diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_exp10f4_core_sse4.S')
-rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_exp10f4_core_sse4.S | 311 |
1 files changed, 311 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f4_core_sse4.S new file mode 100644 index 0000000..879592b --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f4_core_sse4.S @@ -0,0 +1,311 @@ +/* Function exp10f 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 float + * if x > 38.5318412780761720 then exp10f(x) overflow + * if x < -45.4555282592773440 then exp10f(x) underflow + * + */ + +/* Offsets for data table __svml_sexp10_data_internal + */ +#define _sT 0 +#define _sLg2_10 128 +#define _sShifter 144 +#define _sInvLg2_10hi 160 +#define _sInvLg2_10lo 176 +#define _sPC0 192 +#define _sPC1 208 +#define _sPC2 224 +#define _iIndexMask 240 +#define _iAbsMask 256 +#define _iDomainRange 272 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_exp10f_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + movaps %xmm0, %xmm4 + +/* Load arument */ + movups _sLg2_10+__svml_sexp10_data_internal(%rip), %xmm2 + lea __svml_sexp10_data_internal(%rip), %r8 + mulps %xmm4, %xmm2 + movups _sShifter+__svml_sexp10_data_internal(%rip), %xmm5 + +/* R */ + movups _sInvLg2_10hi+__svml_sexp10_data_internal(%rip), %xmm14 + addps %xmm5, %xmm2 + movaps %xmm2, %xmm1 + movups _sInvLg2_10lo+__svml_sexp10_data_internal(%rip), %xmm15 + subps %xmm5, %xmm1 + mulps %xmm1, %xmm14 + movaps %xmm4, %xmm5 + mulps %xmm1, %xmm15 + subps %xmm14, %xmm5 + +/* + * Polynomial + * exp10 = 2^N*(Tj+Tj*poly) + * poly(sN) = {1+later} a0+a1*sR + */ + movups _sPC2+__svml_sexp10_data_internal(%rip), %xmm1 + subps %xmm15, %xmm5 + mulps %xmm5, %xmm1 + movdqu _iIndexMask+__svml_sexp10_data_internal(%rip), %xmm3 + +/* Index and lookup */ + movdqa %xmm3, %xmm10 + +/* remove index bits */ + pandn %xmm2, %xmm3 + pand %xmm2, %xmm10 + +/* 2^N */ + pslld $18, %xmm3 + +/* iIndex *= sizeof(S); */ + pslld $2, %xmm10 + addps _sPC1+__svml_sexp10_data_internal(%rip), %xmm1 + movd %xmm10, %edx + pshufd $1, %xmm10, %xmm7 + pshufd $2, %xmm10, %xmm9 + pshufd $3, %xmm10, %xmm11 + movd %xmm7, %ecx + movd %xmm9, %esi + movd %xmm11, %edi + +/* Check for overflow\underflow */ + movdqu _iAbsMask+__svml_sexp10_data_internal(%rip), %xmm6 + pand %xmm4, %xmm6 + mulps %xmm1, %xmm5 + movslq %edx, %rdx + addps _sPC0+__svml_sexp10_data_internal(%rip), %xmm5 + movslq %ecx, %rcx + movslq %esi, %rsi + movslq %edi, %rdi + movd (%r8,%rdx), %xmm0 + movd (%r8,%rcx), %xmm8 + movd (%r8,%rsi), %xmm13 + movd (%r8,%rdi), %xmm12 + punpckldq %xmm8, %xmm0 + punpckldq %xmm12, %xmm13 + punpcklqdq %xmm13, %xmm0 + +/* Tj_l+Tj_h*poly */ + mulps %xmm0, %xmm5 + pcmpgtd _iDomainRange+__svml_sexp10_data_internal(%rip), %xmm6 + addps %xmm5, %xmm0 + movmskps %xmm6, %eax + +/* quick mul 2^N */ + paddd %xmm3, %xmm0 + +/* Finish */ + testl %eax, %eax + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm4 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm4, 32(%rsp) + movups %xmm0, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 eax + + xorl %edx, %edx + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %edx, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %eax, %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), %xmm0 + +/* 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 xmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call exp10f@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_exp10f_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_sexp10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _sT[(1<<5)][1]; + __declspec(align(16)) VUINT32 _sLg2_10[4][1]; + __declspec(align(16)) VUINT32 _sShifter[4][1]; + __declspec(align(16)) VUINT32 _sInvLg2_10hi[4][1]; + __declspec(align(16)) VUINT32 _sInvLg2_10lo[4][1]; + __declspec(align(16)) VUINT32 _sPC0[4][1]; + __declspec(align(16)) VUINT32 _sPC1[4][1]; + __declspec(align(16)) VUINT32 _sPC2[4][1]; + __declspec(align(16)) VUINT32 _iIndexMask[4][1]; + __declspec(align(16)) VUINT32 _iAbsMask[4][1]; + __declspec(align(16)) VUINT32 _iDomainRange[4][1]; +} __svml_sexp10_data_internal; +#endif +__svml_sexp10_data_internal: + /*== _sT ==*/ + .long 0x3f800000 // 2^( 0 /32 ) + .long 0x3f82cd87 // 2^( 1 /32 ) + .long 0x3f85aac3 // 2^( 2 /32 ) + .long 0x3f88980f // 2^( 3 /32 ) + .long 0x3f8b95c2 // 2^( 4 /32 ) + .long 0x3f8ea43a // 2^( 5 /32 ) + .long 0x3f91c3d3 // 2^( 6 /32 ) + .long 0x3f94f4f0 // 2^( 7 /32 ) + .long 0x3f9837f0 // 2^( 8 /32 ) + .long 0x3f9b8d3a // 2^( 9 /32 ) + .long 0x3f9ef532 // 2^( 10/32 ) + .long 0x3fa27043 // 2^( 11/32 ) + .long 0x3fa5fed7 // 2^( 12/32 ) + .long 0x3fa9a15b // 2^( 13/32 ) + .long 0x3fad583f // 2^( 14/32 ) + .long 0x3fb123f6 // 2^( 15/32 ) + .long 0x3fb504f3 // 2^( 16/32 ) + .long 0x3fb8fbaf // 2^( 17/32 ) + .long 0x3fbd08a4 // 2^( 18/32 ) + .long 0x3fc12c4d // 2^( 19/32 ) + .long 0x3fc5672a // 2^( 20/32 ) + .long 0x3fc9b9be // 2^( 21/32 ) + .long 0x3fce248c // 2^( 22/32 ) + .long 0x3fd2a81e // 2^( 23/32 ) + .long 0x3fd744fd // 2^( 24/32 ) + .long 0x3fdbfbb8 // 2^( 25/32 ) + .long 0x3fe0ccdf // 2^( 26/32 ) + .long 0x3fe5b907 // 2^( 27/32 ) + .long 0x3feac0c7 // 2^( 28/32 ) + .long 0x3fefe4ba // 2^( 29/32 ) + .long 0x3ff5257d // 2^( 30/32 ) + .long 0x3ffa83b3 // 2^( 31/32 ) + .align 16 + .long 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78 /* _sLg2_10*2^K */ + .align 16 + .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter) */ + .align 16 + .long 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000 /* _sInvLg2_10hi/2^K hi (24-K-7) bits*/ + .align 16 + .long 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc /* _sInvLg2_10lo/2^K lo bits */ + // otherwise exp10(0) won't produce exact 1.0 + .align 16 + .long 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868 /* _sPC0 */ + .align 16 + .long 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b /* _sPC1 */ + .align 16 + .long 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2 /* _sPC2 */ + .align 16 + .long 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f /* _iIndexMask =(2^K-1)*/ + //common + .align 16 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */ + .align 16 + .long 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818 /* _iDomainRange=-log10(max_denormal=0x007fffff) RZ */ + .align 16 + .type __svml_sexp10_data_internal,@object + .size __svml_sexp10_data_internal,.-__svml_sexp10_data_internal |