-
Notifications
You must be signed in to change notification settings - Fork 147
/
p384_32.c
10141 lines (10116 loc) · 327 KB
/
p384_32.c
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
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier p384 32 '2^384 - 2^128 - 2^96 + 2^32 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
/* curve description: p384 */
/* machine_wordsize = 32 (from "32") */
/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
/* m = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff (from "2^384 - 2^128 - 2^96 + 2^32 - 1") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
/* */
/* Computed values: */
/* eval z = z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) + (z[8] << 256) + (z[9] << 0x120) + (z[10] << 0x140) + (z[11] << 0x160) */
/* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) + (z[32] << 256) + (z[33] << 0x108) + (z[34] << 0x110) + (z[35] << 0x118) + (z[36] << 0x120) + (z[37] << 0x128) + (z[38] << 0x130) + (z[39] << 0x138) + (z[40] << 0x140) + (z[41] << 0x148) + (z[42] << 0x150) + (z[43] << 0x158) + (z[44] << 0x160) + (z[45] << 0x168) + (z[46] << 0x170) + (z[47] << 0x178) */
/* twos_complement_eval z = let x1 := z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) + (z[8] << 256) + (z[9] << 0x120) + (z[10] << 0x140) + (z[11] << 0x160) in */
/* if x1 & (2^384-1) < 2^383 then x1 & (2^384-1) else (x1 & (2^384-1)) - 2^384 */
#include <stdint.h>
typedef unsigned char fiat_p384_uint1;
typedef signed char fiat_p384_int1;
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_P384_FIAT_INLINE __inline__
#else
# define FIAT_P384_FIAT_INLINE
#endif
/* The type fiat_p384_montgomery_domain_field_element is a field element in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p384_montgomery_domain_field_element[12];
/* The type fiat_p384_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p384_non_montgomery_domain_field_element[12];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_P384_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint32_t fiat_p384_value_barrier_u32(uint32_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_p384_value_barrier_u32(x) (x)
#endif
/*
* The function fiat_p384_addcarryx_u32 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^32
* out2 = ⌊(arg1 + arg2 + arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P384_FIAT_INLINE void fiat_p384_addcarryx_u32(uint32_t* out1, fiat_p384_uint1* out2, fiat_p384_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint64_t x1;
uint32_t x2;
fiat_p384_uint1 x3;
x1 = ((arg1 + (uint64_t)arg2) + arg3);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (fiat_p384_uint1)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p384_subborrowx_u32 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^32
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P384_FIAT_INLINE void fiat_p384_subborrowx_u32(uint32_t* out1, fiat_p384_uint1* out2, fiat_p384_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int64_t x1;
fiat_p384_int1 x2;
uint32_t x3;
x1 = ((arg2 - (int64_t)arg1) - arg3);
x2 = (fiat_p384_int1)(x1 >> 32);
x3 = (uint32_t)(x1 & UINT32_C(0xffffffff));
*out1 = x3;
*out2 = (fiat_p384_uint1)(0x0 - x2);
}
/*
* The function fiat_p384_mulx_u32 is a multiplication, returning the full double-width result.
*
* Postconditions:
* out1 = (arg1 * arg2) mod 2^32
* out2 = ⌊arg1 * arg2 / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffff]
* arg2: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0xffffffff]
*/
static FIAT_P384_FIAT_INLINE void fiat_p384_mulx_u32(uint32_t* out1, uint32_t* out2, uint32_t arg1, uint32_t arg2) {
uint64_t x1;
uint32_t x2;
uint32_t x3;
x1 = ((uint64_t)arg1 * arg2);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (uint32_t)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p384_cmovznz_u32 is a single-word conditional move.
*
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
*/
static FIAT_P384_FIAT_INLINE void fiat_p384_cmovznz_u32(uint32_t* out1, fiat_p384_uint1 arg1, uint32_t arg2, uint32_t arg3) {
fiat_p384_uint1 x1;
uint32_t x2;
uint32_t x3;
x1 = (!(!arg1));
x2 = ((fiat_p384_int1)(0x0 - x1) & UINT32_C(0xffffffff));
x3 = ((fiat_p384_value_barrier_u32(x2) & arg3) | (fiat_p384_value_barrier_u32((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_p384_mul multiplies two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P384_FIAT_INLINE void fiat_p384_mul(fiat_p384_montgomery_domain_field_element out1, const fiat_p384_montgomery_domain_field_element arg1, const fiat_p384_montgomery_domain_field_element arg2) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint32_t x20;
uint32_t x21;
uint32_t x22;
uint32_t x23;
uint32_t x24;
uint32_t x25;
uint32_t x26;
uint32_t x27;
uint32_t x28;
uint32_t x29;
uint32_t x30;
uint32_t x31;
uint32_t x32;
uint32_t x33;
uint32_t x34;
uint32_t x35;
uint32_t x36;
uint32_t x37;
fiat_p384_uint1 x38;
uint32_t x39;
fiat_p384_uint1 x40;
uint32_t x41;
fiat_p384_uint1 x42;
uint32_t x43;
fiat_p384_uint1 x44;
uint32_t x45;
fiat_p384_uint1 x46;
uint32_t x47;
fiat_p384_uint1 x48;
uint32_t x49;
fiat_p384_uint1 x50;
uint32_t x51;
fiat_p384_uint1 x52;
uint32_t x53;
fiat_p384_uint1 x54;
uint32_t x55;
fiat_p384_uint1 x56;
uint32_t x57;
fiat_p384_uint1 x58;
uint32_t x59;
uint32_t x60;
uint32_t x61;
uint32_t x62;
uint32_t x63;
uint32_t x64;
uint32_t x65;
uint32_t x66;
uint32_t x67;
uint32_t x68;
uint32_t x69;
uint32_t x70;
uint32_t x71;
uint32_t x72;
uint32_t x73;
uint32_t x74;
uint32_t x75;
uint32_t x76;
uint32_t x77;
uint32_t x78;
uint32_t x79;
uint32_t x80;
fiat_p384_uint1 x81;
uint32_t x82;
fiat_p384_uint1 x83;
uint32_t x84;
fiat_p384_uint1 x85;
uint32_t x86;
fiat_p384_uint1 x87;
uint32_t x88;
fiat_p384_uint1 x89;
uint32_t x90;
fiat_p384_uint1 x91;
uint32_t x92;
fiat_p384_uint1 x93;
uint32_t x94;
fiat_p384_uint1 x95;
uint32_t x96;
uint32_t x97;
fiat_p384_uint1 x98;
uint32_t x99;
fiat_p384_uint1 x100;
uint32_t x101;
fiat_p384_uint1 x102;
uint32_t x103;
fiat_p384_uint1 x104;
uint32_t x105;
fiat_p384_uint1 x106;
uint32_t x107;
fiat_p384_uint1 x108;
uint32_t x109;
fiat_p384_uint1 x110;
uint32_t x111;
fiat_p384_uint1 x112;
uint32_t x113;
fiat_p384_uint1 x114;
uint32_t x115;
fiat_p384_uint1 x116;
uint32_t x117;
fiat_p384_uint1 x118;
uint32_t x119;
fiat_p384_uint1 x120;
uint32_t x121;
fiat_p384_uint1 x122;
uint32_t x123;
uint32_t x124;
uint32_t x125;
uint32_t x126;
uint32_t x127;
uint32_t x128;
uint32_t x129;
uint32_t x130;
uint32_t x131;
uint32_t x132;
uint32_t x133;
uint32_t x134;
uint32_t x135;
uint32_t x136;
uint32_t x137;
uint32_t x138;
uint32_t x139;
uint32_t x140;
uint32_t x141;
uint32_t x142;
uint32_t x143;
uint32_t x144;
uint32_t x145;
uint32_t x146;
uint32_t x147;
fiat_p384_uint1 x148;
uint32_t x149;
fiat_p384_uint1 x150;
uint32_t x151;
fiat_p384_uint1 x152;
uint32_t x153;
fiat_p384_uint1 x154;
uint32_t x155;
fiat_p384_uint1 x156;
uint32_t x157;
fiat_p384_uint1 x158;
uint32_t x159;
fiat_p384_uint1 x160;
uint32_t x161;
fiat_p384_uint1 x162;
uint32_t x163;
fiat_p384_uint1 x164;
uint32_t x165;
fiat_p384_uint1 x166;
uint32_t x167;
fiat_p384_uint1 x168;
uint32_t x169;
uint32_t x170;
fiat_p384_uint1 x171;
uint32_t x172;
fiat_p384_uint1 x173;
uint32_t x174;
fiat_p384_uint1 x175;
uint32_t x176;
fiat_p384_uint1 x177;
uint32_t x178;
fiat_p384_uint1 x179;
uint32_t x180;
fiat_p384_uint1 x181;
uint32_t x182;
fiat_p384_uint1 x183;
uint32_t x184;
fiat_p384_uint1 x185;
uint32_t x186;
fiat_p384_uint1 x187;
uint32_t x188;
fiat_p384_uint1 x189;
uint32_t x190;
fiat_p384_uint1 x191;
uint32_t x192;
fiat_p384_uint1 x193;
uint32_t x194;
fiat_p384_uint1 x195;
uint32_t x196;
uint32_t x197;
uint32_t x198;
uint32_t x199;
uint32_t x200;
uint32_t x201;
uint32_t x202;
uint32_t x203;
uint32_t x204;
uint32_t x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
uint32_t x210;
uint32_t x211;
uint32_t x212;
uint32_t x213;
uint32_t x214;
uint32_t x215;
uint32_t x216;
fiat_p384_uint1 x217;
uint32_t x218;
fiat_p384_uint1 x219;
uint32_t x220;
fiat_p384_uint1 x221;
uint32_t x222;
fiat_p384_uint1 x223;
uint32_t x224;
fiat_p384_uint1 x225;
uint32_t x226;
fiat_p384_uint1 x227;
uint32_t x228;
fiat_p384_uint1 x229;
uint32_t x230;
fiat_p384_uint1 x231;
uint32_t x232;
uint32_t x233;
fiat_p384_uint1 x234;
uint32_t x235;
fiat_p384_uint1 x236;
uint32_t x237;
fiat_p384_uint1 x238;
uint32_t x239;
fiat_p384_uint1 x240;
uint32_t x241;
fiat_p384_uint1 x242;
uint32_t x243;
fiat_p384_uint1 x244;
uint32_t x245;
fiat_p384_uint1 x246;
uint32_t x247;
fiat_p384_uint1 x248;
uint32_t x249;
fiat_p384_uint1 x250;
uint32_t x251;
fiat_p384_uint1 x252;
uint32_t x253;
fiat_p384_uint1 x254;
uint32_t x255;
fiat_p384_uint1 x256;
uint32_t x257;
fiat_p384_uint1 x258;
uint32_t x259;
uint32_t x260;
uint32_t x261;
uint32_t x262;
uint32_t x263;
uint32_t x264;
uint32_t x265;
uint32_t x266;
uint32_t x267;
uint32_t x268;
uint32_t x269;
uint32_t x270;
uint32_t x271;
uint32_t x272;
uint32_t x273;
uint32_t x274;
uint32_t x275;
uint32_t x276;
uint32_t x277;
uint32_t x278;
uint32_t x279;
uint32_t x280;
uint32_t x281;
uint32_t x282;
uint32_t x283;
uint32_t x284;
fiat_p384_uint1 x285;
uint32_t x286;
fiat_p384_uint1 x287;
uint32_t x288;
fiat_p384_uint1 x289;
uint32_t x290;
fiat_p384_uint1 x291;
uint32_t x292;
fiat_p384_uint1 x293;
uint32_t x294;
fiat_p384_uint1 x295;
uint32_t x296;
fiat_p384_uint1 x297;
uint32_t x298;
fiat_p384_uint1 x299;
uint32_t x300;
fiat_p384_uint1 x301;
uint32_t x302;
fiat_p384_uint1 x303;
uint32_t x304;
fiat_p384_uint1 x305;
uint32_t x306;
uint32_t x307;
fiat_p384_uint1 x308;
uint32_t x309;
fiat_p384_uint1 x310;
uint32_t x311;
fiat_p384_uint1 x312;
uint32_t x313;
fiat_p384_uint1 x314;
uint32_t x315;
fiat_p384_uint1 x316;
uint32_t x317;
fiat_p384_uint1 x318;
uint32_t x319;
fiat_p384_uint1 x320;
uint32_t x321;
fiat_p384_uint1 x322;
uint32_t x323;
fiat_p384_uint1 x324;
uint32_t x325;
fiat_p384_uint1 x326;
uint32_t x327;
fiat_p384_uint1 x328;
uint32_t x329;
fiat_p384_uint1 x330;
uint32_t x331;
fiat_p384_uint1 x332;
uint32_t x333;
uint32_t x334;
uint32_t x335;
uint32_t x336;
uint32_t x337;
uint32_t x338;
uint32_t x339;
uint32_t x340;
uint32_t x341;
uint32_t x342;
uint32_t x343;
uint32_t x344;
uint32_t x345;
uint32_t x346;
uint32_t x347;
uint32_t x348;
uint32_t x349;
uint32_t x350;
uint32_t x351;
uint32_t x352;
uint32_t x353;
fiat_p384_uint1 x354;
uint32_t x355;
fiat_p384_uint1 x356;
uint32_t x357;
fiat_p384_uint1 x358;
uint32_t x359;
fiat_p384_uint1 x360;
uint32_t x361;
fiat_p384_uint1 x362;
uint32_t x363;
fiat_p384_uint1 x364;
uint32_t x365;
fiat_p384_uint1 x366;
uint32_t x367;
fiat_p384_uint1 x368;
uint32_t x369;
uint32_t x370;
fiat_p384_uint1 x371;
uint32_t x372;
fiat_p384_uint1 x373;
uint32_t x374;
fiat_p384_uint1 x375;
uint32_t x376;
fiat_p384_uint1 x377;
uint32_t x378;
fiat_p384_uint1 x379;
uint32_t x380;
fiat_p384_uint1 x381;
uint32_t x382;
fiat_p384_uint1 x383;
uint32_t x384;
fiat_p384_uint1 x385;
uint32_t x386;
fiat_p384_uint1 x387;
uint32_t x388;
fiat_p384_uint1 x389;
uint32_t x390;
fiat_p384_uint1 x391;
uint32_t x392;
fiat_p384_uint1 x393;
uint32_t x394;
fiat_p384_uint1 x395;
uint32_t x396;
uint32_t x397;
uint32_t x398;
uint32_t x399;
uint32_t x400;
uint32_t x401;
uint32_t x402;
uint32_t x403;
uint32_t x404;
uint32_t x405;
uint32_t x406;
uint32_t x407;
uint32_t x408;
uint32_t x409;
uint32_t x410;
uint32_t x411;
uint32_t x412;
uint32_t x413;
uint32_t x414;
uint32_t x415;
uint32_t x416;
uint32_t x417;
uint32_t x418;
uint32_t x419;
uint32_t x420;
uint32_t x421;
fiat_p384_uint1 x422;
uint32_t x423;
fiat_p384_uint1 x424;
uint32_t x425;
fiat_p384_uint1 x426;
uint32_t x427;
fiat_p384_uint1 x428;
uint32_t x429;
fiat_p384_uint1 x430;
uint32_t x431;
fiat_p384_uint1 x432;
uint32_t x433;
fiat_p384_uint1 x434;
uint32_t x435;
fiat_p384_uint1 x436;
uint32_t x437;
fiat_p384_uint1 x438;
uint32_t x439;
fiat_p384_uint1 x440;
uint32_t x441;
fiat_p384_uint1 x442;
uint32_t x443;
uint32_t x444;
fiat_p384_uint1 x445;
uint32_t x446;
fiat_p384_uint1 x447;
uint32_t x448;
fiat_p384_uint1 x449;
uint32_t x450;
fiat_p384_uint1 x451;
uint32_t x452;
fiat_p384_uint1 x453;
uint32_t x454;
fiat_p384_uint1 x455;
uint32_t x456;
fiat_p384_uint1 x457;
uint32_t x458;
fiat_p384_uint1 x459;
uint32_t x460;
fiat_p384_uint1 x461;
uint32_t x462;
fiat_p384_uint1 x463;
uint32_t x464;
fiat_p384_uint1 x465;
uint32_t x466;
fiat_p384_uint1 x467;
uint32_t x468;
fiat_p384_uint1 x469;
uint32_t x470;
uint32_t x471;
uint32_t x472;
uint32_t x473;
uint32_t x474;
uint32_t x475;
uint32_t x476;
uint32_t x477;
uint32_t x478;
uint32_t x479;
uint32_t x480;
uint32_t x481;
uint32_t x482;
uint32_t x483;
uint32_t x484;
uint32_t x485;
uint32_t x486;
uint32_t x487;
uint32_t x488;
uint32_t x489;
uint32_t x490;
fiat_p384_uint1 x491;
uint32_t x492;
fiat_p384_uint1 x493;
uint32_t x494;
fiat_p384_uint1 x495;
uint32_t x496;
fiat_p384_uint1 x497;
uint32_t x498;
fiat_p384_uint1 x499;
uint32_t x500;
fiat_p384_uint1 x501;
uint32_t x502;
fiat_p384_uint1 x503;
uint32_t x504;
fiat_p384_uint1 x505;
uint32_t x506;
uint32_t x507;
fiat_p384_uint1 x508;
uint32_t x509;
fiat_p384_uint1 x510;
uint32_t x511;
fiat_p384_uint1 x512;
uint32_t x513;
fiat_p384_uint1 x514;
uint32_t x515;
fiat_p384_uint1 x516;
uint32_t x517;
fiat_p384_uint1 x518;
uint32_t x519;
fiat_p384_uint1 x520;
uint32_t x521;
fiat_p384_uint1 x522;
uint32_t x523;
fiat_p384_uint1 x524;
uint32_t x525;
fiat_p384_uint1 x526;
uint32_t x527;
fiat_p384_uint1 x528;
uint32_t x529;
fiat_p384_uint1 x530;
uint32_t x531;
fiat_p384_uint1 x532;
uint32_t x533;
uint32_t x534;
uint32_t x535;
uint32_t x536;
uint32_t x537;
uint32_t x538;
uint32_t x539;
uint32_t x540;
uint32_t x541;
uint32_t x542;
uint32_t x543;
uint32_t x544;
uint32_t x545;
uint32_t x546;
uint32_t x547;
uint32_t x548;
uint32_t x549;
uint32_t x550;
uint32_t x551;
uint32_t x552;
uint32_t x553;
uint32_t x554;
uint32_t x555;
uint32_t x556;
uint32_t x557;
uint32_t x558;
fiat_p384_uint1 x559;
uint32_t x560;
fiat_p384_uint1 x561;
uint32_t x562;
fiat_p384_uint1 x563;
uint32_t x564;
fiat_p384_uint1 x565;
uint32_t x566;
fiat_p384_uint1 x567;
uint32_t x568;
fiat_p384_uint1 x569;
uint32_t x570;
fiat_p384_uint1 x571;
uint32_t x572;
fiat_p384_uint1 x573;
uint32_t x574;
fiat_p384_uint1 x575;
uint32_t x576;
fiat_p384_uint1 x577;
uint32_t x578;
fiat_p384_uint1 x579;
uint32_t x580;
uint32_t x581;
fiat_p384_uint1 x582;
uint32_t x583;
fiat_p384_uint1 x584;
uint32_t x585;
fiat_p384_uint1 x586;
uint32_t x587;
fiat_p384_uint1 x588;
uint32_t x589;
fiat_p384_uint1 x590;
uint32_t x591;
fiat_p384_uint1 x592;
uint32_t x593;
fiat_p384_uint1 x594;
uint32_t x595;
fiat_p384_uint1 x596;
uint32_t x597;
fiat_p384_uint1 x598;
uint32_t x599;
fiat_p384_uint1 x600;
uint32_t x601;
fiat_p384_uint1 x602;
uint32_t x603;
fiat_p384_uint1 x604;
uint32_t x605;
fiat_p384_uint1 x606;
uint32_t x607;
uint32_t x608;
uint32_t x609;
uint32_t x610;
uint32_t x611;
uint32_t x612;
uint32_t x613;
uint32_t x614;
uint32_t x615;
uint32_t x616;
uint32_t x617;
uint32_t x618;
uint32_t x619;
uint32_t x620;
uint32_t x621;
uint32_t x622;
uint32_t x623;
uint32_t x624;
uint32_t x625;
uint32_t x626;
uint32_t x627;
fiat_p384_uint1 x628;
uint32_t x629;
fiat_p384_uint1 x630;
uint32_t x631;
fiat_p384_uint1 x632;
uint32_t x633;
fiat_p384_uint1 x634;
uint32_t x635;
fiat_p384_uint1 x636;
uint32_t x637;
fiat_p384_uint1 x638;
uint32_t x639;
fiat_p384_uint1 x640;
uint32_t x641;
fiat_p384_uint1 x642;
uint32_t x643;
uint32_t x644;
fiat_p384_uint1 x645;
uint32_t x646;
fiat_p384_uint1 x647;
uint32_t x648;
fiat_p384_uint1 x649;
uint32_t x650;
fiat_p384_uint1 x651;
uint32_t x652;
fiat_p384_uint1 x653;
uint32_t x654;
fiat_p384_uint1 x655;
uint32_t x656;
fiat_p384_uint1 x657;
uint32_t x658;
fiat_p384_uint1 x659;
uint32_t x660;
fiat_p384_uint1 x661;
uint32_t x662;
fiat_p384_uint1 x663;
uint32_t x664;
fiat_p384_uint1 x665;
uint32_t x666;
fiat_p384_uint1 x667;
uint32_t x668;
fiat_p384_uint1 x669;
uint32_t x670;
uint32_t x671;
uint32_t x672;
uint32_t x673;
uint32_t x674;
uint32_t x675;
uint32_t x676;
uint32_t x677;
uint32_t x678;
uint32_t x679;
uint32_t x680;
uint32_t x681;
uint32_t x682;
uint32_t x683;
uint32_t x684;
uint32_t x685;
uint32_t x686;
uint32_t x687;
uint32_t x688;
uint32_t x689;
uint32_t x690;
uint32_t x691;
uint32_t x692;
uint32_t x693;
uint32_t x694;
uint32_t x695;
fiat_p384_uint1 x696;
uint32_t x697;
fiat_p384_uint1 x698;
uint32_t x699;
fiat_p384_uint1 x700;
uint32_t x701;
fiat_p384_uint1 x702;
uint32_t x703;
fiat_p384_uint1 x704;
uint32_t x705;
fiat_p384_uint1 x706;
uint32_t x707;
fiat_p384_uint1 x708;
uint32_t x709;
fiat_p384_uint1 x710;
uint32_t x711;
fiat_p384_uint1 x712;
uint32_t x713;
fiat_p384_uint1 x714;
uint32_t x715;
fiat_p384_uint1 x716;
uint32_t x717;
uint32_t x718;
fiat_p384_uint1 x719;
uint32_t x720;
fiat_p384_uint1 x721;
uint32_t x722;
fiat_p384_uint1 x723;
uint32_t x724;
fiat_p384_uint1 x725;
uint32_t x726;
fiat_p384_uint1 x727;
uint32_t x728;
fiat_p384_uint1 x729;
uint32_t x730;
fiat_p384_uint1 x731;
uint32_t x732;
fiat_p384_uint1 x733;
uint32_t x734;
fiat_p384_uint1 x735;
uint32_t x736;
fiat_p384_uint1 x737;
uint32_t x738;
fiat_p384_uint1 x739;
uint32_t x740;
fiat_p384_uint1 x741;
uint32_t x742;
fiat_p384_uint1 x743;
uint32_t x744;
uint32_t x745;
uint32_t x746;
uint32_t x747;
uint32_t x748;
uint32_t x749;
uint32_t x750;
uint32_t x751;
uint32_t x752;
uint32_t x753;
uint32_t x754;
uint32_t x755;
uint32_t x756;
uint32_t x757;
uint32_t x758;
uint32_t x759;
uint32_t x760;
uint32_t x761;
uint32_t x762;
uint32_t x763;
uint32_t x764;
fiat_p384_uint1 x765;
uint32_t x766;
fiat_p384_uint1 x767;
uint32_t x768;
fiat_p384_uint1 x769;
uint32_t x770;
fiat_p384_uint1 x771;
uint32_t x772;
fiat_p384_uint1 x773;
uint32_t x774;
fiat_p384_uint1 x775;
uint32_t x776;
fiat_p384_uint1 x777;
uint32_t x778;
fiat_p384_uint1 x779;
uint32_t x780;
uint32_t x781;
fiat_p384_uint1 x782;
uint32_t x783;
fiat_p384_uint1 x784;
uint32_t x785;
fiat_p384_uint1 x786;
uint32_t x787;
fiat_p384_uint1 x788;
uint32_t x789;
fiat_p384_uint1 x790;
uint32_t x791;
fiat_p384_uint1 x792;
uint32_t x793;
fiat_p384_uint1 x794;
uint32_t x795;
fiat_p384_uint1 x796;
uint32_t x797;
fiat_p384_uint1 x798;
uint32_t x799;
fiat_p384_uint1 x800;
uint32_t x801;
fiat_p384_uint1 x802;
uint32_t x803;
fiat_p384_uint1 x804;
uint32_t x805;
fiat_p384_uint1 x806;
uint32_t x807;
uint32_t x808;
uint32_t x809;
uint32_t x810;
uint32_t x811;
uint32_t x812;
uint32_t x813;
uint32_t x814;
uint32_t x815;
uint32_t x816;
uint32_t x817;
uint32_t x818;
uint32_t x819;
uint32_t x820;
uint32_t x821;
uint32_t x822;
uint32_t x823;
uint32_t x824;
uint32_t x825;
uint32_t x826;
uint32_t x827;
uint32_t x828;
uint32_t x829;
uint32_t x830;
uint32_t x831;
uint32_t x832;
fiat_p384_uint1 x833;
uint32_t x834;
fiat_p384_uint1 x835;
uint32_t x836;
fiat_p384_uint1 x837;
uint32_t x838;