637 lines
14 KiB
ArmAsm
637 lines
14 KiB
ArmAsm
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/*
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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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// x x/log(2) n
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// e = 2 = 2 * T[j] * (1 + P(y))
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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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// 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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// where BIAS is a value of exponent bias.
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//
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// Special cases:
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// exp(NaN) = NaN
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// exp(+INF) = +INF
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// exp(-INF) = 0
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// exp(x) = 1 for subnormals
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// for finite argument, only exp(0)=1 is exact
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// For IEEE double
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// if x > 709.782712893383973096 then exp(x) overflow
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// if x < -745.133219101941108420 then exp(x) underflow
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin exp
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ENTRY(exp)
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# parameter 1: %xmm0
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..B1.1:
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..___tag_value_exp.1:
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subq $24, %rsp
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..___tag_value_exp.3:
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movsd %xmm0, 8(%rsp)
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..B1.2:
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unpcklpd %xmm0, %xmm0
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movapd cv(%rip), %xmm1
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movapd Shifter(%rip), %xmm6
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movapd 16+cv(%rip), %xmm2
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movapd 32+cv(%rip), %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 $15504, %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 64+cv(%rip), %xmm4
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mulpd %xmm1, %xmm3
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movapd 80+cv(%rip), %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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movdqa mmask(%rip), %xmm6
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pand %xmm6, %xmm7
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movdqa bias(%rip), %xmm6
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paddq %xmm6, %xmm7
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psllq $46, %xmm7
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subpd %xmm3, %xmm0
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lea Tbl_addr(%rip), %r8
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movapd (%rcx,%r8), %xmm2
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mulpd %xmm0, %xmm4
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movapd %xmm0, %xmm6
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movapd %xmm0, %xmm1
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mulpd %xmm6, %xmm6
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mulpd %xmm6, %xmm0
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addpd %xmm4, %xmm5
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mulsd %xmm6, %xmm0
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mulpd 48+cv(%rip), %xmm6
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addsd %xmm2, %xmm1
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unpckhpd %xmm2, %xmm2
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mulpd %xmm5, %xmm0
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addsd %xmm0, %xmm1
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orpd %xmm7, %xmm2
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unpckhpd %xmm0, %xmm0
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addsd %xmm1, %xmm0
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addsd %xmm6, %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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mulsd %xmm2, %xmm0
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addsd %xmm2, %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_1.0.2:
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xorpd %xmm3, %xmm3
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movapd ALLONES(%rip), %xmm4
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movl $-1022, %edx
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subl %eax, %edx
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movd %edx, %xmm5
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psllq %xmm5, %xmm4
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movl %eax, %ecx
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sarl $1, %eax
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pinsrw $3, %eax, %xmm3
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movapd ebias(%rip), %xmm6
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psllq $4, %xmm3
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psubd %xmm3, %xmm2
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mulsd %xmm2, %xmm0
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cmpl $52, %edx
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jg .L_2TAG_PACKET_2.0.2
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andpd %xmm2, %xmm4
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paddd %xmm6, %xmm3
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subsd %xmm4, %xmm2
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addsd %xmm2, %xmm0
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cmpl $1023, %ecx
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jge .L_2TAG_PACKET_3.0.2
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pextrw $3, %xmm0, %ecx
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andl $32768, %ecx
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orl %ecx, %edx
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cmpl $0, %edx
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je .L_2TAG_PACKET_4.0.2
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movapd %xmm0, %xmm6
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addsd %xmm4, %xmm0
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mulsd %xmm3, %xmm0
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pextrw $3, %xmm0, %ecx
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andl $32752, %ecx
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cmpl $0, %ecx
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je .L_2TAG_PACKET_5.0.2
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jmp ..B1.5
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.L_2TAG_PACKET_5.0.2:
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mulsd %xmm3, %xmm6
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mulsd %xmm3, %xmm4
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movq %xmm6, %xmm0
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pxor %xmm4, %xmm6
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psrad $31, %xmm6
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pshufd $85, %xmm6, %xmm6
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psllq $1, %xmm0
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psrlq $1, %xmm0
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pxor %xmm6, %xmm0
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psrlq $63, %xmm6
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paddq %xmm6, %xmm0
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paddq %xmm4, %xmm0
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movl $15, (%rsp)
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_4.0.2:
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addsd %xmm4, %xmm0
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mulsd %xmm3, %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_3.0.2:
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addsd %xmm4, %xmm0
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mulsd %xmm3, %xmm0
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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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jnb .L_2TAG_PACKET_7.0.2
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jmp ..B1.5
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.L_2TAG_PACKET_2.0.2:
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paddd %xmm6, %xmm3
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addpd %xmm2, %xmm0
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mulsd %xmm3, %xmm0
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movl $15, (%rsp)
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_8.0.2:
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cmpl $2146435072, %eax
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jae .L_2TAG_PACKET_9.0.2
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movl 12(%rsp), %eax
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cmpl $-2147483648, %eax
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jae .L_2TAG_PACKET_10.0.2
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movsd XMAX(%rip), %xmm0
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mulsd %xmm0, %xmm0
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.L_2TAG_PACKET_7.0.2:
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movl $14, (%rsp)
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_10.0.2:
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movsd XMIN(%rip), %xmm0
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mulsd %xmm0, %xmm0
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movl $15, (%rsp)
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_9.0.2:
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movl 8(%rsp), %edx
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cmpl $2146435072, %eax
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ja .L_2TAG_PACKET_11.0.2
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cmpl $0, %edx
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jne .L_2TAG_PACKET_11.0.2
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movl 12(%rsp), %eax
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cmpl $2146435072, %eax
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jne .L_2TAG_PACKET_12.0.2
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movsd INF(%rip), %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_12.0.2:
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movsd ZERO(%rip), %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_11.0.2:
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movsd 8(%rsp), %xmm0
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addsd %xmm0, %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_0.0.2:
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movl 12(%rsp), %eax
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andl $2147483647, %eax
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cmpl $1083179008, %eax
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jae .L_2TAG_PACKET_8.0.2
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movsd 8(%rsp), %xmm0
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addsd ONE_val(%rip), %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_6.0.2:
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movq %xmm0, 16(%rsp)
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..B1.3:
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movq 16(%rsp), %xmm0
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.L_2TAG_PACKET_13.0.2:
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..B1.5:
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addq $24, %rsp
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..___tag_value_exp.4:
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ret
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..___tag_value_exp.5:
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END(exp)
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# -- End exp
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.section .rodata, "a"
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.align 16
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.align 16
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cv:
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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 4294967294
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.long 1071644671
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.long 4294967294
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.long 1071644671
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.long 3811088480
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.long 1062650204
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.long 1432067621
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.long 1067799893
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.long 3230715663
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.long 1065423125
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.long 1431604129
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.long 1069897045
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.type cv,@object
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.size cv,96
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.align 16
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Shifter:
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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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.type Shifter,@object
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.size Shifter,16
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.align 16
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mmask:
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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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.type mmask,@object
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.size mmask,16
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.align 16
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bias:
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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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.type bias,@object
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.size bias,16
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.align 16
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Tbl_addr:
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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 235107661
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.long 1018002367
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.long 1048019040
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.long 11418
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.long 896005651
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.long 1015861842
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.long 3541402996
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.long 22960
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.long 1642514529
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.long 1012987726
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.long 410360776
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.long 34629
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.long 1568897900
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.long 1016568486
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.long 1828292879
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.long 46424
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.long 1882168529
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.long 1010744893
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.long 852742562
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.long 58348
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.long 509852888
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.long 1017336174
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.long 3490863952
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.long 70401
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.long 653277307
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.long 1017431380
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.long 2930322911
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.long 82586
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.long 1649557430
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.long 1017729363
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.long 1014845818
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.long 94904
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.long 1058231231
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.long 1015777676
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.long 3949972341
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.long 107355
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.long 1044000607
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.long 1016786167
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.long 828946858
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.long 119943
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.long 1151779725
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.long 1015705409
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.long 2288159958
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.long 132667
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.long 3819481236
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||
|
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||
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||
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||
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|
||
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||
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|
||
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||
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|
||
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|
||
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||
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|
||
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|
||
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||
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|
||
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|
||
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||
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|
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||
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||
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|
||
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|
||
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||
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|
||
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
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|
||
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|
||
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|
||
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|
||
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|
||
|
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|
||
|
|
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|
||
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|
||
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|
||
|
|
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|
||
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|
||
|
|
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|
||
|
|
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|
||
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|
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|
||
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|
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|
||
|
|
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|
||
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|
||
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|
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|
||
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|
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|
||
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|
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|
||
|
|
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|
||
|
|
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|
||
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|
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|
||
|
|
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|
||
|
|
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|
||
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|
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|
||
|
|
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|
||
|
|
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|
||
|
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|
||
|
|
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|
||
|
|
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|
||
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|
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|
||
|
|
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|
||
|
|
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|
||
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
.long 1242007931
|
||
|
|
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|
||
|
|
.long 2789017511
|
||
|
|
.long 1014276997
|
||
|
|
.long 3707479175
|
||
|
|
.long 874520
|
||
|
|
.long 3586233004
|
||
|
|
.long 1015962192
|
||
|
|
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|
||
|
|
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|
||
|
|
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|
||
|
|
.long 1016642419
|
||
|
|
.long 863738718
|
||
|
|
.long 916631
|
||
|
|
.long 1614448851
|
||
|
|
.long 1014281732
|
||
|
|
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|
||
|
|
.long 938030
|
||
|
|
.long 2450082086
|
||
|
|
.long 1016164135
|
||
|
|
.long 2728693977
|
||
|
|
.long 959663
|
||
|
|
.long 1101668360
|
||
|
|
.long 1015989180
|
||
|
|
.long 3999357479
|
||
|
|
.long 981531
|
||
|
|
.long 835814894
|
||
|
|
.long 1015702697
|
||
|
|
.long 1533953344
|
||
|
|
.long 1003638
|
||
|
|
.long 1301400989
|
||
|
|
.long 1014466875
|
||
|
|
.long 2174652632
|
||
|
|
.long 1025985
|
||
|
|
.type Tbl_addr,@object
|
||
|
|
.size Tbl_addr,1024
|
||
|
|
.align 16
|
||
|
|
ALLONES:
|
||
|
|
.long 4294967295
|
||
|
|
.long 4294967295
|
||
|
|
.long 4294967295
|
||
|
|
.long 4294967295
|
||
|
|
.type ALLONES,@object
|
||
|
|
.size ALLONES,16
|
||
|
|
.align 16
|
||
|
|
ebias:
|
||
|
|
.long 0
|
||
|
|
.long 1072693248
|
||
|
|
.long 0
|
||
|
|
.long 1072693248
|
||
|
|
.type ebias,@object
|
||
|
|
.size ebias,16
|
||
|
|
.align 4
|
||
|
|
XMAX:
|
||
|
|
.long 4294967295
|
||
|
|
.long 2146435071
|
||
|
|
.type XMAX,@object
|
||
|
|
.size XMAX,8
|
||
|
|
.align 4
|
||
|
|
XMIN:
|
||
|
|
.long 0
|
||
|
|
.long 1048576
|
||
|
|
.type XMIN,@object
|
||
|
|
.size XMIN,8
|
||
|
|
.align 4
|
||
|
|
INF:
|
||
|
|
.long 0
|
||
|
|
.long 2146435072
|
||
|
|
.type INF,@object
|
||
|
|
.size INF,8
|
||
|
|
.align 4
|
||
|
|
ZERO:
|
||
|
|
.long 0
|
||
|
|
.long 0
|
||
|
|
.type ZERO,@object
|
||
|
|
.size ZERO,8
|
||
|
|
.align 4
|
||
|
|
ONE_val:
|
||
|
|
.long 0
|
||
|
|
.long 1072693248
|
||
|
|
.type ONE_val,@object
|
||
|
|
.size ONE_val,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 0x0000001c
|
||
|
|
.4byte 0x0000001c
|
||
|
|
.4byte ..___tag_value_exp.1-.
|
||
|
|
.4byte ..___tag_value_exp.5-..___tag_value_exp.1
|
||
|
|
.2byte 0x0400
|
||
|
|
.4byte ..___tag_value_exp.3-..___tag_value_exp.1
|
||
|
|
.2byte 0x200e
|
||
|
|
.byte 0x04
|
||
|
|
.4byte ..___tag_value_exp.4-..___tag_value_exp.3
|
||
|
|
.2byte 0x080e
|
||
|
|
.byte 0x00
|
||
|
|
# End
|