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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
| // ---------------------
| //
| // Let x=2^k * mx, mx in [1,2)
| //
| // Get B~1/mx based on the output of rcpps instruction (B0)
| // B = int((B0*2^7+0.5))/2^7
| //
| // Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
| //
| // Result: k*log(2) - log(B) + p(r)
| // p(r) is a degree 7 polynomial
| // -log(B) read from data table (high, low parts)
| // Result is formed from high and low parts
| //
| // Special cases:
| // log1p(NaN) = quiet NaN, and raise invalid exception
| // log1p(+INF) = that INF
| // log1p(x) = NaN if x < -1 or x = -INF, and raises invalid exception
| // log1p(-1) = -INF, and raises divide-by-zero exception
| // log1p(+/-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 log1p
| ENTRY(log1p)
| # 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
| xorpd %xmm2, %xmm2
| movl $16368, %eax
| pinsrw $3, %eax, %xmm2
| xorpd %xmm3, %xmm3
| movl $32768, %ecx
| movd %ecx, %xmm4
| movsd 2128(%ebx), %xmm5
| pshufd $68, %xmm0, %xmm7
| movapd %xmm2, %xmm6
| pextrw $3, %xmm0, %ecx
| addsd %xmm2, %xmm0
| movapd %xmm0, %xmm1
| pextrw $3, %xmm0, %eax
| subsd %xmm0, %xmm6
| orpd %xmm2, %xmm0
| psllq $5, %xmm0
| psrlq $34, %xmm0
| subl $16, %eax
| cmpl $32736, %eax
| jae .L_2TAG_PACKET_0.0.2
| addsd %xmm6, %xmm7
| rcpss %xmm0, %xmm0
| psllq $12, %xmm1
| pshufd $228, %xmm5, %xmm6
| psrlq $12, %xmm1
| andl $32752, %ecx
| cmpl $16256, %ecx
| jb .L_2TAG_PACKET_1.0.2
| andl $32752, %eax
| movl $32720, %ecx
| subl %eax, %ecx
| pinsrw $3, %ecx, %xmm3
| .L_2TAG_PACKET_2.0.2:
| mulsd %xmm3, %xmm7
| paddd %xmm4, %xmm0
| xorpd %xmm4, %xmm4
| movl $14336, %ecx
| pinsrw $3, %ecx, %xmm4
| orpd %xmm2, %xmm1
| movd %xmm0, %edx
| psllq $29, %xmm0
| andpd %xmm1, %xmm5
| andpd %xmm6, %xmm0
| subsd %xmm5, %xmm1
| paddd %xmm4, %xmm0
| mulsd %xmm0, %xmm5
| movl $16352, %ecx
| subl %ecx, %eax
| cvtsi2sdl %eax, %xmm4
| mulsd %xmm0, %xmm7
| mulsd %xmm0, %xmm1
| movsd 2064(%ebx), %xmm6
| movapd 2080(%ebx), %xmm3
| subsd %xmm2, %xmm5
| andl $16711680, %edx
| shrl $12, %edx
| movapd (%ebx,%edx), %xmm0
| movapd 2096(%ebx), %xmm2
| addsd %xmm5, %xmm1
| movapd %xmm1, %xmm5
| addsd %xmm7, %xmm1
| subsd %xmm1, %xmm5
| addsd %xmm5, %xmm7
| mulsd %xmm4, %xmm6
| mulsd 2072(%ebx), %xmm4
| mulsd %xmm1, %xmm3
| pshufd $68, %xmm1, %xmm5
| addsd %xmm6, %xmm0
| mulpd %xmm5, %xmm2
| mulpd %xmm5, %xmm5
| pshufd $228, %xmm0, %xmm6
| addsd %xmm1, %xmm0
| addpd 2112(%ebx), %xmm2
| mulpd %xmm5, %xmm3
| subsd %xmm0, %xmm6
| mulsd %xmm1, %xmm2
| addsd %xmm7, %xmm4
| mulsd %xmm1, %xmm7
| addsd %xmm6, %xmm1
| pshufd $238, %xmm0, %xmm6
| mulsd %xmm5, %xmm5
| addsd %xmm6, %xmm4
| subsd %xmm7, %xmm1
| addpd %xmm3, %xmm2
| addsd %xmm4, %xmm1
| mulpd %xmm5, %xmm2
| addsd %xmm2, %xmm1
| pshufd $238, %xmm2, %xmm5
| addsd %xmm5, %xmm1
| addsd %xmm1, %xmm0
| jmp .L_2TAG_PACKET_3.0.2
| .L_2TAG_PACKET_0.0.2:
| movsd 112(%esp), %xmm0
| movapd %xmm0, %xmm1
| addl $16, %eax
| cmpl $32768, %eax
| jae .L_2TAG_PACKET_4.0.2
| cmpl $0, %eax
| je .L_2TAG_PACKET_5.0.2
| .L_2TAG_PACKET_6.0.2:
| addsd %xmm0, %xmm0
| jmp .L_2TAG_PACKET_3.0.2
| .L_2TAG_PACKET_7.0.2:
| ja .L_2TAG_PACKET_6.0.2
| cmpl $0, %edx
| ja .L_2TAG_PACKET_6.0.2
| jmp .L_2TAG_PACKET_8.0.2
| .L_2TAG_PACKET_4.0.2:
| movd %xmm1, %edx
| psrlq $32, %xmm1
| movd %xmm1, %ecx
| addl %ecx, %ecx
| cmpl $-2097152, %ecx
| jae .L_2TAG_PACKET_7.0.2
| orl %ecx, %edx
| cmpl $0, %edx
| je .L_2TAG_PACKET_5.0.2
| .L_2TAG_PACKET_8.0.2:
| xorpd %xmm1, %xmm1
| xorpd %xmm0, %xmm0
| movl $32752, %eax
| pinsrw $3, %eax, %xmm1
| movl $141, %edx
| mulsd %xmm1, %xmm0
| .L_2TAG_PACKET_9.0.2:
| movsd %xmm0, (%esp)
| movsd 112(%esp), %xmm0
| fldl (%esp)
| jmp .L_2TAG_PACKET_10.0.2
| .L_2TAG_PACKET_5.0.2:
| xorpd %xmm1, %xmm1
| xorpd %xmm0, %xmm0
| movl $49136, %eax
| pinsrw $3, %eax, %xmm0
| divsd %xmm1, %xmm0
| movl $140, %edx
| jmp .L_2TAG_PACKET_9.0.2
| .L_2TAG_PACKET_1.0.2:
| movsd 112(%esp), %xmm0
| cmpl $15504, %ecx
| jb .L_2TAG_PACKET_11.0.2
| movapd 2144(%ebx), %xmm1
| pshufd $68, %xmm0, %xmm0
| movapd 2160(%ebx), %xmm2
| pshufd $68, %xmm0, %xmm4
| movapd 2176(%ebx), %xmm3
| mulpd %xmm0, %xmm1
| xorpd %xmm6, %xmm6
| mulpd %xmm4, %xmm4
| addpd %xmm2, %xmm1
| pshufd $68, %xmm4, %xmm5
| mulpd %xmm0, %xmm4
| movl $49120, %eax
| pinsrw $3, %eax, %xmm6
| mulpd %xmm0, %xmm1
| mulsd %xmm4, %xmm4
| addpd %xmm3, %xmm1
| mulsd %xmm6, %xmm5
| mulpd %xmm4, %xmm1
| pshufd $238, %xmm1, %xmm7
| addsd %xmm7, %xmm1
| addsd %xmm5, %xmm1
| addsd %xmm1, %xmm0
| jmp .L_2TAG_PACKET_3.0.2
| .L_2TAG_PACKET_11.0.2:
| cmpl $16, %ecx
| jb .L_2TAG_PACKET_12.0.2
| jmp .L_2TAG_PACKET_3.0.2
| .L_2TAG_PACKET_12.0.2:
| movapd %xmm0, %xmm1
| mulsd %xmm1, %xmm1
| jmp .L_2TAG_PACKET_3.0.2
| .L_2TAG_PACKET_3.0.2:
| movsd %xmm0, 24(%esp)
| fldl 24(%esp)
| .L_2TAG_PACKET_10.0.2:
| movl 40(%esp), %ebx
| movl %ebp, %esp
| popl %ebp
| ret
| ..B2.3:
| END(log1p)
| # -- End log1p
|
| # Start file scope ASM
| ALIAS_SYMBOL(log1pl, log1p);
| # End file scope ASM
| .section .rodata, "a"
| .align 16
| .align 16
| static_const_table:
| .long 4277811200
| .long 1072049730
| .long 2479318832
| .long 1026487127
| .long 2854492160
| .long 1072033410
| .long 215631550
| .long 1025638968
| .long 1547061248
| .long 1072017216
| .long 2886781435
| .long 1026423395
| .long 649825280
| .long 1072001146
| .long 4281533405
| .long 1024038923
| .long 646346752
| .long 1071985198
| .long 1562735921
| .long 1023790276
| .long 2203734016
| .long 1071969370
| .long 1838397691
| .long 3173936209
| .long 1872169984
| .long 1071953661
| .long 3981202460
| .long 1022325013
| .long 669557760
| .long 1071938069
| .long 4182597802
| .long 3173174122
| .long 4076413952
| .long 1071922591
| .long 1209029111
| .long 3170736207
| .long 556125184
| .long 1071907228
| .long 821086028
| .long 3173437049
| .long 204914688
| .long 1071891976
| .long 2097025986
| .long 3171071798
| .long 387545088
| .long 1071876834
| .long 3142936996
| .long 3173092218
| .long 2912783360
| .long 1071861800
| .long 2502420140
| .long 1024505919
| .long 1144260608
| .long 1071846874
| .long 3315658140
| .long 3173469843
| .long 1471209472
| .long 1071832053
| .long 129621009
| .long 3172443877
| .long 1829683200
| .long 1071817336
| .long 3885467693
| .long 1025535275
| .long 288676864
| .long 1071802722
| .long 86139472
| .long 3171639793
| .long 3636378624
| .long 1071788208
| .long 1850238587
| .long 1024654342
| .long 1606817792
| .long 1071773795
| .long 3388899795
| .long 3173675586
| .long 1236164608
| .long 1071759480
| .long 3983599207
| .long 1020046558
| .long 1089616896
| .long 1071745262
| .long 4171974224
| .long 1024773198
| .long 4143093760
| .long 1071731139
| .long 2727587401
| .long 3173965207
| .long 600267776
| .long 1071717112
| .long 3147685042
| .long 3173353031
| .long 2249313280
| .long 1071703177
| .long 125835074
| .long 1025255832
| .long 3805303808
| .long 1071689334
| .long 2289991207
| .long 1025460331
| .long 87278592
| .long 1071675583
| .long 1106114045
| .long 1025933602
| .long 3195405312
| .long 1071661920
| .long 3885316576
| .long 3171206239
| .long 3853649920
| .long 1071648346
| .long 2977069852
| .long 3171236771
| .long 2944026624
| .long 1071625048
| .long 1008093493
| .long 1023444474
| .long 3993180160
| .long 1071598247
| .long 1862355595
| .long 1024642533
| .long 1454641152
| .long 1071571617
| .long 1514603089
| .long 1026500596
| .long 3286085632
| .long 1071545154
| .long 1400028424
| .long 3173279056
| .long 438773760
| .long 1071518858
| .long 120727864
| .long 3172148914
| .long 1212979200
| .long 1071492725
| .long 1625055594
| .long 3172901933
| .long 1189017600
| .long 1071466754
| .long 3920062376
| .long 1025727407
| .long 403064832
| .long 1071440943
| .long 1053271728
| .long 3171391427
| .long 3343210496
| .long 1071415289
| .long 3243395502
| .long 3173627613
| .long 1765777408
| .long 1071389792
| .long 2145968512
| .long 1026354304
| .long 461430784
| .long 1071364449
| .long 4094322285
| .long 1026021467
| .long 71706624
| .long 1071339258
| .long 763632021
| .long 1024496933
| .long 1380503552
| .long 1071314217
| .long 1383547992
| .long 3173088453
| .long 1015732224
| .long 1071289325
| .long 3198646877
| .long 1025390322
| .long 35977216
| .long 1071264580
| .long 2141026805
| .long 1025754693
| .long 3927306240
| .long 1071239979
| .long 282116272
| .long 3173394334
| .long 1125341184
| .long 1071215523
| .long 2768427504
| .long 3172279059
| .long 1666971648
| .long 1071191208
| .long 786837629
| .long 3172427445
| .long 2827694080
| .long 1071167033
| .long 3857122416
| .long 3173014241
| .long 2003683328
| .long 1071142997
| .long 859010954
| .long 1026545007
| .long 1004017664
| .long 1071119098
| .long 3356644970
| .long 3173458064
| .long 1753020416
| .long 1071095334
| .long 788338552
| .long 1026157693
| .long 1992718336
| .long 1071071704
| .long 1239179443
| .long 1026394889
| .long 3870234624
| .long 1071048206
| .long 2082614663
| .long 1024926053
| .long 1050437632
| .long 1071024840
| .long 660007840
| .long 1025548499
| .long 188395520
| .long 1071001603
| .long 3878792704
| .long 3173889571
| .long 3747176448
| .long 1070978493
| .long 144991708
| .long 3171552042
| .long 1405669376
| .long 1070955511
| .long 3999088879
| .long 1025486317
| .long 121151488
| .long 1070932654
| .long 2170865497
| .long 1026473584
| .long 2652319744
| .long 1070909920
| .long 453695652
| .long 3173916809
| .long 3262236672
| .long 1070887309
| .long 157800053
| .long 3173984206
| .long 601221120
| .long 1070864820
| .long 3968917661
| .long 1023992886
| .long 1999843328
| .long 1070842450
| .long 3053895004
| .long 1024998228
| .long 1992167424
| .long 1070820199
| .long 2968614856
| .long 1024552653
| .long 3788726272
| .long 1070798065
| .long 3542170808
| .long 3173573242
| .long 2094829568
| .long 1070776048
| .long 1246758132
| .long 1026202874
| .long 288675840
| .long 1070754146
| .long 3747328950
| .long 1026331585
| .long 1829681152
| .long 1070732357
| .long 3125197546
| .long 1024100318
| .long 1666869248
| .long 1070710681
| .long 1363656119
| .long 1026336493
| .long 3417110528
| .long 1070689116
| .long 4154791553
| .long 1026267853
| .long 2183653376
| .long 1070667662
| .long 1671819292
| .long 3173785870
| .long 1734434816
| .long 1070646317
| .long 373091049
| .long 1025972363
| .long 1615681536
| .long 1070625080
| .long 384650897
| .long 1022926043
| .long 1445382144
| .long 1070603950
| .long 344320330
| .long 3172397196
| .long 1823715328
| .long 1070569756
| .long 3389841200
| .long 1025231852
| .long 3839688704
| .long 1070527917
| .long 1706790417
| .long 3167363349
| .long 4293332992
| .long 1070486286
| .long 1614935088
| .long 1019351591
| .long 2966720512
| .long 1070444861
| .long 4145393717
| .long 3173711658
| .long 4066729984
| .long 1070403639
| .long 1974925028
| .long 3171437182
| .long 3337621504
| .long 1070362619
| .long 3314953170
| .long 3169971314
| .long 943448064
| .long 1070321799
| .long 1498682038
| .long 3173862340
| .long 1465634816
| .long 1070281176
| .long 1319952810
| .long 3171693965
| .long 1015734272
| .long 1070240749
| .long 1347821929
| .long 3173544515
| .long 118001664
| .long 1070200516
| .long 1751482746
| .long 1026134093
| .long 3707174912
| .long 1070160474
| .long 1486946159
| .long 1023930920
| .long 3946381312
| .long 1070120623
| .long 2867408081
| .long 3171368276
| .long 1699848192
| .long 1070080961
| .long 2590187139
| .long 1025379803
| .long 2235846656
| .long 1070041485
| .long 1888568069
| .long 3172754960
| .long 2339729408
| .long 1070002194
| .long 3852214753
| .long 3173323149
| .long 3196850176
| .long 1069963086
| .long 742141560
| .long 1025101707
| .long 1800683520
| .long 1069924160
| .long 3949500444
| .long 3172102179
| .long 3835801600
| .long 1069885413
| .long 3848895943
| .long 1025913832
| .long 2201202688
| .long 1069846845
| .long 1425913464
| .long 1025868665
| .long 2778279936
| .long 1069808453
| .long 2120889677
| .long 3173831128
| .long 2954203136
| .long 1069770236
| .long 592147081
| .long 1019621288
| .long 210141184
| .long 1069732193
| .long 3414275233
| .long 1023647084
| .long 709476352
| .long 1069694321
| .long 2413027164
| .long 1024462115
| .long 2116284416
| .long 1069656619
| .long 1144559924
| .long 1026336654
| .long 2183651328
| .long 1069619086
| .long 3459057650
| .long 1025634168
| .long 3047047168
| .long 1069581720
| .long 1879674924
| .long 3173508573
| .long 970711040
| .long 1069541521
| .long 1335954173
| .long 3173332182
| .long 2198478848
| .long 1069467449
| .long 2951103968
| .long 3173892200
| .long 1669611520
| .long 1069393703
| .long 531044147
| .long 1025149248
| .long 29114368
| .long 1069320280
| .long 3327831251
| .long 1025918673
| .long 2376949760
| .long 1069247176
| .long 737634533
| .long 3172176000
| .long 1085390848
| .long 1069174390
| .long 3108243400
| .long 3171828406
| .long 1566130176
| .long 1069101918
| .long 985483226
| .long 1025708380
| .long 792780800
| .long 1069029758
| .long 4184866295
| .long 1024426204
| .long 183156736
| .long 1068957907
| .long 2845699378
| .long 1022107277
| .long 1301782528
| .long 1068886362
| .long 1012735262
| .long 3173804294
| .long 1562411008
| .long 1068815121
| .long 2197086703
| .long 3170187813
| .long 2815549440
| .long 1068744181
| .long 2782613207
| .long 1026345054
| .long 2756124672
| .long 1068673540
| .long 2929486205
| .long 3173037800
| .long 3511050240
| .long 1068603195
| .long 1443733147
| .long 3173331549
| .long 3047047168
| .long 1068533144
| .long 1879674924
| .long 3172459997
| .long 3221667840
| .long 1068427825
| .long 1338588027
| .long 3171815742
| .long 3453861888
| .long 1068288883
| .long 1205348359
| .long 3172624626
| .long 3506110464
| .long 1068150514
| .long 893105198
| .long 1025571866
| .long 346013696
| .long 1068012714
| .long 3495569021
| .long 3172563349
| .long 4074029056
| .long 1067875476
| .long 3961106338
| .long 3171065595
| .long 3559784448
| .long 1067738798
| .long 1975385384
| .long 3173783155
| .long 797769728
| .long 1067602675
| .long 3760305787
| .long 1026047642
| .long 2313633792
| .long 1067467101
| .long 1559353171
| .long 1023480256
| .long 3960766464
| .long 1067213778
| .long 1067365107
| .long 1025865926
| .long 684261376
| .long 1066944805
| .long 844762164
| .long 3173687482
| .long 630718464
| .long 1066676905
| .long 2458269694
| .long 1024033081
| .long 1486061568
| .long 1066410070
| .long 115537874
| .long 3173243995
| .long 2743664640
| .long 1065886792
| .long 3665098304
| .long 3173471607
| .long 1971912704
| .long 1065357333
| .long 2577214440
| .long 3171993451
| .long 1498939392
| .long 1064306693
| .long 3409036923
| .long 1025599151
| .long 0
| .long 0
| .long 0
| .long 2147483648
| .long 4277811200
| .long 1067855426
| .long 2479318832
| .long 1022292823
| .long 2454267026
| .long 1069697316
| .long 0
| .long 3218079744
| .long 1030730101
| .long 3217380702
| .long 1431655765
| .long 1070945621
| .long 2576980378
| .long 1070176665
| .long 0
| .long 3219128320
| .long 0
| .long 4294959104
| .long 0
| .long 4294959104
| .long 0
| .long 3217031168
| .long 2576980378
| .long 1070176665
| .long 2454267026
| .long 1069697316
| .long 0
| .long 3218079744
| .long 1431655765
| .long 3217380693
| .long 1431655765
| .long 1070945621
| .type static_const_table,@object
| .size static_const_table,2192
| .data
| .section .note.GNU-stack, ""
| # End
|
|
