702 lines
17 KiB
ArmAsm
702 lines
17 KiB
ArmAsm
/*
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Copyright (c) 2014, Intel Corporation
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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* Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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* Neither the name of Intel Corporation nor the names of its contributors
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* may be used to endorse or promote products derived from this software
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* without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
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ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/******************************************************************************/
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// ALGORITHM DESCRIPTION
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// ---------------------
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//
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// Description:
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// Let K = 64 (table size).
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//
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// Four sub-domains:
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// 1. |x| < 1/(2*K)
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// expm1(x) ~ P(x)
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// 2. 1/(2*K) <= |x| <= 56*log(2)
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// x x/log(2) n
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// e - 1 = 2 = 2 * T[j] * (1 + P(y)) - 1
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// 3. 56*log(2) < x < MAX_LOG
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// x x x/log(2) n
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// e - 1 ~ e = 2 = 2 * T[j] * (1 + P(y))
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// 4. x < -56*log(2)
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// x x
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// e - 1 = -1 + e ~ -1
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// where
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// x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K]
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// m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
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// j/K
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// values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]).
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//
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// P(y) is a minimax polynomial approximation of exp(x)-1
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// on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V).
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//
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// In case 3, to avoid problems with arithmetic overflow and underflow,
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// n n1 n2
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// value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2]
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// and BIAS is a value of exponent bias.
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//
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// Special cases:
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// expm1(NaN) is NaN
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// expm1(+INF) is +INF
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// expm1(-INF) is -1
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// expm1(x) is x for subnormals
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// for finite argument, only expm1(0)=0 is exact.
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// For IEEE double
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// if x > 709.782712893383973096 then expm1(x) overflow
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin static_func
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.text
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.align __bionic_asm_align
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.type static_func, @function
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static_func:
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..B1.1:
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call ..L2
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..L2:
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popl %eax
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lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
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lea static_const_table@GOTOFF(%eax), %eax
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ret
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.size static_func,.-static_func
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# -- End static_func
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# -- Begin expm1
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ENTRY(expm1)
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# parameter 1: 8 + %ebp
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..B2.1:
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..B2.2:
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pushl %ebp
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movl %esp, %ebp
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subl $120, %esp
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movl %ebx, 64(%esp)
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call static_func
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movl %eax, %ebx
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movsd 128(%esp), %xmm0
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unpcklpd %xmm0, %xmm0
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movapd 64(%ebx), %xmm1
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movapd 48(%ebx), %xmm6
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movapd 80(%ebx), %xmm2
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movapd 96(%ebx), %xmm3
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pextrw $3, %xmm0, %eax
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andl $32767, %eax
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movl $16527, %edx
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subl %eax, %edx
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subl $16304, %eax
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orl %eax, %edx
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cmpl $-2147483648, %edx
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jae .L_2TAG_PACKET_0.0.2
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mulpd %xmm0, %xmm1
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addpd %xmm6, %xmm1
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movapd %xmm1, %xmm7
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subpd %xmm6, %xmm1
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mulpd %xmm1, %xmm2
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movapd 112(%ebx), %xmm4
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mulpd %xmm1, %xmm3
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movapd 128(%ebx), %xmm5
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subpd %xmm2, %xmm0
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movd %xmm7, %eax
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movl %eax, %ecx
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andl $63, %ecx
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shll $4, %ecx
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sarl $6, %eax
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movl %eax, %edx
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subpd %xmm3, %xmm0
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movapd 160(%ebx,%ecx), %xmm2
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movsd 144(%ebx), %xmm3
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mulpd %xmm0, %xmm4
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movapd %xmm0, %xmm1
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mulpd %xmm0, %xmm0
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mulsd %xmm0, %xmm3
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addpd %xmm4, %xmm5
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mulsd %xmm0, %xmm0
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movapd %xmm2, %xmm4
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unpckhpd %xmm2, %xmm2
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movdqa 16(%ebx), %xmm6
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pand %xmm6, %xmm7
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movdqa 32(%ebx), %xmm6
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paddq %xmm6, %xmm7
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psllq $46, %xmm7
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mulsd %xmm0, %xmm3
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mulpd %xmm5, %xmm0
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addl $894, %edx
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cmpl $1916, %edx
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ja .L_2TAG_PACKET_1.0.2
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addsd %xmm3, %xmm0
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xorpd %xmm3, %xmm3
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movl $16368, %eax
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pinsrw $3, %eax, %xmm3
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orpd %xmm7, %xmm2
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mulsd %xmm4, %xmm7
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movapd %xmm3, %xmm6
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addsd %xmm1, %xmm3
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pextrw $3, %xmm2, %edx
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pshufd $238, %xmm0, %xmm5
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psrlq $38, %xmm3
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psllq $38, %xmm3
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movapd %xmm2, %xmm4
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subsd %xmm3, %xmm6
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addsd %xmm5, %xmm0
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addsd %xmm6, %xmm1
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addsd %xmm7, %xmm4
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mulsd %xmm3, %xmm7
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mulsd %xmm2, %xmm3
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xorpd %xmm5, %xmm5
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movl $16368, %eax
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pinsrw $3, %eax, %xmm5
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addsd %xmm1, %xmm0
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movl $17184, %ecx
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subl %edx, %ecx
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subl $16256, %edx
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orl %edx, %ecx
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jl .L_2TAG_PACKET_2.0.2
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mulsd %xmm4, %xmm0
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subsd %xmm5, %xmm3
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addsd %xmm7, %xmm0
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addsd %xmm3, %xmm0
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.L_2TAG_PACKET_3.0.2:
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_2.0.2:
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cmpl $0, %edx
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jl .L_2TAG_PACKET_5.0.2
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mulsd %xmm4, %xmm0
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subsd %xmm5, %xmm7
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addsd %xmm7, %xmm0
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addsd %xmm3, %xmm0
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_5.0.2:
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mulsd %xmm4, %xmm0
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addsd %xmm7, %xmm0
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addsd %xmm3, %xmm0
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subsd %xmm5, %xmm0
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_1.0.2:
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movl 132(%esp), %ecx
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addsd %xmm0, %xmm1
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unpckhpd %xmm0, %xmm0
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addsd %xmm1, %xmm0
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cmpl $0, %ecx
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jl .L_2TAG_PACKET_6.0.2
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fstcw 24(%esp)
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movzwl 24(%esp), %edx
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orl $768, %edx
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movw %dx, 28(%esp)
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fldcw 28(%esp)
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movl %eax, %edx
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sarl $1, %eax
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subl %eax, %edx
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movdqa (%ebx), %xmm6
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pandn %xmm2, %xmm6
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addl $1023, %eax
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movd %eax, %xmm3
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psllq $52, %xmm3
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orpd %xmm3, %xmm6
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mulsd %xmm3, %xmm4
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movsd %xmm0, 8(%esp)
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fldl 8(%esp)
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movsd %xmm6, 16(%esp)
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fldl 16(%esp)
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movsd %xmm4, 16(%esp)
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fldl 16(%esp)
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addl $1023, %edx
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movd %edx, %xmm4
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psllq $52, %xmm4
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faddp %st, %st(1)
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fmul %st, %st(1)
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faddp %st, %st(1)
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movsd %xmm4, 8(%esp)
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fldl 8(%esp)
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fmulp %st, %st(1)
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fstpl 8(%esp)
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movsd 8(%esp), %xmm0
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fldcw 24(%esp)
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pextrw $3, %xmm0, %ecx
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andl $32752, %ecx
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cmpl $32752, %ecx
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jae .L_2TAG_PACKET_7.0.2
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jmp .L_2TAG_PACKET_4.0.2
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cmpl $-2147483648, %ecx
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jb .L_2TAG_PACKET_7.0.2
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_7.0.2:
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movl $41, %edx
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.L_2TAG_PACKET_8.0.2:
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movsd %xmm0, (%esp)
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movsd 128(%esp), %xmm0
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fldl (%esp)
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jmp .L_2TAG_PACKET_9.0.2
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.L_2TAG_PACKET_10.0.2:
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cmpl $2146435072, %eax
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jae .L_2TAG_PACKET_11.0.2
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movsd 1272(%ebx), %xmm0
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mulsd %xmm0, %xmm0
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movl $41, %edx
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jmp .L_2TAG_PACKET_8.0.2
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.L_2TAG_PACKET_11.0.2:
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movl 132(%esp), %eax
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movl 128(%esp), %edx
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movl %eax, %ecx
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andl $2147483647, %eax
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cmpl $2146435072, %eax
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ja .L_2TAG_PACKET_12.0.2
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cmpl $0, %edx
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jne .L_2TAG_PACKET_12.0.2
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cmpl $0, %ecx
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jl .L_2TAG_PACKET_13.0.2
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movsd 1256(%ebx), %xmm0
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_13.0.2:
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_12.0.2:
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movsd 128(%esp), %xmm0
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addsd %xmm0, %xmm0
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_14.0.2:
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addl $16304, %eax
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cmpl $15504, %eax
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jb .L_2TAG_PACKET_15.0.2
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movapd 1184(%ebx), %xmm2
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pshufd $68, %xmm0, %xmm1
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movapd 1200(%ebx), %xmm3
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movapd 1216(%ebx), %xmm4
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movsd 1232(%ebx), %xmm5
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mulsd %xmm1, %xmm1
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xorpd %xmm6, %xmm6
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movl $16352, %eax
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pinsrw $3, %eax, %xmm6
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mulpd %xmm0, %xmm2
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xorpd %xmm7, %xmm7
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movl $16368, %edx
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pinsrw $3, %edx, %xmm7
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addpd %xmm3, %xmm2
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mulsd %xmm1, %xmm5
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pshufd $228, %xmm1, %xmm3
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mulpd %xmm1, %xmm1
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mulsd %xmm0, %xmm6
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mulpd %xmm0, %xmm2
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addpd %xmm4, %xmm2
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movapd %xmm7, %xmm4
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addsd %xmm6, %xmm7
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mulpd %xmm3, %xmm1
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psrlq $27, %xmm7
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psllq $27, %xmm7
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movsd 1288(%ebx), %xmm3
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subsd %xmm7, %xmm4
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mulpd %xmm1, %xmm2
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addsd %xmm4, %xmm6
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pshufd $238, %xmm2, %xmm1
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addsd %xmm2, %xmm6
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andpd %xmm0, %xmm3
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movapd %xmm0, %xmm4
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addsd %xmm6, %xmm1
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subsd %xmm3, %xmm0
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addsd %xmm5, %xmm1
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mulsd %xmm7, %xmm3
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mulsd %xmm7, %xmm0
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mulsd %xmm1, %xmm4
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addsd %xmm4, %xmm0
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addsd %xmm3, %xmm0
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_15.0.2:
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cmpl $16, %eax
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jae .L_2TAG_PACKET_3.0.2
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movapd %xmm0, %xmm2
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movd %xmm0, %eax
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psrlq $31, %xmm2
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movd %xmm2, %ecx
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orl %ecx, %eax
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je .L_2TAG_PACKET_3.0.2
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movl $16, %edx
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xorpd %xmm1, %xmm1
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pinsrw $3, %edx, %xmm1
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mulsd %xmm1, %xmm1
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movl $42, %edx
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jmp .L_2TAG_PACKET_8.0.2
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.L_2TAG_PACKET_0.0.2:
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cmpl $0, %eax
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jl .L_2TAG_PACKET_14.0.2
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movl 132(%esp), %eax
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cmpl $1083179008, %eax
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jge .L_2TAG_PACKET_10.0.2
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cmpl $-1048576, %eax
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jae .L_2TAG_PACKET_11.0.2
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.L_2TAG_PACKET_6.0.2:
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xorpd %xmm0, %xmm0
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movl $49136, %eax
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pinsrw $3, %eax, %xmm0
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jmp .L_2TAG_PACKET_4.0.2
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.L_2TAG_PACKET_4.0.2:
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movsd %xmm0, 48(%esp)
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fldl 48(%esp)
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.L_2TAG_PACKET_9.0.2:
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movl 64(%esp), %ebx
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movl %ebp, %esp
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popl %ebp
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ret
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..B2.3:
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END(expm1)
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# -- End expm1
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# Start file scope ASM
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ALIAS_SYMBOL(expm1l, expm1);
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# End file scope ASM
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.section .rodata, "a"
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.align 16
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.align 16
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static_const_table:
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.long 0
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.long 4293918720
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.long 0
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.long 4293918720
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.long 4294967232
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.long 0
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.long 4294967232
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.long 0
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.long 65472
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.long 0
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.long 65472
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.long 0
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.long 0
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.long 1127743488
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.long 0
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.long 1127743488
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.long 1697350398
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.long 1079448903
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.long 1697350398
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.long 1079448903
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.long 4277796864
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.long 1065758274
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.long 4277796864
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.long 1065758274
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.long 3164486458
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.long 1025308570
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.long 3164486458
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.long 1025308570
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.long 1963358694
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.long 1065423121
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.long 1431655765
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.long 1069897045
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.long 1431655765
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.long 1067799893
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.long 0
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.long 1071644672
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.long 381774871
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.long 1062650220
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.long 381774871
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.long 1062650220
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.long 0
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.long 0
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.long 0
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.long 0
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.long 1000070955
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.long 1042145304
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.long 1040187392
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.long 11418
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.long 988267849
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.long 1039500660
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.long 3539992576
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.long 22960
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.long 36755401
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.long 1042114290
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.long 402653184
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.long 34629
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.long 3634769483
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.long 1042178627
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.long 1820327936
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.long 46424
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.long 2155991225
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.long 1041560680
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.long 847249408
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.long 58348
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.long 2766913307
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.long 1039293264
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.long 3489660928
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.long 70401
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.long 3651174602
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.long 1040488175
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.long 2927624192
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.long 82586
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.long 3073892131
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.long 1042240606
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.long 1006632960
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.long 94904
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.long 1328391742
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.long 1042019037
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.long 3942645760
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.long 107355
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.long 2650893825
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.long 1041903210
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.long 822083584
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.long 119943
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.long 2397289153
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.long 1041802037
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.long 2281701376
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.long 132667
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.long 430997175
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.long 1042110606
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.long 1845493760
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.long 145530
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.long 1230936525
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.long 1041801015
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.long 1702887424
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.long 158533
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.long 740675935
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.long 1040178913
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.long 4110417920
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.long 171677
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.long 3489810261
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.long 1041825986
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.long 2793406464
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.long 184965
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.long 2532600530
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.long 1040767882
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.long 167772160
|
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.type static_const_table,@object
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.size static_const_table,1296
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.data
|
|
.section .note.GNU-stack, ""
|
|
# End
|