/*
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 log1p
ENTRY(log1p)
# parameter 1: %xmm0
..B1.1:
..___tag_value_log1p.1:
subq $24, %rsp
..___tag_value_log1p.3:
movsd %xmm0, 8(%rsp)
..B1.2:
movq $0x3ff0000000000000, %rax
movd %rax, %xmm2
xorpd %xmm3, %xmm3
movl $32768, %ecx
movd %rcx, %xmm4
movq $0xffffe00000000000, %r8
movd %r8, %xmm5
movddup %xmm0, %xmm7
pshufd $68, %xmm2, %xmm6
pextrw $3, %xmm0, %ecx
addsd %xmm2, %xmm0
movq %xmm0, %xmm1
pextrw $3, %xmm0, %eax
subsd %xmm0, %xmm6
orpd %xmm2, %xmm0
psrlq $27, %xmm0
lea L_tbl(%rip), %r11
psrld $2, %xmm0
subl $16, %eax
cmpl $32736, %eax
jae .L_2TAG_PACKET_0.0.2
addsd %xmm6, %xmm7
rcpps %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
movq $0x3800000000000000, %rcx
movd %rcx, %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
cvtsi2sd %eax, %xmm4
mulsd %xmm0, %xmm7
mulsd %xmm0, %xmm1
movq log2(%rip), %xmm6
movapd coeff(%rip), %xmm3
subsd %xmm2, %xmm5
andl $16711680, %edx
shrl $12, %edx
movapd (%r11,%rdx), %xmm0
movapd 16+coeff(%rip), %xmm2
addsd %xmm5, %xmm1
movq %xmm1, %xmm5
addsd %xmm7, %xmm1
subsd %xmm1, %xmm5
addsd %xmm5, %xmm7
mulsd %xmm4, %xmm6
mulsd 8+log2(%rip), %xmm4
mulsd %xmm1, %xmm3
movddup %xmm1, %xmm5
addsd %xmm6, %xmm0
mulpd %xmm5, %xmm2
mulpd %xmm5, %xmm5
movddup %xmm0, %xmm6
addsd %xmm1, %xmm0
addpd 32+coeff(%rip), %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 ..B1.5
.L_2TAG_PACKET_0.0.2:
movq 8(%rsp), %xmm0
movq 8(%rsp), %xmm1
addl $16, %eax
cmpl $32768, %eax
jae .L_2TAG_PACKET_3.0.2
cmpl $0, %eax
je .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_5.0.2:
addsd %xmm0, %xmm0
jmp ..B1.5
.L_2TAG_PACKET_6.0.2:
ja .L_2TAG_PACKET_5.0.2
cmpl $0, %edx
ja .L_2TAG_PACKET_5.0.2
jmp .L_2TAG_PACKET_7.0.2
.L_2TAG_PACKET_3.0.2:
movd %xmm1, %edx
psrlq $32, %xmm1
movd %xmm1, %ecx
addl %ecx, %ecx
cmpl $-2097152, %ecx
jae .L_2TAG_PACKET_6.0.2
orl %ecx, %edx
cmpl $0, %edx
je .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_7.0.2:
xorpd %xmm1, %xmm1
xorpd %xmm0, %xmm0
movl $32752, %eax
pinsrw $3, %eax, %xmm1
movl $141, (%rsp)
mulsd %xmm1, %xmm0
jmp .L_2TAG_PACKET_8.0.2
.L_2TAG_PACKET_4.0.2:
xorpd %xmm1, %xmm1
xorpd %xmm0, %xmm0
movl $49136, %eax
pinsrw $3, %eax, %xmm0
divsd %xmm1, %xmm0
movl $140, (%rsp)
jmp .L_2TAG_PACKET_8.0.2
.L_2TAG_PACKET_1.0.2:
movq 8(%rsp), %xmm0
cmpl $15504, %ecx
jb .L_2TAG_PACKET_9.0.2
movapd coeff2(%rip), %xmm1
pshufd $68, %xmm0, %xmm0
movapd 16+coeff2(%rip), %xmm2
pshufd $68, %xmm0, %xmm4
movapd 32+coeff2(%rip), %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 ..B1.5
.L_2TAG_PACKET_9.0.2:
cmpl $16, %ecx
jb .L_2TAG_PACKET_10.0.2
jmp ..B1.5
.L_2TAG_PACKET_10.0.2:
movq %xmm0, %xmm1
mulsd %xmm1, %xmm1
jmp ..B1.5
.L_2TAG_PACKET_8.0.2:
movq %xmm0, 16(%rsp)
..B1.3:
movq 16(%rsp), %xmm0
.L_2TAG_PACKET_11.0.2:
..B1.5:
addq $24, %rsp
..___tag_value_log1p.4:
ret
..___tag_value_log1p.5:
END(log1p)
# -- End log1p
.section .rodata, "a"
.align 16
.align 16
L_tbl:
.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
.type L_tbl,@object
.size L_tbl,2064
.align 16
log2:
.long 4277811200
.long 1067855426
.long 2479318832
.long 1022292823
.type log2,@object
.size log2,16
.align 16
coeff:
.long 2454267026
.long 1069697316
.long 0
.long 3218079744
.long 1030730101
.long 3217380702
.long 1431655765
.long 1070945621
.long 2576980378
.long 1070176665
.long 0
.long 3219128320
.type coeff,@object
.size coeff,48
.align 16
coeff2:
.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 coeff2,@object
.size coeff2,48
.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_log1p.1-.
.4byte ..___tag_value_log1p.5-..___tag_value_log1p.1
.2byte 0x0400
.4byte ..___tag_value_log1p.3-..___tag_value_log1p.1
.2byte 0x200e
.byte 0x04
.4byte ..___tag_value_log1p.4-..___tag_value_log1p.3
.2byte 0x080e
.byte 0x00
# End