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/* Function sincosf vectorized with AVX2.
Copyright (C) 2014-2016 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(_ZGVdN8vvv_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 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 sinf@PLT
vmovss %xmm0, 324(%rsp,%r15,8)
vmovss 260(%rsp,%r15,8), %xmm0
call cosf@PLT
vmovss %xmm0, 388(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_13:
movzbl %r12b, %r15d
vmovss 256(%rsp,%r15,8), %xmm0
vzeroupper
call sinf@PLT
vmovss %xmm0, 320(%rsp,%r15,8)
vmovss 256(%rsp,%r15,8), %xmm0
call cosf@PLT
vmovss %xmm0, 384(%rsp,%r15,8)
jmp .LBL_1_7
END(_ZGVdN8vvv_sincosf_avx2)
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