|  | /* | 
|  | 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 | 
|  | //                     --------------------- | 
|  | // | 
|  | // tanh(x)=(exp(x)-exp(-x))/(exp(x)+exp(-x))=(1-exp(-2*x))/(1+exp(-2*x)) | 
|  | // | 
|  | // Let |x|=xH+xL (upper 26 bits, lower 27 bits) | 
|  | // log2(e) rounded to 26 bits (high part) plus a double precision low part is | 
|  | //         L2EH+L2EL (upper 26, lower 53 bits) | 
|  | // | 
|  | // Let xH*L2EH=k+f+r`, where (k+f)*2^8*2=int(xH*L2EH*2^9), | 
|  | //                             f=0.b1 b2 ... b8, k integer | 
|  | // 2^{-f} is approximated as Tn[f]+Dn[f] | 
|  | // Tn stores the high 53 bits, Dn stores (2^{-f}-Tn[f]) rounded to double precision | 
|  | // | 
|  | //  r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-9}+2^{-14}, | 
|  | //                      for |x| in [23/64,3*2^7) | 
|  | // e^{-2*|x|}=2^{-k-f}*2^{-r} ~ 2^{-k}*(Tn+Dn)*(1+p)=(T0+D0)*(1+p) | 
|  | // | 
|  | // For |x| in [2^{-4},2^5): | 
|  | //         2^{-r}-1 ~ p=c1*r+c2*r^2+..+c5*r^5 | 
|  | //      Let R=1/(1+T0+p*T0), truncated to 35 significant bits | 
|  | //  R=1/(1+T0+D0+p*(T0+D0))*(1+eps), |eps|<2^{-33} | 
|  | //  1+T0+D0+p*(T0+D0)=KH+KL, where | 
|  | //       KH=(1+T0+c1*r*T0)_high (leading 17 bits) | 
|  | //       KL=T0_low+D0+(c1*r*T0)_low+c1*r*D0+(c2*r^2+..c5*r^5)*T0 | 
|  | //  eps ~ (R*KH-1)+R*KL | 
|  | //  1/(1+T0+D0+p*(T0+D0)) ~ R-R*eps | 
|  | //  The result is approximated as (1-T0-D0-(T0+D0)*p)*(R-R*eps) | 
|  | //  1-T0-D0-(T0+D0)*p=-((KH-2)+KL) | 
|  | //    The result is formed as | 
|  | //    (KH-2)*R+(-(KH-2)*R*eps+(KL*R-KL*R*eps)), with the correct sign | 
|  | //                                                  set at the end | 
|  | // | 
|  | // For |x| in [2^{-64},2^{-4}): | 
|  | //  A Taylor series expansion is used  (x+p3*x^3+..+p13*x^{13}) | 
|  | // | 
|  | // For |x|<2^{-64}:  x is returned | 
|  | // | 
|  | // For |x|>=2^32: return +/-1 | 
|  | // | 
|  | // Special cases: | 
|  | //  tanh(NaN) = quiet NaN, and raise invalid exception | 
|  | //  tanh(INF) = that INF | 
|  | //  tanh(+/-0) = +/-0 | 
|  | // | 
|  | /******************************************************************************/ | 
|  |  | 
|  | #include <private/bionic_asm.h> | 
|  | # -- Begin  static_func | 
|  | .text | 
|  | .align __bionic_asm_align | 
|  | .type static_func, @function | 
|  | static_func: | 
|  | ..B1.1: | 
|  | call      ..L2 | 
|  | ..L2: | 
|  | popl      %eax | 
|  | lea       _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax | 
|  | lea       static_const_table@GOTOFF(%eax), %eax | 
|  | ret | 
|  | .size   static_func,.-static_func | 
|  | # -- End  static_func | 
|  |  | 
|  | # -- Begin  tanh | 
|  | ENTRY(tanh) | 
|  | # parameter 1: 8 + %ebp | 
|  | ..B2.1: | 
|  | ..B2.2: | 
|  | pushl     %ebp | 
|  | movl      %esp, %ebp | 
|  | subl      $104, %esp | 
|  | movl      %ebx, 40(%esp) | 
|  | call      static_func | 
|  | movl      %eax, %ebx | 
|  | movsd     112(%esp), %xmm0 | 
|  | movsd     4256(%ebx), %xmm3 | 
|  | xorpd     %xmm4, %xmm4 | 
|  | movsd     4112(%ebx), %xmm1 | 
|  | movsd     4120(%ebx), %xmm2 | 
|  | movl      $32768, %eax | 
|  | pinsrw    $3, %eax, %xmm4 | 
|  | movsd     4096(%ebx), %xmm6 | 
|  | pextrw    $3, %xmm0, %ecx | 
|  | andpd     %xmm0, %xmm3 | 
|  | andnpd    %xmm0, %xmm4 | 
|  | pshufd    $68, %xmm4, %xmm5 | 
|  | movl      $32768, %edx | 
|  | andl      %ecx, %edx | 
|  | andl      $32767, %ecx | 
|  | subl      $16304, %ecx | 
|  | cmpl      $144, %ecx | 
|  | jae       .L_2TAG_PACKET_0.0.2 | 
|  | subsd     %xmm3, %xmm4 | 
|  | mulsd     %xmm1, %xmm3 | 
|  | mulsd     %xmm5, %xmm2 | 
|  | cvtsd2si  %xmm3, %eax | 
|  | movapd    %xmm3, %xmm7 | 
|  | addsd     %xmm6, %xmm3 | 
|  | mulsd     %xmm4, %xmm1 | 
|  | movsd     4264(%ebx), %xmm4 | 
|  | subsd     %xmm6, %xmm3 | 
|  | xorpd     %xmm0, %xmm0 | 
|  | addsd     %xmm1, %xmm2 | 
|  | subsd     %xmm3, %xmm7 | 
|  | movapd    4128(%ebx), %xmm6 | 
|  | addsd     %xmm7, %xmm2 | 
|  | movl      $255, %ecx | 
|  | andl      %eax, %ecx | 
|  | addl      %ecx, %ecx | 
|  | movapd    (%ebx,%ecx,8), %xmm5 | 
|  | shrl      $4, %eax | 
|  | andl      $65520, %eax | 
|  | subl      $16368, %eax | 
|  | negl      %eax | 
|  | pinsrw    $3, %eax, %xmm0 | 
|  | movapd    4144(%ebx), %xmm1 | 
|  | pshufd    $68, %xmm0, %xmm0 | 
|  | mulpd     %xmm5, %xmm0 | 
|  | movsd     4160(%ebx), %xmm7 | 
|  | pshufd    $68, %xmm2, %xmm2 | 
|  | movapd    %xmm4, %xmm5 | 
|  | addsd     %xmm0, %xmm4 | 
|  | mulpd     %xmm2, %xmm6 | 
|  | mulsd     %xmm2, %xmm7 | 
|  | mulpd     %xmm2, %xmm2 | 
|  | addpd     %xmm6, %xmm1 | 
|  | mulsd     %xmm2, %xmm2 | 
|  | movsd     4264(%ebx), %xmm3 | 
|  | mulpd     %xmm2, %xmm1 | 
|  | pshufd    $78, %xmm1, %xmm6 | 
|  | addsd     %xmm6, %xmm1 | 
|  | movapd    %xmm1, %xmm6 | 
|  | addsd     %xmm7, %xmm1 | 
|  | mulsd     %xmm0, %xmm1 | 
|  | addsd     %xmm4, %xmm1 | 
|  | andpd     4224(%ebx), %xmm4 | 
|  | divsd     %xmm1, %xmm5 | 
|  | subsd     %xmm4, %xmm3 | 
|  | pshufd    $238, %xmm0, %xmm1 | 
|  | addsd     %xmm0, %xmm3 | 
|  | movapd    %xmm4, %xmm2 | 
|  | addsd     %xmm1, %xmm3 | 
|  | mulsd     %xmm7, %xmm1 | 
|  | mulsd     %xmm0, %xmm7 | 
|  | addsd     %xmm1, %xmm3 | 
|  | addsd     %xmm7, %xmm4 | 
|  | movsd     4240(%ebx), %xmm1 | 
|  | mulsd     %xmm0, %xmm6 | 
|  | andpd     4224(%ebx), %xmm4 | 
|  | addsd     %xmm6, %xmm3 | 
|  | movapd    %xmm4, %xmm6 | 
|  | subsd     %xmm4, %xmm2 | 
|  | addsd     %xmm7, %xmm2 | 
|  | movsd     4264(%ebx), %xmm7 | 
|  | andpd     %xmm1, %xmm5 | 
|  | addsd     %xmm2, %xmm3 | 
|  | mulsd     %xmm5, %xmm4 | 
|  | xorpd     %xmm2, %xmm2 | 
|  | mulsd     %xmm5, %xmm3 | 
|  | subsd     4272(%ebx), %xmm6 | 
|  | subsd     %xmm7, %xmm4 | 
|  | xorl      $32768, %edx | 
|  | pinsrw    $3, %edx, %xmm2 | 
|  | addsd     %xmm3, %xmm4 | 
|  | mulsd     %xmm5, %xmm6 | 
|  | movapd    %xmm3, %xmm1 | 
|  | mulsd     %xmm4, %xmm3 | 
|  | movapd    %xmm6, %xmm0 | 
|  | mulsd     %xmm4, %xmm6 | 
|  | subsd     %xmm3, %xmm1 | 
|  | subsd     %xmm6, %xmm1 | 
|  | addsd     %xmm1, %xmm0 | 
|  | xorpd     %xmm2, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_0.0.2: | 
|  | addl      $960, %ecx | 
|  | cmpl      $1104, %ecx | 
|  | jae       .L_2TAG_PACKET_2.0.2 | 
|  | movapd    4176(%ebx), %xmm2 | 
|  | pshufd    $68, %xmm0, %xmm1 | 
|  | movapd    4192(%ebx), %xmm3 | 
|  | mulpd     %xmm1, %xmm1 | 
|  | movapd    4208(%ebx), %xmm4 | 
|  | mulpd     %xmm1, %xmm2 | 
|  | pshufd    $68, %xmm1, %xmm5 | 
|  | addpd     %xmm3, %xmm2 | 
|  | mulsd     %xmm5, %xmm5 | 
|  | mulpd     %xmm1, %xmm2 | 
|  | mulsd     %xmm5, %xmm5 | 
|  | addpd     %xmm4, %xmm2 | 
|  | mulpd     %xmm5, %xmm2 | 
|  | pshufd    $238, %xmm2, %xmm5 | 
|  | addsd     %xmm5, %xmm2 | 
|  | mulsd     %xmm0, %xmm2 | 
|  | addsd     %xmm2, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_2.0.2: | 
|  | addl      $15344, %ecx | 
|  | cmpl      $16448, %ecx | 
|  | jae       .L_2TAG_PACKET_3.0.2 | 
|  | cmpl      $16, %ecx | 
|  | jb        .L_2TAG_PACKET_4.0.2 | 
|  | xorpd     %xmm2, %xmm2 | 
|  | movl      $17392, %eax | 
|  | pinsrw    $3, %eax, %xmm2 | 
|  | mulsd     %xmm0, %xmm2 | 
|  | addsd     %xmm0, %xmm2 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_4.0.2: | 
|  | movapd    %xmm0, %xmm2 | 
|  | mulsd     %xmm2, %xmm2 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_3.0.2: | 
|  | cmpl      $32752, %ecx | 
|  | jae       .L_2TAG_PACKET_5.0.2 | 
|  | xorpd     %xmm2, %xmm2 | 
|  | movl      $15344, %ecx | 
|  | pinsrw    $3, %ecx, %xmm2 | 
|  | movapd    %xmm2, %xmm3 | 
|  | mulsd     %xmm2, %xmm2 | 
|  | addsd     %xmm3, %xmm2 | 
|  | .L_2TAG_PACKET_6.0.2: | 
|  | xorpd     %xmm0, %xmm0 | 
|  | orl       $16368, %edx | 
|  | pinsrw    $3, %edx, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_5.0.2: | 
|  | movapd    %xmm0, %xmm2 | 
|  | movd      %xmm0, %eax | 
|  | psrlq     $20, %xmm2 | 
|  | movd      %xmm2, %ecx | 
|  | orl       %eax, %ecx | 
|  | cmpl      $0, %ecx | 
|  | je        .L_2TAG_PACKET_6.0.2 | 
|  | addsd     %xmm0, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_1.0.2: | 
|  | movsd     %xmm0, 24(%esp) | 
|  | fldl      24(%esp) | 
|  | .L_2TAG_PACKET_7.0.2: | 
|  | movl      40(%esp), %ebx | 
|  | movl      %ebp, %esp | 
|  | popl      %ebp | 
|  | ret | 
|  | ..B2.3: | 
|  | END(tanh) | 
|  | # -- End  tanh | 
|  |  | 
|  | # Start file scope ASM | 
|  | ALIAS_SYMBOL(tanhl, tanh); | 
|  | # End file scope ASM | 
|  | .section .rodata, "a" | 
|  | .align 16 | 
|  | .align 16 | 
|  | static_const_table: | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1797923801 | 
|  | .long	1072687577 | 
|  | .long	1950547427 | 
|  | .long	1013229059 | 
|  | .long	730821105 | 
|  | .long	1072681922 | 
|  | .long	2523232743 | 
|  | .long	1012067188 | 
|  | .long	915592468 | 
|  | .long	1072676282 | 
|  | .long	352947894 | 
|  | .long	3161024371 | 
|  | .long	2174652632 | 
|  | .long	1072670657 | 
|  | .long	4087714590 | 
|  | .long	1014450259 | 
|  | .long	35929225 | 
|  | .long	1072665048 | 
|  | .long	2809788041 | 
|  | .long	3159436968 | 
|  | .long	2912730644 | 
|  | .long	1072659453 | 
|  | .long	3490067722 | 
|  | .long	3163405074 | 
|  | .long	2038973688 | 
|  | .long	1072653874 | 
|  | .long	892941374 | 
|  | .long	1016046459 | 
|  | .long	1533953344 | 
|  | .long	1072648310 | 
|  | .long	769171851 | 
|  | .long	1015665633 | 
|  | .long	1222472308 | 
|  | .long	1072642761 | 
|  | .long	1054357470 | 
|  | .long	3161021018 | 
|  | .long	929806999 | 
|  | .long	1072637227 | 
|  | .long	3205336643 | 
|  | .long	1015259557 | 
|  | .long	481706282 | 
|  | .long	1072631708 | 
|  | .long	1696079173 | 
|  | .long	3162710528 | 
|  | .long	3999357479 | 
|  | .long	1072626203 | 
|  | .long	2258941616 | 
|  | .long	1015924724 | 
|  | .long	2719515920 | 
|  | .long	1072620714 | 
|  | .long	2760332941 | 
|  | .long	1015137933 | 
|  | .long	764307441 | 
|  | .long	1072615240 | 
|  | .long	3021057420 | 
|  | .long	3163329523 | 
|  | .long	2256325230 | 
|  | .long	1072609780 | 
|  | .long	580117746 | 
|  | .long	1015317295 | 
|  | .long	2728693978 | 
|  | .long	1072604335 | 
|  | .long	396109971 | 
|  | .long	3163462691 | 
|  | .long	2009970496 | 
|  | .long	1072598905 | 
|  | .long	2159039665 | 
|  | .long	3162572948 | 
|  | .long	4224142467 | 
|  | .long	1072593489 | 
|  | .long	3389820386 | 
|  | .long	1015207202 | 
|  | .long	610758006 | 
|  | .long	1072588089 | 
|  | .long	1965209397 | 
|  | .long	3161866232 | 
|  | .long	3884662774 | 
|  | .long	1072582702 | 
|  | .long	2158611599 | 
|  | .long	1014210185 | 
|  | .long	991358482 | 
|  | .long	1072577331 | 
|  | .long	838715019 | 
|  | .long	3163157668 | 
|  | .long	351641897 | 
|  | .long	1072571974 | 
|  | .long	2172261526 | 
|  | .long	3163010599 | 
|  | .long	1796832535 | 
|  | .long	1072566631 | 
|  | .long	3176955716 | 
|  | .long	3160585513 | 
|  | .long	863738719 | 
|  | .long	1072561303 | 
|  | .long	1326992220 | 
|  | .long	3162613197 | 
|  | .long	1679558232 | 
|  | .long	1072555989 | 
|  | .long	2390342287 | 
|  | .long	3163333970 | 
|  | .long	4076975200 | 
|  | .long	1072550689 | 
|  | .long	2029000899 | 
|  | .long	1015208535 | 
|  | .long	3594158869 | 
|  | .long	1072545404 | 
|  | .long	2456521700 | 
|  | .long	3163256561 | 
|  | .long	64696965 | 
|  | .long	1072540134 | 
|  | .long	1768797490 | 
|  | .long	1015816960 | 
|  | .long	1912561781 | 
|  | .long	1072534877 | 
|  | .long	3147495102 | 
|  | .long	1015678253 | 
|  | .long	382305176 | 
|  | .long	1072529635 | 
|  | .long	2347622376 | 
|  | .long	3162578625 | 
|  | .long	3898795731 | 
|  | .long	1072524406 | 
|  | .long	1249994144 | 
|  | .long	1011869818 | 
|  | .long	3707479175 | 
|  | .long	1072519192 | 
|  | .long	3613079303 | 
|  | .long	1014164738 | 
|  | .long	3939148246 | 
|  | .long	1072513992 | 
|  | .long	3210352148 | 
|  | .long	1015274323 | 
|  | .long	135105010 | 
|  | .long	1072508807 | 
|  | .long	1906148728 | 
|  | .long	3163375739 | 
|  | .long	721996136 | 
|  | .long	1072503635 | 
|  | .long	563754734 | 
|  | .long	1015371318 | 
|  | .long	1242007932 | 
|  | .long	1072498477 | 
|  | .long	1132034716 | 
|  | .long	3163339831 | 
|  | .long	1532734324 | 
|  | .long	1072493333 | 
|  | .long	3094216535 | 
|  | .long	3163162857 | 
|  | .long	1432208378 | 
|  | .long	1072488203 | 
|  | .long	1401068914 | 
|  | .long	3162363963 | 
|  | .long	778901109 | 
|  | .long	1072483087 | 
|  | .long	2248183955 | 
|  | .long	3161268751 | 
|  | .long	3706687593 | 
|  | .long	1072477984 | 
|  | .long	3521726940 | 
|  | .long	1013253067 | 
|  | .long	1464976603 | 
|  | .long	1072472896 | 
|  | .long	3507292405 | 
|  | .long	3161977534 | 
|  | .long	2483480501 | 
|  | .long	1072467821 | 
|  | .long	1216371780 | 
|  | .long	1013034172 | 
|  | .long	2307442995 | 
|  | .long	1072462760 | 
|  | .long	3190117721 | 
|  | .long	3162404539 | 
|  | .long	777507147 | 
|  | .long	1072457713 | 
|  | .long	4282924205 | 
|  | .long	1015187533 | 
|  | .long	2029714210 | 
|  | .long	1072452679 | 
|  | .long	613660079 | 
|  | .long	1015099143 | 
|  | .long	1610600570 | 
|  | .long	1072447659 | 
|  | .long	3766732298 | 
|  | .long	1015760183 | 
|  | .long	3657065772 | 
|  | .long	1072442652 | 
|  | .long	399025623 | 
|  | .long	3162957078 | 
|  | .long	3716502172 | 
|  | .long	1072437659 | 
|  | .long	2303740125 | 
|  | .long	1014042725 | 
|  | .long	1631695677 | 
|  | .long	1072432680 | 
|  | .long	2717633076 | 
|  | .long	3162344026 | 
|  | .long	1540824585 | 
|  | .long	1072427714 | 
|  | .long	1064017011 | 
|  | .long	3163487690 | 
|  | .long	3287523847 | 
|  | .long	1072422761 | 
|  | .long	1625971539 | 
|  | .long	3157009955 | 
|  | .long	2420883922 | 
|  | .long	1072417822 | 
|  | .long	2049810052 | 
|  | .long	1014119888 | 
|  | .long	3080351519 | 
|  | .long	1072412896 | 
|  | .long	3379126788 | 
|  | .long	3157218001 | 
|  | .long	815859274 | 
|  | .long	1072407984 | 
|  | .long	240396590 | 
|  | .long	3163487443 | 
|  | .long	4062661092 | 
|  | .long	1072403084 | 
|  | .long	1422616006 | 
|  | .long	3163255318 | 
|  | .long	4076559943 | 
|  | .long	1072398198 | 
|  | .long	2119478331 | 
|  | .long	3160758351 | 
|  | .long	703710506 | 
|  | .long	1072393326 | 
|  | .long	1384660846 | 
|  | .long	1015195891 | 
|  | .long	2380618042 | 
|  | .long	1072388466 | 
|  | .long	3149557219 | 
|  | .long	3163320799 | 
|  | .long	364333489 | 
|  | .long	1072383620 | 
|  | .long	3923737744 | 
|  | .long	3161421373 | 
|  | .long	3092190715 | 
|  | .long	1072378786 | 
|  | .long	814012168 | 
|  | .long	3159523422 | 
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|  | .type	static_const_table,@object | 
|  | .size	static_const_table,4280 | 
|  | .data | 
|  | .section .note.GNU-stack, "" | 
|  | # End |