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62763f68 | 1 | /* crypto/ec/ectest.c */ |
35b73a1f BM |
2 | /* |
3 | * Originally written by Bodo Moeller for the OpenSSL project. | |
4 | */ | |
62763f68 BM |
5 | /* ==================================================================== |
6 | * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. | |
7 | * | |
8 | * Redistribution and use in source and binary forms, with or without | |
9 | * modification, are permitted provided that the following conditions | |
10 | * are met: | |
11 | * | |
12 | * 1. Redistributions of source code must retain the above copyright | |
0f113f3e | 13 | * notice, this list of conditions and the following disclaimer. |
62763f68 BM |
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 | * | |
0f113f3e | 61 | * Portions of the attached software ("Contribution") are developed by |
7793f30e BM |
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 | * | |
0f113f3e | 67 | * The elliptic curve binary polynomial software is originally written by |
7793f30e BM |
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 | 74 | #ifdef FLAT_INC |
0f113f3e | 75 | # include "e_os.h" |
0bf23d9b | 76 | #else |
0f113f3e | 77 | # include "../e_os.h" |
0bf23d9b | 78 | #endif |
413a4a04 | 79 | #include <string.h> |
48fe4d62 | 80 | #include <time.h> |
adfe54b7 | 81 | |
bb62a8b0 | 82 | #ifdef OPENSSL_NO_EC |
0f113f3e MC |
83 | int main(int argc, char *argv[]) |
84 | { | |
85 | puts("Elliptic curves are disabled."); | |
86 | return 0; | |
87 | } | |
bb62a8b0 BM |
88 | #else |
89 | ||
0f113f3e MC |
90 | # include <openssl/ec.h> |
91 | # ifndef OPENSSL_NO_ENGINE | |
92 | # include <openssl/engine.h> | |
93 | # endif | |
94 | # include <openssl/err.h> | |
95 | # include <openssl/obj_mac.h> | |
96 | # include <openssl/objects.h> | |
97 | # include <openssl/rand.h> | |
98 | # include <openssl/bn.h> | |
99 | # include <openssl/opensslconf.h> | |
100 | ||
101 | # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) | |
0491e058 | 102 | /* suppress "too big too optimize" warning */ |
0f113f3e MC |
103 | # pragma warning(disable:4959) |
104 | # endif | |
105 | ||
106 | # define ABORT do { \ | |
107 | fflush(stdout); \ | |
108 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ | |
109 | ERR_print_errors_fp(stderr); \ | |
110 | EXIT(1); \ | |
adfe54b7 BM |
111 | } while (0) |
112 | ||
0f113f3e MC |
113 | # define TIMING_BASE_PT 0 |
114 | # define TIMING_RAND_PT 1 | |
115 | # define TIMING_SIMUL 2 | |
652ae06b | 116 | |
04daec86 BM |
117 | /* test multiplication with group order, long and negative scalars */ |
118 | static void group_order_tests(EC_GROUP *group) | |
0f113f3e MC |
119 | { |
120 | BIGNUM *n1, *n2, *order; | |
121 | EC_POINT *P = EC_POINT_new(group); | |
122 | EC_POINT *Q = EC_POINT_new(group); | |
123 | BN_CTX *ctx = BN_CTX_new(); | |
124 | int i; | |
125 | ||
126 | n1 = BN_new(); | |
127 | n2 = BN_new(); | |
128 | order = BN_new(); | |
129 | fprintf(stdout, "verify group order ..."); | |
130 | fflush(stdout); | |
131 | if (!EC_GROUP_get_order(group, order, ctx)) | |
132 | ABORT; | |
133 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
134 | ABORT; | |
135 | if (!EC_POINT_is_at_infinity(group, Q)) | |
136 | ABORT; | |
137 | fprintf(stdout, "."); | |
138 | fflush(stdout); | |
139 | if (!EC_GROUP_precompute_mult(group, ctx)) | |
140 | ABORT; | |
141 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
142 | ABORT; | |
143 | if (!EC_POINT_is_at_infinity(group, Q)) | |
144 | ABORT; | |
145 | fprintf(stdout, " ok\n"); | |
146 | fprintf(stdout, "long/negative scalar tests "); | |
147 | for (i = 1; i <= 2; i++) { | |
148 | const BIGNUM *scalars[6]; | |
149 | const EC_POINT *points[6]; | |
150 | ||
151 | fprintf(stdout, i == 1 ? | |
152 | "allowing precomputation ... " : | |
153 | "without precomputation ... "); | |
154 | if (!BN_set_word(n1, i)) | |
155 | ABORT; | |
156 | /* | |
157 | * If i == 1, P will be the predefined generator for which | |
158 | * EC_GROUP_precompute_mult has set up precomputation. | |
159 | */ | |
160 | if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) | |
161 | ABORT; | |
162 | ||
163 | if (!BN_one(n1)) | |
164 | ABORT; | |
165 | /* n1 = 1 - order */ | |
166 | if (!BN_sub(n1, n1, order)) | |
167 | ABORT; | |
168 | if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) | |
169 | ABORT; | |
170 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
171 | ABORT; | |
172 | ||
173 | /* n2 = 1 + order */ | |
174 | if (!BN_add(n2, order, BN_value_one())) | |
175 | ABORT; | |
176 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
177 | ABORT; | |
178 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
179 | ABORT; | |
180 | ||
181 | /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ | |
182 | if (!BN_mul(n2, n1, n2, ctx)) | |
183 | ABORT; | |
184 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
185 | ABORT; | |
186 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
187 | ABORT; | |
188 | ||
189 | /* n2 = order^2 - 1 */ | |
190 | BN_set_negative(n2, 0); | |
191 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
192 | ABORT; | |
193 | /* Add P to verify the result. */ | |
194 | if (!EC_POINT_add(group, Q, Q, P, ctx)) | |
195 | ABORT; | |
196 | if (!EC_POINT_is_at_infinity(group, Q)) | |
197 | ABORT; | |
198 | ||
199 | /* Exercise EC_POINTs_mul, including corner cases. */ | |
200 | if (EC_POINT_is_at_infinity(group, P)) | |
201 | ABORT; | |
202 | scalars[0] = n1; | |
203 | points[0] = Q; /* => infinity */ | |
204 | scalars[1] = n2; | |
205 | points[1] = P; /* => -P */ | |
206 | scalars[2] = n1; | |
207 | points[2] = Q; /* => infinity */ | |
208 | scalars[3] = n2; | |
209 | points[3] = Q; /* => infinity */ | |
210 | scalars[4] = n1; | |
211 | points[4] = P; /* => P */ | |
212 | scalars[5] = n2; | |
213 | points[5] = Q; /* => infinity */ | |
214 | if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) | |
215 | ABORT; | |
216 | if (!EC_POINT_is_at_infinity(group, P)) | |
217 | ABORT; | |
218 | } | |
219 | fprintf(stdout, "ok\n"); | |
220 | ||
221 | EC_POINT_free(P); | |
222 | EC_POINT_free(Q); | |
223 | BN_free(n1); | |
224 | BN_free(n2); | |
225 | BN_free(order); | |
226 | BN_CTX_free(ctx); | |
227 | } | |
04daec86 | 228 | |
c13d7c02 | 229 | static void prime_field_tests(void) |
0f113f3e MC |
230 | { |
231 | BN_CTX *ctx = NULL; | |
232 | BIGNUM *p, *a, *b; | |
233 | EC_GROUP *group; | |
234 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = | |
235 | NULL, *P_384 = NULL, *P_521 = NULL; | |
236 | EC_POINT *P, *Q, *R; | |
237 | BIGNUM *x, *y, *z; | |
238 | unsigned char buf[100]; | |
239 | size_t i, len; | |
240 | int k; | |
241 | ||
0f113f3e MC |
242 | ctx = BN_CTX_new(); |
243 | if (!ctx) | |
244 | ABORT; | |
0f113f3e MC |
245 | |
246 | p = BN_new(); | |
247 | a = BN_new(); | |
248 | b = BN_new(); | |
249 | if (!p || !a || !b) | |
250 | ABORT; | |
251 | ||
252 | if (!BN_hex2bn(&p, "17")) | |
253 | ABORT; | |
254 | if (!BN_hex2bn(&a, "1")) | |
255 | ABORT; | |
256 | if (!BN_hex2bn(&b, "1")) | |
257 | ABORT; | |
258 | ||
259 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use | |
260 | * EC_GROUP_new_curve_GFp so | |
261 | * that the library gets to | |
262 | * choose the EC_METHOD */ | |
263 | if (!group) | |
264 | ABORT; | |
265 | ||
266 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
267 | ABORT; | |
268 | ||
269 | { | |
270 | EC_GROUP *tmp; | |
271 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
272 | if (!tmp) | |
273 | ABORT; | |
274 | if (!EC_GROUP_copy(tmp, group)) | |
275 | ABORT; | |
276 | EC_GROUP_free(group); | |
277 | group = tmp; | |
278 | } | |
279 | ||
280 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) | |
281 | ABORT; | |
282 | ||
283 | fprintf(stdout, | |
284 | "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); | |
285 | BN_print_fp(stdout, p); | |
286 | fprintf(stdout, ")\n a = 0x"); | |
287 | BN_print_fp(stdout, a); | |
288 | fprintf(stdout, "\n b = 0x"); | |
289 | BN_print_fp(stdout, b); | |
290 | fprintf(stdout, "\n"); | |
291 | ||
292 | P = EC_POINT_new(group); | |
293 | Q = EC_POINT_new(group); | |
294 | R = EC_POINT_new(group); | |
295 | if (!P || !Q || !R) | |
296 | ABORT; | |
297 | ||
298 | if (!EC_POINT_set_to_infinity(group, P)) | |
299 | ABORT; | |
300 | if (!EC_POINT_is_at_infinity(group, P)) | |
301 | ABORT; | |
302 | ||
303 | buf[0] = 0; | |
304 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
305 | ABORT; | |
306 | ||
307 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
308 | ABORT; | |
309 | if (!EC_POINT_is_at_infinity(group, P)) | |
310 | ABORT; | |
311 | ||
312 | x = BN_new(); | |
313 | y = BN_new(); | |
314 | z = BN_new(); | |
315 | if (!x || !y || !z) | |
316 | ABORT; | |
317 | ||
318 | if (!BN_hex2bn(&x, "D")) | |
319 | ABORT; | |
320 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) | |
321 | ABORT; | |
322 | if (!EC_POINT_is_on_curve(group, Q, ctx)) { | |
323 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) | |
324 | ABORT; | |
325 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
326 | BN_print_fp(stderr, x); | |
327 | fprintf(stderr, ", y = 0x"); | |
328 | BN_print_fp(stderr, y); | |
329 | fprintf(stderr, "\n"); | |
330 | ABORT; | |
331 | } | |
332 | ||
333 | fprintf(stdout, "A cyclic subgroup:\n"); | |
334 | k = 100; | |
335 | do { | |
336 | if (k-- == 0) | |
337 | ABORT; | |
338 | ||
339 | if (EC_POINT_is_at_infinity(group, P)) | |
340 | fprintf(stdout, " point at infinity\n"); | |
341 | else { | |
342 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
343 | ABORT; | |
344 | ||
345 | fprintf(stdout, " x = 0x"); | |
346 | BN_print_fp(stdout, x); | |
347 | fprintf(stdout, ", y = 0x"); | |
348 | BN_print_fp(stdout, y); | |
349 | fprintf(stdout, "\n"); | |
350 | } | |
351 | ||
352 | if (!EC_POINT_copy(R, P)) | |
353 | ABORT; | |
354 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
355 | ABORT; | |
356 | ||
0f113f3e MC |
357 | } |
358 | while (!EC_POINT_is_at_infinity(group, P)); | |
359 | ||
360 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
361 | ABORT; | |
362 | if (!EC_POINT_is_at_infinity(group, P)) | |
363 | ABORT; | |
364 | ||
365 | len = | |
366 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
367 | sizeof buf, ctx); | |
368 | if (len == 0) | |
369 | ABORT; | |
370 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
371 | ABORT; | |
372 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
373 | ABORT; | |
374 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
375 | for (i = 0; i < len; i++) | |
376 | fprintf(stdout, "%02X", buf[i]); | |
377 | ||
378 | len = | |
379 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
380 | sizeof buf, ctx); | |
381 | if (len == 0) | |
382 | ABORT; | |
383 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
384 | ABORT; | |
385 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
386 | ABORT; | |
387 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
388 | for (i = 0; i < len; i++) | |
389 | fprintf(stdout, "%02X", buf[i]); | |
390 | ||
391 | len = | |
392 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
393 | ctx); | |
394 | if (len == 0) | |
395 | ABORT; | |
396 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
397 | ABORT; | |
398 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
399 | ABORT; | |
400 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
401 | for (i = 0; i < len; i++) | |
402 | fprintf(stdout, "%02X", buf[i]); | |
403 | ||
404 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) | |
405 | ABORT; | |
406 | fprintf(stdout, | |
407 | "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
408 | BN_print_fp(stdout, x); | |
409 | fprintf(stdout, ", Y = 0x"); | |
410 | BN_print_fp(stdout, y); | |
411 | fprintf(stdout, ", Z = 0x"); | |
412 | BN_print_fp(stdout, z); | |
413 | fprintf(stdout, "\n"); | |
414 | ||
415 | if (!EC_POINT_invert(group, P, ctx)) | |
416 | ABORT; | |
417 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
418 | ABORT; | |
419 | ||
420 | /* | |
421 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
422 | * 2000) -- not a NIST curve, but commonly used | |
423 | */ | |
424 | ||
425 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
426 | ABORT; | |
427 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
428 | ABORT; | |
429 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
430 | ABORT; | |
431 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
432 | ABORT; | |
433 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
434 | ABORT; | |
435 | ||
436 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) | |
437 | ABORT; | |
438 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) | |
439 | ABORT; | |
440 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
441 | ABORT; | |
442 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
443 | ABORT; | |
444 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) | |
445 | ABORT; | |
446 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
447 | ABORT; | |
448 | ||
449 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
450 | ABORT; | |
451 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
452 | BN_print_fp(stdout, x); | |
453 | fprintf(stdout, "\n y = 0x"); | |
454 | BN_print_fp(stdout, y); | |
455 | fprintf(stdout, "\n"); | |
456 | /* G_y value taken from the standard: */ | |
457 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) | |
458 | ABORT; | |
459 | if (0 != BN_cmp(y, z)) | |
460 | ABORT; | |
461 | ||
462 | fprintf(stdout, "verify degree ..."); | |
463 | if (EC_GROUP_get_degree(group) != 160) | |
464 | ABORT; | |
465 | fprintf(stdout, " ok\n"); | |
466 | ||
467 | group_order_tests(group); | |
468 | ||
469 | if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
470 | ABORT; | |
471 | if (!EC_GROUP_copy(P_160, group)) | |
472 | ABORT; | |
473 | ||
474 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
475 | ||
476 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
477 | ABORT; | |
478 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
479 | ABORT; | |
480 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
481 | ABORT; | |
482 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) | |
483 | ABORT; | |
484 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
485 | ABORT; | |
486 | ||
487 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) | |
488 | ABORT; | |
489 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
490 | ABORT; | |
491 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
492 | ABORT; | |
493 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) | |
494 | ABORT; | |
495 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
496 | ABORT; | |
497 | ||
498 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
499 | ABORT; | |
500 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
501 | BN_print_fp(stdout, x); | |
502 | fprintf(stdout, "\n y = 0x"); | |
503 | BN_print_fp(stdout, y); | |
504 | fprintf(stdout, "\n"); | |
505 | /* G_y value taken from the standard: */ | |
506 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) | |
507 | ABORT; | |
508 | if (0 != BN_cmp(y, z)) | |
509 | ABORT; | |
510 | ||
511 | fprintf(stdout, "verify degree ..."); | |
512 | if (EC_GROUP_get_degree(group) != 192) | |
513 | ABORT; | |
514 | fprintf(stdout, " ok\n"); | |
515 | ||
516 | group_order_tests(group); | |
517 | ||
518 | if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
519 | ABORT; | |
520 | if (!EC_GROUP_copy(P_192, group)) | |
521 | ABORT; | |
522 | ||
523 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
524 | ||
525 | if (!BN_hex2bn | |
526 | (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) | |
527 | ABORT; | |
528 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
529 | ABORT; | |
530 | if (!BN_hex2bn | |
531 | (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
532 | ABORT; | |
533 | if (!BN_hex2bn | |
534 | (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) | |
535 | ABORT; | |
536 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
537 | ABORT; | |
538 | ||
539 | if (!BN_hex2bn | |
540 | (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) | |
541 | ABORT; | |
542 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
543 | ABORT; | |
544 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
545 | ABORT; | |
546 | if (!BN_hex2bn | |
547 | (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
548 | ABORT; | |
549 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
550 | ABORT; | |
551 | ||
552 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
553 | ABORT; | |
554 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
555 | BN_print_fp(stdout, x); | |
556 | fprintf(stdout, "\n y = 0x"); | |
557 | BN_print_fp(stdout, y); | |
558 | fprintf(stdout, "\n"); | |
559 | /* G_y value taken from the standard: */ | |
560 | if (!BN_hex2bn | |
561 | (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) | |
562 | ABORT; | |
563 | if (0 != BN_cmp(y, z)) | |
564 | ABORT; | |
565 | ||
566 | fprintf(stdout, "verify degree ..."); | |
567 | if (EC_GROUP_get_degree(group) != 224) | |
568 | ABORT; | |
569 | fprintf(stdout, " ok\n"); | |
570 | ||
571 | group_order_tests(group); | |
572 | ||
573 | if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
574 | ABORT; | |
575 | if (!EC_GROUP_copy(P_224, group)) | |
576 | ABORT; | |
577 | ||
578 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
579 | ||
580 | if (!BN_hex2bn | |
581 | (&p, | |
582 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
583 | ABORT; | |
584 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
585 | ABORT; | |
586 | if (!BN_hex2bn | |
587 | (&a, | |
588 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
589 | ABORT; | |
590 | if (!BN_hex2bn | |
591 | (&b, | |
592 | "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) | |
593 | ABORT; | |
594 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
595 | ABORT; | |
596 | ||
597 | if (!BN_hex2bn | |
598 | (&x, | |
599 | "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) | |
600 | ABORT; | |
601 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
602 | ABORT; | |
603 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
604 | ABORT; | |
605 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
606 | "84F3B9CAC2FC632551")) | |
607 | ABORT; | |
608 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
609 | ABORT; | |
610 | ||
611 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
612 | ABORT; | |
613 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
614 | BN_print_fp(stdout, x); | |
615 | fprintf(stdout, "\n y = 0x"); | |
616 | BN_print_fp(stdout, y); | |
617 | fprintf(stdout, "\n"); | |
618 | /* G_y value taken from the standard: */ | |
619 | if (!BN_hex2bn | |
620 | (&z, | |
621 | "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) | |
622 | ABORT; | |
623 | if (0 != BN_cmp(y, z)) | |
624 | ABORT; | |
625 | ||
626 | fprintf(stdout, "verify degree ..."); | |
627 | if (EC_GROUP_get_degree(group) != 256) | |
628 | ABORT; | |
629 | fprintf(stdout, " ok\n"); | |
630 | ||
631 | group_order_tests(group); | |
632 | ||
633 | if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
634 | ABORT; | |
635 | if (!EC_GROUP_copy(P_256, group)) | |
636 | ABORT; | |
637 | ||
638 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
639 | ||
640 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
641 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) | |
642 | ABORT; | |
643 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
644 | ABORT; | |
645 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
646 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) | |
647 | ABORT; | |
648 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
649 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
650 | ABORT; | |
651 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
652 | ABORT; | |
653 | ||
654 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
655 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) | |
656 | ABORT; | |
657 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
658 | ABORT; | |
659 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
660 | ABORT; | |
661 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
662 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) | |
663 | ABORT; | |
664 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
665 | ABORT; | |
666 | ||
667 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
668 | ABORT; | |
669 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
670 | BN_print_fp(stdout, x); | |
671 | fprintf(stdout, "\n y = 0x"); | |
672 | BN_print_fp(stdout, y); | |
673 | fprintf(stdout, "\n"); | |
674 | /* G_y value taken from the standard: */ | |
675 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
676 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
677 | ABORT; | |
678 | if (0 != BN_cmp(y, z)) | |
679 | ABORT; | |
680 | ||
681 | fprintf(stdout, "verify degree ..."); | |
682 | if (EC_GROUP_get_degree(group) != 384) | |
683 | ABORT; | |
684 | fprintf(stdout, " ok\n"); | |
685 | ||
686 | group_order_tests(group); | |
687 | ||
688 | if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
689 | ABORT; | |
690 | if (!EC_GROUP_copy(P_384, group)) | |
691 | ABORT; | |
692 | ||
693 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
694 | ||
695 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
696 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
697 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
698 | ABORT; | |
699 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
700 | ABORT; | |
701 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
702 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
703 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
704 | ABORT; | |
705 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
706 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
707 | "DF883D2C34F1EF451FD46B503F00")) | |
708 | ABORT; | |
709 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
710 | ABORT; | |
711 | ||
712 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
713 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
714 | "3C1856A429BF97E7E31C2E5BD66")) | |
715 | ABORT; | |
716 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
717 | ABORT; | |
718 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
719 | ABORT; | |
720 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
721 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
722 | "C9B8899C47AEBB6FB71E91386409")) | |
723 | ABORT; | |
724 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
725 | ABORT; | |
726 | ||
727 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
728 | ABORT; | |
729 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
730 | BN_print_fp(stdout, x); | |
731 | fprintf(stdout, "\n y = 0x"); | |
732 | BN_print_fp(stdout, y); | |
733 | fprintf(stdout, "\n"); | |
734 | /* G_y value taken from the standard: */ | |
735 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
736 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
737 | "7086A272C24088BE94769FD16650")) | |
738 | ABORT; | |
739 | if (0 != BN_cmp(y, z)) | |
740 | ABORT; | |
741 | ||
742 | fprintf(stdout, "verify degree ..."); | |
743 | if (EC_GROUP_get_degree(group) != 521) | |
744 | ABORT; | |
745 | fprintf(stdout, " ok\n"); | |
746 | ||
747 | group_order_tests(group); | |
748 | ||
749 | if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) | |
750 | ABORT; | |
751 | if (!EC_GROUP_copy(P_521, group)) | |
752 | ABORT; | |
753 | ||
754 | /* more tests using the last curve */ | |
755 | ||
756 | if (!EC_POINT_copy(Q, P)) | |
757 | ABORT; | |
758 | if (EC_POINT_is_at_infinity(group, Q)) | |
759 | ABORT; | |
760 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
761 | ABORT; | |
762 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
763 | ABORT; | |
764 | if (!EC_POINT_invert(group, Q, ctx)) | |
765 | ABORT; /* P = -2Q */ | |
766 | ||
767 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
768 | ABORT; | |
769 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
770 | ABORT; | |
771 | if (!EC_POINT_is_at_infinity(group, R)) | |
772 | ABORT; /* R = P + 2Q */ | |
773 | ||
774 | { | |
775 | const EC_POINT *points[4]; | |
776 | const BIGNUM *scalars[4]; | |
777 | BIGNUM *scalar3; | |
778 | ||
779 | if (EC_POINT_is_at_infinity(group, Q)) | |
780 | ABORT; | |
781 | points[0] = Q; | |
782 | points[1] = Q; | |
783 | points[2] = Q; | |
784 | points[3] = Q; | |
785 | ||
786 | if (!EC_GROUP_get_order(group, z, ctx)) | |
787 | ABORT; | |
788 | if (!BN_add(y, z, BN_value_one())) | |
789 | ABORT; | |
790 | if (BN_is_odd(y)) | |
791 | ABORT; | |
792 | if (!BN_rshift1(y, y)) | |
793 | ABORT; | |
794 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
795 | scalars[1] = y; | |
796 | ||
797 | fprintf(stdout, "combined multiplication ..."); | |
798 | fflush(stdout); | |
799 | ||
800 | /* z is still the group order */ | |
801 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
802 | ABORT; | |
803 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
804 | ABORT; | |
805 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
806 | ABORT; | |
807 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
808 | ABORT; | |
809 | ||
810 | fprintf(stdout, "."); | |
811 | fflush(stdout); | |
812 | ||
813 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
814 | ABORT; | |
815 | if (!BN_add(z, z, y)) | |
816 | ABORT; | |
817 | BN_set_negative(z, 1); | |
818 | scalars[0] = y; | |
819 | scalars[1] = z; /* z = -(order + y) */ | |
820 | ||
821 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
822 | ABORT; | |
823 | if (!EC_POINT_is_at_infinity(group, P)) | |
824 | ABORT; | |
825 | ||
826 | fprintf(stdout, "."); | |
827 | fflush(stdout); | |
828 | ||
829 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
830 | ABORT; | |
831 | if (!BN_add(z, x, y)) | |
832 | ABORT; | |
833 | BN_set_negative(z, 1); | |
834 | scalars[0] = x; | |
835 | scalars[1] = y; | |
836 | scalars[2] = z; /* z = -(x+y) */ | |
837 | ||
838 | scalar3 = BN_new(); | |
839 | if (!scalar3) | |
840 | ABORT; | |
841 | BN_zero(scalar3); | |
842 | scalars[3] = scalar3; | |
843 | ||
844 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
845 | ABORT; | |
846 | if (!EC_POINT_is_at_infinity(group, P)) | |
847 | ABORT; | |
848 | ||
849 | fprintf(stdout, " ok\n\n"); | |
850 | ||
851 | BN_free(scalar3); | |
852 | } | |
853 | ||
0f113f3e MC |
854 | if (ctx) |
855 | BN_CTX_free(ctx); | |
856 | BN_free(p); | |
857 | BN_free(a); | |
858 | BN_free(b); | |
859 | EC_GROUP_free(group); | |
860 | EC_POINT_free(P); | |
861 | EC_POINT_free(Q); | |
862 | EC_POINT_free(R); | |
863 | BN_free(x); | |
864 | BN_free(y); | |
865 | BN_free(z); | |
866 | ||
867 | if (P_160) | |
868 | EC_GROUP_free(P_160); | |
869 | if (P_192) | |
870 | EC_GROUP_free(P_192); | |
871 | if (P_224) | |
872 | EC_GROUP_free(P_224); | |
873 | if (P_256) | |
874 | EC_GROUP_free(P_256); | |
875 | if (P_384) | |
876 | EC_GROUP_free(P_384); | |
877 | if (P_521) | |
878 | EC_GROUP_free(P_521); | |
879 | ||
880 | } | |
7793f30e BM |
881 | |
882 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
883 | # ifdef OPENSSL_EC_BIN_PT_COMP |
884 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
885 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
886 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ | |
887 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
888 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
889 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
890 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
891 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
892 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
893 | BN_print_fp(stdout, x); \ | |
894 | fprintf(stdout, "\n y = 0x"); \ | |
895 | BN_print_fp(stdout, y); \ | |
896 | fprintf(stdout, "\n"); \ | |
897 | /* G_y value taken from the standard: */ \ | |
898 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
899 | if (0 != BN_cmp(y, z)) ABORT; | |
900 | # else | |
901 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
902 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
903 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
904 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
905 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
906 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
907 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
908 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
909 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
910 | BN_print_fp(stdout, x); \ | |
911 | fprintf(stdout, "\n y = 0x"); \ | |
912 | BN_print_fp(stdout, y); \ | |
913 | fprintf(stdout, "\n"); | |
914 | # endif | |
915 | ||
916 | # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
917 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
918 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
919 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
920 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
921 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
922 | fprintf(stdout, "verify degree ..."); \ | |
923 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
924 | fprintf(stdout, " ok\n"); \ | |
925 | group_order_tests(group); \ | |
926 | if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ | |
927 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ | |
928 | ||
929 | # ifndef OPENSSL_NO_EC2M | |
7793f30e | 930 | |
c13d7c02 | 931 | static void char2_field_tests(void) |
0f113f3e MC |
932 | { |
933 | BN_CTX *ctx = NULL; | |
934 | BIGNUM *p, *a, *b; | |
935 | EC_GROUP *group; | |
936 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = | |
937 | NULL, *C2_K571 = NULL; | |
938 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = | |
939 | NULL, *C2_B571 = NULL; | |
940 | EC_POINT *P, *Q, *R; | |
941 | BIGNUM *x, *y, *z, *cof; | |
942 | unsigned char buf[100]; | |
943 | size_t i, len; | |
944 | int k; | |
945 | ||
0f113f3e MC |
946 | ctx = BN_CTX_new(); |
947 | if (!ctx) | |
948 | ABORT; | |
0f113f3e MC |
949 | |
950 | p = BN_new(); | |
951 | a = BN_new(); | |
952 | b = BN_new(); | |
953 | if (!p || !a || !b) | |
954 | ABORT; | |
955 | ||
956 | if (!BN_hex2bn(&p, "13")) | |
957 | ABORT; | |
958 | if (!BN_hex2bn(&a, "3")) | |
959 | ABORT; | |
960 | if (!BN_hex2bn(&b, "1")) | |
961 | ABORT; | |
962 | ||
963 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
964 | * EC_GROUP_new_curve_GF2m | |
965 | * so that the library gets | |
966 | * to choose the EC_METHOD */ | |
967 | if (!group) | |
968 | ABORT; | |
969 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
970 | ABORT; | |
971 | ||
972 | { | |
973 | EC_GROUP *tmp; | |
974 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
975 | if (!tmp) | |
976 | ABORT; | |
977 | if (!EC_GROUP_copy(tmp, group)) | |
978 | ABORT; | |
979 | EC_GROUP_free(group); | |
980 | group = tmp; | |
981 | } | |
982 | ||
983 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) | |
984 | ABORT; | |
985 | ||
986 | fprintf(stdout, | |
987 | "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
988 | BN_print_fp(stdout, p); | |
989 | fprintf(stdout, ")\n a = 0x"); | |
990 | BN_print_fp(stdout, a); | |
991 | fprintf(stdout, "\n b = 0x"); | |
992 | BN_print_fp(stdout, b); | |
993 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); | |
994 | ||
995 | P = EC_POINT_new(group); | |
996 | Q = EC_POINT_new(group); | |
997 | R = EC_POINT_new(group); | |
998 | if (!P || !Q || !R) | |
999 | ABORT; | |
1000 | ||
1001 | if (!EC_POINT_set_to_infinity(group, P)) | |
1002 | ABORT; | |
1003 | if (!EC_POINT_is_at_infinity(group, P)) | |
1004 | ABORT; | |
1005 | ||
1006 | buf[0] = 0; | |
1007 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
1008 | ABORT; | |
1009 | ||
1010 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
1011 | ABORT; | |
1012 | if (!EC_POINT_is_at_infinity(group, P)) | |
1013 | ABORT; | |
1014 | ||
1015 | x = BN_new(); | |
1016 | y = BN_new(); | |
1017 | z = BN_new(); | |
1018 | cof = BN_new(); | |
1019 | if (!x || !y || !z || !cof) | |
1020 | ABORT; | |
1021 | ||
1022 | if (!BN_hex2bn(&x, "6")) | |
1023 | ABORT; | |
7793f30e | 1024 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
1025 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1026 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) | |
1027 | ABORT; | |
1028 | # else | |
1029 | if (!BN_hex2bn(&y, "8")) | |
1030 | ABORT; | |
1031 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
1032 | ABORT; | |
1033 | # endif | |
1034 | if (!EC_POINT_is_on_curve(group, Q, ctx)) { | |
7793f30e | 1035 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
1036 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1037 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
1038 | ABORT; | |
1039 | # endif | |
1040 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
1041 | BN_print_fp(stderr, x); | |
1042 | fprintf(stderr, ", y = 0x"); | |
1043 | BN_print_fp(stderr, y); | |
1044 | fprintf(stderr, "\n"); | |
1045 | ABORT; | |
1046 | } | |
1047 | ||
1048 | fprintf(stdout, "A cyclic subgroup:\n"); | |
1049 | k = 100; | |
1050 | do { | |
1051 | if (k-- == 0) | |
1052 | ABORT; | |
1053 | ||
1054 | if (EC_POINT_is_at_infinity(group, P)) | |
1055 | fprintf(stdout, " point at infinity\n"); | |
1056 | else { | |
1057 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
1058 | ABORT; | |
1059 | ||
1060 | fprintf(stdout, " x = 0x"); | |
1061 | BN_print_fp(stdout, x); | |
1062 | fprintf(stdout, ", y = 0x"); | |
1063 | BN_print_fp(stdout, y); | |
1064 | fprintf(stdout, "\n"); | |
1065 | } | |
1066 | ||
1067 | if (!EC_POINT_copy(R, P)) | |
1068 | ABORT; | |
1069 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
1070 | ABORT; | |
1071 | } | |
1072 | while (!EC_POINT_is_at_infinity(group, P)); | |
1073 | ||
1074 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
1075 | ABORT; | |
1076 | if (!EC_POINT_is_at_infinity(group, P)) | |
1077 | ABORT; | |
7793f30e BM |
1078 | |
1079 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
1080 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1081 | len = | |
1082 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
1083 | sizeof buf, ctx); | |
1084 | if (len == 0) | |
1085 | ABORT; | |
1086 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1087 | ABORT; | |
1088 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1089 | ABORT; | |
1090 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
1091 | for (i = 0; i < len; i++) | |
1092 | fprintf(stdout, "%02X", buf[i]); | |
1093 | # endif | |
1094 | ||
1095 | len = | |
1096 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
1097 | sizeof buf, ctx); | |
1098 | if (len == 0) | |
1099 | ABORT; | |
1100 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1101 | ABORT; | |
1102 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1103 | ABORT; | |
1104 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
1105 | for (i = 0; i < len; i++) | |
1106 | fprintf(stdout, "%02X", buf[i]); | |
7793f30e | 1107 | |
0f113f3e MC |
1108 | /* Change test based on whether binary point compression is enabled or not. */ |
1109 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1110 | len = | |
1111 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
1112 | ctx); | |
1113 | if (len == 0) | |
1114 | ABORT; | |
1115 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1116 | ABORT; | |
1117 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1118 | ABORT; | |
1119 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
1120 | for (i = 0; i < len; i++) | |
1121 | fprintf(stdout, "%02X", buf[i]); | |
1122 | # endif | |
1123 | ||
1124 | fprintf(stdout, "\n"); | |
1125 | ||
1126 | if (!EC_POINT_invert(group, P, ctx)) | |
1127 | ABORT; | |
1128 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1129 | ABORT; | |
1130 | ||
1131 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
1132 | CHAR2_CURVE_TEST | |
1133 | ("NIST curve K-163", | |
1134 | "0800000000000000000000000000000000000000C9", | |
1135 | "1", | |
1136 | "1", | |
1137 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
1138 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
1139 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163); | |
1140 | ||
1141 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
1142 | CHAR2_CURVE_TEST | |
1143 | ("NIST curve B-163", | |
1144 | "0800000000000000000000000000000000000000C9", | |
1145 | "1", | |
1146 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
1147 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
1148 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
1149 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163); | |
1150 | ||
1151 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
1152 | CHAR2_CURVE_TEST | |
1153 | ("NIST curve K-233", | |
1154 | "020000000000000000000000000000000000000004000000000000000001", | |
1155 | "0", | |
1156 | "1", | |
1157 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
1158 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
1159 | 0, | |
1160 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
1161 | "4", 233, C2_K233); | |
1162 | ||
1163 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
1164 | CHAR2_CURVE_TEST | |
1165 | ("NIST curve B-233", | |
1166 | "020000000000000000000000000000000000000004000000000000000001", | |
1167 | "000000000000000000000000000000000000000000000000000000000001", | |
1168 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
1169 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
1170 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
1171 | 1, | |
1172 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
1173 | "2", 233, C2_B233); | |
1174 | ||
1175 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
1176 | CHAR2_CURVE_TEST | |
1177 | ("NIST curve K-283", | |
1178 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1179 | "0", | |
1180 | "1", | |
1181 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
1182 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
1183 | 0, | |
1184 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
1185 | "4", 283, C2_K283); | |
1186 | ||
1187 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
1188 | CHAR2_CURVE_TEST | |
1189 | ("NIST curve B-283", | |
1190 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1191 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
1192 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
1193 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
1194 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
1195 | 1, | |
1196 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
1197 | "2", 283, C2_B283); | |
1198 | ||
1199 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
1200 | CHAR2_CURVE_TEST | |
1201 | ("NIST curve K-409", | |
1202 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1203 | "0", | |
1204 | "1", | |
1205 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
1206 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
1207 | 1, | |
1208 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
1209 | "4", 409, C2_K409); | |
1210 | ||
1211 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
1212 | CHAR2_CURVE_TEST | |
1213 | ("NIST curve B-409", | |
1214 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1215 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1216 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
1217 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
1218 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
1219 | 1, | |
1220 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
1221 | "2", 409, C2_B409); | |
1222 | ||
1223 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
1224 | CHAR2_CURVE_TEST | |
1225 | ("NIST curve K-571", | |
1226 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1227 | "0", | |
1228 | "1", | |
1229 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
1230 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
1231 | 0, | |
1232 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
1233 | "4", 571, C2_K571); | |
1234 | ||
1235 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
1236 | CHAR2_CURVE_TEST | |
1237 | ("NIST curve B-571", | |
1238 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1239 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1240 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
1241 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
1242 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
1243 | 1, | |
1244 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
1245 | "2", 571, C2_B571); | |
1246 | ||
1247 | /* more tests using the last curve */ | |
1248 | ||
1249 | if (!EC_POINT_copy(Q, P)) | |
1250 | ABORT; | |
1251 | if (EC_POINT_is_at_infinity(group, Q)) | |
1252 | ABORT; | |
1253 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
1254 | ABORT; | |
1255 | if (!EC_POINT_is_on_curve(group, P, ctx)) | |
1256 | ABORT; | |
1257 | if (!EC_POINT_invert(group, Q, ctx)) | |
1258 | ABORT; /* P = -2Q */ | |
1259 | ||
1260 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
1261 | ABORT; | |
1262 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
1263 | ABORT; | |
1264 | if (!EC_POINT_is_at_infinity(group, R)) | |
1265 | ABORT; /* R = P + 2Q */ | |
1266 | ||
1267 | { | |
1268 | const EC_POINT *points[3]; | |
1269 | const BIGNUM *scalars[3]; | |
1270 | ||
1271 | if (EC_POINT_is_at_infinity(group, Q)) | |
1272 | ABORT; | |
1273 | points[0] = Q; | |
1274 | points[1] = Q; | |
1275 | points[2] = Q; | |
1276 | ||
1277 | if (!BN_add(y, z, BN_value_one())) | |
1278 | ABORT; | |
1279 | if (BN_is_odd(y)) | |
1280 | ABORT; | |
1281 | if (!BN_rshift1(y, y)) | |
1282 | ABORT; | |
1283 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
1284 | scalars[1] = y; | |
1285 | ||
1286 | fprintf(stdout, "combined multiplication ..."); | |
1287 | fflush(stdout); | |
1288 | ||
1289 | /* z is still the group order */ | |
1290 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1291 | ABORT; | |
1292 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
1293 | ABORT; | |
1294 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1295 | ABORT; | |
1296 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
1297 | ABORT; | |
1298 | ||
1299 | fprintf(stdout, "."); | |
1300 | fflush(stdout); | |
1301 | ||
1302 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
1303 | ABORT; | |
1304 | if (!BN_add(z, z, y)) | |
1305 | ABORT; | |
1306 | BN_set_negative(z, 1); | |
1307 | scalars[0] = y; | |
1308 | scalars[1] = z; /* z = -(order + y) */ | |
1309 | ||
1310 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1311 | ABORT; | |
1312 | if (!EC_POINT_is_at_infinity(group, P)) | |
1313 | ABORT; | |
1314 | ||
1315 | fprintf(stdout, "."); | |
1316 | fflush(stdout); | |
1317 | ||
1318 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
1319 | ABORT; | |
1320 | if (!BN_add(z, x, y)) | |
1321 | ABORT; | |
1322 | BN_set_negative(z, 1); | |
1323 | scalars[0] = x; | |
1324 | scalars[1] = y; | |
1325 | scalars[2] = z; /* z = -(x+y) */ | |
1326 | ||
1327 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) | |
1328 | ABORT; | |
1329 | if (!EC_POINT_is_at_infinity(group, P)) | |
1330 | ABORT; | |
1331 | ||
1332 | fprintf(stdout, " ok\n\n"); | |
1333 | } | |
1334 | ||
0f113f3e MC |
1335 | if (ctx) |
1336 | BN_CTX_free(ctx); | |
1337 | BN_free(p); | |
1338 | BN_free(a); | |
1339 | BN_free(b); | |
1340 | EC_GROUP_free(group); | |
1341 | EC_POINT_free(P); | |
1342 | EC_POINT_free(Q); | |
1343 | EC_POINT_free(R); | |
1344 | BN_free(x); | |
1345 | BN_free(y); | |
1346 | BN_free(z); | |
1347 | BN_free(cof); | |
1348 | ||
1349 | if (C2_K163) | |
1350 | EC_GROUP_free(C2_K163); | |
1351 | if (C2_B163) | |
1352 | EC_GROUP_free(C2_B163); | |
1353 | if (C2_K233) | |
1354 | EC_GROUP_free(C2_K233); | |
1355 | if (C2_B233) | |
1356 | EC_GROUP_free(C2_B233); | |
1357 | if (C2_K283) | |
1358 | EC_GROUP_free(C2_K283); | |
1359 | if (C2_B283) | |
1360 | EC_GROUP_free(C2_B283); | |
1361 | if (C2_K409) | |
1362 | EC_GROUP_free(C2_K409); | |
1363 | if (C2_B409) | |
1364 | EC_GROUP_free(C2_B409); | |
1365 | if (C2_K571) | |
1366 | EC_GROUP_free(C2_K571); | |
1367 | if (C2_B571) | |
1368 | EC_GROUP_free(C2_B571); | |
1369 | ||
1370 | } | |
1371 | # endif | |
7793f30e | 1372 | |
5df2a249 | 1373 | static void internal_curve_test(void) |
0f113f3e MC |
1374 | { |
1375 | EC_builtin_curve *curves = NULL; | |
1376 | size_t crv_len = 0, n = 0; | |
1377 | int ok = 1; | |
1378 | ||
1379 | crv_len = EC_get_builtin_curves(NULL, 0); | |
1380 | ||
1381 | curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); | |
1382 | ||
1383 | if (curves == NULL) | |
1384 | return; | |
1385 | ||
1386 | if (!EC_get_builtin_curves(curves, crv_len)) { | |
1387 | OPENSSL_free(curves); | |
1388 | return; | |
1389 | } | |
1390 | ||
1391 | fprintf(stdout, "testing internal curves: "); | |
1392 | ||
1393 | for (n = 0; n < crv_len; n++) { | |
1394 | EC_GROUP *group = NULL; | |
1395 | int nid = curves[n].nid; | |
1396 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
1397 | ok = 0; | |
1398 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" | |
1399 | " curve %s\n", OBJ_nid2sn(nid)); | |
1400 | /* try next curve */ | |
1401 | continue; | |
1402 | } | |
1403 | if (!EC_GROUP_check(group, NULL)) { | |
1404 | ok = 0; | |
1405 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
1406 | " curve %s\n", OBJ_nid2sn(nid)); | |
1407 | EC_GROUP_free(group); | |
1408 | /* try the next curve */ | |
1409 | continue; | |
1410 | } | |
1411 | fprintf(stdout, "."); | |
1412 | fflush(stdout); | |
1413 | EC_GROUP_free(group); | |
1414 | } | |
1415 | if (ok) | |
1416 | fprintf(stdout, " ok\n\n"); | |
1417 | else { | |
1418 | fprintf(stdout, " failed\n\n"); | |
1419 | ABORT; | |
1420 | } | |
1421 | OPENSSL_free(curves); | |
1422 | return; | |
1423 | } | |
1424 | ||
1425 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1426 | /* | |
1427 | * nistp_test_params contains magic numbers for testing our optimized | |
1428 | * implementations of several NIST curves with characteristic > 3. | |
1429 | */ | |
1430 | struct nistp_test_params { | |
1431 | const EC_METHOD *(*meth) (); | |
1432 | int degree; | |
1433 | /* | |
1434 | * Qx, Qy and D are taken from | |
1435 | * http://csrcdocut.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf | |
1436 | * Otherwise, values are standard curve parameters from FIPS 180-3 | |
1437 | */ | |
1438 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1439 | }; | |
1440 | ||
1441 | static const struct nistp_test_params nistp_tests_params[] = { | |
1442 | { | |
1443 | /* P-224 */ | |
1444 | EC_GFp_nistp224_method, | |
1445 | 224, | |
1446 | /* p */ | |
1447 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
1448 | /* a */ | |
1449 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
1450 | /* b */ | |
1451 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
1452 | /* Qx */ | |
1453 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
1454 | /* Qy */ | |
1455 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
1456 | /* Gx */ | |
1457 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
1458 | /* Gy */ | |
1459 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
1460 | /* order */ | |
1461 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
1462 | /* d */ | |
1463 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
1464 | }, | |
1465 | { | |
1466 | /* P-256 */ | |
1467 | EC_GFp_nistp256_method, | |
1468 | 256, | |
1469 | /* p */ | |
1470 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
1471 | /* a */ | |
1472 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
1473 | /* b */ | |
1474 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
1475 | /* Qx */ | |
1476 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
1477 | /* Qy */ | |
1478 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
1479 | /* Gx */ | |
1480 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
1481 | /* Gy */ | |
1482 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
1483 | /* order */ | |
1484 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
1485 | /* d */ | |
1486 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
1487 | }, | |
1488 | { | |
1489 | /* P-521 */ | |
1490 | EC_GFp_nistp521_method, | |
1491 | 521, | |
1492 | /* p */ | |
1493 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
1494 | /* a */ | |
1495 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
1496 | /* b */ | |
1497 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
1498 | /* Qx */ | |
1499 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
1500 | /* Qy */ | |
1501 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
1502 | /* Gx */ | |
1503 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
1504 | /* Gy */ | |
1505 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
1506 | /* order */ | |
1507 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
1508 | /* d */ | |
1509 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
1510 | }, | |
1511 | }; | |
3e00b4c9 | 1512 | |
b597aab8 | 1513 | static void nistp_single_test(const struct nistp_test_params *test) |
0f113f3e MC |
1514 | { |
1515 | BN_CTX *ctx; | |
1516 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; | |
1517 | EC_GROUP *NISTP; | |
1518 | EC_POINT *G, *P, *Q, *Q_CHECK; | |
1519 | ||
1520 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", | |
1521 | test->degree); | |
1522 | ctx = BN_CTX_new(); | |
1523 | p = BN_new(); | |
1524 | a = BN_new(); | |
1525 | b = BN_new(); | |
1526 | x = BN_new(); | |
1527 | y = BN_new(); | |
1528 | m = BN_new(); | |
1529 | n = BN_new(); | |
1530 | order = BN_new(); | |
1531 | ||
1532 | NISTP = EC_GROUP_new(test->meth()); | |
1533 | if (!NISTP) | |
1534 | ABORT; | |
1535 | if (!BN_hex2bn(&p, test->p)) | |
1536 | ABORT; | |
1537 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
1538 | ABORT; | |
1539 | if (!BN_hex2bn(&a, test->a)) | |
1540 | ABORT; | |
1541 | if (!BN_hex2bn(&b, test->b)) | |
1542 | ABORT; | |
1543 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) | |
1544 | ABORT; | |
1545 | G = EC_POINT_new(NISTP); | |
1546 | P = EC_POINT_new(NISTP); | |
1547 | Q = EC_POINT_new(NISTP); | |
1548 | Q_CHECK = EC_POINT_new(NISTP); | |
1549 | if (!BN_hex2bn(&x, test->Qx)) | |
1550 | ABORT; | |
1551 | if (!BN_hex2bn(&y, test->Qy)) | |
1552 | ABORT; | |
1553 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) | |
1554 | ABORT; | |
1555 | if (!BN_hex2bn(&x, test->Gx)) | |
1556 | ABORT; | |
1557 | if (!BN_hex2bn(&y, test->Gy)) | |
1558 | ABORT; | |
1559 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) | |
1560 | ABORT; | |
1561 | if (!BN_hex2bn(&order, test->order)) | |
1562 | ABORT; | |
1563 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1564 | ABORT; | |
1565 | ||
1566 | fprintf(stdout, "verify degree ... "); | |
1567 | if (EC_GROUP_get_degree(NISTP) != test->degree) | |
1568 | ABORT; | |
1569 | fprintf(stdout, "ok\n"); | |
1570 | ||
1571 | fprintf(stdout, "NIST test vectors ... "); | |
1572 | if (!BN_hex2bn(&n, test->d)) | |
1573 | ABORT; | |
1574 | /* fixed point multiplication */ | |
1575 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1576 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1577 | ABORT; | |
1578 | /* random point multiplication */ | |
1579 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1580 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1581 | ABORT; | |
1582 | ||
1583 | /* set generator to P = 2*G, where G is the standard generator */ | |
1584 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) | |
1585 | ABORT; | |
1586 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
1587 | ABORT; | |
1588 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
1589 | if (!BN_rshift(m, n, 1)) | |
1590 | ABORT; | |
1591 | ||
1592 | /* test the non-standard generator */ | |
1593 | /* fixed point multiplication */ | |
1594 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1595 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1596 | ABORT; | |
1597 | /* random point multiplication */ | |
1598 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1599 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1600 | ABORT; | |
1601 | ||
1602 | /* now repeat all tests with precomputation */ | |
1603 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) | |
1604 | ABORT; | |
1605 | ||
1606 | /* fixed point multiplication */ | |
1607 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1608 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1609 | ABORT; | |
1610 | /* random point multiplication */ | |
1611 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1612 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1613 | ABORT; | |
1614 | ||
1615 | /* reset generator */ | |
1616 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1617 | ABORT; | |
1618 | /* fixed point multiplication */ | |
1619 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1620 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1621 | ABORT; | |
1622 | /* random point multiplication */ | |
1623 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1624 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1625 | ABORT; | |
1626 | ||
1627 | fprintf(stdout, "ok\n"); | |
1628 | group_order_tests(NISTP); | |
0f113f3e MC |
1629 | EC_GROUP_free(NISTP); |
1630 | EC_POINT_free(G); | |
1631 | EC_POINT_free(P); | |
1632 | EC_POINT_free(Q); | |
1633 | EC_POINT_free(Q_CHECK); | |
1634 | BN_free(n); | |
1635 | BN_free(m); | |
1636 | BN_free(p); | |
1637 | BN_free(a); | |
1638 | BN_free(b); | |
1639 | BN_free(x); | |
1640 | BN_free(y); | |
1641 | BN_free(order); | |
1642 | BN_CTX_free(ctx); | |
1643 | } | |
3e00b4c9 | 1644 | |
b597aab8 | 1645 | static void nistp_tests() |
0f113f3e MC |
1646 | { |
1647 | unsigned i; | |
04daec86 | 1648 | |
0f113f3e MC |
1649 | for (i = 0; |
1650 | i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); | |
1651 | i++) { | |
1652 | nistp_single_test(&nistp_tests_params[i]); | |
1653 | } | |
1654 | } | |
1655 | # endif | |
7793f30e | 1656 | |
0f113f3e MC |
1657 | static const char rnd_seed[] = |
1658 | "string to make the random number generator think it has entropy"; | |
7793f30e | 1659 | |
0f113f3e MC |
1660 | int main(int argc, char *argv[]) |
1661 | { | |
1662 | ||
1663 | /* enable memory leak checking unless explicitly disabled */ | |
1664 | if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) | |
1665 | && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) { | |
1666 | CRYPTO_malloc_debug_init(); | |
1667 | CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); | |
1668 | } else { | |
1669 | /* OPENSSL_DEBUG_MEMORY=off */ | |
1670 | CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); | |
1671 | } | |
1672 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); | |
1673 | ERR_load_crypto_strings(); | |
1674 | ||
1675 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
1676 | ||
1677 | prime_field_tests(); | |
1678 | puts(""); | |
1679 | # ifndef OPENSSL_NO_EC2M | |
1680 | char2_field_tests(); | |
1681 | # endif | |
1682 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1683 | nistp_tests(); | |
1684 | # endif | |
1685 | /* test the internal curves */ | |
1686 | internal_curve_test(); | |
1687 | ||
1688 | # ifndef OPENSSL_NO_ENGINE | |
1689 | ENGINE_cleanup(); | |
1690 | # endif | |
1691 | CRYPTO_cleanup_all_ex_data(); | |
1692 | ERR_free_strings(); | |
1693 | ERR_remove_thread_state(NULL); | |
1694 | CRYPTO_mem_leaks_fp(stderr); | |
1695 | ||
1696 | return 0; | |
1697 | } | |
bb62a8b0 | 1698 | #endif |