5d4f0e6a26
Change-Id: I31bf601448a9427f825517f3a0ff24de47f49bfa Signed-off-by: Jingwei Zhang <jingwei.zhang@intel.com> Signed-off-by: Mingwei Shi <mingwei.shi@intel.com>
1392 lines
28 KiB
ArmAsm
1392 lines
28 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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// tanh(x)=(exp(x)-exp(-x))/(exp(x)+exp(-x))=(1-exp(-2*x))/(1+exp(-2*x))
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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)*2^8*2=int(xH*L2EH*2^9),
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// f=0.b1 b2 ... b8, k integer
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// 2^{-f} is approximated as Tn[f]+Dn[f]
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// Tn stores the high 53 bits, Dn stores (2^{-f}-Tn[f]) rounded to double precision
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//
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// r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-9}+2^{-14},
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// for |x| in [23/64,3*2^7)
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// e^{-2*|x|}=2^{-k-f}*2^{-r} ~ 2^{-k}*(Tn+Dn)*(1+p)=(T0+D0)*(1+p)
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//
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// For |x| in [2^{-4},2^5):
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// 2^{-r}-1 ~ p=c1*r+c2*r^2+..+c5*r^5
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// Let R=1/(1+T0+p*T0), truncated to 35 significant bits
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// R=1/(1+T0+D0+p*(T0+D0))*(1+eps), |eps|<2^{-33}
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// 1+T0+D0+p*(T0+D0)=KH+KL, where
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// KH=(1+T0+c1*r*T0)_high (leading 17 bits)
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// KL=T0_low+D0+(c1*r*T0)_low+c1*r*D0+(c2*r^2+..c5*r^5)*T0
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// eps ~ (R*KH-1)+R*KL
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// 1/(1+T0+D0+p*(T0+D0)) ~ R-R*eps
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// The result is approximated as (1-T0-D0-(T0+D0)*p)*(R-R*eps)
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// 1-T0-D0-(T0+D0)*p=-((KH-2)+KL)
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// The result is formed as
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// (KH-2)*R+(-(KH-2)*R*eps+(KL*R-KL*R*eps)), with the correct sign
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// set at the end
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//
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// For |x| in [2^{-64},2^{-4}):
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// A Taylor series expansion is used (x+p3*x^3+..+p13*x^{13})
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//
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// For |x|<2^{-64}: x is returned
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//
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// For |x|>=2^32: return +/-1
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//
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// Special cases:
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// tanh(NaN) = quiet NaN, and raise invalid exception
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// tanh(INF) = that INF
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// tanh(+/-0) = +/-0
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin tanh
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ENTRY(tanh)
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# parameter 1: %xmm0
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..B1.1:
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..___tag_value_tanh.1:
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pushq %rsi
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..___tag_value_tanh.3:
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..B1.2:
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movsd HALFMASK(%rip), %xmm3
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xorpd %xmm4, %xmm4
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movsd L2E(%rip), %xmm1
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movsd 8+L2E(%rip), %xmm2
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movl $32768, %eax
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pinsrw $3, %eax, %xmm4
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movsd Shifter(%rip), %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 $16304, %ecx
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cmpl $144, %ecx
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jae .L_2TAG_PACKET_0.0.1
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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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movq %xmm3, %xmm7
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addsd %xmm6, %xmm3
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mulsd %xmm4, %xmm1
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movsd ONEMASK(%rip), %xmm4
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subsd %xmm6, %xmm3
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xorpd %xmm0, %xmm0
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addsd %xmm1, %xmm2
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subsd %xmm3, %xmm7
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movapd cv(%rip), %xmm6
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addsd %xmm7, %xmm2
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movl $255, %ecx
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andl %eax, %ecx
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addl %ecx, %ecx
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lea T2_neg_f(%rip), %r8
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movapd (%r8,%rcx,8), %xmm5
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shrl $4, %eax
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andl $65520, %eax
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subl $16368, %eax
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negl %eax
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pinsrw $3, %eax, %xmm0
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movapd 16+cv(%rip), %xmm1
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pshufd $68, %xmm0, %xmm0
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mulpd %xmm5, %xmm0
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movsd 32+cv(%rip), %xmm7
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pshufd $68, %xmm2, %xmm2
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movq %xmm4, %xmm5
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addsd %xmm0, %xmm4
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mulpd %xmm2, %xmm6
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mulsd %xmm2, %xmm7
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mulpd %xmm2, %xmm2
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addpd %xmm6, %xmm1
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mulsd %xmm2, %xmm2
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movsd ONEMASK(%rip), %xmm3
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mulpd %xmm2, %xmm1
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pshufd $78, %xmm1, %xmm6
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addsd %xmm6, %xmm1
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movq %xmm1, %xmm6
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addsd %xmm7, %xmm1
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mulsd %xmm0, %xmm1
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addsd %xmm4, %xmm1
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andpd MASK3(%rip), %xmm4
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divsd %xmm1, %xmm5
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subsd %xmm4, %xmm3
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pshufd $238, %xmm0, %xmm1
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addsd %xmm0, %xmm3
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movq %xmm4, %xmm2
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addsd %xmm1, %xmm3
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mulsd %xmm7, %xmm1
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mulsd %xmm0, %xmm7
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addsd %xmm1, %xmm3
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addsd %xmm7, %xmm4
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movsd RMASK(%rip), %xmm1
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mulsd %xmm0, %xmm6
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andpd MASK3(%rip), %xmm4
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addsd %xmm6, %xmm3
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movq %xmm4, %xmm6
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subsd %xmm4, %xmm2
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addsd %xmm7, %xmm2
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movsd ONEMASK(%rip), %xmm7
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andpd %xmm1, %xmm5
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addsd %xmm2, %xmm3
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mulsd %xmm5, %xmm4
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xorpd %xmm2, %xmm2
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mulsd %xmm5, %xmm3
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subsd TWOMASK(%rip), %xmm6
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subsd %xmm7, %xmm4
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xorl $32768, %edx
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pinsrw $3, %edx, %xmm2
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addsd %xmm3, %xmm4
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mulsd %xmm5, %xmm6
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movq %xmm3, %xmm1
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mulsd %xmm4, %xmm3
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movq %xmm6, %xmm0
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mulsd %xmm4, %xmm6
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subsd %xmm3, %xmm1
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subsd %xmm6, %xmm1
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addsd %xmm1, %xmm0
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xorpd %xmm2, %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_0.0.1:
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addl $960, %ecx
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cmpl $1104, %ecx
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jae .L_2TAG_PACKET_1.0.1
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movapd pv(%rip), %xmm2
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pshufd $68, %xmm0, %xmm1
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movapd 16+pv(%rip), %xmm3
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mulpd %xmm1, %xmm1
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movapd 32+pv(%rip), %xmm4
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mulpd %xmm1, %xmm2
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pshufd $68, %xmm1, %xmm5
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addpd %xmm3, %xmm2
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mulsd %xmm5, %xmm5
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mulpd %xmm1, %xmm2
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mulsd %xmm5, %xmm5
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addpd %xmm4, %xmm2
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mulpd %xmm5, %xmm2
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pshufd $238, %xmm2, %xmm5
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addsd %xmm5, %xmm2
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mulsd %xmm0, %xmm2
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addsd %xmm2, %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_1.0.1:
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addl $15344, %ecx
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cmpl $16448, %ecx
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jae .L_2TAG_PACKET_2.0.1
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cmpl $16, %ecx
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jb .L_2TAG_PACKET_3.0.1
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xorpd %xmm2, %xmm2
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movl $17392, %eax
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pinsrw $3, %eax, %xmm2
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mulsd %xmm0, %xmm2
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addsd %xmm0, %xmm2
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jmp ..B1.4
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.L_2TAG_PACKET_3.0.1:
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movq %xmm0, %xmm2
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mulsd %xmm2, %xmm2
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jmp ..B1.4
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.L_2TAG_PACKET_2.0.1:
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cmpl $32752, %ecx
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jae .L_2TAG_PACKET_4.0.1
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xorpd %xmm2, %xmm2
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movl $15344, %ecx
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pinsrw $3, %ecx, %xmm2
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movq %xmm2, %xmm3
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mulsd %xmm2, %xmm2
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addsd %xmm3, %xmm2
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.L_2TAG_PACKET_5.0.1:
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xorpd %xmm0, %xmm0
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orl $16368, %edx
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pinsrw $3, %edx, %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_4.0.1:
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movq %xmm0, %xmm2
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movd %xmm0, %eax
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psrlq $20, %xmm2
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movd %xmm2, %ecx
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orl %eax, %ecx
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cmpl $0, %ecx
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je .L_2TAG_PACKET_5.0.1
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addsd %xmm0, %xmm0
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movq %xmm0, (%rsp)
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.L_2TAG_PACKET_6.0.1:
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..B1.4:
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popq %rcx
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..___tag_value_tanh.4:
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ret
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..___tag_value_tanh.5:
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END(tanh)
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# -- End tanh
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.section .rodata, "a"
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.align 16
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.align 16
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L2E:
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.long 1610612736
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.long 1082594631
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.long 4166901572
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.long 1055174155
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.type L2E,@object
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.size L2E,16
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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 3275227136
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.type Shifter,@object
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.size Shifter,16
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.align 16
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cv:
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.long 3884607281
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.long 3168131199
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.long 3607404735
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.long 3190582024
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.long 1874480759
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.long 1032041131
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.long 4286760334
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.long 1053736893
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.long 4277811695
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.long 3211144770
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.long 0
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.long 0
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.type cv,@object
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.size cv,48
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.align 16
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T2_neg_f:
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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 1797923801
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.long 1072687577
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.long 1950547427
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.long 1013229059
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.long 730821105
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.long 1072681922
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.long 2523232743
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.long 1012067188
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.long 915592468
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.long 1072676282
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.long 352947894
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.long 3161024371
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.long 2174652632
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.long 1072670657
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.long 4087714590
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.long 1014450259
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.long 35929225
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.long 1072665048
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.long 2809788041
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.long 3159436968
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.long 2912730644
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.long 1072659453
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.long 3490067722
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.long 3163405074
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.long 2038973688
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.long 1072653874
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.long 892941374
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.long 1016046459
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.long 1533953344
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.long 1072648310
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.long 769171851
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.long 1015665633
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.long 1222472308
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.long 1072642761
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.long 1054357470
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.long 3161021018
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.long 929806999
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.long 1072637227
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.long 3205336643
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.long 1015259557
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.long 481706282
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.long 1072631708
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.long 1696079173
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.long 3162710528
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.long 3999357479
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.long 1072626203
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.long 2258941616
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.long 1015924724
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.long 2719515920
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.long 1072620714
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.long 2760332941
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.long 1015137933
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.long 764307441
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.long 1072615240
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.long 3021057420
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|
.long 3163329523
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|
.long 2256325230
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|
.long 1072609780
|
|
.long 580117746
|
|
.long 1015317295
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|
.long 2728693978
|
|
.long 1072604335
|
|
.long 396109971
|
|
.long 3163462691
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|
.long 2009970496
|
|
.long 1072598905
|
|
.long 2159039665
|
|
.long 3162572948
|
|
.long 4224142467
|
|
.long 1072593489
|
|
.long 3389820386
|
|
.long 1015207202
|
|
.long 610758006
|
|
.long 1072588089
|
|
.long 1965209397
|
|
.long 3161866232
|
|
.long 3884662774
|
|
.long 1072582702
|
|
.long 2158611599
|
|
.long 1014210185
|
|
.long 991358482
|
|
.long 1072577331
|
|
.long 838715019
|
|
.long 3163157668
|
|
.long 351641897
|
|
.long 1072571974
|
|
.long 2172261526
|
|
.long 3163010599
|
|
.long 1796832535
|
|
.long 1072566631
|
|
.long 3176955716
|
|
.long 3160585513
|
|
.long 863738719
|
|
.long 1072561303
|
|
.long 1326992220
|
|
.long 3162613197
|
|
.long 1679558232
|
|
.long 1072555989
|
|
.long 2390342287
|
|
.long 3163333970
|
|
.long 4076975200
|
|
.long 1072550689
|
|
.long 2029000899
|
|
.long 1015208535
|
|
.long 3594158869
|
|
.long 1072545404
|
|
.long 2456521700
|
|
.long 3163256561
|
|
.long 64696965
|
|
.long 1072540134
|
|
.long 1768797490
|
|
.long 1015816960
|
|
.long 1912561781
|
|
.long 1072534877
|
|
.long 3147495102
|
|
.long 1015678253
|
|
.long 382305176
|
|
.long 1072529635
|
|
.long 2347622376
|
|
.long 3162578625
|
|
.long 3898795731
|
|
.long 1072524406
|
|
.long 1249994144
|
|
.long 1011869818
|
|
.long 3707479175
|
|
.long 1072519192
|
|
.long 3613079303
|
|
.long 1014164738
|
|
.long 3939148246
|
|
.long 1072513992
|
|
.long 3210352148
|
|
.long 1015274323
|
|
.long 135105010
|
|
.long 1072508807
|
|
.long 1906148728
|
|
.long 3163375739
|
|
.long 721996136
|
|
.long 1072503635
|
|
.long 563754734
|
|
.long 1015371318
|
|
.long 1242007932
|
|
.long 1072498477
|
|
.long 1132034716
|
|
.long 3163339831
|
|
.long 1532734324
|
|
.long 1072493333
|
|
.long 3094216535
|
|
.long 3163162857
|
|
.long 1432208378
|
|
.long 1072488203
|
|
.long 1401068914
|
|
.long 3162363963
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|
.long 778901109
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|
.long 1072483087
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|
.long 2248183955
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|
.long 3161268751
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|
.long 3706687593
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|
.long 1072477984
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|
.long 3521726940
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|
.long 1013253067
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|
.long 1464976603
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|
.long 1072472896
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|
.long 3507292405
|
|
.long 3161977534
|
|
.long 2483480501
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|
.long 1072467821
|
|
.long 1216371780
|
|
.long 1013034172
|
|
.long 2307442995
|
|
.long 1072462760
|
|
.long 3190117721
|
|
.long 3162404539
|
|
.long 777507147
|
|
.long 1072457713
|
|
.long 4282924205
|
|
.long 1015187533
|
|
.long 2029714210
|
|
.long 1072452679
|
|
.long 613660079
|
|
.long 1015099143
|
|
.long 1610600570
|
|
.long 1072447659
|
|
.long 3766732298
|
|
.long 1015760183
|
|
.long 3657065772
|
|
.long 1072442652
|
|
.long 399025623
|
|
.long 3162957078
|
|
.long 3716502172
|
|
.long 1072437659
|
|
.long 2303740125
|
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.long 1014042725
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.type T2_neg_f,@object
|
|
.size T2_neg_f,4096
|
|
.space 512, 0x00 # pad
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|
.align 16
|
|
MASK3:
|
|
.long 0
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|
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.long 0
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.type MASK3,@object
|
|
.size MASK3,16
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|
.align 16
|
|
RMASK:
|
|
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.type RMASK,@object
|
|
.size RMASK,16
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|
.align 16
|
|
pv:
|
|
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.type pv,@object
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.size pv,48
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.align 4
|
|
HALFMASK:
|
|
.long 4160749568
|
|
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|
|
.type HALFMASK,@object
|
|
.size HALFMASK,8
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|
.align 4
|
|
ONEMASK:
|
|
.long 0
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|
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|
.type ONEMASK,@object
|
|
.size ONEMASK,8
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|
.align 4
|
|
TWOMASK:
|
|
.long 0
|
|
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.type TWOMASK,@object
|
|
.size TWOMASK,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_tanh.1-.
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|
.4byte ..___tag_value_tanh.5-..___tag_value_tanh.1
|
|
.2byte 0x0400
|
|
.4byte ..___tag_value_tanh.3-..___tag_value_tanh.1
|
|
.2byte 0x100e
|
|
.byte 0x04
|
|
.4byte ..___tag_value_tanh.4-..___tag_value_tanh.3
|
|
.2byte 0x080e
|
|
.byte 0x00
|
|
# End
|