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- /*
- * Math library
- *
- * Copyright (C) 2016 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.
- *
- *
- * Author Name <jingwei.zhang@intel.com>
- * History:
- * 03-14-2016 Initial version. numerics svn rev. 12864
- */
- .file "cbrt_gen.c"
- .text
- ..TXTST0:
- # -- Begin cbrt
- .text
- .align 16,0x90
- .globl cbrt
- cbrt:
- # parameter 1: %xmm0
- ..B1.1:
- .cfi_startproc
- ..___tag_value_cbrt.1:
- ..L2:
- subq $24, %rsp
- .cfi_def_cfa_offset 32
- movsd %xmm0, (%rsp)
- ..B1.2:
- movq %xmm0, %xmm7
- movl $524032, %edx
- movsd EXP_MSK3(%rip), %xmm5
- movsd EXP_MSK2(%rip), %xmm3
- psrlq $44, %xmm7
- pextrw $0, %xmm7, %ecx
- movd %xmm7, %eax
- movsd EXP_MASK(%rip), %xmm1
- movsd SIG_MASK(%rip), %xmm2
- andl $248, %ecx
- lea rcp_table(%rip), %r8
- movsd (%rcx,%r8), %xmm4
- movq %rax, %r9
- andl %eax, %edx
- cmpl $0, %edx
- je .L_2TAG_PACKET_0.0.1
- cmpl $524032, %edx
- je .L_2TAG_PACKET_1.0.1
- shrl $8, %edx
- shrq $8, %r9
- andpd %xmm0, %xmm2
- andpd %xmm5, %xmm0
- orpd %xmm2, %xmm3
- orpd %xmm0, %xmm1
- movapd coeff_table(%rip), %xmm5
- movl $5462, %eax
- movapd 16+coeff_table(%rip), %xmm6
- mull %edx
- movq %r9, %rdx
- andq $2047, %r9
- shrl $14, %eax
- andl $2048, %edx
- subq %rax, %r9
- subq %rax, %r9
- subq %rax, %r9
- shlq $8, %r9
- addl $682, %eax
- orl %edx, %eax
- movd %eax, %xmm7
- addq %r9, %rcx
- psllq $52, %xmm7
- .L_2TAG_PACKET_2.0.1:
- movapd 32+coeff_table(%rip), %xmm2
- movapd 48+coeff_table(%rip), %xmm0
- subsd %xmm3, %xmm1
- movq %xmm7, %xmm3
- lea cbrt_table(%rip), %r8
- mulsd (%rcx,%r8), %xmm7
- mulsd %xmm4, %xmm1
- lea D_table(%rip), %r8
- mulsd (%rcx,%r8), %xmm3
- movapd %xmm1, %xmm4
- unpcklpd %xmm1, %xmm1
- mulpd %xmm1, %xmm5
- mulpd %xmm1, %xmm6
- mulpd %xmm1, %xmm1
- addpd %xmm5, %xmm2
- addpd %xmm6, %xmm0
- mulpd %xmm1, %xmm2
- mulpd %xmm1, %xmm1
- mulsd %xmm7, %xmm4
- addpd %xmm2, %xmm0
- mulsd %xmm0, %xmm1
- unpckhpd %xmm0, %xmm0
- addsd %xmm1, %xmm0
- mulsd %xmm4, %xmm0
- addsd %xmm3, %xmm0
- addsd %xmm7, %xmm0
- jmp ..B1.4
- .L_2TAG_PACKET_0.0.1:
- mulsd SCALE63(%rip), %xmm0
- movq %xmm0, %xmm7
- movl $524032, %edx
- psrlq $44, %xmm7
- pextrw $0, %xmm7, %ecx
- movd %xmm7, %eax
- andl $248, %ecx
- lea rcp_table(%rip), %r8
- movsd (%rcx,%r8), %xmm4
- movq %rax, %r9
- andl %eax, %edx
- shrl $8, %edx
- shrq $8, %r9
- cmpl $0, %edx
- je .L_2TAG_PACKET_3.0.1
- andpd %xmm0, %xmm2
- andpd %xmm5, %xmm0
- orpd %xmm2, %xmm3
- orpd %xmm0, %xmm1
- movapd coeff_table(%rip), %xmm5
- movl $5462, %eax
- movapd 16+coeff_table(%rip), %xmm6
- mull %edx
- movq %r9, %rdx
- andq $2047, %r9
- shrl $14, %eax
- andl $2048, %edx
- subq %rax, %r9
- subq %rax, %r9
- subq %rax, %r9
- shlq $8, %r9
- addl $661, %eax
- orl %edx, %eax
- movd %eax, %xmm7
- addq %r9, %rcx
- psllq $52, %xmm7
- jmp .L_2TAG_PACKET_2.0.1
- .L_2TAG_PACKET_3.0.1:
- cmpq $0, %r9
- jne .L_2TAG_PACKET_4.0.1
- xorpd %xmm0, %xmm0
- jmp ..B1.4
- .L_2TAG_PACKET_4.0.1:
- movsd ZERON(%rip), %xmm0
- jmp ..B1.4
- .L_2TAG_PACKET_1.0.1:
- movl 4(%rsp), %eax
- movl (%rsp), %edx
- movl %eax, %ecx
- andl $2147483647, %ecx
- cmpl $2146435072, %ecx
- ja .L_2TAG_PACKET_5.0.1
- cmpl $0, %edx
- jne .L_2TAG_PACKET_5.0.1
- cmpl $2146435072, %eax
- jne .L_2TAG_PACKET_6.0.1
- movsd INF(%rip), %xmm0
- jmp ..B1.4
- .L_2TAG_PACKET_6.0.1:
- movsd NEG_INF(%rip), %xmm0
- jmp ..B1.4
- .L_2TAG_PACKET_5.0.1:
- movsd (%rsp), %xmm0
- addsd %xmm0, %xmm0
- movq %xmm0, 8(%rsp)
- .L_2TAG_PACKET_7.0.1:
- ..B1.4:
- addq $24, %rsp
- .cfi_def_cfa_offset 8
- ret
- .align 16,0x90
- .cfi_endproc
- .type cbrt,@function
- .size cbrt,.-cbrt
- .data
- # -- End cbrt
- .section .rodata, "a"
- .align 16
- .align 16
- coeff_table:
- .long 1553778919
- .long 3213899486
- .long 3534952507
- .long 3215266280
- .long 1646371399
- .long 3214412045
- .long 477218588
- .long 3216798151
- .long 3582521621
- .long 1066628362
- .long 1007461464
- .long 1068473053
- .long 889629714
- .long 1067378449
- .long 1431655765
- .long 1070945621
- .type coeff_table,@object
- .size coeff_table,64
- .align 4
- EXP_MSK3:
- .long 4294967295
- .long 1048575
- .type EXP_MSK3,@object
- .size EXP_MSK3,8
- .align 4
- EXP_MSK2:
- .long 0
- .long 3220193280
- .type EXP_MSK2,@object
- .size EXP_MSK2,8
- .align 4
- EXP_MASK:
- .long 0
- .long 3220176896
- .type EXP_MASK,@object
- .size EXP_MASK,8
- .align 4
- SIG_MASK:
- .long 0
- .long 1032192
- .type SIG_MASK,@object
- .size SIG_MASK,8
- .align 4
- rcp_table:
- .long 528611360
- .long 3220144632
- .long 2884679527
- .long 3220082993
- .long 1991868891
- .long 3220024928
- .long 2298714891
- .long 3219970134
- .long 58835168
- .long 3219918343
- .long 3035110223
- .long 3219869313
- .long 1617585086
- .long 3219822831
- .long 2500867033
- .long 3219778702
- .long 4241943008
- .long 3219736752
- .long 258732970
- .long 3219696825
- .long 404232216
- .long 3219658776
- .long 2172167368
- .long 3219622476
- .long 1544257904
- .long 3219587808
- .long 377579543
- .long 3219554664
- .long 1616385542
- .long 3219522945
- .long 813783277
- .long 3219492562
- .long 3940743189
- .long 3219463431
- .long 2689777499
- .long 3219435478
- .long 1700977147
- .long 3219408632
- .long 3169102082
- .long 3219382828
- .long 327235604
- .long 3219358008
- .long 1244336319
- .long 3219334115
- .long 1300311200
- .long 3219311099
- .long 3095471925
- .long 3219288912
- .long 2166487928
- .long 3219267511
- .long 2913108253
- .long 3219246854
- .long 293672978
- .long 3219226904
- .long 288737297
- .long 3219207624
- .long 1810275472
- .long 3219188981
- .long 174592167
- .long 3219170945
- .long 3539053052
- .long 3219153485
- .long 2164392968
- .long 3219136576
- .type rcp_table,@object
- .size rcp_table,256
- .align 4
- cbrt_table:
- .long 572345495
- .long 1072698681
- .long 1998204467
- .long 1072709382
- .long 3861501553
- .long 1072719872
- .long 2268192434
- .long 1072730162
- .long 2981979308
- .long 1072740260
- .long 270859143
- .long 1072750176
- .long 2958651392
- .long 1072759916
- .long 313113243
- .long 1072769490
- .long 919449400
- .long 1072778903
- .long 2809328903
- .long 1072788162
- .long 2222981587
- .long 1072797274
- .long 2352530781
- .long 1072806244
- .long 594152517
- .long 1072815078
- .long 1555767199
- .long 1072823780
- .long 4282421314
- .long 1072832355
- .long 2355578597
- .long 1072840809
- .long 1162590619
- .long 1072849145
- .long 797864051
- .long 1072857367
- .long 431273680
- .long 1072865479
- .long 2669831148
- .long 1072873484
- .long 733477752
- .long 1072881387
- .long 4280220604
- .long 1072889189
- .long 801961634
- .long 1072896896
- .long 2915370760
- .long 1072904508
- .long 1159613482
- .long 1072912030
- .long 2689944798
- .long 1072919463
- .long 1248687822
- .long 1072926811
- .long 2967951030
- .long 1072934075
- .long 630170432
- .long 1072941259
- .long 3760898254
- .long 1072948363
- .long 0
- .long 1072955392
- .long 2370273294
- .long 1072962345
- .long 1261754802
- .long 1072972640
- .long 546334065
- .long 1072986123
- .long 1054893830
- .long 1072999340
- .long 1571187597
- .long 1073012304
- .long 1107975175
- .long 1073025027
- .long 3606909377
- .long 1073037519
- .long 1113616747
- .long 1073049792
- .long 4154744632
- .long 1073061853
- .long 3358931423
- .long 1073073713
- .long 4060702372
- .long 1073085379
- .long 747576176
- .long 1073096860
- .long 3023138255
- .long 1073108161
- .long 1419988548
- .long 1073119291
- .long 1914185305
- .long 1073130255
- .long 294389948
- .long 1073141060
- .long 3761802570
- .long 1073151710
- .long 978281566
- .long 1073162213
- .long 823148820
- .long 1073172572
- .long 2420954441
- .long 1073182792
- .long 3815449908
- .long 1073192878
- .long 2046058587
- .long 1073202835
- .long 1807524753
- .long 1073212666
- .long 2628681401
- .long 1073222375
- .long 3225667357
- .long 1073231966
- .long 1555307421
- .long 1073241443
- .long 3454043099
- .long 1073250808
- .long 1208137896
- .long 1073260066
- .long 3659916772
- .long 1073269218
- .long 1886261264
- .long 1073278269
- .long 3593647839
- .long 1073287220
- .long 3086012205
- .long 1073296075
- .long 2769796922
- .long 1073304836
- .long 888716057
- .long 1073317807
- .long 2201465623
- .long 1073334794
- .long 164369365
- .long 1073351447
- .long 3462666733
- .long 1073367780
- .long 2773905457
- .long 1073383810
- .long 1342879088
- .long 1073399550
- .long 2543933975
- .long 1073415012
- .long 1684477781
- .long 1073430209
- .long 3532178543
- .long 1073445151
- .long 1147747300
- .long 1073459850
- .long 1928031793
- .long 1073474314
- .long 2079717015
- .long 1073488553
- .long 4016765315
- .long 1073502575
- .long 3670431139
- .long 1073516389
- .long 3549227225
- .long 1073530002
- .long 11637607
- .long 1073543422
- .long 588220169
- .long 1073556654
- .long 2635407503
- .long 1073569705
- .long 2042029317
- .long 1073582582
- .long 1925128962
- .long 1073595290
- .long 4136375664
- .long 1073607834
- .long 759964600
- .long 1073620221
- .long 4257606771
- .long 1073632453
- .long 297278907
- .long 1073644538
- .long 3655053093
- .long 1073656477
- .long 2442253172
- .long 1073668277
- .long 1111876799
- .long 1073679941
- .long 3330973139
- .long 1073691472
- .long 3438879452
- .long 1073702875
- .long 3671565478
- .long 1073714153
- .long 1317849547
- .long 1073725310
- .long 1642364115
- .long 1073736348
- .type cbrt_table,@object
- .size cbrt_table,768
- .align 4
- D_table:
- .long 4050900474
- .long 1014427190
- .long 1157977860
- .long 1016444461
- .long 1374568199
- .long 1017271387
- .long 2809163288
- .long 1016882676
- .long 3742377377
- .long 1013168191
- .long 3101606597
- .long 1017541672
- .long 65224358
- .long 1017217597
- .long 2691591250
- .long 1017266643
- .long 4020758549
- .long 1017689313
- .long 1316310992
- .long 1018030788
- .long 1031537856
- .long 1014090882
- .long 3261395239
- .long 1016413641
- .long 886424999
- .long 1016313335
- .long 3114776834
- .long 1014195875
- .long 1681120620
- .long 1017825416
- .long 1329600273
- .long 1016625740
- .long 465474623
- .long 1017097119
- .long 4251633980
- .long 1017169077
- .long 1986990133
- .long 1017710645
- .long 752958613
- .long 1017159641
- .long 2216216792
- .long 1018020163
- .long 4282860129
- .long 1015924861
- .long 1557627859
- .long 1016039538
- .long 3889219754
- .long 1018086237
- .long 3684996408
- .long 1017353275
- .long 723532103
- .long 1017717141
- .long 2951149676
- .long 1012528470
- .long 831890937
- .long 1017830553
- .long 1031212645
- .long 1017387331
- .long 2741737450
- .long 1017604974
- .long 2863311531
- .long 1003776682
- .long 4276736099
- .long 1013153088
- .long 4111778382
- .long 1015673686
- .long 1728065769
- .long 1016413986
- .long 2708718031
- .long 1018078833
- .long 1069335005
- .long 1015291224
- .long 700037144
- .long 1016482032
- .long 2904566452
- .long 1017226861
- .long 4074156649
- .long 1017622651
- .long 25019565
- .long 1015245366
- .long 3601952608
- .long 1015771755
- .long 3267129373
- .long 1017904664
- .long 503203103
- .long 1014921629
- .long 2122011730
- .long 1018027866
- .long 3927295461
- .long 1014189456
- .long 2790625147
- .long 1016024251
- .long 1330460186
- .long 1016940346
- .long 4033568463
- .long 1015538390
- .long 3695818227
- .long 1017509621
- .long 257573361
- .long 1017208868
- .long 3227697852
- .long 1017337964
- .long 234118548
- .long 1017169577
- .long 4009025803
- .long 1017278524
- .long 1948343394
- .long 1017749310
- .long 678398162
- .long 1018144239
- .long 3083864863
- .long 1016669086
- .long 2415453452
- .long 1017890370
- .long 175467344
- .long 1017330033
- .long 3197359580
- .long 1010339928
- .long 2071276951
- .long 1015941358
- .long 268372543
- .long 1016737773
- .long 938132959
- .long 1017389108
- .long 1816750559
- .long 1017337448
- .long 4119203749
- .long 1017152174
- .long 2578653878
- .long 1013108497
- .long 2470331096
- .long 1014678606
- .long 123855735
- .long 1016553320
- .long 1265650889
- .long 1014782687
- .long 3414398172
- .long 1017182638
- .long 1040773369
- .long 1016158401
- .long 3483628886
- .long 1016886550
- .long 4140499405
- .long 1016191425
- .long 3893477850
- .long 1016964495
- .long 3935319771
- .long 1009634717
- .long 2978982660
- .long 1015027112
- .long 2452709923
- .long 1017990229
- .long 3190365712
- .long 1015835149
- .long 4237588139
- .long 1015832925
- .long 2610678389
- .long 1017962711
- .long 2127316774
- .long 1017405770
- .long 824267502
- .long 1017959463
- .long 2165924042
- .long 1017912225
- .long 2774007076
- .long 1013257418
- .long 4123916326
- .long 1017582284
- .long 1976417958
- .long 1016959909
- .long 4092806412
- .long 1017711279
- .long 119251817
- .long 1015363631
- .long 3475418768
- .long 1017675415
- .long 1972580503
- .long 1015470684
- .long 815541017
- .long 1017517969
- .long 2429917451
- .long 1017397776
- .long 4062888482
- .long 1016749897
- .long 68284153
- .long 1017925678
- .long 2207779246
- .long 1016320298
- .long 1183466520
- .long 1017408657
- .long 143326427
- .long 1017060403
- .type D_table,@object
- .size D_table,768
- .align 4
- SCALE63:
- .long 0
- .long 1138753536
- .type SCALE63,@object
- .size SCALE63,8
- .align 4
- ZERON:
- .long 0
- .long 2147483648
- .type ZERON,@object
- .size ZERON,8
- .align 4
- INF:
- .long 0
- .long 2146435072
- .type INF,@object
- .size INF,8
- .align 4
- NEG_INF:
- .long 0
- .long 4293918720
- .type NEG_INF,@object
- .size NEG_INF,8
- .data
- .section .note.GNU-stack, ""
- // -- Begin DWARF2 SEGMENT .eh_frame
- .section .eh_frame,"a",@progbits
- .eh_frame_seg:
- .align 1
- # End
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