/* Function sincos vectorized with SSE4.
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"
.text
ENTRY (_ZGVbN2vvv_sincos_sse4)
/*
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 $320, %rsp
movq __svml_d_trig_data@GOTPCREL(%rip), %rax
movups %xmm11, 160(%rsp)
movups %xmm12, 144(%rsp)
movups __dSignMask(%rax), %xmm11
/* ARGUMENT RANGE REDUCTION:
Absolute argument: X' = |X| */
movaps %xmm11, %xmm4
/* Grab sign bit from argument */
movaps %xmm11, %xmm7
movups __dInvPI(%rax), %xmm5
andnps %xmm0, %xmm4
/* SinY = X'*InvPi + RS : right shifter add */
mulpd %xmm4, %xmm5
addpd __dRShifter(%rax), %xmm5
/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
movaps %xmm5, %xmm12
andps %xmm0, %xmm7
/* SinN = Y - RS : right shifter sub */
subpd __dRShifter(%rax), %xmm5
movups %xmm10, 176(%rsp)
psllq $63, %xmm12
movups __dPI1(%rax), %xmm10
/* SinR = X' - SinN*Pi1 */
movaps %xmm10, %xmm1
mulpd %xmm5, %xmm1
movups __dPI2(%rax), %xmm6
/* SinR = SinR - SinN*Pi1 */
movaps %xmm6, %xmm2
mulpd %xmm5, %xmm2
movups %xmm13, 112(%rsp)
movaps %xmm4, %xmm13
subpd %xmm1, %xmm13
subpd %xmm2, %xmm13
/* Sine result sign: SinRSign = SignMask & SinR */
movaps %xmm11, %xmm2
/* CosR = SinX - CosN*Pi1 */
movaps %xmm4, %xmm1
movups __dOneHalf(%rax), %xmm3
andps %xmm13, %xmm2
/* Set SinRSign to 0.5 */
orps %xmm2, %xmm3
/* Update CosRSign and CosSignRes signs */
xorps %xmm11, %xmm2
/* CosN = SinN +(-)0.5 */
addpd %xmm5, %xmm3
cmpnlepd __dRangeVal(%rax), %xmm4
mulpd %xmm3, %xmm10
/* CosR = CosR - CosN*Pi2 */
mulpd %xmm3, %xmm6
subpd %xmm10, %xmm1
movmskpd %xmm4, %ecx
movups __dPI3(%rax), %xmm10
xorps %xmm12, %xmm2
subpd %xmm6, %xmm1
/* SinR = SinR - SinN*Pi3 */
movaps %xmm10, %xmm6
/* Final reconstruction.
Combine Sin result's sign */
xorps %xmm7, %xmm12
mulpd %xmm5, %xmm6
/* CosR = CosR - CosN*Pi3 */
mulpd %xmm3, %xmm10
subpd %xmm6, %xmm13
subpd %xmm10, %xmm1
movups __dPI4(%rax), %xmm6
/* SinR = SinR - SinN*Pi4 */
mulpd %xmm6, %xmm5
/* CosR = CosR - CosN*Pi4 */
mulpd %xmm6, %xmm3
subpd %xmm5, %xmm13
subpd %xmm3, %xmm1
/* SinR2 = SinR^2 */
movaps %xmm13, %xmm6
/* CosR2 = CosR^2 */
movaps %xmm1, %xmm10
mulpd %xmm13, %xmm6
mulpd %xmm1, %xmm10
/* Polynomial approximation */
movups __dC7(%rax), %xmm5
movaps %xmm5, %xmm3
mulpd %xmm6, %xmm3
mulpd %xmm10, %xmm5
addpd __dC6(%rax), %xmm3
addpd __dC6(%rax), %xmm5
mulpd %xmm6, %xmm3
mulpd %xmm10, %xmm5
addpd __dC5(%rax), %xmm3
addpd __dC5(%rax), %xmm5
mulpd %xmm6, %xmm3
mulpd %xmm10, %xmm5
addpd __dC4(%rax), %xmm3
addpd __dC4(%rax), %xmm5
/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
mulpd %xmm6, %xmm3
/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
mulpd %xmm10, %xmm5
addpd __dC3(%rax), %xmm3
addpd __dC3(%rax), %xmm5
/* SinPoly = C2 + SinR2*SinPoly */
mulpd %xmm6, %xmm3
/* CosPoly = C2 + CosR2*CosPoly */
mulpd %xmm10, %xmm5
addpd __dC2(%rax), %xmm3
addpd __dC2(%rax), %xmm5
/* SinPoly = C1 + SinR2*SinPoly */
mulpd %xmm6, %xmm3
/* CosPoly = C1 + CosR2*CosPoly */
mulpd %xmm10, %xmm5
addpd __dC1(%rax), %xmm3
addpd __dC1(%rax), %xmm5
/* SinPoly = SinR2*SinPoly */
mulpd %xmm3, %xmm6
/* CosPoly = CosR2*CosPoly */
mulpd %xmm5, %xmm10
/* SinPoly = SinR*SinPoly */
mulpd %xmm13, %xmm6
/* CosPoly = CosR*CosPoly */
mulpd %xmm1, %xmm10
addpd %xmm6, %xmm13
addpd %xmm10, %xmm1
/* Update Sin result's sign */
xorps %xmm12, %xmm13
/* Update Cos result's sign */
xorps %xmm2, %xmm1
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
movups 176(%rsp), %xmm10
movaps %xmm13, (%rdi)
movups 160(%rsp), %xmm11
movups 144(%rsp), %xmm12
movups 112(%rsp), %xmm13
movups %xmm1, (%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
movups %xmm0, 128(%rsp)
movups %xmm13, 192(%rsp)
movups %xmm1, 256(%rsp)
je .LBL_1_2
xorb %dl, %dl
xorl %eax, %eax
movups %xmm8, 48(%rsp)
movups %xmm9, 32(%rsp)
movups %xmm14, 16(%rsp)
movups %xmm15, (%rsp)
movq %rsi, 64(%rsp)
movq %r12, 104(%rsp)
cfi_offset_rel_rsp (12, 104)
movb %dl, %r12b
movq %r13, 96(%rsp)
cfi_offset_rel_rsp (13, 96)
movl %eax, %r13d
movq %r14, 88(%rsp)
cfi_offset_rel_rsp (14, 88)
movl %ecx, %r14d
movq %r15, 80(%rsp)
cfi_offset_rel_rsp (15, 80)
movq %rbx, 72(%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
movups 48(%rsp), %xmm8
movq %rbx, %rdi
movups 32(%rsp), %xmm9
movups 16(%rsp), %xmm14
movups (%rsp), %xmm15
movq 64(%rsp), %rsi
movq 104(%rsp), %r12
cfi_restore (%r12)
movq 96(%rsp), %r13
cfi_restore (%r13)
movq 88(%rsp), %r14
cfi_restore (%r14)
movq 80(%rsp), %r15
cfi_restore (%r15)
movq 72(%rsp), %rbx
movups 192(%rsp), %xmm13
movups 256(%rsp), %xmm1
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
shlq $4, %r15
movsd 136(%rsp,%r15), %xmm0
call sin@PLT
movsd %xmm0, 200(%rsp,%r15)
movsd 136(%rsp,%r15), %xmm0
call cos@PLT
movsd %xmm0, 264(%rsp,%r15)
jmp .LBL_1_8
.LBL_1_13:
movzbl %r12b, %r15d
shlq $4, %r15
movsd 128(%rsp,%r15), %xmm0
call sin@PLT
movsd %xmm0, 192(%rsp,%r15)
movsd 128(%rsp,%r15), %xmm0
call cos@PLT
movsd %xmm0, 256(%rsp,%r15)
jmp .LBL_1_7
END (_ZGVbN2vvv_sincos_sse4)