/*
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
.long 1822067026
.long 1072373966
.long 1241994956
.long 1015340290
.long 697153126
.long 1072369159
.long 1283515429
.long 3163283189
.long 3861050111
.long 1072364364
.long 254893773
.long 3162813180
.long 2572866477
.long 1072359583
.long 878562433
.long 1015521741
.long 977020788
.long 1072354815
.long 3065100517
.long 1015541563
.long 3218338682
.long 1072350059
.long 3404164304
.long 3162477108
.long 557149882
.long 1072345317
.long 3672720709
.long 1014537265
.long 1434058175
.long 1072340587
.long 251133233
.long 1015085769
.long 1405169241
.long 1072335870
.long 2998539689
.long 3162830951
.long 321958744
.long 1072331166
.long 3401933767
.long 1015794558
.long 2331271250
.long 1072326474
.long 812057446
.long 1012207446
.long 2990417245
.long 1072321795
.long 3683467745
.long 3163369326
.long 2152073944
.long 1072317129
.long 1486860576
.long 3163203456
.long 3964284211
.long 1072312475
.long 2111583915
.long 1015427164
.long 3985553595
.long 1072307834
.long 4002146062
.long 1015834136
.long 2069751141
.long 1072303206
.long 1562170675
.long 3162724681
.long 2366108318
.long 1072298590
.long 2867985102
.long 3161762254
.long 434316067
.long 1072293987
.long 2028358766
.long 1013458122
.long 424392917
.long 1072289396
.long 2749202995
.long 3162838718
.long 2191782032
.long 1072284817
.long 2960257726
.long 1013742662
.long 1297350157
.long 1072280251
.long 1308022040
.long 3163412558
.long 1892288442
.long 1072275697
.long 2446255666
.long 3162600381
.long 3833209506
.long 1072271155
.long 2722920684
.long 1013754842
.long 2682146384
.long 1072266626
.long 2082178513
.long 3163363419
.long 2591453363
.long 1072262109
.long 2132396182
.long 3159074198
.long 3418903055
.long 1072257604
.long 2527457337
.long 3160820604
.long 727685349
.long 1072253112
.long 2038246809
.long 3162358742
.long 2966275557
.long 1072248631
.long 2176155324
.long 3159842759
.long 1403662306
.long 1072244163
.long 2788809599
.long 3161671007
.long 194117574
.long 1072239707
.long 777528612
.long 3163412089
.long 3492293770
.long 1072235262
.long 2248032210
.long 1015386826
.long 2568320822
.long 1072230830
.long 2732824428
.long 1014352915
.long 1577608921
.long 1072226410
.long 1875489510
.long 3162968394
.long 380978316
.long 1072222002
.long 854188970
.long 3160462686
.long 3134592888
.long 1072217605
.long 4232266862
.long 1015991134
.long 1110089947
.long 1072213221
.long 1451641639
.long 1015474673
.long 2759350287
.long 1072208848
.long 1148526634
.long 1015894933
.long 3649726105
.long 1072204487
.long 4085036346
.long 1015649474
.long 3643909174
.long 1072200138
.long 3537586109
.long 1014354647
.long 2604962541
.long 1072195801
.long 2614425274
.long 3163539192
.long 396319521
.long 1072191476
.long 4172420816
.long 3159074632
.long 1176749997
.long 1072187162
.long 2738998779
.long 3162035844
.long 515457527
.long 1072182860
.long 836709333
.long 1015651226
.long 2571947539
.long 1072178569
.long 3558159064
.long 3163376669
.long 2916157145
.long 1072174290
.long 219487565
.long 1015309367
.long 1413356050
.long 1072170023
.long 1651349291
.long 3162668166
.long 2224145553
.long 1072165767
.long 3482522030
.long 3161489169
.long 919555682
.long 1072161523
.long 3121969534
.long 1012948226
.long 1660913392
.long 1072157290
.long 4218599604
.long 1015135707
.long 19972402
.long 1072153069
.long 3507899862
.long 1016009292
.long 158781403
.long 1072148859
.long 2221464712
.long 3163286453
.long 1944781191
.long 1072144660
.long 3993278767
.long 3161724279
.long 950803702
.long 1072140473
.long 1655364926
.long 1015237032
.long 1339972927
.long 1072136297
.long 167908909
.long 1015572152
.long 2980802057
.long 1072132132
.long 378619896
.long 1015773303
.long 1447192521
.long 1072127979
.long 1462857171
.long 3162514521
.long 903334909
.long 1072123837
.long 1636462108
.long 1015039997
.long 1218806132
.long 1072119706
.long 1818613052
.long 3162548441
.long 2263535754
.long 1072115586
.long 752233586
.long 3162639008
.long 3907805044
.long 1072111477
.long 2257091225
.long 3161550407
.long 1727278727
.long 1072107380
.long 3562710623
.long 1011471940
.long 4182873220
.long 1072103293
.long 629542646
.long 3161996303
.long 2555984613
.long 1072099218
.long 2652555442
.long 3162552692
.long 1013258799
.long 1072095154
.long 1748797611
.long 3160129082
.long 3721688645
.long 1072091100
.long 3069276937
.long 1015839401
.long 1963711167
.long 1072087058
.long 1744767757
.long 3160574294
.long 4201977662
.long 1072083026
.long 748330254
.long 1013594357
.long 1719614413
.long 1072079006
.long 330458198
.long 3163282740
.long 2979960120
.long 1072074996
.long 2599109725
.long 1014498493
.long 3561793907
.long 1072070997
.long 1157054053
.long 1011890350
.long 3339203574
.long 1072067009
.long 1483497780
.long 3162408754
.long 2186617381
.long 1072063032
.long 2270764084
.long 3163272713
.long 4273770423
.long 1072059065
.long 3383180809
.long 3163218901
.long 885834528
.long 1072055110
.long 1973258547
.long 3162261564
.long 488188413
.long 1072051165
.long 3199821029
.long 1015564048
.long 2956612997
.long 1072047230
.long 2118169751
.long 3162735553
.long 3872257780
.long 1072043306
.long 1253592103
.long 1015958334
.long 3111574537
.long 1072039393
.long 2606161479
.long 3162759746
.long 551349105
.long 1072035491
.long 3821916050
.long 3162106589
.long 363667784
.long 1072031599
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.section .note.GNU-stack, ""
# End