/* Function sincos 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_d_trig_data.h"
#include "svml_d_wrapper_impl.h"
/*
ALGORITHM DESCRIPTION:
( low accuracy ( < 4ulp ) or enhanced performance
( half of correct mantissa ) implementation )
Argument representation:
arg = N*Pi + R
Result calculation:
sin(arg) = sin(N*Pi + R) = (-1)^N * sin(R)
arg + Pi/2 = (N'*Pi + R')
cos(arg) = sin(arg+Pi/2) = sin(N'*Pi + R') = (-1)^N' * sin(R')
sin(R), sin(R') are approximated by corresponding polynomial. */
.text
ENTRY (_ZGVeN8vvv_sincos_knl)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512_fFF _ZGVdN4vvv_sincos
#else
pushq %rbp
cfi_adjust_cfa_offset (8)
cfi_rel_offset (%rbp, 0)
movq %rsp, %rbp
cfi_def_cfa_register (%rbp)
andq $-64, %rsp
subq $1344, %rsp
movq __svml_d_trig_data@GOTPCREL(%rip), %rax
vmovaps %zmm0, %zmm4
movq $-1, %rdx
vmovups __dSignMask(%rax), %zmm12
vmovups __dInvPI(%rax), %zmm5
/* ARGUMENT RANGE REDUCTION:
Absolute argument: X' = |X| */
vpandnq %zmm4, %zmm12, %zmm3
vmovups __dPI1_FMA(%rax), %zmm7
vmovups __dPI3_FMA(%rax), %zmm9
/* SinR = X' - SinN*Pi1 */
vmovaps %zmm3, %zmm8
/* CosR = SinX - CosN*Pi1 */
vmovaps %zmm3, %zmm10
/* SinY = X'*InvPi + RS : right shifter add */
vfmadd213pd __dRShifter(%rax), %zmm3, %zmm5
vmovups __dC6(%rax), %zmm13
/* SinN = Y - RS : right shifter sub */
vsubpd __dRShifter(%rax), %zmm5, %zmm1
vmovaps %zmm13, %zmm14
/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
vpsllq $63, %zmm5, %zmm2
vcmppd $22, __dRangeVal(%rax), %zmm3, %k1
/* Update CosRSign and CosSignRes signs */
vmovaps %zmm12, %zmm5
vfnmadd231pd %zmm1, %zmm7, %zmm8
/* SinR = SinR - SinN*Pi1 */
vfnmadd231pd __dPI2_FMA(%rax), %zmm1, %zmm8
/* Sine result sign: SinRSign = SignMask & SinR */
vpandq %zmm8, %zmm12, %zmm11
/* Set SinRSign to 0.5 */
vporq __dOneHalf(%rax), %zmm11, %zmm6
vpternlogq $150, %zmm2, %zmm11, %zmm5
/* Update sign SinSignRes */
vpternlogq $120, %zmm4, %zmm12, %zmm2
/* Polynomial approximation */
vmovups __dC7(%rax), %zmm11
/* CosN = SinN +(-)0.5 */
vaddpd %zmm6, %zmm1, %zmm0
/* SinR = SinR - SinN*Pi3 */
vfnmadd213pd %zmm8, %zmm9, %zmm1
vfnmadd231pd %zmm0, %zmm7, %zmm10
/* SinR2 = SinR^2 */
vmulpd %zmm1, %zmm1, %zmm15
/* Grab SignX
CosR = CosR - CosN*Pi2 */
vfnmadd231pd __dPI2_FMA(%rax), %zmm0, %zmm10
vfmadd231pd __dC7(%rax), %zmm15, %zmm14
/* CosR = CosR - CosN*Pi3 */
vfnmadd213pd %zmm10, %zmm9, %zmm0
vfmadd213pd __dC5(%rax), %zmm15, %zmm14
/* CosR2 = CosR^2 */
vmulpd %zmm0, %zmm0, %zmm12
vfmadd213pd __dC4(%rax), %zmm15, %zmm14
vfmadd213pd %zmm13, %zmm12, %zmm11
/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
vfmadd213pd __dC3(%rax), %zmm15, %zmm14
vfmadd213pd __dC5(%rax), %zmm12, %zmm11
/* SinPoly = C2 + SinR2*SinPoly */
vfmadd213pd __dC2(%rax), %zmm15, %zmm14
vfmadd213pd __dC4(%rax), %zmm12, %zmm11
/* SinPoly = C1 + SinR2*SinPoly */
vfmadd213pd __dC1(%rax), %zmm15, %zmm14
/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
vfmadd213pd __dC3(%rax), %zmm12, %zmm11
/* SinPoly = SinR2*SinPoly */
vmulpd %zmm15, %zmm14, %zmm13
/* CosPoly = C2 + CosR2*CosPoly */
vfmadd213pd __dC2(%rax), %zmm12, %zmm11
/* SinPoly = SinR*SinPoly */
vfmadd213pd %zmm1, %zmm1, %zmm13
vpbroadcastq %rdx, %zmm1{%k1}{z}
/* CosPoly = C1 + CosR2*CosPoly */
vfmadd213pd __dC1(%rax), %zmm12, %zmm11
vptestmq %zmm1, %zmm1, %k0
kmovw %k0, %ecx
/* CosPoly = CosR2*CosPoly */
vmulpd %zmm12, %zmm11, %zmm14
movzbl %cl, %ecx
/* CosPoly = CosR*CosPoly */
vfmadd213pd %zmm0, %zmm0, %zmm14
/* Final reconstruction.
Update Sin result's sign */
vpxorq %zmm2, %zmm13, %zmm0
/* Update Cos result's sign */
vpxorq %zmm5, %zmm14, %zmm2
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovups %zmm0, (%rdi)
vmovups %zmm2, (%rsi)
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 %zmm4, 1152(%rsp)
vmovups %zmm0, 1216(%rsp)
vmovups %zmm2, 1280(%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, 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 %eax, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %ecx, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
movq %rbx, 1064(%rsp)
movq %rdi, %rbx
cfi_remember_state
.LBL_1_6:
btl %r13d, %r14d
jc .LBL_1_13
.LBL_1_7:
lea 1(%r13), %esi
btl %esi, %r14d
jc .LBL_1_10
.LBL_1_8:
addb $1, %r12b
addl $2, %r13d
cmpb $16, %r12b
jb .LBL_1_6
movq %rbx, %rdi
kmovw 1048(%rsp), %k4
movq 1056(%rsp), %rsi
kmovw 1040(%rsp), %k5
movq 1096(%rsp), %r12
cfi_restore (%r12)
kmovw 1032(%rsp), %k6
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)
movq 1064(%rsp), %rbx
vmovups 1216(%rsp), %zmm0
vmovups 1280(%rsp), %zmm2
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1160(%rsp,%r15), %xmm0
call sin@PLT
vmovsd %xmm0, 1224(%rsp,%r15)
vmovsd 1160(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1288(%rsp,%r15)
jmp .LBL_1_8
.LBL_1_13:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
call sin@PLT
vmovsd %xmm0, 1216(%rsp,%r15)
vmovsd 1152(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1280(%rsp,%r15)
jmp .LBL_1_7
#endif
END (_ZGVeN8vvv_sincos_knl)
ENTRY (_ZGVeN8vvv_sincos_skx)
#ifndef HAVE_AVX512_ASM_SUPPORT
WRAPPER_IMPL_AVX512_fFF _ZGVdN4vvv_sincos
#else
pushq %rbp
cfi_adjust_cfa_offset (8)
cfi_rel_offset (%rbp, 0)
movq %rsp, %rbp
cfi_def_cfa_register (%rbp)
andq $-64, %rsp
subq $1344, %rsp
movq __svml_d_trig_data@GOTPCREL(%rip), %rax
vmovaps %zmm0, %zmm8
vmovups __dSignMask(%rax), %zmm4
vmovups __dInvPI(%rax), %zmm9
vmovups __dRShifter(%rax), %zmm10
vmovups __dPI1_FMA(%rax), %zmm13
vmovups __dPI2_FMA(%rax), %zmm14
vmovups __dOneHalf(%rax), %zmm11
vmovups __dPI3_FMA(%rax), %zmm2
/* ARGUMENT RANGE REDUCTION:
Absolute argument: X' = |X| */
vandnpd %zmm8, %zmm4, %zmm7
/* SinY = X'*InvPi + RS : right shifter add */
vfmadd213pd %zmm10, %zmm7, %zmm9
vcmppd $18, __dRangeVal(%rax), %zmm7, %k1
/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
vpsllq $63, %zmm9, %zmm6
/* SinN = Y - RS : right shifter sub */
vsubpd %zmm10, %zmm9, %zmm5
vmovups __dC5(%rax), %zmm9
vmovups __dC4(%rax), %zmm10
/* SinR = X' - SinN*Pi1 */
vmovaps %zmm7, %zmm15
vfnmadd231pd %zmm5, %zmm13, %zmm15
/* SinR = SinR - SinN*Pi1 */
vfnmadd231pd %zmm5, %zmm14, %zmm15
/* Sine result sign: SinRSign = SignMask & SinR */
vandpd %zmm15, %zmm4, %zmm1
/* Set SinRSign to 0.5 */
vorpd %zmm1, %zmm11, %zmm12
vmovups __dC3(%rax), %zmm11
/* CosN = SinN +(-)0.5 */
vaddpd %zmm12, %zmm5, %zmm3
/* SinR = SinR - SinN*Pi3 */
vfnmadd213pd %zmm15, %zmm2, %zmm5
vmovups __dC2(%rax), %zmm12
/* SinR2 = SinR^2 */
vmulpd %zmm5, %zmm5, %zmm15
/* CosR = SinX - CosN*Pi1 */
vmovaps %zmm7, %zmm0
vfnmadd231pd %zmm3, %zmm13, %zmm0
vmovups __dC1(%rax), %zmm13
/* Grab SignX
CosR = CosR - CosN*Pi2 */
vfnmadd231pd %zmm3, %zmm14, %zmm0
/* CosR = CosR - CosN*Pi3 */
vfnmadd213pd %zmm0, %zmm2, %zmm3
/* Polynomial approximation */
vmovups __dC7(%rax), %zmm0
/* Update CosRSign and CosSignRes signs */
vmovaps %zmm4, %zmm2
vpternlogq $150, %zmm6, %zmm1, %zmm2
/* Update sign SinSignRes */
vpternlogq $120, %zmm8, %zmm4, %zmm6
/* CosR2 = CosR^2 */
vmulpd %zmm3, %zmm3, %zmm1
vmovups __dC6(%rax), %zmm4
vmovaps %zmm0, %zmm14
vfmadd213pd %zmm4, %zmm1, %zmm0
vfmadd213pd %zmm4, %zmm15, %zmm14
vfmadd213pd %zmm9, %zmm1, %zmm0
vfmadd213pd %zmm9, %zmm15, %zmm14
vfmadd213pd %zmm10, %zmm1, %zmm0
vfmadd213pd %zmm10, %zmm15, %zmm14
/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
vfmadd213pd %zmm11, %zmm1, %zmm0
/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
vfmadd213pd %zmm11, %zmm15, %zmm14
/* CosPoly = C2 + CosR2*CosPoly */
vfmadd213pd %zmm12, %zmm1, %zmm0
/* SinPoly = C2 + SinR2*SinPoly */
vfmadd213pd %zmm12, %zmm15, %zmm14
/* CosPoly = C1 + CosR2*CosPoly */
vfmadd213pd %zmm13, %zmm1, %zmm0
/* SinPoly = C1 + SinR2*SinPoly */
vfmadd213pd %zmm13, %zmm15, %zmm14
/* CosPoly = CosR2*CosPoly */
vmulpd %zmm1, %zmm0, %zmm1
/* SinPoly = SinR2*SinPoly */
vmulpd %zmm15, %zmm14, %zmm4
/* CosPoly = CosR*CosPoly */
vfmadd213pd %zmm3, %zmm3, %zmm1
/* SinPoly = SinR*SinPoly */
vfmadd213pd %zmm5, %zmm5, %zmm4
vpbroadcastq .L_2il0floatpacket.15(%rip), %zmm3
/* Update Cos result's sign */
vxorpd %zmm2, %zmm1, %zmm1
/* Final reconstruction.
Update Sin result's sign */
vxorpd %zmm6, %zmm4, %zmm0
vpandnq %zmm7, %zmm7, %zmm3{%k1}
vcmppd $3, %zmm3, %zmm3, %k0
kmovw %k0, %ecx
testl %ecx, %ecx
jne .LBL_2_3
.LBL_2_2:
cfi_remember_state
vmovups %zmm0, (%rdi)
vmovups %zmm1, (%rsi)
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 %zmm8, 1152(%rsp)
vmovups %zmm0, 1216(%rsp)
vmovups %zmm1, 1280(%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, 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 %eax, %r13d
movq %r14, 1080(%rsp)
cfi_offset_rel_rsp (14, 1080)
movl %ecx, %r14d
movq %r15, 1072(%rsp)
cfi_offset_rel_rsp (15, 1072)
movq %rbx, 1064(%rsp)
movq %rdi, %rbx
cfi_remember_state
.LBL_2_6:
btl %r13d, %r14d
jc .LBL_2_13
.LBL_2_7:
lea 1(%r13), %esi
btl %esi, %r14d
jc .LBL_2_10
.LBL_2_8:
incb %r12b
addl $2, %r13d
cmpb $16, %r12b
jb .LBL_2_6
kmovw 1048(%rsp), %k4
movq %rbx, %rdi
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), %zmm0
vmovups 1280(%rsp), %zmm1
movq 1056(%rsp), %rsi
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)
movq 1064(%rsp), %rbx
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 sin@PLT
vmovsd %xmm0, 1224(%rsp,%r15)
vmovsd 1160(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1288(%rsp,%r15)
jmp .LBL_2_8
.LBL_2_13:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 1152(%rsp,%r15), %xmm0
vzeroupper
vmovsd 1152(%rsp,%r15), %xmm0
call sin@PLT
vmovsd %xmm0, 1216(%rsp,%r15)
vmovsd 1152(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 1280(%rsp,%r15)
jmp .LBL_2_7
#endif
END (_ZGVeN8vvv_sincos_skx)
.section .rodata, "a"
.L_2il0floatpacket.15:
.long 0xffffffff,0xffffffff
.type .L_2il0floatpacket.15,@object