diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_exp10f8_core_avx2.S')
-rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_exp10f8_core_avx2.S | 331 |
1 files changed, 331 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f8_core_avx2.S new file mode 100644 index 0000000..b576412 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f8_core_avx2.S @@ -0,0 +1,331 @@ +/* Function exp10f 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: + * + * 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 160 +#define _sInvLg2_10hi 192 +#define _sInvLg2_10lo 224 +#define _sPC0 256 +#define _sPC1 288 +#define _sPC2 320 +#define _iIndexMask 352 +#define _iAbsMask 384 +#define _iDomainRange 416 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8v_exp10f_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 __svml_sexp10_data_internal(%rip), %rax + vmovups _sShifter+__svml_sexp10_data_internal(%rip), %ymm4 + +/* Load arument */ + vmovups _sLg2_10+__svml_sexp10_data_internal(%rip), %ymm1 + vmovups _iIndexMask+__svml_sexp10_data_internal(%rip), %ymm2 + vmovaps %ymm0, %ymm3 + vfmadd213ps %ymm4, %ymm3, %ymm1 + +/* Index and lookup */ + vandps %ymm2, %ymm1, %ymm7 + +/* iIndex *= sizeof(S); */ + vpslld $2, %ymm7, %ymm10 + vsubps %ymm4, %ymm1, %ymm0 + +/* Check for overflow\underflow */ + vandps _iAbsMask+__svml_sexp10_data_internal(%rip), %ymm3, %ymm5 + vpcmpgtd _iDomainRange+__svml_sexp10_data_internal(%rip), %ymm5, %ymm6 + vmovmskps %ymm6, %edx + vmovd %xmm10, %ecx + vextractf128 $1, %ymm10, %xmm6 + vpextrd $1, %xmm10, %esi + vpextrd $2, %xmm10, %edi + vpextrd $3, %xmm10, %r8d + movslq %ecx, %rcx + movslq %esi, %rsi + movslq %edi, %rdi + movslq %r8d, %r8 + vmovd (%rax,%rcx), %xmm8 + vmovd (%rax,%rsi), %xmm9 + vmovd (%rax,%rdi), %xmm11 + vmovd (%rax,%r8), %xmm12 + vpunpckldq %xmm9, %xmm8, %xmm13 + vpunpckldq %xmm12, %xmm11, %xmm14 + vpunpcklqdq %xmm14, %xmm13, %xmm15 + +/* R */ + vmovups _sInvLg2_10hi+__svml_sexp10_data_internal(%rip), %ymm13 + vmovd %xmm6, %r9d + vfnmadd213ps %ymm3, %ymm0, %ymm13 + vpextrd $1, %xmm6, %r10d + movslq %r9d, %r9 + movslq %r10d, %r10 + vfnmadd132ps _sInvLg2_10lo+__svml_sexp10_data_internal(%rip), %ymm13, %ymm0 + vmovd (%rax,%r9), %xmm4 + vmovd (%rax,%r10), %xmm5 + vpunpckldq %xmm5, %xmm4, %xmm9 + +/* + * Polynomial + * exp10 = 2^N*(Tj+Tj*poly) + * poly(sN) = {1+later} a0+a1*sR + */ + vmovups _sPC2+__svml_sexp10_data_internal(%rip), %ymm4 + vfmadd213ps _sPC1+__svml_sexp10_data_internal(%rip), %ymm0, %ymm4 + vpextrd $2, %xmm6, %r11d + vpextrd $3, %xmm6, %ecx + movslq %r11d, %r11 + movslq %ecx, %rcx + vfmadd213ps _sPC0+__svml_sexp10_data_internal(%rip), %ymm0, %ymm4 + vmovd (%rax,%r11), %xmm7 + vmovd (%rax,%rcx), %xmm8 + vpunpckldq %xmm8, %xmm7, %xmm11 + +/* remove index bits */ + vpandn %ymm1, %ymm2, %ymm0 + vpunpcklqdq %xmm11, %xmm9, %xmm12 + +/* 2^N */ + vpslld $18, %ymm0, %ymm1 + vinsertf128 $1, %xmm12, %ymm15, %ymm14 + +/* Tj_l+Tj_h*poly */ + vfmadd213ps %ymm14, %ymm14, %ymm4 + +/* quick mul 2^N */ + vpaddd %ymm1, %ymm4, %ymm0 + +/* Finish */ + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx 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): + vmovups %ymm3, 32(%rsp) + vmovups %ymm0, 64(%rsp) + # LOE rbx r12 r13 r14 r15 edx ymm0 + + 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), %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 + movss 32(%rsp,%r14,4), %xmm0 + call exp10f@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_exp10f_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_sexp10_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(32)) VUINT32 _sT[(1<<5)][1]; + __declspec(align(32)) VUINT32 _sLg2_10[8][1]; + __declspec(align(32)) VUINT32 _sShifter[8][1]; + __declspec(align(32)) VUINT32 _sInvLg2_10hi[8][1]; + __declspec(align(32)) VUINT32 _sInvLg2_10lo[8][1]; + __declspec(align(32)) VUINT32 _sPC0[8][1]; + __declspec(align(32)) VUINT32 _sPC1[8][1]; + __declspec(align(32)) VUINT32 _sPC2[8][1]; + __declspec(align(32)) VUINT32 _iIndexMask[8][1]; + __declspec(align(32)) VUINT32 _iAbsMask[8][1]; + __declspec(align(32)) VUINT32 _iDomainRange[8][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 32 + .long 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78, 0x42d49a78 /* _sLg2_10*2^K */ + .align 32 + .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000 /* _sShifter) */ + .align 32 + .long 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000, 0x3c1a2000 /* _sInvLg2_10hi/2^K hi (24-K-7) bits*/ + .align 32 + .long 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc, 0x341a84fc /* _sInvLg2_10lo/2^K lo bits */ + // otherwise exp10(0) won't produce exact 1.0 + .align 32 + .long 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868, 0x2fecc868 /* _sPC0 */ + .align 32 + .long 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b, 0x40135e1b /* _sPC1 */ + .align 32 + .long 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2, 0x4029a8d2 /* _sPC2 */ + .align 32 + .long 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f, 0x0000001f /* _iIndexMask =(2^K-1)*/ + //common + .align 32 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _iAbsMask */ + .align 32 + .long 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818, 0x4217b818 /* _iDomainRange=-log10(max_denormal=0x007fffff) RZ */ + .align 32 + .type __svml_sexp10_data_internal,@object + .size __svml_sexp10_data_internal,.-__svml_sexp10_data_internal |