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62763f68 1/* crypto/ec/ectest.c */
35b73a1f
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2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
62763f68
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5/* ====================================================================
6 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 *
12 * 1. Redistributions of source code must retain the above copyright
0f113f3e 13 * notice, this list of conditions and the following disclaimer.
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14 *
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
18 * distribution.
19 *
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24 *
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@openssl.org.
29 *
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
33 *
34 * 6. Redistributions of any form whatsoever must retain the following
35 * acknowledgment:
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38 *
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
52 *
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
56 *
57 */
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58/* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 *
0f113f3e 61 * Portions of the attached software ("Contribution") are developed by
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62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63 *
64 * The Contribution is licensed pursuant to the OpenSSL open source
65 * license provided above.
66 *
0f113f3e 67 * The elliptic curve binary polynomial software is originally written by
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68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
62763f68 71
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72#include <stdio.h>
73#include <stdlib.h>
0bf23d9b 74#ifdef FLAT_INC
0f113f3e 75# include "e_os.h"
0bf23d9b 76#else
0f113f3e 77# include "../e_os.h"
0bf23d9b 78#endif
413a4a04 79#include <string.h>
48fe4d62 80#include <time.h>
adfe54b7 81
bb62a8b0 82#ifdef OPENSSL_NO_EC
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83int main(int argc, char *argv[])
84{
85 puts("Elliptic curves are disabled.");
86 return 0;
87}
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88#else
89
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90# include <openssl/ec.h>
91# ifndef OPENSSL_NO_ENGINE
92# include <openssl/engine.h>
93# endif
94# include <openssl/err.h>
95# include <openssl/obj_mac.h>
96# include <openssl/objects.h>
97# include <openssl/rand.h>
98# include <openssl/bn.h>
99# include <openssl/opensslconf.h>
100
101# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058 102/* suppress "too big too optimize" warning */
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103# pragma warning(disable:4959)
104# endif
105
106# define ABORT do { \
107 fflush(stdout); \
108 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
109 ERR_print_errors_fp(stderr); \
110 EXIT(1); \
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111} while (0)
112
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113# define TIMING_BASE_PT 0
114# define TIMING_RAND_PT 1
115# define TIMING_SIMUL 2
652ae06b 116
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117/* test multiplication with group order, long and negative scalars */
118static void group_order_tests(EC_GROUP *group)
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119{
120 BIGNUM *n1, *n2, *order;
121 EC_POINT *P = EC_POINT_new(group);
122 EC_POINT *Q = EC_POINT_new(group);
123 BN_CTX *ctx = BN_CTX_new();
124 int i;
125
126 n1 = BN_new();
127 n2 = BN_new();
128 order = BN_new();
129 fprintf(stdout, "verify group order ...");
130 fflush(stdout);
131 if (!EC_GROUP_get_order(group, order, ctx))
132 ABORT;
133 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
134 ABORT;
135 if (!EC_POINT_is_at_infinity(group, Q))
136 ABORT;
137 fprintf(stdout, ".");
138 fflush(stdout);
139 if (!EC_GROUP_precompute_mult(group, ctx))
140 ABORT;
141 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
142 ABORT;
143 if (!EC_POINT_is_at_infinity(group, Q))
144 ABORT;
145 fprintf(stdout, " ok\n");
146 fprintf(stdout, "long/negative scalar tests ");
147 for (i = 1; i <= 2; i++) {
148 const BIGNUM *scalars[6];
149 const EC_POINT *points[6];
150
151 fprintf(stdout, i == 1 ?
152 "allowing precomputation ... " :
153 "without precomputation ... ");
154 if (!BN_set_word(n1, i))
155 ABORT;
156 /*
157 * If i == 1, P will be the predefined generator for which
158 * EC_GROUP_precompute_mult has set up precomputation.
159 */
160 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
161 ABORT;
162
163 if (!BN_one(n1))
164 ABORT;
165 /* n1 = 1 - order */
166 if (!BN_sub(n1, n1, order))
167 ABORT;
168 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
169 ABORT;
170 if (0 != EC_POINT_cmp(group, Q, P, ctx))
171 ABORT;
172
173 /* n2 = 1 + order */
174 if (!BN_add(n2, order, BN_value_one()))
175 ABORT;
176 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
177 ABORT;
178 if (0 != EC_POINT_cmp(group, Q, P, ctx))
179 ABORT;
180
181 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
182 if (!BN_mul(n2, n1, n2, ctx))
183 ABORT;
184 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
185 ABORT;
186 if (0 != EC_POINT_cmp(group, Q, P, ctx))
187 ABORT;
188
189 /* n2 = order^2 - 1 */
190 BN_set_negative(n2, 0);
191 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
192 ABORT;
193 /* Add P to verify the result. */
194 if (!EC_POINT_add(group, Q, Q, P, ctx))
195 ABORT;
196 if (!EC_POINT_is_at_infinity(group, Q))
197 ABORT;
198
199 /* Exercise EC_POINTs_mul, including corner cases. */
200 if (EC_POINT_is_at_infinity(group, P))
201 ABORT;
202 scalars[0] = n1;
203 points[0] = Q; /* => infinity */
204 scalars[1] = n2;
205 points[1] = P; /* => -P */
206 scalars[2] = n1;
207 points[2] = Q; /* => infinity */
208 scalars[3] = n2;
209 points[3] = Q; /* => infinity */
210 scalars[4] = n1;
211 points[4] = P; /* => P */
212 scalars[5] = n2;
213 points[5] = Q; /* => infinity */
214 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
215 ABORT;
216 if (!EC_POINT_is_at_infinity(group, P))
217 ABORT;
218 }
219 fprintf(stdout, "ok\n");
220
221 EC_POINT_free(P);
222 EC_POINT_free(Q);
223 BN_free(n1);
224 BN_free(n2);
225 BN_free(order);
226 BN_CTX_free(ctx);
227}
04daec86 228
c13d7c02 229static void prime_field_tests(void)
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230{
231 BN_CTX *ctx = NULL;
232 BIGNUM *p, *a, *b;
233 EC_GROUP *group;
234 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
235 NULL, *P_384 = NULL, *P_521 = NULL;
236 EC_POINT *P, *Q, *R;
237 BIGNUM *x, *y, *z;
238 unsigned char buf[100];
239 size_t i, len;
240 int k;
241
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242 ctx = BN_CTX_new();
243 if (!ctx)
244 ABORT;
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245
246 p = BN_new();
247 a = BN_new();
248 b = BN_new();
249 if (!p || !a || !b)
250 ABORT;
251
252 if (!BN_hex2bn(&p, "17"))
253 ABORT;
254 if (!BN_hex2bn(&a, "1"))
255 ABORT;
256 if (!BN_hex2bn(&b, "1"))
257 ABORT;
258
259 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
260 * EC_GROUP_new_curve_GFp so
261 * that the library gets to
262 * choose the EC_METHOD */
263 if (!group)
264 ABORT;
265
266 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
267 ABORT;
268
269 {
270 EC_GROUP *tmp;
271 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
272 if (!tmp)
273 ABORT;
274 if (!EC_GROUP_copy(tmp, group))
275 ABORT;
276 EC_GROUP_free(group);
277 group = tmp;
278 }
279
280 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
281 ABORT;
282
283 fprintf(stdout,
284 "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
285 BN_print_fp(stdout, p);
286 fprintf(stdout, ")\n a = 0x");
287 BN_print_fp(stdout, a);
288 fprintf(stdout, "\n b = 0x");
289 BN_print_fp(stdout, b);
290 fprintf(stdout, "\n");
291
292 P = EC_POINT_new(group);
293 Q = EC_POINT_new(group);
294 R = EC_POINT_new(group);
295 if (!P || !Q || !R)
296 ABORT;
297
298 if (!EC_POINT_set_to_infinity(group, P))
299 ABORT;
300 if (!EC_POINT_is_at_infinity(group, P))
301 ABORT;
302
303 buf[0] = 0;
304 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
305 ABORT;
306
307 if (!EC_POINT_add(group, P, P, Q, ctx))
308 ABORT;
309 if (!EC_POINT_is_at_infinity(group, P))
310 ABORT;
311
312 x = BN_new();
313 y = BN_new();
314 z = BN_new();
315 if (!x || !y || !z)
316 ABORT;
317
318 if (!BN_hex2bn(&x, "D"))
319 ABORT;
320 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
321 ABORT;
322 if (!EC_POINT_is_on_curve(group, Q, ctx)) {
323 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
324 ABORT;
325 fprintf(stderr, "Point is not on curve: x = 0x");
326 BN_print_fp(stderr, x);
327 fprintf(stderr, ", y = 0x");
328 BN_print_fp(stderr, y);
329 fprintf(stderr, "\n");
330 ABORT;
331 }
332
333 fprintf(stdout, "A cyclic subgroup:\n");
334 k = 100;
335 do {
336 if (k-- == 0)
337 ABORT;
338
339 if (EC_POINT_is_at_infinity(group, P))
340 fprintf(stdout, " point at infinity\n");
341 else {
342 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
343 ABORT;
344
345 fprintf(stdout, " x = 0x");
346 BN_print_fp(stdout, x);
347 fprintf(stdout, ", y = 0x");
348 BN_print_fp(stdout, y);
349 fprintf(stdout, "\n");
350 }
351
352 if (!EC_POINT_copy(R, P))
353 ABORT;
354 if (!EC_POINT_add(group, P, P, Q, ctx))
355 ABORT;
356
0f113f3e
MC
357 }
358 while (!EC_POINT_is_at_infinity(group, P));
359
360 if (!EC_POINT_add(group, P, Q, R, ctx))
361 ABORT;
362 if (!EC_POINT_is_at_infinity(group, P))
363 ABORT;
364
365 len =
366 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
367 sizeof buf, ctx);
368 if (len == 0)
369 ABORT;
370 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
371 ABORT;
372 if (0 != EC_POINT_cmp(group, P, Q, ctx))
373 ABORT;
374 fprintf(stdout, "Generator as octet string, compressed form:\n ");
375 for (i = 0; i < len; i++)
376 fprintf(stdout, "%02X", buf[i]);
377
378 len =
379 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
380 sizeof buf, ctx);
381 if (len == 0)
382 ABORT;
383 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
384 ABORT;
385 if (0 != EC_POINT_cmp(group, P, Q, ctx))
386 ABORT;
387 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
388 for (i = 0; i < len; i++)
389 fprintf(stdout, "%02X", buf[i]);
390
391 len =
392 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
393 ctx);
394 if (len == 0)
395 ABORT;
396 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
397 ABORT;
398 if (0 != EC_POINT_cmp(group, P, Q, ctx))
399 ABORT;
400 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
401 for (i = 0; i < len; i++)
402 fprintf(stdout, "%02X", buf[i]);
403
404 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
405 ABORT;
406 fprintf(stdout,
407 "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
408 BN_print_fp(stdout, x);
409 fprintf(stdout, ", Y = 0x");
410 BN_print_fp(stdout, y);
411 fprintf(stdout, ", Z = 0x");
412 BN_print_fp(stdout, z);
413 fprintf(stdout, "\n");
414
415 if (!EC_POINT_invert(group, P, ctx))
416 ABORT;
417 if (0 != EC_POINT_cmp(group, P, R, ctx))
418 ABORT;
419
420 /*
421 * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
422 * 2000) -- not a NIST curve, but commonly used
423 */
424
425 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
426 ABORT;
427 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
428 ABORT;
429 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
430 ABORT;
431 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
432 ABORT;
433 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
434 ABORT;
435
436 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
437 ABORT;
438 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
439 ABORT;
440 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
441 ABORT;
442 if (!EC_POINT_is_on_curve(group, P, ctx))
443 ABORT;
444 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
445 ABORT;
446 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
447 ABORT;
448
449 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
450 ABORT;
451 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
452 BN_print_fp(stdout, x);
453 fprintf(stdout, "\n y = 0x");
454 BN_print_fp(stdout, y);
455 fprintf(stdout, "\n");
456 /* G_y value taken from the standard: */
457 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
458 ABORT;
459 if (0 != BN_cmp(y, z))
460 ABORT;
461
462 fprintf(stdout, "verify degree ...");
463 if (EC_GROUP_get_degree(group) != 160)
464 ABORT;
465 fprintf(stdout, " ok\n");
466
467 group_order_tests(group);
468
469 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))))
470 ABORT;
471 if (!EC_GROUP_copy(P_160, group))
472 ABORT;
473
474 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
475
476 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
477 ABORT;
478 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
479 ABORT;
480 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
481 ABORT;
482 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
483 ABORT;
484 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
485 ABORT;
486
487 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
488 ABORT;
489 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
490 ABORT;
491 if (!EC_POINT_is_on_curve(group, P, ctx))
492 ABORT;
493 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
494 ABORT;
495 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
496 ABORT;
497
498 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
499 ABORT;
500 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
501 BN_print_fp(stdout, x);
502 fprintf(stdout, "\n y = 0x");
503 BN_print_fp(stdout, y);
504 fprintf(stdout, "\n");
505 /* G_y value taken from the standard: */
506 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
507 ABORT;
508 if (0 != BN_cmp(y, z))
509 ABORT;
510
511 fprintf(stdout, "verify degree ...");
512 if (EC_GROUP_get_degree(group) != 192)
513 ABORT;
514 fprintf(stdout, " ok\n");
515
516 group_order_tests(group);
517
518 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))))
519 ABORT;
520 if (!EC_GROUP_copy(P_192, group))
521 ABORT;
522
523 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
524
525 if (!BN_hex2bn
526 (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
527 ABORT;
528 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
529 ABORT;
530 if (!BN_hex2bn
531 (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
532 ABORT;
533 if (!BN_hex2bn
534 (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
535 ABORT;
536 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
537 ABORT;
538
539 if (!BN_hex2bn
540 (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
541 ABORT;
542 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
543 ABORT;
544 if (!EC_POINT_is_on_curve(group, P, ctx))
545 ABORT;
546 if (!BN_hex2bn
547 (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
548 ABORT;
549 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
550 ABORT;
551
552 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
553 ABORT;
554 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
555 BN_print_fp(stdout, x);
556 fprintf(stdout, "\n y = 0x");
557 BN_print_fp(stdout, y);
558 fprintf(stdout, "\n");
559 /* G_y value taken from the standard: */
560 if (!BN_hex2bn
561 (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
562 ABORT;
563 if (0 != BN_cmp(y, z))
564 ABORT;
565
566 fprintf(stdout, "verify degree ...");
567 if (EC_GROUP_get_degree(group) != 224)
568 ABORT;
569 fprintf(stdout, " ok\n");
570
571 group_order_tests(group);
572
573 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))))
574 ABORT;
575 if (!EC_GROUP_copy(P_224, group))
576 ABORT;
577
578 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
579
580 if (!BN_hex2bn
581 (&p,
582 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
583 ABORT;
584 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
585 ABORT;
586 if (!BN_hex2bn
587 (&a,
588 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
589 ABORT;
590 if (!BN_hex2bn
591 (&b,
592 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
593 ABORT;
594 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
595 ABORT;
596
597 if (!BN_hex2bn
598 (&x,
599 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
600 ABORT;
601 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
602 ABORT;
603 if (!EC_POINT_is_on_curve(group, P, ctx))
604 ABORT;
605 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
606 "84F3B9CAC2FC632551"))
607 ABORT;
608 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
609 ABORT;
610
611 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
612 ABORT;
613 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
614 BN_print_fp(stdout, x);
615 fprintf(stdout, "\n y = 0x");
616 BN_print_fp(stdout, y);
617 fprintf(stdout, "\n");
618 /* G_y value taken from the standard: */
619 if (!BN_hex2bn
620 (&z,
621 "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
622 ABORT;
623 if (0 != BN_cmp(y, z))
624 ABORT;
625
626 fprintf(stdout, "verify degree ...");
627 if (EC_GROUP_get_degree(group) != 256)
628 ABORT;
629 fprintf(stdout, " ok\n");
630
631 group_order_tests(group);
632
633 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))))
634 ABORT;
635 if (!EC_GROUP_copy(P_256, group))
636 ABORT;
637
638 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
639
640 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
641 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
642 ABORT;
643 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
644 ABORT;
645 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
646 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
647 ABORT;
648 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
649 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
650 ABORT;
651 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
652 ABORT;
653
654 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
655 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
656 ABORT;
657 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
658 ABORT;
659 if (!EC_POINT_is_on_curve(group, P, ctx))
660 ABORT;
661 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
662 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
663 ABORT;
664 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
665 ABORT;
666
667 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
668 ABORT;
669 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
670 BN_print_fp(stdout, x);
671 fprintf(stdout, "\n y = 0x");
672 BN_print_fp(stdout, y);
673 fprintf(stdout, "\n");
674 /* G_y value taken from the standard: */
675 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
676 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
677 ABORT;
678 if (0 != BN_cmp(y, z))
679 ABORT;
680
681 fprintf(stdout, "verify degree ...");
682 if (EC_GROUP_get_degree(group) != 384)
683 ABORT;
684 fprintf(stdout, " ok\n");
685
686 group_order_tests(group);
687
688 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))))
689 ABORT;
690 if (!EC_GROUP_copy(P_384, group))
691 ABORT;
692
693 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
694
695 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
696 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
697 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
698 ABORT;
699 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
700 ABORT;
701 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
702 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
703 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
704 ABORT;
705 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
706 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
707 "DF883D2C34F1EF451FD46B503F00"))
708 ABORT;
709 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
710 ABORT;
711
712 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
713 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
714 "3C1856A429BF97E7E31C2E5BD66"))
715 ABORT;
716 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
717 ABORT;
718 if (!EC_POINT_is_on_curve(group, P, ctx))
719 ABORT;
720 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
721 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
722 "C9B8899C47AEBB6FB71E91386409"))
723 ABORT;
724 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
725 ABORT;
726
727 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
728 ABORT;
729 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
730 BN_print_fp(stdout, x);
731 fprintf(stdout, "\n y = 0x");
732 BN_print_fp(stdout, y);
733 fprintf(stdout, "\n");
734 /* G_y value taken from the standard: */
735 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
736 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
737 "7086A272C24088BE94769FD16650"))
738 ABORT;
739 if (0 != BN_cmp(y, z))
740 ABORT;
741
742 fprintf(stdout, "verify degree ...");
743 if (EC_GROUP_get_degree(group) != 521)
744 ABORT;
745 fprintf(stdout, " ok\n");
746
747 group_order_tests(group);
748
749 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))))
750 ABORT;
751 if (!EC_GROUP_copy(P_521, group))
752 ABORT;
753
754 /* more tests using the last curve */
755
756 if (!EC_POINT_copy(Q, P))
757 ABORT;
758 if (EC_POINT_is_at_infinity(group, Q))
759 ABORT;
760 if (!EC_POINT_dbl(group, P, P, ctx))
761 ABORT;
762 if (!EC_POINT_is_on_curve(group, P, ctx))
763 ABORT;
764 if (!EC_POINT_invert(group, Q, ctx))
765 ABORT; /* P = -2Q */
766
767 if (!EC_POINT_add(group, R, P, Q, ctx))
768 ABORT;
769 if (!EC_POINT_add(group, R, R, Q, ctx))
770 ABORT;
771 if (!EC_POINT_is_at_infinity(group, R))
772 ABORT; /* R = P + 2Q */
773
774 {
775 const EC_POINT *points[4];
776 const BIGNUM *scalars[4];
777 BIGNUM *scalar3;
778
779 if (EC_POINT_is_at_infinity(group, Q))
780 ABORT;
781 points[0] = Q;
782 points[1] = Q;
783 points[2] = Q;
784 points[3] = Q;
785
786 if (!EC_GROUP_get_order(group, z, ctx))
787 ABORT;
788 if (!BN_add(y, z, BN_value_one()))
789 ABORT;
790 if (BN_is_odd(y))
791 ABORT;
792 if (!BN_rshift1(y, y))
793 ABORT;
794 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
795 scalars[1] = y;
796
797 fprintf(stdout, "combined multiplication ...");
798 fflush(stdout);
799
800 /* z is still the group order */
801 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
802 ABORT;
803 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
804 ABORT;
805 if (0 != EC_POINT_cmp(group, P, R, ctx))
806 ABORT;
807 if (0 != EC_POINT_cmp(group, R, Q, ctx))
808 ABORT;
809
810 fprintf(stdout, ".");
811 fflush(stdout);
812
813 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
814 ABORT;
815 if (!BN_add(z, z, y))
816 ABORT;
817 BN_set_negative(z, 1);
818 scalars[0] = y;
819 scalars[1] = z; /* z = -(order + y) */
820
821 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
822 ABORT;
823 if (!EC_POINT_is_at_infinity(group, P))
824 ABORT;
825
826 fprintf(stdout, ".");
827 fflush(stdout);
828
829 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
830 ABORT;
831 if (!BN_add(z, x, y))
832 ABORT;
833 BN_set_negative(z, 1);
834 scalars[0] = x;
835 scalars[1] = y;
836 scalars[2] = z; /* z = -(x+y) */
837
838 scalar3 = BN_new();
839 if (!scalar3)
840 ABORT;
841 BN_zero(scalar3);
842 scalars[3] = scalar3;
843
844 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
845 ABORT;
846 if (!EC_POINT_is_at_infinity(group, P))
847 ABORT;
848
849 fprintf(stdout, " ok\n\n");
850
851 BN_free(scalar3);
852 }
853
0f113f3e
MC
854 if (ctx)
855 BN_CTX_free(ctx);
856 BN_free(p);
857 BN_free(a);
858 BN_free(b);
859 EC_GROUP_free(group);
860 EC_POINT_free(P);
861 EC_POINT_free(Q);
862 EC_POINT_free(R);
863 BN_free(x);
864 BN_free(y);
865 BN_free(z);
866
867 if (P_160)
868 EC_GROUP_free(P_160);
869 if (P_192)
870 EC_GROUP_free(P_192);
871 if (P_224)
872 EC_GROUP_free(P_224);
873 if (P_256)
874 EC_GROUP_free(P_256);
875 if (P_384)
876 EC_GROUP_free(P_384);
877 if (P_521)
878 EC_GROUP_free(P_521);
879
880}
7793f30e
BM
881
882/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
883# ifdef OPENSSL_EC_BIN_PT_COMP
884# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
885 if (!BN_hex2bn(&x, _x)) ABORT; \
886 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
887 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
888 if (!BN_hex2bn(&z, _order)) ABORT; \
889 if (!BN_hex2bn(&cof, _cof)) ABORT; \
890 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
891 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
892 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
893 BN_print_fp(stdout, x); \
894 fprintf(stdout, "\n y = 0x"); \
895 BN_print_fp(stdout, y); \
896 fprintf(stdout, "\n"); \
897 /* G_y value taken from the standard: */ \
898 if (!BN_hex2bn(&z, _y)) ABORT; \
899 if (0 != BN_cmp(y, z)) ABORT;
900# else
901# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
902 if (!BN_hex2bn(&x, _x)) ABORT; \
903 if (!BN_hex2bn(&y, _y)) ABORT; \
904 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
905 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
906 if (!BN_hex2bn(&z, _order)) ABORT; \
907 if (!BN_hex2bn(&cof, _cof)) ABORT; \
908 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
909 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
910 BN_print_fp(stdout, x); \
911 fprintf(stdout, "\n y = 0x"); \
912 BN_print_fp(stdout, y); \
913 fprintf(stdout, "\n");
914# endif
915
916# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
917 if (!BN_hex2bn(&p, _p)) ABORT; \
918 if (!BN_hex2bn(&a, _a)) ABORT; \
919 if (!BN_hex2bn(&b, _b)) ABORT; \
920 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
921 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
922 fprintf(stdout, "verify degree ..."); \
923 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
924 fprintf(stdout, " ok\n"); \
925 group_order_tests(group); \
926 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
927 if (!EC_GROUP_copy(_variable, group)) ABORT; \
928
929# ifndef OPENSSL_NO_EC2M
7793f30e 930
c13d7c02 931static void char2_field_tests(void)
0f113f3e
MC
932{
933 BN_CTX *ctx = NULL;
934 BIGNUM *p, *a, *b;
935 EC_GROUP *group;
936 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
937 NULL, *C2_K571 = NULL;
938 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
939 NULL, *C2_B571 = NULL;
940 EC_POINT *P, *Q, *R;
941 BIGNUM *x, *y, *z, *cof;
942 unsigned char buf[100];
943 size_t i, len;
944 int k;
945
0f113f3e
MC
946 ctx = BN_CTX_new();
947 if (!ctx)
948 ABORT;
0f113f3e
MC
949
950 p = BN_new();
951 a = BN_new();
952 b = BN_new();
953 if (!p || !a || !b)
954 ABORT;
955
956 if (!BN_hex2bn(&p, "13"))
957 ABORT;
958 if (!BN_hex2bn(&a, "3"))
959 ABORT;
960 if (!BN_hex2bn(&b, "1"))
961 ABORT;
962
963 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
964 * EC_GROUP_new_curve_GF2m
965 * so that the library gets
966 * to choose the EC_METHOD */
967 if (!group)
968 ABORT;
969 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
970 ABORT;
971
972 {
973 EC_GROUP *tmp;
974 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
975 if (!tmp)
976 ABORT;
977 if (!EC_GROUP_copy(tmp, group))
978 ABORT;
979 EC_GROUP_free(group);
980 group = tmp;
981 }
982
983 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
984 ABORT;
985
986 fprintf(stdout,
987 "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
988 BN_print_fp(stdout, p);
989 fprintf(stdout, ")\n a = 0x");
990 BN_print_fp(stdout, a);
991 fprintf(stdout, "\n b = 0x");
992 BN_print_fp(stdout, b);
993 fprintf(stdout, "\n(0x... means binary polynomial)\n");
994
995 P = EC_POINT_new(group);
996 Q = EC_POINT_new(group);
997 R = EC_POINT_new(group);
998 if (!P || !Q || !R)
999 ABORT;
1000
1001 if (!EC_POINT_set_to_infinity(group, P))
1002 ABORT;
1003 if (!EC_POINT_is_at_infinity(group, P))
1004 ABORT;
1005
1006 buf[0] = 0;
1007 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1008 ABORT;
1009
1010 if (!EC_POINT_add(group, P, P, Q, ctx))
1011 ABORT;
1012 if (!EC_POINT_is_at_infinity(group, P))
1013 ABORT;
1014
1015 x = BN_new();
1016 y = BN_new();
1017 z = BN_new();
1018 cof = BN_new();
1019 if (!x || !y || !z || !cof)
1020 ABORT;
1021
1022 if (!BN_hex2bn(&x, "6"))
1023 ABORT;
7793f30e 1024/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1025# ifdef OPENSSL_EC_BIN_PT_COMP
1026 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1027 ABORT;
1028# else
1029 if (!BN_hex2bn(&y, "8"))
1030 ABORT;
1031 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1032 ABORT;
1033# endif
1034 if (!EC_POINT_is_on_curve(group, Q, ctx)) {
7793f30e 1035/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1036# ifdef OPENSSL_EC_BIN_PT_COMP
1037 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1038 ABORT;
1039# endif
1040 fprintf(stderr, "Point is not on curve: x = 0x");
1041 BN_print_fp(stderr, x);
1042 fprintf(stderr, ", y = 0x");
1043 BN_print_fp(stderr, y);
1044 fprintf(stderr, "\n");
1045 ABORT;
1046 }
1047
1048 fprintf(stdout, "A cyclic subgroup:\n");
1049 k = 100;
1050 do {
1051 if (k-- == 0)
1052 ABORT;
1053
1054 if (EC_POINT_is_at_infinity(group, P))
1055 fprintf(stdout, " point at infinity\n");
1056 else {
1057 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1058 ABORT;
1059
1060 fprintf(stdout, " x = 0x");
1061 BN_print_fp(stdout, x);
1062 fprintf(stdout, ", y = 0x");
1063 BN_print_fp(stdout, y);
1064 fprintf(stdout, "\n");
1065 }
1066
1067 if (!EC_POINT_copy(R, P))
1068 ABORT;
1069 if (!EC_POINT_add(group, P, P, Q, ctx))
1070 ABORT;
1071 }
1072 while (!EC_POINT_is_at_infinity(group, P));
1073
1074 if (!EC_POINT_add(group, P, Q, R, ctx))
1075 ABORT;
1076 if (!EC_POINT_is_at_infinity(group, P))
1077 ABORT;
7793f30e
BM
1078
1079/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1080# ifdef OPENSSL_EC_BIN_PT_COMP
1081 len =
1082 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1083 sizeof buf, ctx);
1084 if (len == 0)
1085 ABORT;
1086 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1087 ABORT;
1088 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1089 ABORT;
1090 fprintf(stdout, "Generator as octet string, compressed form:\n ");
1091 for (i = 0; i < len; i++)
1092 fprintf(stdout, "%02X", buf[i]);
1093# endif
1094
1095 len =
1096 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1097 sizeof buf, ctx);
1098 if (len == 0)
1099 ABORT;
1100 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1101 ABORT;
1102 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1103 ABORT;
1104 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
1105 for (i = 0; i < len; i++)
1106 fprintf(stdout, "%02X", buf[i]);
7793f30e 1107
0f113f3e
MC
1108/* Change test based on whether binary point compression is enabled or not. */
1109# ifdef OPENSSL_EC_BIN_PT_COMP
1110 len =
1111 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1112 ctx);
1113 if (len == 0)
1114 ABORT;
1115 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1116 ABORT;
1117 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1118 ABORT;
1119 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
1120 for (i = 0; i < len; i++)
1121 fprintf(stdout, "%02X", buf[i]);
1122# endif
1123
1124 fprintf(stdout, "\n");
1125
1126 if (!EC_POINT_invert(group, P, ctx))
1127 ABORT;
1128 if (0 != EC_POINT_cmp(group, P, R, ctx))
1129 ABORT;
1130
1131 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1132 CHAR2_CURVE_TEST
1133 ("NIST curve K-163",
1134 "0800000000000000000000000000000000000000C9",
1135 "1",
1136 "1",
1137 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1138 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1139 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1140
1141 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1142 CHAR2_CURVE_TEST
1143 ("NIST curve B-163",
1144 "0800000000000000000000000000000000000000C9",
1145 "1",
1146 "020A601907B8C953CA1481EB10512F78744A3205FD",
1147 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1148 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1149 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1150
1151 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1152 CHAR2_CURVE_TEST
1153 ("NIST curve K-233",
1154 "020000000000000000000000000000000000000004000000000000000001",
1155 "0",
1156 "1",
1157 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1158 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1159 0,
1160 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1161 "4", 233, C2_K233);
1162
1163 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1164 CHAR2_CURVE_TEST
1165 ("NIST curve B-233",
1166 "020000000000000000000000000000000000000004000000000000000001",
1167 "000000000000000000000000000000000000000000000000000000000001",
1168 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1169 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1170 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1171 1,
1172 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1173 "2", 233, C2_B233);
1174
1175 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1176 CHAR2_CURVE_TEST
1177 ("NIST curve K-283",
1178 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1179 "0",
1180 "1",
1181 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1182 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1183 0,
1184 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1185 "4", 283, C2_K283);
1186
1187 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1188 CHAR2_CURVE_TEST
1189 ("NIST curve B-283",
1190 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1191 "000000000000000000000000000000000000000000000000000000000000000000000001",
1192 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1193 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1194 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1195 1,
1196 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1197 "2", 283, C2_B283);
1198
1199 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1200 CHAR2_CURVE_TEST
1201 ("NIST curve K-409",
1202 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1203 "0",
1204 "1",
1205 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1206 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1207 1,
1208 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1209 "4", 409, C2_K409);
1210
1211 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1212 CHAR2_CURVE_TEST
1213 ("NIST curve B-409",
1214 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1215 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1216 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1217 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1218 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1219 1,
1220 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1221 "2", 409, C2_B409);
1222
1223 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1224 CHAR2_CURVE_TEST
1225 ("NIST curve K-571",
1226 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1227 "0",
1228 "1",
1229 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1230 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1231 0,
1232 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1233 "4", 571, C2_K571);
1234
1235 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1236 CHAR2_CURVE_TEST
1237 ("NIST curve B-571",
1238 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1239 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1240 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1241 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1242 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1243 1,
1244 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1245 "2", 571, C2_B571);
1246
1247 /* more tests using the last curve */
1248
1249 if (!EC_POINT_copy(Q, P))
1250 ABORT;
1251 if (EC_POINT_is_at_infinity(group, Q))
1252 ABORT;
1253 if (!EC_POINT_dbl(group, P, P, ctx))
1254 ABORT;
1255 if (!EC_POINT_is_on_curve(group, P, ctx))
1256 ABORT;
1257 if (!EC_POINT_invert(group, Q, ctx))
1258 ABORT; /* P = -2Q */
1259
1260 if (!EC_POINT_add(group, R, P, Q, ctx))
1261 ABORT;
1262 if (!EC_POINT_add(group, R, R, Q, ctx))
1263 ABORT;
1264 if (!EC_POINT_is_at_infinity(group, R))
1265 ABORT; /* R = P + 2Q */
1266
1267 {
1268 const EC_POINT *points[3];
1269 const BIGNUM *scalars[3];
1270
1271 if (EC_POINT_is_at_infinity(group, Q))
1272 ABORT;
1273 points[0] = Q;
1274 points[1] = Q;
1275 points[2] = Q;
1276
1277 if (!BN_add(y, z, BN_value_one()))
1278 ABORT;
1279 if (BN_is_odd(y))
1280 ABORT;
1281 if (!BN_rshift1(y, y))
1282 ABORT;
1283 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1284 scalars[1] = y;
1285
1286 fprintf(stdout, "combined multiplication ...");
1287 fflush(stdout);
1288
1289 /* z is still the group order */
1290 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1291 ABORT;
1292 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1293 ABORT;
1294 if (0 != EC_POINT_cmp(group, P, R, ctx))
1295 ABORT;
1296 if (0 != EC_POINT_cmp(group, R, Q, ctx))
1297 ABORT;
1298
1299 fprintf(stdout, ".");
1300 fflush(stdout);
1301
1302 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1303 ABORT;
1304 if (!BN_add(z, z, y))
1305 ABORT;
1306 BN_set_negative(z, 1);
1307 scalars[0] = y;
1308 scalars[1] = z; /* z = -(order + y) */
1309
1310 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1311 ABORT;
1312 if (!EC_POINT_is_at_infinity(group, P))
1313 ABORT;
1314
1315 fprintf(stdout, ".");
1316 fflush(stdout);
1317
1318 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1319 ABORT;
1320 if (!BN_add(z, x, y))
1321 ABORT;
1322 BN_set_negative(z, 1);
1323 scalars[0] = x;
1324 scalars[1] = y;
1325 scalars[2] = z; /* z = -(x+y) */
1326
1327 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1328 ABORT;
1329 if (!EC_POINT_is_at_infinity(group, P))
1330 ABORT;
1331
1332 fprintf(stdout, " ok\n\n");
1333 }
1334
0f113f3e
MC
1335 if (ctx)
1336 BN_CTX_free(ctx);
1337 BN_free(p);
1338 BN_free(a);
1339 BN_free(b);
1340 EC_GROUP_free(group);
1341 EC_POINT_free(P);
1342 EC_POINT_free(Q);
1343 EC_POINT_free(R);
1344 BN_free(x);
1345 BN_free(y);
1346 BN_free(z);
1347 BN_free(cof);
1348
1349 if (C2_K163)
1350 EC_GROUP_free(C2_K163);
1351 if (C2_B163)
1352 EC_GROUP_free(C2_B163);
1353 if (C2_K233)
1354 EC_GROUP_free(C2_K233);
1355 if (C2_B233)
1356 EC_GROUP_free(C2_B233);
1357 if (C2_K283)
1358 EC_GROUP_free(C2_K283);
1359 if (C2_B283)
1360 EC_GROUP_free(C2_B283);
1361 if (C2_K409)
1362 EC_GROUP_free(C2_K409);
1363 if (C2_B409)
1364 EC_GROUP_free(C2_B409);
1365 if (C2_K571)
1366 EC_GROUP_free(C2_K571);
1367 if (C2_B571)
1368 EC_GROUP_free(C2_B571);
1369
1370}
1371# endif
7793f30e 1372
5df2a249 1373static void internal_curve_test(void)
0f113f3e
MC
1374{
1375 EC_builtin_curve *curves = NULL;
1376 size_t crv_len = 0, n = 0;
1377 int ok = 1;
1378
1379 crv_len = EC_get_builtin_curves(NULL, 0);
1380
1381 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1382
1383 if (curves == NULL)
1384 return;
1385
1386 if (!EC_get_builtin_curves(curves, crv_len)) {
1387 OPENSSL_free(curves);
1388 return;
1389 }
1390
1391 fprintf(stdout, "testing internal curves: ");
1392
1393 for (n = 0; n < crv_len; n++) {
1394 EC_GROUP *group = NULL;
1395 int nid = curves[n].nid;
1396 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1397 ok = 0;
1398 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1399 " curve %s\n", OBJ_nid2sn(nid));
1400 /* try next curve */
1401 continue;
1402 }
1403 if (!EC_GROUP_check(group, NULL)) {
1404 ok = 0;
1405 fprintf(stdout, "\nEC_GROUP_check() failed with"
1406 " curve %s\n", OBJ_nid2sn(nid));
1407 EC_GROUP_free(group);
1408 /* try the next curve */
1409 continue;
1410 }
1411 fprintf(stdout, ".");
1412 fflush(stdout);
1413 EC_GROUP_free(group);
1414 }
1415 if (ok)
1416 fprintf(stdout, " ok\n\n");
1417 else {
1418 fprintf(stdout, " failed\n\n");
1419 ABORT;
1420 }
1421 OPENSSL_free(curves);
1422 return;
1423}
1424
1425# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1426/*
1427 * nistp_test_params contains magic numbers for testing our optimized
1428 * implementations of several NIST curves with characteristic > 3.
1429 */
1430struct nistp_test_params {
1431 const EC_METHOD *(*meth) ();
1432 int degree;
1433 /*
1434 * Qx, Qy and D are taken from
1435 * http://csrcdocut.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1436 * Otherwise, values are standard curve parameters from FIPS 180-3
1437 */
1438 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1439};
1440
1441static const struct nistp_test_params nistp_tests_params[] = {
1442 {
1443 /* P-224 */
1444 EC_GFp_nistp224_method,
1445 224,
1446 /* p */
1447 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1448 /* a */
1449 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1450 /* b */
1451 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1452 /* Qx */
1453 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1454 /* Qy */
1455 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1456 /* Gx */
1457 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1458 /* Gy */
1459 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1460 /* order */
1461 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1462 /* d */
1463 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1464 },
1465 {
1466 /* P-256 */
1467 EC_GFp_nistp256_method,
1468 256,
1469 /* p */
1470 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1471 /* a */
1472 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1473 /* b */
1474 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1475 /* Qx */
1476 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1477 /* Qy */
1478 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1479 /* Gx */
1480 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1481 /* Gy */
1482 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1483 /* order */
1484 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1485 /* d */
1486 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1487 },
1488 {
1489 /* P-521 */
1490 EC_GFp_nistp521_method,
1491 521,
1492 /* p */
1493 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1494 /* a */
1495 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1496 /* b */
1497 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1498 /* Qx */
1499 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1500 /* Qy */
1501 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1502 /* Gx */
1503 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1504 /* Gy */
1505 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1506 /* order */
1507 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1508 /* d */
1509 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1510 },
1511};
3e00b4c9 1512
b597aab8 1513static void nistp_single_test(const struct nistp_test_params *test)
0f113f3e
MC
1514{
1515 BN_CTX *ctx;
1516 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1517 EC_GROUP *NISTP;
1518 EC_POINT *G, *P, *Q, *Q_CHECK;
1519
1520 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1521 test->degree);
1522 ctx = BN_CTX_new();
1523 p = BN_new();
1524 a = BN_new();
1525 b = BN_new();
1526 x = BN_new();
1527 y = BN_new();
1528 m = BN_new();
1529 n = BN_new();
1530 order = BN_new();
1531
1532 NISTP = EC_GROUP_new(test->meth());
1533 if (!NISTP)
1534 ABORT;
1535 if (!BN_hex2bn(&p, test->p))
1536 ABORT;
1537 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1538 ABORT;
1539 if (!BN_hex2bn(&a, test->a))
1540 ABORT;
1541 if (!BN_hex2bn(&b, test->b))
1542 ABORT;
1543 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1544 ABORT;
1545 G = EC_POINT_new(NISTP);
1546 P = EC_POINT_new(NISTP);
1547 Q = EC_POINT_new(NISTP);
1548 Q_CHECK = EC_POINT_new(NISTP);
1549 if (!BN_hex2bn(&x, test->Qx))
1550 ABORT;
1551 if (!BN_hex2bn(&y, test->Qy))
1552 ABORT;
1553 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1554 ABORT;
1555 if (!BN_hex2bn(&x, test->Gx))
1556 ABORT;
1557 if (!BN_hex2bn(&y, test->Gy))
1558 ABORT;
1559 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1560 ABORT;
1561 if (!BN_hex2bn(&order, test->order))
1562 ABORT;
1563 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1564 ABORT;
1565
1566 fprintf(stdout, "verify degree ... ");
1567 if (EC_GROUP_get_degree(NISTP) != test->degree)
1568 ABORT;
1569 fprintf(stdout, "ok\n");
1570
1571 fprintf(stdout, "NIST test vectors ... ");
1572 if (!BN_hex2bn(&n, test->d))
1573 ABORT;
1574 /* fixed point multiplication */
1575 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1576 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1577 ABORT;
1578 /* random point multiplication */
1579 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1580 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1581 ABORT;
1582
1583 /* set generator to P = 2*G, where G is the standard generator */
1584 if (!EC_POINT_dbl(NISTP, P, G, ctx))
1585 ABORT;
1586 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1587 ABORT;
1588 /* set the scalar to m=n/2, where n is the NIST test scalar */
1589 if (!BN_rshift(m, n, 1))
1590 ABORT;
1591
1592 /* test the non-standard generator */
1593 /* fixed point multiplication */
1594 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1595 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1596 ABORT;
1597 /* random point multiplication */
1598 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1599 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1600 ABORT;
1601
1602 /* now repeat all tests with precomputation */
1603 if (!EC_GROUP_precompute_mult(NISTP, ctx))
1604 ABORT;
1605
1606 /* fixed point multiplication */
1607 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1608 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1609 ABORT;
1610 /* random point multiplication */
1611 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1612 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1613 ABORT;
1614
1615 /* reset generator */
1616 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1617 ABORT;
1618 /* fixed point multiplication */
1619 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1620 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1621 ABORT;
1622 /* random point multiplication */
1623 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1624 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1625 ABORT;
1626
1627 fprintf(stdout, "ok\n");
1628 group_order_tests(NISTP);
0f113f3e
MC
1629 EC_GROUP_free(NISTP);
1630 EC_POINT_free(G);
1631 EC_POINT_free(P);
1632 EC_POINT_free(Q);
1633 EC_POINT_free(Q_CHECK);
1634 BN_free(n);
1635 BN_free(m);
1636 BN_free(p);
1637 BN_free(a);
1638 BN_free(b);
1639 BN_free(x);
1640 BN_free(y);
1641 BN_free(order);
1642 BN_CTX_free(ctx);
1643}
3e00b4c9 1644
b597aab8 1645static void nistp_tests()
0f113f3e
MC
1646{
1647 unsigned i;
04daec86 1648
0f113f3e
MC
1649 for (i = 0;
1650 i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params);
1651 i++) {
1652 nistp_single_test(&nistp_tests_params[i]);
1653 }
1654}
1655# endif
7793f30e 1656
0f113f3e
MC
1657static const char rnd_seed[] =
1658 "string to make the random number generator think it has entropy";
7793f30e 1659
0f113f3e
MC
1660int main(int argc, char *argv[])
1661{
1662
1663 /* enable memory leak checking unless explicitly disabled */
1664 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL)
1665 && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) {
1666 CRYPTO_malloc_debug_init();
1667 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1668 } else {
1669 /* OPENSSL_DEBUG_MEMORY=off */
1670 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1671 }
1672 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1673 ERR_load_crypto_strings();
1674
1675 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1676
1677 prime_field_tests();
1678 puts("");
1679# ifndef OPENSSL_NO_EC2M
1680 char2_field_tests();
1681# endif
1682# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1683 nistp_tests();
1684# endif
1685 /* test the internal curves */
1686 internal_curve_test();
1687
1688# ifndef OPENSSL_NO_ENGINE
1689 ENGINE_cleanup();
1690# endif
1691 CRYPTO_cleanup_all_ex_data();
1692 ERR_free_strings();
1693 ERR_remove_thread_state(NULL);
1694 CRYPTO_mem_leaks_fp(stderr);
1695
1696 return 0;
1697}
bb62a8b0 1698#endif