/* Function cos vectorized with AVX-512, KNL and SKX versions.
Copyright (C) 2014-2015 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_d_trig_data.h"
#include "svml_d_wrapper_impl.h"
.text
ENTRY (_ZGVeN8v_cos_knl)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN4v_cos
#else
/*
ALGORITHM DESCRIPTION:
( low accuracy ( < 4ulp ) or enhanced performance
( half of correct mantissa ) implementation )
Argument representation:
arg + Pi/2 = (N*Pi + R)
Result calculation:
cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R)
sin(R) is approximated by corresponding polynomial
*/
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_d_trig_data@GOTPCREL(%rip), %rax
/* R = X - N*Pi1 */
vmovaps %zmm0, %zmm7
/* Check for large arguments path */
movq $-1, %rcx
/*
ARGUMENT RANGE REDUCTION:
Add Pi/2 to argument: X' = X+Pi/2
*/
vaddpd __dHalfPI(%rax), %zmm0, %zmm5
vmovups __dInvPI(%rax), %zmm3
/* Get absolute argument value: X' = |X'| */
vpandq __dAbsMask(%rax), %zmm5, %zmm1
/* Y = X'*InvPi + RS : right shifter add */
vfmadd213pd __dRShifter(%rax), %zmm3, %zmm5
vmovups __dPI1_FMA(%rax), %zmm6
/* N = Y - RS : right shifter sub */
vsubpd __dRShifter(%rax), %zmm5, %zmm4
/* SignRes = Y<<63 : shift LSB to MSB place for result sign */
vpsllq $63, %zmm5, %zmm12
vmovups __dC7(%rax), %zmm8
/* N = N - 0.5 */
vsubpd __dOneHalf(%rax), %zmm4, %zmm10
vcmppd $22, __dRangeVal(%rax), %zmm1, %k1
vpbroadcastq %rcx, %zmm2{%k1}{z}
vfnmadd231pd %zmm10, %zmm6, %zmm7
vptestmq %zmm2, %zmm2, %k0
/* R = R - N*Pi2 */
vfnmadd231pd __dPI2_FMA(%rax), %zmm10, %zmm7
kmovw %k0, %ecx
movzbl %cl, %ecx
/* R = R - N*Pi3 */
vfnmadd132pd __dPI3_FMA(%rax), %zmm7, %zmm10
/*
POLYNOMIAL APPROXIMATION:
R2 = R*R
*/
vmulpd %zmm10, %zmm10, %zmm9
vfmadd213pd __dC6(%rax), %zmm9, %zmm8
vfmadd213pd __dC5(%rax), %zmm9, %zmm8
vfmadd213pd __dC4(%rax), %zmm9, %zmm8
/* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */
vfmadd213pd __dC3(%rax), %zmm9, %zmm8
/* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */
vfmadd213pd __dC2(%rax), %zmm9, %zmm8
vfmadd213pd __dC1(%rax), %zmm9, %zmm8
vmulpd %zmm9, %zmm8, %zmm11
vfmadd213pd %zmm10, %zmm10, %zmm11
/*
RECONSTRUCTION:
Final sign setting: Res = Poly^SignRes
*/
vpxorq %zmm12, %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
shlq $4, %r15
vmovsd 1160(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1224(%rsp,%r15)
jmp .LBL_1_8
.LBL_1_12:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1216(%rsp,%r15)
jmp .LBL_1_7
#endif
END (_ZGVeN8v_cos_knl)
ENTRY (_ZGVeN8v_cos_skx)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512 _ZGVdN4v_cos
#else
/*
ALGORITHM DESCRIPTION:
( low accuracy ( < 4ulp ) or enhanced performance
( half of correct mantissa ) implementation )
Argument representation:
arg + Pi/2 = (N*Pi + R)
Result calculation:
cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R)
sin(R) is approximated by corresponding polynomial
*/
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_d_trig_data@GOTPCREL(%rip), %rax
/* R = X - N*Pi1 */
vmovaps %zmm0, %zmm8
/* Check for large arguments path */
vpbroadcastq .L_2il0floatpacket.16(%rip), %zmm2
/*
ARGUMENT RANGE REDUCTION:
Add Pi/2 to argument: X' = X+Pi/2
*/
vaddpd __dHalfPI(%rax), %zmm0, %zmm6
vmovups __dInvPI(%rax), %zmm3
vmovups __dRShifter(%rax), %zmm4
vmovups __dPI1_FMA(%rax), %zmm7
vmovups __dC7(%rax), %zmm9
/* Get absolute argument value: X' = |X'| */
vandpd __dAbsMask(%rax), %zmm6, %zmm1
/* Y = X'*InvPi + RS : right shifter add */
vfmadd213pd %zmm4, %zmm3, %zmm6
vcmppd $18, __dRangeVal(%rax), %zmm1, %k1
/* SignRes = Y<<63 : shift LSB to MSB place for result sign */
vpsllq $63, %zmm6, %zmm13
/* N = Y - RS : right shifter sub */
vsubpd %zmm4, %zmm6, %zmm5
/* N = N - 0.5 */
vsubpd __dOneHalf(%rax), %zmm5, %zmm11
vfnmadd231pd %zmm11, %zmm7, %zmm8
/* R = R - N*Pi2 */
vfnmadd231pd __dPI2_FMA(%rax), %zmm11, %zmm8
/* R = R - N*Pi3 */
vfnmadd132pd __dPI3_FMA(%rax), %zmm8, %zmm11
/*
POLYNOMIAL APPROXIMATION:
R2 = R*R
*/
vmulpd %zmm11, %zmm11, %zmm10
vfmadd213pd __dC6(%rax), %zmm10, %zmm9
vfmadd213pd __dC5(%rax), %zmm10, %zmm9
vfmadd213pd __dC4(%rax), %zmm10, %zmm9
/* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */
vfmadd213pd __dC3(%rax), %zmm10, %zmm9
/* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */
vfmadd213pd __dC2(%rax), %zmm10, %zmm9
vfmadd213pd __dC1(%rax), %zmm10, %zmm9
vmulpd %zmm10, %zmm9, %zmm12
vfmadd213pd %zmm11, %zmm11, %zmm12
vpandnq %zmm1, %zmm1, %zmm2{%k1}
vcmppd $3, %zmm2, %zmm2, %k0
/*
RECONSTRUCTION:
Final sign setting: Res = Poly^SignRes
*/
vxorpd %zmm13, %zmm12, %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
shlq $4, %r15
vmovsd 1160(%rsp,%r15), %xmm0
vzeroupper
vmovsd 1160(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1224(%rsp,%r15)
jmp .LBL_2_8
.LBL_2_12:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
vzeroupper
vmovsd 1152(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1216(%rsp,%r15)
jmp .LBL_2_7
#endif
END (_ZGVeN8v_cos_skx)
.section .rodata, "a"
.L_2il0floatpacket.16:
.long 0xffffffff,0xffffffff
.type .L_2il0floatpacket.16,@object