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808 lines
18 KiB
808 lines
18 KiB
/*
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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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// Let x=2^k * mx, mx in [1,2)
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//
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// Get B~1/mx based on the output of rcpss instruction (B0)
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// B = int((B0*LH*2^7+0.5))/2^7
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// LH is a short approximation for log10(e)
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//
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// Reduced argument: r=B*mx-LH (computed accurately in high and low parts)
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//
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// Result: k*log10(2) - log(B) + p(r)
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// p(r) is a degree 7 polynomial
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// -log(B) read from data table (high, low parts)
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// Result is formed from high and low parts
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//
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// Special cases:
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// log10(0) = -INF with divide-by-zero exception raised
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// log10(1) = +0
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// log10(x) = NaN with invalid exception raised if x < -0, including -INF
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// log10(+INF) = +INF
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin log10
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ENTRY(log10)
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# parameter 1: %xmm0
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..B1.1:
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..___tag_value_log10.1:
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subq $24, %rsp
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..___tag_value_log10.3:
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movsd %xmm0, (%rsp)
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..B1.2:
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xorpd %xmm2, %xmm2
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movl $16368, %eax
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pinsrw $3, %eax, %xmm2
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movl $1054736384, %ecx
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movd %ecx, %xmm7
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xorpd %xmm3, %xmm3
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movl $30704, %edx
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pinsrw $3, %edx, %xmm3
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movq %xmm0, %xmm1
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movl $32768, %edx
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movd %edx, %xmm4
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movapd HIGHSIGMASK(%rip), %xmm5
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pextrw $3, %xmm0, %eax
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orpd %xmm2, %xmm0
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movl $16352, %ecx
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psrlq $27, %xmm0
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movq LOG10_E(%rip), %xmm2
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psrld $2, %xmm0
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rcpps %xmm0, %xmm0
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psllq $12, %xmm1
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pshufd $78, %xmm5, %xmm6
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psrlq $12, %xmm1
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subl $16, %eax
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cmpl $32736, %eax
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jae .L_2TAG_PACKET_0.0.2
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.L_2TAG_PACKET_1.0.2:
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mulss %xmm7, %xmm0
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orpd %xmm3, %xmm1
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lea L_tbl(%rip), %r11
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andpd %xmm1, %xmm5
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paddd %xmm4, %xmm0
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subsd %xmm5, %xmm1
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movd %xmm0, %edx
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psllq $29, %xmm0
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andpd %xmm6, %xmm0
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andl $32752, %eax
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subl %ecx, %eax
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cvtsi2sd %eax, %xmm7
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mulpd %xmm0, %xmm5
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mulsd %xmm0, %xmm1
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movq log2(%rip), %xmm6
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movapd coeff(%rip), %xmm3
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subsd %xmm2, %xmm5
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andl $16711680, %edx
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shrl $12, %edx
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movapd -1504(%r11,%rdx), %xmm0
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movapd 16+coeff(%rip), %xmm4
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addsd %xmm5, %xmm1
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movapd 32+coeff(%rip), %xmm2
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mulsd %xmm7, %xmm6
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pshufd $68, %xmm1, %xmm5
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mulsd 8+log2(%rip), %xmm7
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mulsd %xmm1, %xmm3
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addsd %xmm6, %xmm0
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mulpd %xmm5, %xmm4
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movq 8+LOG10_E(%rip), %xmm6
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mulpd %xmm5, %xmm5
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addpd %xmm2, %xmm4
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mulpd %xmm5, %xmm3
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pshufd $228, %xmm0, %xmm2
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addsd %xmm1, %xmm0
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mulsd %xmm1, %xmm4
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subsd %xmm0, %xmm2
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mulsd %xmm1, %xmm6
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addsd %xmm2, %xmm1
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pshufd $238, %xmm0, %xmm2
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mulsd %xmm5, %xmm5
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addsd %xmm2, %xmm7
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addsd %xmm6, %xmm1
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addpd %xmm3, %xmm4
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addsd %xmm7, %xmm1
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mulpd %xmm5, %xmm4
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addsd %xmm4, %xmm1
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pshufd $238, %xmm4, %xmm5
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addsd %xmm5, %xmm1
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addsd %xmm1, %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_0.0.2:
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movq (%rsp), %xmm0
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movq (%rsp), %xmm1
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addl $16, %eax
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cmpl $32768, %eax
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jae .L_2TAG_PACKET_2.0.2
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cmpl $16, %eax
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jb .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_4.0.2:
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addsd %xmm0, %xmm0
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jmp ..B1.5
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.L_2TAG_PACKET_5.0.2:
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ja .L_2TAG_PACKET_4.0.2
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cmpl $0, %edx
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ja .L_2TAG_PACKET_4.0.2
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jmp .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_3.0.2:
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xorpd %xmm1, %xmm1
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addsd %xmm0, %xmm1
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movd %xmm1, %edx
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psrlq $32, %xmm1
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movd %xmm1, %ecx
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orl %ecx, %edx
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cmpl $0, %edx
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je .L_2TAG_PACKET_7.0.2
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xorpd %xmm1, %xmm1
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movl $18416, %eax
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pinsrw $3, %eax, %xmm1
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mulsd %xmm1, %xmm0
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xorpd %xmm2, %xmm2
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movl $16368, %eax
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pinsrw $3, %eax, %xmm2
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movq %xmm0, %xmm1
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pextrw $3, %xmm0, %eax
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orpd %xmm2, %xmm0
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movl $18416, %ecx
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psrlq $27, %xmm0
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movq LOG10_E(%rip), %xmm2
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psrld $2, %xmm0
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rcpps %xmm0, %xmm0
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psllq $12, %xmm1
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pshufd $78, %xmm5, %xmm6
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psrlq $12, %xmm1
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_2.0.2:
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movd %xmm1, %edx
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psrlq $32, %xmm1
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movd %xmm1, %ecx
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addl %ecx, %ecx
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cmpl $-2097152, %ecx
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jae .L_2TAG_PACKET_5.0.2
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orl %ecx, %edx
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cmpl $0, %edx
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je .L_2TAG_PACKET_7.0.2
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.L_2TAG_PACKET_6.0.2:
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xorpd %xmm1, %xmm1
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xorpd %xmm0, %xmm0
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movl $32752, %eax
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pinsrw $3, %eax, %xmm1
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mulsd %xmm1, %xmm0
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movl $9, 16(%rsp)
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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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xorpd %xmm0, %xmm0
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movl $49136, %eax
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pinsrw $3, %eax, %xmm0
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divsd %xmm1, %xmm0
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movl $8, 16(%rsp)
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.L_2TAG_PACKET_8.0.2:
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movq %xmm0, 8(%rsp)
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..B1.3:
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movq 8(%rsp), %xmm0
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.L_2TAG_PACKET_9.0.2:
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..B1.5:
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addq $24, %rsp
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..___tag_value_log10.4:
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ret
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..___tag_value_log10.5:
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END(log10)
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# -- End log10
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.section .rodata, "a"
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.align 16
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.align 16
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HIGHSIGMASK:
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.long 4160749568
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.long 4294967295
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.long 0
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.long 4294959104
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.type HIGHSIGMASK,@object
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.size HIGHSIGMASK,16
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.align 16
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LOG10_E:
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.long 0
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.long 1071366144
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.long 3207479560
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.long 1062894188
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.type LOG10_E,@object
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.size LOG10_E,16
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.align 16
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L_tbl:
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.long 1352628224
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.long 1070810131
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.long 521319256
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.long 1025503025
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.long 2150839296
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.long 1070801944
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.long 3329350096
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.long 3170190015
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.long 1360613376
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.long 1070793794
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.long 2024059075
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.long 1024991594
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.long 1875350528
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.long 1070785680
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.long 2163882141
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.long 3163564137
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.long 2312126464
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.long 1070777602
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.long 1975711076
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.long 1023674196
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.long 1306336256
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.long 1070769560
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.long 3524899523
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.long 3170508164
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.long 1806334976
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.long 1070761553
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.long 4254777025
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.long 1025238739
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.long 2483193856
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.long 1070753581
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.long 3800671317
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.long 3172916830
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.long 2025350144
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.long 1070745644
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.long 1731514745
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.long 1025501083
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.long 3433285632
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.long 1070737741
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.long 2551857336
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.long 3169662186
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.long 1134317568
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.long 1070729873
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.long 3426297655
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.long 3172637891
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.long 2457152512
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.long 1070722038
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.long 63549415
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.long 1025415416
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.long 1861803008
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.long 1070714237
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.long 1910171636
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.long 1023977580
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.long 2414140416
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.long 1070706469
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.long 4002514337
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.long 3170841618
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.long 2900726784
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.long 1070698734
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.long 3268064083
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.long 1022459609
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.long 2123517952
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.long 1070691032
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.long 1767031218
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.long 1022448156
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.long 3194569728
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.long 1070683362
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.long 3402332618
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.long 3171671160
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.long 650882048
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.long 1070675725
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.long 4146023905
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.long 3171023038
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.long 1928988672
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.long 1070668119
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.long 1438617867
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.long 1016360491
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.long 1594908672
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.long 1070660545
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.long 971389377
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.long 1024763979
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.long 2818746368
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.long 1070653002
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.long 3555925341
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.long 3172434821
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.long 194584576
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.long 1070645491
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.long 943919215
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.long 3172950063
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.long 1215096832
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.long 1070638010
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.long 2283358588
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.long 1022335098
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.long 501519360
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.long 1070630560
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.long 480904295
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.long 1024437959
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.long 1278266368
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.long 1070623140
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.long 2755806066
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.long 3172342012
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.long 2487812096
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.long 1070615750
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.long 2489653202
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.long 3172481099
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.long 3085451264
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.long 1070608390
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.long 3759184951
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.long 3172574892
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.long 2039090176
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.long 1070601060
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.long 1361176676
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.long 3172355319
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.long 953057280
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.long 1070591423
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.long 1176587546
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.long 3166422018
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.long 3370524672
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.long 1070576879
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.long 3669570051
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.long 1025376630
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.long 749742080
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.long 1070562394
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.long 707700964
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.long 3170814058
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.long 4008353792
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.long 1070547965
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.long 3247327652
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.long 1022431400
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.long 2612455424
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.long 1070533594
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.long 2453457344
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.long 3172322969
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.long 3230920704
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.long 1070519279
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.long 1296781801
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.long 1025115335
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.long 3965253632
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.long 1070505020
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.long 373075289
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.long 1017938528
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.long 2593157120
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.long 1070476669
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.long 1068054086
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.long 1021616576
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.long 925962240
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.long 1070448537
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.long 850121213
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.long 1023928989
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.long 1732556800
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.long 1070420620
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.long 1305206740
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.long 3172665570
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.long 3815630848
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.long 1070392915
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.long 192642943
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.long 3172699907
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.long 2001758208
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.long 1070365420
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.long 2820786683
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.long 1024704867
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.long 16746496
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.long 1070338131
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.long 1399573110
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.long 3171372773
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.long 1886492672
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.long 1070311044
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.long 3621428075
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.long 3172974358
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.long 3338196992
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.long 1070284157
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.long 3793882035
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.long 1025124701
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.long 381769728
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.long 1070257468
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.long 3877933342
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.long 3170195490
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.long 2186491904
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.long 1070230972
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.long 1838687089
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.long 1017927292
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.long 1008330752
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.long 1070204668
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.long 2228321664
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.long 1025352196
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.long 2247065600
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.long 1070178552
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.long 1413900906
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.long 3170902532
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.long 2964070400
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.long 1070152622
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.long 3590454629
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.long 1025016844
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.long 465154048
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.long 1070126876
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.long 2079688550
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.long 3172268183
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.long 883615744
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.long 1070101310
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.long 989244452
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.long 3171900485
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.long 1993768960
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.long 1070075922
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.long 1124327841
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.long 3172964992
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.long 1794471936
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.long 1070050710
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.long 1140575046
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.long 1022673726
|
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.long 2797932544
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.long 1070025671
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.long 1894836933
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.long 3172544059
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.long 3433797632
|
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.long 1070000803
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.long 3221831166
|
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.long 3171921685
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.long 2338371584
|
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.long 1069976104
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.long 3732461053
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.long 3164513518
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.long 2644013056
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.long 1069951571
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.long 2519460462
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.long 3172548740
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.long 3383814144
|
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.long 1069927202
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.long 2290997657
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.long 1025499649
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.long 3781380096
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.long 1069902995
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.long 380479405
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.long 1025184136
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.long 3245785088
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.long 1069878948
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.long 1096398261
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.long 3169885192
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.long 1366712320
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.long 1069855059
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.long 2218343715
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.long 3170281628
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.long 2204717056
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.long 1069831325
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.long 2668334011
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.long 1025264524
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.long 1401772032
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.long 1069807745
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.long 4103993159
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.long 1022925721
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.long 3356721152
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.long 1069784316
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.long 3573790772
|
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.long 3172186527
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.long 4041148416
|
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.long 1069761037
|
|
.long 4027691910
|
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.long 3171276990
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.long 3880151040
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.long 1069737906
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.long 4087118786
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.long 3172710734
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.long 3453364224
|
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.long 1069714921
|
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.long 99014299
|
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.long 3172003077
|
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.long 3491092480
|
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.long 1069692080
|
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.long 3801836701
|
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.long 3172989287
|
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.long 575580160
|
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.long 1069669382
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.long 1920406012
|
|
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|
.type L_tbl,@object
|
|
.size L_tbl,2064
|
|
.align 16
|
|
log2:
|
|
.long 1352628224
|
|
.long 1066615827
|
|
.long 521319256
|
|
.long 1021308721
|
|
.type log2,@object
|
|
.size log2,16
|
|
.align 16
|
|
coeff:
|
|
.long 3248877870
|
|
.long 1077250164
|
|
.long 1691676429
|
|
.long 3221787401
|
|
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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 3220339442
|
|
.type coeff,@object
|
|
.size coeff,48
|
|
.data
|
|
.section .note.GNU-stack, "",@progbits
|
|
// -- 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_log10.1-.
|
|
.4byte ..___tag_value_log10.5-..___tag_value_log10.1
|
|
.2byte 0x0400
|
|
.4byte ..___tag_value_log10.3-..___tag_value_log10.1
|
|
.2byte 0x200e
|
|
.byte 0x04
|
|
.4byte ..___tag_value_log10.4-..___tag_value_log10.3
|
|
.2byte 0x080e
|
|
.byte 0x00
|
|
# End
|