]> 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
C conformity fixes:
[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);
200 n1 = BN_new(); n2 = BN_new(); order = BN_new();
201 BN_CTX *ctx = BN_CTX_new();
202 fprintf(stdout, "verify group order ...");
203 fflush(stdout);
204 if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
205 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
206 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
207 fprintf(stdout, ".");
208 fflush(stdout);
209 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
210 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
211 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
212 fprintf(stdout, " ok\n");
213 fprintf(stdout, "long/negative scalar tests ... ");
214 if (!BN_one(n1)) ABORT;
215 /* n1 = 1 - order */
216 if (!BN_sub(n1, n1, order)) ABORT;
217 if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
218 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
219 /* n2 = 1 + order */
220 if (!BN_add(n2, order, BN_value_one())) ABORT;
221 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
222 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
223 /* n2 = (1 - order) * (1 + order) */
224 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
225 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
226 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
227 fprintf(stdout, "ok\n");
228 EC_POINT_free(P);
229 EC_POINT_free(Q);
230 BN_free(n1);
231 BN_free(n2);
232 BN_free(order);
233 BN_CTX_free(ctx);
234 }
235
7793f30e 236void prime_field_tests()
adfe54b7 237 {
bb62a8b0
BM		 238 BN_CTX *ctx = NULL;
239 BIGNUM *p, *a, *b;
adfe54b7 240 EC_GROUP *group;
652ae06b 241 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 242 EC_POINT *P, *Q, *R;
243 BIGNUM *x, *y, *z;
244 unsigned char buf[100];
245 size_t i, len;
63c43dcc 246 int k;
bb62a8b0 247
48fe4d62 248#if 1 /* optional */
bb62a8b0
BM		 249 ctx = BN_CTX_new();
250 if (!ctx) ABORT;
251#endif
252
253 p = BN_new();
254 a = BN_new();
255 b = BN_new();
256 if (!p || !a || !b) ABORT;
257
42909e39
BM		 258 if (!BN_hex2bn(&p, "17")) ABORT;
259 if (!BN_hex2bn(&a, "1")) ABORT;
260 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 261
48fe4d62
BM		 262 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
263 * so that the library gets to choose the EC_METHOD */
adfe54b7 264 if (!group) ABORT;
48fe4d62 265
156e8557 266 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 267
268 {
269 EC_GROUP *tmp;
270 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
271 if (!tmp) ABORT;
8215e7a9 272 if (!EC_GROUP_copy(tmp, group)) ABORT;
48fe4d62
BM		 273 EC_GROUP_free(group);
274 group = tmp;
275 }
276
156e8557 277 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 278
279 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
280 BN_print_fp(stdout, p);
281 fprintf(stdout, ")\n a = 0x");
282 BN_print_fp(stdout, a);
283 fprintf(stdout, "\n b = 0x");
284 BN_print_fp(stdout, b);
285 fprintf(stdout, "\n");
286
287 P = EC_POINT_new(group);
288 Q = EC_POINT_new(group);
289 R = EC_POINT_new(group);
290 if (!P || !Q || !R) ABORT;
291
292 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
293 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
294
295 buf[0] = 0;
296 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
297
298 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
299 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
300
301 x = BN_new();
302 y = BN_new();
303 z = BN_new();
304 if (!x || !y || !z) ABORT;
305
42909e39 306 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 307 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
308 if (!EC_POINT_is_on_curve(group, Q, ctx))
309 {
156e8557
BM		 310 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
311 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 312 BN_print_fp(stderr, x);
156e8557
BM		 313 fprintf(stderr, ", y = 0x");
314 BN_print_fp(stderr, y);
bb62a8b0
BM		 315 fprintf(stderr, "\n");
316 ABORT;
317 }
318
319 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 320 k = 100;
bb62a8b0
BM		 321 do
322 {
63c43dcc
BM		 323 if (k-- == 0) ABORT;
324
bb62a8b0
BM		 325 if (EC_POINT_is_at_infinity(group, P))
326 fprintf(stdout, " point at infinity\n");
327 else
328 {
329 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
330
331 fprintf(stdout, " x = 0x");
332 BN_print_fp(stdout, x);
333 fprintf(stdout, ", y = 0x");
334 BN_print_fp(stdout, y);
335 fprintf(stdout, "\n");
336 }
337
338 if (!EC_POINT_copy(R, P)) ABORT;
339 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
340
341#if 0 /* optional */
48fe4d62
BM		 342 {
343 EC_POINT *points[3];
344
345 points[0] = R;
346 points[1] = Q;
347 points[2] = P;
348 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
349 }
adfe54b7 350#endif
48fe4d62 351
bb62a8b0
BM		 352 }
353 while (!EC_POINT_is_at_infinity(group, P));
354
355 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
356 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 357
bb62a8b0
BM		 358 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
359 if (len == 0) ABORT;
360 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
361 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 362 fprintf(stdout, "Generator as octet string, compressed form:\n ");
bb62a8b0
BM		 363 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
364
365 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
366 if (len == 0) ABORT;
367 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
368 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 369 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
bb62a8b0
BM		 370 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
371
372 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
373 if (len == 0) ABORT;
374 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
375 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 376 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
bb62a8b0
BM		 377 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
378
379 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
380 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
381 BN_print_fp(stdout, x);
382 fprintf(stdout, ", Y = 0x");
383 BN_print_fp(stdout, y);
384 fprintf(stdout, ", Z = 0x");
385 BN_print_fp(stdout, z);
386 fprintf(stdout, "\n");
387
388 if (!EC_POINT_invert(group, P, ctx)) ABORT;
389 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
390
48fe4d62 391
652ae06b
BM		 392 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
393 * -- not a NIST curve, but commonly used */
394
395 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
396 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
397 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
398 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
399 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
400
401 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
402 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
403 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
404 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
405 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
406 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
407
408 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
409 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
410 BN_print_fp(stdout, x);
411 fprintf(stdout, "\n y = 0x");
412 BN_print_fp(stdout, y);
413 fprintf(stdout, "\n");
414 /* G_y value taken from the standard: */
415 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
416 if (0 != BN_cmp(y, z)) ABORT;
417
418 fprintf(stdout, "verify degree ...");
419 if (EC_GROUP_get_degree(group) != 160) ABORT;
420 fprintf(stdout, " ok\n");
421
04daec86 422 group_order_tests(group);
652ae06b
BM		 423
424 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
425 if (!EC_GROUP_copy(P_160, group)) ABORT;
426
427
48fe4d62
BM		 428 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
429
430 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 431 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 432 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
433 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
434 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
435
436 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
437 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
438 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
439 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
440 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
441
442 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
443 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
444 BN_print_fp(stdout, x);
445 fprintf(stdout, "\n y = 0x");
446 BN_print_fp(stdout, y);
447 fprintf(stdout, "\n");
448 /* G_y value taken from the standard: */
449 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
450 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 451
452 fprintf(stdout, "verify degree ...");
453 if (EC_GROUP_get_degree(group) != 192) ABORT;
454 fprintf(stdout, " ok\n");
48fe4d62 455
04daec86 456 group_order_tests(group);
48fe4d62
BM		 457
458 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
459 if (!EC_GROUP_copy(P_192, group)) ABORT;
460
461
462 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
463
464 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
e9224c71 465 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 466 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
467 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
468 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
469
470 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
471 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
472 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
473 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
474 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
475
476 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
477 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
478 BN_print_fp(stdout, x);
479 fprintf(stdout, "\n y = 0x");
480 BN_print_fp(stdout, y);
481 fprintf(stdout, "\n");
482 /* G_y value taken from the standard: */
483 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
484 if (0 != BN_cmp(y, z)) ABORT;
485
7793f30e
BM		 486 fprintf(stdout, "verify degree ...");
487 if (EC_GROUP_get_degree(group) != 224) ABORT;
488 fprintf(stdout, " ok\n");
489
04daec86 490 group_order_tests(group);
38374911 491
48fe4d62
BM		 492 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
493 if (!EC_GROUP_copy(P_224, group)) ABORT;
494
495
496 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
497
498 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 499 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 500 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
501 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
502 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
503
504 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
505 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
506 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
507 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
508 "84F3B9CAC2FC632551")) ABORT;
509 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
510
511 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
512 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
513 BN_print_fp(stdout, x);
514 fprintf(stdout, "\n y = 0x");
515 BN_print_fp(stdout, y);
516 fprintf(stdout, "\n");
517 /* G_y value taken from the standard: */
518 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
519 if (0 != BN_cmp(y, z)) ABORT;
520
7793f30e
BM		 521 fprintf(stdout, "verify degree ...");
522 if (EC_GROUP_get_degree(group) != 256) ABORT;
523 fprintf(stdout, " ok\n");
524
04daec86 525 group_order_tests(group);
38374911 526
48fe4d62
BM		 527 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
528 if (!EC_GROUP_copy(P_256, group)) ABORT;
529
530
531 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
532
533 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
534 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
e9224c71 535 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 536 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
537 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
538 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
539 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
540 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
541
542 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
543 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
544 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
545 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
546 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
547 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
548 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
549
550 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
551 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
552 BN_print_fp(stdout, x);
553 fprintf(stdout, "\n y = 0x");
554 BN_print_fp(stdout, y);
555 fprintf(stdout, "\n");
556 /* G_y value taken from the standard: */
557 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
558 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
559 if (0 != BN_cmp(y, z)) ABORT;
560
7793f30e
BM		 561 fprintf(stdout, "verify degree ...");
562 if (EC_GROUP_get_degree(group) != 384) ABORT;
563 fprintf(stdout, " ok\n");
04daec86
BM		 564
565 group_order_tests(group);
38374911 566
48fe4d62
BM		 567 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
568 if (!EC_GROUP_copy(P_384, group)) ABORT;
569
570
571 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
572
573 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
574 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
575 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 576 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 577 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
578 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
579 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
580 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
581 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
582 "DF883D2C34F1EF451FD46B503F00")) ABORT;
583 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
584
585 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
586 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
587 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
588 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
589 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
590 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
591 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
592 "C9B8899C47AEBB6FB71E91386409")) ABORT;
593 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
594
595 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
596 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
597 BN_print_fp(stdout, x);
598 fprintf(stdout, "\n y = 0x");
599 BN_print_fp(stdout, y);
600 fprintf(stdout, "\n");
601 /* G_y value taken from the standard: */
602 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
603 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
604 "7086A272C24088BE94769FD16650")) ABORT;
605 if (0 != BN_cmp(y, z)) ABORT;
606
7793f30e
BM		 607 fprintf(stdout, "verify degree ...");
608 if (EC_GROUP_get_degree(group) != 521) ABORT;
609 fprintf(stdout, " ok\n");
04daec86
BM		 610
611 group_order_tests(group);
48fe4d62
BM		 612
613 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
614 if (!EC_GROUP_copy(P_521, group)) ABORT;
615
616
617 /* more tests using the last curve */
618
619 if (!EC_POINT_copy(Q, P)) ABORT;
620 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
621 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
622 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
623 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
624
625 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
626 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
627 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
628
629 {
19f6c524
BM		 630 const EC_POINT *points[4];
631 const BIGNUM *scalars[4];
632 BIGNUM scalar3;
48fe4d62
BM		 633
634 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 635 points[0] = Q;
636 points[1] = Q;
637 points[2] = Q;
19f6c524 638 points[3] = Q;
48fe4d62 639
04daec86 640 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
48fe4d62
BM		 641 if (!BN_add(y, z, BN_value_one())) ABORT;
642 if (BN_is_odd(y)) ABORT;
643 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 644 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
645 scalars[1] = y;
646
9c10b2c8 647 fprintf(stdout, "combined multiplication ...");
616df356 648 fflush(stdout);
48fe4d62
BM		 649
650 /* z is still the group order */
651 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
652 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
653 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
654 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
655
86a921af
BM		 656 fprintf(stdout, ".");
657 fflush(stdout);
658
659 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 660 if (!BN_add(z, z, y)) ABORT;
ff22e913 661 BN_set_negative(z, 1);
86a921af 662 scalars[0] = y;
752938da 663 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 664
665 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
666 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
667
38374911
BM		 668 fprintf(stdout, ".");
669 fflush(stdout);
670
671 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
672 if (!BN_add(z, x, y)) ABORT;
ff22e913 673 BN_set_negative(z, 1);
38374911
BM		 674 scalars[0] = x;
675 scalars[1] = y;
676 scalars[2] = z; /* z = -(x+y) */
677
19f6c524
BM		 678 BN_init(&scalar3);
679 BN_zero(&scalar3);
680 scalars[3] = &scalar3;
681
682 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
38374911
BM		 683 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
684
86a921af 685 fprintf(stdout, " ok\n\n");
19f6c524
BM		 686
687 BN_free(&scalar3);
48fe4d62
BM		 688 }
689
690
1226c472 691#if 0
652ae06b
BM		 692 timings(P_160, TIMING_BASE_PT, ctx);
693 timings(P_160, TIMING_RAND_PT, ctx);
694 timings(P_160, TIMING_SIMUL, ctx);
695 timings(P_192, TIMING_BASE_PT, ctx);
696 timings(P_192, TIMING_RAND_PT, ctx);
697 timings(P_192, TIMING_SIMUL, ctx);
698 timings(P_224, TIMING_BASE_PT, ctx);
699 timings(P_224, TIMING_RAND_PT, ctx);
700 timings(P_224, TIMING_SIMUL, ctx);
701 timings(P_256, TIMING_BASE_PT, ctx);
702 timings(P_256, TIMING_RAND_PT, ctx);
703 timings(P_256, TIMING_SIMUL, ctx);
704 timings(P_384, TIMING_BASE_PT, ctx);
705 timings(P_384, TIMING_RAND_PT, ctx);
706 timings(P_384, TIMING_SIMUL, ctx);
707 timings(P_521, TIMING_BASE_PT, ctx);
708 timings(P_521, TIMING_RAND_PT, ctx);
709 timings(P_521, TIMING_SIMUL, ctx);
48fe4d62
BM		 710#endif
711
bb62a8b0
BM		 712
713 if (ctx)
714 BN_CTX_free(ctx);
715 BN_free(p); BN_free(a); BN_free(b);
716 EC_GROUP_free(group);
717 EC_POINT_free(P);
718 EC_POINT_free(Q);
719 EC_POINT_free(R);
720 BN_free(x); BN_free(y); BN_free(z);
721
652ae06b 722 if (P_160) EC_GROUP_free(P_160);
48fe4d62
BM		 723 if (P_192) EC_GROUP_free(P_192);
724 if (P_224) EC_GROUP_free(P_224);
725 if (P_256) EC_GROUP_free(P_256);
726 if (P_384) EC_GROUP_free(P_384);
727 if (P_521) EC_GROUP_free(P_521);
728
7793f30e
BM		 729 }
730
731/* Change test based on whether binary point compression is enabled or not. */
732#ifdef OPENSSL_EC_BIN_PT_COMP
733#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
734 if (!BN_hex2bn(&x, _x)) ABORT; \
735 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
736 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
737 if (!BN_hex2bn(&z, _order)) ABORT; \
738 if (!BN_hex2bn(&cof, _cof)) ABORT; \
739 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
740 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
741 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
742 BN_print_fp(stdout, x); \
743 fprintf(stdout, "\n y = 0x"); \
744 BN_print_fp(stdout, y); \
745 fprintf(stdout, "\n"); \
746 /* G_y value taken from the standard: */ \
747 if (!BN_hex2bn(&z, _y)) ABORT; \
748 if (0 != BN_cmp(y, z)) ABORT;
749#else
750#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
751 if (!BN_hex2bn(&x, _x)) ABORT; \
752 if (!BN_hex2bn(&y, _y)) ABORT; \
753 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
754 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
755 if (!BN_hex2bn(&z, _order)) ABORT; \
756 if (!BN_hex2bn(&cof, _cof)) ABORT; \
757 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
758 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
759 BN_print_fp(stdout, x); \
760 fprintf(stdout, "\n y = 0x"); \
761 BN_print_fp(stdout, y); \
762 fprintf(stdout, "\n");
763#endif
764
765#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
766 if (!BN_hex2bn(&p, _p)) ABORT; \
767 if (!BN_hex2bn(&a, _a)) ABORT; \
768 if (!BN_hex2bn(&b, _b)) ABORT; \
769 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
770 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
771 fprintf(stdout, "verify degree ..."); \
772 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
773 fprintf(stdout, " ok\n"); \
04daec86 774 group_order_tests(group); \
7793f30e 775 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
04daec86
BM		 776 if (!EC_GROUP_copy(_variable, group)) ABORT; \
777
7793f30e
BM		 778
779void char2_field_tests()
780 {
781 BN_CTX *ctx = NULL;
782 BIGNUM *p, *a, *b;
783 EC_GROUP *group;
784 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
785 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
786 EC_POINT *P, *Q, *R;
787 BIGNUM *x, *y, *z, *cof;
788 unsigned char buf[100];
789 size_t i, len;
790 int k;
791
792#if 1 /* optional */
793 ctx = BN_CTX_new();
794 if (!ctx) ABORT;
795#endif
796
797 p = BN_new();
798 a = BN_new();
799 b = BN_new();
800 if (!p || !a || !b) ABORT;
801
802 if (!BN_hex2bn(&p, "13")) ABORT;
803 if (!BN_hex2bn(&a, "3")) ABORT;
804 if (!BN_hex2bn(&b, "1")) ABORT;
805
848c8495
BM		 806 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
807 * so that the library gets to choose the EC_METHOD */
7793f30e
BM		 808 if (!group) ABORT;
809 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
810
811 {
812 EC_GROUP *tmp;
813 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
814 if (!tmp) ABORT;
8215e7a9 815 if (!EC_GROUP_copy(tmp, group)) ABORT;
7793f30e
BM		 816 EC_GROUP_free(group);
817 group = tmp;
818 }
819
820 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
821
822 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
823 BN_print_fp(stdout, p);
824 fprintf(stdout, ")\n a = 0x");
825 BN_print_fp(stdout, a);
826 fprintf(stdout, "\n b = 0x");
827 BN_print_fp(stdout, b);
848c8495 828 fprintf(stdout, "\n(0x... means binary polynomial)\n");
7793f30e
BM		 829
830 P = EC_POINT_new(group);
831 Q = EC_POINT_new(group);
832 R = EC_POINT_new(group);
833 if (!P || !Q || !R) ABORT;
834
835 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
836 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
837
838 buf[0] = 0;
839 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
840
841 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
842 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
843
844 x = BN_new();
845 y = BN_new();
846 z = BN_new();
847 cof = BN_new();
848 if (!x || !y || !z || !cof) ABORT;
849
850 if (!BN_hex2bn(&x, "6")) ABORT;
851/* Change test based on whether binary point compression is enabled or not. */
852#ifdef OPENSSL_EC_BIN_PT_COMP
853 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
854#else
855 if (!BN_hex2bn(&y, "8")) ABORT;
856 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
857#endif
858 if (!EC_POINT_is_on_curve(group, Q, ctx))
859 {
860/* Change test based on whether binary point compression is enabled or not. */
861#ifdef OPENSSL_EC_BIN_PT_COMP
862 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
863#endif
864 fprintf(stderr, "Point is not on curve: x = 0x");
865 BN_print_fp(stderr, x);
866 fprintf(stderr, ", y = 0x");
867 BN_print_fp(stderr, y);
868 fprintf(stderr, "\n");
869 ABORT;
870 }
871
872 fprintf(stdout, "A cyclic subgroup:\n");
873 k = 100;
874 do
875 {
876 if (k-- == 0) ABORT;
877
878 if (EC_POINT_is_at_infinity(group, P))
879 fprintf(stdout, " point at infinity\n");
880 else
881 {
882 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
883
884 fprintf(stdout, " x = 0x");
885 BN_print_fp(stdout, x);
886 fprintf(stdout, ", y = 0x");
887 BN_print_fp(stdout, y);
888 fprintf(stdout, "\n");
889 }
890
891 if (!EC_POINT_copy(R, P)) ABORT;
892 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
893 }
894 while (!EC_POINT_is_at_infinity(group, P));
895
896 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
897 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
898
899/* Change test based on whether binary point compression is enabled or not. */
900#ifdef OPENSSL_EC_BIN_PT_COMP
901 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
902 if (len == 0) ABORT;
903 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
904 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
905 fprintf(stdout, "Generator as octet string, compressed form:\n ");
906 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
907#endif
908
909 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
910 if (len == 0) ABORT;
911 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
912 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
913 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
914 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
915
916/* Change test based on whether binary point compression is enabled or not. */
917#ifdef OPENSSL_EC_BIN_PT_COMP
918 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
919 if (len == 0) ABORT;
920 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
921 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
922 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
923 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
924#endif
925
926 fprintf(stdout, "\n");
927
928 if (!EC_POINT_invert(group, P, ctx)) ABORT;
929 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
930
931
932 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
933 CHAR2_CURVE_TEST
934 (
935 "NIST curve K-163",
936 "0800000000000000000000000000000000000000C9",
937 "1",
938 "1",
939 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
940 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
941 1,
942 "04000000000000000000020108A2E0CC0D99F8A5EF",
943 "2",
944 163,
945 C2_K163
946 );
947
948 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
949 CHAR2_CURVE_TEST
950 (
951 "NIST curve B-163",
952 "0800000000000000000000000000000000000000C9",
953 "1",
954 "020A601907B8C953CA1481EB10512F78744A3205FD",
955 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
956 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
957 1,
958 "040000000000000000000292FE77E70C12A4234C33",
959 "2",
960 163,
961 C2_B163
962 );
963
964 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
965 CHAR2_CURVE_TEST
966 (
967 "NIST curve K-233",
968 "020000000000000000000000000000000000000004000000000000000001",
969 "0",
970 "1",
971 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
972 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
973 0,
974 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
975 "4",
976 233,
977 C2_K233
978 );
979
980 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
981 CHAR2_CURVE_TEST
982 (
983 "NIST curve B-233",
984 "020000000000000000000000000000000000000004000000000000000001",
985 "000000000000000000000000000000000000000000000000000000000001",
986 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
987 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
988 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
989 1,
990 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
991 "2",
992 233,
993 C2_B233
994 );
995
996 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
997 CHAR2_CURVE_TEST
998 (
999 "NIST curve K-283",
1000 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1001 "0",
1002 "1",
1003 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1004 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1005 0,
1006 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1007 "4",
1008 283,
1009 C2_K283
1010 );
1011
1012 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1013 CHAR2_CURVE_TEST
1014 (
1015 "NIST curve B-283",
1016 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1017 "000000000000000000000000000000000000000000000000000000000000000000000001",
1018 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1019 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1020 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1021 1,
1022 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1023 "2",
1024 283,
1025 C2_B283
1026 );
1027
1028 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1029 CHAR2_CURVE_TEST
1030 (
1031 "NIST curve K-409",
1032 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1033 "0",
1034 "1",
1035 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1036 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1037 1,
1038 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1039 "4",
1040 409,
1041 C2_K409
1042 );
1043
1044 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1045 CHAR2_CURVE_TEST
1046 (
1047 "NIST curve B-409",
1048 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1049 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1050 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1051 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1052 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1053 1,
1054 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1055 "2",
1056 409,
1057 C2_B409
1058 );
1059
1060 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1061 CHAR2_CURVE_TEST
1062 (
1063 "NIST curve K-571",
1064 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1065 "0",
1066 "1",
1067 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1068 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1069 0,
1070 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1071 "4",
1072 571,
1073 C2_K571
1074 );
1075
1076 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1077 CHAR2_CURVE_TEST
1078 (
1079 "NIST curve B-571",
1080 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1081 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1082 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1083 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1084 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1085 1,
1086 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1087 "2",
1088 571,
1089 C2_B571
1090 );
1091
1092 /* more tests using the last curve */
1093
1094 if (!EC_POINT_copy(Q, P)) ABORT;
1095 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1096 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1097 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1098 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1099
1100 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1101 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1102 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1103
1104 {
1105 const EC_POINT *points[3];
1106 const BIGNUM *scalars[3];
1107
1108 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1109 points[0] = Q;
1110 points[1] = Q;
1111 points[2] = Q;
1112
1113 if (!BN_add(y, z, BN_value_one())) ABORT;
1114 if (BN_is_odd(y)) ABORT;
1115 if (!BN_rshift1(y, y)) ABORT;
1116 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1117 scalars[1] = y;
1118
1119 fprintf(stdout, "combined multiplication ...");
1120 fflush(stdout);
1121
1122 /* z is still the group order */
1123 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1124 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1125 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1126 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1127
1128 fprintf(stdout, ".");
1129 fflush(stdout);
1130
1131 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1132 if (!BN_add(z, z, y)) ABORT;
ff22e913 1133 BN_set_negative(z, 1);
7793f30e
BM		 1134 scalars[0] = y;
1135 scalars[1] = z; /* z = -(order + y) */
1136
1137 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1138 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1139
1140 fprintf(stdout, ".");
1141 fflush(stdout);
1142
1143 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1144 if (!BN_add(z, x, y)) ABORT;
ff22e913 1145 BN_set_negative(z, 1);
7793f30e
BM		 1146 scalars[0] = x;
1147 scalars[1] = y;
1148 scalars[2] = z; /* z = -(x+y) */
1149
1150 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1151 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1152
1153 fprintf(stdout, " ok\n\n");
1154 }
1155
1156
1157#if 0
652ae06b
BM		 1158 timings(C2_K163, TIMING_BASE_PT, ctx);
1159 timings(C2_K163, TIMING_RAND_PT, ctx);
1160 timings(C2_K163, TIMING_SIMUL, ctx);
1161 timings(C2_B163, TIMING_BASE_PT, ctx);
1162 timings(C2_B163, TIMING_RAND_PT, ctx);
1163 timings(C2_B163, TIMING_SIMUL, ctx);
1164 timings(C2_K233, TIMING_BASE_PT, ctx);
1165 timings(C2_K233, TIMING_RAND_PT, ctx);
1166 timings(C2_K233, TIMING_SIMUL, ctx);
1167 timings(C2_B233, TIMING_BASE_PT, ctx);
1168 timings(C2_B233, TIMING_RAND_PT, ctx);
1169 timings(C2_B233, TIMING_SIMUL, ctx);
1170 timings(C2_K283, TIMING_BASE_PT, ctx);
1171 timings(C2_K283, TIMING_RAND_PT, ctx);
1172 timings(C2_K283, TIMING_SIMUL, ctx);
1173 timings(C2_B283, TIMING_BASE_PT, ctx);
1174 timings(C2_B283, TIMING_RAND_PT, ctx);
1175 timings(C2_B283, TIMING_SIMUL, ctx);
1176 timings(C2_K409, TIMING_BASE_PT, ctx);
1177 timings(C2_K409, TIMING_RAND_PT, ctx);
1178 timings(C2_K409, TIMING_SIMUL, ctx);
1179 timings(C2_B409, TIMING_BASE_PT, ctx);
1180 timings(C2_B409, TIMING_RAND_PT, ctx);
1181 timings(C2_B409, TIMING_SIMUL, ctx);
1182 timings(C2_K571, TIMING_BASE_PT, ctx);
1183 timings(C2_K571, TIMING_RAND_PT, ctx);
1184 timings(C2_K571, TIMING_SIMUL, ctx);
1185 timings(C2_B571, TIMING_BASE_PT, ctx);
1186 timings(C2_B571, TIMING_RAND_PT, ctx);
1187 timings(C2_B571, TIMING_SIMUL, ctx);
7793f30e
BM		 1188#endif
1189
1190
1191 if (ctx)
1192 BN_CTX_free(ctx);
1193 BN_free(p); BN_free(a); BN_free(b);
1194 EC_GROUP_free(group);
1195 EC_POINT_free(P);
1196 EC_POINT_free(Q);
1197 EC_POINT_free(R);
1198 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1199
1200 if (C2_K163) EC_GROUP_free(C2_K163);
1201 if (C2_B163) EC_GROUP_free(C2_B163);
1202 if (C2_K233) EC_GROUP_free(C2_K233);
1203 if (C2_B233) EC_GROUP_free(C2_B233);
1204 if (C2_K283) EC_GROUP_free(C2_K283);
1205 if (C2_B283) EC_GROUP_free(C2_B283);
1206 if (C2_K409) EC_GROUP_free(C2_K409);
1207 if (C2_B409) EC_GROUP_free(C2_B409);
1208 if (C2_K571) EC_GROUP_free(C2_K571);
1209 if (C2_B571) EC_GROUP_free(C2_B571);
1210
1211 }
1212
d742bd88
BM		 1213void internal_curve_test(void)
1214 {
1215 EC_builtin_curve *curves = NULL;
1216 size_t crv_len = 0, n = 0;
1217 int ok = 1;
1218
1219 crv_len = EC_get_builtin_curves(NULL, 0);
1220
1221 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1222
1223 if (curves == NULL)
1224 return;
1225
1226 if (!EC_get_builtin_curves(curves, crv_len))
1227 {
1228 OPENSSL_free(curves);
1229 return;
1230 }
1231
1232 fprintf(stdout, "testing internal curves: ");
1233
1234 for (n = 0; n < crv_len; n++)
1235 {
1236 EC_GROUP *group = NULL;
1237 int nid = curves[n].nid;
8b15c740 1238 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
d742bd88
BM		 1239 {
1240 ok = 0;
8b15c740 1241 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
d742bd88
BM		 1242 " curve %s\n", OBJ_nid2sn(nid));
1243 /* try next curve */
1244 continue;
1245 }
1246 if (!EC_GROUP_check(group, NULL))
1247 {
1248 ok = 0;
1249 fprintf(stdout, "\nEC_GROUP_check() failed with"
1250 " curve %s\n", OBJ_nid2sn(nid));
1251 EC_GROUP_free(group);
1252 /* try the next curve */
1253 continue;
1254 }
1255 fprintf(stdout, ".");
1256 fflush(stdout);
1257 EC_GROUP_free(group);
1258 }
1259 if (ok)
04daec86 1260 fprintf(stdout, " ok\n\n");
d742bd88 1261 else
04daec86 1262 fprintf(stdout, " failed\n\n");
d742bd88
BM		 1263 OPENSSL_free(curves);
1264 return;
1265 }
1266
04daec86
BM		 1267#ifdef EC_NISTP224_64_GCC_128
1268void nistp224_test()
1269 {
1270 fprintf(stdout, "\nNIST curve P-224 (optimised implementation):\n");
1271 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1272 p = BN_new();
1273 a = BN_new();
1274 b = BN_new();
1275 x = BN_new(); y = BN_new();
1276 m = BN_new(); n = BN_new(); order = BN_new();
1277 BN_CTX *ctx = BN_CTX_new();
1278 EC_GROUP *NISTP224 = NULL;
1279 NISTP224 = EC_GROUP_new(EC_GFp_nistp224_method());
1280 if(!NISTP224) ABORT;
1281 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
1282 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1283 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
1284 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
1285 if (!EC_GROUP_set_curve_GFp(NISTP224, p, a, b, ctx)) ABORT;
1286 EC_POINT *G = EC_POINT_new(NISTP224);
1287 EC_POINT *P = EC_POINT_new(NISTP224);
1288 EC_POINT *Q = EC_POINT_new(NISTP224);
1289 EC_POINT *Q_CHECK = EC_POINT_new(NISTP224);
1290 if(!BN_hex2bn(&x, "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E")) ABORT;
1291 if(!BN_hex2bn(&y, "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555")) ABORT;
1292 if(!EC_POINT_set_affine_coordinates_GFp(NISTP224, Q_CHECK, x, y, ctx)) ABORT;
1293 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
1294 if (!BN_hex2bn(&y, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
1295 if (!EC_POINT_set_affine_coordinates_GFp(NISTP224, G, x, y, ctx)) ABORT;
1296 if (!BN_hex2bn(&order, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
1297 if (!EC_GROUP_set_generator(NISTP224, G, order, BN_value_one())) ABORT;
1298
1299 fprintf(stdout, "verify degree ... ");
1300 if (EC_GROUP_get_degree(NISTP224) != 224) ABORT;
1301 fprintf(stdout, "ok\n");
1302
1303 fprintf(stdout, "NIST test vectors ... ");
1304 if (!BN_hex2bn(&n, "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8")) ABORT;
1305 /* fixed point multiplication */
1306 EC_POINT_mul(NISTP224, Q, n, NULL, NULL, ctx);
1307 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1308 /* random point multiplication */
1309 EC_POINT_mul(NISTP224, Q, NULL, G, n, ctx);
1310 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1311
1312 /* set generator to P = 2*G, where G is the standard generator */
1313 if (!EC_POINT_dbl(NISTP224, P, G, ctx)) ABORT;
1314 if (!EC_GROUP_set_generator(NISTP224, P, order, BN_value_one())) ABORT;
1315 /* set the scalar to m=n/2, where n is the NIST test scalar */
1316 if (!BN_rshift(m, n, 1)) ABORT;
1317
1318 /* test the non-standard generator */
1319 /* fixed point multiplication */
1320 EC_POINT_mul(NISTP224, Q, m, NULL, NULL, ctx);
1321 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1322 /* random point multiplication */
1323 EC_POINT_mul(NISTP224, Q, NULL, P, m, ctx);
1324 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1325
1326 /* now repeat all tests with precomputation */
1327 if (!EC_GROUP_precompute_mult(NISTP224, ctx)) ABORT;
1328
1329 /* fixed point multiplication */
1330 EC_POINT_mul(NISTP224, Q, m, NULL, NULL, ctx);
1331 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1332 /* random point multiplication */
1333 EC_POINT_mul(NISTP224, Q, NULL, P, m, ctx);
1334 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1335
1336 /* reset generator */
1337 if (!EC_GROUP_set_generator(NISTP224, G, order, BN_value_one())) ABORT;
1338 /* fixed point multiplication */
1339 EC_POINT_mul(NISTP224, Q, n, NULL, NULL, ctx);
1340 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1341 /* random point multiplication */
1342 EC_POINT_mul(NISTP224, Q, NULL, G, n, ctx);
1343 if (0 != EC_POINT_cmp(NISTP224, Q, Q_CHECK, ctx)) ABORT;
1344
1345 fprintf(stdout, "ok\n");
1346 group_order_tests(NISTP224);
1347#if 0
1348 timings(NISTP224, TIMING_BASE_PT, ctx);
1349 timings(NISTP224, TIMING_RAND_PT, ctx);
1350#endif
1351 EC_GROUP_free(NISTP224);
1352 EC_POINT_free(G);
1353 EC_POINT_free(P);
1354 EC_POINT_free(Q);
1355 EC_POINT_free(Q_CHECK);
1356 BN_free(n);
1357 BN_free(m);
1358 BN_free(p);
1359 BN_free(a);
1360 BN_free(b);
1361 BN_free(x);
1362 BN_free(y);
1363 BN_free(order);
1364 BN_CTX_free(ctx);
1365 }
1366#endif
1367
7793f30e
BM		 1368static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1369
1370int main(int argc, char *argv[])
1371 {
1372
1373 /* enable memory leak checking unless explicitly disabled */
1374 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1375 {
1376 CRYPTO_malloc_debug_init();
1377 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1378 }
1379 else
1380 {
1381 /* OPENSSL_DEBUG_MEMORY=off */
1382 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1383 }
1384 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1385 ERR_load_crypto_strings();
1386
1387 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1388
1389 prime_field_tests();
848c8495 1390 puts("");
7793f30e 1391 char2_field_tests();
04daec86
BM		 1392#ifdef EC_NISTP224_64_GCC_128
1393 nistp224_test();
1394#endif
d742bd88
BM		 1395 /* test the internal curves */
1396 internal_curve_test();
7793f30e 1397
0b13e9f0 1398#ifndef OPENSSL_NO_ENGINE
b8e2f83a 1399 ENGINE_cleanup();
0b13e9f0 1400#endif
79aa04ef 1401 CRYPTO_cleanup_all_ex_data();
bb62a8b0 1402 ERR_free_strings();
4c329696 1403 ERR_remove_thread_state(NULL);
bb62a8b0
BM		 1404 CRYPTO_mem_leaks_fp(stderr);
1405
adfe54b7
BM		 1406 return 0;
1407 }
bb62a8b0 1408#endif
A mirror of the official openssl repository