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ec/asm/ecp_nistz256-*.pl: get corner case logic right.
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CommitLineData
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1/*
2 * Originally written by Bodo Moeller for the OpenSSL project.
3 */
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4/* ====================================================================
5 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
6 *
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
9 * are met:
10 *
11 * 1. Redistributions of source code must retain the above copyright
0f113f3e 12 * notice, this list of conditions and the following disclaimer.
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13 *
14 * 2. Redistributions in binary form must reproduce the above copyright
15 * notice, this list of conditions and the following disclaimer in
16 * the documentation and/or other materials provided with the
17 * distribution.
18 *
19 * 3. All advertising materials mentioning features or use of this
20 * software must display the following acknowledgment:
21 * "This product includes software developed by the OpenSSL Project
22 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
23 *
24 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
25 * endorse or promote products derived from this software without
26 * prior written permission. For written permission, please contact
27 * openssl-core@openssl.org.
28 *
29 * 5. Products derived from this software may not be called "OpenSSL"
30 * nor may "OpenSSL" appear in their names without prior written
31 * permission of the OpenSSL Project.
32 *
33 * 6. Redistributions of any form whatsoever must retain the following
34 * acknowledgment:
35 * "This product includes software developed by the OpenSSL Project
36 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
37 *
38 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
39 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
40 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
41 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
42 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
43 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
44 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
45 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
46 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
47 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
48 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
49 * OF THE POSSIBILITY OF SUCH DAMAGE.
50 * ====================================================================
51 *
52 * This product includes cryptographic software written by Eric Young
53 * (eay@cryptsoft.com). This product includes software written by Tim
54 * Hudson (tjh@cryptsoft.com).
55 *
56 */
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57/* ====================================================================
58 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
59 *
0f113f3e 60 * Portions of the attached software ("Contribution") are developed by
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61 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
62 *
63 * The Contribution is licensed pursuant to the OpenSSL open source
64 * license provided above.
65 *
0f113f3e 66 * The elliptic curve binary polynomial software is originally written by
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67 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
68 *
69 */
62763f68 70
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71#include <stdio.h>
72#include <stdlib.h>
0bf23d9b 73#ifdef FLAT_INC
0f113f3e 74# include "e_os.h"
0bf23d9b 75#else
0f113f3e 76# include "../e_os.h"
0bf23d9b 77#endif
413a4a04 78#include <string.h>
48fe4d62 79#include <time.h>
adfe54b7 80
bb62a8b0 81#ifdef OPENSSL_NO_EC
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82int main(int argc, char *argv[])
83{
84 puts("Elliptic curves are disabled.");
85 return 0;
86}
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87#else
88
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89# include <openssl/ec.h>
90# ifndef OPENSSL_NO_ENGINE
91# include <openssl/engine.h>
92# endif
93# include <openssl/err.h>
94# include <openssl/obj_mac.h>
95# include <openssl/objects.h>
96# include <openssl/rand.h>
97# include <openssl/bn.h>
98# include <openssl/opensslconf.h>
99
100# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058 101/* suppress "too big too optimize" warning */
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102# pragma warning(disable:4959)
103# endif
104
105# define ABORT do { \
106 fflush(stdout); \
107 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
108 ERR_print_errors_fp(stderr); \
109 EXIT(1); \
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110} while (0)
111
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112# define TIMING_BASE_PT 0
113# define TIMING_RAND_PT 1
114# define TIMING_SIMUL 2
652ae06b 115
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116/* test multiplication with group order, long and negative scalars */
117static void group_order_tests(EC_GROUP *group)
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118{
119 BIGNUM *n1, *n2, *order;
120 EC_POINT *P = EC_POINT_new(group);
121 EC_POINT *Q = EC_POINT_new(group);
122 BN_CTX *ctx = BN_CTX_new();
123 int i;
124
125 n1 = BN_new();
126 n2 = BN_new();
127 order = BN_new();
128 fprintf(stdout, "verify group order ...");
129 fflush(stdout);
130 if (!EC_GROUP_get_order(group, order, ctx))
131 ABORT;
132 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
133 ABORT;
134 if (!EC_POINT_is_at_infinity(group, Q))
135 ABORT;
136 fprintf(stdout, ".");
137 fflush(stdout);
138 if (!EC_GROUP_precompute_mult(group, ctx))
139 ABORT;
140 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
141 ABORT;
142 if (!EC_POINT_is_at_infinity(group, Q))
143 ABORT;
144 fprintf(stdout, " ok\n");
145 fprintf(stdout, "long/negative scalar tests ");
146 for (i = 1; i <= 2; i++) {
147 const BIGNUM *scalars[6];
148 const EC_POINT *points[6];
149
150 fprintf(stdout, i == 1 ?
151 "allowing precomputation ... " :
152 "without precomputation ... ");
153 if (!BN_set_word(n1, i))
154 ABORT;
155 /*
156 * If i == 1, P will be the predefined generator for which
157 * EC_GROUP_precompute_mult has set up precomputation.
158 */
159 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
160 ABORT;
161
162 if (!BN_one(n1))
163 ABORT;
164 /* n1 = 1 - order */
165 if (!BN_sub(n1, n1, order))
166 ABORT;
167 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
168 ABORT;
169 if (0 != EC_POINT_cmp(group, Q, P, ctx))
170 ABORT;
171
172 /* n2 = 1 + order */
173 if (!BN_add(n2, order, BN_value_one()))
174 ABORT;
175 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
176 ABORT;
177 if (0 != EC_POINT_cmp(group, Q, P, ctx))
178 ABORT;
179
180 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
181 if (!BN_mul(n2, n1, n2, ctx))
182 ABORT;
183 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
184 ABORT;
185 if (0 != EC_POINT_cmp(group, Q, P, ctx))
186 ABORT;
187
188 /* n2 = order^2 - 1 */
189 BN_set_negative(n2, 0);
190 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
191 ABORT;
192 /* Add P to verify the result. */
193 if (!EC_POINT_add(group, Q, Q, P, ctx))
194 ABORT;
195 if (!EC_POINT_is_at_infinity(group, Q))
196 ABORT;
197
198 /* Exercise EC_POINTs_mul, including corner cases. */
199 if (EC_POINT_is_at_infinity(group, P))
200 ABORT;
201 scalars[0] = n1;
202 points[0] = Q; /* => infinity */
203 scalars[1] = n2;
204 points[1] = P; /* => -P */
205 scalars[2] = n1;
206 points[2] = Q; /* => infinity */
207 scalars[3] = n2;
208 points[3] = Q; /* => infinity */
209 scalars[4] = n1;
210 points[4] = P; /* => P */
211 scalars[5] = n2;
212 points[5] = Q; /* => infinity */
213 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
214 ABORT;
215 if (!EC_POINT_is_at_infinity(group, P))
216 ABORT;
217 }
218 fprintf(stdout, "ok\n");
219
220 EC_POINT_free(P);
221 EC_POINT_free(Q);
222 BN_free(n1);
223 BN_free(n2);
224 BN_free(order);
225 BN_CTX_free(ctx);
226}
04daec86 227
c13d7c02 228static void prime_field_tests(void)
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229{
230 BN_CTX *ctx = NULL;
231 BIGNUM *p, *a, *b;
232 EC_GROUP *group;
233 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
234 NULL, *P_384 = NULL, *P_521 = NULL;
235 EC_POINT *P, *Q, *R;
236 BIGNUM *x, *y, *z;
237 unsigned char buf[100];
238 size_t i, len;
239 int k;
240
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241 ctx = BN_CTX_new();
242 if (!ctx)
243 ABORT;
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244
245 p = BN_new();
246 a = BN_new();
247 b = BN_new();
248 if (!p || !a || !b)
249 ABORT;
250
251 if (!BN_hex2bn(&p, "17"))
252 ABORT;
253 if (!BN_hex2bn(&a, "1"))
254 ABORT;
255 if (!BN_hex2bn(&b, "1"))
256 ABORT;
257
258 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
259 * EC_GROUP_new_curve_GFp so
260 * that the library gets to
261 * choose the EC_METHOD */
262 if (!group)
263 ABORT;
264
265 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
266 ABORT;
267
268 {
269 EC_GROUP *tmp;
270 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
271 if (!tmp)
272 ABORT;
273 if (!EC_GROUP_copy(tmp, group))
274 ABORT;
275 EC_GROUP_free(group);
276 group = tmp;
277 }
278
279 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
280 ABORT;
281
282 fprintf(stdout,
283 "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
284 BN_print_fp(stdout, p);
285 fprintf(stdout, ")\n a = 0x");
286 BN_print_fp(stdout, a);
287 fprintf(stdout, "\n b = 0x");
288 BN_print_fp(stdout, b);
289 fprintf(stdout, "\n");
290
291 P = EC_POINT_new(group);
292 Q = EC_POINT_new(group);
293 R = EC_POINT_new(group);
294 if (!P || !Q || !R)
295 ABORT;
296
297 if (!EC_POINT_set_to_infinity(group, P))
298 ABORT;
299 if (!EC_POINT_is_at_infinity(group, P))
300 ABORT;
301
302 buf[0] = 0;
303 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
304 ABORT;
305
306 if (!EC_POINT_add(group, P, P, Q, ctx))
307 ABORT;
308 if (!EC_POINT_is_at_infinity(group, P))
309 ABORT;
310
311 x = BN_new();
312 y = BN_new();
313 z = BN_new();
314 if (!x || !y || !z)
315 ABORT;
316
317 if (!BN_hex2bn(&x, "D"))
318 ABORT;
319 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
320 ABORT;
68886be7 321 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
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MC
322 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
323 ABORT;
324 fprintf(stderr, "Point is not on curve: x = 0x");
325 BN_print_fp(stderr, x);
326 fprintf(stderr, ", y = 0x");
327 BN_print_fp(stderr, y);
328 fprintf(stderr, "\n");
329 ABORT;
330 }
331
332 fprintf(stdout, "A cyclic subgroup:\n");
333 k = 100;
334 do {
335 if (k-- == 0)
336 ABORT;
337
338 if (EC_POINT_is_at_infinity(group, P))
339 fprintf(stdout, " point at infinity\n");
340 else {
341 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
342 ABORT;
343
344 fprintf(stdout, " x = 0x");
345 BN_print_fp(stdout, x);
346 fprintf(stdout, ", y = 0x");
347 BN_print_fp(stdout, y);
348 fprintf(stdout, "\n");
349 }
350
351 if (!EC_POINT_copy(R, P))
352 ABORT;
353 if (!EC_POINT_add(group, P, P, Q, ctx))
354 ABORT;
355
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MC
356 }
357 while (!EC_POINT_is_at_infinity(group, P));
358
359 if (!EC_POINT_add(group, P, Q, R, ctx))
360 ABORT;
361 if (!EC_POINT_is_at_infinity(group, P))
362 ABORT;
363
364 len =
365 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
366 sizeof buf, ctx);
367 if (len == 0)
368 ABORT;
369 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
370 ABORT;
371 if (0 != EC_POINT_cmp(group, P, Q, ctx))
372 ABORT;
373 fprintf(stdout, "Generator as octet string, compressed form:\n ");
374 for (i = 0; i < len; i++)
375 fprintf(stdout, "%02X", buf[i]);
376
377 len =
378 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
379 sizeof buf, ctx);
380 if (len == 0)
381 ABORT;
382 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
383 ABORT;
384 if (0 != EC_POINT_cmp(group, P, Q, ctx))
385 ABORT;
386 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
387 for (i = 0; i < len; i++)
388 fprintf(stdout, "%02X", buf[i]);
389
390 len =
391 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
392 ctx);
393 if (len == 0)
394 ABORT;
395 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
396 ABORT;
397 if (0 != EC_POINT_cmp(group, P, Q, ctx))
398 ABORT;
399 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
400 for (i = 0; i < len; i++)
401 fprintf(stdout, "%02X", buf[i]);
402
403 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
404 ABORT;
405 fprintf(stdout,
406 "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
407 BN_print_fp(stdout, x);
408 fprintf(stdout, ", Y = 0x");
409 BN_print_fp(stdout, y);
410 fprintf(stdout, ", Z = 0x");
411 BN_print_fp(stdout, z);
412 fprintf(stdout, "\n");
413
414 if (!EC_POINT_invert(group, P, ctx))
415 ABORT;
416 if (0 != EC_POINT_cmp(group, P, R, ctx))
417 ABORT;
418
419 /*
420 * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
421 * 2000) -- not a NIST curve, but commonly used
422 */
423
424 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
425 ABORT;
426 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
427 ABORT;
428 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
429 ABORT;
430 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
431 ABORT;
432 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
433 ABORT;
434
435 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
436 ABORT;
437 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
438 ABORT;
439 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
440 ABORT;
68886be7 441 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
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MC
442 ABORT;
443 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
444 ABORT;
445 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
446 ABORT;
447
448 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
449 ABORT;
450 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
451 BN_print_fp(stdout, x);
452 fprintf(stdout, "\n y = 0x");
453 BN_print_fp(stdout, y);
454 fprintf(stdout, "\n");
455 /* G_y value taken from the standard: */
456 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
457 ABORT;
458 if (0 != BN_cmp(y, z))
459 ABORT;
460
461 fprintf(stdout, "verify degree ...");
462 if (EC_GROUP_get_degree(group) != 160)
463 ABORT;
464 fprintf(stdout, " ok\n");
465
466 group_order_tests(group);
467
75ebbd9a 468 if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
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MC
469 ABORT;
470 if (!EC_GROUP_copy(P_160, group))
471 ABORT;
472
473 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
474
475 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
476 ABORT;
477 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
478 ABORT;
479 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
480 ABORT;
481 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
482 ABORT;
483 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
484 ABORT;
485
486 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
487 ABORT;
488 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
489 ABORT;
68886be7 490 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
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MC
491 ABORT;
492 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
493 ABORT;
494 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
495 ABORT;
496
497 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
498 ABORT;
499 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
500 BN_print_fp(stdout, x);
501 fprintf(stdout, "\n y = 0x");
502 BN_print_fp(stdout, y);
503 fprintf(stdout, "\n");
504 /* G_y value taken from the standard: */
505 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
506 ABORT;
507 if (0 != BN_cmp(y, z))
508 ABORT;
509
510 fprintf(stdout, "verify degree ...");
511 if (EC_GROUP_get_degree(group) != 192)
512 ABORT;
513 fprintf(stdout, " ok\n");
514
515 group_order_tests(group);
516
75ebbd9a 517 if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
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MC
518 ABORT;
519 if (!EC_GROUP_copy(P_192, group))
520 ABORT;
521
522 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
523
524 if (!BN_hex2bn
525 (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
526 ABORT;
527 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
528 ABORT;
529 if (!BN_hex2bn
530 (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
531 ABORT;
532 if (!BN_hex2bn
533 (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
534 ABORT;
535 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
536 ABORT;
537
538 if (!BN_hex2bn
539 (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
540 ABORT;
541 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
542 ABORT;
68886be7 543 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
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MC
544 ABORT;
545 if (!BN_hex2bn
546 (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
547 ABORT;
548 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
549 ABORT;
550
551 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
552 ABORT;
553 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
554 BN_print_fp(stdout, x);
555 fprintf(stdout, "\n y = 0x");
556 BN_print_fp(stdout, y);
557 fprintf(stdout, "\n");
558 /* G_y value taken from the standard: */
559 if (!BN_hex2bn
560 (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
561 ABORT;
562 if (0 != BN_cmp(y, z))
563 ABORT;
564
565 fprintf(stdout, "verify degree ...");
566 if (EC_GROUP_get_degree(group) != 224)
567 ABORT;
568 fprintf(stdout, " ok\n");
569
570 group_order_tests(group);
571
75ebbd9a 572 if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
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MC
573 ABORT;
574 if (!EC_GROUP_copy(P_224, group))
575 ABORT;
576
577 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
578
579 if (!BN_hex2bn
580 (&p,
581 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
582 ABORT;
583 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
584 ABORT;
585 if (!BN_hex2bn
586 (&a,
587 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
588 ABORT;
589 if (!BN_hex2bn
590 (&b,
591 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
592 ABORT;
593 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
594 ABORT;
595
596 if (!BN_hex2bn
597 (&x,
598 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
599 ABORT;
600 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
601 ABORT;
68886be7 602 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
603 ABORT;
604 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
605 "84F3B9CAC2FC632551"))
606 ABORT;
607 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
608 ABORT;
609
610 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
611 ABORT;
612 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
613 BN_print_fp(stdout, x);
614 fprintf(stdout, "\n y = 0x");
615 BN_print_fp(stdout, y);
616 fprintf(stdout, "\n");
617 /* G_y value taken from the standard: */
618 if (!BN_hex2bn
619 (&z,
620 "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
621 ABORT;
622 if (0 != BN_cmp(y, z))
623 ABORT;
624
625 fprintf(stdout, "verify degree ...");
626 if (EC_GROUP_get_degree(group) != 256)
627 ABORT;
628 fprintf(stdout, " ok\n");
629
630 group_order_tests(group);
631
75ebbd9a 632 if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
633 ABORT;
634 if (!EC_GROUP_copy(P_256, group))
635 ABORT;
636
637 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
638
639 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
640 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
641 ABORT;
642 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
643 ABORT;
644 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
645 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
646 ABORT;
647 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
648 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
649 ABORT;
650 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
651 ABORT;
652
653 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
654 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
655 ABORT;
656 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
657 ABORT;
68886be7 658 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
659 ABORT;
660 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
661 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
662 ABORT;
663 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
664 ABORT;
665
666 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
667 ABORT;
668 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
669 BN_print_fp(stdout, x);
670 fprintf(stdout, "\n y = 0x");
671 BN_print_fp(stdout, y);
672 fprintf(stdout, "\n");
673 /* G_y value taken from the standard: */
674 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
675 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
676 ABORT;
677 if (0 != BN_cmp(y, z))
678 ABORT;
679
680 fprintf(stdout, "verify degree ...");
681 if (EC_GROUP_get_degree(group) != 384)
682 ABORT;
683 fprintf(stdout, " ok\n");
684
685 group_order_tests(group);
686
75ebbd9a 687 if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
688 ABORT;
689 if (!EC_GROUP_copy(P_384, group))
690 ABORT;
691
692 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
693
694 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
695 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
696 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
697 ABORT;
698 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
699 ABORT;
700 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
701 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
702 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
703 ABORT;
704 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
705 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
706 "DF883D2C34F1EF451FD46B503F00"))
707 ABORT;
708 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
709 ABORT;
710
711 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
712 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
713 "3C1856A429BF97E7E31C2E5BD66"))
714 ABORT;
715 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
716 ABORT;
68886be7 717 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
718 ABORT;
719 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
720 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
721 "C9B8899C47AEBB6FB71E91386409"))
722 ABORT;
723 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
724 ABORT;
725
726 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
727 ABORT;
728 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
729 BN_print_fp(stdout, x);
730 fprintf(stdout, "\n y = 0x");
731 BN_print_fp(stdout, y);
732 fprintf(stdout, "\n");
733 /* G_y value taken from the standard: */
734 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
735 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
736 "7086A272C24088BE94769FD16650"))
737 ABORT;
738 if (0 != BN_cmp(y, z))
739 ABORT;
740
741 fprintf(stdout, "verify degree ...");
742 if (EC_GROUP_get_degree(group) != 521)
743 ABORT;
744 fprintf(stdout, " ok\n");
745
746 group_order_tests(group);
747
75ebbd9a 748 if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
0f113f3e
MC
749 ABORT;
750 if (!EC_GROUP_copy(P_521, group))
751 ABORT;
752
753 /* more tests using the last curve */
754
755 if (!EC_POINT_copy(Q, P))
756 ABORT;
757 if (EC_POINT_is_at_infinity(group, Q))
758 ABORT;
759 if (!EC_POINT_dbl(group, P, P, ctx))
760 ABORT;
68886be7 761 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
762 ABORT;
763 if (!EC_POINT_invert(group, Q, ctx))
764 ABORT; /* P = -2Q */
765
766 if (!EC_POINT_add(group, R, P, Q, ctx))
767 ABORT;
768 if (!EC_POINT_add(group, R, R, Q, ctx))
769 ABORT;
770 if (!EC_POINT_is_at_infinity(group, R))
771 ABORT; /* R = P + 2Q */
772
773 {
774 const EC_POINT *points[4];
775 const BIGNUM *scalars[4];
776 BIGNUM *scalar3;
777
778 if (EC_POINT_is_at_infinity(group, Q))
779 ABORT;
780 points[0] = Q;
781 points[1] = Q;
782 points[2] = Q;
783 points[3] = Q;
784
785 if (!EC_GROUP_get_order(group, z, ctx))
786 ABORT;
787 if (!BN_add(y, z, BN_value_one()))
788 ABORT;
789 if (BN_is_odd(y))
790 ABORT;
791 if (!BN_rshift1(y, y))
792 ABORT;
793 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
794 scalars[1] = y;
795
796 fprintf(stdout, "combined multiplication ...");
797 fflush(stdout);
798
799 /* z is still the group order */
800 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
801 ABORT;
802 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
803 ABORT;
804 if (0 != EC_POINT_cmp(group, P, R, ctx))
805 ABORT;
806 if (0 != EC_POINT_cmp(group, R, Q, ctx))
807 ABORT;
808
809 fprintf(stdout, ".");
810 fflush(stdout);
811
812 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
813 ABORT;
814 if (!BN_add(z, z, y))
815 ABORT;
816 BN_set_negative(z, 1);
817 scalars[0] = y;
818 scalars[1] = z; /* z = -(order + y) */
819
820 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
821 ABORT;
822 if (!EC_POINT_is_at_infinity(group, P))
823 ABORT;
824
825 fprintf(stdout, ".");
826 fflush(stdout);
827
828 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
829 ABORT;
830 if (!BN_add(z, x, y))
831 ABORT;
832 BN_set_negative(z, 1);
833 scalars[0] = x;
834 scalars[1] = y;
835 scalars[2] = z; /* z = -(x+y) */
836
837 scalar3 = BN_new();
838 if (!scalar3)
839 ABORT;
840 BN_zero(scalar3);
841 scalars[3] = scalar3;
842
843 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
844 ABORT;
845 if (!EC_POINT_is_at_infinity(group, P))
846 ABORT;
847
848 fprintf(stdout, " ok\n\n");
849
850 BN_free(scalar3);
851 }
852
23a1d5e9 853 BN_CTX_free(ctx);
0f113f3e
MC
854 BN_free(p);
855 BN_free(a);
856 BN_free(b);
857 EC_GROUP_free(group);
858 EC_POINT_free(P);
859 EC_POINT_free(Q);
860 EC_POINT_free(R);
861 BN_free(x);
862 BN_free(y);
863 BN_free(z);
864
8fdc3734
RS
865 EC_GROUP_free(P_160);
866 EC_GROUP_free(P_192);
867 EC_GROUP_free(P_224);
868 EC_GROUP_free(P_256);
869 EC_GROUP_free(P_384);
870 EC_GROUP_free(P_521);
0f113f3e
MC
871
872}
7793f30e
BM
873
874/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
875# ifdef OPENSSL_EC_BIN_PT_COMP
876# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
877 if (!BN_hex2bn(&x, _x)) ABORT; \
878 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
68886be7 879 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
0f113f3e
MC
880 if (!BN_hex2bn(&z, _order)) ABORT; \
881 if (!BN_hex2bn(&cof, _cof)) ABORT; \
882 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
883 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
884 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
885 BN_print_fp(stdout, x); \
886 fprintf(stdout, "\n y = 0x"); \
887 BN_print_fp(stdout, y); \
888 fprintf(stdout, "\n"); \
889 /* G_y value taken from the standard: */ \
890 if (!BN_hex2bn(&z, _y)) ABORT; \
891 if (0 != BN_cmp(y, z)) ABORT;
892# else
893# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
894 if (!BN_hex2bn(&x, _x)) ABORT; \
895 if (!BN_hex2bn(&y, _y)) ABORT; \
896 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
68886be7 897 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
0f113f3e
MC
898 if (!BN_hex2bn(&z, _order)) ABORT; \
899 if (!BN_hex2bn(&cof, _cof)) ABORT; \
900 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
901 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
902 BN_print_fp(stdout, x); \
903 fprintf(stdout, "\n y = 0x"); \
904 BN_print_fp(stdout, y); \
905 fprintf(stdout, "\n");
906# endif
907
908# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
909 if (!BN_hex2bn(&p, _p)) ABORT; \
910 if (!BN_hex2bn(&a, _a)) ABORT; \
911 if (!BN_hex2bn(&b, _b)) ABORT; \
912 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
913 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
914 fprintf(stdout, "verify degree ..."); \
915 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
916 fprintf(stdout, " ok\n"); \
917 group_order_tests(group); \
75ebbd9a 918 if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \
0f113f3e
MC
919 if (!EC_GROUP_copy(_variable, group)) ABORT; \
920
921# ifndef OPENSSL_NO_EC2M
7793f30e 922
c13d7c02 923static void char2_field_tests(void)
0f113f3e
MC
924{
925 BN_CTX *ctx = NULL;
926 BIGNUM *p, *a, *b;
927 EC_GROUP *group;
928 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
929 NULL, *C2_K571 = NULL;
930 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
931 NULL, *C2_B571 = NULL;
932 EC_POINT *P, *Q, *R;
933 BIGNUM *x, *y, *z, *cof;
934 unsigned char buf[100];
935 size_t i, len;
936 int k;
937
0f113f3e
MC
938 ctx = BN_CTX_new();
939 if (!ctx)
940 ABORT;
0f113f3e
MC
941
942 p = BN_new();
943 a = BN_new();
944 b = BN_new();
945 if (!p || !a || !b)
946 ABORT;
947
948 if (!BN_hex2bn(&p, "13"))
949 ABORT;
950 if (!BN_hex2bn(&a, "3"))
951 ABORT;
952 if (!BN_hex2bn(&b, "1"))
953 ABORT;
954
955 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
956 * EC_GROUP_new_curve_GF2m
957 * so that the library gets
958 * to choose the EC_METHOD */
959 if (!group)
960 ABORT;
961 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
962 ABORT;
963
964 {
965 EC_GROUP *tmp;
966 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
967 if (!tmp)
968 ABORT;
969 if (!EC_GROUP_copy(tmp, group))
970 ABORT;
971 EC_GROUP_free(group);
972 group = tmp;
973 }
974
975 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
976 ABORT;
977
978 fprintf(stdout,
979 "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
980 BN_print_fp(stdout, p);
981 fprintf(stdout, ")\n a = 0x");
982 BN_print_fp(stdout, a);
983 fprintf(stdout, "\n b = 0x");
984 BN_print_fp(stdout, b);
985 fprintf(stdout, "\n(0x... means binary polynomial)\n");
986
987 P = EC_POINT_new(group);
988 Q = EC_POINT_new(group);
989 R = EC_POINT_new(group);
990 if (!P || !Q || !R)
991 ABORT;
992
993 if (!EC_POINT_set_to_infinity(group, P))
994 ABORT;
995 if (!EC_POINT_is_at_infinity(group, P))
996 ABORT;
997
998 buf[0] = 0;
999 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1000 ABORT;
1001
1002 if (!EC_POINT_add(group, P, P, Q, ctx))
1003 ABORT;
1004 if (!EC_POINT_is_at_infinity(group, P))
1005 ABORT;
1006
1007 x = BN_new();
1008 y = BN_new();
1009 z = BN_new();
1010 cof = BN_new();
1011 if (!x || !y || !z || !cof)
1012 ABORT;
1013
1014 if (!BN_hex2bn(&x, "6"))
1015 ABORT;
7793f30e 1016/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1017# ifdef OPENSSL_EC_BIN_PT_COMP
1018 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1019 ABORT;
1020# else
1021 if (!BN_hex2bn(&y, "8"))
1022 ABORT;
1023 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1024 ABORT;
1025# endif
68886be7 1026 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
7793f30e 1027/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1028# ifdef OPENSSL_EC_BIN_PT_COMP
1029 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1030 ABORT;
1031# endif
1032 fprintf(stderr, "Point is not on curve: x = 0x");
1033 BN_print_fp(stderr, x);
1034 fprintf(stderr, ", y = 0x");
1035 BN_print_fp(stderr, y);
1036 fprintf(stderr, "\n");
1037 ABORT;
1038 }
1039
1040 fprintf(stdout, "A cyclic subgroup:\n");
1041 k = 100;
1042 do {
1043 if (k-- == 0)
1044 ABORT;
1045
1046 if (EC_POINT_is_at_infinity(group, P))
1047 fprintf(stdout, " point at infinity\n");
1048 else {
1049 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1050 ABORT;
1051
1052 fprintf(stdout, " x = 0x");
1053 BN_print_fp(stdout, x);
1054 fprintf(stdout, ", y = 0x");
1055 BN_print_fp(stdout, y);
1056 fprintf(stdout, "\n");
1057 }
1058
1059 if (!EC_POINT_copy(R, P))
1060 ABORT;
1061 if (!EC_POINT_add(group, P, P, Q, ctx))
1062 ABORT;
1063 }
1064 while (!EC_POINT_is_at_infinity(group, P));
1065
1066 if (!EC_POINT_add(group, P, Q, R, ctx))
1067 ABORT;
1068 if (!EC_POINT_is_at_infinity(group, P))
1069 ABORT;
7793f30e
BM
1070
1071/* Change test based on whether binary point compression is enabled or not. */
0f113f3e
MC
1072# ifdef OPENSSL_EC_BIN_PT_COMP
1073 len =
1074 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1075 sizeof buf, ctx);
1076 if (len == 0)
1077 ABORT;
1078 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1079 ABORT;
1080 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1081 ABORT;
1082 fprintf(stdout, "Generator as octet string, compressed form:\n ");
1083 for (i = 0; i < len; i++)
1084 fprintf(stdout, "%02X", buf[i]);
1085# endif
1086
1087 len =
1088 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1089 sizeof buf, ctx);
1090 if (len == 0)
1091 ABORT;
1092 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1093 ABORT;
1094 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1095 ABORT;
1096 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
1097 for (i = 0; i < len; i++)
1098 fprintf(stdout, "%02X", buf[i]);
7793f30e 1099
0f113f3e
MC
1100/* Change test based on whether binary point compression is enabled or not. */
1101# ifdef OPENSSL_EC_BIN_PT_COMP
1102 len =
1103 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1104 ctx);
1105 if (len == 0)
1106 ABORT;
1107 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1108 ABORT;
1109 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1110 ABORT;
1111 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
1112 for (i = 0; i < len; i++)
1113 fprintf(stdout, "%02X", buf[i]);
1114# endif
1115
1116 fprintf(stdout, "\n");
1117
1118 if (!EC_POINT_invert(group, P, ctx))
1119 ABORT;
1120 if (0 != EC_POINT_cmp(group, P, R, ctx))
1121 ABORT;
1122
1123 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1124 CHAR2_CURVE_TEST
1125 ("NIST curve K-163",
1126 "0800000000000000000000000000000000000000C9",
1127 "1",
1128 "1",
1129 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1130 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1131 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1132
1133 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1134 CHAR2_CURVE_TEST
1135 ("NIST curve B-163",
1136 "0800000000000000000000000000000000000000C9",
1137 "1",
1138 "020A601907B8C953CA1481EB10512F78744A3205FD",
1139 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1140 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1141 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1142
1143 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1144 CHAR2_CURVE_TEST
1145 ("NIST curve K-233",
1146 "020000000000000000000000000000000000000004000000000000000001",
1147 "0",
1148 "1",
1149 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1150 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1151 0,
1152 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1153 "4", 233, C2_K233);
1154
1155 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1156 CHAR2_CURVE_TEST
1157 ("NIST curve B-233",
1158 "020000000000000000000000000000000000000004000000000000000001",
1159 "000000000000000000000000000000000000000000000000000000000001",
1160 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1161 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1162 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1163 1,
1164 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1165 "2", 233, C2_B233);
1166
1167 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1168 CHAR2_CURVE_TEST
1169 ("NIST curve K-283",
1170 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1171 "0",
1172 "1",
1173 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1174 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1175 0,
1176 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1177 "4", 283, C2_K283);
1178
1179 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1180 CHAR2_CURVE_TEST
1181 ("NIST curve B-283",
1182 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1183 "000000000000000000000000000000000000000000000000000000000000000000000001",
1184 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1185 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1186 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1187 1,
1188 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1189 "2", 283, C2_B283);
1190
1191 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1192 CHAR2_CURVE_TEST
1193 ("NIST curve K-409",
1194 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1195 "0",
1196 "1",
1197 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1198 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1199 1,
1200 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1201 "4", 409, C2_K409);
1202
1203 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1204 CHAR2_CURVE_TEST
1205 ("NIST curve B-409",
1206 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1207 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1208 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1209 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1210 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1211 1,
1212 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1213 "2", 409, C2_B409);
1214
1215 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1216 CHAR2_CURVE_TEST
1217 ("NIST curve K-571",
1218 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1219 "0",
1220 "1",
1221 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1222 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1223 0,
1224 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1225 "4", 571, C2_K571);
1226
1227 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1228 CHAR2_CURVE_TEST
1229 ("NIST curve B-571",
1230 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1231 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1232 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1233 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1234 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1235 1,
1236 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1237 "2", 571, C2_B571);
1238
1239 /* more tests using the last curve */
1240
1241 if (!EC_POINT_copy(Q, P))
1242 ABORT;
1243 if (EC_POINT_is_at_infinity(group, Q))
1244 ABORT;
1245 if (!EC_POINT_dbl(group, P, P, ctx))
1246 ABORT;
68886be7 1247 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
0f113f3e
MC
1248 ABORT;
1249 if (!EC_POINT_invert(group, Q, ctx))
1250 ABORT; /* P = -2Q */
1251
1252 if (!EC_POINT_add(group, R, P, Q, ctx))
1253 ABORT;
1254 if (!EC_POINT_add(group, R, R, Q, ctx))
1255 ABORT;
1256 if (!EC_POINT_is_at_infinity(group, R))
1257 ABORT; /* R = P + 2Q */
1258
1259 {
1260 const EC_POINT *points[3];
1261 const BIGNUM *scalars[3];
1262
1263 if (EC_POINT_is_at_infinity(group, Q))
1264 ABORT;
1265 points[0] = Q;
1266 points[1] = Q;
1267 points[2] = Q;
1268
1269 if (!BN_add(y, z, BN_value_one()))
1270 ABORT;
1271 if (BN_is_odd(y))
1272 ABORT;
1273 if (!BN_rshift1(y, y))
1274 ABORT;
1275 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1276 scalars[1] = y;
1277
1278 fprintf(stdout, "combined multiplication ...");
1279 fflush(stdout);
1280
1281 /* z is still the group order */
1282 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1283 ABORT;
1284 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1285 ABORT;
1286 if (0 != EC_POINT_cmp(group, P, R, ctx))
1287 ABORT;
1288 if (0 != EC_POINT_cmp(group, R, Q, ctx))
1289 ABORT;
1290
1291 fprintf(stdout, ".");
1292 fflush(stdout);
1293
1294 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1295 ABORT;
1296 if (!BN_add(z, z, y))
1297 ABORT;
1298 BN_set_negative(z, 1);
1299 scalars[0] = y;
1300 scalars[1] = z; /* z = -(order + y) */
1301
1302 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1303 ABORT;
1304 if (!EC_POINT_is_at_infinity(group, P))
1305 ABORT;
1306
1307 fprintf(stdout, ".");
1308 fflush(stdout);
1309
1310 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1311 ABORT;
1312 if (!BN_add(z, x, y))
1313 ABORT;
1314 BN_set_negative(z, 1);
1315 scalars[0] = x;
1316 scalars[1] = y;
1317 scalars[2] = z; /* z = -(x+y) */
1318
1319 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1320 ABORT;
1321 if (!EC_POINT_is_at_infinity(group, P))
1322 ABORT;
1323
1324 fprintf(stdout, " ok\n\n");
1325 }
1326
23a1d5e9 1327 BN_CTX_free(ctx);
0f113f3e
MC
1328 BN_free(p);
1329 BN_free(a);
1330 BN_free(b);
1331 EC_GROUP_free(group);
1332 EC_POINT_free(P);
1333 EC_POINT_free(Q);
1334 EC_POINT_free(R);
1335 BN_free(x);
1336 BN_free(y);
1337 BN_free(z);
1338 BN_free(cof);
1339
8fdc3734
RS
1340 EC_GROUP_free(C2_K163);
1341 EC_GROUP_free(C2_B163);
1342 EC_GROUP_free(C2_K233);
1343 EC_GROUP_free(C2_B233);
1344 EC_GROUP_free(C2_K283);
1345 EC_GROUP_free(C2_B283);
1346 EC_GROUP_free(C2_K409);
1347 EC_GROUP_free(C2_B409);
1348 EC_GROUP_free(C2_K571);
1349 EC_GROUP_free(C2_B571);
0f113f3e
MC
1350
1351}
1352# endif
7793f30e 1353
5df2a249 1354static void internal_curve_test(void)
0f113f3e
MC
1355{
1356 EC_builtin_curve *curves = NULL;
1357 size_t crv_len = 0, n = 0;
1358 int ok = 1;
1359
1360 crv_len = EC_get_builtin_curves(NULL, 0);
b4faea50 1361 curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
0f113f3e
MC
1362 if (curves == NULL)
1363 return;
1364
1365 if (!EC_get_builtin_curves(curves, crv_len)) {
1366 OPENSSL_free(curves);
1367 return;
1368 }
1369
1370 fprintf(stdout, "testing internal curves: ");
1371
1372 for (n = 0; n < crv_len; n++) {
1373 EC_GROUP *group = NULL;
1374 int nid = curves[n].nid;
1375 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1376 ok = 0;
1377 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1378 " curve %s\n", OBJ_nid2sn(nid));
1379 /* try next curve */
1380 continue;
1381 }
1382 if (!EC_GROUP_check(group, NULL)) {
1383 ok = 0;
1384 fprintf(stdout, "\nEC_GROUP_check() failed with"
1385 " curve %s\n", OBJ_nid2sn(nid));
1386 EC_GROUP_free(group);
1387 /* try the next curve */
1388 continue;
1389 }
1390 fprintf(stdout, ".");
1391 fflush(stdout);
1392 EC_GROUP_free(group);
1393 }
1394 if (ok)
1395 fprintf(stdout, " ok\n\n");
1396 else {
1397 fprintf(stdout, " failed\n\n");
1398 ABORT;
1399 }
920ed8c8
BB
1400
1401 /* Test all built-in curves and let the library choose the EC_METHOD */
1402 for (n = 0; n < crv_len; n++) {
1403 EC_GROUP *group = NULL;
1404 int nid = curves[n].nid;
1405 fprintf(stdout, "%s:\n", OBJ_nid2sn(nid));
1406 fflush(stdout);
1407 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1408 ABORT;
1409 }
1410 group_order_tests(group);
1411 EC_GROUP_free(group);
1412 }
1413
0f113f3e
MC
1414 OPENSSL_free(curves);
1415 return;
1416}
1417
1418# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1419/*
1420 * nistp_test_params contains magic numbers for testing our optimized
1421 * implementations of several NIST curves with characteristic > 3.
1422 */
1423struct nistp_test_params {
1424 const EC_METHOD *(*meth) ();
1425 int degree;
1426 /*
1427 * Qx, Qy and D are taken from
79caf5d3 1428 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
0f113f3e
MC
1429 * Otherwise, values are standard curve parameters from FIPS 180-3
1430 */
1431 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1432};
1433
1434static const struct nistp_test_params nistp_tests_params[] = {
1435 {
1436 /* P-224 */
1437 EC_GFp_nistp224_method,
1438 224,
1439 /* p */
1440 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1441 /* a */
1442 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1443 /* b */
1444 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1445 /* Qx */
1446 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1447 /* Qy */
1448 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1449 /* Gx */
1450 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1451 /* Gy */
1452 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1453 /* order */
1454 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1455 /* d */
1456 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1457 },
1458 {
1459 /* P-256 */
1460 EC_GFp_nistp256_method,
1461 256,
1462 /* p */
1463 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1464 /* a */
1465 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1466 /* b */
1467 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1468 /* Qx */
1469 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1470 /* Qy */
1471 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1472 /* Gx */
1473 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1474 /* Gy */
1475 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1476 /* order */
1477 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1478 /* d */
1479 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1480 },
1481 {
1482 /* P-521 */
1483 EC_GFp_nistp521_method,
1484 521,
1485 /* p */
1486 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1487 /* a */
1488 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1489 /* b */
1490 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1491 /* Qx */
1492 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1493 /* Qy */
1494 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1495 /* Gx */
1496 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1497 /* Gy */
1498 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1499 /* order */
1500 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1501 /* d */
1502 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1503 },
1504};
3e00b4c9 1505
b597aab8 1506static void nistp_single_test(const struct nistp_test_params *test)
0f113f3e
MC
1507{
1508 BN_CTX *ctx;
1509 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1510 EC_GROUP *NISTP;
1511 EC_POINT *G, *P, *Q, *Q_CHECK;
1512
1513 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1514 test->degree);
1515 ctx = BN_CTX_new();
1516 p = BN_new();
1517 a = BN_new();
1518 b = BN_new();
1519 x = BN_new();
1520 y = BN_new();
1521 m = BN_new();
1522 n = BN_new();
1523 order = BN_new();
1524
1525 NISTP = EC_GROUP_new(test->meth());
1526 if (!NISTP)
1527 ABORT;
1528 if (!BN_hex2bn(&p, test->p))
1529 ABORT;
1530 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1531 ABORT;
1532 if (!BN_hex2bn(&a, test->a))
1533 ABORT;
1534 if (!BN_hex2bn(&b, test->b))
1535 ABORT;
1536 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1537 ABORT;
1538 G = EC_POINT_new(NISTP);
1539 P = EC_POINT_new(NISTP);
1540 Q = EC_POINT_new(NISTP);
1541 Q_CHECK = EC_POINT_new(NISTP);
1542 if (!BN_hex2bn(&x, test->Qx))
1543 ABORT;
1544 if (!BN_hex2bn(&y, test->Qy))
1545 ABORT;
1546 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1547 ABORT;
1548 if (!BN_hex2bn(&x, test->Gx))
1549 ABORT;
1550 if (!BN_hex2bn(&y, test->Gy))
1551 ABORT;
1552 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1553 ABORT;
1554 if (!BN_hex2bn(&order, test->order))
1555 ABORT;
1556 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1557 ABORT;
1558
1559 fprintf(stdout, "verify degree ... ");
1560 if (EC_GROUP_get_degree(NISTP) != test->degree)
1561 ABORT;
1562 fprintf(stdout, "ok\n");
1563
1564 fprintf(stdout, "NIST test vectors ... ");
1565 if (!BN_hex2bn(&n, test->d))
1566 ABORT;
1567 /* fixed point multiplication */
1568 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1569 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1570 ABORT;
1571 /* random point multiplication */
1572 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1573 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1574 ABORT;
1575
1576 /* set generator to P = 2*G, where G is the standard generator */
1577 if (!EC_POINT_dbl(NISTP, P, G, ctx))
1578 ABORT;
1579 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1580 ABORT;
1581 /* set the scalar to m=n/2, where n is the NIST test scalar */
1582 if (!BN_rshift(m, n, 1))
1583 ABORT;
1584
1585 /* test the non-standard generator */
1586 /* fixed point multiplication */
1587 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1588 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1589 ABORT;
1590 /* random point multiplication */
1591 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1592 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1593 ABORT;
1594
8ce4e7e6
MC
1595 /*
1596 * We have not performed precomputation so have_precompute mult should be
1597 * false
1598 */
1599 if (EC_GROUP_have_precompute_mult(NISTP))
1600 ABORT;
1601
0f113f3e
MC
1602 /* now repeat all tests with precomputation */
1603 if (!EC_GROUP_precompute_mult(NISTP, ctx))
1604 ABORT;
8ce4e7e6
MC
1605 if (!EC_GROUP_have_precompute_mult(NISTP))
1606 ABORT;
0f113f3e
MC
1607
1608 /* fixed point multiplication */
1609 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1610 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1611 ABORT;
1612 /* random point multiplication */
1613 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1614 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1615 ABORT;
1616
1617 /* reset generator */
1618 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1619 ABORT;
1620 /* fixed point multiplication */
1621 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1622 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1623 ABORT;
1624 /* random point multiplication */
1625 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1626 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1627 ABORT;
1628
1629 fprintf(stdout, "ok\n");
1630 group_order_tests(NISTP);
0f113f3e
MC
1631 EC_GROUP_free(NISTP);
1632 EC_POINT_free(G);
1633 EC_POINT_free(P);
1634 EC_POINT_free(Q);
1635 EC_POINT_free(Q_CHECK);
1636 BN_free(n);
1637 BN_free(m);
1638 BN_free(p);
1639 BN_free(a);
1640 BN_free(b);
1641 BN_free(x);
1642 BN_free(y);
1643 BN_free(order);
1644 BN_CTX_free(ctx);
1645}
3e00b4c9 1646
b597aab8 1647static void nistp_tests()
0f113f3e
MC
1648{
1649 unsigned i;
04daec86 1650
bdcb1a2c 1651 for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
0f113f3e
MC
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{
bbd86bf5 1662 char *p;
0f113f3e 1663
bbd86bf5
RS
1664 p = getenv("OPENSSL_DEBUG_MEMORY");
1665 if (p != NULL && strcmp(p, "on") == 0)
1666 CRYPTO_set_mem_debug(1);
0f113f3e 1667 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
0f113f3e
MC
1668
1669 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1670
1671 prime_field_tests();
1672 puts("");
1673# ifndef OPENSSL_NO_EC2M
1674 char2_field_tests();
1675# endif
1676# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1677 nistp_tests();
1678# endif
1679 /* test the internal curves */
1680 internal_curve_test();
1681
c2e27310 1682#ifndef OPENSSL_NO_CRYPTO_MDEBUG
541e9565
DSH
1683 if (CRYPTO_mem_leaks_fp(stderr) <= 0)
1684 return 1;
bbd86bf5 1685#endif
0f113f3e
MC
1686
1687 return 0;
1688}
bb62a8b0 1689#endif