/*
Copyright (c) 2014, Intel Corporation
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* Neither the name of Intel Corporation nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
/******************************************************************************/
// ALGORITHM DESCRIPTION
// ---------------------
//
// 1. RANGE REDUCTION
//
// We perform an initial range reduction from X to r with
//
// X =~= N * pi/32 + r
//
// so that |r| <= pi/64 + epsilon. We restrict inputs to those
// where |N| <= 932560. Beyond this, the range reduction is
// insufficiently accurate. For extremely small inputs,
// denormalization can occur internally, impacting performance.
// This means that the main path is actually only taken for
// 2^-252 <= |X| < 90112.
//
// To avoid branches, we perform the range reduction to full
// accuracy each time.
//
// X - N * (P_1 + P_2 + P_3)
//
// where P_1 and P_2 are 32-bit numbers (so multiplication by N
// is exact) and P_3 is a 53-bit number. Together, these
// approximate pi well enough for all cases in the restricted
// range.
//
// The main reduction sequence is:
//
// y = 32/pi * x
// N = integer(y)
// (computed by adding and subtracting off SHIFTER)
//
// m_1 = N * P_1
// m_2 = N * P_2
// r_1 = x - m_1
// r = r_1 - m_2
// (this r can be used for most of the calculation)
//
// c_1 = r_1 - r
// m_3 = N * P_3
// c_2 = c_1 - m_2
// c = c_2 - m_3
//
// 2. MAIN ALGORITHM
//
// The algorithm uses a table lookup based on B = M * pi / 32
// where M = N mod 64. The stored values are:
// sigma closest power of 2 to cos(B)
// C_hl 53-bit cos(B) - sigma
// S_hi + S_lo 2 * 53-bit sin(B)
//
// The computation is organized as follows:
//
// sin(B + r + c) = [sin(B) + sigma * r] +
// r * (cos(B) - sigma) +
// sin(B) * [cos(r + c) - 1] +
// cos(B) * [sin(r + c) - r]
//
// which is approximately:
//
// [S_hi + sigma * r] +
// C_hl * r +
// S_lo + S_hi * [(cos(r) - 1) - r * c] +
// (C_hl + sigma) * [(sin(r) - r) + c]
//
// and this is what is actually computed. We separate this sum
// into four parts:
//
// hi + med + pols + corr
//
// where
//
// hi = S_hi + sigma r
// med = C_hl * r
// pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
// corr = S_lo + c * ((C_hl + sigma) - S_hi * r)
//
// 3. POLYNOMIAL
//
// The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
// (sin(r) - r) can be rearranged freely, since it is quite
// small, so we exploit parallelism to the fullest.
//
// psc4 = SC_4 * r_1
// msc4 = psc4 * r
// r2 = r * r
// msc2 = SC_2 * r2
// r4 = r2 * r2
// psc3 = SC_3 + msc4
// psc1 = SC_1 + msc2
// msc3 = r4 * psc3
// sincospols = psc1 + msc3
// pols = sincospols *
// <S_hi * r^2 | (C_hl + sigma) * r^3>
//
// 4. CORRECTION TERM
//
// This is where the "c" component of the range reduction is
// taken into account; recall that just "r" is used for most of
// the calculation.
//
// -c = m_3 - c_2
// -d = S_hi * r - (C_hl + sigma)
// corr = -c * -d + S_lo
//
// 5. COMPENSATED SUMMATIONS
//
// The two successive compensated summations add up the high
// and medium parts, leaving just the low parts to add up at
// the end.
//
// rs = sigma * r
// res_int = S_hi + rs
// k_0 = S_hi - res_int
// k_2 = k_0 + rs
// med = C_hl * r
// res_hi = res_int + med
// k_1 = res_int - res_hi
// k_3 = k_1 + med
//
// 6. FINAL SUMMATION
//
// We now add up all the small parts:
//
// res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
//
// Now the overall result is just:
//
// res_hi + res_lo
//
// 7. SMALL ARGUMENTS
//
// Inputs with |X| < 2^-252 are treated specially as
// 1 - |x|.
//
// Special cases:
// cos(NaN) = quiet NaN, and raise invalid exception
// cos(INF) = NaN and raise invalid exception
// cos(0) = 1
//
/******************************************************************************/
#include <private/bionic_asm.h>
# -- Begin cos
ENTRY(cos)
# parameter 1: %xmm0
..B1.1:
..___tag_value_cos.1:
pushq %rbx
..___tag_value_cos.3:
subq $16, %rsp
..___tag_value_cos.5:
movsd %xmm0, 8(%rsp)
..B1.2:
movl 12(%rsp), %eax
movq PI32INV(%rip), %xmm1
andl $2147418112, %eax
subl $808452096, %eax
cmpl $281346048, %eax
ja .L_2TAG_PACKET_0.0.1
mulsd %xmm0, %xmm1
movapd ONEHALF(%rip), %xmm5
movq SIGN_MASK(%rip), %xmm4
andpd %xmm0, %xmm4
orps %xmm4, %xmm5
addpd %xmm5, %xmm1
cvttsd2si %xmm1, %edx
cvtsi2sd %edx, %xmm1
movapd P_2(%rip), %xmm2
movq P_1(%rip), %xmm3
mulsd %xmm1, %xmm3
unpcklpd %xmm1, %xmm1
addq $1865232, %rdx
movq %xmm0, %xmm4
andq $63, %rdx
movapd SC_4(%rip), %xmm5
lea Ctable(%rip), %rax
shlq $5, %rdx
addq %rdx, %rax
mulpd %xmm1, %xmm2
subsd %xmm3, %xmm0
mulsd P_3(%rip), %xmm1
subsd %xmm3, %xmm4
movq 8(%rax), %xmm7
unpcklpd %xmm0, %xmm0
movq %xmm4, %xmm3
subsd %xmm2, %xmm4
mulpd %xmm0, %xmm5
subpd %xmm2, %xmm0
movapd SC_2(%rip), %xmm6
mulsd %xmm4, %xmm7
subsd %xmm4, %xmm3
mulpd %xmm0, %xmm5
mulpd %xmm0, %xmm0
subsd %xmm2, %xmm3
movapd (%rax), %xmm2
subsd %xmm3, %xmm1
movq 24(%rax), %xmm3
addsd %xmm3, %xmm2
subsd %xmm2, %xmm7
mulsd %xmm4, %xmm2
mulpd %xmm0, %xmm6
mulsd %xmm4, %xmm3
mulpd %xmm0, %xmm2
mulpd %xmm0, %xmm0
addpd SC_3(%rip), %xmm5
mulsd (%rax), %xmm4
addpd SC_1(%rip), %xmm6
mulpd %xmm0, %xmm5
movq %xmm3, %xmm0
addsd 8(%rax), %xmm3
mulpd %xmm7, %xmm1
movq %xmm4, %xmm7
addsd %xmm3, %xmm4
addpd %xmm5, %xmm6
movq 8(%rax), %xmm5
subsd %xmm3, %xmm5
subsd %xmm4, %xmm3
addsd 16(%rax), %xmm1
mulpd %xmm2, %xmm6
addsd %xmm5, %xmm0
addsd %xmm7, %xmm3
addsd %xmm1, %xmm0
addsd %xmm3, %xmm0
addsd %xmm6, %xmm0
unpckhpd %xmm6, %xmm6
addsd %xmm6, %xmm0
addsd %xmm4, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_0.0.1:
jg .L_2TAG_PACKET_1.0.1
pextrw $3, %xmm0, %eax
andw $32767, %ax
pinsrw $3, %eax, %xmm0
movq ONE(%rip), %xmm1
subsd %xmm0, %xmm1
movq %xmm1, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_1.0.1:
pextrw $3, %xmm0, %eax
andl $32752, %eax
cmpl $32752, %eax
je .L_2TAG_PACKET_2.0.1
pextrw $3, %xmm0, %ecx
andl $32752, %ecx
subl $16224, %ecx
shrl $7, %ecx
andl $65532, %ecx
lea PI_INV_TABLE(%rip), %r11
addq %r11, %rcx
movd %xmm0, %rax
movl 20(%rcx), %r10d
movl 24(%rcx), %r8d
movl %eax, %edx
shrq $21, %rax
orl $-2147483648, %eax
shrl $11, %eax
movl %r10d, %r9d
imulq %rdx, %r10
imulq %rax, %r9
imulq %rax, %r8
movl 16(%rcx), %esi
movl 12(%rcx), %edi
movl %r10d, %r11d
shrq $32, %r10
addq %r10, %r9
addq %r8, %r11
movl %r11d, %r8d
shrq $32, %r11
addq %r11, %r9
movl %esi, %r10d
imulq %rdx, %rsi
imulq %rax, %r10
movl %edi, %r11d
imulq %rdx, %rdi
movl %esi, %ebx
shrq $32, %rsi
addq %rbx, %r9
movl %r9d, %ebx
shrq $32, %r9
addq %rsi, %r10
addq %r9, %r10
shlq $32, %rbx
orq %rbx, %r8
imulq %rax, %r11
movl 8(%rcx), %r9d
movl 4(%rcx), %esi
movl %edi, %ebx
shrq $32, %rdi
addq %rbx, %r10
movl %r10d, %ebx
shrq $32, %r10
addq %rdi, %r11
addq %r10, %r11
movq %r9, %rdi
imulq %rdx, %r9
imulq %rax, %rdi
movl %r9d, %r10d
shrq $32, %r9
addq %r10, %r11
movl %r11d, %r10d
shrq $32, %r11
addq %r9, %rdi
addq %r11, %rdi
movq %rsi, %r9
imulq %rdx, %rsi
imulq %rax, %r9
shlq $32, %r10
orq %rbx, %r10
movl (%rcx), %eax
movl %esi, %r11d
shrq $32, %rsi
addq %r11, %rdi
movl %edi, %r11d
shrq $32, %rdi
addq %rsi, %r9
addq %rdi, %r9
imulq %rax, %rdx
pextrw $3, %xmm0, %ebx
lea PI_INV_TABLE(%rip), %rdi
subq %rdi, %rcx
addl %ecx, %ecx
addl %ecx, %ecx
addl %ecx, %ecx
addl $19, %ecx
movl $32768, %esi
andl %ebx, %esi
shrl $4, %ebx
andl $2047, %ebx
subl $1023, %ebx
subl %ebx, %ecx
addq %rdx, %r9
movl %ecx, %edx
addl $32, %edx
cmpl $1, %ecx
jl .L_2TAG_PACKET_3.0.1
negl %ecx
addl $29, %ecx
shll %cl, %r9d
movl %r9d, %edi
andl $536870911, %r9d
testl $268435456, %r9d
jne .L_2TAG_PACKET_4.0.1
shrl %cl, %r9d
movl $0, %ebx
shlq $32, %r9
orq %r11, %r9
.L_2TAG_PACKET_5.0.1:
.L_2TAG_PACKET_6.0.1:
cmpq $0, %r9
je .L_2TAG_PACKET_7.0.1
.L_2TAG_PACKET_8.0.1:
bsr %r9, %r11
movl $29, %ecx
subl %r11d, %ecx
jle .L_2TAG_PACKET_9.0.1
shlq %cl, %r9
movq %r10, %rax
shlq %cl, %r10
addl %ecx, %edx
negl %ecx
addl $64, %ecx
shrq %cl, %rax
shrq %cl, %r8
orq %rax, %r9
orq %r8, %r10
.L_2TAG_PACKET_10.0.1:
cvtsi2sdq %r9, %xmm0
shrq $1, %r10
cvtsi2sdq %r10, %xmm3
xorpd %xmm4, %xmm4
shll $4, %edx
negl %edx
addl $16368, %edx
orl %esi, %edx
xorl %ebx, %edx
pinsrw $3, %edx, %xmm4
movq PI_4(%rip), %xmm2
movq 8+PI_4(%rip), %xmm6
xorpd %xmm5, %xmm5
subl $1008, %edx
pinsrw $3, %edx, %xmm5
mulsd %xmm4, %xmm0
shll $16, %esi
sarl $31, %esi
mulsd %xmm5, %xmm3
movq %xmm0, %xmm1
mulsd %xmm2, %xmm0
shrl $29, %edi
addsd %xmm3, %xmm1
mulsd %xmm2, %xmm3
addl %esi, %edi
xorl %esi, %edi
mulsd %xmm1, %xmm6
movl %edi, %eax
addsd %xmm3, %xmm6
movq %xmm0, %xmm2
addsd %xmm6, %xmm0
subsd %xmm0, %xmm2
addsd %xmm2, %xmm6
.L_2TAG_PACKET_11.0.1:
movq PI32INV(%rip), %xmm1
mulsd %xmm0, %xmm1
movq ONEHALF(%rip), %xmm5
movq SIGN_MASK(%rip), %xmm4
andpd %xmm0, %xmm4
orps %xmm4, %xmm5
addpd %xmm5, %xmm1
cvttsd2si %xmm1, %rdx
cvtsi2sdq %rdx, %xmm1
movq P_1(%rip), %xmm3
movapd P_2(%rip), %xmm2
mulsd %xmm1, %xmm3
unpcklpd %xmm1, %xmm1
shll $3, %eax
addl $1865232, %edx
movq %xmm0, %xmm4
addl %eax, %edx
andl $63, %edx
movapd SC_4(%rip), %xmm5
lea Ctable(%rip), %rax
shll $5, %edx
addq %rdx, %rax
mulpd %xmm1, %xmm2
subsd %xmm3, %xmm0
mulsd P_3(%rip), %xmm1
subsd %xmm3, %xmm4
movq 8(%rax), %xmm7
unpcklpd %xmm0, %xmm0
movq %xmm4, %xmm3
subsd %xmm2, %xmm4
mulpd %xmm0, %xmm5
subpd %xmm2, %xmm0
mulsd %xmm4, %xmm7
subsd %xmm4, %xmm3
mulpd %xmm0, %xmm5
mulpd %xmm0, %xmm0
subsd %xmm2, %xmm3
movapd (%rax), %xmm2
subsd %xmm3, %xmm1
movq 24(%rax), %xmm3
addsd %xmm3, %xmm2
subsd %xmm2, %xmm7
subsd %xmm6, %xmm1
movapd SC_2(%rip), %xmm6
mulsd %xmm4, %xmm2
mulpd %xmm0, %xmm6
mulsd %xmm4, %xmm3
mulpd %xmm0, %xmm2
mulpd %xmm0, %xmm0
addpd SC_3(%rip), %xmm5
mulsd (%rax), %xmm4
addpd SC_1(%rip), %xmm6
mulpd %xmm0, %xmm5
movq %xmm3, %xmm0
addsd 8(%rax), %xmm3
mulpd %xmm7, %xmm1
movq %xmm4, %xmm7
addsd %xmm3, %xmm4
addpd %xmm5, %xmm6
movq 8(%rax), %xmm5
subsd %xmm3, %xmm5
subsd %xmm4, %xmm3
addsd 16(%rax), %xmm1
mulpd %xmm2, %xmm6
addsd %xmm0, %xmm5
addsd %xmm7, %xmm3
addsd %xmm5, %xmm1
addsd %xmm3, %xmm1
addsd %xmm6, %xmm1
unpckhpd %xmm6, %xmm6
movq %xmm4, %xmm0
addsd %xmm6, %xmm1
addsd %xmm1, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_7.0.1:
addl $64, %edx
movq %r10, %r9
movq %r8, %r10
movq $0, %r8
cmpq $0, %r9
jne .L_2TAG_PACKET_8.0.1
addl $64, %edx
movq %r10, %r9
movq %r8, %r10
cmpq $0, %r9
jne .L_2TAG_PACKET_8.0.1
xorpd %xmm0, %xmm0
xorpd %xmm6, %xmm6
jmp .L_2TAG_PACKET_11.0.1
.L_2TAG_PACKET_9.0.1:
je .L_2TAG_PACKET_10.0.1
negl %ecx
shrq %cl, %r10
movq %r9, %rax
shrq %cl, %r9
subl %ecx, %edx
negl %ecx
addl $64, %ecx
shlq %cl, %rax
orq %rax, %r10
jmp .L_2TAG_PACKET_10.0.1
.L_2TAG_PACKET_3.0.1:
negl %ecx
shlq $32, %r9
orq %r11, %r9
shlq %cl, %r9
movq %r9, %rdi
testl $-2147483648, %r9d
jne .L_2TAG_PACKET_12.0.1
shrl %cl, %r9d
movl $0, %ebx
shrq $3, %rdi
jmp .L_2TAG_PACKET_6.0.1
.L_2TAG_PACKET_4.0.1:
shrl %cl, %r9d
movl $536870912, %ebx
shrl %cl, %ebx
shlq $32, %r9
orq %r11, %r9
shlq $32, %rbx
addl $536870912, %edi
movq $0, %rcx
movq $0, %r11
subq %r8, %rcx
sbbq %r10, %r11
sbbq %r9, %rbx
movq %rcx, %r8
movq %r11, %r10
movq %rbx, %r9
movl $32768, %ebx
jmp .L_2TAG_PACKET_5.0.1
.L_2TAG_PACKET_12.0.1:
shrl %cl, %r9d
movq $0x100000000, %rbx
shrq %cl, %rbx
movq $0, %rcx
movq $0, %r11
subq %r8, %rcx
sbbq %r10, %r11
sbbq %r9, %rbx
movq %rcx, %r8
movq %r11, %r10
movq %rbx, %r9
movl $32768, %ebx
shrq $3, %rdi
addl $536870912, %edi
jmp .L_2TAG_PACKET_6.0.1
.L_2TAG_PACKET_2.0.1:
movsd 8(%rsp), %xmm0
mulsd NEG_ZERO(%rip), %xmm0
movq %xmm0, (%rsp)
.L_2TAG_PACKET_13.0.1:
..B1.4:
addq $16, %rsp
..___tag_value_cos.6:
popq %rbx
..___tag_value_cos.8:
ret
..___tag_value_cos.9:
END(cos)
# -- End cos
.section .rodata, "a"
.align 16
.align 16
ONEHALF:
.long 0
.long 1071644672
.long 0
.long 1071644672
.type ONEHALF,@object
.size ONEHALF,16
.align 16
P_2:
.long 442499072
.long 1032893537
.long 442499072
.long 1032893537
.type P_2,@object
.size P_2,16
.align 16
SC_4:
.long 2773927732
.long 1053236707
.long 436314138
.long 1056571808
.type SC_4,@object
.size SC_4,16
.align 16
Ctable:
.long 0
.long 0
.long 0
.long 0
.long 0
.long 0
.long 0
.long 1072693248
.long 393047345
.long 3212032302
.long 3156849708
.long 1069094822
.long 3758096384
.long 3158189848
.long 0
.long 1072693248
.long 18115067
.long 3214126342
.long 1013556747
.long 1070135480
.long 3221225472
.long 3160567065
.long 0
.long 1072693248
.long 2476548698
.long 3215330282
.long 785751814
.long 1070765062
.long 2684354560
.long 3161838221
.long 0
.long 1072693248
.long 2255197647
.long 3216211105
.long 2796464483
.long 1071152610
.long 3758096384
.long 3160878317
.long 0
.long 1072693248
.long 1945768569
.long 3216915048
.long 939980347
.long 1071524701
.long 536870912
.long 1012796809
.long 0
.long 1072693248
.long 1539668340
.long 3217396327
.long 967731400
.long 1071761211
.long 536870912
.long 1015752157
.long 0
.long 1072693248
.long 1403757309
.long 3217886718
.long 621354454
.long 1071926515
.long 536870912
.long 1013450602
.long 0
.long 1072693248
.long 2583490354
.long 1070236281
.long 1719614413
.long 1072079006
.long 536870912
.long 3163282740
.long 0
.long 1071644672
.long 2485417816
.long 1069626316
.long 1796544321
.long 1072217216
.long 536870912
.long 3162686945
.long 0
.long 1071644672
.long 2598800519
.long 1068266419
.long 688824739
.long 1072339814
.long 3758096384
.long 1010431536
.long 0
.long 1071644672
.long 2140183630
.long 3214756396
.long 4051746225
.long 1072445618
.long 2147483648
.long 3161907377
.long 0
.long 1071644672
.long 1699043957
.long 3216902261
.long 3476196678
.long 1072533611
.long 536870912
.long 1014257638
.long 0
.long 1071644672
.long 1991047213
.long 1067753521
.long 1455828442
.long 1072602945
.long 3758096384
.long 1015505073
.long 0
.long 1070596096
.long 240740309
.long 3215727903
.long 3489094832
.long 1072652951
.long 536870912
.long 1014325783
.long 0
.long 1070596096
.long 257503056
.long 3214647653
.long 2748392742
.long 1072683149
.long 1073741824
.long 3163061750
.long 0
.long 1069547520
.long 0
.long 0
.long 0
.long 1072693248
.long 0
.long 0
.long 0
.long 0
.long 257503056
.long 1067164005
.long 2748392742
.long 1072683149
.long 1073741824
.long 3163061750
.long 0
.long 3217031168
.long 240740309
.long 1068244255
.long 3489094832
.long 1072652951
.long 536870912
.long 1014325783
.long 0
.long 3218079744
.long 1991047213
.long 3215237169
.long 1455828442
.long 1072602945
.long 3758096384
.long 1015505073
.long 0
.long 3218079744
.long 1699043957
.long 1069418613
.long 3476196678
.long 1072533611
.long 536870912
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.type Ctable,@object
.size Ctable,2048
.align 16
SC_2:
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.type SC_2,@object
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.align 16
SC_3:
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.align 16
SC_1:
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.type SC_1,@object
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.align 16
PI_INV_TABLE:
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.type PI_INV_TABLE,@object
.size PI_INV_TABLE,164
.space 12, 0x00 # pad
.align 16
PI_4:
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.type PI_4,@object
.size PI_4,16
.align 8
PI32INV:
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.type PI32INV,@object
.size PI32INV,8
.align 8
SIGN_MASK:
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.type SIGN_MASK,@object
.size SIGN_MASK,8
.align 8
P_1:
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.size P_1,8
.align 8
P_3:
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.type P_3,@object
.size P_3,8
.align 8
ONE:
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.type ONE,@object
.size ONE,8
.align 8
NEG_ZERO:
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.type NEG_ZERO,@object
.size NEG_ZERO,8
.data
.section .note.GNU-stack, ""
// -- Begin DWARF2 SEGMENT .eh_frame
.section .eh_frame,"a",@progbits
.eh_frame_seg:
.align 1
.4byte 0x00000014
.8byte 0x00527a0100000000
.8byte 0x08070c1b01107801
.4byte 0x00000190
.4byte 0x0000002c
.4byte 0x0000001c
.4byte ..___tag_value_cos.1-.
.4byte ..___tag_value_cos.9-..___tag_value_cos.1
.2byte 0x0400
.4byte ..___tag_value_cos.3-..___tag_value_cos.1
.4byte 0x0283100e
.byte 0x04
.4byte ..___tag_value_cos.5-..___tag_value_cos.3
.2byte 0x200e
.byte 0x04
.4byte ..___tag_value_cos.6-..___tag_value_cos.5
.4byte 0x04c3100e
.4byte ..___tag_value_cos.8-..___tag_value_cos.6
.2byte 0x080e
# End