| /* Function cosf vectorized with SSE4. |
| 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 (_ZGVbN4v_cosf_sse4) |
| /* |
| 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 $320, %rsp |
| movaps %xmm0, %xmm4 |
| movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
| movups __sHalfPI(%rax), %xmm1 |
| movups __sRShifter(%rax), %xmm5 |
| |
| /* b) Add Pi/2 value to argument X for Cos to Sin transformation */ |
| addps %xmm4, %xmm1 |
| |
| /* |
| 1) Range reduction to [-Pi/2; +Pi/2] interval |
| c) Getting octant Y by 1/Pi multiplication |
| d) Add "Right Shifter" (0x4B000000) value |
| */ |
| mulps __sInvPI(%rax), %xmm1 |
| movups __sPI1(%rax), %xmm6 |
| addps %xmm5, %xmm1 |
| |
| /* |
| e) Treat obtained value as integer for destination sign setting. |
| Shift first bit of this value to the last (sign) position (S << 31) |
| */ |
| movaps %xmm1, %xmm2 |
| |
| /* f) Subtract "Right Shifter" (0x4B000000) value */ |
| subps %xmm5, %xmm1 |
| movups __sPI2(%rax), %xmm7 |
| pslld $31, %xmm2 |
| movups __sPI3(%rax), %xmm5 |
| movups __sAbsMask(%rax), %xmm3 |
| |
| /* Check for large and special arguments */ |
| andps %xmm4, %xmm3 |
| |
| /* g) Subtract 0.5 from result for octant correction */ |
| subps __sOneHalf(%rax), %xmm1 |
| cmpnleps __sRangeReductionVal(%rax), %xmm3 |
| |
| /* |
| h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
| */ |
| mulps %xmm1, %xmm6 |
| mulps %xmm1, %xmm7 |
| mulps %xmm1, %xmm5 |
| subps %xmm6, %xmm0 |
| movmskps %xmm3, %ecx |
| movups __sPI4(%rax), %xmm6 |
| subps %xmm7, %xmm0 |
| mulps %xmm6, %xmm1 |
| subps %xmm5, %xmm0 |
| subps %xmm1, %xmm0 |
| |
| /* a) Calculate X^2 = X * X */ |
| movaps %xmm0, %xmm1 |
| mulps %xmm0, %xmm1 |
| |
| /* |
| 3) Destination sign setting |
| a) Set shifted destination sign using XOR operation: |
| R = XOR( R, S ); |
| */ |
| xorps %xmm2, %xmm0 |
| movups __sA9(%rax), %xmm2 |
| |
| /* |
| b) Calculate polynomial: |
| R = X + X * X^2 * (A3 + x^2 * (A5 + x^2 * (A7 + x^2 * (A9)))); |
| */ |
| mulps %xmm1, %xmm2 |
| addps __sA7(%rax), %xmm2 |
| mulps %xmm1, %xmm2 |
| addps __sA5(%rax), %xmm2 |
| mulps %xmm1, %xmm2 |
| addps __sA3(%rax), %xmm2 |
| mulps %xmm2, %xmm1 |
| mulps %xmm0, %xmm1 |
| addps %xmm1, %xmm0 |
| 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 |
| movups %xmm4, 192(%rsp) |
| movups %xmm0, 256(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| movups %xmm8, 112(%rsp) |
| movups %xmm9, 96(%rsp) |
| movups %xmm10, 80(%rsp) |
| movups %xmm11, 64(%rsp) |
| movups %xmm12, 48(%rsp) |
| movups %xmm13, 32(%rsp) |
| movups %xmm14, 16(%rsp) |
| movups %xmm15, (%rsp) |
| movq %rsi, 136(%rsp) |
| movq %rdi, 128(%rsp) |
| movq %r12, 168(%rsp) |
| cfi_offset_rel_rsp (12, 168) |
| movb %dl, %r12b |
| movq %r13, 160(%rsp) |
| cfi_offset_rel_rsp (13, 160) |
| movl %ecx, %r13d |
| movq %r14, 152(%rsp) |
| cfi_offset_rel_rsp (14, 152) |
| movl %eax, %r14d |
| movq %r15, 144(%rsp) |
| cfi_offset_rel_rsp (15, 144) |
| 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 |
| |
| movups 112(%rsp), %xmm8 |
| movups 96(%rsp), %xmm9 |
| movups 80(%rsp), %xmm10 |
| movups 64(%rsp), %xmm11 |
| movups 48(%rsp), %xmm12 |
| movups 32(%rsp), %xmm13 |
| movups 16(%rsp), %xmm14 |
| movups (%rsp), %xmm15 |
| movq 136(%rsp), %rsi |
| movq 128(%rsp), %rdi |
| movq 168(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 160(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 152(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 144(%rsp), %r15 |
| cfi_restore (%r15) |
| movups 256(%rsp), %xmm0 |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| movss 196(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| movss %xmm0, 260(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| movss 192(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| movss %xmm0, 256(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| END (_ZGVbN4v_cosf_sse4) |
