path: root/libm/x86_64/e_pow.S

/*
Copyright (c) 2014, Intel Corporation
All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

    * Redistributions of source code must retain the above copyright notice,
    * this list of conditions and the following disclaimer.

    * Redistributions in binary form must reproduce the above copyright notice,
    * this list of conditions and the following disclaimer in the documentation
    * and/or other materials provided with the distribution.

    * Neither the name of Intel Corporation nor the names of its contributors
    * may be used to endorse or promote products derived from this software
    * without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

/******************************************************************************/
//                     ALGORITHM DESCRIPTION
//                     ---------------------
//
//    Let x=2^k * mx, mx in [1,2)
//
//    log2(x) calculation:
//
//    Get B~1/mx based on the output of rcpps instruction (B0)
//    B = int((B0*LH*2^9+0.5))/2^9
//    LH is a short approximation for log2(e)
//
//    Reduced argument, scaled by LH:
//                r=B*mx-LH (computed accurately in high and low parts)
//
//    log2(x) result:  k - log2(B) + p(r)
//             p(r) is a degree 8 polynomial
//             -log2(B) read from data table (high, low parts)
//             log2(x) is formed from high and low parts
//    For |x| in [1-1/32, 1+1/16), a slower but more accurate computation
//    based om the same table design is performed.
//
//   Main path is taken if | floor(log2(|log2(|x|)|) + floor(log2|y|) | < 8,
//   to filter out all potential OF/UF cases.
//   exp2(y*log2(x)) is computed using an 8-bit index table and a degree 5
//   polynomial
//
// Special cases:
//  pow(-0,y) = -INF and raises the divide-by-zero exception for y an odd 
//  integer < 0.
//  pow(-0,y) = +INF and raises the divide-by-zero exception for y < 0 and 
//  not an odd integer.
//  pow(-0,y) = -0 for y an odd integer > 0.
//  pow(-0,y) = +0 for y > 0 and not an odd integer.
//  pow(-1,-INF) = 1.
//  pow(+1,y) = 1 for any y, even a NaN.
//  pow(x,-0) = 1 for any x, even a NaN.
//  pow(x,y) = a NaN and raises the invalid exception for finite x < 0 and
//  finite non-integer y.
//  pow(x,-INF) = +INF for |x|<1.
//  pow(x,-INF) = +0 for |x|>1.
//  pow(x,+INF) = +0 for |x|<1.
//  pow(x,+INF) = +INF for |x|>1.
//  pow(-INF,y) = -0 for y an odd integer < 0.
//  pow(-INF,y) = +0 for y < 0 and not an odd integer.
//  pow(-INF,y) = -INF for y an odd integer > 0.
//  pow(-INF,y) = +INF for y > 0 and not an odd integer.
//  pow(+INF,y) = +0 for y <0.
//  pow(+INF,y) = +INF for y >0.
//
/******************************************************************************/

#include <private/bionic_asm.h>
# -- Begin  pow
ENTRY(pow)
# parameter 1: %xmm0
# parameter 2: %xmm1
..B1.1:
..___tag_value_pow.1:
        subq      $40, %rsp
..___tag_value_pow.3:
        movsd     %xmm0, 8(%rsp)
        movsd     %xmm1, 16(%rsp)
..B1.2:
        pextrw    $3, %xmm0, %eax
        xorpd     %xmm2, %xmm2
        movq      $0x3ff0000000000000, %r9
        movd      %r9, %xmm2
        movl      $1069088768, %r8d
        movd      %r8, %xmm7
        xorpd     %xmm1, %xmm1
        movq      $0x77f0000000000000, %r10
        movd      %r10, %xmm1
        movq      %xmm0, %xmm3
        movl      $32752, %edx
        andl      %eax, %edx
        subl      $16368, %edx
        movl      %edx, %ecx
        sarl      $31, %edx
        addl      %edx, %ecx
        xorl      %edx, %ecx
        orpd      %xmm2, %xmm0
        movapd    HIGHSIGMASK(%rip), %xmm6
        psrlq     $27, %xmm0
        movq      LOG2_E(%rip), %xmm2
        psrld     $2, %xmm0
        addl      $16, %ecx
        bsr       %ecx, %ecx
        rcpps     %xmm0, %xmm0
        psllq     $12, %xmm3
        movl      $8192, %r11d
        movd      %r11, %xmm4
        psrlq     $12, %xmm3
        subl      $16, %eax
        cmpl      $32736, %eax
        jae       .L_2TAG_PACKET_0.0.2
        movq      $0, %r8
.L_2TAG_PACKET_1.0.2:
        mulss     %xmm7, %xmm0
        movl      $-1, %edx
        subl      $4, %ecx
        shll      %cl, %edx
        shlq      $32, %rdx
        movd      %rdx, %xmm5
        orpd      %xmm1, %xmm3
        subl      $16351, %eax
        cmpl      $1, %eax
        jbe       .L_2TAG_PACKET_2.0.2
        paddd     %xmm4, %xmm0
        andpd     %xmm3, %xmm5
        movd      %xmm0, %edx
        psllq     $29, %xmm0
.L_2TAG_PACKET_3.0.2:
        subsd     %xmm5, %xmm3
        andpd     %xmm6, %xmm0
        subl      $1, %eax
        sarl      $4, %eax
        cvtsi2sd  %eax, %xmm7
        mulpd     %xmm0, %xmm5
.L_2TAG_PACKET_4.0.2:
        mulsd     %xmm0, %xmm3
        movapd    coeff(%rip), %xmm1
        lea       L_tbl(%rip), %r11
        subsd     %xmm2, %xmm5
        movapd    16+coeff(%rip), %xmm4
        movl      %eax, %ecx
        sarl      $31, %eax
        addl      %eax, %ecx
        xorl      %ecx, %eax
        addl      $1, %eax
        bsr       %eax, %eax
        unpcklpd  %xmm3, %xmm5
        movapd    32+coeff(%rip), %xmm6
        addsd     %xmm5, %xmm3
        andl      $16760832, %edx
        shrl      $10, %edx
        addpd     -3648(%r11,%rdx), %xmm5
        movapd    48+coeff(%rip), %xmm0
        pshufd    $68, %xmm3, %xmm2
        mulsd     %xmm3, %xmm3
        mulpd     %xmm2, %xmm1
        mulpd     %xmm2, %xmm4
        addsd     %xmm7, %xmm5
        mulsd     %xmm3, %xmm2
        addpd     %xmm1, %xmm6
        mulsd     %xmm3, %xmm3
        addpd     %xmm4, %xmm0
        movq      16(%rsp), %xmm1
        movw      22(%rsp), %cx
        pshufd    $238, %xmm5, %xmm7
        movq      HIGHMASK_Y(%rip), %xmm4
        mulpd     %xmm2, %xmm6
        pshufd    $68, %xmm3, %xmm3
        mulpd     %xmm2, %xmm0
        shll      $4, %eax
        subl      $15872, %eax
        andl      $32752, %ecx
        addl      %ecx, %eax
        mulpd     %xmm6, %xmm3
        cmpl      $624, %eax
        jae       .L_2TAG_PACKET_5.0.2
        xorpd     %xmm6, %xmm6
        movl      $17080, %edx
        pinsrw    $3, %edx, %xmm6
        movq      %xmm1, %xmm2
        andpd     %xmm1, %xmm4
        subsd     %xmm4, %xmm1
        mulsd     %xmm5, %xmm4
        addsd     %xmm7, %xmm0
        mulsd     %xmm5, %xmm1
        movq      %xmm6, %xmm7
        addsd     %xmm4, %xmm6
        lea       T_exp(%rip), %r11
        addpd     %xmm0, %xmm3
        movd      %xmm6, %edx
        subsd     %xmm7, %xmm6
        pshufd    $238, %xmm3, %xmm0
        subsd     %xmm6, %xmm4
        addsd     %xmm3, %xmm0
        movl      %edx, %ecx
        andl      $255, %edx
        addl      %edx, %edx
        movapd    (%r11,%rdx,8), %xmm5
        addsd     %xmm1, %xmm4
        mulsd     %xmm0, %xmm2
        movapd    e_coeff(%rip), %xmm7
        movapd    16+e_coeff(%rip), %xmm3
        shll      $12, %ecx
        xorl      %r8d, %ecx
        andl      $-1048576, %ecx
        movd      %rcx, %xmm6
        addsd     %xmm4, %xmm2
        movq      $0x3fe62e42fefa39ef, %r9
        movd      %r9, %xmm1
        pshufd    $68, %xmm2, %xmm0
        pshufd    $68, %xmm2, %xmm4
        mulsd     %xmm2, %xmm1
        pshufd    $17, %xmm6, %xmm6
        mulpd     %xmm0, %xmm0
        mulpd     %xmm4, %xmm7
        paddd     %xmm6, %xmm5
        mulsd     %xmm5, %xmm1
        pshufd    $238, %xmm5, %xmm6
        mulsd     %xmm0, %xmm0
        addpd     %xmm7, %xmm3
        addsd     %xmm6, %xmm1
        mulpd     %xmm3, %xmm0
        pshufd    $238, %xmm0, %xmm3
        mulsd     %xmm5, %xmm0
        mulsd     %xmm5, %xmm3
        addsd     %xmm1, %xmm0
        addsd     %xmm3, %xmm0
        addsd     %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_0.0.2:
        addl      $16, %eax
        movl      $32752, %edx
        andl      %eax, %edx
        cmpl      $32752, %edx
        je        .L_2TAG_PACKET_6.0.2
        testl     $32768, %eax
        jne       .L_2TAG_PACKET_7.0.2
.L_2TAG_PACKET_8.0.2:
        movq      8(%rsp), %xmm0
        movq      8(%rsp), %xmm3
        movd      %xmm3, %edx
        psrlq     $32, %xmm3
        movd      %xmm3, %ecx
        orl       %ecx, %edx
        cmpl      $0, %edx
        je        .L_2TAG_PACKET_9.0.2
        xorpd     %xmm3, %xmm3
        movl      $18416, %eax
        pinsrw    $3, %eax, %xmm3
        mulsd     %xmm3, %xmm0
        xorpd     %xmm2, %xmm2
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm2
        movq      %xmm0, %xmm3
        pextrw    $3, %xmm0, %eax
        orpd      %xmm2, %xmm0
        movl      $18416, %ecx
        psrlq     $27, %xmm0
        movq      LOG2_E(%rip), %xmm2
        psrld     $2, %xmm0
        rcpps     %xmm0, %xmm0
        psllq     $12, %xmm3
        movapd    HIGHSIGMASK(%rip), %xmm6
        psrlq     $12, %xmm3
        mulss     %xmm7, %xmm0
        movl      $-1024, %edx
        movd      %edx, %xmm5
        orpd      %xmm1, %xmm3
        paddd     %xmm4, %xmm0
        psllq     $32, %xmm5
        movd      %xmm0, %edx
        psllq     $29, %xmm0
        andpd     %xmm3, %xmm5
        movl      $0, %r8d
        andpd     %xmm6, %xmm0
        subsd     %xmm5, %xmm3
        andl      $32752, %eax
        subl      $18416, %eax
        sarl      $4, %eax
        cvtsi2sd  %eax, %xmm7
        mulpd     %xmm0, %xmm5
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_10.0.2:
        movq      8(%rsp), %xmm0
        movq      8(%rsp), %xmm3
        movd      %xmm3, %edx
        psrlq     $32, %xmm3
        movd      %xmm3, %ecx
        orl       %ecx, %edx
        cmpl      $0, %edx
        je        .L_2TAG_PACKET_9.0.2
        xorpd     %xmm3, %xmm3
        movl      $18416, %eax
        pinsrw    $3, %eax, %xmm3
        mulsd     %xmm3, %xmm0
        xorpd     %xmm2, %xmm2
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm2
        movq      %xmm0, %xmm3
        pextrw    $3, %xmm0, %eax
        orpd      %xmm2, %xmm0
        movl      $18416, %ecx
        psrlq     $27, %xmm0
        movq      LOG2_E(%rip), %xmm2
        psrld     $2, %xmm0
        rcpps     %xmm0, %xmm0
        psllq     $12, %xmm3
        movapd    HIGHSIGMASK(%rip), %xmm6
        psrlq     $12, %xmm3
        mulss     %xmm7, %xmm0
        movl      $-1024, %edx
        movd      %edx, %xmm5
        orpd      %xmm1, %xmm3
        paddd     %xmm4, %xmm0
        psllq     $32, %xmm5
        movd      %xmm0, %edx
        psllq     $29, %xmm0
        andpd     %xmm3, %xmm5
        movl      $-2147483648, %r8d
        andpd     %xmm6, %xmm0
        subsd     %xmm5, %xmm3
        andl      $32752, %eax
        subl      $18416, %eax
        sarl      $4, %eax
        cvtsi2sd  %eax, %xmm7
        mulpd     %xmm0, %xmm5
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_5.0.2:
        cmpl      $0, %eax
        jl        .L_2TAG_PACKET_11.0.2
        cmpl      $736, %eax
        jae       .L_2TAG_PACKET_12.0.2
        addsd     %xmm7, %xmm0
        movq      HALFMASK(%rip), %xmm2
        addpd     %xmm0, %xmm3
        xorpd     %xmm6, %xmm6
        movl      $17080, %eax
        pinsrw    $3, %eax, %xmm6
        pshufd    $238, %xmm3, %xmm0
        addsd     %xmm3, %xmm0
        movq      %xmm5, %xmm3
        addsd     %xmm0, %xmm5
        movq      %xmm2, %xmm4
        subsd     %xmm5, %xmm3
        movq      %xmm5, %xmm7
        andpd     %xmm2, %xmm5
        movq      %xmm1, %xmm2
        andpd     %xmm1, %xmm4
        subsd     %xmm5, %xmm7
        addsd     %xmm3, %xmm0
        subsd     %xmm4, %xmm1
        mulsd     %xmm5, %xmm4
        addsd     %xmm7, %xmm0
        mulsd     %xmm0, %xmm2
        movq      %xmm6, %xmm7
        mulsd     %xmm5, %xmm1
        addsd     %xmm4, %xmm6
        movd      %xmm6, %eax
        subsd     %xmm7, %xmm6
        lea       T_exp(%rip), %r11
        addsd     %xmm1, %xmm2
        movapd    e_coeff(%rip), %xmm7
        movapd    16+e_coeff(%rip), %xmm3
        subsd     %xmm6, %xmm4
        pextrw    $3, %xmm6, %edx
        movl      %eax, %ecx
        andl      $255, %eax
        addl      %eax, %eax
        movapd    (%r11,%rax,8), %xmm5
        addsd     %xmm4, %xmm2
        sarl      $8, %ecx
        movl      %ecx, %eax
        sarl      $1, %ecx
        subl      %ecx, %eax
        shll      $20, %ecx
        xorl      %r8d, %ecx
        movd      %ecx, %xmm6
        movq      32+e_coeff(%rip), %xmm1
        andl      $32767, %edx
        cmpl      $16529, %edx
        ja        .L_2TAG_PACKET_12.0.2
        pshufd    $68, %xmm2, %xmm0
        pshufd    $68, %xmm2, %xmm4
        mulpd     %xmm0, %xmm0
        mulpd     %xmm4, %xmm7
        pshufd    $17, %xmm6, %xmm6
        mulsd     %xmm2, %xmm1
        mulsd     %xmm0, %xmm0
        paddd     %xmm6, %xmm5
        addpd     %xmm7, %xmm3
        mulsd     %xmm5, %xmm1
        pshufd    $238, %xmm5, %xmm6
        mulpd     %xmm3, %xmm0
        addsd     %xmm6, %xmm1
        pshufd    $238, %xmm0, %xmm3
        mulsd     %xmm5, %xmm0
        mulsd     %xmm5, %xmm3
        shll      $4, %eax
        xorpd     %xmm4, %xmm4
        addl      $16368, %eax
        pinsrw    $3, %eax, %xmm4
        addsd     %xmm1, %xmm0
        addsd     %xmm3, %xmm0
        movq      %xmm0, %xmm1
        addsd     %xmm5, %xmm0
        mulsd     %xmm4, %xmm0
        pextrw    $3, %xmm0, %eax
        andl      $32752, %eax
        je        .L_2TAG_PACKET_13.0.2
        cmpl      $32752, %eax
        je        .L_2TAG_PACKET_14.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_6.0.2:
        movq      16(%rsp), %xmm1
        movq      8(%rsp), %xmm0
        movq      %xmm0, %xmm2
        movd      %xmm2, %eax
        psrlq     $20, %xmm2
        movd      %xmm2, %edx
        orl       %edx, %eax
        je        .L_2TAG_PACKET_15.0.2
        movd      %xmm1, %eax
        psrlq     $32, %xmm1
        movd      %xmm1, %edx
        movl      %edx, %ecx
        addl      %edx, %edx
        orl       %edx, %eax
        je        .L_2TAG_PACKET_16.0.2
        addsd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_16.0.2:
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm0
        movl      $29, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_18.0.2:
        movq      16(%rsp), %xmm0
        addpd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_15.0.2:
        movd      %xmm1, %eax
        movq      %xmm1, %xmm2
        psrlq     $32, %xmm1
        movd      %xmm1, %edx
        movl      %edx, %ecx
        addl      %edx, %edx
        orl       %edx, %eax
        je        .L_2TAG_PACKET_19.0.2
        pextrw    $3, %xmm2, %eax
        andl      $32752, %eax
        cmpl      $32752, %eax
        jne       .L_2TAG_PACKET_20.0.2
        movd      %xmm2, %eax
        psrlq     $20, %xmm2
        movd      %xmm2, %edx
        orl       %edx, %eax
        jne       .L_2TAG_PACKET_18.0.2
.L_2TAG_PACKET_20.0.2:
        pextrw    $3, %xmm0, %eax
        testl     $32768, %eax
        jne       .L_2TAG_PACKET_21.0.2
        testl     $-2147483648, %ecx
        jne       .L_2TAG_PACKET_22.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_23.0.2:
        movq      16(%rsp), %xmm1
        movd      %xmm1, %eax
        testl     $1, %eax
        jne       .L_2TAG_PACKET_24.0.2
        testl     $2, %eax
        jne       .L_2TAG_PACKET_25.0.2
        jmp       .L_2TAG_PACKET_24.0.2
.L_2TAG_PACKET_21.0.2:
        shrl      $20, %ecx
        andl      $2047, %ecx
        cmpl      $1075, %ecx
        ja        .L_2TAG_PACKET_24.0.2
        je        .L_2TAG_PACKET_26.0.2
        cmpl      $1074, %ecx
        ja        .L_2TAG_PACKET_23.0.2
        cmpl      $1023, %ecx
        jb        .L_2TAG_PACKET_24.0.2
        movq      16(%rsp), %xmm1
        movl      $17208, %eax
        xorpd     %xmm3, %xmm3
        pinsrw    $3, %eax, %xmm3
        movq      %xmm3, %xmm4
        addsd     %xmm1, %xmm3
        subsd     %xmm3, %xmm4
        addsd     %xmm4, %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        jne       .L_2TAG_PACKET_24.0.2
        movd      %xmm3, %eax
        andl      $1, %eax
        je        .L_2TAG_PACKET_24.0.2
.L_2TAG_PACKET_25.0.2:
        movq      16(%rsp), %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32768, %eax
        jne       .L_2TAG_PACKET_27.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_27.0.2:
        xorpd     %xmm0, %xmm0
        movl      $32768, %eax
        pinsrw    $3, %eax, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_24.0.2:
        movq      16(%rsp), %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32768, %eax
        jne       .L_2TAG_PACKET_22.0.2
        xorpd     %xmm0, %xmm0
        movl      $32752, %eax
        pinsrw    $3, %eax, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_26.0.2:
        movq      16(%rsp), %xmm1
        movd      %xmm1, %eax
        andl      $1, %eax
        je        .L_2TAG_PACKET_24.0.2
        jmp       .L_2TAG_PACKET_25.0.2
.L_2TAG_PACKET_28.0.2:
        movd      %xmm1, %eax
        psrlq     $20, %xmm1
        movd      %xmm1, %edx
        orl       %edx, %eax
        je        .L_2TAG_PACKET_29.0.2
        movq      16(%rsp), %xmm0
        addsd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_29.0.2:
        movq      8(%rsp), %xmm0
        pextrw    $3, %xmm0, %eax
        cmpl      $49136, %eax
        jne       .L_2TAG_PACKET_30.0.2
        movd      %xmm0, %ecx
        psrlq     $20, %xmm0
        movd      %xmm0, %edx
        orl       %edx, %ecx
        jne       .L_2TAG_PACKET_30.0.2
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_30.0.2:
        movq      16(%rsp), %xmm1
        andl      $32752, %eax
        subl      $16368, %eax
        pextrw    $3, %xmm1, %edx
        xorpd     %xmm0, %xmm0
        xorl      %edx, %eax
        andl      $32768, %eax
        je        .L_2TAG_PACKET_31.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_31.0.2:
        movl      $32752, %ecx
        pinsrw    $3, %ecx, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_32.0.2:
        movd      %xmm1, %eax
        cmpl      $17184, %edx
        ja        .L_2TAG_PACKET_33.0.2
        testl     $1, %eax
        jne       .L_2TAG_PACKET_34.0.2
        testl     $2, %eax
        je        .L_2TAG_PACKET_35.0.2
        jmp       .L_2TAG_PACKET_36.0.2
.L_2TAG_PACKET_33.0.2:
        testl     $1, %eax
        je        .L_2TAG_PACKET_35.0.2
        jmp       .L_2TAG_PACKET_36.0.2
.L_2TAG_PACKET_7.0.2:
        movq      8(%rsp), %xmm2
        movd      %xmm2, %eax
        psrlq     $31, %xmm2
        movd      %xmm2, %ecx
        orl       %ecx, %eax
        je        .L_2TAG_PACKET_9.0.2
        movq      16(%rsp), %xmm1
        pextrw    $3, %xmm1, %edx
        movd      %xmm1, %eax
        movq      %xmm1, %xmm2
        psrlq     $32, %xmm2
        movd      %xmm2, %ecx
        addl      %ecx, %ecx
        orl       %eax, %ecx
        je        .L_2TAG_PACKET_37.0.2
        andl      $32752, %edx
        cmpl      $32752, %edx
        je        .L_2TAG_PACKET_28.0.2
        cmpl      $17200, %edx
        ja        .L_2TAG_PACKET_35.0.2
        cmpl      $17184, %edx
        jae       .L_2TAG_PACKET_32.0.2
        cmpl      $16368, %edx
        jb        .L_2TAG_PACKET_34.0.2
        movl      $17208, %eax
        xorpd     %xmm2, %xmm2
        pinsrw    $3, %eax, %xmm2
        movq      %xmm2, %xmm4
        addsd     %xmm1, %xmm2
        subsd     %xmm2, %xmm4
        addsd     %xmm4, %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32767, %eax
        jne       .L_2TAG_PACKET_34.0.2
        movd      %xmm2, %eax
        andl      $1, %eax
        je        .L_2TAG_PACKET_35.0.2
.L_2TAG_PACKET_36.0.2:
        xorpd     %xmm1, %xmm1
        movl      $30704, %edx
        pinsrw    $3, %edx, %xmm1
        movq      LOG2_E(%rip), %xmm2
        movq      8(%rsp), %xmm4
        pextrw    $3, %xmm4, %eax
        movl      $8192, %edx
        movd      %edx, %xmm4
        andl      $32767, %eax
        subl      $16, %eax
        jl        .L_2TAG_PACKET_10.0.2
        movl      %eax, %edx
        andl      $32752, %edx
        subl      $16368, %edx
        movl      %edx, %ecx
        sarl      $31, %edx
        addl      %edx, %ecx
        xorl      %edx, %ecx
        addl      $16, %ecx
        bsr       %ecx, %ecx
        movl      $-2147483648, %r8d
        jmp       .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_34.0.2:
        xorpd     %xmm1, %xmm1
        movl      $32752, %eax
        pinsrw    $3, %eax, %xmm1
        xorpd     %xmm0, %xmm0
        mulsd     %xmm1, %xmm0
        movl      $28, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_35.0.2:
        xorpd     %xmm1, %xmm1
        movl      $30704, %edx
        pinsrw    $3, %edx, %xmm1
        movq      LOG2_E(%rip), %xmm2
        movq      8(%rsp), %xmm4
        pextrw    $3, %xmm4, %eax
        movl      $8192, %edx
        movd      %edx, %xmm4
        andl      $32767, %eax
        subl      $16, %eax
        jl        .L_2TAG_PACKET_8.0.2
        movl      %eax, %edx
        andl      $32752, %edx
        subl      $16368, %edx
        movl      %edx, %ecx
        sarl      $31, %edx
        addl      %edx, %ecx
        xorl      %edx, %ecx
        addl      $16, %ecx
        bsr       %ecx, %ecx
        movl      $0, %r8d
        jmp       .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_19.0.2:
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_22.0.2:
        xorpd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_11.0.2:
        addl      $384, %eax
        cmpl      $0, %eax
        jl        .L_2TAG_PACKET_38.0.2
        mulsd     %xmm1, %xmm5
        addsd     %xmm7, %xmm0
        shrl      $31, %r8d
        addpd     %xmm0, %xmm3
        pshufd    $238, %xmm3, %xmm0
        addsd     %xmm0, %xmm3
        lea       log2(%rip), %r11
        movq      (%r11,%r8,8), %xmm4
        mulsd     %xmm3, %xmm1
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        shll      $15, %r8d
        orl       %r8d, %eax
        pinsrw    $3, %eax, %xmm0
        addsd     %xmm1, %xmm5
        mulsd     %xmm4, %xmm5
        addsd     %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_38.0.2:
.L_2TAG_PACKET_37.0.2:
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_39.0.2:
        xorpd     %xmm0, %xmm0
        movl      $16368, %eax
        pinsrw    $3, %eax, %xmm0
        movl      $26, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_9.0.2:
        movq      16(%rsp), %xmm1
        movq      %xmm1, %xmm2
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        cmpl      $32752, %eax
        jne       .L_2TAG_PACKET_40.0.2
        movd      %xmm2, %eax
        psrlq     $20, %xmm2
        movd      %xmm2, %edx
        orl       %edx, %eax
        jne       .L_2TAG_PACKET_18.0.2
.L_2TAG_PACKET_40.0.2:
        movd      %xmm1, %eax
        psrlq     $32, %xmm1
        movd      %xmm1, %edx
        movl      %edx, %ecx
        addl      %edx, %edx
        orl       %edx, %eax
        je        .L_2TAG_PACKET_39.0.2
        shrl      $21, %edx
        cmpl      $1075, %edx
        ja        .L_2TAG_PACKET_41.0.2
        je        .L_2TAG_PACKET_42.0.2
        cmpl      $1023, %edx
        jb        .L_2TAG_PACKET_41.0.2
        movq      16(%rsp), %xmm1
        movl      $17208, %eax
        xorpd     %xmm3, %xmm3
        pinsrw    $3, %eax, %xmm3
        movq      %xmm3, %xmm4
        addsd     %xmm1, %xmm3
        subsd     %xmm3, %xmm4
        addsd     %xmm4, %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        jne       .L_2TAG_PACKET_41.0.2
        movd      %xmm3, %eax
        andl      $1, %eax
        je        .L_2TAG_PACKET_41.0.2
.L_2TAG_PACKET_43.0.2:
        movq      8(%rsp), %xmm0
        testl     $-2147483648, %ecx
        jne       .L_2TAG_PACKET_44.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_42.0.2:
        movq      16(%rsp), %xmm1
        movd      %xmm1, %eax
        testl     $1, %eax
        jne       .L_2TAG_PACKET_43.0.2
.L_2TAG_PACKET_41.0.2:
        testl     $-2147483648, %ecx
        je        .L_2TAG_PACKET_22.0.2
        xorpd     %xmm0, %xmm0
.L_2TAG_PACKET_44.0.2:
        movl      $16368, %eax
        xorpd     %xmm1, %xmm1
        pinsrw    $3, %eax, %xmm1
        divsd     %xmm0, %xmm1
        movq      %xmm1, %xmm0
        movl      $27, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_12.0.2:
        movq      8(%rsp), %xmm2
        movq      16(%rsp), %xmm6
        pextrw    $3, %xmm2, %eax
        pextrw    $3, %xmm6, %edx
        movl      $32752, %ecx
        andl      %edx, %ecx
        cmpl      $32752, %ecx
        je        .L_2TAG_PACKET_45.0.2
        andl      $32752, %eax
        subl      $16368, %eax
        xorl      %eax, %edx
        testl     $32768, %edx
        jne       .L_2TAG_PACKET_46.0.2
.L_2TAG_PACKET_47.0.2:
        movl      $32736, %eax
        pinsrw    $3, %eax, %xmm0
        shrl      $16, %r8d
        orl       %r8d, %eax
        pinsrw    $3, %eax, %xmm1
        mulsd     %xmm1, %xmm0
.L_2TAG_PACKET_14.0.2:
        movl      $24, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_46.0.2:
        movl      $16, %eax
        pinsrw    $3, %eax, %xmm0
        mulsd     %xmm0, %xmm0
        testl     $-2147483648, %r8d
        je        .L_2TAG_PACKET_48.0.2
        movq      $0x8000000000000000, %r9
        movd      %r9, %xmm2
        xorpd     %xmm2, %xmm0
.L_2TAG_PACKET_48.0.2:
        movl      $25, (%rsp)
        jmp       .L_2TAG_PACKET_17.0.2
.L_2TAG_PACKET_13.0.2:
        pextrw    $3, %xmm5, %ecx
        pextrw    $3, %xmm4, %edx
        movl      $-1, %eax
        andl      $32752, %ecx
        subl      $16368, %ecx
        andl      $32752, %edx
        addl      %ecx, %edx
        movl      $-31, %ecx
        sarl      $4, %edx
        subl      %edx, %ecx
        jle       .L_2TAG_PACKET_49.0.2
        cmpl      $20, %ecx
        ja        .L_2TAG_PACKET_50.0.2
        shll      %cl, %eax
.L_2TAG_PACKET_49.0.2:
        movd      %eax, %xmm0
        psllq     $32, %xmm0
        andpd     %xmm5, %xmm0
        subsd     %xmm0, %xmm5
        addsd     %xmm1, %xmm5
        mulsd     %xmm4, %xmm0
        mulsd     %xmm4, %xmm5
        addsd     %xmm5, %xmm0
.L_2TAG_PACKET_50.0.2:
        jmp       .L_2TAG_PACKET_48.0.2
.L_2TAG_PACKET_2.0.2:
        movw      22(%rsp), %cx
        movl      $-2147483648, %edx
        movd      %rdx, %xmm1
        xorpd     %xmm7, %xmm7
        paddd     %xmm4, %xmm0
        movd      %xmm0, %edx
        psllq     $29, %xmm0
        paddq     %xmm3, %xmm1
        andpd     %xmm1, %xmm5
        andw      $32752, %cx
        cmpw      $16560, %cx
        jb        .L_2TAG_PACKET_3.0.2
        andpd     %xmm6, %xmm0
        subsd     %xmm5, %xmm3
        addl      $16351, %eax
        shrl      $4, %eax
        subl      $1022, %eax
        cvtsi2sd  %eax, %xmm7
        mulpd     %xmm0, %xmm5
        lea       L_tbl(%rip), %r11
        movq      coeff_h(%rip), %xmm4
        mulsd     %xmm0, %xmm3
        movq      coeff_h(%rip), %xmm6
        subsd     %xmm2, %xmm5
        movq      8+coeff_h(%rip), %xmm1
        pshufd    $68, %xmm3, %xmm2
        unpcklpd  %xmm3, %xmm5
        addsd     %xmm5, %xmm3
        movq      8+coeff_h(%rip), %xmm0
        andl      $16760832, %edx
        shrl      $10, %edx
        addpd     -3648(%r11,%rdx), %xmm7
        mulsd     %xmm5, %xmm4
        mulsd     %xmm5, %xmm0
        mulsd     %xmm2, %xmm6
        mulsd     %xmm2, %xmm1
        movq      %xmm5, %xmm2
        mulsd     %xmm5, %xmm4
        addsd     %xmm0, %xmm5
        movq      %xmm7, %xmm0
        addsd     %xmm3, %xmm2
        addsd     %xmm5, %xmm7
        mulsd     %xmm2, %xmm6
        subsd     %xmm7, %xmm0
        movq      %xmm7, %xmm2
        addsd     %xmm4, %xmm7
        addsd     %xmm5, %xmm0
        subsd     %xmm7, %xmm2
        addsd     %xmm2, %xmm4
        pshufd    $238, %xmm5, %xmm2
        movq      %xmm7, %xmm5
        addsd     %xmm2, %xmm7
        addsd     %xmm0, %xmm4
        movapd    coeff(%rip), %xmm0
        subsd     %xmm7, %xmm5
        addsd     %xmm4, %xmm6
        movq      %xmm7, %xmm4
        addsd     %xmm2, %xmm5
        addsd     %xmm1, %xmm7
        movapd    64+coeff(%rip), %xmm2
        subsd     %xmm7, %xmm4
        addsd     %xmm5, %xmm6
        addsd     %xmm1, %xmm4
        pshufd    $238, %xmm7, %xmm5
        movapd    %xmm7, %xmm1
        addsd     %xmm5, %xmm7
        subsd     %xmm7, %xmm1
        addsd     %xmm5, %xmm1
        movapd    80+coeff(%rip), %xmm5
        pshufd    $68, %xmm3, %xmm3
        addsd     %xmm4, %xmm6
        addsd     %xmm1, %xmm6
        movapd    32+coeff(%rip), %xmm1
        mulpd     %xmm3, %xmm0
        mulpd     %xmm3, %xmm2
        pshufd    $68, %xmm3, %xmm4
        mulpd     %xmm3, %xmm3
        addpd     %xmm1, %xmm0
        addpd     %xmm2, %xmm5
        mulsd     %xmm3, %xmm4
        movq      HIGHMASK_LOG_X(%rip), %xmm2
        mulpd     %xmm3, %xmm3
        movq      16(%rsp), %xmm1
        movw      22(%rsp), %cx
        mulpd     %xmm4, %xmm0
        pextrw    $3, %xmm7, %eax
        mulpd     %xmm4, %xmm5
        mulpd     %xmm3, %xmm0
        movq      8+HIGHMASK_Y(%rip), %xmm4
        andpd     %xmm7, %xmm2
        addsd     %xmm6, %xmm5
        subsd     %xmm2, %xmm7
        addpd     %xmm0, %xmm5
        andl      $32752, %eax
        subl      $16368, %eax
        andl      $32752, %ecx
        cmpl      $32752, %ecx
        je        .L_2TAG_PACKET_45.0.2
        addl      %eax, %ecx
        cmpl      $16576, %ecx
        jae       .L_2TAG_PACKET_51.0.2
        pshufd    $238, %xmm5, %xmm0
        andpd     %xmm1, %xmm4
        movq      %xmm1, %xmm3
        addsd     %xmm0, %xmm5
        subsd     %xmm4, %xmm1
        xorpd     %xmm6, %xmm6
        movl      $17080, %edx
        pinsrw    $3, %edx, %xmm6
        addsd     %xmm5, %xmm7
        mulsd     %xmm2, %xmm4
        mulsd     %xmm2, %xmm1
        movq      %xmm6, %xmm5
        mulsd     %xmm7, %xmm3
        addsd     %xmm4, %xmm6
        addsd     %xmm3, %xmm1
        movapd    e_coeff(%rip), %xmm7
        movd      %xmm6, %edx
        subsd     %xmm5, %xmm6
        lea       T_exp(%rip), %r11
        movapd    16+e_coeff(%rip), %xmm3
        movq      32+e_coeff(%rip), %xmm2
        subsd     %xmm6, %xmm4
        movl      %edx, %ecx
        andl      $255, %edx
        addl      %edx, %edx
        movapd    (%r11,%rdx,8), %xmm5
        addsd     %xmm1, %xmm4
        pextrw    $3, %xmm6, %edx
        shrl      $8, %ecx
        movl      %ecx, %eax
        shrl      $1, %ecx
        subl      %ecx, %eax
        shll      $20, %ecx
        movd      %ecx, %xmm6
        pshufd    $68, %xmm4, %xmm0
        pshufd    $68, %xmm4, %xmm1
        mulpd     %xmm0, %xmm0
        mulpd     %xmm1, %xmm7
        pshufd    $17, %xmm6, %xmm6
        mulsd     %xmm4, %xmm2
        andl      $32767, %edx
        cmpl      $16529, %edx
        ja        .L_2TAG_PACKET_12.0.2
        mulsd     %xmm0, %xmm0
        paddd     %xmm6, %xmm5
        addpd     %xmm7, %xmm3
        mulsd     %xmm5, %xmm2
        pshufd    $238, %xmm5, %xmm6
        mulpd     %xmm3, %xmm0
        addsd     %xmm6, %xmm2
        pshufd    $238, %xmm0, %xmm3
        addl      $1023, %eax
        shll      $20, %eax
        orl       %r8d, %eax
        movd      %eax, %xmm4
        mulsd     %xmm5, %xmm0
        mulsd     %xmm5, %xmm3
        addsd     %xmm2, %xmm0
        psllq     $32, %xmm4
        addsd     %xmm3, %xmm0
        movq      %xmm0, %xmm1
        addsd     %xmm5, %xmm0
        mulsd     %xmm4, %xmm0
        pextrw    $3, %xmm0, %eax
        andl      $32752, %eax
        je        .L_2TAG_PACKET_13.0.2
        cmpl      $32752, %eax
        je        .L_2TAG_PACKET_14.0.2
.L_2TAG_PACKET_52.0.2:
        jmp       ..B1.5
.L_2TAG_PACKET_45.0.2:
        movq      8(%rsp), %xmm0
        xorpd     %xmm2, %xmm2
        movl      $49136, %eax
        pinsrw    $3, %eax, %xmm2
        addsd     %xmm0, %xmm2
        pextrw    $3, %xmm2, %eax
        cmpl      $0, %eax
        jne       .L_2TAG_PACKET_53.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_53.0.2:
        movq      16(%rsp), %xmm1
        movd      %xmm1, %edx
        movq      %xmm1, %xmm3
        psrlq     $20, %xmm3
        movd      %xmm3, %ecx
        orl       %edx, %ecx
        je        .L_2TAG_PACKET_54.0.2
        addsd     %xmm1, %xmm1
        movq      %xmm1, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_51.0.2:
        pextrw    $3, %xmm1, %eax
        pextrw    $3, %xmm2, %ecx
        xorl      %ecx, %eax
        testl     $32768, %eax
        je        .L_2TAG_PACKET_47.0.2
        jmp       .L_2TAG_PACKET_46.0.2
.L_2TAG_PACKET_54.0.2:
        pextrw    $3, %xmm0, %eax
        andl      $32752, %eax
        pextrw    $3, %xmm1, %edx
        xorpd     %xmm0, %xmm0
        subl      $16368, %eax
        xorl      %edx, %eax
        testl     $32768, %eax
        je        .L_2TAG_PACKET_55.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_55.0.2:
        movl      $32752, %edx
        pinsrw    $3, %edx, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_17.0.2:
        movq      %xmm0, 24(%rsp)
..B1.3:
        movq      24(%rsp), %xmm0
.L_2TAG_PACKET_56.0.2:
..B1.5:
        addq      $40, %rsp
..___tag_value_pow.4:
        ret       
..___tag_value_pow.5:
END(pow)
# -- End  pow
	.section .rodata, "a"
	.align 16
	.align 16
HIGHSIGMASK:
	.long	0
	.long	4294965248
	.long	0
	.long	4294965248
	.type	HIGHSIGMASK,@object
	.size	HIGHSIGMASK,16
	.align 16
LOG2_E:
	.long	0
	.long	1073160192
	.long	370913857
	.long	3210587105
	.type	LOG2_E,@object
	.size	LOG2_E,16
	.align 16
coeff:
	.long	1841914130
	.long	3213059448
	.long	3995341938
	.long	3214607105
	.long	2677381210
	.long	3216320731
	.long	3011779882
	.long	3218479542
	.long	1367832035
	.long	1066403058
	.long	2894285243
	.long	1067936923
	.long	1215221452
	.long	1069835102
	.long	370913857
	.long	3210587105
	.long	2677381210
	.long	3216320731
	.long	4172642429
	.long	1056068382
	.long	1215221451
	.long	1069835102
	.long	1092638156
	.long	3184925618
	.type	coeff,@object
	.size	coeff,96
	.align 16
L_tbl:
	.long	0
	.long	1072693248
	.long	0
	.long	0
	.long	536870912
	.long	1072689162
	.long	2523013013
	.long	1046157398
	.long	3758096384
	.long	1072685081
	.long	3851513758
	.long	3190968952
	.long	0
	.long	1072681007
	.long	2241466466
	.long	1046044599
	.long	3221225472
	.long	1072676937
	.long	2990928271
	.long	3193084984
	.long	3758096384
	.long	1072672873
	.long	2905112743
	.long	3192918576
	.long	1610612736
	.long	1072668815
	.long	3370591264
	.long	1046051793
	.long	2147483648
	.long	1072664762
	.long	3272361216
	.long	3193793653
	.long	3758096384
	.long	1072660714
	.long	46546755
	.long	1043206936
	.long	3221225472
	.long	1072656672
	.long	3017067724
	.long	3192177962
	.long	0
	.long	1072652636
	.long	3688436631
	.long	3192814956
	.long	2684354560
	.long	1072648604
	.long	1707461992
	.long	3193056712
	.long	2684354560
	.long	1072644578
	.long	1188114540
	.long	3193603086
	.long	3758096384
	.long	1072640557
	.long	3533180564
	.long	1045459375
	.long	2684354560
	.long	1072636542
	.long	2000337630
	.long	3193475557
	.long	2684354560
	.long	1072632532
	.long	3698062443
	.long	3193752766
	.long	3758096384
	.long	1072628527
	.long	3161606138
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	.align 16
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	.long	1950547427
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	.type	T_exp,@object
	.size	T_exp,4096
	.space 512, 0x00 	# pad
	.align 16
e_coeff:
	.long	3884607281
	.long	1062590591
	.long	3607404736
	.long	1068264200
	.long	1874480759
	.long	1065595563
	.long	4286760335
	.long	1070514109
	.long	4277811695
	.long	1072049730
	.long	0
	.long	0
	.type	e_coeff,@object
	.size	e_coeff,48
	.align 16
coeff_h:
	.long	0
	.long	3218479616
	.long	0
	.long	3210587105
	.type	coeff_h,@object
	.size	coeff_h,16
	.align 16
HIGHMASK_LOG_X:
	.long	4160749568
	.long	4294967295
	.long	0
	.long	4294965248
	.type	HIGHMASK_LOG_X,@object
	.size	HIGHMASK_LOG_X,16
	.align 8
HALFMASK:
	.long	4160749568
	.long	4294967295
	.long	4160749568
	.long	4294967295
	.type	HALFMASK,@object
	.size	HALFMASK,16
	.align 8
log2:
	.long	4277811695
	.long	1072049730
	.long	4277811695
	.long	3219533378
	.type	log2,@object
	.size	log2,16
	.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_pow.1-.
	.4byte ..___tag_value_pow.5-..___tag_value_pow.1
	.2byte 0x0400
	.4byte ..___tag_value_pow.3-..___tag_value_pow.1
	.2byte 0x300e
	.byte 0x04
	.4byte ..___tag_value_pow.4-..___tag_value_pow.3
	.2byte 0x080e
	.byte 0x00
# End