1407 lines
30 KiB
ArmAsm
1407 lines
30 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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/******************************************************************************/
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// ALGORITHM DESCRIPTION
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// ---------------------
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//
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// sinh(x)=(exp(x)-exp(-x))/2
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//
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// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
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// log2(e) rounded to 26 bits (high part) plus a double precision low part is
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// L2EH+L2EL (upper 26, lower 53 bits)
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//
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// Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7),
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// f=0.b1 b2 ... b7, k integer
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// 2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f]
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// Tp stores the high 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision
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//
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// e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14},
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// for |x| in [23/64,3*2^7)
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// e^{-|x|}=2^{-k-f}*2^{-r}
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//
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// e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp=
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// =2^k*Tp+2^k*Tp*P15+2^k*Dp
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// e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4)+2^{-k}*Dn
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//
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// For |x| in [1/8, 3*2^7), sinh(x) is formed as
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// RN(2^k*Tp-2^{-k}*Tn)+2^k*Tp*P15-2^{-k}*Tn*P`15-2^{-k}*TnL-2^{-k}*Dn+2^k*Dp
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//
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// For x in (3*2^7, 3*2^8), sign(x)*(e^|x|)/2 is returned, and
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// the result is checked for overflow.
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//
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// For |x|<23/64, a Taylor polynomial expansion is used (degree 13)
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// To reduce rounding errors, the p3*x^3 term is computed as
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// (p3*xh^3)_high+[(p3*xl*(3*x*xh+xl^2))+(p3*xh^3)_low],
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// where x=xh+xl, (xh are the leading 17 bits of x), and
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// (p3*xh^3)_high=RN(x+p3*xh^3)-x
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// (error bound for polynomial expansion is below 0.51 ulp)
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//
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// Special cases:
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// sinh(NaN) = quiet NaN, and raise invalid exception
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// sinh(+/-INF) = +/-INF
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// sinh(x) = x for subnormals
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// for finite argument, only sinh(0)=0 is exact
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// For IEEE double
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// sinh(x) overflows for x >
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// 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2)
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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 sinh
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ENTRY(sinh)
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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 $104, %esp
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movl %ebx, 40(%esp)
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call static_func
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movl %eax, %ebx
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movsd 112(%esp), %xmm0
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movsd 4272(%ebx), %xmm3
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xorpd %xmm4, %xmm4
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movsd 4192(%ebx), %xmm1
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movsd 4200(%ebx), %xmm2
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movl $32768, %eax
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pinsrw $3, %eax, %xmm4
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movsd 4096(%ebx), %xmm6
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pextrw $3, %xmm0, %ecx
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andpd %xmm0, %xmm3
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andnpd %xmm0, %xmm4
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pshufd $68, %xmm4, %xmm5
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movl $32768, %edx
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andl %ecx, %edx
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andl $32767, %ecx
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subl $16343, %ecx
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cmpl $177, %ecx
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jae .L_2TAG_PACKET_0.0.2
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subsd %xmm3, %xmm4
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mulsd %xmm1, %xmm3
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mulsd %xmm5, %xmm2
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cvtsd2si %xmm3, %eax
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shll $3, %edx
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orl %edx, %eax
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movapd %xmm3, %xmm7
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addsd %xmm6, %xmm3
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mulsd %xmm4, %xmm1
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xorpd %xmm5, %xmm5
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subsd %xmm6, %xmm3
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movapd 4112(%ebx), %xmm4
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addsd %xmm1, %xmm2
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movapd 4128(%ebx), %xmm6
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subsd %xmm3, %xmm7
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movl $32704, %edx
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pinsrw $3, %edx, %xmm5
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movapd 4144(%ebx), %xmm1
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addsd %xmm7, %xmm2
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movl $127, %edx
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andl %eax, %edx
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addl %edx, %edx
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shrl $3, %eax
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andl $65520, %eax
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addl $16352, %eax
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xorpd %xmm0, %xmm0
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cmpl $161, %ecx
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jae .L_2TAG_PACKET_1.0.2
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pshufd $68, %xmm5, %xmm5
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pinsrw $3, %eax, %xmm0
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pshufd $68, %xmm0, %xmm0
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psubw %xmm0, %xmm5
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mulpd (%ebx,%edx,8), %xmm0
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mulpd 2048(%ebx,%edx,8), %xmm5
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pshufd $68, %xmm2, %xmm3
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movapd 4160(%ebx), %xmm7
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pshufd $68, %xmm2, %xmm2
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mulpd %xmm3, %xmm3
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mulpd %xmm2, %xmm4
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mulpd %xmm2, %xmm6
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mulpd 4176(%ebx), %xmm2
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mulpd %xmm3, %xmm1
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mulpd %xmm3, %xmm7
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mulpd %xmm3, %xmm4
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mulpd %xmm3, %xmm1
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addpd %xmm7, %xmm6
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movapd %xmm0, %xmm7
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addpd %xmm1, %xmm4
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shufpd $0, %xmm5, %xmm7
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subpd %xmm5, %xmm0
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mulpd %xmm7, %xmm2
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addpd %xmm6, %xmm4
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subsd %xmm0, %xmm7
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mulpd %xmm2, %xmm4
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pshufd $238, %xmm0, %xmm6
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subsd %xmm5, %xmm7
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addpd %xmm2, %xmm4
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addsd %xmm6, %xmm7
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pshufd $238, %xmm4, %xmm2
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addsd %xmm7, %xmm2
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addsd %xmm4, %xmm2
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addsd %xmm2, %xmm0
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_1.0.2:
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subl $16352, %eax
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movl %eax, %ecx
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andl $32752, %eax
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shrl $1, %eax
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andl $65520, %eax
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subl %eax, %ecx
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addl $16352, %eax
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pinsrw $3, %eax, %xmm0
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pshufd $68, %xmm0, %xmm0
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mulpd (%ebx,%edx,8), %xmm0
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pshufd $68, %xmm2, %xmm3
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movsd 4160(%ebx), %xmm7
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mulsd %xmm3, %xmm3
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mulsd %xmm2, %xmm4
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mulsd %xmm2, %xmm6
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mulsd 4176(%ebx), %xmm2
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mulsd %xmm3, %xmm1
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mulsd %xmm3, %xmm7
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mulsd %xmm3, %xmm4
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addl $16368, %ecx
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pinsrw $3, %ecx, %xmm5
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mulsd %xmm3, %xmm1
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addsd %xmm7, %xmm6
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addsd %xmm1, %xmm4
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mulsd %xmm0, %xmm2
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addsd %xmm6, %xmm4
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mulsd %xmm2, %xmm4
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pshufd $238, %xmm0, %xmm6
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addsd %xmm6, %xmm4
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addsd %xmm4, %xmm2
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addsd %xmm2, %xmm0
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mulsd %xmm5, %xmm0
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pextrw $3, %xmm0, %eax
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andl $32752, %eax
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movl $127, %edx
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cmpl $32752, %eax
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je .L_2TAG_PACKET_3.0.2
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_0.0.2:
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addl $16343, %ecx
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cmpl $16343, %ecx
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ja .L_2TAG_PACKET_4.0.2
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cmpl $15856, %ecx
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jb .L_2TAG_PACKET_5.0.2
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movapd 4208(%ebx), %xmm1
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pshufd $68, %xmm0, %xmm6
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mulpd %xmm5, %xmm5
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movapd 4224(%ebx), %xmm2
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pshufd $68, %xmm0, %xmm7
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movapd 4240(%ebx), %xmm3
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pshufd $68, %xmm0, %xmm4
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andpd 4256(%ebx), %xmm6
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mulpd %xmm5, %xmm1
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mulsd %xmm5, %xmm2
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subpd %xmm6, %xmm4
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mulpd %xmm5, %xmm7
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addpd %xmm3, %xmm1
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pshufd $68, %xmm6, %xmm3
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mulpd %xmm5, %xmm5
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mulsd %xmm7, %xmm2
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mulpd %xmm7, %xmm1
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pshufd $68, %xmm0, %xmm7
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mulsd %xmm6, %xmm6
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addsd %xmm7, %xmm7
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mulsd %xmm4, %xmm4
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mulpd %xmm5, %xmm1
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addsd %xmm0, %xmm7
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mulsd %xmm3, %xmm6
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mulsd %xmm3, %xmm7
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pshufd $238, %xmm1, %xmm3
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mulsd %xmm5, %xmm1
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pshufd $238, %xmm4, %xmm5
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addsd %xmm2, %xmm3
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pshufd $238, %xmm2, %xmm2
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addsd %xmm4, %xmm7
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movapd %xmm0, %xmm4
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mulsd %xmm2, %xmm6
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mulsd %xmm5, %xmm7
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addsd %xmm6, %xmm0
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mulsd %xmm2, %xmm7
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subsd %xmm0, %xmm4
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addsd %xmm7, %xmm1
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addsd %xmm4, %xmm6
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addsd %xmm3, %xmm1
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addsd %xmm6, %xmm1
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addsd %xmm1, %xmm0
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_5.0.2:
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cmpl $16, %ecx
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jae .L_2TAG_PACKET_6.0.2
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movapd %xmm0, %xmm1
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mulsd %xmm1, %xmm1
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_6.0.2:
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xorpd %xmm2, %xmm2
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movl $17392, %ecx
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pinsrw $3, %ecx, %xmm2
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xorpd %xmm3, %xmm3
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movl $15344, %edx
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pinsrw $3, %edx, %xmm3
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mulsd %xmm0, %xmm2
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addsd %xmm2, %xmm0
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mulsd %xmm3, %xmm0
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_4.0.2:
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cmpl $32752, %ecx
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jae .L_2TAG_PACKET_7.0.2
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xorpd %xmm0, %xmm0
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movl $32736, %eax
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pinsrw $3, %eax, %xmm0
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orl %edx, %eax
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pinsrw $3, %eax, %xmm1
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mulsd %xmm1, %xmm0
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movl $127, %edx
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.L_2TAG_PACKET_3.0.2:
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movsd %xmm0, (%esp)
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movsd 112(%esp), %xmm0
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fldl (%esp)
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jmp .L_2TAG_PACKET_8.0.2
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.L_2TAG_PACKET_7.0.2:
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xorpd %xmm1, %xmm1
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movl $32768, %eax
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pinsrw $3, %eax, %xmm1
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andnpd %xmm0, %xmm1
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mulsd %xmm1, %xmm0
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jmp .L_2TAG_PACKET_2.0.2
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.L_2TAG_PACKET_2.0.2:
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movsd %xmm0, 24(%esp)
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fldl 24(%esp)
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.L_2TAG_PACKET_8.0.2:
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movl 40(%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(sinh)
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# -- End sinh
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# Start file scope ASM
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ALIAS_SYMBOL(sinhl, sinh);
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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 1072693248
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.long 0
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.long 0
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.long 2851812149
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.long 1072698941
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.long 2595802551
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.long 1016815913
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.long 1048019041
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.long 1072704666
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.long 1398474845
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.long 3161559171
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.long 3899555717
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.long 1072710421
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.long 427280750
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.long 3163595548
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.long 3541402996
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.long 1072716208
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.long 2759177317
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.long 1015903202
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.long 702412510
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.long 1072722027
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.long 3803266087
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.long 3163328991
|
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.long 410360776
|
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.long 1072727877
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|
.long 1269990655
|
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.long 1013024446
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.long 3402036099
|
|
.long 1072733758
|
|
.long 405889334
|
|
.long 1016154232
|
|
.long 1828292879
|
|
.long 1072739672
|
|
.long 1255956747
|
|
.long 1016636974
|
|
.long 728909815
|
|
.long 1072745618
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|
.long 383930225
|
|
.long 1016078044
|
|
.long 852742562
|
|
.long 1072751596
|
|
.long 667253586
|
|
.long 1010842135
|
|
.long 2952712987
|
|
.long 1072757606
|
|
.long 3293494651
|
|
.long 3161168877
|
|
.long 3490863953
|
|
.long 1072763649
|
|
.long 960797498
|
|
.long 3163997456
|
|
.long 3228316108
|
|
.long 1072769725
|
|
.long 3010241991
|
|
.long 3159471380
|
|
.long 2930322912
|
|
.long 1072775834
|
|
.long 2599499422
|
|
.long 3163762623
|
|
.long 3366293073
|
|
.long 1072781976
|
|
.long 3119426314
|
|
.long 1015169130
|
|
.long 1014845819
|
|
.long 1072788152
|
|
.long 3117910646
|
|
.long 3162607681
|
|
.long 948735466
|
|
.long 1072794361
|
|
.long 3516338028
|
|
.long 3163623459
|
|
.long 3949972341
|
|
.long 1072800603
|
|
.long 2068408548
|
|
.long 1015962444
|
|
.long 2214878420
|
|
.long 1072806880
|
|
.long 892270087
|
|
.long 3164164998
|
|
.long 828946858
|
|
.long 1072813191
|
|
.long 10642492
|
|
.long 1016988014
|
|
.long 586995997
|
|
.long 1072819536
|
|
.long 41662348
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|
.long 3163676568
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|
.long 2288159958
|
|
.long 1072825915
|
|
.long 2169144469
|
|
.long 1015924597
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|
.long 2440944790
|
|
.long 1072832329
|
|
.long 2492769774
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|
.long 1015196030
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|
.long 1853186616
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|
.long 1072838778
|
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.long 3066496371
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|
.long 1016705150
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|
.long 1337108031
|
|
.long 1072845262
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|
.long 3203724452
|
|
.long 1015726421
|
|
.long 1709341917
|
|
.long 1072851781
|
|
.long 2571168217
|
|
.long 1015201075
|
|
.long 3790955393
|
|
.long 1072858335
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|
.long 2352942462
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|
.long 3164228666
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|
.long 4112506593
|
|
.long 1072864925
|
|
.long 2947355221
|
|
.long 1015419624
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|
.long 3504003472
|
|
.long 1072871551
|
|
.long 3594001060
|
|
.long 3158379228
|
|
.long 2799960843
|
|
.long 1072878213
|
|
.long 1423655381
|
|
.long 1016070727
|
|
.long 2839424854
|
|
.long 1072884911
|
|
.long 1171596163
|
|
.long 1014090255
|
|
.long 171030293
|
|
.long 1072891646
|
|
.long 3526460132
|
|
.long 1015477354
|
|
.long 4232894513
|
|
.long 1072898416
|
|
.long 2383938684
|
|
.long 1015717095
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.type static_const_table,@object
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|
.size static_const_table,4280
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|
.data
|
|
.section .note.GNU-stack, ""
|
|
# End
|