diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_d_expm18_core_avx512.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_d_expm18_core_avx512.S | 334 |
1 files changed, 334 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_expm18_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_expm18_core_avx512.S new file mode 100644 index 0000000000..64cee91abd --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_expm18_core_avx512.S @@ -0,0 +1,334 @@ +/* Function expm1 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: + * After computing exp(x) in high-low parts, an accurate computation is performed to obtain exp(x)-1 + * Typical exp() 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 + * + * + */ + +/* Offsets for data table __svml_dexpm1_data_internal_avx512 + */ +#define Exp_tbl_H 0 +#define Exp_tbl_L 128 +#define L2E 256 +#define Shifter 320 +#define Threshold 384 +#define SgnMask 448 +#define L2H 512 +#define L2L 576 +#define ZThres 640 +#define EMask 704 +#define poly_coeff7 768 +#define poly_coeff6 832 +#define poly_coeff5 896 +#define poly_coeff4 960 +#define poly_coeff3 1024 +#define poly_coeff2 1088 +#define One 1152 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_expm1_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_dexpm1_data_internal_avx512(%rip), %zmm6 + vmovups Shifter+__svml_dexpm1_data_internal_avx512(%rip), %zmm4 + vmovups L2H+__svml_dexpm1_data_internal_avx512(%rip), %zmm11 + vmovups L2L+__svml_dexpm1_data_internal_avx512(%rip), %zmm5 + vmovups Threshold+__svml_dexpm1_data_internal_avx512(%rip), %zmm3 + vmovups poly_coeff5+__svml_dexpm1_data_internal_avx512(%rip), %zmm13 + vmovups poly_coeff4+__svml_dexpm1_data_internal_avx512(%rip), %zmm15 + +/* polynomial */ + vmovups poly_coeff7+__svml_dexpm1_data_internal_avx512(%rip), %zmm12 + +/* set Z0=max(Z0, -128.0) */ + vmovups ZThres+__svml_dexpm1_data_internal_avx512(%rip), %zmm8 + vmovups poly_coeff3+__svml_dexpm1_data_internal_avx512(%rip), %zmm14 + vmovups __svml_dexpm1_data_internal_avx512(%rip), %zmm9 + vmovaps %zmm0, %zmm2 + +/* 2^(52-4)*1.5 + x * log2(e) */ + vfmadd213pd {rn-sae}, %zmm4, %zmm2, %zmm6 + vmovups Exp_tbl_L+__svml_dexpm1_data_internal_avx512(%rip), %zmm0 + vcmppd $21, {sae}, %zmm3, %zmm2, %k0 + +/* Z0 ~ x*log2(e), rounded to 4 fractional bits */ + vsubpd {rn-sae}, %zmm4, %zmm6, %zmm7 + vpermt2pd Exp_tbl_H+64+__svml_dexpm1_data_internal_avx512(%rip), %zmm6, %zmm9 + vpermt2pd Exp_tbl_L+64+__svml_dexpm1_data_internal_avx512(%rip), %zmm6, %zmm0 + vandpd SgnMask+__svml_dexpm1_data_internal_avx512(%rip), %zmm2, %zmm1 + +/* R = x - Z0*log(2) */ + vfnmadd213pd {rn-sae}, %zmm2, %zmm7, %zmm11 + vmaxpd {sae}, %zmm8, %zmm7, %zmm10 + vfnmadd231pd {rn-sae}, %zmm7, %zmm5, %zmm11 + kmovw %k0, %edx + +/* ensure |R|<2 even for special cases */ + vandpd EMask+__svml_dexpm1_data_internal_avx512(%rip), %zmm11, %zmm3 + vmovups poly_coeff6+__svml_dexpm1_data_internal_avx512(%rip), %zmm11 + +/* scale Th */ + vscalefpd {rn-sae}, %zmm10, %zmm9, %zmm4 + vfmadd231pd {rn-sae}, %zmm3, %zmm13, %zmm15 + vfmadd231pd {rn-sae}, %zmm3, %zmm12, %zmm11 + vmovups poly_coeff2+__svml_dexpm1_data_internal_avx512(%rip), %zmm12 + vmulpd {rn-sae}, %zmm3, %zmm3, %zmm13 + vfmadd231pd {rn-sae}, %zmm3, %zmm14, %zmm12 + vfmadd213pd {rn-sae}, %zmm15, %zmm13, %zmm11 + vfmadd213pd {rn-sae}, %zmm12, %zmm13, %zmm11 + +/* Tlr + R+ R*Poly */ + vfmadd213pd {rn-sae}, %zmm0, %zmm13, %zmm11 + +/* Th - 1 */ + vmovups One+__svml_dexpm1_data_internal_avx512(%rip), %zmm0 + vaddpd {rn-sae}, %zmm3, %zmm11, %zmm14 + vsubpd {rn-sae}, %zmm0, %zmm4, %zmm15 + +/* (Th-1)+Th*(Tlr + R+ R*Poly) */ + vfmadd213pd {rn-sae}, %zmm15, %zmm14, %zmm4 + vorpd %zmm1, %zmm4, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm2 + +/* 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 %zmm2, 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 $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 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 + movsd 64(%rsp,%r14,8), %xmm0 + call expm1@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 128(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN8v_expm1_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_dexpm1_data_internal_avx512_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 Exp_tbl_H[16][2]; + __declspec(align(64)) VUINT32 Exp_tbl_L[16][2]; + __declspec(align(64)) VUINT32 L2E[8][2]; + __declspec(align(64)) VUINT32 Shifter[8][2]; + __declspec(align(64)) VUINT32 Threshold[8][2]; + __declspec(align(64)) VUINT32 SgnMask[8][2]; + __declspec(align(64)) VUINT32 L2H[8][2]; + __declspec(align(64)) VUINT32 L2L[8][2]; + __declspec(align(64)) VUINT32 ZThres[8][2]; + __declspec(align(64)) VUINT32 EMask[8][2]; + __declspec(align(64)) VUINT32 poly_coeff7[8][2]; + __declspec(align(64)) VUINT32 poly_coeff6[8][2]; + __declspec(align(64)) VUINT32 poly_coeff5[8][2]; + __declspec(align(64)) VUINT32 poly_coeff4[8][2]; + __declspec(align(64)) VUINT32 poly_coeff3[8][2]; + __declspec(align(64)) VUINT32 poly_coeff2[8][2]; + __declspec(align(64)) VUINT32 One[8][2]; + } __svml_dexpm1_data_internal_avx512; +#endif +__svml_dexpm1_data_internal_avx512: + /*== Exp_tbl_H ==*/ + .quad 0x3ff0000000000000 + .quad 0x3ff0b5586cf9890f + .quad 0x3ff172b83c7d517b + .quad 0x3ff2387a6e756238 + .quad 0x3ff306fe0a31b715 + .quad 0x3ff3dea64c123422 + .quad 0x3ff4bfdad5362a27 + .quad 0x3ff5ab07dd485429 + .quad 0x3ff6a09e667f3bcd + .quad 0x3ff7a11473eb0187 + .quad 0x3ff8ace5422aa0db + .quad 0x3ff9c49182a3f090 + .quad 0x3ffae89f995ad3ad + .quad 0x3ffc199bdd85529c + .quad 0x3ffd5818dcfba487 + .quad 0x3ffea4afa2a490da + /*== Exp_tbl_L ==*/ + .align 64 + .quad 0x0000000000000000 + .quad 0x3c979aa65d837b6d + .quad 0xbc801b15eaa59348 + .quad 0x3c968efde3a8a894 + .quad 0x3c834d754db0abb6 + .quad 0x3c859f48a72a4c6d + .quad 0x3c7690cebb7aafb0 + .quad 0x3c9063e1e21c5409 + .quad 0xbc93b3efbf5e2228 + .quad 0xbc7b32dcb94da51d + .quad 0x3c8db72fc1f0eab4 + .quad 0x3c71affc2b91ce27 + .quad 0x3c8c1a7792cb3387 + .quad 0x3c736eae30af0cb3 + .quad 0x3c74a385a63d07a7 + .quad 0xbc8ff7128fd391f0 + /*== log2(e) ==*/ + .align 64 + .quad 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE, 0x3ff71547652B82FE + /*== Shifter=2^(52-4)*1.5 ==*/ + .align 64 + .quad 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0, 0x42f8000000003ff0 + /*== Threshold ==*/ + .align 64 + .quad 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44, 0x40861DA04CBAFE44 + /*== Sgn ==*/ + .align 64 + .quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 + /*== L2H = log(2)_high ==*/ + .align 64 + .quad 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef, 0x3fe62e42fefa39ef + /*== L2L = log(2)_low ==*/ + .align 64 + .quad 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f, 0x3c7abc9e3b39803f + /*== ZThres ==*/ + .align 64 + .quad 0xc060000000000000, 0xc060000000000000, 0xc060000000000000, 0xc060000000000000, 0xc060000000000000, 0xc060000000000000, 0xc060000000000000, 0xc060000000000000 + /*== EMask ==*/ + .align 64 + .quad 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff, 0xbfffffffffffffff + /*== poly_coeff7 ==*/ + .align 64 + .quad 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a, 0x3f2a020410303d8a + /*== poly_coeff6 ==*/ + .align 64 + .quad 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f, 0x3f56c1c38e164a2f + /*== poly_coeff5 ==*/ + .align 64 + .quad 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214, 0x3f81111110865214 + /*== poly_coeff4 ==*/ + .align 64 + .quad 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06, 0x3fa5555554ad3d06 + /*== poly_coeff3 ==*/ + .align 64 + .quad 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656, 0x3fc5555555555656 + /*== poly_coeff2 ==*/ + .align 64 + .quad 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2, 0x3fe00000000000a2 + /*== One ==*/ + .align 64 + .quad 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000, 0x3ff0000000000000 + .align 64 + .type __svml_dexpm1_data_internal_avx512,@object + .size __svml_dexpm1_data_internal_avx512,.-__svml_dexpm1_data_internal_avx512 |