| /* Function sincosf 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 (_ZGVdN8vl4l4_sincosf_avx2) |
| /* |
| 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 $448, %rsp |
| movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
| vmovdqa %ymm0, %ymm5 |
| vmovups %ymm13, 352(%rsp) |
| vmovups __sAbsMask(%rax), %ymm2 |
| vmovups __sInvPI(%rax), %ymm1 |
| vmovups __sPI1_FMA(%rax), %ymm13 |
| vmovups %ymm15, 288(%rsp) |
| |
| /* Absolute argument computation */ |
| vandps %ymm2, %ymm5, %ymm4 |
| |
| /* c) Getting octant Y by 2/Pi multiplication |
| d) Add "Right Shifter" value */ |
| vfmadd213ps __sRShifter(%rax), %ymm4, %ymm1 |
| |
| /* e) Treat obtained value as integer S for destination sign setting */ |
| vpslld $31, %ymm1, %ymm0 |
| |
| /* g) Subtract "Right Shifter" (0x4B000000) value */ |
| vsubps __sRShifter(%rax), %ymm1, %ymm1 |
| |
| /* h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 3 parts: |
| X = X - Y*PI1 - Y*PI2 - Y*PI3 */ |
| vmovdqa %ymm4, %ymm7 |
| vfnmadd231ps %ymm1, %ymm13, %ymm7 |
| vfnmadd231ps __sPI2_FMA(%rax), %ymm1, %ymm7 |
| vandps __sSignMask(%rax), %ymm7, %ymm15 |
| vxorps __sOneHalf(%rax), %ymm15, %ymm6 |
| |
| /* Add correction term 0.5 for cos() part */ |
| vaddps %ymm6, %ymm1, %ymm6 |
| vmovdqa %ymm4, %ymm3 |
| vfnmadd231ps %ymm6, %ymm13, %ymm3 |
| vmovups __sPI3_FMA(%rax), %ymm13 |
| vcmpnle_uqps __sRangeReductionVal(%rax), %ymm4, %ymm4 |
| vfnmadd231ps __sPI2_FMA(%rax), %ymm6, %ymm3 |
| vfnmadd213ps %ymm7, %ymm13, %ymm1 |
| vfnmadd213ps %ymm3, %ymm13, %ymm6 |
| |
| /* Result sign calculations */ |
| vxorps __sSignMask(%rax), %ymm15, %ymm3 |
| vxorps %ymm0, %ymm3, %ymm7 |
| vxorps %ymm7, %ymm6, %ymm3 |
| vxorps %ymm0, %ymm1, %ymm15 |
| vandnps %ymm5, %ymm2, %ymm6 |
| vmovups __sA7_FMA(%rax), %ymm2 |
| vmulps %ymm15, %ymm15, %ymm13 |
| vmovups __sA9_FMA(%rax), %ymm7 |
| vmulps %ymm3, %ymm3, %ymm1 |
| |
| /* 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)))) */ |
| vmovdqa %ymm2, %ymm0 |
| vfmadd231ps __sA9_FMA(%rax), %ymm13, %ymm0 |
| vfmadd213ps %ymm2, %ymm1, %ymm7 |
| vfmadd213ps __sA5_FMA(%rax), %ymm13, %ymm0 |
| vfmadd213ps __sA5_FMA(%rax), %ymm1, %ymm7 |
| vfmadd213ps __sA3(%rax), %ymm13, %ymm0 |
| vfmadd213ps __sA3(%rax), %ymm1, %ymm7 |
| vmulps %ymm13, %ymm0, %ymm13 |
| vmulps %ymm1, %ymm7, %ymm1 |
| vfmadd213ps %ymm15, %ymm15, %ymm13 |
| vfmadd213ps %ymm3, %ymm3, %ymm1 |
| vmovmskps %ymm4, %ecx |
| vxorps %ymm6, %ymm13, %ymm0 |
| testl %ecx, %ecx |
| jne .LBL_1_3 |
| |
| .LBL_1_2: |
| cfi_remember_state |
| vmovups 352(%rsp), %ymm13 |
| vmovups 288(%rsp), %ymm15 |
| vmovups %ymm0, (%rdi) |
| vmovups %ymm1, (%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 |
| vmovups %ymm5, 256(%rsp) |
| vmovups %ymm0, 320(%rsp) |
| vmovups %ymm1, 384(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| vmovups %ymm8, 160(%rsp) |
| vmovups %ymm9, 128(%rsp) |
| vmovups %ymm10, 96(%rsp) |
| vmovups %ymm11, 64(%rsp) |
| vmovups %ymm12, 32(%rsp) |
| vmovups %ymm14, (%rsp) |
| movq %rsi, 192(%rsp) |
| movq %r12, 232(%rsp) |
| cfi_offset_rel_rsp (12, 232) |
| movb %dl, %r12b |
| movq %r13, 224(%rsp) |
| cfi_offset_rel_rsp (13, 224) |
| movl %eax, %r13d |
| movq %r14, 216(%rsp) |
| cfi_offset_rel_rsp (14, 216) |
| movl %ecx, %r14d |
| movq %r15, 208(%rsp) |
| cfi_offset_rel_rsp (14, 208) |
| movq %rbx, 200(%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 |
| |
| vmovups 160(%rsp), %ymm8 |
| movq %rbx, %rdi |
| vmovups 128(%rsp), %ymm9 |
| vmovups 96(%rsp), %ymm10 |
| vmovups 64(%rsp), %ymm11 |
| vmovups 32(%rsp), %ymm12 |
| vmovups (%rsp), %ymm14 |
| vmovups 320(%rsp), %ymm0 |
| vmovups 384(%rsp), %ymm1 |
| movq 192(%rsp), %rsi |
| movq 232(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 224(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 216(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 208(%rsp), %r15 |
| cfi_restore (%r15) |
| movq 200(%rsp), %rbx |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| vmovss 260(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(sinf) |
| |
| vmovss %xmm0, 324(%rsp,%r15,8) |
| vmovss 260(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| vmovss %xmm0, 388(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_13: |
| movzbl %r12b, %r15d |
| vmovss 256(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| |
| call JUMPTARGET(sinf) |
| |
| vmovss %xmm0, 320(%rsp,%r15,8) |
| vmovss 256(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(cosf) |
| |
| vmovss %xmm0, 384(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| |
| END (_ZGVdN8vl4l4_sincosf_avx2) |
| libmvec_hidden_def(_ZGVdN8vl4l4_sincosf_avx2) |
| |
| /* vvv version implemented with wrapper to vl4l4 variant. */ |
| ENTRY (_ZGVdN8vvv_sincosf_avx2) |
| #ifndef __ILP32__ |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-32, %rsp |
| subq $192, %rsp |
| vmovdqu %ymm1, 64(%rsp) |
| lea (%rsp), %rdi |
| vmovdqu %ymm2, 96(%rdi) |
| vmovdqu %ymm3, 128(%rdi) |
| vmovdqu %ymm4, 160(%rdi) |
| lea 32(%rsp), %rsi |
| call HIDDEN_JUMPTARGET(_ZGVdN8vl4l4_sincosf_avx2) |
| movq 64(%rsp), %rdx |
| movq 72(%rsp), %rsi |
| movq 80(%rsp), %r8 |
| movq 88(%rsp), %r10 |
| movl (%rsp), %eax |
| movl 4(%rsp), %ecx |
| movl 8(%rsp), %edi |
| movl 12(%rsp), %r9d |
| movl %eax, (%rdx) |
| movl %ecx, (%rsi) |
| movq 96(%rsp), %rax |
| movq 104(%rsp), %rcx |
| movl %edi, (%r8) |
| movl %r9d, (%r10) |
| movq 112(%rsp), %rdi |
| movq 120(%rsp), %r9 |
| movl 16(%rsp), %r11d |
| movl 20(%rsp), %edx |
| movl 24(%rsp), %esi |
| movl 28(%rsp), %r8d |
| movl %r11d, (%rax) |
| movl %edx, (%rcx) |
| movq 128(%rsp), %r11 |
| movq 136(%rsp), %rdx |
| movl %esi, (%rdi) |
| movl %r8d, (%r9) |
| movq 144(%rsp), %rsi |
| movq 152(%rsp), %r8 |
| movl 32(%rsp), %r10d |
| movl 36(%rsp), %eax |
| movl 40(%rsp), %ecx |
| movl 44(%rsp), %edi |
| movl %r10d, (%r11) |
| movl %eax, (%rdx) |
| movq 160(%rsp), %r10 |
| movq 168(%rsp), %rax |
| movl %ecx, (%rsi) |
| movl %edi, (%r8) |
| movq 176(%rsp), %rcx |
| movq 184(%rsp), %rdi |
| movl 48(%rsp), %r9d |
| movl 52(%rsp), %r11d |
| movl 56(%rsp), %edx |
| movl 60(%rsp), %esi |
| movl %r9d, (%r10) |
| movl %r11d, (%rax) |
| movl %edx, (%rcx) |
| movl %esi, (%rdi) |
| movq %rbp, %rsp |
| cfi_def_cfa_register (%rsp) |
| popq %rbp |
| cfi_adjust_cfa_offset (-8) |
| cfi_restore (%rbp) |
| ret |
| #else |
| leal 8(%rsp), %r10d |
| .cfi_def_cfa 10, 0 |
| andl $-32, %esp |
| pushq -8(%r10d) |
| pushq %rbp |
| .cfi_escape 0x10,0x6,0x2,0x76,0 |
| movl %esp, %ebp |
| pushq %r10 |
| .cfi_escape 0xf,0x3,0x76,0x78,0x6 |
| leal -48(%rbp), %esi |
| leal -80(%rbp), %edi |
| subl $136, %esp |
| vmovdqa %ymm1, -112(%ebp) |
| vmovdqa %ymm2, -144(%ebp) |
| call HIDDEN_JUMPTARGET(_ZGVdN8vl4l4_sincosf_avx2) |
| vmovdqa -112(%ebp), %xmm0 |
| vmovq %xmm0, %rax |
| vmovss -80(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -76(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -104(%ebp), %rax |
| vmovss -72(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -68(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -96(%ebp), %rax |
| vmovss -64(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -60(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -88(%ebp), %rax |
| vmovss -56(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -52(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| vmovdqa -144(%ebp), %xmm0 |
| vmovq %xmm0, %rax |
| vmovss -48(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -44(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -136(%ebp), %rax |
| vmovss -40(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -36(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -128(%ebp), %rax |
| vmovss -32(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -28(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| movq -120(%ebp), %rax |
| vmovss -24(%ebp), %xmm0 |
| vmovss %xmm0, (%eax) |
| vmovss -20(%ebp), %xmm0 |
| shrq $32, %rax |
| vmovss %xmm0, (%eax) |
| addl $136, %esp |
| popq %r10 |
| .cfi_def_cfa 10, 0 |
| popq %rbp |
| leal -8(%r10), %esp |
| .cfi_def_cfa 7, 8 |
| ret |
| #endif |
| END (_ZGVdN8vvv_sincosf_avx2) |
