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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; | |
1e2012b7 | 204 | BIGNUM *x, *y, *z, *yplusone; |
0f113f3e MC |
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(); | |
1e2012b7 EK |
282 | yplusone = BN_new(); |
283 | if (x == NULL || y == NULL || z == NULL || yplusone == NULL) | |
0f113f3e MC |
284 | ABORT; |
285 | ||
286 | if (!BN_hex2bn(&x, "D")) | |
287 | ABORT; | |
288 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) | |
289 | ABORT; | |
68886be7 | 290 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
0f113f3e MC |
291 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) |
292 | ABORT; | |
293 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
294 | BN_print_fp(stderr, x); | |
295 | fprintf(stderr, ", y = 0x"); | |
296 | BN_print_fp(stderr, y); | |
297 | fprintf(stderr, "\n"); | |
298 | ABORT; | |
299 | } | |
300 | ||
301 | fprintf(stdout, "A cyclic subgroup:\n"); | |
302 | k = 100; | |
303 | do { | |
304 | if (k-- == 0) | |
305 | ABORT; | |
306 | ||
307 | if (EC_POINT_is_at_infinity(group, P)) | |
308 | fprintf(stdout, " point at infinity\n"); | |
309 | else { | |
310 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
311 | ABORT; | |
312 | ||
313 | fprintf(stdout, " x = 0x"); | |
314 | BN_print_fp(stdout, x); | |
315 | fprintf(stdout, ", y = 0x"); | |
316 | BN_print_fp(stdout, y); | |
317 | fprintf(stdout, "\n"); | |
318 | } | |
319 | ||
320 | if (!EC_POINT_copy(R, P)) | |
321 | ABORT; | |
322 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
323 | ABORT; | |
324 | ||
0f113f3e MC |
325 | } |
326 | while (!EC_POINT_is_at_infinity(group, P)); | |
327 | ||
328 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
329 | ABORT; | |
330 | if (!EC_POINT_is_at_infinity(group, P)) | |
331 | ABORT; | |
332 | ||
333 | len = | |
334 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
335 | sizeof buf, ctx); | |
336 | if (len == 0) | |
337 | ABORT; | |
338 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
339 | ABORT; | |
340 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
341 | ABORT; | |
342 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
343 | for (i = 0; i < len; i++) | |
344 | fprintf(stdout, "%02X", buf[i]); | |
345 | ||
346 | len = | |
347 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
348 | sizeof buf, ctx); | |
349 | if (len == 0) | |
350 | ABORT; | |
351 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
352 | ABORT; | |
353 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
354 | ABORT; | |
355 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
356 | for (i = 0; i < len; i++) | |
357 | fprintf(stdout, "%02X", buf[i]); | |
358 | ||
359 | len = | |
360 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
361 | ctx); | |
362 | if (len == 0) | |
363 | ABORT; | |
364 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
365 | ABORT; | |
366 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
367 | ABORT; | |
368 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
369 | for (i = 0; i < len; i++) | |
370 | fprintf(stdout, "%02X", buf[i]); | |
371 | ||
372 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) | |
373 | ABORT; | |
374 | fprintf(stdout, | |
375 | "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
376 | BN_print_fp(stdout, x); | |
377 | fprintf(stdout, ", Y = 0x"); | |
378 | BN_print_fp(stdout, y); | |
379 | fprintf(stdout, ", Z = 0x"); | |
380 | BN_print_fp(stdout, z); | |
381 | fprintf(stdout, "\n"); | |
382 | ||
383 | if (!EC_POINT_invert(group, P, ctx)) | |
384 | ABORT; | |
385 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
386 | ABORT; | |
387 | ||
388 | /* | |
389 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
390 | * 2000) -- not a NIST curve, but commonly used | |
391 | */ | |
392 | ||
393 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
394 | ABORT; | |
395 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
396 | ABORT; | |
397 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
398 | ABORT; | |
399 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
400 | ABORT; | |
401 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
402 | ABORT; | |
403 | ||
404 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) | |
405 | ABORT; | |
406 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) | |
407 | ABORT; | |
1e2012b7 EK |
408 | if (!BN_add(yplusone, y, BN_value_one())) |
409 | ABORT; | |
410 | /* | |
411 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
412 | * and therefore setting the coordinates should fail. | |
413 | */ | |
414 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
415 | ABORT; | |
0f113f3e MC |
416 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) |
417 | ABORT; | |
68886be7 | 418 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
419 | ABORT; |
420 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) | |
421 | ABORT; | |
422 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
423 | ABORT; | |
424 | ||
425 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
426 | ABORT; | |
427 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
428 | BN_print_fp(stdout, x); | |
429 | fprintf(stdout, "\n y = 0x"); | |
430 | BN_print_fp(stdout, y); | |
431 | fprintf(stdout, "\n"); | |
432 | /* G_y value taken from the standard: */ | |
433 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) | |
434 | ABORT; | |
435 | if (0 != BN_cmp(y, z)) | |
436 | ABORT; | |
437 | ||
438 | fprintf(stdout, "verify degree ..."); | |
439 | if (EC_GROUP_get_degree(group) != 160) | |
440 | ABORT; | |
441 | fprintf(stdout, " ok\n"); | |
442 | ||
443 | group_order_tests(group); | |
444 | ||
75ebbd9a | 445 | if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
446 | ABORT; |
447 | if (!EC_GROUP_copy(P_160, group)) | |
448 | ABORT; | |
449 | ||
450 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
451 | ||
452 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
453 | ABORT; | |
454 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
455 | ABORT; | |
456 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
457 | ABORT; | |
458 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) | |
459 | ABORT; | |
460 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
461 | ABORT; | |
462 | ||
463 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) | |
464 | ABORT; | |
465 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
466 | ABORT; | |
68886be7 | 467 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
468 | ABORT; |
469 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) | |
470 | ABORT; | |
471 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
472 | ABORT; | |
473 | ||
474 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
475 | ABORT; | |
476 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
477 | BN_print_fp(stdout, x); | |
478 | fprintf(stdout, "\n y = 0x"); | |
479 | BN_print_fp(stdout, y); | |
480 | fprintf(stdout, "\n"); | |
481 | /* G_y value taken from the standard: */ | |
482 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) | |
483 | ABORT; | |
484 | if (0 != BN_cmp(y, z)) | |
485 | ABORT; | |
486 | ||
1e2012b7 EK |
487 | if (!BN_add(yplusone, y, BN_value_one())) |
488 | ABORT; | |
489 | /* | |
490 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
491 | * and therefore setting the coordinates should fail. | |
492 | */ | |
493 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
494 | ABORT; | |
495 | ||
0f113f3e MC |
496 | fprintf(stdout, "verify degree ..."); |
497 | if (EC_GROUP_get_degree(group) != 192) | |
498 | ABORT; | |
499 | fprintf(stdout, " ok\n"); | |
500 | ||
501 | group_order_tests(group); | |
502 | ||
75ebbd9a | 503 | if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
504 | ABORT; |
505 | if (!EC_GROUP_copy(P_192, group)) | |
506 | ABORT; | |
507 | ||
508 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
509 | ||
510 | if (!BN_hex2bn | |
511 | (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) | |
512 | ABORT; | |
513 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
514 | ABORT; | |
515 | if (!BN_hex2bn | |
516 | (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
517 | ABORT; | |
518 | if (!BN_hex2bn | |
519 | (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) | |
520 | ABORT; | |
521 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
522 | ABORT; | |
523 | ||
524 | if (!BN_hex2bn | |
525 | (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) | |
526 | ABORT; | |
527 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
528 | ABORT; | |
68886be7 | 529 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
530 | ABORT; |
531 | if (!BN_hex2bn | |
532 | (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
533 | ABORT; | |
534 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
535 | ABORT; | |
536 | ||
537 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
538 | ABORT; | |
539 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
540 | BN_print_fp(stdout, x); | |
541 | fprintf(stdout, "\n y = 0x"); | |
542 | BN_print_fp(stdout, y); | |
543 | fprintf(stdout, "\n"); | |
544 | /* G_y value taken from the standard: */ | |
545 | if (!BN_hex2bn | |
546 | (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) | |
547 | ABORT; | |
548 | if (0 != BN_cmp(y, z)) | |
549 | ABORT; | |
550 | ||
1e2012b7 EK |
551 | if (!BN_add(yplusone, y, BN_value_one())) |
552 | ABORT; | |
553 | /* | |
554 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
555 | * and therefore setting the coordinates should fail. | |
556 | */ | |
557 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
558 | ABORT; | |
559 | ||
0f113f3e MC |
560 | fprintf(stdout, "verify degree ..."); |
561 | if (EC_GROUP_get_degree(group) != 224) | |
562 | ABORT; | |
563 | fprintf(stdout, " ok\n"); | |
564 | ||
565 | group_order_tests(group); | |
566 | ||
75ebbd9a | 567 | if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
568 | ABORT; |
569 | if (!EC_GROUP_copy(P_224, group)) | |
570 | ABORT; | |
571 | ||
572 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
573 | ||
574 | if (!BN_hex2bn | |
575 | (&p, | |
576 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
577 | ABORT; | |
578 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
579 | ABORT; | |
580 | if (!BN_hex2bn | |
581 | (&a, | |
582 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
583 | ABORT; | |
584 | if (!BN_hex2bn | |
585 | (&b, | |
586 | "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) | |
587 | ABORT; | |
588 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
589 | ABORT; | |
590 | ||
591 | if (!BN_hex2bn | |
592 | (&x, | |
593 | "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) | |
594 | ABORT; | |
595 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
596 | ABORT; | |
68886be7 | 597 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
598 | ABORT; |
599 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
600 | "84F3B9CAC2FC632551")) | |
601 | ABORT; | |
602 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
603 | ABORT; | |
604 | ||
605 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
606 | ABORT; | |
607 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
608 | BN_print_fp(stdout, x); | |
609 | fprintf(stdout, "\n y = 0x"); | |
610 | BN_print_fp(stdout, y); | |
611 | fprintf(stdout, "\n"); | |
612 | /* G_y value taken from the standard: */ | |
613 | if (!BN_hex2bn | |
614 | (&z, | |
615 | "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) | |
616 | ABORT; | |
617 | if (0 != BN_cmp(y, z)) | |
618 | ABORT; | |
619 | ||
1e2012b7 EK |
620 | if (!BN_add(yplusone, y, BN_value_one())) |
621 | ABORT; | |
622 | /* | |
623 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
624 | * and therefore setting the coordinates should fail. | |
625 | */ | |
626 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
627 | ABORT; | |
628 | ||
0f113f3e MC |
629 | fprintf(stdout, "verify degree ..."); |
630 | if (EC_GROUP_get_degree(group) != 256) | |
631 | ABORT; | |
632 | fprintf(stdout, " ok\n"); | |
633 | ||
634 | group_order_tests(group); | |
635 | ||
75ebbd9a | 636 | if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
637 | ABORT; |
638 | if (!EC_GROUP_copy(P_256, group)) | |
639 | ABORT; | |
640 | ||
641 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
642 | ||
643 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
644 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) | |
645 | ABORT; | |
646 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
647 | ABORT; | |
648 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
649 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) | |
650 | ABORT; | |
651 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
652 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
653 | ABORT; | |
654 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
655 | ABORT; | |
656 | ||
657 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
658 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) | |
659 | ABORT; | |
660 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
661 | ABORT; | |
68886be7 | 662 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
663 | ABORT; |
664 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
665 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) | |
666 | ABORT; | |
667 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
668 | ABORT; | |
669 | ||
670 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
671 | ABORT; | |
672 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
673 | BN_print_fp(stdout, x); | |
674 | fprintf(stdout, "\n y = 0x"); | |
675 | BN_print_fp(stdout, y); | |
676 | fprintf(stdout, "\n"); | |
677 | /* G_y value taken from the standard: */ | |
678 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
679 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
680 | ABORT; | |
681 | if (0 != BN_cmp(y, z)) | |
682 | ABORT; | |
683 | ||
1e2012b7 EK |
684 | if (!BN_add(yplusone, y, BN_value_one())) |
685 | ABORT; | |
686 | /* | |
687 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
688 | * and therefore setting the coordinates should fail. | |
689 | */ | |
690 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
691 | ABORT; | |
692 | ||
0f113f3e MC |
693 | fprintf(stdout, "verify degree ..."); |
694 | if (EC_GROUP_get_degree(group) != 384) | |
695 | ABORT; | |
696 | fprintf(stdout, " ok\n"); | |
697 | ||
698 | group_order_tests(group); | |
699 | ||
75ebbd9a | 700 | if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
701 | ABORT; |
702 | if (!EC_GROUP_copy(P_384, group)) | |
703 | ABORT; | |
704 | ||
705 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
706 | ||
707 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
708 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
709 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
710 | ABORT; | |
711 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
712 | ABORT; | |
713 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
714 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
715 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
716 | ABORT; | |
717 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
718 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
719 | "DF883D2C34F1EF451FD46B503F00")) | |
720 | ABORT; | |
721 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
722 | ABORT; | |
723 | ||
724 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
725 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
726 | "3C1856A429BF97E7E31C2E5BD66")) | |
727 | ABORT; | |
728 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
729 | ABORT; | |
68886be7 | 730 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
731 | ABORT; |
732 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
733 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
734 | "C9B8899C47AEBB6FB71E91386409")) | |
735 | ABORT; | |
736 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
737 | ABORT; | |
738 | ||
739 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
740 | ABORT; | |
741 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
742 | BN_print_fp(stdout, x); | |
743 | fprintf(stdout, "\n y = 0x"); | |
744 | BN_print_fp(stdout, y); | |
745 | fprintf(stdout, "\n"); | |
746 | /* G_y value taken from the standard: */ | |
747 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
748 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
749 | "7086A272C24088BE94769FD16650")) | |
750 | ABORT; | |
751 | if (0 != BN_cmp(y, z)) | |
752 | ABORT; | |
753 | ||
1e2012b7 EK |
754 | if (!BN_add(yplusone, y, BN_value_one())) |
755 | ABORT; | |
756 | /* | |
757 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
758 | * and therefore setting the coordinates should fail. | |
759 | */ | |
760 | if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx)) | |
761 | ABORT; | |
762 | ||
0f113f3e MC |
763 | fprintf(stdout, "verify degree ..."); |
764 | if (EC_GROUP_get_degree(group) != 521) | |
765 | ABORT; | |
766 | fprintf(stdout, " ok\n"); | |
767 | ||
768 | group_order_tests(group); | |
769 | ||
75ebbd9a | 770 | if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
0f113f3e MC |
771 | ABORT; |
772 | if (!EC_GROUP_copy(P_521, group)) | |
773 | ABORT; | |
774 | ||
775 | /* more tests using the last curve */ | |
776 | ||
1e2012b7 EK |
777 | /* Restore the point that got mangled in the (x, y + 1) test. */ |
778 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
779 | ABORT; | |
780 | ||
0f113f3e MC |
781 | if (!EC_POINT_copy(Q, P)) |
782 | ABORT; | |
783 | if (EC_POINT_is_at_infinity(group, Q)) | |
784 | ABORT; | |
785 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
786 | ABORT; | |
68886be7 | 787 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
788 | ABORT; |
789 | if (!EC_POINT_invert(group, Q, ctx)) | |
790 | ABORT; /* P = -2Q */ | |
791 | ||
792 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
793 | ABORT; | |
794 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
795 | ABORT; | |
796 | if (!EC_POINT_is_at_infinity(group, R)) | |
797 | ABORT; /* R = P + 2Q */ | |
798 | ||
799 | { | |
800 | const EC_POINT *points[4]; | |
801 | const BIGNUM *scalars[4]; | |
802 | BIGNUM *scalar3; | |
803 | ||
804 | if (EC_POINT_is_at_infinity(group, Q)) | |
805 | ABORT; | |
806 | points[0] = Q; | |
807 | points[1] = Q; | |
808 | points[2] = Q; | |
809 | points[3] = Q; | |
810 | ||
811 | if (!EC_GROUP_get_order(group, z, ctx)) | |
812 | ABORT; | |
813 | if (!BN_add(y, z, BN_value_one())) | |
814 | ABORT; | |
815 | if (BN_is_odd(y)) | |
816 | ABORT; | |
817 | if (!BN_rshift1(y, y)) | |
818 | ABORT; | |
819 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
820 | scalars[1] = y; | |
821 | ||
822 | fprintf(stdout, "combined multiplication ..."); | |
823 | fflush(stdout); | |
824 | ||
825 | /* z is still the group order */ | |
826 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
827 | ABORT; | |
828 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
829 | ABORT; | |
830 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
831 | ABORT; | |
832 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
833 | ABORT; | |
834 | ||
835 | fprintf(stdout, "."); | |
836 | fflush(stdout); | |
837 | ||
838 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
839 | ABORT; | |
840 | if (!BN_add(z, z, y)) | |
841 | ABORT; | |
842 | BN_set_negative(z, 1); | |
843 | scalars[0] = y; | |
844 | scalars[1] = z; /* z = -(order + y) */ | |
845 | ||
846 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
847 | ABORT; | |
848 | if (!EC_POINT_is_at_infinity(group, P)) | |
849 | ABORT; | |
850 | ||
851 | fprintf(stdout, "."); | |
852 | fflush(stdout); | |
853 | ||
854 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
855 | ABORT; | |
856 | if (!BN_add(z, x, y)) | |
857 | ABORT; | |
858 | BN_set_negative(z, 1); | |
859 | scalars[0] = x; | |
860 | scalars[1] = y; | |
861 | scalars[2] = z; /* z = -(x+y) */ | |
862 | ||
863 | scalar3 = BN_new(); | |
864 | if (!scalar3) | |
865 | ABORT; | |
866 | BN_zero(scalar3); | |
867 | scalars[3] = scalar3; | |
868 | ||
869 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
870 | ABORT; | |
871 | if (!EC_POINT_is_at_infinity(group, P)) | |
872 | ABORT; | |
873 | ||
874 | fprintf(stdout, " ok\n\n"); | |
875 | ||
876 | BN_free(scalar3); | |
877 | } | |
878 | ||
23a1d5e9 | 879 | BN_CTX_free(ctx); |
0f113f3e MC |
880 | BN_free(p); |
881 | BN_free(a); | |
882 | BN_free(b); | |
883 | EC_GROUP_free(group); | |
884 | EC_POINT_free(P); | |
885 | EC_POINT_free(Q); | |
886 | EC_POINT_free(R); | |
887 | BN_free(x); | |
888 | BN_free(y); | |
889 | BN_free(z); | |
1e2012b7 | 890 | BN_free(yplusone); |
0f113f3e | 891 | |
8fdc3734 RS |
892 | EC_GROUP_free(P_160); |
893 | EC_GROUP_free(P_192); | |
894 | EC_GROUP_free(P_224); | |
895 | EC_GROUP_free(P_256); | |
896 | EC_GROUP_free(P_384); | |
897 | EC_GROUP_free(P_521); | |
0f113f3e MC |
898 | |
899 | } | |
7793f30e BM |
900 | |
901 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
902 | # ifdef OPENSSL_EC_BIN_PT_COMP |
903 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
904 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
1e2012b7 EK |
905 | if (!BN_hex2bn(&y, _y)) ABORT; \ |
906 | if (!BN_add(yplusone, y, BN_value_one())) ABORT; \ | |
907 | /* \ | |
908 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, \ | |
909 | * and therefore setting the coordinates should fail. \ | |
910 | */ \ | |
911 | if (EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, ctx)) ABORT; \ | |
0f113f3e | 912 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ |
68886be7 | 913 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
0f113f3e MC |
914 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
915 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
916 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
917 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
918 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
919 | BN_print_fp(stdout, x); \ | |
920 | fprintf(stdout, "\n y = 0x"); \ | |
921 | BN_print_fp(stdout, y); \ | |
922 | fprintf(stdout, "\n"); \ | |
923 | /* G_y value taken from the standard: */ \ | |
924 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
925 | if (0 != BN_cmp(y, z)) ABORT; | |
926 | # else | |
927 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
928 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
929 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
1e2012b7 EK |
930 | if (!BN_add(yplusone, y, BN_value_one())) ABORT; \ |
931 | /* \ | |
932 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, \ | |
933 | * and therefore setting the coordinates should fail. \ | |
934 | */ \ | |
935 | if (EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, ctx)) ABORT; \ | |
0f113f3e | 936 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ |
68886be7 | 937 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
0f113f3e MC |
938 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
939 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
940 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
941 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
942 | BN_print_fp(stdout, x); \ | |
943 | fprintf(stdout, "\n y = 0x"); \ | |
944 | BN_print_fp(stdout, y); \ | |
945 | fprintf(stdout, "\n"); | |
946 | # endif | |
947 | ||
948 | # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
949 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
950 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
951 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
952 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
953 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
954 | fprintf(stdout, "verify degree ..."); \ | |
955 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
956 | fprintf(stdout, " ok\n"); \ | |
957 | group_order_tests(group); \ | |
75ebbd9a | 958 | if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \ |
0f113f3e MC |
959 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ |
960 | ||
961 | # ifndef OPENSSL_NO_EC2M | |
7793f30e | 962 | |
c13d7c02 | 963 | static void char2_field_tests(void) |
0f113f3e MC |
964 | { |
965 | BN_CTX *ctx = NULL; | |
966 | BIGNUM *p, *a, *b; | |
967 | EC_GROUP *group; | |
968 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = | |
969 | NULL, *C2_K571 = NULL; | |
970 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = | |
971 | NULL, *C2_B571 = NULL; | |
972 | EC_POINT *P, *Q, *R; | |
1e2012b7 | 973 | BIGNUM *x, *y, *z, *cof, *yplusone; |
0f113f3e MC |
974 | unsigned char buf[100]; |
975 | size_t i, len; | |
976 | int k; | |
977 | ||
0f113f3e MC |
978 | ctx = BN_CTX_new(); |
979 | if (!ctx) | |
980 | ABORT; | |
0f113f3e MC |
981 | |
982 | p = BN_new(); | |
983 | a = BN_new(); | |
984 | b = BN_new(); | |
1e2012b7 | 985 | if (p == NULL || a == NULL || b == NULL) |
0f113f3e MC |
986 | ABORT; |
987 | ||
988 | if (!BN_hex2bn(&p, "13")) | |
989 | ABORT; | |
990 | if (!BN_hex2bn(&a, "3")) | |
991 | ABORT; | |
992 | if (!BN_hex2bn(&b, "1")) | |
993 | ABORT; | |
994 | ||
995 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
996 | * EC_GROUP_new_curve_GF2m | |
997 | * so that the library gets | |
998 | * to choose the EC_METHOD */ | |
999 | if (!group) | |
1000 | ABORT; | |
1001 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
1002 | ABORT; | |
1003 | ||
1004 | { | |
1005 | EC_GROUP *tmp; | |
1006 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
1007 | if (!tmp) | |
1008 | ABORT; | |
1009 | if (!EC_GROUP_copy(tmp, group)) | |
1010 | ABORT; | |
1011 | EC_GROUP_free(group); | |
1012 | group = tmp; | |
1013 | } | |
1014 | ||
1015 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) | |
1016 | ABORT; | |
1017 | ||
1018 | fprintf(stdout, | |
1019 | "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
1020 | BN_print_fp(stdout, p); | |
1021 | fprintf(stdout, ")\n a = 0x"); | |
1022 | BN_print_fp(stdout, a); | |
1023 | fprintf(stdout, "\n b = 0x"); | |
1024 | BN_print_fp(stdout, b); | |
1025 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); | |
1026 | ||
1027 | P = EC_POINT_new(group); | |
1028 | Q = EC_POINT_new(group); | |
1029 | R = EC_POINT_new(group); | |
1030 | if (!P || !Q || !R) | |
1031 | ABORT; | |
1032 | ||
1033 | if (!EC_POINT_set_to_infinity(group, P)) | |
1034 | ABORT; | |
1035 | if (!EC_POINT_is_at_infinity(group, P)) | |
1036 | ABORT; | |
1037 | ||
1038 | buf[0] = 0; | |
1039 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
1040 | ABORT; | |
1041 | ||
1042 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
1043 | ABORT; | |
1044 | if (!EC_POINT_is_at_infinity(group, P)) | |
1045 | ABORT; | |
1046 | ||
1047 | x = BN_new(); | |
1048 | y = BN_new(); | |
1049 | z = BN_new(); | |
1050 | cof = BN_new(); | |
1e2012b7 EK |
1051 | yplusone = BN_new(); |
1052 | if (x == NULL || y == NULL || z == NULL || cof == NULL || yplusone == NULL) | |
0f113f3e MC |
1053 | ABORT; |
1054 | ||
1055 | if (!BN_hex2bn(&x, "6")) | |
1056 | ABORT; | |
7793f30e | 1057 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
1058 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1059 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) | |
1060 | ABORT; | |
1061 | # else | |
1062 | if (!BN_hex2bn(&y, "8")) | |
1063 | ABORT; | |
1064 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
1065 | ABORT; | |
1066 | # endif | |
68886be7 | 1067 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
7793f30e | 1068 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e MC |
1069 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1070 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
1071 | ABORT; | |
1072 | # endif | |
1073 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
1074 | BN_print_fp(stderr, x); | |
1075 | fprintf(stderr, ", y = 0x"); | |
1076 | BN_print_fp(stderr, y); | |
1077 | fprintf(stderr, "\n"); | |
1078 | ABORT; | |
1079 | } | |
1080 | ||
1081 | fprintf(stdout, "A cyclic subgroup:\n"); | |
1082 | k = 100; | |
1083 | do { | |
1084 | if (k-- == 0) | |
1085 | ABORT; | |
1086 | ||
1087 | if (EC_POINT_is_at_infinity(group, P)) | |
1088 | fprintf(stdout, " point at infinity\n"); | |
1089 | else { | |
1090 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
1091 | ABORT; | |
1092 | ||
1093 | fprintf(stdout, " x = 0x"); | |
1094 | BN_print_fp(stdout, x); | |
1095 | fprintf(stdout, ", y = 0x"); | |
1096 | BN_print_fp(stdout, y); | |
1097 | fprintf(stdout, "\n"); | |
1098 | } | |
1099 | ||
1100 | if (!EC_POINT_copy(R, P)) | |
1101 | ABORT; | |
1102 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
1103 | ABORT; | |
1104 | } | |
1105 | while (!EC_POINT_is_at_infinity(group, P)); | |
1106 | ||
1107 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
1108 | ABORT; | |
1109 | if (!EC_POINT_is_at_infinity(group, P)) | |
1110 | ABORT; | |
7793f30e BM |
1111 | |
1112 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e MC |
1113 | # ifdef OPENSSL_EC_BIN_PT_COMP |
1114 | len = | |
1115 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
1116 | sizeof buf, ctx); | |
1117 | if (len == 0) | |
1118 | ABORT; | |
1119 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1120 | ABORT; | |
1121 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1122 | ABORT; | |
1123 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
1124 | for (i = 0; i < len; i++) | |
1125 | fprintf(stdout, "%02X", buf[i]); | |
1126 | # endif | |
1127 | ||
1128 | len = | |
1129 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
1130 | sizeof buf, ctx); | |
1131 | if (len == 0) | |
1132 | ABORT; | |
1133 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1134 | ABORT; | |
1135 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1136 | ABORT; | |
1137 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
1138 | for (i = 0; i < len; i++) | |
1139 | fprintf(stdout, "%02X", buf[i]); | |
7793f30e | 1140 | |
0f113f3e MC |
1141 | /* Change test based on whether binary point compression is enabled or not. */ |
1142 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1143 | len = | |
1144 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
1145 | ctx); | |
1146 | if (len == 0) | |
1147 | ABORT; | |
1148 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1149 | ABORT; | |
1150 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
1151 | ABORT; | |
1152 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
1153 | for (i = 0; i < len; i++) | |
1154 | fprintf(stdout, "%02X", buf[i]); | |
1155 | # endif | |
1156 | ||
1157 | fprintf(stdout, "\n"); | |
1158 | ||
1159 | if (!EC_POINT_invert(group, P, ctx)) | |
1160 | ABORT; | |
1161 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1162 | ABORT; | |
1163 | ||
1164 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
1165 | CHAR2_CURVE_TEST | |
1166 | ("NIST curve K-163", | |
1167 | "0800000000000000000000000000000000000000C9", | |
1168 | "1", | |
1169 | "1", | |
1170 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
1171 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
1172 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163); | |
1173 | ||
1174 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
1175 | CHAR2_CURVE_TEST | |
1176 | ("NIST curve B-163", | |
1177 | "0800000000000000000000000000000000000000C9", | |
1178 | "1", | |
1179 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
1180 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
1181 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
1182 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163); | |
1183 | ||
1184 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
1185 | CHAR2_CURVE_TEST | |
1186 | ("NIST curve K-233", | |
1187 | "020000000000000000000000000000000000000004000000000000000001", | |
1188 | "0", | |
1189 | "1", | |
1190 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
1191 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
1192 | 0, | |
1193 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
1194 | "4", 233, C2_K233); | |
1195 | ||
1196 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
1197 | CHAR2_CURVE_TEST | |
1198 | ("NIST curve B-233", | |
1199 | "020000000000000000000000000000000000000004000000000000000001", | |
1200 | "000000000000000000000000000000000000000000000000000000000001", | |
1201 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
1202 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
1203 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
1204 | 1, | |
1205 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
1206 | "2", 233, C2_B233); | |
1207 | ||
1208 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
1209 | CHAR2_CURVE_TEST | |
1210 | ("NIST curve K-283", | |
1211 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1212 | "0", | |
1213 | "1", | |
1214 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
1215 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
1216 | 0, | |
1217 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
1218 | "4", 283, C2_K283); | |
1219 | ||
1220 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
1221 | CHAR2_CURVE_TEST | |
1222 | ("NIST curve B-283", | |
1223 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1224 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
1225 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
1226 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
1227 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
1228 | 1, | |
1229 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
1230 | "2", 283, C2_B283); | |
1231 | ||
1232 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
1233 | CHAR2_CURVE_TEST | |
1234 | ("NIST curve K-409", | |
1235 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1236 | "0", | |
1237 | "1", | |
1238 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
1239 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
1240 | 1, | |
1241 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
1242 | "4", 409, C2_K409); | |
1243 | ||
1244 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
1245 | CHAR2_CURVE_TEST | |
1246 | ("NIST curve B-409", | |
1247 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1248 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1249 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
1250 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
1251 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
1252 | 1, | |
1253 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
1254 | "2", 409, C2_B409); | |
1255 | ||
1256 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
1257 | CHAR2_CURVE_TEST | |
1258 | ("NIST curve K-571", | |
1259 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1260 | "0", | |
1261 | "1", | |
1262 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
1263 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
1264 | 0, | |
1265 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
1266 | "4", 571, C2_K571); | |
1267 | ||
1268 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
1269 | CHAR2_CURVE_TEST | |
1270 | ("NIST curve B-571", | |
1271 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1272 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1273 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
1274 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
1275 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
1276 | 1, | |
1277 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
1278 | "2", 571, C2_B571); | |
1279 | ||
1280 | /* more tests using the last curve */ | |
1281 | ||
1282 | if (!EC_POINT_copy(Q, P)) | |
1283 | ABORT; | |
1284 | if (EC_POINT_is_at_infinity(group, Q)) | |
1285 | ABORT; | |
1286 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
1287 | ABORT; | |
68886be7 | 1288 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
0f113f3e MC |
1289 | ABORT; |
1290 | if (!EC_POINT_invert(group, Q, ctx)) | |
1291 | ABORT; /* P = -2Q */ | |
1292 | ||
1293 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
1294 | ABORT; | |
1295 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
1296 | ABORT; | |
1297 | if (!EC_POINT_is_at_infinity(group, R)) | |
1298 | ABORT; /* R = P + 2Q */ | |
1299 | ||
1300 | { | |
1301 | const EC_POINT *points[3]; | |
1302 | const BIGNUM *scalars[3]; | |
1303 | ||
1304 | if (EC_POINT_is_at_infinity(group, Q)) | |
1305 | ABORT; | |
1306 | points[0] = Q; | |
1307 | points[1] = Q; | |
1308 | points[2] = Q; | |
1309 | ||
1310 | if (!BN_add(y, z, BN_value_one())) | |
1311 | ABORT; | |
1312 | if (BN_is_odd(y)) | |
1313 | ABORT; | |
1314 | if (!BN_rshift1(y, y)) | |
1315 | ABORT; | |
1316 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
1317 | scalars[1] = y; | |
1318 | ||
1319 | fprintf(stdout, "combined multiplication ..."); | |
1320 | fflush(stdout); | |
1321 | ||
1322 | /* z is still the group order */ | |
1323 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1324 | ABORT; | |
1325 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
1326 | ABORT; | |
1327 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
1328 | ABORT; | |
1329 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
1330 | ABORT; | |
1331 | ||
1332 | fprintf(stdout, "."); | |
1333 | fflush(stdout); | |
1334 | ||
1335 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
1336 | ABORT; | |
1337 | if (!BN_add(z, z, y)) | |
1338 | ABORT; | |
1339 | BN_set_negative(z, 1); | |
1340 | scalars[0] = y; | |
1341 | scalars[1] = z; /* z = -(order + y) */ | |
1342 | ||
1343 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
1344 | ABORT; | |
1345 | if (!EC_POINT_is_at_infinity(group, P)) | |
1346 | ABORT; | |
1347 | ||
1348 | fprintf(stdout, "."); | |
1349 | fflush(stdout); | |
1350 | ||
1351 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
1352 | ABORT; | |
1353 | if (!BN_add(z, x, y)) | |
1354 | ABORT; | |
1355 | BN_set_negative(z, 1); | |
1356 | scalars[0] = x; | |
1357 | scalars[1] = y; | |
1358 | scalars[2] = z; /* z = -(x+y) */ | |
1359 | ||
1360 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) | |
1361 | ABORT; | |
1362 | if (!EC_POINT_is_at_infinity(group, P)) | |
1363 | ABORT; | |
1364 | ||
1365 | fprintf(stdout, " ok\n\n"); | |
1366 | } | |
1367 | ||
23a1d5e9 | 1368 | BN_CTX_free(ctx); |
0f113f3e MC |
1369 | BN_free(p); |
1370 | BN_free(a); | |
1371 | BN_free(b); | |
1372 | EC_GROUP_free(group); | |
1373 | EC_POINT_free(P); | |
1374 | EC_POINT_free(Q); | |
1375 | EC_POINT_free(R); | |
1376 | BN_free(x); | |
1377 | BN_free(y); | |
1378 | BN_free(z); | |
1379 | BN_free(cof); | |
1e2012b7 | 1380 | BN_free(yplusone); |
0f113f3e | 1381 | |
8fdc3734 RS |
1382 | EC_GROUP_free(C2_K163); |
1383 | EC_GROUP_free(C2_B163); | |
1384 | EC_GROUP_free(C2_K233); | |
1385 | EC_GROUP_free(C2_B233); | |
1386 | EC_GROUP_free(C2_K283); | |
1387 | EC_GROUP_free(C2_B283); | |
1388 | EC_GROUP_free(C2_K409); | |
1389 | EC_GROUP_free(C2_B409); | |
1390 | EC_GROUP_free(C2_K571); | |
1391 | EC_GROUP_free(C2_B571); | |
0f113f3e MC |
1392 | |
1393 | } | |
1394 | # endif | |
7793f30e | 1395 | |
5df2a249 | 1396 | static void internal_curve_test(void) |
0f113f3e MC |
1397 | { |
1398 | EC_builtin_curve *curves = NULL; | |
1399 | size_t crv_len = 0, n = 0; | |
1400 | int ok = 1; | |
1401 | ||
1402 | crv_len = EC_get_builtin_curves(NULL, 0); | |
b4faea50 | 1403 | curves = OPENSSL_malloc(sizeof(*curves) * crv_len); |
0f113f3e MC |
1404 | if (curves == NULL) |
1405 | return; | |
1406 | ||
1407 | if (!EC_get_builtin_curves(curves, crv_len)) { | |
1408 | OPENSSL_free(curves); | |
1409 | return; | |
1410 | } | |
1411 | ||
1412 | fprintf(stdout, "testing internal curves: "); | |
1413 | ||
1414 | for (n = 0; n < crv_len; n++) { | |
1415 | EC_GROUP *group = NULL; | |
1416 | int nid = curves[n].nid; | |
1417 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
1418 | ok = 0; | |
1419 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" | |
1420 | " curve %s\n", OBJ_nid2sn(nid)); | |
1421 | /* try next curve */ | |
1422 | continue; | |
1423 | } | |
1424 | if (!EC_GROUP_check(group, NULL)) { | |
1425 | ok = 0; | |
1426 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
1427 | " curve %s\n", OBJ_nid2sn(nid)); | |
1428 | EC_GROUP_free(group); | |
1429 | /* try the next curve */ | |
1430 | continue; | |
1431 | } | |
1432 | fprintf(stdout, "."); | |
1433 | fflush(stdout); | |
1434 | EC_GROUP_free(group); | |
1435 | } | |
1436 | if (ok) | |
1437 | fprintf(stdout, " ok\n\n"); | |
1438 | else { | |
1439 | fprintf(stdout, " failed\n\n"); | |
1440 | ABORT; | |
1441 | } | |
920ed8c8 BB |
1442 | |
1443 | /* Test all built-in curves and let the library choose the EC_METHOD */ | |
1444 | for (n = 0; n < crv_len; n++) { | |
1445 | EC_GROUP *group = NULL; | |
1446 | int nid = curves[n].nid; | |
4a5bbc4e DSH |
1447 | /* |
1448 | * Skip for X25519 because low level operations such as EC_POINT_mul() | |
1449 | * are not supported for this curve | |
1450 | */ | |
1451 | if (nid == NID_X25519) | |
1452 | continue; | |
920ed8c8 BB |
1453 | fprintf(stdout, "%s:\n", OBJ_nid2sn(nid)); |
1454 | fflush(stdout); | |
1455 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
1456 | ABORT; | |
1457 | } | |
1458 | group_order_tests(group); | |
1459 | EC_GROUP_free(group); | |
1460 | } | |
1461 | ||
0f113f3e MC |
1462 | OPENSSL_free(curves); |
1463 | return; | |
1464 | } | |
1465 | ||
1466 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1467 | /* | |
1468 | * nistp_test_params contains magic numbers for testing our optimized | |
1469 | * implementations of several NIST curves with characteristic > 3. | |
1470 | */ | |
1471 | struct nistp_test_params { | |
1472 | const EC_METHOD *(*meth) (); | |
1473 | int degree; | |
1474 | /* | |
1475 | * Qx, Qy and D are taken from | |
79caf5d3 | 1476 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
0f113f3e MC |
1477 | * Otherwise, values are standard curve parameters from FIPS 180-3 |
1478 | */ | |
1479 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1480 | }; | |
1481 | ||
1482 | static const struct nistp_test_params nistp_tests_params[] = { | |
1483 | { | |
1484 | /* P-224 */ | |
1485 | EC_GFp_nistp224_method, | |
1486 | 224, | |
1487 | /* p */ | |
1488 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
1489 | /* a */ | |
1490 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
1491 | /* b */ | |
1492 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
1493 | /* Qx */ | |
1494 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
1495 | /* Qy */ | |
1496 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
1497 | /* Gx */ | |
1498 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
1499 | /* Gy */ | |
1500 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
1501 | /* order */ | |
1502 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
1503 | /* d */ | |
1504 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
1505 | }, | |
1506 | { | |
1507 | /* P-256 */ | |
1508 | EC_GFp_nistp256_method, | |
1509 | 256, | |
1510 | /* p */ | |
1511 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
1512 | /* a */ | |
1513 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
1514 | /* b */ | |
1515 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
1516 | /* Qx */ | |
1517 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
1518 | /* Qy */ | |
1519 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
1520 | /* Gx */ | |
1521 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
1522 | /* Gy */ | |
1523 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
1524 | /* order */ | |
1525 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
1526 | /* d */ | |
1527 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
1528 | }, | |
1529 | { | |
1530 | /* P-521 */ | |
1531 | EC_GFp_nistp521_method, | |
1532 | 521, | |
1533 | /* p */ | |
1534 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
1535 | /* a */ | |
1536 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
1537 | /* b */ | |
1538 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
1539 | /* Qx */ | |
1540 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
1541 | /* Qy */ | |
1542 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
1543 | /* Gx */ | |
1544 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
1545 | /* Gy */ | |
1546 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
1547 | /* order */ | |
1548 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
1549 | /* d */ | |
1550 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
1551 | }, | |
1552 | }; | |
3e00b4c9 | 1553 | |
b597aab8 | 1554 | static void nistp_single_test(const struct nistp_test_params *test) |
0f113f3e MC |
1555 | { |
1556 | BN_CTX *ctx; | |
1e2012b7 | 1557 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order, *yplusone; |
0f113f3e MC |
1558 | EC_GROUP *NISTP; |
1559 | EC_POINT *G, *P, *Q, *Q_CHECK; | |
1560 | ||
1561 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", | |
1562 | test->degree); | |
1563 | ctx = BN_CTX_new(); | |
1564 | p = BN_new(); | |
1565 | a = BN_new(); | |
1566 | b = BN_new(); | |
1567 | x = BN_new(); | |
1568 | y = BN_new(); | |
1569 | m = BN_new(); | |
1570 | n = BN_new(); | |
1571 | order = BN_new(); | |
1e2012b7 | 1572 | yplusone = BN_new(); |
0f113f3e MC |
1573 | |
1574 | NISTP = EC_GROUP_new(test->meth()); | |
1575 | if (!NISTP) | |
1576 | ABORT; | |
1577 | if (!BN_hex2bn(&p, test->p)) | |
1578 | ABORT; | |
1579 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
1580 | ABORT; | |
1581 | if (!BN_hex2bn(&a, test->a)) | |
1582 | ABORT; | |
1583 | if (!BN_hex2bn(&b, test->b)) | |
1584 | ABORT; | |
1585 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) | |
1586 | ABORT; | |
1587 | G = EC_POINT_new(NISTP); | |
1588 | P = EC_POINT_new(NISTP); | |
1589 | Q = EC_POINT_new(NISTP); | |
1590 | Q_CHECK = EC_POINT_new(NISTP); | |
1591 | if (!BN_hex2bn(&x, test->Qx)) | |
1592 | ABORT; | |
1593 | if (!BN_hex2bn(&y, test->Qy)) | |
1594 | ABORT; | |
1e2012b7 EK |
1595 | if (!BN_add(yplusone, y, BN_value_one())) |
1596 | ABORT; | |
1597 | /* | |
1598 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
1599 | * and therefore setting the coordinates should fail. | |
1600 | */ | |
1601 | if (EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, yplusone, ctx)) | |
1602 | ABORT; | |
0f113f3e MC |
1603 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) |
1604 | ABORT; | |
1605 | if (!BN_hex2bn(&x, test->Gx)) | |
1606 | ABORT; | |
1607 | if (!BN_hex2bn(&y, test->Gy)) | |
1608 | ABORT; | |
1609 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) | |
1610 | ABORT; | |
1611 | if (!BN_hex2bn(&order, test->order)) | |
1612 | ABORT; | |
1613 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1614 | ABORT; | |
1615 | ||
1616 | fprintf(stdout, "verify degree ... "); | |
1617 | if (EC_GROUP_get_degree(NISTP) != test->degree) | |
1618 | ABORT; | |
1619 | fprintf(stdout, "ok\n"); | |
1620 | ||
1621 | fprintf(stdout, "NIST test vectors ... "); | |
1622 | if (!BN_hex2bn(&n, test->d)) | |
1623 | ABORT; | |
1624 | /* fixed point multiplication */ | |
1625 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1626 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1627 | ABORT; | |
1628 | /* random point multiplication */ | |
1629 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1630 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1631 | ABORT; | |
1632 | ||
1633 | /* set generator to P = 2*G, where G is the standard generator */ | |
1634 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) | |
1635 | ABORT; | |
1636 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
1637 | ABORT; | |
1638 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
1639 | if (!BN_rshift(m, n, 1)) | |
1640 | ABORT; | |
1641 | ||
1642 | /* test the non-standard generator */ | |
1643 | /* fixed point multiplication */ | |
1644 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1645 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1646 | ABORT; | |
1647 | /* random point multiplication */ | |
1648 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1649 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1650 | ABORT; | |
1651 | ||
8ce4e7e6 MC |
1652 | /* |
1653 | * We have not performed precomputation so have_precompute mult should be | |
1654 | * false | |
1655 | */ | |
1656 | if (EC_GROUP_have_precompute_mult(NISTP)) | |
1657 | ABORT; | |
1658 | ||
0f113f3e MC |
1659 | /* now repeat all tests with precomputation */ |
1660 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) | |
1661 | ABORT; | |
8ce4e7e6 MC |
1662 | if (!EC_GROUP_have_precompute_mult(NISTP)) |
1663 | ABORT; | |
0f113f3e MC |
1664 | |
1665 | /* fixed point multiplication */ | |
1666 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1667 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1668 | ABORT; | |
1669 | /* random point multiplication */ | |
1670 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1671 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1672 | ABORT; | |
1673 | ||
1674 | /* reset generator */ | |
1675 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1676 | ABORT; | |
1677 | /* fixed point multiplication */ | |
1678 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1679 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1680 | ABORT; | |
1681 | /* random point multiplication */ | |
1682 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1683 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1684 | ABORT; | |
1685 | ||
1686 | fprintf(stdout, "ok\n"); | |
1687 | group_order_tests(NISTP); | |
0f113f3e MC |
1688 | EC_GROUP_free(NISTP); |
1689 | EC_POINT_free(G); | |
1690 | EC_POINT_free(P); | |
1691 | EC_POINT_free(Q); | |
1692 | EC_POINT_free(Q_CHECK); | |
1693 | BN_free(n); | |
1694 | BN_free(m); | |
1695 | BN_free(p); | |
1696 | BN_free(a); | |
1697 | BN_free(b); | |
1698 | BN_free(x); | |
1699 | BN_free(y); | |
1700 | BN_free(order); | |
1e2012b7 | 1701 | BN_free(yplusone); |
0f113f3e MC |
1702 | BN_CTX_free(ctx); |
1703 | } | |
3e00b4c9 | 1704 | |
b597aab8 | 1705 | static void nistp_tests() |
0f113f3e MC |
1706 | { |
1707 | unsigned i; | |
04daec86 | 1708 | |
bdcb1a2c | 1709 | for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) { |
0f113f3e MC |
1710 | nistp_single_test(&nistp_tests_params[i]); |
1711 | } | |
1712 | } | |
1713 | # endif | |
7793f30e | 1714 | |
0110a470 KY |
1715 | static void parameter_test(void) |
1716 | { | |
1717 | EC_GROUP *group, *group2; | |
1718 | ECPARAMETERS *ecparameters; | |
1719 | ||
1720 | fprintf(stderr, "\ntesting ecparameters conversion ..."); | |
1721 | ||
1722 | group = EC_GROUP_new_by_curve_name(NID_secp112r1); | |
1723 | if (!group) | |
1724 | ABORT; | |
1725 | ||
1726 | ecparameters = EC_GROUP_get_ecparameters(group, NULL); | |
1727 | if (!ecparameters) | |
1728 | ABORT; | |
1729 | group2 = EC_GROUP_new_from_ecparameters(ecparameters); | |
1730 | if (!group2) | |
1731 | ABORT; | |
1732 | if (EC_GROUP_cmp(group, group2, NULL)) | |
1733 | ABORT; | |
1734 | ||
1735 | fprintf(stderr, " ok\n"); | |
1736 | ||
1737 | EC_GROUP_free(group); | |
1738 | EC_GROUP_free(group2); | |
1739 | ECPARAMETERS_free(ecparameters); | |
1740 | } | |
1741 | ||
0f113f3e MC |
1742 | static const char rnd_seed[] = |
1743 | "string to make the random number generator think it has entropy"; | |
7793f30e | 1744 | |
0f113f3e MC |
1745 | int main(int argc, char *argv[]) |
1746 | { | |
bbd86bf5 | 1747 | char *p; |
0f113f3e | 1748 | |
bbd86bf5 RS |
1749 | p = getenv("OPENSSL_DEBUG_MEMORY"); |
1750 | if (p != NULL && strcmp(p, "on") == 0) | |
1751 | CRYPTO_set_mem_debug(1); | |
0f113f3e | 1752 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); |
0f113f3e MC |
1753 | |
1754 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
1755 | ||
1756 | prime_field_tests(); | |
1757 | puts(""); | |
1758 | # ifndef OPENSSL_NO_EC2M | |
1759 | char2_field_tests(); | |
1760 | # endif | |
1761 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1762 | nistp_tests(); | |
1763 | # endif | |
1764 | /* test the internal curves */ | |
1765 | internal_curve_test(); | |
1766 | ||
0110a470 KY |
1767 | parameter_test(); |
1768 | ||
c2e27310 | 1769 | #ifndef OPENSSL_NO_CRYPTO_MDEBUG |
541e9565 DSH |
1770 | if (CRYPTO_mem_leaks_fp(stderr) <= 0) |
1771 | return 1; | |
bbd86bf5 | 1772 | #endif |
0f113f3e MC |
1773 | |
1774 | return 0; | |
1775 | } | |
bb62a8b0 | 1776 | #endif |