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[thirdparty/openssl.git] / crypto / ec / ectest.c
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62763f68 1/* crypto/ec/ectest.c */
35b73a1f
BM		 2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
62763f68
BM		 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 */
7793f30e
BM		 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 *
7793f30e
BM		 67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
62763f68 71
adfe54b7
BM		 72#include <stdio.h>
73#include <stdlib.h>
0bf23d9b
RL		 74#ifdef FLAT_INC
75#include "e_os.h"
76#else
b4b82ab4 77#include "../e_os.h"
0bf23d9b 78#endif
413a4a04 79#include <string.h>
48fe4d62 80#include <time.h>
adfe54b7 81
bb62a8b0
BM		 82
83#ifdef OPENSSL_NO_EC
84int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
85#else
86
87
62763f68 88#include <openssl/ec.h>
0b13e9f0 89#ifndef OPENSSL_NO_ENGINE
b8e2f83a 90#include <openssl/engine.h>
0b13e9f0 91#endif
adfe54b7 92#include <openssl/err.h>
7793f30e 93#include <openssl/obj_mac.h>
d742bd88 94#include <openssl/objects.h>
60a938c6 95#include <openssl/rand.h>
0f814687 96#include <openssl/bn.h>
e0d6132b 97#include <openssl/opensslconf.h>
adfe54b7 98
ff82bf3b 99#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058
AP		 100/* suppress "too big too optimize" warning */
101#pragma warning(disable:4959)
102#endif
103
adfe54b7 104#define ABORT do { \
48fe4d62 105 fflush(stdout); \
bb62a8b0 106 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7 107 ERR_print_errors_fp(stderr); \
55f78baf 108 EXIT(1); \
adfe54b7
BM		 109} while (0)
110
652ae06b
BM		 111#define TIMING_BASE_PT 0
112#define TIMING_RAND_PT 1
113#define TIMING_SIMUL 2
114
65ee74fb 115#if 0
652ae06b 116static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
48fe4d62
BM		 117 {
118 clock_t clck;
119 int i, j;
7793f30e
BM		 120 BIGNUM *s;
121 BIGNUM *r[10], *r0[10];
48fe4d62 122 EC_POINT *P;
48fe4d62
BM		 123
124 s = BN_new();
7793f30e 125 if (s == NULL) ABORT;
48fe4d62 126
7793f30e 127 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
48fe4d62 128 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
7793f30e 129 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 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
48fe4d62
BM		 136 for (i = 0; i < 10; i++)
137 {
7793f30e
BM		 138 if ((r[i] = BN_new()) == NULL) ABORT;
139 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
652ae06b 140 if (type != TIMING_BASE_PT)
48fe4d62 141 {
7793f30e
BM		 142 if ((r0[i] = BN_new()) == NULL) ABORT;
143 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
48fe4d62 144 }
7793f30e
BM		 145 }
146
147 clck = clock();
148 for (i = 0; i < 10; i++)
149 {
48fe4d62
BM		 150 for (j = 0; j < 10; j++)
151 {
652ae06b
BM		 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;
48fe4d62 154 }
48fe4d62 155 }
48fe4d62
BM		 156 clck = clock() - clck;
157
652ae06b
BM		 158 fprintf(stdout, "\n");
159
48fe4d62
BM		 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
48fe4d62
BM		 167# define UNIT "units"
168# define CLOCKS_PER_SEC 1
169#endif
170
652ae06b
BM		 171 if (type == TIMING_BASE_PT) {
172 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
173 "base point multiplications", (double)clck/CLOCKS_PER_SEC);
174 } else if (type == TIMING_RAND_PT) {
175 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
176 "random point multiplications", (double)clck/CLOCKS_PER_SEC);
177 } else if (type == TIMING_SIMUL) {
178 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
179 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
180 }
48fe4d62
BM		 181 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
182
183 EC_POINT_free(P);
184 BN_free(s);
7793f30e
BM		 185 for (i = 0; i < 10; i++)
186 {
187 BN_free(r[i]);
652ae06b 188 if (type != TIMING_BASE_PT) BN_free(r0[i]);
7793f30e 189 }
48fe4d62 190 }
65ee74fb 191#endif
48fe4d62 192
04daec86
BM		 193/* test multiplication with group order, long and negative scalars */
194static void group_order_tests(EC_GROUP *group)
195 {
196 BIGNUM *n1, *n2, *order;
197 EC_POINT *P = EC_POINT_new(group);
198 EC_POINT *Q = EC_POINT_new(group);
04daec86 199 BN_CTX *ctx = BN_CTX_new();
0fe73d6c 200 int i;
eb8ef241
BM		 201
202 n1 = BN_new(); n2 = BN_new(); order = BN_new();
04daec86
BM		 203 fprintf(stdout, "verify group order ...");
204 fflush(stdout);
205 if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
206 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
207 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
208 fprintf(stdout, ".");
209 fflush(stdout);
210 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
211 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
212 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
213 fprintf(stdout, " ok\n");
0fe73d6c
BM		 214 fprintf(stdout, "long/negative scalar tests ");
215 for (i = 1; i <= 2; i++)
216 {
217 const BIGNUM *scalars[6];
218 const EC_POINT *points[6];
219
220 fprintf(stdout, i == 1 ?
221 "allowing precomputation ... " :
222 "without precomputation ... ");
223 if (!BN_set_word(n1, i)) ABORT;
224 /* If i == 1, P will be the predefined generator for which
225 * EC_GROUP_precompute_mult has set up precomputation. */
226 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT;
227
228 if (!BN_one(n1)) ABORT;
229 /* n1 = 1 - order */
230 if (!BN_sub(n1, n1, order)) ABORT;
231 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
232 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
233
234 /* n2 = 1 + order */
235 if (!BN_add(n2, order, BN_value_one())) ABORT;
236 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
237 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
238
239 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
240 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
241 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
242 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
243
244 /* n2 = order^2 - 1 */
245 BN_set_negative(n2, 0);
246 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
247 /* Add P to verify the result. */
248 if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT;
249 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
250
251 /* Exercise EC_POINTs_mul, including corner cases. */
16602b5c 252 if (EC_POINT_is_at_infinity(group, P)) ABORT;
0fe73d6c
BM		 253 scalars[0] = n1; points[0] = Q; /* => infinity */
254 scalars[1] = n2; points[1] = P; /* => -P */
255 scalars[2] = n1; points[2] = Q; /* => infinity */
256 scalars[3] = n2; points[3] = Q; /* => infinity */
257 scalars[4] = n1; points[4] = P; /* => P */
258 scalars[5] = n2; points[5] = Q; /* => infinity */
16602b5c
BM		 259 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT;
260 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
0fe73d6c 261 }
04daec86 262 fprintf(stdout, "ok\n");
0fe73d6c 263
04daec86
BM		 264 EC_POINT_free(P);
265 EC_POINT_free(Q);
266 BN_free(n1);
267 BN_free(n2);
268 BN_free(order);
269 BN_CTX_free(ctx);
270 }
271
c13d7c02 272static void prime_field_tests(void)
3e00b4c9 273 {
bb62a8b0
BM		 274 BN_CTX *ctx = NULL;
275 BIGNUM *p, *a, *b;
adfe54b7 276 EC_GROUP *group;
652ae06b 277 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 278 EC_POINT *P, *Q, *R;
279 BIGNUM *x, *y, *z;
280 unsigned char buf[100];
281 size_t i, len;
63c43dcc 282 int k;
bb62a8b0 283
48fe4d62 284#if 1 /* optional */
bb62a8b0
BM		 285 ctx = BN_CTX_new();
286 if (!ctx) ABORT;
287#endif
288
289 p = BN_new();
290 a = BN_new();
291 b = BN_new();
292 if (!p || !a || !b) ABORT;
293
42909e39
BM		 294 if (!BN_hex2bn(&p, "17")) ABORT;
295 if (!BN_hex2bn(&a, "1")) ABORT;
296 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 297
48fe4d62
BM		 298 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
299 * so that the library gets to choose the EC_METHOD */
adfe54b7 300 if (!group) ABORT;
48fe4d62 301
156e8557 302 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 303
304 {
305 EC_GROUP *tmp;
306 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
307 if (!tmp) ABORT;
8215e7a9 308 if (!EC_GROUP_copy(tmp, group)) ABORT;
48fe4d62
BM		 309 EC_GROUP_free(group);
310 group = tmp;
311 }
312
156e8557 313 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 314
315 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
316 BN_print_fp(stdout, p);
317 fprintf(stdout, ")\n a = 0x");
318 BN_print_fp(stdout, a);
319 fprintf(stdout, "\n b = 0x");
320 BN_print_fp(stdout, b);
321 fprintf(stdout, "\n");
322
323 P = EC_POINT_new(group);
324 Q = EC_POINT_new(group);
325 R = EC_POINT_new(group);
326 if (!P || !Q || !R) ABORT;
327
328 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
329 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
330
331 buf[0] = 0;
332 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
333
334 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
335 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
336
337 x = BN_new();
338 y = BN_new();
339 z = BN_new();
340 if (!x || !y || !z) ABORT;
341
42909e39 342 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 343 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
344 if (!EC_POINT_is_on_curve(group, Q, ctx))
345 {
156e8557
BM		 346 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
347 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 348 BN_print_fp(stderr, x);
156e8557
BM		 349 fprintf(stderr, ", y = 0x");
350 BN_print_fp(stderr, y);
bb62a8b0
BM		 351 fprintf(stderr, "\n");
352 ABORT;
353 }
354
355 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 356 k = 100;
bb62a8b0
BM		 357 do
358 {
63c43dcc
BM		 359 if (k-- == 0) ABORT;
360
bb62a8b0
BM		 361 if (EC_POINT_is_at_infinity(group, P))
362 fprintf(stdout, " point at infinity\n");
363 else
364 {
365 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
366
367 fprintf(stdout, " x = 0x");
368 BN_print_fp(stdout, x);
369 fprintf(stdout, ", y = 0x");
370 BN_print_fp(stdout, y);
371 fprintf(stdout, "\n");
372 }
373
374 if (!EC_POINT_copy(R, P)) ABORT;
375 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
376
377#if 0 /* optional */
48fe4d62
BM		 378 {
379 EC_POINT *points[3];
380
381 points[0] = R;
382 points[1] = Q;
383 points[2] = P;
384 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
385 }
adfe54b7 386#endif
48fe4d62 387
bb62a8b0
BM		 388 }
389 while (!EC_POINT_is_at_infinity(group, P));
390
391 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
392 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 393
bb62a8b0
BM		 394 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
395 if (len == 0) ABORT;
396 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
397 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 398 fprintf(stdout, "Generator as octet string, compressed form:\n ");
bb62a8b0
BM		 399 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
400
401 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
402 if (len == 0) ABORT;
403 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
404 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 405 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
bb62a8b0
BM		 406 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
407
408 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
409 if (len == 0) ABORT;
410 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
411 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 412 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
bb62a8b0
BM		 413 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
414
415 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
416 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
417 BN_print_fp(stdout, x);
418 fprintf(stdout, ", Y = 0x");
419 BN_print_fp(stdout, y);
420 fprintf(stdout, ", Z = 0x");
421 BN_print_fp(stdout, z);
422 fprintf(stdout, "\n");
423
424 if (!EC_POINT_invert(group, P, ctx)) ABORT;
425 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
426
48fe4d62 427
652ae06b
BM		 428 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
429 * -- not a NIST curve, but commonly used */
430
431 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
432 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
433 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
434 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
435 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
436
437 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
438 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
439 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
440 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
441 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) 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, "\nSEC2 curve secp160r1 -- 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, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
452 if (0 != BN_cmp(y, z)) ABORT;
453
454 fprintf(stdout, "verify degree ...");
455 if (EC_GROUP_get_degree(group) != 160) ABORT;
456 fprintf(stdout, " ok\n");
457
04daec86 458 group_order_tests(group);
652ae06b
BM		 459
460 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
461 if (!EC_GROUP_copy(P_160, group)) ABORT;
462
463
48fe4d62
BM		 464 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
465
466 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 467 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 468 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
469 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
470 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
471
472 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
473 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
474 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
475 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) 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-192 -- 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, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
486 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 487
488 fprintf(stdout, "verify degree ...");
489 if (EC_GROUP_get_degree(group) != 192) ABORT;
490 fprintf(stdout, " ok\n");
48fe4d62 491
04daec86 492 group_order_tests(group);
48fe4d62
BM		 493
494 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
495 if (!EC_GROUP_copy(P_192, group)) ABORT;
496
497
498 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
499
500 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
e9224c71 501 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 502 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
503 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
504 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
505
506 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
507 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
508 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
509 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
510 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
511
512 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
513 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
514 BN_print_fp(stdout, x);
515 fprintf(stdout, "\n y = 0x");
516 BN_print_fp(stdout, y);
517 fprintf(stdout, "\n");
518 /* G_y value taken from the standard: */
519 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
520 if (0 != BN_cmp(y, z)) ABORT;
521
7793f30e
BM		 522 fprintf(stdout, "verify degree ...");
523 if (EC_GROUP_get_degree(group) != 224) ABORT;
524 fprintf(stdout, " ok\n");
525
04daec86 526 group_order_tests(group);
38374911 527
48fe4d62
BM		 528 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
529 if (!EC_GROUP_copy(P_224, group)) ABORT;
530
531
532 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
533
534 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 535 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 536 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
537 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
538 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
539
540 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
541 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
542 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
543 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
544 "84F3B9CAC2FC632551")) ABORT;
545 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
546
547 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
548 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
549 BN_print_fp(stdout, x);
550 fprintf(stdout, "\n y = 0x");
551 BN_print_fp(stdout, y);
552 fprintf(stdout, "\n");
553 /* G_y value taken from the standard: */
554 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
555 if (0 != BN_cmp(y, z)) ABORT;
556
7793f30e
BM		 557 fprintf(stdout, "verify degree ...");
558 if (EC_GROUP_get_degree(group) != 256) ABORT;
559 fprintf(stdout, " ok\n");
560
04daec86 561 group_order_tests(group);
38374911 562
48fe4d62
BM		 563 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
564 if (!EC_GROUP_copy(P_256, group)) ABORT;
565
566
567 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
568
569 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
570 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
e9224c71 571 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 572 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
573 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
574 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
575 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
576 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
577
578 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
579 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
580 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
581 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
582 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
583 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
584 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
585
586 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
587 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
588 BN_print_fp(stdout, x);
589 fprintf(stdout, "\n y = 0x");
590 BN_print_fp(stdout, y);
591 fprintf(stdout, "\n");
592 /* G_y value taken from the standard: */
593 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
594 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
595 if (0 != BN_cmp(y, z)) ABORT;
596
7793f30e
BM		 597 fprintf(stdout, "verify degree ...");
598 if (EC_GROUP_get_degree(group) != 384) ABORT;
599 fprintf(stdout, " ok\n");
04daec86
BM		 600
601 group_order_tests(group);
38374911 602
48fe4d62
BM		 603 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
604 if (!EC_GROUP_copy(P_384, group)) ABORT;
605
606
607 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
608
609 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
610 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
611 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 612 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 613 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
614 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
615 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
616 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
617 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
618 "DF883D2C34F1EF451FD46B503F00")) ABORT;
619 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
620
621 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
622 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
623 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
624 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
625 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
626 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
627 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
628 "C9B8899C47AEBB6FB71E91386409")) ABORT;
629 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
630
631 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
632 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
633 BN_print_fp(stdout, x);
634 fprintf(stdout, "\n y = 0x");
635 BN_print_fp(stdout, y);
636 fprintf(stdout, "\n");
637 /* G_y value taken from the standard: */
638 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
639 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
640 "7086A272C24088BE94769FD16650")) ABORT;
641 if (0 != BN_cmp(y, z)) ABORT;
642
7793f30e
BM		 643 fprintf(stdout, "verify degree ...");
644 if (EC_GROUP_get_degree(group) != 521) ABORT;
645 fprintf(stdout, " ok\n");
04daec86
BM		 646
647 group_order_tests(group);
48fe4d62
BM		 648
649 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
650 if (!EC_GROUP_copy(P_521, group)) ABORT;
651
652
653 /* more tests using the last curve */
654
655 if (!EC_POINT_copy(Q, P)) ABORT;
656 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
657 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
658 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
659 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
660
661 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
662 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
663 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
664
665 {
19f6c524
BM		 666 const EC_POINT *points[4];
667 const BIGNUM *scalars[4];
5784a521 668 BIGNUM *scalar3;
48fe4d62
BM		 669
670 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 671 points[0] = Q;
672 points[1] = Q;
673 points[2] = Q;
19f6c524 674 points[3] = Q;
48fe4d62 675
04daec86 676 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
48fe4d62
BM		 677 if (!BN_add(y, z, BN_value_one())) ABORT;
678 if (BN_is_odd(y)) ABORT;
679 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 680 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
681 scalars[1] = y;
682
9c10b2c8 683 fprintf(stdout, "combined multiplication ...");
616df356 684 fflush(stdout);
48fe4d62
BM		 685
686 /* z is still the group order */
687 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
688 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
689 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
690 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
691
86a921af
BM		 692 fprintf(stdout, ".");
693 fflush(stdout);
694
695 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 696 if (!BN_add(z, z, y)) ABORT;
ff22e913 697 BN_set_negative(z, 1);
86a921af 698 scalars[0] = y;
752938da 699 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 700
701 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
702 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
703
38374911
BM		 704 fprintf(stdout, ".");
705 fflush(stdout);
706
707 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
708 if (!BN_add(z, x, y)) ABORT;
ff22e913 709 BN_set_negative(z, 1);
38374911
BM		 710 scalars[0] = x;
711 scalars[1] = y;
712 scalars[2] = z; /* z = -(x+y) */
713
5784a521
MC		 714 scalar3 = BN_new();
715 if(!scalar3) ABORT;
716 BN_zero(scalar3);
717 scalars[3] = scalar3;
19f6c524
BM		 718
719 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
38374911
BM		 720 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
721
86a921af 722 fprintf(stdout, " ok\n\n");
19f6c524 723
5784a521 724 BN_free(scalar3);
48fe4d62
BM		 725 }
726
727
1226c472 728#if 0
652ae06b
BM		 729 timings(P_160, TIMING_BASE_PT, ctx);
730 timings(P_160, TIMING_RAND_PT, ctx);
731 timings(P_160, TIMING_SIMUL, ctx);
732 timings(P_192, TIMING_BASE_PT, ctx);
733 timings(P_192, TIMING_RAND_PT, ctx);
734 timings(P_192, TIMING_SIMUL, ctx);
735 timings(P_224, TIMING_BASE_PT, ctx);
736 timings(P_224, TIMING_RAND_PT, ctx);
737 timings(P_224, TIMING_SIMUL, ctx);
738 timings(P_256, TIMING_BASE_PT, ctx);
739 timings(P_256, TIMING_RAND_PT, ctx);
740 timings(P_256, TIMING_SIMUL, ctx);
741 timings(P_384, TIMING_BASE_PT, ctx);
742 timings(P_384, TIMING_RAND_PT, ctx);
743 timings(P_384, TIMING_SIMUL, ctx);
744 timings(P_521, TIMING_BASE_PT, ctx);
745 timings(P_521, TIMING_RAND_PT, ctx);
746 timings(P_521, TIMING_SIMUL, ctx);
48fe4d62
BM		 747#endif
748
bb62a8b0
BM		 749
750 if (ctx)
751 BN_CTX_free(ctx);
752 BN_free(p); BN_free(a); BN_free(b);
753 EC_GROUP_free(group);
754 EC_POINT_free(P);
755 EC_POINT_free(Q);
756 EC_POINT_free(R);
757 BN_free(x); BN_free(y); BN_free(z);
758
652ae06b 759 if (P_160) EC_GROUP_free(P_160);
48fe4d62
BM		 760 if (P_192) EC_GROUP_free(P_192);
761 if (P_224) EC_GROUP_free(P_224);
762 if (P_256) EC_GROUP_free(P_256);
763 if (P_384) EC_GROUP_free(P_384);
764 if (P_521) EC_GROUP_free(P_521);
765
7793f30e
BM		 766 }
767
768/* Change test based on whether binary point compression is enabled or not. */
769#ifdef OPENSSL_EC_BIN_PT_COMP
770#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
771 if (!BN_hex2bn(&x, _x)) ABORT; \
772 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
773 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
774 if (!BN_hex2bn(&z, _order)) ABORT; \
775 if (!BN_hex2bn(&cof, _cof)) ABORT; \
776 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
777 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
778 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
779 BN_print_fp(stdout, x); \
780 fprintf(stdout, "\n y = 0x"); \
781 BN_print_fp(stdout, y); \
782 fprintf(stdout, "\n"); \
783 /* G_y value taken from the standard: */ \
784 if (!BN_hex2bn(&z, _y)) ABORT; \
785 if (0 != BN_cmp(y, z)) ABORT;
786#else
787#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
788 if (!BN_hex2bn(&x, _x)) ABORT; \
789 if (!BN_hex2bn(&y, _y)) ABORT; \
790 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
791 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
792 if (!BN_hex2bn(&z, _order)) ABORT; \
793 if (!BN_hex2bn(&cof, _cof)) ABORT; \
794 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
795 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
796 BN_print_fp(stdout, x); \
797 fprintf(stdout, "\n y = 0x"); \
798 BN_print_fp(stdout, y); \
799 fprintf(stdout, "\n");
800#endif
801
802#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
803 if (!BN_hex2bn(&p, _p)) ABORT; \
804 if (!BN_hex2bn(&a, _a)) ABORT; \
805 if (!BN_hex2bn(&b, _b)) ABORT; \
806 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
807 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
808 fprintf(stdout, "verify degree ..."); \
809 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
810 fprintf(stdout, " ok\n"); \
04daec86 811 group_order_tests(group); \
7793f30e 812 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
04daec86
BM		 813 if (!EC_GROUP_copy(_variable, group)) ABORT; \
814
b3310161 815#ifndef OPENSSL_NO_EC2M
7793f30e 816
c13d7c02 817static void char2_field_tests(void)
b3310161 818 {
7793f30e
BM		 819 BN_CTX *ctx = NULL;
820 BIGNUM *p, *a, *b;
821 EC_GROUP *group;
822 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
823 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
824 EC_POINT *P, *Q, *R;
825 BIGNUM *x, *y, *z, *cof;
826 unsigned char buf[100];
827 size_t i, len;
828 int k;
829
830#if 1 /* optional */
831 ctx = BN_CTX_new();
832 if (!ctx) ABORT;
833#endif
834
835 p = BN_new();
836 a = BN_new();
837 b = BN_new();
838 if (!p || !a || !b) ABORT;
839
840 if (!BN_hex2bn(&p, "13")) ABORT;
841 if (!BN_hex2bn(&a, "3")) ABORT;
842 if (!BN_hex2bn(&b, "1")) ABORT;
843
848c8495
BM		 844 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
845 * so that the library gets to choose the EC_METHOD */
7793f30e
BM		 846 if (!group) ABORT;
847 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
848
849 {
850 EC_GROUP *tmp;
851 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
852 if (!tmp) ABORT;
8215e7a9 853 if (!EC_GROUP_copy(tmp, group)) ABORT;
7793f30e
BM		 854 EC_GROUP_free(group);
855 group = tmp;
856 }
857
858 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
859
860 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
861 BN_print_fp(stdout, p);
862 fprintf(stdout, ")\n a = 0x");
863 BN_print_fp(stdout, a);
864 fprintf(stdout, "\n b = 0x");
865 BN_print_fp(stdout, b);
848c8495 866 fprintf(stdout, "\n(0x... means binary polynomial)\n");
7793f30e
BM		 867
868 P = EC_POINT_new(group);
869 Q = EC_POINT_new(group);
870 R = EC_POINT_new(group);
871 if (!P || !Q || !R) ABORT;
872
873 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
874 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
875
876 buf[0] = 0;
877 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
878
879 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
880 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
881
882 x = BN_new();
883 y = BN_new();
884 z = BN_new();
885 cof = BN_new();
886 if (!x || !y || !z || !cof) ABORT;
887
888 if (!BN_hex2bn(&x, "6")) ABORT;
889/* Change test based on whether binary point compression is enabled or not. */
890#ifdef OPENSSL_EC_BIN_PT_COMP
891 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
892#else
893 if (!BN_hex2bn(&y, "8")) ABORT;
894 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
895#endif
896 if (!EC_POINT_is_on_curve(group, Q, ctx))
897 {
898/* Change test based on whether binary point compression is enabled or not. */
899#ifdef OPENSSL_EC_BIN_PT_COMP
900 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
901#endif
902 fprintf(stderr, "Point is not on curve: x = 0x");
903 BN_print_fp(stderr, x);
904 fprintf(stderr, ", y = 0x");
905 BN_print_fp(stderr, y);
906 fprintf(stderr, "\n");
907 ABORT;
908 }
909
910 fprintf(stdout, "A cyclic subgroup:\n");
911 k = 100;
912 do
913 {
914 if (k-- == 0) ABORT;
915
916 if (EC_POINT_is_at_infinity(group, P))
917 fprintf(stdout, " point at infinity\n");
918 else
919 {
920 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
921
922 fprintf(stdout, " x = 0x");
923 BN_print_fp(stdout, x);
924 fprintf(stdout, ", y = 0x");
925 BN_print_fp(stdout, y);
926 fprintf(stdout, "\n");
927 }
928
929 if (!EC_POINT_copy(R, P)) ABORT;
930 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
931 }
932 while (!EC_POINT_is_at_infinity(group, P));
933
934 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
935 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
936
937/* Change test based on whether binary point compression is enabled or not. */
938#ifdef OPENSSL_EC_BIN_PT_COMP
939 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
940 if (len == 0) ABORT;
941 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
942 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
943 fprintf(stdout, "Generator as octet string, compressed form:\n ");
944 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
945#endif
946
947 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
948 if (len == 0) ABORT;
949 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
950 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
951 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
952 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
953
954/* Change test based on whether binary point compression is enabled or not. */
955#ifdef OPENSSL_EC_BIN_PT_COMP
956 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
957 if (len == 0) ABORT;
958 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
959 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
960 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
961 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
962#endif
963
964 fprintf(stdout, "\n");
965
966 if (!EC_POINT_invert(group, P, ctx)) ABORT;
967 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
968
969
970 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
971 CHAR2_CURVE_TEST
972 (
973 "NIST curve K-163",
974 "0800000000000000000000000000000000000000C9",
975 "1",
976 "1",
977 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
978 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
979 1,
980 "04000000000000000000020108A2E0CC0D99F8A5EF",
981 "2",
982 163,
983 C2_K163
984 );
985
986 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
987 CHAR2_CURVE_TEST
988 (
989 "NIST curve B-163",
990 "0800000000000000000000000000000000000000C9",
991 "1",
992 "020A601907B8C953CA1481EB10512F78744A3205FD",
993 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
994 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
995 1,
996 "040000000000000000000292FE77E70C12A4234C33",
997 "2",
998 163,
999 C2_B163
1000 );
1001
1002 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1003 CHAR2_CURVE_TEST
1004 (
1005 "NIST curve K-233",
1006 "020000000000000000000000000000000000000004000000000000000001",
1007 "0",
1008 "1",
1009 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1010 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1011 0,
1012 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1013 "4",
1014 233,
1015 C2_K233
1016 );
1017
1018 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1019 CHAR2_CURVE_TEST
1020 (
1021 "NIST curve B-233",
1022 "020000000000000000000000000000000000000004000000000000000001",
1023 "000000000000000000000000000000000000000000000000000000000001",
1024 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1025 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1026 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1027 1,
1028 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1029 "2",
1030 233,
1031 C2_B233
1032 );
1033
1034 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1035 CHAR2_CURVE_TEST
1036 (
1037 "NIST curve K-283",
1038 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1039 "0",
1040 "1",
1041 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1042 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1043 0,
1044 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1045 "4",
1046 283,
1047 C2_K283
1048 );
1049
1050 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1051 CHAR2_CURVE_TEST
1052 (
1053 "NIST curve B-283",
1054 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1055 "000000000000000000000000000000000000000000000000000000000000000000000001",
1056 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1057 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1058 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1059 1,
1060 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1061 "2",
1062 283,
1063 C2_B283
1064 );
1065
1066 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1067 CHAR2_CURVE_TEST
1068 (
1069 "NIST curve K-409",
1070 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1071 "0",
1072 "1",
1073 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1074 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1075 1,
1076 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1077 "4",
1078 409,
1079 C2_K409
1080 );
1081
1082 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1083 CHAR2_CURVE_TEST
1084 (
1085 "NIST curve B-409",
1086 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1087 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1088 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1089 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1090 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1091 1,
1092 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1093 "2",
1094 409,
1095 C2_B409
1096 );
1097
1098 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1099 CHAR2_CURVE_TEST
1100 (
1101 "NIST curve K-571",
1102 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1103 "0",
1104 "1",
1105 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1106 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1107 0,
1108 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1109 "4",
1110 571,
1111 C2_K571
1112 );
1113
1114 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1115 CHAR2_CURVE_TEST
1116 (
1117 "NIST curve B-571",
1118 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1119 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1120 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1121 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1122 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1123 1,
1124 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1125 "2",
1126 571,
1127 C2_B571
1128 );
1129
1130 /* more tests using the last curve */
1131
1132 if (!EC_POINT_copy(Q, P)) ABORT;
1133 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1134 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1135 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1136 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1137
1138 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1139 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1140 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1141
1142 {
1143 const EC_POINT *points[3];
1144 const BIGNUM *scalars[3];
1145
1146 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1147 points[0] = Q;
1148 points[1] = Q;
1149 points[2] = Q;
1150
1151 if (!BN_add(y, z, BN_value_one())) ABORT;
1152 if (BN_is_odd(y)) ABORT;
1153 if (!BN_rshift1(y, y)) ABORT;
1154 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1155 scalars[1] = y;
1156
1157 fprintf(stdout, "combined multiplication ...");
1158 fflush(stdout);
1159
1160 /* z is still the group order */
1161 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1162 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1163 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1164 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1165
1166 fprintf(stdout, ".");
1167 fflush(stdout);
1168
1169 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1170 if (!BN_add(z, z, y)) ABORT;
ff22e913 1171 BN_set_negative(z, 1);
7793f30e
BM		 1172 scalars[0] = y;
1173 scalars[1] = z; /* z = -(order + y) */
1174
1175 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1176 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1177
1178 fprintf(stdout, ".");
1179 fflush(stdout);
1180
1181 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1182 if (!BN_add(z, x, y)) ABORT;
ff22e913 1183 BN_set_negative(z, 1);
7793f30e
BM		 1184 scalars[0] = x;
1185 scalars[1] = y;
1186 scalars[2] = z; /* z = -(x+y) */
1187
1188 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1189 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1190
1191 fprintf(stdout, " ok\n\n");
1192 }
1193
1194
1195#if 0
652ae06b
BM		 1196 timings(C2_K163, TIMING_BASE_PT, ctx);
1197 timings(C2_K163, TIMING_RAND_PT, ctx);
1198 timings(C2_K163, TIMING_SIMUL, ctx);
1199 timings(C2_B163, TIMING_BASE_PT, ctx);
1200 timings(C2_B163, TIMING_RAND_PT, ctx);
1201 timings(C2_B163, TIMING_SIMUL, ctx);
1202 timings(C2_K233, TIMING_BASE_PT, ctx);
1203 timings(C2_K233, TIMING_RAND_PT, ctx);
1204 timings(C2_K233, TIMING_SIMUL, ctx);
1205 timings(C2_B233, TIMING_BASE_PT, ctx);
1206 timings(C2_B233, TIMING_RAND_PT, ctx);
1207 timings(C2_B233, TIMING_SIMUL, ctx);
1208 timings(C2_K283, TIMING_BASE_PT, ctx);
1209 timings(C2_K283, TIMING_RAND_PT, ctx);
1210 timings(C2_K283, TIMING_SIMUL, ctx);
1211 timings(C2_B283, TIMING_BASE_PT, ctx);
1212 timings(C2_B283, TIMING_RAND_PT, ctx);
1213 timings(C2_B283, TIMING_SIMUL, ctx);
1214 timings(C2_K409, TIMING_BASE_PT, ctx);
1215 timings(C2_K409, TIMING_RAND_PT, ctx);
1216 timings(C2_K409, TIMING_SIMUL, ctx);
1217 timings(C2_B409, TIMING_BASE_PT, ctx);
1218 timings(C2_B409, TIMING_RAND_PT, ctx);
1219 timings(C2_B409, TIMING_SIMUL, ctx);
1220 timings(C2_K571, TIMING_BASE_PT, ctx);
1221 timings(C2_K571, TIMING_RAND_PT, ctx);
1222 timings(C2_K571, TIMING_SIMUL, ctx);
1223 timings(C2_B571, TIMING_BASE_PT, ctx);
1224 timings(C2_B571, TIMING_RAND_PT, ctx);
1225 timings(C2_B571, TIMING_SIMUL, ctx);
7793f30e
BM		 1226#endif
1227
1228
1229 if (ctx)
1230 BN_CTX_free(ctx);
1231 BN_free(p); BN_free(a); BN_free(b);
1232 EC_GROUP_free(group);
1233 EC_POINT_free(P);
1234 EC_POINT_free(Q);
1235 EC_POINT_free(R);
1236 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1237
1238 if (C2_K163) EC_GROUP_free(C2_K163);
1239 if (C2_B163) EC_GROUP_free(C2_B163);
1240 if (C2_K233) EC_GROUP_free(C2_K233);
1241 if (C2_B233) EC_GROUP_free(C2_B233);
1242 if (C2_K283) EC_GROUP_free(C2_K283);
1243 if (C2_B283) EC_GROUP_free(C2_B283);
1244 if (C2_K409) EC_GROUP_free(C2_K409);
1245 if (C2_B409) EC_GROUP_free(C2_B409);
1246 if (C2_K571) EC_GROUP_free(C2_K571);
1247 if (C2_B571) EC_GROUP_free(C2_B571);
1248
1249 }
b3310161 1250#endif
7793f30e 1251
5df2a249 1252static void internal_curve_test(void)
d742bd88
BM		 1253 {
1254 EC_builtin_curve *curves = NULL;
1255 size_t crv_len = 0, n = 0;
1256 int ok = 1;
1257
1258 crv_len = EC_get_builtin_curves(NULL, 0);
1259
1260 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1261
1262 if (curves == NULL)
1263 return;
1264
1265 if (!EC_get_builtin_curves(curves, crv_len))
1266 {
1267 OPENSSL_free(curves);
1268 return;
1269 }
1270
1271 fprintf(stdout, "testing internal curves: ");
1272
1273 for (n = 0; n < crv_len; n++)
1274 {
1275 EC_GROUP *group = NULL;
1276 int nid = curves[n].nid;
8b15c740 1277 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
d742bd88
BM		 1278 {
1279 ok = 0;
8b15c740 1280 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
d742bd88
BM		 1281 " curve %s\n", OBJ_nid2sn(nid));
1282 /* try next curve */
1283 continue;
1284 }
1285 if (!EC_GROUP_check(group, NULL))
1286 {
1287 ok = 0;
1288 fprintf(stdout, "\nEC_GROUP_check() failed with"
1289 " curve %s\n", OBJ_nid2sn(nid));
1290 EC_GROUP_free(group);
1291 /* try the next curve */
1292 continue;
1293 }
1294 fprintf(stdout, ".");
1295 fflush(stdout);
1296 EC_GROUP_free(group);
1297 }
1298 if (ok)
04daec86 1299 fprintf(stdout, " ok\n\n");
d742bd88 1300 else
3e00b4c9 1301 {
04daec86 1302 fprintf(stdout, " failed\n\n");
3e00b4c9
BM		 1303 ABORT;
1304 }
d742bd88
BM		 1305 OPENSSL_free(curves);
1306 return;
1307 }
1308
e0d6132b 1309#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
3e00b4c9
BM		 1310/* nistp_test_params contains magic numbers for testing our optimized
1311 * implementations of several NIST curves with characteristic > 3. */
1312struct nistp_test_params
1313 {
1314 const EC_METHOD* (*meth) ();
1315 int degree;
1316 /* Qx, Qy and D are taken from
1317 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1318 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1319 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1320 };
1321
1322static const struct nistp_test_params nistp_tests_params[] =
1323 {
1324 {
1325 /* P-224 */
1326 EC_GFp_nistp224_method,
1327 224,
b853717f
MC		 1328 /* p */
1329 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1330 /* a */
1331 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1332 /* b */
1333 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1334 /* Qx */
1335 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1336 /* Qy */
1337 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1338 /* Gx */
1339 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1340 /* Gy */
1341 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1342 /* order */
1343 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1344 /* d */
1345 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
3e00b4c9
BM		 1346 },
1347 {
1348 /* P-256 */
1349 EC_GFp_nistp256_method,
1350 256,
b853717f
MC		 1351 /* p */
1352 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1353 /* a */
1354 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1355 /* b */
1356 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1357 /* Qx */
1358 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1359 /* Qy */
1360 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1361 /* Gx */
1362 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1363 /* Gy */
1364 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1365 /* order */
1366 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1367 /* d */
1368 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
3e00b4c9
BM		 1369 },
1370 {
1371 /* P-521 */
1372 EC_GFp_nistp521_method,
1373 521,
b853717f
MC		 1374 /* p */
1375 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1376 /* a */
1377 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1378 /* b */
1379 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1380 /* Qx */
1381 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1382 /* Qy */
1383 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1384 /* Gx */
1385 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1386 /* Gy */
1387 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1388 /* order */
1389 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1390 /* d */
1391 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
3e00b4c9
BM		 1392 },
1393 };
1394
b597aab8 1395static void nistp_single_test(const struct nistp_test_params *test)
04daec86 1396 {
e0d6132b 1397 BN_CTX *ctx;
04daec86 1398 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
e0d6132b
BM		 1399 EC_GROUP *NISTP;
1400 EC_POINT *G, *P, *Q, *Q_CHECK;
1401
1402 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1403 ctx = BN_CTX_new();
04daec86
BM		 1404 p = BN_new();
1405 a = BN_new();
1406 b = BN_new();
1407 x = BN_new(); y = BN_new();
1408 m = BN_new(); n = BN_new(); order = BN_new();
eb8ef241 1409
3e00b4c9
BM		 1410 NISTP = EC_GROUP_new(test->meth());
1411 if(!NISTP) ABORT;
1412 if (!BN_hex2bn(&p, test->p)) ABORT;
04daec86 1413 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
3e00b4c9
BM		 1414 if (!BN_hex2bn(&a, test->a)) ABORT;
1415 if (!BN_hex2bn(&b, test->b)) ABORT;
1416 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1417 G = EC_POINT_new(NISTP);
1418 P = EC_POINT_new(NISTP);
1419 Q = EC_POINT_new(NISTP);
1420 Q_CHECK = EC_POINT_new(NISTP);
1421 if(!BN_hex2bn(&x, test->Qx)) ABORT;
1422 if(!BN_hex2bn(&y, test->Qy)) ABORT;
1423 if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1424 if (!BN_hex2bn(&x, test->Gx)) ABORT;
1425 if (!BN_hex2bn(&y, test->Gy)) ABORT;
1426 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1427 if (!BN_hex2bn(&order, test->order)) ABORT;
1428 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
04daec86
BM		 1429
1430 fprintf(stdout, "verify degree ... ");
3e00b4c9 1431 if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
04daec86
BM		 1432 fprintf(stdout, "ok\n");
1433
1434 fprintf(stdout, "NIST test vectors ... ");
3e00b4c9 1435 if (!BN_hex2bn(&n, test->d)) ABORT;
04daec86 1436 /* fixed point multiplication */
3e00b4c9
BM		 1437 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1438 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1439 /* random point multiplication */
3e00b4c9
BM		 1440 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1441 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1442
1443 /* set generator to P = 2*G, where G is the standard generator */
3e00b4c9
BM		 1444 if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1445 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
04daec86
BM		 1446 /* set the scalar to m=n/2, where n is the NIST test scalar */
1447 if (!BN_rshift(m, n, 1)) ABORT;
1448
1449 /* test the non-standard generator */
1450 /* fixed point multiplication */
3e00b4c9
BM		 1451 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1452 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1453 /* random point multiplication */
3e00b4c9
BM		 1454 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1455 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1456
1457 /* now repeat all tests with precomputation */
3e00b4c9 1458 if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
04daec86
BM		 1459
1460 /* fixed point multiplication */
3e00b4c9
BM		 1461 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1462 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1463 /* random point multiplication */
3e00b4c9
BM		 1464 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1465 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1466
1467 /* reset generator */
3e00b4c9 1468 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
04daec86 1469 /* fixed point multiplication */
3e00b4c9
BM		 1470 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1471 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1472 /* random point multiplication */
3e00b4c9
BM		 1473 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1474 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1475
1476 fprintf(stdout, "ok\n");
3e00b4c9 1477 group_order_tests(NISTP);
04daec86 1478#if 0
3e00b4c9
BM		 1479 timings(NISTP, TIMING_BASE_PT, ctx);
1480 timings(NISTP, TIMING_RAND_PT, ctx);
04daec86 1481#endif
3e00b4c9 1482 EC_GROUP_free(NISTP);
04daec86
BM		 1483 EC_POINT_free(G);
1484 EC_POINT_free(P);
1485 EC_POINT_free(Q);
1486 EC_POINT_free(Q_CHECK);
1487 BN_free(n);
1488 BN_free(m);
1489 BN_free(p);
1490 BN_free(a);
1491 BN_free(b);
1492 BN_free(x);
1493 BN_free(y);
1494 BN_free(order);
1495 BN_CTX_free(ctx);
1496 }
3e00b4c9 1497
b597aab8 1498static void nistp_tests()
3e00b4c9
BM		 1499 {
1500 unsigned i;
1501
1502 for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1503 {
1504 nistp_single_test(&nistp_tests_params[i]);
1505 }
1506 }
04daec86
BM		 1507#endif
1508
7793f30e
BM		 1509static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1510
1511int main(int argc, char *argv[])
1512 {
1513
1514 /* enable memory leak checking unless explicitly disabled */
1515 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1516 {
1517 CRYPTO_malloc_debug_init();
1518 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1519 }
1520 else
1521 {
1522 /* OPENSSL_DEBUG_MEMORY=off */
1523 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1524 }
1525 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1526 ERR_load_crypto_strings();
1527
1528 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1529
1530 prime_field_tests();
848c8495 1531 puts("");
b3310161 1532#ifndef OPENSSL_NO_EC2M
7793f30e 1533 char2_field_tests();
b3310161 1534#endif
e0d6132b 1535#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
3e00b4c9 1536 nistp_tests();
04daec86 1537#endif
d742bd88
BM		 1538 /* test the internal curves */
1539 internal_curve_test();
7793f30e 1540
0b13e9f0 1541#ifndef OPENSSL_NO_ENGINE
b8e2f83a 1542 ENGINE_cleanup();
0b13e9f0 1543#endif
79aa04ef 1544 CRYPTO_cleanup_all_ex_data();
bb62a8b0 1545 ERR_free_strings();
4c329696 1546 ERR_remove_thread_state(NULL);
bb62a8b0
BM		 1547 CRYPTO_mem_leaks_fp(stderr);
1548
adfe54b7
BM		 1549 return 0;
1550 }
bb62a8b0 1551#endif
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