diff options
Diffstat (limited to 'sysdeps/x86_64')
45 files changed, 3730 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/Makeconfig b/sysdeps/x86_64/fpu/Makeconfig index 96a40856fa..ba37044e9d 100644 --- a/sysdeps/x86_64/fpu/Makeconfig +++ b/sysdeps/x86_64/fpu/Makeconfig @@ -35,6 +35,7 @@ libmvec-funcs = \ expm1 \ hypot \ log \ + log10 \ pow \ sin \ sincos \ diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions index f58c98eb45..8beaf0736f 100644 --- a/sysdeps/x86_64/fpu/Versions +++ b/sysdeps/x86_64/fpu/Versions @@ -22,6 +22,7 @@ libmvec { _ZGVbN2v_exp10; _ZGVcN4v_exp10; _ZGVdN4v_exp10; _ZGVeN8v_exp10; _ZGVbN2v_exp2; _ZGVcN4v_exp2; _ZGVdN4v_exp2; _ZGVeN8v_exp2; _ZGVbN2v_expm1; _ZGVcN4v_expm1; _ZGVdN4v_expm1; _ZGVeN8v_expm1; + _ZGVbN2v_log10; _ZGVcN4v_log10; _ZGVdN4v_log10; _ZGVeN8v_log10; _ZGVbN2v_sinh; _ZGVcN4v_sinh; _ZGVdN4v_sinh; _ZGVeN8v_sinh; _ZGVbN2vv_atan2; _ZGVcN4vv_atan2; _ZGVdN4vv_atan2; _ZGVeN8vv_atan2; _ZGVbN2vv_hypot; _ZGVcN4vv_hypot; _ZGVdN4vv_hypot; _ZGVeN8vv_hypot; @@ -33,6 +34,7 @@ libmvec { _ZGVbN4v_exp10f; _ZGVcN8v_exp10f; _ZGVdN8v_exp10f; _ZGVeN16v_exp10f; _ZGVbN4v_exp2f; _ZGVcN8v_exp2f; _ZGVdN8v_exp2f; _ZGVeN16v_exp2f; _ZGVbN4v_expm1f; _ZGVcN8v_expm1f; _ZGVdN8v_expm1f; _ZGVeN16v_expm1f; + _ZGVbN4v_log10f; _ZGVcN8v_log10f; _ZGVdN8v_log10f; _ZGVeN16v_log10f; _ZGVbN4v_sinhf; _ZGVcN8v_sinhf; _ZGVdN8v_sinhf; _ZGVeN16v_sinhf; _ZGVbN4vv_atan2f; _ZGVcN8vv_atan2f; _ZGVdN8vv_atan2f; _ZGVeN16vv_atan2f; _ZGVbN4vv_hypotf; _ZGVcN8vv_hypotf; _ZGVdN8vv_hypotf; _ZGVeN16vv_hypotf; diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 6f59c61756..b0cd9d60ea 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -1641,6 +1641,26 @@ float: 2 float128: 1 ldouble: 1 +Function: "log10_vlen16": +float: 1 + +Function: "log10_vlen2": +double: 1 + +Function: "log10_vlen4": +double: 1 +float: 1 + +Function: "log10_vlen4_avx2": +double: 1 + +Function: "log10_vlen8": +double: 1 +float: 1 + +Function: "log10_vlen8_avx2": +float: 1 + Function: "log1p": double: 1 float: 1 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core-sse2.S new file mode 100644 index 0000000000..e654db6d6c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized log10, 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_log10 _ZGVbN2v_log10_sse2 +#include "../svml_d_log102_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core.c new file mode 100644 index 0000000000..1c775f33b6 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized log10, 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_log10 +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN2v_log10, __GI__ZGVbN2v_log10, __redirect__ZGVbN2v_log10) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core_sse4.S new file mode 100644 index 0000000000..f82364cc9d --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log102_core_sse4.S @@ -0,0 +1,1089 @@ +/* Function log10 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_dlog10_data_internal + */ +#define Log_HA_table 0 +#define Log_LA_table 4112 +#define poly_coeff 8224 +#define ExpMask 8304 +#define Two10 8320 +#define MinNorm 8336 +#define MaxNorm 8352 +#define HalfMask 8368 +#define One 8384 +#define Threshold 8400 +#define Bias 8416 +#define Bias1 8432 +#define L2 8448 + +/* Lookup bias for data table __svml_dlog10_data_internal. */ +#define Table_Lookup_Bias -0x406ff0 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN2v_log10_sse4) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + subq $64, %rsp + +/* exponent bits */ + movaps %xmm0, %xmm5 + +/* preserve mantissa, set input exponent to 2^(-10) */ + movups ExpMask+__svml_dlog10_data_internal(%rip), %xmm1 + psrlq $20, %xmm5 + andps %xmm0, %xmm1 + lea Table_Lookup_Bias+__svml_dlog10_data_internal(%rip), %rsi + orps Two10+__svml_dlog10_data_internal(%rip), %xmm1 + +/* check range */ + movaps %xmm0, %xmm8 + +/* reciprocal approximation good to at least 11 bits */ + cvtpd2ps %xmm1, %xmm2 + cmpltpd MinNorm+__svml_dlog10_data_internal(%rip), %xmm8 + movlhps %xmm2, %xmm2 + movaps %xmm0, %xmm7 + rcpps %xmm2, %xmm3 + cmpnlepd MaxNorm+__svml_dlog10_data_internal(%rip), %xmm7 + cvtps2pd %xmm3, %xmm12 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + movups .FLT_12(%rip), %xmm4 + orps %xmm7, %xmm8 + addpd %xmm4, %xmm12 + +/* combine and get argument value range mask */ + movmskpd %xmm8, %edx + +/* argument reduction */ + movups HalfMask+__svml_dlog10_data_internal(%rip), %xmm9 + subpd %xmm4, %xmm12 + andps %xmm1, %xmm9 + +/* + * prepare table index + * table lookup + */ + movaps %xmm12, %xmm10 + subpd %xmm9, %xmm1 + mulpd %xmm12, %xmm9 + mulpd %xmm12, %xmm1 + subpd One+__svml_dlog10_data_internal(%rip), %xmm9 + addpd %xmm9, %xmm1 + +/* polynomial */ + movups poly_coeff+__svml_dlog10_data_internal(%rip), %xmm14 + psrlq $40, %xmm10 + mulpd %xmm1, %xmm14 + movd %xmm10, %eax + pshufd $2, %xmm10, %xmm11 + movaps %xmm1, %xmm10 + movups poly_coeff+32+__svml_dlog10_data_internal(%rip), %xmm15 + mulpd %xmm1, %xmm10 + addpd poly_coeff+16+__svml_dlog10_data_internal(%rip), %xmm14 + mulpd %xmm1, %xmm15 + mulpd %xmm10, %xmm14 + addpd poly_coeff+48+__svml_dlog10_data_internal(%rip), %xmm15 + movd %xmm11, %ecx + +/* exponent*log(2.0) */ + movups Threshold+__svml_dlog10_data_internal(%rip), %xmm13 + addpd %xmm14, %xmm15 + cmpltpd %xmm12, %xmm13 + mulpd %xmm15, %xmm10 + pshufd $221, %xmm5, %xmm6 + movups poly_coeff+64+__svml_dlog10_data_internal(%rip), %xmm11 + +/* biased exponent in DP format */ + cvtdq2pd %xmm6, %xmm3 + mulpd %xmm1, %xmm11 + andps Bias+__svml_dlog10_data_internal(%rip), %xmm13 + orps Bias1+__svml_dlog10_data_internal(%rip), %xmm13 + subpd %xmm13, %xmm3 + addpd %xmm10, %xmm11 + mulpd L2+__svml_dlog10_data_internal(%rip), %xmm3 + movslq %eax, %rax + movslq %ecx, %rcx + movsd (%rsi,%rax), %xmm2 + movhpd (%rsi,%rcx), %xmm2 + +/* reconstruction */ + addpd %xmm11, %xmm2 + addpd %xmm2, %xmm3 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx xmm0 xmm3 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movaps %xmm3, %xmm0 + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm0, 32(%rsp) + movups %xmm3, 48(%rsp) + # LOE rbx r12 r13 r14 r15 edx + + xorl %eax, %eax + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -48; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -56; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -64; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $2, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm3 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -48; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -56; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -64; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 xmm3 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 32(%rsp,%r14,8), %xmm0 + call log10@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 48(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVbN2v_log10_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_dlog10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(16)) VUINT32 Log_HA_table[(1<<9)+2][2]; + __declspec(align(16)) VUINT32 Log_LA_table[(1<<9)+1][2]; + __declspec(align(16)) VUINT32 poly_coeff[5][2][2]; + __declspec(align(16)) VUINT32 ExpMask[2][2]; + __declspec(align(16)) VUINT32 Two10[2][2]; + __declspec(align(16)) VUINT32 MinNorm[2][2]; + __declspec(align(16)) VUINT32 MaxNorm[2][2]; + __declspec(align(16)) VUINT32 HalfMask[2][2]; + __declspec(align(16)) VUINT32 One[2][2]; + __declspec(align(16)) VUINT32 Threshold[2][2]; + __declspec(align(16)) VUINT32 Bias[2][2]; + __declspec(align(16)) VUINT32 Bias1[2][2]; + __declspec(align(16)) VUINT32 L2[2][2]; +} __svml_dlog10_data_internal; +#endif +__svml_dlog10_data_internal: + /* Log_HA_table */ + .quad 0xc0733a7146f6b080, 0xbe1e707ce619c200 + .quad 0xc0733a7547771970, 0xbe1e79c6c06d6f51 + .quad 0xc0733a7945aacb70, 0xbe1e78e225fad29c + .quad 0xc0733a7d41946970, 0xbe1e76d607f9693b + .quad 0xc0733a813b3691f0, 0xbe1e7704b3e0685b + .quad 0xc0733a853293df00, 0xbe1e79c1216a27fa + .quad 0xc0733a8927aee660, 0xbe1e76dce5734a81 + .quad 0xc0733a8d1a8a3920, 0xbe1e782ee2ca4dba + .quad 0xc0733a910b286430, 0xbe1e7812d1a0a61f + .quad 0xc0733a94f98bf010, 0xbe1e77e1b5ecbc61 + .quad 0xc0733a98e5b76100, 0xbe1e76635cac1586 + .quad 0xc0733a9ccfad36f0, 0xbe1e7638f7968f32 + .quad 0xc0733aa0b76feda0, 0xbe1e7840ee76e365 + .quad 0xc0733aa49d01fcb0, 0xbe1e79f3fd01907e + .quad 0xc0733aa88065d7a0, 0xbe1e77bbb3a9c38a + .quad 0xc0733aac619dedb0, 0xbe1e7742719bf41d + .quad 0xc0733ab040acaa20, 0xbe1e79bcedaf79cb + .quad 0xc0733ab41d947450, 0xbe1e762d63cb7ca0 + .quad 0xc0733ab7f857af50, 0xbe1e77a07be83403 + .quad 0xc0733abbd0f8ba80, 0xbe1e7763ff836ad0 + .quad 0xc0733abfa779f130, 0xbe1e7737720ead39 + .quad 0xc0733ac37bddaad0, 0xbe1e7776a08e55e7 + .quad 0xc0733ac74e263af0, 0xbe1e793e3c52dd36 + .quad 0xc0733acb1e55f160, 0xbe1e788a94695051 + .quad 0xc0733aceec6f1a10, 0xbe1e76508114a813 + .quad 0xc0733ad2b873fd20, 0xbe1e76909457d23e + .quad 0xc0733ad68266df10, 0xbe1e7664a24f9ca4 + .quad 0xc0733ada4a4a0090, 0xbe1e7a07b3d44b18 + .quad 0xc0733ade101f9ee0, 0xbe1e76d87594704d + .quad 0xc0733ae1d3e9f340, 0xbe1e79563595a182 + .quad 0xc0733ae595ab33b0, 0xbe1e771880c3c6ab + .quad 0xc0733ae955659250, 0xbe1e78c171f517d4 + .quad 0xc0733aed131b3df0, 0xbe1e77eac3874666 + .quad 0xc0733af0cece61b0, 0xbe1e790db479d8f6 + .quad 0xc0733af488812550, 0xbe1e7965d1aa5c90 + .quad 0xc0733af84035ad10, 0xbe1e78ceb398ba47 + .quad 0xc0733afbf5ee19c0, 0xbe1e779cc0dcb5aa + .quad 0xc0733affa9ac88c0, 0xbe1e7871053953ed + .quad 0xc0733b035b731420, 0xbe1e7a082cffa71a + .quad 0xc0733b070b43d2a0, 0xbe1e7904b4382fad + .quad 0xc0733b0ab920d790, 0xbe1e79b458d0b4f3 + .quad 0xc0733b0e650c3310, 0xbe1e79d0ded414c6 + .quad 0xc0733b120f07f200, 0xbe1e763c357a1943 + .quad 0xc0733b15b7161dd0, 0xbe1e78b80ba6daaa + .quad 0xc0733b195d38bd00, 0xbe1e7998e23b8ffd + .quad 0xc0733b1d0171d2c0, 0xbe1e7974aa65ee8c + .quad 0xc0733b20a3c35f20, 0xbe1e76ccfde752ab + .quad 0xc0733b24442f5ef0, 0xbe1e77b4ff19debb + .quad 0xc0733b27e2b7cc10, 0xbe1e7772ee478542 + .quad 0xc0733b2b7f5e9d30, 0xbe1e781d81b58b44 + .quad 0xc0733b2f1a25c600, 0xbe1e78350d967565 + .quad 0xc0733b32b30f3720, 0xbe1e783888e48152 + .quad 0xc0733b364a1cde30, 0xbe1e78367bf7c111 + .quad 0xc0733b39df50a5d0, 0xbe1e7959e57ca47d + .quad 0xc0733b3d72ac75c0, 0xbe1e777322423222 + .quad 0xc0733b41043232b0, 0xbe1e767ce42a60aa + .quad 0xc0733b4493e3be70, 0xbe1e781d445aea19 + .quad 0xc0733b4821c2f800, 0xbe1e7922fca18e18 + .quad 0xc0733b4badd1bb80, 0xbe1e76fed3d40647 + .quad 0xc0733b4f3811e210, 0xbe1e793948c9eabc + .quad 0xc0733b52c0854240, 0xbe1e76e487656b8c + .quad 0xc0733b56472daf90, 0xbe1e780ab2f71223 + .quad 0xc0733b59cc0cfaf0, 0xbe1e77189120b09c + .quad 0xc0733b5d4f24f270, 0xbe1e7644a0343a12 + .quad 0xc0733b60d0776160, 0xbe1e78f2a3e4733d + .quad 0xc0733b6450061080, 0xbe1e7913b2f73ae5 + .quad 0xc0733b67cdd2c5c0, 0xbe1e7882d08393b5 + .quad 0xc0733b6b49df4470, 0xbe1e765e1b209979 + .quad 0xc0733b6ec42d4d20, 0xbe1e785c9c4620d4 + .quad 0xc0733b75b394f240, 0xbe1e78878cd0e956 + .quad 0xc0733b7c9c178630, 0xbe1e789a4112d90b + .quad 0xc0733b837dc2b0f0, 0xbe1e79050b8a1766 + .quad 0xc0733b8a58a3f220, 0xbe1e7790dffc47aa + .quad 0xc0733b912cc8a180, 0xbe1e77174593b06a + .quad 0xc0733b97fa3defb0, 0xbe1e7677de2d2ecc + .quad 0xc0733b9ec110e6b0, 0xbe1e76cff477ca18 + .quad 0xc0733ba5814e6a80, 0xbe1e78f8644dec7b + .quad 0xc0733bac3b0339d0, 0xbe1e764e1361788d + .quad 0xc0733bb2ee3bee30, 0xbe1e78c913e738de + .quad 0xc0733bb99b04fd30, 0xbe1e76666f5bddaa + .quad 0xc0733bc0416ab850, 0xbe1e77e87cbd8ab6 + .quad 0xc0733bc6e1794e10, 0xbe1e76f18ba1c966 + .quad 0xc0733bcd7b3cca10, 0xbe1e777c9461b8db + .quad 0xc0733bd40ec115d0, 0xbe1e78b78526ffac + .quad 0xc0733bda9c11f920, 0xbe1e7942abecfede + .quad 0xc0733be1233b1aa0, 0xbe1e76d8a684fd8c + .quad 0xc0733be7a4480010, 0xbe1e79622b539ac9 + .quad 0xc0733bee1f440f30, 0xbe1e7978e7cc20ea + .quad 0xc0733bf4943a8de0, 0xbe1e765c9c9de825 + .quad 0xc0733bfb0336a290, 0xbe1e775d8b138ee2 + .quad 0xc0733c016c435500, 0xbe1e78bf33465c2f + .quad 0xc0733c07cf6b8e80, 0xbe1e78164f7cc441 + .quad 0xc0733c0e2cba1a50, 0xbe1e7824e64d0b23 + .quad 0xc0733c148439a630, 0xbe1e78373ae7dd81 + .quad 0xc0733c1ad5f4c2c0, 0xbe1e7704513e0afe + .quad 0xc0733c2121f5e3d0, 0xbe1e7914aa84200f + .quad 0xc0733c2768476110, 0xbe1e76b1cde25cf6 + .quad 0xc0733c2da8f37600, 0xbe1e796120e3862d + .quad 0xc0733c33e40442e0, 0xbe1e78ec836d7e7b + .quad 0xc0733c3a1983cca0, 0xbe1e77fb13b7dabb + .quad 0xc0733c40497bfd70, 0xbe1e783c6fcb2404 + .quad 0xc0733c4673f6a530, 0xbe1e7628bb93dce8 + .quad 0xc0733c4c98fd7990, 0xbe1e7857a47b5001 + .quad 0xc0733c52b89a16d0, 0xbe1e76708dc2831f + .quad 0xc0733c58d2d5ffa0, 0xbe1e77b6038651f1 + .quad 0xc0733c5ee7ba9de0, 0xbe1e792e855bb5b2 + .quad 0xc0733c64f75142d0, 0xbe1e776cacd5c105 + .quad 0xc0733c6b01a32740, 0xbe1e77f8a8011315 + .quad 0xc0733c7106b96c30, 0xbe1e765cf3efcfde + .quad 0xc0733c77069d1ad0, 0xbe1e78d837d2efac + .quad 0xc0733c7d01572530, 0xbe1e78b615cf772c + .quad 0xc0733c82f6f06640, 0xbe1e7650bbbd7a25 + .quad 0xc0733c88e771a220, 0xbe1e78bcf3495872 + .quad 0xc0733c8ed2e386c0, 0xbe1e792266832e84 + .quad 0xc0733c94b94eabd0, 0xbe1e79c1c3c2ca52 + .quad 0xc0733c9a9abb9340, 0xbe1e78aa61e5807d + .quad 0xc0733ca07732a970, 0xbe1e7620fc4cf156 + .quad 0xc0733ca64ebc4570, 0xbe1e76b914a832c5 + .quad 0xc0733cac2160a970, 0xbe1e79227f72020e + .quad 0xc0733cb1ef280300, 0xbe1e77ac972cc008 + .quad 0xc0733cb7b81a6b10, 0xbe1e798089be41f4 + .quad 0xc0733cbd7c3fe6a0, 0xbe1e77942ae037fe + .quad 0xc0733cc33ba06690, 0xbe1e7956ae6463d9 + .quad 0xc0733cc8f643c850, 0xbe1e7918a50c7942 + .quad 0xc0733cceac31d5d0, 0xbe1e78308eeab604 + .quad 0xc0733cd45d7245e0, 0xbe1e76dd4ea88445 + .quad 0xc0733cda0a0cbc60, 0xbe1e77e7c1aa5909 + .quad 0xc0733cdfb208caa0, 0xbe1e7804b9d20e54 + .quad 0xc0733ce5556def70, 0xbe1e78f88e99d49c + .quad 0xc0733ceaf4439780, 0xbe1e787d74682d68 + .quad 0xc0733cf08e911d80, 0xbe1e76edc24fe6e7 + .quad 0xc0733cf6245dca50, 0xbe1e79b347ec86d2 + .quad 0xc0733cfbb5b0d580, 0xbe1e797cceb2c39b + .quad 0xc0733d0142916530, 0xbe1e783adbdc6aa1 + .quad 0xc0733d06cb068e70, 0xbe1e76e4c20e3d9e + .quad 0xc0733d0c4f175570, 0xbe1e77070bf3cf61 + .quad 0xc0733d11cecaadc0, 0xbe1e781c43502734 + .quad 0xc0733d174a277a80, 0xbe1e78b11268ea72 + .quad 0xc0733d1cc1348e90, 0xbe1e7754b83bfc7d + .quad 0xc0733d2233f8acb0, 0xbe1e7756c29bf5e9 + .quad 0xc0733d27a27a87d0, 0xbe1e7952fc1d9333 + .quad 0xc0733d2d0cc0c350, 0xbe1e778c76ae6077 + .quad 0xc0733d3272d1f2e0, 0xbe1e7a1896ba8f43 + .quad 0xc0733d37d4b49b30, 0xbe1e76dafdf432d8 + .quad 0xc0733d3d326f3180, 0xbe1e795330184013 + .quad 0xc0733d428c081c80, 0xbe1e763cc774d30f + .quad 0xc0733d47e185b3d0, 0xbe1e77030a779c0a + .quad 0xc0733d4d32ee40b0, 0xbe1e7908af2a2d7e + .quad 0xc0733d528047fe00, 0xbe1e78c4953b797d + .quad 0xc0733d57c9991850, 0xbe1e78b43b096579 + .quad 0xc0733d5d0ee7ae30, 0xbe1e7824ae0a4804 + .quad 0xc0733d625039d040, 0xbe1e79d2b2fbb740 + .quad 0xc0733d678d958190, 0xbe1e7662de59a1a6 + .quad 0xc0733d6cc700b760, 0xbe1e76b251d59aaa + .quad 0xc0733d71fc8159b0, 0xbe1e7a00cfd1f487 + .quad 0xc0733d772e1d4360, 0xbe1e77f4d246167e + .quad 0xc0733d7c5bda4200, 0xbe1e767a4ee8e6fc + .quad 0xc0733d8185be1640, 0xbe1e777ccf0a8aed + .quad 0xc0733d86abce7420, 0xbe1e767d7e279ada + .quad 0xc0733d8bce1102d0, 0xbe1e7a05cef4bb90 + .quad 0xc0733d90ec8b5d40, 0xbe1e78f75369be5b + .quad 0xc0733d96074311d0, 0xbe1e77b9612e8c8a + .quad 0xc0733d9b1e3da2b0, 0xbe1e794518b9adeb + .quad 0xc0733da031808620, 0xbe1e7810626fb934 + .quad 0xc0733da541112650, 0xbe1e76d87223fa6d + .quad 0xc0733daa4cf4e1a0, 0xbe1e794c5e7ca3b5 + .quad 0xc0733daf55310af0, 0xbe1e789856ef816f + .quad 0xc0733db459cae970, 0xbe1e77d2004effbd + .quad 0xc0733db95ac7b8f0, 0xbe1e78467d31eb9c + .quad 0xc0733dbe582caa00, 0xbe1e79aaa4e25787 + .quad 0xc0733dc351fee220, 0xbe1e762de8f107bf + .quad 0xc0733dc848437b90, 0xbe1e7670670a63fe + .quad 0xc0733dcd3aff85d0, 0xbe1e795ca237c6cc + .quad 0xc0733dd22a3805b0, 0xbe1e77e55c53c1d9 + .quad 0xc0733dd715f1f520, 0xbe1e78a806213ac4 + .quad 0xc0733ddbfe3243b0, 0xbe1e77743a2bc615 + .quad 0xc0733de0e2fdd660, 0xbe1e78b8b45b0b7d + .quad 0xc0733de5c4598800, 0xbe1e78d635f2f4b9 + .quad 0xc0733deaa24a2920, 0xbe1e7758c396a11e + .quad 0xc0733def7cd48020, 0xbe1e7a17a8cc454c + .quad 0xc0733df453fd49a0, 0xbe1e783caa73f616 + .quad 0xc0733df927c93820, 0xbe1e7932cfa29664 + .quad 0xc0733dfdf83cf490, 0xbe1e777d265c72a6 + .quad 0xc0733e02c55d1e10, 0xbe1e7775e7c03c60 + .quad 0xc0733e078f2e4a40, 0xbe1e79f65d52d232 + .quad 0xc0733e0c55b50570, 0xbe1e76e7e7464b4e + .quad 0xc0733e1118f5d250, 0xbe1e77be81cad877 + .quad 0xc0733e15d8f52a80, 0xbe1e79dd25b5fb3a + .quad 0xc0733e1a95b77e80, 0xbe1e78e45f1418ef + .quad 0xc0733e1f4f4135a0, 0xbe1e78eb7289505b + .quad 0xc0733e240596ae50, 0xbe1e78a468c07cad + .quad 0xc0733e28b8bc3e20, 0xbe1e776b558a4009 + .quad 0xc0733e2d68b631d0, 0xbe1e77412eb9941e + .quad 0xc0733e321588cd80, 0xbe1e76b2853f845e + .quad 0xc0733e36bf384cb0, 0xbe1e76aa7184273c + .quad 0xc0733e3b65c8e260, 0xbe1e7832027f78fa + .quad 0xc0733e40093eb930, 0xbe1e7a1c7da131f5 + .quad 0xc0733e44a99df380, 0xbe1e76a0bc2ae4bc + .quad 0xc0733e4946eaab30, 0xbe1e78dff13b6f5d + .quad 0xc0733e4de128f250, 0xbe1e765a226dea2c + .quad 0xc0733e52785cd290, 0xbe1e78509b989111 + .quad 0xc0733e570c8a4de0, 0xbe1e7916a4e9803d + .quad 0xc0733e5b9db55e30, 0xbe1e7950c15758cc + .quad 0xc0733e602be1f5a0, 0xbe1e7922ba1ad420 + .quad 0xc0733e64b713fe90, 0xbe1e794cbaabcef6 + .quad 0xc0733e693f4f5bc0, 0xbe1e7837bf883fed + .quad 0xc0733e6dc497e850, 0xbe1e76f198ddbbdf + .quad 0xc0733e7246f177d0, 0xbe1e7a18c1067764 + .quad 0xc0733e76c65fd6a0, 0xbe1e76b845a8fd9d + .quad 0xc0733e7b42e6c970, 0xbe1e7714012df506 + .quad 0xc0733e7fbc8a0de0, 0xbe1e7765612922cd + .quad 0xc0733e84334d5a50, 0xbe1e7688f5424a00 + .quad 0xc0733e88a7345df0, 0xbe1e769d011f6663 + .quad 0xc0733e8d1842c0e0, 0xbe1e79914acbfaf7 + .quad 0xc0733e91867c2460, 0xbe1e79a85e189bd7 + .quad 0xc0733e95f1e422a0, 0xbe1e79ea7c726432 + .quad 0xc0733e9a5a7e4f10, 0xbe1e768a6fbb8e6e + .quad 0xc0733e9ec04e3620, 0xbe1e793c75bcc9fc + .quad 0xc0733ea323575dd0, 0xbe1e797f78da13d4 + .quad 0xc0733ea7839d4550, 0xbe1e78d8c9cda978 + .quad 0xc0733eabe1236540, 0xbe1e77028d480fff + .quad 0xc0733eb03bed2fa0, 0xbe1e7a0d0f74ff7c + .quad 0xc0733eb493fe1040, 0xbe1e76732e8a35fb + .quad 0xc0733eb8e9596c30, 0xbe1e77220caeabeb + .quad 0xc0733ebd3c02a260, 0xbe1e797438b645ef + .quad 0xc0733ec18bfd0b80, 0xbe1e79207c5fd6e8 + .quad 0xc0733ec5d94bf9f0, 0xbe1e781c7df8f946 + .quad 0xc0733eca23f2b9f0, 0xbe1e76736284e2db + .quad 0xc0733ece6bf49190, 0xbe1e7a109cc0c3f5 + .quad 0xc0733ed2b154c120, 0xbe1e767f14a16d50 + .quad 0xc0733ed6f4168290, 0xbe1e789cd22acaf0 + .quad 0xc0733edb343d0a40, 0xbe1e764355ca28ad + .quad 0xc0733edf71cb8660, 0xbe1e79e4c7a81c45 + .quad 0xc0733ee3acc51fb0, 0xbe1e761e26b644c2 + .quad 0xc0733ee7e52cf8c0, 0xbe1e793e9f8fbdd3 + .quad 0xc0733eec1b062ed0, 0xbe1e78c432991c20 + .quad 0xc0733ef04e53d940, 0xbe1e78cdd025f4d8 + .quad 0xc0733ef47f1909f0, 0xbe1e778310c6446e + .quad 0xc0733ef8ad58cd20, 0xbe1e7871af3d6e17 + .quad 0xc0733efcd91629b0, 0xbe1e77e0e906f697 + .quad 0xc0733f01025420f0, 0xbe1e7a1ae9b27892 + .quad 0xc0733f052915af00, 0xbe1e76ac64c88f9d + .quad 0xc0733f094d5dca60, 0xbe1e779a815589c4 + .quad 0xc0733f0d6f2f6480, 0xbe1e788f39a4864c + .quad 0xc0733f118e8d6980, 0xbe1e79fc51263525 + .quad 0xc0733f15ab7ac060, 0xbe1e783501f19e90 + .quad 0xc0733f19c5fa4ae0, 0xbe1e767e82c327ab + .quad 0xc0733f1dde0ee5a0, 0xbe1e7a1785d66123 + .quad 0xc0733f21f3bb6870, 0xbe1e7936d07203da + .quad 0xc0733f260702a5e0, 0xbe1e7a010a7ac699 + .quad 0xc0733f2a17e76bb0, 0xbe1e7975e4e16312 + .quad 0xc0733f2e266c82b0, 0xbe1e7654b5422330 + .quad 0xc0733f323294aeb0, 0xbe1e77f8a4909d35 + .quad 0xc0733f363c62aee0, 0xbe1e792c8e30d226 + .quad 0xc0733f3a43d93da0, 0xbe1e76f6ac67a1ff + .quad 0xc0733f3e48fb1070, 0xbe1e775c2e97715a + .quad 0xc0733f424bcad840, 0xbe1e781cd54ae100 + /*== Log_LA_table ==*/ + .align 16 + .quad 0x0000000000000000 + .quad 0xbf4bc48a867884b7 + .quad 0xbf5bbd9e9482af09 + .quad 0xbf64c9096b94befd + .quad 0xbf6bafd47221ed26 + .quad 0xbf714999e2ad8ea6 + .quad 0xbf74b99563d2a1bd + .quad 0xbf7827de6b310350 + .quad 0xbf7b9476a4fcd10f + .quad 0xbf7eff5fbaf25781 + .quad 0xbf81344daa2d7553 + .quad 0xbf82e8158b08d957 + .quad 0xbf849b0851443684 + .quad 0xbf864d26cce610dd + .quad 0xbf87fe71ccc4e6b0 + .quad 0xbf89aeea1e897fdf + .quad 0xbf8b5e908eb13790 + .quad 0xbf8d0d65e890405a + .quad 0xbf8ebb6af653e2ee + .quad 0xbf90345040825bad + .quad 0xbf910a83a8446c78 + .quad 0xbf91e05015d30a71 + .quad 0xbf92b5b5ec0209d3 + .quad 0xbf938ab58d173e91 + .quad 0xbf945f4f5acb8be0 + .quad 0xbf953383b64bf13f + .quad 0xbf960753003a94ef + .quad 0xbf96dabd98afcc05 + .quad 0xbf97adc3df3b1ff8 + .quad 0xbf98806632e451d0 + .quad 0xbf9952a4f22c5ae9 + .quad 0xbf9a24807b0e6b5c + .quad 0xbf9af5f92b00e610 + .quad 0xbf9bc70f5ef65a77 + .quad 0xbf9c97c3735e7c0a + .quad 0xbf9d6815c4271775 + .quad 0xbf9e3806acbd058f + .quad 0xbf9f0796880d1c19 + .quad 0xbf9fd6c5b0851c4c + .quad 0xbfa052ca400a4f9b + .quad 0xbfa0ba01a8170000 + .quad 0xbfa121093ce3a205 + .quad 0xbfa187e12aad8077 + .quad 0xbfa1ee899d74a03e + .quad 0xbfa25502c0fc314c + .quad 0xbfa2bb4cc0cafe8d + .quad 0xbfa32167c82bdcda + .quad 0xbfa38754022e18e2 + .quad 0xbfa3ed1199a5e425 + .quad 0xbfa452a0b92cc0ec + .quad 0xbfa4b8018b21ed4f + .quad 0xbfa51d3439aacd4a + .quad 0xbfa58238eeb353da + .quad 0xbfa5e70fd3ee6b34 + .quad 0xbfa64bb912d65c07 + .quad 0xbfa6b034d4ad33df + .quad 0xbfa71483427d2a99 + .quad 0xbfa778a4851906f3 + .quad 0xbfa7dc98c51c8242 + .quad 0xbfa840602aecab3d + .quad 0xbfa8a3fadeb847f4 + .quad 0xbfa90769087836e4 + .quad 0xbfa96aaacfefcf3c + .quad 0xbfa9cdc05cad4042 + .quad 0xbfaa30a9d609efea + .quad 0xbfaa9367632ad897 + .quad 0xbfaaf5f92b00e610 + .quad 0xbfab585f544951a4 + .quad 0xbfabba9a058dfd84 + .quad 0xbfac1ca96525cf56 + .quad 0xbfac7e8d993509f9 + .quad 0xbface046c7ada68d + .quad 0xbfad41d5164facb4 + .quad 0xbfada338aaa98a0c + .quad 0xbfae0471aa1868f5 + .quad 0xbfae658039c88690 + .quad 0xbfaec6647eb58808 + .quad 0xbfaf271e9daacf20 + .quad 0xbfaf87aebb43ce06 + .quad 0xbfafe814fbec5a77 + .quad 0xbfb02428c1f08016 + .quad 0xbfb054323b97a948 + .quad 0xbfb08426fcdb1ee7 + .quad 0xbfb0b40717932b96 + .quad 0xbfb0e3d29d81165e + .quad 0xbfb11389a04f4a2e + .quad 0xbfb1432c31917d08 + .quad 0xbfb172ba62c4d6de + .quad 0xbfb1a23445501816 + .quad 0xbfb1d199ea83bfbe + .quad 0xbfb200eb639a3173 + .quad 0xbfb23028c1b7daed + .quad 0xbfb25f5215eb594a + .quad 0xbfb28e67712d9dfc + .quad 0xbfb2bd68e4621371 + .quad 0xbfb2ec568056c16f + .quad 0xbfb31b3055c47118 + .quad 0xbfb349f6754ed0b4 + .quad 0xbfb378a8ef84971e + .quad 0xbfb3a747d4dfa6f5 + .quad 0xbfb3d5d335c53179 + .quad 0xbfb4044b2285d925 + .quad 0xbfb432afab5dd3ff + .quad 0xbfb46100e0750da1 + .quad 0xbfb48f3ed1df48fb + .quad 0xbfb4bd698f9c41cf + .quad 0xbfb4eb812997cde4 + .quad 0xbfb51985afa9fdfd + .quad 0xbfb5477731973e85 + .quad 0xbfb57555bf1077f5 + .quad 0xbfb5a32167b32f02 + .quad 0xbfb5d0da3b09a47e + .quad 0xbfb5fe80488af4fd + .quad 0xbfb62c139f9b3837 + .quad 0xbfb659944f8ba02d + .quad 0xbfb68702679a980a + .quad 0xbfb6b45df6f3e2c9 + .quad 0xbfb6e1a70cb0b99a + .quad 0xbfb70eddb7d7ea07 + .quad 0xbfb73c02075df3e5 + .quad 0xbfb769140a2526fd + .quad 0xbfb79613cefdc07d + .quad 0xbfb7c30164a60836 + .quad 0xbfb7efdcd9ca6d8f + .quad 0xbfb81ca63d05a44a + .quad 0xbfb8495d9ce0c10c + .quad 0xbfb8760307d355ab + .quad 0xbfb8a2968c438d41 + .quad 0xbfb8cf183886480d + .quad 0xbfb8fb881adf3713 + .quad 0xbfb927e64180f790 + .quad 0xbfb95432ba8d2e2f + .quad 0xbfb9806d9414a209 + .quad 0xbfb9ac96dc175776 + .quad 0xbfb9d8aea084aa9c + .quad 0xbfba04b4ef3b69d8 + .quad 0xbfba30a9d609efea + .quad 0xbfba5c8d62ae3dec + .quad 0xbfba885fa2d6151e + .quad 0xbfbab420a41f1076 + .quad 0xbfbadfd07416be07 + .quad 0xbfbb0b6f203ab82c + .quad 0xbfbb36fcb5f8be8a + .quad 0xbfbb627942aecedd + .quad 0xbfbb8de4d3ab3d98 + .quad 0xbfbbb93f762cce4f + .quad 0xbfbbe4893762cbf7 + .quad 0xbfbc0fc2246d20f5 + .quad 0xbfbc3aea4a5c6eff + .quad 0xbfbc6601b63226cb + .quad 0xbfbc910874e09f98 + .quad 0xbfbcbbfe934b2e81 + .quad 0xbfbce6e41e463da5 + .quad 0xbfbd11b92297632b + .quad 0xbfbd3c7dacf5780b + .quad 0xbfbd6731ca08aeb9 + .quad 0xbfbd91d5866aa99c + .quad 0xbfbdbc68eea6915b + .quad 0xbfbde6ec0f392b05 + .quad 0xbfbe115ef490ee07 + .quad 0xbfbe3bc1ab0e19fe + .quad 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0x3f988d362cdf359e + .quad 0x3f9817c846828bbd + .quad 0x3f97a27959ec91aa + .quad 0x3f972d4956ca2067 + .quad 0x3f96b8382cd4f551 + .quad 0x3f964345cbd3a491 + .quad 0x3f95ce7223998b98 + .quad 0x3f9559bd2406c3ba + .quad 0x3f94e526bd0814d1 + .quad 0x3f9470aede96e7f2 + .quad 0x3f93fc5578b93a38 + .quad 0x3f93881a7b818f9e + .quad 0x3f9313fdd70ee5e8 + .quad 0x3f929fff7b8ca79d + .quad 0x3f922c1f59329f1b + .quad 0x3f91b85d6044e9ae + .quad 0x3f9144b98113eac0 + .quad 0x3f90d133abfc3f1b + .quad 0x3f905dcbd166b033 + .quad 0x3f8fd503c3904f1d + .quad 0x3f8eeeab9b43445d + .quad 0x3f8e088f0b004827 + .quad 0x3f8d22adf3f9579d + .quad 0x3f8c3d0837784c41 + .quad 0x3f8b579db6dec358 + .quad 0x3f8a726e53a6056e + .quad 0x3f898d79ef5eedf0 + .quad 0x3f88a8c06bb1d2f4 + .quad 0x3f87c441aa5e6d15 + .quad 0x3f86dffd8d3bbf70 + .quad 0x3f85fbf3f637ffc5 + .quad 0x3f851824c7587eb0 + .quad 0x3f84348fe2b99002 + .quad 0x3f8351352a8e733f + .quad 0x3f826e1481213c2e + .quad 0x3f818b2dc8d2bb91 + .quad 0x3f80a880e41a67f6 + .quad 0x3f7f8c1b6b0c8d4e + .quad 0x3f7dc7a83f75a96d + .quad 0x3f7c03a80ae5e054 + .quad 0x3f7a401a92ff827e + .quad 0x3f787cff9d9147a5 + .quad 0x3f76ba56f09621bc + .quad 0x3f74f8205235102d + .quad 0x3f73365b88c0f347 + .quad 0x3f7175085ab85ff0 + .quad 0x3f6f684d1d8ae702 + .quad 0x3f6be76bd77b4fc3 + .quad 0x3f68676c71434fb9 + .quad 0x3f64e84e793a474a + .quad 0x3f616a117e0d4b30 + .quad 0x3f5bd96a1d7d9cbc + .quad 0x3f54e071754c98ba + .quad 0x3f4bd27045bfd025 + .quad 0x3f3bcef518e29612 + .quad 0x8000000000000000 + /*== poly_coeff[5] ==*/ + .align 16 + .quad 0x3fb63C65231FBD16, 0x3fb63C65231FBD16 /* coeff5 */ + .quad 0xbfbBCB7D4EFBE80B, 0xbfbBCB7D4EFBE80B /* coeff4 */ + .quad 0x3fc287A7636F341E, 0x3fc287A7636F341E /* coeff3 */ + .quad 0xbfcBCB7B1526DE36, 0xbfcBCB7B1526DE36 /* coeff2 */ + .quad 0x3fdBCB7B1526E50E, 0x3fdBCB7B1526E50E /* coeff1 */ + /*== ExpMask ==*/ + .align 16 + .quad 0x000fffffffffffff, 0x000fffffffffffff + /*== Two10 ==*/ + .align 16 + .quad 0x3f50000000000000, 0x3f50000000000000 + /*== MinNorm ==*/ + .align 16 + .quad 0x0010000000000000, 0x0010000000000000 + /*== MaxNorm ==*/ + .align 16 + .quad 0x7fefffffffffffff, 0x7fefffffffffffff + /*== HalfMask ==*/ + .align 16 + .quad 0xfffffffffc000000, 0xfffffffffc000000 + /*== One ==*/ + .align 16 + .quad 0x3ff0000000000000, 0x3ff0000000000000 + /*== Threshold ==*/ + .align 16 + .quad 0x4086a00000000000, 0x4086a00000000000 + /*== Bias ==*/ + .align 16 + .quad 0x408ff80000000000, 0x408ff80000000000 + /*== Bias1 ==*/ + .align 16 + .quad 0x408ff00000000000, 0x408ff00000000000 + /*== L2 ==*/ + .align 16 + .quad 0x3fd34413509f79ff, 0x3fd34413509f79ff + .align 16 + .type __svml_dlog10_data_internal,@object + .size __svml_dlog10_data_internal,.-__svml_dlog10_data_internal + .space 48, 0x00 + .align 16 + +.FLT_12: + .long 0x00000000,0x43380000,0x00000000,0x43380000 + .type .FLT_12,@object + .size .FLT_12,16 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core-sse.S new file mode 100644 index 0000000000..0a101666f5 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized log10, 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_log10 _ZGVdN4v_log10_sse_wrapper +#include "../svml_d_log104_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core.c new file mode 100644 index 0000000000..48c63cfb3d --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized log10, 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_log10 +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN4v_log10, __GI__ZGVdN4v_log10, __redirect__ZGVdN4v_log10) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core_avx2.S new file mode 100644 index 0000000000..df23926562 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log104_core_avx2.S @@ -0,0 +1,1074 @@ +/* Function log10 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_dlog10_data_internal + */ +#define Log_HA_table 0 +#define Log_LA_table 4128 +#define poly_coeff 8256 +#define ExpMask 8416 +#define Two10 8448 +#define MinNorm 8480 +#define MaxNorm 8512 +#define HalfMask 8544 +#define One 8576 +#define Threshold 8608 +#define Bias 8640 +#define Bias1 8672 +#define L2 8704 + +/* Lookup bias for data table __svml_dlog10_data_internal. */ +#define Table_Lookup_Bias -0x406fe0 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN4v_log10_avx2) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + subq $96, %rsp + lea Table_Lookup_Bias+__svml_dlog10_data_internal(%rip), %r8 + vmovapd %ymm0, %ymm3 + +/* preserve mantissa, set input exponent to 2^(-10) */ + vandpd ExpMask+__svml_dlog10_data_internal(%rip), %ymm3, %ymm4 + vorpd Two10+__svml_dlog10_data_internal(%rip), %ymm4, %ymm2 + +/* reciprocal approximation good to at least 11 bits */ + vcvtpd2ps %ymm2, %xmm5 + +/* exponent bits */ + vpsrlq $20, %ymm3, %ymm7 + vmovupd One+__svml_dlog10_data_internal(%rip), %ymm14 + vrcpps %xmm5, %xmm6 + +/* check range */ + vcmplt_oqpd MinNorm+__svml_dlog10_data_internal(%rip), %ymm3, %ymm11 + vcmpnle_uqpd MaxNorm+__svml_dlog10_data_internal(%rip), %ymm3, %ymm12 + vcvtps2pd %xmm6, %ymm9 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + vroundpd $0, %ymm9, %ymm1 + +/* exponent*log(2.0) */ + vmovupd Threshold+__svml_dlog10_data_internal(%rip), %ymm9 + +/* + * prepare table index + * table lookup + */ + vpsrlq $40, %ymm1, %ymm15 + +/* argument reduction */ + vfmsub213pd %ymm14, %ymm1, %ymm2 + vcmplt_oqpd %ymm1, %ymm9, %ymm1 + vorpd %ymm12, %ymm11, %ymm13 + vmovupd poly_coeff+64+__svml_dlog10_data_internal(%rip), %ymm12 + vfmadd213pd poly_coeff+96+__svml_dlog10_data_internal(%rip), %ymm2, %ymm12 + +/* combine and get argument value range mask */ + vmovmskpd %ymm13, %eax + vmulpd %ymm2, %ymm2, %ymm13 + vextractf128 $1, %ymm7, %xmm8 + vshufps $221, %xmm8, %xmm7, %xmm10 + +/* biased exponent in DP format */ + vcvtdq2pd %xmm10, %ymm0 + vandpd Bias+__svml_dlog10_data_internal(%rip), %ymm1, %ymm10 + vorpd Bias1+__svml_dlog10_data_internal(%rip), %ymm10, %ymm11 + vsubpd %ymm11, %ymm0, %ymm0 + vmulpd L2+__svml_dlog10_data_internal(%rip), %ymm0, %ymm1 + +/* polynomial */ + vmovupd poly_coeff+__svml_dlog10_data_internal(%rip), %ymm0 + vfmadd213pd poly_coeff+32+__svml_dlog10_data_internal(%rip), %ymm2, %ymm0 + vmulpd poly_coeff+128+__svml_dlog10_data_internal(%rip), %ymm2, %ymm2 + vfmadd213pd %ymm12, %ymm13, %ymm0 + vfmadd213pd %ymm2, %ymm13, %ymm0 + vextractf128 $1, %ymm15, %xmm6 + vmovd %xmm15, %edx + vmovd %xmm6, %esi + movslq %edx, %rdx + vpextrd $2, %xmm15, %ecx + movslq %esi, %rsi + vpextrd $2, %xmm6, %edi + movslq %ecx, %rcx + movslq %edi, %rdi + vmovsd (%r8,%rdx), %xmm4 + vmovsd (%r8,%rsi), %xmm7 + vmovhpd (%r8,%rcx), %xmm4, %xmm5 + vmovhpd (%r8,%rdi), %xmm7, %xmm8 + vinsertf128 $1, %xmm8, %ymm5, %ymm14 + +/* reconstruction */ + vaddpd %ymm0, %ymm14, %ymm2 + vaddpd %ymm2, %ymm1, %ymm0 + testl %eax, %eax + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 eax ymm0 ymm3 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovupd %ymm3, 32(%rsp) + vmovupd %ymm0, 64(%rsp) + # LOE rbx r12 r13 r14 r15 eax ymm0 + + xorl %edx, %edx + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $4, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovupd 64(%rsp), %ymm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 ymm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 32(%rsp,%r14,8), %xmm0 + call log10@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 64(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVdN4v_log10_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_dlog10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(32)) VUINT32 Log_HA_table[(1<<9)+2][2]; + __declspec(align(32)) VUINT32 Log_LA_table[(1<<9)+1][2]; + __declspec(align(32)) VUINT32 poly_coeff[5][4][2]; + __declspec(align(32)) VUINT32 ExpMask[4][2]; + __declspec(align(32)) VUINT32 Two10[4][2]; + __declspec(align(32)) VUINT32 MinNorm[4][2]; + __declspec(align(32)) VUINT32 MaxNorm[4][2]; + __declspec(align(32)) VUINT32 HalfMask[4][2]; + __declspec(align(32)) VUINT32 One[4][2]; + __declspec(align(32)) VUINT32 Threshold[4][2]; + __declspec(align(32)) VUINT32 Bias[4][2]; + __declspec(align(32)) VUINT32 Bias1[4][2]; + __declspec(align(32)) VUINT32 L2[4][2]; +} __svml_dlog10_data_internal; +#endif +__svml_dlog10_data_internal: + /* Log_HA_table */ + .quad 0xc0733a7146f6b080, 0xbe1e707ce619c200 + .quad 0xc0733a7547771970, 0xbe1e79c6c06d6f51 + .quad 0xc0733a7945aacb70, 0xbe1e78e225fad29c + .quad 0xc0733a7d41946970, 0xbe1e76d607f9693b + .quad 0xc0733a813b3691f0, 0xbe1e7704b3e0685b + .quad 0xc0733a853293df00, 0xbe1e79c1216a27fa + .quad 0xc0733a8927aee660, 0xbe1e76dce5734a81 + .quad 0xc0733a8d1a8a3920, 0xbe1e782ee2ca4dba + .quad 0xc0733a910b286430, 0xbe1e7812d1a0a61f + .quad 0xc0733a94f98bf010, 0xbe1e77e1b5ecbc61 + .quad 0xc0733a98e5b76100, 0xbe1e76635cac1586 + .quad 0xc0733a9ccfad36f0, 0xbe1e7638f7968f32 + .quad 0xc0733aa0b76feda0, 0xbe1e7840ee76e365 + .quad 0xc0733aa49d01fcb0, 0xbe1e79f3fd01907e + .quad 0xc0733aa88065d7a0, 0xbe1e77bbb3a9c38a + .quad 0xc0733aac619dedb0, 0xbe1e7742719bf41d + .quad 0xc0733ab040acaa20, 0xbe1e79bcedaf79cb + .quad 0xc0733ab41d947450, 0xbe1e762d63cb7ca0 + .quad 0xc0733ab7f857af50, 0xbe1e77a07be83403 + .quad 0xc0733abbd0f8ba80, 0xbe1e7763ff836ad0 + .quad 0xc0733abfa779f130, 0xbe1e7737720ead39 + .quad 0xc0733ac37bddaad0, 0xbe1e7776a08e55e7 + .quad 0xc0733ac74e263af0, 0xbe1e793e3c52dd36 + .quad 0xc0733acb1e55f160, 0xbe1e788a94695051 + .quad 0xc0733aceec6f1a10, 0xbe1e76508114a813 + .quad 0xc0733ad2b873fd20, 0xbe1e76909457d23e + .quad 0xc0733ad68266df10, 0xbe1e7664a24f9ca4 + .quad 0xc0733ada4a4a0090, 0xbe1e7a07b3d44b18 + .quad 0xc0733ade101f9ee0, 0xbe1e76d87594704d + .quad 0xc0733ae1d3e9f340, 0xbe1e79563595a182 + .quad 0xc0733ae595ab33b0, 0xbe1e771880c3c6ab + .quad 0xc0733ae955659250, 0xbe1e78c171f517d4 + .quad 0xc0733aed131b3df0, 0xbe1e77eac3874666 + .quad 0xc0733af0cece61b0, 0xbe1e790db479d8f6 + .quad 0xc0733af488812550, 0xbe1e7965d1aa5c90 + .quad 0xc0733af84035ad10, 0xbe1e78ceb398ba47 + .quad 0xc0733afbf5ee19c0, 0xbe1e779cc0dcb5aa + .quad 0xc0733affa9ac88c0, 0xbe1e7871053953ed + .quad 0xc0733b035b731420, 0xbe1e7a082cffa71a + .quad 0xc0733b070b43d2a0, 0xbe1e7904b4382fad + .quad 0xc0733b0ab920d790, 0xbe1e79b458d0b4f3 + .quad 0xc0733b0e650c3310, 0xbe1e79d0ded414c6 + .quad 0xc0733b120f07f200, 0xbe1e763c357a1943 + .quad 0xc0733b15b7161dd0, 0xbe1e78b80ba6daaa + .quad 0xc0733b195d38bd00, 0xbe1e7998e23b8ffd + .quad 0xc0733b1d0171d2c0, 0xbe1e7974aa65ee8c + .quad 0xc0733b20a3c35f20, 0xbe1e76ccfde752ab + .quad 0xc0733b24442f5ef0, 0xbe1e77b4ff19debb + .quad 0xc0733b27e2b7cc10, 0xbe1e7772ee478542 + .quad 0xc0733b2b7f5e9d30, 0xbe1e781d81b58b44 + .quad 0xc0733b2f1a25c600, 0xbe1e78350d967565 + .quad 0xc0733b32b30f3720, 0xbe1e783888e48152 + .quad 0xc0733b364a1cde30, 0xbe1e78367bf7c111 + .quad 0xc0733b39df50a5d0, 0xbe1e7959e57ca47d + .quad 0xc0733b3d72ac75c0, 0xbe1e777322423222 + .quad 0xc0733b41043232b0, 0xbe1e767ce42a60aa + .quad 0xc0733b4493e3be70, 0xbe1e781d445aea19 + .quad 0xc0733b4821c2f800, 0xbe1e7922fca18e18 + .quad 0xc0733b4badd1bb80, 0xbe1e76fed3d40647 + .quad 0xc0733b4f3811e210, 0xbe1e793948c9eabc + .quad 0xc0733b52c0854240, 0xbe1e76e487656b8c + .quad 0xc0733b56472daf90, 0xbe1e780ab2f71223 + .quad 0xc0733b59cc0cfaf0, 0xbe1e77189120b09c + .quad 0xc0733b5d4f24f270, 0xbe1e7644a0343a12 + .quad 0xc0733b60d0776160, 0xbe1e78f2a3e4733d + .quad 0xc0733b6450061080, 0xbe1e7913b2f73ae5 + .quad 0xc0733b67cdd2c5c0, 0xbe1e7882d08393b5 + .quad 0xc0733b6b49df4470, 0xbe1e765e1b209979 + .quad 0xc0733b6ec42d4d20, 0xbe1e785c9c4620d4 + .quad 0xc0733b75b394f240, 0xbe1e78878cd0e956 + .quad 0xc0733b7c9c178630, 0xbe1e789a4112d90b + .quad 0xc0733b837dc2b0f0, 0xbe1e79050b8a1766 + .quad 0xc0733b8a58a3f220, 0xbe1e7790dffc47aa + .quad 0xc0733b912cc8a180, 0xbe1e77174593b06a + .quad 0xc0733b97fa3defb0, 0xbe1e7677de2d2ecc + .quad 0xc0733b9ec110e6b0, 0xbe1e76cff477ca18 + .quad 0xc0733ba5814e6a80, 0xbe1e78f8644dec7b + .quad 0xc0733bac3b0339d0, 0xbe1e764e1361788d + .quad 0xc0733bb2ee3bee30, 0xbe1e78c913e738de + .quad 0xc0733bb99b04fd30, 0xbe1e76666f5bddaa + .quad 0xc0733bc0416ab850, 0xbe1e77e87cbd8ab6 + .quad 0xc0733bc6e1794e10, 0xbe1e76f18ba1c966 + .quad 0xc0733bcd7b3cca10, 0xbe1e777c9461b8db + .quad 0xc0733bd40ec115d0, 0xbe1e78b78526ffac + .quad 0xc0733bda9c11f920, 0xbe1e7942abecfede + .quad 0xc0733be1233b1aa0, 0xbe1e76d8a684fd8c + .quad 0xc0733be7a4480010, 0xbe1e79622b539ac9 + .quad 0xc0733bee1f440f30, 0xbe1e7978e7cc20ea + .quad 0xc0733bf4943a8de0, 0xbe1e765c9c9de825 + .quad 0xc0733bfb0336a290, 0xbe1e775d8b138ee2 + .quad 0xc0733c016c435500, 0xbe1e78bf33465c2f + .quad 0xc0733c07cf6b8e80, 0xbe1e78164f7cc441 + .quad 0xc0733c0e2cba1a50, 0xbe1e7824e64d0b23 + .quad 0xc0733c148439a630, 0xbe1e78373ae7dd81 + .quad 0xc0733c1ad5f4c2c0, 0xbe1e7704513e0afe + .quad 0xc0733c2121f5e3d0, 0xbe1e7914aa84200f + .quad 0xc0733c2768476110, 0xbe1e76b1cde25cf6 + .quad 0xc0733c2da8f37600, 0xbe1e796120e3862d + .quad 0xc0733c33e40442e0, 0xbe1e78ec836d7e7b + .quad 0xc0733c3a1983cca0, 0xbe1e77fb13b7dabb + .quad 0xc0733c40497bfd70, 0xbe1e783c6fcb2404 + .quad 0xc0733c4673f6a530, 0xbe1e7628bb93dce8 + .quad 0xc0733c4c98fd7990, 0xbe1e7857a47b5001 + .quad 0xc0733c52b89a16d0, 0xbe1e76708dc2831f + .quad 0xc0733c58d2d5ffa0, 0xbe1e77b6038651f1 + .quad 0xc0733c5ee7ba9de0, 0xbe1e792e855bb5b2 + .quad 0xc0733c64f75142d0, 0xbe1e776cacd5c105 + .quad 0xc0733c6b01a32740, 0xbe1e77f8a8011315 + .quad 0xc0733c7106b96c30, 0xbe1e765cf3efcfde + .quad 0xc0733c77069d1ad0, 0xbe1e78d837d2efac + .quad 0xc0733c7d01572530, 0xbe1e78b615cf772c + .quad 0xc0733c82f6f06640, 0xbe1e7650bbbd7a25 + .quad 0xc0733c88e771a220, 0xbe1e78bcf3495872 + .quad 0xc0733c8ed2e386c0, 0xbe1e792266832e84 + .quad 0xc0733c94b94eabd0, 0xbe1e79c1c3c2ca52 + .quad 0xc0733c9a9abb9340, 0xbe1e78aa61e5807d + .quad 0xc0733ca07732a970, 0xbe1e7620fc4cf156 + .quad 0xc0733ca64ebc4570, 0xbe1e76b914a832c5 + .quad 0xc0733cac2160a970, 0xbe1e79227f72020e + .quad 0xc0733cb1ef280300, 0xbe1e77ac972cc008 + .quad 0xc0733cb7b81a6b10, 0xbe1e798089be41f4 + .quad 0xc0733cbd7c3fe6a0, 0xbe1e77942ae037fe + .quad 0xc0733cc33ba06690, 0xbe1e7956ae6463d9 + .quad 0xc0733cc8f643c850, 0xbe1e7918a50c7942 + .quad 0xc0733cceac31d5d0, 0xbe1e78308eeab604 + .quad 0xc0733cd45d7245e0, 0xbe1e76dd4ea88445 + .quad 0xc0733cda0a0cbc60, 0xbe1e77e7c1aa5909 + .quad 0xc0733cdfb208caa0, 0xbe1e7804b9d20e54 + .quad 0xc0733ce5556def70, 0xbe1e78f88e99d49c + .quad 0xc0733ceaf4439780, 0xbe1e787d74682d68 + .quad 0xc0733cf08e911d80, 0xbe1e76edc24fe6e7 + .quad 0xc0733cf6245dca50, 0xbe1e79b347ec86d2 + .quad 0xc0733cfbb5b0d580, 0xbe1e797cceb2c39b + .quad 0xc0733d0142916530, 0xbe1e783adbdc6aa1 + .quad 0xc0733d06cb068e70, 0xbe1e76e4c20e3d9e + .quad 0xc0733d0c4f175570, 0xbe1e77070bf3cf61 + .quad 0xc0733d11cecaadc0, 0xbe1e781c43502734 + .quad 0xc0733d174a277a80, 0xbe1e78b11268ea72 + .quad 0xc0733d1cc1348e90, 0xbe1e7754b83bfc7d + .quad 0xc0733d2233f8acb0, 0xbe1e7756c29bf5e9 + .quad 0xc0733d27a27a87d0, 0xbe1e7952fc1d9333 + .quad 0xc0733d2d0cc0c350, 0xbe1e778c76ae6077 + .quad 0xc0733d3272d1f2e0, 0xbe1e7a1896ba8f43 + .quad 0xc0733d37d4b49b30, 0xbe1e76dafdf432d8 + .quad 0xc0733d3d326f3180, 0xbe1e795330184013 + .quad 0xc0733d428c081c80, 0xbe1e763cc774d30f + .quad 0xc0733d47e185b3d0, 0xbe1e77030a779c0a + .quad 0xc0733d4d32ee40b0, 0xbe1e7908af2a2d7e + .quad 0xc0733d528047fe00, 0xbe1e78c4953b797d + .quad 0xc0733d57c9991850, 0xbe1e78b43b096579 + .quad 0xc0733d5d0ee7ae30, 0xbe1e7824ae0a4804 + .quad 0xc0733d625039d040, 0xbe1e79d2b2fbb740 + .quad 0xc0733d678d958190, 0xbe1e7662de59a1a6 + .quad 0xc0733d6cc700b760, 0xbe1e76b251d59aaa + .quad 0xc0733d71fc8159b0, 0xbe1e7a00cfd1f487 + .quad 0xc0733d772e1d4360, 0xbe1e77f4d246167e + .quad 0xc0733d7c5bda4200, 0xbe1e767a4ee8e6fc + .quad 0xc0733d8185be1640, 0xbe1e777ccf0a8aed + .quad 0xc0733d86abce7420, 0xbe1e767d7e279ada + .quad 0xc0733d8bce1102d0, 0xbe1e7a05cef4bb90 + .quad 0xc0733d90ec8b5d40, 0xbe1e78f75369be5b + .quad 0xc0733d96074311d0, 0xbe1e77b9612e8c8a + .quad 0xc0733d9b1e3da2b0, 0xbe1e794518b9adeb + .quad 0xc0733da031808620, 0xbe1e7810626fb934 + .quad 0xc0733da541112650, 0xbe1e76d87223fa6d + .quad 0xc0733daa4cf4e1a0, 0xbe1e794c5e7ca3b5 + .quad 0xc0733daf55310af0, 0xbe1e789856ef816f + .quad 0xc0733db459cae970, 0xbe1e77d2004effbd + .quad 0xc0733db95ac7b8f0, 0xbe1e78467d31eb9c + .quad 0xc0733dbe582caa00, 0xbe1e79aaa4e25787 + .quad 0xc0733dc351fee220, 0xbe1e762de8f107bf + .quad 0xc0733dc848437b90, 0xbe1e7670670a63fe + .quad 0xc0733dcd3aff85d0, 0xbe1e795ca237c6cc + .quad 0xc0733dd22a3805b0, 0xbe1e77e55c53c1d9 + .quad 0xc0733dd715f1f520, 0xbe1e78a806213ac4 + .quad 0xc0733ddbfe3243b0, 0xbe1e77743a2bc615 + .quad 0xc0733de0e2fdd660, 0xbe1e78b8b45b0b7d + .quad 0xc0733de5c4598800, 0xbe1e78d635f2f4b9 + .quad 0xc0733deaa24a2920, 0xbe1e7758c396a11e + .quad 0xc0733def7cd48020, 0xbe1e7a17a8cc454c + .quad 0xc0733df453fd49a0, 0xbe1e783caa73f616 + .quad 0xc0733df927c93820, 0xbe1e7932cfa29664 + .quad 0xc0733dfdf83cf490, 0xbe1e777d265c72a6 + .quad 0xc0733e02c55d1e10, 0xbe1e7775e7c03c60 + .quad 0xc0733e078f2e4a40, 0xbe1e79f65d52d232 + .quad 0xc0733e0c55b50570, 0xbe1e76e7e7464b4e + .quad 0xc0733e1118f5d250, 0xbe1e77be81cad877 + .quad 0xc0733e15d8f52a80, 0xbe1e79dd25b5fb3a + .quad 0xc0733e1a95b77e80, 0xbe1e78e45f1418ef + .quad 0xc0733e1f4f4135a0, 0xbe1e78eb7289505b + .quad 0xc0733e240596ae50, 0xbe1e78a468c07cad + .quad 0xc0733e28b8bc3e20, 0xbe1e776b558a4009 + .quad 0xc0733e2d68b631d0, 0xbe1e77412eb9941e + .quad 0xc0733e321588cd80, 0xbe1e76b2853f845e + .quad 0xc0733e36bf384cb0, 0xbe1e76aa7184273c + .quad 0xc0733e3b65c8e260, 0xbe1e7832027f78fa + .quad 0xc0733e40093eb930, 0xbe1e7a1c7da131f5 + .quad 0xc0733e44a99df380, 0xbe1e76a0bc2ae4bc + .quad 0xc0733e4946eaab30, 0xbe1e78dff13b6f5d + .quad 0xc0733e4de128f250, 0xbe1e765a226dea2c + .quad 0xc0733e52785cd290, 0xbe1e78509b989111 + .quad 0xc0733e570c8a4de0, 0xbe1e7916a4e9803d + .quad 0xc0733e5b9db55e30, 0xbe1e7950c15758cc + .quad 0xc0733e602be1f5a0, 0xbe1e7922ba1ad420 + .quad 0xc0733e64b713fe90, 0xbe1e794cbaabcef6 + .quad 0xc0733e693f4f5bc0, 0xbe1e7837bf883fed + .quad 0xc0733e6dc497e850, 0xbe1e76f198ddbbdf + .quad 0xc0733e7246f177d0, 0xbe1e7a18c1067764 + .quad 0xc0733e76c65fd6a0, 0xbe1e76b845a8fd9d + .quad 0xc0733e7b42e6c970, 0xbe1e7714012df506 + .quad 0xc0733e7fbc8a0de0, 0xbe1e7765612922cd + .quad 0xc0733e84334d5a50, 0xbe1e7688f5424a00 + .quad 0xc0733e88a7345df0, 0xbe1e769d011f6663 + .quad 0xc0733e8d1842c0e0, 0xbe1e79914acbfaf7 + .quad 0xc0733e91867c2460, 0xbe1e79a85e189bd7 + .quad 0xc0733e95f1e422a0, 0xbe1e79ea7c726432 + .quad 0xc0733e9a5a7e4f10, 0xbe1e768a6fbb8e6e + .quad 0xc0733e9ec04e3620, 0xbe1e793c75bcc9fc + .quad 0xc0733ea323575dd0, 0xbe1e797f78da13d4 + .quad 0xc0733ea7839d4550, 0xbe1e78d8c9cda978 + .quad 0xc0733eabe1236540, 0xbe1e77028d480fff + .quad 0xc0733eb03bed2fa0, 0xbe1e7a0d0f74ff7c + .quad 0xc0733eb493fe1040, 0xbe1e76732e8a35fb + .quad 0xc0733eb8e9596c30, 0xbe1e77220caeabeb + .quad 0xc0733ebd3c02a260, 0xbe1e797438b645ef + .quad 0xc0733ec18bfd0b80, 0xbe1e79207c5fd6e8 + .quad 0xc0733ec5d94bf9f0, 0xbe1e781c7df8f946 + .quad 0xc0733eca23f2b9f0, 0xbe1e76736284e2db + .quad 0xc0733ece6bf49190, 0xbe1e7a109cc0c3f5 + .quad 0xc0733ed2b154c120, 0xbe1e767f14a16d50 + .quad 0xc0733ed6f4168290, 0xbe1e789cd22acaf0 + .quad 0xc0733edb343d0a40, 0xbe1e764355ca28ad + .quad 0xc0733edf71cb8660, 0xbe1e79e4c7a81c45 + .quad 0xc0733ee3acc51fb0, 0xbe1e761e26b644c2 + .quad 0xc0733ee7e52cf8c0, 0xbe1e793e9f8fbdd3 + .quad 0xc0733eec1b062ed0, 0xbe1e78c432991c20 + .quad 0xc0733ef04e53d940, 0xbe1e78cdd025f4d8 + .quad 0xc0733ef47f1909f0, 0xbe1e778310c6446e + .quad 0xc0733ef8ad58cd20, 0xbe1e7871af3d6e17 + .quad 0xc0733efcd91629b0, 0xbe1e77e0e906f697 + .quad 0xc0733f01025420f0, 0xbe1e7a1ae9b27892 + .quad 0xc0733f052915af00, 0xbe1e76ac64c88f9d + .quad 0xc0733f094d5dca60, 0xbe1e779a815589c4 + .quad 0xc0733f0d6f2f6480, 0xbe1e788f39a4864c + .quad 0xc0733f118e8d6980, 0xbe1e79fc51263525 + .quad 0xc0733f15ab7ac060, 0xbe1e783501f19e90 + .quad 0xc0733f19c5fa4ae0, 0xbe1e767e82c327ab + .quad 0xc0733f1dde0ee5a0, 0xbe1e7a1785d66123 + .quad 0xc0733f21f3bb6870, 0xbe1e7936d07203da + .quad 0xc0733f260702a5e0, 0xbe1e7a010a7ac699 + .quad 0xc0733f2a17e76bb0, 0xbe1e7975e4e16312 + .quad 0xc0733f2e266c82b0, 0xbe1e7654b5422330 + .quad 0xc0733f323294aeb0, 0xbe1e77f8a4909d35 + .quad 0xc0733f363c62aee0, 0xbe1e792c8e30d226 + .quad 0xc0733f3a43d93da0, 0xbe1e76f6ac67a1ff + .quad 0xc0733f3e48fb1070, 0xbe1e775c2e97715a + .quad 0xc0733f424bcad840, 0xbe1e781cd54ae100 + /*== Log_LA_table ==*/ + .align 32 + .quad 0x0000000000000000 + .quad 0xbf4bc48a867884b7 + .quad 0xbf5bbd9e9482af09 + .quad 0xbf64c9096b94befd + .quad 0xbf6bafd47221ed26 + .quad 0xbf714999e2ad8ea6 + .quad 0xbf74b99563d2a1bd + .quad 0xbf7827de6b310350 + .quad 0xbf7b9476a4fcd10f + .quad 0xbf7eff5fbaf25781 + .quad 0xbf81344daa2d7553 + .quad 0xbf82e8158b08d957 + .quad 0xbf849b0851443684 + .quad 0xbf864d26cce610dd + .quad 0xbf87fe71ccc4e6b0 + .quad 0xbf89aeea1e897fdf + .quad 0xbf8b5e908eb13790 + .quad 0xbf8d0d65e890405a + .quad 0xbf8ebb6af653e2ee + .quad 0xbf90345040825bad + .quad 0xbf910a83a8446c78 + .quad 0xbf91e05015d30a71 + .quad 0xbf92b5b5ec0209d3 + .quad 0xbf938ab58d173e91 + .quad 0xbf945f4f5acb8be0 + .quad 0xbf953383b64bf13f + .quad 0xbf960753003a94ef + .quad 0xbf96dabd98afcc05 + .quad 0xbf97adc3df3b1ff8 + .quad 0xbf98806632e451d0 + .quad 0xbf9952a4f22c5ae9 + .quad 0xbf9a24807b0e6b5c + .quad 0xbf9af5f92b00e610 + .quad 0xbf9bc70f5ef65a77 + .quad 0xbf9c97c3735e7c0a + .quad 0xbf9d6815c4271775 + .quad 0xbf9e3806acbd058f + .quad 0xbf9f0796880d1c19 + .quad 0xbf9fd6c5b0851c4c + .quad 0xbfa052ca400a4f9b + .quad 0xbfa0ba01a8170000 + .quad 0xbfa121093ce3a205 + .quad 0xbfa187e12aad8077 + .quad 0xbfa1ee899d74a03e + .quad 0xbfa25502c0fc314c + .quad 0xbfa2bb4cc0cafe8d + .quad 0xbfa32167c82bdcda + .quad 0xbfa38754022e18e2 + .quad 0xbfa3ed1199a5e425 + .quad 0xbfa452a0b92cc0ec + .quad 0xbfa4b8018b21ed4f + .quad 0xbfa51d3439aacd4a + .quad 0xbfa58238eeb353da + .quad 0xbfa5e70fd3ee6b34 + .quad 0xbfa64bb912d65c07 + .quad 0xbfa6b034d4ad33df + .quad 0xbfa71483427d2a99 + .quad 0xbfa778a4851906f3 + .quad 0xbfa7dc98c51c8242 + .quad 0xbfa840602aecab3d + .quad 0xbfa8a3fadeb847f4 + .quad 0xbfa90769087836e4 + .quad 0xbfa96aaacfefcf3c + .quad 0xbfa9cdc05cad4042 + .quad 0xbfaa30a9d609efea + .quad 0xbfaa9367632ad897 + .quad 0xbfaaf5f92b00e610 + .quad 0xbfab585f544951a4 + .quad 0xbfabba9a058dfd84 + .quad 0xbfac1ca96525cf56 + .quad 0xbfac7e8d993509f9 + .quad 0xbface046c7ada68d + .quad 0xbfad41d5164facb4 + .quad 0xbfada338aaa98a0c + .quad 0xbfae0471aa1868f5 + .quad 0xbfae658039c88690 + .quad 0xbfaec6647eb58808 + .quad 0xbfaf271e9daacf20 + .quad 0xbfaf87aebb43ce06 + .quad 0xbfafe814fbec5a77 + .quad 0xbfb02428c1f08016 + .quad 0xbfb054323b97a948 + .quad 0xbfb08426fcdb1ee7 + .quad 0xbfb0b40717932b96 + .quad 0xbfb0e3d29d81165e + .quad 0xbfb11389a04f4a2e + .quad 0xbfb1432c31917d08 + .quad 0xbfb172ba62c4d6de + .quad 0xbfb1a23445501816 + .quad 0xbfb1d199ea83bfbe + .quad 0xbfb200eb639a3173 + .quad 0xbfb23028c1b7daed + .quad 0xbfb25f5215eb594a + .quad 0xbfb28e67712d9dfc + .quad 0xbfb2bd68e4621371 + .quad 0xbfb2ec568056c16f + .quad 0xbfb31b3055c47118 + .quad 0xbfb349f6754ed0b4 + .quad 0xbfb378a8ef84971e + .quad 0xbfb3a747d4dfa6f5 + .quad 0xbfb3d5d335c53179 + .quad 0xbfb4044b2285d925 + .quad 0xbfb432afab5dd3ff + .quad 0xbfb46100e0750da1 + .quad 0xbfb48f3ed1df48fb + .quad 0xbfb4bd698f9c41cf + .quad 0xbfb4eb812997cde4 + .quad 0xbfb51985afa9fdfd + .quad 0xbfb5477731973e85 + .quad 0xbfb57555bf1077f5 + .quad 0xbfb5a32167b32f02 + .quad 0xbfb5d0da3b09a47e + .quad 0xbfb5fe80488af4fd + .quad 0xbfb62c139f9b3837 + .quad 0xbfb659944f8ba02d + .quad 0xbfb68702679a980a + .quad 0xbfb6b45df6f3e2c9 + .quad 0xbfb6e1a70cb0b99a + .quad 0xbfb70eddb7d7ea07 + .quad 0xbfb73c02075df3e5 + .quad 0xbfb769140a2526fd + .quad 0xbfb79613cefdc07d + .quad 0xbfb7c30164a60836 + .quad 0xbfb7efdcd9ca6d8f + .quad 0xbfb81ca63d05a44a + .quad 0xbfb8495d9ce0c10c + .quad 0xbfb8760307d355ab + .quad 0xbfb8a2968c438d41 + .quad 0xbfb8cf183886480d + .quad 0xbfb8fb881adf3713 + .quad 0xbfb927e64180f790 + .quad 0xbfb95432ba8d2e2f + .quad 0xbfb9806d9414a209 + .quad 0xbfb9ac96dc175776 + .quad 0xbfb9d8aea084aa9c + .quad 0xbfba04b4ef3b69d8 + .quad 0xbfba30a9d609efea + .quad 0xbfba5c8d62ae3dec + .quad 0xbfba885fa2d6151e + .quad 0xbfbab420a41f1076 + .quad 0xbfbadfd07416be07 + .quad 0xbfbb0b6f203ab82c + .quad 0xbfbb36fcb5f8be8a + .quad 0xbfbb627942aecedd + .quad 0xbfbb8de4d3ab3d98 + .quad 0xbfbbb93f762cce4f + .quad 0xbfbbe4893762cbf7 + .quad 0xbfbc0fc2246d20f5 + .quad 0xbfbc3aea4a5c6eff + .quad 0xbfbc6601b63226cb + .quad 0xbfbc910874e09f98 + .quad 0xbfbcbbfe934b2e81 + .quad 0xbfbce6e41e463da5 + .quad 0xbfbd11b92297632b + .quad 0xbfbd3c7dacf5780b + .quad 0xbfbd6731ca08aeb9 + .quad 0xbfbd91d5866aa99c + .quad 0xbfbdbc68eea6915b + .quad 0xbfbde6ec0f392b05 + .quad 0xbfbe115ef490ee07 + .quad 0xbfbe3bc1ab0e19fe + .quad 0xbfbe66143f02cc5d + .quad 0xbfbe9056bcb315e8 + .quad 0xbfbeba893055100b + .quad 0xbfbee4aba610f204 + .quad 0xbfbf0ebe2a0125eb + .quad 0xbfbf38c0c8325d86 + .quad 0xbfbf62b38ca3a706 + .quad 0xbfbf8c9683468191 + .quad 0xbfbfb669b7fef1a8 + .quad 0xbfbfe02d36a3956d + .quad 0xbfc004f0857edc5c + .quad 0xbfc019c2a064b486 + .quad 0xbfc02e8cf1dac4b8 + .quad 0xbfc0434f7fb1f307 + .quad 0xbfc0580a4fb4a3df + .quad 0xbfc06cbd67a6c3b6 + .quad 0xbfc08168cd45d0a9 + .quad 0xbfc0960c8648e406 + .quad 0xbfc0aaa89860bbcf + .quad 0xbfc0bf3d0937c41c + .quad 0xbfc0d3c9de722078 + .quad 0xbfc0e84f1dadb526 + .quad 0xbfc0fccccc823059 + .quad 0xbfc11142f0811357 + .quad 0xbfc125b18f35bb8e + .quad 0xbfc13a18ae256b99 + .quad 0xbfc14e7852cf5430 + .quad 0xbfc162d082ac9d10 + .quad 0xbfc1772143306dc6 + .quad 0xbfc18b6a99c7f679 + .quad 0xbfc19fac8bda7897 + .quad 0xbfc1b3e71ec94f7b + .quad 0xbfc1c81a57eff8fd + .quad 0xbfc1dc463ca41df8 + .quad 0xbfc1f06ad2359abd + .quad 0xbfc204881dee8777 + .quad 0xbfc2189e25134081 + .quad 0xbfc22cacece26ead + .quad 0xbfc240b47a950f79 + .quad 0xbfc254b4d35e7d3c + .quad 0xbfc268adfc6c773e + .quad 0xbfc27c9ffae729c1 + .quad 0xbfc2908ad3f13603 + .quad 0xbfc2a46e8ca7ba2a + .quad 0xbfc2b84b2a225923 + .quad 0xbfc2cc20b1734279 + .quad 0xbfc2dfef27a73a18 + .quad 0xbfc2f3b691c5a001 + .quad 0xbfc30776f4d077f7 + .quad 0xbfc31b3055c47118 + .quad 0xbfc32ee2b998ed6e + .quad 0xbfc3428e2540096d + .quad 0x3fc331f403985097 + .quad 0x3fc31e56798a910a + .quad 0x3fc30abfd8f333b6 + .quad 0x3fc2f7301cf4e87b + .quad 0x3fc2e3a740b7800f + .quad 0x3fc2d0253f67e4cb + .quad 0x3fc2bcaa14381386 + .quad 0x3fc2a935ba5f1479 + .quad 0x3fc295c82d18f434 + .quad 0x3fc2826167a6bc9c + .quad 0x3fc26f01654e6df6 + .quad 0x3fc25ba8215af7fc + .quad 0x3fc24855971c3307 + .quad 0x3fc23509c1e6d937 + .quad 0x3fc221c49d147fb3 + .quad 0x3fc20e8624038fed + .quad 0x3fc1fb4e521740f4 + .quad 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0x3f84348fe2b99002 + .quad 0x3f8351352a8e733f + .quad 0x3f826e1481213c2e + .quad 0x3f818b2dc8d2bb91 + .quad 0x3f80a880e41a67f6 + .quad 0x3f7f8c1b6b0c8d4e + .quad 0x3f7dc7a83f75a96d + .quad 0x3f7c03a80ae5e054 + .quad 0x3f7a401a92ff827e + .quad 0x3f787cff9d9147a5 + .quad 0x3f76ba56f09621bc + .quad 0x3f74f8205235102d + .quad 0x3f73365b88c0f347 + .quad 0x3f7175085ab85ff0 + .quad 0x3f6f684d1d8ae702 + .quad 0x3f6be76bd77b4fc3 + .quad 0x3f68676c71434fb9 + .quad 0x3f64e84e793a474a + .quad 0x3f616a117e0d4b30 + .quad 0x3f5bd96a1d7d9cbc + .quad 0x3f54e071754c98ba + .quad 0x3f4bd27045bfd025 + .quad 0x3f3bcef518e29612 + .quad 0x8000000000000000 + /*== poly_coeff[5] ==*/ + .align 32 + .quad 0x3fb63C65231FBD16, 0x3fb63C65231FBD16, 0x3fb63C65231FBD16, 0x3fb63C65231FBD16 /* coeff5 */ + .quad 0xbfbBCB7D4EFBE80B, 0xbfbBCB7D4EFBE80B, 0xbfbBCB7D4EFBE80B, 0xbfbBCB7D4EFBE80B /* coeff4 */ + .quad 0x3fc287A7636F341E, 0x3fc287A7636F341E, 0x3fc287A7636F341E, 0x3fc287A7636F341E /* coeff3 */ + .quad 0xbfcBCB7B1526DE36, 0xbfcBCB7B1526DE36, 0xbfcBCB7B1526DE36, 0xbfcBCB7B1526DE36 /* coeff2 */ + .quad 0x3fdBCB7B1526E50E, 0x3fdBCB7B1526E50E, 0x3fdBCB7B1526E50E, 0x3fdBCB7B1526E50E /* coeff1 */ + /*== ExpMask ==*/ + .align 32 + .quad 0x000fffffffffffff, 0x000fffffffffffff, 0x000fffffffffffff, 0x000fffffffffffff + /*== Two10 ==*/ + .align 32 + .quad 0x3f50000000000000, 0x3f50000000000000, 0x3f50000000000000, 0x3f50000000000000 + /*== MinNorm ==*/ + .align 32 + .quad 0x0010000000000000, 0x0010000000000000, 0x0010000000000000, 0x0010000000000000 + /*== MaxNorm ==*/ + .align 32 + .quad 0x7fefffffffffffff, 0x7fefffffffffffff, 0x7fefffffffffffff, 0x7fefffffffffffff + /*== HalfMask ==*/ + .align 32 + .quad 0xfffffffffc000000, 0xfffffffffc000000, 0xfffffffffc000000, 0xfffffffffc000000 + /*== One ==*/ + .align 32 + .quad 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000 + /*== Threshold ==*/ + .align 32 + .quad 0x4086a00000000000, 0x4086a00000000000, 0x4086a00000000000, 0x4086a00000000000 + /*== Bias ==*/ + .align 32 + .quad 0x408ff80000000000, 0x408ff80000000000, 0x408ff80000000000, 0x408ff80000000000 + /*== Bias1 ==*/ + .align 32 + .quad 0x408ff00000000000, 0x408ff00000000000, 0x408ff00000000000, 0x408ff00000000000 + /*== L2 ==*/ + .align 32 + .quad 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff + .align 32 + .type __svml_dlog10_data_internal,@object + .size __svml_dlog10_data_internal,.-__svml_dlog10_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core-avx2.S new file mode 100644 index 0000000000..3432e7cffe --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized log10, 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_log10 _ZGVeN8v_log10_avx2_wrapper +#include "../svml_d_log108_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core.c new file mode 100644 index 0000000000..273a0d4739 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized log10, 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_log10 +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN8v_log10, __GI__ZGVeN8v_log10, __redirect__ZGVeN8v_log10) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core_avx512.S new file mode 100644 index 0000000000..0799f99eba --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_log108_core_avx512.S @@ -0,0 +1,299 @@ +/* Function log10 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_dlog10_data_internal_avx512 + */ +#define Log_tbl 0 +#define One 128 +#define C075 192 +#define poly_coeff9 256 +#define poly_coeff8 320 +#define poly_coeff7 384 +#define poly_coeff6 448 +#define poly_coeff5 512 +#define poly_coeff4 576 +#define poly_coeff3 640 +#define poly_coeff2 704 +#define poly_coeff1 768 +#define L2 832 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_log10_skx) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-64, %rsp + subq $192, %rsp + vmovaps %zmm0, %zmm7 + vgetmantpd $8, {sae}, %zmm7, %zmm6 + vmovups One+__svml_dlog10_data_internal_avx512(%rip), %zmm3 + vmovups poly_coeff5+__svml_dlog10_data_internal_avx512(%rip), %zmm12 + vmovups poly_coeff3+__svml_dlog10_data_internal_avx512(%rip), %zmm13 + +/* Start polynomial evaluation */ + vmovups poly_coeff9+__svml_dlog10_data_internal_avx512(%rip), %zmm10 + vmovups poly_coeff8+__svml_dlog10_data_internal_avx512(%rip), %zmm1 + vmovups poly_coeff7+__svml_dlog10_data_internal_avx512(%rip), %zmm11 + vmovups poly_coeff6+__svml_dlog10_data_internal_avx512(%rip), %zmm14 + +/* Prepare exponent correction: DblRcp<0.75? */ + vmovups C075+__svml_dlog10_data_internal_avx512(%rip), %zmm2 + +/* Table lookup */ + vmovups __svml_dlog10_data_internal_avx512(%rip), %zmm5 + +/* GetExp(x) */ + vgetexppd {sae}, %zmm7, %zmm0 + +/* DblRcp ~ 1/Mantissa */ + vrcp14pd %zmm6, %zmm8 + +/* x<=0? */ + vfpclasspd $94, %zmm7, %k0 + +/* round DblRcp to 4 fractional bits (RN mode, no Precision exception) */ + vrndscalepd $88, {sae}, %zmm8, %zmm4 + vmovups poly_coeff4+__svml_dlog10_data_internal_avx512(%rip), %zmm8 + kmovw %k0, %edx + +/* Reduced argument: R = DblRcp*Mantissa - 1 */ + vfmsub213pd {rn-sae}, %zmm3, %zmm4, %zmm6 + vcmppd $17, {sae}, %zmm2, %zmm4, %k1 + vfmadd231pd {rn-sae}, %zmm6, %zmm12, %zmm8 + vmovups poly_coeff2+__svml_dlog10_data_internal_avx512(%rip), %zmm12 + vfmadd231pd {rn-sae}, %zmm6, %zmm10, %zmm1 + vfmadd231pd {rn-sae}, %zmm6, %zmm11, %zmm14 + vmovups poly_coeff1+__svml_dlog10_data_internal_avx512(%rip), %zmm2 + +/* R^2 */ + vmulpd {rn-sae}, %zmm6, %zmm6, %zmm15 + vfmadd231pd {rn-sae}, %zmm6, %zmm13, %zmm12 + +/* Prepare table index */ + vpsrlq $48, %zmm4, %zmm9 + +/* add 1 to Expon if DblRcp<0.75 */ + vaddpd {rn-sae}, %zmm3, %zmm0, %zmm0{%k1} + vmulpd {rn-sae}, %zmm15, %zmm15, %zmm13 + vfmadd213pd {rn-sae}, %zmm14, %zmm15, %zmm1 + vfmadd213pd {rn-sae}, %zmm12, %zmm15, %zmm8 + vpermt2pd Log_tbl+64+__svml_dlog10_data_internal_avx512(%rip), %zmm9, %zmm5 + +/* polynomial */ + vfmadd213pd {rn-sae}, %zmm8, %zmm13, %zmm1 + vfmadd213pd {rn-sae}, %zmm2, %zmm6, %zmm1 + vfmadd213pd {rn-sae}, %zmm5, %zmm1, %zmm6 + vmovups L2+__svml_dlog10_data_internal_avx512(%rip), %zmm1 + vfmadd213pd {rn-sae}, %zmm6, %zmm1, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm7 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %zmm7, 64(%rsp) + vmovups %zmm0, 128(%rsp) + # LOE rbx r12 r13 r14 r15 edx zmm0 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $8, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 128(%rsp), %zmm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 zmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 64(%rsp,%r14,8), %xmm0 + call log10@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 128(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN8v_log10_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_dlog10_data_internal_avx512_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 Log_tbl[16][2]; + __declspec(align(64)) VUINT32 One[8][2]; + __declspec(align(64)) VUINT32 C075[8][2]; + __declspec(align(64)) VUINT32 poly_coeff9[8][2]; + __declspec(align(64)) VUINT32 poly_coeff8[8][2]; + __declspec(align(64)) VUINT32 poly_coeff7[8][2]; + __declspec(align(64)) VUINT32 poly_coeff6[8][2]; + __declspec(align(64)) VUINT32 poly_coeff5[8][2]; + __declspec(align(64)) VUINT32 poly_coeff4[8][2]; + __declspec(align(64)) VUINT32 poly_coeff3[8][2]; + __declspec(align(64)) VUINT32 poly_coeff2[8][2]; + __declspec(align(64)) VUINT32 poly_coeff1[8][2]; + __declspec(align(64)) VUINT32 L2[8][2]; + } __svml_dlog10_data_internal_avx512; +#endif +__svml_dlog10_data_internal_avx512: + /*== Log_tbl ==*/ + .quad 0x0000000000000000 + .quad 0xbf9af5f92b00e610 + .quad 0xbfaa30a9d609efea + .quad 0xbfb31b3055c47118 + .quad 0xbfb8cf183886480d + .quad 0xbfbe3bc1ab0e19fe + .quad 0xbfc1b3e71ec94f7b + .quad 0xbfc42c7e7fe3fc02 + .quad 0x3fbffbfc2bbc7803 + .quad 0x3fbb721cd17157e3 + .quad 0x3fb715d0ce367afc + .quad 0x3fb2e3a740b7800f + .quad 0x3fadb11ed766abf4 + .quad 0x3fa5e3966b7e9295 + .quad 0x3f9cb38fccd8bfdb + .quad 0x3f8c3d0837784c41 + /*== One ==*/ + .align 64 + .quad 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000 + /*== 0.75 ==*/ + .align 64 + .quad 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000, 0x3fe8000000000000 + /*== poly_coeff9 ==*/ + .align 64 + .quad 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370, 0x3fa8c2d828480370 + /*== poly_coeff8 ==*/ + .align 64 + .quad 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814, 0xbfabd80d96029814 + /*== poly_coeff7 ==*/ + .align 64 + .quad 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2, 0x3fafc3f6f38b58a2 + /*== poly_coeff6 ==*/ + .align 64 + .quad 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80, 0xbfb287a63464dc80 + /*== poly_coeff5 ==*/ + .align 64 + .quad 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9, 0x3fb63c62777f27d9 + /*== poly_coeff4 ==*/ + .align 64 + .quad 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3, 0xbfbbcb7b153c06a3 + /*== poly_coeff3 ==*/ + .align 64 + .quad 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c, 0x3fc287a7636f428c + /*== poly_coeff2 ==*/ + .align 64 + .quad 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db, 0xbfcbcb7b1526e4db + /*== poly_coeff1 ==*/ + .align 64 + .quad 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e, 0x3fdbcb7b1526e50e + /*== L2 ==*/ + .align 64 + .quad 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff, 0x3fd34413509f79ff + .align 64 + .type __svml_dlog10_data_internal_avx512,@object + .size __svml_dlog10_data_internal_avx512,.-__svml_dlog10_data_internal_avx512 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core-avx2.S new file mode 100644 index 0000000000..e389e2eca1 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized log10f. + 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_log10f _ZGVeN16v_log10f_avx2_wrapper +#include "../svml_s_log10f16_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core.c new file mode 100644 index 0000000000..274fc7e0ff --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized log10f, 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_log10f +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN16v_log10f, __GI__ZGVeN16v_log10f, + __redirect__ZGVeN16v_log10f) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core_avx512.S new file mode 100644 index 0000000000..3dffd662ab --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f16_core_avx512.S @@ -0,0 +1,238 @@ +/* Function log10f 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_slog10_data_internal_avx512 + */ +#define One 0 +#define coeff4 64 +#define coeff3 128 +#define coeff2 192 +#define coeff1 256 +#define L2 320 + +#include <sysdep.h> + + .text + .section .text.exex512,"ax",@progbits +ENTRY(_ZGVeN16v_log10f_skx) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-64, %rsp + subq $192, %rsp + vgetmantps $11, {sae}, %zmm0, %zmm3 + vmovups __svml_slog10_data_internal_avx512(%rip), %zmm1 + vgetexpps {sae}, %zmm0, %zmm5 + vmovups L2+__svml_slog10_data_internal_avx512(%rip), %zmm10 + vpsrld $19, %zmm3, %zmm7 + vgetexpps {sae}, %zmm3, %zmm6 + vsubps {rn-sae}, %zmm1, %zmm3, %zmm11 + vpermps coeff4+__svml_slog10_data_internal_avx512(%rip), %zmm7, %zmm1 + vpermps coeff3+__svml_slog10_data_internal_avx512(%rip), %zmm7, %zmm2 + vsubps {rn-sae}, %zmm6, %zmm5, %zmm9 + vpermps coeff2+__svml_slog10_data_internal_avx512(%rip), %zmm7, %zmm4 + vpermps coeff1+__svml_slog10_data_internal_avx512(%rip), %zmm7, %zmm8 + +/* x<=0? */ + vfpclassps $94, %zmm0, %k0 + vfmadd213ps {rn-sae}, %zmm2, %zmm11, %zmm1 + vmulps {rn-sae}, %zmm10, %zmm9, %zmm12 + vfmadd213ps {rn-sae}, %zmm4, %zmm11, %zmm1 + kmovw %k0, %edx + vfmadd213ps {rn-sae}, %zmm8, %zmm11, %zmm1 + vfmadd213ps {rn-sae}, %zmm12, %zmm11, %zmm1 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm1 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + vmovaps %zmm1, %zmm0 + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %zmm0, 64(%rsp) + vmovups %zmm1, 128(%rsp) + # LOE rbx r12 r13 r14 r15 edx zmm1 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $16, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 128(%rsp), %zmm1 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 zmm1 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 64(%rsp,%r14,4), %xmm0 + call log10f@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movss %xmm0, 128(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN16v_log10f_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_slog10_data_internal_avx512_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 One[16][1]; + __declspec(align(64)) VUINT32 coeff4[16][1]; + __declspec(align(64)) VUINT32 coeff3[16][1]; + __declspec(align(64)) VUINT32 coeff2[16][1]; + __declspec(align(64)) VUINT32 coeff1[16][1]; + __declspec(align(64)) VUINT32 L2[16][1]; + } __svml_slog10_data_internal_avx512; +#endif +__svml_slog10_data_internal_avx512: + /*== One ==*/ + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + // c4 + .align 64 + .long 0xbdc9ae9b, 0xbda6fcf4 + .long 0xbd8bac76, 0xbd6bca30 + .long 0xbd48a99b, 0xbd2c0a9f + .long 0xbd1480db, 0xbd00faf2 + .long 0xbe823aa9, 0xbe656348 + .long 0xbe4afbb9, 0xbe346895 + .long 0xbe20ffff, 0xbe103a0b + .long 0xbe01a91c, 0xbde9e84e + // c3 + .align 64 + .long 0x3e13d888, 0x3e10a87c + .long 0x3e0b95c3, 0x3e057f0b + .long 0x3dfde038, 0x3df080d9 + .long 0x3de34c1e, 0x3dd68333 + .long 0x3dac6e8e, 0x3dd54a51 + .long 0x3df30f40, 0x3e04235d + .long 0x3e0b7033, 0x3e102c90 + .long 0x3e12ebad, 0x3e141ff8 + // c2 + .align 64 + .long 0xbe5e5a9b, 0xbe5e2677 + .long 0xbe5d83f5, 0xbe5c6016 + .long 0xbe5abd0b, 0xbe58a6fd + .long 0xbe562e02, 0xbe5362f8 + .long 0xbe68e27c, 0xbe646747 + .long 0xbe619a73, 0xbe5ff05a + .long 0xbe5f0570, 0xbe5e92d0 + .long 0xbe5e662b, 0xbe5e5c08 + // c1 + .align 64 + .long 0x3ede5bd8, 0x3ede5b45 + .long 0x3ede57d8, 0x3ede4eb1 + .long 0x3ede3d37, 0x3ede2166 + .long 0x3eddf9d9, 0x3eddc5bb + .long 0x3ede08ed, 0x3ede32e7 + .long 0x3ede4967, 0x3ede5490 + .long 0x3ede597f, 0x3ede5b50 + .long 0x3ede5bca, 0x3ede5bd9 + /*== L2 ==*/ + .align 64 + .long 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b + .align 64 + .type __svml_slog10_data_internal_avx512,@object + .size __svml_slog10_data_internal_avx512,.-__svml_slog10_data_internal_avx512 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core-sse2.S new file mode 100644 index 0000000000..bb1cdee37e --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized log10f, 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_log10f _ZGVbN4v_log10f_sse2 +#include "../svml_s_log10f4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core.c new file mode 100644 index 0000000000..67e9e71a76 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized log10f, 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_log10f +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN4v_log10f, __GI__ZGVbN4v_log10f, + __redirect__ZGVbN4v_log10f) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core_sse4.S new file mode 100644 index 0000000000..88b3535d5c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f4_core_sse4.S @@ -0,0 +1,243 @@ +/* Function log10f 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_slog10_data_internal + */ +#define MinNorm 0 +#define MaxNorm 16 +#define L2H 32 +#define L2L 48 +#define iBrkValue 64 +#define iOffExpoMask 80 +#define One 96 +#define sPoly 112 +#define L2 256 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_log10f_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + movaps %xmm0, %xmm1 + +/* reduction: compute r,n */ + movdqu iBrkValue+__svml_slog10_data_internal(%rip), %xmm2 + movaps %xmm0, %xmm4 + movdqu iOffExpoMask+__svml_slog10_data_internal(%rip), %xmm10 + psubd %xmm2, %xmm1 + pand %xmm1, %xmm10 + psrad $23, %xmm1 + paddd %xmm2, %xmm10 + movaps %xmm0, %xmm3 + movups sPoly+__svml_slog10_data_internal(%rip), %xmm5 + movups sPoly+32+__svml_slog10_data_internal(%rip), %xmm6 + movups sPoly+64+__svml_slog10_data_internal(%rip), %xmm7 + movups sPoly+96+__svml_slog10_data_internal(%rip), %xmm9 + cvtdq2ps %xmm1, %xmm12 + cmpltps MinNorm+__svml_slog10_data_internal(%rip), %xmm4 + cmpnleps MaxNorm+__svml_slog10_data_internal(%rip), %xmm3 + subps One+__svml_slog10_data_internal(%rip), %xmm10 + mulps %xmm10, %xmm5 + movaps %xmm10, %xmm8 + mulps %xmm10, %xmm6 + mulps %xmm10, %xmm8 + addps sPoly+16+__svml_slog10_data_internal(%rip), %xmm5 + mulps %xmm10, %xmm7 + addps sPoly+48+__svml_slog10_data_internal(%rip), %xmm6 + mulps %xmm10, %xmm9 + mulps %xmm8, %xmm5 + addps sPoly+80+__svml_slog10_data_internal(%rip), %xmm7 + addps sPoly+112+__svml_slog10_data_internal(%rip), %xmm9 + addps %xmm5, %xmm6 + mulps %xmm8, %xmm6 + orps %xmm3, %xmm4 + +/* combine and get argument value range mask */ + movmskps %xmm4, %edx + movups L2L+__svml_slog10_data_internal(%rip), %xmm1 + addps %xmm6, %xmm7 + mulps %xmm12, %xmm1 + mulps %xmm7, %xmm8 + movups L2H+__svml_slog10_data_internal(%rip), %xmm11 + addps %xmm8, %xmm9 + mulps %xmm11, %xmm12 + mulps %xmm10, %xmm9 + addps sPoly+128+__svml_slog10_data_internal(%rip), %xmm9 + mulps %xmm9, %xmm10 + addps %xmm10, %xmm1 + addps %xmm12, %xmm1 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm1 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movaps %xmm1, %xmm0 + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm0, 32(%rsp) + movups %xmm1, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 edx + + xorl %eax, %eax + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %eax, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %edx, %r13d + movq %r14, (%rsp) + cfi_offset(14, -80) + # LOE rbx rbp r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx rbp r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $4, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx rbp r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm1 + +/* Go to exit */ + jmp L(EXIT) + cfi_offset(12, -64) + cfi_offset(13, -72) + cfi_offset(14, -80) + # LOE rbx rbp r12 r13 r14 r15 xmm1 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call log10f@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movss %xmm0, 48(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN4v_log10f_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_slog10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(16)) VUINT32 MinNorm[4][1]; + __declspec(align(16)) VUINT32 MaxNorm[4][1]; + __declspec(align(16)) VUINT32 L2H[4][1]; + __declspec(align(16)) VUINT32 L2L[4][1]; + __declspec(align(16)) VUINT32 iBrkValue[4][1]; + __declspec(align(16)) VUINT32 iOffExpoMask[4][1]; + __declspec(align(16)) VUINT32 One[4][1]; + __declspec(align(16)) VUINT32 sPoly[9][4][1]; + __declspec(align(16)) VUINT32 L2[4][1]; +} __svml_slog10_data_internal; +#endif +__svml_slog10_data_internal: + /*== MinNorm ==*/ + .long 0x00800000, 0x00800000, 0x00800000, 0x00800000 + /*== MaxNorm ==*/ + .align 16 + .long 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff + /*== L2H ==*/ + .align 16 + .long 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100 + /*== L2L ==*/ + .align 16 + .long 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600 + /*== iBrkValue = SP 2/3 ==*/ + .align 16 + .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab + /*== iOffExpoMask = SP significand mask ==*/ + .align 16 + .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff + /*== sOne = SP 1.0 ==*/ + .align 16 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /*== spoly[9] ==*/ + .align 16 + .long 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4 /* coeff9 */ + .long 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073 /* coeff8 */ + .long 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317 /* coeff7 */ + .long 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27 /* coeff6 */ + .long 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96 /* coeff5 */ + .long 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20 /* coeff4 */ + .long 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5 /* coeff3 */ + .long 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5 /* coeff2 */ + .long 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9 /* coeff1 */ + /*== L2 ==*/ + .align 16 + .long 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b + .align 16 + .type __svml_slog10_data_internal,@object + .size __svml_slog10_data_internal,.-__svml_slog10_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core-sse.S new file mode 100644 index 0000000000..e3467e5c90 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized log10f, 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_log10f _ZGVdN8v_log10f_sse_wrapper +#include "../svml_s_log10f8_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core.c new file mode 100644 index 0000000000..bfd3ef6554 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized log10f, 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_log10f +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN8v_log10f, __GI__ZGVdN8v_log10f, + __redirect__ZGVdN8v_log10f) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core_avx2.S new file mode 100644 index 0000000000..58e26342e7 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_log10f8_core_avx2.S @@ -0,0 +1,243 @@ +/* Function log10f 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: + * + * Get short reciprocal approximation Rcp ~ 1/mantissa(x) + * R = Rcp*x - 1.0 + * log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R) + * log10(Rcp) is tabulated + * + * + */ + +/* Offsets for data table __svml_slog10_data_internal + */ +#define MinNorm 0 +#define MaxNorm 32 +#define L2H 64 +#define L2L 96 +#define iBrkValue 128 +#define iOffExpoMask 160 +#define One 192 +#define sPoly 224 +#define L2 512 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8v_log10f_avx2) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + subq $96, %rsp + +/* reduction: compute r,n */ + vmovups iBrkValue+__svml_slog10_data_internal(%rip), %ymm4 + vmovups sPoly+__svml_slog10_data_internal(%rip), %ymm15 + vmovups sPoly+64+__svml_slog10_data_internal(%rip), %ymm9 + vmovups sPoly+128+__svml_slog10_data_internal(%rip), %ymm10 + vmovups sPoly+192+__svml_slog10_data_internal(%rip), %ymm12 + vpsubd %ymm4, %ymm0, %ymm1 + vcmplt_oqps MinNorm+__svml_slog10_data_internal(%rip), %ymm0, %ymm5 + vcmpnle_uqps MaxNorm+__svml_slog10_data_internal(%rip), %ymm0, %ymm6 + vpand iOffExpoMask+__svml_slog10_data_internal(%rip), %ymm1, %ymm3 + vpsrad $23, %ymm1, %ymm2 + vpaddd %ymm4, %ymm3, %ymm8 + vcvtdq2ps %ymm2, %ymm1 + vsubps One+__svml_slog10_data_internal(%rip), %ymm8, %ymm13 + vmulps L2L+__svml_slog10_data_internal(%rip), %ymm1, %ymm14 + vfmadd213ps sPoly+32+__svml_slog10_data_internal(%rip), %ymm13, %ymm15 + vfmadd213ps sPoly+96+__svml_slog10_data_internal(%rip), %ymm13, %ymm9 + vmulps %ymm13, %ymm13, %ymm11 + vfmadd213ps sPoly+160+__svml_slog10_data_internal(%rip), %ymm13, %ymm10 + vfmadd213ps sPoly+224+__svml_slog10_data_internal(%rip), %ymm13, %ymm12 + vfmadd213ps %ymm9, %ymm11, %ymm15 + vfmadd213ps %ymm10, %ymm11, %ymm15 + vfmadd213ps %ymm12, %ymm11, %ymm15 + vfmadd213ps sPoly+256+__svml_slog10_data_internal(%rip), %ymm13, %ymm15 + vfmadd213ps %ymm14, %ymm13, %ymm15 + vorps %ymm6, %ymm5, %ymm7 + +/* combine and get argument value range mask */ + vmovmskps %ymm7, %edx + vfmadd132ps L2H+__svml_slog10_data_internal(%rip), %ymm15, %ymm1 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + vmovaps %ymm1, %ymm0 + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %ymm0, 32(%rsp) + vmovups %ymm1, 64(%rsp) + # LOE rbx r12 r13 r14 r15 edx ymm1 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $8, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 64(%rsp), %ymm1 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 ymm1 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call log10f@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movss %xmm0, 64(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVdN8v_log10f_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_slog10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(32)) VUINT32 MinNorm[8][1]; + __declspec(align(32)) VUINT32 MaxNorm[8][1]; + __declspec(align(32)) VUINT32 L2H[8][1]; + __declspec(align(32)) VUINT32 L2L[8][1]; + __declspec(align(32)) VUINT32 iBrkValue[8][1]; + __declspec(align(32)) VUINT32 iOffExpoMask[8][1]; + __declspec(align(32)) VUINT32 One[8][1]; + __declspec(align(32)) VUINT32 sPoly[9][8][1]; + __declspec(align(32)) VUINT32 L2[8][1]; +} __svml_slog10_data_internal; +#endif +__svml_slog10_data_internal: + /*== MinNorm ==*/ + .long 0x00800000, 0x00800000, 0x00800000, 0x00800000, 0x00800000, 0x00800000, 0x00800000, 0x00800000 + /*== MaxNorm ==*/ + .align 32 + .long 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff + /*== L2H ==*/ + .align 32 + .long 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100 + /*== L2L ==*/ + .align 32 + .long 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600 + /*== iBrkValue = SP 2/3 ==*/ + .align 32 + .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab + /*== iOffExpoMask = SP significand mask ==*/ + .align 32 + .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff + /*== sOne = SP 1.0 ==*/ + .align 32 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /*== spoly[9] ==*/ + .align 32 + .long 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4 /* coeff9 */ + .long 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073 /* coeff8 */ + .long 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317 /* coeff7 */ + .long 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27 /* coeff6 */ + .long 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96 /* coeff5 */ + .long 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20 /* coeff4 */ + .long 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5 /* coeff3 */ + .long 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5 /* coeff2 */ + .long 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9 /* coeff1 */ + /*== L2 ==*/ + .align 32 + .long 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b + .align 32 + .type __svml_slog10_data_internal,@object + .size __svml_slog10_data_internal,.-__svml_slog10_data_internal diff --git a/sysdeps/x86_64/fpu/svml_d_log102_core.S b/sysdeps/x86_64/fpu/svml_d_log102_core.S new file mode 100644 index 0000000000..3d0c058ac2 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_log102_core.S @@ -0,0 +1,29 @@ +/* Function log10 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_log10) +WRAPPER_IMPL_SSE2 log10 +END (_ZGVbN2v_log10) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN2v_log10) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_log104_core.S b/sysdeps/x86_64/fpu/svml_d_log104_core.S new file mode 100644 index 0000000000..9e32c62c0e --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_log104_core.S @@ -0,0 +1,29 @@ +/* Function log10 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_log10) +WRAPPER_IMPL_AVX _ZGVbN2v_log10 +END (_ZGVdN4v_log10) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN4v_log10) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_log104_core_avx.S b/sysdeps/x86_64/fpu/svml_d_log104_core_avx.S new file mode 100644 index 0000000000..2b073b16f9 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_log104_core_avx.S @@ -0,0 +1,25 @@ +/* Function log10 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_log10) +WRAPPER_IMPL_AVX _ZGVbN2v_log10 +END (_ZGVcN4v_log10) diff --git a/sysdeps/x86_64/fpu/svml_d_log108_core.S b/sysdeps/x86_64/fpu/svml_d_log108_core.S new file mode 100644 index 0000000000..853d791f2d --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_log108_core.S @@ -0,0 +1,25 @@ +/* Function log10 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_log10) +WRAPPER_IMPL_AVX512 _ZGVdN4v_log10 +END (_ZGVeN8v_log10) diff --git a/sysdeps/x86_64/fpu/svml_s_log10f16_core.S b/sysdeps/x86_64/fpu/svml_s_log10f16_core.S new file mode 100644 index 0000000000..769603c92d --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_log10f16_core.S @@ -0,0 +1,25 @@ +/* Function log10f 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_log10f) +WRAPPER_IMPL_AVX512 _ZGVdN8v_log10f +END (_ZGVeN16v_log10f) diff --git a/sysdeps/x86_64/fpu/svml_s_log10f4_core.S b/sysdeps/x86_64/fpu/svml_s_log10f4_core.S new file mode 100644 index 0000000000..523525409b --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_log10f4_core.S @@ -0,0 +1,29 @@ +/* Function log10f 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_log10f) +WRAPPER_IMPL_SSE2 log10f +END (_ZGVbN4v_log10f) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN4v_log10f) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_log10f8_core.S b/sysdeps/x86_64/fpu/svml_s_log10f8_core.S new file mode 100644 index 0000000000..630ec76b7f --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_log10f8_core.S @@ -0,0 +1,29 @@ +/* Function log10f 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_log10f) +WRAPPER_IMPL_AVX _ZGVbN4v_log10f +END (_ZGVdN8v_log10f) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN8v_log10f) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_log10f8_core_avx.S b/sysdeps/x86_64/fpu/svml_s_log10f8_core_avx.S new file mode 100644 index 0000000000..374208cb2c --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_log10f8_core_avx.S @@ -0,0 +1,25 @@ +/* Function log10f 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_log10f) +WRAPPER_IMPL_AVX _ZGVbN4v_log10f +END (_ZGVcN8v_log10f) diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx.c b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx.c new file mode 100644 index 0000000000..770fd725e0 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx.c @@ -0,0 +1 @@ +#include "test-double-libmvec-log10.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx2.c b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx2.c new file mode 100644 index 0000000000..770fd725e0 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx2.c @@ -0,0 +1 @@ +#include "test-double-libmvec-log10.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx512f.c b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx512f.c new file mode 100644 index 0000000000..770fd725e0 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-log10-avx512f.c @@ -0,0 +1 @@ +#include "test-double-libmvec-log10.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-log10.c b/sysdeps/x86_64/fpu/test-double-libmvec-log10.c new file mode 100644 index 0000000000..cb1ab36819 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-log10.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE double +#define LIBMVEC_FUNC log10 +#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 37a7a1c777..3dce136dfc 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVbN2v_expm1) VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVbN2v_sinh) VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVbN2v_cbrt) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVbN2vv_atan2) +VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVbN2v_log10) #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 4313f67e06..1852625897 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c @@ -41,6 +41,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVdN4v_expm1) VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVdN4v_sinh) VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVdN4v_cbrt) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVdN4vv_atan2) +VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVdN4v_log10) #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 4b8b00f16d..cf9ea35ffe 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVcN4v_expm1) VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVcN4v_sinh) VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVcN4v_cbrt) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVcN4vv_atan2) +VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVcN4v_log10) #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 d06522a407..b6457ea032 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1), _ZGVeN8v_expm1) VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVeN8v_sinh) VECTOR_WRAPPER (WRAPPER_NAME (cbrt), _ZGVeN8v_cbrt) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2), _ZGVeN8vv_atan2) +VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVeN8v_log10) #ifndef __ILP32__ # define VEC_INT_TYPE __m512i diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx.c b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx.c new file mode 100644 index 0000000000..04f017f1e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx.c @@ -0,0 +1 @@ +#include "test-float-libmvec-log10f.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx2.c b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx2.c new file mode 100644 index 0000000000..04f017f1e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx2.c @@ -0,0 +1 @@ +#include "test-float-libmvec-log10f.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx512f.c b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx512f.c new file mode 100644 index 0000000000..04f017f1e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-log10f-avx512f.c @@ -0,0 +1 @@ +#include "test-float-libmvec-log10f.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-log10f.c b/sysdeps/x86_64/fpu/test-float-libmvec-log10f.c new file mode 100644 index 0000000000..682ce1e239 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-log10f.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE float +#define LIBMVEC_FUNC log10f +#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 0bd631bf9a..272e754e1b 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVeN16v_expm1f) VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVeN16v_sinhf) VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVeN16v_cbrtf) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVeN16vv_atan2f) +VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVeN16v_log10f) #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 1018398bd3..b892258b99 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVbN4v_expm1f) VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVbN4v_sinhf) VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVbN4v_cbrtf) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVbN4vv_atan2f) +VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVbN4v_log10f) #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 42ea28f30f..1c6ead71e1 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c @@ -41,6 +41,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVdN8v_expm1f) VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVdN8v_sinhf) VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVdN8v_cbrtf) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVdN8vv_atan2f) +VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVdN8v_log10f) /* 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 70a0216a07..71f5d8d7b6 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c @@ -38,6 +38,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (expm1f), _ZGVcN8v_expm1f) VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVcN8v_sinhf) VECTOR_WRAPPER (WRAPPER_NAME (cbrtf), _ZGVcN8v_cbrtf) VECTOR_WRAPPER_ff (WRAPPER_NAME (atan2f), _ZGVcN8vv_atan2f) +VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVcN8v_log10f) #define VEC_INT_TYPE __m128i |