diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_d_cosh8_core_avx512.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_d_cosh8_core_avx512.S | 323 |
1 files changed, 323 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_cosh8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_cosh8_core_avx512.S new file mode 100644 index 0000000000..53040cef9a --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_cosh8_core_avx512.S @@ -0,0 +1,323 @@ +/* Function cosh 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 cosh(x) as (exp(x)+exp(-x))/2, + * where exp is calculated as + * exp(M*ln2 + ln2*(j/2^k) + r) = 2^M * 2^(j/2^k) * exp(r) + * + * Special cases: + * + * cosh(NaN) = quiet NaN, and raise invalid exception + * cosh(INF) = that INF + * cosh(0) = 1 + * cosh(x) overflows for big x and returns MAXLOG+log(2) + * + */ + +/* Offsets for data table __svml_dcosh_data_internal + */ +#define _dTp_h 0 +#define _dTn_h 128 +#define _dbShifter_UISA 256 +#define _dPC2_UISA 320 +#define _dPC3_UISA 384 +#define _dPC4_UISA 448 +#define _dPC5_UISA 512 +#define _dPC6_UISA 576 +#define _dPC7_UISA 640 +#define _dbInvLn2 704 +#define _dbLn2hi 768 +#define _dbLn2lo 832 +#define _dbShifter 896 +#define _dPC2 960 +#define _dPC3 1024 +#define _dPC4 1088 +#define _lExpMask 1152 +#define _dSign 1216 +#define _iDomainRange 1280 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_cosh_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 _dSign+__svml_dcosh_data_internal(%rip), %zmm11 + vmovups _dbShifter_UISA+__svml_dcosh_data_internal(%rip), %zmm15 + +/* + * Load argument + * dM = x*2^K/log(2) + RShifter + */ + vmovups _dbInvLn2+__svml_dcosh_data_internal(%rip), %zmm4 + vmovups _dbLn2hi+__svml_dcosh_data_internal(%rip), %zmm2 + vmovups _dbLn2lo+__svml_dcosh_data_internal(%rip), %zmm3 + vmovups _dPC7_UISA+__svml_dcosh_data_internal(%rip), %zmm8 + vmovups _dPC6_UISA+__svml_dcosh_data_internal(%rip), %zmm9 + vmovups _dPC2_UISA+__svml_dcosh_data_internal(%rip), %zmm7 + vmovups _dPC3_UISA+__svml_dcosh_data_internal(%rip), %zmm6 + vmovaps %zmm0, %zmm10 + +/* Abs argument */ + vandnpd %zmm10, %zmm11, %zmm5 + +/* Index and lookup */ + vmovups __svml_dcosh_data_internal(%rip), %zmm11 + vmovups _dTn_h+__svml_dcosh_data_internal(%rip), %zmm0 + vfmadd213pd {rn-sae}, %zmm15, %zmm5, %zmm4 + +/* + * Check for overflow\underflow + * + */ + vpsrlq $32, %zmm5, %zmm12 + +/* dN = dM - RShifter */ + vsubpd {rn-sae}, %zmm15, %zmm4, %zmm1 + vpmovqd %zmm12, %ymm13 + vpermt2pd _dTn_h+64+__svml_dcosh_data_internal(%rip), %zmm4, %zmm0 + vpermt2pd _dTp_h+64+__svml_dcosh_data_internal(%rip), %zmm4, %zmm11 + +/* dR = dX - dN*Log2_hi/2^K */ + vfnmadd231pd {rn-sae}, %zmm2, %zmm1, %zmm5 + +/* + * poly(r) = Gmjp(1 + a2*r^2 + a4*r^4) + Gmjn*(r+ a3*r^3 +a5*r^5) = + * = Gmjp_h +Gmjp_l+ Gmjp*r^2*(a2 + a4*r^2) + Gmjn*(r+ r^3*(a3 +a5*r^2) + */ + vmovups _dPC5_UISA+__svml_dcosh_data_internal(%rip), %zmm12 + vpsllq $48, %zmm4, %zmm2 + +/* dR = dX - dN*Log2_hi/2^K */ + vfnmadd231pd {rn-sae}, %zmm3, %zmm1, %zmm5 + vmulpd {rn-sae}, %zmm5, %zmm5, %zmm1 + vfmadd231pd {rn-sae}, %zmm1, %zmm8, %zmm12 + vmovups _dPC4_UISA+__svml_dcosh_data_internal(%rip), %zmm8 + vfmadd213pd {rn-sae}, %zmm6, %zmm1, %zmm12 + vfmadd231pd {rn-sae}, %zmm1, %zmm9, %zmm8 + vfmadd213pd {rn-sae}, %zmm7, %zmm1, %zmm8 + vpcmpgtd _iDomainRange+__svml_dcosh_data_internal(%rip), %ymm13, %ymm14 + vmovmskps %ymm14, %edx + +/* dOut=r^2*(a2 + a4*r^2) */ + vmulpd {rn-sae}, %zmm1, %zmm8, %zmm6 + +/* lM now is an EXP(2^N) */ + vpandq _lExpMask+__svml_dcosh_data_internal(%rip), %zmm2, %zmm3 + vpaddq %zmm3, %zmm11, %zmm4 + vpsubq %zmm3, %zmm0, %zmm0 + vsubpd {rn-sae}, %zmm0, %zmm4, %zmm14 + vaddpd {rn-sae}, %zmm0, %zmm4, %zmm13 + +/* dM=r^2*(a3 +a5*r^2) */ + vmulpd {rn-sae}, %zmm1, %zmm12, %zmm0 + vfmadd213pd {rn-sae}, %zmm13, %zmm13, %zmm6 + +/* dM= r + r^3*(a3 +a5*r^2) */ + vfmadd213pd {rn-sae}, %zmm5, %zmm5, %zmm0 + vfmadd213pd {rn-sae}, %zmm6, %zmm14, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm10 + +/* 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 %zmm10, 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 cosh@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_cosh_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_dcosh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(64)) VUINT32 _dTp_h[(1<<4)][2]; + __declspec(align(64)) VUINT32 _dTn_h[(1<<4)][2]; + __declspec(align(64)) VUINT32 _dbShifter_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC2_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC3_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC4_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC5_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC6_UISA[8][2]; + __declspec(align(64)) VUINT32 _dPC7_UISA[8][2]; + __declspec(align(64)) VUINT32 _dbInvLn2[8][2]; + __declspec(align(64)) VUINT32 _dbLn2hi[8][2]; + __declspec(align(64)) VUINT32 _dbLn2lo[8][2]; + __declspec(align(64)) VUINT32 _dbShifter[8][2]; + __declspec(align(64)) VUINT32 _dPC2[8][2]; + __declspec(align(64)) VUINT32 _dPC3[8][2]; + __declspec(align(64)) VUINT32 _dPC4[8][2]; + __declspec(align(64)) VUINT32 _lExpMask[8][2]; + __declspec(align(64)) VUINT32 _dSign[8][2]; //0x8000000000000000 + __declspec(align(64)) VUINT32 _iDomainRange[16][1]; +} __svml_dcosh_data_internal; +#endif +__svml_dcosh_data_internal: + /*== _dTp_h ==*/ + .quad 0x3fe0000000000000, 0x3fe0b5586cf9890f, 0x3fe172b83c7d517b, 0x3fe2387a6e756238 + .quad 0x3fe306fe0a31b715, 0x3fe3dea64c123422, 0x3fe4bfdad5362a27, 0x3fe5ab07dd485429 + .quad 0x3fe6a09e667f3bcd, 0x3fe7a11473eb0187, 0x3fe8ace5422aa0db, 0x3fe9c49182a3f090 + .quad 0x3feae89f995ad3ad, 0x3fec199bdd85529c, 0x3fed5818dcfba487, 0x3feea4afa2a490da + /*== dTn_h ==*/ + .align 64 + .quad 0x3fe0000000000000, 0x3fdea4afa2a490da, 0x3fdd5818dcfba487, 0x3fdc199bdd85529c + .quad 0x3fdae89f995ad3ad, 0x3fd9c49182a3f090, 0x3fd8ace5422aa0db, 0x3fd7a11473eb0187 + .quad 0x3fd6a09e667f3bcd, 0x3fd5ab07dd485429, 0x3fd4bfdad5362a27, 0x3fd3dea64c123422 + .quad 0x3fd306fe0a31b715, 0x3fd2387a6e756238, 0x3fd172b83c7d517b, 0x3fd0b5586cf9890f + .align 64 + .quad 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000, 0x42F8000000000000 /* _dbShifter_UISA */ + .align 64 + .quad 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004, 0x3fe0000000000004 /* _dPC2_UISA */ + .align 64 + .quad 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543, 0x3fc5555555555543 /* _dPC3_UISA */ + .align 64 + .quad 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37, 0x3fa5555555484f37 /* _dPC4_UISA */ + .align 64 + .quad 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c, 0x3f81111111286a0c /* _dPC5_UISA */ + .align 64 + .quad 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116, 0x3f56c183da08f116 /* _dPC6_UISA */ + .align 64 + .quad 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da, 0x3f2a018d76da03da /* _dPC7_UISA */ + /*== _dbT ==*/ + .align 64 + .quad 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe, 0x3ff71547652b82fe /* _dbInvLn2 = 1/log(2) */ + .align 64 + .quad 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000, 0x3FE62E42FEFC0000 /* _dbLn2hi = log(2) hi*/ + .align 64 + .quad 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899, 0xBDAC610CA86C3899 /* _dbLn2lo = log(2) lo*/ + .align 64 + .quad 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000, 0x42B8000000000000 /* _dbShifter */ + .align 64 + .quad 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD, 0x3FDFFFFFFFFFFDBD /* _dPC2 */ + .align 64 + .quad 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14, 0x3FC5555570813E14 /* _dPC3 */ + .align 64 + .quad 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299, 0x3FA55555CF16D299 /* _dPC4 */ + .align 64 + .quad 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000, 0x7ff0000000000000 /* _lExpMask */ + .align 64 + .quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 /* _dSign*/ + .align 64 + .long 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99, 0x40861d99 /* _iDomainRange 0x40861d9ac12a3e85 =(1021*2^K-0.5)*log(2)/2^K -needed for quick exp*/ + .align 64 + .type __svml_dcosh_data_internal,@object + .size __svml_dcosh_data_internal,.-__svml_dcosh_data_internal |