| /* Function sincosf 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 (_ZGVbN4vl4l4_sincosf_sse4) |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| 1) Range reduction to [-Pi/4; +Pi/4] interval |
| a) Grab sign from source argument and save it. |
| b) Remove sign using AND operation |
| c) Getting octant Y by 2/Pi multiplication |
| d) Add "Right Shifter" value |
| e) Treat obtained value as integer S for destination sign setting. |
| SS = ((S-S&1)&2)<<30; For sin part |
| SC = ((S+S&1)&2)<<30; For cos part |
| f) Change destination sign if source sign is negative |
| using XOR operation. |
| g) Subtract "Right Shifter" (0x4B000000) value |
| h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
| 2) Polynomial (minimax for sin within [-Pi/4; +Pi/4] interval) |
| a) Calculate X^2 = X * X |
| b) Calculate 2 polynomials for sin and cos: |
| RS = X * ( A0 + X^2 * (A1 + x^2 * (A2 + x^2 * (A3)))); |
| RC = B0 + X^2 * (B1 + x^2 * (B2 + x^2 * (B3 + x^2 * (B4)))); |
| c) Swap RS & RC if first bit of obtained value after |
| Right Shifting is set to 1. Using And, Andnot & Or operations. |
| 3) Destination sign setting |
| a) Set shifted destination sign using XOR operation: |
| R1 = XOR( RS, SS ); |
| R2 = XOR( RC, SC ). */ |
| |
| 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 |
| movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
| movups %xmm12, 176(%rsp) |
| movups %xmm9, 160(%rsp) |
| movups __sAbsMask(%rax), %xmm12 |
| |
| /* Absolute argument computation */ |
| movaps %xmm12, %xmm5 |
| andnps %xmm0, %xmm12 |
| movups __sInvPI(%rax), %xmm7 |
| andps %xmm0, %xmm5 |
| |
| /* c) Getting octant Y by 2/Pi multiplication |
| d) Add "Right Shifter" value. */ |
| mulps %xmm5, %xmm7 |
| movups %xmm10, 144(%rsp) |
| movups __sPI1(%rax), %xmm10 |
| |
| /* h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 3 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3. */ |
| movaps %xmm10, %xmm1 |
| addps __sRShifter(%rax), %xmm7 |
| |
| /* e) Treat obtained value as integer S for destination sign setting */ |
| movaps %xmm7, %xmm9 |
| |
| /* g) Subtract "Right Shifter" (0x4B000000) value */ |
| subps __sRShifter(%rax), %xmm7 |
| mulps %xmm7, %xmm1 |
| pslld $31, %xmm9 |
| movups __sPI2(%rax), %xmm6 |
| movups %xmm13, 112(%rsp) |
| movaps %xmm5, %xmm13 |
| movaps %xmm6, %xmm2 |
| subps %xmm1, %xmm13 |
| mulps %xmm7, %xmm2 |
| movups __sSignMask(%rax), %xmm3 |
| movaps %xmm5, %xmm1 |
| movups __sOneHalf(%rax), %xmm4 |
| subps %xmm2, %xmm13 |
| cmpnleps __sRangeReductionVal(%rax), %xmm5 |
| movaps %xmm3, %xmm2 |
| andps %xmm13, %xmm2 |
| xorps %xmm2, %xmm4 |
| |
| /* Result sign calculations */ |
| xorps %xmm2, %xmm3 |
| xorps %xmm9, %xmm3 |
| |
| /* Add correction term 0.5 for cos() part */ |
| addps %xmm7, %xmm4 |
| movmskps %xmm5, %ecx |
| mulps %xmm4, %xmm10 |
| mulps %xmm4, %xmm6 |
| subps %xmm10, %xmm1 |
| movups __sPI3(%rax), %xmm10 |
| subps %xmm6, %xmm1 |
| movaps %xmm10, %xmm6 |
| mulps %xmm7, %xmm6 |
| mulps %xmm4, %xmm10 |
| subps %xmm6, %xmm13 |
| subps %xmm10, %xmm1 |
| movups __sPI4(%rax), %xmm6 |
| mulps %xmm6, %xmm7 |
| mulps %xmm6, %xmm4 |
| subps %xmm7, %xmm13 |
| subps %xmm4, %xmm1 |
| xorps %xmm9, %xmm13 |
| xorps %xmm3, %xmm1 |
| movaps %xmm13, %xmm4 |
| movaps %xmm1, %xmm2 |
| mulps %xmm13, %xmm4 |
| mulps %xmm1, %xmm2 |
| movups __sA9(%rax), %xmm7 |
| |
| /* 2) Polynomial (minimax for sin within [-Pi/4; +Pi/4] interval) |
| a) Calculate X^2 = X * X |
| b) Calculate 2 polynomials for sin and cos: |
| RS = X * ( A0 + X^2 * (A1 + x^2 * (A2 + x^2 * (A3)))); |
| RC = B0 + X^2 * (B1 + x^2 * (B2 + x^2 * (B3 + x^2 * (B4)))) */ |
| movaps %xmm7, %xmm3 |
| mulps %xmm4, %xmm3 |
| mulps %xmm2, %xmm7 |
| addps __sA7(%rax), %xmm3 |
| addps __sA7(%rax), %xmm7 |
| mulps %xmm4, %xmm3 |
| mulps %xmm2, %xmm7 |
| addps __sA5(%rax), %xmm3 |
| addps __sA5(%rax), %xmm7 |
| mulps %xmm4, %xmm3 |
| mulps %xmm2, %xmm7 |
| addps __sA3(%rax), %xmm3 |
| addps __sA3(%rax), %xmm7 |
| mulps %xmm3, %xmm4 |
| mulps %xmm7, %xmm2 |
| mulps %xmm13, %xmm4 |
| mulps %xmm1, %xmm2 |
| addps %xmm4, %xmm13 |
| addps %xmm2, %xmm1 |
| xorps %xmm12, %xmm13 |
| testl %ecx, %ecx |
| jne .LBL_1_3 |
| |
| .LBL_1_2: |
| cfi_remember_state |
| movups 160(%rsp), %xmm9 |
| movaps %xmm13, (%rdi) |
| movups 144(%rsp), %xmm10 |
| movups 176(%rsp), %xmm12 |
| movups 112(%rsp), %xmm13 |
| movups %xmm1, (%rsi) |
| 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 %xmm0, 128(%rsp) |
| movups %xmm13, 192(%rsp) |
| movups %xmm1, 256(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| movups %xmm8, 48(%rsp) |
| movups %xmm11, 32(%rsp) |
| movups %xmm14, 16(%rsp) |
| movups %xmm15, (%rsp) |
| movq %rsi, 64(%rsp) |
| movq %r12, 104(%rsp) |
| cfi_offset_rel_rsp (12, 104) |
| movb %dl, %r12b |
| movq %r13, 96(%rsp) |
| cfi_offset_rel_rsp (13, 96) |
| movl %eax, %r13d |
| movq %r14, 88(%rsp) |
| cfi_offset_rel_rsp (14, 88) |
| movl %ecx, %r14d |
| movq %r15, 80(%rsp) |
| cfi_offset_rel_rsp (15, 80) |
| movq %rbx, 72(%rsp) |
| movq %rdi, %rbx |
| cfi_remember_state |
| |
| .LBL_1_6: |
| btl %r13d, %r14d |
| jc .LBL_1_13 |
| |
| .LBL_1_7: |
| lea 1(%r13), %esi |
| btl %esi, %r14d |
| jc .LBL_1_10 |
| |
| .LBL_1_8: |
| incb %r12b |
| addl $2, %r13d |
| cmpb $16, %r12b |
| jb .LBL_1_6 |
| |
| movups 48(%rsp), %xmm8 |
| movq %rbx, %rdi |
| movups 32(%rsp), %xmm11 |
| movups 16(%rsp), %xmm14 |
| movups (%rsp), %xmm15 |
| movq 64(%rsp), %rsi |
| movq 104(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 96(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 88(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 80(%rsp), %r15 |
| cfi_restore (%r15) |
| movq 72(%rsp), %rbx |
| movups 192(%rsp), %xmm13 |
| movups 256(%rsp), %xmm1 |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| movss 132(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(sinf) |
| |
| movss %xmm0, 196(%rsp,%r15,8) |
| movss 132(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| movss %xmm0, 260(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_13: |
| movzbl %r12b, %r15d |
| movss 128(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(sinf) |
| |
| movss %xmm0, 192(%rsp,%r15,8) |
| movss 128(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| movss %xmm0, 256(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| |
| END (_ZGVbN4vl4l4_sincosf_sse4) |
| libmvec_hidden_def(_ZGVbN4vl4l4_sincosf_sse4) |
| |
| /* vvv version implemented with wrapper to vl4l4 variant. */ |
| ENTRY (_ZGVbN4vvv_sincosf_sse4) |
| #ifndef __ILP32__ |
| subq $104, %rsp |
| .cfi_def_cfa_offset 112 |
| movdqu %xmm1, 32(%rsp) |
| lea (%rsp), %rdi |
| movdqu %xmm2, 48(%rdi) |
| lea 16(%rsp), %rsi |
| movdqu %xmm3, 48(%rsi) |
| movdqu %xmm4, 64(%rsi) |
| call HIDDEN_JUMPTARGET(_ZGVbN4vl4l4_sincosf_sse4) |
| movq 32(%rsp), %rdx |
| movq 40(%rsp), %rsi |
| movq 48(%rsp), %r8 |
| movq 56(%rsp), %r10 |
| movl (%rsp), %eax |
| movl 4(%rsp), %ecx |
| movl 8(%rsp), %edi |
| movl 12(%rsp), %r9d |
| movl %eax, (%rdx) |
| movl %ecx, (%rsi) |
| movq 64(%rsp), %rax |
| movq 72(%rsp), %rcx |
| movl %edi, (%r8) |
| movl %r9d, (%r10) |
| movq 80(%rsp), %rdi |
| movq 88(%rsp), %r9 |
| movl 16(%rsp), %r11d |
| movl 20(%rsp), %edx |
| movl 24(%rsp), %esi |
| movl 28(%rsp), %r8d |
| movl %r11d, (%rax) |
| movl %edx, (%rcx) |
| movl %esi, (%rdi) |
| movl %r8d, (%r9) |
| addq $104, %rsp |
| .cfi_def_cfa_offset 8 |
| ret |
| #else |
| subl $72, %esp |
| .cfi_def_cfa_offset 80 |
| leal 48(%rsp), %esi |
| movaps %xmm1, 16(%esp) |
| leal 32(%rsp), %edi |
| movaps %xmm2, (%esp) |
| call HIDDEN_JUMPTARGET(_ZGVbN4vl4l4_sincosf_sse4) |
| movl 16(%esp), %eax |
| movss 32(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 20(%esp), %eax |
| movss 36(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 24(%esp), %eax |
| movss 40(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 28(%esp), %eax |
| movss 44(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl (%esp), %eax |
| movss 48(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 4(%esp), %eax |
| movss 52(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 8(%esp), %eax |
| movss 56(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| movl 12(%esp), %eax |
| movss 60(%esp), %xmm0 |
| movss %xmm0, (%eax) |
| addl $72, %esp |
| .cfi_def_cfa_offset 8 |
| ret |
| #endif |
| END (_ZGVbN4vvv_sincosf_sse4) |
