diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_exp10f16_core_avx512.S')
-rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_exp10f16_core_avx512.S | 269 |
1 files changed, 269 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f16_core_avx512.S new file mode 100644 index 0000000..fc9309c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_exp10f16_core_avx512.S @@ -0,0 +1,269 @@ +/* Function exp10f 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: + * Typical exp10() implementation, except that: + * - tables are small (16 elements), allowing for fast gathers + * - all arguments processed in the main path + * - final VSCALEF assists branch-free design (correct overflow/underflow and special case responses) + * - a VAND is used to ensure the reduced argument |R|<2, even for large inputs + * - RZ mode used to avoid oveflow to +/-Inf for x*log2(e); helps with special case handling + * - SAE used to avoid spurious flag settings + * + */ + +/* Offsets for data table __svml_sexp10_data_internal_avx512 + */ +#define Exp_tbl_L 0 +#define Exp_tbl_H 128 +#define L2E 256 +#define Shifter 320 +#define L2H 384 +#define L2L 448 +#define EMask 512 +#define AbsMask 576 +#define Threshold 640 +#define poly_coeff2 704 +#define poly_coeff1 768 + +#include <sysdep.h> + + .text + .section .text.exex512,"ax",@progbits +ENTRY(_ZGVeN16v_exp10f_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 + vmovups L2E+__svml_sexp10_data_internal_avx512(%rip), %zmm2 + vmovups Shifter+__svml_sexp10_data_internal_avx512(%rip), %zmm1 + vmovups L2H+__svml_sexp10_data_internal_avx512(%rip), %zmm5 + vmovups L2L+__svml_sexp10_data_internal_avx512(%rip), %zmm4 + +/* ensure |R|<2 even for special cases */ + vmovups EMask+__svml_sexp10_data_internal_avx512(%rip), %zmm6 + vmovups poly_coeff2+__svml_sexp10_data_internal_avx512(%rip), %zmm9 + +/* 2^(52-4)*1.5 + x * log2(e) */ + vfmadd213ps {rz-sae}, %zmm1, %zmm0, %zmm2 + vmovups poly_coeff1+__svml_sexp10_data_internal_avx512(%rip), %zmm10 + vmovups __svml_sexp10_data_internal_avx512(%rip), %zmm8 + vmovups Exp_tbl_H+__svml_sexp10_data_internal_avx512(%rip), %zmm15 + vmovups Threshold+__svml_sexp10_data_internal_avx512(%rip), %zmm13 + vpsrld $5, %zmm2, %zmm3 + +/* Z0 ~ x*log2(e), rounded down to 6 fractional bits */ + vsubps {rn-sae}, %zmm1, %zmm2, %zmm1 + vpermt2ps Exp_tbl_L+64+__svml_sexp10_data_internal_avx512(%rip), %zmm2, %zmm8 + vpermt2ps Exp_tbl_H+64+__svml_sexp10_data_internal_avx512(%rip), %zmm3, %zmm15 + vandps AbsMask+__svml_sexp10_data_internal_avx512(%rip), %zmm0, %zmm12 + +/* R = x - Z0*log(2) */ + vfnmadd213ps {rn-sae}, %zmm0, %zmm1, %zmm5 + vcmpps $29, {sae}, %zmm13, %zmm12, %k0 + vfnmadd231ps {rn-sae}, %zmm1, %zmm4, %zmm5 + kmovw %k0, %edx + vrangeps $2, {sae}, %zmm6, %zmm5, %zmm11 + vfmadd231ps {rn-sae}, %zmm11, %zmm9, %zmm10 + vmulps {rn-sae}, %zmm11, %zmm10, %zmm14 + +/* x!=0? */ + vpxord %zmm7, %zmm7, %zmm7 + vcmpps $4, {sae}, %zmm7, %zmm0, %k1 + +/* Th*Tl */ + vmulps {rn-sae}, %zmm8, %zmm15, %zmm15{%k1} + vfmadd213ps {rn-sae}, %zmm15, %zmm14, %zmm15 + vscalefps {rn-sae}, %zmm1, %zmm15, %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 exp10f@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_exp10f_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_sexp10_data_internal_avx512_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 Exp_tbl_L[32][1]; + __declspec(align(64)) VUINT32 Exp_tbl_H[32][1]; + __declspec(align(64)) VUINT32 L2E[16][1]; + __declspec(align(64)) VUINT32 Shifter[16][1]; + __declspec(align(64)) VUINT32 L2H[16][1]; + __declspec(align(64)) VUINT32 L2L[16][1]; + __declspec(align(64)) VUINT32 EMask[16][1]; + __declspec(align(64)) VUINT32 AbsMask[16][1]; + __declspec(align(64)) VUINT32 Threshold[16][1]; + __declspec(align(64)) VUINT32 poly_coeff2[16][1]; + __declspec(align(64)) VUINT32 poly_coeff1[16][1]; + } __svml_sexp10_data_internal_avx512; +#endif +__svml_sexp10_data_internal_avx512: + /*== Exp_tbl_L ==*/ + .long 0x3f800001, 0x3f801631, 0x3f802c65, 0x3f80429d + .long 0x3f8058d9, 0x3f806f18, 0x3f80855c, 0x3f809ba3 + .long 0x3f80b1ee, 0x3f80c83d, 0x3f80de90, 0x3f80f4e7 + .long 0x3f810b42, 0x3f8121a0, 0x3f813803, 0x3f814e69 + .long 0x3f8164d3, 0x3f817b41, 0x3f8191b3, 0x3f81a829 + .long 0x3f81bea2, 0x3f81d520, 0x3f81eba2, 0x3f820227 + .long 0x3f8218b0, 0x3f822f3d, 0x3f8245cf, 0x3f825c64 + .long 0x3f8272fd, 0x3f828999, 0x3f82a03a, 0x3f82b6df + /*== Exp_tbl_H ==*/ + .align 64 + .long 0x3f800000, 0x3f82cd87, 0x3f85aac3, 0x3f88980f + .long 0x3f8b95c2, 0x3f8ea43a, 0x3f91c3d3, 0x3f94f4f0 + .long 0x3f9837f0, 0x3f9b8d3a, 0x3f9ef532, 0x3fa27043 + .long 0x3fa5fed7, 0x3fa9a15b, 0x3fad583f, 0x3fb123f6 + .long 0x3fb504f3, 0x3fb8fbaf, 0x3fbd08a4, 0x3fc12c4d + .long 0x3fc5672a, 0x3fc9b9be, 0x3fce248c, 0x3fd2a81e + .long 0x3fd744fd, 0x3fdbfbb8, 0x3fe0ccdf, 0x3fe5b907 + .long 0x3feac0c7, 0x3fefe4ba, 0x3ff5257d, 0x3ffa83b3 + /*== log2(10) ==*/ + .align 64 + .long 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78, 0x40549A78 + /*== Shifter=2^(23-10)*1.5 ==*/ + .align 64 + .long 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000, 0x46400000 + /*== L2H = log(2)_high ==*/ + .align 64 + .long 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b + /*== L2L = log(2)_low ==*/ + .align 64 + .long 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860, 0xb2760860 + /*== EMask ==*/ + .align 64 + .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 + /*== AbsMask ==*/ + .align 64 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff + /*== Threshold ==*/ + .align 64 + .long 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818, 0x4217B818 + /*== poly_coeff2 ==*/ + .align 64 + .long 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA, 0x4029B7DA + /*== poly_coeff1 ==*/ + .align 64 + .long 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D, 0x40135D8D + .align 64 + .type __svml_sexp10_data_internal_avx512,@object + .size __svml_sexp10_data_internal_avx512,.-__svml_sexp10_data_internal_avx512 |