]> git.ipfire.org Git - thirdparty/openssl.git/blame - crypto/ec/ectest.c
projects / thirdparty / openssl.git / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | blame (incremental) | history | HEAD
fipssyms.h: assign alias to newly introduced bn_gather5.
[thirdparty/openssl.git] / crypto / ec / ectest.c
CommitLineData
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>
adfe54b7 97
ff82bf3b 98#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058
AP		 99/* suppress "too big too optimize" warning */
100#pragma warning(disable:4959)
101#endif
102
adfe54b7 103#define ABORT do { \
48fe4d62 104 fflush(stdout); \
bb62a8b0 105 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7 106 ERR_print_errors_fp(stderr); \
55f78baf 107 EXIT(1); \
adfe54b7
BM		 108} while (0)
109
652ae06b
BM		 110#define TIMING_BASE_PT 0
111#define TIMING_RAND_PT 1
112#define TIMING_SIMUL 2
113
65ee74fb 114#if 0
652ae06b 115static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
48fe4d62
BM		 116 {
117 clock_t clck;
118 int i, j;
7793f30e
BM		 119 BIGNUM *s;
120 BIGNUM *r[10], *r0[10];
48fe4d62 121 EC_POINT *P;
48fe4d62
BM		 122
123 s = BN_new();
7793f30e 124 if (s == NULL) ABORT;
48fe4d62 125
7793f30e 126 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
48fe4d62 127 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
7793f30e 128 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 129 fflush(stdout);
130
131 P = EC_POINT_new(group);
132 if (P == NULL) ABORT;
133 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
134
48fe4d62
BM		 135 for (i = 0; i < 10; i++)
136 {
7793f30e
BM		 137 if ((r[i] = BN_new()) == NULL) ABORT;
138 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
652ae06b 139 if (type != TIMING_BASE_PT)
48fe4d62 140 {
7793f30e
BM		 141 if ((r0[i] = BN_new()) == NULL) ABORT;
142 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
48fe4d62 143 }
7793f30e
BM		 144 }
145
146 clck = clock();
147 for (i = 0; i < 10; i++)
148 {
48fe4d62
BM		 149 for (j = 0; j < 10; j++)
150 {
652ae06b
BM		 151 if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
152 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
48fe4d62 153 }
48fe4d62 154 }
48fe4d62
BM		 155 clck = clock() - clck;
156
652ae06b
BM		 157 fprintf(stdout, "\n");
158
48fe4d62
BM		 159#ifdef CLOCKS_PER_SEC
160 /* "To determine the time in seconds, the value returned
161 * by the clock function should be divided by the value
162 * of the macro CLOCKS_PER_SEC."
163 * -- ISO/IEC 9899 */
164# define UNIT "s"
165#else
166 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
167 * -- cc on NeXTstep/OpenStep */
168# define UNIT "units"
169# define CLOCKS_PER_SEC 1
170#endif
171
652ae06b
BM		 172 if (type == TIMING_BASE_PT) {
173 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
174 "base point multiplications", (double)clck/CLOCKS_PER_SEC);
175 } else if (type == TIMING_RAND_PT) {
176 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
177 "random point multiplications", (double)clck/CLOCKS_PER_SEC);
178 } else if (type == TIMING_SIMUL) {
179 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
180 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
181 }
48fe4d62
BM		 182 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
183
184 EC_POINT_free(P);
185 BN_free(s);
7793f30e
BM		 186 for (i = 0; i < 10; i++)
187 {
188 BN_free(r[i]);
652ae06b 189 if (type != TIMING_BASE_PT) BN_free(r0[i]);
7793f30e 190 }
48fe4d62 191 }
65ee74fb 192#endif
48fe4d62 193
04daec86
BM		 194/* test multiplication with group order, long and negative scalars */
195static void group_order_tests(EC_GROUP *group)
196 {
197 BIGNUM *n1, *n2, *order;
198 EC_POINT *P = EC_POINT_new(group);
199 EC_POINT *Q = EC_POINT_new(group);
04daec86 200 BN_CTX *ctx = BN_CTX_new();
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");
214 fprintf(stdout, "long/negative scalar tests ... ");
215 if (!BN_one(n1)) ABORT;
216 /* n1 = 1 - order */
217 if (!BN_sub(n1, n1, order)) ABORT;
218 if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
219 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
220 /* n2 = 1 + order */
221 if (!BN_add(n2, order, BN_value_one())) ABORT;
222 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
223 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
224 /* n2 = (1 - order) * (1 + order) */
225 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
226 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
227 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
228 fprintf(stdout, "ok\n");
229 EC_POINT_free(P);
230 EC_POINT_free(Q);
231 BN_free(n1);
232 BN_free(n2);
233 BN_free(order);
234 BN_CTX_free(ctx);
235 }
236
c13d7c02 237static void prime_field_tests(void)
adfe54b7 238 {
bb62a8b0
BM		 239 BN_CTX *ctx = NULL;
240 BIGNUM *p, *a, *b;
adfe54b7 241 EC_GROUP *group;
652ae06b 242 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 243 EC_POINT *P, *Q, *R;
244 BIGNUM *x, *y, *z;
245 unsigned char buf[100];
246 size_t i, len;
63c43dcc 247 int k;
bb62a8b0 248
48fe4d62 249#if 1 /* optional */
bb62a8b0
BM		 250 ctx = BN_CTX_new();
251 if (!ctx) ABORT;
252#endif
253
254 p = BN_new();
255 a = BN_new();
256 b = BN_new();
257 if (!p || !a || !b) ABORT;
258
42909e39
BM		 259 if (!BN_hex2bn(&p, "17")) ABORT;
260 if (!BN_hex2bn(&a, "1")) ABORT;
261 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 262
48fe4d62
BM		 263 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
264 * so that the library gets to choose the EC_METHOD */
adfe54b7 265 if (!group) ABORT;
48fe4d62 266
156e8557 267 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 268
269 {
270 EC_GROUP *tmp;
271 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
272 if (!tmp) ABORT;
8215e7a9 273 if (!EC_GROUP_copy(tmp, group)) ABORT;
48fe4d62
BM		 274 EC_GROUP_free(group);
275 group = tmp;
276 }
277
156e8557 278 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 279
280 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
281 BN_print_fp(stdout, p);
282 fprintf(stdout, ")\n a = 0x");
283 BN_print_fp(stdout, a);
284 fprintf(stdout, "\n b = 0x");
285 BN_print_fp(stdout, b);
286 fprintf(stdout, "\n");
287
288 P = EC_POINT_new(group);
289 Q = EC_POINT_new(group);
290 R = EC_POINT_new(group);
291 if (!P || !Q || !R) ABORT;
292
293 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
294 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
295
296 buf[0] = 0;
297 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
298
299 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
300 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
301
302 x = BN_new();
303 y = BN_new();
304 z = BN_new();
305 if (!x || !y || !z) ABORT;
306
42909e39 307 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 308 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
309 if (!EC_POINT_is_on_curve(group, Q, ctx))
310 {
156e8557
BM		 311 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
312 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 313 BN_print_fp(stderr, x);
156e8557
BM		 314 fprintf(stderr, ", y = 0x");
315 BN_print_fp(stderr, y);
bb62a8b0
BM		 316 fprintf(stderr, "\n");
317 ABORT;
318 }
319
320 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 321 k = 100;
bb62a8b0
BM		 322 do
323 {
63c43dcc
BM		 324 if (k-- == 0) ABORT;
325
bb62a8b0
BM		 326 if (EC_POINT_is_at_infinity(group, P))
327 fprintf(stdout, " point at infinity\n");
328 else
329 {
330 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
331
332 fprintf(stdout, " x = 0x");
333 BN_print_fp(stdout, x);
334 fprintf(stdout, ", y = 0x");
335 BN_print_fp(stdout, y);
336 fprintf(stdout, "\n");
337 }
338
339 if (!EC_POINT_copy(R, P)) ABORT;
340 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
341
342#if 0 /* optional */
48fe4d62
BM		 343 {
344 EC_POINT *points[3];
345
346 points[0] = R;
347 points[1] = Q;
348 points[2] = P;
349 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
350 }
adfe54b7 351#endif
48fe4d62 352
bb62a8b0
BM		 353 }
354 while (!EC_POINT_is_at_infinity(group, P));
355
356 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
357 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 358
bb62a8b0
BM		 359 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
360 if (len == 0) ABORT;
361 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
362 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 363 fprintf(stdout, "Generator as octet string, compressed form:\n ");
bb62a8b0
BM		 364 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
365
366 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
367 if (len == 0) ABORT;
368 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
369 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 370 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
bb62a8b0
BM		 371 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
372
373 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
374 if (len == 0) ABORT;
375 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
376 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 377 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
bb62a8b0
BM		 378 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
379
380 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
381 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
382 BN_print_fp(stdout, x);
383 fprintf(stdout, ", Y = 0x");
384 BN_print_fp(stdout, y);
385 fprintf(stdout, ", Z = 0x");
386 BN_print_fp(stdout, z);
387 fprintf(stdout, "\n");
388
389 if (!EC_POINT_invert(group, P, ctx)) ABORT;
390 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
391
48fe4d62 392
652ae06b
BM		 393 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
394 * -- not a NIST curve, but commonly used */
395
396 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
397 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
398 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
399 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
400 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
401
402 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
403 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
404 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
405 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
406 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
407 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
408
409 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
410 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
411 BN_print_fp(stdout, x);
412 fprintf(stdout, "\n y = 0x");
413 BN_print_fp(stdout, y);
414 fprintf(stdout, "\n");
415 /* G_y value taken from the standard: */
416 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
417 if (0 != BN_cmp(y, z)) ABORT;
418
419 fprintf(stdout, "verify degree ...");
420 if (EC_GROUP_get_degree(group) != 160) ABORT;
421 fprintf(stdout, " ok\n");
422
04daec86 423 group_order_tests(group);
652ae06b
BM		 424
425 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
426 if (!EC_GROUP_copy(P_160, group)) ABORT;
427
428
48fe4d62
BM		 429 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
430
431 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 432 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 433 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
434 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
435 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
436
437 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
438 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
439 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
440 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
441 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
442
443 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
444 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
445 BN_print_fp(stdout, x);
446 fprintf(stdout, "\n y = 0x");
447 BN_print_fp(stdout, y);
448 fprintf(stdout, "\n");
449 /* G_y value taken from the standard: */
450 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
451 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 452
453 fprintf(stdout, "verify degree ...");
454 if (EC_GROUP_get_degree(group) != 192) ABORT;
455 fprintf(stdout, " ok\n");
48fe4d62 456
04daec86 457 group_order_tests(group);
48fe4d62
BM		 458
459 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
460 if (!EC_GROUP_copy(P_192, group)) ABORT;
461
462
463 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
464
465 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
e9224c71 466 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 467 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
468 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
469 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
470
471 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
472 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
473 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
474 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
475 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
476
477 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
478 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
479 BN_print_fp(stdout, x);
480 fprintf(stdout, "\n y = 0x");
481 BN_print_fp(stdout, y);
482 fprintf(stdout, "\n");
483 /* G_y value taken from the standard: */
484 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
485 if (0 != BN_cmp(y, z)) ABORT;
486
7793f30e
BM		 487 fprintf(stdout, "verify degree ...");
488 if (EC_GROUP_get_degree(group) != 224) ABORT;
489 fprintf(stdout, " ok\n");
490
04daec86 491 group_order_tests(group);
38374911 492
48fe4d62
BM		 493 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
494 if (!EC_GROUP_copy(P_224, group)) ABORT;
495
496
497 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
498
499 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 500 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 501 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
502 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
503 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
504
505 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
506 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
507 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
508 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
509 "84F3B9CAC2FC632551")) 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-256 -- 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, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
520 if (0 != BN_cmp(y, z)) ABORT;
521
7793f30e
BM		 522 fprintf(stdout, "verify degree ...");
523 if (EC_GROUP_get_degree(group) != 256) ABORT;
524 fprintf(stdout, " ok\n");
525
04daec86 526 group_order_tests(group);
38374911 527
48fe4d62
BM		 528 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
529 if (!EC_GROUP_copy(P_256, group)) ABORT;
530
531
532 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
533
534 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
535 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
e9224c71 536 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 537 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
538 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
539 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
540 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
541 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
542
543 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
544 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
545 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
546 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
547 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
548 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
549 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
550
551 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
552 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
553 BN_print_fp(stdout, x);
554 fprintf(stdout, "\n y = 0x");
555 BN_print_fp(stdout, y);
556 fprintf(stdout, "\n");
557 /* G_y value taken from the standard: */
558 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
559 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
560 if (0 != BN_cmp(y, z)) ABORT;
561
7793f30e
BM		 562 fprintf(stdout, "verify degree ...");
563 if (EC_GROUP_get_degree(group) != 384) ABORT;
564 fprintf(stdout, " ok\n");
04daec86
BM		 565
566 group_order_tests(group);
38374911 567
48fe4d62
BM		 568 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
569 if (!EC_GROUP_copy(P_384, group)) ABORT;
570
571
572 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
573
574 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
575 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
576 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 577 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 578 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
579 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
580 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
581 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
582 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
583 "DF883D2C34F1EF451FD46B503F00")) ABORT;
584 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
585
586 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
587 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
588 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
589 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
590 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
591 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
592 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
593 "C9B8899C47AEBB6FB71E91386409")) ABORT;
594 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
595
596 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
597 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
598 BN_print_fp(stdout, x);
599 fprintf(stdout, "\n y = 0x");
600 BN_print_fp(stdout, y);
601 fprintf(stdout, "\n");
602 /* G_y value taken from the standard: */
603 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
604 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
605 "7086A272C24088BE94769FD16650")) ABORT;
606 if (0 != BN_cmp(y, z)) ABORT;
607
7793f30e
BM		 608 fprintf(stdout, "verify degree ...");
609 if (EC_GROUP_get_degree(group) != 521) ABORT;
610 fprintf(stdout, " ok\n");
04daec86
BM		 611
612 group_order_tests(group);
48fe4d62
BM		 613
614 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
615 if (!EC_GROUP_copy(P_521, group)) ABORT;
616
617
618 /* more tests using the last curve */
619
620 if (!EC_POINT_copy(Q, P)) ABORT;
621 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
622 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
623 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
624 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
625
626 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
627 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
628 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
629
630 {
19f6c524
BM		 631 const EC_POINT *points[4];
632 const BIGNUM *scalars[4];
633 BIGNUM scalar3;
48fe4d62
BM		 634
635 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 636 points[0] = Q;
637 points[1] = Q;
638 points[2] = Q;
19f6c524 639 points[3] = Q;
48fe4d62 640
04daec86 641 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
48fe4d62
BM		 642 if (!BN_add(y, z, BN_value_one())) ABORT;
643 if (BN_is_odd(y)) ABORT;
644 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 645 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
646 scalars[1] = y;
647
9c10b2c8 648 fprintf(stdout, "combined multiplication ...");
616df356 649 fflush(stdout);
48fe4d62
BM		 650
651 /* z is still the group order */
652 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
653 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
654 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
655 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
656
86a921af
BM		 657 fprintf(stdout, ".");
658 fflush(stdout);
659
660 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 661 if (!BN_add(z, z, y)) ABORT;
ff22e913 662 BN_set_negative(z, 1);
86a921af 663 scalars[0] = y;
752938da 664 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 665
666 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
667 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
668
38374911
BM		 669 fprintf(stdout, ".");
670 fflush(stdout);
671
672 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
673 if (!BN_add(z, x, y)) ABORT;
ff22e913 674 BN_set_negative(z, 1);
38374911
BM		 675 scalars[0] = x;
676 scalars[1] = y;
677 scalars[2] = z; /* z = -(x+y) */
678
19f6c524
BM		 679 BN_init(&scalar3);
680 BN_zero(&scalar3);
681 scalars[3] = &scalar3;
682
683 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
38374911
BM		 684 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
685
86a921af 686 fprintf(stdout, " ok\n\n");
19f6c524
BM		 687
688 BN_free(&scalar3);
48fe4d62
BM		 689 }
690
691
1226c472 692#if 0
652ae06b
BM		 693 timings(P_160, TIMING_BASE_PT, ctx);
694 timings(P_160, TIMING_RAND_PT, ctx);
695 timings(P_160, TIMING_SIMUL, ctx);
696 timings(P_192, TIMING_BASE_PT, ctx);
697 timings(P_192, TIMING_RAND_PT, ctx);
698 timings(P_192, TIMING_SIMUL, ctx);
699 timings(P_224, TIMING_BASE_PT, ctx);
700 timings(P_224, TIMING_RAND_PT, ctx);
701 timings(P_224, TIMING_SIMUL, ctx);
702 timings(P_256, TIMING_BASE_PT, ctx);
703 timings(P_256, TIMING_RAND_PT, ctx);
704 timings(P_256, TIMING_SIMUL, ctx);
705 timings(P_384, TIMING_BASE_PT, ctx);
706 timings(P_384, TIMING_RAND_PT, ctx);
707 timings(P_384, TIMING_SIMUL, ctx);
708 timings(P_521, TIMING_BASE_PT, ctx);
709 timings(P_521, TIMING_RAND_PT, ctx);
710 timings(P_521, TIMING_SIMUL, ctx);
48fe4d62
BM		 711#endif
712
bb62a8b0
BM		 713
714 if (ctx)
715 BN_CTX_free(ctx);
716 BN_free(p); BN_free(a); BN_free(b);
717 EC_GROUP_free(group);
718 EC_POINT_free(P);
719 EC_POINT_free(Q);
720 EC_POINT_free(R);
721 BN_free(x); BN_free(y); BN_free(z);
722
652ae06b 723 if (P_160) EC_GROUP_free(P_160);
48fe4d62
BM		 724 if (P_192) EC_GROUP_free(P_192);
725 if (P_224) EC_GROUP_free(P_224);
726 if (P_256) EC_GROUP_free(P_256);
727 if (P_384) EC_GROUP_free(P_384);
728 if (P_521) EC_GROUP_free(P_521);
729
7793f30e
BM		 730 }
731
732/* Change test based on whether binary point compression is enabled or not. */
733#ifdef OPENSSL_EC_BIN_PT_COMP
734#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
735 if (!BN_hex2bn(&x, _x)) ABORT; \
736 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
737 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
738 if (!BN_hex2bn(&z, _order)) ABORT; \
739 if (!BN_hex2bn(&cof, _cof)) ABORT; \
740 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
741 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
742 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
743 BN_print_fp(stdout, x); \
744 fprintf(stdout, "\n y = 0x"); \
745 BN_print_fp(stdout, y); \
746 fprintf(stdout, "\n"); \
747 /* G_y value taken from the standard: */ \
748 if (!BN_hex2bn(&z, _y)) ABORT; \
749 if (0 != BN_cmp(y, z)) ABORT;
750#else
751#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
752 if (!BN_hex2bn(&x, _x)) ABORT; \
753 if (!BN_hex2bn(&y, _y)) ABORT; \
754 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
755 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
756 if (!BN_hex2bn(&z, _order)) ABORT; \
757 if (!BN_hex2bn(&cof, _cof)) ABORT; \
758 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
759 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
760 BN_print_fp(stdout, x); \
761 fprintf(stdout, "\n y = 0x"); \
762 BN_print_fp(stdout, y); \
763 fprintf(stdout, "\n");
764#endif
765
766#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
767 if (!BN_hex2bn(&p, _p)) ABORT; \
768 if (!BN_hex2bn(&a, _a)) ABORT; \
769 if (!BN_hex2bn(&b, _b)) ABORT; \
770 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
771 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
772 fprintf(stdout, "verify degree ..."); \
773 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
774 fprintf(stdout, " ok\n"); \
04daec86 775 group_order_tests(group); \
7793f30e 776 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
04daec86
BM		 777 if (!EC_GROUP_copy(_variable, group)) ABORT; \
778
b3310161 779#ifndef OPENSSL_NO_EC2M
7793f30e 780
c13d7c02 781static void char2_field_tests(void)
b3310161 782 {
7793f30e
BM		 783 BN_CTX *ctx = NULL;
784 BIGNUM *p, *a, *b;
785 EC_GROUP *group;
786 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
787 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
788 EC_POINT *P, *Q, *R;
789 BIGNUM *x, *y, *z, *cof;
790 unsigned char buf[100];
791 size_t i, len;
792 int k;
793
794#if 1 /* optional */
795 ctx = BN_CTX_new();
796 if (!ctx) ABORT;
797#endif
798
799 p = BN_new();
800 a = BN_new();
801 b = BN_new();
802 if (!p || !a || !b) ABORT;
803
804 if (!BN_hex2bn(&p, "13")) ABORT;
805 if (!BN_hex2bn(&a, "3")) ABORT;
806 if (!BN_hex2bn(&b, "1")) ABORT;
807
848c8495
BM		 808 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
809 * so that the library gets to choose the EC_METHOD */
7793f30e
BM		 810 if (!group) ABORT;
811 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
812
813 {
814 EC_GROUP *tmp;
815 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
816 if (!tmp) ABORT;
8215e7a9 817 if (!EC_GROUP_copy(tmp, group)) ABORT;
7793f30e
BM		 818 EC_GROUP_free(group);
819 group = tmp;
820 }
821
822 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
823
824 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
825 BN_print_fp(stdout, p);
826 fprintf(stdout, ")\n a = 0x");
827 BN_print_fp(stdout, a);
828 fprintf(stdout, "\n b = 0x");
829 BN_print_fp(stdout, b);
848c8495 830 fprintf(stdout, "\n(0x... means binary polynomial)\n");
7793f30e
BM		 831
832 P = EC_POINT_new(group);
833 Q = EC_POINT_new(group);
834 R = EC_POINT_new(group);
835 if (!P || !Q || !R) ABORT;
836
837 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
838 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
839
840 buf[0] = 0;
841 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
842
843 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
844 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
845
846 x = BN_new();
847 y = BN_new();
848 z = BN_new();
849 cof = BN_new();
850 if (!x || !y || !z || !cof) ABORT;
851
852 if (!BN_hex2bn(&x, "6")) ABORT;
853/* Change test based on whether binary point compression is enabled or not. */
854#ifdef OPENSSL_EC_BIN_PT_COMP
855 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
856#else
857 if (!BN_hex2bn(&y, "8")) ABORT;
858 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
859#endif
860 if (!EC_POINT_is_on_curve(group, Q, ctx))
861 {
862/* Change test based on whether binary point compression is enabled or not. */
863#ifdef OPENSSL_EC_BIN_PT_COMP
864 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
865#endif
866 fprintf(stderr, "Point is not on curve: x = 0x");
867 BN_print_fp(stderr, x);
868 fprintf(stderr, ", y = 0x");
869 BN_print_fp(stderr, y);
870 fprintf(stderr, "\n");
871 ABORT;
872 }
873
874 fprintf(stdout, "A cyclic subgroup:\n");
875 k = 100;
876 do
877 {
878 if (k-- == 0) ABORT;
879
880 if (EC_POINT_is_at_infinity(group, P))
881 fprintf(stdout, " point at infinity\n");
882 else
883 {
884 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
885
886 fprintf(stdout, " x = 0x");
887 BN_print_fp(stdout, x);
888 fprintf(stdout, ", y = 0x");
889 BN_print_fp(stdout, y);
890 fprintf(stdout, "\n");
891 }
892
893 if (!EC_POINT_copy(R, P)) ABORT;
894 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
895 }
896 while (!EC_POINT_is_at_infinity(group, P));
897
898 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
899 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
900
901/* Change test based on whether binary point compression is enabled or not. */
902#ifdef OPENSSL_EC_BIN_PT_COMP
903 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
904 if (len == 0) ABORT;
905 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
906 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
907 fprintf(stdout, "Generator as octet string, compressed form:\n ");
908 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
909#endif
910
911 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
912 if (len == 0) ABORT;
913 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
914 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
915 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
916 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
917
918/* Change test based on whether binary point compression is enabled or not. */
919#ifdef OPENSSL_EC_BIN_PT_COMP
920 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
921 if (len == 0) ABORT;
922 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
923 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
924 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
925 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
926#endif
927
928 fprintf(stdout, "\n");
929
930 if (!EC_POINT_invert(group, P, ctx)) ABORT;
931 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
932
933
934 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
935 CHAR2_CURVE_TEST
936 (
937 "NIST curve K-163",
938 "0800000000000000000000000000000000000000C9",
939 "1",
940 "1",
941 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
942 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
943 1,
944 "04000000000000000000020108A2E0CC0D99F8A5EF",
945 "2",
946 163,
947 C2_K163
948 );
949
950 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
951 CHAR2_CURVE_TEST
952 (
953 "NIST curve B-163",
954 "0800000000000000000000000000000000000000C9",
955 "1",
956 "020A601907B8C953CA1481EB10512F78744A3205FD",
957 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
958 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
959 1,
960 "040000000000000000000292FE77E70C12A4234C33",
961 "2",
962 163,
963 C2_B163
964 );
965
966 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
967 CHAR2_CURVE_TEST
968 (
969 "NIST curve K-233",
970 "020000000000000000000000000000000000000004000000000000000001",
971 "0",
972 "1",
973 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
974 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
975 0,
976 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
977 "4",
978 233,
979 C2_K233
980 );
981
982 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
983 CHAR2_CURVE_TEST
984 (
985 "NIST curve B-233",
986 "020000000000000000000000000000000000000004000000000000000001",
987 "000000000000000000000000000000000000000000000000000000000001",
988 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
989 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
990 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
991 1,
992 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
993 "2",
994 233,
995 C2_B233
996 );
997
998 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
999 CHAR2_CURVE_TEST
1000 (
1001 "NIST curve K-283",
1002 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1003 "0",
1004 "1",
1005 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1006 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1007 0,
1008 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1009 "4",
1010 283,
1011 C2_K283
1012 );
1013
1014 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1015 CHAR2_CURVE_TEST
1016 (
1017 "NIST curve B-283",
1018 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1019 "000000000000000000000000000000000000000000000000000000000000000000000001",
1020 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1021 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1022 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1023 1,
1024 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1025 "2",
1026 283,
1027 C2_B283
1028 );
1029
1030 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1031 CHAR2_CURVE_TEST
1032 (
1033 "NIST curve K-409",
1034 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1035 "0",
1036 "1",
1037 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1038 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1039 1,
1040 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1041 "4",
1042 409,
1043 C2_K409
1044 );
1045
1046 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1047 CHAR2_CURVE_TEST
1048 (
1049 "NIST curve B-409",
1050 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1051 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1052 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1053 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1054 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1055 1,
1056 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1057 "2",
1058 409,
1059 C2_B409
1060 );
1061
1062 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1063 CHAR2_CURVE_TEST
1064 (
1065 "NIST curve K-571",
1066 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1067 "0",
1068 "1",
1069 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1070 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1071 0,
1072 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1073 "4",
1074 571,
1075 C2_K571
1076 );
1077
1078 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1079 CHAR2_CURVE_TEST
1080 (
1081 "NIST curve B-571",
1082 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1083 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1084 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1085 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1086 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1087 1,
1088 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1089 "2",
1090 571,
1091 C2_B571
1092 );
1093
1094 /* more tests using the last curve */
1095
1096 if (!EC_POINT_copy(Q, P)) ABORT;
1097 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1098 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1099 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1100 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1101
1102 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1103 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1104 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1105
1106 {
1107 const EC_POINT *points[3];
1108 const BIGNUM *scalars[3];
1109
1110 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1111 points[0] = Q;
1112 points[1] = Q;
1113 points[2] = Q;
1114
1115 if (!BN_add(y, z, BN_value_one())) ABORT;
1116 if (BN_is_odd(y)) ABORT;
1117 if (!BN_rshift1(y, y)) ABORT;
1118 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1119 scalars[1] = y;
1120
1121 fprintf(stdout, "combined multiplication ...");
1122 fflush(stdout);
1123
1124 /* z is still the group order */
1125 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1126 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1127 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1128 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1129
1130 fprintf(stdout, ".");
1131 fflush(stdout);
1132
1133 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1134 if (!BN_add(z, z, y)) ABORT;
ff22e913 1135 BN_set_negative(z, 1);
7793f30e
BM		 1136 scalars[0] = y;
1137 scalars[1] = z; /* z = -(order + y) */
1138
1139 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1140 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1141
1142 fprintf(stdout, ".");
1143 fflush(stdout);
1144
1145 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1146 if (!BN_add(z, x, y)) ABORT;
ff22e913 1147 BN_set_negative(z, 1);
7793f30e
BM		 1148 scalars[0] = x;
1149 scalars[1] = y;
1150 scalars[2] = z; /* z = -(x+y) */
1151
1152 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1153 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1154
1155 fprintf(stdout, " ok\n\n");
1156 }
1157
1158
1159#if 0
652ae06b
BM		 1160 timings(C2_K163, TIMING_BASE_PT, ctx);
1161 timings(C2_K163, TIMING_RAND_PT, ctx);
1162 timings(C2_K163, TIMING_SIMUL, ctx);
1163 timings(C2_B163, TIMING_BASE_PT, ctx);
1164 timings(C2_B163, TIMING_RAND_PT, ctx);
1165 timings(C2_B163, TIMING_SIMUL, ctx);
1166 timings(C2_K233, TIMING_BASE_PT, ctx);
1167 timings(C2_K233, TIMING_RAND_PT, ctx);
1168 timings(C2_K233, TIMING_SIMUL, ctx);
1169 timings(C2_B233, TIMING_BASE_PT, ctx);
1170 timings(C2_B233, TIMING_RAND_PT, ctx);
1171 timings(C2_B233, TIMING_SIMUL, ctx);
1172 timings(C2_K283, TIMING_BASE_PT, ctx);
1173 timings(C2_K283, TIMING_RAND_PT, ctx);
1174 timings(C2_K283, TIMING_SIMUL, ctx);
1175 timings(C2_B283, TIMING_BASE_PT, ctx);
1176 timings(C2_B283, TIMING_RAND_PT, ctx);
1177 timings(C2_B283, TIMING_SIMUL, ctx);
1178 timings(C2_K409, TIMING_BASE_PT, ctx);
1179 timings(C2_K409, TIMING_RAND_PT, ctx);
1180 timings(C2_K409, TIMING_SIMUL, ctx);
1181 timings(C2_B409, TIMING_BASE_PT, ctx);
1182 timings(C2_B409, TIMING_RAND_PT, ctx);
1183 timings(C2_B409, TIMING_SIMUL, ctx);
1184 timings(C2_K571, TIMING_BASE_PT, ctx);
1185 timings(C2_K571, TIMING_RAND_PT, ctx);
1186 timings(C2_K571, TIMING_SIMUL, ctx);
1187 timings(C2_B571, TIMING_BASE_PT, ctx);
1188 timings(C2_B571, TIMING_RAND_PT, ctx);
1189 timings(C2_B571, TIMING_SIMUL, ctx);
7793f30e
BM		 1190#endif
1191
1192
1193 if (ctx)
1194 BN_CTX_free(ctx);
1195 BN_free(p); BN_free(a); BN_free(b);
1196 EC_GROUP_free(group);
1197 EC_POINT_free(P);
1198 EC_POINT_free(Q);
1199 EC_POINT_free(R);
1200 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1201
1202 if (C2_K163) EC_GROUP_free(C2_K163);
1203 if (C2_B163) EC_GROUP_free(C2_B163);
1204 if (C2_K233) EC_GROUP_free(C2_K233);
1205 if (C2_B233) EC_GROUP_free(C2_B233);
1206 if (C2_K283) EC_GROUP_free(C2_K283);
1207 if (C2_B283) EC_GROUP_free(C2_B283);
1208 if (C2_K409) EC_GROUP_free(C2_K409);
1209 if (C2_B409) EC_GROUP_free(C2_B409);
1210 if (C2_K571) EC_GROUP_free(C2_K571);
1211 if (C2_B571) EC_GROUP_free(C2_B571);
1212
1213 }
b3310161 1214#endif
7793f30e 1215
5df2a249 1216static void internal_curve_test(void)
d742bd88
BM		 1217 {
1218 EC_builtin_curve *curves = NULL;
1219 size_t crv_len = 0, n = 0;
1220 int ok = 1;
1221
1222 crv_len = EC_get_builtin_curves(NULL, 0);
1223
1224 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1225
1226 if (curves == NULL)
1227 return;
1228
1229 if (!EC_get_builtin_curves(curves, crv_len))
1230 {
1231 OPENSSL_free(curves);
1232 return;
1233 }
1234
1235 fprintf(stdout, "testing internal curves: ");
1236
1237 for (n = 0; n < crv_len; n++)
1238 {
1239 EC_GROUP *group = NULL;
1240 int nid = curves[n].nid;
8b15c740 1241 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
d742bd88
BM		 1242 {
1243 ok = 0;
8b15c740 1244 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
d742bd88
BM		 1245 " curve %s\n", OBJ_nid2sn(nid));
1246 /* try next curve */
1247 continue;
1248 }
1249 if (!EC_GROUP_check(group, NULL))
1250 {
1251 ok = 0;
1252 fprintf(stdout, "\nEC_GROUP_check() failed with"
1253 " curve %s\n", OBJ_nid2sn(nid));
1254 EC_GROUP_free(group);
1255 /* try the next curve */
1256 continue;
1257 }
1258 fprintf(stdout, ".");
1259 fflush(stdout);
1260 EC_GROUP_free(group);
1261 }
1262 if (ok)
04daec86 1263 fprintf(stdout, " ok\n\n");
d742bd88 1264 else
04daec86 1265 fprintf(stdout, " failed\n\n");
d742bd88
BM		 1266 OPENSSL_free(curves);
1267 return;
1268 }
1269
04daec86
BM		 1270#ifdef EC_NISTP224_64_GCC_128
1271void nistp224_test()
1272 {
1273 fprintf(stdout, "\nNIST curve P-224 (optimised implementation):\n");
1274 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1275 p = BN_new();
1276 a = BN_new();
1277 b = BN_new();
1278 x = BN_new(); y = BN_new();
1279 m = BN_new(); n = BN_new(); order = BN_new();
1280 BN_CTX *ctx = BN_CTX_new();
eb8ef241
BM		 1281 EC_GROUP *NISTP224;
1282 EC_POINT *G, *P, *Q, *Q_CHECK;
1283
04daec86
BM		 1284 NISTP224 = EC_GROUP_new(EC_GFp_nistp224_method());
1285 if(!NISTP224) ABORT;
1286 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
1287 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1288 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
1289 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
1290 if (!EC_GROUP_set_curve_GFp(NISTP224, p, a, b, ctx)) ABORT;
eb8ef241
BM		 1291 G = EC_POINT_new(NISTP224);
1292 P = EC_POINT_new(NISTP224);
1293 Q = EC_POINT_new(NISTP224);
1294 Q_CHECK = EC_POINT_new(NISTP224);
04daec86
BM		 1295 if(!BN_hex2bn(&x, "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E")) ABORT;
1296 if(!BN_hex2bn(&y, "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555")) ABORT;
1297 if(!EC_POINT_set_affine_coordinates_GFp(NISTP224, Q_CHECK, x, y, ctx)) ABORT;
1298 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
1299 if (!BN_hex2bn(&y, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
1300 if (!EC_POINT_set_affine_coordinates_GFp(NISTP224, G, x, y, ctx)) ABORT;
1301 if (!BN_hex2bn(&order, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
1302 if (!EC_GROUP_set_generator(NISTP224, G, order, BN_value_one())) ABORT;
1303
1304 fprintf(stdout, "verify degree ... ");
1305 if (EC_GROUP_get_degree(NISTP224) != 224) ABORT;
1306 fprintf(stdout, "ok\n");
1307
1308 fprintf(stdout, "NIST test vectors ... ");
1309 if (!BN_hex2bn(&n, "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8")) ABORT;
1310 /* fixed point multiplication */
1311 EC_POINT_mul(NISTP224, Q, n, NULL, NULL, ctx);
1312 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1313 /* random point multiplication */
1314 EC_POINT_mul(NISTP224, Q, NULL, G, n, ctx);
1315 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1316
1317 /* set generator to P = 2*G, where G is the standard generator */
1318 if (!EC_POINT_dbl(NISTP224, P, G, ctx)) ABORT;
1319 if (!EC_GROUP_set_generator(NISTP224, P, order, BN_value_one())) ABORT;
1320 /* set the scalar to m=n/2, where n is the NIST test scalar */
1321 if (!BN_rshift(m, n, 1)) ABORT;
1322
1323 /* test the non-standard generator */
1324 /* fixed point multiplication */
1325 EC_POINT_mul(NISTP224, Q, m, NULL, NULL, ctx);
1326 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1327 /* random point multiplication */
1328 EC_POINT_mul(NISTP224, Q, NULL, P, m, ctx);
1329 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1330
1331 /* now repeat all tests with precomputation */
1332 if (!EC_GROUP_precompute_mult(NISTP224, ctx)) ABORT;
1333
1334 /* fixed point multiplication */
1335 EC_POINT_mul(NISTP224, Q, m, NULL, NULL, ctx);
1336 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1337 /* random point multiplication */
1338 EC_POINT_mul(NISTP224, Q, NULL, P, m, ctx);
1339 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1340
1341 /* reset generator */
1342 if (!EC_GROUP_set_generator(NISTP224, G, order, BN_value_one())) ABORT;
1343 /* fixed point multiplication */
1344 EC_POINT_mul(NISTP224, Q, n, NULL, NULL, ctx);
1345 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1346 /* random point multiplication */
1347 EC_POINT_mul(NISTP224, Q, NULL, G, n, ctx);
1348 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1349
1350 fprintf(stdout, "ok\n");
1351 group_order_tests(NISTP224);
1352#if 0
1353 timings(NISTP224, TIMING_BASE_PT, ctx);
1354 timings(NISTP224, TIMING_RAND_PT, ctx);
1355#endif
1356 EC_GROUP_free(NISTP224);
1357 EC_POINT_free(G);
1358 EC_POINT_free(P);
1359 EC_POINT_free(Q);
1360 EC_POINT_free(Q_CHECK);
1361 BN_free(n);
1362 BN_free(m);
1363 BN_free(p);
1364 BN_free(a);
1365 BN_free(b);
1366 BN_free(x);
1367 BN_free(y);
1368 BN_free(order);
1369 BN_CTX_free(ctx);
1370 }
1371#endif
1372
7793f30e
BM		 1373static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1374
1375int main(int argc, char *argv[])
1376 {
1377
1378 /* enable memory leak checking unless explicitly disabled */
1379 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1380 {
1381 CRYPTO_malloc_debug_init();
1382 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1383 }
1384 else
1385 {
1386 /* OPENSSL_DEBUG_MEMORY=off */
1387 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1388 }
1389 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1390 ERR_load_crypto_strings();
1391
1392 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1393
1394 prime_field_tests();
848c8495 1395 puts("");
b3310161 1396#ifndef OPENSSL_NO_EC2M
7793f30e 1397 char2_field_tests();
b3310161 1398#endif
04daec86
BM		 1399#ifdef EC_NISTP224_64_GCC_128
1400 nistp224_test();
1401#endif
d742bd88
BM		 1402 /* test the internal curves */
1403 internal_curve_test();
7793f30e 1404
0b13e9f0 1405#ifndef OPENSSL_NO_ENGINE
b8e2f83a 1406 ENGINE_cleanup();
0b13e9f0 1407#endif
79aa04ef 1408 CRYPTO_cleanup_all_ex_data();
bb62a8b0 1409 ERR_free_strings();
4c329696 1410 ERR_remove_thread_state(NULL);
bb62a8b0
BM		 1411 CRYPTO_mem_leaks_fp(stderr);
1412
adfe54b7
BM		 1413 return 0;
1414 }
bb62a8b0 1415#endif
A mirror of the official openssl repository