934 lines
20 KiB
ArmAsm
934 lines
20 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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// This implementation uses the main path for |x| in [2^{-5},2^65).
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// For |x| in [2^{-64},2^{-5}), a secondary path is used.
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// For the biased exponent of X within 3FFH-64 and 3FF+64, we use one branch.
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// We use the following definition of B and X` so that the formula
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// atan(X) = Tau + atan( (X`-B) / (One + BX) ) is correct
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//
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// X = (-1)^s * 2^k * 1. x1 x2 ... x52
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//
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// Define X` = 0 if k >= 5; and X` = |X| otherwise
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// Define One = 0 if k >= 5; and One = 1 otherwise
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// Define B = 0 if k <= -6; B = 2^k * 1.x1 x2 x3 x4 1 if -5 <= k <= 4
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// Define B = 2^5 * 1.0 0 ... 0 if k >= 5
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//
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// Tau is 0 if k <= -6;
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// Tau is atan( B ) if -5 <= k <= 4
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// Tau is pi/2 if k >= 5
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//
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// Special cases:
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// atan(NaN) = quiet NaN
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// atan(+/-INF) = +/-Pi/2
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// atan(+/-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 atan
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ENTRY(atan)
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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, 48(%esp)
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call static_func
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movl %eax, %ebx
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movsd 112(%esp), %xmm0
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movsd 2640(%ebx), %xmm3
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movsd 2624(%ebx), %xmm5
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movsd 2656(%ebx), %xmm4
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movsd %xmm0, 8(%esp)
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pextrw $3, %xmm0, %edx
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andpd %xmm0, %xmm3
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pshufd $68, %xmm0, %xmm1
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orpd %xmm4, %xmm3
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movl %edx, %eax
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andl $32767, %edx
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subl $16288, %edx
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cmpl $159, %edx
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ja .L_2TAG_PACKET_0.0.2
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mulsd %xmm3, %xmm1
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subsd %xmm3, %xmm0
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addsd %xmm5, %xmm1
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divsd %xmm1, %xmm0
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addl $1, %edx
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movsd 2672(%ebx), %xmm2
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movsd 2688(%ebx), %xmm4
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andl $32768, %eax
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xorpd %xmm7, %xmm7
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pinsrw $3, %eax, %xmm7
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addl %edx, %edx
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movsd (%ebx,%edx,8), %xmm6
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movsd 8(%ebx,%edx,8), %xmm5
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xorpd %xmm7, %xmm5
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xorpd %xmm7, %xmm6
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movsd 2680(%ebx), %xmm7
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pshufd $68, %xmm0, %xmm1
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mulsd %xmm0, %xmm0
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pshufd $68, %xmm1, %xmm3
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addsd %xmm6, %xmm1
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mulsd %xmm0, %xmm2
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addsd %xmm0, %xmm4
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subsd %xmm1, %xmm6
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mulsd %xmm0, %xmm4
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addsd %xmm7, %xmm2
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mulsd %xmm3, %xmm0
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addsd %xmm3, %xmm6
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mulsd %xmm2, %xmm0
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addsd 2696(%ebx), %xmm4
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addsd %xmm5, %xmm6
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mulsd %xmm4, %xmm0
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addsd %xmm6, %xmm0
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addsd %xmm1, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_0.0.2:
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addl $944, %edx
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cmpl $1103, %edx
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ja .L_2TAG_PACKET_2.0.2
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movsd 2672(%ebx), %xmm4
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movsd 2688(%ebx), %xmm7
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movsd 8(%esp), %xmm0
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mulsd %xmm1, %xmm1
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movsd 2680(%ebx), %xmm2
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movsd 2696(%ebx), %xmm5
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mulsd %xmm1, %xmm4
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addsd %xmm1, %xmm7
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movapd %xmm1, %xmm6
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mulsd %xmm0, %xmm1
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addsd %xmm4, %xmm2
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mulsd %xmm6, %xmm7
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mulsd %xmm1, %xmm2
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addsd %xmm5, %xmm7
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mulsd %xmm7, %xmm2
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addsd %xmm2, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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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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addl $15344, %edx
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cmpl $16368, %edx
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ja .L_2TAG_PACKET_3.0.2
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movsd 8(%esp), %xmm0
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movsd 8(%esp), %xmm1
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cmpl $16, %edx
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jae .L_2TAG_PACKET_4.0.2
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mulsd %xmm0, %xmm1
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.L_2TAG_PACKET_4.0.2:
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movsd %xmm0, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_3.0.2:
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cmpl $17392, %edx
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jae .L_2TAG_PACKET_5.0.2
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xorpd %xmm1, %xmm1
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movl $49136, %ecx
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pinsrw $3, %ecx, %xmm1
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divsd %xmm0, %xmm1
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movsd 2672(%ebx), %xmm2
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movsd 2688(%ebx), %xmm4
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andl $32768, %eax
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xorpd %xmm7, %xmm7
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pinsrw $3, %eax, %xmm7
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addl %edx, %edx
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movsd 2592(%ebx), %xmm6
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movsd 2600(%ebx), %xmm5
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xorpd %xmm7, %xmm5
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xorpd %xmm7, %xmm6
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movsd 2680(%ebx), %xmm7
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pshufd $68, %xmm1, %xmm0
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mulsd %xmm1, %xmm1
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pshufd $68, %xmm0, %xmm3
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addsd %xmm6, %xmm0
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mulsd %xmm1, %xmm2
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addsd %xmm1, %xmm4
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subsd %xmm0, %xmm6
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mulsd %xmm1, %xmm4
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addsd %xmm7, %xmm2
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mulsd %xmm3, %xmm1
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addsd %xmm3, %xmm6
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mulsd %xmm2, %xmm1
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addsd 2696(%ebx), %xmm4
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addsd %xmm5, %xmm6
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mulsd %xmm4, %xmm1
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addsd %xmm6, %xmm1
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addsd %xmm1, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_5.0.2:
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movsd 8(%esp), %xmm4
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movsd 2608(%ebx), %xmm0
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movsd 2592(%ebx), %xmm2
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movsd 2600(%ebx), %xmm3
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movd %xmm1, %eax
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psrlq $32, %xmm1
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movd %xmm1, %edx
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andl $2147483647, %edx
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cmpl $2146435072, %edx
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jae .L_2TAG_PACKET_6.0.2
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.L_2TAG_PACKET_7.0.2:
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andnpd %xmm4, %xmm0
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orpd %xmm0, %xmm2
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orpd %xmm3, %xmm0
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addsd %xmm2, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_6.0.2:
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subl $2146435072, %edx
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orl %edx, %eax
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cmpl $0, %eax
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je .L_2TAG_PACKET_7.0.2
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movapd %xmm4, %xmm0
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addsd %xmm0, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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.L_2TAG_PACKET_1.0.2:
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movl 48(%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(atan)
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# -- End atan
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# Start file scope ASM
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ALIAS_SYMBOL(atanl, atan);
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# End file scope ASM
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.section .rodata, "a"
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.align 16
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.align 16
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static_const_table:
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.long 0
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.long 0
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.long 0
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.long 0
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.long 3819695742
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.long 1067482761
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.long 2398680355
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.long 3155462074
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.long 2998791009
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.long 1067548225
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.long 3868465248
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.long 3157182472
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.long 3339424991
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.long 1067613680
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.long 3296670360
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.long 1010752543
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.long 2710002256
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.long 1067679126
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.long 3403896007
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.long 1010910768
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.long 3275701428
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.long 1067744562
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.long 119959933
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.long 1011482843
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.long 2908636881
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.long 1067809988
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.long 2464489612
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.long 1011545526
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.long 3777889398
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.long 1067875403
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.long 3262682165
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.long 1009703919
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.long 3759667419
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.long 1067940807
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.long 1838130851
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.long 3157373556
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.long 732369940
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.long 1068006200
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.long 1203428313
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.long 1010055371
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.long 1166616461
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.long 1068071580
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.long 2901274051
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.long 3158549977
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.long 2945472892
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.long 1068136947
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.long 3726120658
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.long 1009762715
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.long 3954480976
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.long 1068202301
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.long 1289173457
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.long 1009429861
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.long 2081752829
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.long 1068267642
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.long 1836909874
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.long 1006212095
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.long 3807999788
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.long 1068332968
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.long 2172459940
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.long 3156162078
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.long 2731789884
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.long 1068398280
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.long 3450718392
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.long 3159216547
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.long 1044477961
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.long 1068463577
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.long 2230553229
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.long 1011424339
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.long 1486930287
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.long 1068530218
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.long 2861547474
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.long 1012041376
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.long 2293016881
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.long 1068595466
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.long 136843272
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.long 1012684797
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.long 201518157
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.long 1068660680
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.long 63231984
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.long 1012427198
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.long 4054234584
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.long 1068725856
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.long 3927006960
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.long 1011878955
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.long 1246477213
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.long 1068790995
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.long 1494265652
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.long 3155219350
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.long 678186699
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.long 1068856093
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.long 1264361424
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.long 3159256693
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.long 2690594995
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.long 1068921148
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.long 3906996379
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.long 1009288267
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.long 3362611517
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.long 1068986159
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.long 1650970041
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.long 3158331771
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.long 3102162111
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.long 1069051124
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.long 365917035
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.long 3160264153
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.long 2352611067
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.long 1069116041
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.long 4008970190
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.long 3159478182
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.long 1594134794
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.long 1069180908
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.long 466690178
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.long 1012526501
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.long 1345079306
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.long 1069245723
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.long 2268273568
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.long 3160164092
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.long 2163300970
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.long 1069310484
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.long 2750834800
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.long 3158113482
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.long 352522716
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.long 1069375190
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.long 1750411372
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.long 1011790845
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.long 848541647
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.long 1069439838
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.long 2164207573
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.long 1011698350
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.long 40647312
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.long 1069504427
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.long 2949165434
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.long 3159107267
|
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.long 2216766270
|
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.long 1069574357
|
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.long 2197920765
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.long 3161055954
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|
.long 1090914384
|
|
.long 1069638757
|
|
.long 2330454674
|
|
.long 1013365998
|
|
.long 387601244
|
|
.long 1069703022
|
|
.long 3185681168
|
|
.long 1013434071
|
|
.long 3991640484
|
|
.long 1069767144
|
|
.long 1313211590
|
|
.long 3161087959
|
|
.long 3322489502
|
|
.long 1069831118
|
|
.long 3013977995
|
|
.long 1013053011
|
|
.long 3121698570
|
|
.long 1069894936
|
|
.long 4069015667
|
|
.long 1013023362
|
|
.long 4289964660
|
|
.long 1069958591
|
|
.long 1736191156
|
|
.long 3158266731
|
|
.long 3903312386
|
|
.long 1070022077
|
|
.long 1833592413
|
|
.long 3159731471
|
|
.long 3818449864
|
|
.long 1070085387
|
|
.long 851036429
|
|
.long 3159730451
|
|
.long 2097480306
|
|
.long 1070148515
|
|
.long 3506390884
|
|
.long 3160462302
|
|
.long 1611694502
|
|
.long 1070211454
|
|
.long 2785735540
|
|
.long 3160465144
|
|
.long 1464694796
|
|
.long 1070274198
|
|
.long 4229277299
|
|
.long 3159907000
|
|
.long 1299612775
|
|
.long 1070336741
|
|
.long 4116653788
|
|
.long 3160427739
|
|
.long 1310544789
|
|
.long 1070399077
|
|
.long 1064430331
|
|
.long 1013218202
|
|
.long 2253168030
|
|
.long 1070461200
|
|
.long 1405044609
|
|
.long 3157623179
|
|
.long 1159567373
|
|
.long 1070523105
|
|
.long 2353445521
|
|
.long 3159992176
|
|
.long 1359373750
|
|
.long 1070605818
|
|
.long 1748171336
|
|
.long 3161879263
|
|
.long 908341706
|
|
.long 1070667034
|
|
.long 3372710815
|
|
.long 3161775245
|
|
.long 1743027350
|
|
.long 1070727765
|
|
.long 687089934
|
|
.long 3160507171
|
|
.long 2055355646
|
|
.long 1070787992
|
|
.long 2392855242
|
|
.long 1013682469
|
|
.long 690426164
|
|
.long 1070847697
|
|
.long 1103926666
|
|
.long 1014052810
|
|
.long 1483247847
|
|
.long 1070906862
|
|
.long 2082645847
|
|
.long 3161345479
|
|
.long 392040270
|
|
.long 1070965472
|
|
.long 2407720023
|
|
.long 1014053754
|
|
.long 2673846014
|
|
.long 1071023511
|
|
.long 1293605532
|
|
.long 3158464385
|
|
.long 1384215810
|
|
.long 1071080967
|
|
.long 2446095872
|
|
.long 3159216407
|
|
.long 3101660631
|
|
.long 1071137826
|
|
.long 698040758
|
|
.long 1014855328
|
|
.long 2094057058
|
|
.long 1071194078
|
|
.long 2282048339
|
|
.long 1014040385
|
|
.long 1712750594
|
|
.long 1071249712
|
|
.long 1204372378
|
|
.long 3162276464
|
|
.long 1411515787
|
|
.long 1071304719
|
|
.long 949080808
|
|
.long 1015006403
|
|
.long 931538085
|
|
.long 1071359091
|
|
.long 3027127039
|
|
.long 1014307233
|
|
.long 179139065
|
|
.long 1071412821
|
|
.long 4285547492
|
|
.long 3161934731
|
|
.long 3387721259
|
|
.long 1071465902
|
|
.long 373225773
|
|
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.type static_const_table,@object
|
|
.size static_const_table,2704
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|
.data
|
|
.section .note.GNU-stack, ""
|
|
# End
|