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/* Function sincos vectorized with AVX2.
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
<http://www.gnu.org/licenses/>. */
#include <sysdep.h>
#include "svml_d_trig_data.h"
.text
ENTRY (_ZGVdN4vvv_sincos_avx2)
/*
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. */
pushq %rbp
cfi_adjust_cfa_offset (8)
cfi_rel_offset (%rbp, 0)
movq %rsp, %rbp
cfi_def_cfa_register (%rbp)
andq $-64, %rsp
subq $448, %rsp
movq __svml_d_trig_data@GOTPCREL(%rip), %rax
vmovups %ymm14, 288(%rsp)
vmovups %ymm8, 352(%rsp)
vmovupd __dSignMask(%rax), %ymm6
vmovupd __dInvPI(%rax), %ymm2
vmovupd __dPI1_FMA(%rax), %ymm5
vmovups %ymm9, 224(%rsp)
/* ARGUMENT RANGE REDUCTION:
Absolute argument: X' = |X| */
vandnpd %ymm0, %ymm6, %ymm1
/* SinY = X'*InvPi + RS : right shifter add */
vfmadd213pd __dRShifter(%rax), %ymm1, %ymm2
/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
vpsllq $63, %ymm2, %ymm4
/* SinN = Y - RS : right shifter sub */
vsubpd __dRShifter(%rax), %ymm2, %ymm2
/* SinR = X' - SinN*Pi1 */
vmovdqa %ymm1, %ymm14
vfnmadd231pd %ymm2, %ymm5, %ymm14
/* SinR = SinR - SinN*Pi1 */
vfnmadd231pd __dPI2_FMA(%rax), %ymm2, %ymm14
/* Sine result sign: SinRSign = SignMask & SinR */
vandpd %ymm14, %ymm6, %ymm7
/* Set SinRSign to 0.5 */
vorpd __dOneHalf(%rax), %ymm7, %ymm3
/* CosN = SinN +(-)0.5 */
vaddpd %ymm3, %ymm2, %ymm3
/* CosR = SinX - CosN*Pi1 */
vmovdqa %ymm1, %ymm8
vfnmadd231pd %ymm3, %ymm5, %ymm8
vmovupd __dPI3_FMA(%rax), %ymm5
vcmpnle_uqpd __dRangeVal(%rax), %ymm1, %ymm1
/* CosR = CosR - CosN*Pi2 */
vfnmadd231pd __dPI2_FMA(%rax), %ymm3, %ymm8
/* SinR = SinR - SinN*Pi3 */
vfnmadd213pd %ymm14, %ymm5, %ymm2
/* CosR = CosR - CosN*Pi3 */
vfnmadd213pd %ymm8, %ymm5, %ymm3
vmovupd __dC6(%rax), %ymm8
/* SinR2 = SinR^2 */
vmulpd %ymm2, %ymm2, %ymm14
/* CosR2 = CosR^2 */
vmulpd %ymm3, %ymm3, %ymm5
/* Grab SignX */
vandpd %ymm0, %ymm6, %ymm9
/* Update CosRSign and CosSignRes signs */
vxorpd %ymm6, %ymm7, %ymm6
vxorpd %ymm6, %ymm4, %ymm7
/* Update sign SinSignRes */
vxorpd %ymm9, %ymm4, %ymm6
/* Polynomial approximation */
vmovupd __dC7(%rax), %ymm4
vmovdqa %ymm8, %ymm9
vfmadd231pd __dC7(%rax), %ymm14, %ymm9
vfmadd213pd %ymm8, %ymm5, %ymm4
vfmadd213pd __dC5(%rax), %ymm14, %ymm9
vfmadd213pd __dC5(%rax), %ymm5, %ymm4
vfmadd213pd __dC4(%rax), %ymm14, %ymm9
vfmadd213pd __dC4(%rax), %ymm5, %ymm4
/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
vfmadd213pd __dC3(%rax), %ymm14, %ymm9
/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
vfmadd213pd __dC3(%rax), %ymm5, %ymm4
/* SinPoly = C2 + SinR2*SinPoly */
vfmadd213pd __dC2(%rax), %ymm14, %ymm9
/* CosPoly = C2 + CosR2*CosPoly */
vfmadd213pd __dC2(%rax), %ymm5, %ymm4
/* SinPoly = C1 + SinR2*SinPoly */
vfmadd213pd __dC1(%rax), %ymm14, %ymm9
/* CosPoly = C1 + CosR2*CosPoly */
vfmadd213pd __dC1(%rax), %ymm5, %ymm4
/* SinPoly = SinR2*SinPoly */
vmulpd %ymm14, %ymm9, %ymm8
/* CosPoly = CosR2*CosPoly */
vmulpd %ymm5, %ymm4, %ymm4
/* SinPoly = SinR*SinPoly */
vfmadd213pd %ymm2, %ymm2, %ymm8
/* CosPoly = CosR*CosPoly */
vfmadd213pd %ymm3, %ymm3, %ymm4
vmovmskpd %ymm1, %ecx
/* Final reconstruction
Update Sin result's sign */
vxorpd %ymm6, %ymm8, %ymm3
/* Update Cos result's sign */
vxorpd %ymm7, %ymm4, %ymm2
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovups 352(%rsp), %ymm8
vmovups 224(%rsp), %ymm9
vmovups 288(%rsp), %ymm14
vmovupd %ymm2, (%rsi)
vmovdqa %ymm3, (%rdi)
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
vmovupd %ymm0, 256(%rsp)
vmovupd %ymm3, 320(%rsp)
vmovupd %ymm2, 384(%rsp)
je .LBL_1_2
xorb %dl, %dl
xorl %eax, %eax
vmovups %ymm10, 128(%rsp)
vmovups %ymm11, 96(%rsp)
vmovups %ymm12, 64(%rsp)
vmovups %ymm13, 32(%rsp)
vmovups %ymm15, (%rsp)
movq %rsi, 160(%rsp)
movq %r12, 200(%rsp)
cfi_offset_rel_rsp (12, 200)
movb %dl, %r12b
movq %r13, 192(%rsp)
cfi_offset_rel_rsp (13, 192)
movl %eax, %r13d
movq %r14, 184(%rsp)
cfi_offset_rel_rsp (14, 184)
movl %ecx, %r14d
movq %r15, 176(%rsp)
cfi_offset_rel_rsp (15, 176)
movq %rbx, 168(%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:
incb %r12b
addl $2, %r13d
cmpb $16, %r12b
jb .LBL_1_6
vmovups 128(%rsp), %ymm10
movq %rbx, %rdi
vmovups 96(%rsp), %ymm11
vmovups 64(%rsp), %ymm12
vmovups 32(%rsp), %ymm13
vmovups (%rsp), %ymm15
vmovupd 320(%rsp), %ymm3
vmovupd 384(%rsp), %ymm2
movq 160(%rsp), %rsi
movq 200(%rsp), %r12
cfi_restore (%r12)
movq 192(%rsp), %r13
cfi_restore (%r13)
movq 184(%rsp), %r14
cfi_restore (%r14)
movq 176(%rsp), %r15
cfi_restore (%r15)
movq 168(%rsp), %rbx
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 264(%rsp,%r15), %xmm0
vzeroupper
call sin@PLT
vmovsd %xmm0, 328(%rsp,%r15)
vmovsd 264(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 392(%rsp,%r15)
jmp .LBL_1_8
.LBL_1_13:
movzbl %r12b, %r15d
shlq $4, %r15
vmovsd 256(%rsp,%r15), %xmm0
vzeroupper
call sin@PLT
vmovsd %xmm0, 320(%rsp,%r15)
vmovsd 256(%rsp,%r15), %xmm0
call cos@PLT
vmovsd %xmm0, 384(%rsp,%r15)
jmp .LBL_1_7
END (_ZGVdN4vvv_sincos_avx2)
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