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author | Sunil K Pandey <skpgkp2@gmail.com> | 2021-12-29 08:47:16 -0800 |
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committer | Sunil K Pandey <skpgkp2@gmail.com> | 2021-12-29 11:37:35 -0800 |
commit | 8b726453d560eef536c9ff730f5f5be05b4ad6a7 (patch) | |
tree | e0c268c135f5970bf6c6d20022cae4dfdaa72e4d /sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S | |
parent | 3fc9ccc20b6d0d5e4517d2e766f14ce780a228a5 (diff) | |
download | glibc-8b726453d560eef536c9ff730f5f5be05b4ad6a7.tar.gz glibc-8b726453d560eef536c9ff730f5f5be05b4ad6a7.tar.xz glibc-8b726453d560eef536c9ff730f5f5be05b4ad6a7.zip |
x86-64: Add vector exp10/exp10f implementation to libmvec
Implement vectorized exp10/exp10f containing SSE, AVX, AVX2 and AVX512 versions for libmvec as per vector ABI. It also contains accuracy and ABI tests for vector exp10/exp10f with regenerated ulps. Reviewed-by: H.J. Lu <hjl.tools@gmail.com>
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S')
-rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S | 418 |
1 files changed, 418 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S new file mode 100644 index 0000000000..7c6e5de3e0 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_exp102_core_sse4.S @@ -0,0 +1,418 @@ +/* Function exp10 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: + * + * exp10(x) = 2^x/log10(2) = 2^n * (1 + T[j]) * (1 + P(y)) + * where + * x = m*log10(2)/K + y, y in [-log10(2)/K..log10(2)/K] + * m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2] + * + * values of 2^j/K are tabulated + * + * P(y) is a minimax polynomial approximation of exp10(x)-1 + * on small interval [-log10(2)/K..log10(2)/K] + * + * Special cases: + * + * exp10(NaN) = NaN + * exp10(+INF) = +INF + * exp10(-INF) = 0 + * exp10(x) = 1 for subnormals + * For IEEE double + * if x > 3.39782712893383973096e+02 then exp10(x) overflow + * if x < -3.45133219101941108420e+02 then exp10(x) underflow + * + */ + +/* Offsets for data table __svml_dexp10_data_internal + */ +#define _dbT 0 +#define _dbLg2_10 1024 +#define _dbShifter 1040 +#define _dbInvLg2_10hi 1056 +#define _dbInvLg2_10lo 1072 +#define _dPC1 1088 +#define _dPC2 1104 +#define _dPC3 1120 +#define _dPC4 1136 +#define _dPC5 1152 +#define _lExpMask 1168 +#define _iIndexMask 1184 +#define _iAbsMask 1200 +#define _iDomainRange 1216 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN2v_exp10_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + +/* R */ + movaps %xmm0, %xmm12 + +/* Load arument */ + movups _dbLg2_10+__svml_dexp10_data_internal(%rip), %xmm13 + lea __svml_dexp10_data_internal(%rip), %rsi + mulpd %xmm0, %xmm13 + movups _dbShifter+__svml_dexp10_data_internal(%rip), %xmm1 + addpd %xmm1, %xmm13 + movaps %xmm13, %xmm9 + subpd %xmm1, %xmm9 + movups _dbInvLg2_10hi+__svml_dexp10_data_internal(%rip), %xmm8 + mulpd %xmm9, %xmm8 + movups _dbInvLg2_10lo+__svml_dexp10_data_internal(%rip), %xmm10 + mulpd %xmm9, %xmm10 + subpd %xmm8, %xmm12 + subpd %xmm10, %xmm12 + +/* + * Polynomial + * poly(dN) = a1*dR+...+a5*dR^5 + */ + movups _dPC5+__svml_dexp10_data_internal(%rip), %xmm11 + mulpd %xmm12, %xmm11 + addpd _dPC4+__svml_dexp10_data_internal(%rip), %xmm11 + mulpd %xmm12, %xmm11 + addpd _dPC3+__svml_dexp10_data_internal(%rip), %xmm11 + mulpd %xmm12, %xmm11 + addpd _dPC2+__svml_dexp10_data_internal(%rip), %xmm11 + +/* a1+...+a5*dR^4 ! */ + mulpd %xmm12, %xmm11 + addpd _dPC1+__svml_dexp10_data_internal(%rip), %xmm11 + movq _iIndexMask+__svml_dexp10_data_internal(%rip), %xmm5 + +/* Index and lookup */ + pshufd $136, %xmm13, %xmm6 + +/* 2^N */ + psllq $45, %xmm13 + pand %xmm5, %xmm6 + +/* iIndex*=sizeof(D); */ + pslld $3, %xmm6 + movd %xmm6, %eax + pshufd $1, %xmm6, %xmm7 + movq _iAbsMask+__svml_dexp10_data_internal(%rip), %xmm2 + +/* a1*dR+...+a5*dR^5 */ + mulpd %xmm11, %xmm12 + movd %xmm7, %ecx + +/* Check for overflow\underflow */ + pshufd $221, %xmm0, %xmm4 + movq _iDomainRange+__svml_dexp10_data_internal(%rip), %xmm3 + pand %xmm2, %xmm4 + movslq %eax, %rax + pcmpgtd %xmm3, %xmm4 + movslq %ecx, %rcx + movmskps %xmm4, %edx + +/* lM==EXP(2^N) */ + pand _lExpMask+__svml_dexp10_data_internal(%rip), %xmm13 + movsd (%rsi,%rax), %xmm1 + movhpd (%rsi,%rcx), %xmm1 + +/* Tj*poly */ + mulpd %xmm1, %xmm12 + addpd %xmm12, %xmm1 + +/* quick 2^N */ + paddq %xmm13, %xmm1 + andl $3, %edx + +/* Finish */ + +/* 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 xmm1 + + 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 $2, %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 + movsd 32(%rsp,%r14,8), %xmm0 + call exp10@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movsd %xmm0, 48(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN2v_exp10_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_dexp10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _dbT[(1<<7)][2]; + __declspec(align(16)) VUINT32 _dbLg2_10[2][2]; + __declspec(align(16)) VUINT32 _dbShifter[2][2]; + __declspec(align(16)) VUINT32 _dbInvLg2_10hi[2][2]; + __declspec(align(16)) VUINT32 _dbInvLg2_10lo[2][2]; + __declspec(align(16)) VUINT32 _dPC1[2][2]; + __declspec(align(16)) VUINT32 _dPC2[2][2]; + __declspec(align(16)) VUINT32 _dPC3[2][2]; + __declspec(align(16)) VUINT32 _dPC4[2][2]; + __declspec(align(16)) VUINT32 _dPC5[2][2]; + __declspec(align(16)) VUINT32 _lExpMask[2][2]; + __declspec(align(16)) VUINT32 _iIndexMask[4][1]; + __declspec(align(16)) VUINT32 _iAbsMask[4][1]; + __declspec(align(16)) VUINT32 _iDomainRange[4][1]; +} __svml_dexp10_data_internal; +#endif +__svml_dexp10_data_internal: + /*== _dbT ==*/ + .quad 0x3ff0000000000000 /*2^( 0 /128)*/ + .quad 0x3ff0163da9fb3335 /*2^( 1 /128)*/ + .quad 0x3ff02c9a3e778061 /*2^( 2 /128)*/ + .quad 0x3ff04315e86e7f85 /*2^( 3 /128)*/ + .quad 0x3ff059b0d3158574 /*2^( 4 /128)*/ + .quad 0x3ff0706b29ddf6de /*2^( 5 /128)*/ + .quad 0x3ff0874518759bc8 /*2^( 6 /128)*/ + .quad 0x3ff09e3ecac6f383 /*2^( 7 /128)*/ + .quad 0x3ff0b5586cf9890f /*2^( 8 /128)*/ + .quad 0x3ff0cc922b7247f7 /*2^( 9 /128)*/ + .quad 0x3ff0e3ec32d3d1a2 /*2^( 10 /128)*/ + .quad 0x3ff0fb66affed31b /*2^( 11 /128)*/ + .quad 0x3ff11301d0125b51 /*2^( 12 /128)*/ + .quad 0x3ff12abdc06c31cc /*2^( 13 /128)*/ + .quad 0x3ff1429aaea92de0 /*2^( 14 /128)*/ + .quad 0x3ff15a98c8a58e51 /*2^( 15 /128)*/ + .quad 0x3ff172b83c7d517b /*2^( 16 /128)*/ + .quad 0x3ff18af9388c8dea /*2^( 17 /128)*/ + .quad 0x3ff1a35beb6fcb75 /*2^( 18 /128)*/ + .quad 0x3ff1bbe084045cd4 /*2^( 19 /128)*/ + .quad 0x3ff1d4873168b9aa /*2^( 20 /128)*/ + .quad 0x3ff1ed5022fcd91d /*2^( 21 /128)*/ + .quad 0x3ff2063b88628cd6 /*2^( 22 /128)*/ + .quad 0x3ff21f49917ddc96 /*2^( 23 /128)*/ + .quad 0x3ff2387a6e756238 /*2^( 24 /128)*/ + .quad 0x3ff251ce4fb2a63f /*2^( 25 /128)*/ + .quad 0x3ff26b4565e27cdd /*2^( 26 /128)*/ + .quad 0x3ff284dfe1f56381 /*2^( 27 /128)*/ + .quad 0x3ff29e9df51fdee1 /*2^( 28 /128)*/ + .quad 0x3ff2b87fd0dad990 /*2^( 29 /128)*/ + .quad 0x3ff2d285a6e4030b /*2^( 30 /128)*/ + .quad 0x3ff2ecafa93e2f56 /*2^( 31 /128)*/ + .quad 0x3ff306fe0a31b715 /*2^( 32 /128)*/ + .quad 0x3ff32170fc4cd831 /*2^( 33 /128)*/ + .quad 0x3ff33c08b26416ff /*2^( 34 /128)*/ + .quad 0x3ff356c55f929ff1 /*2^( 35 /128)*/ + .quad 0x3ff371a7373aa9cb /*2^( 36 /128)*/ + .quad 0x3ff38cae6d05d866 /*2^( 37 /128)*/ + .quad 0x3ff3a7db34e59ff7 /*2^( 38 /128)*/ + .quad 0x3ff3c32dc313a8e5 /*2^( 39 /128)*/ + .quad 0x3ff3dea64c123422 /*2^( 40 /128)*/ + .quad 0x3ff3fa4504ac801c /*2^( 41 /128)*/ + .quad 0x3ff4160a21f72e2a /*2^( 42 /128)*/ + .quad 0x3ff431f5d950a897 /*2^( 43 /128)*/ + .quad 0x3ff44e086061892d /*2^( 44 /128)*/ + .quad 0x3ff46a41ed1d0057 /*2^( 45 /128)*/ + .quad 0x3ff486a2b5c13cd0 /*2^( 46 /128)*/ + .quad 0x3ff4a32af0d7d3de /*2^( 47 /128)*/ + .quad 0x3ff4bfdad5362a27 /*2^( 48 /128)*/ + .quad 0x3ff4dcb299fddd0d /*2^( 49 /128)*/ + .quad 0x3ff4f9b2769d2ca7 /*2^( 50 /128)*/ + .quad 0x3ff516daa2cf6642 /*2^( 51 /128)*/ + .quad 0x3ff5342b569d4f82 /*2^( 52 /128)*/ + .quad 0x3ff551a4ca5d920f /*2^( 53 /128)*/ + .quad 0x3ff56f4736b527da /*2^( 54 /128)*/ + .quad 0x3ff58d12d497c7fd /*2^( 55 /128)*/ + .quad 0x3ff5ab07dd485429 /*2^( 56 /128)*/ + .quad 0x3ff5c9268a5946b7 /*2^( 57 /128)*/ + .quad 0x3ff5e76f15ad2148 /*2^( 58 /128)*/ + .quad 0x3ff605e1b976dc09 /*2^( 59 /128)*/ + .quad 0x3ff6247eb03a5585 /*2^( 60 /128)*/ + .quad 0x3ff6434634ccc320 /*2^( 61 /128)*/ + .quad 0x3ff6623882552225 /*2^( 62 /128)*/ + .quad 0x3ff68155d44ca973 /*2^( 63 /128)*/ + .quad 0x3ff6a09e667f3bcd /*2^( 64 /128)*/ + .quad 0x3ff6c012750bdabf /*2^( 65 /128)*/ + .quad 0x3ff6dfb23c651a2f /*2^( 66 /128)*/ + .quad 0x3ff6ff7df9519484 /*2^( 67 /128)*/ + .quad 0x3ff71f75e8ec5f74 /*2^( 68 /128)*/ + .quad 0x3ff73f9a48a58174 /*2^( 69 /128)*/ + .quad 0x3ff75feb564267c9 /*2^( 70 /128)*/ + .quad 0x3ff780694fde5d3f /*2^( 71 /128)*/ + .quad 0x3ff7a11473eb0187 /*2^( 72 /128)*/ + .quad 0x3ff7c1ed0130c132 /*2^( 73 /128)*/ + .quad 0x3ff7e2f336cf4e62 /*2^( 74 /128)*/ + .quad 0x3ff80427543e1a12 /*2^( 75 /128)*/ + .quad 0x3ff82589994cce13 /*2^( 76 /128)*/ + .quad 0x3ff8471a4623c7ad /*2^( 77 /128)*/ + .quad 0x3ff868d99b4492ed /*2^( 78 /128)*/ + .quad 0x3ff88ac7d98a6699 /*2^( 79 /128)*/ + .quad 0x3ff8ace5422aa0db /*2^( 80 /128)*/ + .quad 0x3ff8cf3216b5448c /*2^( 81 /128)*/ + .quad 0x3ff8f1ae99157736 /*2^( 82 /128)*/ + .quad 0x3ff9145b0b91ffc6 /*2^( 83 /128)*/ + .quad 0x3ff93737b0cdc5e5 /*2^( 84 /128)*/ + .quad 0x3ff95a44cbc8520f /*2^( 85 /128)*/ + .quad 0x3ff97d829fde4e50 /*2^( 86 /128)*/ + .quad 0x3ff9a0f170ca07ba /*2^( 87 /128)*/ + .quad 0x3ff9c49182a3f090 /*2^( 88 /128)*/ + .quad 0x3ff9e86319e32323 /*2^( 89 /128)*/ + .quad 0x3ffa0c667b5de565 /*2^( 90 /128)*/ + .quad 0x3ffa309bec4a2d33 /*2^( 91 /128)*/ + .quad 0x3ffa5503b23e255d /*2^( 92 /128)*/ + .quad 0x3ffa799e1330b358 /*2^( 93 /128)*/ + .quad 0x3ffa9e6b5579fdbf /*2^( 94 /128)*/ + .quad 0x3ffac36bbfd3f37a /*2^( 95 /128)*/ + .quad 0x3ffae89f995ad3ad /*2^( 96 /128)*/ + .quad 0x3ffb0e07298db666 /*2^( 97 /128)*/ + .quad 0x3ffb33a2b84f15fb /*2^( 98 /128)*/ + .quad 0x3ffb59728de5593a /*2^( 99 /128)*/ + .quad 0x3ffb7f76f2fb5e47 /*2^( 100 /128)*/ + .quad 0x3ffba5b030a1064a /*2^( 101 /128)*/ + .quad 0x3ffbcc1e904bc1d2 /*2^( 102 /128)*/ + .quad 0x3ffbf2c25bd71e09 /*2^( 103 /128)*/ + .quad 0x3ffc199bdd85529c /*2^( 104 /128)*/ + .quad 0x3ffc40ab5fffd07a /*2^( 105 /128)*/ + .quad 0x3ffc67f12e57d14b /*2^( 106 /128)*/ + .quad 0x3ffc8f6d9406e7b5 /*2^( 107 /128)*/ + .quad 0x3ffcb720dcef9069 /*2^( 108 /128)*/ + .quad 0x3ffcdf0b555dc3fa /*2^( 109 /128)*/ + .quad 0x3ffd072d4a07897c /*2^( 110 /128)*/ + .quad 0x3ffd2f87080d89f2 /*2^( 111 /128)*/ + .quad 0x3ffd5818dcfba487 /*2^( 112 /128)*/ + .quad 0x3ffd80e316c98398 /*2^( 113 /128)*/ + .quad 0x3ffda9e603db3285 /*2^( 114 /128)*/ + .quad 0x3ffdd321f301b460 /*2^( 115 /128)*/ + .quad 0x3ffdfc97337b9b5f /*2^( 116 /128)*/ + .quad 0x3ffe264614f5a129 /*2^( 117 /128)*/ + .quad 0x3ffe502ee78b3ff6 /*2^( 118 /128)*/ + .quad 0x3ffe7a51fbc74c83 /*2^( 119 /128)*/ + .quad 0x3ffea4afa2a490da /*2^( 120 /128)*/ + .quad 0x3ffecf482d8e67f1 /*2^( 121 /128)*/ + .quad 0x3ffefa1bee615a27 /*2^( 122 /128)*/ + .quad 0x3fff252b376bba97 /*2^( 123 /128)*/ + .quad 0x3fff50765b6e4540 /*2^( 124 /128)*/ + .quad 0x3fff7bfdad9cbe14 /*2^( 125 /128)*/ + .quad 0x3fffa7c1819e90d8 /*2^( 126 /128)*/ + .quad 0x3fffd3c22b8f71f1 /*2^( 127 /128)*/ + .align 16 + .quad 0x407a934f0979a371, 0x407a934f0979a371 /* _dbLg2_10*2^K */ + .align 16 + .quad 0x4338800000000000, 0x4338800000000000 /* _dbShifter */ + .align 16 + .quad 0x3f63441350a00000, 0x3f63441350a00000 /* _dbInvLg2_10hi/2^K 53-11-K bits*/ + .align 16 + .quad 0xbd10c0219dc1da99, 0xbd10c0219dc1da99 /* _dbInvLg2_10lo/2^K */ + //PC0 = 1.0 + .align 16 + .quad 0x40026bb1bbb55516, 0x40026bb1bbb55516 /* _dPC1 */ + .align 16 + .quad 0x40053524c73ce8e3, 0x40053524c73ce8e3 /* _dPC2 */ + .align 16 + .quad 0x4000470591ccea8b, 0x4000470591ccea8b /* _dPC3 */ + .align 16 + .quad 0x3ff2bd767584db59, 0x3ff2bd767584db59 /* _dPC4 */ + .align 16 + .quad 0x3fe144c03efafb54, 0x3fe144c03efafb54 /* _dPC5 */ + .align 16 + .quad 0xfff0000000000000, 0xfff0000000000000 /* _lExpMask */ + .align 16 + .long 0x0000007f, 0x0000007f, 0x0000007f, 0x0000007f /* _iIndexMask =(2^K-1)*/ + //common + .align 16 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */ + .align 16 + .long 0x40733a70, 0x40733a70, 0x40733a70, 0x40733a70 /* _iDomainRange */ + .align 16 + .type __svml_dexp10_data_internal,@object + .size __svml_dexp10_data_internal,.-__svml_dexp10_data_internal |