-
Notifications
You must be signed in to change notification settings - Fork 162
/
element_exp.go
811 lines (629 loc) · 17.9 KB
/
element_exp.go
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
// Copyright 2020 ConsenSys Software Inc.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// Code generated by consensys/gnark-crypto DO NOT EDIT
package fr
// expBySqrtExp is equivalent to z.Exp(x, 32dbd584953b42564bf8fd939f24f531918901d9cc89c6c833a18bfa01)
//
// uses github.com/mmcloughlin/addchain v0.4.0 to generate a shorter addition chain
func (z *Element) expBySqrtExp(x Element) *Element {
// addition chain:
//
// _10 = 2*1
// _100 = 2*_10
// _101 = 1 + _100
// _110 = 1 + _101
// _1001 = _100 + _101
// _1011 = _10 + _1001
// _1111 = _100 + _1011
// _10011 = _100 + _1111
// _10101 = _10 + _10011
// _11001 = _100 + _10101
// _11011 = _10 + _11001
// _100001 = _110 + _11011
// _100111 = _110 + _100001
// _101011 = _100 + _100111
// _110001 = _110 + _101011
// _110011 = _10 + _110001
// _111001 = _110 + _110011
// _111011 = _10 + _111001
// _111101 = _10 + _111011
// _111111 = _10 + _111101
// _1100100 = _100111 + _111101
// _1111111 = _11011 + _1100100
// i40 = ((_1100100 << 4 + _11011) << 7 + _111101) << 5
// i58 = ((_1011 + i40) << 8 + _1001) << 7 + _10101
// i83 = ((i58 << 8 + _111011) << 7 + _100001) << 8
// i100 = ((_101011 + i83) << 6 + _1001) << 8 + _1111111
// i125 = ((i100 << 9 + _111111) << 6 + _11001) << 8
// i138 = ((_111001 + i125) << 4 + _1111) << 6 + _1001
// i162 = ((i138 << 8 + _111101) << 6 + _10011) << 8
// i177 = ((_11001 + i162) << 9 + _110001) << 3 + 1
// i204 = ((i177 << 13 + _111011) << 8 + _111001) << 4
// i224 = ((_1001 + i204) << 9 + _100111) << 8 + _11011
// i243 = ((i224 << 3 + 1) << 11 + _110011) << 3
// i264 = ((_101 + i243) << 10 + _110001) << 8 + _1111111
// return (i264 << 2 + 1) << 9 + 1
//
// Operations: 225 squares 52 multiplies
// Allocate Temporaries.
var (
t0 = new(Element)
t1 = new(Element)
t2 = new(Element)
t3 = new(Element)
t4 = new(Element)
t5 = new(Element)
t6 = new(Element)
t7 = new(Element)
t8 = new(Element)
t9 = new(Element)
t10 = new(Element)
t11 = new(Element)
t12 = new(Element)
t13 = new(Element)
t14 = new(Element)
t15 = new(Element)
t16 = new(Element)
t17 = new(Element)
)
// var t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16,t17 Element
// Step 1: z = x^0x2
z.Square(&x)
// Step 2: t0 = x^0x4
t0.Square(z)
// Step 3: t1 = x^0x5
t1.Mul(&x, t0)
// Step 4: t6 = x^0x6
t6.Mul(&x, t1)
// Step 5: t5 = x^0x9
t5.Mul(t0, t1)
// Step 6: t16 = x^0xb
t16.Mul(z, t5)
// Step 7: t11 = x^0xf
t11.Mul(t0, t16)
// Step 8: t9 = x^0x13
t9.Mul(t0, t11)
// Step 9: t15 = x^0x15
t15.Mul(z, t9)
// Step 10: t8 = x^0x19
t8.Mul(t0, t15)
// Step 11: t3 = x^0x1b
t3.Mul(z, t8)
// Step 12: t14 = x^0x21
t14.Mul(t6, t3)
// Step 13: t4 = x^0x27
t4.Mul(t6, t14)
// Step 14: t13 = x^0x2b
t13.Mul(t0, t4)
// Step 15: t0 = x^0x31
t0.Mul(t6, t13)
// Step 16: t2 = x^0x33
t2.Mul(z, t0)
// Step 17: t6 = x^0x39
t6.Mul(t6, t2)
// Step 18: t7 = x^0x3b
t7.Mul(z, t6)
// Step 19: t10 = x^0x3d
t10.Mul(z, t7)
// Step 20: t12 = x^0x3f
t12.Mul(z, t10)
// Step 21: t17 = x^0x64
t17.Mul(t4, t10)
// Step 22: z = x^0x7f
z.Mul(t3, t17)
// Step 26: t17 = x^0x640
for s := 0; s < 4; s++ {
t17.Square(t17)
}
// Step 27: t17 = x^0x65b
t17.Mul(t3, t17)
// Step 34: t17 = x^0x32d80
for s := 0; s < 7; s++ {
t17.Square(t17)
}
// Step 35: t17 = x^0x32dbd
t17.Mul(t10, t17)
// Step 40: t17 = x^0x65b7a0
for s := 0; s < 5; s++ {
t17.Square(t17)
}
// Step 41: t16 = x^0x65b7ab
t16.Mul(t16, t17)
// Step 49: t16 = x^0x65b7ab00
for s := 0; s < 8; s++ {
t16.Square(t16)
}
// Step 50: t16 = x^0x65b7ab09
t16.Mul(t5, t16)
// Step 57: t16 = x^0x32dbd58480
for s := 0; s < 7; s++ {
t16.Square(t16)
}
// Step 58: t15 = x^0x32dbd58495
t15.Mul(t15, t16)
// Step 66: t15 = x^0x32dbd5849500
for s := 0; s < 8; s++ {
t15.Square(t15)
}
// Step 67: t15 = x^0x32dbd584953b
t15.Mul(t7, t15)
// Step 74: t15 = x^0x196deac24a9d80
for s := 0; s < 7; s++ {
t15.Square(t15)
}
// Step 75: t14 = x^0x196deac24a9da1
t14.Mul(t14, t15)
// Step 83: t14 = x^0x196deac24a9da100
for s := 0; s < 8; s++ {
t14.Square(t14)
}
// Step 84: t13 = x^0x196deac24a9da12b
t13.Mul(t13, t14)
// Step 90: t13 = x^0x65b7ab092a7684ac0
for s := 0; s < 6; s++ {
t13.Square(t13)
}
// Step 91: t13 = x^0x65b7ab092a7684ac9
t13.Mul(t5, t13)
// Step 99: t13 = x^0x65b7ab092a7684ac900
for s := 0; s < 8; s++ {
t13.Square(t13)
}
// Step 100: t13 = x^0x65b7ab092a7684ac97f
t13.Mul(z, t13)
// Step 109: t13 = x^0xcb6f561254ed09592fe00
for s := 0; s < 9; s++ {
t13.Square(t13)
}
// Step 110: t12 = x^0xcb6f561254ed09592fe3f
t12.Mul(t12, t13)
// Step 116: t12 = x^0x32dbd584953b42564bf8fc0
for s := 0; s < 6; s++ {
t12.Square(t12)
}
// Step 117: t12 = x^0x32dbd584953b42564bf8fd9
t12.Mul(t8, t12)
// Step 125: t12 = x^0x32dbd584953b42564bf8fd900
for s := 0; s < 8; s++ {
t12.Square(t12)
}
// Step 126: t12 = x^0x32dbd584953b42564bf8fd939
t12.Mul(t6, t12)
// Step 130: t12 = x^0x32dbd584953b42564bf8fd9390
for s := 0; s < 4; s++ {
t12.Square(t12)
}
// Step 131: t11 = x^0x32dbd584953b42564bf8fd939f
t11.Mul(t11, t12)
// Step 137: t11 = x^0xcb6f561254ed09592fe3f64e7c0
for s := 0; s < 6; s++ {
t11.Square(t11)
}
// Step 138: t11 = x^0xcb6f561254ed09592fe3f64e7c9
t11.Mul(t5, t11)
// Step 146: t11 = x^0xcb6f561254ed09592fe3f64e7c900
for s := 0; s < 8; s++ {
t11.Square(t11)
}
// Step 147: t10 = x^0xcb6f561254ed09592fe3f64e7c93d
t10.Mul(t10, t11)
// Step 153: t10 = x^0x32dbd584953b42564bf8fd939f24f40
for s := 0; s < 6; s++ {
t10.Square(t10)
}
// Step 154: t9 = x^0x32dbd584953b42564bf8fd939f24f53
t9.Mul(t9, t10)
// Step 162: t9 = x^0x32dbd584953b42564bf8fd939f24f5300
for s := 0; s < 8; s++ {
t9.Square(t9)
}
// Step 163: t8 = x^0x32dbd584953b42564bf8fd939f24f5319
t8.Mul(t8, t9)
// Step 172: t8 = x^0x65b7ab092a7684ac97f1fb273e49ea63200
for s := 0; s < 9; s++ {
t8.Square(t8)
}
// Step 173: t8 = x^0x65b7ab092a7684ac97f1fb273e49ea63231
t8.Mul(t0, t8)
// Step 176: t8 = x^0x32dbd584953b42564bf8fd939f24f5319188
for s := 0; s < 3; s++ {
t8.Square(t8)
}
// Step 177: t8 = x^0x32dbd584953b42564bf8fd939f24f5319189
t8.Mul(&x, t8)
// Step 190: t8 = x^0x65b7ab092a7684ac97f1fb273e49ea632312000
for s := 0; s < 13; s++ {
t8.Square(t8)
}
// Step 191: t7 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b
t7.Mul(t7, t8)
// Step 199: t7 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b00
for s := 0; s < 8; s++ {
t7.Square(t7)
}
// Step 200: t6 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b39
t6.Mul(t6, t7)
// Step 204: t6 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b390
for s := 0; s < 4; s++ {
t6.Square(t6)
}
// Step 205: t5 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399
t5.Mul(t5, t6)
// Step 214: t5 = x^0xcb6f561254ed09592fe3f64e7c93d4c6462407673200
for s := 0; s < 9; s++ {
t5.Square(t5)
}
// Step 215: t4 = x^0xcb6f561254ed09592fe3f64e7c93d4c6462407673227
t4.Mul(t4, t5)
// Step 223: t4 = x^0xcb6f561254ed09592fe3f64e7c93d4c646240767322700
for s := 0; s < 8; s++ {
t4.Square(t4)
}
// Step 224: t3 = x^0xcb6f561254ed09592fe3f64e7c93d4c64624076732271b
t3.Mul(t3, t4)
// Step 227: t3 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d8
for s := 0; s < 3; s++ {
t3.Square(t3)
}
// Step 228: t3 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9
t3.Mul(&x, t3)
// Step 239: t3 = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c800
for s := 0; s < 11; s++ {
t3.Square(t3)
}
// Step 240: t2 = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c833
t2.Mul(t2, t3)
// Step 243: t2 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e364198
for s := 0; s < 3; s++ {
t2.Square(t2)
}
// Step 244: t1 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d
t1.Mul(t1, t2)
// Step 254: t1 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9067400
for s := 0; s < 10; s++ {
t1.Square(t1)
}
// Step 255: t0 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9067431
t0.Mul(t0, t1)
// Step 263: t0 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d906743100
for s := 0; s < 8; s++ {
t0.Square(t0)
}
// Step 264: z = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d90674317f
z.Mul(z, t0)
// Step 266: z = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d0c5fc
for s := 0; s < 2; s++ {
z.Square(z)
}
// Step 267: z = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d0c5fd
z.Mul(&x, z)
// Step 276: z = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c833a18bfa00
for s := 0; s < 9; s++ {
z.Square(z)
}
// Step 277: z = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c833a18bfa01
z.Mul(&x, z)
return z
}
// expByLegendreExp is equivalent to z.Exp(x, cb6f561254ed09592fe3f64e7c93d4c64624076732271b20ce862fe80600000)
//
// uses github.com/mmcloughlin/addchain v0.4.0 to generate a shorter addition chain
func (z *Element) expByLegendreExp(x Element) *Element {
// addition chain:
//
// _10 = 2*1
// _11 = 1 + _10
// _100 = 1 + _11
// _101 = 1 + _100
// _110 = 1 + _101
// _1001 = _11 + _110
// _1011 = _10 + _1001
// _1111 = _100 + _1011
// _10011 = _100 + _1111
// _10101 = _10 + _10011
// _11001 = _100 + _10101
// _11011 = _10 + _11001
// _100001 = _110 + _11011
// _100111 = _110 + _100001
// _101011 = _100 + _100111
// _110001 = _110 + _101011
// _110011 = _10 + _110001
// _111001 = _110 + _110011
// _111011 = _10 + _111001
// _111101 = _10 + _111011
// _111111 = _10 + _111101
// _1100100 = _100111 + _111101
// _1111111 = _11011 + _1100100
// i41 = ((_1100100 << 4 + _11011) << 7 + _111101) << 5
// i59 = ((_1011 + i41) << 8 + _1001) << 7 + _10101
// i84 = ((i59 << 8 + _111011) << 7 + _100001) << 8
// i101 = ((_101011 + i84) << 6 + _1001) << 8 + _1111111
// i126 = ((i101 << 9 + _111111) << 6 + _11001) << 8
// i139 = ((_111001 + i126) << 4 + _1111) << 6 + _1001
// i163 = ((i139 << 8 + _111101) << 6 + _10011) << 8
// i178 = ((_11001 + i163) << 9 + _110001) << 3 + 1
// i205 = ((i178 << 13 + _111011) << 8 + _111001) << 4
// i225 = ((_1001 + i205) << 9 + _100111) << 8 + _11011
// i244 = ((i225 << 3 + 1) << 11 + _110011) << 3
// i265 = ((_101 + i244) << 10 + _110001) << 8 + _1111111
// return ((i265 << 2 + 1) << 10 + _11) << 21
//
// Operations: 246 squares 54 multiplies
// Allocate Temporaries.
var (
t0 = new(Element)
t1 = new(Element)
t2 = new(Element)
t3 = new(Element)
t4 = new(Element)
t5 = new(Element)
t6 = new(Element)
t7 = new(Element)
t8 = new(Element)
t9 = new(Element)
t10 = new(Element)
t11 = new(Element)
t12 = new(Element)
t13 = new(Element)
t14 = new(Element)
t15 = new(Element)
t16 = new(Element)
t17 = new(Element)
t18 = new(Element)
)
// var t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16,t17,t18 Element
// Step 1: t0 = x^0x2
t0.Square(&x)
// Step 2: z = x^0x3
z.Mul(&x, t0)
// Step 3: t1 = x^0x4
t1.Mul(&x, z)
// Step 4: t2 = x^0x5
t2.Mul(&x, t1)
// Step 5: t7 = x^0x6
t7.Mul(&x, t2)
// Step 6: t6 = x^0x9
t6.Mul(z, t7)
// Step 7: t17 = x^0xb
t17.Mul(t0, t6)
// Step 8: t12 = x^0xf
t12.Mul(t1, t17)
// Step 9: t10 = x^0x13
t10.Mul(t1, t12)
// Step 10: t16 = x^0x15
t16.Mul(t0, t10)
// Step 11: t9 = x^0x19
t9.Mul(t1, t16)
// Step 12: t4 = x^0x1b
t4.Mul(t0, t9)
// Step 13: t15 = x^0x21
t15.Mul(t7, t4)
// Step 14: t5 = x^0x27
t5.Mul(t7, t15)
// Step 15: t14 = x^0x2b
t14.Mul(t1, t5)
// Step 16: t1 = x^0x31
t1.Mul(t7, t14)
// Step 17: t3 = x^0x33
t3.Mul(t0, t1)
// Step 18: t7 = x^0x39
t7.Mul(t7, t3)
// Step 19: t8 = x^0x3b
t8.Mul(t0, t7)
// Step 20: t11 = x^0x3d
t11.Mul(t0, t8)
// Step 21: t13 = x^0x3f
t13.Mul(t0, t11)
// Step 22: t18 = x^0x64
t18.Mul(t5, t11)
// Step 23: t0 = x^0x7f
t0.Mul(t4, t18)
// Step 27: t18 = x^0x640
for s := 0; s < 4; s++ {
t18.Square(t18)
}
// Step 28: t18 = x^0x65b
t18.Mul(t4, t18)
// Step 35: t18 = x^0x32d80
for s := 0; s < 7; s++ {
t18.Square(t18)
}
// Step 36: t18 = x^0x32dbd
t18.Mul(t11, t18)
// Step 41: t18 = x^0x65b7a0
for s := 0; s < 5; s++ {
t18.Square(t18)
}
// Step 42: t17 = x^0x65b7ab
t17.Mul(t17, t18)
// Step 50: t17 = x^0x65b7ab00
for s := 0; s < 8; s++ {
t17.Square(t17)
}
// Step 51: t17 = x^0x65b7ab09
t17.Mul(t6, t17)
// Step 58: t17 = x^0x32dbd58480
for s := 0; s < 7; s++ {
t17.Square(t17)
}
// Step 59: t16 = x^0x32dbd58495
t16.Mul(t16, t17)
// Step 67: t16 = x^0x32dbd5849500
for s := 0; s < 8; s++ {
t16.Square(t16)
}
// Step 68: t16 = x^0x32dbd584953b
t16.Mul(t8, t16)
// Step 75: t16 = x^0x196deac24a9d80
for s := 0; s < 7; s++ {
t16.Square(t16)
}
// Step 76: t15 = x^0x196deac24a9da1
t15.Mul(t15, t16)
// Step 84: t15 = x^0x196deac24a9da100
for s := 0; s < 8; s++ {
t15.Square(t15)
}
// Step 85: t14 = x^0x196deac24a9da12b
t14.Mul(t14, t15)
// Step 91: t14 = x^0x65b7ab092a7684ac0
for s := 0; s < 6; s++ {
t14.Square(t14)
}
// Step 92: t14 = x^0x65b7ab092a7684ac9
t14.Mul(t6, t14)
// Step 100: t14 = x^0x65b7ab092a7684ac900
for s := 0; s < 8; s++ {
t14.Square(t14)
}
// Step 101: t14 = x^0x65b7ab092a7684ac97f
t14.Mul(t0, t14)
// Step 110: t14 = x^0xcb6f561254ed09592fe00
for s := 0; s < 9; s++ {
t14.Square(t14)
}
// Step 111: t13 = x^0xcb6f561254ed09592fe3f
t13.Mul(t13, t14)
// Step 117: t13 = x^0x32dbd584953b42564bf8fc0
for s := 0; s < 6; s++ {
t13.Square(t13)
}
// Step 118: t13 = x^0x32dbd584953b42564bf8fd9
t13.Mul(t9, t13)
// Step 126: t13 = x^0x32dbd584953b42564bf8fd900
for s := 0; s < 8; s++ {
t13.Square(t13)
}
// Step 127: t13 = x^0x32dbd584953b42564bf8fd939
t13.Mul(t7, t13)
// Step 131: t13 = x^0x32dbd584953b42564bf8fd9390
for s := 0; s < 4; s++ {
t13.Square(t13)
}
// Step 132: t12 = x^0x32dbd584953b42564bf8fd939f
t12.Mul(t12, t13)
// Step 138: t12 = x^0xcb6f561254ed09592fe3f64e7c0
for s := 0; s < 6; s++ {
t12.Square(t12)
}
// Step 139: t12 = x^0xcb6f561254ed09592fe3f64e7c9
t12.Mul(t6, t12)
// Step 147: t12 = x^0xcb6f561254ed09592fe3f64e7c900
for s := 0; s < 8; s++ {
t12.Square(t12)
}
// Step 148: t11 = x^0xcb6f561254ed09592fe3f64e7c93d
t11.Mul(t11, t12)
// Step 154: t11 = x^0x32dbd584953b42564bf8fd939f24f40
for s := 0; s < 6; s++ {
t11.Square(t11)
}
// Step 155: t10 = x^0x32dbd584953b42564bf8fd939f24f53
t10.Mul(t10, t11)
// Step 163: t10 = x^0x32dbd584953b42564bf8fd939f24f5300
for s := 0; s < 8; s++ {
t10.Square(t10)
}
// Step 164: t9 = x^0x32dbd584953b42564bf8fd939f24f5319
t9.Mul(t9, t10)
// Step 173: t9 = x^0x65b7ab092a7684ac97f1fb273e49ea63200
for s := 0; s < 9; s++ {
t9.Square(t9)
}
// Step 174: t9 = x^0x65b7ab092a7684ac97f1fb273e49ea63231
t9.Mul(t1, t9)
// Step 177: t9 = x^0x32dbd584953b42564bf8fd939f24f5319188
for s := 0; s < 3; s++ {
t9.Square(t9)
}
// Step 178: t9 = x^0x32dbd584953b42564bf8fd939f24f5319189
t9.Mul(&x, t9)
// Step 191: t9 = x^0x65b7ab092a7684ac97f1fb273e49ea632312000
for s := 0; s < 13; s++ {
t9.Square(t9)
}
// Step 192: t8 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b
t8.Mul(t8, t9)
// Step 200: t8 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b00
for s := 0; s < 8; s++ {
t8.Square(t8)
}
// Step 201: t7 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b39
t7.Mul(t7, t8)
// Step 205: t7 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b390
for s := 0; s < 4; s++ {
t7.Square(t7)
}
// Step 206: t6 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399
t6.Mul(t6, t7)
// Step 215: t6 = x^0xcb6f561254ed09592fe3f64e7c93d4c6462407673200
for s := 0; s < 9; s++ {
t6.Square(t6)
}
// Step 216: t5 = x^0xcb6f561254ed09592fe3f64e7c93d4c6462407673227
t5.Mul(t5, t6)
// Step 224: t5 = x^0xcb6f561254ed09592fe3f64e7c93d4c646240767322700
for s := 0; s < 8; s++ {
t5.Square(t5)
}
// Step 225: t4 = x^0xcb6f561254ed09592fe3f64e7c93d4c64624076732271b
t4.Mul(t4, t5)
// Step 228: t4 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d8
for s := 0; s < 3; s++ {
t4.Square(t4)
}
// Step 229: t4 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9
t4.Mul(&x, t4)
// Step 240: t4 = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c800
for s := 0; s < 11; s++ {
t4.Square(t4)
}
// Step 241: t3 = x^0x32dbd584953b42564bf8fd939f24f531918901d9cc89c6c833
t3.Mul(t3, t4)
// Step 244: t3 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e364198
for s := 0; s < 3; s++ {
t3.Square(t3)
}
// Step 245: t2 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d
t2.Mul(t2, t3)
// Step 255: t2 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9067400
for s := 0; s < 10; s++ {
t2.Square(t2)
}
// Step 256: t1 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d9067431
t1.Mul(t1, t2)
// Step 264: t1 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d906743100
for s := 0; s < 8; s++ {
t1.Square(t1)
}
// Step 265: t0 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d90674317f
t0.Mul(t0, t1)
// Step 267: t0 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d0c5fc
for s := 0; s < 2; s++ {
t0.Square(t0)
}
// Step 268: t0 = x^0x196deac24a9da12b25fc7ec9cf927a98c8c480ece644e36419d0c5fd
t0.Mul(&x, t0)
// Step 278: t0 = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d90674317f400
for s := 0; s < 10; s++ {
t0.Square(t0)
}
// Step 279: z = x^0x65b7ab092a7684ac97f1fb273e49ea63231203b399138d90674317f403
z.Mul(z, t0)
// Step 300: z = x^0xcb6f561254ed09592fe3f64e7c93d4c64624076732271b20ce862fe80600000
for s := 0; s < 21; s++ {
z.Square(z)
}
return z
}