/* Function sinf vectorized with AVX-512. KNL and SKX versions.
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
. */
#include
#include "svml_s_trig_data.h"
#include "svml_s_wrapper_impl.h"
.text
ENTRY(_ZGVeN16v_sinf_knl)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_sinf
#else
/*
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 $1280, %rsp
movq __svml_s_trig_data@GOTPCREL(%rip), %rax
/* Check for large and special values */
movl $-1, %edx
vmovups __sAbsMask(%rax), %zmm4
vmovups __sInvPI(%rax), %zmm1
/* b) Remove sign using AND operation */
vpandd %zmm4, %zmm0, %zmm12
vmovups __sPI1_FMA(%rax), %zmm2
vmovups __sA9(%rax), %zmm7
/*
f) Change destination sign if source sign is negative
using XOR operation.
*/
vpandnd %zmm0, %zmm4, %zmm11
/*
h) Subtract Y*PI from X argument, where PI divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3;
*/
vmovaps %zmm12, %zmm3
/*
c) Getting octant Y by 1/Pi multiplication
d) Add "Right Shifter" value
*/
vfmadd213ps __sRShifter(%rax), %zmm12, %zmm1
vcmpps $22, __sRangeReductionVal(%rax), %zmm12, %k1
vpbroadcastd %edx, %zmm13{%k1}{z}
/* g) Subtract "Right Shifter" value */
vsubps __sRShifter(%rax), %zmm1, %zmm5
/*
e) Treat obtained value as integer for destination sign setting.
Shift first bit of this value to the last (sign) position
*/
vpslld $31, %zmm1, %zmm6
vptestmd %zmm13, %zmm13, %k0
vfnmadd231ps %zmm5, %zmm2, %zmm3
kmovw %k0, %ecx
vfnmadd231ps __sPI2_FMA(%rax), %zmm5, %zmm3
vfnmadd132ps __sPI3_FMA(%rax), %zmm3, %zmm5
/*
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 + ......
*/
vmulps %zmm5, %zmm5, %zmm8
vpxord %zmm6, %zmm5, %zmm9
vfmadd213ps __sA7(%rax), %zmm8, %zmm7
vfmadd213ps __sA5(%rax), %zmm8, %zmm7
vfmadd213ps __sA3(%rax), %zmm8, %zmm7
vmulps %zmm8, %zmm7, %zmm10
vfmadd213ps %zmm9, %zmm9, %zmm10
/*
3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R = XOR( R, S );
*/
vpxord %zmm11, %zmm10, %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 sinf@PLT
vmovss %xmm0, 1220(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
vmovss 1152(%rsp,%r15,8), %xmm0
call sinf@PLT
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_1_7
#endif
END(_ZGVeN16v_sinf_knl)
ENTRY (_ZGVeN16v_sinf_skx)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN8v_sinf
#else
/*
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 $1280, %rsp
movq __svml_s_trig_data@GOTPCREL(%rip), %rax
/* Check for large and special values */
vmovups .L_2il0floatpacket.11(%rip), %zmm14
vmovups __sAbsMask(%rax), %zmm5
vmovups __sInvPI(%rax), %zmm1
vmovups __sRShifter(%rax), %zmm2
vmovups __sPI1_FMA(%rax), %zmm3
vmovups __sA9(%rax), %zmm8
/* b) Remove sign using AND operation */
vandps %zmm5, %zmm0, %zmm13
/*
f) Change destination sign if source sign is negative
using XOR operation.
*/
vandnps %zmm0, %zmm5, %zmm12
/*
c) Getting octant Y by 1/Pi multiplication
d) Add "Right Shifter" value
*/
vfmadd213ps %zmm2, %zmm13, %zmm1
vcmpps $18, __sRangeReductionVal(%rax), %zmm13, %k1
/*
e) Treat obtained value as integer for destination sign setting.
Shift first bit of this value to the last (sign) position
*/
vpslld $31, %zmm1, %zmm7
/* g) Subtract "Right Shifter" value */
vsubps %zmm2, %zmm1, %zmm6
/*
h) Subtract Y*PI from X argument, where PI divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3;
*/
vmovaps %zmm13, %zmm4
vfnmadd231ps %zmm6, %zmm3, %zmm4
vfnmadd231ps __sPI2_FMA(%rax), %zmm6, %zmm4
vfnmadd132ps __sPI3_FMA(%rax), %zmm4, %zmm6
/*
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 + ......
*/
vmulps %zmm6, %zmm6, %zmm9
vxorps %zmm7, %zmm6, %zmm10
vfmadd213ps __sA7(%rax), %zmm9, %zmm8
vfmadd213ps __sA5(%rax), %zmm9, %zmm8
vfmadd213ps __sA3(%rax), %zmm9, %zmm8
vmulps %zmm9, %zmm8, %zmm11
vfmadd213ps %zmm10, %zmm10, %zmm11
/*
3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R = XOR( R, S );
*/
vxorps %zmm12, %zmm11, %zmm1
vpandnd %zmm13, %zmm13, %zmm14{%k1}
vptestmd %zmm14, %zmm14, %k0
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 sinf@PLT
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 sinf@PLT
vmovss %xmm0, 1216(%rsp,%r15,8)
jmp .LBL_2_7
#endif
END (_ZGVeN16v_sinf_skx)
.section .rodata, "a"
.L_2il0floatpacket.11:
.long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff
.type .L_2il0floatpacket.11,@object