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/* Function sinf 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_sinf_sse4)
/*
ALGORITHM DESCRIPTION:
1) Range reduction to [-Pi/2; +Pi/2] interval
a) Grab sign from source argument and save it.
b) Remove sign using AND operation
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) Change destination sign if source sign is negative
using XOR operation.
g) Subtract "Right Shifter" value
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, %xmm5
movq __svml_s_trig_data@GOTPCREL(%rip), %rax
movups __sAbsMask(%rax), %xmm2
/* b) Remove sign using AND operation */
movaps %xmm2, %xmm4
/*
f) Change destination sign if source sign is negative
using XOR operation.
*/
andnps %xmm5, %xmm2
movups __sInvPI(%rax), %xmm1
andps %xmm5, %xmm4
/* c) Getting octant Y by 1/Pi multiplication
d) Add "Right Shifter" value */
mulps %xmm4, %xmm1
/* h) Subtract Y*PI from X argument, where PI divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4 */
movaps %xmm4, %xmm0
/* Check for large and special values */
cmpnleps __sRangeReductionVal(%rax), %xmm4
movups __sRShifter(%rax), %xmm6
movups __sPI1(%rax), %xmm7
addps %xmm6, %xmm1
movmskps %xmm4, %ecx
/* e) Treat obtained value as integer for destination sign setting.
Shift first bit of this value to the last (sign) position */
movaps %xmm1, %xmm3
/* g) Subtract "Right Shifter" value */
subps %xmm6, %xmm1
mulps %xmm1, %xmm7
pslld $31, %xmm3
movups __sPI2(%rax), %xmm6
subps %xmm7, %xmm0
mulps %xmm1, %xmm6
movups __sPI3(%rax), %xmm7
subps %xmm6, %xmm0
mulps %xmm1, %xmm7
movups __sPI4(%rax), %xmm6
subps %xmm7, %xmm0
mulps %xmm6, %xmm1
subps %xmm1, %xmm0
/* 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 + ...... */
movaps %xmm0, %xmm1
mulps %xmm0, %xmm1
xorps %xmm3, %xmm0
movups __sA9(%rax), %xmm3
mulps %xmm1, %xmm3
addps __sA7(%rax), %xmm3
mulps %xmm1, %xmm3
addps __sA5(%rax), %xmm3
mulps %xmm1, %xmm3
addps __sA3(%rax), %xmm3
mulps %xmm3, %xmm1
mulps %xmm0, %xmm1
addps %xmm1, %xmm0
/* 3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R = XOR( R, S ); */
xorps %xmm2, %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 %xmm5, 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(sinf)
movss %xmm0, 260(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
movss 192(%rsp,%r15,8), %xmm0
call JUMPTARGET(sinf)
movss %xmm0, 256(%rsp,%r15,8)
jmp .LBL_1_7
END(_ZGVbN4v_sinf_sse4)
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