diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_atanhf16_core_avx512.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_atanhf16_core_avx512.S | 393 |
1 files changed, 393 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf16_core_avx512.S new file mode 100644 index 0000000000..6c5f6a54fa --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_atanhf16_core_avx512.S @@ -0,0 +1,393 @@ +/* Function atanhf 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: + * + * Compute atanh(x) as 0.5 * log((1 + x)/(1 - x)) + * using small lookup table that map to AVX-512 permute instructions + * + * Special cases: + * + * atanh(0) = 0 + * atanh(+1) = +INF + * atanh(-1) = -INF + * atanh(x) = NaN if |x| > 1, or if x is a NaN or INF + * + */ + +/* Offsets for data table __svml_satanh_data_internal_avx512 + */ +#define Log_tbl_H 0 +#define Log_tbl_L 128 +#define One 256 +#define AbsMask 320 +#define AddB5 384 +#define RcpBitMask 448 +#define poly_coeff3 512 +#define poly_coeff2 576 +#define poly_coeff1 640 +#define poly_coeff0 704 +#define Half 768 +#define L2H 832 +#define L2L 896 + +#include <sysdep.h> + + .text + .section .text.exex512,"ax",@progbits +ENTRY(_ZGVeN16v_atanhf_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 One+__svml_satanh_data_internal_avx512(%rip), %zmm4 + +/* round reciprocals to 1+5b mantissas */ + vmovups AddB5+__svml_satanh_data_internal_avx512(%rip), %zmm14 + vmovups RcpBitMask+__svml_satanh_data_internal_avx512(%rip), %zmm1 + vmovaps %zmm0, %zmm11 + vandps AbsMask+__svml_satanh_data_internal_avx512(%rip), %zmm11, %zmm6 + +/* 1+y */ + vaddps {rn-sae}, %zmm4, %zmm6, %zmm9 + +/* 1-y */ + vsubps {rn-sae}, %zmm6, %zmm4, %zmm8 + vxorps %zmm6, %zmm11, %zmm10 + +/* Yp_high */ + vsubps {rn-sae}, %zmm4, %zmm9, %zmm2 + +/* -Ym_high */ + vsubps {rn-sae}, %zmm4, %zmm8, %zmm5 + +/* RcpP ~ 1/Yp */ + vrcp14ps %zmm9, %zmm12 + +/* RcpM ~ 1/Ym */ + vrcp14ps %zmm8, %zmm13 + +/* input outside (-1, 1) ? */ + vcmpps $21, {sae}, %zmm4, %zmm6, %k0 + vpaddd %zmm14, %zmm12, %zmm15 + vpaddd %zmm14, %zmm13, %zmm0 + +/* Yp_low */ + vsubps {rn-sae}, %zmm2, %zmm6, %zmm3 + vandps %zmm1, %zmm15, %zmm7 + vandps %zmm1, %zmm0, %zmm12 + +/* Ym_low */ + vaddps {rn-sae}, %zmm5, %zmm6, %zmm5 + +/* Reduced argument: Rp = (RcpP*Yp - 1)+RcpP*Yp_low */ + vfmsub213ps {rn-sae}, %zmm4, %zmm7, %zmm9 + +/* Reduced argument: Rm = (RcpM*Ym - 1)+RcpM*Ym_low */ + vfmsub231ps {rn-sae}, %zmm12, %zmm8, %zmm4 + vmovups Log_tbl_L+__svml_satanh_data_internal_avx512(%rip), %zmm8 + vmovups Log_tbl_L+64+__svml_satanh_data_internal_avx512(%rip), %zmm13 + +/* exponents */ + vgetexpps {sae}, %zmm7, %zmm15 + vfmadd231ps {rn-sae}, %zmm7, %zmm3, %zmm9 + +/* Table lookups */ + vmovups __svml_satanh_data_internal_avx512(%rip), %zmm6 + vgetexpps {sae}, %zmm12, %zmm14 + vfnmadd231ps {rn-sae}, %zmm12, %zmm5, %zmm4 + +/* Prepare table index */ + vpsrld $18, %zmm7, %zmm3 + vpsrld $18, %zmm12, %zmm2 + vmovups Log_tbl_H+64+__svml_satanh_data_internal_avx512(%rip), %zmm7 + vmovups poly_coeff1+__svml_satanh_data_internal_avx512(%rip), %zmm12 + +/* Km-Kp */ + vsubps {rn-sae}, %zmm15, %zmm14, %zmm1 + kmovw %k0, %edx + vmovaps %zmm3, %zmm0 + vpermi2ps %zmm13, %zmm8, %zmm3 + vpermt2ps %zmm13, %zmm2, %zmm8 + vpermi2ps %zmm7, %zmm6, %zmm0 + vpermt2ps %zmm7, %zmm2, %zmm6 + vsubps {rn-sae}, %zmm3, %zmm8, %zmm5 + +/* K*L2H + Th */ + vmovups L2H+__svml_satanh_data_internal_avx512(%rip), %zmm2 + +/* K*L2L + Tl */ + vmovups L2L+__svml_satanh_data_internal_avx512(%rip), %zmm3 + +/* polynomials */ + vmovups poly_coeff3+__svml_satanh_data_internal_avx512(%rip), %zmm7 + vmovups poly_coeff0+__svml_satanh_data_internal_avx512(%rip), %zmm13 + +/* table values */ + vsubps {rn-sae}, %zmm0, %zmm6, %zmm0 + vfmadd231ps {rn-sae}, %zmm1, %zmm2, %zmm0 + vfmadd213ps {rn-sae}, %zmm5, %zmm3, %zmm1 + vmovups poly_coeff2+__svml_satanh_data_internal_avx512(%rip), %zmm3 + vmovaps %zmm3, %zmm2 + vfmadd231ps {rn-sae}, %zmm9, %zmm7, %zmm2 + vfmadd231ps {rn-sae}, %zmm4, %zmm7, %zmm3 + vfmadd213ps {rn-sae}, %zmm12, %zmm9, %zmm2 + vfmadd213ps {rn-sae}, %zmm12, %zmm4, %zmm3 + vfmadd213ps {rn-sae}, %zmm13, %zmm9, %zmm2 + vfmadd213ps {rn-sae}, %zmm13, %zmm4, %zmm3 + +/* (K*L2L + Tl) + Rp*PolyP */ + vfmadd213ps {rn-sae}, %zmm1, %zmm9, %zmm2 + vorps Half+__svml_satanh_data_internal_avx512(%rip), %zmm10, %zmm9 + +/* (K*L2L + Tl) + Rp*PolyP -Rm*PolyM */ + vfnmadd213ps {rn-sae}, %zmm2, %zmm4, %zmm3 + vaddps {rn-sae}, %zmm3, %zmm0, %zmm4 + vmulps {rn-sae}, %zmm9, %zmm4, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm11 + +/* 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 %zmm11, 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 $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), %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 + movss 64(%rsp,%r14,4), %xmm0 + call atanhf@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_atanhf_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_satanh_data_internal_avx512_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 Log_tbl_H[32][1]; + __declspec(align(64)) VUINT32 Log_tbl_L[32][1]; + __declspec(align(64)) VUINT32 One[16][1]; + __declspec(align(64)) VUINT32 AbsMask[16][1]; + __declspec(align(64)) VUINT32 AddB5[16][1]; + __declspec(align(64)) VUINT32 RcpBitMask[16][1]; + __declspec(align(64)) VUINT32 poly_coeff3[16][1]; + __declspec(align(64)) VUINT32 poly_coeff2[16][1]; + __declspec(align(64)) VUINT32 poly_coeff1[16][1]; + __declspec(align(64)) VUINT32 poly_coeff0[16][1]; + __declspec(align(64)) VUINT32 Half[16][1]; + __declspec(align(64)) VUINT32 L2H[16][1]; + __declspec(align(64)) VUINT32 L2L[16][1]; + } __svml_satanh_data_internal_avx512; +#endif +__svml_satanh_data_internal_avx512: + /*== Log_tbl_H ==*/ + .long 0x00000000 + .long 0x3cfc0000 + .long 0x3d780000 + .long 0x3db78000 + .long 0x3df10000 + .long 0x3e14c000 + .long 0x3e300000 + .long 0x3e4a8000 + .long 0x3e648000 + .long 0x3e7dc000 + .long 0x3e8b4000 + .long 0x3e974000 + .long 0x3ea30000 + .long 0x3eae8000 + .long 0x3eb9c000 + .long 0x3ec4e000 + .long 0x3ecfa000 + .long 0x3eda2000 + .long 0x3ee48000 + .long 0x3eeea000 + .long 0x3ef8a000 + .long 0x3f013000 + .long 0x3f05f000 + .long 0x3f0aa000 + .long 0x3f0f4000 + .long 0x3f13d000 + .long 0x3f184000 + .long 0x3f1ca000 + .long 0x3f20f000 + .long 0x3f252000 + .long 0x3f295000 + .long 0x3f2d7000 + /*== Log_tbl_L ==*/ + .align 64 + .long 0x00000000 + .long 0x3726c39e + .long 0x38a30c01 + .long 0x37528ae5 + .long 0x38e0edc5 + .long 0xb8ab41f8 + .long 0xb7cf8f58 + .long 0x3896a73d + .long 0xb5838656 + .long 0x380c36af + .long 0xb8235454 + .long 0x3862bae1 + .long 0x38c5e10e + .long 0x38dedfac + .long 0x38ebfb5e + .long 0xb8e63c9f + .long 0xb85c1340 + .long 0x38777bcd + .long 0xb6038656 + .long 0x37d40984 + .long 0xb8b85028 + .long 0xb8ad5a5a + .long 0x3865c84a + .long 0x38c3d2f5 + .long 0x383ebce1 + .long 0xb8a1ed76 + .long 0xb7a332c4 + .long 0xb779654f + .long 0xb8602f73 + .long 0x38f85db0 + .long 0x37b4996f + .long 0xb8bfb3ca + /*== One ==*/ + .align 64 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /*== AbsMask ==*/ + .align 64 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff + /*== AddB5 ==*/ + .align 64 + .long 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000, 0x00020000 + /*== RcpBitMask ==*/ + .align 64 + .long 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000, 0xfffc0000 + /*== poly_coeff3 ==*/ + .align 64 + .long 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810, 0xbe800810 + /*== poly_coeff2 ==*/ + .align 64 + .long 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e, 0x3eaab11e + /*== poly_coeff1 ==*/ + .align 64 + .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 + /*== poly_coeff0 ==*/ + .align 64 + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /*== Half ==*/ + .align 64 + .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 + /*== L2H = log(2)_high ==*/ + .align 64 + .long 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000, 0x3f317000 + /*== L2L = log(2)_low ==*/ + .align 64 + .long 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4, 0x3805fdf4 + .align 64 + .type __svml_satanh_data_internal_avx512,@object + .size __svml_satanh_data_internal_avx512,.-__svml_satanh_data_internal_avx512 |