summaryrefslogtreecommitdiff
path: root/regress/lib/libcrypto/ec/ec_point_conversion.c
blob: a0b849d16106ee66ca69324907907a3562efbe77 (plain)
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
/*	$OpenBSD: ec_point_conversion.c,v 1.17 2024/10/23 15:06:46 tb Exp $ */
/*
 * Copyright (c) 2021 Theo Buehler <tb@openbsd.org>
 * Copyright (c) 2021 Joel Sing <jsing@openbsd.org>
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 *
 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 */

#include <err.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include <openssl/bn.h>
#include <openssl/ec.h>
#include <openssl/objects.h>

int forms[] = {
	POINT_CONVERSION_COMPRESSED,
	POINT_CONVERSION_UNCOMPRESSED,
	POINT_CONVERSION_HYBRID,
};

static const size_t N_FORMS = sizeof(forms) / sizeof(forms[0]);
#define N_RANDOM_POINTS 10

static const char *
form2str(int form)
{
	switch (form) {
	case POINT_CONVERSION_COMPRESSED:
		return "compressed form";
	case POINT_CONVERSION_UNCOMPRESSED:
		return "uncompressed form";
	case POINT_CONVERSION_HYBRID:
		return "hybrid form";
	default:
		return "unknown form";
	}
}

static void
hexdump(const unsigned char *buf, size_t len)
{
	size_t i;

	for (i = 1; i <= len; i++)
		fprintf(stderr, " 0x%02hhx,%s", buf[i - 1], i % 8 ? "" : "\n");
	if (len % 8)
		fprintf(stderr, "\n");
}

static int
roundtrip(EC_GROUP *group, EC_POINT *point, int form, BIGNUM *x, BIGNUM *y)
{
	BIGNUM *x_out = NULL, *y_out = NULL;
	size_t len;
	uint8_t *buf = NULL;
	int failed = 1;

	if ((len = EC_POINT_point2oct(group, point, form, NULL, 0, NULL)) == 0)
		errx(1, "point2oct");
	if ((buf = malloc(len)) == NULL)
		errx(1, "malloc");
	if (EC_POINT_point2oct(group, point, form, buf, len, NULL) != len)
		errx(1, "point2oct");

	if (!EC_POINT_oct2point(group, point, buf, len, NULL))
		errx(1, "%s oct2point", form2str(form));

	if ((x_out = BN_new()) == NULL)
		errx(1, "new x_out");
	if ((y_out = BN_new()) == NULL)
		errx(1, "new y_out");

	if (!EC_POINT_get_affine_coordinates(group, point, x_out, y_out, NULL))
		errx(1, "get affine");

	if (BN_cmp(x, x_out) != 0) {
		warnx("%s: x", form2str(form));
		goto err;
	}
	if (BN_cmp(y, y_out) != 0) {
		warnx("%s: y", form2str(form));
		goto err;
	}

	failed = 0;

 err:
	if (failed)
		hexdump(buf, len);

	free(buf);
	BN_free(x_out);
	BN_free(y_out);

	return failed;
}

/* XXX This only tests multiples of the generator for now... */
static int
test_random_points_on_curve(EC_builtin_curve *curve)
{
	EC_GROUP *group;
	BIGNUM *order = NULL;
	BIGNUM *random;
	BIGNUM *x, *y;
	size_t i, j;
	int failed = 0;

	if ((group = EC_GROUP_new_by_curve_name(curve->nid)) == NULL)
		errx(1, "EC_GROUP_new_by_curve_name(%s)",
		    OBJ_nid2sn(curve->nid));

	if ((order = BN_new()) == NULL)
		errx(1, "BN_new order");
	if ((random = BN_new()) == NULL)
		errx(1, "BN_new random");
	if ((x = BN_new()) == NULL)
		errx(1, "BN_new x");
	if ((y = BN_new()) == NULL)
		errx(1, "BN_new y");

	if (!EC_GROUP_get_order(group, order, NULL))
		errx(1, "EC_group_get_order");

	for (i = 0; i < N_RANDOM_POINTS; i++) {
		EC_POINT *random_point;

		do {
			if (!BN_rand_range(random, order))
				errx(1, "BN_rand_range");
		} while (BN_is_zero(random));

		if ((random_point = EC_POINT_new(group)) == NULL)
			errx(1, "EC_POINT_new");

		if (!EC_POINT_mul(group, random_point, random, NULL, NULL, NULL))
			errx(1, "EC_POINT_mul");

		if (EC_POINT_is_at_infinity(group, random_point)) {
			EC_POINT_free(random_point);

			warnx("info: got infinity");
			fprintf(stderr, "random = ");
			BN_print_fp(stderr, random);
			fprintf(stderr, "\n");

			continue;
		}

		if (!EC_POINT_get_affine_coordinates(group, random_point,
		    x, y, NULL))
			errx(1, "EC_POINT_get_affine_coordinates");

		for (j = 0; j < N_FORMS; j++)
			failed |= roundtrip(group, random_point, forms[j], x, y);

		EC_POINT_free(random_point);
	}

	BN_free(order);
	BN_free(random);
	BN_free(x);
	BN_free(y);
	EC_GROUP_free(group);

	return failed;
}

static int
test_random_points(void)
{
	EC_builtin_curve *all_curves = NULL;
	size_t ncurves = 0;
	size_t curve_id;
	int failed = 0;

	ncurves = EC_get_builtin_curves(NULL, 0);
	if ((all_curves = calloc(ncurves, sizeof(EC_builtin_curve))) == NULL)
		err(1, "calloc builtin curves");
	EC_get_builtin_curves(all_curves, ncurves);

	for (curve_id = 0; curve_id < ncurves; curve_id++)
		failed |= test_random_points_on_curve(&all_curves[curve_id]);

	fprintf(stderr, "%s %s\n", __func__, failed ? ": FAILED" : "");

	free(all_curves);
	return failed;
}

static const struct point_conversion {
	const char *description;
	int nid;
	uint8_t octets[256];
	size_t octets_len;
	int valid;
	int point_at_infinity;
} point_conversions[] = {
	/* XXX - now that sect571 is no longer tested, add another test? */
	{
		.description = "point at infinity on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = { 0x00 },
		.octets_len = 1,
		.valid = 1,
		.point_at_infinity = 1,
	},
	{
		.description = "point at infinity on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = { 0x01 },
		.octets_len = 1,
		.valid = 0,
		.point_at_infinity = 1,
	},
	{
		.description = "zero x compressed point on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00,
		},
		.octets_len = 33,
		.valid = 1,
	},
	{
		.description =
		    "zero x compressed point on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00,
		},
		.octets_len = 33,
		.valid = 1,
	},
	{
		.description = "generic compressed point on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x03, 0xa3, 0x96, 0xa0, 0x42, 0x73, 0x1a, 0x8b,
			0x90, 0xd8, 0xcb, 0xae, 0xda, 0x1b, 0x23, 0x11,
			0x77, 0x5f, 0x6a, 0x4c, 0xb4, 0x57, 0xbf, 0xe0,
			0x65, 0xd4, 0x09, 0x11, 0x5f, 0x54, 0xe4, 0xee,
			0xdd,
		},
		.octets_len = 33,
		.valid = 1,
	},
	{
		.description =
		    "generic compressed point on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x02, 0xa3, 0x96, 0xa0, 0x42, 0x73, 0x1a, 0x8b,
			0x90, 0xd8, 0xcb, 0xae, 0xda, 0x1b, 0x23, 0x11,
			0x77, 0x5f, 0x6a, 0x4c, 0xb4, 0x57, 0xbf, 0xe0,
			0x65, 0xd4, 0x09, 0x11, 0x5f, 0x54, 0xe4, 0xee,
			0xdd,
		},
		.octets_len = 33,
		.valid = 1,
	},
	{
		.description = "zero x uncompressed point #1 on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x66, 0x48, 0x5c, 0x78, 0x0e, 0x2f, 0x83,
			0xd7, 0x24, 0x33, 0xbd, 0x5d, 0x84, 0xa0, 0x6b,
			0xb6, 0x54, 0x1c, 0x2a, 0xf3, 0x1d, 0xae, 0x87,
			0x17, 0x28, 0xbf, 0x85, 0x6a, 0x17, 0x4f, 0x93,
			0xf4,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "zero x uncompressed point #1 on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x66, 0x48, 0x5c, 0x78, 0x0e, 0x2f, 0x83,
			0xd7, 0x24, 0x33, 0xbd, 0x5d, 0x84, 0xa0, 0x6b,
			0xb6, 0x54, 0x1c, 0x2a, 0xf3, 0x1d, 0xae, 0x87,
			0x17, 0x28, 0xbf, 0x85, 0x6a, 0x17, 0x4f, 0x93,
			0xf4,
		},
		.octets_len = 65,
		.valid = 0,
	},
	{
		.description = "zero x uncompressed point #2 on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x99, 0xb7, 0xa3, 0x86, 0xf1, 0xd0, 0x7c,
			0x29, 0xdb, 0xcc, 0x42, 0xa2, 0x7b, 0x5f, 0x94,
			0x49, 0xab, 0xe3, 0xd5, 0x0d, 0xe2, 0x51, 0x78,
			0xe8, 0xd7, 0x40, 0x7a, 0x95, 0xe8, 0xb0, 0x6c,
			0x0b,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "zero x uncompressed point #2 on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x99, 0xb7, 0xa3, 0x86, 0xf1, 0xd0, 0x7c,
			0x29, 0xdb, 0xcc, 0x42, 0xa2, 0x7b, 0x5f, 0x94,
			0x49, 0xab, 0xe3, 0xd5, 0x0d, 0xe2, 0x51, 0x78,
			0xe8, 0xd7, 0x40, 0x7a, 0x95, 0xe8, 0xb0, 0x6c,
			0x0b,
		},
		.octets_len = 65,
		.valid = 0,
	},
	{
		.description = "generic uncompressed point on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x04, 0x23, 0xe5, 0x85, 0xa5, 0x4b, 0xda, 0x34,
			0x7e, 0xe5, 0x65, 0x53, 0x7f, 0x3b, 0xce, 0xe4,
			0x54, 0xd8, 0xa4, 0x5a, 0x53, 0x4b, 0xb0, 0x4c,
			0xb9, 0x31, 0x09, 0x29, 0xa2, 0x03, 0x4c, 0x73,
			0x20, 0xd2, 0xc6, 0x17, 0xca, 0xe3, 0xcf, 0xc2,
			0xd8, 0x31, 0xfe, 0xf1, 0x7c, 0x6f, 0x9d, 0x7a,
			0x01, 0x7c, 0x34, 0x65, 0x42, 0x05, 0xaf, 0xcc,
			0x04, 0xa3, 0x2f, 0x44, 0x14, 0xbe, 0xd8, 0xc2,
			0x03,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "generic uncompressed point on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x05, 0x23, 0xe5, 0x85, 0xa5, 0x4b, 0xda, 0x34,
			0x7e, 0xe5, 0x65, 0x53, 0x7f, 0x3b, 0xce, 0xe4,
			0x54, 0xd8, 0xa4, 0x5a, 0x53, 0x4b, 0xb0, 0x4c,
			0xb9, 0x31, 0x09, 0x29, 0xa2, 0x03, 0x4c, 0x73,
			0x20, 0xd2, 0xc6, 0x17, 0xca, 0xe3, 0xcf, 0xc2,
			0xd8, 0x31, 0xfe, 0xf1, 0x7c, 0x6f, 0x9d, 0x7a,
			0x01, 0x7c, 0x34, 0x65, 0x42, 0x05, 0xaf, 0xcc,
			0x04, 0xa3, 0x2f, 0x44, 0x14, 0xbe, 0xd8, 0xc2,
			0x03,
		},
		.octets_len = 65,
		.valid = 0,
	},
	{
		.description = "zero x hybrid point #1 on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x06, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x66, 0x48, 0x5c, 0x78, 0x0e, 0x2f, 0x83,
			0xd7, 0x24, 0x33, 0xbd, 0x5d, 0x84, 0xa0, 0x6b,
			0xb6, 0x54, 0x1c, 0x2a, 0xf3, 0x1d, 0xae, 0x87,
			0x17, 0x28, 0xbf, 0x85, 0x6a, 0x17, 0x4f, 0x93,
			0xf4,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "zero x hybrid point #1 on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x66, 0x48, 0x5c, 0x78, 0x0e, 0x2f, 0x83,
			0xd7, 0x24, 0x33, 0xbd, 0x5d, 0x84, 0xa0, 0x6b,
			0xb6, 0x54, 0x1c, 0x2a, 0xf3, 0x1d, 0xae, 0x87,
			0x17, 0x28, 0xbf, 0x85, 0x6a, 0x17, 0x4f, 0x93,
			0xf4,
		},
		.octets_len = 65,
		.valid = 0,
	},
	{
		.description = "zero x hybrid point #2 on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x99, 0xb7, 0xa3, 0x86, 0xf1, 0xd0, 0x7c,
			0x29, 0xdb, 0xcc, 0x42, 0xa2, 0x7b, 0x5f, 0x94,
			0x49, 0xab, 0xe3, 0xd5, 0x0d, 0xe2, 0x51, 0x78,
			0xe8, 0xd7, 0x40, 0x7a, 0x95, 0xe8, 0xb0, 0x6c,
			0x0b,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "zero x hybrid point #2 on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x06, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
			0x00, 0x99, 0xb7, 0xa3, 0x86, 0xf1, 0xd0, 0x7c,
			0x29, 0xdb, 0xcc, 0x42, 0xa2, 0x7b, 0x5f, 0x94,
			0x49, 0xab, 0xe3, 0xd5, 0x0d, 0xe2, 0x51, 0x78,
			0xe8, 0xd7, 0x40, 0x7a, 0x95, 0xe8, 0xb0, 0x6c,
			0x0b,
		},
		.octets_len = 65,
		.valid = 0,
	},
	{
		.description = "generic hybrid point on secp256r1",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x07, 0x38, 0xb2, 0x98, 0x38, 0x21, 0x6b, 0xec,
			0x87, 0xcf, 0x50, 0xbb, 0x65, 0x11, 0x96, 0x63,
			0xf3, 0x90, 0x64, 0xc3, 0x5c, 0x59, 0xa5, 0x6f,
			0xaf, 0x56, 0x2a, 0x0c, 0xc0, 0x3a, 0x9b, 0x92,
			0x85, 0x95, 0x54, 0xf3, 0x08, 0x0f, 0x78, 0x59,
			0xa2, 0x44, 0x2f, 0x19, 0x5d, 0xd5, 0xcd, 0xf6,
			0xa5, 0xbe, 0x2f, 0x83, 0x70, 0x94, 0xf5, 0xcd,
			0x8c, 0x40, 0x7f, 0xd8, 0x97, 0x92, 0x14, 0xf7,
			0xc5,
		},
		.octets_len = 65,
		.valid = 1,
	},
	{
		.description =
		    "generic hybrid point on secp256r1 (flipped y_bit)",
		.nid = NID_X9_62_prime256v1,
		.octets = {
			0x06, 0x38, 0xb2, 0x98, 0x38, 0x21, 0x6b, 0xec,
			0x87, 0xcf, 0x50, 0xbb, 0x65, 0x11, 0x96, 0x63,
			0xf3, 0x90, 0x64, 0xc3, 0x5c, 0x59, 0xa5, 0x6f,
			0xaf, 0x56, 0x2a, 0x0c, 0xc0, 0x3a, 0x9b, 0x92,
			0x85, 0x95, 0x54, 0xf3, 0x08, 0x0f, 0x78, 0x59,
			0xa2, 0x44, 0x2f, 0x19, 0x5d, 0xd5, 0xcd, 0xf6,
			0xa5, 0xbe, 0x2f, 0x83, 0x70, 0x94, 0xf5, 0xcd,
			0x8c, 0x40, 0x7f, 0xd8, 0x97, 0x92, 0x14, 0xf7,
			0xc5,
		},
		.octets_len = 65,
		.valid = 0,
	},
};

static const size_t N_POINT_CONVERSIONS =
    sizeof(point_conversions) / sizeof(point_conversions[0]);

static int
check_point_at_infinity(const EC_GROUP *group, const EC_POINT *point,
    const struct point_conversion *test)
{
	const uint8_t conversion_forms[4] = { 0x00, 0x02, 0x04, 0x06, };
	uint8_t buf[1];
	uint8_t form;
	size_t i, ret;
	int failed = 0;

	/* The form for the point at infinity is expected to fail. */
	form = conversion_forms[0];

	ret = EC_POINT_point2oct(group, point, form, buf, sizeof(buf), NULL);
	if (ret != 0) {
		fprintf(stderr, "FAIL: %s: expected encoding with form 0x%02x "
		    "to fail, got %zu\n", test->description, form, ret);
		failed |= 1;
	}

	/* For all other forms we expect the zero octet. */
	for (i = 1; i < sizeof(conversion_forms); i++) {
		form = conversion_forms[i];

		ret = EC_POINT_point2oct(group, point, form, buf, sizeof(buf), NULL);
		if (ret != 1) {
			fprintf(stderr, "FAIL: %s: expected success, got %zu\n",
			    test->description, ret);
			failed |= 1;
			continue;
		}

		if (memcmp(buf, test->octets, test->octets_len) != 0) {
			fprintf(stderr, "FAIL: %s: want 0x%02x, got 0x%02x\n",
			    test->description, test->octets[0], buf[0]);
			failed |= 1;
			continue;
		}
	}

	return failed;
}

static int
point_conversion_form_y_bit(const struct point_conversion *test)
{
	EC_GROUP *group = NULL;
	EC_POINT *point = NULL;
	int ret;
	int failed = 0;

	if ((group = EC_GROUP_new_by_curve_name(test->nid)) == NULL)
		errx(1, "group");
	if ((point = EC_POINT_new(group)) == NULL)
		errx(1, "point");

	ret = EC_POINT_oct2point(group, point, test->octets, test->octets_len,
	    NULL);
	if (ret != test->valid) {
		fprintf(stderr, "%s want %d got %d\n", test->description,
		    test->valid, ret);
		failed |= 1;
	}

	if (test->valid && test->point_at_infinity) {
		failed |= check_point_at_infinity(group, point, test);
	} else if (test->valid) {
		uint8_t buf[256];
		uint8_t form = test->octets[0] & 0x06;
		size_t len;

		len = EC_POINT_point2oct(group, point, form, buf, sizeof(buf), NULL);

		if (len != test->octets_len) {
			fprintf(stderr, "%s: EC_POINT_point2oct: want %zu, got %zu\n",
			    test->description, test->octets_len, len);
			failed |= 1;
			goto failed;
		}
		if (memcmp(test->octets, buf, len) != 0) {
			fprintf(stderr, "%s: unexpected encoding\nwant:\n",
			    test->description);
			hexdump(test->octets, test->octets_len);
			fprintf(stderr, "\ngot:\n");
			hexdump(buf, len);
			failed |= 1;
			goto failed;
		}
	}

 failed:
	EC_GROUP_free(group);
	EC_POINT_free(point);

	return failed;
}

static int
test_point_conversions(void)
{
	size_t i;
	int failed = 0;

	for (i = 0; i < N_POINT_CONVERSIONS; i++)
		failed |= point_conversion_form_y_bit(&point_conversions[i]);

	fprintf(stderr, "%s %s\n", __func__, failed ? ": FAILED" : "");

	return failed;
}

int
main(int argc, char **argv)
{
	int failed = 0;

	failed |= test_random_points();
	failed |= test_point_conversions();

	return failed;
}