forked from bitcoin/bitcoin
-
Notifications
You must be signed in to change notification settings - Fork 4
/
tests.c
5146 lines (4789 loc) · 214 KB
/
tests.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
/**********************************************************************
* Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
* Distributed under the MIT software license, see the accompanying *
* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
**********************************************************************/
#if defined HAVE_CONFIG_H
#include "libsecp256k1-config.h"
#endif
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include "secp256k1.c"
#include "include/secp256k1.h"
#include "testrand_impl.h"
#ifdef ENABLE_OPENSSL_TESTS
#include "openssl/bn.h"
#include "openssl/ec.h"
#include "openssl/ecdsa.h"
#include "openssl/obj_mac.h"
# if OPENSSL_VERSION_NUMBER < 0x10100000L
void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps) {*pr = sig->r; *ps = sig->s;}
# endif
#endif
#include "contrib/lax_der_parsing.c"
#include "contrib/lax_der_privatekey_parsing.c"
#if !defined(VG_CHECK)
# if defined(VALGRIND)
# include <valgrind/memcheck.h>
# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y))
# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y))
# else
# define VG_UNDEF(x,y)
# define VG_CHECK(x,y)
# endif
#endif
static int count = 64;
static secp256k1_context *ctx = NULL;
static void counting_illegal_callback_fn(const char* str, void* data) {
/* Dummy callback function that just counts. */
int32_t *p;
(void)str;
p = data;
(*p)++;
}
static void uncounting_illegal_callback_fn(const char* str, void* data) {
/* Dummy callback function that just counts (backwards). */
int32_t *p;
(void)str;
p = data;
(*p)--;
}
void random_field_element_test(secp256k1_fe *fe) {
do {
unsigned char b32[32];
secp256k1_rand256_test(b32);
if (secp256k1_fe_set_b32(fe, b32)) {
break;
}
} while(1);
}
void random_field_element_magnitude(secp256k1_fe *fe) {
secp256k1_fe zero;
int n = secp256k1_rand_int(9);
secp256k1_fe_normalize(fe);
if (n == 0) {
return;
}
secp256k1_fe_clear(&zero);
secp256k1_fe_negate(&zero, &zero, 0);
secp256k1_fe_mul_int(&zero, n - 1);
secp256k1_fe_add(fe, &zero);
VERIFY_CHECK(fe->magnitude == n);
}
void random_group_element_test(secp256k1_ge *ge) {
secp256k1_fe fe;
do {
random_field_element_test(&fe);
if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand_bits(1))) {
secp256k1_fe_normalize(&ge->y);
break;
}
} while(1);
}
void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) {
secp256k1_fe z2, z3;
do {
random_field_element_test(&gej->z);
if (!secp256k1_fe_is_zero(&gej->z)) {
break;
}
} while(1);
secp256k1_fe_sqr(&z2, &gej->z);
secp256k1_fe_mul(&z3, &z2, &gej->z);
secp256k1_fe_mul(&gej->x, &ge->x, &z2);
secp256k1_fe_mul(&gej->y, &ge->y, &z3);
gej->infinity = ge->infinity;
}
void random_scalar_order_test(secp256k1_scalar *num) {
do {
unsigned char b32[32];
int overflow = 0;
secp256k1_rand256_test(b32);
secp256k1_scalar_set_b32(num, b32, &overflow);
if (overflow || secp256k1_scalar_is_zero(num)) {
continue;
}
break;
} while(1);
}
void random_scalar_order(secp256k1_scalar *num) {
do {
unsigned char b32[32];
int overflow = 0;
secp256k1_rand256(b32);
secp256k1_scalar_set_b32(num, b32, &overflow);
if (overflow || secp256k1_scalar_is_zero(num)) {
continue;
}
break;
} while(1);
}
void run_context_tests(void) {
secp256k1_pubkey pubkey;
secp256k1_pubkey zero_pubkey;
secp256k1_ecdsa_signature sig;
unsigned char ctmp[32];
int32_t ecount;
int32_t ecount2;
secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
secp256k1_gej pubj;
secp256k1_ge pub;
secp256k1_scalar msg, key, nonce;
secp256k1_scalar sigr, sigs;
memset(&zero_pubkey, 0, sizeof(zero_pubkey));
ecount = 0;
ecount2 = 10;
secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2);
secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, NULL);
CHECK(vrfy->error_callback.fn != sign->error_callback.fn);
/*** clone and destroy all of them to make sure cloning was complete ***/
{
secp256k1_context *ctx_tmp;
ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_destroy(ctx_tmp);
}
/* Verify that the error callback makes it across the clone. */
CHECK(vrfy->error_callback.fn != sign->error_callback.fn);
/* And that it resets back to default. */
secp256k1_context_set_error_callback(sign, NULL, NULL);
CHECK(vrfy->error_callback.fn == sign->error_callback.fn);
/*** attempt to use them ***/
random_scalar_order_test(&msg);
random_scalar_order_test(&key);
secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key);
secp256k1_ge_set_gej(&pub, &pubj);
/* Verify context-type checking illegal-argument errors. */
memset(ctmp, 1, 32);
CHECK(secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0);
CHECK(ecount == 1);
VG_UNDEF(&pubkey, sizeof(pubkey));
CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1);
VG_CHECK(&pubkey, sizeof(pubkey));
CHECK(secp256k1_ecdsa_sign(vrfy, &sig, ctmp, ctmp, NULL, NULL) == 0);
CHECK(ecount == 2);
VG_UNDEF(&sig, sizeof(sig));
CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1);
VG_CHECK(&sig, sizeof(sig));
CHECK(ecount2 == 10);
CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0);
CHECK(ecount2 == 11);
CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0);
CHECK(ecount2 == 12);
CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0);
CHECK(ecount2 == 13);
CHECK(secp256k1_ec_pubkey_negate(vrfy, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0);
CHECK(ecount2 == 14);
CHECK(secp256k1_ec_pubkey_negate(vrfy, &zero_pubkey) == 0);
CHECK(ecount == 3);
CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(vrfy, ctmp) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(vrfy, NULL) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(sign, ctmp) == 1);
CHECK(ecount2 == 14);
CHECK(secp256k1_context_randomize(sign, NULL) == 1);
CHECK(ecount2 == 14);
secp256k1_context_set_illegal_callback(vrfy, NULL, NULL);
secp256k1_context_set_illegal_callback(sign, NULL, NULL);
/* obtain a working nonce */
do {
random_scalar_order_test(&nonce);
} while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try signing */
CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try verifying */
CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg));
CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg));
/* cleanup */
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
secp256k1_context_destroy(vrfy);
secp256k1_context_destroy(both);
/* Defined as no-op. */
secp256k1_context_destroy(NULL);
}
void run_scratch_tests(void) {
int32_t ecount = 0;
secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
secp256k1_scratch_space *scratch;
/* Test public API */
secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
scratch = secp256k1_scratch_space_create(none, 1000);
CHECK(scratch != NULL);
CHECK(ecount == 0);
/* Test internal API */
CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
CHECK(secp256k1_scratch_max_allocation(scratch, 1) < 1000);
/* Allocating 500 bytes with no frame fails */
CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
/* ...but pushing a new stack frame does affect the max allocation */
CHECK(secp256k1_scratch_allocate_frame(scratch, 500, 1 == 1));
CHECK(secp256k1_scratch_max_allocation(scratch, 1) < 500); /* 500 - ALIGNMENT */
CHECK(secp256k1_scratch_alloc(scratch, 500) != NULL);
CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
CHECK(secp256k1_scratch_allocate_frame(scratch, 500, 1) == 0);
/* ...and this effect is undone by popping the frame */
secp256k1_scratch_deallocate_frame(scratch);
CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
/* cleanup */
secp256k1_scratch_space_destroy(scratch);
secp256k1_context_destroy(none);
}
/***** HASH TESTS *****/
void run_sha256_tests(void) {
static const char *inputs[8] = {
"", "abc", "message digest", "secure hash algorithm", "SHA256 is considered to be safe",
"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq",
"For this sample, this 63-byte string will be used as input data",
"This is exactly 64 bytes long, not counting the terminating byte"
};
static const unsigned char outputs[8][32] = {
{0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55},
{0xba, 0x78, 0x16, 0xbf, 0x8f, 0x01, 0xcf, 0xea, 0x41, 0x41, 0x40, 0xde, 0x5d, 0xae, 0x22, 0x23, 0xb0, 0x03, 0x61, 0xa3, 0x96, 0x17, 0x7a, 0x9c, 0xb4, 0x10, 0xff, 0x61, 0xf2, 0x00, 0x15, 0xad},
{0xf7, 0x84, 0x6f, 0x55, 0xcf, 0x23, 0xe1, 0x4e, 0xeb, 0xea, 0xb5, 0xb4, 0xe1, 0x55, 0x0c, 0xad, 0x5b, 0x50, 0x9e, 0x33, 0x48, 0xfb, 0xc4, 0xef, 0xa3, 0xa1, 0x41, 0x3d, 0x39, 0x3c, 0xb6, 0x50},
{0xf3, 0x0c, 0xeb, 0x2b, 0xb2, 0x82, 0x9e, 0x79, 0xe4, 0xca, 0x97, 0x53, 0xd3, 0x5a, 0x8e, 0xcc, 0x00, 0x26, 0x2d, 0x16, 0x4c, 0xc0, 0x77, 0x08, 0x02, 0x95, 0x38, 0x1c, 0xbd, 0x64, 0x3f, 0x0d},
{0x68, 0x19, 0xd9, 0x15, 0xc7, 0x3f, 0x4d, 0x1e, 0x77, 0xe4, 0xe1, 0xb5, 0x2d, 0x1f, 0xa0, 0xf9, 0xcf, 0x9b, 0xea, 0xea, 0xd3, 0x93, 0x9f, 0x15, 0x87, 0x4b, 0xd9, 0x88, 0xe2, 0xa2, 0x36, 0x30},
{0x24, 0x8d, 0x6a, 0x61, 0xd2, 0x06, 0x38, 0xb8, 0xe5, 0xc0, 0x26, 0x93, 0x0c, 0x3e, 0x60, 0x39, 0xa3, 0x3c, 0xe4, 0x59, 0x64, 0xff, 0x21, 0x67, 0xf6, 0xec, 0xed, 0xd4, 0x19, 0xdb, 0x06, 0xc1},
{0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42},
{0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8}
};
int i;
for (i = 0; i < 8; i++) {
unsigned char out[32];
secp256k1_sha256 hasher;
secp256k1_sha256_initialize(&hasher);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
secp256k1_sha256_finalize(&hasher, out);
CHECK(memcmp(out, outputs[i], 32) == 0);
if (strlen(inputs[i]) > 0) {
int split = secp256k1_rand_int(strlen(inputs[i]));
secp256k1_sha256_initialize(&hasher);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
secp256k1_sha256_finalize(&hasher, out);
CHECK(memcmp(out, outputs[i], 32) == 0);
}
}
}
void run_hmac_sha256_tests(void) {
static const char *keys[6] = {
"\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b",
"\x4a\x65\x66\x65",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa",
"\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa"
};
static const char *inputs[6] = {
"\x48\x69\x20\x54\x68\x65\x72\x65",
"\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f",
"\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd",
"\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd",
"\x54\x65\x73\x74\x20\x55\x73\x69\x6e\x67\x20\x4c\x61\x72\x67\x65\x72\x20\x54\x68\x61\x6e\x20\x42\x6c\x6f\x63\x6b\x2d\x53\x69\x7a\x65\x20\x4b\x65\x79\x20\x2d\x20\x48\x61\x73\x68\x20\x4b\x65\x79\x20\x46\x69\x72\x73\x74",
"\x54\x68\x69\x73\x20\x69\x73\x20\x61\x20\x74\x65\x73\x74\x20\x75\x73\x69\x6e\x67\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x6b\x65\x79\x20\x61\x6e\x64\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x64\x61\x74\x61\x2e\x20\x54\x68\x65\x20\x6b\x65\x79\x20\x6e\x65\x65\x64\x73\x20\x74\x6f\x20\x62\x65\x20\x68\x61\x73\x68\x65\x64\x20\x62\x65\x66\x6f\x72\x65\x20\x62\x65\x69\x6e\x67\x20\x75\x73\x65\x64\x20\x62\x79\x20\x74\x68\x65\x20\x48\x4d\x41\x43\x20\x61\x6c\x67\x6f\x72\x69\x74\x68\x6d\x2e"
};
static const unsigned char outputs[6][32] = {
{0xb0, 0x34, 0x4c, 0x61, 0xd8, 0xdb, 0x38, 0x53, 0x5c, 0xa8, 0xaf, 0xce, 0xaf, 0x0b, 0xf1, 0x2b, 0x88, 0x1d, 0xc2, 0x00, 0xc9, 0x83, 0x3d, 0xa7, 0x26, 0xe9, 0x37, 0x6c, 0x2e, 0x32, 0xcf, 0xf7},
{0x5b, 0xdc, 0xc1, 0x46, 0xbf, 0x60, 0x75, 0x4e, 0x6a, 0x04, 0x24, 0x26, 0x08, 0x95, 0x75, 0xc7, 0x5a, 0x00, 0x3f, 0x08, 0x9d, 0x27, 0x39, 0x83, 0x9d, 0xec, 0x58, 0xb9, 0x64, 0xec, 0x38, 0x43},
{0x77, 0x3e, 0xa9, 0x1e, 0x36, 0x80, 0x0e, 0x46, 0x85, 0x4d, 0xb8, 0xeb, 0xd0, 0x91, 0x81, 0xa7, 0x29, 0x59, 0x09, 0x8b, 0x3e, 0xf8, 0xc1, 0x22, 0xd9, 0x63, 0x55, 0x14, 0xce, 0xd5, 0x65, 0xfe},
{0x82, 0x55, 0x8a, 0x38, 0x9a, 0x44, 0x3c, 0x0e, 0xa4, 0xcc, 0x81, 0x98, 0x99, 0xf2, 0x08, 0x3a, 0x85, 0xf0, 0xfa, 0xa3, 0xe5, 0x78, 0xf8, 0x07, 0x7a, 0x2e, 0x3f, 0xf4, 0x67, 0x29, 0x66, 0x5b},
{0x60, 0xe4, 0x31, 0x59, 0x1e, 0xe0, 0xb6, 0x7f, 0x0d, 0x8a, 0x26, 0xaa, 0xcb, 0xf5, 0xb7, 0x7f, 0x8e, 0x0b, 0xc6, 0x21, 0x37, 0x28, 0xc5, 0x14, 0x05, 0x46, 0x04, 0x0f, 0x0e, 0xe3, 0x7f, 0x54},
{0x9b, 0x09, 0xff, 0xa7, 0x1b, 0x94, 0x2f, 0xcb, 0x27, 0x63, 0x5f, 0xbc, 0xd5, 0xb0, 0xe9, 0x44, 0xbf, 0xdc, 0x63, 0x64, 0x4f, 0x07, 0x13, 0x93, 0x8a, 0x7f, 0x51, 0x53, 0x5c, 0x3a, 0x35, 0xe2}
};
int i;
for (i = 0; i < 6; i++) {
secp256k1_hmac_sha256 hasher;
unsigned char out[32];
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
secp256k1_hmac_sha256_finalize(&hasher, out);
CHECK(memcmp(out, outputs[i], 32) == 0);
if (strlen(inputs[i]) > 0) {
int split = secp256k1_rand_int(strlen(inputs[i]));
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
secp256k1_hmac_sha256_finalize(&hasher, out);
CHECK(memcmp(out, outputs[i], 32) == 0);
}
}
}
void run_rfc6979_hmac_sha256_tests(void) {
static const unsigned char key1[65] = {0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x00, 0x4b, 0xf5, 0x12, 0x2f, 0x34, 0x45, 0x54, 0xc5, 0x3b, 0xde, 0x2e, 0xbb, 0x8c, 0xd2, 0xb7, 0xe3, 0xd1, 0x60, 0x0a, 0xd6, 0x31, 0xc3, 0x85, 0xa5, 0xd7, 0xcc, 0xe2, 0x3c, 0x77, 0x85, 0x45, 0x9a, 0};
static const unsigned char out1[3][32] = {
{0x4f, 0xe2, 0x95, 0x25, 0xb2, 0x08, 0x68, 0x09, 0x15, 0x9a, 0xcd, 0xf0, 0x50, 0x6e, 0xfb, 0x86, 0xb0, 0xec, 0x93, 0x2c, 0x7b, 0xa4, 0x42, 0x56, 0xab, 0x32, 0x1e, 0x42, 0x1e, 0x67, 0xe9, 0xfb},
{0x2b, 0xf0, 0xff, 0xf1, 0xd3, 0xc3, 0x78, 0xa2, 0x2d, 0xc5, 0xde, 0x1d, 0x85, 0x65, 0x22, 0x32, 0x5c, 0x65, 0xb5, 0x04, 0x49, 0x1a, 0x0c, 0xbd, 0x01, 0xcb, 0x8f, 0x3a, 0xa6, 0x7f, 0xfd, 0x4a},
{0xf5, 0x28, 0xb4, 0x10, 0xcb, 0x54, 0x1f, 0x77, 0x00, 0x0d, 0x7a, 0xfb, 0x6c, 0x5b, 0x53, 0xc5, 0xc4, 0x71, 0xea, 0xb4, 0x3e, 0x46, 0x6d, 0x9a, 0xc5, 0x19, 0x0c, 0x39, 0xc8, 0x2f, 0xd8, 0x2e}
};
static const unsigned char key2[64] = {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55};
static const unsigned char out2[3][32] = {
{0x9c, 0x23, 0x6c, 0x16, 0x5b, 0x82, 0xae, 0x0c, 0xd5, 0x90, 0x65, 0x9e, 0x10, 0x0b, 0x6b, 0xab, 0x30, 0x36, 0xe7, 0xba, 0x8b, 0x06, 0x74, 0x9b, 0xaf, 0x69, 0x81, 0xe1, 0x6f, 0x1a, 0x2b, 0x95},
{0xdf, 0x47, 0x10, 0x61, 0x62, 0x5b, 0xc0, 0xea, 0x14, 0xb6, 0x82, 0xfe, 0xee, 0x2c, 0x9c, 0x02, 0xf2, 0x35, 0xda, 0x04, 0x20, 0x4c, 0x1d, 0x62, 0xa1, 0x53, 0x6c, 0x6e, 0x17, 0xae, 0xd7, 0xa9},
{0x75, 0x97, 0x88, 0x7c, 0xbd, 0x76, 0x32, 0x1f, 0x32, 0xe3, 0x04, 0x40, 0x67, 0x9a, 0x22, 0xcf, 0x7f, 0x8d, 0x9d, 0x2e, 0xac, 0x39, 0x0e, 0x58, 0x1f, 0xea, 0x09, 0x1c, 0xe2, 0x02, 0xba, 0x94}
};
secp256k1_rfc6979_hmac_sha256 rng;
unsigned char out[32];
int i;
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(memcmp(out, out1[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 65);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(memcmp(out, out1[i], 32) != 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key2, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(memcmp(out, out2[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
}
/***** RANDOM TESTS *****/
void test_rand_bits(int rand32, int bits) {
/* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to
* get a false negative chance below once in a billion */
static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316};
/* We try multiplying the results with various odd numbers, which shouldn't
* influence the uniform distribution modulo a power of 2. */
static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011};
/* We only select up to 6 bits from the output to analyse */
unsigned int usebits = bits > 6 ? 6 : bits;
unsigned int maxshift = bits - usebits;
/* For each of the maxshift+1 usebits-bit sequences inside a bits-bit
number, track all observed outcomes, one per bit in a uint64_t. */
uint64_t x[6][27] = {{0}};
unsigned int i, shift, m;
/* Multiply the output of all rand calls with the odd number m, which
should not change the uniformity of its distribution. */
for (i = 0; i < rounds[usebits]; i++) {
uint32_t r = (rand32 ? secp256k1_rand32() : secp256k1_rand_bits(bits));
CHECK((((uint64_t)r) >> bits) == 0);
for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) {
uint32_t rm = r * mults[m];
for (shift = 0; shift <= maxshift; shift++) {
x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1)));
}
}
}
for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) {
for (shift = 0; shift <= maxshift; shift++) {
/* Test that the lower usebits bits of x[shift] are 1 */
CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0);
}
}
}
/* Subrange must be a whole divisor of range, and at most 64 */
void test_rand_int(uint32_t range, uint32_t subrange) {
/* (1-1/subrange)^rounds < 1/10^9 */
int rounds = (subrange * 2073) / 100;
int i;
uint64_t x = 0;
CHECK((range % subrange) == 0);
for (i = 0; i < rounds; i++) {
uint32_t r = secp256k1_rand_int(range);
CHECK(r < range);
r = r % subrange;
x |= (((uint64_t)1) << r);
}
/* Test that the lower subrange bits of x are 1. */
CHECK(((~x) << (64 - subrange)) == 0);
}
void run_rand_bits(void) {
size_t b;
test_rand_bits(1, 32);
for (b = 1; b <= 32; b++) {
test_rand_bits(0, b);
}
}
void run_rand_int(void) {
static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432};
static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64};
unsigned int m, s;
for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) {
for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) {
test_rand_int(ms[m] * ss[s], ss[s]);
}
}
}
/***** NUM TESTS *****/
#ifndef USE_NUM_NONE
void random_num_negate(secp256k1_num *num) {
if (secp256k1_rand_bits(1)) {
secp256k1_num_negate(num);
}
}
void random_num_order_test(secp256k1_num *num) {
secp256k1_scalar sc;
random_scalar_order_test(&sc);
secp256k1_scalar_get_num(num, &sc);
}
void random_num_order(secp256k1_num *num) {
secp256k1_scalar sc;
random_scalar_order(&sc);
secp256k1_scalar_get_num(num, &sc);
}
void test_num_negate(void) {
secp256k1_num n1;
secp256k1_num n2;
random_num_order_test(&n1); /* n1 = R */
random_num_negate(&n1);
secp256k1_num_copy(&n2, &n1); /* n2 = R */
secp256k1_num_sub(&n1, &n2, &n1); /* n1 = n2-n1 = 0 */
CHECK(secp256k1_num_is_zero(&n1));
secp256k1_num_copy(&n1, &n2); /* n1 = R */
secp256k1_num_negate(&n1); /* n1 = -R */
CHECK(!secp256k1_num_is_zero(&n1));
secp256k1_num_add(&n1, &n2, &n1); /* n1 = n2+n1 = 0 */
CHECK(secp256k1_num_is_zero(&n1));
secp256k1_num_copy(&n1, &n2); /* n1 = R */
secp256k1_num_negate(&n1); /* n1 = -R */
CHECK(secp256k1_num_is_neg(&n1) != secp256k1_num_is_neg(&n2));
secp256k1_num_negate(&n1); /* n1 = R */
CHECK(secp256k1_num_eq(&n1, &n2));
}
void test_num_add_sub(void) {
int i;
secp256k1_scalar s;
secp256k1_num n1;
secp256k1_num n2;
secp256k1_num n1p2, n2p1, n1m2, n2m1;
random_num_order_test(&n1); /* n1 = R1 */
if (secp256k1_rand_bits(1)) {
random_num_negate(&n1);
}
random_num_order_test(&n2); /* n2 = R2 */
if (secp256k1_rand_bits(1)) {
random_num_negate(&n2);
}
secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */
secp256k1_num_add(&n2p1, &n2, &n1); /* n2p1 = R2 + R1 */
secp256k1_num_sub(&n1m2, &n1, &n2); /* n1m2 = R1 - R2 */
secp256k1_num_sub(&n2m1, &n2, &n1); /* n2m1 = R2 - R1 */
CHECK(secp256k1_num_eq(&n1p2, &n2p1));
CHECK(!secp256k1_num_eq(&n1p2, &n1m2));
secp256k1_num_negate(&n2m1); /* n2m1 = -R2 + R1 */
CHECK(secp256k1_num_eq(&n2m1, &n1m2));
CHECK(!secp256k1_num_eq(&n2m1, &n1));
secp256k1_num_add(&n2m1, &n2m1, &n2); /* n2m1 = -R2 + R1 + R2 = R1 */
CHECK(secp256k1_num_eq(&n2m1, &n1));
CHECK(!secp256k1_num_eq(&n2p1, &n1));
secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */
CHECK(secp256k1_num_eq(&n2p1, &n1));
/* check is_one */
secp256k1_scalar_set_int(&s, 1);
secp256k1_scalar_get_num(&n1, &s);
CHECK(secp256k1_num_is_one(&n1));
/* check that 2^n + 1 is never 1 */
secp256k1_scalar_get_num(&n2, &s);
for (i = 0; i < 250; ++i) {
secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */
secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */
CHECK(!secp256k1_num_is_one(&n1p2));
}
}
void test_num_mod(void) {
int i;
secp256k1_scalar s;
secp256k1_num order, n;
/* check that 0 mod anything is 0 */
random_scalar_order_test(&s);
secp256k1_scalar_get_num(&order, &s);
secp256k1_scalar_set_int(&s, 0);
secp256k1_scalar_get_num(&n, &s);
secp256k1_num_mod(&n, &order);
CHECK(secp256k1_num_is_zero(&n));
/* check that anything mod 1 is 0 */
secp256k1_scalar_set_int(&s, 1);
secp256k1_scalar_get_num(&order, &s);
secp256k1_scalar_get_num(&n, &s);
secp256k1_num_mod(&n, &order);
CHECK(secp256k1_num_is_zero(&n));
/* check that increasing the number past 2^256 does not break this */
random_scalar_order_test(&s);
secp256k1_scalar_get_num(&n, &s);
/* multiply by 2^8, which'll test this case with high probability */
for (i = 0; i < 8; ++i) {
secp256k1_num_add(&n, &n, &n);
}
secp256k1_num_mod(&n, &order);
CHECK(secp256k1_num_is_zero(&n));
}
void test_num_jacobi(void) {
secp256k1_scalar sqr;
secp256k1_scalar small;
secp256k1_scalar five; /* five is not a quadratic residue */
secp256k1_num order, n;
int i;
/* squares mod 5 are 1, 4 */
const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 };
/* check some small values with 5 as the order */
secp256k1_scalar_set_int(&five, 5);
secp256k1_scalar_get_num(&order, &five);
for (i = 0; i < 10; ++i) {
secp256k1_scalar_set_int(&small, i);
secp256k1_scalar_get_num(&n, &small);
CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]);
}
/** test large values with 5 as group order */
secp256k1_scalar_get_num(&order, &five);
/* we first need a scalar which is not a multiple of 5 */
do {
secp256k1_num fiven;
random_scalar_order_test(&sqr);
secp256k1_scalar_get_num(&fiven, &five);
secp256k1_scalar_get_num(&n, &sqr);
secp256k1_num_mod(&n, &fiven);
} while (secp256k1_num_is_zero(&n));
/* next force it to be a residue. 2 is a nonresidue mod 5 so we can
* just multiply by two, i.e. add the number to itself */
if (secp256k1_num_jacobi(&n, &order) == -1) {
secp256k1_num_add(&n, &n, &n);
}
/* test residue */
CHECK(secp256k1_num_jacobi(&n, &order) == 1);
/* test nonresidue */
secp256k1_num_add(&n, &n, &n);
CHECK(secp256k1_num_jacobi(&n, &order) == -1);
/** test with secp group order as order */
secp256k1_scalar_order_get_num(&order);
random_scalar_order_test(&sqr);
secp256k1_scalar_sqr(&sqr, &sqr);
/* test residue */
secp256k1_scalar_get_num(&n, &sqr);
CHECK(secp256k1_num_jacobi(&n, &order) == 1);
/* test nonresidue */
secp256k1_scalar_mul(&sqr, &sqr, &five);
secp256k1_scalar_get_num(&n, &sqr);
CHECK(secp256k1_num_jacobi(&n, &order) == -1);
/* test multiple of the order*/
CHECK(secp256k1_num_jacobi(&order, &order) == 0);
/* check one less than the order */
secp256k1_scalar_set_int(&small, 1);
secp256k1_scalar_get_num(&n, &small);
secp256k1_num_sub(&n, &order, &n);
CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */
}
void run_num_smalltests(void) {
int i;
for (i = 0; i < 100*count; i++) {
test_num_negate();
test_num_add_sub();
test_num_mod();
test_num_jacobi();
}
}
#endif
/***** SCALAR TESTS *****/
void scalar_test(void) {
secp256k1_scalar s;
secp256k1_scalar s1;
secp256k1_scalar s2;
#ifndef USE_NUM_NONE
secp256k1_num snum, s1num, s2num;
secp256k1_num order, half_order;
#endif
unsigned char c[32];
/* Set 's' to a random scalar, with value 'snum'. */
random_scalar_order_test(&s);
/* Set 's1' to a random scalar, with value 's1num'. */
random_scalar_order_test(&s1);
/* Set 's2' to a random scalar, with value 'snum2', and byte array representation 'c'. */
random_scalar_order_test(&s2);
secp256k1_scalar_get_b32(c, &s2);
#ifndef USE_NUM_NONE
secp256k1_scalar_get_num(&snum, &s);
secp256k1_scalar_get_num(&s1num, &s1);
secp256k1_scalar_get_num(&s2num, &s2);
secp256k1_scalar_order_get_num(&order);
half_order = order;
secp256k1_num_shift(&half_order, 1);
#endif
{
int i;
/* Test that fetching groups of 4 bits from a scalar and recursing n(i)=16*n(i-1)+p(i) reconstructs it. */
secp256k1_scalar n;
secp256k1_scalar_set_int(&n, 0);
for (i = 0; i < 256; i += 4) {
secp256k1_scalar t;
int j;
secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits(&s, 256 - 4 - i, 4));
for (j = 0; j < 4; j++) {
secp256k1_scalar_add(&n, &n, &n);
}
secp256k1_scalar_add(&n, &n, &t);
}
CHECK(secp256k1_scalar_eq(&n, &s));
}
{
/* Test that fetching groups of randomly-sized bits from a scalar and recursing n(i)=b*n(i-1)+p(i) reconstructs it. */
secp256k1_scalar n;
int i = 0;
secp256k1_scalar_set_int(&n, 0);
while (i < 256) {
secp256k1_scalar t;
int j;
int now = secp256k1_rand_int(15) + 1;
if (now + i > 256) {
now = 256 - i;
}
secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits_var(&s, 256 - now - i, now));
for (j = 0; j < now; j++) {
secp256k1_scalar_add(&n, &n, &n);
}
secp256k1_scalar_add(&n, &n, &t);
i += now;
}
CHECK(secp256k1_scalar_eq(&n, &s));
}
#ifndef USE_NUM_NONE
{
/* Test that adding the scalars together is equal to adding their numbers together modulo the order. */
secp256k1_num rnum;
secp256k1_num r2num;
secp256k1_scalar r;
secp256k1_num_add(&rnum, &snum, &s2num);
secp256k1_num_mod(&rnum, &order);
secp256k1_scalar_add(&r, &s, &s2);
secp256k1_scalar_get_num(&r2num, &r);
CHECK(secp256k1_num_eq(&rnum, &r2num));
}
{
/* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */
secp256k1_scalar r;
secp256k1_num r2num;
secp256k1_num rnum;
secp256k1_num_mul(&rnum, &snum, &s2num);
secp256k1_num_mod(&rnum, &order);
secp256k1_scalar_mul(&r, &s, &s2);
secp256k1_scalar_get_num(&r2num, &r);
CHECK(secp256k1_num_eq(&rnum, &r2num));
/* The result can only be zero if at least one of the factors was zero. */
CHECK(secp256k1_scalar_is_zero(&r) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_zero(&s2)));
/* The results can only be equal to one of the factors if that factor was zero, or the other factor was one. */
CHECK(secp256k1_num_eq(&rnum, &snum) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_one(&s2)));
CHECK(secp256k1_num_eq(&rnum, &s2num) == (secp256k1_scalar_is_zero(&s2) || secp256k1_scalar_is_one(&s)));
}
{
secp256k1_scalar neg;
secp256k1_num negnum;
secp256k1_num negnum2;
/* Check that comparison with zero matches comparison with zero on the number. */
CHECK(secp256k1_num_is_zero(&snum) == secp256k1_scalar_is_zero(&s));
/* Check that comparison with the half order is equal to testing for high scalar. */
CHECK(secp256k1_scalar_is_high(&s) == (secp256k1_num_cmp(&snum, &half_order) > 0));
secp256k1_scalar_negate(&neg, &s);
secp256k1_num_sub(&negnum, &order, &snum);
secp256k1_num_mod(&negnum, &order);
/* Check that comparison with the half order is equal to testing for high scalar after negation. */
CHECK(secp256k1_scalar_is_high(&neg) == (secp256k1_num_cmp(&negnum, &half_order) > 0));
/* Negating should change the high property, unless the value was already zero. */
CHECK((secp256k1_scalar_is_high(&s) == secp256k1_scalar_is_high(&neg)) == secp256k1_scalar_is_zero(&s));
secp256k1_scalar_get_num(&negnum2, &neg);
/* Negating a scalar should be equal to (order - n) mod order on the number. */
CHECK(secp256k1_num_eq(&negnum, &negnum2));
secp256k1_scalar_add(&neg, &neg, &s);
/* Adding a number to its negation should result in zero. */
CHECK(secp256k1_scalar_is_zero(&neg));
secp256k1_scalar_negate(&neg, &neg);
/* Negating zero should still result in zero. */
CHECK(secp256k1_scalar_is_zero(&neg));
}
{
/* Test secp256k1_scalar_mul_shift_var. */
secp256k1_scalar r;
secp256k1_num one;
secp256k1_num rnum;
secp256k1_num rnum2;
unsigned char cone[1] = {0x01};
unsigned int shift = 256 + secp256k1_rand_int(257);
secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift);
secp256k1_num_mul(&rnum, &s1num, &s2num);
secp256k1_num_shift(&rnum, shift - 1);
secp256k1_num_set_bin(&one, cone, 1);
secp256k1_num_add(&rnum, &rnum, &one);
secp256k1_num_shift(&rnum, 1);
secp256k1_scalar_get_num(&rnum2, &r);
CHECK(secp256k1_num_eq(&rnum, &rnum2));
}
{
/* test secp256k1_scalar_shr_int */
secp256k1_scalar r;
int i;
random_scalar_order_test(&r);
for (i = 0; i < 100; ++i) {
int low;
int shift = 1 + secp256k1_rand_int(15);
int expected = r.d[0] % (1 << shift);
low = secp256k1_scalar_shr_int(&r, shift);
CHECK(expected == low);
}
}
#endif
{
/* Test that scalar inverses are equal to the inverse of their number modulo the order. */
if (!secp256k1_scalar_is_zero(&s)) {
secp256k1_scalar inv;
#ifndef USE_NUM_NONE
secp256k1_num invnum;
secp256k1_num invnum2;
#endif
secp256k1_scalar_inverse(&inv, &s);
#ifndef USE_NUM_NONE
secp256k1_num_mod_inverse(&invnum, &snum, &order);
secp256k1_scalar_get_num(&invnum2, &inv);
CHECK(secp256k1_num_eq(&invnum, &invnum2));
#endif
secp256k1_scalar_mul(&inv, &inv, &s);
/* Multiplying a scalar with its inverse must result in one. */
CHECK(secp256k1_scalar_is_one(&inv));
secp256k1_scalar_inverse(&inv, &inv);
/* Inverting one must result in one. */
CHECK(secp256k1_scalar_is_one(&inv));
#ifndef USE_NUM_NONE
secp256k1_scalar_get_num(&invnum, &inv);
CHECK(secp256k1_num_is_one(&invnum));
#endif
}
}
{
/* Test commutativity of add. */
secp256k1_scalar r1, r2;
secp256k1_scalar_add(&r1, &s1, &s2);
secp256k1_scalar_add(&r2, &s2, &s1);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
secp256k1_scalar r1, r2;
secp256k1_scalar b;
int i;
/* Test add_bit. */
int bit = secp256k1_rand_bits(8);
secp256k1_scalar_set_int(&b, 1);
CHECK(secp256k1_scalar_is_one(&b));
for (i = 0; i < bit; i++) {
secp256k1_scalar_add(&b, &b, &b);
}
r1 = s1;
r2 = s1;
if (!secp256k1_scalar_add(&r1, &r1, &b)) {
/* No overflow happened. */
secp256k1_scalar_cadd_bit(&r2, bit, 1);
CHECK(secp256k1_scalar_eq(&r1, &r2));
/* cadd is a noop when flag is zero */
secp256k1_scalar_cadd_bit(&r2, bit, 0);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
}
{
/* Test commutativity of mul. */
secp256k1_scalar r1, r2;
secp256k1_scalar_mul(&r1, &s1, &s2);
secp256k1_scalar_mul(&r2, &s2, &s1);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
/* Test associativity of add. */
secp256k1_scalar r1, r2;
secp256k1_scalar_add(&r1, &s1, &s2);
secp256k1_scalar_add(&r1, &r1, &s);
secp256k1_scalar_add(&r2, &s2, &s);
secp256k1_scalar_add(&r2, &s1, &r2);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
/* Test associativity of mul. */
secp256k1_scalar r1, r2;
secp256k1_scalar_mul(&r1, &s1, &s2);
secp256k1_scalar_mul(&r1, &r1, &s);
secp256k1_scalar_mul(&r2, &s2, &s);
secp256k1_scalar_mul(&r2, &s1, &r2);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
/* Test distributitivity of mul over add. */
secp256k1_scalar r1, r2, t;
secp256k1_scalar_add(&r1, &s1, &s2);
secp256k1_scalar_mul(&r1, &r1, &s);
secp256k1_scalar_mul(&r2, &s1, &s);
secp256k1_scalar_mul(&t, &s2, &s);
secp256k1_scalar_add(&r2, &r2, &t);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
/* Test square. */
secp256k1_scalar r1, r2;
secp256k1_scalar_sqr(&r1, &s1);
secp256k1_scalar_mul(&r2, &s1, &s1);
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
{
/* Test multiplicative identity. */
secp256k1_scalar r1, v1;
secp256k1_scalar_set_int(&v1,1);
secp256k1_scalar_mul(&r1, &s1, &v1);
CHECK(secp256k1_scalar_eq(&r1, &s1));
}
{
/* Test additive identity. */
secp256k1_scalar r1, v0;
secp256k1_scalar_set_int(&v0,0);
secp256k1_scalar_add(&r1, &s1, &v0);
CHECK(secp256k1_scalar_eq(&r1, &s1));
}
{
/* Test zero product property. */
secp256k1_scalar r1, v0;
secp256k1_scalar_set_int(&v0,0);
secp256k1_scalar_mul(&r1, &s1, &v0);
CHECK(secp256k1_scalar_eq(&r1, &v0));
}
}
void run_scalar_tests(void) {
int i;
for (i = 0; i < 128 * count; i++) {
scalar_test();
}
{
/* (-1)+1 should be zero. */
secp256k1_scalar s, o;
secp256k1_scalar_set_int(&s, 1);
CHECK(secp256k1_scalar_is_one(&s));
secp256k1_scalar_negate(&o, &s);
secp256k1_scalar_add(&o, &o, &s);
CHECK(secp256k1_scalar_is_zero(&o));
secp256k1_scalar_negate(&o, &o);
CHECK(secp256k1_scalar_is_zero(&o));
}
#ifndef USE_NUM_NONE
{
/* A scalar with value of the curve order should be 0. */
secp256k1_num order;
secp256k1_scalar zero;
unsigned char bin[32];
int overflow = 0;
secp256k1_scalar_order_get_num(&order);
secp256k1_num_get_bin(bin, 32, &order);
secp256k1_scalar_set_b32(&zero, bin, &overflow);
CHECK(overflow == 1);
CHECK(secp256k1_scalar_is_zero(&zero));
}
#endif
{
/* Does check_overflow check catch all ones? */
static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST(
0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,