1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
|
.file "cbrtl.s"
// Copyright (c) 2000 - 2004, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
// 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.
//
// * The name of Intel Corporation may not 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 INTEL OR ITS
// 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.
//
// Intel Corporation is the author of this code, and requests that all
// problem reports or change requests be submitted to it directly at
// http://www.intel.com/software/products/opensource/libraries/num.htm.
//
// History
//==============================================================
// 04/28/00 Initial version
// 05/20/02 Cleaned up namespace and sf0 syntax
// 02/06/03 Reordered header:.section,.global,.proc,.align
// 11/23/04 Reformatted routine and improved speed
//
// API
//==============================================================
// long double cbrtl(long double)
//
// Overview of operation
//==============================================================
// Background
//
// Implementation
//
// The result is computed as
// cbrt(x)= cbrt(1 - (1 - x*y)) * (1/cbrt(y))
// where y = frcpa(x) = (-1)^sgn_y * 2^(3*k+j) * m_y,
// m_y in [1,2), j in {0,1,2}
//
// cbrt(1 - (1 - x*y)) is approximated by a degree-6 polynomial
// in r= 1 - x*y :
// P = 1 - c_1 r - c_2 * r^2 - c_3 * r^3 - c_4 * r^4 - c_5 * r^5 - c_6 * r^6
//
//
// The values (1/cbrt(y)) are stored as two tables of constants T_hi
// (double-extended precision) and D (single precision) as follows:
// T_hi (1 + D)= 1/cbrt(y) to about 80 bits of accuracy
//
// The tables are only stored for three exponent values (i.e.
// only for 2^j * m_y, where j in {0,1,2} and m_y covers the 256
// possible mantissas for an frcpa result); the index is formed
// by the 8 leading mantissa bits of x, which is the same index used
// by the hardware to get frcpa(x).
//
// The table values are multiplied by 2^k where e is the exponent of
// the input number. This multiplication is carried out in parallel with
// the polynomial evaluation:
// T= 2^(k) * T_hi
//
//=======================================================================
//===============
// Special values
//==============================================================
// Registers used
//==============================================================
// p6, p7, p12
FR_R = f6
FR_C1 = f7
FR_C2 = f9
FR_C3 = f10
FR_C4 = f11
FR_C5 = f12
FR_C6 = f13
FR_XNORM = f14
FR_D = f15
FR_SPECIAL = f32
FR_RCP = f33
FR_R2 = f34
FR_P1 = f35
FR_P2 = f36
FR_P3 = f37
FR_P4 = f38
FR_P5 = f39
FR_R3 = f40
FR_T = f41
FR_TF = f42
FR_P = f43
FR_SGNEXP = f44
GR_ADDR = r2
GR_C_START = r2
GR_ARGSIG = r3
GR_NORMSIG = r15
GR_D_ADDR = r16
GR_D_START = r16
GR_INDEX2 = r17
GR_IX2 = r17
GR_NORMEXP = r18
GR_EXP5 = r19
GR_EXP3 = r20
GR_EXP6 = r20
GR_EXP17 = r21
GR_TMP1 = r21
GR_SGNMASK = r22
GR_T_INDEX = r23
GR_IX_T = r23
GR_IX_D = r24
GR_D_INDEX = r24
GR_TMP2 = r25
GR_TMP3 = r25
GR_TMP4 = r25
GR_EXP_RES = r26
GR_BIAS23 = r27
GR_EXPBIAS = r27
GR_EXP_MOD_3 = r28
GR_SIGN = r29
GR_EXPSIGNRES = r29
GR_REMTMP = r30
GR_NORMEXPSGN = r31
// Data tables
//==============================================================
RODATA
.align 16
LOCAL_OBJECT_START(poly_coeffs)
data8 0xaaaaaaaaaaaaaab1, 0x00003ffd // C_1
data8 0xe38e38e38e38e3e0, 0x00003ffb // C_2
data8 0x3faf9add3c0be9a6, 0x3fa511e8d2b1f749 // C_3, C_4
data8 0x3f9ee71b2c6ebe99, 0x3f9809180fd0340c // C_5, C_6
LOCAL_OBJECT_END(poly_coeffs)
LOCAL_OBJECT_START(T_table)
data8 0x80155c748c374836, 0x8040404b0879f7f9
data8 0x806b5dce4b405c10, 0x8096b586974669b1
data8 0x80bcd273d952a028, 0x80e898c52813f2f3
data8 0x81149add67c2d208, 0x813b4e2c856b6e9a
data8 0x8167c1dde03de7aa, 0x818ed973b811135e
data8 0x81bbc0c33e13ec98, 0x81e33e69fbe7504a
data8 0x820aec524e3c23e9, 0x823880f78e70b805
data8 0x826097a62a8e5200, 0x8288dfe00e9b5eaf
data8 0x82b15a10c5371624, 0x82da06a527b18937
data8 0x8302e60b635ab394, 0x832bf8b2feec2f0e
data8 0x83553f0ce00e276b, 0x837eb98b50f8322a
data8 0x83a270f44c84f699, 0x83cc4d7cfcfac5ca
data8 0x83f65f78a8872b4c, 0x8420a75f2f7b53c8
data8 0x844510461ff14209, 0x846fbd91b930bed2
data8 0x84947e18234f3294, 0x84bf92755825045a
data8 0x84e4ac0ee112ba51, 0x8509ef44b86f20be
data8 0x85359d5d91768427, 0x855b3bd5b7384357
data8 0x858104f0c415f79a, 0x85a6f90390d29864
data8 0x85d3772fcd56a1dd, 0x85f9c982fcc002f3
data8 0x862047e0e7ea554b, 0x8646f2a26f7f5852
data8 0x866dca21754096b5, 0x8694ceb8dfd17a37
data8 0x86bc00c49e9307e8, 0x86dccd74fce79610
data8 0x870453c845acf90f, 0x872c089a1e90342c
data8 0x8753ec4a92d16c5e, 0x877bff3aca19f6b4
data8 0x879d88b6fe1c324c, 0x87c5f346dbf98c3a
data8 0x87e7c653efacef2c, 0x881089d4e73ffefc
data8 0x88397e6a366f2a8a, 0x885bc559e5e1c081
data8 0x887e2ee392bb7a93, 0x88a7a8587e404257
data8 0x88ca5eda67594784, 0x88f4356166bd590e
data8 0x89173a0acf5ce026, 0x893a62a098b6a57b
data8 0x895daf637236ae2c, 0x89883b9d1c2fa9c5
data8 0x89abd8dd374a5d7b, 0x89cf9b1dcd197fa0
data8 0x89f382a258ea79de, 0x8a178faf06648f29
data8 0x8a3bc288b3e1d18a, 0x8a601b74f4d1f835
data8 0x8a849aba14274764, 0x8aa9409f16cdbc9b
data8 0x8ace0d6bbe2cb316, 0x8af301688ab33558
data8 0x8b181cdebe6f3206, 0x8b3d60185fafcb7c
data8 0x8b62cb603bb2fad0, 0x8b80d7d6bc4104de
data8 0x8ba68bf73ac74f39, 0x8bcc68fb9f9f7335
data8 0x8bf26f31c534fca2, 0x8c10f86e13a1a1f9
data8 0x8c3749916cc6abb5, 0x8c5dc4c4f7706032
data8 0x8c7cac3a8c42e3e0, 0x8ca373f1b7bf2716
data8 0x8cc29907fb951294, 0x8ce9ae4e9492aac8
data8 0x8d0911dddbfdad0e, 0x8d3075c4f20f04ee
data8 0x8d5018a9d4de77d5, 0x8d77cc47dd143515
data8 0x8d97af6352739cb7, 0x8db7af523167800f
data8 0x8ddfd80bc68c32ff, 0x8e00197e1e7c88fe
data8 0x8e207859f77e20e7, 0x8e40f4ce60c9f8e2
data8 0x8e69ba46cf2fde4d, 0x8e8a7a00bd7ae63e
data8 0x8eab57ef1cf2f529, 0x8ecc5442cffb1dad
data8 0x8eed6f2d2a4acbfe, 0x8f0ea8dff24441ff
data8 0x8f385c95d696b817, 0x8f59dc43edd930f3
data8 0x8f7b7b5f5ffad1c4, 0x8f9d3a1bea165f38
data8 0x8fbf18adc34b66da, 0x8fe117499e356095
data8 0x90033624aa685f8d, 0x9025757495f36b86
data8 0x903f3a5dcc091203, 0x9061b2fceb2bdbab
data8 0x90844ca7211032a7, 0x90a7079403e6a15d
data8 0x90c9e3fbafd63799, 0x90ece216c8a16ee4
data8 0x9110021e7b516f0a, 0x912a708a39be9075
data8 0x914dcc7b31146370, 0x91714af8cfe984d5
data8 0x918c00a6f3795e97, 0x91afbc299ed0295d
data8 0x91d39add3e958db0, 0x91ee9920a8974d92
data8 0x9212b5fcac537c19, 0x9236f6b256923fcf
data8 0x92523ee6f90dcfc3, 0x9276bef031e6eb79
data8 0x929236ec237a24ad, 0x92b6f70b7efe9dc3
data8 0x92d29f61eec7dc2b, 0x92f7a05d5b8ba92f
data8 0x931379a403be5c16, 0x9338bc44de2e3f34
data8 0x9354c71412c69486, 0x937a4c273907e262
data8 0x93968919f6e7975d, 0x93bc516fdd4680c9
data8 0x93d8c123d9be59b2, 0x93f546c955e60076
data8 0x941b70a65879079f, 0x943829f337410591
data8 0x9454f995765bc4d2, 0x947b86b57f5842ed
data8 0x94988aeb23470f86, 0x94b5a5dc9695f42a
data8 0x94d2d7a9170d8b42, 0x94f9e87dd78bf019
data8 0x95175019a503d89e, 0x9534cefa625fcb3a
data8 0x955265405c491a25, 0x9570130c1f9bb857
data8 0x9597ca4119525184, 0x95b5af6fb5aa4d3c
data8 0x95d3ac9273aafd7a, 0x95f1c1cafdfd3684
data8 0x960fef3b430b8d5f, 0x962e350575b409c5
data8 0x964c934c0dfc1708, 0x966b0a31c9c6bc7d
data8 0x968999d9ad8d264e, 0x96a8426705198795
data8 0x96c703fd64445ee5, 0x96e5dec0a7b4268d
data8 0x9704d2d4f59f79f3, 0x9723e05ebe91b9b0
data8 0x97430782be323831, 0x97624865fc0df8bf
data8 0x9781a32dcc640b2a, 0x97a117ffd0f48e46
data8 0x97c0a701f9d263c9, 0x97e0505a8637a036
data8 0x97f57a9fb0b08c6e, 0x9815503365914a9d
data8 0x98354085054fd204, 0x98554bbbf8a77902
data8 0x987571fffb7f94f6, 0x9895b3791dd03c23
data8 0x98ab43a5fc65d0c8, 0x98cbb2d196bd713d
data8 0x98ec3d9ec7b6f21a, 0x990ce436db5e8344
data8 0x9922b8218160967a, 0x99438d686f75779d
data8 0x99647eea131fa20b, 0x997a85045a47c6d0
data8 0x999ba5f14f8add02, 0x99bce38b5465ecae
data8 0x99d31ca0887f30f9, 0x99f48a669c74c09e
data8 0x9a16154eb445c873, 0x9a2c822ec198d667
data8 0x9a4e3e080cd91b78, 0x9a70177afe52322e
data8 0x9a86b8fa94eebe10, 0x9aa8c42866ae2958
data8 0x9abf86f9e12fc45e, 0x9ae1c462fc05f49d
data8 0x9af8a8dc936b84d0, 0x9b1b19033be35730
data8 0x9b3da7daf04c2892, 0x9b54c2e4c8a9012b
data8 0x9b77854e6c661200, 0x9b8ec2e678d56d2f
data8 0x9ba60e6a5ca133b6, 0x9bc919ea66a151a4
data8 0x9be0887c09ef82bb, 0x9c03c8d5fffc3503
data8 0x9c1b5ad21a81cbb9, 0x9c3ed09216e9ca02
data8 0x9c568656c0423def, 0x9c7a320af242ce60
data8 0x9c920bf7a8c01dc2, 0x9ca9f475d98b159c
data8 0x9ccdeca60e80b5f8, 0x9ce5f9d4653d4902
data8 0x9cfe15cb38bfdd8e, 0x9d225b983f6c1f96
data8 0x9d3a9cca32261ed7, 0x9d52ecfccebe1768
data8 0x9d77818d95b82f86, 0x9d8ff7893fa4706c
data8 0x9da87cbef36f2a5e, 0x9dcd6140b4a35aeb
data8 0x9de60cd06dc6e2d4, 0x9dfec7d4cc43b76f
data8 0x9e17925ec9fccc4a, 0x9e3cdf6db57dc075
data8 0x9e55d110b63637a8, 0x9e6ed27594550d2e
data8 0x9e87e3adc385d393, 0x9ead9b54b37a1055
data8 0x9ec6d46a3d7de215, 0x9ee01d9108be3154
data8 0x9ef976db07288d04, 0x9f12e05a4759ec25
data8 0x9f2c5a20f4da6668, 0x9f52af78ed1733ca
data8 0x9f6c52426a39d003, 0x9f860593d42fd7f3
data8 0x9f9fc97fdb96bd51, 0x9fb99e194f4a7037
data8 0x9fd383731ca51db9, 0x9fed79a04fbf9423
data8 0xa00780b413b24ee8, 0xa02eab2c4474b0cd
data8 0xa048dcd51ccfd142, 0xa0631fa894b11b8d
data8 0xa07d73ba65e680af, 0xa097d91e6aaf71b0
data8 0xa0b24fe89e02602f, 0xa0ccd82d1bd2f68b
data8 0xa0e77200215909e6, 0xa1021d760d584855
data8 0xa11cdaa36068a57d, 0xa137a99cbd3f880b
data8 0xa160019ed37fb4ae, 0xa1960b5966da4608
data8 0xa1cc5dbe6dc2aab4, 0xa202f97995b69c0d
data8 0xa232fe6eb0c0577d, 0xa26a2582012f6e17
data8 0xa2a197e5d10465cb, 0xa2d25a532efefbc8
data8 0xa30a5bd6e49e4ab8, 0xa33b9c9b59879e24
data8 0xa3742fca6a3c1f21, 0xa3a5f1273887bf22
data8 0xa3d7ef508ff11574, 0xa4115ce30548bc15
data8 0xa443df0e53df577a, 0xa4769fa5913c0ec3
data8 0xa4a99f303bc7def5, 0xa4dcde37779adf4b
data8 0xa5105d46152c938a, 0xa5441ce89825cb8d
data8 0xa5781dad3e54d899, 0xa5ac602406c4e68c
data8 0xa5d9601d95c2c0bc, 0xa60e1e1a2de14745
data8 0xa6431f6e3fbd9658, 0xa67864b0d432fda4
data8 0xa6a6444aa0243c0b, 0xa6dc094d10f25792
data8 0xa70a574cc02bba69, 0xa7409e2af9549084
data8 0xa76f5c64ca2cf13b, 0xa79e4f0babab5dc0
data8 0xa7d5579ae5164b85, 0xa804bd3c6fe61cc8
data8 0xa8345895e5250a5a, 0xa8642a122b44ef0b
data8 0xa89c38ca18f6108b, 0xa8cc81063b6e87ca
data8 0xa8fd00bfa409285e, 0xa92db8664d5516da
data8 0xa95ea86b75cc2c20, 0xa98fd141a4992deb
data8 0xa9c1335cae7446ba, 0xa9ea8686f556f645
data8 0xaa1c52d17906bb19, 0xaa4e59b046dab887
data8 0xaa809b9c60d1890b, 0xaab319102f3f9b33
data8 0xaadd5a18c1e21274, 0xab1045f2ac31bdf5
data8 0xab3ae3ab2df7231e, 0xab6e3f945d1e96fc
data8 0xaba1d953a08fa94e, 0xabcd090db7ef4c3f
data8 0xabf864602d7c323d, 0xac2ca5886ccf9b57
data8 0xac5861d4aa441f0f, 0xac8d183fe3a2fbed
data8 0xacb93703ff51571e, 0xace5830ad0c3f14b
data8 0xad11fca5d78b3ff2, 0xad4797fddf91a798
data8 0xad747701e559ebcb, 0xada184a47e9c7613
data8 0xadcec13ab0dda8ff, 0xadfc2d1a5fd21ba8
data8 0xae29c89a5053c33a, 0xae5794122b638df9
data8 0xae858fda8137ae0a, 0xaeb3bc4ccc56d3d1
data8 0xaee219c374c09920, 0xaf10a899d3235fe7
data8 0xaf3f692c341fe8b4, 0xaf6e5bd7db9ae6c2
data8 0xaf9d80fb081cd91b, 0xafc35ce063eb3787
data8 0xaff2ddcb5f28f03d, 0xb022923b148e05c5
data8 0xb0527a919adbf58b, 0xb078f3ab1d701c65
data8 0xb0a93a6870649f31, 0xb0d9b624d62ec856
data8 0xb100a5f53fb3c8e1, 0xb131821882f5540a
data8 0xb158bf8e4cb04055, 0xb189fd69d56b238f
data8 0xb1b189958e8108e4, 0xb1e32a8165b09832
data8 0xb20b0678fc271eec, 0xb23d0bd3f7592b6e
data8 0xb26538b2db8420dc, 0xb28d89e339ceca14
data8 0xb2c022ca12e55a16, 0xb2e8c6852c6b03f1
data8 0xb3118f4eda9fe40f, 0xb33a7d6268109ebe
data8 0xb36ddbc5ea70ec55, 0xb3971e9b39264023
data8 0xb3c0877ecc18e24a, 0xb3ea16ae3a6c905f
data8 0xb413cc67aa0e4d2d, 0xb43da8e9d163e1af
data8 0xb47233773b84d425, 0xb49c6825430fe730
data8 0xb4c6c46bcdb27dcf, 0xb4f1488c0b35d26f
data8 0xb51bf4c7c51f0168, 0xb546c9616087ab9c
data8 0xb571c69bdffd9a70, 0xb59cecbae56984c3
data8 0xb5bd64512bb14bb7, 0xb5e8d2a4bf5ba416
data8 0xb6146a9a1bc47819, 0xb6402c7749d621c0
data8 0xb66c1882fb435ea2, 0xb6982f048c999a56
data8 0xb6c47044075b4142, 0xb6e5bd6bfd02bafd
data8 0xb7124a2736ff8ef2, 0xb73f026a01e94177
data8 0xb760a959f1d0a7a7, 0xb78dae7e06868ab0
data8 0xb7badff8ad9e4e02, 0xb7dce25b8e17ae9f
data8 0xb80a6226904045e2, 0xb8380f1cafd73c1c
data8 0xb85a6ea8e321b4d8, 0xb8886b684ae7d2fa
data8 0xb8ab0726fa00cf5d, 0xb8d954a4d13b7cb1
data8 0xb8fc2d4f6cd9f04a, 0xb92acc851476b1ab
data8 0xb94de2d841a184c2, 0xb97cd4c36c92693c
data8 0xb9a0297f172665e3, 0xb9cf6f21e36c3924
data8 0xb9f3030951267208, 0xba229d6a618e7c59
data8 0xba467144459f9855, 0xba6a60c3c48f1a4b
data8 0xba9a76056b67ee7a, 0xbabea699563ada6e
data8 0xbae2f350b262cc4b, 0xbb1385a23be24e57
data8 0xbb3814975e17c680, 0xbb5cc031009bf467
data8 0xbb81889680024764, 0xbbb2c0d8703ae95d
data8 0xbbd7cd09ba3c5463, 0xbbfcf68c4977718f
data8 0xbc223d88cfc88eee, 0xbc47a2284fee4ff8
data8 0xbc79ac0916ed7b8a, 0xbc9f5670d1a13030
data8 0xbcc51f068cb95c1d, 0xbceb05f4b30a9bc0
data8 0xbd110b6604c7d306, 0xbd372f8598620f19
data8 0xbd5d727edb6b3c7e, 0xbd83d47d937bbc6d
data8 0xbdaa55addf1ae47d, 0xbdd0f63c36aa73f0
data8 0xbdf7b6556d550a15, 0xbe1e9626b1ffa96b
data8 0xbe4595dd903e5371, 0xbe6cb5a7f14bc935
data8 0xbe93f5b41d047cf7, 0xbebb5630bae4c15f
data8 0xbee2d74cd30a430c, 0xbf0a7937cf38d981
data8 0xbf323c217be2bc8c, 0xbf5a203a09342bbb
data8 0xbf74cad1c14ebfc4, 0xbf9ce6a497a89f78
data8 0xbfc52428bec6e72f, 0xbfed838fddab024b
data8 0xc016050c0420981a, 0xc03ea8cfabddc330
data8 0xc059d3cbd65ddbce, 0xc082b122a3c78c9d
data8 0xc0abb1499ae736c4, 0xc0d4d474c3aedaaf
data8 0xc0f054ca33eb3437, 0xc119b2c67e600ed0
data8 0xc1433453de2033ff, 0xc15ef3e44e10032d
data8 0xc188b130431d80e6, 0xc1b2929d6067730e
data8 0xc1ce9268f31cc734, 0xc1f8b0877c1b0c08
data8 0xc222f35a87b415ba, 0xc23f3467349e5c88
data8 0xc269b4e40e088c01, 0xc2945aac24daaf6e
data8 0xc2b0de05e43c1d66, 0xc2dbc275e1229d09
data8 0xc2f86fca9d80eeff, 0xc323938449a2587e
data8 0xc3406b40a538ed20, 0xc36bcee8211d15e0
data8 0xc397593adf2ba366, 0xc3b475b6206155d5
data8 0xc3e0410243b97383, 0xc3fd890709833d37
data8 0xc41ae295f7e7fa06, 0xc44709f7bb8a4dd2
data8 0xc4648fb0e0bec4c1, 0xc490f9a94695ba14
data8 0xc4aeac0173b7d390, 0xc4db5941007aa853
data8 0xc4f938aec206291a, 0xc52629e899dfd622
data8 0xc54436e44043b965, 0xc562563abf9ea07f
data8 0xc58fa7d1dc42921c, 0xc5adf561b91e110a
data8 0xc5cc5591bdbd82fa, 0xc5fa08f1ff20593c
data8 0xc618980a79ce6862, 0xc6373a09e34b50fa
data8 0xc66550a6e0baaf35, 0xc6842241926342c9
data8 0xc6a3070b7c93bb9e, 0xc6d18260bb84081b
data8 0xc6f0977c9416828b, 0xc70fc0117c641630
data8 0xc72efc34d7e615be, 0xc75dfb441594141e
data8 0xc77d68aa019bda4c, 0xc79ce9ea478dbc4f
data8 0xc7bc7f1ae453219d, 0xc7ec0476e15e141a
data8 0xc80bcbe16f1d540f, 0xc82ba78a5d349735
data8 0xc84b978847a06b87, 0xc86b9bf1ee817bc6
data8 0xc88bb4de3667cdf4, 0xc8bc00e7fe9e23a3
data8 0xc8dc4d7ff2d25232, 0xc8fcaeebcb40eb47
data8 0xc91d25431426a663, 0xc93db09d7fdb2949
data8 0xc95e5112e721582a, 0xc97f06bb49787677
data8 0xc99fd1aecd6e1b06, 0xc9d12a3e27bb1625
data8 0xc9f22ad82ba3d5f0, 0xca134113105e67b2
data8 0xca346d07b045a876, 0xca55aecf0e94bb88
data8 0xca77068257be9bab, 0xca98743ae1c693a8
data8 0xcab9f8122c99a101, 0xcadb9221e268c3b5
data8 0xcafd4283d8043dfd, 0xcb1f09520d37c6fb
data8 0xcb51ddcb9e93095e, 0xcb95f333968ad59b
data8 0xcbda64292d3ffd97, 0xcc1f3184af961596
data8 0xcc5bb1ac954d33e2, 0xcca12e9831fc6402
data8 0xcce70a67b64f24ad, 0xcd24794726477ea5
data8 0xcd6b096a0b70ee87, 0xcda9177738b15a90
data8 0xcdf05f2247dffab9, 0xce2f0f347f96f906
data8 0xce6e0be0cd551a61, 0xceb666b2c347d1de
data8 0xcef609b0cb874f00, 0xcf35fb5447e5c765
data8 0xcf763c47ee869f00, 0xcfb6cd3888d71785
data8 0xcff7aed4fbfbb447, 0xd038e1ce5167e3c6
data8 0xd07a66d7bfa0ebba, 0xd0bc3ea6b32d1b21
data8 0xd0f4f0e8f36c1bf8, 0xd1376458e34b037e
data8 0xd17a2ca133f78572, 0xd1bd4a80301c5715
data8 0xd1f71682b2fa4575, 0xd23ad555f773f059
data8 0xd2752c7039a5bf73, 0xd2b98ee008c06b59
data8 0xd2f4735ffd700280, 0xd32f99ed6d9ac0e1
data8 0xd374f0666c75d51c, 0xd3b0a7d13618e4a1
data8 0xd3eca2ea53bcec0c, 0xd428e23874f13a17
data8 0xd46f82fe293bc6d3, 0xd4ac57e9b7186420
data8 0xd4e972becb04e8b8, 0xd526d40a7a9b43a3
data8 0xd5647c5b73917370, 0xd5a26c4201bd6d13
data8 0xd5e0a45015350a7e, 0xd614b539c6194104
data8 0xd6537310e224283f, 0xd6927ab62244c917
data8 0xd6d1ccc1fc4ef4b7, 0xd71169cea98fdded
data8 0xd746a66a5bc9f6d9, 0xd786ce8f0fae5317
data8 0xd7bc7ff214c4e75a, 0xd7fd35467a517ed1
data8 0xd83e38838648d815, 0xd874a1db598b8951
data8 0xd8ab42205b80edaf, 0xd8ed1849d202f965
data8 0xd92432bd5a173685, 0xd9669ca45b03c23e
data8 0xd99e3327cf89574e, 0xd9d602b19b100466
data8 0xda0e0ba86c096841, 0xda5195fcdb1c3dce
data8 0xda8a1eb87a491f6c, 0xdac2e230b91c3f84
data8 0xdafbe0d0b66aea30, 0xdb351b04a8fafced
data8 0xdb6e9139e33cdd8e, 0xdba843ded7151ea1
data8 0xdbe2336319b61fc8, 0xdc1c60376789fa68
data8 0xdc56cacda82d0cd5, 0xdc917398f2797814
data8 0xdccc5b0d90a3e628, 0xdd0781a10469f0f2
data8 0xdd42e7ca0b52838f, 0xdd729ad01c69114d
data8 0xddae749c001fbf5e, 0xddea8f50a51c69b1
data8 0xde26eb69a0f0f111, 0xde576480262399bc
data8 0xde943789645933c8, 0xded14d58139a28af
data8 0xdf025c00bbf2b5c7, 0xdf3feb44d723a713
data8 0xdf715bc16c159be0, 0xdfaf66240e29cda8
data8 0xdfe139cbf6e19bdc, 0xe01fc0fe94d9fc52
data8 0xe051f92ffcc0bd60, 0xe090feec9c9a06ac
data8 0xe0c39d0c9ff862d6, 0xe0f668eeb99f188d
data8 0xe1362890eb663139, 0xe1695c7212aecbaa
data8 0xe19cbf0391bbbbe9, 0xe1d050901c531e85
data8 0xe2110903b4f4047a, 0xe2450559b4d80b6d
data8 0xe27931a231554ef3, 0xe2ad8e2ac3c5b04b
data8 0xe2e21b41b9694cce, 0xe316d93615862714
data8 0xe3590bd86a0d30f9, 0xe38e38e38e38e38e
data8 0xe3c397d1e6db7839, 0xe3f928f5953feb9e
data8 0xe42eeca17c62886c, 0xe464e32943446305
data8 0xe49b0ce15747a8a2, 0xe4d16a1eee94e9d4
data8 0xe4fa52107353f67d, 0xe5310a471f4d2dc3
data8 0xe567f6f1c2b9c224, 0xe59f18689a9e4c9a
data8 0xe5d66f04b8a68ecf, 0xe60dfb2005c192e9
data8 0xe645bd1544c7ea51, 0xe66fb21b505b20a0
data8 0xe6a7d32af4a7c59a, 0xe6e02b129c6a5ae4
data8 0xe70a9136a7403039, 0xe74349fb2d92a589
data8 0xe77c3a9c86ed7d42, 0xe7a713f88151518a
data8 0xe7e067453317ed2b, 0xe819f37a81871bb5
data8 0xe8454236bfaeca14, 0xe87f32f24c3fc90e
data8 0xe8aacd8688892ba6, 0xe8e523fd32f606f7
data8 0xe9110b5311407927, 0xe94bc8bf0c108fa3
data8 0xe977fdc439c2ca3c, 0xe9b3236528fc349e
data8 0xe9dfa70b745ac1b4, 0xea1b36268d0eaa38
data8 0xea480963fd394197, 0xea84034425f27484
data8 0xeab12713138dd1cc, 0xeade6db73a5e503b
data8 0xeb1b0268343b121b, 0xeb489b0b2bdb5f14
data8 0xeb765721e85f03d0, 0xebb389645f222f62
data8 0xebe198f090607e0c, 0xec0fcc9321024509
data8 0xec3e247da8b82f61, 0xec7c27d21321c9f7
data8 0xecaad5278824e453, 0xecd9a76d097d4e77
data8 0xed089ed5dcd99446, 0xed37bb95add09a1c
data8 0xed76c70508f904b6, 0xeda63bb05e7f93c6
data8 0xedd5d661daed2dc4, 0xee05974eef86b903
data8 0xee357ead791fc670, 0xee658cb3c134a463
data8 0xee95c1987f080211, 0xeec61d92d8c4314f
data8 0xeef6a0da64a014ac, 0xef274ba72a07c811
data8 0xef581e31a2c91260, 0xef8918b2bc43aec6
data8 0xefba3b63d89d7cbf, 0xefeb867ecffaa607
data8 0xf01cfa3df1b9c9fa, 0xf04e96dc05b43e2d
data8 0xf0805c944d827454, 0xf0b24ba285c495cb
data8 0xf0e46442e76f6569, 0xf116a6b2291d7896
data8 0xf1383fa9e9b5b381, 0xf16ac84f90083b9b
data8 0xf19d7b686dcb03d7, 0xf1d0593311db1757
data8 0xf20361ee8f1c711e, 0xf23695da7de51d3f
data8 0xf258d095e465cc35, 0xf28c4d0bfc982b34
data8 0xf2bff55eb3f0ea71, 0xf2f3c9cf9884636e
data8 0xf31670135ab9cc0f, 0xf34a8e9f0b54cdfb
data8 0xf37ed9fa6b8add3f, 0xf3a1cfe884ef6bb6
data8 0xf3d66689dcc8e8d3, 0xf40b2ab069d5c96a
data8 0xf42e718b90c8bc16, 0xf463822a0a3b4b00
data8 0xf498c1076015faf8, 0xf4bc5a19a33990b5
data8 0xf4f1e6a7d6f5425f, 0xf527a232cf6be334
data8 0xf54b8ecdcda90851, 0xf5819949c7ad87b4
data8 0xf5a5bac9213b48a9, 0xf5dc1501f324a812
data8 0xf6006bee86b5589e, 0xf63716b2fa067fa4
data8 0xf66df22fb6132b9c, 0xf6929fb98225deb1
data8 0xf6c9cd13021e3fea, 0xf6eeb177472cedae
data8 0xf713abf4cb0b3afb, 0xf74b4d5333684ef1
data8 0xf7707f75a72f8e94, 0xf7a874b97927af44
data8 0xf7cddf140aedf1d8, 0xf806291bacb7f7a9
data8 0xf82bcc43b92eafef, 0xf8646bf0defb759e
data8 0xf88a487dfc3ff5f7, 0xf8b03c2b46cdc17f
data8 0xf8e95541c152ae7a, 0xf90f832c2700c160
data8 0xf935c88e0c7f419b, 0xf96f5cd84fd86873
data8 0xf995dd53ebdd9d6d, 0xf9bc75a034436a41
data8 0xf9f686f26d5518de, 0xfa1d5b39b910a8c5
data8 0xfa4447acc4ecbfd2, 0xfa7ed7e51e6fdfb4
data8 0xfaa601394d49a1a0, 0xfacd431644ce0e40
data8 0xfaf49d96f7a75909, 0xfb2fd3c65e562fd5
data8 0xfb576c5762024805, 0xfb7f1debc22c4040
data8 0xfba6e89f32d0190a, 0xfbe2c803a0894893
data8 0xfc0ad1ff0ed9ecf0, 0xfc32f57bdfbcbe7f
data8 0xfc5b32968f99b21c, 0xfc83896bc861ab08
data8 0xfcabfa1861ed4815, 0xfce8d3cea7d3163e
data8 0xfd118595143ee273, 0xfd3a519943d4865a
data8 0xfd6337f8e1ae5a4b, 0xfd8c38d1c8e927eb
data8 0xfdb5544205095a53, 0xfdde8a67d2613531
data8 0xfe07db619e781611, 0xfe460768d80bf758
data8 0xfe6f9bfb06cd32f6, 0xfe994bcd3d14fcc2
data8 0xfec316fecaf3f2ab, 0xfeecfdaf33fadb80
data8 0xff16fffe2fa8fad6, 0xff411e0ba9db886d
data8 0xff6b57f7c33e4e9a, 0xff95ade2d1bd7358
data8 0xffc01fed60f86fb5, 0xffeaae3832b63956
LOCAL_OBJECT_END(T_table)
LOCAL_OBJECT_START(D_table)
data4 0x1e50f488, 0x1ebdc559, 0x1e649ec1, 0x9eed9b2c
data4 0x9e511c44, 0x9ec6d551, 0x9eefe248, 0x9e313854
data4 0x9f54ff18, 0x9d231411, 0x1ee5d63c, 0x9edf6b95
data4 0x9f332aaa, 0x1dc92a84, 0x1f73fb7b, 0x1e32f100
data4 0x9ea636f5, 0x9f6c3353, 0x9f405552, 0x1f33fd97
data4 0x1e975291, 0x9e59a11e, 0x1e47b0ba, 0x9d8ad33e
data4 0x1ea51bf6, 0x1f25d782, 0x9ecf534d, 0x1f55436f
data4 0x1d0975e4, 0x9f0633a1, 0x1f3e840a, 0x1f523a4c
data4 0x9f53cbbc, 0x9c8b5661, 0x9f6bc8eb, 0x1f4f6c7b
data4 0x9ed9b376, 0x9f5b30b6, 0x1f64fa5e, 0x1cbcc3e0
data4 0x1f343548, 0x1f62a6a2, 0x9f336abb, 0x9f1d15af
data4 0x1f476c83, 0x1ea86421, 0x1f33b2cf, 0x9e8f1348
data4 0x1f6fa829, 0x9f30ee3a, 0x9ebd6146, 0x1f2db598
data4 0x1ef9600d, 0x1f5b1427, 0x9edd741b, 0x1f51ef4e
data4 0x9f1aa57d, 0x9ee9b5e0, 0x9f17ecd7, 0x1ead71ff
data4 0x1f6c910e, 0x9e1837df, 0x9f0f17d9, 0x9e8350dd
data4 0x9d292f1b, 0x9e33b3ab, 0x9d6f0fe8, 0x9ed8c7cc
data4 0x9ec598c8, 0x9d56758c, 0x1e090c1e, 0x9ed4b941
data4 0x9f1fc4cf, 0x1f63513a, 0x9edd0abc, 0x1e3924dd
data4 0x1f60d56f, 0x1ea84424, 0x9e88f4fb, 0x1f205c09
data4 0x1ec9ae4e, 0x1d2d5738, 0x9f2c9f6d, 0x1e0765c2
data4 0x1e8bbdd7, 0x9f16d9f1, 0x9ea62627, 0x1f13904c
data4 0x1e566ab8, 0x9dca3d1a, 0x9e91f2a1, 0x9f14641c
data4 0x9f278946, 0x1f490c1e, 0x1f575eb6, 0x1f50b3fd
data4 0x9da32efb, 0x1ea95e59, 0x9e41e058, 0x9eada15f
data4 0x9e4fe66c, 0x1f3abc98, 0x1f1b8d1e, 0x9ece97e4
data4 0x1d188aed, 0x9e89b6ee, 0x1f287478, 0x9e8a161a
data4 0x1e4749f7, 0x9e68084a, 0x1e867f33, 0x9f462b63
data4 0x1db30792, 0x1f59a767, 0x9d1da4ae, 0x9f472a33
data4 0x1d1e91cd, 0x9f414824, 0x9f473d4f, 0x1f4b5783
data4 0x9f5b04b8, 0x9f5c205b, 0x1f309617, 0x9f0d6852
data4 0x9d96a609, 0x9f0965c2, 0x9e23f467, 0x9f089884
data4 0x9ec71458, 0x9ed6e955, 0x1e5e8691, 0x1f5b2bbc
data4 0x9f128268, 0x1ed40f5b, 0x1dc430ce, 0x1f345986
data4 0x1d778f72, 0x1e9b11d6, 0x9f5a40be, 0x9e07f61a
data4 0x9ed641a7, 0x9f334787, 0x1e952fd0, 0x1edeb5e2
data4 0x9e9f3eb1, 0x9e379fd9, 0x1f13102a, 0x9e5e80e1
data4 0x1c757944, 0x1dae2260, 0x1f183ab7, 0x1e55d576
data4 0x9e6bb99f, 0x9f52d7cb, 0x9e73a0f5, 0x1d4e1d14
data4 0x9dd05b53, 0x1f2261e4, 0x9d4ee73d, 0x1ede515e
data4 0x1f22a573, 0x9ecac348, 0x1e6a2ac0, 0x1e2787d2
data4 0x9eb64b87, 0x1f0c69c6, 0x9f470a01, 0x9d7c1686
data4 0x1e468ebe, 0x9f21ee2f, 0x9ee52116, 0x9e20f715
data4 0x1ed18533, 0x9f005b38, 0x9f20cb95, 0x1da72967
data4 0x1f1ba5d7, 0x1e2f8b16, 0x9c794f96, 0x9ca74ea3
data4 0x1f410555, 0x9eff2b96, 0x1ce8f0b1, 0x1f0cee77
data4 0x1f191edd, 0x9ed5fcbc, 0x1f30f242, 0x9e0ad369
data4 0x1ed8f3c8, 0x1f52bb0e, 0x9e9ce408, 0x1f18907f
data4 0x9ecdad40, 0x9e8af91d, 0x1d46698a, 0x9f4b93d6
data4 0x9f3f5d33, 0x1e2e52f7, 0x9f13aeec, 0x9f3b1969
data4 0x1f0996f4, 0x9f2a03df, 0x1e264767, 0x1f3ab1fb
data4 0x9f3193c9, 0x9f21ce22, 0x9eab624c, 0x9ecd8fb1
data4 0x1eaf9a85, 0x1f0c6a2c, 0x1eecbe61, 0x1f3fead9
data4 0x1f1d3a29, 0x1e9099ce, 0x1eadd875, 0x1e4dbfb8
data4 0x9dc640d2, 0x1f413680, 0x9f3f57b3, 0x1dfa1553
data4 0x1ec71c6b, 0x1e00cc00, 0x9f271e55, 0x1e5a88bb
data4 0x1f46cc2b, 0x1ee80ff9, 0x9e29c6f3, 0x1f15e229
data4 0x9ea83d66, 0x1f37408e, 0x9dacb66e, 0x1e6f6259
data4 0x9f106973, 0x1dd4e5ac, 0x1cbfdcc8, 0x9f231c9f
data4 0x9e8677e4, 0x9e9e695a, 0x1efd782b, 0x9dd26959
data4 0x9e80af69, 0x1f386fb3, 0x1f022e8c, 0x9e839967
data4 0x1ce6796f, 0x1e4c22c2, 0x1e57ef24, 0x1e919804
data4 0x9d7ea090, 0x1e40140a, 0x1f261b46, 0x1db75be2
data4 0x1f145019, 0x9e3102b9, 0x9e22507b, 0x1eae813c
data4 0x1f117e97, 0x1f282296, 0x1f3814b3, 0x1e17977b
data4 0x1f39d6ff, 0x9f1c81b9, 0x9eb5bcad, 0x1f0f596e
data4 0x1e757fd5, 0x9f090daa, 0x9f2532fc, 0x9eebafbb
data4 0x1f086556, 0x9eeedde8, 0x9f32e174, 0x1e33c030
data4 0x1f1f145a, 0x1e6e556c, 0x1e419ffb, 0x9eb6019a
data4 0x9e872a2e, 0x1e113136, 0x1e93096f, 0x1f39be40
data4 0x1f1665ad, 0x9db81d7d, 0x9cd29091, 0x1e3f4af7
data4 0x9f23176c, 0x9eccf9b3, 0x1f34fc6c, 0x9ed36894
data4 0x1ef08e06, 0x9f3b46bb, 0x9f2c850b, 0x1f1565a4
data4 0x1e887bc3, 0x1e92629c, 0x9f11ac9e, 0x9e5579f3
data4 0x1e4d5790, 0x9ee1c3d1, 0x9e916aec, 0x9eb8d9b8
data4 0x1db46105, 0x1e168663, 0x1f26a942, 0x9f0f0383
data4 0x9f079032, 0x9ecae1d8, 0x1ed3b34c, 0x9edc5ee6
data4 0x9e8a75a7, 0x1f3c3de2, 0x9ee5041e, 0x1f08c727
data4 0x1d02d7ae, 0x9f36adda, 0x9ef9a857, 0x9ef5cb3a
data4 0x9eee73da, 0x9da5d629, 0x1e0e99be, 0x1e5159b9
data4 0x1f2eac89, 0x9e8eedc5, 0x1dd0ec90, 0x1f229aff
data4 0x1ed9c3e6, 0x1e95c55a, 0x9f0c24e4, 0x1e8afed6
data4 0x1e599a96, 0x1e881b21, 0x1eab84b9, 0x9ba2bb0e
data4 0x9e33ab10, 0x1f1710b5, 0x1ebfa271, 0x9e90bbc5
data4 0x9f32515b, 0x9b32aae8, 0x1eda455c, 0x1da8186e
data4 0x9e8917ff, 0x1ec4d08e, 0x1c90069d, 0x9f2f1d29
data4 0x9ecee86d, 0x9f234d1f, 0x1f370724, 0x1da87496
data4 0x1e7959f0, 0x9e8ada34, 0x1f1c7f6f, 0x1edd576b
data4 0x9de91e8b, 0x1ec4ef89, 0x1f32078a, 0x1e9925e2
data4 0x9d8eeccb, 0x9ea3d011, 0x1f231fdf, 0x9f1dbdfa
data4 0x1e7507a3, 0x1ec42614, 0x9e8693cb, 0x9ec68398
data4 0x1d5b05fb, 0x1de32119, 0x9f003429, 0x9ec16d92
data4 0x9f095315, 0x9f119d2c, 0x9ed0c984, 0x9f090662
data4 0x9e59aa1f, 0x9ed4e64a, 0x9f2798a7, 0x9f23624d
data4 0x1e0467d9, 0x1f22e7e7, 0x1e915256, 0x9cb4df70
data4 0x9e6f687c, 0x9e3c35e5, 0x9e5757ab, 0x9f031fa1
data4 0x1f25bff7, 0x1f0e58c2, 0x1ef3ce04, 0x1f002ecb
data4 0x9ebdc836, 0x9ed657dd, 0x9f149441, 0x9e8544b2
data4 0x1cd8ff1e, 0x1e9bb463, 0x1eaa1c5c, 0x1f200c1a
data4 0x1edbfbaf, 0x1f18724d, 0x9ed63c22, 0x9f08e045
data4 0x1f13ad07, 0x9e949311, 0x9f0c50d4, 0x1e824516
data4 0x1d5e52ba, 0x1d583fbd, 0x1e3b60a9, 0x9effe6d3
data4 0x1f0d0508, 0x1f00be77, 0x9e404bfa, 0x9e1ca381
data4 0x9f084dd8, 0x9e6db85d, 0x1db698e4, 0x9ebd1871
data4 0x9ecc2679, 0x1ee68442, 0x1edb1050, 0x9dbc96a4
data4 0x9f27c1f4, 0x1c99b756, 0x1eb4400a, 0x9f24390a
data4 0x1d927875, 0x9f074faa, 0x1e9dc2c3, 0x1f13c0d2
data4 0x1e3c9685, 0x9e6b6f75, 0x9db9cb31, 0x1ea5f3aa
data4 0x9d992c61, 0x1f1015e4, 0x1f194f70, 0x9e19d2b3
data4 0x9d89116c, 0x1f23cd35, 0x1e33d3a2, 0x1ee331b8
data4 0x1d5ba7ec, 0x9f273788, 0x9e6907f4, 0x9ed5f912
data4 0x9edd458d, 0x1e2ca7b2, 0x1ef81fe4, 0x1dc7ade6
data4 0x1e876e51, 0x9f04ec89, 0x1f1da63a, 0x1ec02bd0
data4 0x9e71326f, 0x1e7847b4, 0x1f0de618, 0x9e036cb6
data4 0x1eec61e2, 0x1ef1758b, 0x9ee880a3, 0x1ed269d7
data4 0x1e27edd3, 0x9e8a81a1, 0x1eacb84d, 0x9e1aad37
data4 0x1f1aa8f7, 0x1e9bbd90, 0x1ea1b61f, 0x9ed41c2f
data4 0x1dbb5dd6, 0x1f0ec733, 0x9df06b1b, 0x1e06fef1
data4 0x9edede3a, 0x1edeb5e2, 0x1f0e63ee, 0x9db316bb
data4 0x9efc1ad3, 0x1f01fbb5, 0x9cc0d078, 0x1ea28b36
data4 0x9e9dd205, 0x9e791534, 0x1da1c8d5, 0x9e8195cc
data4 0x1f0681a4, 0x1eeaf1e2, 0x9ef83b37, 0x9f22a92b
data4 0x1eabc4ce, 0x1f10eefb, 0x1e06d9aa, 0x1e7cacd5
data4 0x1f1ea087, 0x1eb21983, 0x9f100c78, 0x1e840abe
data4 0x9efab66c, 0x1f183fa8, 0x9e84ee68, 0x9eea083d
data4 0x9ee23a74, 0x1f1351d7, 0x9ec5d42a, 0x9f071f57
data4 0x9ef578d9, 0x9f1aa7e7, 0x1eb02044, 0x1f151a2e
data4 0x9c0dc8b2, 0x9ef4087a, 0x1ec12b93, 0x1c1a946b
data4 0x1e89946f, 0x9dafe8c3, 0x1d295288, 0x9e8497ab
data4 0x1ec000c6, 0x1e102f29, 0x1e542256, 0x1e67d44d
data4 0x1ef688d8, 0x1f0e0f29, 0x1e67861f, 0x1e869748
data4 0x1ee6aa6e, 0x9e4d228b, 0x9e50be5b, 0x1e9fe225
data4 0x9ea34102, 0x9e628a3b, 0x9ed9fd83, 0x1ecd7109
data4 0x1f1864ff, 0x1ea19b76, 0x1db0d1c9, 0x9dff519b
data4 0x1e8fea71, 0x9ee82e9a, 0x9f08919b, 0x9ef5c8ae
data4 0x9ee446a4, 0x1ea59444, 0x1eb74230, 0x1ea13fbf
data4 0x9ea6a3ea, 0x1e5f2797, 0x9e0adb07, 0x9d3adadd
data4 0x1ebf2ee2, 0x1da19bfa, 0x1e8dea6d, 0x1ec4fea9
data4 0x1e669f22, 0x1dc5f919, 0x9ed25caa, 0x1ee475b1
data4 0x1ed0603e, 0x9eacb35c, 0x1dc00b27, 0x1e2f9991
data4 0x1e7b0406, 0x1eaa3387, 0x9d865bde, 0x1eb78a48
data4 0x1c40ae2e, 0x1ee9838b, 0x9f0f0d7f, 0x1e3e5d26
data4 0x1e99e7a6, 0x9e681ccf, 0x9e93ed65, 0x9eeb6a66
data4 0x1e29e9af, 0x9e96f923, 0x9e74f11d, 0x9f1474da
data4 0x1eec2ea7, 0x1ebf7aa3, 0x9c25dcca, 0x9f0553c2
data4 0x9e599efd, 0x1d2ab490, 0x1e95d7cd, 0x9ee4b20e
data4 0x9d988ce5, 0x9ef9787e, 0x9dbbba5b, 0x9f12c304
data4 0x1e3b9d70, 0x1e7bcae8, 0x9d98bb6e, 0x9e8e6b01
data4 0x9f07d03b, 0x9d67c822, 0x9f0ef69e, 0x1c7c0fe3
data4 0x9e9bfbb9, 0x9e83b84b, 0x1efbf15e, 0x9ecfa6a6
data4 0x9c91158e, 0x9ecf6770, 0x1ee1e3a8, 0x9dc95ec0
data4 0x1ef603f7, 0x1d5e52ba, 0x1c477d1b, 0x9e955cd8
data4 0x1ed665b0, 0x9e8376c4, 0x9c0ee88e, 0x1e8c989e
data4 0x1ea2df29, 0x9d961e5c, 0x1e101813, 0x1e7fffff
data4 0x9e5abff4, 0x1dbddd71, 0x1eb69100, 0x1e71f114
data4 0x1e9ca798, 0x1ef62c8d, 0x9db4e55a, 0x1dbe69ce
data4 0x9ef1c01f, 0x1f044a2a, 0x9eb9e0d7, 0x9ee59745
data4 0x9e874803, 0x1ea0b418, 0x9e13572a, 0x1ddbb3a2
data4 0x9ec0e391, 0x1e89fba1, 0x1ee8b261, 0x9e5d25f0
data4 0x9ef222cb, 0x9ef135ec, 0x1ea04b9a, 0x9f04291f
data4 0x9e969254, 0x9ee32f08, 0x9ed909d3, 0x9e362640
data4 0x9ec20735, 0x1e50131b, 0x9ed4e049, 0x1ee8e817
data4 0x1e1e09c0, 0x9ea643c5, 0x9e5a1ab6, 0x9e389059
data4 0x1e560947, 0x1d02b877, 0x1e4475ab, 0x9ea9aaf6
data4 0x1e95bc5e, 0x1eaf6afd, 0x1d43067d, 0x9d043821
data4 0x9e97baa9, 0x1de5c4f9, 0x9e9a0069, 0x9e1b9944
data4 0x1eb13686, 0x9eb907eb, 0x1e059589, 0x1cbd0f93
data4 0x9eb7e6ae, 0x1e9fa175, 0x1ee5bdf4, 0x1e8052f7
data4 0x9c80d1e3, 0x1bfbe28e, 0x9e672b3b, 0x9ecacf19
data4 0x9e3c04be, 0x1dfe8c5c, 0x1e1ba9cb, 0x1eb40b1e
data4 0x1ec7e7f6, 0x9d0d45b3, 0x1ef0113b, 0x9a155fa3
data4 0x1e28ec3b, 0x1e7ca8df, 0x9d2f91b4, 0x1eccd9ed
data4 0x9ed943bc, 0x9ccaab19, 0x9e8a5c58, 0x1ec3bca8
data4 0x1ed78dc7, 0x9ed391a8, 0x9e938f6e, 0x9ec4a030
data4 0x9e80346e, 0x1e7a4686, 0x9e284315, 0x9e39584c
data4 0x1ebdc9b4, 0x9e9cfce5, 0x9ef55c65, 0x1e2941e7
data4 0x9efbe59f, 0x1d87c41b, 0x1e40befc, 0x1e3d05b5
data4 0x1de9ea67, 0x1ec9a21c, 0x1decb69a, 0x1df6e75a
data4 0x9e8030ab, 0x9db20540, 0x9ef1e977, 0x1e3cdc43
data4 0x1e0492b0, 0x9e91d872, 0x1e775346, 0x9e939978
data4 0x1eb2714e, 0x1e49a203, 0x9e10195a, 0x1ef1ffc3
data4 0x9ea8b709, 0x9e832e27, 0x1ed5ac3b, 0x1edb20a6
data4 0x1e4dbd4e, 0x1efbb932, 0x1d8170ec, 0x1e6c4849
data4 0x1f008e17, 0x1e8000c4, 0x1d855ecf, 0x9e37cb85
data4 0x1ecffdf5, 0x1eba6519, 0x9edbe600, 0x1ea3e5e7
data4 0x1ed4fb39, 0x1f00be77, 0x1e6f4484, 0x9e9e7107
data4 0x9e30b29d, 0x9ee6e174, 0x1e3a2656, 0x9dd72f3f
data4 0x9ee12138, 0x1ed16fed, 0x9ece8a02, 0x9ca5b249
data4 0x9eafd508, 0x9ef0e9fc, 0x1d1307ac, 0x1eecee20
data4 0x1cf60c6f, 0x9d556216, 0x9eaed175, 0x9ec919f4
data4 0x1ec2c988, 0x1cd82772, 0x9dc99456, 0x1eab0467
data4 0x1e89b36f, 0x1c757944, 0x1eef9abd, 0x9e98664d
LOCAL_OBJECT_END(D_table)
.section .text
GLOBAL_LIBM_ENTRY(cbrtl)
{ .mfi
getf.sig GR_ARGSIG = f8
// will continue on main path only for normal/denormal numbers
// all other values will be filtered out and will exit early
fclass.nm.unc p12, p7 = f8, 0x1b
// GR_ADDR = pointer to C_1...C_6 followed by T_table
addl GR_ADDR = @ltoff(poly_coeffs), gp
}
{ .mfi
// GR_BIAS23 = 2/3*bias -63 = 0xaaaa-0x3f = 0xaa6b
mov GR_BIAS23 = 0xaa6b
// normalize a
fma.s1 FR_XNORM = f8, f1, f0
// GR_D_ADDR = pointer to D table
addl GR_D_ADDR = @ltoff(D_table), gp
}
;;
{ .mmf
// load start address for C_1...C_6 followed by T_table
ld8 GR_C_START = [ GR_ADDR ]
// load start address of D table
ld8 GR_D_START = [ GR_D_ADDR ]
// y = frcpa(a)
frcpa.s1 FR_RCP, p6 = f1, f8
}
;;
{ .mmi
// get normalized significand
getf.sig GR_NORMSIG = FR_XNORM
// get exponent
getf.exp GR_NORMEXPSGN = FR_XNORM
(p7) cmp.eq p12, p0 = GR_ARGSIG, r0
}
;;
{ .mii
// load C_1
ldfe FR_C1 = [ GR_C_START ], 16
mov GR_SGNMASK = 0x20000
nop.i 0
}
;;
{ .mfb
// load C_2
ldfe FR_C2 = [ GR_C_START ], 16
(p12) fma.s0 f8 = f8, f1, f0
// NaN/Infinities exit early
(p12) br.ret.spnt b0
}
;;
{ .mfi
// load C_3, C_4
ldfpd FR_C3, FR_C4 = [ GR_C_START ], 16
// y = frcpa(a), set flags and result when argument is 0
// only used when p6=0
frcpa.s0 f8, p0 = f1, f8
nop.i 0
}
;;
{ .mii
// get GR_SIGN = sign
and GR_SIGN = GR_NORMEXPSGN, GR_SGNMASK
// eliminate leading 1 from GR_NORMSIG = 2nd table index
shl GR_INDEX2 = GR_NORMSIG, 1
// eliminate sign from exponent
andcm GR_NORMEXP = GR_NORMEXPSGN, GR_SGNMASK
}
;;
{ .mfi
// load C_5, C_6
(p6) ldfpd FR_C5, FR_C6 = [ GR_C_START ], 16
// r = 1-a*y
(p6) fnma.s1 FR_R = FR_RCP, FR_XNORM, f1
// Start computation of floor(exponent/3) by
// computing (2^20+2)/3*exponent = exponent*0x55556
// 1: exponent* = 5;
// (2^{16}-1)/3 = 0x5555:
// will form 0x5555*exponent by using shladd's
shladd GR_EXP5 = GR_NORMEXP, 2, GR_NORMEXP
}
;;
{ .mib
// Next several integer steps compute floor(exponent/3)
// GR_TMP1 = (5*expon)*16
shladd GR_TMP1 = GR_EXP5, 4, r0
// GR_EXP3 = 3*exponent
shladd GR_EXP3 = GR_NORMEXP, 1, GR_NORMEXP
nop.b 0
}
;;
{ .mmi
// GR_EXP6 = 6*exponent
shladd GR_EXP6 = GR_EXP3, 1, r0
// GR_EXP17 = 17*expon
add GR_EXP17 = GR_EXP5, GR_TMP1
// GR_IX2 = 2nd table index (8 bits)
shr.u GR_IX2 = GR_INDEX2, 56
}
;;
{ .mmi
// adjust T_table pointer by 2nd index
shladd GR_T_INDEX = GR_IX2, 3, GR_C_START
// adjust D_table pointer by 2nd index
shladd GR_D_INDEX = GR_IX2, 2, GR_D_START
// GR_TMP2 = (17*expon)*16^2
shl GR_TMP2 = GR_EXP17, 8
}
;;
{ .mmi
// GR_TMP3 = expon*(2^16-1)/3
add GR_TMP3 = GR_EXP17, GR_TMP2
;;
// GR_TMP4 = expon*(2^20+2)/3 = expon*0x55556
shladd GR_TMP4 = GR_TMP3, 4, GR_EXP6
nop.i 0
}
;;
{ .mii
nop.m 0
// GR_EXP_RES = floor(expon/3)
shr.u GR_EXP_RES = GR_TMP4, 20
nop.i 0
}
;;
{ .mmi
nop.m 0
// r16 = 3*exponent
shladd r16 = GR_EXP_RES, 1, GR_EXP_RES
// bias exponent
add GR_EXPBIAS = GR_BIAS23, GR_EXP_RES
}
;;
{ .mmi
// get remainder of exponent/3
sub GR_EXP_MOD_3 = GR_NORMEXP, r16
;;
// add sign to exponent
or GR_EXPSIGNRES = GR_EXPBIAS, GR_SIGN
// remainder << = 8
shl GR_REMTMP = GR_EXP_MOD_3, 8
}
;;
{ .mfi
// adjust D_table pointer by 1st index
shladd GR_IX_D = GR_REMTMP, 2, GR_D_INDEX
// P_1 = C_1+C_2*r
(p6) fma.s1 FR_P1 = FR_C2, FR_R, FR_C1
// adjust T_table pointer by 1st index
shladd GR_IX_T = GR_REMTMP, 3, GR_T_INDEX
}
{ .mfi
// FR_SGNEXP = sign*2^{exponent/3}
(p6) setf.exp FR_SGNEXP = GR_EXPSIGNRES
// r^2 = r*r
(p6) fma.s1 FR_R2 = FR_R, FR_R, f0
nop.i 0
}
;;
{ .mfi
// load D
(p6) ldfs FR_D = [ GR_IX_D ]
// P_2 = C_3+C_4*r
(p6) fma.s1 FR_P2 = FR_C4, FR_R, FR_C3
nop.i 0
}
{ .mfi
// load T
(p6) ldf8 FR_T = [ GR_IX_T ]
// P_3 = C_5+C_6*r
(p6) fma.s1 FR_P3 = FR_C6, FR_R, FR_C5
nop.i 0
}
;;
{ .mfi
nop.m 0
// P_4 = D-r*P_1
(p6) fnma.s1 FR_P4 = FR_R, FR_P1, FR_D
nop.i 0
}
{ .mfi
nop.m 0
// r^3 = r*r^2
(p6) fma.s1 FR_R3 = FR_R, FR_R2, f0
nop.i 0
}
;;
{ .mfi
nop.m 0
// P_5 = P_2+r2*P_3
(p6) fma.s1 FR_P5 = FR_R2, FR_P3, FR_P2
nop.i 0
}
;;
{ .mfi
nop.m 0
// T = T*(sign*2^{exponent/3})
(p6) fma.s1 FR_TF = FR_T, FR_SGNEXP, f0
nop.i 0
}
{ .mfi
nop.m 0
// P = P_4-r3*P_5
(p6) fnma.s1 FR_P = FR_R3, FR_P5, FR_P4
nop.i 0
}
;;
{ .mfb
nop.m 0
// result = T+T*p
(p6) fma.s0 f8 = FR_TF, FR_P, FR_TF
br.ret.sptk b0
}
;;
GLOBAL_LIBM_END(cbrtl)
|
