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/* Function sin vectorized with SSE4.
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Copyright (C) 2014-2018 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include "svml_d_trig_data.h"
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.text
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ENTRY (_ZGVbN2v_sin_sse4)
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/* ALGORITHM DESCRIPTION:
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( low accuracy ( < 4ulp ) or enhanced performance
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( half of correct mantissa ) implementation )
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Argument representation:
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arg = N*Pi + R
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Result calculation:
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sin(arg) = sin(N*Pi + R) = (-1)^N * sin(R)
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sin(R) is approximated by corresponding polynomial
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*/
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pushq %rbp
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cfi_adjust_cfa_offset (8)
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cfi_rel_offset (%rbp, 0)
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movq %rsp, %rbp
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cfi_def_cfa_register (%rbp)
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andq $-64, %rsp
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subq $320, %rsp
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movaps %xmm0, %xmm5
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movq __svml_d_trig_data@GOTPCREL(%rip), %rax
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movups __dAbsMask(%rax), %xmm3
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/*
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ARGUMENT RANGE REDUCTION:
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X' = |X|
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*/
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movaps %xmm3, %xmm4
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/* SignX - sign bit of X */
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andnps %xmm5, %xmm3
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movups __dInvPI(%rax), %xmm2
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andps %xmm5, %xmm4
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/* Y = X'*InvPi + RS : right shifter add */
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mulpd %xmm4, %xmm2
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movups __dRShifter(%rax), %xmm6
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/* R = X' - N*Pi1 */
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movaps %xmm4, %xmm0
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addpd %xmm6, %xmm2
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cmpnlepd __dRangeVal(%rax), %xmm4
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/* N = Y - RS : right shifter sub */
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movaps %xmm2, %xmm1
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/* SignRes = Y<<63 : shift LSB to MSB place for result sign */
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psllq $63, %xmm2
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subpd %xmm6, %xmm1
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movmskpd %xmm4, %ecx
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movups __dPI1(%rax), %xmm7
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mulpd %xmm1, %xmm7
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movups __dPI2(%rax), %xmm6
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/* R = R - N*Pi2 */
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mulpd %xmm1, %xmm6
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subpd %xmm7, %xmm0
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movups __dPI3(%rax), %xmm7
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/* R = R - N*Pi3 */
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mulpd %xmm1, %xmm7
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subpd %xmm6, %xmm0
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movups __dPI4(%rax), %xmm6
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/* R = R - N*Pi4 */
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mulpd %xmm6, %xmm1
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subpd %xmm7, %xmm0
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subpd %xmm1, %xmm0
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/*
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POLYNOMIAL APPROXIMATION:
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R2 = R*R
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*/
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movaps %xmm0, %xmm1
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mulpd %xmm0, %xmm1
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/* R = R^SignRes : update sign of reduced argument */
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xorps %xmm2, %xmm0
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movups __dC7_sin(%rax), %xmm2
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mulpd %xmm1, %xmm2
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addpd __dC6_sin(%rax), %xmm2
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mulpd %xmm1, %xmm2
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addpd __dC5_sin(%rax), %xmm2
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mulpd %xmm1, %xmm2
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addpd __dC4_sin(%rax), %xmm2
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/* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */
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mulpd %xmm1, %xmm2
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addpd __dC3_sin(%rax), %xmm2
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/* Poly = R2*(C1+R2*(C2+R2*Poly)) */
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mulpd %xmm1, %xmm2
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addpd __dC2_sin(%rax), %xmm2
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mulpd %xmm1, %xmm2
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addpd __dC1_sin(%rax), %xmm2
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mulpd %xmm2, %xmm1
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/* Poly = Poly*R + R */
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mulpd %xmm0, %xmm1
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addpd %xmm1, %xmm0
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/*
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RECONSTRUCTION:
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Final sign setting: Res = Poly^SignX
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*/
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xorps %xmm3, %xmm0
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testl %ecx, %ecx
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jne .LBL_1_3
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.LBL_1_2:
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cfi_remember_state
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movq %rbp, %rsp
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cfi_def_cfa_register (%rsp)
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popq %rbp
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cfi_adjust_cfa_offset (-8)
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cfi_restore (%rbp)
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ret
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.LBL_1_3:
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cfi_restore_state
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movups %xmm5, 192(%rsp)
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movups %xmm0, 256(%rsp)
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je .LBL_1_2
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xorb %dl, %dl
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xorl %eax, %eax
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movups %xmm8, 112(%rsp)
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movups %xmm9, 96(%rsp)
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movups %xmm10, 80(%rsp)
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movups %xmm11, 64(%rsp)
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movups %xmm12, 48(%rsp)
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movups %xmm13, 32(%rsp)
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movups %xmm14, 16(%rsp)
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movups %xmm15, (%rsp)
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movq %rsi, 136(%rsp)
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movq %rdi, 128(%rsp)
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movq %r12, 168(%rsp)
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cfi_offset_rel_rsp (12, 168)
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movb %dl, %r12b
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movq %r13, 160(%rsp)
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cfi_offset_rel_rsp (13, 160)
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movl %ecx, %r13d
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movq %r14, 152(%rsp)
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cfi_offset_rel_rsp (14, 152)
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movl %eax, %r14d
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movq %r15, 144(%rsp)
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cfi_offset_rel_rsp (15, 144)
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cfi_remember_state
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.LBL_1_6:
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btl %r14d, %r13d
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jc .LBL_1_12
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.LBL_1_7:
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lea 1(%r14), %esi
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btl %esi, %r13d
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jc .LBL_1_10
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.LBL_1_8:
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incb %r12b
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addl $2, %r14d
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cmpb $16, %r12b
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jb .LBL_1_6
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movups 112(%rsp), %xmm8
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movups 96(%rsp), %xmm9
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movups 80(%rsp), %xmm10
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movups 64(%rsp), %xmm11
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movups 48(%rsp), %xmm12
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movups 32(%rsp), %xmm13
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movups 16(%rsp), %xmm14
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movups (%rsp), %xmm15
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movq 136(%rsp), %rsi
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movq 128(%rsp), %rdi
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movq 168(%rsp), %r12
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cfi_restore (%r12)
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movq 160(%rsp), %r13
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cfi_restore (%r13)
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movq 152(%rsp), %r14
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cfi_restore (%r14)
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movq 144(%rsp), %r15
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cfi_restore (%r15)
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movups 256(%rsp), %xmm0
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jmp .LBL_1_2
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.LBL_1_10:
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cfi_restore_state
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movzbl %r12b, %r15d
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shlq $4, %r15
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movsd 200(%rsp,%r15), %xmm0
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call JUMPTARGET(sin)
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movsd %xmm0, 264(%rsp,%r15)
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jmp .LBL_1_8
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.LBL_1_12:
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movzbl %r12b, %r15d
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shlq $4, %r15
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movsd 192(%rsp,%r15), %xmm0
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call JUMPTARGET(sin)
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movsd %xmm0, 256(%rsp,%r15)
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jmp .LBL_1_7
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END (_ZGVbN2v_sin_sse4)
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