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diff --git a/src/lib/libcrypto/ec/ectest.c b/src/lib/libcrypto/ec/ectest.c
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1/* crypto/ec/ectest.c */
2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
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
13 * notice, this list of conditions and the following disclaimer.
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 */
58/* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 *
61 * Portions of the attached software ("Contribution") are developed by
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 *
67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72#include <stdio.h>
73#include <stdlib.h>
74#ifdef FLAT_INC
75#include "e_os.h"
76#else
77#include "../e_os.h"
78#endif
79#include <string.h>
80#include <time.h>
81
82
83#ifdef OPENSSL_NO_EC
84int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
85#else
86
87
88#include <openssl/ec.h>
89#ifndef OPENSSL_NO_ENGINE
90#include <openssl/engine.h>
91#endif
92#include <openssl/err.h>
93#include <openssl/obj_mac.h>
94#include <openssl/objects.h>
95#include <openssl/rand.h>
96#include <openssl/bn.h>
97#include <openssl/opensslconf.h>
98
99#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
100/* suppress "too big too optimize" warning */
101#pragma warning(disable:4959)
102#endif
103
104#define ABORT do { \
105 fflush(stdout); \
106 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
107 ERR_print_errors_fp(stderr); \
108 EXIT(1); \
109} while (0)
110
111#define TIMING_BASE_PT 0
112#define TIMING_RAND_PT 1
113#define TIMING_SIMUL 2
114
115#if 0
116static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
117 {
118 clock_t clck;
119 int i, j;
120 BIGNUM *s;
121 BIGNUM *r[10], *r0[10];
122 EC_POINT *P;
123
124 s = BN_new();
125 if (s == NULL) ABORT;
126
127 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
128 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
129 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
130 fflush(stdout);
131
132 P = EC_POINT_new(group);
133 if (P == NULL) ABORT;
134 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
135
136 for (i = 0; i < 10; i++)
137 {
138 if ((r[i] = BN_new()) == NULL) ABORT;
139 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
140 if (type != TIMING_BASE_PT)
141 {
142 if ((r0[i] = BN_new()) == NULL) ABORT;
143 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
144 }
145 }
146
147 clck = clock();
148 for (i = 0; i < 10; i++)
149 {
150 for (j = 0; j < 10; j++)
151 {
152 if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
153 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
154 }
155 }
156 clck = clock() - clck;
157
158 fprintf(stdout, "\n");
159
160#ifdef CLOCKS_PER_SEC
161 /* "To determine the time in seconds, the value returned
162 * by the clock function should be divided by the value
163 * of the macro CLOCKS_PER_SEC."
164 * -- ISO/IEC 9899 */
165# define UNIT "s"
166#else
167 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
168 * -- cc on NeXTstep/OpenStep */
169# define UNIT "units"
170# define CLOCKS_PER_SEC 1
171#endif
172
173 if (type == TIMING_BASE_PT) {
174 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
175 "base point multiplications", (double)clck/CLOCKS_PER_SEC);
176 } else if (type == TIMING_RAND_PT) {
177 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
178 "random point multiplications", (double)clck/CLOCKS_PER_SEC);
179 } else if (type == TIMING_SIMUL) {
180 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
181 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
182 }
183 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
184
185 EC_POINT_free(P);
186 BN_free(s);
187 for (i = 0; i < 10; i++)
188 {
189 BN_free(r[i]);
190 if (type != TIMING_BASE_PT) BN_free(r0[i]);
191 }
192 }
193#endif
194
195/* test multiplication with group order, long and negative scalars */
196static void group_order_tests(EC_GROUP *group)
197 {
198 BIGNUM *n1, *n2, *order;
199 EC_POINT *P = EC_POINT_new(group);
200 EC_POINT *Q = EC_POINT_new(group);
201 BN_CTX *ctx = BN_CTX_new();
202
203 n1 = BN_new(); n2 = BN_new(); order = BN_new();
204 fprintf(stdout, "verify group order ...");
205 fflush(stdout);
206 if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
207 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
208 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
209 fprintf(stdout, ".");
210 fflush(stdout);
211 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
212 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
213 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
214 fprintf(stdout, " ok\n");
215 fprintf(stdout, "long/negative scalar tests ... ");
216 if (!BN_one(n1)) ABORT;
217 /* n1 = 1 - order */
218 if (!BN_sub(n1, n1, order)) ABORT;
219 if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
220 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
221 /* n2 = 1 + order */
222 if (!BN_add(n2, order, BN_value_one())) ABORT;
223 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
224 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
225 /* n2 = (1 - order) * (1 + order) */
226 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
227 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
228 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
229 fprintf(stdout, "ok\n");
230 EC_POINT_free(P);
231 EC_POINT_free(Q);
232 BN_free(n1);
233 BN_free(n2);
234 BN_free(order);
235 BN_CTX_free(ctx);
236 }
237
238static void prime_field_tests(void)
239 {
240 BN_CTX *ctx = NULL;
241 BIGNUM *p, *a, *b;
242 EC_GROUP *group;
243 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
244 EC_POINT *P, *Q, *R;
245 BIGNUM *x, *y, *z;
246 unsigned char buf[100];
247 size_t i, len;
248 int k;
249
250#if 1 /* optional */
251 ctx = BN_CTX_new();
252 if (!ctx) ABORT;
253#endif
254
255 p = BN_new();
256 a = BN_new();
257 b = BN_new();
258 if (!p || !a || !b) ABORT;
259
260 if (!BN_hex2bn(&p, "17")) ABORT;
261 if (!BN_hex2bn(&a, "1")) ABORT;
262 if (!BN_hex2bn(&b, "1")) ABORT;
263
264 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
265 * so that the library gets to choose the EC_METHOD */
266 if (!group) ABORT;
267
268 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
269
270 {
271 EC_GROUP *tmp;
272 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
273 if (!tmp) ABORT;
274 if (!EC_GROUP_copy(tmp, group)) ABORT;
275 EC_GROUP_free(group);
276 group = tmp;
277 }
278
279 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
280
281 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
282 BN_print_fp(stdout, p);
283 fprintf(stdout, ")\n a = 0x");
284 BN_print_fp(stdout, a);
285 fprintf(stdout, "\n b = 0x");
286 BN_print_fp(stdout, b);
287 fprintf(stdout, "\n");
288
289 P = EC_POINT_new(group);
290 Q = EC_POINT_new(group);
291 R = EC_POINT_new(group);
292 if (!P || !Q || !R) ABORT;
293
294 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
295 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
296
297 buf[0] = 0;
298 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
299
300 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
301 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
302
303 x = BN_new();
304 y = BN_new();
305 z = BN_new();
306 if (!x || !y || !z) ABORT;
307
308 if (!BN_hex2bn(&x, "D")) ABORT;
309 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
310 if (!EC_POINT_is_on_curve(group, Q, ctx))
311 {
312 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
313 fprintf(stderr, "Point is not on curve: x = 0x");
314 BN_print_fp(stderr, x);
315 fprintf(stderr, ", y = 0x");
316 BN_print_fp(stderr, y);
317 fprintf(stderr, "\n");
318 ABORT;
319 }
320
321 fprintf(stdout, "A cyclic subgroup:\n");
322 k = 100;
323 do
324 {
325 if (k-- == 0) ABORT;
326
327 if (EC_POINT_is_at_infinity(group, P))
328 fprintf(stdout, " point at infinity\n");
329 else
330 {
331 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
332
333 fprintf(stdout, " x = 0x");
334 BN_print_fp(stdout, x);
335 fprintf(stdout, ", y = 0x");
336 BN_print_fp(stdout, y);
337 fprintf(stdout, "\n");
338 }
339
340 if (!EC_POINT_copy(R, P)) ABORT;
341 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
342
343#if 0 /* optional */
344 {
345 EC_POINT *points[3];
346
347 points[0] = R;
348 points[1] = Q;
349 points[2] = P;
350 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
351 }
352#endif
353
354 }
355 while (!EC_POINT_is_at_infinity(group, P));
356
357 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
358 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
359
360 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
361 if (len == 0) ABORT;
362 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
363 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
364 fprintf(stdout, "Generator as octet string, compressed form:\n ");
365 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
366
367 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
368 if (len == 0) ABORT;
369 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
370 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
371 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
372 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
373
374 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
375 if (len == 0) ABORT;
376 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
377 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
378 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
379 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
380
381 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
382 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
383 BN_print_fp(stdout, x);
384 fprintf(stdout, ", Y = 0x");
385 BN_print_fp(stdout, y);
386 fprintf(stdout, ", Z = 0x");
387 BN_print_fp(stdout, z);
388 fprintf(stdout, "\n");
389
390 if (!EC_POINT_invert(group, P, ctx)) ABORT;
391 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
392
393
394 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
395 * -- not a NIST curve, but commonly used */
396
397 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
398 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
399 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
400 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
401 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
402
403 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
404 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
405 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
406 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
407 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
408 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
409
410 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
411 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
412 BN_print_fp(stdout, x);
413 fprintf(stdout, "\n y = 0x");
414 BN_print_fp(stdout, y);
415 fprintf(stdout, "\n");
416 /* G_y value taken from the standard: */
417 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
418 if (0 != BN_cmp(y, z)) ABORT;
419
420 fprintf(stdout, "verify degree ...");
421 if (EC_GROUP_get_degree(group) != 160) ABORT;
422 fprintf(stdout, " ok\n");
423
424 group_order_tests(group);
425
426 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
427 if (!EC_GROUP_copy(P_160, group)) ABORT;
428
429
430 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
431
432 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
433 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
434 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
435 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
436 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
437
438 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
439 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
440 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
441 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
442 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
443
444 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
445 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
446 BN_print_fp(stdout, x);
447 fprintf(stdout, "\n y = 0x");
448 BN_print_fp(stdout, y);
449 fprintf(stdout, "\n");
450 /* G_y value taken from the standard: */
451 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
452 if (0 != BN_cmp(y, z)) ABORT;
453
454 fprintf(stdout, "verify degree ...");
455 if (EC_GROUP_get_degree(group) != 192) ABORT;
456 fprintf(stdout, " ok\n");
457
458 group_order_tests(group);
459
460 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
461 if (!EC_GROUP_copy(P_192, group)) ABORT;
462
463
464 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
465
466 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
467 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
468 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
469 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
470 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
471
472 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
473 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
474 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
475 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
476 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
477
478 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
479 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
480 BN_print_fp(stdout, x);
481 fprintf(stdout, "\n y = 0x");
482 BN_print_fp(stdout, y);
483 fprintf(stdout, "\n");
484 /* G_y value taken from the standard: */
485 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
486 if (0 != BN_cmp(y, z)) ABORT;
487
488 fprintf(stdout, "verify degree ...");
489 if (EC_GROUP_get_degree(group) != 224) ABORT;
490 fprintf(stdout, " ok\n");
491
492 group_order_tests(group);
493
494 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
495 if (!EC_GROUP_copy(P_224, group)) ABORT;
496
497
498 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
499
500 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
501 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
502 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
503 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
504 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
505
506 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
507 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
508 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
509 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
510 "84F3B9CAC2FC632551")) ABORT;
511 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
512
513 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
514 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
515 BN_print_fp(stdout, x);
516 fprintf(stdout, "\n y = 0x");
517 BN_print_fp(stdout, y);
518 fprintf(stdout, "\n");
519 /* G_y value taken from the standard: */
520 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
521 if (0 != BN_cmp(y, z)) ABORT;
522
523 fprintf(stdout, "verify degree ...");
524 if (EC_GROUP_get_degree(group) != 256) ABORT;
525 fprintf(stdout, " ok\n");
526
527 group_order_tests(group);
528
529 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
530 if (!EC_GROUP_copy(P_256, group)) ABORT;
531
532
533 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
534
535 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
536 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
537 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
538 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
539 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
540 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
541 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
542 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
543
544 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
545 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
546 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
547 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
548 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
549 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
550 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
551
552 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
553 fprintf(stdout, "\nNIST curve P-384 -- 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(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
560 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
561 if (0 != BN_cmp(y, z)) ABORT;
562
563 fprintf(stdout, "verify degree ...");
564 if (EC_GROUP_get_degree(group) != 384) ABORT;
565 fprintf(stdout, " ok\n");
566
567 group_order_tests(group);
568
569 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
570 if (!EC_GROUP_copy(P_384, group)) ABORT;
571
572
573 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
574
575 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
576 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
577 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
578 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
579 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
580 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
581 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
582 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
583 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
584 "DF883D2C34F1EF451FD46B503F00")) ABORT;
585 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
586
587 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
588 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
589 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
590 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
591 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
592 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
593 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
594 "C9B8899C47AEBB6FB71E91386409")) ABORT;
595 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
596
597 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
598 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
599 BN_print_fp(stdout, x);
600 fprintf(stdout, "\n y = 0x");
601 BN_print_fp(stdout, y);
602 fprintf(stdout, "\n");
603 /* G_y value taken from the standard: */
604 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
605 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
606 "7086A272C24088BE94769FD16650")) ABORT;
607 if (0 != BN_cmp(y, z)) ABORT;
608
609 fprintf(stdout, "verify degree ...");
610 if (EC_GROUP_get_degree(group) != 521) ABORT;
611 fprintf(stdout, " ok\n");
612
613 group_order_tests(group);
614
615 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
616 if (!EC_GROUP_copy(P_521, group)) ABORT;
617
618
619 /* more tests using the last curve */
620
621 if (!EC_POINT_copy(Q, P)) ABORT;
622 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
623 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
624 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
625 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
626
627 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
628 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
629 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
630
631 {
632 const EC_POINT *points[4];
633 const BIGNUM *scalars[4];
634 BIGNUM scalar3;
635
636 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
637 points[0] = Q;
638 points[1] = Q;
639 points[2] = Q;
640 points[3] = Q;
641
642 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
643 if (!BN_add(y, z, BN_value_one())) ABORT;
644 if (BN_is_odd(y)) ABORT;
645 if (!BN_rshift1(y, y)) ABORT;
646 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
647 scalars[1] = y;
648
649 fprintf(stdout, "combined multiplication ...");
650 fflush(stdout);
651
652 /* z is still the group order */
653 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
654 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
655 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
656 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
657
658 fprintf(stdout, ".");
659 fflush(stdout);
660
661 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
662 if (!BN_add(z, z, y)) ABORT;
663 BN_set_negative(z, 1);
664 scalars[0] = y;
665 scalars[1] = z; /* z = -(order + y) */
666
667 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
668 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
669
670 fprintf(stdout, ".");
671 fflush(stdout);
672
673 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
674 if (!BN_add(z, x, y)) ABORT;
675 BN_set_negative(z, 1);
676 scalars[0] = x;
677 scalars[1] = y;
678 scalars[2] = z; /* z = -(x+y) */
679
680 BN_init(&scalar3);
681 BN_zero(&scalar3);
682 scalars[3] = &scalar3;
683
684 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
685 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
686
687 fprintf(stdout, " ok\n\n");
688
689 BN_free(&scalar3);
690 }
691
692
693#if 0
694 timings(P_160, TIMING_BASE_PT, ctx);
695 timings(P_160, TIMING_RAND_PT, ctx);
696 timings(P_160, TIMING_SIMUL, ctx);
697 timings(P_192, TIMING_BASE_PT, ctx);
698 timings(P_192, TIMING_RAND_PT, ctx);
699 timings(P_192, TIMING_SIMUL, ctx);
700 timings(P_224, TIMING_BASE_PT, ctx);
701 timings(P_224, TIMING_RAND_PT, ctx);
702 timings(P_224, TIMING_SIMUL, ctx);
703 timings(P_256, TIMING_BASE_PT, ctx);
704 timings(P_256, TIMING_RAND_PT, ctx);
705 timings(P_256, TIMING_SIMUL, ctx);
706 timings(P_384, TIMING_BASE_PT, ctx);
707 timings(P_384, TIMING_RAND_PT, ctx);
708 timings(P_384, TIMING_SIMUL, ctx);
709 timings(P_521, TIMING_BASE_PT, ctx);
710 timings(P_521, TIMING_RAND_PT, ctx);
711 timings(P_521, TIMING_SIMUL, ctx);
712#endif
713
714
715 if (ctx)
716 BN_CTX_free(ctx);
717 BN_free(p); BN_free(a); BN_free(b);
718 EC_GROUP_free(group);
719 EC_POINT_free(P);
720 EC_POINT_free(Q);
721 EC_POINT_free(R);
722 BN_free(x); BN_free(y); BN_free(z);
723
724 if (P_160) EC_GROUP_free(P_160);
725 if (P_192) EC_GROUP_free(P_192);
726 if (P_224) EC_GROUP_free(P_224);
727 if (P_256) EC_GROUP_free(P_256);
728 if (P_384) EC_GROUP_free(P_384);
729 if (P_521) EC_GROUP_free(P_521);
730
731 }
732
733/* Change test based on whether binary point compression is enabled or not. */
734#ifdef OPENSSL_EC_BIN_PT_COMP
735#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
736 if (!BN_hex2bn(&x, _x)) ABORT; \
737 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
738 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
739 if (!BN_hex2bn(&z, _order)) ABORT; \
740 if (!BN_hex2bn(&cof, _cof)) ABORT; \
741 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
742 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
743 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
744 BN_print_fp(stdout, x); \
745 fprintf(stdout, "\n y = 0x"); \
746 BN_print_fp(stdout, y); \
747 fprintf(stdout, "\n"); \
748 /* G_y value taken from the standard: */ \
749 if (!BN_hex2bn(&z, _y)) ABORT; \
750 if (0 != BN_cmp(y, z)) ABORT;
751#else
752#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
753 if (!BN_hex2bn(&x, _x)) ABORT; \
754 if (!BN_hex2bn(&y, _y)) ABORT; \
755 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
756 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
757 if (!BN_hex2bn(&z, _order)) ABORT; \
758 if (!BN_hex2bn(&cof, _cof)) ABORT; \
759 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
760 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
761 BN_print_fp(stdout, x); \
762 fprintf(stdout, "\n y = 0x"); \
763 BN_print_fp(stdout, y); \
764 fprintf(stdout, "\n");
765#endif
766
767#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
768 if (!BN_hex2bn(&p, _p)) ABORT; \
769 if (!BN_hex2bn(&a, _a)) ABORT; \
770 if (!BN_hex2bn(&b, _b)) ABORT; \
771 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
772 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
773 fprintf(stdout, "verify degree ..."); \
774 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
775 fprintf(stdout, " ok\n"); \
776 group_order_tests(group); \
777 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
778 if (!EC_GROUP_copy(_variable, group)) ABORT; \
779
780#ifndef OPENSSL_NO_EC2M
781
782static void char2_field_tests(void)
783 {
784 BN_CTX *ctx = NULL;
785 BIGNUM *p, *a, *b;
786 EC_GROUP *group;
787 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
788 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
789 EC_POINT *P, *Q, *R;
790 BIGNUM *x, *y, *z, *cof;
791 unsigned char buf[100];
792 size_t i, len;
793 int k;
794
795#if 1 /* optional */
796 ctx = BN_CTX_new();
797 if (!ctx) ABORT;
798#endif
799
800 p = BN_new();
801 a = BN_new();
802 b = BN_new();
803 if (!p || !a || !b) ABORT;
804
805 if (!BN_hex2bn(&p, "13")) ABORT;
806 if (!BN_hex2bn(&a, "3")) ABORT;
807 if (!BN_hex2bn(&b, "1")) ABORT;
808
809 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
810 * so that the library gets to choose the EC_METHOD */
811 if (!group) ABORT;
812 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
813
814 {
815 EC_GROUP *tmp;
816 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
817 if (!tmp) ABORT;
818 if (!EC_GROUP_copy(tmp, group)) ABORT;
819 EC_GROUP_free(group);
820 group = tmp;
821 }
822
823 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
824
825 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
826 BN_print_fp(stdout, p);
827 fprintf(stdout, ")\n a = 0x");
828 BN_print_fp(stdout, a);
829 fprintf(stdout, "\n b = 0x");
830 BN_print_fp(stdout, b);
831 fprintf(stdout, "\n(0x... means binary polynomial)\n");
832
833 P = EC_POINT_new(group);
834 Q = EC_POINT_new(group);
835 R = EC_POINT_new(group);
836 if (!P || !Q || !R) ABORT;
837
838 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
839 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
840
841 buf[0] = 0;
842 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
843
844 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
845 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
846
847 x = BN_new();
848 y = BN_new();
849 z = BN_new();
850 cof = BN_new();
851 if (!x || !y || !z || !cof) ABORT;
852
853 if (!BN_hex2bn(&x, "6")) ABORT;
854/* Change test based on whether binary point compression is enabled or not. */
855#ifdef OPENSSL_EC_BIN_PT_COMP
856 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
857#else
858 if (!BN_hex2bn(&y, "8")) ABORT;
859 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
860#endif
861 if (!EC_POINT_is_on_curve(group, Q, ctx))
862 {
863/* Change test based on whether binary point compression is enabled or not. */
864#ifdef OPENSSL_EC_BIN_PT_COMP
865 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
866#endif
867 fprintf(stderr, "Point is not on curve: x = 0x");
868 BN_print_fp(stderr, x);
869 fprintf(stderr, ", y = 0x");
870 BN_print_fp(stderr, y);
871 fprintf(stderr, "\n");
872 ABORT;
873 }
874
875 fprintf(stdout, "A cyclic subgroup:\n");
876 k = 100;
877 do
878 {
879 if (k-- == 0) ABORT;
880
881 if (EC_POINT_is_at_infinity(group, P))
882 fprintf(stdout, " point at infinity\n");
883 else
884 {
885 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
886
887 fprintf(stdout, " x = 0x");
888 BN_print_fp(stdout, x);
889 fprintf(stdout, ", y = 0x");
890 BN_print_fp(stdout, y);
891 fprintf(stdout, "\n");
892 }
893
894 if (!EC_POINT_copy(R, P)) ABORT;
895 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
896 }
897 while (!EC_POINT_is_at_infinity(group, P));
898
899 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
900 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
901
902/* Change test based on whether binary point compression is enabled or not. */
903#ifdef OPENSSL_EC_BIN_PT_COMP
904 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
905 if (len == 0) ABORT;
906 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
907 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
908 fprintf(stdout, "Generator as octet string, compressed form:\n ");
909 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
910#endif
911
912 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
913 if (len == 0) ABORT;
914 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
915 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
916 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
917 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
918
919/* Change test based on whether binary point compression is enabled or not. */
920#ifdef OPENSSL_EC_BIN_PT_COMP
921 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
922 if (len == 0) ABORT;
923 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
924 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
925 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
926 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
927#endif
928
929 fprintf(stdout, "\n");
930
931 if (!EC_POINT_invert(group, P, ctx)) ABORT;
932 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
933
934
935 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
936 CHAR2_CURVE_TEST
937 (
938 "NIST curve K-163",
939 "0800000000000000000000000000000000000000C9",
940 "1",
941 "1",
942 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
943 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
944 1,
945 "04000000000000000000020108A2E0CC0D99F8A5EF",
946 "2",
947 163,
948 C2_K163
949 );
950
951 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
952 CHAR2_CURVE_TEST
953 (
954 "NIST curve B-163",
955 "0800000000000000000000000000000000000000C9",
956 "1",
957 "020A601907B8C953CA1481EB10512F78744A3205FD",
958 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
959 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
960 1,
961 "040000000000000000000292FE77E70C12A4234C33",
962 "2",
963 163,
964 C2_B163
965 );
966
967 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
968 CHAR2_CURVE_TEST
969 (
970 "NIST curve K-233",
971 "020000000000000000000000000000000000000004000000000000000001",
972 "0",
973 "1",
974 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
975 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
976 0,
977 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
978 "4",
979 233,
980 C2_K233
981 );
982
983 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
984 CHAR2_CURVE_TEST
985 (
986 "NIST curve B-233",
987 "020000000000000000000000000000000000000004000000000000000001",
988 "000000000000000000000000000000000000000000000000000000000001",
989 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
990 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
991 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
992 1,
993 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
994 "2",
995 233,
996 C2_B233
997 );
998
999 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1000 CHAR2_CURVE_TEST
1001 (
1002 "NIST curve K-283",
1003 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1004 "0",
1005 "1",
1006 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1007 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1008 0,
1009 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1010 "4",
1011 283,
1012 C2_K283
1013 );
1014
1015 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1016 CHAR2_CURVE_TEST
1017 (
1018 "NIST curve B-283",
1019 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1020 "000000000000000000000000000000000000000000000000000000000000000000000001",
1021 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1022 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1023 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1024 1,
1025 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1026 "2",
1027 283,
1028 C2_B283
1029 );
1030
1031 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1032 CHAR2_CURVE_TEST
1033 (
1034 "NIST curve K-409",
1035 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1036 "0",
1037 "1",
1038 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1039 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1040 1,
1041 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1042 "4",
1043 409,
1044 C2_K409
1045 );
1046
1047 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1048 CHAR2_CURVE_TEST
1049 (
1050 "NIST curve B-409",
1051 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1052 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1053 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1054 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1055 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1056 1,
1057 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1058 "2",
1059 409,
1060 C2_B409
1061 );
1062
1063 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1064 CHAR2_CURVE_TEST
1065 (
1066 "NIST curve K-571",
1067 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1068 "0",
1069 "1",
1070 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1071 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1072 0,
1073 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1074 "4",
1075 571,
1076 C2_K571
1077 );
1078
1079 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1080 CHAR2_CURVE_TEST
1081 (
1082 "NIST curve B-571",
1083 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1084 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1085 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1086 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1087 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1088 1,
1089 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1090 "2",
1091 571,
1092 C2_B571
1093 );
1094
1095 /* more tests using the last curve */
1096
1097 if (!EC_POINT_copy(Q, P)) ABORT;
1098 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1099 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1100 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1101 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1102
1103 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1104 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1105 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1106
1107 {
1108 const EC_POINT *points[3];
1109 const BIGNUM *scalars[3];
1110
1111 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1112 points[0] = Q;
1113 points[1] = Q;
1114 points[2] = Q;
1115
1116 if (!BN_add(y, z, BN_value_one())) ABORT;
1117 if (BN_is_odd(y)) ABORT;
1118 if (!BN_rshift1(y, y)) ABORT;
1119 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1120 scalars[1] = y;
1121
1122 fprintf(stdout, "combined multiplication ...");
1123 fflush(stdout);
1124
1125 /* z is still the group order */
1126 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1127 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1128 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1129 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1130
1131 fprintf(stdout, ".");
1132 fflush(stdout);
1133
1134 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1135 if (!BN_add(z, z, y)) ABORT;
1136 BN_set_negative(z, 1);
1137 scalars[0] = y;
1138 scalars[1] = z; /* z = -(order + y) */
1139
1140 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1141 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1142
1143 fprintf(stdout, ".");
1144 fflush(stdout);
1145
1146 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1147 if (!BN_add(z, x, y)) ABORT;
1148 BN_set_negative(z, 1);
1149 scalars[0] = x;
1150 scalars[1] = y;
1151 scalars[2] = z; /* z = -(x+y) */
1152
1153 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1154 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1155
1156 fprintf(stdout, " ok\n\n");
1157 }
1158
1159
1160#if 0
1161 timings(C2_K163, TIMING_BASE_PT, ctx);
1162 timings(C2_K163, TIMING_RAND_PT, ctx);
1163 timings(C2_K163, TIMING_SIMUL, ctx);
1164 timings(C2_B163, TIMING_BASE_PT, ctx);
1165 timings(C2_B163, TIMING_RAND_PT, ctx);
1166 timings(C2_B163, TIMING_SIMUL, ctx);
1167 timings(C2_K233, TIMING_BASE_PT, ctx);
1168 timings(C2_K233, TIMING_RAND_PT, ctx);
1169 timings(C2_K233, TIMING_SIMUL, ctx);
1170 timings(C2_B233, TIMING_BASE_PT, ctx);
1171 timings(C2_B233, TIMING_RAND_PT, ctx);
1172 timings(C2_B233, TIMING_SIMUL, ctx);
1173 timings(C2_K283, TIMING_BASE_PT, ctx);
1174 timings(C2_K283, TIMING_RAND_PT, ctx);
1175 timings(C2_K283, TIMING_SIMUL, ctx);
1176 timings(C2_B283, TIMING_BASE_PT, ctx);
1177 timings(C2_B283, TIMING_RAND_PT, ctx);
1178 timings(C2_B283, TIMING_SIMUL, ctx);
1179 timings(C2_K409, TIMING_BASE_PT, ctx);
1180 timings(C2_K409, TIMING_RAND_PT, ctx);
1181 timings(C2_K409, TIMING_SIMUL, ctx);
1182 timings(C2_B409, TIMING_BASE_PT, ctx);
1183 timings(C2_B409, TIMING_RAND_PT, ctx);
1184 timings(C2_B409, TIMING_SIMUL, ctx);
1185 timings(C2_K571, TIMING_BASE_PT, ctx);
1186 timings(C2_K571, TIMING_RAND_PT, ctx);
1187 timings(C2_K571, TIMING_SIMUL, ctx);
1188 timings(C2_B571, TIMING_BASE_PT, ctx);
1189 timings(C2_B571, TIMING_RAND_PT, ctx);
1190 timings(C2_B571, TIMING_SIMUL, ctx);
1191#endif
1192
1193
1194 if (ctx)
1195 BN_CTX_free(ctx);
1196 BN_free(p); BN_free(a); BN_free(b);
1197 EC_GROUP_free(group);
1198 EC_POINT_free(P);
1199 EC_POINT_free(Q);
1200 EC_POINT_free(R);
1201 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1202
1203 if (C2_K163) EC_GROUP_free(C2_K163);
1204 if (C2_B163) EC_GROUP_free(C2_B163);
1205 if (C2_K233) EC_GROUP_free(C2_K233);
1206 if (C2_B233) EC_GROUP_free(C2_B233);
1207 if (C2_K283) EC_GROUP_free(C2_K283);
1208 if (C2_B283) EC_GROUP_free(C2_B283);
1209 if (C2_K409) EC_GROUP_free(C2_K409);
1210 if (C2_B409) EC_GROUP_free(C2_B409);
1211 if (C2_K571) EC_GROUP_free(C2_K571);
1212 if (C2_B571) EC_GROUP_free(C2_B571);
1213
1214 }
1215#endif
1216
1217static void internal_curve_test(void)
1218 {
1219 EC_builtin_curve *curves = NULL;
1220 size_t crv_len = 0, n = 0;
1221 int ok = 1;
1222
1223 crv_len = EC_get_builtin_curves(NULL, 0);
1224
1225 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1226
1227 if (curves == NULL)
1228 return;
1229
1230 if (!EC_get_builtin_curves(curves, crv_len))
1231 {
1232 OPENSSL_free(curves);
1233 return;
1234 }
1235
1236 fprintf(stdout, "testing internal curves: ");
1237
1238 for (n = 0; n < crv_len; n++)
1239 {
1240 EC_GROUP *group = NULL;
1241 int nid = curves[n].nid;
1242 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
1243 {
1244 ok = 0;
1245 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1246 " curve %s\n", OBJ_nid2sn(nid));
1247 /* try next curve */
1248 continue;
1249 }
1250 if (!EC_GROUP_check(group, NULL))
1251 {
1252 ok = 0;
1253 fprintf(stdout, "\nEC_GROUP_check() failed with"
1254 " curve %s\n", OBJ_nid2sn(nid));
1255 EC_GROUP_free(group);
1256 /* try the next curve */
1257 continue;
1258 }
1259 fprintf(stdout, ".");
1260 fflush(stdout);
1261 EC_GROUP_free(group);
1262 }
1263 if (ok)
1264 fprintf(stdout, " ok\n\n");
1265 else
1266 {
1267 fprintf(stdout, " failed\n\n");
1268 ABORT;
1269 }
1270 OPENSSL_free(curves);
1271 return;
1272 }
1273
1274#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1275/* nistp_test_params contains magic numbers for testing our optimized
1276 * implementations of several NIST curves with characteristic > 3. */
1277struct nistp_test_params
1278 {
1279 const EC_METHOD* (*meth) ();
1280 int degree;
1281 /* Qx, Qy and D are taken from
1282 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1283 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1284 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1285 };
1286
1287static const struct nistp_test_params nistp_tests_params[] =
1288 {
1289 {
1290 /* P-224 */
1291 EC_GFp_nistp224_method,
1292 224,
1293 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1294 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1295 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1296 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1297 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1298 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1299 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1300 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1301 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1302 },
1303 {
1304 /* P-256 */
1305 EC_GFp_nistp256_method,
1306 256,
1307 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1308 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1309 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1310 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1311 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1312 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1313 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1314 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1315 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1316 },
1317 {
1318 /* P-521 */
1319 EC_GFp_nistp521_method,
1320 521,
1321 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1322 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1323 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1324 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1325 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1326 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1327 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1328 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1329 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1330 },
1331 };
1332
1333void nistp_single_test(const struct nistp_test_params *test)
1334 {
1335 BN_CTX *ctx;
1336 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1337 EC_GROUP *NISTP;
1338 EC_POINT *G, *P, *Q, *Q_CHECK;
1339
1340 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1341 ctx = BN_CTX_new();
1342 p = BN_new();
1343 a = BN_new();
1344 b = BN_new();
1345 x = BN_new(); y = BN_new();
1346 m = BN_new(); n = BN_new(); order = BN_new();
1347
1348 NISTP = EC_GROUP_new(test->meth());
1349 if(!NISTP) ABORT;
1350 if (!BN_hex2bn(&p, test->p)) ABORT;
1351 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1352 if (!BN_hex2bn(&a, test->a)) ABORT;
1353 if (!BN_hex2bn(&b, test->b)) ABORT;
1354 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1355 G = EC_POINT_new(NISTP);
1356 P = EC_POINT_new(NISTP);
1357 Q = EC_POINT_new(NISTP);
1358 Q_CHECK = EC_POINT_new(NISTP);
1359 if(!BN_hex2bn(&x, test->Qx)) ABORT;
1360 if(!BN_hex2bn(&y, test->Qy)) ABORT;
1361 if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1362 if (!BN_hex2bn(&x, test->Gx)) ABORT;
1363 if (!BN_hex2bn(&y, test->Gy)) ABORT;
1364 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1365 if (!BN_hex2bn(&order, test->order)) ABORT;
1366 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1367
1368 fprintf(stdout, "verify degree ... ");
1369 if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
1370 fprintf(stdout, "ok\n");
1371
1372 fprintf(stdout, "NIST test vectors ... ");
1373 if (!BN_hex2bn(&n, test->d)) ABORT;
1374 /* fixed point multiplication */
1375 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1376 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1377 /* random point multiplication */
1378 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1379 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1380
1381 /* set generator to P = 2*G, where G is the standard generator */
1382 if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1383 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
1384 /* set the scalar to m=n/2, where n is the NIST test scalar */
1385 if (!BN_rshift(m, n, 1)) ABORT;
1386
1387 /* test the non-standard generator */
1388 /* fixed point multiplication */
1389 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1390 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1391 /* random point multiplication */
1392 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1393 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1394
1395 /* now repeat all tests with precomputation */
1396 if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
1397
1398 /* fixed point multiplication */
1399 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1400 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1401 /* random point multiplication */
1402 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1403 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1404
1405 /* reset generator */
1406 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1407 /* fixed point multiplication */
1408 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1409 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1410 /* random point multiplication */
1411 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1412 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1413
1414 fprintf(stdout, "ok\n");
1415 group_order_tests(NISTP);
1416#if 0
1417 timings(NISTP, TIMING_BASE_PT, ctx);
1418 timings(NISTP, TIMING_RAND_PT, ctx);
1419#endif
1420 EC_GROUP_free(NISTP);
1421 EC_POINT_free(G);
1422 EC_POINT_free(P);
1423 EC_POINT_free(Q);
1424 EC_POINT_free(Q_CHECK);
1425 BN_free(n);
1426 BN_free(m);
1427 BN_free(p);
1428 BN_free(a);
1429 BN_free(b);
1430 BN_free(x);
1431 BN_free(y);
1432 BN_free(order);
1433 BN_CTX_free(ctx);
1434 }
1435
1436void nistp_tests()
1437 {
1438 unsigned i;
1439
1440 for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1441 {
1442 nistp_single_test(&nistp_tests_params[i]);
1443 }
1444 }
1445#endif
1446
1447static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1448
1449int main(int argc, char *argv[])
1450 {
1451
1452 /* enable memory leak checking unless explicitly disabled */
1453 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1454 {
1455 CRYPTO_malloc_debug_init();
1456 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1457 }
1458 else
1459 {
1460 /* OPENSSL_DEBUG_MEMORY=off */
1461 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1462 }
1463 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1464 ERR_load_crypto_strings();
1465
1466 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1467
1468 prime_field_tests();
1469 puts("");
1470#ifndef OPENSSL_NO_EC2M
1471 char2_field_tests();
1472#endif
1473#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1474 nistp_tests();
1475#endif
1476 /* test the internal curves */
1477 internal_curve_test();
1478
1479#ifndef OPENSSL_NO_ENGINE
1480 ENGINE_cleanup();
1481#endif
1482 CRYPTO_cleanup_all_ex_data();
1483 ERR_free_strings();
1484 ERR_remove_thread_state(NULL);
1485 CRYPTO_mem_leaks_fp(stderr);
1486
1487 return 0;
1488 }
1489#endif
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-04-26 22:37:25 +0000