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|
/*
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
// ---------------------
//
// This implementation uses the main path for |x| in [2^{-5},2^65).
// For |x| in [2^{-64},2^{-5}), a secondary path is used.
// For the biased exponent of X within 3FFH-64 and 3FF+64, we use one branch.
// We use the following definition of B and X` so that the formula
// atan(X) = Tau + atan( (X`-B) / (One + BX) ) is correct
//
// X = (-1)^s * 2^k * 1. x1 x2 ... x52
//
// Define X` = 0 if k >= 5; and X` = |X| otherwise
// Define One = 0 if k >= 5; and One = 1 otherwise
// Define B = 0 if k <= -6; B = 2^k * 1.x1 x2 x3 x4 1 if -5 <= k <= 4
// Define B = 2^5 * 1.0 0 ... 0 if k >= 5
//
// Tau is 0 if k <= -6;
// Tau is atan( B ) if -5 <= k <= 4
// Tau is pi/2 if k >= 5
//
// Special cases:
// atan(NaN) = quiet NaN
// atan(+/-INF) = +/-Pi/2
// atan(+/-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 atan
ENTRY(atan)
# parameter 1: 8 + %ebp
..B2.1:
..B2.2:
pushl %ebp
movl %esp, %ebp
subl $104, %esp
movl %ebx, 48(%esp)
call static_func
movl %eax, %ebx
movsd 112(%esp), %xmm0
movsd 2640(%ebx), %xmm3
movsd 2624(%ebx), %xmm5
movsd 2656(%ebx), %xmm4
movsd %xmm0, 8(%esp)
pextrw $3, %xmm0, %edx
andpd %xmm0, %xmm3
pshufd $68, %xmm0, %xmm1
orpd %xmm4, %xmm3
movl %edx, %eax
andl $32767, %edx
subl $16288, %edx
cmpl $159, %edx
ja .L_2TAG_PACKET_0.0.2
mulsd %xmm3, %xmm1
subsd %xmm3, %xmm0
addsd %xmm5, %xmm1
divsd %xmm1, %xmm0
addl $1, %edx
movsd 2672(%ebx), %xmm2
movsd 2688(%ebx), %xmm4
andl $32768, %eax
xorpd %xmm7, %xmm7
pinsrw $3, %eax, %xmm7
addl %edx, %edx
movsd (%ebx,%edx,8), %xmm6
movsd 8(%ebx,%edx,8), %xmm5
xorpd %xmm7, %xmm5
xorpd %xmm7, %xmm6
movsd 2680(%ebx), %xmm7
pshufd $68, %xmm0, %xmm1
mulsd %xmm0, %xmm0
pshufd $68, %xmm1, %xmm3
addsd %xmm6, %xmm1
mulsd %xmm0, %xmm2
addsd %xmm0, %xmm4
subsd %xmm1, %xmm6
mulsd %xmm0, %xmm4
addsd %xmm7, %xmm2
mulsd %xmm3, %xmm0
addsd %xmm3, %xmm6
mulsd %xmm2, %xmm0
addsd 2696(%ebx), %xmm4
addsd %xmm5, %xmm6
mulsd %xmm4, %xmm0
addsd %xmm6, %xmm0
addsd %xmm1, %xmm0
movsd %xmm0, (%esp)
fldl (%esp)
jmp .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_0.0.2:
addl $944, %edx
cmpl $1103, %edx
ja .L_2TAG_PACKET_2.0.2
movsd 2672(%ebx), %xmm4
movsd 2688(%ebx), %xmm7
movsd 8(%esp), %xmm0
mulsd %xmm1, %xmm1
movsd 2680(%ebx), %xmm2
movsd 2696(%ebx), %xmm5
mulsd %xmm1, %xmm4
addsd %xmm1, %xmm7
movapd %xmm1, %xmm6
mulsd %xmm0, %xmm1
addsd %xmm4, %xmm2
mulsd %xmm6, %xmm7
mulsd %xmm1, %xmm2
addsd %xmm5, %xmm7
mulsd %xmm7, %xmm2
addsd %xmm2, %xmm0
movsd %xmm0, (%esp)
fldl (%esp)
jmp .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_2.0.2:
addl $15344, %edx
cmpl $16368, %edx
ja .L_2TAG_PACKET_3.0.2
movsd 8(%esp), %xmm0
movsd 8(%esp), %xmm1
cmpl $16, %edx
jae .L_2TAG_PACKET_4.0.2
mulsd %xmm0, %xmm1
.L_2TAG_PACKET_4.0.2:
movsd %xmm0, (%esp)
fldl (%esp)
jmp .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_3.0.2:
cmpl $17392, %edx
jae .L_2TAG_PACKET_5.0.2
xorpd %xmm1, %xmm1
movl $49136, %ecx
pinsrw $3, %ecx, %xmm1
divsd %xmm0, %xmm1
movsd 2672(%ebx), %xmm2
movsd 2688(%ebx), %xmm4
andl $32768, %eax
xorpd %xmm7, %xmm7
pinsrw $3, %eax, %xmm7
addl %edx, %edx
movsd 2592(%ebx), %xmm6
movsd 2600(%ebx), %xmm5
xorpd %xmm7, %xmm5
xorpd %xmm7, %xmm6
movsd 2680(%ebx), %xmm7
pshufd $68, %xmm1, %xmm0
mulsd %xmm1, %xmm1
pshufd $68, %xmm0, %xmm3
addsd %xmm6, %xmm0
mulsd %xmm1, %xmm2
addsd %xmm1, %xmm4
subsd %xmm0, %xmm6
mulsd %xmm1, %xmm4
addsd %xmm7, %xmm2
mulsd %xmm3, %xmm1
addsd %xmm3, %xmm6
mulsd %xmm2, %xmm1
addsd 2696(%ebx), %xmm4
addsd %xmm5, %xmm6
mulsd %xmm4, %xmm1
addsd %xmm6, %xmm1
addsd %xmm1, %xmm0
movsd %xmm0, (%esp)
fldl (%esp)
jmp .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_5.0.2:
movsd 8(%esp), %xmm4
movsd 2608(%ebx), %xmm0
movsd 2592(%ebx), %xmm2
movsd 2600(%ebx), %xmm3
movd %xmm1, %eax
psrlq $32, %xmm1
movd %xmm1, %edx
andl $2147483647, %edx
cmpl $2146435072, %edx
jae .L_2TAG_PACKET_6.0.2
.L_2TAG_PACKET_7.0.2:
andnpd %xmm4, %xmm0
orpd %xmm0, %xmm2
orpd %xmm3, %xmm0
addsd %xmm2, %xmm0
movsd %xmm0, (%esp)
fldl (%esp)
jmp .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_6.0.2:
subl $2146435072, %edx
orl %edx, %eax
cmpl $0, %eax
je .L_2TAG_PACKET_7.0.2
movapd %xmm4, %xmm0
addsd %xmm0, %xmm0
movsd %xmm0, (%esp)
fldl (%esp)
.L_2TAG_PACKET_1.0.2:
movl 48(%esp), %ebx
movl %ebp, %esp
popl %ebp
ret
..B2.3:
END(atan)
# -- End atan
# Start file scope ASM
ALIAS_SYMBOL(atanl, atan);
# End file scope ASM
.section .rodata, "a"
.align 16
.align 16
static_const_table:
.long 0
.long 0
.long 0
.long 0
.long 3819695742
.long 1067482761
.long 2398680355
.long 3155462074
.long 2998791009
.long 1067548225
.long 3868465248
.long 3157182472
.long 3339424991
.long 1067613680
.long 3296670360
.long 1010752543
.long 2710002256
.long 1067679126
.long 3403896007
.long 1010910768
.long 3275701428
.long 1067744562
.long 119959933
.long 1011482843
.long 2908636881
.long 1067809988
.long 2464489612
.long 1011545526
.long 3777889398
.long 1067875403
.long 3262682165
.long 1009703919
.long 3759667419
.long 1067940807
.long 1838130851
.long 3157373556
.long 732369940
.long 1068006200
.long 1203428313
.long 1010055371
.long 1166616461
.long 1068071580
.long 2901274051
.long 3158549977
.long 2945472892
.long 1068136947
.long 3726120658
.long 1009762715
.long 3954480976
.long 1068202301
.long 1289173457
.long 1009429861
.long 2081752829
.long 1068267642
.long 1836909874
.long 1006212095
.long 3807999788
.long 1068332968
.long 2172459940
.long 3156162078
.long 2731789884
.long 1068398280
.long 3450718392
.long 3159216547
.long 1044477961
.long 1068463577
.long 2230553229
.long 1011424339
.long 1486930287
.long 1068530218
.long 2861547474
.long 1012041376
.long 2293016881
.long 1068595466
.long 136843272
.long 1012684797
.long 201518157
.long 1068660680
.long 63231984
.long 1012427198
.long 4054234584
.long 1068725856
.long 3927006960
.long 1011878955
.long 1246477213
.long 1068790995
.long 1494265652
.long 3155219350
.long 678186699
.long 1068856093
.long 1264361424
.long 3159256693
.long 2690594995
.long 1068921148
.long 3906996379
.long 1009288267
.long 3362611517
.long 1068986159
.long 1650970041
.long 3158331771
.long 3102162111
.long 1069051124
.long 365917035
.long 3160264153
.long 2352611067
.long 1069116041
.long 4008970190
.long 3159478182
.long 1594134794
.long 1069180908
.long 466690178
.long 1012526501
.long 1345079306
.long 1069245723
.long 2268273568
.long 3160164092
.long 2163300970
.long 1069310484
.long 2750834800
.long 3158113482
.long 352522716
.long 1069375190
.long 1750411372
.long 1011790845
.long 848541647
.long 1069439838
.long 2164207573
.long 1011698350
.long 40647312
.long 1069504427
.long 2949165434
.long 3159107267
.long 2216766270
.long 1069574357
.long 2197920765
.long 3161055954
.long 1090914384
.long 1069638757
.long 2330454674
.long 1013365998
.long 387601244
.long 1069703022
.long 3185681168
.long 1013434071
.long 3991640484
.long 1069767144
.long 1313211590
.long 3161087959
.long 3322489502
.long 1069831118
.long 3013977995
.long 1013053011
.long 3121698570
.long 1069894936
.long 4069015667
.long 1013023362
.long 4289964660
.long 1069958591
.long 1736191156
.long 3158266731
.long 3903312386
.long 1070022077
.long 1833592413
.long 3159731471
.long 3818449864
.long 1070085387
.long 851036429
.long 3159730451
.long 2097480306
.long 1070148515
.long 3506390884
.long 3160462302
.long 1611694502
.long 1070211454
.long 2785735540
.long 3160465144
.long 1464694796
.long 1070274198
.long 4229277299
.long 3159907000
.long 1299612775
.long 1070336741
.long 4116653788
.long 3160427739
.long 1310544789
.long 1070399077
.long 1064430331
.long 1013218202
.long 2253168030
.long 1070461200
.long 1405044609
.long 3157623179
.long 1159567373
.long 1070523105
.long 2353445521
.long 3159992176
.long 1359373750
.long 1070605818
.long 1748171336
.long 3161879263
.long 908341706
.long 1070667034
.long 3372710815
.long 3161775245
.long 1743027350
.long 1070727765
.long 687089934
.long 3160507171
.long 2055355646
.long 1070787992
.long 2392855242
.long 1013682469
.long 690426164
.long 1070847697
.long 1103926666
.long 1014052810
.long 1483247847
.long 1070906862
.long 2082645847
.long 3161345479
.long 392040270
.long 1070965472
.long 2407720023
.long 1014053754
.long 2673846014
.long 1071023511
.long 1293605532
.long 3158464385
.long 1384215810
.long 1071080967
.long 2446095872
.long 3159216407
.long 3101660631
.long 1071137826
.long 698040758
.long 1014855328
.long 2094057058
.long 1071194078
.long 2282048339
.long 1014040385
.long 1712750594
.long 1071249712
.long 1204372378
.long 3162276464
.long 1411515787
.long 1071304719
.long 949080808
.long 1015006403
.long 931538085
.long 1071359091
.long 3027127039
.long 1014307233
.long 179139065
.long 1071412821
.long 4285547492
.long 3161934731
.long 3387721259
.long 1071465902
.long 373225773
.long 1013486625
.long 2132236852
.long 1071544299
.long 3250533429
.long 1014031677
.long 1942070284
.long 1071645596
.long 1237964179
.long 3163239113
.long 1532707802
.long 1071695380
.long 330645583
.long 1012495610
.long 2294184979
.long 1071743834
.long 3959472897
.long 1015833116
.long 3805060714
.long 1071790961
.long 2671256142
.long 1013727772
.long 2215037898
.long 1071836770
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.section .note.GNU-stack, "",@progbits
# End
|
