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
|
/* whrlpool.cpp - originally modified by Kevin Springle from
* Paulo Barreto and Vincent Rijmen's public domain code, whirlpool.c.
* Updated to Whirlpool version 3.0, optimized and SSE version added by Wei Dai
* All modifications are placed in the public domain
*/
/*
* Adapted to VeraCrypt
*/
/* This is the original introductory comment: */
/**
* The Whirlpool hashing function.
*
* <P>
* <b>References</b>
*
* <P>
* The Whirlpool algorithm was developed by
* <a href="mailto:pbarreto@scopus.com.br">Paulo S. L. M. Barreto</a> and
* <a href="mailto:vincent.rijmen@cryptomathic.com">Vincent Rijmen</a>.
*
* See
* P.S.L.M. Barreto, V. Rijmen,
* ``The Whirlpool hashing function,''
* NESSIE submission, 2000 (tweaked version, 2001),
* <https://www.cosic.esat.kuleuven.ac.be/nessie/workshop/submissions/whirlpool.zip>
*
* @author Paulo S.L.M. Barreto
* @author Vincent Rijmen.
*
* @version 3.0 (2003.03.12)
*
* =============================================================================
*
* Differences from version 2.1:
*
* - Suboptimal diffusion matrix replaced by cir(1, 1, 4, 1, 8, 5, 2, 9).
*
* =============================================================================
*
* Differences from version 2.0:
*
* - Generation of ISO/IEC 10118-3 test vectors.
* - Bug fix: nonzero carry was ignored when tallying the data length
* (this bug apparently only manifested itself when feeding data
* in pieces rather than in a single chunk at once).
* - Support for MS Visual C++ 64-bit integer arithmetic.
*
* Differences from version 1.0:
*
* - Original S-box replaced by the tweaked, hardware-efficient version.
*
* =============================================================================
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHORS ''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 AUTHORS 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.
*
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include "Common/Endian.h"
#include "cpu.h"
#include "misc.h"
#include "Whirlpool.h"
/*
* The number of rounds of the internal dedicated block cipher.
*/
#define R 10
/*
* Though Whirlpool is endianness-neutral, the encryption tables are listed
* in BIG-ENDIAN format, which is adopted throughout this implementation
* (but little-endian notation would be equally suitable if consistently
* employed).
*/
#if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
CRYPTOPP_ALIGN_DATA(16) static const uint64 Whirlpool_C[4*256+R] CRYPTOPP_SECTION_ALIGN16 = {
#else
static const uint64 Whirlpool_C[4*256+R] = {
#endif
LL(0x18186018c07830d8), LL(0x23238c2305af4626), LL(0xc6c63fc67ef991b8), LL(0xe8e887e8136fcdfb),
LL(0x878726874ca113cb), LL(0xb8b8dab8a9626d11), LL(0x0101040108050209), LL(0x4f4f214f426e9e0d),
LL(0x3636d836adee6c9b), LL(0xa6a6a2a6590451ff), LL(0xd2d26fd2debdb90c), LL(0xf5f5f3f5fb06f70e),
LL(0x7979f979ef80f296), LL(0x6f6fa16f5fcede30), LL(0x91917e91fcef3f6d), LL(0x52525552aa07a4f8),
LL(0x60609d6027fdc047), LL(0xbcbccabc89766535), LL(0x9b9b569baccd2b37), LL(0x8e8e028e048c018a),
LL(0xa3a3b6a371155bd2), LL(0x0c0c300c603c186c), LL(0x7b7bf17bff8af684), LL(0x3535d435b5e16a80),
LL(0x1d1d741de8693af5), LL(0xe0e0a7e05347ddb3), LL(0xd7d77bd7f6acb321), LL(0xc2c22fc25eed999c),
LL(0x2e2eb82e6d965c43), LL(0x4b4b314b627a9629), LL(0xfefedffea321e15d), LL(0x575741578216aed5),
LL(0x15155415a8412abd), LL(0x7777c1779fb6eee8), LL(0x3737dc37a5eb6e92), LL(0xe5e5b3e57b56d79e),
LL(0x9f9f469f8cd92313), LL(0xf0f0e7f0d317fd23), LL(0x4a4a354a6a7f9420), LL(0xdada4fda9e95a944),
LL(0x58587d58fa25b0a2), LL(0xc9c903c906ca8fcf), LL(0x2929a429558d527c), LL(0x0a0a280a5022145a),
LL(0xb1b1feb1e14f7f50), LL(0xa0a0baa0691a5dc9), LL(0x6b6bb16b7fdad614), LL(0x85852e855cab17d9),
LL(0xbdbdcebd8173673c), LL(0x5d5d695dd234ba8f), LL(0x1010401080502090), LL(0xf4f4f7f4f303f507),
LL(0xcbcb0bcb16c08bdd), LL(0x3e3ef83eedc67cd3), LL(0x0505140528110a2d), LL(0x676781671fe6ce78),
LL(0xe4e4b7e47353d597), LL(0x27279c2725bb4e02), LL(0x4141194132588273), LL(0x8b8b168b2c9d0ba7),
LL(0xa7a7a6a7510153f6), LL(0x7d7de97dcf94fab2), LL(0x95956e95dcfb3749), LL(0xd8d847d88e9fad56),
LL(0xfbfbcbfb8b30eb70), LL(0xeeee9fee2371c1cd), LL(0x7c7ced7cc791f8bb), LL(0x6666856617e3cc71),
LL(0xdddd53dda68ea77b), LL(0x17175c17b84b2eaf), LL(0x4747014702468e45), LL(0x9e9e429e84dc211a),
LL(0xcaca0fca1ec589d4), LL(0x2d2db42d75995a58), LL(0xbfbfc6bf9179632e), LL(0x07071c07381b0e3f),
LL(0xadad8ead012347ac), LL(0x5a5a755aea2fb4b0), LL(0x838336836cb51bef), LL(0x3333cc3385ff66b6),
LL(0x636391633ff2c65c), LL(0x02020802100a0412), LL(0xaaaa92aa39384993), LL(0x7171d971afa8e2de),
LL(0xc8c807c80ecf8dc6), LL(0x19196419c87d32d1), LL(0x494939497270923b), LL(0xd9d943d9869aaf5f),
LL(0xf2f2eff2c31df931), LL(0xe3e3abe34b48dba8), LL(0x5b5b715be22ab6b9), LL(0x88881a8834920dbc),
LL(0x9a9a529aa4c8293e), LL(0x262698262dbe4c0b), LL(0x3232c8328dfa64bf), LL(0xb0b0fab0e94a7d59),
LL(0xe9e983e91b6acff2), LL(0x0f0f3c0f78331e77), LL(0xd5d573d5e6a6b733), LL(0x80803a8074ba1df4),
LL(0xbebec2be997c6127), LL(0xcdcd13cd26de87eb), LL(0x3434d034bde46889), LL(0x48483d487a759032),
LL(0xffffdbffab24e354), LL(0x7a7af57af78ff48d), LL(0x90907a90f4ea3d64), LL(0x5f5f615fc23ebe9d),
LL(0x202080201da0403d), LL(0x6868bd6867d5d00f), LL(0x1a1a681ad07234ca), LL(0xaeae82ae192c41b7),
LL(0xb4b4eab4c95e757d), LL(0x54544d549a19a8ce), LL(0x93937693ece53b7f), LL(0x222288220daa442f),
LL(0x64648d6407e9c863), LL(0xf1f1e3f1db12ff2a), LL(0x7373d173bfa2e6cc), LL(0x12124812905a2482),
LL(0x40401d403a5d807a), LL(0x0808200840281048), LL(0xc3c32bc356e89b95), LL(0xecec97ec337bc5df),
LL(0xdbdb4bdb9690ab4d), LL(0xa1a1bea1611f5fc0), LL(0x8d8d0e8d1c830791), LL(0x3d3df43df5c97ac8),
LL(0x97976697ccf1335b), LL(0x0000000000000000), LL(0xcfcf1bcf36d483f9), LL(0x2b2bac2b4587566e),
LL(0x7676c57697b3ece1), LL(0x8282328264b019e6), LL(0xd6d67fd6fea9b128), LL(0x1b1b6c1bd87736c3),
LL(0xb5b5eeb5c15b7774), LL(0xafaf86af112943be), LL(0x6a6ab56a77dfd41d), LL(0x50505d50ba0da0ea),
LL(0x45450945124c8a57), LL(0xf3f3ebf3cb18fb38), LL(0x3030c0309df060ad), LL(0xefef9bef2b74c3c4),
LL(0x3f3ffc3fe5c37eda), LL(0x55554955921caac7), LL(0xa2a2b2a2791059db), LL(0xeaea8fea0365c9e9),
LL(0x656589650fecca6a), LL(0xbabad2bab9686903), LL(0x2f2fbc2f65935e4a), LL(0xc0c027c04ee79d8e),
LL(0xdede5fdebe81a160), LL(0x1c1c701ce06c38fc), LL(0xfdfdd3fdbb2ee746), LL(0x4d4d294d52649a1f),
LL(0x92927292e4e03976), LL(0x7575c9758fbceafa), LL(0x06061806301e0c36), LL(0x8a8a128a249809ae),
LL(0xb2b2f2b2f940794b), LL(0xe6e6bfe66359d185), LL(0x0e0e380e70361c7e), LL(0x1f1f7c1ff8633ee7),
LL(0x6262956237f7c455), LL(0xd4d477d4eea3b53a), LL(0xa8a89aa829324d81), LL(0x96966296c4f43152),
LL(0xf9f9c3f99b3aef62), LL(0xc5c533c566f697a3), LL(0x2525942535b14a10), LL(0x59597959f220b2ab),
LL(0x84842a8454ae15d0), LL(0x7272d572b7a7e4c5), LL(0x3939e439d5dd72ec), LL(0x4c4c2d4c5a619816),
LL(0x5e5e655eca3bbc94), LL(0x7878fd78e785f09f), LL(0x3838e038ddd870e5), LL(0x8c8c0a8c14860598),
LL(0xd1d163d1c6b2bf17), LL(0xa5a5aea5410b57e4), LL(0xe2e2afe2434dd9a1), LL(0x616199612ff8c24e),
LL(0xb3b3f6b3f1457b42), LL(0x2121842115a54234), LL(0x9c9c4a9c94d62508), LL(0x1e1e781ef0663cee),
LL(0x4343114322528661), LL(0xc7c73bc776fc93b1), LL(0xfcfcd7fcb32be54f), LL(0x0404100420140824),
LL(0x51515951b208a2e3), LL(0x99995e99bcc72f25), LL(0x6d6da96d4fc4da22), LL(0x0d0d340d68391a65),
LL(0xfafacffa8335e979), LL(0xdfdf5bdfb684a369), LL(0x7e7ee57ed79bfca9), LL(0x242490243db44819),
LL(0x3b3bec3bc5d776fe), LL(0xabab96ab313d4b9a), LL(0xcece1fce3ed181f0), LL(0x1111441188552299),
LL(0x8f8f068f0c890383), LL(0x4e4e254e4a6b9c04), LL(0xb7b7e6b7d1517366), LL(0xebeb8beb0b60cbe0),
LL(0x3c3cf03cfdcc78c1), LL(0x81813e817cbf1ffd), LL(0x94946a94d4fe3540), LL(0xf7f7fbf7eb0cf31c),
LL(0xb9b9deb9a1676f18), LL(0x13134c13985f268b), LL(0x2c2cb02c7d9c5851), LL(0xd3d36bd3d6b8bb05),
LL(0xe7e7bbe76b5cd38c), LL(0x6e6ea56e57cbdc39), LL(0xc4c437c46ef395aa), LL(0x03030c03180f061b),
LL(0x565645568a13acdc), LL(0x44440d441a49885e), LL(0x7f7fe17fdf9efea0), LL(0xa9a99ea921374f88),
LL(0x2a2aa82a4d825467), LL(0xbbbbd6bbb16d6b0a), LL(0xc1c123c146e29f87), LL(0x53535153a202a6f1),
LL(0xdcdc57dcae8ba572), LL(0x0b0b2c0b58271653), LL(0x9d9d4e9d9cd32701), LL(0x6c6cad6c47c1d82b),
LL(0x3131c43195f562a4), LL(0x7474cd7487b9e8f3), LL(0xf6f6fff6e309f115), LL(0x464605460a438c4c),
LL(0xacac8aac092645a5), LL(0x89891e893c970fb5), LL(0x14145014a04428b4), LL(0xe1e1a3e15b42dfba),
LL(0x16165816b04e2ca6), LL(0x3a3ae83acdd274f7), LL(0x6969b9696fd0d206), LL(0x09092409482d1241),
LL(0x7070dd70a7ade0d7), LL(0xb6b6e2b6d954716f), LL(0xd0d067d0ceb7bd1e), LL(0xeded93ed3b7ec7d6),
LL(0xcccc17cc2edb85e2), LL(0x424215422a578468), LL(0x98985a98b4c22d2c), LL(0xa4a4aaa4490e55ed),
LL(0x2828a0285d885075), LL(0x5c5c6d5cda31b886), LL(0xf8f8c7f8933fed6b), LL(0x8686228644a411c2),
LL(0xd818186018c07830), LL(0x2623238c2305af46), LL(0xb8c6c63fc67ef991), LL(0xfbe8e887e8136fcd),
LL(0xcb878726874ca113), LL(0x11b8b8dab8a9626d), LL(0x0901010401080502), LL(0x0d4f4f214f426e9e),
LL(0x9b3636d836adee6c), LL(0xffa6a6a2a6590451), LL(0x0cd2d26fd2debdb9), LL(0x0ef5f5f3f5fb06f7),
LL(0x967979f979ef80f2), LL(0x306f6fa16f5fcede), LL(0x6d91917e91fcef3f), LL(0xf852525552aa07a4),
LL(0x4760609d6027fdc0), LL(0x35bcbccabc897665), LL(0x379b9b569baccd2b), LL(0x8a8e8e028e048c01),
LL(0xd2a3a3b6a371155b), LL(0x6c0c0c300c603c18), LL(0x847b7bf17bff8af6), LL(0x803535d435b5e16a),
LL(0xf51d1d741de8693a), LL(0xb3e0e0a7e05347dd), LL(0x21d7d77bd7f6acb3), LL(0x9cc2c22fc25eed99),
LL(0x432e2eb82e6d965c), LL(0x294b4b314b627a96), LL(0x5dfefedffea321e1), LL(0xd5575741578216ae),
LL(0xbd15155415a8412a), LL(0xe87777c1779fb6ee), LL(0x923737dc37a5eb6e), LL(0x9ee5e5b3e57b56d7),
LL(0x139f9f469f8cd923), LL(0x23f0f0e7f0d317fd), LL(0x204a4a354a6a7f94), LL(0x44dada4fda9e95a9),
LL(0xa258587d58fa25b0), LL(0xcfc9c903c906ca8f), LL(0x7c2929a429558d52), LL(0x5a0a0a280a502214),
LL(0x50b1b1feb1e14f7f), LL(0xc9a0a0baa0691a5d), LL(0x146b6bb16b7fdad6), LL(0xd985852e855cab17),
LL(0x3cbdbdcebd817367), LL(0x8f5d5d695dd234ba), LL(0x9010104010805020), LL(0x07f4f4f7f4f303f5),
LL(0xddcbcb0bcb16c08b), LL(0xd33e3ef83eedc67c), LL(0x2d0505140528110a), LL(0x78676781671fe6ce),
LL(0x97e4e4b7e47353d5), LL(0x0227279c2725bb4e), LL(0x7341411941325882), LL(0xa78b8b168b2c9d0b),
LL(0xf6a7a7a6a7510153), LL(0xb27d7de97dcf94fa), LL(0x4995956e95dcfb37), LL(0x56d8d847d88e9fad),
LL(0x70fbfbcbfb8b30eb), LL(0xcdeeee9fee2371c1), LL(0xbb7c7ced7cc791f8), LL(0x716666856617e3cc),
LL(0x7bdddd53dda68ea7), LL(0xaf17175c17b84b2e), LL(0x454747014702468e), LL(0x1a9e9e429e84dc21),
LL(0xd4caca0fca1ec589), LL(0x582d2db42d75995a), LL(0x2ebfbfc6bf917963), LL(0x3f07071c07381b0e),
LL(0xacadad8ead012347), LL(0xb05a5a755aea2fb4), LL(0xef838336836cb51b), LL(0xb63333cc3385ff66),
LL(0x5c636391633ff2c6), LL(0x1202020802100a04), LL(0x93aaaa92aa393849), LL(0xde7171d971afa8e2),
LL(0xc6c8c807c80ecf8d), LL(0xd119196419c87d32), LL(0x3b49493949727092), LL(0x5fd9d943d9869aaf),
LL(0x31f2f2eff2c31df9), LL(0xa8e3e3abe34b48db), LL(0xb95b5b715be22ab6), LL(0xbc88881a8834920d),
LL(0x3e9a9a529aa4c829), LL(0x0b262698262dbe4c), LL(0xbf3232c8328dfa64), LL(0x59b0b0fab0e94a7d),
LL(0xf2e9e983e91b6acf), LL(0x770f0f3c0f78331e), LL(0x33d5d573d5e6a6b7), LL(0xf480803a8074ba1d),
LL(0x27bebec2be997c61), LL(0xebcdcd13cd26de87), LL(0x893434d034bde468), LL(0x3248483d487a7590),
LL(0x54ffffdbffab24e3), LL(0x8d7a7af57af78ff4), LL(0x6490907a90f4ea3d), LL(0x9d5f5f615fc23ebe),
LL(0x3d202080201da040), LL(0x0f6868bd6867d5d0), LL(0xca1a1a681ad07234), LL(0xb7aeae82ae192c41),
LL(0x7db4b4eab4c95e75), LL(0xce54544d549a19a8), LL(0x7f93937693ece53b), LL(0x2f222288220daa44),
LL(0x6364648d6407e9c8), LL(0x2af1f1e3f1db12ff), LL(0xcc7373d173bfa2e6), LL(0x8212124812905a24),
LL(0x7a40401d403a5d80), LL(0x4808082008402810), LL(0x95c3c32bc356e89b), LL(0xdfecec97ec337bc5),
LL(0x4ddbdb4bdb9690ab), LL(0xc0a1a1bea1611f5f), LL(0x918d8d0e8d1c8307), LL(0xc83d3df43df5c97a),
LL(0x5b97976697ccf133), LL(0x0000000000000000), LL(0xf9cfcf1bcf36d483), LL(0x6e2b2bac2b458756),
LL(0xe17676c57697b3ec), LL(0xe68282328264b019), LL(0x28d6d67fd6fea9b1), LL(0xc31b1b6c1bd87736),
LL(0x74b5b5eeb5c15b77), LL(0xbeafaf86af112943), LL(0x1d6a6ab56a77dfd4), LL(0xea50505d50ba0da0),
LL(0x5745450945124c8a), LL(0x38f3f3ebf3cb18fb), LL(0xad3030c0309df060), LL(0xc4efef9bef2b74c3),
LL(0xda3f3ffc3fe5c37e), LL(0xc755554955921caa), LL(0xdba2a2b2a2791059), LL(0xe9eaea8fea0365c9),
LL(0x6a656589650fecca), LL(0x03babad2bab96869), LL(0x4a2f2fbc2f65935e), LL(0x8ec0c027c04ee79d),
LL(0x60dede5fdebe81a1), LL(0xfc1c1c701ce06c38), LL(0x46fdfdd3fdbb2ee7), LL(0x1f4d4d294d52649a),
LL(0x7692927292e4e039), LL(0xfa7575c9758fbcea), LL(0x3606061806301e0c), LL(0xae8a8a128a249809),
LL(0x4bb2b2f2b2f94079), LL(0x85e6e6bfe66359d1), LL(0x7e0e0e380e70361c), LL(0xe71f1f7c1ff8633e),
LL(0x556262956237f7c4), LL(0x3ad4d477d4eea3b5), LL(0x81a8a89aa829324d), LL(0x5296966296c4f431),
LL(0x62f9f9c3f99b3aef), LL(0xa3c5c533c566f697), LL(0x102525942535b14a), LL(0xab59597959f220b2),
LL(0xd084842a8454ae15), LL(0xc57272d572b7a7e4), LL(0xec3939e439d5dd72), LL(0x164c4c2d4c5a6198),
LL(0x945e5e655eca3bbc), LL(0x9f7878fd78e785f0), LL(0xe53838e038ddd870), LL(0x988c8c0a8c148605),
LL(0x17d1d163d1c6b2bf), LL(0xe4a5a5aea5410b57), LL(0xa1e2e2afe2434dd9), LL(0x4e616199612ff8c2),
LL(0x42b3b3f6b3f1457b), LL(0x342121842115a542), LL(0x089c9c4a9c94d625), LL(0xee1e1e781ef0663c),
LL(0x6143431143225286), LL(0xb1c7c73bc776fc93), LL(0x4ffcfcd7fcb32be5), LL(0x2404041004201408),
LL(0xe351515951b208a2), LL(0x2599995e99bcc72f), LL(0x226d6da96d4fc4da), LL(0x650d0d340d68391a),
LL(0x79fafacffa8335e9), LL(0x69dfdf5bdfb684a3), LL(0xa97e7ee57ed79bfc), LL(0x19242490243db448),
LL(0xfe3b3bec3bc5d776), LL(0x9aabab96ab313d4b), LL(0xf0cece1fce3ed181), LL(0x9911114411885522),
LL(0x838f8f068f0c8903), LL(0x044e4e254e4a6b9c), LL(0x66b7b7e6b7d15173), LL(0xe0ebeb8beb0b60cb),
LL(0xc13c3cf03cfdcc78), LL(0xfd81813e817cbf1f), LL(0x4094946a94d4fe35), LL(0x1cf7f7fbf7eb0cf3),
LL(0x18b9b9deb9a1676f), LL(0x8b13134c13985f26), LL(0x512c2cb02c7d9c58), LL(0x05d3d36bd3d6b8bb),
LL(0x8ce7e7bbe76b5cd3), LL(0x396e6ea56e57cbdc), LL(0xaac4c437c46ef395), LL(0x1b03030c03180f06),
LL(0xdc565645568a13ac), LL(0x5e44440d441a4988), LL(0xa07f7fe17fdf9efe), LL(0x88a9a99ea921374f),
LL(0x672a2aa82a4d8254), LL(0x0abbbbd6bbb16d6b), LL(0x87c1c123c146e29f), LL(0xf153535153a202a6),
LL(0x72dcdc57dcae8ba5), LL(0x530b0b2c0b582716), LL(0x019d9d4e9d9cd327), LL(0x2b6c6cad6c47c1d8),
LL(0xa43131c43195f562), LL(0xf37474cd7487b9e8), LL(0x15f6f6fff6e309f1), LL(0x4c464605460a438c),
LL(0xa5acac8aac092645), LL(0xb589891e893c970f), LL(0xb414145014a04428), LL(0xbae1e1a3e15b42df),
LL(0xa616165816b04e2c), LL(0xf73a3ae83acdd274), LL(0x066969b9696fd0d2), LL(0x4109092409482d12),
LL(0xd77070dd70a7ade0), LL(0x6fb6b6e2b6d95471), LL(0x1ed0d067d0ceb7bd), LL(0xd6eded93ed3b7ec7),
LL(0xe2cccc17cc2edb85), LL(0x68424215422a5784), LL(0x2c98985a98b4c22d), LL(0xeda4a4aaa4490e55),
LL(0x752828a0285d8850), LL(0x865c5c6d5cda31b8), LL(0x6bf8f8c7f8933fed), LL(0xc28686228644a411),
LL(0x30d818186018c078), LL(0x462623238c2305af), LL(0x91b8c6c63fc67ef9), LL(0xcdfbe8e887e8136f),
LL(0x13cb878726874ca1), LL(0x6d11b8b8dab8a962), LL(0x0209010104010805), LL(0x9e0d4f4f214f426e),
LL(0x6c9b3636d836adee), LL(0x51ffa6a6a2a65904), LL(0xb90cd2d26fd2debd), LL(0xf70ef5f5f3f5fb06),
LL(0xf2967979f979ef80), LL(0xde306f6fa16f5fce), LL(0x3f6d91917e91fcef), LL(0xa4f852525552aa07),
LL(0xc04760609d6027fd), LL(0x6535bcbccabc8976), LL(0x2b379b9b569baccd), LL(0x018a8e8e028e048c),
LL(0x5bd2a3a3b6a37115), LL(0x186c0c0c300c603c), LL(0xf6847b7bf17bff8a), LL(0x6a803535d435b5e1),
LL(0x3af51d1d741de869), LL(0xddb3e0e0a7e05347), LL(0xb321d7d77bd7f6ac), LL(0x999cc2c22fc25eed),
LL(0x5c432e2eb82e6d96), LL(0x96294b4b314b627a), LL(0xe15dfefedffea321), LL(0xaed5575741578216),
LL(0x2abd15155415a841), LL(0xeee87777c1779fb6), LL(0x6e923737dc37a5eb), LL(0xd79ee5e5b3e57b56),
LL(0x23139f9f469f8cd9), LL(0xfd23f0f0e7f0d317), LL(0x94204a4a354a6a7f), LL(0xa944dada4fda9e95),
LL(0xb0a258587d58fa25), LL(0x8fcfc9c903c906ca), LL(0x527c2929a429558d), LL(0x145a0a0a280a5022),
LL(0x7f50b1b1feb1e14f), LL(0x5dc9a0a0baa0691a), LL(0xd6146b6bb16b7fda), LL(0x17d985852e855cab),
LL(0x673cbdbdcebd8173), LL(0xba8f5d5d695dd234), LL(0x2090101040108050), LL(0xf507f4f4f7f4f303),
LL(0x8bddcbcb0bcb16c0), LL(0x7cd33e3ef83eedc6), LL(0x0a2d050514052811), LL(0xce78676781671fe6),
LL(0xd597e4e4b7e47353), LL(0x4e0227279c2725bb), LL(0x8273414119413258), LL(0x0ba78b8b168b2c9d),
LL(0x53f6a7a7a6a75101), LL(0xfab27d7de97dcf94), LL(0x374995956e95dcfb), LL(0xad56d8d847d88e9f),
LL(0xeb70fbfbcbfb8b30), LL(0xc1cdeeee9fee2371), LL(0xf8bb7c7ced7cc791), LL(0xcc716666856617e3),
LL(0xa77bdddd53dda68e), LL(0x2eaf17175c17b84b), LL(0x8e45474701470246), LL(0x211a9e9e429e84dc),
LL(0x89d4caca0fca1ec5), LL(0x5a582d2db42d7599), LL(0x632ebfbfc6bf9179), LL(0x0e3f07071c07381b),
LL(0x47acadad8ead0123), LL(0xb4b05a5a755aea2f), LL(0x1bef838336836cb5), LL(0x66b63333cc3385ff),
LL(0xc65c636391633ff2), LL(0x041202020802100a), LL(0x4993aaaa92aa3938), LL(0xe2de7171d971afa8),
LL(0x8dc6c8c807c80ecf), LL(0x32d119196419c87d), LL(0x923b494939497270), LL(0xaf5fd9d943d9869a),
LL(0xf931f2f2eff2c31d), LL(0xdba8e3e3abe34b48), LL(0xb6b95b5b715be22a), LL(0x0dbc88881a883492),
LL(0x293e9a9a529aa4c8), LL(0x4c0b262698262dbe), LL(0x64bf3232c8328dfa), LL(0x7d59b0b0fab0e94a),
LL(0xcff2e9e983e91b6a), LL(0x1e770f0f3c0f7833), LL(0xb733d5d573d5e6a6), LL(0x1df480803a8074ba),
LL(0x6127bebec2be997c), LL(0x87ebcdcd13cd26de), LL(0x68893434d034bde4), LL(0x903248483d487a75),
LL(0xe354ffffdbffab24), LL(0xf48d7a7af57af78f), LL(0x3d6490907a90f4ea), LL(0xbe9d5f5f615fc23e),
LL(0x403d202080201da0), LL(0xd00f6868bd6867d5), LL(0x34ca1a1a681ad072), LL(0x41b7aeae82ae192c),
LL(0x757db4b4eab4c95e), LL(0xa8ce54544d549a19), LL(0x3b7f93937693ece5), LL(0x442f222288220daa),
LL(0xc86364648d6407e9), LL(0xff2af1f1e3f1db12), LL(0xe6cc7373d173bfa2), LL(0x248212124812905a),
LL(0x807a40401d403a5d), LL(0x1048080820084028), LL(0x9b95c3c32bc356e8), LL(0xc5dfecec97ec337b),
LL(0xab4ddbdb4bdb9690), LL(0x5fc0a1a1bea1611f), LL(0x07918d8d0e8d1c83), LL(0x7ac83d3df43df5c9),
LL(0x335b97976697ccf1), LL(0x0000000000000000), LL(0x83f9cfcf1bcf36d4), LL(0x566e2b2bac2b4587),
LL(0xece17676c57697b3), LL(0x19e68282328264b0), LL(0xb128d6d67fd6fea9), LL(0x36c31b1b6c1bd877),
LL(0x7774b5b5eeb5c15b), LL(0x43beafaf86af1129), LL(0xd41d6a6ab56a77df), LL(0xa0ea50505d50ba0d),
LL(0x8a5745450945124c), LL(0xfb38f3f3ebf3cb18), LL(0x60ad3030c0309df0), LL(0xc3c4efef9bef2b74),
LL(0x7eda3f3ffc3fe5c3), LL(0xaac755554955921c), LL(0x59dba2a2b2a27910), LL(0xc9e9eaea8fea0365),
LL(0xca6a656589650fec), LL(0x6903babad2bab968), LL(0x5e4a2f2fbc2f6593), LL(0x9d8ec0c027c04ee7),
LL(0xa160dede5fdebe81), LL(0x38fc1c1c701ce06c), LL(0xe746fdfdd3fdbb2e), LL(0x9a1f4d4d294d5264),
LL(0x397692927292e4e0), LL(0xeafa7575c9758fbc), LL(0x0c3606061806301e), LL(0x09ae8a8a128a2498),
LL(0x794bb2b2f2b2f940), LL(0xd185e6e6bfe66359), LL(0x1c7e0e0e380e7036), LL(0x3ee71f1f7c1ff863),
LL(0xc4556262956237f7), LL(0xb53ad4d477d4eea3), LL(0x4d81a8a89aa82932), LL(0x315296966296c4f4),
LL(0xef62f9f9c3f99b3a), LL(0x97a3c5c533c566f6), LL(0x4a102525942535b1), LL(0xb2ab59597959f220),
LL(0x15d084842a8454ae), LL(0xe4c57272d572b7a7), LL(0x72ec3939e439d5dd), LL(0x98164c4c2d4c5a61),
LL(0xbc945e5e655eca3b), LL(0xf09f7878fd78e785), LL(0x70e53838e038ddd8), LL(0x05988c8c0a8c1486),
LL(0xbf17d1d163d1c6b2), LL(0x57e4a5a5aea5410b), LL(0xd9a1e2e2afe2434d), LL(0xc24e616199612ff8),
LL(0x7b42b3b3f6b3f145), LL(0x42342121842115a5), LL(0x25089c9c4a9c94d6), LL(0x3cee1e1e781ef066),
LL(0x8661434311432252), LL(0x93b1c7c73bc776fc), LL(0xe54ffcfcd7fcb32b), LL(0x0824040410042014),
LL(0xa2e351515951b208), LL(0x2f2599995e99bcc7), LL(0xda226d6da96d4fc4), LL(0x1a650d0d340d6839),
LL(0xe979fafacffa8335), LL(0xa369dfdf5bdfb684), LL(0xfca97e7ee57ed79b), LL(0x4819242490243db4),
LL(0x76fe3b3bec3bc5d7), LL(0x4b9aabab96ab313d), LL(0x81f0cece1fce3ed1), LL(0x2299111144118855),
LL(0x03838f8f068f0c89), LL(0x9c044e4e254e4a6b), LL(0x7366b7b7e6b7d151), LL(0xcbe0ebeb8beb0b60),
LL(0x78c13c3cf03cfdcc), LL(0x1ffd81813e817cbf), LL(0x354094946a94d4fe), LL(0xf31cf7f7fbf7eb0c),
LL(0x6f18b9b9deb9a167), LL(0x268b13134c13985f), LL(0x58512c2cb02c7d9c), LL(0xbb05d3d36bd3d6b8),
LL(0xd38ce7e7bbe76b5c), LL(0xdc396e6ea56e57cb), LL(0x95aac4c437c46ef3), LL(0x061b03030c03180f),
LL(0xacdc565645568a13), LL(0x885e44440d441a49), LL(0xfea07f7fe17fdf9e), LL(0x4f88a9a99ea92137),
LL(0x54672a2aa82a4d82), LL(0x6b0abbbbd6bbb16d), LL(0x9f87c1c123c146e2), LL(0xa6f153535153a202),
LL(0xa572dcdc57dcae8b), LL(0x16530b0b2c0b5827), LL(0x27019d9d4e9d9cd3), LL(0xd82b6c6cad6c47c1),
LL(0x62a43131c43195f5), LL(0xe8f37474cd7487b9), LL(0xf115f6f6fff6e309), LL(0x8c4c464605460a43),
LL(0x45a5acac8aac0926), LL(0x0fb589891e893c97), LL(0x28b414145014a044), LL(0xdfbae1e1a3e15b42),
LL(0x2ca616165816b04e), LL(0x74f73a3ae83acdd2), LL(0xd2066969b9696fd0), LL(0x124109092409482d),
LL(0xe0d77070dd70a7ad), LL(0x716fb6b6e2b6d954), LL(0xbd1ed0d067d0ceb7), LL(0xc7d6eded93ed3b7e),
LL(0x85e2cccc17cc2edb), LL(0x8468424215422a57), LL(0x2d2c98985a98b4c2), LL(0x55eda4a4aaa4490e),
LL(0x50752828a0285d88), LL(0xb8865c5c6d5cda31), LL(0xed6bf8f8c7f8933f), LL(0x11c28686228644a4),
LL(0x7830d818186018c0), LL(0xaf462623238c2305), LL(0xf991b8c6c63fc67e), LL(0x6fcdfbe8e887e813),
LL(0xa113cb878726874c), LL(0x626d11b8b8dab8a9), LL(0x0502090101040108), LL(0x6e9e0d4f4f214f42),
LL(0xee6c9b3636d836ad), LL(0x0451ffa6a6a2a659), LL(0xbdb90cd2d26fd2de), LL(0x06f70ef5f5f3f5fb),
LL(0x80f2967979f979ef), LL(0xcede306f6fa16f5f), LL(0xef3f6d91917e91fc), LL(0x07a4f852525552aa),
LL(0xfdc04760609d6027), LL(0x766535bcbccabc89), LL(0xcd2b379b9b569bac), LL(0x8c018a8e8e028e04),
LL(0x155bd2a3a3b6a371), LL(0x3c186c0c0c300c60), LL(0x8af6847b7bf17bff), LL(0xe16a803535d435b5),
LL(0x693af51d1d741de8), LL(0x47ddb3e0e0a7e053), LL(0xacb321d7d77bd7f6), LL(0xed999cc2c22fc25e),
LL(0x965c432e2eb82e6d), LL(0x7a96294b4b314b62), LL(0x21e15dfefedffea3), LL(0x16aed55757415782),
LL(0x412abd15155415a8), LL(0xb6eee87777c1779f), LL(0xeb6e923737dc37a5), LL(0x56d79ee5e5b3e57b),
LL(0xd923139f9f469f8c), LL(0x17fd23f0f0e7f0d3), LL(0x7f94204a4a354a6a), LL(0x95a944dada4fda9e),
LL(0x25b0a258587d58fa), LL(0xca8fcfc9c903c906), LL(0x8d527c2929a42955), LL(0x22145a0a0a280a50),
LL(0x4f7f50b1b1feb1e1), LL(0x1a5dc9a0a0baa069), LL(0xdad6146b6bb16b7f), LL(0xab17d985852e855c),
LL(0x73673cbdbdcebd81), LL(0x34ba8f5d5d695dd2), LL(0x5020901010401080), LL(0x03f507f4f4f7f4f3),
LL(0xc08bddcbcb0bcb16), LL(0xc67cd33e3ef83eed), LL(0x110a2d0505140528), LL(0xe6ce78676781671f),
LL(0x53d597e4e4b7e473), LL(0xbb4e0227279c2725), LL(0x5882734141194132), LL(0x9d0ba78b8b168b2c),
LL(0x0153f6a7a7a6a751), LL(0x94fab27d7de97dcf), LL(0xfb374995956e95dc), LL(0x9fad56d8d847d88e),
LL(0x30eb70fbfbcbfb8b), LL(0x71c1cdeeee9fee23), LL(0x91f8bb7c7ced7cc7), LL(0xe3cc716666856617),
LL(0x8ea77bdddd53dda6), LL(0x4b2eaf17175c17b8), LL(0x468e454747014702), LL(0xdc211a9e9e429e84),
LL(0xc589d4caca0fca1e), LL(0x995a582d2db42d75), LL(0x79632ebfbfc6bf91), LL(0x1b0e3f07071c0738),
LL(0x2347acadad8ead01), LL(0x2fb4b05a5a755aea), LL(0xb51bef838336836c), LL(0xff66b63333cc3385),
LL(0xf2c65c636391633f), LL(0x0a04120202080210), LL(0x384993aaaa92aa39), LL(0xa8e2de7171d971af),
LL(0xcf8dc6c8c807c80e), LL(0x7d32d119196419c8), LL(0x70923b4949394972), LL(0x9aaf5fd9d943d986),
LL(0x1df931f2f2eff2c3), LL(0x48dba8e3e3abe34b), LL(0x2ab6b95b5b715be2), LL(0x920dbc88881a8834),
LL(0xc8293e9a9a529aa4), LL(0xbe4c0b262698262d), LL(0xfa64bf3232c8328d), LL(0x4a7d59b0b0fab0e9),
LL(0x6acff2e9e983e91b), LL(0x331e770f0f3c0f78), LL(0xa6b733d5d573d5e6), LL(0xba1df480803a8074),
LL(0x7c6127bebec2be99), LL(0xde87ebcdcd13cd26), LL(0xe468893434d034bd), LL(0x75903248483d487a),
LL(0x24e354ffffdbffab), LL(0x8ff48d7a7af57af7), LL(0xea3d6490907a90f4), LL(0x3ebe9d5f5f615fc2),
LL(0xa0403d202080201d), LL(0xd5d00f6868bd6867), LL(0x7234ca1a1a681ad0), LL(0x2c41b7aeae82ae19),
LL(0x5e757db4b4eab4c9), LL(0x19a8ce54544d549a), LL(0xe53b7f93937693ec), LL(0xaa442f222288220d),
LL(0xe9c86364648d6407), LL(0x12ff2af1f1e3f1db), LL(0xa2e6cc7373d173bf), LL(0x5a24821212481290),
LL(0x5d807a40401d403a), LL(0x2810480808200840), LL(0xe89b95c3c32bc356), LL(0x7bc5dfecec97ec33),
LL(0x90ab4ddbdb4bdb96), LL(0x1f5fc0a1a1bea161), LL(0x8307918d8d0e8d1c), LL(0xc97ac83d3df43df5),
LL(0xf1335b97976697cc), LL(0x0000000000000000), LL(0xd483f9cfcf1bcf36), LL(0x87566e2b2bac2b45),
LL(0xb3ece17676c57697), LL(0xb019e68282328264), LL(0xa9b128d6d67fd6fe), LL(0x7736c31b1b6c1bd8),
LL(0x5b7774b5b5eeb5c1), LL(0x2943beafaf86af11), LL(0xdfd41d6a6ab56a77), LL(0x0da0ea50505d50ba),
LL(0x4c8a574545094512), LL(0x18fb38f3f3ebf3cb), LL(0xf060ad3030c0309d), LL(0x74c3c4efef9bef2b),
LL(0xc37eda3f3ffc3fe5), LL(0x1caac75555495592), LL(0x1059dba2a2b2a279), LL(0x65c9e9eaea8fea03),
LL(0xecca6a656589650f), LL(0x686903babad2bab9), LL(0x935e4a2f2fbc2f65), LL(0xe79d8ec0c027c04e),
LL(0x81a160dede5fdebe), LL(0x6c38fc1c1c701ce0), LL(0x2ee746fdfdd3fdbb), LL(0x649a1f4d4d294d52),
LL(0xe0397692927292e4), LL(0xbceafa7575c9758f), LL(0x1e0c360606180630), LL(0x9809ae8a8a128a24),
LL(0x40794bb2b2f2b2f9), LL(0x59d185e6e6bfe663), LL(0x361c7e0e0e380e70), LL(0x633ee71f1f7c1ff8),
LL(0xf7c4556262956237), LL(0xa3b53ad4d477d4ee), LL(0x324d81a8a89aa829), LL(0xf4315296966296c4),
LL(0x3aef62f9f9c3f99b), LL(0xf697a3c5c533c566), LL(0xb14a102525942535), LL(0x20b2ab59597959f2),
LL(0xae15d084842a8454), LL(0xa7e4c57272d572b7), LL(0xdd72ec3939e439d5), LL(0x6198164c4c2d4c5a),
LL(0x3bbc945e5e655eca), LL(0x85f09f7878fd78e7), LL(0xd870e53838e038dd), LL(0x8605988c8c0a8c14),
LL(0xb2bf17d1d163d1c6), LL(0x0b57e4a5a5aea541), LL(0x4dd9a1e2e2afe243), LL(0xf8c24e616199612f),
LL(0x457b42b3b3f6b3f1), LL(0xa542342121842115), LL(0xd625089c9c4a9c94), LL(0x663cee1e1e781ef0),
LL(0x5286614343114322), LL(0xfc93b1c7c73bc776), LL(0x2be54ffcfcd7fcb3), LL(0x1408240404100420),
LL(0x08a2e351515951b2), LL(0xc72f2599995e99bc), LL(0xc4da226d6da96d4f), LL(0x391a650d0d340d68),
LL(0x35e979fafacffa83), LL(0x84a369dfdf5bdfb6), LL(0x9bfca97e7ee57ed7), LL(0xb44819242490243d),
LL(0xd776fe3b3bec3bc5), LL(0x3d4b9aabab96ab31), LL(0xd181f0cece1fce3e), LL(0x5522991111441188),
LL(0x8903838f8f068f0c), LL(0x6b9c044e4e254e4a), LL(0x517366b7b7e6b7d1), LL(0x60cbe0ebeb8beb0b),
LL(0xcc78c13c3cf03cfd), LL(0xbf1ffd81813e817c), LL(0xfe354094946a94d4), LL(0x0cf31cf7f7fbf7eb),
LL(0x676f18b9b9deb9a1), LL(0x5f268b13134c1398), LL(0x9c58512c2cb02c7d), LL(0xb8bb05d3d36bd3d6),
LL(0x5cd38ce7e7bbe76b), LL(0xcbdc396e6ea56e57), LL(0xf395aac4c437c46e), LL(0x0f061b03030c0318),
LL(0x13acdc565645568a), LL(0x49885e44440d441a), LL(0x9efea07f7fe17fdf), LL(0x374f88a9a99ea921),
LL(0x8254672a2aa82a4d), LL(0x6d6b0abbbbd6bbb1), LL(0xe29f87c1c123c146), LL(0x02a6f153535153a2),
LL(0x8ba572dcdc57dcae), LL(0x2716530b0b2c0b58), LL(0xd327019d9d4e9d9c), LL(0xc1d82b6c6cad6c47),
LL(0xf562a43131c43195), LL(0xb9e8f37474cd7487), LL(0x09f115f6f6fff6e3), LL(0x438c4c464605460a),
LL(0x2645a5acac8aac09), LL(0x970fb589891e893c), LL(0x4428b414145014a0), LL(0x42dfbae1e1a3e15b),
LL(0x4e2ca616165816b0), LL(0xd274f73a3ae83acd), LL(0xd0d2066969b9696f), LL(0x2d12410909240948),
LL(0xade0d77070dd70a7), LL(0x54716fb6b6e2b6d9), LL(0xb7bd1ed0d067d0ce), LL(0x7ec7d6eded93ed3b),
LL(0xdb85e2cccc17cc2e), LL(0x578468424215422a), LL(0xc22d2c98985a98b4), LL(0x0e55eda4a4aaa449),
LL(0x8850752828a0285d), LL(0x31b8865c5c6d5cda), LL(0x3fed6bf8f8c7f893), LL(0xa411c28686228644),
LL(0x1823c6e887b8014f),
LL(0x36a6d2f5796f9152),
LL(0x60bc9b8ea30c7b35),
LL(0x1de0d7c22e4bfe57),
LL(0x157737e59ff04ada),
LL(0x58c9290ab1a06b85),
LL(0xbd5d10f4cb3e0567),
LL(0xe427418ba77d95d8),
LL(0xfbee7c66dd17479e),
LL(0xca2dbf07ad5a8333)
};
// Whirlpool basic transformation. Transforms state based on block.
void WhirlpoolTransform(uint64 *digest, const uint64 *block)
{
#if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
if (HasISSE())
{
// MMX version has the same structure as C version below
#ifdef __GNUC__
#if CRYPTOPP_BOOL_X64
uint64 workspace[16];
#endif
__asm__ __volatile__
(
".intel_syntax noprefix;"
AS_PUSH_IF86( bx)
AS2( mov AS_REG_6, WORD_REG(ax))
#else
#if _MSC_VER < 1300
AS_PUSH_IF86( bx)
#endif
AS2( lea AS_REG_6, [Whirlpool_C])
AS2( mov WORD_REG(cx), digest)
AS2( mov WORD_REG(dx), block)
#endif
#if CRYPTOPP_BOOL_X86
AS2( mov eax, esp)
AS2( and esp, -16)
AS2( sub esp, 16*8)
AS1( push eax)
#define SSE2_workspace esp+WORD_SZ
#else
#define SSE2_workspace %3
#endif
AS2( xor esi, esi)
ASL(0)
AS2( movq mm0, [WORD_REG(cx)+8*WORD_REG(si)])
AS2( movq [SSE2_workspace+8*WORD_REG(si)], mm0) // k
AS2( pxor mm0, [WORD_REG(dx)+8*WORD_REG(si)])
AS2( movq [SSE2_workspace+64+8*WORD_REG(si)], mm0) // s
AS2( movq [WORD_REG(cx)+8*WORD_REG(si)], mm0)
AS1( inc WORD_REG(si))
AS2( cmp WORD_REG(si), 8)
ASJ( jne, 0, b)
AS2( xor esi, esi)
ASL(1)
#define KSL0(a, b) AS2(movq mm##a, b)
#define KSL1(a, b) AS2(pxor mm##a, b)
#define KSL(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+8*i])\
AS2(movzx edi, al)\
KSL##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSL##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSL##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSL##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define KSH0(a, b) \
ASS(pshufw mm##a, mm##a, 1, 0, 3, 2)\
AS2(pxor mm##a, b)
#define KSH1(a, b) \
AS2(pxor mm##a, b)
#define KSH2(a, b) \
AS2(pxor mm##a, b)\
AS2(movq [SSE2_workspace+8*a], mm##a)
#define KSH(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+8*((i+4)-8*((i+4)/8))+4])\
AS2(movzx edi, al)\
KSH##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSH##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSH##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSH##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define TSL(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+64+8*i])\
AS2(movzx edi, al)\
KSL##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSL##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSL##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSL##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define TSH0(a, b) \
ASS(pshufw mm##a, mm##a, 1, 0, 3, 2)\
AS2(pxor mm##a, [SSE2_workspace+8*a])\
AS2(pxor mm##a, b)
#define TSH1(a, b) \
AS2(pxor mm##a, b)
#define TSH2(a, b) \
AS2(pxor mm##a, b)\
AS2(movq [SSE2_workspace+64+8*a], mm##a)
#define TSH3(a, b) \
AS2(pxor mm##a, b)\
AS2(pxor mm##a, [WORD_REG(cx)+8*a])\
AS2(movq [WORD_REG(cx)+8*a], mm##a)
#define TSH(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+64+8*((i+4)-8*((i+4)/8))+4])\
AS2(movzx edi, al)\
TSH##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
TSH##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
TSH##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
TSH##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
KSL(0, 4, 3, 2, 1, 0)
KSL(0, 0, 7, 6, 5, 4)
KSL(1, 1, 0, 7, 6, 5)
KSL(1, 2, 1, 0, 7, 6)
KSL(1, 3, 2, 1, 0, 7)
KSL(1, 5, 4, 3, 2, 1)
KSL(1, 6, 5, 4, 3, 2)
KSL(1, 7, 6, 5, 4, 3)
KSH(0, 0, 7, 6, 5, 4)
KSH(0, 4, 3, 2, 1, 0)
KSH(1, 1, 0, 7, 6, 5)
KSH(1, 2, 1, 0, 7, 6)
KSH(1, 5, 4, 3, 2, 1)
KSH(1, 6, 5, 4, 3, 2)
KSH(2, 3, 2, 1, 0, 7)
KSH(2, 7, 6, 5, 4, 3)
AS2( pxor mm0, [AS_REG_6 + 8*1024 + WORD_REG(si)*8])
AS2( movq [SSE2_workspace], mm0)
TSL(0, 4, 3, 2, 1, 0)
TSL(0, 0, 7, 6, 5, 4)
TSL(1, 1, 0, 7, 6, 5)
TSL(1, 2, 1, 0, 7, 6)
TSL(1, 3, 2, 1, 0, 7)
TSL(1, 5, 4, 3, 2, 1)
TSL(1, 6, 5, 4, 3, 2)
TSL(1, 7, 6, 5, 4, 3)
TSH(0, 0, 7, 6, 5, 4)
TSH(0, 4, 3, 2, 1, 0)
TSH(1, 1, 0, 7, 6, 5)
TSH(1, 2, 1, 0, 7, 6)
TSH(1, 5, 4, 3, 2, 1)
TSH(1, 6, 5, 4, 3, 2)
AS1( inc WORD_REG(si))
AS2( cmp WORD_REG(si), 10)
ASJ( je, 2, f)
TSH(2, 3, 2, 1, 0, 7)
TSH(2, 7, 6, 5, 4, 3)
ASJ( jmp, 1, b)
ASL(2)
TSH(3, 3, 2, 1, 0, 7)
TSH(3, 7, 6, 5, 4, 3)
#undef KSL
#undef KSH
#undef TSL
#undef TSH
AS_POP_IF86( sp)
AS1( emms)
#if defined(__GNUC__) || (defined(_MSC_VER) && _MSC_VER < 1300)
AS_POP_IF86( bx)
#endif
#ifdef __GNUC__
".att_syntax prefix;"
:
: "a" (Whirlpool_C), "c" (digest), "d" (block)
#if CRYPTOPP_BOOL_X64
, "r" (workspace)
#endif
: "%esi", "%edi", "memory", "cc"
#if CRYPTOPP_BOOL_X64
, "%r9"
#endif
);
#endif
}
else
#endif // #ifdef CRYPTOPP_X86_ASM_AVAILABLE
{
uint64 s[8]; // the cipher state
uint64 k[8]; // the round key
int r;
// Compute and apply K^0 to the cipher state
// Also apply part of the Miyaguchi-Preneel compression function
for (r=0; r<8; r++)
digest[r] = s[r] = block[r] ^ (k[r] = digest[r]);
#define KSL(op, i, a, b, c, d) \
t = (uint32)k[i];\
w##a = Whirlpool_C[3*256 + (byte)t] ^ (op ? w##a : 0);\
t >>= 8;\
w##b = Whirlpool_C[2*256 + (byte)t] ^ (op ? w##b : 0);\
t >>= 8;\
w##c = Whirlpool_C[1*256 + (byte)t] ^ (op ? w##c : 0);\
t >>= 8;\
w##d = Whirlpool_C[0*256 + t] ^ (op ? w##d : 0);
#define KSH(op, i, a, b, c, d) \
t = (uint32)(k[(i+4)%8]>>32);\
w##a = Whirlpool_C[3*256 + (byte)t] ^ (op ? w##a : rotr64(w##a, 32));\
if (op==2) k[a] = w##a;\
t >>= 8;\
w##b = Whirlpool_C[2*256 + (byte)t] ^ (op ? w##b : rotr64(w##b, 32));\
if (op==2) k[b] = w##b;\
t >>= 8;\
w##c = Whirlpool_C[1*256 + (byte)t] ^ (op ? w##c : rotr64(w##c, 32));\
if (op==2) k[c] = w##c;\
t >>= 8;\
w##d = Whirlpool_C[0*256 + t] ^ (op ? w##d : rotr64(w##d, 32));\
if (op==2) k[d] = w##d;\
#define TSL(op, i, a, b, c, d) \
t = (uint32)s[i];\
w##a = Whirlpool_C[3*256 + (byte)t] ^ (op ? w##a : 0);\
t >>= 8;\
w##b = Whirlpool_C[2*256 + (byte)t] ^ (op ? w##b : 0);\
t >>= 8;\
w##c = Whirlpool_C[1*256 + (byte)t] ^ (op ? w##c : 0);\
t >>= 8;\
w##d = Whirlpool_C[0*256 + t] ^ (op ? w##d : 0);
#define TSH_OP(op, a, b) \
w##a = Whirlpool_C[b*256 + (byte)t] ^ (op ? w##a : rotr64(w##a, 32) ^ k[a]);\
if (op==2) s[a] = w##a;\
if (op==3) digest[a] ^= w##a;\
#define TSH(op, i, a, b, c, d) \
t = (uint32)(s[(i+4)%8]>>32);\
TSH_OP(op, a, 3);\
t >>= 8;\
TSH_OP(op, b, 2);\
t >>= 8;\
TSH_OP(op, c, 1);\
t >>= 8;\
TSH_OP(op, d, 0);\
// Iterate over all rounds:
r=0;
while (1)
{
uint64 w0, w1, w2, w3, w4, w5, w6, w7; // temporary storage
uint32 t;
KSL(0, 4, 3, 2, 1, 0)
KSL(0, 0, 7, 6, 5, 4)
KSL(1, 1, 0, 7, 6, 5)
KSL(1, 2, 1, 0, 7, 6)
KSL(1, 3, 2, 1, 0, 7)
KSL(1, 5, 4, 3, 2, 1)
KSL(1, 6, 5, 4, 3, 2)
KSL(1, 7, 6, 5, 4, 3)
KSH(0, 0, 7, 6, 5, 4)
KSH(0, 4, 3, 2, 1, 0)
KSH(1, 1, 0, 7, 6, 5)
KSH(1, 2, 1, 0, 7, 6)
KSH(1, 5, 4, 3, 2, 1)
KSH(1, 6, 5, 4, 3, 2)
KSH(2, 3, 2, 1, 0, 7)
KSH(2, 7, 6, 5, 4, 3)
k[0] ^= Whirlpool_C[1024+r];
TSL(0, 4, 3, 2, 1, 0)
TSL(0, 0, 7, 6, 5, 4)
TSL(1, 1, 0, 7, 6, 5)
TSL(1, 2, 1, 0, 7, 6)
TSL(1, 3, 2, 1, 0, 7)
TSL(1, 5, 4, 3, 2, 1)
TSL(1, 6, 5, 4, 3, 2)
TSL(1, 7, 6, 5, 4, 3)
TSH(0, 0, 7, 6, 5, 4)
TSH(0, 4, 3, 2, 1, 0)
TSH(1, 1, 0, 7, 6, 5)
TSH(1, 2, 1, 0, 7, 6)
TSH(1, 5, 4, 3, 2, 1)
TSH(1, 6, 5, 4, 3, 2)
if (++r < R)
{
TSH(2, 3, 2, 1, 0, 7)
TSH(2, 7, 6, 5, 4, 3)
}
else
{
TSH(3, 3, 2, 1, 0, 7)
TSH(3, 7, 6, 5, 4, 3)
break;
}
}
}
}
static uint64 HashMultipleBlocks(WHIRLPOOL_CTX * const ctx, const uint64 *input, uint64 length)
{
uint64* dataBuf = ctx->data;
do
{
#if BYTE_ORDER == BIG_ENDIAN
WhirlpoolTransform(ctx->state, input);
#else
CorrectEndianess(dataBuf, input, 64);
WhirlpoolTransform(ctx->state, dataBuf);
#endif
input += 8;
length -= 64;
}
while (length >= 64);
return length;
}
/**
* Initialize the hashing state.
*/
void WHIRLPOOL_init(WHIRLPOOL_CTX * const ctx) {
ctx->countHi = 0;
ctx->countLo = 0;
memset (ctx->data, 0, 8 * sizeof (uint64));
memset (ctx->state, 0, 8 * sizeof (uint64));
}
/**
* Delivers input data to the hashing algorithm.
*
* @param source plaintext data to hash.
* @param sourceBits how many bits of plaintext to process.
*
* This method maintains the invariant: bufferBits < DIGESTBITS
*/
void WHIRLPOOL_add(const unsigned char * input,
unsigned __int32 sourceBits,
WHIRLPOOL_CTX * const ctx)
{
uint64 num, oldCountLo = ctx->countLo, oldCountHi = ctx->countHi;
uint64 len = sourceBits >> 3;
if ((ctx->countLo = oldCountLo + (uint64)len) < oldCountLo)
ctx->countHi++; // carry from low to high
if (ctx->countHi < oldCountHi)
return;
else
{
uint64* dataBuf = ctx->data;
byte* data = (byte *)dataBuf;
num = oldCountLo & 63;
if (num != 0) // process left over data
{
if (num+len >= 64)
{
memcpy(data+num, input, (size_t) (64-num));
HashMultipleBlocks(ctx, dataBuf, 64);
input += (64-num);
len -= (64-num);
num = 0;
// drop through and do the rest
}
else
{
memcpy(data+num, input, (size_t) len);
return;
}
}
// now process the input data in blocks of 64 bytes and save the leftovers to ctx->data
if (len >= 64)
{
if (input == data)
{
HashMultipleBlocks(ctx, dataBuf, 64);
return;
}
else if (IsAligned16(input))
{
uint64 leftOver = HashMultipleBlocks(ctx, (uint64 *)input, len);
input += (len - leftOver);
len = leftOver;
}
else
do
{ // copy input first if it's not aligned correctly
memcpy(data, input, 64);
HashMultipleBlocks(ctx, dataBuf, 64);
input+=64;
len-=64;
} while (len >= 64);
}
if (len && data != input)
memcpy(data, input, (size_t) len);
}
}
/**
* Get the hash value from the hashing state.
*
* This method uses the invariant: bufferBits < DIGESTBITS
*/
void WHIRLPOOL_finalize(WHIRLPOOL_CTX * const ctx,
unsigned char * result)
{
unsigned int num = ctx->countLo & 63;
uint64* dataBuf = ctx->data;
uint64* stateBuf = ctx->state;
byte* data = (byte *)dataBuf;
data[num++] = 0x80;
if (num <= 32)
memset(data+num, 0, 32-num);
else
{
memset(data+num, 0, 64-num);
HashMultipleBlocks(ctx, dataBuf, 64);
memset(data, 0, 32);
}
#if BYTE_ORDER == LITTLE_ENDIAN
CorrectEndianess(dataBuf, dataBuf, 32);
#endif
dataBuf[4] = 0;
dataBuf[5] = 0;
dataBuf[6] = (ctx->countLo >> (8*sizeof(uint64)-3)) + (ctx->countHi << 3);
dataBuf[7] = ctx->countLo << 3;
WhirlpoolTransform(stateBuf, dataBuf);
#if BYTE_ORDER == LITTLE_ENDIAN
CorrectEndianess(stateBuf, stateBuf, 64);
#endif
memcpy(result, stateBuf, 64);
}
|
