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62763f68 | 1 | /* crypto/ec/ectest.c */ |
35b73a1f BM |
2 | /* |
3 | * Originally written by Bodo Moeller for the OpenSSL project. | |
4 | */ | |
62763f68 BM |
5 | /* ==================================================================== |
6 | * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. | |
7 | * | |
8 | * Redistribution and use in source and binary forms, with or without | |
9 | * modification, are permitted provided that the following conditions | |
10 | * are met: | |
11 | * | |
12 | * 1. Redistributions of source code must retain the above copyright | |
13 | * notice, this list of conditions and the following disclaimer. | |
14 | * | |
15 | * 2. Redistributions in binary form must reproduce the above copyright | |
16 | * notice, this list of conditions and the following disclaimer in | |
17 | * the documentation and/or other materials provided with the | |
18 | * distribution. | |
19 | * | |
20 | * 3. All advertising materials mentioning features or use of this | |
21 | * software must display the following acknowledgment: | |
22 | * "This product includes software developed by the OpenSSL Project | |
23 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
24 | * | |
25 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
26 | * endorse or promote products derived from this software without | |
27 | * prior written permission. For written permission, please contact | |
28 | * openssl-core@openssl.org. | |
29 | * | |
30 | * 5. Products derived from this software may not be called "OpenSSL" | |
31 | * nor may "OpenSSL" appear in their names without prior written | |
32 | * permission of the OpenSSL Project. | |
33 | * | |
34 | * 6. Redistributions of any form whatsoever must retain the following | |
35 | * acknowledgment: | |
36 | * "This product includes software developed by the OpenSSL Project | |
37 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
38 | * | |
39 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
40 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
41 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
42 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
43 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
44 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
45 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
46 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
47 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
48 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
49 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
50 | * OF THE POSSIBILITY OF SUCH DAMAGE. | |
51 | * ==================================================================== | |
52 | * | |
53 | * This product includes cryptographic software written by Eric Young | |
54 | * (eay@cryptsoft.com). This product includes software written by Tim | |
55 | * Hudson (tjh@cryptsoft.com). | |
56 | * | |
57 | */ | |
7793f30e BM |
58 | /* ==================================================================== |
59 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | |
60 | * | |
61 | * Portions of the attached software ("Contribution") are developed by | |
62 | * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. | |
63 | * | |
64 | * The Contribution is licensed pursuant to the OpenSSL open source | |
65 | * license provided above. | |
66 | * | |
7793f30e BM |
67 | * The elliptic curve binary polynomial software is originally written by |
68 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. | |
69 | * | |
70 | */ | |
62763f68 | 71 | |
adfe54b7 BM |
72 | #include <stdio.h> |
73 | #include <stdlib.h> | |
0bf23d9b RL |
74 | #ifdef FLAT_INC |
75 | #include "e_os.h" | |
76 | #else | |
b4b82ab4 | 77 | #include "../e_os.h" |
0bf23d9b | 78 | #endif |
413a4a04 | 79 | #include <string.h> |
48fe4d62 | 80 | #include <time.h> |
adfe54b7 | 81 | |
bb62a8b0 BM |
82 | |
83 | #ifdef OPENSSL_NO_EC | |
84 | int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } | |
85 | #else | |
86 | ||
87 | ||
62763f68 | 88 | #include <openssl/ec.h> |
0b13e9f0 | 89 | #ifndef OPENSSL_NO_ENGINE |
b8e2f83a | 90 | #include <openssl/engine.h> |
0b13e9f0 | 91 | #endif |
adfe54b7 | 92 | #include <openssl/err.h> |
7793f30e | 93 | #include <openssl/obj_mac.h> |
d742bd88 | 94 | #include <openssl/objects.h> |
60a938c6 | 95 | #include <openssl/rand.h> |
0f814687 | 96 | #include <openssl/bn.h> |
adfe54b7 | 97 | |
ff82bf3b | 98 | #if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) |
0491e058 AP |
99 | /* suppress "too big too optimize" warning */ |
100 | #pragma warning(disable:4959) | |
101 | #endif | |
102 | ||
adfe54b7 | 103 | #define ABORT do { \ |
48fe4d62 | 104 | fflush(stdout); \ |
bb62a8b0 | 105 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ |
adfe54b7 | 106 | ERR_print_errors_fp(stderr); \ |
55f78baf | 107 | EXIT(1); \ |
adfe54b7 BM |
108 | } while (0) |
109 | ||
652ae06b BM |
110 | #define TIMING_BASE_PT 0 |
111 | #define TIMING_RAND_PT 1 | |
112 | #define TIMING_SIMUL 2 | |
113 | ||
65ee74fb | 114 | #if 0 |
652ae06b | 115 | static void timings(EC_GROUP *group, int type, BN_CTX *ctx) |
48fe4d62 BM |
116 | { |
117 | clock_t clck; | |
118 | int i, j; | |
7793f30e BM |
119 | BIGNUM *s; |
120 | BIGNUM *r[10], *r0[10]; | |
48fe4d62 | 121 | EC_POINT *P; |
48fe4d62 BM |
122 | |
123 | s = BN_new(); | |
7793f30e | 124 | if (s == NULL) ABORT; |
48fe4d62 | 125 | |
7793f30e | 126 | fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); |
48fe4d62 | 127 | if (!EC_GROUP_get_order(group, s, ctx)) ABORT; |
7793f30e | 128 | fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); |
48fe4d62 BM |
129 | fflush(stdout); |
130 | ||
131 | P = EC_POINT_new(group); | |
132 | if (P == NULL) ABORT; | |
133 | EC_POINT_copy(P, EC_GROUP_get0_generator(group)); | |
134 | ||
48fe4d62 BM |
135 | for (i = 0; i < 10; i++) |
136 | { | |
7793f30e BM |
137 | if ((r[i] = BN_new()) == NULL) ABORT; |
138 | if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; | |
652ae06b | 139 | if (type != TIMING_BASE_PT) |
48fe4d62 | 140 | { |
7793f30e BM |
141 | if ((r0[i] = BN_new()) == NULL) ABORT; |
142 | if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; | |
48fe4d62 | 143 | } |
7793f30e BM |
144 | } |
145 | ||
146 | clck = clock(); | |
147 | for (i = 0; i < 10; i++) | |
148 | { | |
48fe4d62 BM |
149 | for (j = 0; j < 10; j++) |
150 | { | |
652ae06b BM |
151 | if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, |
152 | (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT; | |
48fe4d62 | 153 | } |
48fe4d62 | 154 | } |
48fe4d62 BM |
155 | clck = clock() - clck; |
156 | ||
652ae06b BM |
157 | fprintf(stdout, "\n"); |
158 | ||
48fe4d62 BM |
159 | #ifdef CLOCKS_PER_SEC |
160 | /* "To determine the time in seconds, the value returned | |
161 | * by the clock function should be divided by the value | |
162 | * of the macro CLOCKS_PER_SEC." | |
163 | * -- ISO/IEC 9899 */ | |
164 | # define UNIT "s" | |
165 | #else | |
166 | /* "`CLOCKS_PER_SEC' undeclared (first use this function)" | |
167 | * -- cc on NeXTstep/OpenStep */ | |
168 | # define UNIT "units" | |
169 | # define CLOCKS_PER_SEC 1 | |
170 | #endif | |
171 | ||
652ae06b BM |
172 | if (type == TIMING_BASE_PT) { |
173 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
174 | "base point multiplications", (double)clck/CLOCKS_PER_SEC); | |
175 | } else if (type == TIMING_RAND_PT) { | |
176 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
177 | "random point multiplications", (double)clck/CLOCKS_PER_SEC); | |
178 | } else if (type == TIMING_SIMUL) { | |
179 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
180 | "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC); | |
181 | } | |
48fe4d62 BM |
182 | fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); |
183 | ||
184 | EC_POINT_free(P); | |
185 | BN_free(s); | |
7793f30e BM |
186 | for (i = 0; i < 10; i++) |
187 | { | |
188 | BN_free(r[i]); | |
652ae06b | 189 | if (type != TIMING_BASE_PT) BN_free(r0[i]); |
7793f30e | 190 | } |
48fe4d62 | 191 | } |
65ee74fb | 192 | #endif |
48fe4d62 | 193 | |
04daec86 BM |
194 | /* test multiplication with group order, long and negative scalars */ |
195 | static void group_order_tests(EC_GROUP *group) | |
196 | { | |
197 | BIGNUM *n1, *n2, *order; | |
198 | EC_POINT *P = EC_POINT_new(group); | |
199 | EC_POINT *Q = EC_POINT_new(group); | |
04daec86 | 200 | BN_CTX *ctx = BN_CTX_new(); |
eb8ef241 BM |
201 | |
202 | n1 = BN_new(); n2 = BN_new(); order = BN_new(); | |
04daec86 BM |
203 | fprintf(stdout, "verify group order ..."); |
204 | fflush(stdout); | |
205 | if (!EC_GROUP_get_order(group, order, ctx)) ABORT; | |
206 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; | |
207 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
208 | fprintf(stdout, "."); | |
209 | fflush(stdout); | |
210 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; | |
211 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; | |
212 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
213 | fprintf(stdout, " ok\n"); | |
214 | fprintf(stdout, "long/negative scalar tests ... "); | |
215 | if (!BN_one(n1)) ABORT; | |
216 | /* n1 = 1 - order */ | |
217 | if (!BN_sub(n1, n1, order)) ABORT; | |
218 | if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT; | |
219 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; | |
220 | /* n2 = 1 + order */ | |
221 | if (!BN_add(n2, order, BN_value_one())) ABORT; | |
222 | if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; | |
223 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; | |
224 | /* n2 = (1 - order) * (1 + order) */ | |
225 | if (!BN_mul(n2, n1, n2, ctx)) ABORT; | |
226 | if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; | |
227 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; | |
228 | fprintf(stdout, "ok\n"); | |
229 | EC_POINT_free(P); | |
230 | EC_POINT_free(Q); | |
231 | BN_free(n1); | |
232 | BN_free(n2); | |
233 | BN_free(order); | |
234 | BN_CTX_free(ctx); | |
235 | } | |
236 | ||
c13d7c02 | 237 | static void prime_field_tests(void) |
3e00b4c9 | 238 | { |
bb62a8b0 BM |
239 | BN_CTX *ctx = NULL; |
240 | BIGNUM *p, *a, *b; | |
adfe54b7 | 241 | EC_GROUP *group; |
652ae06b | 242 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; |
bb62a8b0 BM |
243 | EC_POINT *P, *Q, *R; |
244 | BIGNUM *x, *y, *z; | |
245 | unsigned char buf[100]; | |
246 | size_t i, len; | |
63c43dcc | 247 | int k; |
bb62a8b0 | 248 | |
48fe4d62 | 249 | #if 1 /* optional */ |
bb62a8b0 BM |
250 | ctx = BN_CTX_new(); |
251 | if (!ctx) ABORT; | |
252 | #endif | |
253 | ||
254 | p = BN_new(); | |
255 | a = BN_new(); | |
256 | b = BN_new(); | |
257 | if (!p || !a || !b) ABORT; | |
258 | ||
42909e39 BM |
259 | if (!BN_hex2bn(&p, "17")) ABORT; |
260 | if (!BN_hex2bn(&a, "1")) ABORT; | |
261 | if (!BN_hex2bn(&b, "1")) ABORT; | |
bb62a8b0 | 262 | |
48fe4d62 BM |
263 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp |
264 | * so that the library gets to choose the EC_METHOD */ | |
adfe54b7 | 265 | if (!group) ABORT; |
48fe4d62 | 266 | |
156e8557 | 267 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
48fe4d62 BM |
268 | |
269 | { | |
270 | EC_GROUP *tmp; | |
271 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
272 | if (!tmp) ABORT; | |
8215e7a9 | 273 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
48fe4d62 BM |
274 | EC_GROUP_free(group); |
275 | group = tmp; | |
276 | } | |
277 | ||
156e8557 | 278 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; |
bb62a8b0 BM |
279 | |
280 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); | |
281 | BN_print_fp(stdout, p); | |
282 | fprintf(stdout, ")\n a = 0x"); | |
283 | BN_print_fp(stdout, a); | |
284 | fprintf(stdout, "\n b = 0x"); | |
285 | BN_print_fp(stdout, b); | |
286 | fprintf(stdout, "\n"); | |
287 | ||
288 | P = EC_POINT_new(group); | |
289 | Q = EC_POINT_new(group); | |
290 | R = EC_POINT_new(group); | |
291 | if (!P || !Q || !R) ABORT; | |
292 | ||
293 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; | |
294 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
295 | ||
296 | buf[0] = 0; | |
297 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; | |
298 | ||
299 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
300 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
301 | ||
302 | x = BN_new(); | |
303 | y = BN_new(); | |
304 | z = BN_new(); | |
305 | if (!x || !y || !z) ABORT; | |
306 | ||
42909e39 | 307 | if (!BN_hex2bn(&x, "D")) ABORT; |
bb62a8b0 BM |
308 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; |
309 | if (!EC_POINT_is_on_curve(group, Q, ctx)) | |
310 | { | |
156e8557 BM |
311 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; |
312 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
bb62a8b0 | 313 | BN_print_fp(stderr, x); |
156e8557 BM |
314 | fprintf(stderr, ", y = 0x"); |
315 | BN_print_fp(stderr, y); | |
bb62a8b0 BM |
316 | fprintf(stderr, "\n"); |
317 | ABORT; | |
318 | } | |
319 | ||
320 | fprintf(stdout, "A cyclic subgroup:\n"); | |
63c43dcc | 321 | k = 100; |
bb62a8b0 BM |
322 | do |
323 | { | |
63c43dcc BM |
324 | if (k-- == 0) ABORT; |
325 | ||
bb62a8b0 BM |
326 | if (EC_POINT_is_at_infinity(group, P)) |
327 | fprintf(stdout, " point at infinity\n"); | |
328 | else | |
329 | { | |
330 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
331 | ||
332 | fprintf(stdout, " x = 0x"); | |
333 | BN_print_fp(stdout, x); | |
334 | fprintf(stdout, ", y = 0x"); | |
335 | BN_print_fp(stdout, y); | |
336 | fprintf(stdout, "\n"); | |
337 | } | |
338 | ||
339 | if (!EC_POINT_copy(R, P)) ABORT; | |
340 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
341 | ||
342 | #if 0 /* optional */ | |
48fe4d62 BM |
343 | { |
344 | EC_POINT *points[3]; | |
345 | ||
346 | points[0] = R; | |
347 | points[1] = Q; | |
348 | points[2] = P; | |
349 | if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; | |
350 | } | |
adfe54b7 | 351 | #endif |
48fe4d62 | 352 | |
bb62a8b0 BM |
353 | } |
354 | while (!EC_POINT_is_at_infinity(group, P)); | |
355 | ||
356 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; | |
357 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
adfe54b7 | 358 | |
bb62a8b0 BM |
359 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
360 | if (len == 0) ABORT; | |
361 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
362 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
04daec86 | 363 | fprintf(stdout, "Generator as octet string, compressed form:\n "); |
bb62a8b0 BM |
364 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
365 | ||
366 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); | |
367 | if (len == 0) ABORT; | |
368 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
369 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
04daec86 | 370 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); |
bb62a8b0 BM |
371 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
372 | ||
373 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); | |
374 | if (len == 0) ABORT; | |
375 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
376 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
04daec86 | 377 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); |
bb62a8b0 BM |
378 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
379 | ||
380 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; | |
381 | fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
382 | BN_print_fp(stdout, x); | |
383 | fprintf(stdout, ", Y = 0x"); | |
384 | BN_print_fp(stdout, y); | |
385 | fprintf(stdout, ", Z = 0x"); | |
386 | BN_print_fp(stdout, z); | |
387 | fprintf(stdout, "\n"); | |
388 | ||
389 | if (!EC_POINT_invert(group, P, ctx)) ABORT; | |
390 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
391 | ||
48fe4d62 | 392 | |
652ae06b BM |
393 | /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) |
394 | * -- not a NIST curve, but commonly used */ | |
395 | ||
396 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; | |
397 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; | |
398 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; | |
399 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; | |
400 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
401 | ||
402 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; | |
403 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; | |
404 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
405 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
406 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; | |
407 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
408 | ||
409 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
410 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
411 | BN_print_fp(stdout, x); | |
412 | fprintf(stdout, "\n y = 0x"); | |
413 | BN_print_fp(stdout, y); | |
414 | fprintf(stdout, "\n"); | |
415 | /* G_y value taken from the standard: */ | |
416 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; | |
417 | if (0 != BN_cmp(y, z)) ABORT; | |
418 | ||
419 | fprintf(stdout, "verify degree ..."); | |
420 | if (EC_GROUP_get_degree(group) != 160) ABORT; | |
421 | fprintf(stdout, " ok\n"); | |
422 | ||
04daec86 | 423 | group_order_tests(group); |
652ae06b BM |
424 | |
425 | if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
426 | if (!EC_GROUP_copy(P_160, group)) ABORT; | |
427 | ||
428 | ||
48fe4d62 BM |
429 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ |
430 | ||
431 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 432 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
433 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; |
434 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; | |
435 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
436 | ||
437 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; | |
438 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
439 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
440 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; | |
441 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
442 | ||
443 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
444 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
445 | BN_print_fp(stdout, x); | |
446 | fprintf(stdout, "\n y = 0x"); | |
447 | BN_print_fp(stdout, y); | |
448 | fprintf(stdout, "\n"); | |
449 | /* G_y value taken from the standard: */ | |
450 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; | |
451 | if (0 != BN_cmp(y, z)) ABORT; | |
7793f30e BM |
452 | |
453 | fprintf(stdout, "verify degree ..."); | |
454 | if (EC_GROUP_get_degree(group) != 192) ABORT; | |
455 | fprintf(stdout, " ok\n"); | |
48fe4d62 | 456 | |
04daec86 | 457 | group_order_tests(group); |
48fe4d62 BM |
458 | |
459 | if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
460 | if (!EC_GROUP_copy(P_192, group)) ABORT; | |
461 | ||
462 | ||
463 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
464 | ||
465 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; | |
e9224c71 | 466 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
467 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; |
468 | if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; | |
469 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
470 | ||
471 | if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; | |
472 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; | |
473 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
474 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; | |
475 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
476 | ||
477 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
478 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
479 | BN_print_fp(stdout, x); | |
480 | fprintf(stdout, "\n y = 0x"); | |
481 | BN_print_fp(stdout, y); | |
482 | fprintf(stdout, "\n"); | |
483 | /* G_y value taken from the standard: */ | |
484 | if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; | |
485 | if (0 != BN_cmp(y, z)) ABORT; | |
486 | ||
7793f30e BM |
487 | fprintf(stdout, "verify degree ..."); |
488 | if (EC_GROUP_get_degree(group) != 224) ABORT; | |
489 | fprintf(stdout, " ok\n"); | |
490 | ||
04daec86 | 491 | group_order_tests(group); |
38374911 | 492 | |
48fe4d62 BM |
493 | if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
494 | if (!EC_GROUP_copy(P_224, group)) ABORT; | |
495 | ||
496 | ||
497 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
498 | ||
499 | if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 500 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
501 | if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
502 | if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; | |
503 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
504 | ||
505 | if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; | |
506 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
507 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
508 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
509 | "84F3B9CAC2FC632551")) ABORT; | |
510 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
511 | ||
512 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
513 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
514 | BN_print_fp(stdout, x); | |
515 | fprintf(stdout, "\n y = 0x"); | |
516 | BN_print_fp(stdout, y); | |
517 | fprintf(stdout, "\n"); | |
518 | /* G_y value taken from the standard: */ | |
519 | if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; | |
520 | if (0 != BN_cmp(y, z)) ABORT; | |
521 | ||
7793f30e BM |
522 | fprintf(stdout, "verify degree ..."); |
523 | if (EC_GROUP_get_degree(group) != 256) ABORT; | |
524 | fprintf(stdout, " ok\n"); | |
525 | ||
04daec86 | 526 | group_order_tests(group); |
38374911 | 527 | |
48fe4d62 BM |
528 | if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
529 | if (!EC_GROUP_copy(P_256, group)) ABORT; | |
530 | ||
531 | ||
532 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
533 | ||
534 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
535 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; | |
e9224c71 | 536 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
537 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
538 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; | |
539 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
540 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; | |
541 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
542 | ||
543 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
544 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; | |
545 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
546 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
547 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
548 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; | |
549 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
550 | ||
551 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
552 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
553 | BN_print_fp(stdout, x); | |
554 | fprintf(stdout, "\n y = 0x"); | |
555 | BN_print_fp(stdout, y); | |
556 | fprintf(stdout, "\n"); | |
557 | /* G_y value taken from the standard: */ | |
558 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
559 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; | |
560 | if (0 != BN_cmp(y, z)) ABORT; | |
561 | ||
7793f30e BM |
562 | fprintf(stdout, "verify degree ..."); |
563 | if (EC_GROUP_get_degree(group) != 384) ABORT; | |
564 | fprintf(stdout, " ok\n"); | |
04daec86 BM |
565 | |
566 | group_order_tests(group); | |
38374911 | 567 | |
48fe4d62 BM |
568 | if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
569 | if (!EC_GROUP_copy(P_384, group)) ABORT; | |
570 | ||
571 | ||
572 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
573 | ||
574 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
575 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
576 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 577 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
578 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
579 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
580 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; | |
581 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
582 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
583 | "DF883D2C34F1EF451FD46B503F00")) ABORT; | |
584 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
585 | ||
586 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
587 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
588 | "3C1856A429BF97E7E31C2E5BD66")) ABORT; | |
589 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; | |
590 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
591 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
592 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
593 | "C9B8899C47AEBB6FB71E91386409")) ABORT; | |
594 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
595 | ||
596 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
597 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
598 | BN_print_fp(stdout, x); | |
599 | fprintf(stdout, "\n y = 0x"); | |
600 | BN_print_fp(stdout, y); | |
601 | fprintf(stdout, "\n"); | |
602 | /* G_y value taken from the standard: */ | |
603 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
604 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
605 | "7086A272C24088BE94769FD16650")) ABORT; | |
606 | if (0 != BN_cmp(y, z)) ABORT; | |
607 | ||
7793f30e BM |
608 | fprintf(stdout, "verify degree ..."); |
609 | if (EC_GROUP_get_degree(group) != 521) ABORT; | |
610 | fprintf(stdout, " ok\n"); | |
04daec86 BM |
611 | |
612 | group_order_tests(group); | |
48fe4d62 BM |
613 | |
614 | if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
615 | if (!EC_GROUP_copy(P_521, group)) ABORT; | |
616 | ||
617 | ||
618 | /* more tests using the last curve */ | |
619 | ||
620 | if (!EC_POINT_copy(Q, P)) ABORT; | |
621 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
622 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; | |
623 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
624 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ | |
625 | ||
626 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; | |
627 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; | |
628 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ | |
629 | ||
630 | { | |
19f6c524 BM |
631 | const EC_POINT *points[4]; |
632 | const BIGNUM *scalars[4]; | |
633 | BIGNUM scalar3; | |
48fe4d62 BM |
634 | |
635 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
38374911 BM |
636 | points[0] = Q; |
637 | points[1] = Q; | |
638 | points[2] = Q; | |
19f6c524 | 639 | points[3] = Q; |
48fe4d62 | 640 | |
04daec86 | 641 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
48fe4d62 BM |
642 | if (!BN_add(y, z, BN_value_one())) ABORT; |
643 | if (BN_is_odd(y)) ABORT; | |
644 | if (!BN_rshift1(y, y)) ABORT; | |
48fe4d62 BM |
645 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
646 | scalars[1] = y; | |
647 | ||
9c10b2c8 | 648 | fprintf(stdout, "combined multiplication ..."); |
616df356 | 649 | fflush(stdout); |
48fe4d62 BM |
650 | |
651 | /* z is still the group order */ | |
652 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
653 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; | |
654 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
655 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; | |
656 | ||
86a921af BM |
657 | fprintf(stdout, "."); |
658 | fflush(stdout); | |
659 | ||
660 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; | |
752938da | 661 | if (!BN_add(z, z, y)) ABORT; |
ff22e913 | 662 | BN_set_negative(z, 1); |
86a921af | 663 | scalars[0] = y; |
752938da | 664 | scalars[1] = z; /* z = -(order + y) */ |
86a921af BM |
665 | |
666 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
667 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
668 | ||
38374911 BM |
669 | fprintf(stdout, "."); |
670 | fflush(stdout); | |
671 | ||
672 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; | |
673 | if (!BN_add(z, x, y)) ABORT; | |
ff22e913 | 674 | BN_set_negative(z, 1); |
38374911 BM |
675 | scalars[0] = x; |
676 | scalars[1] = y; | |
677 | scalars[2] = z; /* z = -(x+y) */ | |
678 | ||
19f6c524 BM |
679 | BN_init(&scalar3); |
680 | BN_zero(&scalar3); | |
681 | scalars[3] = &scalar3; | |
682 | ||
683 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; | |
38374911 BM |
684 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
685 | ||
86a921af | 686 | fprintf(stdout, " ok\n\n"); |
19f6c524 BM |
687 | |
688 | BN_free(&scalar3); | |
48fe4d62 BM |
689 | } |
690 | ||
691 | ||
1226c472 | 692 | #if 0 |
652ae06b BM |
693 | timings(P_160, TIMING_BASE_PT, ctx); |
694 | timings(P_160, TIMING_RAND_PT, ctx); | |
695 | timings(P_160, TIMING_SIMUL, ctx); | |
696 | timings(P_192, TIMING_BASE_PT, ctx); | |
697 | timings(P_192, TIMING_RAND_PT, ctx); | |
698 | timings(P_192, TIMING_SIMUL, ctx); | |
699 | timings(P_224, TIMING_BASE_PT, ctx); | |
700 | timings(P_224, TIMING_RAND_PT, ctx); | |
701 | timings(P_224, TIMING_SIMUL, ctx); | |
702 | timings(P_256, TIMING_BASE_PT, ctx); | |
703 | timings(P_256, TIMING_RAND_PT, ctx); | |
704 | timings(P_256, TIMING_SIMUL, ctx); | |
705 | timings(P_384, TIMING_BASE_PT, ctx); | |
706 | timings(P_384, TIMING_RAND_PT, ctx); | |
707 | timings(P_384, TIMING_SIMUL, ctx); | |
708 | timings(P_521, TIMING_BASE_PT, ctx); | |
709 | timings(P_521, TIMING_RAND_PT, ctx); | |
710 | timings(P_521, TIMING_SIMUL, ctx); | |
48fe4d62 BM |
711 | #endif |
712 | ||
bb62a8b0 BM |
713 | |
714 | if (ctx) | |
715 | BN_CTX_free(ctx); | |
716 | BN_free(p); BN_free(a); BN_free(b); | |
717 | EC_GROUP_free(group); | |
718 | EC_POINT_free(P); | |
719 | EC_POINT_free(Q); | |
720 | EC_POINT_free(R); | |
721 | BN_free(x); BN_free(y); BN_free(z); | |
722 | ||
652ae06b | 723 | if (P_160) EC_GROUP_free(P_160); |
48fe4d62 BM |
724 | if (P_192) EC_GROUP_free(P_192); |
725 | if (P_224) EC_GROUP_free(P_224); | |
726 | if (P_256) EC_GROUP_free(P_256); | |
727 | if (P_384) EC_GROUP_free(P_384); | |
728 | if (P_521) EC_GROUP_free(P_521); | |
729 | ||
7793f30e BM |
730 | } |
731 | ||
732 | /* Change test based on whether binary point compression is enabled or not. */ | |
733 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
734 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
735 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
736 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ | |
737 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
738 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
739 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
740 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
741 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
742 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
743 | BN_print_fp(stdout, x); \ | |
744 | fprintf(stdout, "\n y = 0x"); \ | |
745 | BN_print_fp(stdout, y); \ | |
746 | fprintf(stdout, "\n"); \ | |
747 | /* G_y value taken from the standard: */ \ | |
748 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
749 | if (0 != BN_cmp(y, z)) ABORT; | |
750 | #else | |
751 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
752 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
753 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
754 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
755 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
756 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
757 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
758 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
759 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
760 | BN_print_fp(stdout, x); \ | |
761 | fprintf(stdout, "\n y = 0x"); \ | |
762 | BN_print_fp(stdout, y); \ | |
763 | fprintf(stdout, "\n"); | |
764 | #endif | |
765 | ||
766 | #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
767 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
768 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
769 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
770 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
771 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
772 | fprintf(stdout, "verify degree ..."); \ | |
773 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
774 | fprintf(stdout, " ok\n"); \ | |
04daec86 | 775 | group_order_tests(group); \ |
7793f30e | 776 | if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ |
04daec86 BM |
777 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ |
778 | ||
b3310161 | 779 | #ifndef OPENSSL_NO_EC2M |
7793f30e | 780 | |
c13d7c02 | 781 | static void char2_field_tests(void) |
b3310161 | 782 | { |
7793f30e BM |
783 | BN_CTX *ctx = NULL; |
784 | BIGNUM *p, *a, *b; | |
785 | EC_GROUP *group; | |
786 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; | |
787 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; | |
788 | EC_POINT *P, *Q, *R; | |
789 | BIGNUM *x, *y, *z, *cof; | |
790 | unsigned char buf[100]; | |
791 | size_t i, len; | |
792 | int k; | |
793 | ||
794 | #if 1 /* optional */ | |
795 | ctx = BN_CTX_new(); | |
796 | if (!ctx) ABORT; | |
797 | #endif | |
798 | ||
799 | p = BN_new(); | |
800 | a = BN_new(); | |
801 | b = BN_new(); | |
802 | if (!p || !a || !b) ABORT; | |
803 | ||
804 | if (!BN_hex2bn(&p, "13")) ABORT; | |
805 | if (!BN_hex2bn(&a, "3")) ABORT; | |
806 | if (!BN_hex2bn(&b, "1")) ABORT; | |
807 | ||
848c8495 BM |
808 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m |
809 | * so that the library gets to choose the EC_METHOD */ | |
7793f30e BM |
810 | if (!group) ABORT; |
811 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; | |
812 | ||
813 | { | |
814 | EC_GROUP *tmp; | |
815 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
816 | if (!tmp) ABORT; | |
8215e7a9 | 817 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
7793f30e BM |
818 | EC_GROUP_free(group); |
819 | group = tmp; | |
820 | } | |
821 | ||
822 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; | |
823 | ||
824 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
825 | BN_print_fp(stdout, p); | |
826 | fprintf(stdout, ")\n a = 0x"); | |
827 | BN_print_fp(stdout, a); | |
828 | fprintf(stdout, "\n b = 0x"); | |
829 | BN_print_fp(stdout, b); | |
848c8495 | 830 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); |
7793f30e BM |
831 | |
832 | P = EC_POINT_new(group); | |
833 | Q = EC_POINT_new(group); | |
834 | R = EC_POINT_new(group); | |
835 | if (!P || !Q || !R) ABORT; | |
836 | ||
837 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; | |
838 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
839 | ||
840 | buf[0] = 0; | |
841 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; | |
842 | ||
843 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
844 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
845 | ||
846 | x = BN_new(); | |
847 | y = BN_new(); | |
848 | z = BN_new(); | |
849 | cof = BN_new(); | |
850 | if (!x || !y || !z || !cof) ABORT; | |
851 | ||
852 | if (!BN_hex2bn(&x, "6")) ABORT; | |
853 | /* Change test based on whether binary point compression is enabled or not. */ | |
854 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
855 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; | |
856 | #else | |
857 | if (!BN_hex2bn(&y, "8")) ABORT; | |
858 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; | |
859 | #endif | |
860 | if (!EC_POINT_is_on_curve(group, Q, ctx)) | |
861 | { | |
862 | /* Change test based on whether binary point compression is enabled or not. */ | |
863 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
864 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; | |
865 | #endif | |
866 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
867 | BN_print_fp(stderr, x); | |
868 | fprintf(stderr, ", y = 0x"); | |
869 | BN_print_fp(stderr, y); | |
870 | fprintf(stderr, "\n"); | |
871 | ABORT; | |
872 | } | |
873 | ||
874 | fprintf(stdout, "A cyclic subgroup:\n"); | |
875 | k = 100; | |
876 | do | |
877 | { | |
878 | if (k-- == 0) ABORT; | |
879 | ||
880 | if (EC_POINT_is_at_infinity(group, P)) | |
881 | fprintf(stdout, " point at infinity\n"); | |
882 | else | |
883 | { | |
884 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; | |
885 | ||
886 | fprintf(stdout, " x = 0x"); | |
887 | BN_print_fp(stdout, x); | |
888 | fprintf(stdout, ", y = 0x"); | |
889 | BN_print_fp(stdout, y); | |
890 | fprintf(stdout, "\n"); | |
891 | } | |
892 | ||
893 | if (!EC_POINT_copy(R, P)) ABORT; | |
894 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
895 | } | |
896 | while (!EC_POINT_is_at_infinity(group, P)); | |
897 | ||
898 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; | |
899 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
900 | ||
901 | /* Change test based on whether binary point compression is enabled or not. */ | |
902 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
903 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); | |
904 | if (len == 0) ABORT; | |
905 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
906 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
907 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
908 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
909 | #endif | |
910 | ||
911 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); | |
912 | if (len == 0) ABORT; | |
913 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
914 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
915 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
916 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
917 | ||
918 | /* Change test based on whether binary point compression is enabled or not. */ | |
919 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
920 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); | |
921 | if (len == 0) ABORT; | |
922 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
923 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
924 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
925 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
926 | #endif | |
927 | ||
928 | fprintf(stdout, "\n"); | |
929 | ||
930 | if (!EC_POINT_invert(group, P, ctx)) ABORT; | |
931 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
932 | ||
933 | ||
934 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
935 | CHAR2_CURVE_TEST | |
936 | ( | |
937 | "NIST curve K-163", | |
938 | "0800000000000000000000000000000000000000C9", | |
939 | "1", | |
940 | "1", | |
941 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
942 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
943 | 1, | |
944 | "04000000000000000000020108A2E0CC0D99F8A5EF", | |
945 | "2", | |
946 | 163, | |
947 | C2_K163 | |
948 | ); | |
949 | ||
950 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
951 | CHAR2_CURVE_TEST | |
952 | ( | |
953 | "NIST curve B-163", | |
954 | "0800000000000000000000000000000000000000C9", | |
955 | "1", | |
956 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
957 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
958 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
959 | 1, | |
960 | "040000000000000000000292FE77E70C12A4234C33", | |
961 | "2", | |
962 | 163, | |
963 | C2_B163 | |
964 | ); | |
965 | ||
966 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
967 | CHAR2_CURVE_TEST | |
968 | ( | |
969 | "NIST curve K-233", | |
970 | "020000000000000000000000000000000000000004000000000000000001", | |
971 | "0", | |
972 | "1", | |
973 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
974 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
975 | 0, | |
976 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
977 | "4", | |
978 | 233, | |
979 | C2_K233 | |
980 | ); | |
981 | ||
982 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
983 | CHAR2_CURVE_TEST | |
984 | ( | |
985 | "NIST curve B-233", | |
986 | "020000000000000000000000000000000000000004000000000000000001", | |
987 | "000000000000000000000000000000000000000000000000000000000001", | |
988 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
989 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
990 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
991 | 1, | |
992 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
993 | "2", | |
994 | 233, | |
995 | C2_B233 | |
996 | ); | |
997 | ||
998 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
999 | CHAR2_CURVE_TEST | |
1000 | ( | |
1001 | "NIST curve K-283", | |
1002 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1003 | "0", | |
1004 | "1", | |
1005 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
1006 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
1007 | 0, | |
1008 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
1009 | "4", | |
1010 | 283, | |
1011 | C2_K283 | |
1012 | ); | |
1013 | ||
1014 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
1015 | CHAR2_CURVE_TEST | |
1016 | ( | |
1017 | "NIST curve B-283", | |
1018 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1019 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
1020 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
1021 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
1022 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
1023 | 1, | |
1024 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
1025 | "2", | |
1026 | 283, | |
1027 | C2_B283 | |
1028 | ); | |
1029 | ||
1030 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
1031 | CHAR2_CURVE_TEST | |
1032 | ( | |
1033 | "NIST curve K-409", | |
1034 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1035 | "0", | |
1036 | "1", | |
1037 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
1038 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
1039 | 1, | |
1040 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
1041 | "4", | |
1042 | 409, | |
1043 | C2_K409 | |
1044 | ); | |
1045 | ||
1046 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
1047 | CHAR2_CURVE_TEST | |
1048 | ( | |
1049 | "NIST curve B-409", | |
1050 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1051 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1052 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
1053 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
1054 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
1055 | 1, | |
1056 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
1057 | "2", | |
1058 | 409, | |
1059 | C2_B409 | |
1060 | ); | |
1061 | ||
1062 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
1063 | CHAR2_CURVE_TEST | |
1064 | ( | |
1065 | "NIST curve K-571", | |
1066 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1067 | "0", | |
1068 | "1", | |
1069 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
1070 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
1071 | 0, | |
1072 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
1073 | "4", | |
1074 | 571, | |
1075 | C2_K571 | |
1076 | ); | |
1077 | ||
1078 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
1079 | CHAR2_CURVE_TEST | |
1080 | ( | |
1081 | "NIST curve B-571", | |
1082 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1083 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1084 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
1085 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
1086 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
1087 | 1, | |
1088 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
1089 | "2", | |
1090 | 571, | |
1091 | C2_B571 | |
1092 | ); | |
1093 | ||
1094 | /* more tests using the last curve */ | |
1095 | ||
1096 | if (!EC_POINT_copy(Q, P)) ABORT; | |
1097 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
1098 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; | |
1099 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
1100 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ | |
1101 | ||
1102 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; | |
1103 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; | |
1104 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ | |
1105 | ||
1106 | { | |
1107 | const EC_POINT *points[3]; | |
1108 | const BIGNUM *scalars[3]; | |
1109 | ||
1110 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
1111 | points[0] = Q; | |
1112 | points[1] = Q; | |
1113 | points[2] = Q; | |
1114 | ||
1115 | if (!BN_add(y, z, BN_value_one())) ABORT; | |
1116 | if (BN_is_odd(y)) ABORT; | |
1117 | if (!BN_rshift1(y, y)) ABORT; | |
1118 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
1119 | scalars[1] = y; | |
1120 | ||
1121 | fprintf(stdout, "combined multiplication ..."); | |
1122 | fflush(stdout); | |
1123 | ||
1124 | /* z is still the group order */ | |
1125 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
1126 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; | |
1127 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
1128 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; | |
1129 | ||
1130 | fprintf(stdout, "."); | |
1131 | fflush(stdout); | |
1132 | ||
1133 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; | |
1134 | if (!BN_add(z, z, y)) ABORT; | |
ff22e913 | 1135 | BN_set_negative(z, 1); |
7793f30e BM |
1136 | scalars[0] = y; |
1137 | scalars[1] = z; /* z = -(order + y) */ | |
1138 | ||
1139 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
1140 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
1141 | ||
1142 | fprintf(stdout, "."); | |
1143 | fflush(stdout); | |
1144 | ||
1145 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; | |
1146 | if (!BN_add(z, x, y)) ABORT; | |
ff22e913 | 1147 | BN_set_negative(z, 1); |
7793f30e BM |
1148 | scalars[0] = x; |
1149 | scalars[1] = y; | |
1150 | scalars[2] = z; /* z = -(x+y) */ | |
1151 | ||
1152 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; | |
1153 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
1154 | ||
1155 | fprintf(stdout, " ok\n\n"); | |
1156 | } | |
1157 | ||
1158 | ||
1159 | #if 0 | |
652ae06b BM |
1160 | timings(C2_K163, TIMING_BASE_PT, ctx); |
1161 | timings(C2_K163, TIMING_RAND_PT, ctx); | |
1162 | timings(C2_K163, TIMING_SIMUL, ctx); | |
1163 | timings(C2_B163, TIMING_BASE_PT, ctx); | |
1164 | timings(C2_B163, TIMING_RAND_PT, ctx); | |
1165 | timings(C2_B163, TIMING_SIMUL, ctx); | |
1166 | timings(C2_K233, TIMING_BASE_PT, ctx); | |
1167 | timings(C2_K233, TIMING_RAND_PT, ctx); | |
1168 | timings(C2_K233, TIMING_SIMUL, ctx); | |
1169 | timings(C2_B233, TIMING_BASE_PT, ctx); | |
1170 | timings(C2_B233, TIMING_RAND_PT, ctx); | |
1171 | timings(C2_B233, TIMING_SIMUL, ctx); | |
1172 | timings(C2_K283, TIMING_BASE_PT, ctx); | |
1173 | timings(C2_K283, TIMING_RAND_PT, ctx); | |
1174 | timings(C2_K283, TIMING_SIMUL, ctx); | |
1175 | timings(C2_B283, TIMING_BASE_PT, ctx); | |
1176 | timings(C2_B283, TIMING_RAND_PT, ctx); | |
1177 | timings(C2_B283, TIMING_SIMUL, ctx); | |
1178 | timings(C2_K409, TIMING_BASE_PT, ctx); | |
1179 | timings(C2_K409, TIMING_RAND_PT, ctx); | |
1180 | timings(C2_K409, TIMING_SIMUL, ctx); | |
1181 | timings(C2_B409, TIMING_BASE_PT, ctx); | |
1182 | timings(C2_B409, TIMING_RAND_PT, ctx); | |
1183 | timings(C2_B409, TIMING_SIMUL, ctx); | |
1184 | timings(C2_K571, TIMING_BASE_PT, ctx); | |
1185 | timings(C2_K571, TIMING_RAND_PT, ctx); | |
1186 | timings(C2_K571, TIMING_SIMUL, ctx); | |
1187 | timings(C2_B571, TIMING_BASE_PT, ctx); | |
1188 | timings(C2_B571, TIMING_RAND_PT, ctx); | |
1189 | timings(C2_B571, TIMING_SIMUL, ctx); | |
7793f30e BM |
1190 | #endif |
1191 | ||
1192 | ||
1193 | if (ctx) | |
1194 | BN_CTX_free(ctx); | |
1195 | BN_free(p); BN_free(a); BN_free(b); | |
1196 | EC_GROUP_free(group); | |
1197 | EC_POINT_free(P); | |
1198 | EC_POINT_free(Q); | |
1199 | EC_POINT_free(R); | |
1200 | BN_free(x); BN_free(y); BN_free(z); BN_free(cof); | |
1201 | ||
1202 | if (C2_K163) EC_GROUP_free(C2_K163); | |
1203 | if (C2_B163) EC_GROUP_free(C2_B163); | |
1204 | if (C2_K233) EC_GROUP_free(C2_K233); | |
1205 | if (C2_B233) EC_GROUP_free(C2_B233); | |
1206 | if (C2_K283) EC_GROUP_free(C2_K283); | |
1207 | if (C2_B283) EC_GROUP_free(C2_B283); | |
1208 | if (C2_K409) EC_GROUP_free(C2_K409); | |
1209 | if (C2_B409) EC_GROUP_free(C2_B409); | |
1210 | if (C2_K571) EC_GROUP_free(C2_K571); | |
1211 | if (C2_B571) EC_GROUP_free(C2_B571); | |
1212 | ||
1213 | } | |
b3310161 | 1214 | #endif |
7793f30e | 1215 | |
5df2a249 | 1216 | static void internal_curve_test(void) |
d742bd88 BM |
1217 | { |
1218 | EC_builtin_curve *curves = NULL; | |
1219 | size_t crv_len = 0, n = 0; | |
1220 | int ok = 1; | |
1221 | ||
1222 | crv_len = EC_get_builtin_curves(NULL, 0); | |
1223 | ||
1224 | curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); | |
1225 | ||
1226 | if (curves == NULL) | |
1227 | return; | |
1228 | ||
1229 | if (!EC_get_builtin_curves(curves, crv_len)) | |
1230 | { | |
1231 | OPENSSL_free(curves); | |
1232 | return; | |
1233 | } | |
1234 | ||
1235 | fprintf(stdout, "testing internal curves: "); | |
1236 | ||
1237 | for (n = 0; n < crv_len; n++) | |
1238 | { | |
1239 | EC_GROUP *group = NULL; | |
1240 | int nid = curves[n].nid; | |
8b15c740 | 1241 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) |
d742bd88 BM |
1242 | { |
1243 | ok = 0; | |
8b15c740 | 1244 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" |
d742bd88 BM |
1245 | " curve %s\n", OBJ_nid2sn(nid)); |
1246 | /* try next curve */ | |
1247 | continue; | |
1248 | } | |
1249 | if (!EC_GROUP_check(group, NULL)) | |
1250 | { | |
1251 | ok = 0; | |
1252 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
1253 | " curve %s\n", OBJ_nid2sn(nid)); | |
1254 | EC_GROUP_free(group); | |
1255 | /* try the next curve */ | |
1256 | continue; | |
1257 | } | |
1258 | fprintf(stdout, "."); | |
1259 | fflush(stdout); | |
1260 | EC_GROUP_free(group); | |
1261 | } | |
1262 | if (ok) | |
04daec86 | 1263 | fprintf(stdout, " ok\n\n"); |
d742bd88 | 1264 | else |
3e00b4c9 | 1265 | { |
04daec86 | 1266 | fprintf(stdout, " failed\n\n"); |
3e00b4c9 BM |
1267 | ABORT; |
1268 | } | |
d742bd88 BM |
1269 | OPENSSL_free(curves); |
1270 | return; | |
1271 | } | |
1272 | ||
3e00b4c9 BM |
1273 | #ifdef EC_NISTP_64_GCC_128 |
1274 | /* nistp_test_params contains magic numbers for testing our optimized | |
1275 | * implementations of several NIST curves with characteristic > 3. */ | |
1276 | struct nistp_test_params | |
1277 | { | |
1278 | const EC_METHOD* (*meth) (); | |
1279 | int degree; | |
1280 | /* Qx, Qy and D are taken from | |
1281 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf | |
1282 | * Otherwise, values are standard curve parameters from FIPS 180-3 */ | |
1283 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1284 | }; | |
1285 | ||
1286 | static const struct nistp_test_params nistp_tests_params[] = | |
1287 | { | |
1288 | { | |
1289 | /* P-224 */ | |
1290 | EC_GFp_nistp224_method, | |
1291 | 224, | |
1292 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */ | |
1293 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */ | |
1294 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */ | |
1295 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */ | |
1296 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */ | |
1297 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */ | |
1298 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */ | |
1299 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */ | |
1300 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */ | |
1301 | }, | |
1302 | { | |
1303 | /* P-256 */ | |
1304 | EC_GFp_nistp256_method, | |
1305 | 256, | |
1306 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */ | |
1307 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */ | |
1308 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */ | |
1309 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */ | |
1310 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */ | |
1311 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */ | |
1312 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */ | |
1313 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */ | |
1314 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */ | |
1315 | }, | |
1316 | { | |
1317 | /* P-521 */ | |
1318 | EC_GFp_nistp521_method, | |
1319 | 521, | |
1320 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */ | |
1321 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */ | |
1322 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */ | |
1323 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */ | |
1324 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */ | |
1325 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */ | |
1326 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */ | |
1327 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */ | |
1328 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */ | |
1329 | }, | |
1330 | }; | |
1331 | ||
1332 | void nistp_single_test(const struct nistp_test_params *test) | |
04daec86 | 1333 | { |
3e00b4c9 | 1334 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree); |
04daec86 BM |
1335 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; |
1336 | p = BN_new(); | |
1337 | a = BN_new(); | |
1338 | b = BN_new(); | |
1339 | x = BN_new(); y = BN_new(); | |
1340 | m = BN_new(); n = BN_new(); order = BN_new(); | |
1341 | BN_CTX *ctx = BN_CTX_new(); | |
3e00b4c9 | 1342 | EC_GROUP *NISTP; |
eb8ef241 BM |
1343 | EC_POINT *G, *P, *Q, *Q_CHECK; |
1344 | ||
3e00b4c9 BM |
1345 | NISTP = EC_GROUP_new(test->meth()); |
1346 | if(!NISTP) ABORT; | |
1347 | if (!BN_hex2bn(&p, test->p)) ABORT; | |
04daec86 | 1348 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
3e00b4c9 BM |
1349 | if (!BN_hex2bn(&a, test->a)) ABORT; |
1350 | if (!BN_hex2bn(&b, test->b)) ABORT; | |
1351 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT; | |
1352 | G = EC_POINT_new(NISTP); | |
1353 | P = EC_POINT_new(NISTP); | |
1354 | Q = EC_POINT_new(NISTP); | |
1355 | Q_CHECK = EC_POINT_new(NISTP); | |
1356 | if(!BN_hex2bn(&x, test->Qx)) ABORT; | |
1357 | if(!BN_hex2bn(&y, test->Qy)) ABORT; | |
1358 | if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT; | |
1359 | if (!BN_hex2bn(&x, test->Gx)) ABORT; | |
1360 | if (!BN_hex2bn(&y, test->Gy)) ABORT; | |
1361 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT; | |
1362 | if (!BN_hex2bn(&order, test->order)) ABORT; | |
1363 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; | |
04daec86 BM |
1364 | |
1365 | fprintf(stdout, "verify degree ... "); | |
3e00b4c9 | 1366 | if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT; |
04daec86 BM |
1367 | fprintf(stdout, "ok\n"); |
1368 | ||
1369 | fprintf(stdout, "NIST test vectors ... "); | |
3e00b4c9 | 1370 | if (!BN_hex2bn(&n, test->d)) ABORT; |
04daec86 | 1371 | /* fixed point multiplication */ |
3e00b4c9 BM |
1372 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
1373 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 | 1374 | /* random point multiplication */ |
3e00b4c9 BM |
1375 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
1376 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 BM |
1377 | |
1378 | /* set generator to P = 2*G, where G is the standard generator */ | |
3e00b4c9 BM |
1379 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT; |
1380 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT; | |
04daec86 BM |
1381 | /* set the scalar to m=n/2, where n is the NIST test scalar */ |
1382 | if (!BN_rshift(m, n, 1)) ABORT; | |
1383 | ||
1384 | /* test the non-standard generator */ | |
1385 | /* fixed point multiplication */ | |
3e00b4c9 BM |
1386 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
1387 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 | 1388 | /* random point multiplication */ |
3e00b4c9 BM |
1389 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
1390 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 BM |
1391 | |
1392 | /* now repeat all tests with precomputation */ | |
3e00b4c9 | 1393 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT; |
04daec86 BM |
1394 | |
1395 | /* fixed point multiplication */ | |
3e00b4c9 BM |
1396 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
1397 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 | 1398 | /* random point multiplication */ |
3e00b4c9 BM |
1399 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
1400 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 BM |
1401 | |
1402 | /* reset generator */ | |
3e00b4c9 | 1403 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; |
04daec86 | 1404 | /* fixed point multiplication */ |
3e00b4c9 BM |
1405 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
1406 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 | 1407 | /* random point multiplication */ |
3e00b4c9 BM |
1408 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
1409 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; | |
04daec86 BM |
1410 | |
1411 | fprintf(stdout, "ok\n"); | |
3e00b4c9 | 1412 | group_order_tests(NISTP); |
04daec86 | 1413 | #if 0 |
3e00b4c9 BM |
1414 | timings(NISTP, TIMING_BASE_PT, ctx); |
1415 | timings(NISTP, TIMING_RAND_PT, ctx); | |
04daec86 | 1416 | #endif |
3e00b4c9 | 1417 | EC_GROUP_free(NISTP); |
04daec86 BM |
1418 | EC_POINT_free(G); |
1419 | EC_POINT_free(P); | |
1420 | EC_POINT_free(Q); | |
1421 | EC_POINT_free(Q_CHECK); | |
1422 | BN_free(n); | |
1423 | BN_free(m); | |
1424 | BN_free(p); | |
1425 | BN_free(a); | |
1426 | BN_free(b); | |
1427 | BN_free(x); | |
1428 | BN_free(y); | |
1429 | BN_free(order); | |
1430 | BN_CTX_free(ctx); | |
1431 | } | |
3e00b4c9 BM |
1432 | |
1433 | void nistp_tests() | |
1434 | { | |
1435 | unsigned i; | |
1436 | ||
1437 | for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++) | |
1438 | { | |
1439 | nistp_single_test(&nistp_tests_params[i]); | |
1440 | } | |
1441 | } | |
04daec86 BM |
1442 | #endif |
1443 | ||
7793f30e BM |
1444 | static const char rnd_seed[] = "string to make the random number generator think it has entropy"; |
1445 | ||
1446 | int main(int argc, char *argv[]) | |
1447 | { | |
1448 | ||
1449 | /* enable memory leak checking unless explicitly disabled */ | |
1450 | if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) | |
1451 | { | |
1452 | CRYPTO_malloc_debug_init(); | |
1453 | CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); | |
1454 | } | |
1455 | else | |
1456 | { | |
1457 | /* OPENSSL_DEBUG_MEMORY=off */ | |
1458 | CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); | |
1459 | } | |
1460 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); | |
1461 | ERR_load_crypto_strings(); | |
1462 | ||
1463 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
1464 | ||
1465 | prime_field_tests(); | |
848c8495 | 1466 | puts(""); |
b3310161 | 1467 | #ifndef OPENSSL_NO_EC2M |
7793f30e | 1468 | char2_field_tests(); |
b3310161 | 1469 | #endif |
3e00b4c9 BM |
1470 | #ifdef EC_NISTP_64_GCC_128 |
1471 | nistp_tests(); | |
04daec86 | 1472 | #endif |
d742bd88 BM |
1473 | /* test the internal curves */ |
1474 | internal_curve_test(); | |
7793f30e | 1475 | |
0b13e9f0 | 1476 | #ifndef OPENSSL_NO_ENGINE |
b8e2f83a | 1477 | ENGINE_cleanup(); |
0b13e9f0 | 1478 | #endif |
79aa04ef | 1479 | CRYPTO_cleanup_all_ex_data(); |
bb62a8b0 | 1480 | ERR_free_strings(); |
4c329696 | 1481 | ERR_remove_thread_state(NULL); |
bb62a8b0 BM |
1482 | CRYPTO_mem_leaks_fp(stderr); |
1483 | ||
adfe54b7 BM |
1484 | return 0; |
1485 | } | |
bb62a8b0 | 1486 | #endif |