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828 lines
18 KiB
828 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 rcpps instruction (B0)
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// B = int((B0*2^7+0.5))/2^7
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//
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// Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
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//
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// Result: k*log(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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// log1p(NaN) = quiet NaN, and raise invalid exception
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// log1p(+INF) = that INF
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// log1p(x) = NaN if x < -1 or x = -INF, and raises invalid exception
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// log1p(-1) = -INF, and raises divide-by-zero exception
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// log1p(+/-0) = +/-0
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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 log1p
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ENTRY(log1p)
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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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xorpd %xmm2, %xmm2
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movl $16368, %eax
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pinsrw $3, %eax, %xmm2
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xorpd %xmm3, %xmm3
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movl $32768, %ecx
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movd %ecx, %xmm4
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movsd 2128(%ebx), %xmm5
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pshufd $68, %xmm0, %xmm7
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movapd %xmm2, %xmm6
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pextrw $3, %xmm0, %ecx
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addsd %xmm2, %xmm0
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movapd %xmm0, %xmm1
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pextrw $3, %xmm0, %eax
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subsd %xmm0, %xmm6
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orpd %xmm2, %xmm0
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psllq $5, %xmm0
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psrlq $34, %xmm0
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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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addsd %xmm6, %xmm7
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rcpss %xmm0, %xmm0
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psllq $12, %xmm1
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pshufd $228, %xmm5, %xmm6
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psrlq $12, %xmm1
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andl $32752, %ecx
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cmpl $16256, %ecx
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jb .L_2TAG_PACKET_1.0.2
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andl $32752, %eax
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movl $32720, %ecx
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subl %eax, %ecx
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pinsrw $3, %ecx, %xmm3
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.L_2TAG_PACKET_2.0.2:
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mulsd %xmm3, %xmm7
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paddd %xmm4, %xmm0
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xorpd %xmm4, %xmm4
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movl $14336, %ecx
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pinsrw $3, %ecx, %xmm4
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orpd %xmm2, %xmm1
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movd %xmm0, %edx
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psllq $29, %xmm0
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andpd %xmm1, %xmm5
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andpd %xmm6, %xmm0
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subsd %xmm5, %xmm1
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paddd %xmm4, %xmm0
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mulsd %xmm0, %xmm5
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movl $16352, %ecx
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subl %ecx, %eax
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cvtsi2sdl %eax, %xmm4
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mulsd %xmm0, %xmm7
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mulsd %xmm0, %xmm1
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movsd 2064(%ebx), %xmm6
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movapd 2080(%ebx), %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 (%ebx,%edx), %xmm0
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movapd 2096(%ebx), %xmm2
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addsd %xmm5, %xmm1
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movapd %xmm1, %xmm5
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addsd %xmm7, %xmm1
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subsd %xmm1, %xmm5
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addsd %xmm5, %xmm7
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mulsd %xmm4, %xmm6
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mulsd 2072(%ebx), %xmm4
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mulsd %xmm1, %xmm3
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pshufd $68, %xmm1, %xmm5
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addsd %xmm6, %xmm0
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mulpd %xmm5, %xmm2
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mulpd %xmm5, %xmm5
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pshufd $228, %xmm0, %xmm6
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addsd %xmm1, %xmm0
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addpd 2112(%ebx), %xmm2
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mulpd %xmm5, %xmm3
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subsd %xmm0, %xmm6
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mulsd %xmm1, %xmm2
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addsd %xmm7, %xmm4
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mulsd %xmm1, %xmm7
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addsd %xmm6, %xmm1
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pshufd $238, %xmm0, %xmm6
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mulsd %xmm5, %xmm5
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addsd %xmm6, %xmm4
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subsd %xmm7, %xmm1
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addpd %xmm3, %xmm2
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addsd %xmm4, %xmm1
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mulpd %xmm5, %xmm2
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addsd %xmm2, %xmm1
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pshufd $238, %xmm2, %xmm5
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addsd %xmm5, %xmm1
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addsd %xmm1, %xmm0
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_0.0.2:
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movsd 112(%esp), %xmm0
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movapd %xmm0, %xmm1
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addl $16, %eax
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cmpl $32768, %eax
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jae .L_2TAG_PACKET_4.0.2
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cmpl $0, %eax
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je .L_2TAG_PACKET_5.0.2
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.L_2TAG_PACKET_6.0.2:
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addsd %xmm0, %xmm0
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_7.0.2:
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ja .L_2TAG_PACKET_6.0.2
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cmpl $0, %edx
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ja .L_2TAG_PACKET_6.0.2
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jmp .L_2TAG_PACKET_8.0.2
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.L_2TAG_PACKET_4.0.2:
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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_7.0.2
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orl %ecx, %edx
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cmpl $0, %edx
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je .L_2TAG_PACKET_5.0.2
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.L_2TAG_PACKET_8.0.2:
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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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movl $141, %edx
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mulsd %xmm1, %xmm0
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.L_2TAG_PACKET_9.0.2:
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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_10.0.2
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.L_2TAG_PACKET_5.0.2:
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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 $140, %edx
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jmp .L_2TAG_PACKET_9.0.2
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.L_2TAG_PACKET_1.0.2:
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movsd 112(%esp), %xmm0
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cmpl $15504, %ecx
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jb .L_2TAG_PACKET_11.0.2
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movapd 2144(%ebx), %xmm1
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pshufd $68, %xmm0, %xmm0
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movapd 2160(%ebx), %xmm2
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pshufd $68, %xmm0, %xmm4
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movapd 2176(%ebx), %xmm3
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mulpd %xmm0, %xmm1
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xorpd %xmm6, %xmm6
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mulpd %xmm4, %xmm4
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addpd %xmm2, %xmm1
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pshufd $68, %xmm4, %xmm5
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mulpd %xmm0, %xmm4
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movl $49120, %eax
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pinsrw $3, %eax, %xmm6
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mulpd %xmm0, %xmm1
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mulsd %xmm4, %xmm4
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addpd %xmm3, %xmm1
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mulsd %xmm6, %xmm5
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mulpd %xmm4, %xmm1
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pshufd $238, %xmm1, %xmm7
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addsd %xmm7, %xmm1
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addsd %xmm5, %xmm1
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addsd %xmm1, %xmm0
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_11.0.2:
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cmpl $16, %ecx
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jb .L_2TAG_PACKET_12.0.2
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_12.0.2:
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movapd %xmm0, %xmm1
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mulsd %xmm1, %xmm1
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jmp .L_2TAG_PACKET_3.0.2
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.L_2TAG_PACKET_3.0.2:
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movsd %xmm0, 24(%esp)
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fldl 24(%esp)
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.L_2TAG_PACKET_10.0.2:
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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(log1p)
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# -- End log1p
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# Start file scope ASM
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ALIAS_SYMBOL(log1pl, log1p);
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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 4277811200
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.long 1072049730
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.long 2479318832
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.long 1026487127
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.long 2854492160
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.long 1072033410
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.long 215631550
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.long 1025638968
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.long 1547061248
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.long 1072017216
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.long 2886781435
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.long 1026423395
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.long 649825280
|
|
.long 1072001146
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.long 4281533405
|
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.long 1024038923
|
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.long 646346752
|
|
.long 1071985198
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.long 1562735921
|
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.long 1023790276
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.long 2203734016
|
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.long 1071969370
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.long 1838397691
|
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.long 3173936209
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.long 1872169984
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.long 1071953661
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.long 3981202460
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.long 1022325013
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.long 669557760
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.long 1071938069
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.long 4182597802
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.long 3173174122
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.long 4076413952
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.long 1071922591
|
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.long 1209029111
|
|
.long 3170736207
|
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.long 556125184
|
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.long 1071907228
|
|
.long 821086028
|
|
.long 3173437049
|
|
.long 204914688
|
|
.long 1071891976
|
|
.long 2097025986
|
|
.long 3171071798
|
|
.long 387545088
|
|
.long 1071876834
|
|
.long 3142936996
|
|
.long 3173092218
|
|
.long 2912783360
|
|
.long 1071861800
|
|
.long 2502420140
|
|
.long 1024505919
|
|
.long 1144260608
|
|
.long 1071846874
|
|
.long 3315658140
|
|
.long 3173469843
|
|
.long 1471209472
|
|
.long 1071832053
|
|
.long 129621009
|
|
.long 3172443877
|
|
.long 1829683200
|
|
.long 1071817336
|
|
.long 3885467693
|
|
.long 1025535275
|
|
.long 288676864
|
|
.long 1071802722
|
|
.long 86139472
|
|
.long 3171639793
|
|
.long 3636378624
|
|
.long 1071788208
|
|
.long 1850238587
|
|
.long 1024654342
|
|
.long 1606817792
|
|
.long 1071773795
|
|
.long 3388899795
|
|
.long 3173675586
|
|
.long 1236164608
|
|
.long 1071759480
|
|
.long 3983599207
|
|
.long 1020046558
|
|
.long 1089616896
|
|
.long 1071745262
|
|
.long 4171974224
|
|
.long 1024773198
|
|
.long 4143093760
|
|
.long 1071731139
|
|
.long 2727587401
|
|
.long 3173965207
|
|
.long 600267776
|
|
.long 1071717112
|
|
.long 3147685042
|
|
.long 3173353031
|
|
.long 2249313280
|
|
.long 1071703177
|
|
.long 125835074
|
|
.long 1025255832
|
|
.long 3805303808
|
|
.long 1071689334
|
|
.long 2289991207
|
|
.long 1025460331
|
|
.long 87278592
|
|
.long 1071675583
|
|
.long 1106114045
|
|
.long 1025933602
|
|
.long 3195405312
|
|
.long 1071661920
|
|
.long 3885316576
|
|
.long 3171206239
|
|
.long 3853649920
|
|
.long 1071648346
|
|
.long 2977069852
|
|
.long 3171236771
|
|
.long 2944026624
|
|
.long 1071625048
|
|
.long 1008093493
|
|
.long 1023444474
|
|
.long 3993180160
|
|
.long 1071598247
|
|
.long 1862355595
|
|
.long 1024642533
|
|
.long 1454641152
|
|
.long 1071571617
|
|
.long 1514603089
|
|
.long 1026500596
|
|
.long 3286085632
|
|
.long 1071545154
|
|
.long 1400028424
|
|
.long 3173279056
|
|
.long 438773760
|
|
.long 1071518858
|
|
.long 120727864
|
|
.long 3172148914
|
|
.long 1212979200
|
|
.long 1071492725
|
|
.long 1625055594
|
|
.long 3172901933
|
|
.long 1189017600
|
|
.long 1071466754
|
|
.long 3920062376
|
|
.long 1025727407
|
|
.long 403064832
|
|
.long 1071440943
|
|
.long 1053271728
|
|
.long 3171391427
|
|
.long 3343210496
|
|
.long 1071415289
|
|
.long 3243395502
|
|
.long 3173627613
|
|
.long 1765777408
|
|
.long 1071389792
|
|
.long 2145968512
|
|
.long 1026354304
|
|
.long 461430784
|
|
.long 1071364449
|
|
.long 4094322285
|
|
.long 1026021467
|
|
.long 71706624
|
|
.long 1071339258
|
|
.long 763632021
|
|
.long 1024496933
|
|
.long 1380503552
|
|
.long 1071314217
|
|
.long 1383547992
|
|
.long 3173088453
|
|
.long 1015732224
|
|
.long 1071289325
|
|
.long 3198646877
|
|
.long 1025390322
|
|
.long 35977216
|
|
.long 1071264580
|
|
.long 2141026805
|
|
.long 1025754693
|
|
.long 3927306240
|
|
.long 1071239979
|
|
.long 282116272
|
|
.long 3173394334
|
|
.long 1125341184
|
|
.long 1071215523
|
|
.long 2768427504
|
|
.long 3172279059
|
|
.long 1666971648
|
|
.long 1071191208
|
|
.long 786837629
|
|
.long 3172427445
|
|
.long 2827694080
|
|
.long 1071167033
|
|
.long 3857122416
|
|
.long 3173014241
|
|
.long 2003683328
|
|
.long 1071142997
|
|
.long 859010954
|
|
.long 1026545007
|
|
.long 1004017664
|
|
.long 1071119098
|
|
.long 3356644970
|
|
.long 3173458064
|
|
.long 1753020416
|
|
.long 1071095334
|
|
.long 788338552
|
|
.long 1026157693
|
|
.long 1992718336
|
|
.long 1071071704
|
|
.long 1239179443
|
|
.long 1026394889
|
|
.long 3870234624
|
|
.long 1071048206
|
|
.long 2082614663
|
|
.long 1024926053
|
|
.long 1050437632
|
|
.long 1071024840
|
|
.long 660007840
|
|
.long 1025548499
|
|
.long 188395520
|
|
.long 1071001603
|
|
.long 3878792704
|
|
.long 3173889571
|
|
.long 3747176448
|
|
.long 1070978493
|
|
.long 144991708
|
|
.long 3171552042
|
|
.long 1405669376
|
|
.long 1070955511
|
|
.long 3999088879
|
|
.long 1025486317
|
|
.long 121151488
|
|
.long 1070932654
|
|
.long 2170865497
|
|
.long 1026473584
|
|
.long 2652319744
|
|
.long 1070909920
|
|
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.type static_const_table,@object
|
|
.size static_const_table,2192
|
|
.data
|
|
.section .note.GNU-stack, "",@progbits
|
|
# End
|