]> 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
Implement internally opaque bn access from dsa
[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>
e0d6132b 97#include <openssl/opensslconf.h>
adfe54b7 98
ff82bf3b 99#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
0491e058
AP		 100/* suppress "too big too optimize" warning */
101#pragma warning(disable:4959)
102#endif
103
adfe54b7 104#define ABORT do { \
48fe4d62 105 fflush(stdout); \
bb62a8b0 106 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7 107 ERR_print_errors_fp(stderr); \
55f78baf 108 EXIT(1); \
adfe54b7
BM		 109} while (0)
110
652ae06b
BM		 111#define TIMING_BASE_PT 0
112#define TIMING_RAND_PT 1
113#define TIMING_SIMUL 2
114
65ee74fb 115#if 0
652ae06b 116static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
48fe4d62
BM		 117 {
118 clock_t clck;
119 int i, j;
7793f30e
BM		 120 BIGNUM *s;
121 BIGNUM *r[10], *r0[10];
48fe4d62 122 EC_POINT *P;
48fe4d62
BM		 123
124 s = BN_new();
7793f30e 125 if (s == NULL) ABORT;
48fe4d62 126
7793f30e 127 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
48fe4d62 128 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
7793f30e 129 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 130 fflush(stdout);
131
132 P = EC_POINT_new(group);
133 if (P == NULL) ABORT;
134 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
135
48fe4d62
BM		 136 for (i = 0; i < 10; i++)
137 {
7793f30e
BM		 138 if ((r[i] = BN_new()) == NULL) ABORT;
139 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
652ae06b 140 if (type != TIMING_BASE_PT)
48fe4d62 141 {
7793f30e
BM		 142 if ((r0[i] = BN_new()) == NULL) ABORT;
143 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
48fe4d62 144 }
7793f30e
BM		 145 }
146
147 clck = clock();
148 for (i = 0; i < 10; i++)
149 {
48fe4d62
BM		 150 for (j = 0; j < 10; j++)
151 {
652ae06b
BM		 152 if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
153 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
48fe4d62 154 }
48fe4d62 155 }
48fe4d62
BM		 156 clck = clock() - clck;
157
652ae06b
BM		 158 fprintf(stdout, "\n");
159
48fe4d62
BM		 160#ifdef CLOCKS_PER_SEC
161 /* "To determine the time in seconds, the value returned
162 * by the clock function should be divided by the value
163 * of the macro CLOCKS_PER_SEC."
164 * -- ISO/IEC 9899 */
165# define UNIT "s"
166#else
167 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
168 * -- cc on NeXTstep/OpenStep */
169# define UNIT "units"
170# define CLOCKS_PER_SEC 1
171#endif
172
652ae06b
BM		 173 if (type == TIMING_BASE_PT) {
174 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
175 "base point multiplications", (double)clck/CLOCKS_PER_SEC);
176 } else if (type == TIMING_RAND_PT) {
177 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
178 "random point multiplications", (double)clck/CLOCKS_PER_SEC);
179 } else if (type == TIMING_SIMUL) {
180 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
181 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
182 }
48fe4d62
BM		 183 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
184
185 EC_POINT_free(P);
186 BN_free(s);
7793f30e
BM		 187 for (i = 0; i < 10; i++)
188 {
189 BN_free(r[i]);
652ae06b 190 if (type != TIMING_BASE_PT) BN_free(r0[i]);
7793f30e 191 }
48fe4d62 192 }
65ee74fb 193#endif
48fe4d62 194
04daec86
BM		 195/* test multiplication with group order, long and negative scalars */
196static void group_order_tests(EC_GROUP *group)
197 {
198 BIGNUM *n1, *n2, *order;
199 EC_POINT *P = EC_POINT_new(group);
200 EC_POINT *Q = EC_POINT_new(group);
04daec86 201 BN_CTX *ctx = BN_CTX_new();
0fe73d6c 202 int i;
eb8ef241
BM		 203
204 n1 = BN_new(); n2 = BN_new(); order = BN_new();
04daec86
BM		 205 fprintf(stdout, "verify group order ...");
206 fflush(stdout);
207 if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
208 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
209 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
210 fprintf(stdout, ".");
211 fflush(stdout);
212 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
213 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
214 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
215 fprintf(stdout, " ok\n");
0fe73d6c
BM		 216 fprintf(stdout, "long/negative scalar tests ");
217 for (i = 1; i <= 2; i++)
218 {
219 const BIGNUM *scalars[6];
220 const EC_POINT *points[6];
221
222 fprintf(stdout, i == 1 ?
223 "allowing precomputation ... " :
224 "without precomputation ... ");
225 if (!BN_set_word(n1, i)) ABORT;
226 /* If i == 1, P will be the predefined generator for which
227 * EC_GROUP_precompute_mult has set up precomputation. */
228 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT;
229
230 if (!BN_one(n1)) ABORT;
231 /* n1 = 1 - order */
232 if (!BN_sub(n1, n1, order)) ABORT;
233 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
234 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
235
236 /* n2 = 1 + order */
237 if (!BN_add(n2, order, BN_value_one())) ABORT;
238 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
239 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
240
241 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
242 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
243 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
244 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
245
246 /* n2 = order^2 - 1 */
247 BN_set_negative(n2, 0);
248 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
249 /* Add P to verify the result. */
250 if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT;
251 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
252
253 /* Exercise EC_POINTs_mul, including corner cases. */
16602b5c 254 if (EC_POINT_is_at_infinity(group, P)) ABORT;
0fe73d6c
BM		 255 scalars[0] = n1; points[0] = Q; /* => infinity */
256 scalars[1] = n2; points[1] = P; /* => -P */
257 scalars[2] = n1; points[2] = Q; /* => infinity */
258 scalars[3] = n2; points[3] = Q; /* => infinity */
259 scalars[4] = n1; points[4] = P; /* => P */
260 scalars[5] = n2; points[5] = Q; /* => infinity */
16602b5c
BM		 261 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT;
262 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
0fe73d6c 263 }
04daec86 264 fprintf(stdout, "ok\n");
0fe73d6c 265
04daec86
BM		 266 EC_POINT_free(P);
267 EC_POINT_free(Q);
268 BN_free(n1);
269 BN_free(n2);
270 BN_free(order);
271 BN_CTX_free(ctx);
272 }
273
c13d7c02 274static void prime_field_tests(void)
3e00b4c9 275 {
bb62a8b0
BM		 276 BN_CTX *ctx = NULL;
277 BIGNUM *p, *a, *b;
adfe54b7 278 EC_GROUP *group;
652ae06b 279 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 280 EC_POINT *P, *Q, *R;
281 BIGNUM *x, *y, *z;
282 unsigned char buf[100];
283 size_t i, len;
63c43dcc 284 int k;
bb62a8b0 285
48fe4d62 286#if 1 /* optional */
bb62a8b0
BM		 287 ctx = BN_CTX_new();
288 if (!ctx) ABORT;
289#endif
290
291 p = BN_new();
292 a = BN_new();
293 b = BN_new();
294 if (!p || !a || !b) ABORT;
295
42909e39
BM		 296 if (!BN_hex2bn(&p, "17")) ABORT;
297 if (!BN_hex2bn(&a, "1")) ABORT;
298 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 299
48fe4d62
BM		 300 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
301 * so that the library gets to choose the EC_METHOD */
adfe54b7 302 if (!group) ABORT;
48fe4d62 303
156e8557 304 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 305
306 {
307 EC_GROUP *tmp;
308 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
309 if (!tmp) ABORT;
8215e7a9 310 if (!EC_GROUP_copy(tmp, group)) ABORT;
48fe4d62
BM		 311 EC_GROUP_free(group);
312 group = tmp;
313 }
314
156e8557 315 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 316
317 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
318 BN_print_fp(stdout, p);
319 fprintf(stdout, ")\n a = 0x");
320 BN_print_fp(stdout, a);
321 fprintf(stdout, "\n b = 0x");
322 BN_print_fp(stdout, b);
323 fprintf(stdout, "\n");
324
325 P = EC_POINT_new(group);
326 Q = EC_POINT_new(group);
327 R = EC_POINT_new(group);
328 if (!P || !Q || !R) ABORT;
329
330 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
331 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
332
333 buf[0] = 0;
334 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
335
336 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
337 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
338
339 x = BN_new();
340 y = BN_new();
341 z = BN_new();
342 if (!x || !y || !z) ABORT;
343
42909e39 344 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 345 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
346 if (!EC_POINT_is_on_curve(group, Q, ctx))
347 {
156e8557
BM		 348 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
349 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 350 BN_print_fp(stderr, x);
156e8557
BM		 351 fprintf(stderr, ", y = 0x");
352 BN_print_fp(stderr, y);
bb62a8b0
BM		 353 fprintf(stderr, "\n");
354 ABORT;
355 }
356
357 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 358 k = 100;
bb62a8b0
BM		 359 do
360 {
63c43dcc
BM		 361 if (k-- == 0) ABORT;
362
bb62a8b0
BM		 363 if (EC_POINT_is_at_infinity(group, P))
364 fprintf(stdout, " point at infinity\n");
365 else
366 {
367 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
368
369 fprintf(stdout, " x = 0x");
370 BN_print_fp(stdout, x);
371 fprintf(stdout, ", y = 0x");
372 BN_print_fp(stdout, y);
373 fprintf(stdout, "\n");
374 }
375
376 if (!EC_POINT_copy(R, P)) ABORT;
377 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
378
379#if 0 /* optional */
48fe4d62
BM		 380 {
381 EC_POINT *points[3];
382
383 points[0] = R;
384 points[1] = Q;
385 points[2] = P;
386 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
387 }
adfe54b7 388#endif
48fe4d62 389
bb62a8b0
BM		 390 }
391 while (!EC_POINT_is_at_infinity(group, P));
392
393 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
394 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 395
bb62a8b0
BM		 396 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
397 if (len == 0) ABORT;
398 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
399 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 400 fprintf(stdout, "Generator as octet string, compressed form:\n ");
bb62a8b0
BM		 401 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
402
403 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
404 if (len == 0) ABORT;
405 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
406 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 407 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
bb62a8b0
BM		 408 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
409
410 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
411 if (len == 0) ABORT;
412 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
413 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
04daec86 414 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
bb62a8b0
BM		 415 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
416
417 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
418 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
419 BN_print_fp(stdout, x);
420 fprintf(stdout, ", Y = 0x");
421 BN_print_fp(stdout, y);
422 fprintf(stdout, ", Z = 0x");
423 BN_print_fp(stdout, z);
424 fprintf(stdout, "\n");
425
426 if (!EC_POINT_invert(group, P, ctx)) ABORT;
427 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
428
48fe4d62 429
652ae06b
BM		 430 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
431 * -- not a NIST curve, but commonly used */
432
433 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
434 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
435 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
436 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
437 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
438
439 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
440 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
441 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
442 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
443 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
444 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
445
446 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
447 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
448 BN_print_fp(stdout, x);
449 fprintf(stdout, "\n y = 0x");
450 BN_print_fp(stdout, y);
451 fprintf(stdout, "\n");
452 /* G_y value taken from the standard: */
453 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
454 if (0 != BN_cmp(y, z)) ABORT;
455
456 fprintf(stdout, "verify degree ...");
457 if (EC_GROUP_get_degree(group) != 160) ABORT;
458 fprintf(stdout, " ok\n");
459
04daec86 460 group_order_tests(group);
652ae06b
BM		 461
462 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
463 if (!EC_GROUP_copy(P_160, group)) ABORT;
464
465
48fe4d62
BM		 466 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
467
468 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 469 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 470 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
471 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
472 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
473
474 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
475 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
476 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
477 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
478 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
479
480 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
481 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
482 BN_print_fp(stdout, x);
483 fprintf(stdout, "\n y = 0x");
484 BN_print_fp(stdout, y);
485 fprintf(stdout, "\n");
486 /* G_y value taken from the standard: */
487 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
488 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 489
490 fprintf(stdout, "verify degree ...");
491 if (EC_GROUP_get_degree(group) != 192) ABORT;
492 fprintf(stdout, " ok\n");
48fe4d62 493
04daec86 494 group_order_tests(group);
48fe4d62
BM		 495
496 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
497 if (!EC_GROUP_copy(P_192, group)) ABORT;
498
499
500 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
501
502 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
e9224c71 503 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 504 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
505 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
506 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
507
508 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
509 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
510 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
511 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
512 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
513
514 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
515 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
516 BN_print_fp(stdout, x);
517 fprintf(stdout, "\n y = 0x");
518 BN_print_fp(stdout, y);
519 fprintf(stdout, "\n");
520 /* G_y value taken from the standard: */
521 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
522 if (0 != BN_cmp(y, z)) ABORT;
523
7793f30e
BM		 524 fprintf(stdout, "verify degree ...");
525 if (EC_GROUP_get_degree(group) != 224) ABORT;
526 fprintf(stdout, " ok\n");
527
04daec86 528 group_order_tests(group);
38374911 529
48fe4d62
BM		 530 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
531 if (!EC_GROUP_copy(P_224, group)) ABORT;
532
533
534 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
535
536 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 537 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 538 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
539 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
540 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
541
542 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
543 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
544 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
545 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
546 "84F3B9CAC2FC632551")) ABORT;
547 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
548
549 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
550 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
551 BN_print_fp(stdout, x);
552 fprintf(stdout, "\n y = 0x");
553 BN_print_fp(stdout, y);
554 fprintf(stdout, "\n");
555 /* G_y value taken from the standard: */
556 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
557 if (0 != BN_cmp(y, z)) ABORT;
558
7793f30e
BM		 559 fprintf(stdout, "verify degree ...");
560 if (EC_GROUP_get_degree(group) != 256) ABORT;
561 fprintf(stdout, " ok\n");
562
04daec86 563 group_order_tests(group);
38374911 564
48fe4d62
BM		 565 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
566 if (!EC_GROUP_copy(P_256, group)) ABORT;
567
568
569 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
570
571 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
572 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
e9224c71 573 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 574 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
575 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
576 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
577 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
578 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
579
580 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
581 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
582 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
583 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
584 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
585 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
586 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
587
588 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
589 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
590 BN_print_fp(stdout, x);
591 fprintf(stdout, "\n y = 0x");
592 BN_print_fp(stdout, y);
593 fprintf(stdout, "\n");
594 /* G_y value taken from the standard: */
595 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
596 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
597 if (0 != BN_cmp(y, z)) ABORT;
598
7793f30e
BM		 599 fprintf(stdout, "verify degree ...");
600 if (EC_GROUP_get_degree(group) != 384) ABORT;
601 fprintf(stdout, " ok\n");
04daec86
BM		 602
603 group_order_tests(group);
38374911 604
48fe4d62
BM		 605 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
606 if (!EC_GROUP_copy(P_384, group)) ABORT;
607
608
609 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
610
611 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
612 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
613 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 614 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 615 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
616 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
617 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
618 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
619 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
620 "DF883D2C34F1EF451FD46B503F00")) ABORT;
621 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
622
623 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
624 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
625 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
626 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
627 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
628 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
629 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
630 "C9B8899C47AEBB6FB71E91386409")) ABORT;
631 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
632
633 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
634 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
635 BN_print_fp(stdout, x);
636 fprintf(stdout, "\n y = 0x");
637 BN_print_fp(stdout, y);
638 fprintf(stdout, "\n");
639 /* G_y value taken from the standard: */
640 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
641 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
642 "7086A272C24088BE94769FD16650")) ABORT;
643 if (0 != BN_cmp(y, z)) ABORT;
644
7793f30e
BM		 645 fprintf(stdout, "verify degree ...");
646 if (EC_GROUP_get_degree(group) != 521) ABORT;
647 fprintf(stdout, " ok\n");
04daec86
BM		 648
649 group_order_tests(group);
48fe4d62
BM		 650
651 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
652 if (!EC_GROUP_copy(P_521, group)) ABORT;
653
654
655 /* more tests using the last curve */
656
657 if (!EC_POINT_copy(Q, P)) ABORT;
658 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
659 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
660 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
661 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
662
663 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
664 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
665 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
666
667 {
19f6c524
BM		 668 const EC_POINT *points[4];
669 const BIGNUM *scalars[4];
670 BIGNUM scalar3;
48fe4d62
BM		 671
672 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 673 points[0] = Q;
674 points[1] = Q;
675 points[2] = Q;
19f6c524 676 points[3] = Q;
48fe4d62 677
04daec86 678 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
48fe4d62
BM		 679 if (!BN_add(y, z, BN_value_one())) ABORT;
680 if (BN_is_odd(y)) ABORT;
681 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 682 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
683 scalars[1] = y;
684
9c10b2c8 685 fprintf(stdout, "combined multiplication ...");
616df356 686 fflush(stdout);
48fe4d62
BM		 687
688 /* z is still the group order */
689 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
690 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
691 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
692 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
693
86a921af
BM		 694 fprintf(stdout, ".");
695 fflush(stdout);
696
697 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 698 if (!BN_add(z, z, y)) ABORT;
ff22e913 699 BN_set_negative(z, 1);
86a921af 700 scalars[0] = y;
752938da 701 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 702
703 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
704 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
705
38374911
BM		 706 fprintf(stdout, ".");
707 fflush(stdout);
708
709 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
710 if (!BN_add(z, x, y)) ABORT;
ff22e913 711 BN_set_negative(z, 1);
38374911
BM		 712 scalars[0] = x;
713 scalars[1] = y;
714 scalars[2] = z; /* z = -(x+y) */
715
19f6c524
BM		 716 BN_init(&scalar3);
717 BN_zero(&scalar3);
718 scalars[3] = &scalar3;
719
720 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
38374911
BM		 721 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
722
86a921af 723 fprintf(stdout, " ok\n\n");
19f6c524
BM		 724
725 BN_free(&scalar3);
48fe4d62
BM		 726 }
727
728
1226c472 729#if 0
652ae06b
BM		 730 timings(P_160, TIMING_BASE_PT, ctx);
731 timings(P_160, TIMING_RAND_PT, ctx);
732 timings(P_160, TIMING_SIMUL, ctx);
733 timings(P_192, TIMING_BASE_PT, ctx);
734 timings(P_192, TIMING_RAND_PT, ctx);
735 timings(P_192, TIMING_SIMUL, ctx);
736 timings(P_224, TIMING_BASE_PT, ctx);
737 timings(P_224, TIMING_RAND_PT, ctx);
738 timings(P_224, TIMING_SIMUL, ctx);
739 timings(P_256, TIMING_BASE_PT, ctx);
740 timings(P_256, TIMING_RAND_PT, ctx);
741 timings(P_256, TIMING_SIMUL, ctx);
742 timings(P_384, TIMING_BASE_PT, ctx);
743 timings(P_384, TIMING_RAND_PT, ctx);
744 timings(P_384, TIMING_SIMUL, ctx);
745 timings(P_521, TIMING_BASE_PT, ctx);
746 timings(P_521, TIMING_RAND_PT, ctx);
747 timings(P_521, TIMING_SIMUL, ctx);
48fe4d62
BM		 748#endif
749
bb62a8b0
BM		 750
751 if (ctx)
752 BN_CTX_free(ctx);
753 BN_free(p); BN_free(a); BN_free(b);
754 EC_GROUP_free(group);
755 EC_POINT_free(P);
756 EC_POINT_free(Q);
757 EC_POINT_free(R);
758 BN_free(x); BN_free(y); BN_free(z);
759
652ae06b 760 if (P_160) EC_GROUP_free(P_160);
48fe4d62
BM		 761 if (P_192) EC_GROUP_free(P_192);
762 if (P_224) EC_GROUP_free(P_224);
763 if (P_256) EC_GROUP_free(P_256);
764 if (P_384) EC_GROUP_free(P_384);
765 if (P_521) EC_GROUP_free(P_521);
766
7793f30e
BM		 767 }
768
769/* Change test based on whether binary point compression is enabled or not. */
770#ifdef OPENSSL_EC_BIN_PT_COMP
771#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
772 if (!BN_hex2bn(&x, _x)) ABORT; \
773 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
774 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
775 if (!BN_hex2bn(&z, _order)) ABORT; \
776 if (!BN_hex2bn(&cof, _cof)) ABORT; \
777 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
778 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
779 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
780 BN_print_fp(stdout, x); \
781 fprintf(stdout, "\n y = 0x"); \
782 BN_print_fp(stdout, y); \
783 fprintf(stdout, "\n"); \
784 /* G_y value taken from the standard: */ \
785 if (!BN_hex2bn(&z, _y)) ABORT; \
786 if (0 != BN_cmp(y, z)) ABORT;
787#else
788#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
789 if (!BN_hex2bn(&x, _x)) ABORT; \
790 if (!BN_hex2bn(&y, _y)) ABORT; \
791 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
792 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
793 if (!BN_hex2bn(&z, _order)) ABORT; \
794 if (!BN_hex2bn(&cof, _cof)) ABORT; \
795 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
796 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
797 BN_print_fp(stdout, x); \
798 fprintf(stdout, "\n y = 0x"); \
799 BN_print_fp(stdout, y); \
800 fprintf(stdout, "\n");
801#endif
802
803#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
804 if (!BN_hex2bn(&p, _p)) ABORT; \
805 if (!BN_hex2bn(&a, _a)) ABORT; \
806 if (!BN_hex2bn(&b, _b)) ABORT; \
807 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
808 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
809 fprintf(stdout, "verify degree ..."); \
810 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
811 fprintf(stdout, " ok\n"); \
04daec86 812 group_order_tests(group); \
7793f30e 813 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
04daec86
BM		 814 if (!EC_GROUP_copy(_variable, group)) ABORT; \
815
b3310161 816#ifndef OPENSSL_NO_EC2M
7793f30e 817
c13d7c02 818static void char2_field_tests(void)
b3310161 819 {
7793f30e
BM		 820 BN_CTX *ctx = NULL;
821 BIGNUM *p, *a, *b;
822 EC_GROUP *group;
823 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
824 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
825 EC_POINT *P, *Q, *R;
826 BIGNUM *x, *y, *z, *cof;
827 unsigned char buf[100];
828 size_t i, len;
829 int k;
830
831#if 1 /* optional */
832 ctx = BN_CTX_new();
833 if (!ctx) ABORT;
834#endif
835
836 p = BN_new();
837 a = BN_new();
838 b = BN_new();
839 if (!p || !a || !b) ABORT;
840
841 if (!BN_hex2bn(&p, "13")) ABORT;
842 if (!BN_hex2bn(&a, "3")) ABORT;
843 if (!BN_hex2bn(&b, "1")) ABORT;
844
848c8495
BM		 845 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
846 * so that the library gets to choose the EC_METHOD */
7793f30e
BM		 847 if (!group) ABORT;
848 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
849
850 {
851 EC_GROUP *tmp;
852 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
853 if (!tmp) ABORT;
8215e7a9 854 if (!EC_GROUP_copy(tmp, group)) ABORT;
7793f30e
BM		 855 EC_GROUP_free(group);
856 group = tmp;
857 }
858
859 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
860
861 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
862 BN_print_fp(stdout, p);
863 fprintf(stdout, ")\n a = 0x");
864 BN_print_fp(stdout, a);
865 fprintf(stdout, "\n b = 0x");
866 BN_print_fp(stdout, b);
848c8495 867 fprintf(stdout, "\n(0x... means binary polynomial)\n");
7793f30e
BM		 868
869 P = EC_POINT_new(group);
870 Q = EC_POINT_new(group);
871 R = EC_POINT_new(group);
872 if (!P || !Q || !R) ABORT;
873
874 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
875 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
876
877 buf[0] = 0;
878 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
879
880 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
881 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
882
883 x = BN_new();
884 y = BN_new();
885 z = BN_new();
886 cof = BN_new();
887 if (!x || !y || !z || !cof) ABORT;
888
889 if (!BN_hex2bn(&x, "6")) ABORT;
890/* Change test based on whether binary point compression is enabled or not. */
891#ifdef OPENSSL_EC_BIN_PT_COMP
892 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
893#else
894 if (!BN_hex2bn(&y, "8")) ABORT;
895 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
896#endif
897 if (!EC_POINT_is_on_curve(group, Q, ctx))
898 {
899/* Change test based on whether binary point compression is enabled or not. */
900#ifdef OPENSSL_EC_BIN_PT_COMP
901 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
902#endif
903 fprintf(stderr, "Point is not on curve: x = 0x");
904 BN_print_fp(stderr, x);
905 fprintf(stderr, ", y = 0x");
906 BN_print_fp(stderr, y);
907 fprintf(stderr, "\n");
908 ABORT;
909 }
910
911 fprintf(stdout, "A cyclic subgroup:\n");
912 k = 100;
913 do
914 {
915 if (k-- == 0) ABORT;
916
917 if (EC_POINT_is_at_infinity(group, P))
918 fprintf(stdout, " point at infinity\n");
919 else
920 {
921 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
922
923 fprintf(stdout, " x = 0x");
924 BN_print_fp(stdout, x);
925 fprintf(stdout, ", y = 0x");
926 BN_print_fp(stdout, y);
927 fprintf(stdout, "\n");
928 }
929
930 if (!EC_POINT_copy(R, P)) ABORT;
931 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
932 }
933 while (!EC_POINT_is_at_infinity(group, P));
934
935 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
936 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
937
938/* Change test based on whether binary point compression is enabled or not. */
939#ifdef OPENSSL_EC_BIN_PT_COMP
940 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
941 if (len == 0) ABORT;
942 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
943 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
944 fprintf(stdout, "Generator as octet string, compressed form:\n ");
945 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
946#endif
947
948 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
949 if (len == 0) ABORT;
950 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
951 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
952 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
953 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
954
955/* Change test based on whether binary point compression is enabled or not. */
956#ifdef OPENSSL_EC_BIN_PT_COMP
957 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
958 if (len == 0) ABORT;
959 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
960 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
961 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
962 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
963#endif
964
965 fprintf(stdout, "\n");
966
967 if (!EC_POINT_invert(group, P, ctx)) ABORT;
968 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
969
970
971 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
972 CHAR2_CURVE_TEST
973 (
974 "NIST curve K-163",
975 "0800000000000000000000000000000000000000C9",
976 "1",
977 "1",
978 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
979 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
980 1,
981 "04000000000000000000020108A2E0CC0D99F8A5EF",
982 "2",
983 163,
984 C2_K163
985 );
986
987 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
988 CHAR2_CURVE_TEST
989 (
990 "NIST curve B-163",
991 "0800000000000000000000000000000000000000C9",
992 "1",
993 "020A601907B8C953CA1481EB10512F78744A3205FD",
994 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
995 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
996 1,
997 "040000000000000000000292FE77E70C12A4234C33",
998 "2",
999 163,
1000 C2_B163
1001 );
1002
1003 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1004 CHAR2_CURVE_TEST
1005 (
1006 "NIST curve K-233",
1007 "020000000000000000000000000000000000000004000000000000000001",
1008 "0",
1009 "1",
1010 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1011 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1012 0,
1013 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1014 "4",
1015 233,
1016 C2_K233
1017 );
1018
1019 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1020 CHAR2_CURVE_TEST
1021 (
1022 "NIST curve B-233",
1023 "020000000000000000000000000000000000000004000000000000000001",
1024 "000000000000000000000000000000000000000000000000000000000001",
1025 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1026 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1027 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1028 1,
1029 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1030 "2",
1031 233,
1032 C2_B233
1033 );
1034
1035 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1036 CHAR2_CURVE_TEST
1037 (
1038 "NIST curve K-283",
1039 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1040 "0",
1041 "1",
1042 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1043 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1044 0,
1045 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1046 "4",
1047 283,
1048 C2_K283
1049 );
1050
1051 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1052 CHAR2_CURVE_TEST
1053 (
1054 "NIST curve B-283",
1055 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1056 "000000000000000000000000000000000000000000000000000000000000000000000001",
1057 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1058 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1059 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1060 1,
1061 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1062 "2",
1063 283,
1064 C2_B283
1065 );
1066
1067 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1068 CHAR2_CURVE_TEST
1069 (
1070 "NIST curve K-409",
1071 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1072 "0",
1073 "1",
1074 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1075 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1076 1,
1077 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1078 "4",
1079 409,
1080 C2_K409
1081 );
1082
1083 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1084 CHAR2_CURVE_TEST
1085 (
1086 "NIST curve B-409",
1087 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1088 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1089 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1090 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1091 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1092 1,
1093 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1094 "2",
1095 409,
1096 C2_B409
1097 );
1098
1099 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1100 CHAR2_CURVE_TEST
1101 (
1102 "NIST curve K-571",
1103 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1104 "0",
1105 "1",
1106 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1107 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1108 0,
1109 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1110 "4",
1111 571,
1112 C2_K571
1113 );
1114
1115 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1116 CHAR2_CURVE_TEST
1117 (
1118 "NIST curve B-571",
1119 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1120 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1121 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1122 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1123 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1124 1,
1125 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1126 "2",
1127 571,
1128 C2_B571
1129 );
1130
1131 /* more tests using the last curve */
1132
1133 if (!EC_POINT_copy(Q, P)) ABORT;
1134 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1135 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1136 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1137 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1138
1139 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1140 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1141 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1142
1143 {
1144 const EC_POINT *points[3];
1145 const BIGNUM *scalars[3];
1146
1147 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1148 points[0] = Q;
1149 points[1] = Q;
1150 points[2] = Q;
1151
1152 if (!BN_add(y, z, BN_value_one())) ABORT;
1153 if (BN_is_odd(y)) ABORT;
1154 if (!BN_rshift1(y, y)) ABORT;
1155 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1156 scalars[1] = y;
1157
1158 fprintf(stdout, "combined multiplication ...");
1159 fflush(stdout);
1160
1161 /* z is still the group order */
1162 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1163 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1164 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1165 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1166
1167 fprintf(stdout, ".");
1168 fflush(stdout);
1169
1170 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1171 if (!BN_add(z, z, y)) ABORT;
ff22e913 1172 BN_set_negative(z, 1);
7793f30e
BM		 1173 scalars[0] = y;
1174 scalars[1] = z; /* z = -(order + y) */
1175
1176 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1177 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1178
1179 fprintf(stdout, ".");
1180 fflush(stdout);
1181
1182 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1183 if (!BN_add(z, x, y)) ABORT;
ff22e913 1184 BN_set_negative(z, 1);
7793f30e
BM		 1185 scalars[0] = x;
1186 scalars[1] = y;
1187 scalars[2] = z; /* z = -(x+y) */
1188
1189 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1190 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1191
1192 fprintf(stdout, " ok\n\n");
1193 }
1194
1195
1196#if 0
652ae06b
BM		 1197 timings(C2_K163, TIMING_BASE_PT, ctx);
1198 timings(C2_K163, TIMING_RAND_PT, ctx);
1199 timings(C2_K163, TIMING_SIMUL, ctx);
1200 timings(C2_B163, TIMING_BASE_PT, ctx);
1201 timings(C2_B163, TIMING_RAND_PT, ctx);
1202 timings(C2_B163, TIMING_SIMUL, ctx);
1203 timings(C2_K233, TIMING_BASE_PT, ctx);
1204 timings(C2_K233, TIMING_RAND_PT, ctx);
1205 timings(C2_K233, TIMING_SIMUL, ctx);
1206 timings(C2_B233, TIMING_BASE_PT, ctx);
1207 timings(C2_B233, TIMING_RAND_PT, ctx);
1208 timings(C2_B233, TIMING_SIMUL, ctx);
1209 timings(C2_K283, TIMING_BASE_PT, ctx);
1210 timings(C2_K283, TIMING_RAND_PT, ctx);
1211 timings(C2_K283, TIMING_SIMUL, ctx);
1212 timings(C2_B283, TIMING_BASE_PT, ctx);
1213 timings(C2_B283, TIMING_RAND_PT, ctx);
1214 timings(C2_B283, TIMING_SIMUL, ctx);
1215 timings(C2_K409, TIMING_BASE_PT, ctx);
1216 timings(C2_K409, TIMING_RAND_PT, ctx);
1217 timings(C2_K409, TIMING_SIMUL, ctx);
1218 timings(C2_B409, TIMING_BASE_PT, ctx);
1219 timings(C2_B409, TIMING_RAND_PT, ctx);
1220 timings(C2_B409, TIMING_SIMUL, ctx);
1221 timings(C2_K571, TIMING_BASE_PT, ctx);
1222 timings(C2_K571, TIMING_RAND_PT, ctx);
1223 timings(C2_K571, TIMING_SIMUL, ctx);
1224 timings(C2_B571, TIMING_BASE_PT, ctx);
1225 timings(C2_B571, TIMING_RAND_PT, ctx);
1226 timings(C2_B571, TIMING_SIMUL, ctx);
7793f30e
BM		 1227#endif
1228
1229
1230 if (ctx)
1231 BN_CTX_free(ctx);
1232 BN_free(p); BN_free(a); BN_free(b);
1233 EC_GROUP_free(group);
1234 EC_POINT_free(P);
1235 EC_POINT_free(Q);
1236 EC_POINT_free(R);
1237 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1238
1239 if (C2_K163) EC_GROUP_free(C2_K163);
1240 if (C2_B163) EC_GROUP_free(C2_B163);
1241 if (C2_K233) EC_GROUP_free(C2_K233);
1242 if (C2_B233) EC_GROUP_free(C2_B233);
1243 if (C2_K283) EC_GROUP_free(C2_K283);
1244 if (C2_B283) EC_GROUP_free(C2_B283);
1245 if (C2_K409) EC_GROUP_free(C2_K409);
1246 if (C2_B409) EC_GROUP_free(C2_B409);
1247 if (C2_K571) EC_GROUP_free(C2_K571);
1248 if (C2_B571) EC_GROUP_free(C2_B571);
1249
1250 }
b3310161 1251#endif
7793f30e 1252
5df2a249 1253static void internal_curve_test(void)
d742bd88
BM		 1254 {
1255 EC_builtin_curve *curves = NULL;
1256 size_t crv_len = 0, n = 0;
1257 int ok = 1;
1258
1259 crv_len = EC_get_builtin_curves(NULL, 0);
1260
1261 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1262
1263 if (curves == NULL)
1264 return;
1265
1266 if (!EC_get_builtin_curves(curves, crv_len))
1267 {
1268 OPENSSL_free(curves);
1269 return;
1270 }
1271
1272 fprintf(stdout, "testing internal curves: ");
1273
1274 for (n = 0; n < crv_len; n++)
1275 {
1276 EC_GROUP *group = NULL;
1277 int nid = curves[n].nid;
8b15c740 1278 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
d742bd88
BM		 1279 {
1280 ok = 0;
8b15c740 1281 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
d742bd88
BM		 1282 " curve %s\n", OBJ_nid2sn(nid));
1283 /* try next curve */
1284 continue;
1285 }
1286 if (!EC_GROUP_check(group, NULL))
1287 {
1288 ok = 0;
1289 fprintf(stdout, "\nEC_GROUP_check() failed with"
1290 " curve %s\n", OBJ_nid2sn(nid));
1291 EC_GROUP_free(group);
1292 /* try the next curve */
1293 continue;
1294 }
1295 fprintf(stdout, ".");
1296 fflush(stdout);
1297 EC_GROUP_free(group);
1298 }
1299 if (ok)
04daec86 1300 fprintf(stdout, " ok\n\n");
d742bd88 1301 else
3e00b4c9 1302 {
04daec86 1303 fprintf(stdout, " failed\n\n");
3e00b4c9
BM		 1304 ABORT;
1305 }
d742bd88
BM		 1306 OPENSSL_free(curves);
1307 return;
1308 }
1309
e0d6132b 1310#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
3e00b4c9
BM		 1311/* nistp_test_params contains magic numbers for testing our optimized
1312 * implementations of several NIST curves with characteristic > 3. */
1313struct nistp_test_params
1314 {
1315 const EC_METHOD* (*meth) ();
1316 int degree;
1317 /* Qx, Qy and D are taken from
1318 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1319 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1320 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1321 };
1322
1323static const struct nistp_test_params nistp_tests_params[] =
1324 {
1325 {
1326 /* P-224 */
1327 EC_GFp_nistp224_method,
1328 224,
1329 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1330 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1331 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1332 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1333 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1334 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1335 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1336 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1337 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1338 },
1339 {
1340 /* P-256 */
1341 EC_GFp_nistp256_method,
1342 256,
1343 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1344 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1345 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1346 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1347 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1348 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1349 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1350 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1351 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1352 },
1353 {
1354 /* P-521 */
1355 EC_GFp_nistp521_method,
1356 521,
1357 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1358 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1359 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1360 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1361 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1362 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1363 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1364 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1365 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1366 },
1367 };
1368
1369void nistp_single_test(const struct nistp_test_params *test)
04daec86 1370 {
e0d6132b 1371 BN_CTX *ctx;
04daec86 1372 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
e0d6132b
BM		 1373 EC_GROUP *NISTP;
1374 EC_POINT *G, *P, *Q, *Q_CHECK;
1375
1376 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1377 ctx = BN_CTX_new();
04daec86
BM		 1378 p = BN_new();
1379 a = BN_new();
1380 b = BN_new();
1381 x = BN_new(); y = BN_new();
1382 m = BN_new(); n = BN_new(); order = BN_new();
eb8ef241 1383
3e00b4c9
BM		 1384 NISTP = EC_GROUP_new(test->meth());
1385 if(!NISTP) ABORT;
1386 if (!BN_hex2bn(&p, test->p)) ABORT;
04daec86 1387 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
3e00b4c9
BM		 1388 if (!BN_hex2bn(&a, test->a)) ABORT;
1389 if (!BN_hex2bn(&b, test->b)) ABORT;
1390 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1391 G = EC_POINT_new(NISTP);
1392 P = EC_POINT_new(NISTP);
1393 Q = EC_POINT_new(NISTP);
1394 Q_CHECK = EC_POINT_new(NISTP);
1395 if(!BN_hex2bn(&x, test->Qx)) ABORT;
1396 if(!BN_hex2bn(&y, test->Qy)) ABORT;
1397 if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1398 if (!BN_hex2bn(&x, test->Gx)) ABORT;
1399 if (!BN_hex2bn(&y, test->Gy)) ABORT;
1400 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1401 if (!BN_hex2bn(&order, test->order)) ABORT;
1402 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
04daec86
BM		 1403
1404 fprintf(stdout, "verify degree ... ");
3e00b4c9 1405 if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
04daec86
BM		 1406 fprintf(stdout, "ok\n");
1407
1408 fprintf(stdout, "NIST test vectors ... ");
3e00b4c9 1409 if (!BN_hex2bn(&n, test->d)) ABORT;
04daec86 1410 /* fixed point multiplication */
3e00b4c9
BM		 1411 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1412 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1413 /* random point multiplication */
3e00b4c9
BM		 1414 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1415 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1416
1417 /* set generator to P = 2*G, where G is the standard generator */
3e00b4c9
BM		 1418 if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1419 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
04daec86
BM		 1420 /* set the scalar to m=n/2, where n is the NIST test scalar */
1421 if (!BN_rshift(m, n, 1)) ABORT;
1422
1423 /* test the non-standard generator */
1424 /* fixed point multiplication */
3e00b4c9
BM		 1425 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1426 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1427 /* random point multiplication */
3e00b4c9
BM		 1428 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1429 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1430
1431 /* now repeat all tests with precomputation */
3e00b4c9 1432 if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
04daec86
BM		 1433
1434 /* fixed point multiplication */
3e00b4c9
BM		 1435 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1436 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1437 /* random point multiplication */
3e00b4c9
BM		 1438 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1439 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1440
1441 /* reset generator */
3e00b4c9 1442 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
04daec86 1443 /* fixed point multiplication */
3e00b4c9
BM		 1444 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1445 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86 1446 /* random point multiplication */
3e00b4c9
BM		 1447 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1448 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
04daec86
BM		 1449
1450 fprintf(stdout, "ok\n");
3e00b4c9 1451 group_order_tests(NISTP);
04daec86 1452#if 0
3e00b4c9
BM		 1453 timings(NISTP, TIMING_BASE_PT, ctx);
1454 timings(NISTP, TIMING_RAND_PT, ctx);
04daec86 1455#endif
3e00b4c9 1456 EC_GROUP_free(NISTP);
04daec86
BM		 1457 EC_POINT_free(G);
1458 EC_POINT_free(P);
1459 EC_POINT_free(Q);
1460 EC_POINT_free(Q_CHECK);
1461 BN_free(n);
1462 BN_free(m);
1463 BN_free(p);
1464 BN_free(a);
1465 BN_free(b);
1466 BN_free(x);
1467 BN_free(y);
1468 BN_free(order);
1469 BN_CTX_free(ctx);
1470 }
3e00b4c9
BM		 1471
1472void nistp_tests()
1473 {
1474 unsigned i;
1475
1476 for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1477 {
1478 nistp_single_test(&nistp_tests_params[i]);
1479 }
1480 }
04daec86
BM		 1481#endif
1482
7793f30e
BM		 1483static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1484
1485int main(int argc, char *argv[])
1486 {
1487
1488 /* enable memory leak checking unless explicitly disabled */
1489 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1490 {
1491 CRYPTO_malloc_debug_init();
1492 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1493 }
1494 else
1495 {
1496 /* OPENSSL_DEBUG_MEMORY=off */
1497 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1498 }
1499 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1500 ERR_load_crypto_strings();
1501
1502 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1503
1504 prime_field_tests();
848c8495 1505 puts("");
b3310161 1506#ifndef OPENSSL_NO_EC2M
7793f30e 1507 char2_field_tests();
b3310161 1508#endif
e0d6132b 1509#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
3e00b4c9 1510 nistp_tests();
04daec86 1511#endif
d742bd88
BM		 1512 /* test the internal curves */
1513 internal_curve_test();
7793f30e 1514
0b13e9f0 1515#ifndef OPENSSL_NO_ENGINE
b8e2f83a 1516 ENGINE_cleanup();
0b13e9f0 1517#endif
79aa04ef 1518 CRYPTO_cleanup_all_ex_data();
bb62a8b0 1519 ERR_free_strings();
4c329696 1520 ERR_remove_thread_state(NULL);
bb62a8b0
BM		 1521 CRYPTO_mem_leaks_fp(stderr);
1522
adfe54b7
BM		 1523 return 0;
1524 }
bb62a8b0 1525#endif
A mirror of the official openssl repository