928 lines
20 KiB
ArmAsm
928 lines
20 KiB
ArmAsm
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/*
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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 atan
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ENTRY(atan)
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# parameter 1: %xmm0
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..B1.1:
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..___tag_value_atan.1:
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pushq %rsi
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..___tag_value_atan.3:
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movsd %xmm0, (%rsp)
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..B1.2:
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movq $0xffff000000000000, %r8
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movd %r8, %xmm3
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movq ONEMASK(%rip), %xmm5
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movq $0x800000000000, %r9
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movd %r9, %xmm4
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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_0.0.1
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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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movq a2(%rip), %xmm2
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movq b2(%rip), %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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lea atan_tbl(%rip), %r8
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movq (%r8,%rdx,8), %xmm6
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movq 8(%r8,%rdx,8), %xmm5
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xorpd %xmm7, %xmm5
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xorpd %xmm7, %xmm6
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movq 8+a2(%rip), %xmm7
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movddup %xmm0, %xmm1
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mulsd %xmm0, %xmm0
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movddup %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 8+b2(%rip), %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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jmp .L_2TAG_PACKET_1.0.1
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.L_2TAG_PACKET_0.0.1:
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addl $944, %edx
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cmpl $1103, %edx
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ja .L_2TAG_PACKET_2.0.1
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movq a2(%rip), %xmm4
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movq b2(%rip), %xmm7
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movq (%rsp), %xmm0
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mulsd %xmm1, %xmm1
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movq 8+a2(%rip), %xmm2
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movq 8+b2(%rip), %xmm5
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mulsd %xmm1, %xmm4
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addsd %xmm1, %xmm7
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movq %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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jmp .L_2TAG_PACKET_1.0.1
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.L_2TAG_PACKET_2.0.1:
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addl $15344, %edx
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cmpl $16368, %edx
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ja .L_2TAG_PACKET_3.0.1
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movq (%rsp), %xmm0
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movq (%rsp), %xmm1
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cmpl $16, %edx
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jae .L_2TAG_PACKET_1.0.1
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mulsd %xmm0, %xmm1
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jmp .L_2TAG_PACKET_1.0.1
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.L_2TAG_PACKET_3.0.1:
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cmpl $17392, %edx
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jae .L_2TAG_PACKET_4.0.1
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movq $0xbff0000000000000, %r8
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movd %r8, %xmm1
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divsd %xmm0, %xmm1
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movq a2(%rip), %xmm2
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movq b2(%rip), %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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movq pi_table(%rip), %xmm6
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movq 8+pi_table(%rip), %xmm5
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xorpd %xmm7, %xmm5
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xorpd %xmm7, %xmm6
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movq 8+a2(%rip), %xmm7
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movddup %xmm1, %xmm0
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mulsd %xmm1, %xmm1
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movddup %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 8+b2(%rip), %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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jmp .L_2TAG_PACKET_1.0.1
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.L_2TAG_PACKET_4.0.1:
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movq (%rsp), %xmm4
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movq SGNMASK(%rip), %xmm0
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movq pi_table(%rip), %xmm2
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movq 8+pi_table(%rip), %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_5.0.1
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.L_2TAG_PACKET_6.0.1:
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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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jmp .L_2TAG_PACKET_1.0.1
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.L_2TAG_PACKET_5.0.1:
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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_6.0.1
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movq %xmm4, %xmm0
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addsd %xmm0, %xmm0
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.L_2TAG_PACKET_1.0.1:
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..B1.3:
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|
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popq %rcx
|
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|
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..___tag_value_atan.4:
|
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|
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ret
|
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|
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..___tag_value_atan.5:
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END(atan)
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# -- End atan
|
||
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.section .rodata, "a"
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.align 4
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.align 4
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ONEMASK:
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.long 0
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.long 1072693248
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.type ONEMASK,@object
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.size ONEMASK,8
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.align 4
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|
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a2:
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|
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.long 2006262985
|
||
|
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.long 1069310863
|
||
|
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.long 2358449471
|
||
|
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.long 3217342131
|
||
|
|
.type a2,@object
|
||
|
|
.size a2,16
|
||
|
|
.align 4
|
||
|
|
b2:
|
||
|
|
.long 3845454352
|
||
|
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.long 1069952297
|
||
|
|
.long 2829679149
|
||
|
|
.long 1073771565
|
||
|
|
.type b2,@object
|
||
|
|
.size b2,16
|
||
|
|
.align 4
|
||
|
|
atan_tbl:
|
||
|
|
.long 0
|
||
|
|
.long 0
|
||
|
|
.long 0
|
||
|
|
.long 0
|
||
|
|
.long 3819695742
|
||
|
|
.long 1067482761
|
||
|
|
.long 2398680355
|
||
|
|
.long 3155462074
|
||
|
|
.long 2998791009
|
||
|
|
.long 1067548225
|
||
|
|
.long 3868465248
|
||
|
|
.long 3157182472
|
||
|
|
.long 3339424991
|
||
|
|
.long 1067613680
|
||
|
|
.long 3296670360
|
||
|
|
.long 1010752543
|
||
|
|
.long 2710002256
|
||
|
|
.long 1067679126
|
||
|
|
.long 3403896007
|
||
|
|
.long 1010910768
|
||
|
|
.long 3275701428
|
||
|
|
.long 1067744562
|
||
|
|
.long 119959933
|
||
|
|
.long 1011482843
|
||
|
|
.long 2908636881
|
||
|
|
.long 1067809988
|
||
|
|
.long 2464489612
|
||
|
|
.long 1011545526
|
||
|
|
.long 3777889398
|
||
|
|
.long 1067875403
|
||
|
|
.long 3262682165
|
||
|
|
.long 1009703919
|
||
|
|
.long 3759667419
|
||
|
|
.long 1067940807
|
||
|
|
.long 1838130851
|
||
|
|
.long 3157373556
|
||
|
|
.long 732369940
|
||
|
|
.long 1068006200
|
||
|
|
.long 1203428313
|
||
|
|
.long 1010055371
|
||
|
|
.long 1166616461
|
||
|
|
.long 1068071580
|
||
|
|
.long 2901274051
|
||
|
|
.long 3158549977
|
||
|
|
.long 2945472892
|
||
|
|
.long 1068136947
|
||
|
|
.long 3726120658
|
||
|
|
.long 1009762715
|
||
|
|
.long 3954480976
|
||
|
|
.long 1068202301
|
||
|
|
.long 1289173457
|
||
|
|
.long 1009429861
|
||
|
|
.long 2081752829
|
||
|
|
.long 1068267642
|
||
|
|
.long 1836909874
|
||
|
|
.long 1006212095
|
||
|
|
.long 3807999788
|
||
|
|
.long 1068332968
|
||
|
|
.long 2172459940
|
||
|
|
.long 3156162078
|
||
|
|
.long 2731789884
|
||
|
|
.long 1068398280
|
||
|
|
.long 3450718392
|
||
|
|
.long 3159216547
|
||
|
|
.long 1044477961
|
||
|
|
.long 1068463577
|
||
|
|
.long 2230553229
|
||
|
|
.long 1011424339
|
||
|
|
.long 1486930287
|
||
|
|
.long 1068530218
|
||
|
|
.long 2861547474
|
||
|
|
.long 1012041376
|
||
|
|
.long 2293016881
|
||
|
|
.long 1068595466
|
||
|
|
.long 136843272
|
||
|
|
.long 1012684797
|
||
|
|
.long 201518157
|
||
|
|
.long 1068660680
|
||
|
|
.long 63231984
|
||
|
|
.long 1012427198
|
||
|
|
.long 4054234584
|
||
|
|
.long 1068725856
|
||
|
|
.long 3927006960
|
||
|
|
.long 1011878955
|
||
|
|
.long 1246477213
|
||
|
|
.long 1068790995
|
||
|
|
.long 1494265652
|
||
|
|
.long 3155219350
|
||
|
|
.long 678186699
|
||
|
|
.long 1068856093
|
||
|
|
.long 1264361424
|
||
|
|
.long 3159256693
|
||
|
|
.long 2690594995
|
||
|
|
.long 1068921148
|
||
|
|
.long 3906996379
|
||
|
|
.long 1009288267
|
||
|
|
.long 3362611517
|
||
|
|
.long 1068986159
|
||
|
|
.long 1650970041
|
||
|
|
.long 3158331771
|
||
|
|
.long 3102162111
|
||
|
|
.long 1069051124
|
||
|
|
.long 365917035
|
||
|
|
.long 3160264153
|
||
|
|
.long 2352611067
|
||
|
|
.long 1069116041
|
||
|
|
.long 4008970190
|
||
|
|
.long 3159478182
|
||
|
|
.long 1594134794
|
||
|
|
.long 1069180908
|
||
|
|
.long 466690178
|
||
|
|
.long 1012526501
|
||
|
|
.long 1345079306
|
||
|
|
.long 1069245723
|
||
|
|
.long 2268273568
|
||
|
|
.long 3160164092
|
||
|
|
.long 2163300970
|
||
|
|
.long 1069310484
|
||
|
|
.long 2750834800
|
||
|
|
.long 3158113482
|
||
|
|
.long 352522716
|
||
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|
|
.long 3511218460
|
||
|
|
.long 1073184599
|
||
|
|
.long 1243608109
|
||
|
|
.long 3161592122
|
||
|
|
.long 4121259284
|
||
|
|
.long 1073189793
|
||
|
|
.long 398584912
|
||
|
|
.long 3163829923
|
||
|
|
.long 1193862106
|
||
|
|
.long 1073194509
|
||
|
|
.long 1873745539
|
||
|
|
.long 3163802819
|
||
|
|
.long 3861949790
|
||
|
|
.long 1073198808
|
||
|
|
.long 3841261147
|
||
|
|
.long 1015587248
|
||
|
|
.long 1486904578
|
||
|
|
.long 1073202745
|
||
|
|
.long 1634726776
|
||
|
|
.long 3163847886
|
||
|
|
.long 2879153715
|
||
|
|
.long 1073206362
|
||
|
|
.long 200456242
|
||
|
|
.long 3164138657
|
||
|
|
.long 385353253
|
||
|
|
.long 1073209698
|
||
|
|
.long 1186355517
|
||
|
|
.long 1014887155
|
||
|
|
.long 1125865839
|
||
|
|
.long 1073212783
|
||
|
|
.long 203561262
|
||
|
|
.long 3161244927
|
||
|
|
.long 1221361475
|
||
|
|
.long 1073215645
|
||
|
|
.long 3382476563
|
||
|
|
.long 1014936138
|
||
|
|
.long 2077323573
|
||
|
|
.long 1073218307
|
||
|
|
.long 1005121005
|
||
|
|
.long 3164430752
|
||
|
|
.long 215611373
|
||
|
|
.long 1073220790
|
||
|
|
.long 353198764
|
||
|
|
.long 3164485137
|
||
|
|
.long 2347419265
|
||
|
|
.long 1073223110
|
||
|
|
.long 1103143360
|
||
|
|
.long 1016542137
|
||
|
|
.long 1379112765
|
||
|
|
.long 1073225284
|
||
|
|
.long 381583533
|
||
|
|
.long 3162870833
|
||
|
|
.long 3891198463
|
||
|
|
.long 1073228298
|
||
|
|
.long 1771275754
|
||
|
|
.long 1014654681
|
||
|
|
.long 3395914051
|
||
|
|
.long 1073231917
|
||
|
|
.long 2350900914
|
||
|
|
.long 3164013978
|
||
|
|
.long 2799919478
|
||
|
|
.long 1073235146
|
||
|
|
.long 2893950164
|
||
|
|
.long 3163260901
|
||
|
|
.long 1138673476
|
||
|
|
.long 1073238045
|
||
|
|
.long 2622204785
|
||
|
|
.long 3164174388
|
||
|
|
.long 3408855940
|
||
|
|
.long 1073240661
|
||
|
|
.long 2800881650
|
||
|
|
.long 1016008624
|
||
|
|
.long 2044858738
|
||
|
|
.long 1073243035
|
||
|
|
.long 604544785
|
||
|
|
.long 1017022901
|
||
|
|
.long 2578795176
|
||
|
|
.long 1073245198
|
||
|
|
.long 2557332925
|
||
|
|
.long 1016135165
|
||
|
|
.long 4196285314
|
||
|
|
.long 1073247177
|
||
|
|
.long 2032365307
|
||
|
|
.long 1016194735
|
||
|
|
.long 224877747
|
||
|
|
.long 1073248996
|
||
|
|
.long 497926916
|
||
|
|
.long 1016947111
|
||
|
|
.long 3271386490
|
||
|
|
.long 1073250671
|
||
|
|
.long 2689994846
|
||
|
|
.long 1016631513
|
||
|
|
.long 813635989
|
||
|
|
.long 1073252221
|
||
|
|
.long 747035277
|
||
|
|
.long 3164530136
|
||
|
|
.long 369829519
|
||
|
|
.long 1073253658
|
||
|
|
.long 2182033858
|
||
|
|
.long 3163190340
|
||
|
|
.long 1187679052
|
||
|
|
.long 1073254994
|
||
|
|
.long 673954443
|
||
|
|
.long 1016149821
|
||
|
|
.long 4232586098
|
||
|
|
.long 1073256239
|
||
|
|
.long 497775200
|
||
|
|
.long 3162179015
|
||
|
|
.long 426690558
|
||
|
|
.long 1073257404
|
||
|
|
.long 3063343247
|
||
|
|
.long 1016865578
|
||
|
|
.long 1624065902
|
||
|
|
.long 1073258494
|
||
|
|
.long 1354224996
|
||
|
|
.long 3163503778
|
||
|
|
.long 1413754136
|
||
|
|
.long 1073291771
|
||
|
|
.long 856972295
|
||
|
|
.long 1016178214
|
||
|
|
.type atan_tbl,@object
|
||
|
|
.size atan_tbl,2592
|
||
|
|
.align 4
|
||
|
|
pi_table:
|
||
|
|
.long 1413754136
|
||
|
|
.long 1073291771
|
||
|
|
.long 856972295
|
||
|
|
.long 1016178214
|
||
|
|
.type pi_table,@object
|
||
|
|
.size pi_table,16
|
||
|
|
.align 4
|
||
|
|
SGNMASK:
|
||
|
|
.long 4294967295
|
||
|
|
.long 2147483647
|
||
|
|
.type SGNMASK,@object
|
||
|
|
.size SGNMASK,8
|
||
|
|
.data
|
||
|
|
.section .note.GNU-stack, ""
|
||
|
|
// -- Begin DWARF2 SEGMENT .eh_frame
|
||
|
|
.section .eh_frame,"a",@progbits
|
||
|
|
.eh_frame_seg:
|
||
|
|
.align 1
|
||
|
|
.4byte 0x00000014
|
||
|
|
.8byte 0x00527a0100000000
|
||
|
|
.8byte 0x08070c1b01107801
|
||
|
|
.4byte 0x00000190
|
||
|
|
.4byte 0x0000001c
|
||
|
|
.4byte 0x0000001c
|
||
|
|
.4byte ..___tag_value_atan.1-.
|
||
|
|
.4byte ..___tag_value_atan.5-..___tag_value_atan.1
|
||
|
|
.2byte 0x0400
|
||
|
|
.4byte ..___tag_value_atan.3-..___tag_value_atan.1
|
||
|
|
.2byte 0x100e
|
||
|
|
.byte 0x04
|
||
|
|
.4byte ..___tag_value_atan.4-..___tag_value_atan.3
|
||
|
|
.2byte 0x080e
|
||
|
|
.byte 0x00
|
||
|
|
# End
|