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/* 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)
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