/* Function cosf vectorized with AVX-512. KNL and SKX versions.
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"
#include "svml_s_wrapper_impl.h"
.text
ENTRY (_ZGVeN16v_cosf_knl)
#ifndef HAVE_AVX512DQ_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_cosf
#else
/*
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 $1280, %rsp
movq __svml_s_trig_data@GOTPCREL(%rip), %rdx
/*
h) Subtract Y*PI from X argument, where PI divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3
*/
vmovaps %zmm0, %zmm6
movl $-1, %eax
/* b) Add Pi/2 value to argument X for Cos to Sin transformation */
vaddps __sHalfPI(%rdx), %zmm0, %zmm2
vmovups __sRShifter(%rdx), %zmm3
/*
1) Range reduction to [-Pi/2; +Pi/2] interval
c) Getting octant Y by 1/Pi multiplication
d) Add "Right Shifter" (0x4B000000) value
*/
vfmadd132ps __sInvPI(%rdx), %zmm3, %zmm2
vmovups __sPI1_FMA(%rdx), %zmm5
/* f) Subtract "Right Shifter" (0x4B000000) value */
vsubps %zmm3, %zmm2, %zmm4
vmovups __sA9_FMA(%rdx), %zmm9
/* Check for large and special arguments */
vpandd __sAbsMask(%rdx), %zmm0, %zmm1
/*
e) Treat obtained value as integer for destination sign setting.
Shift first bit of this value to the last (sign) position (S << 31)
*/
vpslld $31, %zmm2, %zmm8
vcmpps $22, __sRangeReductionVal(%rdx), %zmm1, %k1
vpbroadcastd %eax, %zmm12{%k1}{z}
/* g) Subtract 0.5 from result for octant correction */
vsubps __sOneHalf(%rdx), %zmm4, %zmm7
vptestmd %zmm12, %zmm12, %k0
vfnmadd231ps %zmm7, %zmm5, %zmm6
kmovw %k0, %ecx
vfnmadd231ps __sPI2_FMA(%rdx), %zmm7, %zmm6
vfnmadd132ps __sPI3_FMA(%rdx), %zmm6, %zmm7
/* a) Calculate X^2 = X * X */
vmulps %zmm7, %zmm7, %zmm10
/*
3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R = XOR( R, S );
*/
vpxord %zmm8, %zmm7, %zmm11
/*
b) Calculate polynomial:
R = X + X * X^2 * (A3 + x^2 * (A5 + x^2 * (A7 + x^2 * (A9))));
*/
vfmadd213ps __sA7_FMA(%rdx), %zmm10, %zmm9
vfmadd213ps __sA5_FMA(%rdx), %zmm10, %zmm9
vfmadd213ps __sA3(%rdx), %zmm10, %zmm9
vmulps %zmm10, %zmm9, %zmm1
vfmadd213ps %zmm11, %zmm11, %zmm1
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovaps %zmm1, %zmm0
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 %zmm0, 1152(%rsp)
vmovups %zmm1, 1216(%rsp)
je .LBL_1_2
xorb %dl, %dl
kmovw %k4, 1048(%rsp)
xorl %eax, %eax
kmovw %k5, 1040(%rsp)
kmovw %k6, 1032(%rsp)
kmovw %k7, 1024(%rsp)
vmovups %zmm16, 960(%rsp)
vmovups %zmm17, 896(%rsp)
vmovups %zmm18, 832(%rsp)
vmovups %zmm19, 768(%rsp)
vmovups %zmm20, 704(%rsp)
vmovups %zmm21, 640(%rsp)
vmovups %zmm22, 576(%rsp)
vmovups %zmm23, 512(%rsp)
vmovups %zmm24, 448(%rsp)
vmovups %zmm25, 384(%rsp)
vmovups %zmm26, 320(%rsp)
vmovups %zmm27, 256(%rsp)
vmovups %zmm28, 192(%rsp)
vmovups %zmm29, 128(%rsp)
vmovups %zmm30, 64(%rsp)
vmovups %zmm31, (%rsp)
movq %rsi, 1064(%rsp)
movq %rdi, 1056(%rsp)
movq %r12, 1096(%rsp)
cfi_offset_rel_rsp (12, 1096)
movb %dl, %r12b
movq %r13, 1088(%rsp)
cfi_offset_rel_rsp (13, 1088)
movl %ecx, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %eax, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
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:
addb $1, %r12b
addl $2, %r14d
cmpb $16, %r12b
jb .LBL_1_6
kmovw 1048(%rsp), %k4
movq 1064(%rsp), %rsi
kmovw 1040(%rsp), %k5
movq 1056(%rsp), %rdi
kmovw 1032(%rsp), %k6
movq 1096(%rsp), %r12
cfi_restore (%r12)
movq 1088(%rsp), %r13
cfi_restore (%r13)
kmovw 1024(%rsp), %k7
vmovups 960(%rsp), %zmm16
vmovups 896(%rsp), %zmm17
vmovups 832(%rsp), %zmm18
vmovups 768(%rsp), %zmm19
vmovups 704(%rsp), %zmm20
vmovups 640(%rsp), %zmm21
vmovups 576(%rsp), %zmm22
vmovups 512(%rsp), %zmm23
vmovups 448(%rsp), %zmm24
vmovups 384(%rsp), %zmm25
vmovups 320(%rsp), %zmm26
vmovups 256(%rsp), %zmm27
vmovups 192(%rsp), %zmm28
vmovups 128(%rsp), %zmm29
vmovups 64(%rsp), %zmm30
vmovups (%rsp), %zmm31
movq 1080(%rsp), %r14
cfi_restore (%r14)
movq 1072(%rsp), %r15
cfi_restore (%r15)
vmovups 1216(%rsp), %zmm1
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
vmovss 1156(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 1220(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
vmovss 1152(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_1_7
#endif
END (_ZGVeN16v_cosf_knl)
ENTRY (_ZGVeN16v_cosf_skx)
#ifndef HAVE_AVX512DQ_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_cosf
#else
/*
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 $1280, %rsp
movq __svml_s_trig_data@GOTPCREL(%rip), %rax
/*
h) Subtract Y*PI from X argument, where PI divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3
*/
vmovaps %zmm0, %zmm6
vmovups .L_2il0floatpacket.13(%rip), %zmm12
vmovups __sRShifter(%rax), %zmm3
vmovups __sPI1_FMA(%rax), %zmm5
vmovups __sA9_FMA(%rax), %zmm9
/* b) Add Pi/2 value to argument X for Cos to Sin transformation */
vaddps __sHalfPI(%rax), %zmm0, %zmm2
/* Check for large and special arguments */
vandps __sAbsMask(%rax), %zmm0, %zmm1
/*
1) Range reduction to [-Pi/2; +Pi/2] interval
c) Getting octant Y by 1/Pi multiplication
d) Add "Right Shifter" (0x4B000000) value
*/
vfmadd132ps __sInvPI(%rax), %zmm3, %zmm2
vcmpps $18, __sRangeReductionVal(%rax), %zmm1, %k1
/*
e) Treat obtained value as integer for destination sign setting.
Shift first bit of this value to the last (sign) position (S << 31)
*/
vpslld $31, %zmm2, %zmm8
/* f) Subtract "Right Shifter" (0x4B000000) value */
vsubps %zmm3, %zmm2, %zmm4
/* g) Subtract 0.5 from result for octant correction */
vsubps __sOneHalf(%rax), %zmm4, %zmm7
vfnmadd231ps %zmm7, %zmm5, %zmm6
vfnmadd231ps __sPI2_FMA(%rax), %zmm7, %zmm6
vfnmadd132ps __sPI3_FMA(%rax), %zmm6, %zmm7
/* a) Calculate X^2 = X * X */
vmulps %zmm7, %zmm7, %zmm10
/*
3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R = XOR( R, S );
*/
vxorps %zmm8, %zmm7, %zmm11
/*
b) Calculate polynomial:
R = X + X * X^2 * (A3 + x^2 * (A5 + x^2 * (A7 + x^2 * (A9))));
*/
vfmadd213ps __sA7_FMA(%rax), %zmm10, %zmm9
vfmadd213ps __sA5_FMA(%rax), %zmm10, %zmm9
vfmadd213ps __sA3(%rax), %zmm10, %zmm9
vpandnd %zmm1, %zmm1, %zmm12{%k1}
vmulps %zmm10, %zmm9, %zmm1
vptestmd %zmm12, %zmm12, %k0
vfmadd213ps %zmm11, %zmm11, %zmm1
kmovw %k0, %ecx
testl %ecx, %ecx
jne .LBL_2_3
.LBL_2_2:
cfi_remember_state
vmovaps %zmm1, %zmm0
movq %rbp, %rsp
cfi_def_cfa_register (%rsp)
popq %rbp
cfi_adjust_cfa_offset (-8)
cfi_restore (%rbp)
ret
.LBL_2_3:
cfi_restore_state
vmovups %zmm0, 1152(%rsp)
vmovups %zmm1, 1216(%rsp)
je .LBL_2_2
xorb %dl, %dl
xorl %eax, %eax
kmovw %k4, 1048(%rsp)
kmovw %k5, 1040(%rsp)
kmovw %k6, 1032(%rsp)
kmovw %k7, 1024(%rsp)
vmovups %zmm16, 960(%rsp)
vmovups %zmm17, 896(%rsp)
vmovups %zmm18, 832(%rsp)
vmovups %zmm19, 768(%rsp)
vmovups %zmm20, 704(%rsp)
vmovups %zmm21, 640(%rsp)
vmovups %zmm22, 576(%rsp)
vmovups %zmm23, 512(%rsp)
vmovups %zmm24, 448(%rsp)
vmovups %zmm25, 384(%rsp)
vmovups %zmm26, 320(%rsp)
vmovups %zmm27, 256(%rsp)
vmovups %zmm28, 192(%rsp)
vmovups %zmm29, 128(%rsp)
vmovups %zmm30, 64(%rsp)
vmovups %zmm31, (%rsp)
movq %rsi, 1064(%rsp)
movq %rdi, 1056(%rsp)
movq %r12, 1096(%rsp)
cfi_offset_rel_rsp (12, 1096)
movb %dl, %r12b
movq %r13, 1088(%rsp)
cfi_offset_rel_rsp (13, 1088)
movl %ecx, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %eax, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
cfi_remember_state
.LBL_2_6:
btl %r14d, %r13d
jc .LBL_2_12
.LBL_2_7:
lea 1(%r14), %esi
btl %esi, %r13d
jc .LBL_2_10
.LBL_2_8:
incb %r12b
addl $2, %r14d
cmpb $16, %r12b
jb .LBL_2_6
kmovw 1048(%rsp), %k4
kmovw 1040(%rsp), %k5
kmovw 1032(%rsp), %k6
kmovw 1024(%rsp), %k7
vmovups 960(%rsp), %zmm16
vmovups 896(%rsp), %zmm17
vmovups 832(%rsp), %zmm18
vmovups 768(%rsp), %zmm19
vmovups 704(%rsp), %zmm20
vmovups 640(%rsp), %zmm21
vmovups 576(%rsp), %zmm22
vmovups 512(%rsp), %zmm23
vmovups 448(%rsp), %zmm24
vmovups 384(%rsp), %zmm25
vmovups 320(%rsp), %zmm26
vmovups 256(%rsp), %zmm27
vmovups 192(%rsp), %zmm28
vmovups 128(%rsp), %zmm29
vmovups 64(%rsp), %zmm30
vmovups (%rsp), %zmm31
vmovups 1216(%rsp), %zmm1
movq 1064(%rsp), %rsi
movq 1056(%rsp), %rdi
movq 1096(%rsp), %r12
cfi_restore (%r12)
movq 1088(%rsp), %r13
cfi_restore (%r13)
movq 1080(%rsp), %r14
cfi_restore (%r14)
movq 1072(%rsp), %r15
cfi_restore (%r15)
jmp .LBL_2_2
.LBL_2_10:
cfi_restore_state
movzbl %r12b, %r15d
vmovss 1156(%rsp,%r15,8), %xmm0
vzeroupper
vmovss 1156(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 1220(%rsp,%r15,8)
jmp .LBL_2_8
.LBL_2_12:
movzbl %r12b, %r15d
vmovss 1152(%rsp,%r15,8), %xmm0
vzeroupper
vmovss 1152(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_2_7
#endif
END (_ZGVeN16v_cosf_skx)
.section .rodata, "a"
.L_2il0floatpacket.13:
.long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff
.type .L_2il0floatpacket.13,@object