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platform_bionic/libm/x86_64/s_tan.S
Jingwei Zhang 5d4f0e6a26 Add the optimized implementation of 18 math functions for x86 and x86_64 respectively 
Change-Id: I31bf601448a9427f825517f3a0ff24de47f49bfa
Signed-off-by: Jingwei Zhang <jingwei.zhang@intel.com>
Signed-off-by: Mingwei Shi <mingwei.shi@intel.com>
2015-03-09 13:19:08 -07:00

2239 lines
44 KiB
ArmAsm
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/*
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
// ---------------------
//
// Polynomials coefficients and other constants.
//
// Note that in this algorithm, there is a different polynomial for
// each breakpoint, so there are 32 sets of polynomial coefficients
// as well as 32 instances of the other constants.
//
// The polynomial coefficients and constants are offset from the start
// of the main block as follows:
//
// 0: c8 | c0
// 16: c9 | c1
// 32: c10 | c2
// 48: c11 | c3
// 64: c12 | c4
// 80: c13 | c5
// 96: c14 | c6
// 112: c15 | c7
// 128: T_hi
// 136: T_lo
// 144: Sigma
// 152: T_hl
// 160: Tau
// 168: Mask
// 176: (end of block)
//
// The total table size is therefore 5632 bytes.
//
// Note that c0 and c1 are always zero. We could try storing
// other constants here, and just loading the low part of the
// SIMD register in these cases, after ensuring the high part
// is zero.
//
// The higher terms of the polynomial are computed in the *low*
// part of the SIMD register. This is so we can overlap the
// multiplication by r^8 and the unpacking of the other part.
//
// The constants are:
// T_hi + T_lo = accurate constant term in power series
// Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit)
// Tau = multiplier for the reciprocal, always -1 or 0
//
// The basic reconstruction formula using these constants is:
//
// High = tau * recip_hi + t_hi
// Med = (sgn * r + t_hl * r)_hi
// Low = (sgn * r + t_hl * r)_lo +
// tau * recip_lo + T_lo + (T_hl + sigma) * c + pol
//
// where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15
//
// (c0 = c1 = 0, but using them keeps SIMD regularity)
//
// We then do a compensated sum High + Med, add the low parts together
// and then do the final sum.
//
// Here recip_hi + recip_lo is an accurate reciprocal of the remainder
// modulo pi/2
//
// Special cases:
// tan(NaN) = quiet NaN, and raise invalid exception
// tan(INF) = NaN and raise invalid exception
// tan(+/-0) = +/-0
//
/******************************************************************************/
#include <private/bionic_asm.h>
# -- Begin tan
ENTRY(tan)
# parameter 1: %xmm0
..B1.1:
..___tag_value_tan.1:
pushq %rbx
..___tag_value_tan.3:
subq $16, %rsp
..___tag_value_tan.5:
movsd %xmm0, 8(%rsp)
..B1.2:
pextrw $3, %xmm0, %eax
andl $32767, %eax
subl $16314, %eax
cmpl $270, %eax
ja .L_2TAG_PACKET_0.0.1
movapd ONEHALF(%rip), %xmm5
movapd MUL16(%rip), %xmm6
unpcklpd %xmm0, %xmm0
movapd sign_mask(%rip), %xmm4
andpd %xmm0, %xmm4
movapd PI32INV(%rip), %xmm1
mulpd %xmm0, %xmm1
orps %xmm4, %xmm5
addpd %xmm5, %xmm1
movapd %xmm1, %xmm7
unpckhpd %xmm7, %xmm7
cvttsd2si %xmm7, %edx
cvttpd2dq %xmm1, %xmm1
cvtdq2pd %xmm1, %xmm1
mulpd %xmm6, %xmm1
movapd P_1(%rip), %xmm3
movq QQ_2(%rip), %xmm5
addq $469248, %rdx
movapd P_2(%rip), %xmm4
mulpd %xmm1, %xmm3
andq $31, %rdx
mulsd %xmm1, %xmm5
movq %rdx, %rcx
mulpd %xmm1, %xmm4
shlq $1, %rcx
subpd %xmm3, %xmm0
mulpd P_3(%rip), %xmm1
addq %rcx, %rdx
shlq $2, %rcx
addq %rcx, %rdx
addsd %xmm0, %xmm5
movapd %xmm0, %xmm2
subpd %xmm4, %xmm0
movq ONE(%rip), %xmm6
shlq $4, %rdx
lea Ctable(%rip), %rax
andpd MASK_35(%rip), %xmm5
movapd %xmm0, %xmm3
addq %rdx, %rax
subpd %xmm0, %xmm2
unpckhpd %xmm0, %xmm0
divsd %xmm5, %xmm6
subpd %xmm4, %xmm2
movapd 16(%rax), %xmm7
subsd %xmm5, %xmm3
mulpd %xmm0, %xmm7
subpd %xmm1, %xmm2
movapd 48(%rax), %xmm1
mulpd %xmm0, %xmm1
movapd 96(%rax), %xmm4
mulpd %xmm0, %xmm4
addsd %xmm3, %xmm2
movapd %xmm0, %xmm3
mulpd %xmm0, %xmm0
addpd (%rax), %xmm7
addpd 32(%rax), %xmm1
mulpd %xmm0, %xmm1
addpd 80(%rax), %xmm4
addpd %xmm1, %xmm7
movapd 112(%rax), %xmm1
mulpd %xmm0, %xmm1
mulpd %xmm0, %xmm0
addpd %xmm1, %xmm4
movapd 64(%rax), %xmm1
mulpd %xmm0, %xmm1
addpd %xmm1, %xmm7
movapd %xmm3, %xmm1
mulpd %xmm0, %xmm3
mulsd %xmm0, %xmm0
mulpd 144(%rax), %xmm1
mulpd %xmm3, %xmm4
movq %xmm1, %xmm3
addpd %xmm4, %xmm7
movq %xmm1, %xmm4
mulsd %xmm7, %xmm0
unpckhpd %xmm7, %xmm7
addsd %xmm7, %xmm0
unpckhpd %xmm1, %xmm1
addsd %xmm1, %xmm3
subsd %xmm3, %xmm4
addsd %xmm4, %xmm1
movq %xmm2, %xmm4
movq 144(%rax), %xmm7
unpckhpd %xmm2, %xmm2
addsd 152(%rax), %xmm7
mulsd %xmm2, %xmm7
addsd 136(%rax), %xmm7
addsd %xmm1, %xmm7
addsd %xmm7, %xmm0
movq ONE(%rip), %xmm7
mulsd %xmm6, %xmm4
movq 168(%rax), %xmm2
andpd %xmm6, %xmm2
mulsd %xmm2, %xmm5
mulsd 160(%rax), %xmm6
subsd %xmm5, %xmm7
subsd 128(%rax), %xmm2
subsd %xmm4, %xmm7
mulsd %xmm6, %xmm7
movq %xmm3, %xmm4
subsd %xmm2, %xmm3
addsd %xmm3, %xmm2
subsd %xmm2, %xmm4
addsd %xmm4, %xmm0
subsd %xmm7, %xmm0
addsd %xmm3, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_0.0.1:
jg .L_2TAG_PACKET_1.0.1
pextrw $3, %xmm0, %eax
movl %eax, %edx
andl $32752, %eax
je .L_2TAG_PACKET_2.0.1
andl $32767, %edx
cmpl $15904, %edx
jb .L_2TAG_PACKET_3.0.1
movq %xmm0, %xmm2
movq %xmm0, %xmm3
movq Q_11(%rip), %xmm1
mulsd %xmm0, %xmm2
mulsd %xmm2, %xmm3
mulsd %xmm2, %xmm1
addsd Q_9(%rip), %xmm1
mulsd %xmm2, %xmm1
addsd Q_7(%rip), %xmm1
mulsd %xmm2, %xmm1
addsd Q_5(%rip), %xmm1
mulsd %xmm2, %xmm1
addsd Q_3(%rip), %xmm1
mulsd %xmm3, %xmm1
addsd %xmm1, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_3.0.1:
movq TWO_POW_55(%rip), %xmm3
mulsd %xmm0, %xmm3
addsd %xmm3, %xmm0
mulsd TWO_POW_M55(%rip), %xmm0
jmp ..B1.4
.L_2TAG_PACKET_2.0.1:
movq %xmm0, %xmm1
mulsd %xmm1, %xmm1
jmp ..B1.4
.L_2TAG_PACKET_1.0.1:
pextrw $3, %xmm0, %eax
andl $32752, %eax
cmpl $32752, %eax
je .L_2TAG_PACKET_4.0.1
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 $0, %ecx
jl .L_2TAG_PACKET_5.0.1
negl %ecx
addl $29, %ecx
shll %cl, %r9d
movl %r9d, %edi
andl $1073741823, %r9d
testl $536870912, %r9d
jne .L_2TAG_PACKET_6.0.1
shrl %cl, %r9d
movl $0, %ebx
shlq $32, %r9
orq %r11, %r9
.L_2TAG_PACKET_7.0.1:
.L_2TAG_PACKET_8.0.1:
cmpq $0, %r9
je .L_2TAG_PACKET_9.0.1
.L_2TAG_PACKET_10.0.1:
bsr %r9, %r11
movl $29, %ecx
subl %r11d, %ecx
jle .L_2TAG_PACKET_11.0.1
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_12.0.1:
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), %xmm7
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 $30, %edi
addsd %xmm3, %xmm1
mulsd %xmm2, %xmm3
addl %esi, %edi
xorl %esi, %edi
mulsd %xmm1, %xmm7
movl %edi, %eax
addsd %xmm3, %xmm7
movq %xmm0, %xmm2
addsd %xmm7, %xmm0
subsd %xmm0, %xmm2
addsd %xmm2, %xmm7
movapd PI32INV(%rip), %xmm1
movddup %xmm0, %xmm0
movapd sign_mask(%rip), %xmm4
andpd %xmm0, %xmm4
mulpd %xmm0, %xmm1
movddup %xmm7, %xmm7
movapd ONEHALF(%rip), %xmm5
movapd MUL16(%rip), %xmm6
orps %xmm4, %xmm5
addpd %xmm5, %xmm1
movapd %xmm1, %xmm5
unpckhpd %xmm5, %xmm5
cvttsd2si %xmm5, %edx
cvttpd2dq %xmm1, %xmm1
cvtdq2pd %xmm1, %xmm1
mulpd %xmm6, %xmm1
movapd P_1(%rip), %xmm3
movq QQ_2(%rip), %xmm5
shll $4, %eax
addl $469248, %edx
movapd P_2(%rip), %xmm4
mulpd %xmm1, %xmm3
addl %eax, %edx
andl $31, %edx
mulsd %xmm1, %xmm5
movl %edx, %ecx
mulpd %xmm1, %xmm4
shll $1, %ecx
subpd %xmm3, %xmm0
mulpd P_3(%rip), %xmm1
addl %ecx, %edx
shll $2, %ecx
addl %ecx, %edx
addsd %xmm0, %xmm5
movapd %xmm0, %xmm2
subpd %xmm4, %xmm0
movq ONE(%rip), %xmm6
shll $4, %edx
lea Ctable(%rip), %rax
andpd MASK_35(%rip), %xmm5
movapd %xmm0, %xmm3
addq %rdx, %rax
subpd %xmm0, %xmm2
unpckhpd %xmm0, %xmm0
divsd %xmm5, %xmm6
subpd %xmm4, %xmm2
subsd %xmm5, %xmm3
subpd %xmm1, %xmm2
movapd 48(%rax), %xmm1
addpd %xmm7, %xmm2
movapd 16(%rax), %xmm7
mulpd %xmm0, %xmm7
movapd 96(%rax), %xmm4
mulpd %xmm0, %xmm1
mulpd %xmm0, %xmm4
addsd %xmm3, %xmm2
movapd %xmm0, %xmm3
mulpd %xmm0, %xmm0
addpd (%rax), %xmm7
addpd 32(%rax), %xmm1
mulpd %xmm0, %xmm1
addpd 80(%rax), %xmm4
addpd %xmm1, %xmm7
movapd 112(%rax), %xmm1
mulpd %xmm0, %xmm1
mulpd %xmm0, %xmm0
addpd %xmm1, %xmm4
movapd 64(%rax), %xmm1
mulpd %xmm0, %xmm1
addpd %xmm1, %xmm7
movapd %xmm3, %xmm1
mulpd %xmm0, %xmm3
mulsd %xmm0, %xmm0
mulpd 144(%rax), %xmm1
mulpd %xmm3, %xmm4
movq %xmm1, %xmm3
addpd %xmm4, %xmm7
movq %xmm1, %xmm4
mulsd %xmm7, %xmm0
unpckhpd %xmm7, %xmm7
addsd %xmm7, %xmm0
unpckhpd %xmm1, %xmm1
addsd %xmm1, %xmm3
subsd %xmm3, %xmm4
addsd %xmm4, %xmm1
movq %xmm2, %xmm4
movq 144(%rax), %xmm7
unpckhpd %xmm2, %xmm2
addsd 152(%rax), %xmm7
mulsd %xmm2, %xmm7
addsd 136(%rax), %xmm7
addsd %xmm1, %xmm7
addsd %xmm7, %xmm0
movq ONE(%rip), %xmm7
mulsd %xmm6, %xmm4
movq 168(%rax), %xmm2
andpd %xmm6, %xmm2
mulsd %xmm2, %xmm5
mulsd 160(%rax), %xmm6
subsd %xmm5, %xmm7
subsd 128(%rax), %xmm2
subsd %xmm4, %xmm7
mulsd %xmm6, %xmm7
movq %xmm3, %xmm4
subsd %xmm2, %xmm3
addsd %xmm3, %xmm2
subsd %xmm2, %xmm4
addsd %xmm4, %xmm0
subsd %xmm7, %xmm0
addsd %xmm3, %xmm0
jmp ..B1.4
.L_2TAG_PACKET_9.0.1:
addl $64, %edx
movq %r10, %r9
movq %r8, %r10
movq $0, %r8
cmpq $0, %r9
jne .L_2TAG_PACKET_10.0.1
addl $64, %edx
movq %r10, %r9
movq %r8, %r10
cmpq $0, %r9
jne .L_2TAG_PACKET_10.0.1
jmp .L_2TAG_PACKET_12.0.1
.L_2TAG_PACKET_11.0.1:
je .L_2TAG_PACKET_12.0.1
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_12.0.1
.L_2TAG_PACKET_5.0.1:
notl %ecx
shlq $32, %r9
orq %r11, %r9
shlq %cl, %r9
movq %r9, %rdi
testl $-2147483648, %r9d
jne .L_2TAG_PACKET_13.0.1
shrl %cl, %r9d
movl $0, %ebx
shrq $2, %rdi
jmp .L_2TAG_PACKET_8.0.1
.L_2TAG_PACKET_6.0.1:
shrl %cl, %r9d
movl $1073741824, %ebx
shrl %cl, %ebx
shlq $32, %r9
orq %r11, %r9
shlq $32, %rbx
addl $1073741824, %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_7.0.1
.L_2TAG_PACKET_13.0.1:
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 $2, %rdi
addl $1073741824, %edi
jmp .L_2TAG_PACKET_8.0.1
.L_2TAG_PACKET_4.0.1:
movq 8(%rsp), %xmm0
mulsd NEG_ZERO(%rip), %xmm0
movq %xmm0, (%rsp)
.L_2TAG_PACKET_14.0.1:
..B1.4:
addq $16, %rsp
..___tag_value_tan.6:
popq %rbx
..___tag_value_tan.8:
ret
..___tag_value_tan.9:
END(tan)
# -- End tan
.section .rodata, "a"
.align 16
.align 16
ONEHALF:
.long 0
.long 1071644672
.long 0
.long 1071644672
.type ONEHALF,@object
.size ONEHALF,16
.align 16
MUL16:
.long 0
.long 1076887552
.long 0
.long 1072693248
.type MUL16,@object
.size MUL16,16
.align 16
sign_mask:
.long 0
.long 2147483648
.long 0
.long 2147483648
.type sign_mask,@object
.size sign_mask,16
.align 16
PI32INV:
.long 1841940611
.long 1071931184
.long 1841940611
.long 1076125488
.type PI32INV,@object
.size PI32INV,16
.align 16
P_1:
.long 1413758976
.long 1069097467
.long 1413742592
.long 1069097467
.type P_1,@object
.size P_1,16
.align 16
P_2:
.long 1734819840
.long 3174229945
.long 1280049152
.long 1028033571
.type P_2,@object
.size P_2,16
.align 16
P_3:
.long 923219018
.long 984130272
.long 57701189
.long 988383790
.type P_3,@object
.size P_3,16
.align 16
Ctable:
.long 0
.long 0
.long 0
.long 0
.long 2284589306
.long 1066820852
.long 0
.long 0
.long 0
.long 0
.long 0
.long 0
.long 1441186365
.long 1065494243
.long 1431655765
.long 1070945621
.long 0
.long 0
.long 0
.long 0
.long 236289504
.long 1064135997
.long 286331153
.long 1069617425
.long 0
.long 0
.long 0
.long 0
.long 1160476131
.long 1062722102
.long 463583772
.long 1068212666
.long 0
.long 0
.long 0
.long 0
.long 0
.long 1072693248
.long 0
.long 0
.long 0
.long 0
.long 0
.long 0
.long 1313038235
.long 1066745731
.long 0
.long 0
.long 1013878342
.long 1067152618
.long 0
.long 0
.long 3663426833
.long 1065725283
.long 3693284251
.long 1069118808
.long 650852232
.long 1065882376
.long 1996245381
.long 1071000265
.long 2008746170
.long 1064664197
.long 3055842593
.long 1068578846
.long 1495406348
.long 1064652437
.long 2269530157
.long 1069711235
.long 285563696
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.type Ctable,@object
.size Ctable,5632
.align 16
MASK_35:
.long 4294705152
.long 4294967295
.long 0
.long 0
.type MASK_35,@object
.size MASK_35,16
.align 16
Q_11:
.long 3103673719
.long 1065509018
.type Q_11,@object
.size Q_11,8
.space 8, 0x00 # pad
.align 16
Q_9:
.long 3213130307
.long 1066820768
.type Q_9,@object
.size Q_9,8
.space 8, 0x00 # pad
.align 16
Q_7:
.long 1388628139
.long 1068212666
.type Q_7,@object
.size Q_7,8
.space 8, 0x00 # pad
.align 16
Q_5:
.long 285812550
.long 1069617425
.type Q_5,@object
.size Q_5,8
.space 8, 0x00 # pad
.align 16
Q_3:
.long 1431655954
.long 1070945621
.type Q_3,@object
.size Q_3,8
.space 8, 0x00 # pad
.align 16
PI_INV_TABLE:
.long 0
.long 0
.long 2734261102
.long 1313084713
.long 4230436817
.long 4113882560
.long 3680671129
.long 1011060801
.long 4266746795
.long 3736847713
.long 3072618042
.long 1112396512
.long 105459434
.long 164729372
.long 4263373596
.long 2972297022
.long 3900847605
.long 784024708
.long 3919343654
.long 3026157121
.long 965858873
.long 2203269620
.long 2625920907
.long 3187222587
.long 536385535
.long 3724908559
.long 4012839307
.long 1510632735
.long 1832287951
.long 667617719
.long 1330003814
.long 2657085997
.long 1965537991
.long 3957715323
.long 1023883767
.long 2320667370
.long 1811636145
.long 529358088
.long 1443049542
.long 4235946923
.long 4040145953
.type PI_INV_TABLE,@object
.size PI_INV_TABLE,164
.space 12, 0x00 # pad
.align 16
PI_4:
.long 0
.long 1072243195
.long 1175561766
.long 1048908043
.type PI_4,@object
.size PI_4,16
.align 8
QQ_2:
.long 1734816687
.long 1026746297
.type QQ_2,@object
.size QQ_2,8
.align 8
ONE:
.long 0
.long 1072693248
.type ONE,@object
.size ONE,8
.align 8
TWO_POW_55:
.long 0
.long 1130364928
.type TWO_POW_55,@object
.size TWO_POW_55,8
.align 8
TWO_POW_M55:
.long 0
.long 1015021568
.type TWO_POW_M55,@object
.size TWO_POW_M55,8
.align 4
NEG_ZERO:
.long 0
.long 2147483648
.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_tan.1-.
.4byte ..___tag_value_tan.9-..___tag_value_tan.1
.2byte 0x0400
.4byte ..___tag_value_tan.3-..___tag_value_tan.1
.4byte 0x0283100e
.byte 0x04
.4byte ..___tag_value_tan.5-..___tag_value_tan.3
.2byte 0x200e
.byte 0x04
.4byte ..___tag_value_tan.6-..___tag_value_tan.5
.4byte 0x04c3100e
.4byte ..___tag_value_tan.8-..___tag_value_tan.6
.2byte 0x080e
# End
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