| /* Function cosf vectorized with AVX2. |
| Copyright (C) 2014-2018 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 |
| <http://www.gnu.org/licenses/>. */ |
| |
| |
| #include <sysdep.h> |
| #include "svml_s_trig_data.h" |
| |
| .text |
| ENTRY (_ZGVdN8v_cosf_avx2) |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| 1) Range reduction to [-Pi/2; +Pi/2] interval |
| a) We remove sign using AND operation |
| b) Add Pi/2 value to argument X for Cos to Sin transformation |
| c) Getting octant Y by 1/Pi multiplication |
| d) Add "Right Shifter" value |
| e) Treat obtained value as integer for destination sign setting. |
| Shift first bit of this value to the last (sign) position |
| f) Subtract "Right Shifter" value |
| g) Subtract 0.5 from result for octant correction |
| h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
| 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
| a) Calculate X^2 = X * X |
| b) Calculate polynomial: |
| R = X + X * X^2 * (A3 + x^2 * (A5 + ..... |
| 3) Destination sign setting |
| a) Set shifted destination sign using XOR operation: |
| R = XOR( R, S ); |
| */ |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-64, %rsp |
| subq $448, %rsp |
| movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
| vmovaps %ymm0, %ymm2 |
| vmovups __sRShifter(%rax), %ymm5 |
| vmovups __sPI1_FMA(%rax), %ymm7 |
| |
| /* b) Add Pi/2 value to argument X for Cos to Sin transformation */ |
| vaddps __sHalfPI(%rax), %ymm2, %ymm4 |
| |
| /* |
| 1) Range reduction to [-Pi/2; +Pi/2] interval |
| c) Getting octant Y by 1/Pi multiplication |
| d) Add "Right Shifter" (0x4B000000) value |
| */ |
| vfmadd132ps __sInvPI(%rax), %ymm5, %ymm4 |
| |
| /* f) Subtract "Right Shifter" (0x4B000000) value */ |
| vsubps %ymm5, %ymm4, %ymm6 |
| |
| /* |
| e) Treat obtained value as integer for destination sign setting. |
| Shift first bit of this value to the last (sign) position (S << 31) |
| */ |
| vpslld $31, %ymm4, %ymm0 |
| |
| /* g) Subtract 0.5 from result for octant correction */ |
| vsubps __sOneHalf(%rax), %ymm6, %ymm4 |
| |
| /* Check for large and special arguments */ |
| vandps __sAbsMask(%rax), %ymm2, %ymm3 |
| vcmpnle_uqps __sRangeReductionVal(%rax), %ymm3, %ymm1 |
| |
| /* |
| h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3 |
| */ |
| vmovaps %ymm2, %ymm3 |
| vfnmadd231ps %ymm4, %ymm7, %ymm3 |
| vfnmadd231ps __sPI2_FMA(%rax), %ymm4, %ymm3 |
| vfnmadd132ps __sPI3_FMA(%rax), %ymm3, %ymm4 |
| |
| /* a) Calculate X^2 = X * X */ |
| vmulps %ymm4, %ymm4, %ymm5 |
| |
| /* |
| 3) Destination sign setting |
| a) Set shifted destination sign using XOR operation: |
| R = XOR( R, S ); |
| */ |
| vxorps %ymm0, %ymm4, %ymm6 |
| vmovups __sA9_FMA(%rax), %ymm0 |
| |
| /* |
| b) Calculate polynomial: |
| R = X + X * X^2 * (A3 + x^2 * (A5 + x^2 * (A7 + x^2 * (A9)))) |
| */ |
| vfmadd213ps __sA7_FMA(%rax), %ymm5, %ymm0 |
| vfmadd213ps __sA5_FMA(%rax), %ymm5, %ymm0 |
| vfmadd213ps __sA3(%rax), %ymm5, %ymm0 |
| vmulps %ymm5, %ymm0, %ymm0 |
| vmovmskps %ymm1, %ecx |
| vfmadd213ps %ymm6, %ymm6, %ymm0 |
| testl %ecx, %ecx |
| jne .LBL_1_3 |
| |
| .LBL_1_2: |
| cfi_remember_state |
| movq %rbp, %rsp |
| cfi_def_cfa_register (%rsp) |
| popq %rbp |
| cfi_adjust_cfa_offset (-8) |
| cfi_restore (%rbp) |
| ret |
| |
| .LBL_1_3: |
| cfi_restore_state |
| vmovups %ymm2, 320(%rsp) |
| vmovups %ymm0, 384(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| vmovups %ymm8, 224(%rsp) |
| vmovups %ymm9, 192(%rsp) |
| vmovups %ymm10, 160(%rsp) |
| vmovups %ymm11, 128(%rsp) |
| vmovups %ymm12, 96(%rsp) |
| vmovups %ymm13, 64(%rsp) |
| vmovups %ymm14, 32(%rsp) |
| vmovups %ymm15, (%rsp) |
| movq %rsi, 264(%rsp) |
| movq %rdi, 256(%rsp) |
| movq %r12, 296(%rsp) |
| cfi_offset_rel_rsp (12, 296) |
| movb %dl, %r12b |
| movq %r13, 288(%rsp) |
| cfi_offset_rel_rsp (13, 288) |
| movl %ecx, %r13d |
| movq %r14, 280(%rsp) |
| cfi_offset_rel_rsp (14, 280) |
| movl %eax, %r14d |
| movq %r15, 272(%rsp) |
| cfi_offset_rel_rsp (15, 272) |
| cfi_remember_state |
| |
| .LBL_1_6: |
| btl %r14d, %r13d |
| jc .LBL_1_12 |
| |
| .LBL_1_7: |
| lea 1(%r14), %esi |
| btl %esi, %r13d |
| jc .LBL_1_10 |
| |
| .LBL_1_8: |
| incb %r12b |
| addl $2, %r14d |
| cmpb $16, %r12b |
| jb .LBL_1_6 |
| |
| vmovups 224(%rsp), %ymm8 |
| vmovups 192(%rsp), %ymm9 |
| vmovups 160(%rsp), %ymm10 |
| vmovups 128(%rsp), %ymm11 |
| vmovups 96(%rsp), %ymm12 |
| vmovups 64(%rsp), %ymm13 |
| vmovups 32(%rsp), %ymm14 |
| vmovups (%rsp), %ymm15 |
| vmovups 384(%rsp), %ymm0 |
| movq 264(%rsp), %rsi |
| movq 256(%rsp), %rdi |
| movq 296(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 288(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 280(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 272(%rsp), %r15 |
| cfi_restore (%r15) |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| vmovss 324(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(cosf) |
| |
| vmovss %xmm0, 388(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| vmovss 320(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(cosf) |
| |
| vmovss %xmm0, 384(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| |
| END (_ZGVdN8v_cosf_avx2) |
