0x3fd517de540ce2a3 + .quad 0x3fec5920900b5fd1, 0x3fd4babff975a04c + .quad 0x3fec6dad2829ec62, 0x3fd45e99bcbb7915 + .quad 0x3fec81de16b14cef, 0x3fd4036d0468a7a2 + .quad 0x3fec95b455cce69d, 0x3fd3a93b1998736c + .quad 0x3feca930e0e2a825, 0x3fd35005285227f1 + .quad 0x3fecbc54b476248d, 0x3fd2f7cc3fe6f423 + .quad 0x3feccf20ce0c0d27, 0x3fd2a09153529381 + .quad 0x3fece1962c0e0d8b, 0x3fd24a55399ea239 + .quad 0x3fecf3b5cdaf0c39, 0x3fd1f518ae487dc8 + .quad 0x3fed0580b2cfd249, 0x3fd1a0dc51a9934d + .quad 0x3fed16f7dbe41ca0, 0x3fd14da0a961fd14 + .quad 0x3fed281c49d818d0, 0x3fd0fb6620c550af + .quad 0x3fed38eefdf64fdd, 0x3fd0aa2d09497f2b + .quad 0x3fed4970f9ce00d9, 0x3fd059f59af7a906 + .quad 0x3fed59a33f19ed42, 0x3fd00abff4dec7a3 + .quad 0x3fed6986cfa798e7, 0x3fcf79183b101c5b + .quad 0x3fed791cad3eff01, 0x3fcedeb406d9c825 + .quad 0x3fed8865d98abe01, 0x3fce4652fadcb6b2 + .quad 0x3fed97635600bb89, 0x3fcdaff4969c0b04 + .quad 0x3feda61623cb41e0, 0x3fcd1b982c501370 + .quad 0x3fedb47f43b2980d, 0x3fcc893ce1dcbef7 + .quad 0x3fedc29fb60715af, 0x3fcbf8e1b1ca2279 + .quad 0x3fedd0787a8bb39d, 0x3fcb6a856c3ed54f + .quad 0x3fedde0a90611a0d, 0x3fcade26b7fbed95 + .quad 0x3fedeb56f5f12d28, 0x3fca53c4135a6526 + .quad 0x3fedf85ea8db188e, 0x3fc9cb5bd549b111 + .quad 0x3fee0522a5dfda73, 0x3fc944ec2e4f5630 + .quad 0x3fee11a3e8cf4eb8, 0x3fc8c07329874652 + .quad 0x3fee1de36c75ba58, 0x3fc83deeada4d25a + .quad 0x3fee29e22a89d766, 0x3fc7bd5c7df3fe9c + .quad 0x3fee35a11b9b61ce, 0x3fc73eba3b5b07b7 + .quad 0x3fee4121370224cc, 0x3fc6c205655be720 + .quad 0x3fee4c6372cd8927, 0x3fc6473b5b15a7a1 + .quad 0x3fee5768c3b4a3fc, 0x3fc5ce595c455b0a + .quad 0x3fee62321d06c5e0, 0x3fc5575c8a468362 + .quad 0x3fee6cc0709c8a0d, 0x3fc4e241e912c305 + .quad 0x3fee7714aec96534, 0x3fc46f066040a832 + .quad 0x3fee812fc64db369, 0x3fc3fda6bc016994 + .quad 0x3fee8b12a44944a8, 0x3fc38e1fae1d6a9d + .quad 0x3fee94be342e6743, 0x3fc3206dceef5f87 + .quad 0x3fee9e335fb56f87, 0x3fc2b48d9e5dea1c + .quad 0x3feea7730ed0bbb9, 0x3fc24a7b84d38971 + .quad 0x3feeb07e27a133aa, 0x3fc1e233d434b813 + .quad 0x3feeb9558e6b42ce, 0x3fc17bb2c8d41535 + .quad 0x3feec1fa258c4bea, 0x3fc116f48a6476cc + .quad 0x3feeca6ccd709544, 0x3fc0b3f52ce8c383 + .quad 0x3feed2ae6489ac1e, 0x3fc052b0b1a174ea + .quad 0x3feedabfc7453e63, 0x3fbfe6460fef4680 + .quad 0x3feee2a1d004692c, 0x3fbf2a901ccafb37 + .quad 0x3feeea5557137ae0, 0x3fbe723726b824a9 + .quad 0x3feef1db32a2277c, 0x3fbdbd32ac4c99b0 + .quad 0x3feef93436bc2daa, 0x3fbd0b7a0f921e7c + .quad 0x3fef006135426b26, 0x3fbc5d0497c09e74 + .quad 0x3fef0762fde45ee6, 0x3fbbb1c972f23e50 + .quad 0x3fef0e3a5e1a1788, 0x3fbb09bfb7d11a84 + .quad 0x3fef14e8211e8c55, 0x3fba64de673e8837 + .quad 0x3fef1b6d0fea5f4d, 0x3fb9c31c6df3b1b8 + .quad 0x3fef21c9f12f0677, 0x3fb92470a61b6965 + .quad 0x3fef27ff89525acf, 0x3fb888d1d8e510a3 + .quad 0x3fef2e0e9a6a8b09, 0x3fb7f036c0107294 + .quad 0x3fef33f7e43a706b, 0x3fb75a96077274ba + .quad 0x3fef39bc242e43e6, 0x3fb6c7e64e7281cb + .quad 0x3fef3f5c1558b19e, 0x3fb6381e2980956b + .quad 0x3fef44d870704911, 0x3fb5ab342383d178 + .quad 0x3fef4a31ebcd47df, 0x3fb5211ebf41880b + .quad 0x3fef4f693b67bd77, 0x3fb499d478bca735 + .quad 0x3fef547f10d60597, 0x3fb4154bc68d75c3 + .quad 0x3fef59741b4b97cf, 0x3fb3937b1b31925a + .quad 0x3fef5e4907982a07, 0x3fb31458e6542847 + .quad 0x3fef62fe80272419, 0x3fb297db960e4f63 + .quad 0x3fef67952cff6282, 0x3fb21df9981f8e53 + .quad 0x3fef6c0db3c34641, 0x3fb1a6a95b1e786f + .quad 0x3fef7068b7b10fd9, 0x3fb131e14fa1625d + .quad 0x3fef74a6d9a38383, 0x3fb0bf97e95f2a64 + .quad 0x3fef78c8b812d498, 0x3fb04fc3a0481321 + .quad 0x3fef7cceef15d631, 0x3fafc4b5e32d6259 + .quad 0x3fef80ba18636f07, 0x3faeeea8c1b1db94 + .quad 0x3fef848acb544e95, 0x3fae1d4cf1e2450a + .quad 0x3fef88419ce4e184, 0x3fad508f9a1ea64f + .quad 0x3fef8bdf1fb78370, 0x3fac885df3451a07 + .quad 0x3fef8f63e416ebff, 0x3fabc4a54a84e834 + .quad 0x3fef92d077f8d56d, 0x3fab055303221015 + .quad 0x3fef96256700da8e, 0x3faa4a549829587e + .quad 0x3fef99633a838a57, 0x3fa993979e14fffe + .quad 0x3fef9c8a7989af0d, 0x3fa8e109c4622913 + .quad 0x3fef9f9ba8d3c733, 0x3fa83298d717210e + .quad 0x3fefa2974addae45, 0x3fa78832c03aa2b1 + .quad 0x3fefa57ddfe27376, 0x3fa6e1c5893c380b + .quad 0x3fefa84fe5e05c8d, 0x3fa63f3f5c4de13b + .quad 0x3fefab0dd89d1309, 0x3fa5a08e85af27e0 + .quad 0x3fefadb831a9f9c3, 0x3fa505a174e9c929 + .quad 0x3fefb04f6868a944, 0x3fa46e66be002240 + .quad 0x3fefb2d3f20f9101, 0x3fa3dacd1a8d8cce + .quad 0x3fefb54641aebbc9, 0x3fa34ac36ad8dafe + .quad 0x3fefb7a6c834b5a2, 0x3fa2be38b6d92415 + .quad 0x3fefb9f5f4739170, 0x3fa2351c2f2d1449 + .quad 0x3fefbc3433260ca5, 0x3fa1af5d2e04f3f6 + .quad 0x3fefbe61eef4cf6a, 0x3fa12ceb37ff9bc3 + .quad 0x3fefc07f907bc794, 0x3fa0adb5fcfa8c75 + .quad 0x3fefc28d7e4f9cd0, 0x3fa031ad58d56279 + .quad 0x3fefc48c1d033c7a, 0x3f9f7182a851bca2 + .quad 0x3fefc67bcf2d7b8f, 0x3f9e85c449e377f3 + .quad 0x3fefc85cf56ecd38, 0x3f9da0005e5f28df + .quad 0x3fefca2fee770c79, 0x3f9cc0180af00a8b + .quad 0x3fefcbf5170b578b, 0x3f9be5ecd2fcb5f9 + .quad 0x3fefcdacca0bfb73, 0x3f9b1160991ff737 + .quad 0x3fefcf57607a6e7c, 0x3f9a4255a00b9f03 + .quad 0x3fefd0f5317f582f, 0x3f9978ae8b55ce1b + .quad 0x3fefd2869270a56f, 0x3f98b44e6031383e + .quad 0x3fefd40bd6d7a785, 0x3f97f5188610ddc8 + .quad 0x3fefd58550773cb5, 0x3f973af0c737bb45 + .quad 0x3fefd6f34f52013a, 0x3f9685bb5134ef13 + .quad 0x3fefd85621b0876d, 0x3f95d55cb54cd53a + .quad 0x3fefd9ae142795e3, 0x3f9529b9e8cf9a1e + .quad 0x3fefdafb719e6a69, 0x3f9482b8455dc491 + .quad 0x3fefdc3e835500b3, 0x3f93e03d891b37de + .quad 0x3fefdd7790ea5bc0, 0x3f93422fd6d12e2b + .quad 0x3fefdea6e062d0c9, 0x3f92a875b5ffab56 + .quad 0x3fefdfccb62e52d3, 0x3f9212f612dee7fb + .quad 0x3fefe0e9552ebdd6, 0x3f9181983e5133dd + .quad 0x3fefe1fcfebe2083, 0x3f90f443edc5ce49 + .quad 0x3fefe307f2b503d0, 0x3f906ae13b0d3255 + .quad 0x3fefe40a6f70af4b, 0x3f8fcab1483ea7fc + .quad 0x3fefe504b1d9696c, 0x3f8ec72615a894c4 + .quad 0x3fefe5f6f568b301, 0x3f8dcaf3691fc448 + .quad 0x3fefe6e1742f7cf6, 0x3f8cd5ec93c12432 + .quad 0x3fefe7c466dc57a1, 0x3f8be7e5ac24963b + .quad 0x3fefe8a004c19ae6, 0x3f8b00b38d6b3575 + .quad 0x3fefe97483db8670, 0x3f8a202bd6372dce + .quad 0x3fefea4218d6594a, 0x3f894624e78e0faf + .quad 0x3fefeb08f7146046, 0x3f887275e3a6869e + .quad 0x3fefebc950b3fa75, 0x3f87a4f6aca256cb + .quad 0x3fefec835695932e, 0x3f86dd7fe3358230 + .quad 0x3fefed37386190fb, 0x3f861beae53b72b7 + .quad 0x3fefede5248e38f4, 0x3f856011cc3b036d + .quad 0x3fefee8d486585ee, 0x3f84a9cf6bda3f4c + .quad 0x3fefef2fd00af31a, 0x3f83f8ff5042a88e + .quad 0x3fefefcce6813974, 0x3f834d7dbc76d7e5 + .quad 0x3feff064b5afffbe, 0x3f82a727a89a3f14 + .quad 0x3feff0f766697c76, 0x3f8205dac02bd6b9 + .quad 0x3feff18520700971, 0x3f81697560347b26 + .quad 0x3feff20e0a7ba8c2, 0x3f80d1d69569b82d + .quad 0x3feff2924a3f7a83, 0x3f803ede1a45bfee + .quad 0x3feff312046f2339, 0x3f7f60d8aa2a88f2 + .quad 0x3feff38d5cc4227f, 0x3f7e4cc4abf7d065 + .quad 0x3feff404760319b4, 0x3f7d4143a9dfe965 + .quad 0x3feff47772010262, 0x3f7c3e1a5f5c077c + .quad 0x3feff4e671a85425, 0x3f7b430ecf4a83a8 + .quad 0x3feff55194fe19df, 0x3f7a4fe83fb9db25 + .quad 0x3feff5b8fb26f5f6, 0x3f79646f35a76624 + .quad 0x3feff61cc26c1578, 0x3f78806d70b2fc36 + .quad 0x3feff67d08401202, 0x3f77a3ade6c8b3e5 + .quad 0x3feff6d9e943c231, 0x3f76cdfcbfc1e263 + .quad 0x3feff733814af88c, 0x3f75ff2750fe7820 + .quad 0x3feff789eb6130c9, 0x3f7536fc18f7ce5c + .quad 0x3feff7dd41ce2b4d, 0x3f74754abacdf1dc + .quad 0x3feff82d9e1a76d8, 0x3f73b9e3f9d06e3f + .quad 0x3feff87b1913e853, 0x3f730499b503957f + .quad 0x3feff8c5cad200a5, 0x3f72553ee2a336bf + .quad 0x3feff90dcaba4096, 0x3f71aba78ba3af89 + .quad 0x3feff9532f846ab0, 0x3f7107a8c7323a6e + .quad 0x3feff9960f3eb327, 0x3f706918b6355624 + .quad 0x3feff9d67f51ddba, 0x3f6f9f9cfd9c3035 + .quad 0x3feffa14948549a7, 0x3f6e77448fb66bb9 + .quad 0x3feffa506302ebae, 0x3f6d58da68fd1170 + .quad 0x3feffa89fe5b3625, 0x3f6c4412bf4b8f0b + .quad 0x3feffac17988ef4b, 0x3f6b38a3af2e55b4 + .quad 0x3feffaf6e6f4f5c0, 0x3f6a3645330550ff + .quad 0x3feffb2a5879f35e, 0x3f693cb11a30d765 + .quad 0x3feffb5bdf67fe6f, 0x3f684ba3004a50d0 + .quad 0x3feffb8b8c88295f, 0x3f6762d84469c18f + .quad 0x3feffbb970200110, 0x3f66821000795a03 + .quad 0x3feffbe599f4f9d9, 0x3f65a90b00981d93 + .quad 0x3feffc10194fcb64, 0x3f64d78bba8ca5fd + .quad 0x3feffc38fcffbb7c, 0x3f640d564548fad7 + .quad 0x3feffc60535dd7f5, 0x3f634a305080681f + .quad 0x3feffc862a501fd7, 0x3f628de11c5031eb + .quad 0x3feffcaa8f4c9bea, 0x3f61d83170fbf6fb + .quad 0x3feffccd8f5c66d1, 0x3f6128eb96be8798 + .quad 0x3feffcef371ea4d7, 0x3f607fdb4dafea5f + .quad 0x3feffd0f92cb6ba7, 0x3f5fb99b8b8279e1 + .quad 0x3feffd2eae369a07, 0x3f5e7f232d9e2630 + .quad 0x3feffd4c94d29fdb, 0x3f5d4fed7195d7e8 + .quad 0x3feffd6951b33686, 0x3f5c2b9cf7f893bf + .quad 0x3feffd84ef9009ee, 0x3f5b11d702b3deb2 + .quad 0x3feffd9f78c7524a, 0x3f5a024365f771bd + .quad 0x3feffdb8f7605ee7, 0x3f58fc8c794b03b5 + .quad 0x3feffdd1750e1220, 0x3f58005f08d6f1ef + .quad 0x3feffde8fb314ebf, 0x3f570d6a46e07dda + .quad 0x3feffdff92db56e5, 0x3f56235fbd7a4345 + .quad 0x3feffe1544d01ccb, 0x3f5541f340697987 + .quad 0x3feffe2a1988857c, 0x3f5468dadf4080ab + .quad 0x3feffe3e19349dc7, 0x3f5397ced7af2b15 + .quad 0x3feffe514bbdc197, 0x3f52ce898809244e + .quad 0x3feffe63b8c8b5f7, 0x3f520cc76202c5fb + .quad 0x3feffe7567b7b5e1, 0x3f515246dda49d47 + .quad 0x3feffe865fac722b, 0x3f509ec86c75d497 + .quad 0x3feffe96a78a04a9, 0x3f4fe41cd9bb4eee + .quad 0x3feffea645f6d6da, 0x3f4e97ba3b77f306 + .quad 0x3feffeb5415e7c44, 0x3f4d57f524723822 + .quad 0x3feffec39ff380b9, 0x3f4c245d4b99847a + .quad 0x3feffed167b12ac2, 0x3f4afc85e0f82e12 + .quad 0x3feffede9e5d3262, 0x3f49e005769dbc1d + .quad 0x3feffeeb49896c6d, 0x3f48ce75e9f6f8a0 + .quad 0x3feffef76e956a9f, 0x3f47c7744d9378f7 + .quad 0x3fefff0312b010b5, 0x3f46caa0d3582fe9 + .quad 0x3fefff0e3ad91ec2, 0x3f45d79eb71e893b + .quad 0x3fefff18ebe2b0e1, 0x3f44ee1429bf7cc0 + .quad 0x3fefff232a72b48e, 0x3f440daa3c89f5b6 + .quad 0x3fefff2cfb0453d9, 0x3f43360ccd23db3a + .quad 0x3fefff3661e9569d, 0x3f4266ea71d4f71a + .quad 0x3fefff3f634b79f9, 0x3f419ff4663ae9df + .quad 0x3fefff48032dbe40, 0x3f40e0de78654d1e + .quad 0x3fefff50456dab8c, 0x3f40295ef6591848 + .quad 0x3fefff582dc48d30, 0x3f3ef25d37f49fe1 + .quad 0x3fefff5fbfc8a439, 0x3f3da01102b5f851 + .quad 0x3fefff66feee5129, 0x3f3c5b5412dcafad + .quad 0x3fefff6dee89352e, 0x3f3b23a5a23e4210 + .quad 0x3fefff7491cd4af6, 0x3f39f8893d8fd1c1 + .quad 0x3fefff7aebcff755, 0x3f38d986a4187285 + .quad 0x3fefff80ff8911fd, 0x3f37c629a822bc9e + .quad 0x3fefff86cfd3e657, 0x3f36be02102b3520 + .quad 0x3fefff8c5f702ccf, 0x3f35c0a378c90bca + .quad 0x3fefff91b102fca8, 0x3f34cda5374ea275 + .quad 0x3fefff96c717b695, 0x3f33e4a23d1f4703 + .quad 0x3fefff9ba420e834, 0x3f330538fbb77ecd + .quad 0x3fefffa04a7928b1, 0x3f322f0b496539be + .quad 0x3fefffa4bc63ee9a, 0x3f3161be46ad3b50 + .quad 0x3fefffa8fc0e5f33, 0x3f309cfa445b00ff + .quad 0x3fefffad0b901755, 0x3f2fc0d55470cf51 + .quad 0x3fefffb0ecebee1b, 0x3f2e577bbcd49935 + .quad 0x3fefffb4a210b172, 0x3f2cfd4a5adec5c0 + .quad 0x3fefffb82cd9dcbf, 0x3f2bb1a9657ce465 + .quad 0x3fefffbb8f1049c6, 0x3f2a740684026555 + .quad 0x3fefffbeca6adbe9, 0x3f2943d4a1d1ed39 + .quad 0x3fefffc1e08f25f5, 0x3f28208bc334a6a5 + .quad 0x3fefffc4d3120aa1, 0x3f2709a8db59f25c + .quad 0x3fefffc7a37857d2, 0x3f25feada379d8b7 + .quad 0x3fefffca53375ce3, 0x3f24ff207314a102 + .quad 0x3fefffcce3b57bff, 0x3f240a8c1949f75e + .quad 0x3fefffcf564ab6b7, 0x3f23207fb7420eb9 + .quad 0x3fefffd1ac4135f9, 0x3f22408e9ba3327f + .quad 0x3fefffd3e6d5cd87, 0x3f216a501f0e42ca + .quad 0x3fefffd607387b07, 0x3f209d5f819c9e29 + .quad 0x3fefffd80e8ce0da, 0x3f1fb2b792b40a22 + .quad 0x3fefffd9fdeabcce, 0x3f1e3bcf436a1a95 + .quad 0x3fefffdbd65e5ad0, 0x3f1cd55277c18d05 + .quad 0x3fefffdd98e903b2, 0x3f1b7e94604479dc + .quad 0x3fefffdf46816833, 0x3f1a36eec00926dd + .quad 0x3fefffe0e0140857, 0x3f18fdc1b2dcf7b9 + .quad 0x3fefffe26683972a, 0x3f17d2737527c3f9 + .quad 0x3fefffe3daa95b18, 0x3f16b4702d7d5849 + .quad 0x3fefffe53d558ae9, 0x3f15a329b7d30748 + .quad 0x3fefffe68f4fa777, 0x3f149e17724f4d41 + .quad 0x3fefffe7d156d244, 0x3f13a4b60ba9aa4e + .quad 0x3fefffe904222101, 0x3f12b6875310f785 + .quad 0x3fefffea2860ee1e, 0x3f11d312098e9dba + .quad 0x3fefffeb3ebb267b, 0x3f10f9e1b4dd36df + .quad 0x3fefffec47d19457, 0x3f102a8673a94692 + .quad 0x3fefffed443e2787, 0x3f0ec929a665b449 + .quad 0x3fefffee34943b15, 0x3f0d4f4b4c8e09ed + .quad 0x3fefffef1960d85d, 0x3f0be6abbb10a5aa + .quad 0x3fefffeff32af7af, 0x3f0a8e8cc1fadef6 + .quad 0x3feffff0c273bea2, 0x3f094637d5bacfdb + .quad 0x3feffff187b6bc0e, 0x3f080cfdc72220cf + .quad 0x3feffff2436a21dc, 0x3f06e2367dc27f95 + .quad 0x3feffff2f5fefcaa, 0x3f05c540b4936fd2 + .quad 0x3feffff39fe16963, 0x3f04b581b8d170fc + .quad 0x3feffff44178c8d2, 0x3f03b2652b06c2b2 + .quad 0x3feffff4db27f146, 0x3f02bb5cc22e5db6 + .quad 0x3feffff56d4d5e5e, 0x3f01cfe010e2052d + .quad 0x3feffff5f8435efc, 0x3f00ef6c4c84a0fe + .quad 0x3feffff67c604180, 0x3f001984165a5f36 + .quad 0x3feffff6f9f67e55, 0x3efe9b5e8d00ce77 + .quad 0x3feffff77154e0d6, 0x3efd16f5716c6c1a + .quad 0x3feffff7e2c6aea2, 0x3efba4f035d60e03 + .quad 0x3feffff84e93cd75, 0x3efa447b7b03f045 + .quad 0x3feffff8b500e77c, 0x3ef8f4ccca7fc90d + .quad 0x3feffff9164f8e46, 0x3ef7b5223dac7336 + .quad 0x3feffff972be5c59, 0x3ef684c227fcacef + .quad 0x3feffff9ca891572, 0x3ef562fac4329b48 + .quad 0x3feffffa1de8c582, 0x3ef44f21e49054f2 + .quad 0x3feffffa6d13de73, 0x3ef34894a5e24657 + .quad 0x3feffffab83e54b8, 0x3ef24eb7254ccf83 + .quad 0x3feffffaff99bac4, 0x3ef160f438c70913 + .quad 0x3feffffb43555b5f, 0x3ef07ebd2a2d2844 + .quad 0x3feffffb839e52f3, 0x3eef4f12e9ab070a + .quad 0x3feffffbc09fa7cd, 0x3eedb5ad0b27805c + .quad 0x3feffffbfa82616b, 0x3eec304efa2c6f4e + .quad 0x3feffffc316d9ed0, 0x3eeabe09e9144b5e + .quad 0x3feffffc6586abf6, 0x3ee95df988e76644 + .quad 0x3feffffc96f1165e, 0x3ee80f439b4ee04b + .quad 0x3feffffcc5cec0c1, 0x3ee6d11788a69c64 + .quad 0x3feffffcf23ff5fc, 0x3ee5a2adfa0b4bc4 + .quad 0x3feffffd1c637b2b, 0x3ee4834877429b8f + .quad 0x3feffffd4456a10d, 0x3ee37231085c7d9a + .quad 0x3feffffd6a3554a1, 0x3ee26eb9daed6f7e + .quad 0x3feffffd8e1a2f22, 0x3ee1783ceac28910 + .quad 0x3feffffdb01e8546, 0x3ee08e1badf0fced + .quad 0x3feffffdd05a75ea, 0x3edf5f7d88472604 + .quad 0x3feffffdeee4f810, 0x3eddb92b5212fb8d + .quad 0x3feffffe0bd3e852, 0x3edc282cd3957eda + .quad 0x3feffffe273c15b7, 0x3edaab7abace48dc + .quad 0x3feffffe41314e06, 0x3ed94219bfcb4928 + .quad 0x3feffffe59c6698b, 0x3ed7eb1a2075864e + .quad 0x3feffffe710d565e, 0x3ed6a597219a93da + .quad 0x3feffffe8717232d, 0x3ed570b69502f313 + .quad 0x3feffffe9bf4098c, 0x3ed44ba864670882 + .quad 0x3feffffeafb377d5, 0x3ed335a62115bce2 + .quad 0x3feffffec2641a9e, 0x3ed22df298214423 + .quad 0x3feffffed413e5b7, 0x3ed133d96ae7e0dd + .quad 0x3feffffee4d01cd6, 0x3ed046aeabcfcdec + .quad 0x3feffffef4a55bd4, 0x3ececb9cfe1d8642 + .quad 0x3fefffff039f9e8f, 0x3ecd21397ead99cb + .quad 0x3fefffff11ca4876, 0x3ecb8d094c86d374 + .quad 0x3fefffff1f302bc1, 0x3eca0df0f0c626dc + .quad 0x3fefffff2bdb904d, 0x3ec8a2e269750a39 + .quad 0x3fefffff37d63a36, 0x3ec74adc8f4064d3 + .quad 0x3fefffff43297019, 0x3ec604ea819f007c + .quad 0x3fefffff4dde0118, 0x3ec4d0231928c6f9 + .quad 0x3fefffff57fc4a95, 0x3ec3aba85fe22e20 + .quad 0x3fefffff618c3da6, 0x3ec296a70f414053 + .quad 0x3fefffff6a956450, 0x3ec1905613b3abf2 + .quad 0x3fefffff731ee681, 0x3ec097f6156f32c5 + .quad 0x3fefffff7b2f8ed6, 0x3ebf59a20caf6695 + .quad 0x3fefffff82cdcf1b, 0x3ebd9c73698fb1dc + .quad 0x3fefffff89ffc4aa, 0x3ebbf716c6168bae + .quad 0x3fefffff90cb3c81, 0x3eba6852c6b58392 + .quad 0x3fefffff9735b73b, 0x3eb8eefd70594a89 + .quad 0x3fefffff9d446ccc, 0x3eb789fb715aae95 + .quad 0x3fefffffa2fc5015, 0x3eb6383f726a8e04 + .quad 0x3fefffffa8621251, 0x3eb4f8c96f26a26a + .quad 0x3fefffffad7a2652, 0x3eb3caa61607f920 + .quad 0x3fefffffb248c39d, 0x3eb2acee2f5ecdb8 + .quad 0x3fefffffb6d1e95d, 0x3eb19ec60b1242ed + .quad 0x3fefffffbb196132, 0x3eb09f5cf4dd2877 + .quad 0x3fefffffbf22c1e2, 0x3eaf5bd95d8730d8 + .quad 0x3fefffffc2f171e3, 0x3ead9371e2ff7c35 + .quad 0x3fefffffc688a9cf, 0x3eabe41de54d155a + .quad 0x3fefffffc9eb76ac, 0x3eaa4c89e08ef4f3 + .quad 0x3fefffffcd1cbc28, 0x3ea8cb738399b12c + .quad 0x3fefffffd01f36af, 0x3ea75fa8dbc84bec + .quad 0x3fefffffd2f57d68, 0x3ea608078a70dcbc + .quad 0x3fefffffd5a2041f, 0x3ea4c37c0394d094 + .quad 0x3fefffffd8271d12, 0x3ea39100d5687bfe + .quad 0x3fefffffda86faa9, 0x3ea26f9df8519bd7 + .quad 0x3fefffffdcc3b117, 0x3ea15e6827001f18 + .quad 0x3fefffffdedf37ed, 0x3ea05c803e4831c1 + .quad 0x3fefffffe0db6b91, 0x3e9ed22548cffd35 + .quad 0x3fefffffe2ba0ea5, 0x3e9d06ad6ecdf971 + .quad 0x3fefffffe47ccb60, 0x3e9b551c847fbc96 + .quad 0x3fefffffe62534d4, 0x3e99bc09f112b494 + .quad 0x3fefffffe7b4c81e, 0x3e983a1ff0aa239d + .quad 0x3fefffffe92ced93, 0x3e96ce1aa3fd7bdd + .quad 0x3fefffffea8ef9cf, 0x3e9576c72b514859 + .quad 0x3fefffffebdc2ec6, 0x3e943302cc4a0da8 + .quad 0x3fefffffed15bcba, 0x3e9301ba221dc9bb + .quad 0x3fefffffee3cc32c, 0x3e91e1e857adc568 + .quad 0x3fefffffef5251c2, 0x3e90d2966b1746f7 + .quad 0x3feffffff0576917, 0x3e8fa5b4f49cc6b2 + .quad 0x3feffffff14cfb92, 0x3e8dc3ae30b55c16 + .quad 0x3feffffff233ee1d, 0x3e8bfd7555a3bd68 + .quad 0x3feffffff30d18e8, 0x3e8a517d9e61628a + .quad 0x3feffffff3d9480f, 0x3e88be4f8f6c951f + .quad 0x3feffffff4993c46, 0x3e874287ded49339 + .quad 0x3feffffff54dab72, 0x3e85dcd669f2cd34 + .quad 0x3feffffff5f74141, 0x3e848bfd38302871 + .quad 0x3feffffff6969fb8, 0x3e834ecf8a3c124a + .quad 0x3feffffff72c5fb6, 0x3e822430f521cbcf + .quad 0x3feffffff7b91176, 0x3e810b1488aeb235 + .quad 0x3feffffff83d3d07, 0x3e80027c00a263a6 + .quad 0x3feffffff8b962be, 0x3e7e12ee004efc37 + .quad 0x3feffffff92dfba2, 0x3e7c3e44ae32b16b + .quad 0x3feffffff99b79d2, 0x3e7a854ea14102a8 + .quad 0x3feffffffa0248e8, 0x3e78e6761569f45d + .quad 0x3feffffffa62ce54, 0x3e77603bac345f65 + .quad 0x3feffffffabd69b4, 0x3e75f1353cdad001 + .quad 0x3feffffffb127525, 0x3e74980cb3c80949 + .quad 0x3feffffffb624592, 0x3e73537f00b6ad4d + .quad 0x3feffffffbad2aff, 0x3e72225b12bffc68 + .quad 0x3feffffffbf370cd, 0x3e710380e1adb7e9 + .quad 0x3feffffffc355dfd, 0x3e6febc107d5efaa + .quad 0x3feffffffc733572, 0x3e6df0f2a0ee6947 + .quad 0x3feffffffcad3626, 0x3e6c14b2188bcee4 + .quad 0x3feffffffce39b67, 0x3e6a553644f7f07d + .quad 0x3feffffffd169d0c, 0x3e68b0cfce0579e0 + .quad 0x3feffffffd466fa5, 0x3e6725e7c5dd20f7 + .quad 0x3feffffffd7344aa, 0x3e65b2fe547a1340 + .quad 0x3feffffffd9d4aab, 0x3e6456a974e92e93 + .quad 0x3feffffffdc4ad7a, 0x3e630f93c3699078 + .quad 0x3feffffffde9964e, 0x3e61dc7b5b978cf8 + .quad 0x3feffffffe0c2bf0, 0x3e60bc30c5d52f15 + .quad 0x3feffffffe2c92db, 0x3e5f5b2be65a0c7f + .quad 0x3feffffffe4aed5e, 0x3e5d5f3a8dea7357 + .quad 0x3feffffffe675bbd, 0x3e5b82915b03515b + .quad 0x3feffffffe81fc4e, 0x3e59c3517e789488 + .quad 0x3feffffffe9aeb97, 0x3e581fb7df06136e + .quad 0x3feffffffeb24467, 0x3e56961b8d641d06 + .quad 0x3feffffffec81ff2, 0x3e5524ec4d916cae + .quad 0x3feffffffedc95e7, 0x3e53cab1343d18d1 + .quad 0x3feffffffeefbc85, 0x3e52860757487a01 + .quad 0x3fefffffff01a8b6, 0x3e5155a09065d4f7 + .quad 0x3fefffffff126e1e, 0x3e50384250e4c9fc + .quad 0x3fefffffff221f30, 0x3e4e59890b926c78 + .quad 0x3fefffffff30cd3f, 0x3e4c642116a8a9e3 + .quad 0x3fefffffff3e8892, 0x3e4a8e405e651ab6 + .quad 0x3fefffffff4b606f, 0x3e48d5f98114f872 + .quad 0x3fefffffff57632d, 0x3e47397c5a66e307 + .quad 0x3fefffffff629e44, 0x3e45b71456c5a4c4 + .quad 0x3fefffffff6d1e56, 0x3e444d26de513197 + .quad 0x3fefffffff76ef3f, 0x3e42fa31d6371537 + .quad 0x3fefffffff801c1f, 0x3e41bcca373b7b43 + .quad 0x3fefffffff88af67, 0x3e40939ab853339f + .quad 0x3fefffffff90b2e3, 0x3e3efac5187b2863 + .quad 0x3fefffffff982fc1, 0x3e3cf1e86235d0e7 + .quad 0x3fefffffff9f2e9f, 0x3e3b0a68a2128bab + .quad 0x3fefffffffa5b790, 0x3e39423165bc4444 + .quad 0x3fefffffffabd229, 0x3e37974e743dea3d + .quad 0x3fefffffffb18582, 0x3e3607e9eacd1050 + .quad 0x3fefffffffb6d844, 0x3e34924a74dec729 + .quad 0x3fefffffffbbd0aa, 0x3e3334d19e0c2160 + .quad 0x3fefffffffc0748f, 0x3e31edfa3c5f5cca + .quad 0x3fefffffffc4c96c, 0x3e30bc56f1b54701 + .quad 0x3fefffffffc8d462, 0x3e2f3d2185e047d9 + .quad 0x3fefffffffcc9a41, 0x3e2d26cb87945e87 + .quad 0x3fefffffffd01f89, 0x3e2b334fac4b9f99 + .quad 0x3fefffffffd36871, 0x3e296076f7918d1c + .quad 0x3fefffffffd678ed, 0x3e27ac2d72fc2c63 + .quad 0x3fefffffffd954ae, 0x3e2614801550319e + .quad 0x3fefffffffdbff2a, 0x3e24979ac8b28927 + .quad 0x3fefffffffde7ba0, 0x3e2333c68e2d0548 + .quad 0x3fefffffffe0cd16, 0x3e21e767bce37dd7 + .quad 0x3fefffffffe2f664, 0x3e20b0fc5b6d05a0 + .quad 0x3fefffffffe4fa30, 0x3e1f1e3523b41d7d + .quad 0x3fefffffffe6daf7, 0x3e1d00de6608effe + .quad 0x3fefffffffe89b0c, 0x3e1b0778b7b3301b + .quad 0x3fefffffffea3c9a, 0x3e192fb04ec0f6cf + .quad 0x3fefffffffebc1a9, 0x3e177756ec9f78fa + .quad 0x3fefffffffed2c21, 0x3e15dc61922d5a06 + .quad 0x3fefffffffee7dc8, 0x3e145ce65699ff6d + .quad 0x3fefffffffefb847, 0x3e12f71a5f159970 + .quad 0x3feffffffff0dd2b, 0x3e11a94ff571654f + .quad 0x3feffffffff1ede9, 0x3e1071f4bbea09ec + .quad 0x3feffffffff2ebda, 0x3e0e9f1ff8ddd774 + .quad 0x3feffffffff3d843, 0x3e0c818223a202c7 + .quad 0x3feffffffff4b453, 0x3e0a887bd2b4404d + .quad 0x3feffffffff58126, 0x3e08b1a336c5eb6b + .quad 0x3feffffffff63fc3, 0x3e06fab63324088a + .quad 0x3feffffffff6f121, 0x3e056197e30205ba + .quad 0x3feffffffff79626, 0x3e03e44e45301b92 + .quad 0x3feffffffff82fab, 0x3e0281000bfe4c3f + .quad 0x3feffffffff8be77, 0x3e0135f28f2d50b4 + .quad 0x3feffffffff94346, 0x3e000187dded5975 + .quad 0x3feffffffff9bec8, 0x3dfdc479de0ef001 + .quad 0x3feffffffffa319f, 0x3dfbad4fdad3caa1 + .quad 0x3feffffffffa9c63, 0x3df9baed3ed27ab8 + .quad 0x3feffffffffaffa4, 0x3df7ead9ce4285bb + .quad 0x3feffffffffb5be5, 0x3df63ac6b4edc88e + .quad 0x3feffffffffbb1a2, 0x3df4a88be2a6390c + .quad 0x3feffffffffc014e, 0x3df332259185f1a0 + .quad 0x3feffffffffc4b56, 0x3df1d5b1f3793044 + .quad 0x3feffffffffc901c, 0x3df0916f04b6e18b + .quad 0x3feffffffffccfff, 0x3deec77101de6926 + .quad 0x3feffffffffd0b56, 0x3dec960bf23153e0 + .quad 0x3feffffffffd4271, 0x3dea8bd20fc65ef7 + .quad 0x3feffffffffd759d, 0x3de8a61745ec7d1d + .quad 0x3feffffffffda520, 0x3de6e25d0e756261 + .quad 0x3feffffffffdd13c, 0x3de53e4f7d1666cb + .quad 0x3feffffffffdfa2d, 0x3de3b7c27a7ddb0e + .quad 0x3feffffffffe202d, 0x3de24caf2c32af14 + .quad 0x3feffffffffe4371, 0x3de0fb3186804d0f + .quad 0x3feffffffffe642a, 0x3ddf830c0bb41fd7 + .quad 0x3feffffffffe8286, 0x3ddd3c0f1a91c846 + .quad 0x3feffffffffe9eb0, 0x3ddb1e5acf351d87 + .quad 0x3feffffffffeb8d0, 0x3dd92712d259ce66 + .quad 0x3feffffffffed10a, 0x3dd7538c60a04476 + .quad 0x3feffffffffee782, 0x3dd5a14b04b47879 + .quad 0x3feffffffffefc57, 0x3dd40dfd87456f4c + .quad 0x3fefffffffff0fa7, 0x3dd2977b1172b9d5 + .quad 0x3fefffffffff218f, 0x3dd13bc07e891491 + .quad 0x3fefffffffff3227, 0x3dcff1dbb4300811 + .quad 0x3fefffffffff4188, 0x3dcd9a880f306bd8 + .quad 0x3fefffffffff4fc9, 0x3dcb6e45220b55e0 + .quad 0x3fefffffffff5cfd, 0x3dc96a0b33f2c4da + .quad 0x3fefffffffff6939, 0x3dc78b07e9e924ac + .quad 0x3fefffffffff748e, 0x3dc5ce9ab1670dd2 + .quad 0x3fefffffffff7f0d, 0x3dc4325167006bb0 + .quad 0x3fefffffffff88c5, 0x3dc2b3e53538ff3f + .quad 0x3fefffffffff91c6, 0x3dc15137a7f44864 + .quad 0x3fefffffffff9a1b, 0x3dc0084ff125639d + .quad 0x3fefffffffffa1d2, 0x3dbdaeb0b7311ec7 + .quad 0x3fefffffffffa8f6, 0x3dbb7937d1c40c53 + .quad 0x3fefffffffffaf92, 0x3db96d082f59ab06 + .quad 0x3fefffffffffb5b0, 0x3db7872d9fa10aad + .quad 0x3fefffffffffbb58, 0x3db5c4e8e37bc7d0 + .quad 0x3fefffffffffc095, 0x3db423ac0df49a40 + .quad 0x3fefffffffffc56d, 0x3db2a117230ad284 + .quad 0x3fefffffffffc9e8, 0x3db13af4f04f9998 + .quad 0x3fefffffffffce0d, 0x3dafde703724e560 + .quad 0x3fefffffffffd1e1, 0x3dad77f0c82e7641 + .quad 0x3fefffffffffd56c, 0x3dab3ee02611d7dd + .quad 0x3fefffffffffd8b3, 0x3da92ff33023d5bd + .quad 0x3fefffffffffdbba, 0x3da7481a9e69f53f + .quad 0x3fefffffffffde86, 0x3da5847eda620959 + .quad 0x3fefffffffffe11d, 0x3da3e27c1fcc74bd + .quad 0x3fefffffffffe380, 0x3da25f9ee0b923dc + .quad 0x3fefffffffffe5b6, 0x3da0f9a068653200 + .quad 0x3fefffffffffe7c0, 0x3d9f5cc7718082b0 + .quad 0x3fefffffffffe9a2, 0x3d9cf7e53d6a2ca5 + .quad 0x3fefffffffffeb60, 0x3d9ac0f5f3229372 + .quad 0x3fefffffffffecfb, 0x3d98b498644847ea + .quad 0x3fefffffffffee77, 0x3d96cfa9bcca59dc + .quad 0x3fefffffffffefd6, 0x3d950f411d4fd2cd + .quad 0x3feffffffffff11a, 0x3d9370ab8327af5e + .quad 0x3feffffffffff245, 0x3d91f167f88c6b6e + .quad 0x3feffffffffff359, 0x3d908f24085d4597 + .quad 0x3feffffffffff457, 0x3d8e8f70e181d61a + .quad 0x3feffffffffff542, 0x3d8c324c20e337dc + .quad 0x3feffffffffff61b, 0x3d8a03261574b54e + .quad 0x3feffffffffff6e3, 0x3d87fe903cdf5855 + .quad 0x3feffffffffff79b, 0x3d86215c58da3450 + .quad 0x3feffffffffff845, 0x3d846897d4b69fc6 + .quad 0x3feffffffffff8e2, 0x3d82d1877d731b7b + .quad 0x3feffffffffff973, 0x3d8159a386b11517 + .quad 0x3feffffffffff9f8, 0x3d7ffd27ae9393ce + .quad 0x3feffffffffffa73, 0x3d7d7c593130dd0b + .quad 0x3feffffffffffae4, 0x3d7b2cd607c79bcf + .quad 0x3feffffffffffb4c, 0x3d790ae4d3405651 + .quad 0x3feffffffffffbad, 0x3d771312dd1759e2 + .quad 0x3feffffffffffc05, 0x3d75422ef5d8949d + .quad 0x3feffffffffffc57, 0x3d739544b0ecc957 + .quad 0x3feffffffffffca2, 0x3d720997f73e73dd + .quad 0x3feffffffffffce7, 0x3d709ca0eaacd277 + .quad 0x3feffffffffffd27, 0x3d6e9810295890ec + .quad 0x3feffffffffffd62, 0x3d6c2b45b5aa4a1d + .quad 0x3feffffffffffd98, 0x3d69eee068fa7596 + .quad 0x3feffffffffffdca, 0x3d67df2b399c10a8 + .quad 0x3feffffffffffdf8, 0x3d65f8b87a31bd85 + .quad 0x3feffffffffffe22, 0x3d64385c96e9a2d9 + .quad 0x3feffffffffffe49, 0x3d629b2933ef4cbc + .quad 0x3feffffffffffe6c, 0x3d611e68a6378f8a + .quad 0x3feffffffffffe8d, 0x3d5f7f338086a86b + .quad 0x3feffffffffffeab, 0x3d5cf8d7d9ce040a + .quad 0x3feffffffffffec7, 0x3d5aa577251ae485 + .quad 0x3feffffffffffee1, 0x3d58811d739efb5f + .quad 0x3feffffffffffef8, 0x3d568823e52970be + .quad 0x3fefffffffffff0e, 0x3d54b72ae68e8b4c + .quad 0x3fefffffffffff22, 0x3d530b14dbe876bc + .quad 0x3fefffffffffff34, 0x3d5181012ef86610 + .quad 0x3fefffffffffff45, 0x3d501647ba798745 + .quad 0x3fefffffffffff54, 0x3d4d90e917701675 + .quad 0x3fefffffffffff62, 0x3d4b2a87e86d0c8a + .quad 0x3fefffffffffff6f, 0x3d48f53dcb377293 + .quad 0x3fefffffffffff7b, 0x3d46ed2f2515e933 + .quad 0x3fefffffffffff86, 0x3d450ecc9ed47f19 + .quad 0x3fefffffffffff90, 0x3d4356cd5ce7799e + .quad 0x3fefffffffffff9a, 0x3d41c229a587ab78 + .quad 0x3fefffffffffffa2, 0x3d404e15ecc7f3f6 + .quad 0x3fefffffffffffaa, 0x3d3deffc7e6a6017 + .quad 0x3fefffffffffffb1, 0x3d3b7b040832f310 + .quad 0x3fefffffffffffb8, 0x3d3938e021f36d76 + .quad 0x3fefffffffffffbe, 0x3d37258610b3b233 + .quad 0x3fefffffffffffc3, 0x3d353d3bfc82a909 + .quad 0x3fefffffffffffc8, 0x3d337c92babdc2fd + .quad 0x3fefffffffffffcd, 0x3d31e06010120f6a + .quad 0x3fefffffffffffd1, 0x3d3065b9616170d4 + .quad 0x3fefffffffffffd5, 0x3d2e13dd96b3753b + .quad 0x3fefffffffffffd9, 0x3d2b950d32467392 + .quad 0x3fefffffffffffdc, 0x3d294a72263259a5 + .quad 0x3fefffffffffffdf, 0x3d272fd93e036cdc + .quad 0x3fefffffffffffe2, 0x3d254164576929ab + .quad 0x3fefffffffffffe4, 0x3d237b83c521fe96 + .quad 0x3fefffffffffffe7, 0x3d21daf033182e96 + .quad 0x3fefffffffffffe9, 0x3d205ca50205d26a + .quad 0x3fefffffffffffeb, 0x3d1dfbb6235639fa + .quad 0x3fefffffffffffed, 0x3d1b7807e294781f + .quad 0x3fefffffffffffee, 0x3d19298add70a734 + .quad 0x3feffffffffffff0, 0x3d170beaf9c7ffb6 + .quad 0x3feffffffffffff1, 0x3d151b2cd6709222 + .quad 0x3feffffffffffff3, 0x3d1353a6cf7f7fff + .quad 0x3feffffffffffff4, 0x3d11b1fa8cbe84a7 + .quad 0x3feffffffffffff5, 0x3d10330f0fd69921 + .quad 0x3feffffffffffff6, 0x3d0da81670f96f9b + .quad 0x3feffffffffffff7, 0x3d0b24a16b4d09aa + .quad 0x3feffffffffffff7, 0x3d08d6eeb6efdbd6 + .quad 0x3feffffffffffff8, 0x3d06ba91ac734786 + .quad 0x3feffffffffffff9, 0x3d04cb7966770ab5 + .quad 0x3feffffffffffff9, 0x3d0305e9721d0981 + .quad 0x3feffffffffffffa, 0x3d01667311fff70a + .quad 0x3feffffffffffffb, 0x3cffd3de10d62855 + .quad 0x3feffffffffffffb, 0x3cfd1aefbcd48d0c + .quad 0x3feffffffffffffb, 0x3cfa9cc93c25aca9 + .quad 0x3feffffffffffffc, 0x3cf85487ee3ea735 + .quad 0x3feffffffffffffc, 0x3cf63daf8b4b1e0c + .quad 0x3feffffffffffffd, 0x3cf45421e69a6ca1 + .quad 0x3feffffffffffffd, 0x3cf294175802d99a + .quad 0x3feffffffffffffd, 0x3cf0fa17bf41068f + .quad 0x3feffffffffffffd, 0x3cef05e82aae2bb9 + .quad 0x3feffffffffffffe, 0x3cec578101b29058 + .quad 0x3feffffffffffffe, 0x3ce9e39dc5dd2f7c + .quad 0x3feffffffffffffe, 0x3ce7a553a728bbf2 + .quad 0x3feffffffffffffe, 0x3ce5982008db1304 + .quad 0x3feffffffffffffe, 0x3ce3b7e00422e51b + .quad 0x3feffffffffffffe, 0x3ce200c898d9ee3e + .quad 0x3fefffffffffffff, 0x3ce06f5f7eb65a56 + .quad 0x3fefffffffffffff, 0x3cde00e9148a1d25 + .quad 0x3fefffffffffffff, 0x3cdb623734024e92 + .quad 0x3fefffffffffffff, 0x3cd8fd4e01891bf8 + .quad 0x3fefffffffffffff, 0x3cd6cd44c7470d89 + .quad 0x3fefffffffffffff, 0x3cd4cd9c04158cd7 + .quad 0x3fefffffffffffff, 0x3cd2fa34bf5c8344 + .quad 0x3fefffffffffffff, 0x3cd14f4890ff2461 + .quad 0x3fefffffffffffff, 0x3ccf92c49dfa4df5 + .quad 0x3fefffffffffffff, 0x3ccccaaea71ab0df + .quad 0x3fefffffffffffff, 0x3cca40829f001197 + .quad 0x3ff0000000000000, 0x3cc7eef13b59e96c + .quad 0x3ff0000000000000, 0x3cc5d11e1a252bf5 + .quad 0x3ff0000000000000, 0x3cc3e296303b2297 + .quad 0x3ff0000000000000, 0x3cc21f47009f43ce + .quad 0x3ff0000000000000, 0x3cc083768c5e4542 + .quad 0x3ff0000000000000, 0x3cbe1777d831265f + .quad 0x3ff0000000000000, 0x3cbb69f10b0191b5 + .quad 0x3ff0000000000000, 0x3cb8f8a3a05b5b53 + .quad 0x3ff0000000000000, 0x3cb6be573c40c8e7 + .quad 0x3ff0000000000000, 0x3cb4b645ba991fdb + .align 16 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff /* _AbsMask */ + .align 16 + .quad 0x4017f80000000000, 0x4017f80000000000 /* _MaxThreshold = 6.0 - 1.0/128.0 */ + .align 16 + .quad 0x42c0000000000000, 0x42c0000000000000 /* SRound */ + .align 16 + .quad 0x2ff0000000000000, 0x2ff0000000000000 /* _U2THreshold */ + .align 16 + .quad 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5 /* _poly_1_0 */ + .align 16 + .quad 0x3fc1111235a363b1, 0x3fc1111235a363b1 /* _poly_1_1 */ + .align 16 + .quad 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57 /* _poly_3_0 */ + .align 16 + .quad 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8 /* _poly_3_1 */ + .align 16 + .quad 0xbfc5555800001B4F, 0xbfc5555800001B4F /* _poly_5_0 */ + .align 16 + .quad 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122 /* _poly_5_1 */ + .align 16 + .quad 0xbfd55555555547f6, 0xbfd55555555547f6 /* _poly_1_2 */ + .align 16 + .quad 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd /* _poly_3_2 */ + .align 16 + .quad 0x3fe5555555554b0c, 0x3fe5555555554b0c /* _poly_1_3 */ + .align 16 + .quad 0xbfd5555555555555, 0xbfd5555555555555 /* _poly_3_3 */ + .align 16 + .type __svml_derf_data_internal,@object + .size __svml_derf_data_internal,.-__svml_derf_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core-sse.S new file mode 100644 index 0000000..7047857 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized erf, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVdN4v_erf _ZGVdN4v_erf_sse_wrapper +#include "../svml_d_erf4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core.c new file mode 100644 index 0000000..0647917 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized erf, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVdN4v_erf +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN4v_erf, __GI__ZGVdN4v_erf, __redirect__ZGVdN4v_erf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core_avx2.S new file mode 100644 index 0000000..bd7226c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf4_core_avx2.S @@ -0,0 +1,984 @@ +/* Function erf vectorized with AVX2. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * Basic formula is + * erf(x) ~ erf(x0) + + * + exp(-x0*x0)*D*(1+c0+T*P1(T)+D^2*P3(T)+D^4*P5(T)+D^6*p7+D^8*p9) + * where D=x-x0, T=x0*D + * x0 is x rounded to a specified number of fractional bits (in this case 7), + * except that x0=0 for |x|<3.5/128.0 (using x0=0 for first 4 table entries) + * + * Data table packs both erf(x0)_high and a few bits of erf(x0)_low in one + * entry (in place of redundant exponent bits) + * + */ + +/* Offsets for data table __svml_derf_data_internal + */ +#define _erf_tbl 0 +#define _AbsMask 12288 +#define _MaxThreshold 12320 +#define _SRound 12352 +#define _U2Threshold 12384 +#define _poly1_0 12416 +#define _poly1_1 12448 +#define _poly3_0 12480 +#define _poly3_1 12512 +#define _poly5_0 12544 +#define _poly5_1 12576 +#define _poly1_2 12608 +#define _poly3_2 12640 +#define _poly1_3 12672 +#define _poly3_3 12704 +#define _Mask32 12736 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN4v_erf_avx2) +/* + * vector gather: erf(x0), + * second value is exp(-x0*x0) + */ + lea __svml_derf_data_internal(%rip), %rdi + vmovupd _SRound+__svml_derf_data_internal(%rip), %ymm6 + vandpd _AbsMask+__svml_derf_data_internal(%rip), %ymm0, %ymm5 + +/* + * erf(x) rounds to 1.0 for x>_MaxThreshold (5.9921875) + * can compute all results in the main path + */ + vminpd _MaxThreshold+__svml_derf_data_internal(%rip), %ymm5, %ymm7 + vaddpd %ymm6, %ymm7, %ymm10 + vcmpgt_oqpd _U2Threshold+__svml_derf_data_internal(%rip), %ymm7, %ymm9 + vpsllq $4, %ymm10, %ymm11 + vsubpd %ymm6, %ymm10, %ymm8 + vandps _Mask32+__svml_derf_data_internal(%rip), %ymm11, %ymm12 + vsubpd %ymm8, %ymm7, %ymm3 + vmulpd %ymm3, %ymm8, %ymm2 + vandpd %ymm9, %ymm3, %ymm1 + +/* NaN fixup */ + vminpd %ymm5, %ymm3, %ymm3 + +/* save sign */ + vxorpd %ymm0, %ymm5, %ymm4 + +/* T^2 */ + vmulpd %ymm2, %ymm2, %ymm5 + vextractf128 $1, %ymm12, %xmm13 + vmovd %xmm12, %eax + vmovd %xmm13, %ecx + vpextrd $2, %xmm12, %edx + vpextrd $2, %xmm13, %esi + movslq %eax, %rax + movslq %edx, %rdx + movslq %ecx, %rcx + movslq %esi, %rsi + +/* Sign | Diff */ + vxorpd %ymm4, %ymm3, %ymm12 + +/* + * _LA_ polynomial computation + * Start polynomial evaluation + */ + vmovupd _poly1_0+__svml_derf_data_internal(%rip), %ymm3 + vmovupd (%rdi,%rax), %xmm6 + vmovupd (%rdi,%rdx), %xmm7 + vmovupd (%rdi,%rcx), %xmm8 + vmovupd (%rdi,%rsi), %xmm9 + vunpcklpd %xmm7, %xmm6, %xmm14 + vunpcklpd %xmm9, %xmm8, %xmm15 + +/* D2 = Diff^2 */ + vmulpd %ymm1, %ymm1, %ymm13 + vfmadd213pd _poly1_1+__svml_derf_data_internal(%rip), %ymm2, %ymm3 + vmovupd _poly5_0+__svml_derf_data_internal(%rip), %ymm1 + vunpckhpd %xmm9, %xmm8, %xmm10 + vfmadd213pd _poly1_2+__svml_derf_data_internal(%rip), %ymm2, %ymm3 + vfmadd213pd _poly5_1+__svml_derf_data_internal(%rip), %ymm2, %ymm1 + vfmadd213pd _poly1_3+__svml_derf_data_internal(%rip), %ymm2, %ymm3 + vfmadd213pd _poly3_3+__svml_derf_data_internal(%rip), %ymm13, %ymm1 + +/* P1 = T^2*P1 - T */ + vfmsub213pd %ymm2, %ymm5, %ymm3 + vinsertf128 $1, %xmm15, %ymm14, %ymm0 + vunpckhpd %xmm7, %xmm6, %xmm14 + vmovupd _poly3_0+__svml_derf_data_internal(%rip), %ymm6 + vfmadd213pd _poly3_1+__svml_derf_data_internal(%rip), %ymm2, %ymm6 + vfmadd213pd _poly3_2+__svml_derf_data_internal(%rip), %ymm2, %ymm6 + vfmadd213pd %ymm1, %ymm2, %ymm6 + +/* P1 + P3*D2 */ + vfmadd213pd %ymm3, %ymm13, %ymm6 + +/* Sign | _Erf_H */ + vxorpd %ymm4, %ymm0, %ymm0 + vinsertf128 $1, %xmm10, %ymm14, %ymm11 + +/* exp_h(x0) * Diff */ + vmulpd %ymm12, %ymm11, %ymm2 + +/* + * branch-free + * low part of result: exp_h(x0) * Diff*(1+P1) + */ + vfmadd213pd %ymm2, %ymm2, %ymm6 + +/* Final result */ + vaddpd %ymm6, %ymm0, %ymm15 + +/* Fix erf(-0) = -0 */ + vorpd %ymm4, %ymm15, %ymm0 + ret + +END(_ZGVdN4v_erf_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_derf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(32)) VUINT32 _erf_tbl[6*128*2][2]; + __declspec(align(32)) VUINT32 _AbsMask[4][2]; + __declspec(align(32)) VUINT32 _MaxThreshold[4][2]; + __declspec(align(32)) VUINT32 _SRound[4][2]; + __declspec(align(32)) VUINT32 _U2Threshold[4][2]; + __declspec(align(32)) VUINT32 _poly1_0[4][2]; + __declspec(align(32)) VUINT32 _poly1_1[4][2]; + __declspec(align(32)) VUINT32 _poly3_0[4][2]; + __declspec(align(32)) VUINT32 _poly3_1[4][2]; + __declspec(align(32)) VUINT32 _poly5_0[4][2]; + __declspec(align(32)) VUINT32 _poly5_1[4][2]; + __declspec(align(32)) VUINT32 _poly1_2[4][2]; + __declspec(align(32)) VUINT32 _poly3_2[4][2]; + __declspec(align(32)) VUINT32 _poly1_3[4][2]; + __declspec(align(32)) VUINT32 _poly3_3[4][2]; + __declspec(align(32)) VUINT32 _Mask32[4][2]; +} __svml_derf_data_internal; +#endif +__svml_derf_data_internal: + /*== _erf_tbl ==*/ + .quad 0x0000000000000000, 0x3ff20dd750429b6d + .quad 0x3f820dbf3deb1340, 0x3ff20d8f1975c85d + .quad 0x3f920d77083f17a0, 0x3ff20cb67bd452c7 + .quad 0x3f9b137e0cf584dc, 0x3ff20b4d8bac36c1 + .quad 0x3fa20c5645dd2538, 0x3ff209546ad13ccf + .quad 0x3fa68e5d3bbc9526, 0x3ff206cb4897b148 + .quad 0x3fab0fafef135745, 0x3ff203b261cd0053 + .quad 0x3faf902a77bd3821, 0x3ff2000a00ae3804 + .quad 0x3fb207d480e90658, 0x3ff1fbd27cdc72d3 + .quad 0x3fb44703e87e8593, 0x3ff1f70c3b4f2cc8 + .quad 0x3fb68591a1e83b5d, 0x3ff1f1b7ae44867f + .quad 0x3fb8c36beb8a8d23, 0x3ff1ebd5552f795b + .quad 0x3fbb0081148a873a, 0x3ff1e565bca400d4 + .quad 0x3fbd3cbf7e70a4b3, 0x3ff1de697e413d29 + .quad 0x3fbf78159ec8bb50, 0x3ff1d6e14099944a + .quad 0x3fc0d939005f65e5, 0x3ff1cecdb718d61c + .quad 0x3fc1f5e1a35c3b89, 0x3ff1c62fa1e869b6 + .quad 0x3fc311fc15f56d14, 0x3ff1bd07cdd189ac + .quad 0x3fc42d7fc2f64959, 0x3ff1b357141d95d5 + .quad 0x3fc548642321d7c6, 0x3ff1a91e5a748165 + .quad 0x3fc662a0bdf7a89f, 0x3ff19e5e92b964ab + .quad 0x3fc77c2d2a765f9e, 0x3ff19318bae53a04 + .quad 0x3fc895010fdbdbfd, 0x3ff1874ddcdfce24 + .quad 0x3fc9ad142662e14d, 0x3ff17aff0e56ec10 + .quad 0x3fcac45e37fe2526, 0x3ff16e2d7093cd8c + .quad 0x3fcbdad72110a648, 0x3ff160da304ed92f + .quad 0x3fccf076d1233237, 0x3ff153068581b781 + .quad 0x3fce05354b96ff36, 0x3ff144b3b337c90c + .quad 0x3fcf190aa85540e2, 0x3ff135e3075d076b + .quad 0x3fd015f78a3dcf3d, 0x3ff12695da8b5bde + .quad 0x3fd09eed6982b948, 0x3ff116cd8fd67618 + .quad 0x3fd127631eb8de32, 0x3ff1068b94962e5e + .quad 0x3fd1af54e232d609, 0x3ff0f5d1602f7e41 + .quad 0x3fd236bef825d9a2, 0x3ff0e4a073dc1b91 + .quad 0x3fd2bd9db0f7827f, 0x3ff0d2fa5a70c168 + .quad 0x3fd343ed6989b7d9, 0x3ff0c0e0a8223359 + .quad 0x3fd3c9aa8b84beda, 0x3ff0ae54fa490723 + .quad 0x3fd44ed18d9f6462, 0x3ff09b58f724416b + .quad 0x3fd4d35ef3e5372e, 0x3ff087ee4d9ad247 + .quad 0x3fd5574f4ffac98e, 0x3ff07416b4fbfe7c + .quad 0x3fd5da9f415ff23f, 0x3ff05fd3ecbec298 + .quad 0x3fd65d4b75b00471, 0x3ff04b27bc403d30 + .quad 0x3fd6df50a8dff772, 0x3ff03613f2812daf + .quad 0x3fd760aba57a76bf, 0x3ff0209a65e29545 + .quad 0x3fd7e15944d9d3e4, 0x3ff00abcf3e187a9 + .quad 0x3fd861566f5fd3c0, 0x3fefe8fb01a47307 + .quad 0x3fd8e0a01cab516b, 0x3fefbbbbef34b4b2 + .quad 0x3fd95f3353cbb146, 0x3fef8dc092d58ff8 + .quad 0x3fd9dd0d2b721f39, 0x3fef5f0cdaf15313 + .quad 0x3fda5a2aca209394, 0x3fef2fa4c16c0019 + .quad 0x3fdad68966569a87, 0x3feeff8c4b1375db + .quad 0x3fdb522646bbda68, 0x3feecec7870ebca8 + .quad 0x3fdbccfec24855b8, 0x3fee9d5a8e4c934e + .quad 0x3fdc4710406a65fc, 0x3fee6b4982f158b9 + .quad 0x3fdcc058392a6d2d, 0x3fee38988fc46e72 + .quad 0x3fdd38d4354c3bd0, 0x3fee054be79d3042 + .quad 0x3fddb081ce6e2a48, 0x3fedd167c4cf9d2a + .quad 0x3fde275eaf25e458, 0x3fed9cf06898cdaf + .quad 0x3fde9d68931ae650, 0x3fed67ea1a8b5368 + .quad 0x3fdf129d471eabb1, 0x3fed325927fb9d89 + .quad 0x3fdf86faa9428f9d, 0x3fecfc41e36c7df9 + .quad 0x3fdffa7ea8eb5fd0, 0x3fecc5a8a3fbea40 + .quad 0x3fe03693a371519c, 0x3fec8e91c4d01368 + .quad 0x3fe06f794ab2cae7, 0x3fec5701a484ef9d + .quad 0x3fe0a7ef5c18edd2, 0x3fec1efca49a5011 + .quad 0x3fe0dff4f247f6c6, 0x3febe68728e29d5e + .quad 0x3fe1178930ada115, 0x3febada596f25436 + .quad 0x3fe14eab43841b55, 0x3feb745c55905bf8 + .quad 0x3fe1855a5fd3dd50, 0x3feb3aafcc27502e + .quad 0x3fe1bb95c3746199, 0x3feb00a46237d5be + .quad 0x3fe1f15cb50bc4de, 0x3feac63e7ecc1411 + .quad 0x3fe226ae840d4d70, 0x3fea8b8287ec6a09 + .quad 0x3fe25b8a88b6dd7f, 0x3fea5074e2157620 + .quad 0x3fe28ff0240d52cd, 0x3fea1519efaf889e + .quad 0x3fe2c3debfd7d6c1, 0x3fe9d97610879642 + .quad 0x3fe2f755ce9a21f4, 0x3fe99d8da149c13f + .quad 0x3fe32a54cb8db67b, 0x3fe96164fafd8de3 + .quad 0x3fe35cdb3a9a144d, 0x3fe925007283d7aa + .quad 0x3fe38ee8a84beb71, 0x3fe8e86458169af8 + .quad 0x3fe3c07ca9cb4f9e, 0x3fe8ab94f6caa71d + .quad 0x3fe3f196dcd0f135, 0x3fe86e9694134b9e + .quad 0x3fe42236e79a5fa6, 0x3fe8316d6f48133d + .quad 0x3fe4525c78dd5966, 0x3fe7f41dc12c9e89 + .quad 0x3fe4820747ba2dc2, 0x3fe7b6abbb7aaf19 + .quad 0x3fe4b13713ad3513, 0x3fe7791b886e7403 + .quad 0x3fe4dfeba47f63cc, 0x3fe73b714a552763 + .quad 0x3fe50e24ca35fd2c, 0x3fe6fdb11b1e0c34 + .quad 0x3fe53be25d016a4f, 0x3fe6bfdf0beddaf5 + .quad 0x3fe569243d2b3a9b, 0x3fe681ff24b4ab04 + .quad 0x3fe595ea53035283, 0x3fe6441563c665d4 + .quad 0x3fe5c2348ecc4dc3, 0x3fe60625bd75d07b + .quad 0x3fe5ee02e8a71a53, 0x3fe5c8341bb23767 + .quad 0x3fe61955607dd15d, 0x3fe58a445da7c74c + .quad 0x3fe6442bfdedd397, 0x3fe54c5a57629db0 + .quad 0x3fe66e86d0312e82, 0x3fe50e79d1749ac9 + .quad 0x3fe69865ee075011, 0x3fe4d0a6889dfd9f + .quad 0x3fe6c1c9759d0e5f, 0x3fe492e42d78d2c5 + .quad 0x3fe6eab18c74091b, 0x3fe4553664273d24 + .quad 0x3fe7131e5f496a5a, 0x3fe417a0c4049fd0 + .quad 0x3fe73b1021fc0cb8, 0x3fe3da26d759aef5 + .quad 0x3fe762870f720c6f, 0x3fe39ccc1b136d5a + .quad 0x3fe78983697dc96f, 0x3fe35f93fe7d1b3d + .quad 0x3fe7b00578c26037, 0x3fe32281e2fd1a92 + .quad 0x3fe7d60d8c979f7b, 0x3fe2e5991bd4cbfc + .quad 0x3fe7fb9bfaed8078, 0x3fe2a8dcede3673b + .quad 0x3fe820b1202f27fb, 0x3fe26c508f6bd0ff + .quad 0x3fe8454d5f25760d, 0x3fe22ff727dd6f7b + .quad 0x3fe8697120d92a4a, 0x3fe1f3d3cf9ffe5a + .quad 0x3fe88d1cd474a2e0, 0x3fe1b7e98fe26217 + .quad 0x3fe8b050ef253c37, 0x3fe17c3b626c7a12 + .quad 0x3fe8d30debfc572e, 0x3fe140cc3173f007 + .quad 0x3fe8f5544bd00c04, 0x3fe1059ed7740313 + .quad 0x3fe91724951b8fc6, 0x3fe0cab61f084b93 + .quad 0x3fe9387f53df5238, 0x3fe09014c2ca74da + .quad 0x3fe959651980da31, 0x3fe055bd6d32e8d7 + .quad 0x3fe979d67caa6631, 0x3fe01bb2b87c6968 + .quad 0x3fe999d4192a5715, 0x3fdfc3ee5d1524b0 + .quad 0x3fe9b95e8fd26aba, 0x3fdf511a91a67d2a + .quad 0x3fe9d8768656cc42, 0x3fdedeeee0959518 + .quad 0x3fe9f71ca72cffb6, 0x3fde6d6ffaa65a25 + .quad 0x3fea1551a16aaeaf, 0x3fddfca26f5bbf88 + .quad 0x3fea331628a45b92, 0x3fdd8c8aace11e63 + .quad 0x3fea506af4cc00f4, 0x3fdd1d2cfff91594 + .quad 0x3fea6d50c20fa293, 0x3fdcae8d93f1d7b7 + .quad 0x3fea89c850b7d54d, 0x3fdc40b0729ed548 + .quad 0x3feaa5d265064366, 0x3fdbd3998457afdb + .quad 0x3feac16fc7143263, 0x3fdb674c8ffc6283 + .quad 0x3feadca142b10f98, 0x3fdafbcd3afe8ab6 + .quad 0x3feaf767a741088b, 0x3fda911f096fbc26 + .quad 0x3feb11c3c79bb424, 0x3fda27455e14c93c + .quad 0x3feb2bb679ead19c, 0x3fd9be437a7de946 + .quad 0x3feb4540978921ee, 0x3fd9561c7f23a47b + .quad 0x3feb5e62fce16095, 0x3fd8eed36b886d93 + .quad 0x3feb771e894d602e, 0x3fd8886b1e5ecfd1 + .quad 0x3feb8f741ef54f83, 0x3fd822e655b417e7 + .quad 0x3feba764a2af2b78, 0x3fd7be47af1f5d89 + .quad 0x3febbef0fbde6221, 0x3fd75a91a7f4d2ed + .quad 0x3febd61a1453ab44, 0x3fd6f7c69d7d3ef8 + .quad 0x3febece0d82d1a5c, 0x3fd695e8cd31867e + .quad 0x3fec034635b66e23, 0x3fd634fa54fa285f + .quad 0x3fec194b1d49a184, 0x3fd5d4fd33729015 + .quad 0x3fec2ef0812fc1bd, 0x3fd575f3483021c3 + .quad 0x3fec443755820d64, 0x3fd517de540ce2a3 + .quad 0x3fec5920900b5fd1, 0x3fd4babff975a04c + .quad 0x3fec6dad2829ec62, 0x3fd45e99bcbb7915 + .quad 0x3fec81de16b14cef, 0x3fd4036d0468a7a2 + .quad 0x3fec95b455cce69d, 0x3fd3a93b1998736c + .quad 0x3feca930e0e2a825, 0x3fd35005285227f1 + .quad 0x3fecbc54b476248d, 0x3fd2f7cc3fe6f423 + .quad 0x3feccf20ce0c0d27, 0x3fd2a09153529381 + .quad 0x3fece1962c0e0d8b, 0x3fd24a55399ea239 + .quad 0x3fecf3b5cdaf0c39, 0x3fd1f518ae487dc8 + .quad 0x3fed0580b2cfd249, 0x3fd1a0dc51a9934d + .quad 0x3fed16f7dbe41ca0, 0x3fd14da0a961fd14 + .quad 0x3fed281c49d818d0, 0x3fd0fb6620c550af + .quad 0x3fed38eefdf64fdd, 0x3fd0aa2d09497f2b + .quad 0x3fed4970f9ce00d9, 0x3fd059f59af7a906 + .quad 0x3fed59a33f19ed42, 0x3fd00abff4dec7a3 + .quad 0x3fed6986cfa798e7, 0x3fcf79183b101c5b + .quad 0x3fed791cad3eff01, 0x3fcedeb406d9c825 + .quad 0x3fed8865d98abe01, 0x3fce4652fadcb6b2 + .quad 0x3fed97635600bb89, 0x3fcdaff4969c0b04 + .quad 0x3feda61623cb41e0, 0x3fcd1b982c501370 + .quad 0x3fedb47f43b2980d, 0x3fcc893ce1dcbef7 + .quad 0x3fedc29fb60715af, 0x3fcbf8e1b1ca2279 + .quad 0x3fedd0787a8bb39d, 0x3fcb6a856c3ed54f + .quad 0x3fedde0a90611a0d, 0x3fcade26b7fbed95 + .quad 0x3fedeb56f5f12d28, 0x3fca53c4135a6526 + .quad 0x3fedf85ea8db188e, 0x3fc9cb5bd549b111 + .quad 0x3fee0522a5dfda73, 0x3fc944ec2e4f5630 + .quad 0x3fee11a3e8cf4eb8, 0x3fc8c07329874652 + .quad 0x3fee1de36c75ba58, 0x3fc83deeada4d25a + .quad 0x3fee29e22a89d766, 0x3fc7bd5c7df3fe9c + .quad 0x3fee35a11b9b61ce, 0x3fc73eba3b5b07b7 + .quad 0x3fee4121370224cc, 0x3fc6c205655be720 + .quad 0x3fee4c6372cd8927, 0x3fc6473b5b15a7a1 + .quad 0x3fee5768c3b4a3fc, 0x3fc5ce595c455b0a + .quad 0x3fee62321d06c5e0, 0x3fc5575c8a468362 + .quad 0x3fee6cc0709c8a0d, 0x3fc4e241e912c305 + .quad 0x3fee7714aec96534, 0x3fc46f066040a832 + .quad 0x3fee812fc64db369, 0x3fc3fda6bc016994 + .quad 0x3fee8b12a44944a8, 0x3fc38e1fae1d6a9d + .quad 0x3fee94be342e6743, 0x3fc3206dceef5f87 + .quad 0x3fee9e335fb56f87, 0x3fc2b48d9e5dea1c + .quad 0x3feea7730ed0bbb9, 0x3fc24a7b84d38971 + .quad 0x3feeb07e27a133aa, 0x3fc1e233d434b813 + .quad 0x3feeb9558e6b42ce, 0x3fc17bb2c8d41535 + .quad 0x3feec1fa258c4bea, 0x3fc116f48a6476cc + .quad 0x3feeca6ccd709544, 0x3fc0b3f52ce8c383 + .quad 0x3feed2ae6489ac1e, 0x3fc052b0b1a174ea + .quad 0x3feedabfc7453e63, 0x3fbfe6460fef4680 + .quad 0x3feee2a1d004692c, 0x3fbf2a901ccafb37 + .quad 0x3feeea5557137ae0, 0x3fbe723726b824a9 + .quad 0x3feef1db32a2277c, 0x3fbdbd32ac4c99b0 + .quad 0x3feef93436bc2daa, 0x3fbd0b7a0f921e7c + .quad 0x3fef006135426b26, 0x3fbc5d0497c09e74 + .quad 0x3fef0762fde45ee6, 0x3fbbb1c972f23e50 + .quad 0x3fef0e3a5e1a1788, 0x3fbb09bfb7d11a84 + .quad 0x3fef14e8211e8c55, 0x3fba64de673e8837 + .quad 0x3fef1b6d0fea5f4d, 0x3fb9c31c6df3b1b8 + .quad 0x3fef21c9f12f0677, 0x3fb92470a61b6965 + .quad 0x3fef27ff89525acf, 0x3fb888d1d8e510a3 + .quad 0x3fef2e0e9a6a8b09, 0x3fb7f036c0107294 + .quad 0x3fef33f7e43a706b, 0x3fb75a96077274ba + .quad 0x3fef39bc242e43e6, 0x3fb6c7e64e7281cb + .quad 0x3fef3f5c1558b19e, 0x3fb6381e2980956b + .quad 0x3fef44d870704911, 0x3fb5ab342383d178 + .quad 0x3fef4a31ebcd47df, 0x3fb5211ebf41880b + .quad 0x3fef4f693b67bd77, 0x3fb499d478bca735 + .quad 0x3fef547f10d60597, 0x3fb4154bc68d75c3 + .quad 0x3fef59741b4b97cf, 0x3fb3937b1b31925a + .quad 0x3fef5e4907982a07, 0x3fb31458e6542847 + .quad 0x3fef62fe80272419, 0x3fb297db960e4f63 + .quad 0x3fef67952cff6282, 0x3fb21df9981f8e53 + .quad 0x3fef6c0db3c34641, 0x3fb1a6a95b1e786f + .quad 0x3fef7068b7b10fd9, 0x3fb131e14fa1625d + .quad 0x3fef74a6d9a38383, 0x3fb0bf97e95f2a64 + .quad 0x3fef78c8b812d498, 0x3fb04fc3a0481321 + .quad 0x3fef7cceef15d631, 0x3fafc4b5e32d6259 + .quad 0x3fef80ba18636f07, 0x3faeeea8c1b1db94 + .quad 0x3fef848acb544e95, 0x3fae1d4cf1e2450a + .quad 0x3fef88419ce4e184, 0x3fad508f9a1ea64f + .quad 0x3fef8bdf1fb78370, 0x3fac885df3451a07 + .quad 0x3fef8f63e416ebff, 0x3fabc4a54a84e834 + .quad 0x3fef92d077f8d56d, 0x3fab055303221015 + .quad 0x3fef96256700da8e, 0x3faa4a549829587e + .quad 0x3fef99633a838a57, 0x3fa993979e14fffe + .quad 0x3fef9c8a7989af0d, 0x3fa8e109c4622913 + .quad 0x3fef9f9ba8d3c733, 0x3fa83298d717210e + .quad 0x3fefa2974addae45, 0x3fa78832c03aa2b1 + .quad 0x3fefa57ddfe27376, 0x3fa6e1c5893c380b + .quad 0x3fefa84fe5e05c8d, 0x3fa63f3f5c4de13b + .quad 0x3fefab0dd89d1309, 0x3fa5a08e85af27e0 + .quad 0x3fefadb831a9f9c3, 0x3fa505a174e9c929 + .quad 0x3fefb04f6868a944, 0x3fa46e66be002240 + .quad 0x3fefb2d3f20f9101, 0x3fa3dacd1a8d8cce + .quad 0x3fefb54641aebbc9, 0x3fa34ac36ad8dafe + .quad 0x3fefb7a6c834b5a2, 0x3fa2be38b6d92415 + .quad 0x3fefb9f5f4739170, 0x3fa2351c2f2d1449 + .quad 0x3fefbc3433260ca5, 0x3fa1af5d2e04f3f6 + .quad 0x3fefbe61eef4cf6a, 0x3fa12ceb37ff9bc3 + .quad 0x3fefc07f907bc794, 0x3fa0adb5fcfa8c75 + .quad 0x3fefc28d7e4f9cd0, 0x3fa031ad58d56279 + .quad 0x3fefc48c1d033c7a, 0x3f9f7182a851bca2 + .quad 0x3fefc67bcf2d7b8f, 0x3f9e85c449e377f3 + .quad 0x3fefc85cf56ecd38, 0x3f9da0005e5f28df + .quad 0x3fefca2fee770c79, 0x3f9cc0180af00a8b + .quad 0x3fefcbf5170b578b, 0x3f9be5ecd2fcb5f9 + .quad 0x3fefcdacca0bfb73, 0x3f9b1160991ff737 + .quad 0x3fefcf57607a6e7c, 0x3f9a4255a00b9f03 + .quad 0x3fefd0f5317f582f, 0x3f9978ae8b55ce1b + .quad 0x3fefd2869270a56f, 0x3f98b44e6031383e + .quad 0x3fefd40bd6d7a785, 0x3f97f5188610ddc8 + .quad 0x3fefd58550773cb5, 0x3f973af0c737bb45 + .quad 0x3fefd6f34f52013a, 0x3f9685bb5134ef13 + .quad 0x3fefd85621b0876d, 0x3f95d55cb54cd53a + .quad 0x3fefd9ae142795e3, 0x3f9529b9e8cf9a1e + .quad 0x3fefdafb719e6a69, 0x3f9482b8455dc491 + .quad 0x3fefdc3e835500b3, 0x3f93e03d891b37de + .quad 0x3fefdd7790ea5bc0, 0x3f93422fd6d12e2b + .quad 0x3fefdea6e062d0c9, 0x3f92a875b5ffab56 + .quad 0x3fefdfccb62e52d3, 0x3f9212f612dee7fb + .quad 0x3fefe0e9552ebdd6, 0x3f9181983e5133dd + .quad 0x3fefe1fcfebe2083, 0x3f90f443edc5ce49 + .quad 0x3fefe307f2b503d0, 0x3f906ae13b0d3255 + .quad 0x3fefe40a6f70af4b, 0x3f8fcab1483ea7fc + .quad 0x3fefe504b1d9696c, 0x3f8ec72615a894c4 + .quad 0x3fefe5f6f568b301, 0x3f8dcaf3691fc448 + .quad 0x3fefe6e1742f7cf6, 0x3f8cd5ec93c12432 + .quad 0x3fefe7c466dc57a1, 0x3f8be7e5ac24963b + .quad 0x3fefe8a004c19ae6, 0x3f8b00b38d6b3575 + .quad 0x3fefe97483db8670, 0x3f8a202bd6372dce + .quad 0x3fefea4218d6594a, 0x3f894624e78e0faf + .quad 0x3fefeb08f7146046, 0x3f887275e3a6869e + .quad 0x3fefebc950b3fa75, 0x3f87a4f6aca256cb + .quad 0x3fefec835695932e, 0x3f86dd7fe3358230 + .quad 0x3fefed37386190fb, 0x3f861beae53b72b7 + .quad 0x3fefede5248e38f4, 0x3f856011cc3b036d + .quad 0x3fefee8d486585ee, 0x3f84a9cf6bda3f4c + .quad 0x3fefef2fd00af31a, 0x3f83f8ff5042a88e + .quad 0x3fefefcce6813974, 0x3f834d7dbc76d7e5 + .quad 0x3feff064b5afffbe, 0x3f82a727a89a3f14 + .quad 0x3feff0f766697c76, 0x3f8205dac02bd6b9 + .quad 0x3feff18520700971, 0x3f81697560347b26 + .quad 0x3feff20e0a7ba8c2, 0x3f80d1d69569b82d + .quad 0x3feff2924a3f7a83, 0x3f803ede1a45bfee + .quad 0x3feff312046f2339, 0x3f7f60d8aa2a88f2 + .quad 0x3feff38d5cc4227f, 0x3f7e4cc4abf7d065 + .quad 0x3feff404760319b4, 0x3f7d4143a9dfe965 + .quad 0x3feff47772010262, 0x3f7c3e1a5f5c077c + .quad 0x3feff4e671a85425, 0x3f7b430ecf4a83a8 + .quad 0x3feff55194fe19df, 0x3f7a4fe83fb9db25 + .quad 0x3feff5b8fb26f5f6, 0x3f79646f35a76624 + .quad 0x3feff61cc26c1578, 0x3f78806d70b2fc36 + .quad 0x3feff67d08401202, 0x3f77a3ade6c8b3e5 + .quad 0x3feff6d9e943c231, 0x3f76cdfcbfc1e263 + .quad 0x3feff733814af88c, 0x3f75ff2750fe7820 + .quad 0x3feff789eb6130c9, 0x3f7536fc18f7ce5c + .quad 0x3feff7dd41ce2b4d, 0x3f74754abacdf1dc + .quad 0x3feff82d9e1a76d8, 0x3f73b9e3f9d06e3f + .quad 0x3feff87b1913e853, 0x3f730499b503957f + .quad 0x3feff8c5cad200a5, 0x3f72553ee2a336bf + .quad 0x3feff90dcaba4096, 0x3f71aba78ba3af89 + .quad 0x3feff9532f846ab0, 0x3f7107a8c7323a6e + .quad 0x3feff9960f3eb327, 0x3f706918b6355624 + .quad 0x3feff9d67f51ddba, 0x3f6f9f9cfd9c3035 + .quad 0x3feffa14948549a7, 0x3f6e77448fb66bb9 + .quad 0x3feffa506302ebae, 0x3f6d58da68fd1170 + .quad 0x3feffa89fe5b3625, 0x3f6c4412bf4b8f0b + .quad 0x3feffac17988ef4b, 0x3f6b38a3af2e55b4 + .quad 0x3feffaf6e6f4f5c0, 0x3f6a3645330550ff + .quad 0x3feffb2a5879f35e, 0x3f693cb11a30d765 + .quad 0x3feffb5bdf67fe6f, 0x3f684ba3004a50d0 + .quad 0x3feffb8b8c88295f, 0x3f6762d84469c18f + .quad 0x3feffbb970200110, 0x3f66821000795a03 + .quad 0x3feffbe599f4f9d9, 0x3f65a90b00981d93 + .quad 0x3feffc10194fcb64, 0x3f64d78bba8ca5fd + .quad 0x3feffc38fcffbb7c, 0x3f640d564548fad7 + .quad 0x3feffc60535dd7f5, 0x3f634a305080681f + .quad 0x3feffc862a501fd7, 0x3f628de11c5031eb + .quad 0x3feffcaa8f4c9bea, 0x3f61d83170fbf6fb + .quad 0x3feffccd8f5c66d1, 0x3f6128eb96be8798 + .quad 0x3feffcef371ea4d7, 0x3f607fdb4dafea5f + .quad 0x3feffd0f92cb6ba7, 0x3f5fb99b8b8279e1 + .quad 0x3feffd2eae369a07, 0x3f5e7f232d9e2630 + .quad 0x3feffd4c94d29fdb, 0x3f5d4fed7195d7e8 + .quad 0x3feffd6951b33686, 0x3f5c2b9cf7f893bf + .quad 0x3feffd84ef9009ee, 0x3f5b11d702b3deb2 + .quad 0x3feffd9f78c7524a, 0x3f5a024365f771bd + .quad 0x3feffdb8f7605ee7, 0x3f58fc8c794b03b5 + .quad 0x3feffdd1750e1220, 0x3f58005f08d6f1ef + .quad 0x3feffde8fb314ebf, 0x3f570d6a46e07dda + .quad 0x3feffdff92db56e5, 0x3f56235fbd7a4345 + .quad 0x3feffe1544d01ccb, 0x3f5541f340697987 + .quad 0x3feffe2a1988857c, 0x3f5468dadf4080ab + .quad 0x3feffe3e19349dc7, 0x3f5397ced7af2b15 + .quad 0x3feffe514bbdc197, 0x3f52ce898809244e + .quad 0x3feffe63b8c8b5f7, 0x3f520cc76202c5fb + .quad 0x3feffe7567b7b5e1, 0x3f515246dda49d47 + .quad 0x3feffe865fac722b, 0x3f509ec86c75d497 + .quad 0x3feffe96a78a04a9, 0x3f4fe41cd9bb4eee + .quad 0x3feffea645f6d6da, 0x3f4e97ba3b77f306 + .quad 0x3feffeb5415e7c44, 0x3f4d57f524723822 + .quad 0x3feffec39ff380b9, 0x3f4c245d4b99847a + .quad 0x3feffed167b12ac2, 0x3f4afc85e0f82e12 + .quad 0x3feffede9e5d3262, 0x3f49e005769dbc1d + .quad 0x3feffeeb49896c6d, 0x3f48ce75e9f6f8a0 + .quad 0x3feffef76e956a9f, 0x3f47c7744d9378f7 + .quad 0x3fefff0312b010b5, 0x3f46caa0d3582fe9 + .quad 0x3fefff0e3ad91ec2, 0x3f45d79eb71e893b + .quad 0x3fefff18ebe2b0e1, 0x3f44ee1429bf7cc0 + .quad 0x3fefff232a72b48e, 0x3f440daa3c89f5b6 + .quad 0x3fefff2cfb0453d9, 0x3f43360ccd23db3a + .quad 0x3fefff3661e9569d, 0x3f4266ea71d4f71a + .quad 0x3fefff3f634b79f9, 0x3f419ff4663ae9df + .quad 0x3fefff48032dbe40, 0x3f40e0de78654d1e + .quad 0x3fefff50456dab8c, 0x3f40295ef6591848 + .quad 0x3fefff582dc48d30, 0x3f3ef25d37f49fe1 + .quad 0x3fefff5fbfc8a439, 0x3f3da01102b5f851 + .quad 0x3fefff66feee5129, 0x3f3c5b5412dcafad + .quad 0x3fefff6dee89352e, 0x3f3b23a5a23e4210 + .quad 0x3fefff7491cd4af6, 0x3f39f8893d8fd1c1 + .quad 0x3fefff7aebcff755, 0x3f38d986a4187285 + .quad 0x3fefff80ff8911fd, 0x3f37c629a822bc9e + .quad 0x3fefff86cfd3e657, 0x3f36be02102b3520 + .quad 0x3fefff8c5f702ccf, 0x3f35c0a378c90bca + .quad 0x3fefff91b102fca8, 0x3f34cda5374ea275 + .quad 0x3fefff96c717b695, 0x3f33e4a23d1f4703 + .quad 0x3fefff9ba420e834, 0x3f330538fbb77ecd + .quad 0x3fefffa04a7928b1, 0x3f322f0b496539be + .quad 0x3fefffa4bc63ee9a, 0x3f3161be46ad3b50 + .quad 0x3fefffa8fc0e5f33, 0x3f309cfa445b00ff + .quad 0x3fefffad0b901755, 0x3f2fc0d55470cf51 + .quad 0x3fefffb0ecebee1b, 0x3f2e577bbcd49935 + .quad 0x3fefffb4a210b172, 0x3f2cfd4a5adec5c0 + .quad 0x3fefffb82cd9dcbf, 0x3f2bb1a9657ce465 + .quad 0x3fefffbb8f1049c6, 0x3f2a740684026555 + .quad 0x3fefffbeca6adbe9, 0x3f2943d4a1d1ed39 + .quad 0x3fefffc1e08f25f5, 0x3f28208bc334a6a5 + .quad 0x3fefffc4d3120aa1, 0x3f2709a8db59f25c + .quad 0x3fefffc7a37857d2, 0x3f25feada379d8b7 + .quad 0x3fefffca53375ce3, 0x3f24ff207314a102 + .quad 0x3fefffcce3b57bff, 0x3f240a8c1949f75e + .quad 0x3fefffcf564ab6b7, 0x3f23207fb7420eb9 + .quad 0x3fefffd1ac4135f9, 0x3f22408e9ba3327f + .quad 0x3fefffd3e6d5cd87, 0x3f216a501f0e42ca + .quad 0x3fefffd607387b07, 0x3f209d5f819c9e29 + .quad 0x3fefffd80e8ce0da, 0x3f1fb2b792b40a22 + .quad 0x3fefffd9fdeabcce, 0x3f1e3bcf436a1a95 + .quad 0x3fefffdbd65e5ad0, 0x3f1cd55277c18d05 + .quad 0x3fefffdd98e903b2, 0x3f1b7e94604479dc + .quad 0x3fefffdf46816833, 0x3f1a36eec00926dd + .quad 0x3fefffe0e0140857, 0x3f18fdc1b2dcf7b9 + .quad 0x3fefffe26683972a, 0x3f17d2737527c3f9 + .quad 0x3fefffe3daa95b18, 0x3f16b4702d7d5849 + .quad 0x3fefffe53d558ae9, 0x3f15a329b7d30748 + .quad 0x3fefffe68f4fa777, 0x3f149e17724f4d41 + .quad 0x3fefffe7d156d244, 0x3f13a4b60ba9aa4e + .quad 0x3fefffe904222101, 0x3f12b6875310f785 + .quad 0x3fefffea2860ee1e, 0x3f11d312098e9dba + .quad 0x3fefffeb3ebb267b, 0x3f10f9e1b4dd36df + .quad 0x3fefffec47d19457, 0x3f102a8673a94692 + .quad 0x3fefffed443e2787, 0x3f0ec929a665b449 + .quad 0x3fefffee34943b15, 0x3f0d4f4b4c8e09ed + .quad 0x3fefffef1960d85d, 0x3f0be6abbb10a5aa + .quad 0x3fefffeff32af7af, 0x3f0a8e8cc1fadef6 + .quad 0x3feffff0c273bea2, 0x3f094637d5bacfdb + .quad 0x3feffff187b6bc0e, 0x3f080cfdc72220cf + .quad 0x3feffff2436a21dc, 0x3f06e2367dc27f95 + .quad 0x3feffff2f5fefcaa, 0x3f05c540b4936fd2 + .quad 0x3feffff39fe16963, 0x3f04b581b8d170fc + .quad 0x3feffff44178c8d2, 0x3f03b2652b06c2b2 + .quad 0x3feffff4db27f146, 0x3f02bb5cc22e5db6 + .quad 0x3feffff56d4d5e5e, 0x3f01cfe010e2052d + .quad 0x3feffff5f8435efc, 0x3f00ef6c4c84a0fe + .quad 0x3feffff67c604180, 0x3f001984165a5f36 + .quad 0x3feffff6f9f67e55, 0x3efe9b5e8d00ce77 + .quad 0x3feffff77154e0d6, 0x3efd16f5716c6c1a + .quad 0x3feffff7e2c6aea2, 0x3efba4f035d60e03 + .quad 0x3feffff84e93cd75, 0x3efa447b7b03f045 + .quad 0x3feffff8b500e77c, 0x3ef8f4ccca7fc90d + .quad 0x3feffff9164f8e46, 0x3ef7b5223dac7336 + .quad 0x3feffff972be5c59, 0x3ef684c227fcacef + .quad 0x3feffff9ca891572, 0x3ef562fac4329b48 + .quad 0x3feffffa1de8c582, 0x3ef44f21e49054f2 + .quad 0x3feffffa6d13de73, 0x3ef34894a5e24657 + .quad 0x3feffffab83e54b8, 0x3ef24eb7254ccf83 + .quad 0x3feffffaff99bac4, 0x3ef160f438c70913 + .quad 0x3feffffb43555b5f, 0x3ef07ebd2a2d2844 + .quad 0x3feffffb839e52f3, 0x3eef4f12e9ab070a + .quad 0x3feffffbc09fa7cd, 0x3eedb5ad0b27805c + .quad 0x3feffffbfa82616b, 0x3eec304efa2c6f4e + .quad 0x3feffffc316d9ed0, 0x3eeabe09e9144b5e + .quad 0x3feffffc6586abf6, 0x3ee95df988e76644 + .quad 0x3feffffc96f1165e, 0x3ee80f439b4ee04b + .quad 0x3feffffcc5cec0c1, 0x3ee6d11788a69c64 + .quad 0x3feffffcf23ff5fc, 0x3ee5a2adfa0b4bc4 + .quad 0x3feffffd1c637b2b, 0x3ee4834877429b8f + .quad 0x3feffffd4456a10d, 0x3ee37231085c7d9a + .quad 0x3feffffd6a3554a1, 0x3ee26eb9daed6f7e + .quad 0x3feffffd8e1a2f22, 0x3ee1783ceac28910 + .quad 0x3feffffdb01e8546, 0x3ee08e1badf0fced + .quad 0x3feffffdd05a75ea, 0x3edf5f7d88472604 + .quad 0x3feffffdeee4f810, 0x3eddb92b5212fb8d + .quad 0x3feffffe0bd3e852, 0x3edc282cd3957eda + .quad 0x3feffffe273c15b7, 0x3edaab7abace48dc + .quad 0x3feffffe41314e06, 0x3ed94219bfcb4928 + .quad 0x3feffffe59c6698b, 0x3ed7eb1a2075864e + .quad 0x3feffffe710d565e, 0x3ed6a597219a93da + .quad 0x3feffffe8717232d, 0x3ed570b69502f313 + .quad 0x3feffffe9bf4098c, 0x3ed44ba864670882 + .quad 0x3feffffeafb377d5, 0x3ed335a62115bce2 + .quad 0x3feffffec2641a9e, 0x3ed22df298214423 + .quad 0x3feffffed413e5b7, 0x3ed133d96ae7e0dd + .quad 0x3feffffee4d01cd6, 0x3ed046aeabcfcdec + .quad 0x3feffffef4a55bd4, 0x3ececb9cfe1d8642 + .quad 0x3fefffff039f9e8f, 0x3ecd21397ead99cb + .quad 0x3fefffff11ca4876, 0x3ecb8d094c86d374 + .quad 0x3fefffff1f302bc1, 0x3eca0df0f0c626dc + .quad 0x3fefffff2bdb904d, 0x3ec8a2e269750a39 + .quad 0x3fefffff37d63a36, 0x3ec74adc8f4064d3 + .quad 0x3fefffff43297019, 0x3ec604ea819f007c + .quad 0x3fefffff4dde0118, 0x3ec4d0231928c6f9 + .quad 0x3fefffff57fc4a95, 0x3ec3aba85fe22e20 + .quad 0x3fefffff618c3da6, 0x3ec296a70f414053 + .quad 0x3fefffff6a956450, 0x3ec1905613b3abf2 + .quad 0x3fefffff731ee681, 0x3ec097f6156f32c5 + .quad 0x3fefffff7b2f8ed6, 0x3ebf59a20caf6695 + .quad 0x3fefffff82cdcf1b, 0x3ebd9c73698fb1dc + .quad 0x3fefffff89ffc4aa, 0x3ebbf716c6168bae + .quad 0x3fefffff90cb3c81, 0x3eba6852c6b58392 + .quad 0x3fefffff9735b73b, 0x3eb8eefd70594a89 + .quad 0x3fefffff9d446ccc, 0x3eb789fb715aae95 + .quad 0x3fefffffa2fc5015, 0x3eb6383f726a8e04 + .quad 0x3fefffffa8621251, 0x3eb4f8c96f26a26a + .quad 0x3fefffffad7a2652, 0x3eb3caa61607f920 + .quad 0x3fefffffb248c39d, 0x3eb2acee2f5ecdb8 + .quad 0x3fefffffb6d1e95d, 0x3eb19ec60b1242ed + .quad 0x3fefffffbb196132, 0x3eb09f5cf4dd2877 + .quad 0x3fefffffbf22c1e2, 0x3eaf5bd95d8730d8 + .quad 0x3fefffffc2f171e3, 0x3ead9371e2ff7c35 + .quad 0x3fefffffc688a9cf, 0x3eabe41de54d155a + .quad 0x3fefffffc9eb76ac, 0x3eaa4c89e08ef4f3 + .quad 0x3fefffffcd1cbc28, 0x3ea8cb738399b12c + .quad 0x3fefffffd01f36af, 0x3ea75fa8dbc84bec + .quad 0x3fefffffd2f57d68, 0x3ea608078a70dcbc + .quad 0x3fefffffd5a2041f, 0x3ea4c37c0394d094 + .quad 0x3fefffffd8271d12, 0x3ea39100d5687bfe + .quad 0x3fefffffda86faa9, 0x3ea26f9df8519bd7 + .quad 0x3fefffffdcc3b117, 0x3ea15e6827001f18 + .quad 0x3fefffffdedf37ed, 0x3ea05c803e4831c1 + .quad 0x3fefffffe0db6b91, 0x3e9ed22548cffd35 + .quad 0x3fefffffe2ba0ea5, 0x3e9d06ad6ecdf971 + .quad 0x3fefffffe47ccb60, 0x3e9b551c847fbc96 + .quad 0x3fefffffe62534d4, 0x3e99bc09f112b494 + .quad 0x3fefffffe7b4c81e, 0x3e983a1ff0aa239d + .quad 0x3fefffffe92ced93, 0x3e96ce1aa3fd7bdd + .quad 0x3fefffffea8ef9cf, 0x3e9576c72b514859 + .quad 0x3fefffffebdc2ec6, 0x3e943302cc4a0da8 + .quad 0x3fefffffed15bcba, 0x3e9301ba221dc9bb + .quad 0x3fefffffee3cc32c, 0x3e91e1e857adc568 + .quad 0x3fefffffef5251c2, 0x3e90d2966b1746f7 + .quad 0x3feffffff0576917, 0x3e8fa5b4f49cc6b2 + .quad 0x3feffffff14cfb92, 0x3e8dc3ae30b55c16 + .quad 0x3feffffff233ee1d, 0x3e8bfd7555a3bd68 + .quad 0x3feffffff30d18e8, 0x3e8a517d9e61628a + .quad 0x3feffffff3d9480f, 0x3e88be4f8f6c951f + .quad 0x3feffffff4993c46, 0x3e874287ded49339 + .quad 0x3feffffff54dab72, 0x3e85dcd669f2cd34 + .quad 0x3feffffff5f74141, 0x3e848bfd38302871 + .quad 0x3feffffff6969fb8, 0x3e834ecf8a3c124a + .quad 0x3feffffff72c5fb6, 0x3e822430f521cbcf + .quad 0x3feffffff7b91176, 0x3e810b1488aeb235 + .quad 0x3feffffff83d3d07, 0x3e80027c00a263a6 + .quad 0x3feffffff8b962be, 0x3e7e12ee004efc37 + .quad 0x3feffffff92dfba2, 0x3e7c3e44ae32b16b + .quad 0x3feffffff99b79d2, 0x3e7a854ea14102a8 + .quad 0x3feffffffa0248e8, 0x3e78e6761569f45d + .quad 0x3feffffffa62ce54, 0x3e77603bac345f65 + .quad 0x3feffffffabd69b4, 0x3e75f1353cdad001 + .quad 0x3feffffffb127525, 0x3e74980cb3c80949 + .quad 0x3feffffffb624592, 0x3e73537f00b6ad4d + .quad 0x3feffffffbad2aff, 0x3e72225b12bffc68 + .quad 0x3feffffffbf370cd, 0x3e710380e1adb7e9 + .quad 0x3feffffffc355dfd, 0x3e6febc107d5efaa + .quad 0x3feffffffc733572, 0x3e6df0f2a0ee6947 + .quad 0x3feffffffcad3626, 0x3e6c14b2188bcee4 + .quad 0x3feffffffce39b67, 0x3e6a553644f7f07d + .quad 0x3feffffffd169d0c, 0x3e68b0cfce0579e0 + .quad 0x3feffffffd466fa5, 0x3e6725e7c5dd20f7 + .quad 0x3feffffffd7344aa, 0x3e65b2fe547a1340 + .quad 0x3feffffffd9d4aab, 0x3e6456a974e92e93 + .quad 0x3feffffffdc4ad7a, 0x3e630f93c3699078 + .quad 0x3feffffffde9964e, 0x3e61dc7b5b978cf8 + .quad 0x3feffffffe0c2bf0, 0x3e60bc30c5d52f15 + .quad 0x3feffffffe2c92db, 0x3e5f5b2be65a0c7f + .quad 0x3feffffffe4aed5e, 0x3e5d5f3a8dea7357 + .quad 0x3feffffffe675bbd, 0x3e5b82915b03515b + .quad 0x3feffffffe81fc4e, 0x3e59c3517e789488 + .quad 0x3feffffffe9aeb97, 0x3e581fb7df06136e + .quad 0x3feffffffeb24467, 0x3e56961b8d641d06 + .quad 0x3feffffffec81ff2, 0x3e5524ec4d916cae + .quad 0x3feffffffedc95e7, 0x3e53cab1343d18d1 + .quad 0x3feffffffeefbc85, 0x3e52860757487a01 + .quad 0x3fefffffff01a8b6, 0x3e5155a09065d4f7 + .quad 0x3fefffffff126e1e, 0x3e50384250e4c9fc + .quad 0x3fefffffff221f30, 0x3e4e59890b926c78 + .quad 0x3fefffffff30cd3f, 0x3e4c642116a8a9e3 + .quad 0x3fefffffff3e8892, 0x3e4a8e405e651ab6 + .quad 0x3fefffffff4b606f, 0x3e48d5f98114f872 + .quad 0x3fefffffff57632d, 0x3e47397c5a66e307 + .quad 0x3fefffffff629e44, 0x3e45b71456c5a4c4 + .quad 0x3fefffffff6d1e56, 0x3e444d26de513197 + .quad 0x3fefffffff76ef3f, 0x3e42fa31d6371537 + .quad 0x3fefffffff801c1f, 0x3e41bcca373b7b43 + .quad 0x3fefffffff88af67, 0x3e40939ab853339f + .quad 0x3fefffffff90b2e3, 0x3e3efac5187b2863 + .quad 0x3fefffffff982fc1, 0x3e3cf1e86235d0e7 + .quad 0x3fefffffff9f2e9f, 0x3e3b0a68a2128bab + .quad 0x3fefffffffa5b790, 0x3e39423165bc4444 + .quad 0x3fefffffffabd229, 0x3e37974e743dea3d + .quad 0x3fefffffffb18582, 0x3e3607e9eacd1050 + .quad 0x3fefffffffb6d844, 0x3e34924a74dec729 + .quad 0x3fefffffffbbd0aa, 0x3e3334d19e0c2160 + .quad 0x3fefffffffc0748f, 0x3e31edfa3c5f5cca + .quad 0x3fefffffffc4c96c, 0x3e30bc56f1b54701 + .quad 0x3fefffffffc8d462, 0x3e2f3d2185e047d9 + .quad 0x3fefffffffcc9a41, 0x3e2d26cb87945e87 + .quad 0x3fefffffffd01f89, 0x3e2b334fac4b9f99 + .quad 0x3fefffffffd36871, 0x3e296076f7918d1c + .quad 0x3fefffffffd678ed, 0x3e27ac2d72fc2c63 + .quad 0x3fefffffffd954ae, 0x3e2614801550319e + .quad 0x3fefffffffdbff2a, 0x3e24979ac8b28927 + .quad 0x3fefffffffde7ba0, 0x3e2333c68e2d0548 + .quad 0x3fefffffffe0cd16, 0x3e21e767bce37dd7 + .quad 0x3fefffffffe2f664, 0x3e20b0fc5b6d05a0 + .quad 0x3fefffffffe4fa30, 0x3e1f1e3523b41d7d + .quad 0x3fefffffffe6daf7, 0x3e1d00de6608effe + .quad 0x3fefffffffe89b0c, 0x3e1b0778b7b3301b + .quad 0x3fefffffffea3c9a, 0x3e192fb04ec0f6cf + .quad 0x3fefffffffebc1a9, 0x3e177756ec9f78fa + .quad 0x3fefffffffed2c21, 0x3e15dc61922d5a06 + .quad 0x3fefffffffee7dc8, 0x3e145ce65699ff6d + .quad 0x3fefffffffefb847, 0x3e12f71a5f159970 + .quad 0x3feffffffff0dd2b, 0x3e11a94ff571654f + .quad 0x3feffffffff1ede9, 0x3e1071f4bbea09ec + .quad 0x3feffffffff2ebda, 0x3e0e9f1ff8ddd774 + .quad 0x3feffffffff3d843, 0x3e0c818223a202c7 + .quad 0x3feffffffff4b453, 0x3e0a887bd2b4404d + .quad 0x3feffffffff58126, 0x3e08b1a336c5eb6b + .quad 0x3feffffffff63fc3, 0x3e06fab63324088a + .quad 0x3feffffffff6f121, 0x3e056197e30205ba + .quad 0x3feffffffff79626, 0x3e03e44e45301b92 + .quad 0x3feffffffff82fab, 0x3e0281000bfe4c3f + .quad 0x3feffffffff8be77, 0x3e0135f28f2d50b4 + .quad 0x3feffffffff94346, 0x3e000187dded5975 + .quad 0x3feffffffff9bec8, 0x3dfdc479de0ef001 + .quad 0x3feffffffffa319f, 0x3dfbad4fdad3caa1 + .quad 0x3feffffffffa9c63, 0x3df9baed3ed27ab8 + .quad 0x3feffffffffaffa4, 0x3df7ead9ce4285bb + .quad 0x3feffffffffb5be5, 0x3df63ac6b4edc88e + .quad 0x3feffffffffbb1a2, 0x3df4a88be2a6390c + .quad 0x3feffffffffc014e, 0x3df332259185f1a0 + .quad 0x3feffffffffc4b56, 0x3df1d5b1f3793044 + .quad 0x3feffffffffc901c, 0x3df0916f04b6e18b + .quad 0x3feffffffffccfff, 0x3deec77101de6926 + .quad 0x3feffffffffd0b56, 0x3dec960bf23153e0 + .quad 0x3feffffffffd4271, 0x3dea8bd20fc65ef7 + .quad 0x3feffffffffd759d, 0x3de8a61745ec7d1d + .quad 0x3feffffffffda520, 0x3de6e25d0e756261 + .quad 0x3feffffffffdd13c, 0x3de53e4f7d1666cb + .quad 0x3feffffffffdfa2d, 0x3de3b7c27a7ddb0e + .quad 0x3feffffffffe202d, 0x3de24caf2c32af14 + .quad 0x3feffffffffe4371, 0x3de0fb3186804d0f + .quad 0x3feffffffffe642a, 0x3ddf830c0bb41fd7 + .quad 0x3feffffffffe8286, 0x3ddd3c0f1a91c846 + .quad 0x3feffffffffe9eb0, 0x3ddb1e5acf351d87 + .quad 0x3feffffffffeb8d0, 0x3dd92712d259ce66 + .quad 0x3feffffffffed10a, 0x3dd7538c60a04476 + .quad 0x3feffffffffee782, 0x3dd5a14b04b47879 + .quad 0x3feffffffffefc57, 0x3dd40dfd87456f4c + .quad 0x3fefffffffff0fa7, 0x3dd2977b1172b9d5 + .quad 0x3fefffffffff218f, 0x3dd13bc07e891491 + .quad 0x3fefffffffff3227, 0x3dcff1dbb4300811 + .quad 0x3fefffffffff4188, 0x3dcd9a880f306bd8 + .quad 0x3fefffffffff4fc9, 0x3dcb6e45220b55e0 + .quad 0x3fefffffffff5cfd, 0x3dc96a0b33f2c4da + .quad 0x3fefffffffff6939, 0x3dc78b07e9e924ac + .quad 0x3fefffffffff748e, 0x3dc5ce9ab1670dd2 + .quad 0x3fefffffffff7f0d, 0x3dc4325167006bb0 + .quad 0x3fefffffffff88c5, 0x3dc2b3e53538ff3f + .quad 0x3fefffffffff91c6, 0x3dc15137a7f44864 + .quad 0x3fefffffffff9a1b, 0x3dc0084ff125639d + .quad 0x3fefffffffffa1d2, 0x3dbdaeb0b7311ec7 + .quad 0x3fefffffffffa8f6, 0x3dbb7937d1c40c53 + .quad 0x3fefffffffffaf92, 0x3db96d082f59ab06 + .quad 0x3fefffffffffb5b0, 0x3db7872d9fa10aad + .quad 0x3fefffffffffbb58, 0x3db5c4e8e37bc7d0 + .quad 0x3fefffffffffc095, 0x3db423ac0df49a40 + .quad 0x3fefffffffffc56d, 0x3db2a117230ad284 + .quad 0x3fefffffffffc9e8, 0x3db13af4f04f9998 + .quad 0x3fefffffffffce0d, 0x3dafde703724e560 + .quad 0x3fefffffffffd1e1, 0x3dad77f0c82e7641 + .quad 0x3fefffffffffd56c, 0x3dab3ee02611d7dd + .quad 0x3fefffffffffd8b3, 0x3da92ff33023d5bd + .quad 0x3fefffffffffdbba, 0x3da7481a9e69f53f + .quad 0x3fefffffffffde86, 0x3da5847eda620959 + .quad 0x3fefffffffffe11d, 0x3da3e27c1fcc74bd + .quad 0x3fefffffffffe380, 0x3da25f9ee0b923dc + .quad 0x3fefffffffffe5b6, 0x3da0f9a068653200 + .quad 0x3fefffffffffe7c0, 0x3d9f5cc7718082b0 + .quad 0x3fefffffffffe9a2, 0x3d9cf7e53d6a2ca5 + .quad 0x3fefffffffffeb60, 0x3d9ac0f5f3229372 + .quad 0x3fefffffffffecfb, 0x3d98b498644847ea + .quad 0x3fefffffffffee77, 0x3d96cfa9bcca59dc + .quad 0x3fefffffffffefd6, 0x3d950f411d4fd2cd + .quad 0x3feffffffffff11a, 0x3d9370ab8327af5e + .quad 0x3feffffffffff245, 0x3d91f167f88c6b6e + .quad 0x3feffffffffff359, 0x3d908f24085d4597 + .quad 0x3feffffffffff457, 0x3d8e8f70e181d61a + .quad 0x3feffffffffff542, 0x3d8c324c20e337dc + .quad 0x3feffffffffff61b, 0x3d8a03261574b54e + .quad 0x3feffffffffff6e3, 0x3d87fe903cdf5855 + .quad 0x3feffffffffff79b, 0x3d86215c58da3450 + .quad 0x3feffffffffff845, 0x3d846897d4b69fc6 + .quad 0x3feffffffffff8e2, 0x3d82d1877d731b7b + .quad 0x3feffffffffff973, 0x3d8159a386b11517 + .quad 0x3feffffffffff9f8, 0x3d7ffd27ae9393ce + .quad 0x3feffffffffffa73, 0x3d7d7c593130dd0b + .quad 0x3feffffffffffae4, 0x3d7b2cd607c79bcf + .quad 0x3feffffffffffb4c, 0x3d790ae4d3405651 + .quad 0x3feffffffffffbad, 0x3d771312dd1759e2 + .quad 0x3feffffffffffc05, 0x3d75422ef5d8949d + .quad 0x3feffffffffffc57, 0x3d739544b0ecc957 + .quad 0x3feffffffffffca2, 0x3d720997f73e73dd + .quad 0x3feffffffffffce7, 0x3d709ca0eaacd277 + .quad 0x3feffffffffffd27, 0x3d6e9810295890ec + .quad 0x3feffffffffffd62, 0x3d6c2b45b5aa4a1d + .quad 0x3feffffffffffd98, 0x3d69eee068fa7596 + .quad 0x3feffffffffffdca, 0x3d67df2b399c10a8 + .quad 0x3feffffffffffdf8, 0x3d65f8b87a31bd85 + .quad 0x3feffffffffffe22, 0x3d64385c96e9a2d9 + .quad 0x3feffffffffffe49, 0x3d629b2933ef4cbc + .quad 0x3feffffffffffe6c, 0x3d611e68a6378f8a + .quad 0x3feffffffffffe8d, 0x3d5f7f338086a86b + .quad 0x3feffffffffffeab, 0x3d5cf8d7d9ce040a + .quad 0x3feffffffffffec7, 0x3d5aa577251ae485 + .quad 0x3feffffffffffee1, 0x3d58811d739efb5f + .quad 0x3feffffffffffef8, 0x3d568823e52970be + .quad 0x3fefffffffffff0e, 0x3d54b72ae68e8b4c + .quad 0x3fefffffffffff22, 0x3d530b14dbe876bc + .quad 0x3fefffffffffff34, 0x3d5181012ef86610 + .quad 0x3fefffffffffff45, 0x3d501647ba798745 + .quad 0x3fefffffffffff54, 0x3d4d90e917701675 + .quad 0x3fefffffffffff62, 0x3d4b2a87e86d0c8a + .quad 0x3fefffffffffff6f, 0x3d48f53dcb377293 + .quad 0x3fefffffffffff7b, 0x3d46ed2f2515e933 + .quad 0x3fefffffffffff86, 0x3d450ecc9ed47f19 + .quad 0x3fefffffffffff90, 0x3d4356cd5ce7799e + .quad 0x3fefffffffffff9a, 0x3d41c229a587ab78 + .quad 0x3fefffffffffffa2, 0x3d404e15ecc7f3f6 + .quad 0x3fefffffffffffaa, 0x3d3deffc7e6a6017 + .quad 0x3fefffffffffffb1, 0x3d3b7b040832f310 + .quad 0x3fefffffffffffb8, 0x3d3938e021f36d76 + .quad 0x3fefffffffffffbe, 0x3d37258610b3b233 + .quad 0x3fefffffffffffc3, 0x3d353d3bfc82a909 + .quad 0x3fefffffffffffc8, 0x3d337c92babdc2fd + .quad 0x3fefffffffffffcd, 0x3d31e06010120f6a + .quad 0x3fefffffffffffd1, 0x3d3065b9616170d4 + .quad 0x3fefffffffffffd5, 0x3d2e13dd96b3753b + .quad 0x3fefffffffffffd9, 0x3d2b950d32467392 + .quad 0x3fefffffffffffdc, 0x3d294a72263259a5 + .quad 0x3fefffffffffffdf, 0x3d272fd93e036cdc + .quad 0x3fefffffffffffe2, 0x3d254164576929ab + .quad 0x3fefffffffffffe4, 0x3d237b83c521fe96 + .quad 0x3fefffffffffffe7, 0x3d21daf033182e96 + .quad 0x3fefffffffffffe9, 0x3d205ca50205d26a + .quad 0x3fefffffffffffeb, 0x3d1dfbb6235639fa + .quad 0x3fefffffffffffed, 0x3d1b7807e294781f + .quad 0x3fefffffffffffee, 0x3d19298add70a734 + .quad 0x3feffffffffffff0, 0x3d170beaf9c7ffb6 + .quad 0x3feffffffffffff1, 0x3d151b2cd6709222 + .quad 0x3feffffffffffff3, 0x3d1353a6cf7f7fff + .quad 0x3feffffffffffff4, 0x3d11b1fa8cbe84a7 + .quad 0x3feffffffffffff5, 0x3d10330f0fd69921 + .quad 0x3feffffffffffff6, 0x3d0da81670f96f9b + .quad 0x3feffffffffffff7, 0x3d0b24a16b4d09aa + .quad 0x3feffffffffffff7, 0x3d08d6eeb6efdbd6 + .quad 0x3feffffffffffff8, 0x3d06ba91ac734786 + .quad 0x3feffffffffffff9, 0x3d04cb7966770ab5 + .quad 0x3feffffffffffff9, 0x3d0305e9721d0981 + .quad 0x3feffffffffffffa, 0x3d01667311fff70a + .quad 0x3feffffffffffffb, 0x3cffd3de10d62855 + .quad 0x3feffffffffffffb, 0x3cfd1aefbcd48d0c + .quad 0x3feffffffffffffb, 0x3cfa9cc93c25aca9 + .quad 0x3feffffffffffffc, 0x3cf85487ee3ea735 + .quad 0x3feffffffffffffc, 0x3cf63daf8b4b1e0c + .quad 0x3feffffffffffffd, 0x3cf45421e69a6ca1 + .quad 0x3feffffffffffffd, 0x3cf294175802d99a + .quad 0x3feffffffffffffd, 0x3cf0fa17bf41068f + .quad 0x3feffffffffffffd, 0x3cef05e82aae2bb9 + .quad 0x3feffffffffffffe, 0x3cec578101b29058 + .quad 0x3feffffffffffffe, 0x3ce9e39dc5dd2f7c + .quad 0x3feffffffffffffe, 0x3ce7a553a728bbf2 + .quad 0x3feffffffffffffe, 0x3ce5982008db1304 + .quad 0x3feffffffffffffe, 0x3ce3b7e00422e51b + .quad 0x3feffffffffffffe, 0x3ce200c898d9ee3e + .quad 0x3fefffffffffffff, 0x3ce06f5f7eb65a56 + .quad 0x3fefffffffffffff, 0x3cde00e9148a1d25 + .quad 0x3fefffffffffffff, 0x3cdb623734024e92 + .quad 0x3fefffffffffffff, 0x3cd8fd4e01891bf8 + .quad 0x3fefffffffffffff, 0x3cd6cd44c7470d89 + .quad 0x3fefffffffffffff, 0x3cd4cd9c04158cd7 + .quad 0x3fefffffffffffff, 0x3cd2fa34bf5c8344 + .quad 0x3fefffffffffffff, 0x3cd14f4890ff2461 + .quad 0x3fefffffffffffff, 0x3ccf92c49dfa4df5 + .quad 0x3fefffffffffffff, 0x3ccccaaea71ab0df + .quad 0x3fefffffffffffff, 0x3cca40829f001197 + .quad 0x3ff0000000000000, 0x3cc7eef13b59e96c + .quad 0x3ff0000000000000, 0x3cc5d11e1a252bf5 + .quad 0x3ff0000000000000, 0x3cc3e296303b2297 + .quad 0x3ff0000000000000, 0x3cc21f47009f43ce + .quad 0x3ff0000000000000, 0x3cc083768c5e4542 + .quad 0x3ff0000000000000, 0x3cbe1777d831265f + .quad 0x3ff0000000000000, 0x3cbb69f10b0191b5 + .quad 0x3ff0000000000000, 0x3cb8f8a3a05b5b53 + .quad 0x3ff0000000000000, 0x3cb6be573c40c8e7 + .quad 0x3ff0000000000000, 0x3cb4b645ba991fdb + .align 32 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _AbsMask */ + .align 32 + .quad 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000 /* _MaxThreshold = 6.0 - 1.0/128.0 */ + .align 32 + .quad 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000 /* SRound */ + .align 32 + .quad 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000 /* _U2THreshold */ + .align 32 + .quad 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5 /* _poly_1_0 */ + .align 32 + .quad 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1 /* _poly_1_1 */ + .align 32 + .quad 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57 /* _poly_3_0 */ + .align 32 + .quad 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8 /* _poly_3_1 */ + .align 32 + .quad 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F /* _poly_5_0 */ + .align 32 + .quad 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122 /* _poly_5_1 */ + .align 32 + .quad 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6 /* _poly_1_2 */ + .align 32 + .quad 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd /* _poly_3_2 */ + .align 32 + .quad 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c /* _poly_1_3 */ + .align 32 + .quad 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555 /* _poly_3_3 */ + .align 32 + .quad 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff /* _Mask32 */ + .align 32 + .type __svml_derf_data_internal,@object + .size __svml_derf_data_internal,.-__svml_derf_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core-avx2.S new file mode 100644 index 0000000..3456142 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized erf, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVeN8v_erf _ZGVeN8v_erf_avx2_wrapper +#include "../svml_d_erf8_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core.c new file mode 100644 index 0000000..78e4a85 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized erf, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVeN8v_erf +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN8v_erf, __GI__ZGVeN8v_erf, __redirect__ZGVeN8v_erf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core_avx512.S new file mode 100644 index 0000000..38f3731 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_erf8_core_avx512.S @@ -0,0 +1,983 @@ +/* Function erf vectorized with AVX-512. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * Basic formula is + * erf(x) ~ erf(x0) + + * + exp(-x0*x0)*D*(1+c0+T*P1(T)+D^2*P3(T)+D^4*P5(T)+D^6*p7+D^8*p9) + * where D=x-x0, T=x0*D + * x0 is x rounded to a specified number of fractional bits (in this case 7), + * except that x0=0 for |x|<3.5/128.0 (using x0=0 for first 4 table entries) + * + * Data table packs both erf(x0)_high and a few bits of erf(x0)_low in one + * entry (in place of redundant exponent bits) + * + */ + +/* Offsets for data table __svml_derf_data_internal + */ +#define _erf_tbl 0 +#define _AbsMask 12288 +#define _MaxThreshold 12352 +#define _SRound 12416 +#define _U2Threshold 12480 +#define _poly1_0 12544 +#define _poly1_1 12608 +#define _poly3_0 12672 +#define _poly3_1 12736 +#define _poly5_0 12800 +#define _poly5_1 12864 +#define _poly1_2 12928 +#define _poly3_2 12992 +#define _poly1_3 13056 +#define _poly3_3 13120 +#define _Mask32 13184 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_erf_skx) +/* + * vector gather: erf(x0), + * second value is exp(-x0*x0) + */ + lea __svml_derf_data_internal(%rip), %rax + +/* + * erf(x) rounds to 1.0 for x>_MaxThreshold (5.9921875) + * can compute all results in the main path + */ + vmovups _MaxThreshold+__svml_derf_data_internal(%rip), %zmm9 + vmovups _SRound+__svml_derf_data_internal(%rip), %zmm11 + vmovups _U2Threshold+__svml_derf_data_internal(%rip), %zmm10 + vandpd _AbsMask+__svml_derf_data_internal(%rip), %zmm0, %zmm7 + vpternlogd $0xff, %zmm1, %zmm1, %zmm14 + kxnorw %k0, %k0, %k3 + kxnorw %k0, %k0, %k2 + vminpd {sae}, %zmm9, %zmm7, %zmm12 + +/* save sign */ + vxorpd %zmm0, %zmm7, %zmm8 + vaddpd {rn-sae}, %zmm11, %zmm12, %zmm15 + vcmppd $26, {sae}, %zmm10, %zmm12, %k1 + +/* + * _LA_ polynomial computation + * Start polynomial evaluation + */ + vmovups _poly1_0+__svml_derf_data_internal(%rip), %zmm10 + vpsllq $4, %zmm15, %zmm3 + vsubpd {rn-sae}, %zmm11, %zmm15, %zmm13 + vmovups _poly3_0+__svml_derf_data_internal(%rip), %zmm11 + vmovups _poly3_3+__svml_derf_data_internal(%rip), %zmm15 + vsubpd {rn-sae}, %zmm13, %zmm12, %zmm1 + vmulpd {rn-sae}, %zmm1, %zmm13, %zmm6 + +/* NaN fixup */ + vminpd {sae}, %zmm7, %zmm1, %zmm7 + vmovups _poly1_2+__svml_derf_data_internal(%rip), %zmm13 + vpandq _Mask32+__svml_derf_data_internal(%rip), %zmm3, %zmm2 + vpmovqd %zmm2, %ymm0 + vmovups _poly1_1+__svml_derf_data_internal(%rip), %zmm2 + vfmadd231pd {rn-sae}, %zmm6, %zmm10, %zmm2 + vfmadd213pd {rn-sae}, %zmm13, %zmm6, %zmm2 + vpxord %zmm4, %zmm4, %zmm4 + vgatherdpd 8(%rax,%ymm0), %zmm4{%k3} + vpxord %zmm5, %zmm5, %zmm5 + vgatherdpd (%rax,%ymm0), %zmm5{%k2} + vmovups _poly3_1+__svml_derf_data_internal(%rip), %zmm0 + +/* Sign | _Erf_H */ + vxorpd %zmm8, %zmm5, %zmm5 + vfmadd231pd {rn-sae}, %zmm6, %zmm11, %zmm0 + vpandnq %zmm12, %zmm12, %zmm14{%k1} + vandpd %zmm14, %zmm1, %zmm9 + +/* Sign | Diff */ + vxorpd %zmm8, %zmm7, %zmm1 + vmovups _poly5_0+__svml_derf_data_internal(%rip), %zmm12 + vmovups _poly5_1+__svml_derf_data_internal(%rip), %zmm7 + vmovups _poly3_2+__svml_derf_data_internal(%rip), %zmm14 + +/* D2 = Diff^2 */ + vmulpd {rn-sae}, %zmm9, %zmm9, %zmm3 + +/* T^2 */ + vmulpd {rn-sae}, %zmm6, %zmm6, %zmm9 + +/* exp_h(x0) * Diff */ + vmulpd {rn-sae}, %zmm1, %zmm4, %zmm4 + vfmadd231pd {rn-sae}, %zmm6, %zmm12, %zmm7 + vmovups _poly1_3+__svml_derf_data_internal(%rip), %zmm12 + vfmadd213pd {rn-sae}, %zmm14, %zmm6, %zmm0 + vfmadd213pd {rn-sae}, %zmm15, %zmm3, %zmm7 + vfmadd213pd {rn-sae}, %zmm12, %zmm6, %zmm2 + vfmadd213pd {rn-sae}, %zmm7, %zmm6, %zmm0 + +/* P1 = T^2*P1 - T */ + vfmsub213pd {rn-sae}, %zmm6, %zmm9, %zmm2 + +/* P1 + P3*D2 */ + vfmadd213pd {rn-sae}, %zmm2, %zmm3, %zmm0 + +/* + * branch-free + * low part of result: exp_h(x0) * Diff*(1+P1) + */ + vfmadd213pd {rn-sae}, %zmm4, %zmm4, %zmm0 + +/* Final result */ + vaddpd {rn-sae}, %zmm5, %zmm0, %zmm6 + +/* Fix erf(-0) = -0 */ + vorpd %zmm8, %zmm6, %zmm0 + ret + +END(_ZGVeN8v_erf_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_derf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(64)) VUINT32 _erf_tbl[6*128*2][2]; + __declspec(align(64)) VUINT32 _AbsMask[8][2]; + __declspec(align(64)) VUINT32 _MaxThreshold[8][2]; + __declspec(align(64)) VUINT32 _SRound[8][2]; + __declspec(align(64)) VUINT32 _U2Threshold[8][2]; + __declspec(align(64)) VUINT32 _poly1_0[8][2]; + __declspec(align(64)) VUINT32 _poly1_1[8][2]; + __declspec(align(64)) VUINT32 _poly3_0[8][2]; + __declspec(align(64)) VUINT32 _poly3_1[8][2]; + __declspec(align(64)) VUINT32 _poly5_0[8][2]; + __declspec(align(64)) VUINT32 _poly5_1[8][2]; + __declspec(align(64)) VUINT32 _poly1_2[8][2]; + __declspec(align(64)) VUINT32 _poly3_2[8][2]; + __declspec(align(64)) VUINT32 _poly1_3[8][2]; + __declspec(align(64)) VUINT32 _poly3_3[8][2]; + __declspec(align(64)) VUINT32 _Mask32[8][2]; +} __svml_derf_data_internal; +#endif +__svml_derf_data_internal: + /*== _erf_tbl ==*/ + .quad 0x0000000000000000, 0x3ff20dd750429b6d + .quad 0x3f820dbf3deb1340, 0x3ff20d8f1975c85d + .quad 0x3f920d77083f17a0, 0x3ff20cb67bd452c7 + .quad 0x3f9b137e0cf584dc, 0x3ff20b4d8bac36c1 + .quad 0x3fa20c5645dd2538, 0x3ff209546ad13ccf + .quad 0x3fa68e5d3bbc9526, 0x3ff206cb4897b148 + .quad 0x3fab0fafef135745, 0x3ff203b261cd0053 + .quad 0x3faf902a77bd3821, 0x3ff2000a00ae3804 + .quad 0x3fb207d480e90658, 0x3ff1fbd27cdc72d3 + .quad 0x3fb44703e87e8593, 0x3ff1f70c3b4f2cc8 + .quad 0x3fb68591a1e83b5d, 0x3ff1f1b7ae44867f + .quad 0x3fb8c36beb8a8d23, 0x3ff1ebd5552f795b + .quad 0x3fbb0081148a873a, 0x3ff1e565bca400d4 + .quad 0x3fbd3cbf7e70a4b3, 0x3ff1de697e413d29 + .quad 0x3fbf78159ec8bb50, 0x3ff1d6e14099944a + .quad 0x3fc0d939005f65e5, 0x3ff1cecdb718d61c + .quad 0x3fc1f5e1a35c3b89, 0x3ff1c62fa1e869b6 + .quad 0x3fc311fc15f56d14, 0x3ff1bd07cdd189ac + .quad 0x3fc42d7fc2f64959, 0x3ff1b357141d95d5 + .quad 0x3fc548642321d7c6, 0x3ff1a91e5a748165 + .quad 0x3fc662a0bdf7a89f, 0x3ff19e5e92b964ab + .quad 0x3fc77c2d2a765f9e, 0x3ff19318bae53a04 + .quad 0x3fc895010fdbdbfd, 0x3ff1874ddcdfce24 + .quad 0x3fc9ad142662e14d, 0x3ff17aff0e56ec10 + .quad 0x3fcac45e37fe2526, 0x3ff16e2d7093cd8c + .quad 0x3fcbdad72110a648, 0x3ff160da304ed92f + .quad 0x3fccf076d1233237, 0x3ff153068581b781 + .quad 0x3fce05354b96ff36, 0x3ff144b3b337c90c + .quad 0x3fcf190aa85540e2, 0x3ff135e3075d076b + .quad 0x3fd015f78a3dcf3d, 0x3ff12695da8b5bde + .quad 0x3fd09eed6982b948, 0x3ff116cd8fd67618 + .quad 0x3fd127631eb8de32, 0x3ff1068b94962e5e + .quad 0x3fd1af54e232d609, 0x3ff0f5d1602f7e41 + .quad 0x3fd236bef825d9a2, 0x3ff0e4a073dc1b91 + .quad 0x3fd2bd9db0f7827f, 0x3ff0d2fa5a70c168 + .quad 0x3fd343ed6989b7d9, 0x3ff0c0e0a8223359 + .quad 0x3fd3c9aa8b84beda, 0x3ff0ae54fa490723 + .quad 0x3fd44ed18d9f6462, 0x3ff09b58f724416b + .quad 0x3fd4d35ef3e5372e, 0x3ff087ee4d9ad247 + .quad 0x3fd5574f4ffac98e, 0x3ff07416b4fbfe7c + .quad 0x3fd5da9f415ff23f, 0x3ff05fd3ecbec298 + .quad 0x3fd65d4b75b00471, 0x3ff04b27bc403d30 + .quad 0x3fd6df50a8dff772, 0x3ff03613f2812daf + .quad 0x3fd760aba57a76bf, 0x3ff0209a65e29545 + .quad 0x3fd7e15944d9d3e4, 0x3ff00abcf3e187a9 + .quad 0x3fd861566f5fd3c0, 0x3fefe8fb01a47307 + .quad 0x3fd8e0a01cab516b, 0x3fefbbbbef34b4b2 + .quad 0x3fd95f3353cbb146, 0x3fef8dc092d58ff8 + .quad 0x3fd9dd0d2b721f39, 0x3fef5f0cdaf15313 + .quad 0x3fda5a2aca209394, 0x3fef2fa4c16c0019 + .quad 0x3fdad68966569a87, 0x3feeff8c4b1375db + .quad 0x3fdb522646bbda68, 0x3feecec7870ebca8 + .quad 0x3fdbccfec24855b8, 0x3fee9d5a8e4c934e + .quad 0x3fdc4710406a65fc, 0x3fee6b4982f158b9 + .quad 0x3fdcc058392a6d2d, 0x3fee38988fc46e72 + .quad 0x3fdd38d4354c3bd0, 0x3fee054be79d3042 + .quad 0x3fddb081ce6e2a48, 0x3fedd167c4cf9d2a + .quad 0x3fde275eaf25e458, 0x3fed9cf06898cdaf + .quad 0x3fde9d68931ae650, 0x3fed67ea1a8b5368 + .quad 0x3fdf129d471eabb1, 0x3fed325927fb9d89 + .quad 0x3fdf86faa9428f9d, 0x3fecfc41e36c7df9 + .quad 0x3fdffa7ea8eb5fd0, 0x3fecc5a8a3fbea40 + .quad 0x3fe03693a371519c, 0x3fec8e91c4d01368 + .quad 0x3fe06f794ab2cae7, 0x3fec5701a484ef9d + .quad 0x3fe0a7ef5c18edd2, 0x3fec1efca49a5011 + .quad 0x3fe0dff4f247f6c6, 0x3febe68728e29d5e + .quad 0x3fe1178930ada115, 0x3febada596f25436 + .quad 0x3fe14eab43841b55, 0x3feb745c55905bf8 + .quad 0x3fe1855a5fd3dd50, 0x3feb3aafcc27502e + .quad 0x3fe1bb95c3746199, 0x3feb00a46237d5be + .quad 0x3fe1f15cb50bc4de, 0x3feac63e7ecc1411 + .quad 0x3fe226ae840d4d70, 0x3fea8b8287ec6a09 + .quad 0x3fe25b8a88b6dd7f, 0x3fea5074e2157620 + .quad 0x3fe28ff0240d52cd, 0x3fea1519efaf889e + .quad 0x3fe2c3debfd7d6c1, 0x3fe9d97610879642 + .quad 0x3fe2f755ce9a21f4, 0x3fe99d8da149c13f + .quad 0x3fe32a54cb8db67b, 0x3fe96164fafd8de3 + .quad 0x3fe35cdb3a9a144d, 0x3fe925007283d7aa + .quad 0x3fe38ee8a84beb71, 0x3fe8e86458169af8 + .quad 0x3fe3c07ca9cb4f9e, 0x3fe8ab94f6caa71d + .quad 0x3fe3f196dcd0f135, 0x3fe86e9694134b9e + .quad 0x3fe42236e79a5fa6, 0x3fe8316d6f48133d + .quad 0x3fe4525c78dd5966, 0x3fe7f41dc12c9e89 + .quad 0x3fe4820747ba2dc2, 0x3fe7b6abbb7aaf19 + .quad 0x3fe4b13713ad3513, 0x3fe7791b886e7403 + .quad 0x3fe4dfeba47f63cc, 0x3fe73b714a552763 + .quad 0x3fe50e24ca35fd2c, 0x3fe6fdb11b1e0c34 + .quad 0x3fe53be25d016a4f, 0x3fe6bfdf0beddaf5 + .quad 0x3fe569243d2b3a9b, 0x3fe681ff24b4ab04 + .quad 0x3fe595ea53035283, 0x3fe6441563c665d4 + .quad 0x3fe5c2348ecc4dc3, 0x3fe60625bd75d07b + .quad 0x3fe5ee02e8a71a53, 0x3fe5c8341bb23767 + .quad 0x3fe61955607dd15d, 0x3fe58a445da7c74c + .quad 0x3fe6442bfdedd397, 0x3fe54c5a57629db0 + .quad 0x3fe66e86d0312e82, 0x3fe50e79d1749ac9 + .quad 0x3fe69865ee075011, 0x3fe4d0a6889dfd9f + .quad 0x3fe6c1c9759d0e5f, 0x3fe492e42d78d2c5 + .quad 0x3fe6eab18c74091b, 0x3fe4553664273d24 + .quad 0x3fe7131e5f496a5a, 0x3fe417a0c4049fd0 + .quad 0x3fe73b1021fc0cb8, 0x3fe3da26d759aef5 + .quad 0x3fe762870f720c6f, 0x3fe39ccc1b136d5a + .quad 0x3fe78983697dc96f, 0x3fe35f93fe7d1b3d + .quad 0x3fe7b00578c26037, 0x3fe32281e2fd1a92 + .quad 0x3fe7d60d8c979f7b, 0x3fe2e5991bd4cbfc + .quad 0x3fe7fb9bfaed8078, 0x3fe2a8dcede3673b + .quad 0x3fe820b1202f27fb, 0x3fe26c508f6bd0ff + .quad 0x3fe8454d5f25760d, 0x3fe22ff727dd6f7b + .quad 0x3fe8697120d92a4a, 0x3fe1f3d3cf9ffe5a + .quad 0x3fe88d1cd474a2e0, 0x3fe1b7e98fe26217 + .quad 0x3fe8b050ef253c37, 0x3fe17c3b626c7a12 + .quad 0x3fe8d30debfc572e, 0x3fe140cc3173f007 + .quad 0x3fe8f5544bd00c04, 0x3fe1059ed7740313 + .quad 0x3fe91724951b8fc6, 0x3fe0cab61f084b93 + .quad 0x3fe9387f53df5238, 0x3fe09014c2ca74da + .quad 0x3fe959651980da31, 0x3fe055bd6d32e8d7 + .quad 0x3fe979d67caa6631, 0x3fe01bb2b87c6968 + .quad 0x3fe999d4192a5715, 0x3fdfc3ee5d1524b0 + .quad 0x3fe9b95e8fd26aba, 0x3fdf511a91a67d2a + .quad 0x3fe9d8768656cc42, 0x3fdedeeee0959518 + .quad 0x3fe9f71ca72cffb6, 0x3fde6d6ffaa65a25 + .quad 0x3fea1551a16aaeaf, 0x3fddfca26f5bbf88 + .quad 0x3fea331628a45b92, 0x3fdd8c8aace11e63 + .quad 0x3fea506af4cc00f4, 0x3fdd1d2cfff91594 + .quad 0x3fea6d50c20fa293, 0x3fdcae8d93f1d7b7 + .quad 0x3fea89c850b7d54d, 0x3fdc40b0729ed548 + .quad 0x3feaa5d265064366, 0x3fdbd3998457afdb + .quad 0x3feac16fc7143263, 0x3fdb674c8ffc6283 + .quad 0x3feadca142b10f98, 0x3fdafbcd3afe8ab6 + .quad 0x3feaf767a741088b, 0x3fda911f096fbc26 + .quad 0x3feb11c3c79bb424, 0x3fda27455e14c93c + .quad 0x3feb2bb679ead19c, 0x3fd9be437a7de946 + .quad 0x3feb4540978921ee, 0x3fd9561c7f23a47b + .quad 0x3feb5e62fce16095, 0x3fd8eed36b886d93 + .quad 0x3feb771e894d602e, 0x3fd8886b1e5ecfd1 + .quad 0x3feb8f741ef54f83, 0x3fd822e655b417e7 + .quad 0x3feba764a2af2b78, 0x3fd7be47af1f5d89 + .quad 0x3febbef0fbde6221, 0x3fd75a91a7f4d2ed + .quad 0x3febd61a1453ab44, 0x3fd6f7c69d7d3ef8 + .quad 0x3febece0d82d1a5c, 0x3fd695e8cd31867e + .quad 0x3fec034635b66e23, 0x3fd634fa54fa285f + .quad 0x3fec194b1d49a184, 0x3fd5d4fd33729015 + .quad 0x3fec2ef0812fc1bd, 0x3fd575f3483021c3 + .quad 0x3fec443755820d64, 0x3fd517de540ce2a3 + .quad 0x3fec5920900b5fd1, 0x3fd4babff975a04c + .quad 0x3fec6dad2829ec62, 0x3fd45e99bcbb7915 + .quad 0x3fec81de16b14cef, 0x3fd4036d0468a7a2 + .quad 0x3fec95b455cce69d, 0x3fd3a93b1998736c + .quad 0x3feca930e0e2a825, 0x3fd35005285227f1 + .quad 0x3fecbc54b476248d, 0x3fd2f7cc3fe6f423 + .quad 0x3feccf20ce0c0d27, 0x3fd2a09153529381 + .quad 0x3fece1962c0e0d8b, 0x3fd24a55399ea239 + .quad 0x3fecf3b5cdaf0c39, 0x3fd1f518ae487dc8 + .quad 0x3fed0580b2cfd249, 0x3fd1a0dc51a9934d + .quad 0x3fed16f7dbe41ca0, 0x3fd14da0a961fd14 + .quad 0x3fed281c49d818d0, 0x3fd0fb6620c550af + .quad 0x3fed38eefdf64fdd, 0x3fd0aa2d09497f2b + .quad 0x3fed4970f9ce00d9, 0x3fd059f59af7a906 + .quad 0x3fed59a33f19ed42, 0x3fd00abff4dec7a3 + .quad 0x3fed6986cfa798e7, 0x3fcf79183b101c5b + .quad 0x3fed791cad3eff01, 0x3fcedeb406d9c825 + .quad 0x3fed8865d98abe01, 0x3fce4652fadcb6b2 + .quad 0x3fed97635600bb89, 0x3fcdaff4969c0b04 + .quad 0x3feda61623cb41e0, 0x3fcd1b982c501370 + .quad 0x3fedb47f43b2980d, 0x3fcc893ce1dcbef7 + .quad 0x3fedc29fb60715af, 0x3fcbf8e1b1ca2279 + .quad 0x3fedd0787a8bb39d, 0x3fcb6a856c3ed54f + .quad 0x3fedde0a90611a0d, 0x3fcade26b7fbed95 + .quad 0x3fedeb56f5f12d28, 0x3fca53c4135a6526 + .quad 0x3fedf85ea8db188e, 0x3fc9cb5bd549b111 + .quad 0x3fee0522a5dfda73, 0x3fc944ec2e4f5630 + .quad 0x3fee11a3e8cf4eb8, 0x3fc8c07329874652 + .quad 0x3fee1de36c75ba58, 0x3fc83deeada4d25a + .quad 0x3fee29e22a89d766, 0x3fc7bd5c7df3fe9c + .quad 0x3fee35a11b9b61ce, 0x3fc73eba3b5b07b7 + .quad 0x3fee4121370224cc, 0x3fc6c205655be720 + .quad 0x3fee4c6372cd8927, 0x3fc6473b5b15a7a1 + .quad 0x3fee5768c3b4a3fc, 0x3fc5ce595c455b0a + .quad 0x3fee62321d06c5e0, 0x3fc5575c8a468362 + .quad 0x3fee6cc0709c8a0d, 0x3fc4e241e912c305 + .quad 0x3fee7714aec96534, 0x3fc46f066040a832 + .quad 0x3fee812fc64db369, 0x3fc3fda6bc016994 + .quad 0x3fee8b12a44944a8, 0x3fc38e1fae1d6a9d + .quad 0x3fee94be342e6743, 0x3fc3206dceef5f87 + .quad 0x3fee9e335fb56f87, 0x3fc2b48d9e5dea1c + .quad 0x3feea7730ed0bbb9, 0x3fc24a7b84d38971 + .quad 0x3feeb07e27a133aa, 0x3fc1e233d434b813 + .quad 0x3feeb9558e6b42ce, 0x3fc17bb2c8d41535 + .quad 0x3feec1fa258c4bea, 0x3fc116f48a6476cc + .quad 0x3feeca6ccd709544, 0x3fc0b3f52ce8c383 + .quad 0x3feed2ae6489ac1e, 0x3fc052b0b1a174ea + .quad 0x3feedabfc7453e63, 0x3fbfe6460fef4680 + .quad 0x3feee2a1d004692c, 0x3fbf2a901ccafb37 + .quad 0x3feeea5557137ae0, 0x3fbe723726b824a9 + .quad 0x3feef1db32a2277c, 0x3fbdbd32ac4c99b0 + .quad 0x3feef93436bc2daa, 0x3fbd0b7a0f921e7c + .quad 0x3fef006135426b26, 0x3fbc5d0497c09e74 + .quad 0x3fef0762fde45ee6, 0x3fbbb1c972f23e50 + .quad 0x3fef0e3a5e1a1788, 0x3fbb09bfb7d11a84 + .quad 0x3fef14e8211e8c55, 0x3fba64de673e8837 + .quad 0x3fef1b6d0fea5f4d, 0x3fb9c31c6df3b1b8 + .quad 0x3fef21c9f12f0677, 0x3fb92470a61b6965 + .quad 0x3fef27ff89525acf, 0x3fb888d1d8e510a3 + .quad 0x3fef2e0e9a6a8b09, 0x3fb7f036c0107294 + .quad 0x3fef33f7e43a706b, 0x3fb75a96077274ba + .quad 0x3fef39bc242e43e6, 0x3fb6c7e64e7281cb + .quad 0x3fef3f5c1558b19e, 0x3fb6381e2980956b + .quad 0x3fef44d870704911, 0x3fb5ab342383d178 + .quad 0x3fef4a31ebcd47df, 0x3fb5211ebf41880b + .quad 0x3fef4f693b67bd77, 0x3fb499d478bca735 + .quad 0x3fef547f10d60597, 0x3fb4154bc68d75c3 + .quad 0x3fef59741b4b97cf, 0x3fb3937b1b31925a + .quad 0x3fef5e4907982a07, 0x3fb31458e6542847 + .quad 0x3fef62fe80272419, 0x3fb297db960e4f63 + .quad 0x3fef67952cff6282, 0x3fb21df9981f8e53 + .quad 0x3fef6c0db3c34641, 0x3fb1a6a95b1e786f + .quad 0x3fef7068b7b10fd9, 0x3fb131e14fa1625d + .quad 0x3fef74a6d9a38383, 0x3fb0bf97e95f2a64 + .quad 0x3fef78c8b812d498, 0x3fb04fc3a0481321 + .quad 0x3fef7cceef15d631, 0x3fafc4b5e32d6259 + .quad 0x3fef80ba18636f07, 0x3faeeea8c1b1db94 + .quad 0x3fef848acb544e95, 0x3fae1d4cf1e2450a + .quad 0x3fef88419ce4e184, 0x3fad508f9a1ea64f + .quad 0x3fef8bdf1fb78370, 0x3fac885df3451a07 + .quad 0x3fef8f63e416ebff, 0x3fabc4a54a84e834 + .quad 0x3fef92d077f8d56d, 0x3fab055303221015 + .quad 0x3fef96256700da8e, 0x3faa4a549829587e + .quad 0x3fef99633a838a57, 0x3fa993979e14fffe + .quad 0x3fef9c8a7989af0d, 0x3fa8e109c4622913 + .quad 0x3fef9f9ba8d3c733, 0x3fa83298d717210e + .quad 0x3fefa2974addae45, 0x3fa78832c03aa2b1 + .quad 0x3fefa57ddfe27376, 0x3fa6e1c5893c380b + .quad 0x3fefa84fe5e05c8d, 0x3fa63f3f5c4de13b + .quad 0x3fefab0dd89d1309, 0x3fa5a08e85af27e0 + .quad 0x3fefadb831a9f9c3, 0x3fa505a174e9c929 + .quad 0x3fefb04f6868a944, 0x3fa46e66be002240 + .quad 0x3fefb2d3f20f9101, 0x3fa3dacd1a8d8cce + .quad 0x3fefb54641aebbc9, 0x3fa34ac36ad8dafe + .quad 0x3fefb7a6c834b5a2, 0x3fa2be38b6d92415 + .quad 0x3fefb9f5f4739170, 0x3fa2351c2f2d1449 + .quad 0x3fefbc3433260ca5, 0x3fa1af5d2e04f3f6 + .quad 0x3fefbe61eef4cf6a, 0x3fa12ceb37ff9bc3 + .quad 0x3fefc07f907bc794, 0x3fa0adb5fcfa8c75 + .quad 0x3fefc28d7e4f9cd0, 0x3fa031ad58d56279 + .quad 0x3fefc48c1d033c7a, 0x3f9f7182a851bca2 + .quad 0x3fefc67bcf2d7b8f, 0x3f9e85c449e377f3 + .quad 0x3fefc85cf56ecd38, 0x3f9da0005e5f28df + .quad 0x3fefca2fee770c79, 0x3f9cc0180af00a8b + .quad 0x3fefcbf5170b578b, 0x3f9be5ecd2fcb5f9 + .quad 0x3fefcdacca0bfb73, 0x3f9b1160991ff737 + .quad 0x3fefcf57607a6e7c, 0x3f9a4255a00b9f03 + .quad 0x3fefd0f5317f582f, 0x3f9978ae8b55ce1b + .quad 0x3fefd2869270a56f, 0x3f98b44e6031383e + .quad 0x3fefd40bd6d7a785, 0x3f97f5188610ddc8 + .quad 0x3fefd58550773cb5, 0x3f973af0c737bb45 + .quad 0x3fefd6f34f52013a, 0x3f9685bb5134ef13 + .quad 0x3fefd85621b0876d, 0x3f95d55cb54cd53a + .quad 0x3fefd9ae142795e3, 0x3f9529b9e8cf9a1e + .quad 0x3fefdafb719e6a69, 0x3f9482b8455dc491 + .quad 0x3fefdc3e835500b3, 0x3f93e03d891b37de + .quad 0x3fefdd7790ea5bc0, 0x3f93422fd6d12e2b + .quad 0x3fefdea6e062d0c9, 0x3f92a875b5ffab56 + .quad 0x3fefdfccb62e52d3, 0x3f9212f612dee7fb + .quad 0x3fefe0e9552ebdd6, 0x3f9181983e5133dd + .quad 0x3fefe1fcfebe2083, 0x3f90f443edc5ce49 + .quad 0x3fefe307f2b503d0, 0x3f906ae13b0d3255 + .quad 0x3fefe40a6f70af4b, 0x3f8fcab1483ea7fc + .quad 0x3fefe504b1d9696c, 0x3f8ec72615a894c4 + .quad 0x3fefe5f6f568b301, 0x3f8dcaf3691fc448 + .quad 0x3fefe6e1742f7cf6, 0x3f8cd5ec93c12432 + .quad 0x3fefe7c466dc57a1, 0x3f8be7e5ac24963b + .quad 0x3fefe8a004c19ae6, 0x3f8b00b38d6b3575 + .quad 0x3fefe97483db8670, 0x3f8a202bd6372dce + .quad 0x3fefea4218d6594a, 0x3f894624e78e0faf + .quad 0x3fefeb08f7146046, 0x3f887275e3a6869e + .quad 0x3fefebc950b3fa75, 0x3f87a4f6aca256cb + .quad 0x3fefec835695932e, 0x3f86dd7fe3358230 + .quad 0x3fefed37386190fb, 0x3f861beae53b72b7 + .quad 0x3fefede5248e38f4, 0x3f856011cc3b036d + .quad 0x3fefee8d486585ee, 0x3f84a9cf6bda3f4c + .quad 0x3fefef2fd00af31a, 0x3f83f8ff5042a88e + .quad 0x3fefefcce6813974, 0x3f834d7dbc76d7e5 + .quad 0x3feff064b5afffbe, 0x3f82a727a89a3f14 + .quad 0x3feff0f766697c76, 0x3f8205dac02bd6b9 + .quad 0x3feff18520700971, 0x3f81697560347b26 + .quad 0x3feff20e0a7ba8c2, 0x3f80d1d69569b82d + .quad 0x3feff2924a3f7a83, 0x3f803ede1a45bfee + .quad 0x3feff312046f2339, 0x3f7f60d8aa2a88f2 + .quad 0x3feff38d5cc4227f, 0x3f7e4cc4abf7d065 + .quad 0x3feff404760319b4, 0x3f7d4143a9dfe965 + .quad 0x3feff47772010262, 0x3f7c3e1a5f5c077c + .quad 0x3feff4e671a85425, 0x3f7b430ecf4a83a8 + .quad 0x3feff55194fe19df, 0x3f7a4fe83fb9db25 + .quad 0x3feff5b8fb26f5f6, 0x3f79646f35a76624 + .quad 0x3feff61cc26c1578, 0x3f78806d70b2fc36 + .quad 0x3feff67d08401202, 0x3f77a3ade6c8b3e5 + .quad 0x3feff6d9e943c231, 0x3f76cdfcbfc1e263 + .quad 0x3feff733814af88c, 0x3f75ff2750fe7820 + .quad 0x3feff789eb6130c9, 0x3f7536fc18f7ce5c + .quad 0x3feff7dd41ce2b4d, 0x3f74754abacdf1dc + .quad 0x3feff82d9e1a76d8, 0x3f73b9e3f9d06e3f + .quad 0x3feff87b1913e853, 0x3f730499b503957f + .quad 0x3feff8c5cad200a5, 0x3f72553ee2a336bf + .quad 0x3feff90dcaba4096, 0x3f71aba78ba3af89 + .quad 0x3feff9532f846ab0, 0x3f7107a8c7323a6e + .quad 0x3feff9960f3eb327, 0x3f706918b6355624 + .quad 0x3feff9d67f51ddba, 0x3f6f9f9cfd9c3035 + .quad 0x3feffa14948549a7, 0x3f6e77448fb66bb9 + .quad 0x3feffa506302ebae, 0x3f6d58da68fd1170 + .quad 0x3feffa89fe5b3625, 0x3f6c4412bf4b8f0b + .quad 0x3feffac17988ef4b, 0x3f6b38a3af2e55b4 + .quad 0x3feffaf6e6f4f5c0, 0x3f6a3645330550ff + .quad 0x3feffb2a5879f35e, 0x3f693cb11a30d765 + .quad 0x3feffb5bdf67fe6f, 0x3f684ba3004a50d0 + .quad 0x3feffb8b8c88295f, 0x3f6762d84469c18f + .quad 0x3feffbb970200110, 0x3f66821000795a03 + .quad 0x3feffbe599f4f9d9, 0x3f65a90b00981d93 + .quad 0x3feffc10194fcb64, 0x3f64d78bba8ca5fd + .quad 0x3feffc38fcffbb7c, 0x3f640d564548fad7 + .quad 0x3feffc60535dd7f5, 0x3f634a305080681f + .quad 0x3feffc862a501fd7, 0x3f628de11c5031eb + .quad 0x3feffcaa8f4c9bea, 0x3f61d83170fbf6fb + .quad 0x3feffccd8f5c66d1, 0x3f6128eb96be8798 + .quad 0x3feffcef371ea4d7, 0x3f607fdb4dafea5f + .quad 0x3feffd0f92cb6ba7, 0x3f5fb99b8b8279e1 + .quad 0x3feffd2eae369a07, 0x3f5e7f232d9e2630 + .quad 0x3feffd4c94d29fdb, 0x3f5d4fed7195d7e8 + .quad 0x3feffd6951b33686, 0x3f5c2b9cf7f893bf + .quad 0x3feffd84ef9009ee, 0x3f5b11d702b3deb2 + .quad 0x3feffd9f78c7524a, 0x3f5a024365f771bd + .quad 0x3feffdb8f7605ee7, 0x3f58fc8c794b03b5 + .quad 0x3feffdd1750e1220, 0x3f58005f08d6f1ef + .quad 0x3feffde8fb314ebf, 0x3f570d6a46e07dda + .quad 0x3feffdff92db56e5, 0x3f56235fbd7a4345 + .quad 0x3feffe1544d01ccb, 0x3f5541f340697987 + .quad 0x3feffe2a1988857c, 0x3f5468dadf4080ab + .quad 0x3feffe3e19349dc7, 0x3f5397ced7af2b15 + .quad 0x3feffe514bbdc197, 0x3f52ce898809244e + .quad 0x3feffe63b8c8b5f7, 0x3f520cc76202c5fb + .quad 0x3feffe7567b7b5e1, 0x3f515246dda49d47 + .quad 0x3feffe865fac722b, 0x3f509ec86c75d497 + .quad 0x3feffe96a78a04a9, 0x3f4fe41cd9bb4eee + .quad 0x3feffea645f6d6da, 0x3f4e97ba3b77f306 + .quad 0x3feffeb5415e7c44, 0x3f4d57f524723822 + .quad 0x3feffec39ff380b9, 0x3f4c245d4b99847a + .quad 0x3feffed167b12ac2, 0x3f4afc85e0f82e12 + .quad 0x3feffede9e5d3262, 0x3f49e005769dbc1d + .quad 0x3feffeeb49896c6d, 0x3f48ce75e9f6f8a0 + .quad 0x3feffef76e956a9f, 0x3f47c7744d9378f7 + .quad 0x3fefff0312b010b5, 0x3f46caa0d3582fe9 + .quad 0x3fefff0e3ad91ec2, 0x3f45d79eb71e893b + .quad 0x3fefff18ebe2b0e1, 0x3f44ee1429bf7cc0 + .quad 0x3fefff232a72b48e, 0x3f440daa3c89f5b6 + .quad 0x3fefff2cfb0453d9, 0x3f43360ccd23db3a + .quad 0x3fefff3661e9569d, 0x3f4266ea71d4f71a + .quad 0x3fefff3f634b79f9, 0x3f419ff4663ae9df + .quad 0x3fefff48032dbe40, 0x3f40e0de78654d1e + .quad 0x3fefff50456dab8c, 0x3f40295ef6591848 + .quad 0x3fefff582dc48d30, 0x3f3ef25d37f49fe1 + .quad 0x3fefff5fbfc8a439, 0x3f3da01102b5f851 + .quad 0x3fefff66feee5129, 0x3f3c5b5412dcafad + .quad 0x3fefff6dee89352e, 0x3f3b23a5a23e4210 + .quad 0x3fefff7491cd4af6, 0x3f39f8893d8fd1c1 + .quad 0x3fefff7aebcff755, 0x3f38d986a4187285 + .quad 0x3fefff80ff8911fd, 0x3f37c629a822bc9e + .quad 0x3fefff86cfd3e657, 0x3f36be02102b3520 + .quad 0x3fefff8c5f702ccf, 0x3f35c0a378c90bca + .quad 0x3fefff91b102fca8, 0x3f34cda5374ea275 + .quad 0x3fefff96c717b695, 0x3f33e4a23d1f4703 + .quad 0x3fefff9ba420e834, 0x3f330538fbb77ecd + .quad 0x3fefffa04a7928b1, 0x3f322f0b496539be + .quad 0x3fefffa4bc63ee9a, 0x3f3161be46ad3b50 + .quad 0x3fefffa8fc0e5f33, 0x3f309cfa445b00ff + .quad 0x3fefffad0b901755, 0x3f2fc0d55470cf51 + .quad 0x3fefffb0ecebee1b, 0x3f2e577bbcd49935 + .quad 0x3fefffb4a210b172, 0x3f2cfd4a5adec5c0 + .quad 0x3fefffb82cd9dcbf, 0x3f2bb1a9657ce465 + .quad 0x3fefffbb8f1049c6, 0x3f2a740684026555 + .quad 0x3fefffbeca6adbe9, 0x3f2943d4a1d1ed39 + .quad 0x3fefffc1e08f25f5, 0x3f28208bc334a6a5 + .quad 0x3fefffc4d3120aa1, 0x3f2709a8db59f25c + .quad 0x3fefffc7a37857d2, 0x3f25feada379d8b7 + .quad 0x3fefffca53375ce3, 0x3f24ff207314a102 + .quad 0x3fefffcce3b57bff, 0x3f240a8c1949f75e + .quad 0x3fefffcf564ab6b7, 0x3f23207fb7420eb9 + .quad 0x3fefffd1ac4135f9, 0x3f22408e9ba3327f + .quad 0x3fefffd3e6d5cd87, 0x3f216a501f0e42ca + .quad 0x3fefffd607387b07, 0x3f209d5f819c9e29 + .quad 0x3fefffd80e8ce0da, 0x3f1fb2b792b40a22 + .quad 0x3fefffd9fdeabcce, 0x3f1e3bcf436a1a95 + .quad 0x3fefffdbd65e5ad0, 0x3f1cd55277c18d05 + .quad 0x3fefffdd98e903b2, 0x3f1b7e94604479dc + .quad 0x3fefffdf46816833, 0x3f1a36eec00926dd + .quad 0x3fefffe0e0140857, 0x3f18fdc1b2dcf7b9 + .quad 0x3fefffe26683972a, 0x3f17d2737527c3f9 + .quad 0x3fefffe3daa95b18, 0x3f16b4702d7d5849 + .quad 0x3fefffe53d558ae9, 0x3f15a329b7d30748 + .quad 0x3fefffe68f4fa777, 0x3f149e17724f4d41 + .quad 0x3fefffe7d156d244, 0x3f13a4b60ba9aa4e + .quad 0x3fefffe904222101, 0x3f12b6875310f785 + .quad 0x3fefffea2860ee1e, 0x3f11d312098e9dba + .quad 0x3fefffeb3ebb267b, 0x3f10f9e1b4dd36df + .quad 0x3fefffec47d19457, 0x3f102a8673a94692 + .quad 0x3fefffed443e2787, 0x3f0ec929a665b449 + .quad 0x3fefffee34943b15, 0x3f0d4f4b4c8e09ed + .quad 0x3fefffef1960d85d, 0x3f0be6abbb10a5aa + .quad 0x3fefffeff32af7af, 0x3f0a8e8cc1fadef6 + .quad 0x3feffff0c273bea2, 0x3f094637d5bacfdb + .quad 0x3feffff187b6bc0e, 0x3f080cfdc72220cf + .quad 0x3feffff2436a21dc, 0x3f06e2367dc27f95 + .quad 0x3feffff2f5fefcaa, 0x3f05c540b4936fd2 + .quad 0x3feffff39fe16963, 0x3f04b581b8d170fc + .quad 0x3feffff44178c8d2, 0x3f03b2652b06c2b2 + .quad 0x3feffff4db27f146, 0x3f02bb5cc22e5db6 + .quad 0x3feffff56d4d5e5e, 0x3f01cfe010e2052d + .quad 0x3feffff5f8435efc, 0x3f00ef6c4c84a0fe + .quad 0x3feffff67c604180, 0x3f001984165a5f36 + .quad 0x3feffff6f9f67e55, 0x3efe9b5e8d00ce77 + .quad 0x3feffff77154e0d6, 0x3efd16f5716c6c1a + .quad 0x3feffff7e2c6aea2, 0x3efba4f035d60e03 + .quad 0x3feffff84e93cd75, 0x3efa447b7b03f045 + .quad 0x3feffff8b500e77c, 0x3ef8f4ccca7fc90d + .quad 0x3feffff9164f8e46, 0x3ef7b5223dac7336 + .quad 0x3feffff972be5c59, 0x3ef684c227fcacef + .quad 0x3feffff9ca891572, 0x3ef562fac4329b48 + .quad 0x3feffffa1de8c582, 0x3ef44f21e49054f2 + .quad 0x3feffffa6d13de73, 0x3ef34894a5e24657 + .quad 0x3feffffab83e54b8, 0x3ef24eb7254ccf83 + .quad 0x3feffffaff99bac4, 0x3ef160f438c70913 + .quad 0x3feffffb43555b5f, 0x3ef07ebd2a2d2844 + .quad 0x3feffffb839e52f3, 0x3eef4f12e9ab070a + .quad 0x3feffffbc09fa7cd, 0x3eedb5ad0b27805c + .quad 0x3feffffbfa82616b, 0x3eec304efa2c6f4e + .quad 0x3feffffc316d9ed0, 0x3eeabe09e9144b5e + .quad 0x3feffffc6586abf6, 0x3ee95df988e76644 + .quad 0x3feffffc96f1165e, 0x3ee80f439b4ee04b + .quad 0x3feffffcc5cec0c1, 0x3ee6d11788a69c64 + .quad 0x3feffffcf23ff5fc, 0x3ee5a2adfa0b4bc4 + .quad 0x3feffffd1c637b2b, 0x3ee4834877429b8f + .quad 0x3feffffd4456a10d, 0x3ee37231085c7d9a + .quad 0x3feffffd6a3554a1, 0x3ee26eb9daed6f7e + .quad 0x3feffffd8e1a2f22, 0x3ee1783ceac28910 + .quad 0x3feffffdb01e8546, 0x3ee08e1badf0fced + .quad 0x3feffffdd05a75ea, 0x3edf5f7d88472604 + .quad 0x3feffffdeee4f810, 0x3eddb92b5212fb8d + .quad 0x3feffffe0bd3e852, 0x3edc282cd3957eda + .quad 0x3feffffe273c15b7, 0x3edaab7abace48dc + .quad 0x3feffffe41314e06, 0x3ed94219bfcb4928 + .quad 0x3feffffe59c6698b, 0x3ed7eb1a2075864e + .quad 0x3feffffe710d565e, 0x3ed6a597219a93da + .quad 0x3feffffe8717232d, 0x3ed570b69502f313 + .quad 0x3feffffe9bf4098c, 0x3ed44ba864670882 + .quad 0x3feffffeafb377d5, 0x3ed335a62115bce2 + .quad 0x3feffffec2641a9e, 0x3ed22df298214423 + .quad 0x3feffffed413e5b7, 0x3ed133d96ae7e0dd + .quad 0x3feffffee4d01cd6, 0x3ed046aeabcfcdec + .quad 0x3feffffef4a55bd4, 0x3ececb9cfe1d8642 + .quad 0x3fefffff039f9e8f, 0x3ecd21397ead99cb + .quad 0x3fefffff11ca4876, 0x3ecb8d094c86d374 + .quad 0x3fefffff1f302bc1, 0x3eca0df0f0c626dc + .quad 0x3fefffff2bdb904d, 0x3ec8a2e269750a39 + .quad 0x3fefffff37d63a36, 0x3ec74adc8f4064d3 + .quad 0x3fefffff43297019, 0x3ec604ea819f007c + .quad 0x3fefffff4dde0118, 0x3ec4d0231928c6f9 + .quad 0x3fefffff57fc4a95, 0x3ec3aba85fe22e20 + .quad 0x3fefffff618c3da6, 0x3ec296a70f414053 + .quad 0x3fefffff6a956450, 0x3ec1905613b3abf2 + .quad 0x3fefffff731ee681, 0x3ec097f6156f32c5 + .quad 0x3fefffff7b2f8ed6, 0x3ebf59a20caf6695 + .quad 0x3fefffff82cdcf1b, 0x3ebd9c73698fb1dc + .quad 0x3fefffff89ffc4aa, 0x3ebbf716c6168bae + .quad 0x3fefffff90cb3c81, 0x3eba6852c6b58392 + .quad 0x3fefffff9735b73b, 0x3eb8eefd70594a89 + .quad 0x3fefffff9d446ccc, 0x3eb789fb715aae95 + .quad 0x3fefffffa2fc5015, 0x3eb6383f726a8e04 + .quad 0x3fefffffa8621251, 0x3eb4f8c96f26a26a + .quad 0x3fefffffad7a2652, 0x3eb3caa61607f920 + .quad 0x3fefffffb248c39d, 0x3eb2acee2f5ecdb8 + .quad 0x3fefffffb6d1e95d, 0x3eb19ec60b1242ed + .quad 0x3fefffffbb196132, 0x3eb09f5cf4dd2877 + .quad 0x3fefffffbf22c1e2, 0x3eaf5bd95d8730d8 + .quad 0x3fefffffc2f171e3, 0x3ead9371e2ff7c35 + .quad 0x3fefffffc688a9cf, 0x3eabe41de54d155a + .quad 0x3fefffffc9eb76ac, 0x3eaa4c89e08ef4f3 + .quad 0x3fefffffcd1cbc28, 0x3ea8cb738399b12c + .quad 0x3fefffffd01f36af, 0x3ea75fa8dbc84bec + .quad 0x3fefffffd2f57d68, 0x3ea608078a70dcbc + .quad 0x3fefffffd5a2041f, 0x3ea4c37c0394d094 + .quad 0x3fefffffd8271d12, 0x3ea39100d5687bfe + .quad 0x3fefffffda86faa9, 0x3ea26f9df8519bd7 + .quad 0x3fefffffdcc3b117, 0x3ea15e6827001f18 + .quad 0x3fefffffdedf37ed, 0x3ea05c803e4831c1 + .quad 0x3fefffffe0db6b91, 0x3e9ed22548cffd35 + .quad 0x3fefffffe2ba0ea5, 0x3e9d06ad6ecdf971 + .quad 0x3fefffffe47ccb60, 0x3e9b551c847fbc96 + .quad 0x3fefffffe62534d4, 0x3e99bc09f112b494 + .quad 0x3fefffffe7b4c81e, 0x3e983a1ff0aa239d + .quad 0x3fefffffe92ced93, 0x3e96ce1aa3fd7bdd + .quad 0x3fefffffea8ef9cf, 0x3e9576c72b514859 + .quad 0x3fefffffebdc2ec6, 0x3e943302cc4a0da8 + .quad 0x3fefffffed15bcba, 0x3e9301ba221dc9bb + .quad 0x3fefffffee3cc32c, 0x3e91e1e857adc568 + .quad 0x3fefffffef5251c2, 0x3e90d2966b1746f7 + .quad 0x3feffffff0576917, 0x3e8fa5b4f49cc6b2 + .quad 0x3feffffff14cfb92, 0x3e8dc3ae30b55c16 + .quad 0x3feffffff233ee1d, 0x3e8bfd7555a3bd68 + .quad 0x3feffffff30d18e8, 0x3e8a517d9e61628a + .quad 0x3feffffff3d9480f, 0x3e88be4f8f6c951f + .quad 0x3feffffff4993c46, 0x3e874287ded49339 + .quad 0x3feffffff54dab72, 0x3e85dcd669f2cd34 + .quad 0x3feffffff5f74141, 0x3e848bfd38302871 + .quad 0x3feffffff6969fb8, 0x3e834ecf8a3c124a + .quad 0x3feffffff72c5fb6, 0x3e822430f521cbcf + .quad 0x3feffffff7b91176, 0x3e810b1488aeb235 + .quad 0x3feffffff83d3d07, 0x3e80027c00a263a6 + .quad 0x3feffffff8b962be, 0x3e7e12ee004efc37 + .quad 0x3feffffff92dfba2, 0x3e7c3e44ae32b16b + .quad 0x3feffffff99b79d2, 0x3e7a854ea14102a8 + .quad 0x3feffffffa0248e8, 0x3e78e6761569f45d + .quad 0x3feffffffa62ce54, 0x3e77603bac345f65 + .quad 0x3feffffffabd69b4, 0x3e75f1353cdad001 + .quad 0x3feffffffb127525, 0x3e74980cb3c80949 + .quad 0x3feffffffb624592, 0x3e73537f00b6ad4d + .quad 0x3feffffffbad2aff, 0x3e72225b12bffc68 + .quad 0x3feffffffbf370cd, 0x3e710380e1adb7e9 + .quad 0x3feffffffc355dfd, 0x3e6febc107d5efaa + .quad 0x3feffffffc733572, 0x3e6df0f2a0ee6947 + .quad 0x3feffffffcad3626, 0x3e6c14b2188bcee4 + .quad 0x3feffffffce39b67, 0x3e6a553644f7f07d + .quad 0x3feffffffd169d0c, 0x3e68b0cfce0579e0 + .quad 0x3feffffffd466fa5, 0x3e6725e7c5dd20f7 + .quad 0x3feffffffd7344aa, 0x3e65b2fe547a1340 + .quad 0x3feffffffd9d4aab, 0x3e6456a974e92e93 + .quad 0x3feffffffdc4ad7a, 0x3e630f93c3699078 + .quad 0x3feffffffde9964e, 0x3e61dc7b5b978cf8 + .quad 0x3feffffffe0c2bf0, 0x3e60bc30c5d52f15 + .quad 0x3feffffffe2c92db, 0x3e5f5b2be65a0c7f + .quad 0x3feffffffe4aed5e, 0x3e5d5f3a8dea7357 + .quad 0x3feffffffe675bbd, 0x3e5b82915b03515b + .quad 0x3feffffffe81fc4e, 0x3e59c3517e789488 + .quad 0x3feffffffe9aeb97, 0x3e581fb7df06136e + .quad 0x3feffffffeb24467, 0x3e56961b8d641d06 + .quad 0x3feffffffec81ff2, 0x3e5524ec4d916cae + .quad 0x3feffffffedc95e7, 0x3e53cab1343d18d1 + .quad 0x3feffffffeefbc85, 0x3e52860757487a01 + .quad 0x3fefffffff01a8b6, 0x3e5155a09065d4f7 + .quad 0x3fefffffff126e1e, 0x3e50384250e4c9fc + .quad 0x3fefffffff221f30, 0x3e4e59890b926c78 + .quad 0x3fefffffff30cd3f, 0x3e4c642116a8a9e3 + .quad 0x3fefffffff3e8892, 0x3e4a8e405e651ab6 + .quad 0x3fefffffff4b606f, 0x3e48d5f98114f872 + .quad 0x3fefffffff57632d, 0x3e47397c5a66e307 + .quad 0x3fefffffff629e44, 0x3e45b71456c5a4c4 + .quad 0x3fefffffff6d1e56, 0x3e444d26de513197 + .quad 0x3fefffffff76ef3f, 0x3e42fa31d6371537 + .quad 0x3fefffffff801c1f, 0x3e41bcca373b7b43 + .quad 0x3fefffffff88af67, 0x3e40939ab853339f + .quad 0x3fefffffff90b2e3, 0x3e3efac5187b2863 + .quad 0x3fefffffff982fc1, 0x3e3cf1e86235d0e7 + .quad 0x3fefffffff9f2e9f, 0x3e3b0a68a2128bab + .quad 0x3fefffffffa5b790, 0x3e39423165bc4444 + .quad 0x3fefffffffabd229, 0x3e37974e743dea3d + .quad 0x3fefffffffb18582, 0x3e3607e9eacd1050 + .quad 0x3fefffffffb6d844, 0x3e34924a74dec729 + .quad 0x3fefffffffbbd0aa, 0x3e3334d19e0c2160 + .quad 0x3fefffffffc0748f, 0x3e31edfa3c5f5cca + .quad 0x3fefffffffc4c96c, 0x3e30bc56f1b54701 + .quad 0x3fefffffffc8d462, 0x3e2f3d2185e047d9 + .quad 0x3fefffffffcc9a41, 0x3e2d26cb87945e87 + .quad 0x3fefffffffd01f89, 0x3e2b334fac4b9f99 + .quad 0x3fefffffffd36871, 0x3e296076f7918d1c + .quad 0x3fefffffffd678ed, 0x3e27ac2d72fc2c63 + .quad 0x3fefffffffd954ae, 0x3e2614801550319e + .quad 0x3fefffffffdbff2a, 0x3e24979ac8b28927 + .quad 0x3fefffffffde7ba0, 0x3e2333c68e2d0548 + .quad 0x3fefffffffe0cd16, 0x3e21e767bce37dd7 + .quad 0x3fefffffffe2f664, 0x3e20b0fc5b6d05a0 + .quad 0x3fefffffffe4fa30, 0x3e1f1e3523b41d7d + .quad 0x3fefffffffe6daf7, 0x3e1d00de6608effe + .quad 0x3fefffffffe89b0c, 0x3e1b0778b7b3301b + .quad 0x3fefffffffea3c9a, 0x3e192fb04ec0f6cf + .quad 0x3fefffffffebc1a9, 0x3e177756ec9f78fa + .quad 0x3fefffffffed2c21, 0x3e15dc61922d5a06 + .quad 0x3fefffffffee7dc8, 0x3e145ce65699ff6d + .quad 0x3fefffffffefb847, 0x3e12f71a5f159970 + .quad 0x3feffffffff0dd2b, 0x3e11a94ff571654f + .quad 0x3feffffffff1ede9, 0x3e1071f4bbea09ec + .quad 0x3feffffffff2ebda, 0x3e0e9f1ff8ddd774 + .quad 0x3feffffffff3d843, 0x3e0c818223a202c7 + .quad 0x3feffffffff4b453, 0x3e0a887bd2b4404d + .quad 0x3feffffffff58126, 0x3e08b1a336c5eb6b + .quad 0x3feffffffff63fc3, 0x3e06fab63324088a + .quad 0x3feffffffff6f121, 0x3e056197e30205ba + .quad 0x3feffffffff79626, 0x3e03e44e45301b92 + .quad 0x3feffffffff82fab, 0x3e0281000bfe4c3f + .quad 0x3feffffffff8be77, 0x3e0135f28f2d50b4 + .quad 0x3feffffffff94346, 0x3e000187dded5975 + .quad 0x3feffffffff9bec8, 0x3dfdc479de0ef001 + .quad 0x3feffffffffa319f, 0x3dfbad4fdad3caa1 + .quad 0x3feffffffffa9c63, 0x3df9baed3ed27ab8 + .quad 0x3feffffffffaffa4, 0x3df7ead9ce4285bb + .quad 0x3feffffffffb5be5, 0x3df63ac6b4edc88e + .quad 0x3feffffffffbb1a2, 0x3df4a88be2a6390c + .quad 0x3feffffffffc014e, 0x3df332259185f1a0 + .quad 0x3feffffffffc4b56, 0x3df1d5b1f3793044 + .quad 0x3feffffffffc901c, 0x3df0916f04b6e18b + .quad 0x3feffffffffccfff, 0x3deec77101de6926 + .quad 0x3feffffffffd0b56, 0x3dec960bf23153e0 + .quad 0x3feffffffffd4271, 0x3dea8bd20fc65ef7 + .quad 0x3feffffffffd759d, 0x3de8a61745ec7d1d + .quad 0x3feffffffffda520, 0x3de6e25d0e756261 + .quad 0x3feffffffffdd13c, 0x3de53e4f7d1666cb + .quad 0x3feffffffffdfa2d, 0x3de3b7c27a7ddb0e + .quad 0x3feffffffffe202d, 0x3de24caf2c32af14 + .quad 0x3feffffffffe4371, 0x3de0fb3186804d0f + .quad 0x3feffffffffe642a, 0x3ddf830c0bb41fd7 + .quad 0x3feffffffffe8286, 0x3ddd3c0f1a91c846 + .quad 0x3feffffffffe9eb0, 0x3ddb1e5acf351d87 + .quad 0x3feffffffffeb8d0, 0x3dd92712d259ce66 + .quad 0x3feffffffffed10a, 0x3dd7538c60a04476 + .quad 0x3feffffffffee782, 0x3dd5a14b04b47879 + .quad 0x3feffffffffefc57, 0x3dd40dfd87456f4c + .quad 0x3fefffffffff0fa7, 0x3dd2977b1172b9d5 + .quad 0x3fefffffffff218f, 0x3dd13bc07e891491 + .quad 0x3fefffffffff3227, 0x3dcff1dbb4300811 + .quad 0x3fefffffffff4188, 0x3dcd9a880f306bd8 + .quad 0x3fefffffffff4fc9, 0x3dcb6e45220b55e0 + .quad 0x3fefffffffff5cfd, 0x3dc96a0b33f2c4da + .quad 0x3fefffffffff6939, 0x3dc78b07e9e924ac + .quad 0x3fefffffffff748e, 0x3dc5ce9ab1670dd2 + .quad 0x3fefffffffff7f0d, 0x3dc4325167006bb0 + .quad 0x3fefffffffff88c5, 0x3dc2b3e53538ff3f + .quad 0x3fefffffffff91c6, 0x3dc15137a7f44864 + .quad 0x3fefffffffff9a1b, 0x3dc0084ff125639d + .quad 0x3fefffffffffa1d2, 0x3dbdaeb0b7311ec7 + .quad 0x3fefffffffffa8f6, 0x3dbb7937d1c40c53 + .quad 0x3fefffffffffaf92, 0x3db96d082f59ab06 + .quad 0x3fefffffffffb5b0, 0x3db7872d9fa10aad + .quad 0x3fefffffffffbb58, 0x3db5c4e8e37bc7d0 + .quad 0x3fefffffffffc095, 0x3db423ac0df49a40 + .quad 0x3fefffffffffc56d, 0x3db2a117230ad284 + .quad 0x3fefffffffffc9e8, 0x3db13af4f04f9998 + .quad 0x3fefffffffffce0d, 0x3dafde703724e560 + .quad 0x3fefffffffffd1e1, 0x3dad77f0c82e7641 + .quad 0x3fefffffffffd56c, 0x3dab3ee02611d7dd + .quad 0x3fefffffffffd8b3, 0x3da92ff33023d5bd + .quad 0x3fefffffffffdbba, 0x3da7481a9e69f53f + .quad 0x3fefffffffffde86, 0x3da5847eda620959 + .quad 0x3fefffffffffe11d, 0x3da3e27c1fcc74bd + .quad 0x3fefffffffffe380, 0x3da25f9ee0b923dc + .quad 0x3fefffffffffe5b6, 0x3da0f9a068653200 + .quad 0x3fefffffffffe7c0, 0x3d9f5cc7718082b0 + .quad 0x3fefffffffffe9a2, 0x3d9cf7e53d6a2ca5 + .quad 0x3fefffffffffeb60, 0x3d9ac0f5f3229372 + .quad 0x3fefffffffffecfb, 0x3d98b498644847ea + .quad 0x3fefffffffffee77, 0x3d96cfa9bcca59dc + .quad 0x3fefffffffffefd6, 0x3d950f411d4fd2cd + .quad 0x3feffffffffff11a, 0x3d9370ab8327af5e + .quad 0x3feffffffffff245, 0x3d91f167f88c6b6e + .quad 0x3feffffffffff359, 0x3d908f24085d4597 + .quad 0x3feffffffffff457, 0x3d8e8f70e181d61a + .quad 0x3feffffffffff542, 0x3d8c324c20e337dc + .quad 0x3feffffffffff61b, 0x3d8a03261574b54e + .quad 0x3feffffffffff6e3, 0x3d87fe903cdf5855 + .quad 0x3feffffffffff79b, 0x3d86215c58da3450 + .quad 0x3feffffffffff845, 0x3d846897d4b69fc6 + .quad 0x3feffffffffff8e2, 0x3d82d1877d731b7b + .quad 0x3feffffffffff973, 0x3d8159a386b11517 + .quad 0x3feffffffffff9f8, 0x3d7ffd27ae9393ce + .quad 0x3feffffffffffa73, 0x3d7d7c593130dd0b + .quad 0x3feffffffffffae4, 0x3d7b2cd607c79bcf + .quad 0x3feffffffffffb4c, 0x3d790ae4d3405651 + .quad 0x3feffffffffffbad, 0x3d771312dd1759e2 + .quad 0x3feffffffffffc05, 0x3d75422ef5d8949d + .quad 0x3feffffffffffc57, 0x3d739544b0ecc957 + .quad 0x3feffffffffffca2, 0x3d720997f73e73dd + .quad 0x3feffffffffffce7, 0x3d709ca0eaacd277 + .quad 0x3feffffffffffd27, 0x3d6e9810295890ec + .quad 0x3feffffffffffd62, 0x3d6c2b45b5aa4a1d + .quad 0x3feffffffffffd98, 0x3d69eee068fa7596 + .quad 0x3feffffffffffdca, 0x3d67df2b399c10a8 + .quad 0x3feffffffffffdf8, 0x3d65f8b87a31bd85 + .quad 0x3feffffffffffe22, 0x3d64385c96e9a2d9 + .quad 0x3feffffffffffe49, 0x3d629b2933ef4cbc + .quad 0x3feffffffffffe6c, 0x3d611e68a6378f8a + .quad 0x3feffffffffffe8d, 0x3d5f7f338086a86b + .quad 0x3feffffffffffeab, 0x3d5cf8d7d9ce040a + .quad 0x3feffffffffffec7, 0x3d5aa577251ae485 + .quad 0x3feffffffffffee1, 0x3d58811d739efb5f + .quad 0x3feffffffffffef8, 0x3d568823e52970be + .quad 0x3fefffffffffff0e, 0x3d54b72ae68e8b4c + .quad 0x3fefffffffffff22, 0x3d530b14dbe876bc + .quad 0x3fefffffffffff34, 0x3d5181012ef86610 + .quad 0x3fefffffffffff45, 0x3d501647ba798745 + .quad 0x3fefffffffffff54, 0x3d4d90e917701675 + .quad 0x3fefffffffffff62, 0x3d4b2a87e86d0c8a + .quad 0x3fefffffffffff6f, 0x3d48f53dcb377293 + .quad 0x3fefffffffffff7b, 0x3d46ed2f2515e933 + .quad 0x3fefffffffffff86, 0x3d450ecc9ed47f19 + .quad 0x3fefffffffffff90, 0x3d4356cd5ce7799e + .quad 0x3fefffffffffff9a, 0x3d41c229a587ab78 + .quad 0x3fefffffffffffa2, 0x3d404e15ecc7f3f6 + .quad 0x3fefffffffffffaa, 0x3d3deffc7e6a6017 + .quad 0x3fefffffffffffb1, 0x3d3b7b040832f310 + .quad 0x3fefffffffffffb8, 0x3d3938e021f36d76 + .quad 0x3fefffffffffffbe, 0x3d37258610b3b233 + .quad 0x3fefffffffffffc3, 0x3d353d3bfc82a909 + .quad 0x3fefffffffffffc8, 0x3d337c92babdc2fd + .quad 0x3fefffffffffffcd, 0x3d31e06010120f6a + .quad 0x3fefffffffffffd1, 0x3d3065b9616170d4 + .quad 0x3fefffffffffffd5, 0x3d2e13dd96b3753b + .quad 0x3fefffffffffffd9, 0x3d2b950d32467392 + .quad 0x3fefffffffffffdc, 0x3d294a72263259a5 + .quad 0x3fefffffffffffdf, 0x3d272fd93e036cdc + .quad 0x3fefffffffffffe2, 0x3d254164576929ab + .quad 0x3fefffffffffffe4, 0x3d237b83c521fe96 + .quad 0x3fefffffffffffe7, 0x3d21daf033182e96 + .quad 0x3fefffffffffffe9, 0x3d205ca50205d26a + .quad 0x3fefffffffffffeb, 0x3d1dfbb6235639fa + .quad 0x3fefffffffffffed, 0x3d1b7807e294781f + .quad 0x3fefffffffffffee, 0x3d19298add70a734 + .quad 0x3feffffffffffff0, 0x3d170beaf9c7ffb6 + .quad 0x3feffffffffffff1, 0x3d151b2cd6709222 + .quad 0x3feffffffffffff3, 0x3d1353a6cf7f7fff + .quad 0x3feffffffffffff4, 0x3d11b1fa8cbe84a7 + .quad 0x3feffffffffffff5, 0x3d10330f0fd69921 + .quad 0x3feffffffffffff6, 0x3d0da81670f96f9b + .quad 0x3feffffffffffff7, 0x3d0b24a16b4d09aa + .quad 0x3feffffffffffff7, 0x3d08d6eeb6efdbd6 + .quad 0x3feffffffffffff8, 0x3d06ba91ac734786 + .quad 0x3feffffffffffff9, 0x3d04cb7966770ab5 + .quad 0x3feffffffffffff9, 0x3d0305e9721d0981 + .quad 0x3feffffffffffffa, 0x3d01667311fff70a + .quad 0x3feffffffffffffb, 0x3cffd3de10d62855 + .quad 0x3feffffffffffffb, 0x3cfd1aefbcd48d0c + .quad 0x3feffffffffffffb, 0x3cfa9cc93c25aca9 + .quad 0x3feffffffffffffc, 0x3cf85487ee3ea735 + .quad 0x3feffffffffffffc, 0x3cf63daf8b4b1e0c + .quad 0x3feffffffffffffd, 0x3cf45421e69a6ca1 + .quad 0x3feffffffffffffd, 0x3cf294175802d99a + .quad 0x3feffffffffffffd, 0x3cf0fa17bf41068f + .quad 0x3feffffffffffffd, 0x3cef05e82aae2bb9 + .quad 0x3feffffffffffffe, 0x3cec578101b29058 + .quad 0x3feffffffffffffe, 0x3ce9e39dc5dd2f7c + .quad 0x3feffffffffffffe, 0x3ce7a553a728bbf2 + .quad 0x3feffffffffffffe, 0x3ce5982008db1304 + .quad 0x3feffffffffffffe, 0x3ce3b7e00422e51b + .quad 0x3feffffffffffffe, 0x3ce200c898d9ee3e + .quad 0x3fefffffffffffff, 0x3ce06f5f7eb65a56 + .quad 0x3fefffffffffffff, 0x3cde00e9148a1d25 + .quad 0x3fefffffffffffff, 0x3cdb623734024e92 + .quad 0x3fefffffffffffff, 0x3cd8fd4e01891bf8 + .quad 0x3fefffffffffffff, 0x3cd6cd44c7470d89 + .quad 0x3fefffffffffffff, 0x3cd4cd9c04158cd7 + .quad 0x3fefffffffffffff, 0x3cd2fa34bf5c8344 + .quad 0x3fefffffffffffff, 0x3cd14f4890ff2461 + .quad 0x3fefffffffffffff, 0x3ccf92c49dfa4df5 + .quad 0x3fefffffffffffff, 0x3ccccaaea71ab0df + .quad 0x3fefffffffffffff, 0x3cca40829f001197 + .quad 0x3ff0000000000000, 0x3cc7eef13b59e96c + .quad 0x3ff0000000000000, 0x3cc5d11e1a252bf5 + .quad 0x3ff0000000000000, 0x3cc3e296303b2297 + .quad 0x3ff0000000000000, 0x3cc21f47009f43ce + .quad 0x3ff0000000000000, 0x3cc083768c5e4542 + .quad 0x3ff0000000000000, 0x3cbe1777d831265f + .quad 0x3ff0000000000000, 0x3cbb69f10b0191b5 + .quad 0x3ff0000000000000, 0x3cb8f8a3a05b5b53 + .quad 0x3ff0000000000000, 0x3cb6be573c40c8e7 + .quad 0x3ff0000000000000, 0x3cb4b645ba991fdb + .align 64 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _AbsMask */ + .align 64 + .quad 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000, 0x4017f80000000000 /* _MaxThreshold = 6.0 - 1.0/128.0 */ + .align 64 + .quad 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000, 0x42c0000000000000 /* SRound */ + .align 64 + .quad 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000, 0x2ff0000000000000 /* _U2THreshold */ + .align 64 + .quad 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5, 0xbfa6c16db05bdea5 /* _poly_1_0 */ + .align 64 + .quad 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1, 0x3fc1111235a363b1 /* _poly_1_1 */ + .align 64 + .quad 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57, 0x3fcc71ca1c71eb57 /* _poly_3_0 */ + .align 64 + .quad 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8, 0xbfd9999c2be2dda8 /* _poly_3_1 */ + .align 64 + .quad 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F, 0xbfc5555800001B4F /* _poly_5_0 */ + .align 64 + .quad 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122, 0x3fb9999E2BE2F122 /* _poly_5_1 */ + .align 64 + .quad 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6, 0xbfd55555555547f6 /* _poly_1_2 */ + .align 64 + .quad 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd, 0x3fdfffffffffd4cd /* _poly_3_2 */ + .align 64 + .quad 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c, 0x3fe5555555554b0c /* _poly_1_3 */ + .align 64 + .quad 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555, 0xbfd5555555555555 /* _poly_3_3 */ + .align 64 + .quad 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff, 0x00000000ffffffff /* _Mask32 */ + .align 64 + .type __svml_derf_data_internal,@object + .size __svml_derf_data_internal,.-__svml_derf_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core-avx2.S new file mode 100644 index 0000000..852a247 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized erff. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVeN16v_erff _ZGVeN16v_erff_avx2_wrapper +#include "../svml_s_erff16_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core.c new file mode 100644 index 0000000..5714eaf --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized erff, vector length is 16. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVeN16v_erff +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN16v_erff, __GI__ZGVeN16v_erff, + __redirect__ZGVeN16v_erff) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core_avx512.S new file mode 100644 index 0000000..5cdc8a7 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff16_core_avx512.S @@ -0,0 +1,185 @@ +/* Function erff vectorized with AVX-512. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * erf(x) is computed as higher precision simple polynomial + * with no lookup table: + * + * R = P0 + x^2*(P1 + x^2*(P2 + .... x^2*P12)); + * erf(x) = R * R * x; + * + * Special cases: + * + * erf(0) = 0 + * erf(+INF) = +1 + * erf(-INF) = -1 + * erf(QNaN) = QNaN + * erf(SNaN) = QNaN + * + */ + +/* Offsets for data table __svml_serf_data_internal + */ +#define _AbsMask 0 +#define _One 64 +#define _gf_MaxThreshold_LA 128 +#define _gf_la_poly_0 192 +#define _gf_la_poly_1 256 +#define _gf_la_poly_2 320 +#define _gf_la_poly_3 384 +#define _gf_la_poly_4 448 +#define _gf_la_poly_5 512 +#define _gf_la_poly_6 576 +#define _gf_la_poly_7 640 +#define _gf_la_poly_8 704 +#define _gf_la_poly_9 768 +#define _gf_la_poly_10 832 +#define _gf_la_poly_11 896 +#define _gf_la_poly_12 960 + +#include <sysdep.h> + + .text + .section .text.exex512,"ax",@progbits +ENTRY(_ZGVeN16v_erff_skx) + vmovaps %zmm0, %zmm8 + vmulps {rn-sae}, %zmm8, %zmm8, %zmm11 + vmovups _gf_la_poly_11+__svml_serf_data_internal(%rip), %zmm15 + vmovups _gf_la_poly_12+__svml_serf_data_internal(%rip), %zmm10 + vmovups _gf_la_poly_10+__svml_serf_data_internal(%rip), %zmm9 + vmovups _gf_la_poly_9+__svml_serf_data_internal(%rip), %zmm7 + vmovups _gf_la_poly_8+__svml_serf_data_internal(%rip), %zmm0 + vmovups _gf_la_poly_7+__svml_serf_data_internal(%rip), %zmm1 + vmovups _gf_la_poly_6+__svml_serf_data_internal(%rip), %zmm2 + vmovups _gf_la_poly_5+__svml_serf_data_internal(%rip), %zmm3 + vmovups _gf_la_poly_4+__svml_serf_data_internal(%rip), %zmm4 + vmovups _gf_la_poly_3+__svml_serf_data_internal(%rip), %zmm5 + vmovups _gf_la_poly_2+__svml_serf_data_internal(%rip), %zmm6 + vextractf32x8 $1, %zmm8, %ymm13 + vcvtps2pd {sae}, %ymm8, %zmm12 + vcvtps2pd {sae}, %ymm13, %zmm14 + vmulpd {rn-sae}, %zmm12, %zmm12, %zmm12 + vmulpd {rn-sae}, %zmm14, %zmm14, %zmm13 + +/* R = P0 + x^2*(P1 + x^2*(P2 + .... x^2*P12)); */ + vmovaps %zmm15, %zmm14 + vfmadd231pd {rn-sae}, %zmm12, %zmm10, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm10, %zmm15 + vmovups _gf_la_poly_1+__svml_serf_data_internal(%rip), %zmm10 + vfmadd213pd {rn-sae}, %zmm9, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm15, %zmm9 + vfmadd213pd {rn-sae}, %zmm7, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm9, %zmm7 + vfmadd213pd {rn-sae}, %zmm0, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm7, %zmm0 + vmovups _gf_MaxThreshold_LA+__svml_serf_data_internal(%rip), %zmm7 + vfmadd213pd {rn-sae}, %zmm1, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm0, %zmm1 + vmovups _gf_la_poly_0+__svml_serf_data_internal(%rip), %zmm0 + vcmpps $22, {sae}, %zmm11, %zmm7, %k1 + vfmadd213pd {rn-sae}, %zmm2, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm1, %zmm2 + vfmadd213pd {rn-sae}, %zmm3, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm2, %zmm3 + vfmadd213pd {rn-sae}, %zmm4, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm3, %zmm4 + vfmadd213pd {rn-sae}, %zmm5, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm4, %zmm5 + vfmadd213pd {rn-sae}, %zmm6, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm5, %zmm6 + vmovups _AbsMask+__svml_serf_data_internal(%rip), %zmm5 + vfmadd213pd {rn-sae}, %zmm10, %zmm12, %zmm14 + vfmadd231pd {rn-sae}, %zmm13, %zmm6, %zmm10 + vandnps %zmm8, %zmm5, %zmm6 + vfmadd213pd {rn-sae}, %zmm0, %zmm14, %zmm12 + vfmadd213pd {rn-sae}, %zmm0, %zmm10, %zmm13 + vorps _One+__svml_serf_data_internal(%rip), %zmm6, %zmm0 + vmulpd {rn-sae}, %zmm12, %zmm12, %zmm1 + vmulpd {rn-sae}, %zmm13, %zmm13, %zmm3 + vcvtpd2ps {rn-sae}, %zmm1, %ymm2 + vcvtpd2ps {rn-sae}, %zmm3, %ymm4 + vinsertf32x8 $1, %ymm4, %zmm2, %zmm9 + +/* erf(x) = R * R * x; */ + vmulps {rn-sae}, %zmm8, %zmm9, %zmm0{%k1} + ret + +END(_ZGVeN16v_erff_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_serf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(64)) VUINT32 _AbsMask[16][1]; + __declspec(align(64)) VUINT32 _One[16][1]; + __declspec(align(64)) VUINT32 _gf_MaxThreshold_LA[16][1]; + __declspec(align(64)) VUINT32 _gf_la_poly_0[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_1[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_2[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_3[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_4[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_5[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_6[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_7[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_8[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_9[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_10[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_11[8][2]; + __declspec(align(64)) VUINT32 _gf_la_poly_12[8][2]; +} __svml_serf_data_internal; +#endif +__svml_serf_data_internal: + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _AbsMask */ + .align 64 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 /* _One */ + .align 64 + .long 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a, 0x41558c5a /* _gf_MaxThreshold_LA */ + .align 64 + .quad 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903, 0x3ff0fefbd933b903 /* _gf_la_poly_0 */ + .align 64 + .quad 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367, 0xbfc6a948101e6367 /* _gf_la_poly_1 */ + .align 64 + .quad 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b, 0x3fa3a334ce602c6b /* _gf_la_poly_2 */ + .align 64 + .quad 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc, 0xbf799309ea0c81dc /* _gf_la_poly_3 */ + .align 64 + .quad 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392, 0x3f476df64a40e392 /* _gf_la_poly_4 */ + .align 64 + .quad 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede, 0xbf0a5216b9508ede /* _gf_la_poly_5 */ + .align 64 + .quad 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0, 0x3ea5794b95c8e8a0 /* _gf_la_poly_6 */ + .align 64 + .quad 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f, 0x3e94b6c0b485f30f /* _gf_la_poly_7 */ + .align 64 + .quad 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523, 0xbe65806ce17f0523 /* _gf_la_poly_8 */ + .align 64 + .quad 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47, 0x3e2715640470db47 /* _gf_la_poly_9 */ + .align 64 + .quad 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03, 0xbdddcb2653d80f03 /* _gf_la_poly_10 */ + .align 64 + .quad 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb, 0x3d85eadfc762d3eb /* _gf_la_poly_11 */ + .align 64 + .quad 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1, 0xbd1c668a2871f0f1 /* _gf_la_poly_12 */ + .align 64 + .type __svml_serf_data_internal,@object + .size __svml_serf_data_internal,.-__svml_serf_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core-sse2.S new file mode 100644 index 0000000..651fd26 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized erff, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVbN4v_erff _ZGVbN4v_erff_sse2 +#include "../svml_s_erff4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core.c new file mode 100644 index 0000000..02286a6 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized erff, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVbN4v_erff +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN4v_erff, __GI__ZGVbN4v_erff, + __redirect__ZGVbN4v_erff) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core_sse4.S new file mode 100644 index 0000000..5c052f5 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff4_core_sse4.S @@ -0,0 +1,664 @@ +/* Function erff vectorized with SSE4. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * Basic formula is + * erf(x) ~ erf(x0) + + * + exp(-x0*x0)*D*(1+c0+T*P1(T)+D^2*P3(T)+D^4*p5) + * where D=x-x0, T=x0*D + * x0 is x rounded to a specified number of fractional bits (in this case 8), + * except that x0=0 for |x|<3.5/256.0 (using x0=0 for first 4 table entries) + * + * Data table packs both erf(x0)_high and a few bits of erf(x0)_low in one + * entry (in place of redundant exponent bits) + * + */ + +/* Offsets for data table __svml_serf_data_internal + */ +#define _erf_tbl 0 +#define _AbsMask 4032 +#define _MaxThreshold 4048 +#define _SRound 4064 +#define _U2Threshold 4080 +#define _poly3_0 4096 + +/* Lookup bias for data table __svml_serf_data_internal. */ +#define Table_Lookup_Bias -0x3c000000 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_erff_sse4) + lea Table_Lookup_Bias+__svml_serf_data_internal(%rip), %rdi + movups _AbsMask+__svml_serf_data_internal(%rip), %xmm9 + andps %xmm0, %xmm9 + +/* + * erf(x) rounds to 1.0 for x>_MaxThreshold (3.9375) + * can compute all results in the main path + */ + movaps %xmm9, %xmm12 + +/* save sign */ + pxor %xmm9, %xmm0 + minps _MaxThreshold+__svml_serf_data_internal(%rip), %xmm12 + +/* + * vector gather: + * erf(x0), exp(-x0*x0)*2.0/sqrt(pi) + */ + movups _SRound+__svml_serf_data_internal(%rip), %xmm1 + movaps %xmm1, %xmm4 + movups _U2Threshold+__svml_serf_data_internal(%rip), %xmm11 + addps %xmm12, %xmm4 + cmpltps %xmm12, %xmm11 + movaps %xmm4, %xmm10 + pslld $3, %xmm4 + pshufd $1, %xmm4, %xmm2 + subps %xmm1, %xmm10 + movd %xmm4, %eax + movd %xmm2, %edx + pshufd $2, %xmm4, %xmm3 + subps %xmm10, %xmm12 + movd %xmm3, %ecx + andps %xmm12, %xmm11 + +/* D2 = Diff^2 */ + mulps %xmm11, %xmm11 + mulps %xmm12, %xmm10 + +/* NaN fixup */ + minps %xmm9, %xmm12 + +/* + * Start polynomial evaluation + * P1 + */ + mulps _poly3_0+__svml_serf_data_internal(%rip), %xmm11 + pshufd $3, %xmm4, %xmm5 + subps %xmm10, %xmm11 + movd %xmm5, %esi + +/* + * branch-free + * (exp_h(x0) * Diff) * (poly + 1.0) + */ + mulps %xmm12, %xmm11 + movslq %eax, %rax + addps %xmm11, %xmm12 + movslq %edx, %rdx + movslq %ecx, %rcx + movslq %esi, %rsi + movq (%rdi,%rax), %xmm13 + movq (%rdi,%rdx), %xmm6 + movq (%rdi,%rcx), %xmm8 + movq (%rdi,%rsi), %xmm7 + unpcklps %xmm6, %xmm13 + unpcklps %xmm7, %xmm8 + movaps %xmm13, %xmm14 + shufps $238, %xmm8, %xmm13 + +/* Final result */ + mulps %xmm12, %xmm13 + movlhps %xmm8, %xmm14 + addps %xmm13, %xmm14 + +/* set sign */ + orps %xmm14, %xmm0 + ret + +END(_ZGVbN4v_erff_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_serf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _erf_tbl[1008][1]; + __declspec(align(16)) VUINT32 _AbsMask[4][1]; + __declspec(align(16)) VUINT32 _MaxThreshold[4][1]; + __declspec(align(16)) VUINT32 _SRound[4][1]; + __declspec(align(16)) VUINT32 _U2Threshold[4][1]; + __declspec(align(16)) VUINT32 _poly3_0[4][1]; +} __svml_serf_data_internal; +#endif +__svml_serf_data_internal: + /*== _erf_tbl ==*/ + .long 0x00000000, 0x3f906ebb + .long 0x3c106dfa, 0x3f906c79 + .long 0x3c906bb8, 0x3f9065b4 + .long 0x3cd89bf0, 0x3f905a6c + .long 0x3d1062b2, 0x3f904aa3 + .long 0x3d3472ea, 0x3f90365a + .long 0x3d587d7f, 0x3f901d93 + .long 0x3d7c8154, 0x3f900050 + .long 0x3d903ea4, 0x3f8fde94 + .long 0x3da2381f, 0x3f8fb862 + .long 0x3db42c8d, 0x3f8f8dbd + .long 0x3dc61b5f, 0x3f8f5eab + .long 0x3dd80409, 0x3f8f2b2e + .long 0x3de9e5fc, 0x3f8ef34c + .long 0x3dfbc0ad, 0x3f8eb70a + .long 0x3e06c9c8, 0x3f8e766e + .long 0x3e0faf0d, 0x3f8e317d + .long 0x3e188fe1, 0x3f8de83e + .long 0x3e216bfe, 0x3f8d9ab9 + .long 0x3e2a4321, 0x3f8d48f3 + .long 0x3e331506, 0x3f8cf2f5 + .long 0x3e3be169, 0x3f8c98c6 + .long 0x3e44a808, 0x3f8c3a6f + .long 0x3e4d68a1, 0x3f8bd7f8 + .long 0x3e5622f2, 0x3f8b716c + .long 0x3e5ed6b9, 0x3f8b06d2 + .long 0x3e6783b7, 0x3f8a9834 + .long 0x3e7029aa, 0x3f8a259e + .long 0x3e78c855, 0x3f89af18 + .long 0x3e80afbc, 0x3f8934af + .long 0x3e84f76b, 0x3f88b66c + .long 0x3e893b19, 0x3f88345d + .long 0x3e8d7aa7, 0x3f87ae8b + .long 0x3e91b5f8, 0x3f872504 + .long 0x3e95ecee, 0x3f8697d3 + .long 0x3e9a1f6b, 0x3f860705 + .long 0x3e9e4d54, 0x3f8572a8 + .long 0x3ea2768c, 0x3f84dac8 + .long 0x3ea69af8, 0x3f843f72 + .long 0x3eaaba7a, 0x3f83a0b6 + .long 0x3eaed4fa, 0x3f82fe9f + .long 0x3eb2ea5c, 0x3f82593e + .long 0x3eb6fa85, 0x3f81b0a0 + .long 0x3ebb055d, 0x3f8104d3 + .long 0x3ebf0aca, 0x3f8055e8 + .long 0x3ec30ab3, 0x3f7f47d8 + .long 0x3ec70501, 0x3f7ddddf + .long 0x3ecaf99b, 0x3f7c6e05 + .long 0x3ecee869, 0x3f7af867 + .long 0x3ed2d156, 0x3f797d26 + .long 0x3ed6b44b, 0x3f77fc62 + .long 0x3eda9132, 0x3f76763c + .long 0x3ede67f6, 0x3f74ead4 + .long 0x3ee23882, 0x3f735a4c + .long 0x3ee602c2, 0x3f71c4c4 + .long 0x3ee9c6a2, 0x3f702a5f + .long 0x3eed840e, 0x3f6e8b3e + .long 0x3ef13af5, 0x3f6ce783 + .long 0x3ef4eb45, 0x3f6b3f51 + .long 0x3ef894ea, 0x3f6992c9 + .long 0x3efc37d5, 0x3f67e20f + .long 0x3effd3f5, 0x3f662d45 + .long 0x3f01b49d, 0x3f64748e + .long 0x3f037bca, 0x3f62b80d + .long 0x3f053f7b, 0x3f60f7e5 + .long 0x3f06ffa8, 0x3f5f3439 + .long 0x3f08bc4a, 0x3f5d6d2d + .long 0x3f0a755a, 0x3f5ba2e3 + .long 0x3f0c2ad3, 0x3f59d57e + .long 0x3f0ddcae, 0x3f580523 + .long 0x3f0f8ae6, 0x3f5631f4 + .long 0x3f113574, 0x3f545c14 + .long 0x3f12dc54, 0x3f5283a7 + .long 0x3f147f81, 0x3f50a8cf + .long 0x3f161ef6, 0x3f4ecbb1 + .long 0x3f17baae, 0x3f4cec6d + .long 0x3f1952a6, 0x3f4b0b28 + .long 0x3f1ae6da, 0x3f492804 + .long 0x3f1c7745, 0x3f474323 + .long 0x3f1e03e5, 0x3f455ca8 + .long 0x3f1f8cb7, 0x3f4374b5 + .long 0x3f2111b7, 0x3f418b6b + .long 0x3f2292e4, 0x3f3fa0ee + .long 0x3f24103a, 0x3f3db55e + .long 0x3f2589b9, 0x3f3bc8dc + .long 0x3f26ff5d, 0x3f39db8a + .long 0x3f287126, 0x3f37ed89 + .long 0x3f29df13, 0x3f35fef8 + .long 0x3f2b4922, 0x3f340ff9 + .long 0x3f2caf53, 0x3f3220ab + .long 0x3f2e11a4, 0x3f30312e + .long 0x3f2f7017, 0x3f2e41a1 + .long 0x3f30caab, 0x3f2c5223 + .long 0x3f322160, 0x3f2a62d3 + .long 0x3f337437, 0x3f2873cf + .long 0x3f34c32f, 0x3f268534 + .long 0x3f360e4c, 0x3f249721 + .long 0x3f37558c, 0x3f22a9b3 + .long 0x3f3898f3, 0x3f20bd06 + .long 0x3f39d881, 0x3f1ed137 + .long 0x3f3b1438, 0x3f1ce661 + .long 0x3f3c4c1b, 0x3f1afca0 + .long 0x3f3d802c, 0x3f19140f + .long 0x3f3eb06c, 0x3f172cc9 + .long 0x3f3fdce0, 0x3f1546e7 + .long 0x3f410589, 0x3f136284 + .long 0x3f422a6b, 0x3f117fb9 + .long 0x3f434b89, 0x3f0f9e9e + .long 0x3f4468e7, 0x3f0dbf4c + .long 0x3f458287, 0x3f0be1db + .long 0x3f46986f, 0x3f0a0662 + .long 0x3f47aaa2, 0x3f082cf7 + .long 0x3f48b925, 0x3f0655b1 + .long 0x3f49c3fb, 0x3f0480a6 + .long 0x3f4acb29, 0x3f02adeb + .long 0x3f4bceb4, 0x3f00dd96 + .long 0x3f4ccea1, 0x3efe1f73 + .long 0x3f4dcaf4, 0x3efa88d5 + .long 0x3f4ec3b4, 0x3ef6f777 + .long 0x3f4fb8e5, 0x3ef36b80 + .long 0x3f50aa8d, 0x3eefe513 + .long 0x3f5198b1, 0x3eec6455 + .long 0x3f528358, 0x3ee8e968 + .long 0x3f536a86, 0x3ee5746d + .long 0x3f544e43, 0x3ee20584 + .long 0x3f552e93, 0x3ede9ccc + .long 0x3f560b7e, 0x3edb3a64 + .long 0x3f56e50a, 0x3ed7de6a + .long 0x3f57bb3d, 0x3ed488f8 + .long 0x3f588e1e, 0x3ed13a2b + .long 0x3f595db4, 0x3ecdf21c + .long 0x3f5a2a05, 0x3ecab0e4 + .long 0x3f5af318, 0x3ec7769b + .long 0x3f5bb8f4, 0x3ec44359 + .long 0x3f5c7ba1, 0x3ec11733 + .long 0x3f5d3b25, 0x3ebdf23d + .long 0x3f5df788, 0x3ebad48d + .long 0x3f5eb0d1, 0x3eb7be35 + .long 0x3f5f6707, 0x3eb4af46 + .long 0x3f601a32, 0x3eb1a7d3 + .long 0x3f60ca59, 0x3eaea7ea + .long 0x3f617784, 0x3eabaf9a + .long 0x3f6221bb, 0x3ea8bef3 + .long 0x3f62c905, 0x3ea5d600 + .long 0x3f636d69, 0x3ea2f4ce + .long 0x3f640ef1, 0x3ea01b68 + .long 0x3f64ada3, 0x3e9d49d9 + .long 0x3f654987, 0x3e9a8029 + .long 0x3f65e2a6, 0x3e97be62 + .long 0x3f667906, 0x3e95048b + .long 0x3f670cb1, 0x3e9252aa + .long 0x3f679dae, 0x3e8fa8c5 + .long 0x3f682c06, 0x3e8d06e3 + .long 0x3f68b7bf, 0x3e8a6d05 + .long 0x3f6940e2, 0x3e87db31 + .long 0x3f69c778, 0x3e855168 + .long 0x3f6a4b88, 0x3e82cfad + .long 0x3f6acd1a, 0x3e805600 + .long 0x3f6b4c36, 0x3e7bc8c2 + .long 0x3f6bc8e5, 0x3e76f5a0 + .long 0x3f6c432f, 0x3e723298 + .long 0x3f6cbb1b, 0x3e6d7fa5 + .long 0x3f6d30b1, 0x3e68dcc1 + .long 0x3f6da3fa, 0x3e6449e7 + .long 0x3f6e14fe, 0x3e5fc70e + .long 0x3f6e83c4, 0x3e5b542b + .long 0x3f6ef055, 0x3e56f136 + .long 0x3f6f5ab8, 0x3e529e21 + .long 0x3f6fc2f5, 0x3e4e5adf + .long 0x3f702915, 0x3e4a2761 + .long 0x3f708d1f, 0x3e460399 + .long 0x3f70ef1b, 0x3e41ef75 + .long 0x3f714f11, 0x3e3deae4 + .long 0x3f71ad09, 0x3e39f5d2 + .long 0x3f72090a, 0x3e36102b + .long 0x3f72631c, 0x3e3239db + .long 0x3f72bb46, 0x3e2e72cb + .long 0x3f731191, 0x3e2abae4 + .long 0x3f736604, 0x3e27120f + .long 0x3f73b8a5, 0x3e237833 + .long 0x3f74097e, 0x3e1fed36 + .long 0x3f745895, 0x3e1c70fd + .long 0x3f74a5f2, 0x3e19036e + .long 0x3f74f19b, 0x3e15a46d + .long 0x3f753b98, 0x3e1253dc + .long 0x3f7583f1, 0x3e0f119f + .long 0x3f75caac, 0x3e0bdd96 + .long 0x3f760fd1, 0x3e08b7a4 + .long 0x3f765366, 0x3e059fa9 + .long 0x3f769573, 0x3e029586 + .long 0x3f76d5fe, 0x3dff3230 + .long 0x3f77150f, 0x3df95481 + .long 0x3f7752ab, 0x3df391b9 + .long 0x3f778eda, 0x3dede995 + .long 0x3f77c9a2, 0x3de85bd0 + .long 0x3f78030a, 0x3de2e825 + .long 0x3f783b18, 0x3ddd8e4c + .long 0x3f7871d3, 0x3dd84dfe + .long 0x3f78a741, 0x3dd326f3 + .long 0x3f78db68, 0x3dce18e3 + .long 0x3f790e50, 0x3dc92385 + .long 0x3f793ffc, 0x3dc4468f + .long 0x3f797075, 0x3dbf81b6 + .long 0x3f799fbf, 0x3dbad4b0 + .long 0x3f79cde1, 0x3db63f32 + .long 0x3f79fae1, 0x3db1c0f1 + .long 0x3f7a26c4, 0x3dad59a1 + .long 0x3f7a518f, 0x3da908f6 + .long 0x3f7a7b4a, 0x3da4cea4 + .long 0x3f7aa3f9, 0x3da0aa5e + .long 0x3f7acba1, 0x3d9c9bd9 + .long 0x3f7af248, 0x3d98a2c7 + .long 0x3f7b17f4, 0x3d94bedd + .long 0x3f7b3ca9, 0x3d90efcd + .long 0x3f7b606e, 0x3d8d354b + .long 0x3f7b8346, 0x3d898f0a + .long 0x3f7ba537, 0x3d85fcbf + .long 0x3f7bc646, 0x3d827e1d + .long 0x3f7be677, 0x3d7e25af + .long 0x3f7c05d1, 0x3d777546 + .long 0x3f7c2456, 0x3d70ea68 + .long 0x3f7c420d, 0x3d6a847d + .long 0x3f7c5ef9, 0x3d6442f0 + .long 0x3f7c7b1f, 0x3d5e252a + .long 0x3f7c9684, 0x3d582a98 + .long 0x3f7cb12b, 0x3d5252a5 + .long 0x3f7ccb1a, 0x3d4c9cbd + .long 0x3f7ce454, 0x3d47084e + .long 0x3f7cfcdd, 0x3d4194c7 + .long 0x3f7d14ba, 0x3d3c4196 + .long 0x3f7d2bef, 0x3d370e2c + .long 0x3f7d427f, 0x3d31f9fb + .long 0x3f7d586f, 0x3d2d0474 + .long 0x3f7d6dc2, 0x3d282d0c + .long 0x3f7d827b, 0x3d237336 + .long 0x3f7d96a0, 0x3d1ed669 + .long 0x3f7daa32, 0x3d1a561b + .long 0x3f7dbd36, 0x3d15f1c6 + .long 0x3f7dcfb0, 0x3d11a8e1 + .long 0x3f7de1a2, 0x3d0d7ae9 + .long 0x3f7df30f, 0x3d09675a + .long 0x3f7e03fd, 0x3d056db0 + .long 0x3f7e146c, 0x3d018d6b + .long 0x3f7e2461, 0x3cfb8c15 + .long 0x3f7e33de, 0x3cf42e22 + .long 0x3f7e42e8, 0x3ced0003 + .long 0x3f7e517f, 0x3ce600c0 + .long 0x3f7e5fa9, 0x3cdf2f67 + .long 0x3f7e6d66, 0x3cd88b05 + .long 0x3f7e7abb, 0x3cd212ad + .long 0x3f7e87aa, 0x3ccbc574 + .long 0x3f7e9435, 0x3cc5a273 + .long 0x3f7ea05f, 0x3cbfa8c4 + .long 0x3f7eac2b, 0x3cb9d786 + .long 0x3f7eb79a, 0x3cb42ddb + .long 0x3f7ec2b1, 0x3caeaae6 + .long 0x3f7ecd71, 0x3ca94dcf + .long 0x3f7ed7dc, 0x3ca415c2 + .long 0x3f7ee1f4, 0x3c9f01ec + .long 0x3f7eebbd, 0x3c9a117f + .long 0x3f7ef537, 0x3c9543ae + .long 0x3f7efe66, 0x3c9097b1 + .long 0x3f7f074b, 0x3c8c0cc2 + .long 0x3f7f0fe8, 0x3c87a21f + .long 0x3f7f1840, 0x3c83570a + .long 0x3f7f2053, 0x3c7e558a + .long 0x3f7f2826, 0x3c763931 + .long 0x3f7f2fb8, 0x3c6e579b + .long 0x3f7f370c, 0x3c66af65 + .long 0x3f7f3e23, 0x3c5f3f2d + .long 0x3f7f4500, 0x3c58059c + .long 0x3f7f4ba4, 0x3c51015f + .long 0x3f7f5211, 0x3c4a3127 + .long 0x3f7f5848, 0x3c4393af + .long 0x3f7f5e4b, 0x3c3d27b5 + .long 0x3f7f641b, 0x3c36ebff + .long 0x3f7f69ba, 0x3c30df57 + .long 0x3f7f6f29, 0x3c2b008e + .long 0x3f7f746a, 0x3c254e7b + .long 0x3f7f797f, 0x3c1fc7fb + .long 0x3f7f7e67, 0x3c1a6bee + .long 0x3f7f8326, 0x3c15393d + .long 0x3f7f87bb, 0x3c102ed6 + .long 0x3f7f8c29, 0x3c0b4bab + .long 0x3f7f9070, 0x3c068eb5 + .long 0x3f7f9492, 0x3c01f6f1 + .long 0x3f7f9890, 0x3bfb06c5 + .long 0x3f7f9c6b, 0x3bf26625 + .long 0x3f7fa024, 0x3bea0a1d + .long 0x3f7fa3bc, 0x3be1f0d3 + .long 0x3f7fa734, 0x3bda1876 + .long 0x3f7faa8d, 0x3bd27f42 + .long 0x3f7fadc8, 0x3bcb237a + .long 0x3f7fb0e6, 0x3bc4036c + .long 0x3f7fb3e8, 0x3bbd1d6f + .long 0x3f7fb6cf, 0x3bb66fe6 + .long 0x3f7fb99c, 0x3baff93b + .long 0x3f7fbc4f, 0x3ba9b7e1 + .long 0x3f7fbeea, 0x3ba3aa56 + .long 0x3f7fc16d, 0x3b9dcf20 + .long 0x3f7fc3d9, 0x3b9824ce + .long 0x3f7fc62e, 0x3b92a9f7 + .long 0x3f7fc86e, 0x3b8d5d3c + .long 0x3f7fca99, 0x3b883d46 + .long 0x3f7fccb0, 0x3b8348c6 + .long 0x3f7fceb4, 0x3b7cfce8 + .long 0x3f7fd0a5, 0x3b73ba24 + .long 0x3f7fd283, 0x3b6ac6d3 + .long 0x3f7fd450, 0x3b622096 + .long 0x3f7fd60c, 0x3b59c51d + .long 0x3f7fd7b7, 0x3b51b22a + .long 0x3f7fd953, 0x3b49e589 + .long 0x3f7fdadf, 0x3b425d18 + .long 0x3f7fdc5c, 0x3b3b16c2 + .long 0x3f7fddcc, 0x3b341080 + .long 0x3f7fdf2d, 0x3b2d4858 + .long 0x3f7fe081, 0x3b26bc5e + .long 0x3f7fe1c8, 0x3b206ab2 + .long 0x3f7fe303, 0x3b1a5183 + .long 0x3f7fe431, 0x3b146f09 + .long 0x3f7fe554, 0x3b0ec18c + .long 0x3f7fe66c, 0x3b09475d + .long 0x3f7fe77a, 0x3b03feda + .long 0x3f7fe87d, 0x3afdccdc + .long 0x3f7fe975, 0x3af3f919 + .long 0x3f7fea65, 0x3aea7f6c + .long 0x3f7feb4b, 0x3ae15ce8 + .long 0x3f7fec27, 0x3ad88eb8 + .long 0x3f7fecfc, 0x3ad0121b + .long 0x3f7fedc8, 0x3ac7e464 + .long 0x3f7fee8c, 0x3ac002f8 + .long 0x3f7fef48, 0x3ab86b52 + .long 0x3f7feffd, 0x3ab11afe + .long 0x3f7ff0aa, 0x3aaa0f9a + .long 0x3f7ff151, 0x3aa346d7 + .long 0x3f7ff1f1, 0x3a9cbe77 + .long 0x3f7ff28a, 0x3a96744c + .long 0x3f7ff31e, 0x3a90663b + .long 0x3f7ff3ab, 0x3a8a9237 + .long 0x3f7ff433, 0x3a84f643 + .long 0x3f7ff4b5, 0x3a7f20e7 + .long 0x3f7ff532, 0x3a74bdd2 + .long 0x3f7ff5aa, 0x3a6abfa9 + .long 0x3f7ff61d, 0x3a6122ea + .long 0x3f7ff68b, 0x3a57e42f + .long 0x3f7ff6f5, 0x3a4f002c + .long 0x3f7ff75a, 0x3a4673af + .long 0x3f7ff7bb, 0x3a3e3ba2 + .long 0x3f7ff819, 0x3a365507 + .long 0x3f7ff872, 0x3a2ebcf6 + .long 0x3f7ff8c7, 0x3a2770a1 + .long 0x3f7ff919, 0x3a206d52 + .long 0x3f7ff968, 0x3a19b066 + .long 0x3f7ff9b3, 0x3a133754 + .long 0x3f7ff9fb, 0x3a0cffa3 + .long 0x3f7ffa40, 0x3a0706f4 + .long 0x3f7ffa82, 0x3a014af8 + .long 0x3f7ffac1, 0x39f792ea + .long 0x3f7ffafe, 0x39ed0088 + .long 0x3f7ffb38, 0x39e2daa1 + .long 0x3f7ffb6f, 0x39d91d2d + .long 0x3f7ffba5, 0x39cfc44a + .long 0x3f7ffbd7, 0x39c6cc35 + .long 0x3f7ffc08, 0x39be314d + .long 0x3f7ffc36, 0x39b5f011 + .long 0x3f7ffc63, 0x39ae051c + .long 0x3f7ffc8e, 0x39a66d2a + .long 0x3f7ffcb6, 0x399f2512 + .long 0x3f7ffcdd, 0x399829c8 + .long 0x3f7ffd02, 0x3991785a + .long 0x3f7ffd26, 0x398b0df2 + .long 0x3f7ffd48, 0x3984e7d2 + .long 0x3f7ffd68, 0x397e06ab + .long 0x3f7ffd87, 0x3972bbde + .long 0x3f7ffda5, 0x3967ea53 + .long 0x3f7ffdc1, 0x395d8d4b + .long 0x3f7ffddc, 0x3953a034 + .long 0x3f7ffdf6, 0x394a1ea5 + .long 0x3f7ffe0f, 0x3941045e + .long 0x3f7ffe27, 0x39384d47 + .long 0x3f7ffe3d, 0x392ff56d + .long 0x3f7ffe53, 0x3927f904 + .long 0x3f7ffe67, 0x39205461 + .long 0x3f7ffe7b, 0x391903fe + .long 0x3f7ffe8d, 0x39120475 + .long 0x3f7ffe9f, 0x390b5281 + .long 0x3f7ffeb0, 0x3904eafc + .long 0x3f7ffec0, 0x38fd95bd + .long 0x3f7ffed0, 0x38f1de7a + .long 0x3f7ffedf, 0x38e6aa94 + .long 0x3f7ffeed, 0x38dbf4a3 + .long 0x3f7ffefa, 0x38d1b776 + .long 0x3f7fff07, 0x38c7ee0e + .long 0x3f7fff13, 0x38be939c + .long 0x3f7fff1f, 0x38b5a381 + .long 0x3f7fff2a, 0x38ad194e + .long 0x3f7fff34, 0x38a4f0bc + .long 0x3f7fff3f, 0x389d25b0 + .long 0x3f7fff48, 0x3895b43b + .long 0x3f7fff51, 0x388e9890 + .long 0x3f7fff5a, 0x3887cf0e + .long 0x3f7fff62, 0x38815434 + .long 0x3f7fff6a, 0x3876494d + .long 0x3f7fff72, 0x386a7a5a + .long 0x3f7fff79, 0x385f355e + .long 0x3f7fff80, 0x38547466 + .long 0x3f7fff86, 0x384a31bf + .long 0x3f7fff8c, 0x384067ee + .long 0x3f7fff92, 0x383711b4 + .long 0x3f7fff98, 0x382e2a06 + .long 0x3f7fff9d, 0x3825ac0e + .long 0x3f7fffa2, 0x381d9329 + .long 0x3f7fffa7, 0x3815dae6 + .long 0x3f7fffab, 0x380e7f01 + .long 0x3f7fffb0, 0x38077b62 + .long 0x3f7fffb4, 0x3800cc21 + .long 0x3f7fffb8, 0x37f4daf4 + .long 0x3f7fffbc, 0x37e8b7ac + .long 0x3f7fffbf, 0x37dd2782 + .long 0x3f7fffc2, 0x37d223dc + .long 0x3f7fffc6, 0x37c7a666 + .long 0x3f7fffc9, 0x37bda912 + .long 0x3f7fffcc, 0x37b42611 + .long 0x3f7fffce, 0x37ab17d6 + .long 0x3f7fffd1, 0x37a2790f + .long 0x3f7fffd3, 0x379a44a5 + .long 0x3f7fffd6, 0x379275b9 + .long 0x3f7fffd8, 0x378b07a2 + .long 0x3f7fffda, 0x3783f5e9 + .long 0x3f7fffdc, 0x377a7897 + .long 0x3f7fffde, 0x376dad68 + .long 0x3f7fffe0, 0x37618278 + .long 0x3f7fffe2, 0x3755f04f + .long 0x3f7fffe3, 0x374aefcc + .long 0x3f7fffe5, 0x37407a1d + .long 0x3f7fffe6, 0x373688bc + .long 0x3f7fffe8, 0x372d1570 + .long 0x3f7fffe9, 0x37241a44 + .long 0x3f7fffea, 0x371b9188 + .long 0x3f7fffeb, 0x371375cf + .long 0x3f7fffec, 0x370bc1e7 + .long 0x3f7fffee, 0x370470dd + .long 0x3f7fffef, 0x36fafbec + .long 0x3f7fffef, 0x36edc95b + .long 0x3f7ffff0, 0x36e14167 + .long 0x3f7ffff1, 0x36d55bd6 + .long 0x3f7ffff2, 0x36ca10ce + .long 0x3f7ffff3, 0x36bf58d1 + .long 0x3f7ffff4, 0x36b52cb9 + .long 0x3f7ffff4, 0x36ab85b5 + .long 0x3f7ffff5, 0x36a25d43 + .long 0x3f7ffff5, 0x3699ad31 + .long 0x3f7ffff6, 0x36916f95 + .long 0x3f7ffff7, 0x36899ecb + .long 0x3f7ffff7, 0x36823575 + .long 0x3f7ffff8, 0x36765ce8 + .long 0x3f7ffff8, 0x366909cc + .long 0x3f7ffff9, 0x365c684a + .long 0x3f7ffff9, 0x36506f88 + .long 0x3f7ffff9, 0x36451713 + .long 0x3f7ffffa, 0x363a56e4 + .long 0x3f7ffffa, 0x36302754 + .long 0x3f7ffffa, 0x36268119 + .long 0x3f7ffffb, 0x361d5d43 + .long 0x3f7ffffb, 0x3614b538 + .long 0x3f7ffffb, 0x360c82b1 + .long 0x3f7ffffc, 0x3604bfb1 + .long 0x3f7ffffc, 0x35facd10 + .long 0x3f7ffffc, 0x35ece39b + .long 0x3f7ffffc, 0x35dfb8b6 + .long 0x3f7ffffd, 0x35d34296 + .long 0x3f7ffffd, 0x35c777ec + .long 0x3f7ffffd, 0x35bc4fdc + .long 0x3f7ffffd, 0x35b1c1fc + .long 0x3f7ffffd, 0x35a7c64b + .long 0x3f7ffffd, 0x359e5531 + .long 0x3f7ffffe, 0x35956771 + .long 0x3f7ffffe, 0x358cf630 + .long 0x3f7ffffe, 0x3584fae8 + .long 0x3f7ffffe, 0x357adecb + .long 0x3f7ffffe, 0x356c9b8f + .long 0x3f7ffffe, 0x355f20ef + .long 0x3f7ffffe, 0x3552644f + .long 0x3f7ffffe, 0x35465b9c + .long 0x3f7fffff, 0x353afd47 + .long 0x3f7fffff, 0x3530403c + .long 0x3f7fffff, 0x35261be0 + .long 0x3f7fffff, 0x351c8807 + .long 0x3f7fffff, 0x35137cf0 + .long 0x3f7fffff, 0x350af341 + .long 0x3f7fffff, 0x3502e402 + .long 0x3f7fffff, 0x34f6912a + .long 0x3f7fffff, 0x34e8356b + .long 0x3f7fffff, 0x34daa8e4 + .long 0x3f7fffff, 0x34cde050 + .long 0x3f7fffff, 0x34c1d100 + .long 0x3f7fffff, 0x34b670d5 + .long 0x3f7fffff, 0x34abb639 + .long 0x3f7fffff, 0x34a19816 + .long 0x3f7fffff, 0x34980dd1 + .long 0x3f7fffff, 0x348f0f43 + .long 0x3f7fffff, 0x348694b3 + .long 0x3f800000, 0x347d2da8 + .long 0x3f800000, 0x346e1d72 + .align 16 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _AbsMask */ + .align 16 + .long 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000 /* _MaxThreshold */ + .align 16 + .long 0x47800000, 0x47800000, 0x47800000, 0x47800000 /* _SRound */ + .align 16 + .long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000 /* _U2THreshold */ + .align 16 + .long 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade /* _poly_3_0 */ + .align 16 + .type __svml_serf_data_internal,@object + .size __svml_serf_data_internal,.-__svml_serf_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core-sse.S new file mode 100644 index 0000000..4b939f8 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized erff, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVdN8v_erff _ZGVdN8v_erff_sse_wrapper +#include "../svml_s_erff8_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core.c new file mode 100644 index 0000000..50f5901 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized erff, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVdN8v_erff +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN8v_erff, __GI__ZGVdN8v_erff, + __redirect__ZGVdN8v_erff) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core_avx2.S new file mode 100644 index 0000000..4cd82b4 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_erff8_core_avx2.S @@ -0,0 +1,669 @@ +/* Function erff vectorized with AVX2. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * Basic formula is + * erf(x) ~ erf(x0) + + * + exp(-x0*x0)*D*(1+c0+T*P1(T)+D^2*P3(T)+D^4*p5) + * where D=x-x0, T=x0*D + * x0 is x rounded to a specified number of fractional bits (in this case 8), + * except that x0=0 for |x|<3.5/256.0 (using x0=0 for first 4 table entries) + * + * Data table packs both erf(x0)_high and a few bits of erf(x0)_low in one + * entry (in place of redundant exponent bits) + * + */ + +/* Offsets for data table __svml_serf_data_internal + */ +#define _erf_tbl 0 +#define _AbsMask 4032 +#define _MaxThreshold 4064 +#define _SRound 4096 +#define _U2Threshold 4128 +#define _poly3_0 4160 + +/* Lookup bias for data table __svml_serf_data_internal. */ +#define Table_Lookup_Bias -0x3c000000 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8v_erff_avx2) + lea Table_Lookup_Bias+__svml_serf_data_internal(%rip), %rax + +/* + * vector gather: + * erf(x0), exp(-x0*x0)*2.0/sqrt(pi) + */ + vmovups _SRound+__svml_serf_data_internal(%rip), %ymm7 + vandps _AbsMask+__svml_serf_data_internal(%rip), %ymm0, %ymm6 + +/* + * erf(x) rounds to 1.0 for x>_MaxThreshold (3.9375) + * can compute all results in the main path + */ + vminps _MaxThreshold+__svml_serf_data_internal(%rip), %ymm6, %ymm8 + vaddps %ymm7, %ymm8, %ymm10 + vcmpgt_oqps _U2Threshold+__svml_serf_data_internal(%rip), %ymm8, %ymm9 + vpslld $3, %ymm10, %ymm11 + vsubps %ymm7, %ymm10, %ymm4 + vsubps %ymm4, %ymm8, %ymm3 + vandps %ymm9, %ymm3, %ymm2 + +/* NaN fixup */ + vminps %ymm6, %ymm3, %ymm3 + +/* D2 = Diff^2 */ + vmulps %ymm2, %ymm2, %ymm2 + +/* save sign */ + vxorps %ymm0, %ymm6, %ymm5 + vmovd %xmm11, %edx + vextractf128 $1, %ymm11, %xmm12 + vpextrd $2, %xmm11, %esi + movslq %edx, %rdx + movslq %esi, %rsi + vmovd %xmm12, %r8d + vmovq (%rax,%rdx), %xmm13 + vmovq (%rax,%rsi), %xmm14 + vunpcklps %xmm14, %xmm13, %xmm10 + vmovups _poly3_0+__svml_serf_data_internal(%rip), %ymm14 + vpextrd $1, %xmm11, %ecx + vpextrd $3, %xmm11, %edi + vpextrd $1, %xmm12, %r9d + vpextrd $2, %xmm12, %r10d + vpextrd $3, %xmm12, %r11d + +/* + * Start polynomial evaluation + * P1 + */ + vfmsub231ps %ymm14, %ymm3, %ymm4 + movslq %ecx, %rcx + movslq %edi, %rdi + movslq %r8d, %r8 + movslq %r9d, %r9 + movslq %r10d, %r10 + movslq %r11d, %r11 + vmovq (%rax,%rcx), %xmm1 + vmovq (%rax,%rdi), %xmm15 + +/* + * branch-free + * (exp_h(x0) * Diff) * (poly + 1.0) + */ + vfmadd213ps %ymm3, %ymm2, %ymm4 + vmovq (%rax,%r8), %xmm7 + vmovq (%rax,%r9), %xmm0 + vmovq (%rax,%r10), %xmm8 + vmovq (%rax,%r11), %xmm9 + vunpcklps %xmm15, %xmm1, %xmm11 + vunpcklps %xmm8, %xmm7, %xmm1 + vunpcklps %xmm9, %xmm0, %xmm0 + vinsertf128 $1, %xmm1, %ymm10, %ymm12 + vinsertf128 $1, %xmm0, %ymm11, %ymm13 + vunpcklps %ymm13, %ymm12, %ymm0 + vunpckhps %ymm13, %ymm12, %ymm15 + +/* Final result */ + vfmadd213ps %ymm0, %ymm15, %ymm4 + +/* set sign */ + vorps %ymm5, %ymm4, %ymm0 + ret + +END(_ZGVdN8v_erff_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_serf_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(32)) VUINT32 _erf_tbl[1008][1]; + __declspec(align(32)) VUINT32 _AbsMask[8][1]; + __declspec(align(32)) VUINT32 _MaxThreshold[8][1]; + __declspec(align(32)) VUINT32 _SRound[8][1]; + __declspec(align(32)) VUINT32 _U2Threshold[8][1]; + __declspec(align(32)) VUINT32 _poly3_0[8][1]; +} __svml_serf_data_internal; +#endif +__svml_serf_data_internal: + /*== _erf_tbl ==*/ + .long 0x00000000, 0x3f906ebb + .long 0x3c106dfa, 0x3f906c79 + .long 0x3c906bb8, 0x3f9065b4 + .long 0x3cd89bf0, 0x3f905a6c + .long 0x3d1062b2, 0x3f904aa3 + .long 0x3d3472ea, 0x3f90365a + .long 0x3d587d7f, 0x3f901d93 + .long 0x3d7c8154, 0x3f900050 + .long 0x3d903ea4, 0x3f8fde94 + .long 0x3da2381f, 0x3f8fb862 + .long 0x3db42c8d, 0x3f8f8dbd + .long 0x3dc61b5f, 0x3f8f5eab + .long 0x3dd80409, 0x3f8f2b2e + .long 0x3de9e5fc, 0x3f8ef34c + .long 0x3dfbc0ad, 0x3f8eb70a + .long 0x3e06c9c8, 0x3f8e766e + .long 0x3e0faf0d, 0x3f8e317d + .long 0x3e188fe1, 0x3f8de83e + .long 0x3e216bfe, 0x3f8d9ab9 + .long 0x3e2a4321, 0x3f8d48f3 + .long 0x3e331506, 0x3f8cf2f5 + .long 0x3e3be169, 0x3f8c98c6 + .long 0x3e44a808, 0x3f8c3a6f + .long 0x3e4d68a1, 0x3f8bd7f8 + .long 0x3e5622f2, 0x3f8b716c + .long 0x3e5ed6b9, 0x3f8b06d2 + .long 0x3e6783b7, 0x3f8a9834 + .long 0x3e7029aa, 0x3f8a259e + .long 0x3e78c855, 0x3f89af18 + .long 0x3e80afbc, 0x3f8934af + .long 0x3e84f76b, 0x3f88b66c + .long 0x3e893b19, 0x3f88345d + .long 0x3e8d7aa7, 0x3f87ae8b + .long 0x3e91b5f8, 0x3f872504 + .long 0x3e95ecee, 0x3f8697d3 + .long 0x3e9a1f6b, 0x3f860705 + .long 0x3e9e4d54, 0x3f8572a8 + .long 0x3ea2768c, 0x3f84dac8 + .long 0x3ea69af8, 0x3f843f72 + .long 0x3eaaba7a, 0x3f83a0b6 + .long 0x3eaed4fa, 0x3f82fe9f + .long 0x3eb2ea5c, 0x3f82593e + .long 0x3eb6fa85, 0x3f81b0a0 + .long 0x3ebb055d, 0x3f8104d3 + .long 0x3ebf0aca, 0x3f8055e8 + .long 0x3ec30ab3, 0x3f7f47d8 + .long 0x3ec70501, 0x3f7ddddf + .long 0x3ecaf99b, 0x3f7c6e05 + .long 0x3ecee869, 0x3f7af867 + .long 0x3ed2d156, 0x3f797d26 + .long 0x3ed6b44b, 0x3f77fc62 + .long 0x3eda9132, 0x3f76763c + .long 0x3ede67f6, 0x3f74ead4 + .long 0x3ee23882, 0x3f735a4c + .long 0x3ee602c2, 0x3f71c4c4 + .long 0x3ee9c6a2, 0x3f702a5f + .long 0x3eed840e, 0x3f6e8b3e + .long 0x3ef13af5, 0x3f6ce783 + .long 0x3ef4eb45, 0x3f6b3f51 + .long 0x3ef894ea, 0x3f6992c9 + .long 0x3efc37d5, 0x3f67e20f + .long 0x3effd3f5, 0x3f662d45 + .long 0x3f01b49d, 0x3f64748e + .long 0x3f037bca, 0x3f62b80d + .long 0x3f053f7b, 0x3f60f7e5 + .long 0x3f06ffa8, 0x3f5f3439 + .long 0x3f08bc4a, 0x3f5d6d2d + .long 0x3f0a755a, 0x3f5ba2e3 + .long 0x3f0c2ad3, 0x3f59d57e + .long 0x3f0ddcae, 0x3f580523 + .long 0x3f0f8ae6, 0x3f5631f4 + .long 0x3f113574, 0x3f545c14 + .long 0x3f12dc54, 0x3f5283a7 + .long 0x3f147f81, 0x3f50a8cf + .long 0x3f161ef6, 0x3f4ecbb1 + .long 0x3f17baae, 0x3f4cec6d + .long 0x3f1952a6, 0x3f4b0b28 + .long 0x3f1ae6da, 0x3f492804 + .long 0x3f1c7745, 0x3f474323 + .long 0x3f1e03e5, 0x3f455ca8 + .long 0x3f1f8cb7, 0x3f4374b5 + .long 0x3f2111b7, 0x3f418b6b + .long 0x3f2292e4, 0x3f3fa0ee + .long 0x3f24103a, 0x3f3db55e + .long 0x3f2589b9, 0x3f3bc8dc + .long 0x3f26ff5d, 0x3f39db8a + .long 0x3f287126, 0x3f37ed89 + .long 0x3f29df13, 0x3f35fef8 + .long 0x3f2b4922, 0x3f340ff9 + .long 0x3f2caf53, 0x3f3220ab + .long 0x3f2e11a4, 0x3f30312e + .long 0x3f2f7017, 0x3f2e41a1 + .long 0x3f30caab, 0x3f2c5223 + .long 0x3f322160, 0x3f2a62d3 + .long 0x3f337437, 0x3f2873cf + .long 0x3f34c32f, 0x3f268534 + .long 0x3f360e4c, 0x3f249721 + .long 0x3f37558c, 0x3f22a9b3 + .long 0x3f3898f3, 0x3f20bd06 + .long 0x3f39d881, 0x3f1ed137 + .long 0x3f3b1438, 0x3f1ce661 + .long 0x3f3c4c1b, 0x3f1afca0 + .long 0x3f3d802c, 0x3f19140f + .long 0x3f3eb06c, 0x3f172cc9 + .long 0x3f3fdce0, 0x3f1546e7 + .long 0x3f410589, 0x3f136284 + .long 0x3f422a6b, 0x3f117fb9 + .long 0x3f434b89, 0x3f0f9e9e + .long 0x3f4468e7, 0x3f0dbf4c + .long 0x3f458287, 0x3f0be1db + .long 0x3f46986f, 0x3f0a0662 + .long 0x3f47aaa2, 0x3f082cf7 + .long 0x3f48b925, 0x3f0655b1 + .long 0x3f49c3fb, 0x3f0480a6 + .long 0x3f4acb29, 0x3f02adeb + .long 0x3f4bceb4, 0x3f00dd96 + .long 0x3f4ccea1, 0x3efe1f73 + .long 0x3f4dcaf4, 0x3efa88d5 + .long 0x3f4ec3b4, 0x3ef6f777 + .long 0x3f4fb8e5, 0x3ef36b80 + .long 0x3f50aa8d, 0x3eefe513 + .long 0x3f5198b1, 0x3eec6455 + .long 0x3f528358, 0x3ee8e968 + .long 0x3f536a86, 0x3ee5746d + .long 0x3f544e43, 0x3ee20584 + .long 0x3f552e93, 0x3ede9ccc + .long 0x3f560b7e, 0x3edb3a64 + .long 0x3f56e50a, 0x3ed7de6a + .long 0x3f57bb3d, 0x3ed488f8 + .long 0x3f588e1e, 0x3ed13a2b + .long 0x3f595db4, 0x3ecdf21c + .long 0x3f5a2a05, 0x3ecab0e4 + .long 0x3f5af318, 0x3ec7769b + .long 0x3f5bb8f4, 0x3ec44359 + .long 0x3f5c7ba1, 0x3ec11733 + .long 0x3f5d3b25, 0x3ebdf23d + .long 0x3f5df788, 0x3ebad48d + .long 0x3f5eb0d1, 0x3eb7be35 + .long 0x3f5f6707, 0x3eb4af46 + .long 0x3f601a32, 0x3eb1a7d3 + .long 0x3f60ca59, 0x3eaea7ea + .long 0x3f617784, 0x3eabaf9a + .long 0x3f6221bb, 0x3ea8bef3 + .long 0x3f62c905, 0x3ea5d600 + .long 0x3f636d69, 0x3ea2f4ce + .long 0x3f640ef1, 0x3ea01b68 + .long 0x3f64ada3, 0x3e9d49d9 + .long 0x3f654987, 0x3e9a8029 + .long 0x3f65e2a6, 0x3e97be62 + .long 0x3f667906, 0x3e95048b + .long 0x3f670cb1, 0x3e9252aa + .long 0x3f679dae, 0x3e8fa8c5 + .long 0x3f682c06, 0x3e8d06e3 + .long 0x3f68b7bf, 0x3e8a6d05 + .long 0x3f6940e2, 0x3e87db31 + .long 0x3f69c778, 0x3e855168 + .long 0x3f6a4b88, 0x3e82cfad + .long 0x3f6acd1a, 0x3e805600 + .long 0x3f6b4c36, 0x3e7bc8c2 + .long 0x3f6bc8e5, 0x3e76f5a0 + .long 0x3f6c432f, 0x3e723298 + .long 0x3f6cbb1b, 0x3e6d7fa5 + .long 0x3f6d30b1, 0x3e68dcc1 + .long 0x3f6da3fa, 0x3e6449e7 + .long 0x3f6e14fe, 0x3e5fc70e + .long 0x3f6e83c4, 0x3e5b542b + .long 0x3f6ef055, 0x3e56f136 + .long 0x3f6f5ab8, 0x3e529e21 + .long 0x3f6fc2f5, 0x3e4e5adf + .long 0x3f702915, 0x3e4a2761 + .long 0x3f708d1f, 0x3e460399 + .long 0x3f70ef1b, 0x3e41ef75 + .long 0x3f714f11, 0x3e3deae4 + .long 0x3f71ad09, 0x3e39f5d2 + .long 0x3f72090a, 0x3e36102b + .long 0x3f72631c, 0x3e3239db + .long 0x3f72bb46, 0x3e2e72cb + .long 0x3f731191, 0x3e2abae4 + .long 0x3f736604, 0x3e27120f + .long 0x3f73b8a5, 0x3e237833 + .long 0x3f74097e, 0x3e1fed36 + .long 0x3f745895, 0x3e1c70fd + .long 0x3f74a5f2, 0x3e19036e + .long 0x3f74f19b, 0x3e15a46d + .long 0x3f753b98, 0x3e1253dc + .long 0x3f7583f1, 0x3e0f119f + .long 0x3f75caac, 0x3e0bdd96 + .long 0x3f760fd1, 0x3e08b7a4 + .long 0x3f765366, 0x3e059fa9 + .long 0x3f769573, 0x3e029586 + .long 0x3f76d5fe, 0x3dff3230 + .long 0x3f77150f, 0x3df95481 + .long 0x3f7752ab, 0x3df391b9 + .long 0x3f778eda, 0x3dede995 + .long 0x3f77c9a2, 0x3de85bd0 + .long 0x3f78030a, 0x3de2e825 + .long 0x3f783b18, 0x3ddd8e4c + .long 0x3f7871d3, 0x3dd84dfe + .long 0x3f78a741, 0x3dd326f3 + .long 0x3f78db68, 0x3dce18e3 + .long 0x3f790e50, 0x3dc92385 + .long 0x3f793ffc, 0x3dc4468f + .long 0x3f797075, 0x3dbf81b6 + .long 0x3f799fbf, 0x3dbad4b0 + .long 0x3f79cde1, 0x3db63f32 + .long 0x3f79fae1, 0x3db1c0f1 + .long 0x3f7a26c4, 0x3dad59a1 + .long 0x3f7a518f, 0x3da908f6 + .long 0x3f7a7b4a, 0x3da4cea4 + .long 0x3f7aa3f9, 0x3da0aa5e + .long 0x3f7acba1, 0x3d9c9bd9 + .long 0x3f7af248, 0x3d98a2c7 + .long 0x3f7b17f4, 0x3d94bedd + .long 0x3f7b3ca9, 0x3d90efcd + .long 0x3f7b606e, 0x3d8d354b + .long 0x3f7b8346, 0x3d898f0a + .long 0x3f7ba537, 0x3d85fcbf + .long 0x3f7bc646, 0x3d827e1d + .long 0x3f7be677, 0x3d7e25af + .long 0x3f7c05d1, 0x3d777546 + .long 0x3f7c2456, 0x3d70ea68 + .long 0x3f7c420d, 0x3d6a847d + .long 0x3f7c5ef9, 0x3d6442f0 + .long 0x3f7c7b1f, 0x3d5e252a + .long 0x3f7c9684, 0x3d582a98 + .long 0x3f7cb12b, 0x3d5252a5 + .long 0x3f7ccb1a, 0x3d4c9cbd + .long 0x3f7ce454, 0x3d47084e + .long 0x3f7cfcdd, 0x3d4194c7 + .long 0x3f7d14ba, 0x3d3c4196 + .long 0x3f7d2bef, 0x3d370e2c + .long 0x3f7d427f, 0x3d31f9fb + .long 0x3f7d586f, 0x3d2d0474 + .long 0x3f7d6dc2, 0x3d282d0c + .long 0x3f7d827b, 0x3d237336 + .long 0x3f7d96a0, 0x3d1ed669 + .long 0x3f7daa32, 0x3d1a561b + .long 0x3f7dbd36, 0x3d15f1c6 + .long 0x3f7dcfb0, 0x3d11a8e1 + .long 0x3f7de1a2, 0x3d0d7ae9 + .long 0x3f7df30f, 0x3d09675a + .long 0x3f7e03fd, 0x3d056db0 + .long 0x3f7e146c, 0x3d018d6b + .long 0x3f7e2461, 0x3cfb8c15 + .long 0x3f7e33de, 0x3cf42e22 + .long 0x3f7e42e8, 0x3ced0003 + .long 0x3f7e517f, 0x3ce600c0 + .long 0x3f7e5fa9, 0x3cdf2f67 + .long 0x3f7e6d66, 0x3cd88b05 + .long 0x3f7e7abb, 0x3cd212ad + .long 0x3f7e87aa, 0x3ccbc574 + .long 0x3f7e9435, 0x3cc5a273 + .long 0x3f7ea05f, 0x3cbfa8c4 + .long 0x3f7eac2b, 0x3cb9d786 + .long 0x3f7eb79a, 0x3cb42ddb + .long 0x3f7ec2b1, 0x3caeaae6 + .long 0x3f7ecd71, 0x3ca94dcf + .long 0x3f7ed7dc, 0x3ca415c2 + .long 0x3f7ee1f4, 0x3c9f01ec + .long 0x3f7eebbd, 0x3c9a117f + .long 0x3f7ef537, 0x3c9543ae + .long 0x3f7efe66, 0x3c9097b1 + .long 0x3f7f074b, 0x3c8c0cc2 + .long 0x3f7f0fe8, 0x3c87a21f + .long 0x3f7f1840, 0x3c83570a + .long 0x3f7f2053, 0x3c7e558a + .long 0x3f7f2826, 0x3c763931 + .long 0x3f7f2fb8, 0x3c6e579b + .long 0x3f7f370c, 0x3c66af65 + .long 0x3f7f3e23, 0x3c5f3f2d + .long 0x3f7f4500, 0x3c58059c + .long 0x3f7f4ba4, 0x3c51015f + .long 0x3f7f5211, 0x3c4a3127 + .long 0x3f7f5848, 0x3c4393af + .long 0x3f7f5e4b, 0x3c3d27b5 + .long 0x3f7f641b, 0x3c36ebff + .long 0x3f7f69ba, 0x3c30df57 + .long 0x3f7f6f29, 0x3c2b008e + .long 0x3f7f746a, 0x3c254e7b + .long 0x3f7f797f, 0x3c1fc7fb + .long 0x3f7f7e67, 0x3c1a6bee + .long 0x3f7f8326, 0x3c15393d + .long 0x3f7f87bb, 0x3c102ed6 + .long 0x3f7f8c29, 0x3c0b4bab + .long 0x3f7f9070, 0x3c068eb5 + .long 0x3f7f9492, 0x3c01f6f1 + .long 0x3f7f9890, 0x3bfb06c5 + .long 0x3f7f9c6b, 0x3bf26625 + .long 0x3f7fa024, 0x3bea0a1d + .long 0x3f7fa3bc, 0x3be1f0d3 + .long 0x3f7fa734, 0x3bda1876 + .long 0x3f7faa8d, 0x3bd27f42 + .long 0x3f7fadc8, 0x3bcb237a + .long 0x3f7fb0e6, 0x3bc4036c + .long 0x3f7fb3e8, 0x3bbd1d6f + .long 0x3f7fb6cf, 0x3bb66fe6 + .long 0x3f7fb99c, 0x3baff93b + .long 0x3f7fbc4f, 0x3ba9b7e1 + .long 0x3f7fbeea, 0x3ba3aa56 + .long 0x3f7fc16d, 0x3b9dcf20 + .long 0x3f7fc3d9, 0x3b9824ce + .long 0x3f7fc62e, 0x3b92a9f7 + .long 0x3f7fc86e, 0x3b8d5d3c + .long 0x3f7fca99, 0x3b883d46 + .long 0x3f7fccb0, 0x3b8348c6 + .long 0x3f7fceb4, 0x3b7cfce8 + .long 0x3f7fd0a5, 0x3b73ba24 + .long 0x3f7fd283, 0x3b6ac6d3 + .long 0x3f7fd450, 0x3b622096 + .long 0x3f7fd60c, 0x3b59c51d + .long 0x3f7fd7b7, 0x3b51b22a + .long 0x3f7fd953, 0x3b49e589 + .long 0x3f7fdadf, 0x3b425d18 + .long 0x3f7fdc5c, 0x3b3b16c2 + .long 0x3f7fddcc, 0x3b341080 + .long 0x3f7fdf2d, 0x3b2d4858 + .long 0x3f7fe081, 0x3b26bc5e + .long 0x3f7fe1c8, 0x3b206ab2 + .long 0x3f7fe303, 0x3b1a5183 + .long 0x3f7fe431, 0x3b146f09 + .long 0x3f7fe554, 0x3b0ec18c + .long 0x3f7fe66c, 0x3b09475d + .long 0x3f7fe77a, 0x3b03feda + .long 0x3f7fe87d, 0x3afdccdc + .long 0x3f7fe975, 0x3af3f919 + .long 0x3f7fea65, 0x3aea7f6c + .long 0x3f7feb4b, 0x3ae15ce8 + .long 0x3f7fec27, 0x3ad88eb8 + .long 0x3f7fecfc, 0x3ad0121b + .long 0x3f7fedc8, 0x3ac7e464 + .long 0x3f7fee8c, 0x3ac002f8 + .long 0x3f7fef48, 0x3ab86b52 + .long 0x3f7feffd, 0x3ab11afe + .long 0x3f7ff0aa, 0x3aaa0f9a + .long 0x3f7ff151, 0x3aa346d7 + .long 0x3f7ff1f1, 0x3a9cbe77 + .long 0x3f7ff28a, 0x3a96744c + .long 0x3f7ff31e, 0x3a90663b + .long 0x3f7ff3ab, 0x3a8a9237 + .long 0x3f7ff433, 0x3a84f643 + .long 0x3f7ff4b5, 0x3a7f20e7 + .long 0x3f7ff532, 0x3a74bdd2 + .long 0x3f7ff5aa, 0x3a6abfa9 + .long 0x3f7ff61d, 0x3a6122ea + .long 0x3f7ff68b, 0x3a57e42f + .long 0x3f7ff6f5, 0x3a4f002c + .long 0x3f7ff75a, 0x3a4673af + .long 0x3f7ff7bb, 0x3a3e3ba2 + .long 0x3f7ff819, 0x3a365507 + .long 0x3f7ff872, 0x3a2ebcf6 + .long 0x3f7ff8c7, 0x3a2770a1 + .long 0x3f7ff919, 0x3a206d52 + .long 0x3f7ff968, 0x3a19b066 + .long 0x3f7ff9b3, 0x3a133754 + .long 0x3f7ff9fb, 0x3a0cffa3 + .long 0x3f7ffa40, 0x3a0706f4 + .long 0x3f7ffa82, 0x3a014af8 + .long 0x3f7ffac1, 0x39f792ea + .long 0x3f7ffafe, 0x39ed0088 + .long 0x3f7ffb38, 0x39e2daa1 + .long 0x3f7ffb6f, 0x39d91d2d + .long 0x3f7ffba5, 0x39cfc44a + .long 0x3f7ffbd7, 0x39c6cc35 + .long 0x3f7ffc08, 0x39be314d + .long 0x3f7ffc36, 0x39b5f011 + .long 0x3f7ffc63, 0x39ae051c + .long 0x3f7ffc8e, 0x39a66d2a + .long 0x3f7ffcb6, 0x399f2512 + .long 0x3f7ffcdd, 0x399829c8 + .long 0x3f7ffd02, 0x3991785a + .long 0x3f7ffd26, 0x398b0df2 + .long 0x3f7ffd48, 0x3984e7d2 + .long 0x3f7ffd68, 0x397e06ab + .long 0x3f7ffd87, 0x3972bbde + .long 0x3f7ffda5, 0x3967ea53 + .long 0x3f7ffdc1, 0x395d8d4b + .long 0x3f7ffddc, 0x3953a034 + .long 0x3f7ffdf6, 0x394a1ea5 + .long 0x3f7ffe0f, 0x3941045e + .long 0x3f7ffe27, 0x39384d47 + .long 0x3f7ffe3d, 0x392ff56d + .long 0x3f7ffe53, 0x3927f904 + .long 0x3f7ffe67, 0x39205461 + .long 0x3f7ffe7b, 0x391903fe + .long 0x3f7ffe8d, 0x39120475 + .long 0x3f7ffe9f, 0x390b5281 + .long 0x3f7ffeb0, 0x3904eafc + .long 0x3f7ffec0, 0x38fd95bd + .long 0x3f7ffed0, 0x38f1de7a + .long 0x3f7ffedf, 0x38e6aa94 + .long 0x3f7ffeed, 0x38dbf4a3 + .long 0x3f7ffefa, 0x38d1b776 + .long 0x3f7fff07, 0x38c7ee0e + .long 0x3f7fff13, 0x38be939c + .long 0x3f7fff1f, 0x38b5a381 + .long 0x3f7fff2a, 0x38ad194e + .long 0x3f7fff34, 0x38a4f0bc + .long 0x3f7fff3f, 0x389d25b0 + .long 0x3f7fff48, 0x3895b43b + .long 0x3f7fff51, 0x388e9890 + .long 0x3f7fff5a, 0x3887cf0e + .long 0x3f7fff62, 0x38815434 + .long 0x3f7fff6a, 0x3876494d + .long 0x3f7fff72, 0x386a7a5a + .long 0x3f7fff79, 0x385f355e + .long 0x3f7fff80, 0x38547466 + .long 0x3f7fff86, 0x384a31bf + .long 0x3f7fff8c, 0x384067ee + .long 0x3f7fff92, 0x383711b4 + .long 0x3f7fff98, 0x382e2a06 + .long 0x3f7fff9d, 0x3825ac0e + .long 0x3f7fffa2, 0x381d9329 + .long 0x3f7fffa7, 0x3815dae6 + .long 0x3f7fffab, 0x380e7f01 + .long 0x3f7fffb0, 0x38077b62 + .long 0x3f7fffb4, 0x3800cc21 + .long 0x3f7fffb8, 0x37f4daf4 + .long 0x3f7fffbc, 0x37e8b7ac + .long 0x3f7fffbf, 0x37dd2782 + .long 0x3f7fffc2, 0x37d223dc + .long 0x3f7fffc6, 0x37c7a666 + .long 0x3f7fffc9, 0x37bda912 + .long 0x3f7fffcc, 0x37b42611 + .long 0x3f7fffce, 0x37ab17d6 + .long 0x3f7fffd1, 0x37a2790f + .long 0x3f7fffd3, 0x379a44a5 + .long 0x3f7fffd6, 0x379275b9 + .long 0x3f7fffd8, 0x378b07a2 + .long 0x3f7fffda, 0x3783f5e9 + .long 0x3f7fffdc, 0x377a7897 + .long 0x3f7fffde, 0x376dad68 + .long 0x3f7fffe0, 0x37618278 + .long 0x3f7fffe2, 0x3755f04f + .long 0x3f7fffe3, 0x374aefcc + .long 0x3f7fffe5, 0x37407a1d + .long 0x3f7fffe6, 0x373688bc + .long 0x3f7fffe8, 0x372d1570 + .long 0x3f7fffe9, 0x37241a44 + .long 0x3f7fffea, 0x371b9188 + .long 0x3f7fffeb, 0x371375cf + .long 0x3f7fffec, 0x370bc1e7 + .long 0x3f7fffee, 0x370470dd + .long 0x3f7fffef, 0x36fafbec + .long 0x3f7fffef, 0x36edc95b + .long 0x3f7ffff0, 0x36e14167 + .long 0x3f7ffff1, 0x36d55bd6 + .long 0x3f7ffff2, 0x36ca10ce + .long 0x3f7ffff3, 0x36bf58d1 + .long 0x3f7ffff4, 0x36b52cb9 + .long 0x3f7ffff4, 0x36ab85b5 + .long 0x3f7ffff5, 0x36a25d43 + .long 0x3f7ffff5, 0x3699ad31 + .long 0x3f7ffff6, 0x36916f95 + .long 0x3f7ffff7, 0x36899ecb + .long 0x3f7ffff7, 0x36823575 + .long 0x3f7ffff8, 0x36765ce8 + .long 0x3f7ffff8, 0x366909cc + .long 0x3f7ffff9, 0x365c684a + .long 0x3f7ffff9, 0x36506f88 + .long 0x3f7ffff9, 0x36451713 + .long 0x3f7ffffa, 0x363a56e4 + .long 0x3f7ffffa, 0x36302754 + .long 0x3f7ffffa, 0x36268119 + .long 0x3f7ffffb, 0x361d5d43 + .long 0x3f7ffffb, 0x3614b538 + .long 0x3f7ffffb, 0x360c82b1 + .long 0x3f7ffffc, 0x3604bfb1 + .long 0x3f7ffffc, 0x35facd10 + .long 0x3f7ffffc, 0x35ece39b + .long 0x3f7ffffc, 0x35dfb8b6 + .long 0x3f7ffffd, 0x35d34296 + .long 0x3f7ffffd, 0x35c777ec + .long 0x3f7ffffd, 0x35bc4fdc + .long 0x3f7ffffd, 0x35b1c1fc + .long 0x3f7ffffd, 0x35a7c64b + .long 0x3f7ffffd, 0x359e5531 + .long 0x3f7ffffe, 0x35956771 + .long 0x3f7ffffe, 0x358cf630 + .long 0x3f7ffffe, 0x3584fae8 + .long 0x3f7ffffe, 0x357adecb + .long 0x3f7ffffe, 0x356c9b8f + .long 0x3f7ffffe, 0x355f20ef + .long 0x3f7ffffe, 0x3552644f + .long 0x3f7ffffe, 0x35465b9c + .long 0x3f7fffff, 0x353afd47 + .long 0x3f7fffff, 0x3530403c + .long 0x3f7fffff, 0x35261be0 + .long 0x3f7fffff, 0x351c8807 + .long 0x3f7fffff, 0x35137cf0 + .long 0x3f7fffff, 0x350af341 + .long 0x3f7fffff, 0x3502e402 + .long 0x3f7fffff, 0x34f6912a + .long 0x3f7fffff, 0x34e8356b + .long 0x3f7fffff, 0x34daa8e4 + .long 0x3f7fffff, 0x34cde050 + .long 0x3f7fffff, 0x34c1d100 + .long 0x3f7fffff, 0x34b670d5 + .long 0x3f7fffff, 0x34abb639 + .long 0x3f7fffff, 0x34a19816 + .long 0x3f7fffff, 0x34980dd1 + .long 0x3f7fffff, 0x348f0f43 + .long 0x3f7fffff, 0x348694b3 + .long 0x3f800000, 0x347d2da8 + .long 0x3f800000, 0x346e1d72 + .align 32 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _AbsMask */ + .align 32 + .long 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000, 0x407b8000 /* _MaxThreshold */ + .align 32 + .long 0x47800000, 0x47800000, 0x47800000, 0x47800000, 0x47800000, 0x47800000, 0x47800000, 0x47800000 /* _SRound */ + .align 32 + .long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000 /* _U2THreshold */ + .align 32 + .long 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade, 0xbeaaaade /* _poly_3_0 */ + .align 32 + .type __svml_serf_data_internal,@object + .size __svml_serf_data_internal,.-__svml_serf_data_internal diff --git a/sysdeps/x86_64/fpu/svml_d_erf2_core.S b/sysdeps/x86_64/fpu/svml_d_erf2_core.S new file mode 100644 index 0000000..6ef30af --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_erf2_core.S @@ -0,0 +1,29 @@ +/* Function erf vectorized with SSE2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVbN2v_erf) +WRAPPER_IMPL_SSE2 erf +END (_ZGVbN2v_erf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN2v_erf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_erf4_core.S b/sysdeps/x86_64/fpu/svml_d_erf4_core.S new file mode 100644 index 0000000..2ca8dfe --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_erf4_core.S @@ -0,0 +1,29 @@ +/* Function erf vectorized with AVX2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVdN4v_erf) +WRAPPER_IMPL_AVX _ZGVbN2v_erf +END (_ZGVdN4v_erf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN4v_erf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_erf4_core_avx.S b/sysdeps/x86_64/fpu/svml_d_erf4_core_avx.S new file mode 100644 index 0000000..264ff09 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_erf4_core_avx.S @@ -0,0 +1,25 @@ +/* Function erf vectorized in AVX ISA as wrapper to SSE4 ISA version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVcN4v_erf) +WRAPPER_IMPL_AVX _ZGVbN2v_erf +END (_ZGVcN4v_erf) diff --git a/sysdeps/x86_64/fpu/svml_d_erf8_core.S b/sysdeps/x86_64/fpu/svml_d_erf8_core.S new file mode 100644 index 0000000..de8c2a4 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_erf8_core.S @@ -0,0 +1,25 @@ +/* Function erf vectorized with AVX-512, wrapper to AVX2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVeN8v_erf) +WRAPPER_IMPL_AVX512 _ZGVdN4v_erf +END (_ZGVeN8v_erf) diff --git a/sysdeps/x86_64/fpu/svml_s_erff16_core.S b/sysdeps/x86_64/fpu/svml_s_erff16_core.S new file mode 100644 index 0000000..2c5037a --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_erff16_core.S @@ -0,0 +1,25 @@ +/* Function erff vectorized with AVX-512. Wrapper to AVX2 version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVeN16v_erff) +WRAPPER_IMPL_AVX512 _ZGVdN8v_erff +END (_ZGVeN16v_erff) diff --git a/sysdeps/x86_64/fpu/svml_s_erff4_core.S b/sysdeps/x86_64/fpu/svml_s_erff4_core.S new file mode 100644 index 0000000..0f58bb7 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_erff4_core.S @@ -0,0 +1,29 @@ +/* Function erff vectorized with SSE2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVbN4v_erff) +WRAPPER_IMPL_SSE2 erff +END (_ZGVbN4v_erff) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN4v_erff) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_erff8_core.S b/sysdeps/x86_64/fpu/svml_s_erff8_core.S new file mode 100644 index 0000000..a9f287c --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_erff8_core.S @@ -0,0 +1,29 @@ +/* Function erff vectorized with AVX2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVdN8v_erff) +WRAPPER_IMPL_AVX _ZGVbN4v_erff +END (_ZGVdN8v_erff) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN8v_erff) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_erff8_core_avx.S b/sysdeps/x86_64/fpu/svml_s_erff8_core_avx.S new file mode 100644 index 0000000..ca5a804 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_erff8_core_avx.S @@ -0,0 +1,25 @@ +/* Function erff vectorized in AVX ISA as wrapper to SSE4 ISA version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVcN8v_erff) +WRAPPER_IMPL_AVX _ZGVbN4v_erff +END (_ZGVcN8v_erff) diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx.c b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx.c new file mode 100644 index 0000000..a2eceef --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx.c @@ -0,0 +1 @@ +#include "test-double-libmvec-erf.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx2.c b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx2.c new file mode 100644 index 0000000..a2eceef --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx2.c @@ -0,0 +1 @@ +#include "test-double-libmvec-erf.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx512f.c b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx512f.c new file mode 100644 index 0000000..a2eceef --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-erf-avx512f.c @@ -0,0 +1 @@ +#include "test-double-libmvec-erf.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-erf.c b/sysdeps/x86_64/fpu/test-double-libmvec-erf.c new file mode 100644 index 0000000..c1ded24 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-erf.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE double +#define LIBMVEC_FUNC erf +#include "test-vector-abi-arg1.h" diff --git a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c index db7ae3e..9d91ccf 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVbN2v_log2) VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVbN2v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVbN2v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVbN2v_acosh) +VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVbN2v_erf) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c index 269ae38..9e86d5f 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c @@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVdN4v_log2) VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVdN4v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVdN4v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVdN4v_acosh) +VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVdN4v_erf) #ifndef __ILP32__ # define VEC_INT_TYPE __m256i diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c index d95b960..0f4ef00 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVcN4v_log2) VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVcN4v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVcN4v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVcN4v_acosh) +VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVcN4v_erf) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c index a22f08b..975dff8 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVeN8v_log2) VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVeN8v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVeN8v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVeN8v_acosh) +VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVeN8v_erf) #ifndef __ILP32__ # define VEC_INT_TYPE __m512i diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx.c b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx.c new file mode 100644 index 0000000..8cdf4dc --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx.c @@ -0,0 +1 @@ +#include "test-float-libmvec-erff.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx2.c b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx2.c new file mode 100644 index 0000000..8cdf4dc --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx2.c @@ -0,0 +1 @@ +#include "test-float-libmvec-erff.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx512f.c b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx512f.c new file mode 100644 index 0000000..8cdf4dc --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-erff-avx512f.c @@ -0,0 +1 @@ +#include "test-float-libmvec-erff.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-erff.c b/sysdeps/x86_64/fpu/test-float-libmvec-erff.c new file mode 100644 index 0000000..ba83826 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-erff.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE float +#define LIBMVEC_FUNC erff +#include "test-vector-abi-arg1.h" diff --git a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c index 7982ae2..2b1e273 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVeN16v_log2f) VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVeN16v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVeN16v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVeN16v_acoshf) +VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVeN16v_erff) #define VEC_INT_TYPE __m512i diff --git a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c index bdfcbea..78428bf 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVbN4v_log2f) VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVbN4v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVbN4v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVbN4v_acoshf) +VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVbN4v_erff) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c index 7b3ba81..dadd4e6 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c @@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVdN8v_log2f) VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVdN8v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVdN8v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVdN8v_acoshf) +VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVdN8v_erff) /* Redefinition of wrapper to be compatible with _ZGVdN8vvv_sincosf. */ #undef VECTOR_WRAPPER_fFF diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c index a13d2e4..7b2d583 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c @@ -43,6 +43,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVcN8v_log2f) VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVcN8v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVcN8v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVcN8v_acoshf) +VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVcN8v_erff) #define VEC_INT_TYPE __m128i |