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Commit | Line | Data |
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35b73a1f | 1 | /* |
440e5d80 | 2 | * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved. |
62763f68 | 3 | * |
440e5d80 RS |
4 | * Licensed under the OpenSSL license (the "License"). You may not use |
5 | * this file except in compliance with the License. You can obtain a copy | |
6 | * in the file LICENSE in the source distribution or at | |
7 | * https://www.openssl.org/source/license.html | |
62763f68 | 8 | */ |
440e5d80 | 9 | |
7793f30e BM |
10 | /* ==================================================================== |
11 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | |
12 | * | |
0f113f3e | 13 | * Portions of the attached software ("Contribution") are developed by |
7793f30e BM |
14 | * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. |
15 | * | |
16 | * The Contribution is licensed pursuant to the OpenSSL open source | |
17 | * license provided above. | |
18 | * | |
0f113f3e | 19 | * The elliptic curve binary polynomial software is originally written by |
7793f30e BM |
20 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. |
21 | * | |
22 | */ | |
62763f68 | 23 | |
adfe54b7 BM |
24 | #include <stdio.h> |
25 | #include <stdlib.h> | |
0bf23d9b | 26 | #ifdef FLAT_INC |
0f113f3e | 27 | # include "e_os.h" |
0bf23d9b | 28 | #else |
0f113f3e | 29 | # include "../e_os.h" |
0bf23d9b | 30 | #endif |
413a4a04 | 31 | #include <string.h> |
48fe4d62 | 32 | #include <time.h> |
adfe54b7 | 33 | |
bb62a8b0 | 34 | #ifdef OPENSSL_NO_EC |
0f113f3e MC |
35 | int main(int argc, char *argv[]) |
36 | { | |
37 | puts("Elliptic curves are disabled."); | |
38 | return 0; | |
39 | } | |
bb62a8b0 BM |
40 | #else |
41 | ||
0f113f3e MC |
42 | # include <openssl/ec.h> |
43 | # ifndef OPENSSL_NO_ENGINE | |
44 | # include <openssl/engine.h> | |
45 | # endif | |
46 | # include <openssl/err.h> | |
47 | # include <openssl/obj_mac.h> | |
48 | # include <openssl/objects.h> | |
49 | # include <openssl/rand.h> | |
50 | # include <openssl/bn.h> | |
51 | # include <openssl/opensslconf.h> | |
52 | ||
53 | # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) | |
0491e058 | 54 | /* suppress "too big too optimize" warning */ |
0f113f3e MC |
55 | # pragma warning(disable:4959) |
56 | # endif | |
57 | ||
58 | # define ABORT do { \ | |
59 | fflush(stdout); \ | |
60 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ | |
61 | ERR_print_errors_fp(stderr); \ | |
62 | EXIT(1); \ | |
adfe54b7 BM |
63 | } while (0) |
64 | ||
0f113f3e MC |
65 | # define TIMING_BASE_PT 0 |
66 | # define TIMING_RAND_PT 1 | |
67 | # define TIMING_SIMUL 2 | |
652ae06b | 68 | |
04daec86 BM |
69 | /* test multiplication with group order, long and negative scalars */ |
70 | static void group_order_tests(EC_GROUP *group) | |
0f113f3e MC |
71 | { |
72 | BIGNUM *n1, *n2, *order; | |
73 | EC_POINT *P = EC_POINT_new(group); | |
74 | EC_POINT *Q = EC_POINT_new(group); | |
50e34aab AP |
75 | EC_POINT *R = EC_POINT_new(group); |
76 | EC_POINT *S = EC_POINT_new(group); | |
0f113f3e MC |
77 | BN_CTX *ctx = BN_CTX_new(); |
78 | int i; | |
79 | ||
80 | n1 = BN_new(); | |
81 | n2 = BN_new(); | |
82 | order = BN_new(); | |
83 | fprintf(stdout, "verify group order ..."); | |
84 | fflush(stdout); | |
85 | if (!EC_GROUP_get_order(group, order, ctx)) | |
86 | ABORT; | |
87 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
88 | ABORT; | |
89 | if (!EC_POINT_is_at_infinity(group, Q)) | |
90 | ABORT; | |
91 | fprintf(stdout, "."); | |
92 | fflush(stdout); | |
93 | if (!EC_GROUP_precompute_mult(group, ctx)) | |
94 | ABORT; | |
95 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
96 | ABORT; | |
97 | if (!EC_POINT_is_at_infinity(group, Q)) | |
98 | ABORT; | |
99 | fprintf(stdout, " ok\n"); | |
100 | fprintf(stdout, "long/negative scalar tests "); | |
101 | for (i = 1; i <= 2; i++) { | |
102 | const BIGNUM *scalars[6]; | |
103 | const EC_POINT *points[6]; | |
104 | ||
105 | fprintf(stdout, i == 1 ? | |
106 | "allowing precomputation ... " : | |
107 | "without precomputation ... "); | |
108 | if (!BN_set_word(n1, i)) | |
109 | ABORT; | |
110 | /* | |
111 | * If i == 1, P will be the predefined generator for which | |
112 | * EC_GROUP_precompute_mult has set up precomputation. | |
113 | */ | |
114 | if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) | |
115 | ABORT; | |
116 | ||
117 | if (!BN_one(n1)) | |
118 | ABORT; | |
119 | /* n1 = 1 - order */ | |
120 | if (!BN_sub(n1, n1, order)) | |
121 | ABORT; | |
122 | if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) | |
123 | ABORT; | |
124 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
125 | ABORT; | |
126 | ||
127 | /* n2 = 1 + order */ | |
128 | if (!BN_add(n2, order, BN_value_one())) | |
129 | ABORT; | |
130 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
131 | ABORT; | |
132 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
133 | ABORT; | |
134 | ||
135 | /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ | |
136 | if (!BN_mul(n2, n1, n2, ctx)) | |
137 | ABORT; | |
138 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
139 | ABORT; | |
140 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
141 | ABORT; | |
142 | ||
143 | /* n2 = order^2 - 1 */ | |
144 | BN_set_negative(n2, 0); | |
145 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
146 | ABORT; | |
147 | /* Add P to verify the result. */ | |
148 | if (!EC_POINT_add(group, Q, Q, P, ctx)) | |
149 | ABORT; | |
150 | if (!EC_POINT_is_at_infinity(group, Q)) | |
151 | ABORT; | |
152 | ||
153 | /* Exercise EC_POINTs_mul, including corner cases. */ | |
154 | if (EC_POINT_is_at_infinity(group, P)) | |
155 | ABORT; | |
50e34aab AP |
156 | |
157 | scalars[0] = scalars[1] = BN_value_one(); | |
158 | points[0] = points[1] = P; | |
159 | ||
160 | if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) | |
161 | ABORT; | |
162 | if (!EC_POINT_dbl(group, S, points[0], ctx)) | |
163 | ABORT; | |
164 | if (0 != EC_POINT_cmp(group, R, S, ctx)) | |
165 | ABORT; | |
166 | ||
0f113f3e MC |
167 | scalars[0] = n1; |
168 | points[0] = Q; /* => infinity */ | |
169 | scalars[1] = n2; | |
170 | points[1] = P; /* => -P */ | |
171 | scalars[2] = n1; | |
172 | points[2] = Q; /* => infinity */ | |
173 | scalars[3] = n2; | |
174 | points[3] = Q; /* => infinity */ | |
175 | scalars[4] = n1; | |
176 | points[4] = P; /* => P */ | |
177 | scalars[5] = n2; | |
178 | points[5] = Q; /* => infinity */ | |
179 | if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) | |
180 | ABORT; | |
181 | if (!EC_POINT_is_at_infinity(group, P)) | |
182 | ABORT; | |
183 | } | |
184 | fprintf(stdout, "ok\n"); | |
185 | ||
186 | EC_POINT_free(P); | |
187 | EC_POINT_free(Q); | |
50e34aab AP |
188 | EC_POINT_free(R); |
189 | EC_POINT_free(S); | |
0f113f3e MC |
190 | BN_free(n1); |
191 | BN_free(n2); | |
192 | BN_free(order); | |
193 | BN_CTX_free(ctx); | |
194 | } | |
04daec86 | 195 | |
c13d7c02 | 196 | static void prime_field_tests(void) |
0f113f3e MC |
197 | { |
198 | BN_CTX *ctx = NULL; | |
199 | BIGNUM *p, *a, *b; | |
200 | EC_GROUP *group; | |
201 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = | |
202 | NULL, *P_384 = NULL, *P_521 = NULL; | |
203 | EC_POINT *P, *Q, *R; | |
204 | BIGNUM *x, *y, *z; | |
205 | unsigned char buf[100]; | |
206 | size_t i, len; | |
207 | int k; | |
208 | ||
0f113f3e MC |
209 | ctx = BN_CTX_new(); |
210 | if (!ctx) | |
211 | ABORT; | |
0f113f3e MC |
212 | |
213 | p = BN_new(); | |
214 | a = BN_new(); | |
215 | b = BN_new(); | |
216 | if (!p || !a || !b) | |
217 | ABORT; | |
218 | ||
219 | if (!BN_hex2bn(&p, "17")) | |
220 | ABORT; | |
221 | if (!BN_hex2bn(&a, "1")) | |
222 | ABORT; | |
223 | if (!BN_hex2bn(&b, "1")) | |
224 | ABORT; | |
225 | ||
226 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use | |
227 | * EC_GROUP_new_curve_GFp so | |
228 | * that the library gets to | |
229 | * choose the EC_METHOD */ | |
230 | if (!group) | |
231 | ABORT; | |
232 | ||
233 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
234 | ABORT; | |
235 | ||
236 | { | |
237 | EC_GROUP *tmp; | |
238 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
239 | if (!tmp) | |
240 | ABORT; | |
241 | if (!EC_GROUP_copy(tmp, group)) | |
242 | ABORT; | |
243 | EC_GROUP_free(group); | |
244 | group = tmp; | |
245 | } | |
246 | ||
247 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) | |
248 | ABORT; | |
249 | ||
250 | fprintf(stdout, | |
251 | "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); | |
252 | BN_print_fp(stdout, p); | |
253 | fprintf(stdout, ")\n a = 0x"); | |
254 | BN_print_fp(stdout, a); | |
255 | fprintf(stdout, "\n b = 0x"); | |
256 | BN_print_fp(stdout, b); | |
257 | fprintf(stdout, "\n"); | |
258 | ||
259 | P = EC_POINT_new(group); | |
260 | Q = EC_POINT_new(group); | |
261 | R = EC_POINT_new(group); | |
262 | if (!P || !Q || !R) | |
263 | ABORT; | |
264 | ||
265 | if (!EC_POINT_set_to_infinity(group, P)) | |
266 | ABORT; | |
267 | if (!EC_POINT_is_at_infinity(group, P)) | |
268 | ABORT; | |
269 | ||
270 | buf[0] = 0; | |
271 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
272 | ABORT; | |
273 | ||
274 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
275 | ABORT; | |
276 | if (!EC_POINT_is_at_infinity(group, P)) | |
277 | ABORT; | |
278 | ||
279 | x = BN_new(); | |
280 | y = BN_new(); | |
281 | z = BN_new(); | |
282 | if (!x || !y || !z) | |
283 | ABORT; | |
284 | ||
285 | if (!BN_hex2bn(&x, "D")) | |
286 | ABORT; | |
287 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) | |
288 | ABORT; | |
68886be7 | 289 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
0f113f3e MC |
290 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) |
291 | ABORT; | |
292 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
293 | BN_print_fp(stderr, x); | |
294 | fprintf(stderr, ", y = 0x"); | |
295 | BN_print_fp(stderr, y); | |
296 | fprintf(stderr, "\n"); | |
297 | ABORT; | |
298 | } | |
299 | ||
300 | fprintf(stdout, "A cyclic subgroup:\n"); | |
301 | k = 100; | |
302 | do { | |
303 | if (k-- == 0) | |
304 | ABORT; | |
305 | ||
306 | if (EC_POINT_is_at_infinity(group, P)) | |
307 | fprintf(stdout, " point at infinity\n"); | |
308 | else { | |
309 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
310 | ABORT; | |
311 | ||
312 | fprintf(stdout, " x = 0x"); | |
313 | BN_print_fp(stdout, x); | |
314 | fprintf(stdout, ", y = 0x"); | |
315 | BN_print_fp(stdout, y); | |
316 | fprintf(stdout, "\n"); | |
317 | } | |
318 | ||
319 | if (!EC_POINT_copy(R, P)) | |
320 | ABORT; | |
321 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
322 | ABORT; | |
323 | ||
0f113f3e MC |
324 | } |
325 | while (!EC_POINT_is_at_infinity(group, P)); | |
326 | ||
327 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
328 | ABORT; | |
329 | if (!EC_POINT_is_at_infinity(group, P)) | |
330 | ABORT; | |
331 | ||
332 | len = | |
333 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
334 | sizeof buf, ctx); | |
335 | if (len == 0) | |
336 | ABORT; | |
337 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
338 | ABORT; | |
339 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
340 | ABORT; | |
341 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
342 | for (i = 0; i < len; i++) | |
343 | fprintf(stdout, "%02X", buf[i]); | |
344 | ||
345 | len = | |
346 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
347 | sizeof buf, ctx); | |
348 | if (len == 0) | |
349 | ABORT; | |
350 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
351 | ABORT; | |
352 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
353 | ABORT; | |
354 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
355 | for (i = 0; i < len; i++) | |
356 | fprintf(stdout, "%02X", buf[i]); | |
357 | ||
358 | len = | |
359 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
360 | ctx); | |
361 | if (len == 0) | |
362 | ABORT; | |
363 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
364 | ABORT; | |
365 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
366 | ABORT; | |
367 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
368 | for (i = 0; i < len; i++) | |
369 | fprintf(stdout, "%02X", buf[i]); | |
370 | ||
371 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) | |
372 | ABORT; | |
373 | fprintf(stdout, | |
374 | "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
375 | BN_print_fp(stdout, x); | |
376 | fprintf(stdout, ", Y = 0x"); | |
377 | BN_print_fp(stdout, y); | |
378 | fprintf(stdout, ", Z = 0x"); | |
379 | BN_print_fp(stdout, z); | |
380 | fprintf(stdout, "\n"); | |
381 | ||
382 | if (!EC_POINT_invert(group, P, ctx)) | |
383 | ABORT; | |
384 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
385 | ABORT; | |
386 | ||
387 | /* | |
388 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
389 | * 2000) -- not a NIST curve, but commonly used | |
390 | */ | |
391 | ||
392 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
393 | ABORT; | |
394 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
395 | ABORT; | |
396 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
397 | ABORT; | |
398 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
399 | ABORT; | |
400 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
401 | ABORT; | |
402 | ||
403 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) | |
404 | ABORT; | |
405 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) | |
406 | ABORT; | |
407 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
408 | ABORT; | |
68886be7 | 409 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
410 | ABORT; |
411 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) | |
412 | ABORT; | |
413 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
414 | ABORT; | |
415 | ||
416 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
417 | ABORT; | |
418 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
419 | BN_print_fp(stdout, x); | |
420 | fprintf(stdout, "\n y = 0x"); | |
421 | BN_print_fp(stdout, y); | |
422 | fprintf(stdout, "\n"); | |
423 | /* G_y value taken from the standard: */ | |
424 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) | |
425 | ABORT; | |
426 | if (0 != BN_cmp(y, z)) | |
427 | ABORT; | |
428 | ||
429 | fprintf(stdout, "verify degree ..."); | |
430 | if (EC_GROUP_get_degree(group) != 160) | |
431 | ABORT; | |
432 | fprintf(stdout, " ok\n"); | |
433 | ||
434 | group_order_tests(group); | |
435 | ||
75ebbd9a | 436 | if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
437 | ABORT; |
438 | if (!EC_GROUP_copy(P_160, group)) | |
439 | ABORT; | |
440 | ||
441 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
442 | ||
443 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
444 | ABORT; | |
445 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
446 | ABORT; | |
447 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
448 | ABORT; | |
449 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) | |
450 | ABORT; | |
451 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
452 | ABORT; | |
453 | ||
454 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) | |
455 | ABORT; | |
456 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
457 | ABORT; | |
68886be7 | 458 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
459 | ABORT; |
460 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) | |
461 | ABORT; | |
462 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
463 | ABORT; | |
464 | ||
465 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
466 | ABORT; | |
467 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
468 | BN_print_fp(stdout, x); | |
469 | fprintf(stdout, "\n y = 0x"); | |
470 | BN_print_fp(stdout, y); | |
471 | fprintf(stdout, "\n"); | |
472 | /* G_y value taken from the standard: */ | |
473 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) | |
474 | ABORT; | |
475 | if (0 != BN_cmp(y, z)) | |
476 | ABORT; | |
477 | ||
478 | fprintf(stdout, "verify degree ..."); | |
479 | if (EC_GROUP_get_degree(group) != 192) | |
480 | ABORT; | |
481 | fprintf(stdout, " ok\n"); | |
482 | ||
483 | group_order_tests(group); | |
484 | ||
75ebbd9a | 485 | if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
486 | ABORT; |
487 | if (!EC_GROUP_copy(P_192, group)) | |
488 | ABORT; | |
489 | ||
490 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
491 | ||
492 | if (!BN_hex2bn | |
493 | (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) | |
494 | ABORT; | |
495 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
496 | ABORT; | |
497 | if (!BN_hex2bn | |
498 | (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
499 | ABORT; | |
500 | if (!BN_hex2bn | |
501 | (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) | |
502 | ABORT; | |
503 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
504 | ABORT; | |
505 | ||
506 | if (!BN_hex2bn | |
507 | (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) | |
508 | ABORT; | |
509 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
510 | ABORT; | |
68886be7 | 511 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
512 | ABORT; |
513 | if (!BN_hex2bn | |
514 | (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
515 | ABORT; | |
516 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
517 | ABORT; | |
518 | ||
519 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
520 | ABORT; | |
521 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
522 | BN_print_fp(stdout, x); | |
523 | fprintf(stdout, "\n y = 0x"); | |
524 | BN_print_fp(stdout, y); | |
525 | fprintf(stdout, "\n"); | |
526 | /* G_y value taken from the standard: */ | |
527 | if (!BN_hex2bn | |
528 | (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) | |
529 | ABORT; | |
530 | if (0 != BN_cmp(y, z)) | |
531 | ABORT; | |
532 | ||
533 | fprintf(stdout, "verify degree ..."); | |
534 | if (EC_GROUP_get_degree(group) != 224) | |
535 | ABORT; | |
536 | fprintf(stdout, " ok\n"); | |
537 | ||
538 | group_order_tests(group); | |
539 | ||
75ebbd9a | 540 | if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
541 | ABORT; |
542 | if (!EC_GROUP_copy(P_224, group)) | |
543 | ABORT; | |
544 | ||
545 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
546 | ||
547 | if (!BN_hex2bn | |
548 | (&p, | |
549 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
550 | ABORT; | |
551 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
552 | ABORT; | |
553 | if (!BN_hex2bn | |
554 | (&a, | |
555 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
556 | ABORT; | |
557 | if (!BN_hex2bn | |
558 | (&b, | |
559 | "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) | |
560 | ABORT; | |
561 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
562 | ABORT; | |
563 | ||
564 | if (!BN_hex2bn | |
565 | (&x, | |
566 | "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) | |
567 | ABORT; | |
568 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
569 | ABORT; | |
68886be7 | 570 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
571 | ABORT; |
572 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
573 | "84F3B9CAC2FC632551")) | |
574 | ABORT; | |
575 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
576 | ABORT; | |
577 | ||
578 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
579 | ABORT; | |
580 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
581 | BN_print_fp(stdout, x); | |
582 | fprintf(stdout, "\n y = 0x"); | |
583 | BN_print_fp(stdout, y); | |
584 | fprintf(stdout, "\n"); | |
585 | /* G_y value taken from the standard: */ | |
586 | if (!BN_hex2bn | |
587 | (&z, | |
588 | "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) | |
589 | ABORT; | |
590 | if (0 != BN_cmp(y, z)) | |
591 | ABORT; | |
592 | ||
593 | fprintf(stdout, "verify degree ..."); | |
594 | if (EC_GROUP_get_degree(group) != 256) | |
595 | ABORT; | |
596 | fprintf(stdout, " ok\n"); | |
597 | ||
598 | group_order_tests(group); | |
599 | ||
75ebbd9a | 600 | if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
601 | ABORT; |
602 | if (!EC_GROUP_copy(P_256, group)) | |
603 | ABORT; | |
604 | ||
605 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
606 | ||
607 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
608 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) | |
609 | ABORT; | |
610 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
611 | ABORT; | |
612 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
613 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) | |
614 | ABORT; | |
615 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
616 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
617 | ABORT; | |
618 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
619 | ABORT; | |
620 | ||
621 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
622 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) | |
623 | ABORT; | |
624 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
625 | ABORT; | |
68886be7 | 626 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
627 | ABORT; |
628 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
629 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) | |
630 | ABORT; | |
631 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
632 | ABORT; | |
633 | ||
634 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
635 | ABORT; | |
636 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
637 | BN_print_fp(stdout, x); | |
638 | fprintf(stdout, "\n y = 0x"); | |
639 | BN_print_fp(stdout, y); | |
640 | fprintf(stdout, "\n"); | |
641 | /* G_y value taken from the standard: */ | |
642 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
643 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
644 | ABORT; | |
645 | if (0 != BN_cmp(y, z)) | |
646 | ABORT; | |
647 | ||
648 | fprintf(stdout, "verify degree ..."); | |
649 | if (EC_GROUP_get_degree(group) != 384) | |
650 | ABORT; | |
651 | fprintf(stdout, " ok\n"); | |
652 | ||
653 | group_order_tests(group); | |
654 | ||
75ebbd9a | 655 | if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
656 | ABORT; |
657 | if (!EC_GROUP_copy(P_384, group)) | |
658 | ABORT; | |
659 | ||
660 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
661 | ||
662 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
663 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
664 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
665 | ABORT; | |
666 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
667 | ABORT; | |
668 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
669 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
670 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
671 | ABORT; | |
672 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
673 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
674 | "DF883D2C34F1EF451FD46B503F00")) | |
675 | ABORT; | |
676 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
677 | ABORT; | |
678 | ||
679 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
680 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
681 | "3C1856A429BF97E7E31C2E5BD66")) | |
682 | ABORT; | |
683 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
684 | ABORT; | |
68886be7 | 685 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
686 | ABORT; |
687 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
688 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
689 | "C9B8899C47AEBB6FB71E91386409")) | |
690 | ABORT; | |
691 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
692 | ABORT; | |
693 | ||
694 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
695 | ABORT; | |
696 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
697 | BN_print_fp(stdout, x); | |
698 | fprintf(stdout, "\n y = 0x"); | |
699 | BN_print_fp(stdout, y); | |
700 | fprintf(stdout, "\n"); | |
701 | /* G_y value taken from the standard: */ | |
702 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
703 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
704 | "7086A272C24088BE94769FD16650")) | |
705 | ABORT; | |
706 | if (0 != BN_cmp(y, z)) | |
707 | ABORT; | |
708 | ||
709 | fprintf(stdout, "verify degree ..."); | |
710 | if (EC_GROUP_get_degree(group) != 521) | |
711 | ABORT; | |
712 | fprintf(stdout, " ok\n"); | |
713 | ||
714 | group_order_tests(group); | |
715 | ||
75ebbd9a | 716 | if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
717 | ABORT; |
718 | if (!EC_GROUP_copy(P_521, group)) | |
719 | ABORT; | |
720 | ||
721 | /* more tests using the last curve */ | |
722 | ||
723 | if (!EC_POINT_copy(Q, P)) | |
724 | ABORT; | |
725 | if (EC_POINT_is_at_infinity(group, Q)) | |
726 | ABORT; | |
727 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
728 | ABORT; | |
68886be7 | 729 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
730 | ABORT; |
731 | if (!EC_POINT_invert(group, Q, ctx)) | |
732 | ABORT; /* P = -2Q */ | |
733 | ||
734 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
735 | ABORT; | |
736 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
737 | ABORT; | |
738 | if (!EC_POINT_is_at_infinity(group, R)) | |
739 | ABORT; /* R = P + 2Q */ | |
740 | ||
741 | { | |
742 | const EC_POINT *points[4]; | |
743 | const BIGNUM *scalars[4]; | |
744 | BIGNUM *scalar3; | |
745 | ||
746 | if (EC_POINT_is_at_infinity(group, Q)) | |
747 | ABORT; | |
748 | points[0] = Q; | |
749 | points[1] = Q; | |
750 | points[2] = Q; | |
751 | points[3] = Q; | |
752 | ||
753 | if (!EC_GROUP_get_order(group, z, ctx)) | |
754 | ABORT; | |
755 | if (!BN_add(y, z, BN_value_one())) | |
756 | ABORT; | |
757 | if (BN_is_odd(y)) | |
758 | ABORT; | |
759 | if (!BN_rshift1(y, y)) | |
760 | ABORT; | |
761 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
762 | scalars[1] = y; | |
763 | ||
764 | fprintf(stdout, "combined multiplication ..."); | |
765 | fflush(stdout); | |
766 | ||
767 | /* z is still the group order */ | |
768 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
769 | ABORT; | |
770 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
771 | ABORT; | |
772 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
773 | ABORT; | |
774 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
775 | ABORT; | |
776 | ||
777 | fprintf(stdout, "."); | |
778 | fflush(stdout); | |
779 | ||
780 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
781 | ABORT; | |
782 | if (!BN_add(z, z, y)) | |
783 | ABORT; | |
784 | BN_set_negative(z, 1); | |
785 | scalars[0] = y; | |
786 | scalars[1] = z; /* z = -(order + y) */ | |
787 | ||
788 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
789 | ABORT; | |
790 | if (!EC_POINT_is_at_infinity(group, P)) | |
791 | ABORT; | |
792 | ||
793 | fprintf(stdout, "."); | |
794 | fflush(stdout); | |
795 | ||
796 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
797 | ABORT; | |
798 | if (!BN_add(z, x, y)) | |
799 | ABORT; | |
800 | BN_set_negative(z, 1); | |
801 | scalars[0] = x; | |
802 | scalars[1] = y; | |
803 | scalars[2] = z; /* z = -(x+y) */ | |
804 | ||
805 | scalar3 = BN_new(); | |
806 | if (!scalar3) | |
807 | ABORT; | |
808 | BN_zero(scalar3); | |
809 | scalars[3] = scalar3; | |
810 | ||
811 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
812 | ABORT; | |
813 | if (!EC_POINT_is_at_infinity(group, P)) | |
814 | ABORT; | |
815 | ||
816 | fprintf(stdout, " ok\n\n"); | |
817 | ||
818 | BN_free(scalar3); | |
819 | } | |
820 | ||
23a1d5e9 | 821 | BN_CTX_free(ctx); |
0f113f3e MC |
822 | BN_free(p); |
823 | BN_free(a); | |
824 | BN_free(b); | |
825 | EC_GROUP_free(group); | |
826 | EC_POINT_free(P); | |
827 | EC_POINT_free(Q); | |
828 | EC_POINT_free(R); | |
829 | BN_free(x); | |
830 | BN_free(y); | |
831 | BN_free(z); | |
832 | ||
8fdc3734 RS |
833 | EC_GROUP_free(P_160); |
834 | EC_GROUP_free(P_192); | |
835 | EC_GROUP_free(P_224); | |
836 | EC_GROUP_free(P_256); | |
837 | EC_GROUP_free(P_384); | |
838 | EC_GROUP_free(P_521); | |
0f113f3e MC |
839 | |
840 | } | |
7793f30e BM |
841 | |
842 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
843 | # ifdef OPENSSL_EC_BIN_PT_COMP |
844 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
845 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
846 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ | |
68886be7 | 847 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
0f113f3e MC |
848 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
849 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
850 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
851 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
852 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
853 | BN_print_fp(stdout, x); \ | |
854 | fprintf(stdout, "\n y = 0x"); \ | |
855 | BN_print_fp(stdout, y); \ | |
856 | fprintf(stdout, "\n"); \ | |
857 | /* G_y value taken from the standard: */ \ | |
858 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
859 | if (0 != BN_cmp(y, z)) ABORT; | |
860 | # else | |
861 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
862 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
863 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
864 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
68886be7 | 865 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
0f113f3e MC |
866 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
867 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
868 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
869 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
870 | BN_print_fp(stdout, x); \ | |
871 | fprintf(stdout, "\n y = 0x"); \ | |
872 | BN_print_fp(stdout, y); \ | |
873 | fprintf(stdout, "\n"); | |
874 | # endif | |
875 | ||
876 | # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
877 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
878 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
879 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
880 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
881 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
882 | fprintf(stdout, "verify degree ..."); \ | |
883 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
884 | fprintf(stdout, " ok\n"); \ | |
885 | group_order_tests(group); \ | |
75ebbd9a | 886 | if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \ |
0f113f3e MC |
887 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ |
888 | ||
889 | # ifndef OPENSSL_NO_EC2M | |
7793f30e | 890 | |
c13d7c02 | 891 | static void char2_field_tests(void) |
0f113f3e MC |
892 | { |
893 | BN_CTX *ctx = NULL; | |
894 | BIGNUM *p, *a, *b; | |
895 | EC_GROUP *group; | |
896 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = | |
897 | NULL, *C2_K571 = NULL; | |
898 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = | |
899 | NULL, *C2_B571 = NULL; | |
900 | EC_POINT *P, *Q, *R; | |
901 | BIGNUM *x, *y, *z, *cof; | |
902 | unsigned char buf[100]; | |
903 | size_t i, len; | |
904 | int k; | |
905 | ||
0f113f3e MC |
906 | ctx = BN_CTX_new(); |
907 | if (!ctx) | |
908 | ABORT; | |
0f113f3e MC |
909 | |
910 | p = BN_new(); | |
911 | a = BN_new(); | |
912 | b = BN_new(); | |
913 | if (!p || !a || !b) | |
914 | ABORT; | |
915 | ||
916 | if (!BN_hex2bn(&p, "13")) | |
917 | ABORT; | |
918 | if (!BN_hex2bn(&a, "3")) | |
919 | ABORT; | |
920 | if (!BN_hex2bn(&b, "1")) | |
921 | ABORT; | |
922 | ||
923 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
924 | * EC_GROUP_new_curve_GF2m | |
925 | * so that the library gets | |
926 | * to choose the EC_METHOD */ | |
927 | if (!group) | |
928 | ABORT; | |
929 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
930 | ABORT; | |
931 | ||
932 | { | |
933 | EC_GROUP *tmp; | |
934 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
935 | if (!tmp) | |
936 | ABORT; | |
937 | if (!EC_GROUP_copy(tmp, group)) | |
938 | ABORT; | |
939 | EC_GROUP_free(group); | |
940 | group = tmp; | |
941 | } | |
942 | ||
943 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) | |
944 | ABORT; | |
945 | ||
946 | fprintf(stdout, | |
947 | "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
948 | BN_print_fp(stdout, p); | |
949 | fprintf(stdout, ")\n a = 0x"); | |
950 | BN_print_fp(stdout, a); | |
951 | fprintf(stdout, "\n b = 0x"); | |
952 | BN_print_fp(stdout, b); | |
953 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); | |
954 | ||
955 | P = EC_POINT_new(group); | |
956 | Q = EC_POINT_new(group); | |
957 | R = EC_POINT_new(group); | |
958 | if (!P || !Q || !R) | |
959 | ABORT; | |
960 | ||
961 | if (!EC_POINT_set_to_infinity(group, P)) | |
962 | ABORT; | |
963 | if (!EC_POINT_is_at_infinity(group, P)) | |
964 | ABORT; | |
965 | ||
966 | buf[0] = 0; | |
967 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
968 | ABORT; | |
969 | ||
970 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
971 | ABORT; | |
972 | if (!EC_POINT_is_at_infinity(group, P)) | |
973 | ABORT; | |
974 | ||
975 | x = BN_new(); | |
976 | y = BN_new(); | |
977 | z = BN_new(); | |
978 | cof = BN_new(); | |
979 | if (!x || !y || !z || !cof) | |
980 | ABORT; | |
981 | ||
982 | if (!BN_hex2bn(&x, "6")) | |
983 | ABORT; | |
7793f30e | 984 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
985 | # ifdef OPENSSL_EC_BIN_PT_COMP |
986 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) | |
987 | ABORT; | |
988 | # else | |
989 | if (!BN_hex2bn(&y, "8")) | |
990 | ABORT; | |
991 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
992 | ABORT; | |
993 | # endif | |
68886be7 | 994 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
7793f30e | 995 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
996 | # ifdef OPENSSL_EC_BIN_PT_COMP |
997 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
998 | ABORT; | |
999 | # endif | |
1000 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
1001 | BN_print_fp(stderr, x); | |
1002 | fprintf(stderr, ", y = 0x"); | |
1003 | BN_print_fp(stderr, y); | |
1004 | fprintf(stderr, "\n"); | |
1005 | ABORT; | |
1006 | } | |
1007 | ||
1008 | fprintf(stdout, "A cyclic subgroup:\n"); | |
1009 | k = 100; | |
1010 | do { | |
1011 | if (k-- == 0) | |
1012 | ABORT; | |
1013 | ||
1014 | if (EC_POINT_is_at_infinity(group, P)) | |
1015 | fprintf(stdout, " point at infinity\n"); | |
1016 | else { | |
1017 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
1018 | ABORT; | |
1019 | ||
1020 | fprintf(stdout, " x = 0x"); | |
1021 | BN_print_fp(stdout, x); | |
1022 | fprintf(stdout, ", y = 0x"); | |
1023 | BN_print_fp(stdout, y); | |
1024 | fprintf(stdout, "\n"); | |
1025 | } | |
1026 | ||
1027 | if (!EC_POINT_copy(R, P)) | |
1028 | ABORT; | |
1029 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
1030 | ABORT; | |
1031 | } | |
1032 | while (!EC_POINT_is_at_infinity(group, P)); | |
1033 | ||
1034 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
1035 | ABORT; | |
1036 | if (!EC_POINT_is_at_infinity(group, P)) | |
1037 | ABORT; | |
7793f30e BM |
1038 | |
1039 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
1040 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1041 | len = | |
1042 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
1043 | sizeof buf, ctx); | |
1044 | if (len == 0) | |
1045 | ABORT; | |
1046 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1047 | ABORT; | |
1048 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1049 | ABORT; | |
1050 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
1051 | for (i = 0; i < len; i++) | |
1052 | fprintf(stdout, "%02X", buf[i]); | |
1053 | # endif | |
1054 | ||
1055 | len = | |
1056 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
1057 | sizeof buf, ctx); | |
1058 | if (len == 0) | |
1059 | ABORT; | |
1060 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1061 | ABORT; | |
1062 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1063 | ABORT; | |
1064 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
1065 | for (i = 0; i < len; i++) | |
1066 | fprintf(stdout, "%02X", buf[i]); | |
7793f30e | 1067 | |
0f113f3e MC |
1068 | /* Change test based on whether binary point compression is enabled or not. */ |
1069 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1070 | len = | |
1071 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
1072 | ctx); | |
1073 | if (len == 0) | |
1074 | ABORT; | |
1075 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1076 | ABORT; | |
1077 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1078 | ABORT; | |
1079 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
1080 | for (i = 0; i < len; i++) | |
1081 | fprintf(stdout, "%02X", buf[i]); | |
1082 | # endif | |
1083 | ||
1084 | fprintf(stdout, "\n"); | |
1085 | ||
1086 | if (!EC_POINT_invert(group, P, ctx)) | |
1087 | ABORT; | |
1088 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1089 | ABORT; | |
1090 | ||
1091 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
1092 | CHAR2_CURVE_TEST | |
1093 | ("NIST curve K-163", | |
1094 | "0800000000000000000000000000000000000000C9", | |
1095 | "1", | |
1096 | "1", | |
1097 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
1098 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
1099 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163); | |
1100 | ||
1101 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
1102 | CHAR2_CURVE_TEST | |
1103 | ("NIST curve B-163", | |
1104 | "0800000000000000000000000000000000000000C9", | |
1105 | "1", | |
1106 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
1107 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
1108 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
1109 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163); | |
1110 | ||
1111 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
1112 | CHAR2_CURVE_TEST | |
1113 | ("NIST curve K-233", | |
1114 | "020000000000000000000000000000000000000004000000000000000001", | |
1115 | "0", | |
1116 | "1", | |
1117 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
1118 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
1119 | 0, | |
1120 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
1121 | "4", 233, C2_K233); | |
1122 | ||
1123 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
1124 | CHAR2_CURVE_TEST | |
1125 | ("NIST curve B-233", | |
1126 | "020000000000000000000000000000000000000004000000000000000001", | |
1127 | "000000000000000000000000000000000000000000000000000000000001", | |
1128 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
1129 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
1130 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
1131 | 1, | |
1132 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
1133 | "2", 233, C2_B233); | |
1134 | ||
1135 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
1136 | CHAR2_CURVE_TEST | |
1137 | ("NIST curve K-283", | |
1138 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1139 | "0", | |
1140 | "1", | |
1141 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
1142 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
1143 | 0, | |
1144 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
1145 | "4", 283, C2_K283); | |
1146 | ||
1147 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
1148 | CHAR2_CURVE_TEST | |
1149 | ("NIST curve B-283", | |
1150 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1151 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
1152 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
1153 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
1154 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
1155 | 1, | |
1156 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
1157 | "2", 283, C2_B283); | |
1158 | ||
1159 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
1160 | CHAR2_CURVE_TEST | |
1161 | ("NIST curve K-409", | |
1162 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1163 | "0", | |
1164 | "1", | |
1165 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
1166 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
1167 | 1, | |
1168 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
1169 | "4", 409, C2_K409); | |
1170 | ||
1171 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
1172 | CHAR2_CURVE_TEST | |
1173 | ("NIST curve B-409", | |
1174 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1175 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1176 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
1177 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
1178 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
1179 | 1, | |
1180 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
1181 | "2", 409, C2_B409); | |
1182 | ||
1183 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
1184 | CHAR2_CURVE_TEST | |
1185 | ("NIST curve K-571", | |
1186 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1187 | "0", | |
1188 | "1", | |
1189 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
1190 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
1191 | 0, | |
1192 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
1193 | "4", 571, C2_K571); | |
1194 | ||
1195 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
1196 | CHAR2_CURVE_TEST | |
1197 | ("NIST curve B-571", | |
1198 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1199 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1200 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
1201 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
1202 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
1203 | 1, | |
1204 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
1205 | "2", 571, C2_B571); | |
1206 | ||
1207 | /* more tests using the last curve */ | |
1208 | ||
1209 | if (!EC_POINT_copy(Q, P)) | |
1210 | ABORT; | |
1211 | if (EC_POINT_is_at_infinity(group, Q)) | |
1212 | ABORT; | |
1213 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
1214 | ABORT; | |
68886be7 | 1215 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
1216 | ABORT; |
1217 | if (!EC_POINT_invert(group, Q, ctx)) | |
1218 | ABORT; /* P = -2Q */ | |
1219 | ||
1220 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
1221 | ABORT; | |
1222 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
1223 | ABORT; | |
1224 | if (!EC_POINT_is_at_infinity(group, R)) | |
1225 | ABORT; /* R = P + 2Q */ | |
1226 | ||
1227 | { | |
1228 | const EC_POINT *points[3]; | |
1229 | const BIGNUM *scalars[3]; | |
1230 | ||
1231 | if (EC_POINT_is_at_infinity(group, Q)) | |
1232 | ABORT; | |
1233 | points[0] = Q; | |
1234 | points[1] = Q; | |
1235 | points[2] = Q; | |
1236 | ||
1237 | if (!BN_add(y, z, BN_value_one())) | |
1238 | ABORT; | |
1239 | if (BN_is_odd(y)) | |
1240 | ABORT; | |
1241 | if (!BN_rshift1(y, y)) | |
1242 | ABORT; | |
1243 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
1244 | scalars[1] = y; | |
1245 | ||
1246 | fprintf(stdout, "combined multiplication ..."); | |
1247 | fflush(stdout); | |
1248 | ||
1249 | /* z is still the group order */ | |
1250 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1251 | ABORT; | |
1252 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
1253 | ABORT; | |
1254 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1255 | ABORT; | |
1256 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
1257 | ABORT; | |
1258 | ||
1259 | fprintf(stdout, "."); | |
1260 | fflush(stdout); | |
1261 | ||
1262 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
1263 | ABORT; | |
1264 | if (!BN_add(z, z, y)) | |
1265 | ABORT; | |
1266 | BN_set_negative(z, 1); | |
1267 | scalars[0] = y; | |
1268 | scalars[1] = z; /* z = -(order + y) */ | |
1269 | ||
1270 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1271 | ABORT; | |
1272 | if (!EC_POINT_is_at_infinity(group, P)) | |
1273 | ABORT; | |
1274 | ||
1275 | fprintf(stdout, "."); | |
1276 | fflush(stdout); | |
1277 | ||
1278 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
1279 | ABORT; | |
1280 | if (!BN_add(z, x, y)) | |
1281 | ABORT; | |
1282 | BN_set_negative(z, 1); | |
1283 | scalars[0] = x; | |
1284 | scalars[1] = y; | |
1285 | scalars[2] = z; /* z = -(x+y) */ | |
1286 | ||
1287 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) | |
1288 | ABORT; | |
1289 | if (!EC_POINT_is_at_infinity(group, P)) | |
1290 | ABORT; | |
1291 | ||
1292 | fprintf(stdout, " ok\n\n"); | |
1293 | } | |
1294 | ||
23a1d5e9 | 1295 | BN_CTX_free(ctx); |
0f113f3e MC |
1296 | BN_free(p); |
1297 | BN_free(a); | |
1298 | BN_free(b); | |
1299 | EC_GROUP_free(group); | |
1300 | EC_POINT_free(P); | |
1301 | EC_POINT_free(Q); | |
1302 | EC_POINT_free(R); | |
1303 | BN_free(x); | |
1304 | BN_free(y); | |
1305 | BN_free(z); | |
1306 | BN_free(cof); | |
1307 | ||
8fdc3734 RS |
1308 | EC_GROUP_free(C2_K163); |
1309 | EC_GROUP_free(C2_B163); | |
1310 | EC_GROUP_free(C2_K233); | |
1311 | EC_GROUP_free(C2_B233); | |
1312 | EC_GROUP_free(C2_K283); | |
1313 | EC_GROUP_free(C2_B283); | |
1314 | EC_GROUP_free(C2_K409); | |
1315 | EC_GROUP_free(C2_B409); | |
1316 | EC_GROUP_free(C2_K571); | |
1317 | EC_GROUP_free(C2_B571); | |
0f113f3e MC |
1318 | |
1319 | } | |
1320 | # endif | |
7793f30e | 1321 | |
5df2a249 | 1322 | static void internal_curve_test(void) |
0f113f3e MC |
1323 | { |
1324 | EC_builtin_curve *curves = NULL; | |
1325 | size_t crv_len = 0, n = 0; | |
1326 | int ok = 1; | |
1327 | ||
1328 | crv_len = EC_get_builtin_curves(NULL, 0); | |
b4faea50 | 1329 | curves = OPENSSL_malloc(sizeof(*curves) * crv_len); |
0f113f3e MC |
1330 | if (curves == NULL) |
1331 | return; | |
1332 | ||
1333 | if (!EC_get_builtin_curves(curves, crv_len)) { | |
1334 | OPENSSL_free(curves); | |
1335 | return; | |
1336 | } | |
1337 | ||
1338 | fprintf(stdout, "testing internal curves: "); | |
1339 | ||
1340 | for (n = 0; n < crv_len; n++) { | |
1341 | EC_GROUP *group = NULL; | |
1342 | int nid = curves[n].nid; | |
1343 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
1344 | ok = 0; | |
1345 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" | |
1346 | " curve %s\n", OBJ_nid2sn(nid)); | |
1347 | /* try next curve */ | |
1348 | continue; | |
1349 | } | |
1350 | if (!EC_GROUP_check(group, NULL)) { | |
1351 | ok = 0; | |
1352 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
1353 | " curve %s\n", OBJ_nid2sn(nid)); | |
1354 | EC_GROUP_free(group); | |
1355 | /* try the next curve */ | |
1356 | continue; | |
1357 | } | |
1358 | fprintf(stdout, "."); | |
1359 | fflush(stdout); | |
1360 | EC_GROUP_free(group); | |
1361 | } | |
1362 | if (ok) | |
1363 | fprintf(stdout, " ok\n\n"); | |
1364 | else { | |
1365 | fprintf(stdout, " failed\n\n"); | |
1366 | ABORT; | |
1367 | } | |
920ed8c8 BB |
1368 | |
1369 | /* Test all built-in curves and let the library choose the EC_METHOD */ | |
1370 | for (n = 0; n < crv_len; n++) { | |
1371 | EC_GROUP *group = NULL; | |
1372 | int nid = curves[n].nid; | |
4a5bbc4e DSH |
1373 | /* |
1374 | * Skip for X25519 because low level operations such as EC_POINT_mul() | |
1375 | * are not supported for this curve | |
1376 | */ | |
1377 | if (nid == NID_X25519) | |
1378 | continue; | |
920ed8c8 BB |
1379 | fprintf(stdout, "%s:\n", OBJ_nid2sn(nid)); |
1380 | fflush(stdout); | |
1381 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
1382 | ABORT; | |
1383 | } | |
1384 | group_order_tests(group); | |
1385 | EC_GROUP_free(group); | |
1386 | } | |
1387 | ||
0f113f3e MC |
1388 | OPENSSL_free(curves); |
1389 | return; | |
1390 | } | |
1391 | ||
1392 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1393 | /* | |
1394 | * nistp_test_params contains magic numbers for testing our optimized | |
1395 | * implementations of several NIST curves with characteristic > 3. | |
1396 | */ | |
1397 | struct nistp_test_params { | |
1398 | const EC_METHOD *(*meth) (); | |
1399 | int degree; | |
1400 | /* | |
1401 | * Qx, Qy and D are taken from | |
79caf5d3 | 1402 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
0f113f3e MC |
1403 | * Otherwise, values are standard curve parameters from FIPS 180-3 |
1404 | */ | |
1405 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1406 | }; | |
1407 | ||
1408 | static const struct nistp_test_params nistp_tests_params[] = { | |
1409 | { | |
1410 | /* P-224 */ | |
1411 | EC_GFp_nistp224_method, | |
1412 | 224, | |
1413 | /* p */ | |
1414 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
1415 | /* a */ | |
1416 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
1417 | /* b */ | |
1418 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
1419 | /* Qx */ | |
1420 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
1421 | /* Qy */ | |
1422 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
1423 | /* Gx */ | |
1424 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
1425 | /* Gy */ | |
1426 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
1427 | /* order */ | |
1428 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
1429 | /* d */ | |
1430 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
1431 | }, | |
1432 | { | |
1433 | /* P-256 */ | |
1434 | EC_GFp_nistp256_method, | |
1435 | 256, | |
1436 | /* p */ | |
1437 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
1438 | /* a */ | |
1439 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
1440 | /* b */ | |
1441 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
1442 | /* Qx */ | |
1443 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
1444 | /* Qy */ | |
1445 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
1446 | /* Gx */ | |
1447 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
1448 | /* Gy */ | |
1449 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
1450 | /* order */ | |
1451 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
1452 | /* d */ | |
1453 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
1454 | }, | |
1455 | { | |
1456 | /* P-521 */ | |
1457 | EC_GFp_nistp521_method, | |
1458 | 521, | |
1459 | /* p */ | |
1460 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
1461 | /* a */ | |
1462 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
1463 | /* b */ | |
1464 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
1465 | /* Qx */ | |
1466 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
1467 | /* Qy */ | |
1468 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
1469 | /* Gx */ | |
1470 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
1471 | /* Gy */ | |
1472 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
1473 | /* order */ | |
1474 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
1475 | /* d */ | |
1476 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
1477 | }, | |
1478 | }; | |
3e00b4c9 | 1479 | |
b597aab8 | 1480 | static void nistp_single_test(const struct nistp_test_params *test) |
0f113f3e MC |
1481 | { |
1482 | BN_CTX *ctx; | |
1483 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; | |
1484 | EC_GROUP *NISTP; | |
1485 | EC_POINT *G, *P, *Q, *Q_CHECK; | |
1486 | ||
1487 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", | |
1488 | test->degree); | |
1489 | ctx = BN_CTX_new(); | |
1490 | p = BN_new(); | |
1491 | a = BN_new(); | |
1492 | b = BN_new(); | |
1493 | x = BN_new(); | |
1494 | y = BN_new(); | |
1495 | m = BN_new(); | |
1496 | n = BN_new(); | |
1497 | order = BN_new(); | |
1498 | ||
1499 | NISTP = EC_GROUP_new(test->meth()); | |
1500 | if (!NISTP) | |
1501 | ABORT; | |
1502 | if (!BN_hex2bn(&p, test->p)) | |
1503 | ABORT; | |
1504 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
1505 | ABORT; | |
1506 | if (!BN_hex2bn(&a, test->a)) | |
1507 | ABORT; | |
1508 | if (!BN_hex2bn(&b, test->b)) | |
1509 | ABORT; | |
1510 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) | |
1511 | ABORT; | |
1512 | G = EC_POINT_new(NISTP); | |
1513 | P = EC_POINT_new(NISTP); | |
1514 | Q = EC_POINT_new(NISTP); | |
1515 | Q_CHECK = EC_POINT_new(NISTP); | |
1516 | if (!BN_hex2bn(&x, test->Qx)) | |
1517 | ABORT; | |
1518 | if (!BN_hex2bn(&y, test->Qy)) | |
1519 | ABORT; | |
1520 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) | |
1521 | ABORT; | |
1522 | if (!BN_hex2bn(&x, test->Gx)) | |
1523 | ABORT; | |
1524 | if (!BN_hex2bn(&y, test->Gy)) | |
1525 | ABORT; | |
1526 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) | |
1527 | ABORT; | |
1528 | if (!BN_hex2bn(&order, test->order)) | |
1529 | ABORT; | |
1530 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1531 | ABORT; | |
1532 | ||
1533 | fprintf(stdout, "verify degree ... "); | |
1534 | if (EC_GROUP_get_degree(NISTP) != test->degree) | |
1535 | ABORT; | |
1536 | fprintf(stdout, "ok\n"); | |
1537 | ||
1538 | fprintf(stdout, "NIST test vectors ... "); | |
1539 | if (!BN_hex2bn(&n, test->d)) | |
1540 | ABORT; | |
1541 | /* fixed point multiplication */ | |
1542 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1543 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1544 | ABORT; | |
1545 | /* random point multiplication */ | |
1546 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1547 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1548 | ABORT; | |
1549 | ||
1550 | /* set generator to P = 2*G, where G is the standard generator */ | |
1551 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) | |
1552 | ABORT; | |
1553 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
1554 | ABORT; | |
1555 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
1556 | if (!BN_rshift(m, n, 1)) | |
1557 | ABORT; | |
1558 | ||
1559 | /* test the non-standard generator */ | |
1560 | /* fixed point multiplication */ | |
1561 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1562 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1563 | ABORT; | |
1564 | /* random point multiplication */ | |
1565 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1566 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1567 | ABORT; | |
1568 | ||
8ce4e7e6 MC |
1569 | /* |
1570 | * We have not performed precomputation so have_precompute mult should be | |
1571 | * false | |
1572 | */ | |
1573 | if (EC_GROUP_have_precompute_mult(NISTP)) | |
1574 | ABORT; | |
1575 | ||
0f113f3e MC |
1576 | /* now repeat all tests with precomputation */ |
1577 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) | |
1578 | ABORT; | |
8ce4e7e6 MC |
1579 | if (!EC_GROUP_have_precompute_mult(NISTP)) |
1580 | ABORT; | |
0f113f3e MC |
1581 | |
1582 | /* fixed point multiplication */ | |
1583 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1584 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1585 | ABORT; | |
1586 | /* random point multiplication */ | |
1587 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1588 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1589 | ABORT; | |
1590 | ||
1591 | /* reset generator */ | |
1592 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1593 | ABORT; | |
1594 | /* fixed point multiplication */ | |
1595 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1596 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1597 | ABORT; | |
1598 | /* random point multiplication */ | |
1599 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1600 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1601 | ABORT; | |
1602 | ||
1603 | fprintf(stdout, "ok\n"); | |
1604 | group_order_tests(NISTP); | |
0f113f3e MC |
1605 | EC_GROUP_free(NISTP); |
1606 | EC_POINT_free(G); | |
1607 | EC_POINT_free(P); | |
1608 | EC_POINT_free(Q); | |
1609 | EC_POINT_free(Q_CHECK); | |
1610 | BN_free(n); | |
1611 | BN_free(m); | |
1612 | BN_free(p); | |
1613 | BN_free(a); | |
1614 | BN_free(b); | |
1615 | BN_free(x); | |
1616 | BN_free(y); | |
1617 | BN_free(order); | |
1618 | BN_CTX_free(ctx); | |
1619 | } | |
3e00b4c9 | 1620 | |
b597aab8 | 1621 | static void nistp_tests() |
0f113f3e MC |
1622 | { |
1623 | unsigned i; | |
04daec86 | 1624 | |
bdcb1a2c | 1625 | for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) { |
0f113f3e MC |
1626 | nistp_single_test(&nistp_tests_params[i]); |
1627 | } | |
1628 | } | |
1629 | # endif | |
7793f30e | 1630 | |
0f113f3e MC |
1631 | static const char rnd_seed[] = |
1632 | "string to make the random number generator think it has entropy"; | |
7793f30e | 1633 | |
0f113f3e MC |
1634 | int main(int argc, char *argv[]) |
1635 | { | |
bbd86bf5 | 1636 | char *p; |
0f113f3e | 1637 | |
bbd86bf5 RS |
1638 | p = getenv("OPENSSL_DEBUG_MEMORY"); |
1639 | if (p != NULL && strcmp(p, "on") == 0) | |
1640 | CRYPTO_set_mem_debug(1); | |
0f113f3e | 1641 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); |
0f113f3e MC |
1642 | |
1643 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
1644 | ||
1645 | prime_field_tests(); | |
1646 | puts(""); | |
1647 | # ifndef OPENSSL_NO_EC2M | |
1648 | char2_field_tests(); | |
1649 | # endif | |
1650 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1651 | nistp_tests(); | |
1652 | # endif | |
1653 | /* test the internal curves */ | |
1654 | internal_curve_test(); | |
1655 | ||
c2e27310 | 1656 | #ifndef OPENSSL_NO_CRYPTO_MDEBUG |
541e9565 DSH |
1657 | if (CRYPTO_mem_leaks_fp(stderr) <= 0) |
1658 | return 1; | |
bbd86bf5 | 1659 | #endif |
0f113f3e MC |
1660 | |
1661 | return 0; | |
1662 | } | |
bb62a8b0 | 1663 | #endif |