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Make a2i_ipadd an internal function
[thirdparty/openssl.git] / test / ectest.c
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35b73a1f 1/*
440e5d80 2 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
62763f68 3 *
440e5d80
RS
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
62763f68 8 */
440e5d80 9
7793f30e
BM
10/* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
12 *
0f113f3e 13 * Portions of the attached software ("Contribution") are developed by
7793f30e
BM
14 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
15 *
16 * The Contribution is licensed pursuant to the OpenSSL open source
17 * license provided above.
18 *
0f113f3e 19 * The elliptic curve binary polynomial software is originally written by
7793f30e
BM
20 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
21 *
22 */
62763f68 23
adfe54b7
BM
24#include <stdio.h>
25#include <stdlib.h>
0bf23d9b 26#ifdef FLAT_INC
0f113f3e 27# include "e_os.h"
0bf23d9b 28#else
0f113f3e 29# include "../e_os.h"
0bf23d9b 30#endif
413a4a04 31#include <string.h>
48fe4d62 32#include <time.h>
adfe54b7 33
bb62a8b0 34#ifdef OPENSSL_NO_EC
0f113f3e
MC
35int main(int argc, char *argv[])
36{
37 puts("Elliptic curves are disabled.");
38 return 0;
39}
bb62a8b0
BM
40#else
41
0f113f3e
MC
42# include <openssl/ec.h>
43# ifndef OPENSSL_NO_ENGINE
44# include <openssl/engine.h>
45# endif
46# include <openssl/err.h>
47# include <openssl/obj_mac.h>
48# include <openssl/objects.h>
49# include <openssl/rand.h>
50# include <openssl/bn.h>
51# include <openssl/opensslconf.h>
52
53# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058 54/* suppress "too big too optimize" warning */
0f113f3e
MC
55# pragma warning(disable:4959)
56# endif
57
58# define ABORT do { \
59 fflush(stdout); \
60 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
61 ERR_print_errors_fp(stderr); \
62 EXIT(1); \
adfe54b7
BM
63} while (0)
64
0f113f3e
MC
65# define TIMING_BASE_PT 0
66# define TIMING_RAND_PT 1
67# define TIMING_SIMUL 2
652ae06b 68
04daec86
BM
69/* test multiplication with group order, long and negative scalars */
70static void group_order_tests(EC_GROUP *group)
0f113f3e
MC
71{
72 BIGNUM *n1, *n2, *order;
73 EC_POINT *P = EC_POINT_new(group);
74 EC_POINT *Q = EC_POINT_new(group);
50e34aab
AP
75 EC_POINT *R = EC_POINT_new(group);
76 EC_POINT *S = EC_POINT_new(group);
0f113f3e
MC
77 BN_CTX *ctx = BN_CTX_new();
78 int i;
79
80 n1 = BN_new();
81 n2 = BN_new();
82 order = BN_new();
83 fprintf(stdout, "verify group order ...");
84 fflush(stdout);
85 if (!EC_GROUP_get_order(group, order, ctx))
86 ABORT;
87 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
88 ABORT;
89 if (!EC_POINT_is_at_infinity(group, Q))
90 ABORT;
91 fprintf(stdout, ".");
92 fflush(stdout);
93 if (!EC_GROUP_precompute_mult(group, ctx))
94 ABORT;
95 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
96 ABORT;
97 if (!EC_POINT_is_at_infinity(group, Q))
98 ABORT;
99 fprintf(stdout, " ok\n");
100 fprintf(stdout, "long/negative scalar tests ");
101 for (i = 1; i <= 2; i++) {
102 const BIGNUM *scalars[6];
103 const EC_POINT *points[6];
104
105 fprintf(stdout, i == 1 ?
106 "allowing precomputation ... " :
107 "without precomputation ... ");
108 if (!BN_set_word(n1, i))
109 ABORT;
110 /*
111 * If i == 1, P will be the predefined generator for which
112 * EC_GROUP_precompute_mult has set up precomputation.
113 */
114 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
115 ABORT;
116
117 if (!BN_one(n1))
118 ABORT;
119 /* n1 = 1 - order */
120 if (!BN_sub(n1, n1, order))
121 ABORT;
122 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
123 ABORT;
124 if (0 != EC_POINT_cmp(group, Q, P, ctx))
125 ABORT;
126
127 /* n2 = 1 + order */
128 if (!BN_add(n2, order, BN_value_one()))
129 ABORT;
130 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
131 ABORT;
132 if (0 != EC_POINT_cmp(group, Q, P, ctx))
133 ABORT;
134
135 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
136 if (!BN_mul(n2, n1, n2, ctx))
137 ABORT;
138 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
139 ABORT;
140 if (0 != EC_POINT_cmp(group, Q, P, ctx))
141 ABORT;
142
143 /* n2 = order^2 - 1 */
144 BN_set_negative(n2, 0);
145 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
146 ABORT;
147 /* Add P to verify the result. */
148 if (!EC_POINT_add(group, Q, Q, P, ctx))
149 ABORT;
150 if (!EC_POINT_is_at_infinity(group, Q))
151 ABORT;
152
153 /* Exercise EC_POINTs_mul, including corner cases. */
154 if (EC_POINT_is_at_infinity(group, P))
155 ABORT;
50e34aab
AP
156
157 scalars[0] = scalars[1] = BN_value_one();
158 points[0] = points[1] = P;
159
160 if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
161 ABORT;
162 if (!EC_POINT_dbl(group, S, points[0], ctx))
163 ABORT;
164 if (0 != EC_POINT_cmp(group, R, S, ctx))
165 ABORT;
166
0f113f3e
MC
167 scalars[0] = n1;
168 points[0] = Q; /* => infinity */
169 scalars[1] = n2;
170 points[1] = P; /* => -P */
171 scalars[2] = n1;
172 points[2] = Q; /* => infinity */
173 scalars[3] = n2;
174 points[3] = Q; /* => infinity */
175 scalars[4] = n1;
176 points[4] = P; /* => P */
177 scalars[5] = n2;
178 points[5] = Q; /* => infinity */
179 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
180 ABORT;
181 if (!EC_POINT_is_at_infinity(group, P))
182 ABORT;
183 }
184 fprintf(stdout, "ok\n");
185
186 EC_POINT_free(P);
187 EC_POINT_free(Q);
50e34aab
AP
188 EC_POINT_free(R);
189 EC_POINT_free(S);
0f113f3e
MC
190 BN_free(n1);
191 BN_free(n2);
192 BN_free(order);
193 BN_CTX_free(ctx);
194}
04daec86 195
c13d7c02 196static void prime_field_tests(void)
0f113f3e
MC
197{
198 BN_CTX *ctx = NULL;
199 BIGNUM *p, *a, *b;
200 EC_GROUP *group;
201 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
202 NULL, *P_384 = NULL, *P_521 = NULL;
203 EC_POINT *P, *Q, *R;
204 BIGNUM *x, *y, *z;
205 unsigned char buf[100];
206 size_t i, len;
207 int k;
208
0f113f3e
MC
209 ctx = BN_CTX_new();
210 if (!ctx)
211 ABORT;
0f113f3e
MC
212
213 p = BN_new();
214 a = BN_new();
215 b = BN_new();
216 if (!p || !a || !b)
217 ABORT;
218
219 if (!BN_hex2bn(&p, "17"))
220 ABORT;
221 if (!BN_hex2bn(&a, "1"))
222 ABORT;
223 if (!BN_hex2bn(&b, "1"))
224 ABORT;
225
226 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
227 * EC_GROUP_new_curve_GFp so
228 * that the library gets to
229 * choose the EC_METHOD */
230 if (!group)
231 ABORT;
232
233 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
234 ABORT;
235
236 {
237 EC_GROUP *tmp;
238 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
239 if (!tmp)
240 ABORT;
241 if (!EC_GROUP_copy(tmp, group))
242 ABORT;
243 EC_GROUP_free(group);
244 group = tmp;
245 }
246
247 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
248 ABORT;
249
250 fprintf(stdout,
251 "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
252 BN_print_fp(stdout, p);
253 fprintf(stdout, ")\n a = 0x");
254 BN_print_fp(stdout, a);
255 fprintf(stdout, "\n b = 0x");
256 BN_print_fp(stdout, b);
257 fprintf(stdout, "\n");
258
259 P = EC_POINT_new(group);
260 Q = EC_POINT_new(group);
261 R = EC_POINT_new(group);
262 if (!P || !Q || !R)
263 ABORT;
264
265 if (!EC_POINT_set_to_infinity(group, P))
266 ABORT;
267 if (!EC_POINT_is_at_infinity(group, P))
268 ABORT;
269
270 buf[0] = 0;
271 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
272 ABORT;
273
274 if (!EC_POINT_add(group, P, P, Q, ctx))
275 ABORT;
276 if (!EC_POINT_is_at_infinity(group, P))
277 ABORT;
278
279 x = BN_new();
280 y = BN_new();
281 z = BN_new();
282 if (!x || !y || !z)
283 ABORT;
284
285 if (!BN_hex2bn(&x, "D"))
286 ABORT;
287 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
288 ABORT;
68886be7 289 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
0f113f3e
MC
290 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
291 ABORT;
292 fprintf(stderr, "Point is not on curve: x = 0x");
293 BN_print_fp(stderr, x);
294 fprintf(stderr, ", y = 0x");
295 BN_print_fp(stderr, y);
296 fprintf(stderr, "\n");
297 ABORT;
298 }
299
300 fprintf(stdout, "A cyclic subgroup:\n");
301 k = 100;
302 do {
303 if (k-- == 0)
304 ABORT;
305
306 if (EC_POINT_is_at_infinity(group, P))
307 fprintf(stdout, " point at infinity\n");
308 else {
309 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
310 ABORT;
311
312 fprintf(stdout, " x = 0x");
313 BN_print_fp(stdout, x);
314 fprintf(stdout, ", y = 0x");
315 BN_print_fp(stdout, y);
316 fprintf(stdout, "\n");
317 }
318
319 if (!EC_POINT_copy(R, P))
320 ABORT;
321 if (!EC_POINT_add(group, P, P, Q, ctx))
322 ABORT;
323
0f113f3e
MC
324 }
325 while (!EC_POINT_is_at_infinity(group, P));
326
327 if (!EC_POINT_add(group, P, Q, R, ctx))
328 ABORT;
329 if (!EC_POINT_is_at_infinity(group, P))
330 ABORT;
331
332 len =
333 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
334 sizeof buf, ctx);
335 if (len == 0)
336 ABORT;
337 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
338 ABORT;
339 if (0 != EC_POINT_cmp(group, P, Q, ctx))
340 ABORT;
341 fprintf(stdout, "Generator as octet string, compressed form:\n ");
342 for (i = 0; i < len; i++)
343 fprintf(stdout, "%02X", buf[i]);
344
345 len =
346 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
347 sizeof buf, ctx);
348 if (len == 0)
349 ABORT;
350 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
351 ABORT;
352 if (0 != EC_POINT_cmp(group, P, Q, ctx))
353 ABORT;
354 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
355 for (i = 0; i < len; i++)
356 fprintf(stdout, "%02X", buf[i]);
357
358 len =
359 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
360 ctx);
361 if (len == 0)
362 ABORT;
363 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
364 ABORT;
365 if (0 != EC_POINT_cmp(group, P, Q, ctx))
366 ABORT;
367 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
368 for (i = 0; i < len; i++)
369 fprintf(stdout, "%02X", buf[i]);
370
371 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
372 ABORT;
373 fprintf(stdout,
374 "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
375 BN_print_fp(stdout, x);
376 fprintf(stdout, ", Y = 0x");
377 BN_print_fp(stdout, y);
378 fprintf(stdout, ", Z = 0x");
379 BN_print_fp(stdout, z);
380 fprintf(stdout, "\n");
381
382 if (!EC_POINT_invert(group, P, ctx))
383 ABORT;
384 if (0 != EC_POINT_cmp(group, P, R, ctx))
385 ABORT;
386
387 /*
388 * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
389 * 2000) -- not a NIST curve, but commonly used
390 */
391
392 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
393 ABORT;
394 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
395 ABORT;
396 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
397 ABORT;
398 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
399 ABORT;
400 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
401 ABORT;
402
403 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
404 ABORT;
405 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
406 ABORT;
407 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
408 ABORT;
68886be7 409 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
410 ABORT;
411 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
412 ABORT;
413 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
414 ABORT;
415
416 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
417 ABORT;
418 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
419 BN_print_fp(stdout, x);
420 fprintf(stdout, "\n y = 0x");
421 BN_print_fp(stdout, y);
422 fprintf(stdout, "\n");
423 /* G_y value taken from the standard: */
424 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
425 ABORT;
426 if (0 != BN_cmp(y, z))
427 ABORT;
428
429 fprintf(stdout, "verify degree ...");
430 if (EC_GROUP_get_degree(group) != 160)
431 ABORT;
432 fprintf(stdout, " ok\n");
433
434 group_order_tests(group);
435
75ebbd9a 436 if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
437 ABORT;
438 if (!EC_GROUP_copy(P_160, group))
439 ABORT;
440
441 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
442
443 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
444 ABORT;
445 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
446 ABORT;
447 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
448 ABORT;
449 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
450 ABORT;
451 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
452 ABORT;
453
454 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
455 ABORT;
456 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
457 ABORT;
68886be7 458 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
459 ABORT;
460 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
461 ABORT;
462 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
463 ABORT;
464
465 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
466 ABORT;
467 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
468 BN_print_fp(stdout, x);
469 fprintf(stdout, "\n y = 0x");
470 BN_print_fp(stdout, y);
471 fprintf(stdout, "\n");
472 /* G_y value taken from the standard: */
473 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
474 ABORT;
475 if (0 != BN_cmp(y, z))
476 ABORT;
477
478 fprintf(stdout, "verify degree ...");
479 if (EC_GROUP_get_degree(group) != 192)
480 ABORT;
481 fprintf(stdout, " ok\n");
482
483 group_order_tests(group);
484
75ebbd9a 485 if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
486 ABORT;
487 if (!EC_GROUP_copy(P_192, group))
488 ABORT;
489
490 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
491
492 if (!BN_hex2bn
493 (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
494 ABORT;
495 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
496 ABORT;
497 if (!BN_hex2bn
498 (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
499 ABORT;
500 if (!BN_hex2bn
501 (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
502 ABORT;
503 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
504 ABORT;
505
506 if (!BN_hex2bn
507 (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
508 ABORT;
509 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
510 ABORT;
68886be7 511 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
512 ABORT;
513 if (!BN_hex2bn
514 (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
515 ABORT;
516 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
517 ABORT;
518
519 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
520 ABORT;
521 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
522 BN_print_fp(stdout, x);
523 fprintf(stdout, "\n y = 0x");
524 BN_print_fp(stdout, y);
525 fprintf(stdout, "\n");
526 /* G_y value taken from the standard: */
527 if (!BN_hex2bn
528 (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
529 ABORT;
530 if (0 != BN_cmp(y, z))
531 ABORT;
532
533 fprintf(stdout, "verify degree ...");
534 if (EC_GROUP_get_degree(group) != 224)
535 ABORT;
536 fprintf(stdout, " ok\n");
537
538 group_order_tests(group);
539
75ebbd9a 540 if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
541 ABORT;
542 if (!EC_GROUP_copy(P_224, group))
543 ABORT;
544
545 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
546
547 if (!BN_hex2bn
548 (&p,
549 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
550 ABORT;
551 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
552 ABORT;
553 if (!BN_hex2bn
554 (&a,
555 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
556 ABORT;
557 if (!BN_hex2bn
558 (&b,
559 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
560 ABORT;
561 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
562 ABORT;
563
564 if (!BN_hex2bn
565 (&x,
566 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
567 ABORT;
568 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
569 ABORT;
68886be7 570 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
571 ABORT;
572 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
573 "84F3B9CAC2FC632551"))
574 ABORT;
575 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
576 ABORT;
577
578 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
579 ABORT;
580 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
581 BN_print_fp(stdout, x);
582 fprintf(stdout, "\n y = 0x");
583 BN_print_fp(stdout, y);
584 fprintf(stdout, "\n");
585 /* G_y value taken from the standard: */
586 if (!BN_hex2bn
587 (&z,
588 "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
589 ABORT;
590 if (0 != BN_cmp(y, z))
591 ABORT;
592
593 fprintf(stdout, "verify degree ...");
594 if (EC_GROUP_get_degree(group) != 256)
595 ABORT;
596 fprintf(stdout, " ok\n");
597
598 group_order_tests(group);
599
75ebbd9a 600 if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
601 ABORT;
602 if (!EC_GROUP_copy(P_256, group))
603 ABORT;
604
605 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
606
607 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
608 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
609 ABORT;
610 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
611 ABORT;
612 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
613 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
614 ABORT;
615 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
616 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
617 ABORT;
618 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
619 ABORT;
620
621 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
622 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
623 ABORT;
624 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
625 ABORT;
68886be7 626 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
627 ABORT;
628 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
629 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
630 ABORT;
631 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
632 ABORT;
633
634 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
635 ABORT;
636 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
637 BN_print_fp(stdout, x);
638 fprintf(stdout, "\n y = 0x");
639 BN_print_fp(stdout, y);
640 fprintf(stdout, "\n");
641 /* G_y value taken from the standard: */
642 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
643 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
644 ABORT;
645 if (0 != BN_cmp(y, z))
646 ABORT;
647
648 fprintf(stdout, "verify degree ...");
649 if (EC_GROUP_get_degree(group) != 384)
650 ABORT;
651 fprintf(stdout, " ok\n");
652
653 group_order_tests(group);
654
75ebbd9a 655 if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
656 ABORT;
657 if (!EC_GROUP_copy(P_384, group))
658 ABORT;
659
660 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
661
662 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
663 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
664 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
665 ABORT;
666 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
667 ABORT;
668 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
669 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
670 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
671 ABORT;
672 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
673 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
674 "DF883D2C34F1EF451FD46B503F00"))
675 ABORT;
676 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
677 ABORT;
678
679 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
680 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
681 "3C1856A429BF97E7E31C2E5BD66"))
682 ABORT;
683 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
684 ABORT;
68886be7 685 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
686 ABORT;
687 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
688 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
689 "C9B8899C47AEBB6FB71E91386409"))
690 ABORT;
691 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
692 ABORT;
693
694 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
695 ABORT;
696 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
697 BN_print_fp(stdout, x);
698 fprintf(stdout, "\n y = 0x");
699 BN_print_fp(stdout, y);
700 fprintf(stdout, "\n");
701 /* G_y value taken from the standard: */
702 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
703 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
704 "7086A272C24088BE94769FD16650"))
705 ABORT;
706 if (0 != BN_cmp(y, z))
707 ABORT;
708
709 fprintf(stdout, "verify degree ...");
710 if (EC_GROUP_get_degree(group) != 521)
711 ABORT;
712 fprintf(stdout, " ok\n");
713
714 group_order_tests(group);
715
75ebbd9a 716 if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
717 ABORT;
718 if (!EC_GROUP_copy(P_521, group))
719 ABORT;
720
721 /* more tests using the last curve */
722
723 if (!EC_POINT_copy(Q, P))
724 ABORT;
725 if (EC_POINT_is_at_infinity(group, Q))
726 ABORT;
727 if (!EC_POINT_dbl(group, P, P, ctx))
728 ABORT;
68886be7 729 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
730 ABORT;
731 if (!EC_POINT_invert(group, Q, ctx))
732 ABORT; /* P = -2Q */
733
734 if (!EC_POINT_add(group, R, P, Q, ctx))
735 ABORT;
736 if (!EC_POINT_add(group, R, R, Q, ctx))
737 ABORT;
738 if (!EC_POINT_is_at_infinity(group, R))
739 ABORT; /* R = P + 2Q */
740
741 {
742 const EC_POINT *points[4];
743 const BIGNUM *scalars[4];
744 BIGNUM *scalar3;
745
746 if (EC_POINT_is_at_infinity(group, Q))
747 ABORT;
748 points[0] = Q;
749 points[1] = Q;
750 points[2] = Q;
751 points[3] = Q;
752
753 if (!EC_GROUP_get_order(group, z, ctx))
754 ABORT;
755 if (!BN_add(y, z, BN_value_one()))
756 ABORT;
757 if (BN_is_odd(y))
758 ABORT;
759 if (!BN_rshift1(y, y))
760 ABORT;
761 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
762 scalars[1] = y;
763
764 fprintf(stdout, "combined multiplication ...");
765 fflush(stdout);
766
767 /* z is still the group order */
768 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
769 ABORT;
770 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
771 ABORT;
772 if (0 != EC_POINT_cmp(group, P, R, ctx))
773 ABORT;
774 if (0 != EC_POINT_cmp(group, R, Q, ctx))
775 ABORT;
776
777 fprintf(stdout, ".");
778 fflush(stdout);
779
780 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
781 ABORT;
782 if (!BN_add(z, z, y))
783 ABORT;
784 BN_set_negative(z, 1);
785 scalars[0] = y;
786 scalars[1] = z; /* z = -(order + y) */
787
788 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
789 ABORT;
790 if (!EC_POINT_is_at_infinity(group, P))
791 ABORT;
792
793 fprintf(stdout, ".");
794 fflush(stdout);
795
796 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
797 ABORT;
798 if (!BN_add(z, x, y))
799 ABORT;
800 BN_set_negative(z, 1);
801 scalars[0] = x;
802 scalars[1] = y;
803 scalars[2] = z; /* z = -(x+y) */
804
805 scalar3 = BN_new();
806 if (!scalar3)
807 ABORT;
808 BN_zero(scalar3);
809 scalars[3] = scalar3;
810
811 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
812 ABORT;
813 if (!EC_POINT_is_at_infinity(group, P))
814 ABORT;
815
816 fprintf(stdout, " ok\n\n");
817
818 BN_free(scalar3);
819 }
820
23a1d5e9 821 BN_CTX_free(ctx);
0f113f3e
MC
822 BN_free(p);
823 BN_free(a);
824 BN_free(b);
825 EC_GROUP_free(group);
826 EC_POINT_free(P);
827 EC_POINT_free(Q);
828 EC_POINT_free(R);
829 BN_free(x);
830 BN_free(y);
831 BN_free(z);
832
8fdc3734
RS
833 EC_GROUP_free(P_160);
834 EC_GROUP_free(P_192);
835 EC_GROUP_free(P_224);
836 EC_GROUP_free(P_256);
837 EC_GROUP_free(P_384);
838 EC_GROUP_free(P_521);
0f113f3e
MC
839
840}
7793f30e
BM
841
842/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
843# ifdef OPENSSL_EC_BIN_PT_COMP
844# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
845 if (!BN_hex2bn(&x, _x)) ABORT; \
846 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
68886be7 847 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
0f113f3e
MC
848 if (!BN_hex2bn(&z, _order)) ABORT; \
849 if (!BN_hex2bn(&cof, _cof)) ABORT; \
850 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
851 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
852 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
853 BN_print_fp(stdout, x); \
854 fprintf(stdout, "\n y = 0x"); \
855 BN_print_fp(stdout, y); \
856 fprintf(stdout, "\n"); \
857 /* G_y value taken from the standard: */ \
858 if (!BN_hex2bn(&z, _y)) ABORT; \
859 if (0 != BN_cmp(y, z)) ABORT;
860# else
861# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
862 if (!BN_hex2bn(&x, _x)) ABORT; \
863 if (!BN_hex2bn(&y, _y)) ABORT; \
864 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
68886be7 865 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
0f113f3e
MC
866 if (!BN_hex2bn(&z, _order)) ABORT; \
867 if (!BN_hex2bn(&cof, _cof)) ABORT; \
868 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
869 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
870 BN_print_fp(stdout, x); \
871 fprintf(stdout, "\n y = 0x"); \
872 BN_print_fp(stdout, y); \
873 fprintf(stdout, "\n");
874# endif
875
876# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
877 if (!BN_hex2bn(&p, _p)) ABORT; \
878 if (!BN_hex2bn(&a, _a)) ABORT; \
879 if (!BN_hex2bn(&b, _b)) ABORT; \
880 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
881 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
882 fprintf(stdout, "verify degree ..."); \
883 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
884 fprintf(stdout, " ok\n"); \
885 group_order_tests(group); \
75ebbd9a 886 if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \
0f113f3e
MC
887 if (!EC_GROUP_copy(_variable, group)) ABORT; \
888
889# ifndef OPENSSL_NO_EC2M
7793f30e 890
c13d7c02 891static void char2_field_tests(void)
0f113f3e
MC
892{
893 BN_CTX *ctx = NULL;
894 BIGNUM *p, *a, *b;
895 EC_GROUP *group;
896 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
897 NULL, *C2_K571 = NULL;
898 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
899 NULL, *C2_B571 = NULL;
900 EC_POINT *P, *Q, *R;
901 BIGNUM *x, *y, *z, *cof;
902 unsigned char buf[100];
903 size_t i, len;
904 int k;
905
0f113f3e
MC
906 ctx = BN_CTX_new();
907 if (!ctx)
908 ABORT;
0f113f3e
MC
909
910 p = BN_new();
911 a = BN_new();
912 b = BN_new();
913 if (!p || !a || !b)
914 ABORT;
915
916 if (!BN_hex2bn(&p, "13"))
917 ABORT;
918 if (!BN_hex2bn(&a, "3"))
919 ABORT;
920 if (!BN_hex2bn(&b, "1"))
921 ABORT;
922
923 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
924 * EC_GROUP_new_curve_GF2m
925 * so that the library gets
926 * to choose the EC_METHOD */
927 if (!group)
928 ABORT;
929 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
930 ABORT;
931
932 {
933 EC_GROUP *tmp;
934 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
935 if (!tmp)
936 ABORT;
937 if (!EC_GROUP_copy(tmp, group))
938 ABORT;
939 EC_GROUP_free(group);
940 group = tmp;
941 }
942
943 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
944 ABORT;
945
946 fprintf(stdout,
947 "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
948 BN_print_fp(stdout, p);
949 fprintf(stdout, ")\n a = 0x");
950 BN_print_fp(stdout, a);
951 fprintf(stdout, "\n b = 0x");
952 BN_print_fp(stdout, b);
953 fprintf(stdout, "\n(0x... means binary polynomial)\n");
954
955 P = EC_POINT_new(group);
956 Q = EC_POINT_new(group);
957 R = EC_POINT_new(group);
958 if (!P || !Q || !R)
959 ABORT;
960
961 if (!EC_POINT_set_to_infinity(group, P))
962 ABORT;
963 if (!EC_POINT_is_at_infinity(group, P))
964 ABORT;
965
966 buf[0] = 0;
967 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
968 ABORT;
969
970 if (!EC_POINT_add(group, P, P, Q, ctx))
971 ABORT;
972 if (!EC_POINT_is_at_infinity(group, P))
973 ABORT;
974
975 x = BN_new();
976 y = BN_new();
977 z = BN_new();
978 cof = BN_new();
979 if (!x || !y || !z || !cof)
980 ABORT;
981
982 if (!BN_hex2bn(&x, "6"))
983 ABORT;
7793f30e 984/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
985# ifdef OPENSSL_EC_BIN_PT_COMP
986 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
987 ABORT;
988# else
989 if (!BN_hex2bn(&y, "8"))
990 ABORT;
991 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
992 ABORT;
993# endif
68886be7 994 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
7793f30e 995/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
996# ifdef OPENSSL_EC_BIN_PT_COMP
997 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
998 ABORT;
999# endif
1000 fprintf(stderr, "Point is not on curve: x = 0x");
1001 BN_print_fp(stderr, x);
1002 fprintf(stderr, ", y = 0x");
1003 BN_print_fp(stderr, y);
1004 fprintf(stderr, "\n");
1005 ABORT;
1006 }
1007
1008 fprintf(stdout, "A cyclic subgroup:\n");
1009 k = 100;
1010 do {
1011 if (k-- == 0)
1012 ABORT;
1013
1014 if (EC_POINT_is_at_infinity(group, P))
1015 fprintf(stdout, " point at infinity\n");
1016 else {
1017 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1018 ABORT;
1019
1020 fprintf(stdout, " x = 0x");
1021 BN_print_fp(stdout, x);
1022 fprintf(stdout, ", y = 0x");
1023 BN_print_fp(stdout, y);
1024 fprintf(stdout, "\n");
1025 }
1026
1027 if (!EC_POINT_copy(R, P))
1028 ABORT;
1029 if (!EC_POINT_add(group, P, P, Q, ctx))
1030 ABORT;
1031 }
1032 while (!EC_POINT_is_at_infinity(group, P));
1033
1034 if (!EC_POINT_add(group, P, Q, R, ctx))
1035 ABORT;
1036 if (!EC_POINT_is_at_infinity(group, P))
1037 ABORT;
7793f30e
BM
1038
1039/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1040# ifdef OPENSSL_EC_BIN_PT_COMP
1041 len =
1042 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1043 sizeof buf, ctx);
1044 if (len == 0)
1045 ABORT;
1046 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1047 ABORT;
1048 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1049 ABORT;
1050 fprintf(stdout, "Generator as octet string, compressed form:\n ");
1051 for (i = 0; i < len; i++)
1052 fprintf(stdout, "%02X", buf[i]);
1053# endif
1054
1055 len =
1056 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1057 sizeof buf, ctx);
1058 if (len == 0)
1059 ABORT;
1060 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1061 ABORT;
1062 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1063 ABORT;
1064 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
1065 for (i = 0; i < len; i++)
1066 fprintf(stdout, "%02X", buf[i]);
7793f30e 1067
0f113f3e
MC
1068/* Change test based on whether binary point compression is enabled or not. */
1069# ifdef OPENSSL_EC_BIN_PT_COMP
1070 len =
1071 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1072 ctx);
1073 if (len == 0)
1074 ABORT;
1075 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1076 ABORT;
1077 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1078 ABORT;
1079 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
1080 for (i = 0; i < len; i++)
1081 fprintf(stdout, "%02X", buf[i]);
1082# endif
1083
1084 fprintf(stdout, "\n");
1085
1086 if (!EC_POINT_invert(group, P, ctx))
1087 ABORT;
1088 if (0 != EC_POINT_cmp(group, P, R, ctx))
1089 ABORT;
1090
1091 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1092 CHAR2_CURVE_TEST
1093 ("NIST curve K-163",
1094 "0800000000000000000000000000000000000000C9",
1095 "1",
1096 "1",
1097 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1098 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1099 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1100
1101 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1102 CHAR2_CURVE_TEST
1103 ("NIST curve B-163",
1104 "0800000000000000000000000000000000000000C9",
1105 "1",
1106 "020A601907B8C953CA1481EB10512F78744A3205FD",
1107 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1108 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1109 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1110
1111 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1112 CHAR2_CURVE_TEST
1113 ("NIST curve K-233",
1114 "020000000000000000000000000000000000000004000000000000000001",
1115 "0",
1116 "1",
1117 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1118 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1119 0,
1120 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1121 "4", 233, C2_K233);
1122
1123 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1124 CHAR2_CURVE_TEST
1125 ("NIST curve B-233",
1126 "020000000000000000000000000000000000000004000000000000000001",
1127 "000000000000000000000000000000000000000000000000000000000001",
1128 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1129 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1130 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1131 1,
1132 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1133 "2", 233, C2_B233);
1134
1135 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1136 CHAR2_CURVE_TEST
1137 ("NIST curve K-283",
1138 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1139 "0",
1140 "1",
1141 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1142 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1143 0,
1144 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1145 "4", 283, C2_K283);
1146
1147 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1148 CHAR2_CURVE_TEST
1149 ("NIST curve B-283",
1150 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1151 "000000000000000000000000000000000000000000000000000000000000000000000001",
1152 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1153 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1154 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1155 1,
1156 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1157 "2", 283, C2_B283);
1158
1159 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1160 CHAR2_CURVE_TEST
1161 ("NIST curve K-409",
1162 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1163 "0",
1164 "1",
1165 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1166 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1167 1,
1168 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1169 "4", 409, C2_K409);
1170
1171 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1172 CHAR2_CURVE_TEST
1173 ("NIST curve B-409",
1174 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1175 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1176 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1177 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1178 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1179 1,
1180 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1181 "2", 409, C2_B409);
1182
1183 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1184 CHAR2_CURVE_TEST
1185 ("NIST curve K-571",
1186 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1187 "0",
1188 "1",
1189 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1190 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1191 0,
1192 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1193 "4", 571, C2_K571);
1194
1195 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1196 CHAR2_CURVE_TEST
1197 ("NIST curve B-571",
1198 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1199 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1200 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1201 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1202 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1203 1,
1204 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1205 "2", 571, C2_B571);
1206
1207 /* more tests using the last curve */
1208
1209 if (!EC_POINT_copy(Q, P))
1210 ABORT;
1211 if (EC_POINT_is_at_infinity(group, Q))
1212 ABORT;
1213 if (!EC_POINT_dbl(group, P, P, ctx))
1214 ABORT;
68886be7 1215 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
1216 ABORT;
1217 if (!EC_POINT_invert(group, Q, ctx))
1218 ABORT; /* P = -2Q */
1219
1220 if (!EC_POINT_add(group, R, P, Q, ctx))
1221 ABORT;
1222 if (!EC_POINT_add(group, R, R, Q, ctx))
1223 ABORT;
1224 if (!EC_POINT_is_at_infinity(group, R))
1225 ABORT; /* R = P + 2Q */
1226
1227 {
1228 const EC_POINT *points[3];
1229 const BIGNUM *scalars[3];
1230
1231 if (EC_POINT_is_at_infinity(group, Q))
1232 ABORT;
1233 points[0] = Q;
1234 points[1] = Q;
1235 points[2] = Q;
1236
1237 if (!BN_add(y, z, BN_value_one()))
1238 ABORT;
1239 if (BN_is_odd(y))
1240 ABORT;
1241 if (!BN_rshift1(y, y))
1242 ABORT;
1243 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1244 scalars[1] = y;
1245
1246 fprintf(stdout, "combined multiplication ...");
1247 fflush(stdout);
1248
1249 /* z is still the group order */
1250 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1251 ABORT;
1252 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1253 ABORT;
1254 if (0 != EC_POINT_cmp(group, P, R, ctx))
1255 ABORT;
1256 if (0 != EC_POINT_cmp(group, R, Q, ctx))
1257 ABORT;
1258
1259 fprintf(stdout, ".");
1260 fflush(stdout);
1261
1262 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1263 ABORT;
1264 if (!BN_add(z, z, y))
1265 ABORT;
1266 BN_set_negative(z, 1);
1267 scalars[0] = y;
1268 scalars[1] = z; /* z = -(order + y) */
1269
1270 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1271 ABORT;
1272 if (!EC_POINT_is_at_infinity(group, P))
1273 ABORT;
1274
1275 fprintf(stdout, ".");
1276 fflush(stdout);
1277
1278 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1279 ABORT;
1280 if (!BN_add(z, x, y))
1281 ABORT;
1282 BN_set_negative(z, 1);
1283 scalars[0] = x;
1284 scalars[1] = y;
1285 scalars[2] = z; /* z = -(x+y) */
1286
1287 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1288 ABORT;
1289 if (!EC_POINT_is_at_infinity(group, P))
1290 ABORT;
1291
1292 fprintf(stdout, " ok\n\n");
1293 }
1294
23a1d5e9 1295 BN_CTX_free(ctx);
0f113f3e
MC
1296 BN_free(p);
1297 BN_free(a);
1298 BN_free(b);
1299 EC_GROUP_free(group);
1300 EC_POINT_free(P);
1301 EC_POINT_free(Q);
1302 EC_POINT_free(R);
1303 BN_free(x);
1304 BN_free(y);
1305 BN_free(z);
1306 BN_free(cof);
1307
8fdc3734
RS
1308 EC_GROUP_free(C2_K163);
1309 EC_GROUP_free(C2_B163);
1310 EC_GROUP_free(C2_K233);
1311 EC_GROUP_free(C2_B233);
1312 EC_GROUP_free(C2_K283);
1313 EC_GROUP_free(C2_B283);
1314 EC_GROUP_free(C2_K409);
1315 EC_GROUP_free(C2_B409);
1316 EC_GROUP_free(C2_K571);
1317 EC_GROUP_free(C2_B571);
0f113f3e
MC
1318
1319}
1320# endif
7793f30e 1321
5df2a249 1322static void internal_curve_test(void)
0f113f3e
MC
1323{
1324 EC_builtin_curve *curves = NULL;
1325 size_t crv_len = 0, n = 0;
1326 int ok = 1;
1327
1328 crv_len = EC_get_builtin_curves(NULL, 0);
b4faea50 1329 curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
0f113f3e
MC
1330 if (curves == NULL)
1331 return;
1332
1333 if (!EC_get_builtin_curves(curves, crv_len)) {
1334 OPENSSL_free(curves);
1335 return;
1336 }
1337
1338 fprintf(stdout, "testing internal curves: ");
1339
1340 for (n = 0; n < crv_len; n++) {
1341 EC_GROUP *group = NULL;
1342 int nid = curves[n].nid;
1343 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1344 ok = 0;
1345 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1346 " curve %s\n", OBJ_nid2sn(nid));
1347 /* try next curve */
1348 continue;
1349 }
1350 if (!EC_GROUP_check(group, NULL)) {
1351 ok = 0;
1352 fprintf(stdout, "\nEC_GROUP_check() failed with"
1353 " curve %s\n", OBJ_nid2sn(nid));
1354 EC_GROUP_free(group);
1355 /* try the next curve */
1356 continue;
1357 }
1358 fprintf(stdout, ".");
1359 fflush(stdout);
1360 EC_GROUP_free(group);
1361 }
1362 if (ok)
1363 fprintf(stdout, " ok\n\n");
1364 else {
1365 fprintf(stdout, " failed\n\n");
1366 ABORT;
1367 }
920ed8c8
BB
1368
1369 /* Test all built-in curves and let the library choose the EC_METHOD */
1370 for (n = 0; n < crv_len; n++) {
1371 EC_GROUP *group = NULL;
1372 int nid = curves[n].nid;
4a5bbc4e
DSH
1373 /*
1374 * Skip for X25519 because low level operations such as EC_POINT_mul()
1375 * are not supported for this curve
1376 */
1377 if (nid == NID_X25519)
1378 continue;
920ed8c8
BB
1379 fprintf(stdout, "%s:\n", OBJ_nid2sn(nid));
1380 fflush(stdout);
1381 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1382 ABORT;
1383 }
1384 group_order_tests(group);
1385 EC_GROUP_free(group);
1386 }
1387
0f113f3e
MC
1388 OPENSSL_free(curves);
1389 return;
1390}
1391
1392# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1393/*
1394 * nistp_test_params contains magic numbers for testing our optimized
1395 * implementations of several NIST curves with characteristic > 3.
1396 */
1397struct nistp_test_params {
1398 const EC_METHOD *(*meth) ();
1399 int degree;
1400 /*
1401 * Qx, Qy and D are taken from
79caf5d3 1402 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
0f113f3e
MC
1403 * Otherwise, values are standard curve parameters from FIPS 180-3
1404 */
1405 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1406};
1407
1408static const struct nistp_test_params nistp_tests_params[] = {
1409 {
1410 /* P-224 */
1411 EC_GFp_nistp224_method,
1412 224,
1413 /* p */
1414 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1415 /* a */
1416 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1417 /* b */
1418 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1419 /* Qx */
1420 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1421 /* Qy */
1422 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1423 /* Gx */
1424 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1425 /* Gy */
1426 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1427 /* order */
1428 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1429 /* d */
1430 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1431 },
1432 {
1433 /* P-256 */
1434 EC_GFp_nistp256_method,
1435 256,
1436 /* p */
1437 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1438 /* a */
1439 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1440 /* b */
1441 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1442 /* Qx */
1443 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1444 /* Qy */
1445 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1446 /* Gx */
1447 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1448 /* Gy */
1449 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1450 /* order */
1451 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1452 /* d */
1453 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1454 },
1455 {
1456 /* P-521 */
1457 EC_GFp_nistp521_method,
1458 521,
1459 /* p */
1460 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1461 /* a */
1462 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1463 /* b */
1464 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1465 /* Qx */
1466 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1467 /* Qy */
1468 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1469 /* Gx */
1470 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1471 /* Gy */
1472 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1473 /* order */
1474 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1475 /* d */
1476 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1477 },
1478};
3e00b4c9 1479
b597aab8 1480static void nistp_single_test(const struct nistp_test_params *test)
0f113f3e
MC
1481{
1482 BN_CTX *ctx;
1483 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1484 EC_GROUP *NISTP;
1485 EC_POINT *G, *P, *Q, *Q_CHECK;
1486
1487 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1488 test->degree);
1489 ctx = BN_CTX_new();
1490 p = BN_new();
1491 a = BN_new();
1492 b = BN_new();
1493 x = BN_new();
1494 y = BN_new();
1495 m = BN_new();
1496 n = BN_new();
1497 order = BN_new();
1498
1499 NISTP = EC_GROUP_new(test->meth());
1500 if (!NISTP)
1501 ABORT;
1502 if (!BN_hex2bn(&p, test->p))
1503 ABORT;
1504 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1505 ABORT;
1506 if (!BN_hex2bn(&a, test->a))
1507 ABORT;
1508 if (!BN_hex2bn(&b, test->b))
1509 ABORT;
1510 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1511 ABORT;
1512 G = EC_POINT_new(NISTP);
1513 P = EC_POINT_new(NISTP);
1514 Q = EC_POINT_new(NISTP);
1515 Q_CHECK = EC_POINT_new(NISTP);
1516 if (!BN_hex2bn(&x, test->Qx))
1517 ABORT;
1518 if (!BN_hex2bn(&y, test->Qy))
1519 ABORT;
1520 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1521 ABORT;
1522 if (!BN_hex2bn(&x, test->Gx))
1523 ABORT;
1524 if (!BN_hex2bn(&y, test->Gy))
1525 ABORT;
1526 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1527 ABORT;
1528 if (!BN_hex2bn(&order, test->order))
1529 ABORT;
1530 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1531 ABORT;
1532
1533 fprintf(stdout, "verify degree ... ");
1534 if (EC_GROUP_get_degree(NISTP) != test->degree)
1535 ABORT;
1536 fprintf(stdout, "ok\n");
1537
1538 fprintf(stdout, "NIST test vectors ... ");
1539 if (!BN_hex2bn(&n, test->d))
1540 ABORT;
1541 /* fixed point multiplication */
1542 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1543 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1544 ABORT;
1545 /* random point multiplication */
1546 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1547 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1548 ABORT;
1549
1550 /* set generator to P = 2*G, where G is the standard generator */
1551 if (!EC_POINT_dbl(NISTP, P, G, ctx))
1552 ABORT;
1553 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1554 ABORT;
1555 /* set the scalar to m=n/2, where n is the NIST test scalar */
1556 if (!BN_rshift(m, n, 1))
1557 ABORT;
1558
1559 /* test the non-standard generator */
1560 /* fixed point multiplication */
1561 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1562 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1563 ABORT;
1564 /* random point multiplication */
1565 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1566 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1567 ABORT;
1568
8ce4e7e6
MC
1569 /*
1570 * We have not performed precomputation so have_precompute mult should be
1571 * false
1572 */
1573 if (EC_GROUP_have_precompute_mult(NISTP))
1574 ABORT;
1575
0f113f3e
MC
1576 /* now repeat all tests with precomputation */
1577 if (!EC_GROUP_precompute_mult(NISTP, ctx))
1578 ABORT;
8ce4e7e6
MC
1579 if (!EC_GROUP_have_precompute_mult(NISTP))
1580 ABORT;
0f113f3e
MC
1581
1582 /* fixed point multiplication */
1583 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1584 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1585 ABORT;
1586 /* random point multiplication */
1587 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1588 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1589 ABORT;
1590
1591 /* reset generator */
1592 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1593 ABORT;
1594 /* fixed point multiplication */
1595 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1596 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1597 ABORT;
1598 /* random point multiplication */
1599 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1600 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1601 ABORT;
1602
1603 fprintf(stdout, "ok\n");
1604 group_order_tests(NISTP);
0f113f3e
MC
1605 EC_GROUP_free(NISTP);
1606 EC_POINT_free(G);
1607 EC_POINT_free(P);
1608 EC_POINT_free(Q);
1609 EC_POINT_free(Q_CHECK);
1610 BN_free(n);
1611 BN_free(m);
1612 BN_free(p);
1613 BN_free(a);
1614 BN_free(b);
1615 BN_free(x);
1616 BN_free(y);
1617 BN_free(order);
1618 BN_CTX_free(ctx);
1619}
3e00b4c9 1620
b597aab8 1621static void nistp_tests()
0f113f3e
MC
1622{
1623 unsigned i;
04daec86 1624
bdcb1a2c 1625 for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
0f113f3e
MC
1626 nistp_single_test(&nistp_tests_params[i]);
1627 }
1628}
1629# endif
7793f30e 1630
0f113f3e
MC
1631static const char rnd_seed[] =
1632 "string to make the random number generator think it has entropy";
7793f30e 1633
0f113f3e
MC
1634int main(int argc, char *argv[])
1635{
bbd86bf5 1636 char *p;
0f113f3e 1637
bbd86bf5
RS
1638 p = getenv("OPENSSL_DEBUG_MEMORY");
1639 if (p != NULL && strcmp(p, "on") == 0)
1640 CRYPTO_set_mem_debug(1);
0f113f3e 1641 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
0f113f3e
MC
1642
1643 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1644
1645 prime_field_tests();
1646 puts("");
1647# ifndef OPENSSL_NO_EC2M
1648 char2_field_tests();
1649# endif
1650# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1651 nistp_tests();
1652# endif
1653 /* test the internal curves */
1654 internal_curve_test();
1655
c2e27310 1656#ifndef OPENSSL_NO_CRYPTO_MDEBUG
541e9565
DSH
1657 if (CRYPTO_mem_leaks_fp(stderr) <= 0)
1658 return 1;
bbd86bf5 1659#endif
0f113f3e
MC
1660
1661 return 0;
1662}
bb62a8b0 1663#endif