2014-10-31 11:29:18 +01:00
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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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// Assume x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52, where j = 0,1,2.
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// Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5],
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// where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in double precision
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// cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
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// (T stores the high 53 bits, D stores the low order bits)
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// Result=2^k*T+(2^k*T*r)*P+2^k*D
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// where P=p1+p2*r+..+p8*r^7
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//
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// Special cases:
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// cbrt(NaN) = quiet NaN, and raise invalid exception
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// cbrt(INF) = that INF
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// cbrt(+/-0) = +/-0
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin cbrt
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ENTRY(cbrt)
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# parameter 1: %xmm0
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..B1.1:
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..___tag_value_cbrt.1:
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subq $24, %rsp
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..___tag_value_cbrt.3:
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movsd %xmm0, (%rsp)
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..B1.2:
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movq %xmm0, %xmm7
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movl $524032, %edx
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movsd EXP_MSK3(%rip), %xmm5
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movsd EXP_MSK2(%rip), %xmm3
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psrlq $44, %xmm7
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pextrw $0, %xmm7, %ecx
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movd %xmm7, %eax
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movsd EXP_MASK(%rip), %xmm1
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movsd SIG_MASK(%rip), %xmm2
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andl $248, %ecx
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lea rcp_table(%rip), %r8
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movsd (%rcx,%r8), %xmm4
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movq %rax, %r9
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andl %eax, %edx
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cmpl $0, %edx
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je .L_2TAG_PACKET_0.0.1
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cmpl $524032, %edx
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je .L_2TAG_PACKET_1.0.1
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shrl $8, %edx
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shrq $8, %r9
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andpd %xmm0, %xmm2
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andpd %xmm5, %xmm0
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orpd %xmm2, %xmm3
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orpd %xmm0, %xmm1
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movapd coeff_table(%rip), %xmm5
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movl $5462, %eax
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movapd 16+coeff_table(%rip), %xmm6
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mull %edx
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movq %r9, %rdx
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andq $2047, %r9
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shrl $14, %eax
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andl $2048, %edx
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subq %rax, %r9
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subq %rax, %r9
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subq %rax, %r9
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shlq $8, %r9
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addl $682, %eax
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orl %edx, %eax
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movd %eax, %xmm7
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addq %r9, %rcx
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psllq $52, %xmm7
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.L_2TAG_PACKET_2.0.1:
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movapd 32+coeff_table(%rip), %xmm2
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movapd 48+coeff_table(%rip), %xmm0
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subsd %xmm3, %xmm1
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movq %xmm7, %xmm3
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lea cbrt_table(%rip), %r8
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mulsd (%rcx,%r8), %xmm7
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mulsd %xmm4, %xmm1
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lea D_table(%rip), %r8
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mulsd (%rcx,%r8), %xmm3
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movapd %xmm1, %xmm4
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unpcklpd %xmm1, %xmm1
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mulpd %xmm1, %xmm5
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mulpd %xmm1, %xmm6
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mulpd %xmm1, %xmm1
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addpd %xmm5, %xmm2
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addpd %xmm6, %xmm0
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mulpd %xmm1, %xmm2
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mulpd %xmm1, %xmm1
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mulsd %xmm7, %xmm4
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addpd %xmm2, %xmm0
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mulsd %xmm0, %xmm1
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unpckhpd %xmm0, %xmm0
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addsd %xmm1, %xmm0
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mulsd %xmm4, %xmm0
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addsd %xmm3, %xmm0
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addsd %xmm7, %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_0.0.1:
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mulsd SCALE63(%rip), %xmm0
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movq %xmm0, %xmm7
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movl $524032, %edx
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psrlq $44, %xmm7
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pextrw $0, %xmm7, %ecx
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movd %xmm7, %eax
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andl $248, %ecx
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lea rcp_table(%rip), %r8
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movsd (%rcx,%r8), %xmm4
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movq %rax, %r9
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andl %eax, %edx
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shrl $8, %edx
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shrq $8, %r9
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cmpl $0, %edx
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je .L_2TAG_PACKET_3.0.1
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andpd %xmm0, %xmm2
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andpd %xmm5, %xmm0
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orpd %xmm2, %xmm3
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orpd %xmm0, %xmm1
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movapd coeff_table(%rip), %xmm5
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movl $5462, %eax
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movapd 16+coeff_table(%rip), %xmm6
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mull %edx
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movq %r9, %rdx
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andq $2047, %r9
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shrl $14, %eax
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andl $2048, %edx
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subq %rax, %r9
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subq %rax, %r9
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subq %rax, %r9
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shlq $8, %r9
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addl $661, %eax
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orl %edx, %eax
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movd %eax, %xmm7
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addq %r9, %rcx
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psllq $52, %xmm7
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jmp .L_2TAG_PACKET_2.0.1
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.L_2TAG_PACKET_3.0.1:
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cmpq $0, %r9
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jne .L_2TAG_PACKET_4.0.1
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xorpd %xmm0, %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_4.0.1:
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movsd ZERON(%rip), %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_1.0.1:
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movl 4(%rsp), %eax
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movl (%rsp), %edx
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movl %eax, %ecx
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andl $2147483647, %ecx
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cmpl $2146435072, %ecx
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ja .L_2TAG_PACKET_5.0.1
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cmpl $0, %edx
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jne .L_2TAG_PACKET_5.0.1
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cmpl $2146435072, %eax
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jne .L_2TAG_PACKET_6.0.1
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movsd INF(%rip), %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_6.0.1:
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movsd NEG_INF(%rip), %xmm0
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jmp ..B1.4
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.L_2TAG_PACKET_5.0.1:
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movsd (%rsp), %xmm0
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addsd %xmm0, %xmm0
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movq %xmm0, 8(%rsp)
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.L_2TAG_PACKET_7.0.1:
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..B1.4:
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addq $24, %rsp
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..___tag_value_cbrt.4:
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ret
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..___tag_value_cbrt.5:
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END(cbrt)
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# -- End cbrt
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.section .rodata, "a"
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.align 16
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.align 16
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coeff_table:
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.long 1553778919
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.long 3213899486
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.long 3534952507
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.long 3215266280
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.long 1646371399
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.long 3214412045
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.long 477218588
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.long 3216798151
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.long 3582521621
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.long 1066628362
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.long 1007461464
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.long 1068473053
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.long 889629714
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.long 1067378449
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.long 1431655765
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.long 1070945621
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.type coeff_table,@object
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.size coeff_table,64
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.align 4
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EXP_MSK3:
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.long 4294967295
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.long 1048575
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.type EXP_MSK3,@object
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.size EXP_MSK3,8
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.align 4
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EXP_MSK2:
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.long 0
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.long 3220193280
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.type EXP_MSK2,@object
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.size EXP_MSK2,8
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.align 4
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EXP_MASK:
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.long 0
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.long 3220176896
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.type EXP_MASK,@object
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.size EXP_MASK,8
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.align 4
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SIG_MASK:
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.long 0
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.long 1032192
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.type SIG_MASK,@object
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.size SIG_MASK,8
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.align 4
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rcp_table:
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.long 528611360
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.long 3220144632
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.long 2884679527
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.long 3220082993
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.long 1991868891
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.long 3220024928
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.long 2298714891
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.long 3219970134
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.long 58835168
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.long 3219918343
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.long 3035110223
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.long 3219869313
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.long 1617585086
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.long 3219822831
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.long 2500867033
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.long 3219778702
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.long 4241943008
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.long 3219736752
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.long 258732970
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.long 3219696825
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.long 404232216
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.long 3219658776
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.long 2172167368
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.long 3219622476
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.long 1544257904
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.long 3219587808
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.long 377579543
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.long 3219554664
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.long 1616385542
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.long 3219522945
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.long 813783277
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.long 3219492562
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.long 3940743189
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.long 3219463431
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.long 2689777499
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.long 3219435478
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.long 1700977147
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.long 3219408632
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.long 3169102082
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.long 3219382828
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.long 327235604
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.long 3219358008
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.long 1244336319
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.long 3219334115
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.long 1300311200
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.long 3219311099
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.long 3095471925
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.long 3219288912
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.long 2166487928
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.long 3219267511
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.long 2913108253
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.long 3219246854
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.long 293672978
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.long 3219226904
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.long 288737297
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.long 3219207624
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.long 1810275472
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.long 3219188981
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.long 174592167
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.long 3219170945
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.long 3539053052
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.long 3219153485
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.long 2164392968
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.long 3219136576
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.type rcp_table,@object
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.size rcp_table,256
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.align 4
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.align 4
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D_table:
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.long 1017962711
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.long 2127316774
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.long 1017405770
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.long 1017912225
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.long 1013257418
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.long 4123916326
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.long 1017582284
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.long 1976417958
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.long 1016959909
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.long 4092806412
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.long 1017711279
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.long 119251817
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.long 1015363631
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.long 3475418768
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.long 1017517969
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.long 2429917451
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.long 1017397776
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.long 4062888482
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.long 1016749897
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.long 68284153
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.long 1017925678
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.long 2207779246
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.long 1016320298
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.long 1183466520
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.long 1017408657
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.type D_table,@object
|
|
|
|
|
.size D_table,768
|
|
|
|
|
.align 4
|
|
|
|
|
SCALE63:
|
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|
|
.long 0
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.long 1138753536
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.type SCALE63,@object
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.size SCALE63,8
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|
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.align 4
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|
|
ZERON:
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|
|
.long 0
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.long 2147483648
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.type ZERON,@object
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|
.size ZERON,8
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|
|
.align 4
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|
|
|
|
INF:
|
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|
|
.long 0
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.long 2146435072
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.type INF,@object
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.size INF,8
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|
.align 4
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|
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|
|
NEG_INF:
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|
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|
|
.long 0
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|
|
.long 4293918720
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|
.type NEG_INF,@object
|
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|
|
.size NEG_INF,8
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|
|
|
|
.data
|
2020-08-21 21:12:46 +02:00
|
|
|
.section .note.GNU-stack, "",@progbits
|
2014-10-31 11:29:18 +01:00
|
|
|
// -- 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_cbrt.1-.
|
|
|
|
|
.4byte ..___tag_value_cbrt.5-..___tag_value_cbrt.1
|
|
|
|
|
.2byte 0x0400
|
|
|
|
|
.4byte ..___tag_value_cbrt.3-..___tag_value_cbrt.1
|
|
|
|
|
.2byte 0x200e
|
|
|
|
|
.byte 0x04
|
|
|
|
|
.4byte ..___tag_value_cbrt.4-..___tag_value_cbrt.3
|
|
|
|
|
.2byte 0x080e
|
|
|
|
|
.byte 0x00
|
|
|
|
|
# End
|
