-
Notifications
You must be signed in to change notification settings - Fork 160
/
element_exp.go
701 lines (543 loc) · 15.5 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
// 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, 39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7fffffff)
//
// 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
// _110 = _10 + _100
// _1100 = 2*_110
// _10010 = _110 + _1100
// _10011 = 1 + _10010
// _10110 = _100 + _10010
// _11000 = _10 + _10110
// _11010 = _10 + _11000
// _100010 = _1100 + _10110
// _110101 = _10011 + _100010
// _111011 = _110 + _110101
// _1001011 = _10110 + _110101
// _1001101 = _10 + _1001011
// _1010101 = _11010 + _111011
// _1100111 = _10010 + _1010101
// _1101001 = _10 + _1100111
// _10000011 = _11010 + _1101001
// _10011001 = _10110 + _10000011
// _10011101 = _100 + _10011001
// _10111111 = _100010 + _10011101
// _11010111 = _11000 + _10111111
// _11011011 = _100 + _11010111
// _11100111 = _1100 + _11011011
// _11101111 = _11000 + _11010111
// _11111111 = _11000 + _11100111
// i54 = ((_11100111 << 8 + _11011011) << 9 + _10011101) << 9
// i74 = ((_10011001 + i54) << 9 + _10011001) << 8 + _11010111
// i101 = ((i74 << 6 + _110101) << 10 + _10000011) << 9
// i120 = ((_1100111 + i101) << 8 + _111011) << 8 + 1
// i161 = ((i120 << 14 + _1001101) << 10 + _111011) << 15
// i182 = ((_1010101 + i161) << 10 + _11101111) << 8 + _1101001
// i215 = ((i182 << 16 + _10111111) << 8 + _11111111) << 7
// i235 = ((_1001011 + i215) << 9 + _11111111) << 8 + _10111111
// i261 = ((i235 << 8 + _11111111) << 8 + _11111111) << 8
// return 2*(_11111111 + i261) + 1
//
// Operations: 217 squares 47 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)
)
// var t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14 Element
// Step 1: t2 = x^0x2
t2.Square(&x)
// Step 2: t13 = x^0x4
t13.Square(t2)
// Step 3: t1 = x^0x6
t1.Mul(t2, t13)
// Step 4: t3 = x^0xc
t3.Square(t1)
// Step 5: t7 = x^0x12
t7.Mul(t1, t3)
// Step 6: t4 = x^0x13
t4.Mul(&x, t7)
// Step 7: t10 = x^0x16
t10.Mul(t13, t7)
// Step 8: z = x^0x18
z.Mul(t2, t10)
// Step 9: t8 = x^0x1a
t8.Mul(t2, z)
// Step 10: t0 = x^0x22
t0.Mul(t3, t10)
// Step 11: t9 = x^0x35
t9.Mul(t4, t0)
// Step 12: t5 = x^0x3b
t5.Mul(t1, t9)
// Step 13: t1 = x^0x4b
t1.Mul(t10, t9)
// Step 14: t6 = x^0x4d
t6.Mul(t2, t1)
// Step 15: t4 = x^0x55
t4.Mul(t8, t5)
// Step 16: t7 = x^0x67
t7.Mul(t7, t4)
// Step 17: t2 = x^0x69
t2.Mul(t2, t7)
// Step 18: t8 = x^0x83
t8.Mul(t8, t2)
// Step 19: t11 = x^0x99
t11.Mul(t10, t8)
// Step 20: t12 = x^0x9d
t12.Mul(t13, t11)
// Step 21: t0 = x^0xbf
t0.Mul(t0, t12)
// Step 22: t10 = x^0xd7
t10.Mul(z, t0)
// Step 23: t13 = x^0xdb
t13.Mul(t13, t10)
// Step 24: t14 = x^0xe7
t14.Mul(t3, t13)
// Step 25: t3 = x^0xef
t3.Mul(z, t10)
// Step 26: z = x^0xff
z.Mul(z, t14)
// Step 34: t14 = x^0xe700
for s := 0; s < 8; s++ {
t14.Square(t14)
}
// Step 35: t13 = x^0xe7db
t13.Mul(t13, t14)
// Step 44: t13 = x^0x1cfb600
for s := 0; s < 9; s++ {
t13.Square(t13)
}
// Step 45: t12 = x^0x1cfb69d
t12.Mul(t12, t13)
// Step 54: t12 = x^0x39f6d3a00
for s := 0; s < 9; s++ {
t12.Square(t12)
}
// Step 55: t12 = x^0x39f6d3a99
t12.Mul(t11, t12)
// Step 64: t12 = x^0x73eda753200
for s := 0; s < 9; s++ {
t12.Square(t12)
}
// Step 65: t11 = x^0x73eda753299
t11.Mul(t11, t12)
// Step 73: t11 = x^0x73eda75329900
for s := 0; s < 8; s++ {
t11.Square(t11)
}
// Step 74: t10 = x^0x73eda753299d7
t10.Mul(t10, t11)
// Step 80: t10 = x^0x1cfb69d4ca675c0
for s := 0; s < 6; s++ {
t10.Square(t10)
}
// Step 81: t9 = x^0x1cfb69d4ca675f5
t9.Mul(t9, t10)
// Step 91: t9 = x^0x73eda753299d7d400
for s := 0; s < 10; s++ {
t9.Square(t9)
}
// Step 92: t8 = x^0x73eda753299d7d483
t8.Mul(t8, t9)
// Step 101: t8 = x^0xe7db4ea6533afa90600
for s := 0; s < 9; s++ {
t8.Square(t8)
}
// Step 102: t7 = x^0xe7db4ea6533afa90667
t7.Mul(t7, t8)
// Step 110: t7 = x^0xe7db4ea6533afa9066700
for s := 0; s < 8; s++ {
t7.Square(t7)
}
// Step 111: t7 = x^0xe7db4ea6533afa906673b
t7.Mul(t5, t7)
// Step 119: t7 = x^0xe7db4ea6533afa906673b00
for s := 0; s < 8; s++ {
t7.Square(t7)
}
// Step 120: t7 = x^0xe7db4ea6533afa906673b01
t7.Mul(&x, t7)
// Step 134: t7 = x^0x39f6d3a994cebea4199cec04000
for s := 0; s < 14; s++ {
t7.Square(t7)
}
// Step 135: t6 = x^0x39f6d3a994cebea4199cec0404d
t6.Mul(t6, t7)
// Step 145: t6 = x^0xe7db4ea6533afa906673b01013400
for s := 0; s < 10; s++ {
t6.Square(t6)
}
// Step 146: t5 = x^0xe7db4ea6533afa906673b0101343b
t5.Mul(t5, t6)
// Step 161: t5 = x^0x73eda753299d7d483339d80809a1d8000
for s := 0; s < 15; s++ {
t5.Square(t5)
}
// Step 162: t4 = x^0x73eda753299d7d483339d80809a1d8055
t4.Mul(t4, t5)
// Step 172: t4 = x^0x1cfb69d4ca675f520cce7602026876015400
for s := 0; s < 10; s++ {
t4.Square(t4)
}
// Step 173: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef
t3.Mul(t3, t4)
// Step 181: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef00
for s := 0; s < 8; s++ {
t3.Square(t3)
}
// Step 182: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef69
t2.Mul(t2, t3)
// Step 198: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef690000
for s := 0; s < 16; s++ {
t2.Square(t2)
}
// Step 199: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bf
t2.Mul(t0, t2)
// Step 207: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bf00
for s := 0; s < 8; s++ {
t2.Square(t2)
}
// Step 208: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff
t2.Mul(z, t2)
// Step 215: t2 = x^0xe7db4ea6533afa906673b0101343b00aa77b4805fff80
for s := 0; s < 7; s++ {
t2.Square(t2)
}
// Step 216: t1 = x^0xe7db4ea6533afa906673b0101343b00aa77b4805fffcb
t1.Mul(t1, t2)
// Step 225: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff9600
for s := 0; s < 9; s++ {
t1.Square(t1)
}
// Step 226: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ff
t1.Mul(z, t1)
// Step 234: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ff00
for s := 0; s < 8; s++ {
t1.Square(t1)
}
// Step 235: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbf
t0.Mul(t0, t1)
// Step 243: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbf00
for s := 0; s < 8; s++ {
t0.Square(t0)
}
// Step 244: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfff
t0.Mul(z, t0)
// Step 252: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfff00
for s := 0; s < 8; s++ {
t0.Square(t0)
}
// Step 253: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffff
t0.Mul(z, t0)
// Step 261: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffff00
for s := 0; s < 8; s++ {
t0.Square(t0)
}
// Step 262: z = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffffff
z.Mul(z, t0)
// Step 263: z = x^0x39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7ffffffe
z.Square(z)
// Step 264: z = x^0x39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7fffffff
z.Mul(&x, z)
return z
}
// expByLegendreExp is equivalent to z.Exp(x, 39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7fffffff80000000)
//
// 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
// _110 = _10 + _100
// _1100 = 2*_110
// _10010 = _110 + _1100
// _10011 = 1 + _10010
// _10110 = _11 + _10011
// _11000 = _10 + _10110
// _11010 = _10 + _11000
// _100010 = _1100 + _10110
// _110101 = _10011 + _100010
// _111011 = _110 + _110101
// _1001011 = _10110 + _110101
// _1001101 = _10 + _1001011
// _1010101 = _11010 + _111011
// _1100111 = _10010 + _1010101
// _1101001 = _10 + _1100111
// _10000011 = _11010 + _1101001
// _10011001 = _10110 + _10000011
// _10011101 = _100 + _10011001
// _10111111 = _100010 + _10011101
// _11010111 = _11000 + _10111111
// _11011011 = _100 + _11010111
// _11100111 = _1100 + _11011011
// _11101111 = _11000 + _11010111
// _11111111 = _11000 + _11100111
// i55 = ((_11100111 << 8 + _11011011) << 9 + _10011101) << 9
// i75 = ((_10011001 + i55) << 9 + _10011001) << 8 + _11010111
// i102 = ((i75 << 6 + _110101) << 10 + _10000011) << 9
// i121 = ((_1100111 + i102) << 8 + _111011) << 8 + 1
// i162 = ((i121 << 14 + _1001101) << 10 + _111011) << 15
// i183 = ((_1010101 + i162) << 10 + _11101111) << 8 + _1101001
// i216 = ((i183 << 16 + _10111111) << 8 + _11111111) << 7
// i236 = ((_1001011 + i216) << 9 + _11111111) << 8 + _10111111
// i262 = ((i236 << 8 + _11111111) << 8 + _11111111) << 8
// return ((_11111111 + i262) << 2 + _11) << 31
//
// Operations: 248 squares 49 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)
)
// var t0,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15 Element
// Step 1: t3 = x^0x2
t3.Square(&x)
// Step 2: z = x^0x3
z.Mul(&x, t3)
// Step 3: t14 = x^0x4
t14.Mul(&x, z)
// Step 4: t2 = x^0x6
t2.Mul(t3, t14)
// Step 5: t4 = x^0xc
t4.Square(t2)
// Step 6: t8 = x^0x12
t8.Mul(t2, t4)
// Step 7: t5 = x^0x13
t5.Mul(&x, t8)
// Step 8: t11 = x^0x16
t11.Mul(z, t5)
// Step 9: t0 = x^0x18
t0.Mul(t3, t11)
// Step 10: t9 = x^0x1a
t9.Mul(t3, t0)
// Step 11: t1 = x^0x22
t1.Mul(t4, t11)
// Step 12: t10 = x^0x35
t10.Mul(t5, t1)
// Step 13: t6 = x^0x3b
t6.Mul(t2, t10)
// Step 14: t2 = x^0x4b
t2.Mul(t11, t10)
// Step 15: t7 = x^0x4d
t7.Mul(t3, t2)
// Step 16: t5 = x^0x55
t5.Mul(t9, t6)
// Step 17: t8 = x^0x67
t8.Mul(t8, t5)
// Step 18: t3 = x^0x69
t3.Mul(t3, t8)
// Step 19: t9 = x^0x83
t9.Mul(t9, t3)
// Step 20: t12 = x^0x99
t12.Mul(t11, t9)
// Step 21: t13 = x^0x9d
t13.Mul(t14, t12)
// Step 22: t1 = x^0xbf
t1.Mul(t1, t13)
// Step 23: t11 = x^0xd7
t11.Mul(t0, t1)
// Step 24: t14 = x^0xdb
t14.Mul(t14, t11)
// Step 25: t15 = x^0xe7
t15.Mul(t4, t14)
// Step 26: t4 = x^0xef
t4.Mul(t0, t11)
// Step 27: t0 = x^0xff
t0.Mul(t0, t15)
// Step 35: t15 = x^0xe700
for s := 0; s < 8; s++ {
t15.Square(t15)
}
// Step 36: t14 = x^0xe7db
t14.Mul(t14, t15)
// Step 45: t14 = x^0x1cfb600
for s := 0; s < 9; s++ {
t14.Square(t14)
}
// Step 46: t13 = x^0x1cfb69d
t13.Mul(t13, t14)
// Step 55: t13 = x^0x39f6d3a00
for s := 0; s < 9; s++ {
t13.Square(t13)
}
// Step 56: t13 = x^0x39f6d3a99
t13.Mul(t12, t13)
// Step 65: t13 = x^0x73eda753200
for s := 0; s < 9; s++ {
t13.Square(t13)
}
// Step 66: t12 = x^0x73eda753299
t12.Mul(t12, t13)
// Step 74: t12 = x^0x73eda75329900
for s := 0; s < 8; s++ {
t12.Square(t12)
}
// Step 75: t11 = x^0x73eda753299d7
t11.Mul(t11, t12)
// Step 81: t11 = x^0x1cfb69d4ca675c0
for s := 0; s < 6; s++ {
t11.Square(t11)
}
// Step 82: t10 = x^0x1cfb69d4ca675f5
t10.Mul(t10, t11)
// Step 92: t10 = x^0x73eda753299d7d400
for s := 0; s < 10; s++ {
t10.Square(t10)
}
// Step 93: t9 = x^0x73eda753299d7d483
t9.Mul(t9, t10)
// Step 102: t9 = x^0xe7db4ea6533afa90600
for s := 0; s < 9; s++ {
t9.Square(t9)
}
// Step 103: t8 = x^0xe7db4ea6533afa90667
t8.Mul(t8, t9)
// Step 111: t8 = x^0xe7db4ea6533afa9066700
for s := 0; s < 8; s++ {
t8.Square(t8)
}
// Step 112: t8 = x^0xe7db4ea6533afa906673b
t8.Mul(t6, t8)
// Step 120: t8 = x^0xe7db4ea6533afa906673b00
for s := 0; s < 8; s++ {
t8.Square(t8)
}
// Step 121: t8 = x^0xe7db4ea6533afa906673b01
t8.Mul(&x, t8)
// Step 135: t8 = x^0x39f6d3a994cebea4199cec04000
for s := 0; s < 14; s++ {
t8.Square(t8)
}
// Step 136: t7 = x^0x39f6d3a994cebea4199cec0404d
t7.Mul(t7, t8)
// Step 146: t7 = x^0xe7db4ea6533afa906673b01013400
for s := 0; s < 10; s++ {
t7.Square(t7)
}
// Step 147: t6 = x^0xe7db4ea6533afa906673b0101343b
t6.Mul(t6, t7)
// Step 162: t6 = x^0x73eda753299d7d483339d80809a1d8000
for s := 0; s < 15; s++ {
t6.Square(t6)
}
// Step 163: t5 = x^0x73eda753299d7d483339d80809a1d8055
t5.Mul(t5, t6)
// Step 173: t5 = x^0x1cfb69d4ca675f520cce7602026876015400
for s := 0; s < 10; s++ {
t5.Square(t5)
}
// Step 174: t4 = x^0x1cfb69d4ca675f520cce76020268760154ef
t4.Mul(t4, t5)
// Step 182: t4 = x^0x1cfb69d4ca675f520cce76020268760154ef00
for s := 0; s < 8; s++ {
t4.Square(t4)
}
// Step 183: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef69
t3.Mul(t3, t4)
// Step 199: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef690000
for s := 0; s < 16; s++ {
t3.Square(t3)
}
// Step 200: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bf
t3.Mul(t1, t3)
// Step 208: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bf00
for s := 0; s < 8; s++ {
t3.Square(t3)
}
// Step 209: t3 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff
t3.Mul(t0, t3)
// Step 216: t3 = x^0xe7db4ea6533afa906673b0101343b00aa77b4805fff80
for s := 0; s < 7; s++ {
t3.Square(t3)
}
// Step 217: t2 = x^0xe7db4ea6533afa906673b0101343b00aa77b4805fffcb
t2.Mul(t2, t3)
// Step 226: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff9600
for s := 0; s < 9; s++ {
t2.Square(t2)
}
// Step 227: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ff
t2.Mul(t0, t2)
// Step 235: t2 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ff00
for s := 0; s < 8; s++ {
t2.Square(t2)
}
// Step 236: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbf
t1.Mul(t1, t2)
// Step 244: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbf00
for s := 0; s < 8; s++ {
t1.Square(t1)
}
// Step 245: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfff
t1.Mul(t0, t1)
// Step 253: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfff00
for s := 0; s < 8; s++ {
t1.Square(t1)
}
// Step 254: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffff
t1.Mul(t0, t1)
// Step 262: t1 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffff00
for s := 0; s < 8; s++ {
t1.Square(t1)
}
// Step 263: t0 = x^0x1cfb69d4ca675f520cce76020268760154ef6900bfff96ffbfffffff
t0.Mul(t0, t1)
// Step 265: t0 = x^0x73eda753299d7d483339d80809a1d80553bda402fffe5bfefffffffc
for s := 0; s < 2; s++ {
t0.Square(t0)
}
// Step 266: z = x^0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff
z.Mul(z, t0)
// Step 297: z = x^0x39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7fffffff80000000
for s := 0; s < 31; s++ {
z.Square(z)
}
return z
}