]>
Commit | Line | Data |
---|---|---|
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 | ||
41fdcfa7 BM |
110 | void prime_field_tests(void); |
111 | void char2_field_tests(void); | |
d742bd88 | 112 | void internal_curve_test(void); |
41fdcfa7 | 113 | |
652ae06b BM |
114 | #define TIMING_BASE_PT 0 |
115 | #define TIMING_RAND_PT 1 | |
116 | #define TIMING_SIMUL 2 | |
117 | ||
65ee74fb | 118 | #if 0 |
652ae06b | 119 | static void timings(EC_GROUP *group, int type, BN_CTX *ctx) |
48fe4d62 BM |
120 | { |
121 | clock_t clck; | |
122 | int i, j; | |
7793f30e BM |
123 | BIGNUM *s; |
124 | BIGNUM *r[10], *r0[10]; | |
48fe4d62 | 125 | EC_POINT *P; |
48fe4d62 BM |
126 | |
127 | s = BN_new(); | |
7793f30e | 128 | if (s == NULL) ABORT; |
48fe4d62 | 129 | |
7793f30e | 130 | fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); |
48fe4d62 | 131 | if (!EC_GROUP_get_order(group, s, ctx)) ABORT; |
7793f30e | 132 | fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); |
48fe4d62 BM |
133 | fflush(stdout); |
134 | ||
135 | P = EC_POINT_new(group); | |
136 | if (P == NULL) ABORT; | |
137 | EC_POINT_copy(P, EC_GROUP_get0_generator(group)); | |
138 | ||
48fe4d62 BM |
139 | for (i = 0; i < 10; i++) |
140 | { | |
7793f30e BM |
141 | if ((r[i] = BN_new()) == NULL) ABORT; |
142 | if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; | |
652ae06b | 143 | if (type != TIMING_BASE_PT) |
48fe4d62 | 144 | { |
7793f30e BM |
145 | if ((r0[i] = BN_new()) == NULL) ABORT; |
146 | if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; | |
48fe4d62 | 147 | } |
7793f30e BM |
148 | } |
149 | ||
150 | clck = clock(); | |
151 | for (i = 0; i < 10; i++) | |
152 | { | |
48fe4d62 BM |
153 | for (j = 0; j < 10; j++) |
154 | { | |
652ae06b BM |
155 | if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, |
156 | (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT; | |
48fe4d62 | 157 | } |
48fe4d62 | 158 | } |
48fe4d62 BM |
159 | clck = clock() - clck; |
160 | ||
652ae06b BM |
161 | fprintf(stdout, "\n"); |
162 | ||
48fe4d62 BM |
163 | #ifdef CLOCKS_PER_SEC |
164 | /* "To determine the time in seconds, the value returned | |
165 | * by the clock function should be divided by the value | |
166 | * of the macro CLOCKS_PER_SEC." | |
167 | * -- ISO/IEC 9899 */ | |
168 | # define UNIT "s" | |
169 | #else | |
170 | /* "`CLOCKS_PER_SEC' undeclared (first use this function)" | |
171 | * -- cc on NeXTstep/OpenStep */ | |
172 | # define UNIT "units" | |
173 | # define CLOCKS_PER_SEC 1 | |
174 | #endif | |
175 | ||
652ae06b BM |
176 | if (type == TIMING_BASE_PT) { |
177 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
178 | "base point multiplications", (double)clck/CLOCKS_PER_SEC); | |
179 | } else if (type == TIMING_RAND_PT) { | |
180 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
181 | "random point multiplications", (double)clck/CLOCKS_PER_SEC); | |
182 | } else if (type == TIMING_SIMUL) { | |
183 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, | |
184 | "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC); | |
185 | } | |
48fe4d62 BM |
186 | fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); |
187 | ||
188 | EC_POINT_free(P); | |
189 | BN_free(s); | |
7793f30e BM |
190 | for (i = 0; i < 10; i++) |
191 | { | |
192 | BN_free(r[i]); | |
652ae06b | 193 | if (type != TIMING_BASE_PT) BN_free(r0[i]); |
7793f30e | 194 | } |
48fe4d62 | 195 | } |
65ee74fb | 196 | #endif |
48fe4d62 | 197 | |
7793f30e | 198 | void prime_field_tests() |
adfe54b7 | 199 | { |
bb62a8b0 BM |
200 | BN_CTX *ctx = NULL; |
201 | BIGNUM *p, *a, *b; | |
adfe54b7 | 202 | EC_GROUP *group; |
652ae06b | 203 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; |
bb62a8b0 BM |
204 | EC_POINT *P, *Q, *R; |
205 | BIGNUM *x, *y, *z; | |
206 | unsigned char buf[100]; | |
207 | size_t i, len; | |
63c43dcc | 208 | int k; |
bb62a8b0 | 209 | |
48fe4d62 | 210 | #if 1 /* optional */ |
bb62a8b0 BM |
211 | ctx = BN_CTX_new(); |
212 | if (!ctx) ABORT; | |
213 | #endif | |
214 | ||
215 | p = BN_new(); | |
216 | a = BN_new(); | |
217 | b = BN_new(); | |
218 | if (!p || !a || !b) ABORT; | |
219 | ||
42909e39 BM |
220 | if (!BN_hex2bn(&p, "17")) ABORT; |
221 | if (!BN_hex2bn(&a, "1")) ABORT; | |
222 | if (!BN_hex2bn(&b, "1")) ABORT; | |
bb62a8b0 | 223 | |
48fe4d62 BM |
224 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp |
225 | * so that the library gets to choose the EC_METHOD */ | |
adfe54b7 | 226 | if (!group) ABORT; |
48fe4d62 | 227 | |
156e8557 | 228 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
48fe4d62 BM |
229 | |
230 | { | |
231 | EC_GROUP *tmp; | |
232 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
233 | if (!tmp) ABORT; | |
8215e7a9 | 234 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
48fe4d62 BM |
235 | EC_GROUP_free(group); |
236 | group = tmp; | |
237 | } | |
238 | ||
156e8557 | 239 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; |
bb62a8b0 BM |
240 | |
241 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); | |
242 | BN_print_fp(stdout, p); | |
243 | fprintf(stdout, ")\n a = 0x"); | |
244 | BN_print_fp(stdout, a); | |
245 | fprintf(stdout, "\n b = 0x"); | |
246 | BN_print_fp(stdout, b); | |
247 | fprintf(stdout, "\n"); | |
248 | ||
249 | P = EC_POINT_new(group); | |
250 | Q = EC_POINT_new(group); | |
251 | R = EC_POINT_new(group); | |
252 | if (!P || !Q || !R) ABORT; | |
253 | ||
254 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; | |
255 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
256 | ||
257 | buf[0] = 0; | |
258 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; | |
259 | ||
260 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
261 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
262 | ||
263 | x = BN_new(); | |
264 | y = BN_new(); | |
265 | z = BN_new(); | |
266 | if (!x || !y || !z) ABORT; | |
267 | ||
42909e39 | 268 | if (!BN_hex2bn(&x, "D")) ABORT; |
bb62a8b0 BM |
269 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; |
270 | if (!EC_POINT_is_on_curve(group, Q, ctx)) | |
271 | { | |
156e8557 BM |
272 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; |
273 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
bb62a8b0 | 274 | BN_print_fp(stderr, x); |
156e8557 BM |
275 | fprintf(stderr, ", y = 0x"); |
276 | BN_print_fp(stderr, y); | |
bb62a8b0 BM |
277 | fprintf(stderr, "\n"); |
278 | ABORT; | |
279 | } | |
280 | ||
281 | fprintf(stdout, "A cyclic subgroup:\n"); | |
63c43dcc | 282 | k = 100; |
bb62a8b0 BM |
283 | do |
284 | { | |
63c43dcc BM |
285 | if (k-- == 0) ABORT; |
286 | ||
bb62a8b0 BM |
287 | if (EC_POINT_is_at_infinity(group, P)) |
288 | fprintf(stdout, " point at infinity\n"); | |
289 | else | |
290 | { | |
291 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
292 | ||
293 | fprintf(stdout, " x = 0x"); | |
294 | BN_print_fp(stdout, x); | |
295 | fprintf(stdout, ", y = 0x"); | |
296 | BN_print_fp(stdout, y); | |
297 | fprintf(stdout, "\n"); | |
298 | } | |
299 | ||
300 | if (!EC_POINT_copy(R, P)) ABORT; | |
301 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
302 | ||
303 | #if 0 /* optional */ | |
48fe4d62 BM |
304 | { |
305 | EC_POINT *points[3]; | |
306 | ||
307 | points[0] = R; | |
308 | points[1] = Q; | |
309 | points[2] = P; | |
310 | if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; | |
311 | } | |
adfe54b7 | 312 | #endif |
48fe4d62 | 313 | |
bb62a8b0 BM |
314 | } |
315 | while (!EC_POINT_is_at_infinity(group, P)); | |
316 | ||
317 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; | |
318 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
adfe54b7 | 319 | |
bb62a8b0 BM |
320 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
321 | if (len == 0) ABORT; | |
322 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
323 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
324 | fprintf(stdout, "Generator as octect string, compressed form:\n "); | |
325 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
326 | ||
327 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); | |
328 | if (len == 0) ABORT; | |
329 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
330 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
331 | fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n "); | |
332 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
333 | ||
334 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); | |
335 | if (len == 0) ABORT; | |
336 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
337 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
338 | fprintf(stdout, "\nGenerator as octect string, hybrid form:\n "); | |
339 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
340 | ||
341 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; | |
342 | fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
343 | BN_print_fp(stdout, x); | |
344 | fprintf(stdout, ", Y = 0x"); | |
345 | BN_print_fp(stdout, y); | |
346 | fprintf(stdout, ", Z = 0x"); | |
347 | BN_print_fp(stdout, z); | |
348 | fprintf(stdout, "\n"); | |
349 | ||
350 | if (!EC_POINT_invert(group, P, ctx)) ABORT; | |
351 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
352 | ||
48fe4d62 | 353 | |
652ae06b BM |
354 | /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) |
355 | * -- not a NIST curve, but commonly used */ | |
356 | ||
357 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; | |
358 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; | |
359 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; | |
360 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; | |
361 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
362 | ||
363 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; | |
364 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; | |
365 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
366 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
367 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; | |
368 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
369 | ||
370 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
371 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
372 | BN_print_fp(stdout, x); | |
373 | fprintf(stdout, "\n y = 0x"); | |
374 | BN_print_fp(stdout, y); | |
375 | fprintf(stdout, "\n"); | |
376 | /* G_y value taken from the standard: */ | |
377 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; | |
378 | if (0 != BN_cmp(y, z)) ABORT; | |
379 | ||
380 | fprintf(stdout, "verify degree ..."); | |
381 | if (EC_GROUP_get_degree(group) != 160) ABORT; | |
382 | fprintf(stdout, " ok\n"); | |
383 | ||
384 | fprintf(stdout, "verify group order ..."); | |
385 | fflush(stdout); | |
386 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; | |
387 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; | |
388 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
389 | fprintf(stdout, "."); | |
390 | fflush(stdout); | |
391 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; | |
392 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; | |
393 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
394 | fprintf(stdout, " ok\n"); | |
395 | ||
396 | if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
397 | if (!EC_GROUP_copy(P_160, group)) ABORT; | |
398 | ||
399 | ||
48fe4d62 BM |
400 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ |
401 | ||
402 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 403 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
404 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; |
405 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; | |
406 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
407 | ||
408 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; | |
409 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
410 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
411 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; | |
412 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
413 | ||
414 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
415 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
416 | BN_print_fp(stdout, x); | |
417 | fprintf(stdout, "\n y = 0x"); | |
418 | BN_print_fp(stdout, y); | |
419 | fprintf(stdout, "\n"); | |
420 | /* G_y value taken from the standard: */ | |
421 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; | |
422 | if (0 != BN_cmp(y, z)) ABORT; | |
7793f30e BM |
423 | |
424 | fprintf(stdout, "verify degree ..."); | |
425 | if (EC_GROUP_get_degree(group) != 192) ABORT; | |
426 | fprintf(stdout, " ok\n"); | |
48fe4d62 | 427 | |
38374911 | 428 | fprintf(stdout, "verify group order ..."); |
616df356 | 429 | fflush(stdout); |
48fe4d62 | 430 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
38374911 BM |
431 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
432 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
433 | fprintf(stdout, "."); | |
434 | fflush(stdout); | |
194dd046 | 435 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
38374911 | 436 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
48fe4d62 | 437 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
38374911 | 438 | fprintf(stdout, " ok\n"); |
48fe4d62 BM |
439 | |
440 | if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
441 | if (!EC_GROUP_copy(P_192, group)) ABORT; | |
442 | ||
443 | ||
444 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
445 | ||
446 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; | |
e9224c71 | 447 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
448 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; |
449 | if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; | |
450 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
451 | ||
452 | if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; | |
453 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; | |
454 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
455 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; | |
456 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
457 | ||
458 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
459 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
460 | BN_print_fp(stdout, x); | |
461 | fprintf(stdout, "\n y = 0x"); | |
462 | BN_print_fp(stdout, y); | |
463 | fprintf(stdout, "\n"); | |
464 | /* G_y value taken from the standard: */ | |
465 | if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; | |
466 | if (0 != BN_cmp(y, z)) ABORT; | |
467 | ||
7793f30e BM |
468 | fprintf(stdout, "verify degree ..."); |
469 | if (EC_GROUP_get_degree(group) != 224) ABORT; | |
470 | fprintf(stdout, " ok\n"); | |
471 | ||
38374911 | 472 | fprintf(stdout, "verify group order ..."); |
616df356 | 473 | fflush(stdout); |
48fe4d62 | 474 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
38374911 | 475 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
48fe4d62 | 476 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
38374911 BM |
477 | fprintf(stdout, "."); |
478 | fflush(stdout); | |
194dd046 | 479 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
38374911 BM |
480 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
481 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
482 | fprintf(stdout, " ok\n"); | |
483 | ||
48fe4d62 BM |
484 | if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
485 | if (!EC_GROUP_copy(P_224, group)) ABORT; | |
486 | ||
487 | ||
488 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
489 | ||
490 | if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 491 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
492 | if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
493 | if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; | |
494 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
495 | ||
496 | if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; | |
497 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
498 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
499 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
500 | "84F3B9CAC2FC632551")) ABORT; | |
501 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
502 | ||
503 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
504 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
505 | BN_print_fp(stdout, x); | |
506 | fprintf(stdout, "\n y = 0x"); | |
507 | BN_print_fp(stdout, y); | |
508 | fprintf(stdout, "\n"); | |
509 | /* G_y value taken from the standard: */ | |
510 | if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; | |
511 | if (0 != BN_cmp(y, z)) ABORT; | |
512 | ||
7793f30e BM |
513 | fprintf(stdout, "verify degree ..."); |
514 | if (EC_GROUP_get_degree(group) != 256) ABORT; | |
515 | fprintf(stdout, " ok\n"); | |
516 | ||
38374911 | 517 | fprintf(stdout, "verify group order ..."); |
616df356 | 518 | fflush(stdout); |
48fe4d62 | 519 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
38374911 | 520 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
48fe4d62 | 521 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
38374911 BM |
522 | fprintf(stdout, "."); |
523 | fflush(stdout); | |
194dd046 | 524 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
38374911 BM |
525 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
526 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
527 | fprintf(stdout, " ok\n"); | |
528 | ||
48fe4d62 BM |
529 | if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
530 | if (!EC_GROUP_copy(P_256, group)) ABORT; | |
531 | ||
532 | ||
533 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
534 | ||
535 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
536 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; | |
e9224c71 | 537 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
538 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
539 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; | |
540 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
541 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; | |
542 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
543 | ||
544 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
545 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; | |
546 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; | |
547 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
548 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
549 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; | |
550 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
551 | ||
552 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
553 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
554 | BN_print_fp(stdout, x); | |
555 | fprintf(stdout, "\n y = 0x"); | |
556 | BN_print_fp(stdout, y); | |
557 | fprintf(stdout, "\n"); | |
558 | /* G_y value taken from the standard: */ | |
559 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
560 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; | |
561 | if (0 != BN_cmp(y, z)) ABORT; | |
562 | ||
7793f30e BM |
563 | fprintf(stdout, "verify degree ..."); |
564 | if (EC_GROUP_get_degree(group) != 384) ABORT; | |
565 | fprintf(stdout, " ok\n"); | |
566 | ||
38374911 | 567 | fprintf(stdout, "verify group order ..."); |
616df356 | 568 | fflush(stdout); |
48fe4d62 | 569 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
38374911 | 570 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
48fe4d62 | 571 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
38374911 BM |
572 | fprintf(stdout, "."); |
573 | fflush(stdout); | |
194dd046 | 574 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
38374911 BM |
575 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
576 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
577 | fprintf(stdout, " ok\n"); | |
578 | ||
48fe4d62 BM |
579 | if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
580 | if (!EC_GROUP_copy(P_384, group)) ABORT; | |
581 | ||
582 | ||
583 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
584 | ||
585 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
586 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
587 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; | |
e9224c71 | 588 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
48fe4d62 BM |
589 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
590 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
591 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; | |
592 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
593 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
594 | "DF883D2C34F1EF451FD46B503F00")) ABORT; | |
595 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
596 | ||
597 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
598 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
599 | "3C1856A429BF97E7E31C2E5BD66")) ABORT; | |
600 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; | |
601 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
602 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
603 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
604 | "C9B8899C47AEBB6FB71E91386409")) ABORT; | |
605 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; | |
606 | ||
607 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; | |
608 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
609 | BN_print_fp(stdout, x); | |
610 | fprintf(stdout, "\n y = 0x"); | |
611 | BN_print_fp(stdout, y); | |
612 | fprintf(stdout, "\n"); | |
613 | /* G_y value taken from the standard: */ | |
614 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
615 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
616 | "7086A272C24088BE94769FD16650")) ABORT; | |
617 | if (0 != BN_cmp(y, z)) ABORT; | |
618 | ||
7793f30e BM |
619 | fprintf(stdout, "verify degree ..."); |
620 | if (EC_GROUP_get_degree(group) != 521) ABORT; | |
621 | fprintf(stdout, " ok\n"); | |
622 | ||
38374911 | 623 | fprintf(stdout, "verify group order ..."); |
616df356 | 624 | fflush(stdout); |
48fe4d62 | 625 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
38374911 BM |
626 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
627 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; | |
628 | fprintf(stdout, "."); | |
629 | fflush(stdout); | |
194dd046 | 630 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
38374911 | 631 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
48fe4d62 | 632 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
38374911 | 633 | fprintf(stdout, " ok\n"); |
48fe4d62 BM |
634 | |
635 | if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; | |
636 | if (!EC_GROUP_copy(P_521, group)) ABORT; | |
637 | ||
638 | ||
639 | /* more tests using the last curve */ | |
640 | ||
641 | if (!EC_POINT_copy(Q, P)) ABORT; | |
642 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
643 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; | |
644 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
645 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ | |
646 | ||
647 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; | |
648 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; | |
649 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ | |
650 | ||
651 | { | |
19f6c524 BM |
652 | const EC_POINT *points[4]; |
653 | const BIGNUM *scalars[4]; | |
654 | BIGNUM scalar3; | |
48fe4d62 BM |
655 | |
656 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
38374911 BM |
657 | points[0] = Q; |
658 | points[1] = Q; | |
659 | points[2] = Q; | |
19f6c524 | 660 | points[3] = Q; |
48fe4d62 BM |
661 | |
662 | if (!BN_add(y, z, BN_value_one())) ABORT; | |
663 | if (BN_is_odd(y)) ABORT; | |
664 | if (!BN_rshift1(y, y)) ABORT; | |
48fe4d62 BM |
665 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
666 | scalars[1] = y; | |
667 | ||
9c10b2c8 | 668 | fprintf(stdout, "combined multiplication ..."); |
616df356 | 669 | fflush(stdout); |
48fe4d62 BM |
670 | |
671 | /* z is still the group order */ | |
672 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
673 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; | |
674 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
675 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; | |
676 | ||
86a921af BM |
677 | fprintf(stdout, "."); |
678 | fflush(stdout); | |
679 | ||
680 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; | |
752938da | 681 | if (!BN_add(z, z, y)) ABORT; |
ff22e913 | 682 | BN_set_negative(z, 1); |
86a921af | 683 | scalars[0] = y; |
752938da | 684 | scalars[1] = z; /* z = -(order + y) */ |
86a921af BM |
685 | |
686 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
687 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
688 | ||
38374911 BM |
689 | fprintf(stdout, "."); |
690 | fflush(stdout); | |
691 | ||
692 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; | |
693 | if (!BN_add(z, x, y)) ABORT; | |
ff22e913 | 694 | BN_set_negative(z, 1); |
38374911 BM |
695 | scalars[0] = x; |
696 | scalars[1] = y; | |
697 | scalars[2] = z; /* z = -(x+y) */ | |
698 | ||
19f6c524 BM |
699 | BN_init(&scalar3); |
700 | BN_zero(&scalar3); | |
701 | scalars[3] = &scalar3; | |
702 | ||
703 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; | |
38374911 BM |
704 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
705 | ||
86a921af | 706 | fprintf(stdout, " ok\n\n"); |
19f6c524 BM |
707 | |
708 | BN_free(&scalar3); | |
48fe4d62 BM |
709 | } |
710 | ||
711 | ||
1226c472 | 712 | #if 0 |
652ae06b BM |
713 | timings(P_160, TIMING_BASE_PT, ctx); |
714 | timings(P_160, TIMING_RAND_PT, ctx); | |
715 | timings(P_160, TIMING_SIMUL, ctx); | |
716 | timings(P_192, TIMING_BASE_PT, ctx); | |
717 | timings(P_192, TIMING_RAND_PT, ctx); | |
718 | timings(P_192, TIMING_SIMUL, ctx); | |
719 | timings(P_224, TIMING_BASE_PT, ctx); | |
720 | timings(P_224, TIMING_RAND_PT, ctx); | |
721 | timings(P_224, TIMING_SIMUL, ctx); | |
722 | timings(P_256, TIMING_BASE_PT, ctx); | |
723 | timings(P_256, TIMING_RAND_PT, ctx); | |
724 | timings(P_256, TIMING_SIMUL, ctx); | |
725 | timings(P_384, TIMING_BASE_PT, ctx); | |
726 | timings(P_384, TIMING_RAND_PT, ctx); | |
727 | timings(P_384, TIMING_SIMUL, ctx); | |
728 | timings(P_521, TIMING_BASE_PT, ctx); | |
729 | timings(P_521, TIMING_RAND_PT, ctx); | |
730 | timings(P_521, TIMING_SIMUL, ctx); | |
48fe4d62 BM |
731 | #endif |
732 | ||
bb62a8b0 BM |
733 | |
734 | if (ctx) | |
735 | BN_CTX_free(ctx); | |
736 | BN_free(p); BN_free(a); BN_free(b); | |
737 | EC_GROUP_free(group); | |
738 | EC_POINT_free(P); | |
739 | EC_POINT_free(Q); | |
740 | EC_POINT_free(R); | |
741 | BN_free(x); BN_free(y); BN_free(z); | |
742 | ||
652ae06b | 743 | if (P_160) EC_GROUP_free(P_160); |
48fe4d62 BM |
744 | if (P_192) EC_GROUP_free(P_192); |
745 | if (P_224) EC_GROUP_free(P_224); | |
746 | if (P_256) EC_GROUP_free(P_256); | |
747 | if (P_384) EC_GROUP_free(P_384); | |
748 | if (P_521) EC_GROUP_free(P_521); | |
749 | ||
7793f30e BM |
750 | } |
751 | ||
752 | /* Change test based on whether binary point compression is enabled or not. */ | |
753 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
754 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
755 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
756 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ | |
757 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
758 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
759 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
760 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
761 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
762 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
763 | BN_print_fp(stdout, x); \ | |
764 | fprintf(stdout, "\n y = 0x"); \ | |
765 | BN_print_fp(stdout, y); \ | |
766 | fprintf(stdout, "\n"); \ | |
767 | /* G_y value taken from the standard: */ \ | |
768 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
769 | if (0 != BN_cmp(y, z)) ABORT; | |
770 | #else | |
771 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
772 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
773 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
774 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
775 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ | |
776 | if (!BN_hex2bn(&z, _order)) ABORT; \ | |
777 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
778 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
779 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
780 | BN_print_fp(stdout, x); \ | |
781 | fprintf(stdout, "\n y = 0x"); \ | |
782 | BN_print_fp(stdout, y); \ | |
783 | fprintf(stdout, "\n"); | |
784 | #endif | |
785 | ||
786 | #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
787 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
788 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
789 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
790 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
791 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
792 | fprintf(stdout, "verify degree ..."); \ | |
793 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
794 | fprintf(stdout, " ok\n"); \ | |
795 | fprintf(stdout, "verify group order ..."); \ | |
796 | fflush(stdout); \ | |
797 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \ | |
798 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ | |
799 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ | |
800 | fprintf(stdout, "."); \ | |
801 | fflush(stdout); \ | |
802 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \ | |
803 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ | |
804 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ | |
805 | fprintf(stdout, " ok\n"); \ | |
806 | if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ | |
807 | if (!EC_GROUP_copy(_variable, group)) ABORT; | |
808 | ||
809 | void char2_field_tests() | |
810 | { | |
811 | BN_CTX *ctx = NULL; | |
812 | BIGNUM *p, *a, *b; | |
813 | EC_GROUP *group; | |
814 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; | |
815 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; | |
816 | EC_POINT *P, *Q, *R; | |
817 | BIGNUM *x, *y, *z, *cof; | |
818 | unsigned char buf[100]; | |
819 | size_t i, len; | |
820 | int k; | |
821 | ||
822 | #if 1 /* optional */ | |
823 | ctx = BN_CTX_new(); | |
824 | if (!ctx) ABORT; | |
825 | #endif | |
826 | ||
827 | p = BN_new(); | |
828 | a = BN_new(); | |
829 | b = BN_new(); | |
830 | if (!p || !a || !b) ABORT; | |
831 | ||
832 | if (!BN_hex2bn(&p, "13")) ABORT; | |
833 | if (!BN_hex2bn(&a, "3")) ABORT; | |
834 | if (!BN_hex2bn(&b, "1")) ABORT; | |
835 | ||
848c8495 BM |
836 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m |
837 | * so that the library gets to choose the EC_METHOD */ | |
7793f30e BM |
838 | if (!group) ABORT; |
839 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; | |
840 | ||
841 | { | |
842 | EC_GROUP *tmp; | |
843 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
844 | if (!tmp) ABORT; | |
8215e7a9 | 845 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
7793f30e BM |
846 | EC_GROUP_free(group); |
847 | group = tmp; | |
848 | } | |
849 | ||
850 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; | |
851 | ||
852 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
853 | BN_print_fp(stdout, p); | |
854 | fprintf(stdout, ")\n a = 0x"); | |
855 | BN_print_fp(stdout, a); | |
856 | fprintf(stdout, "\n b = 0x"); | |
857 | BN_print_fp(stdout, b); | |
848c8495 | 858 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); |
7793f30e BM |
859 | |
860 | P = EC_POINT_new(group); | |
861 | Q = EC_POINT_new(group); | |
862 | R = EC_POINT_new(group); | |
863 | if (!P || !Q || !R) ABORT; | |
864 | ||
865 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; | |
866 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
867 | ||
868 | buf[0] = 0; | |
869 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; | |
870 | ||
871 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
872 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
873 | ||
874 | x = BN_new(); | |
875 | y = BN_new(); | |
876 | z = BN_new(); | |
877 | cof = BN_new(); | |
878 | if (!x || !y || !z || !cof) ABORT; | |
879 | ||
880 | if (!BN_hex2bn(&x, "6")) ABORT; | |
881 | /* Change test based on whether binary point compression is enabled or not. */ | |
882 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
883 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; | |
884 | #else | |
885 | if (!BN_hex2bn(&y, "8")) ABORT; | |
886 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; | |
887 | #endif | |
888 | if (!EC_POINT_is_on_curve(group, Q, ctx)) | |
889 | { | |
890 | /* Change test based on whether binary point compression is enabled or not. */ | |
891 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
892 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; | |
893 | #endif | |
894 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
895 | BN_print_fp(stderr, x); | |
896 | fprintf(stderr, ", y = 0x"); | |
897 | BN_print_fp(stderr, y); | |
898 | fprintf(stderr, "\n"); | |
899 | ABORT; | |
900 | } | |
901 | ||
902 | fprintf(stdout, "A cyclic subgroup:\n"); | |
903 | k = 100; | |
904 | do | |
905 | { | |
906 | if (k-- == 0) ABORT; | |
907 | ||
908 | if (EC_POINT_is_at_infinity(group, P)) | |
909 | fprintf(stdout, " point at infinity\n"); | |
910 | else | |
911 | { | |
912 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; | |
913 | ||
914 | fprintf(stdout, " x = 0x"); | |
915 | BN_print_fp(stdout, x); | |
916 | fprintf(stdout, ", y = 0x"); | |
917 | BN_print_fp(stdout, y); | |
918 | fprintf(stdout, "\n"); | |
919 | } | |
920 | ||
921 | if (!EC_POINT_copy(R, P)) ABORT; | |
922 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; | |
923 | } | |
924 | while (!EC_POINT_is_at_infinity(group, P)); | |
925 | ||
926 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; | |
927 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
928 | ||
929 | /* Change test based on whether binary point compression is enabled or not. */ | |
930 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
931 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); | |
932 | if (len == 0) ABORT; | |
933 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
934 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
935 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
936 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
937 | #endif | |
938 | ||
939 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); | |
940 | if (len == 0) ABORT; | |
941 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
942 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
943 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
944 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
945 | ||
946 | /* Change test based on whether binary point compression is enabled or not. */ | |
947 | #ifdef OPENSSL_EC_BIN_PT_COMP | |
948 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); | |
949 | if (len == 0) ABORT; | |
950 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; | |
951 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; | |
952 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
953 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); | |
954 | #endif | |
955 | ||
956 | fprintf(stdout, "\n"); | |
957 | ||
958 | if (!EC_POINT_invert(group, P, ctx)) ABORT; | |
959 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
960 | ||
961 | ||
962 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
963 | CHAR2_CURVE_TEST | |
964 | ( | |
965 | "NIST curve K-163", | |
966 | "0800000000000000000000000000000000000000C9", | |
967 | "1", | |
968 | "1", | |
969 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
970 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
971 | 1, | |
972 | "04000000000000000000020108A2E0CC0D99F8A5EF", | |
973 | "2", | |
974 | 163, | |
975 | C2_K163 | |
976 | ); | |
977 | ||
978 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
979 | CHAR2_CURVE_TEST | |
980 | ( | |
981 | "NIST curve B-163", | |
982 | "0800000000000000000000000000000000000000C9", | |
983 | "1", | |
984 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
985 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
986 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
987 | 1, | |
988 | "040000000000000000000292FE77E70C12A4234C33", | |
989 | "2", | |
990 | 163, | |
991 | C2_B163 | |
992 | ); | |
993 | ||
994 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
995 | CHAR2_CURVE_TEST | |
996 | ( | |
997 | "NIST curve K-233", | |
998 | "020000000000000000000000000000000000000004000000000000000001", | |
999 | "0", | |
1000 | "1", | |
1001 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
1002 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
1003 | 0, | |
1004 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
1005 | "4", | |
1006 | 233, | |
1007 | C2_K233 | |
1008 | ); | |
1009 | ||
1010 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
1011 | CHAR2_CURVE_TEST | |
1012 | ( | |
1013 | "NIST curve B-233", | |
1014 | "020000000000000000000000000000000000000004000000000000000001", | |
1015 | "000000000000000000000000000000000000000000000000000000000001", | |
1016 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
1017 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
1018 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
1019 | 1, | |
1020 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
1021 | "2", | |
1022 | 233, | |
1023 | C2_B233 | |
1024 | ); | |
1025 | ||
1026 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
1027 | CHAR2_CURVE_TEST | |
1028 | ( | |
1029 | "NIST curve K-283", | |
1030 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1031 | "0", | |
1032 | "1", | |
1033 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
1034 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
1035 | 0, | |
1036 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
1037 | "4", | |
1038 | 283, | |
1039 | C2_K283 | |
1040 | ); | |
1041 | ||
1042 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
1043 | CHAR2_CURVE_TEST | |
1044 | ( | |
1045 | "NIST curve B-283", | |
1046 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
1047 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
1048 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
1049 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
1050 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
1051 | 1, | |
1052 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
1053 | "2", | |
1054 | 283, | |
1055 | C2_B283 | |
1056 | ); | |
1057 | ||
1058 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
1059 | CHAR2_CURVE_TEST | |
1060 | ( | |
1061 | "NIST curve K-409", | |
1062 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1063 | "0", | |
1064 | "1", | |
1065 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
1066 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
1067 | 1, | |
1068 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
1069 | "4", | |
1070 | 409, | |
1071 | C2_K409 | |
1072 | ); | |
1073 | ||
1074 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
1075 | CHAR2_CURVE_TEST | |
1076 | ( | |
1077 | "NIST curve B-409", | |
1078 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
1079 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1080 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
1081 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
1082 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
1083 | 1, | |
1084 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
1085 | "2", | |
1086 | 409, | |
1087 | C2_B409 | |
1088 | ); | |
1089 | ||
1090 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
1091 | CHAR2_CURVE_TEST | |
1092 | ( | |
1093 | "NIST curve K-571", | |
1094 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1095 | "0", | |
1096 | "1", | |
1097 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
1098 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
1099 | 0, | |
1100 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
1101 | "4", | |
1102 | 571, | |
1103 | C2_K571 | |
1104 | ); | |
1105 | ||
1106 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
1107 | CHAR2_CURVE_TEST | |
1108 | ( | |
1109 | "NIST curve B-571", | |
1110 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
1111 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
1112 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
1113 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
1114 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
1115 | 1, | |
1116 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
1117 | "2", | |
1118 | 571, | |
1119 | C2_B571 | |
1120 | ); | |
1121 | ||
1122 | /* more tests using the last curve */ | |
1123 | ||
1124 | if (!EC_POINT_copy(Q, P)) ABORT; | |
1125 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
1126 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; | |
1127 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; | |
1128 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ | |
1129 | ||
1130 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; | |
1131 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; | |
1132 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ | |
1133 | ||
1134 | { | |
1135 | const EC_POINT *points[3]; | |
1136 | const BIGNUM *scalars[3]; | |
1137 | ||
1138 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; | |
1139 | points[0] = Q; | |
1140 | points[1] = Q; | |
1141 | points[2] = Q; | |
1142 | ||
1143 | if (!BN_add(y, z, BN_value_one())) ABORT; | |
1144 | if (BN_is_odd(y)) ABORT; | |
1145 | if (!BN_rshift1(y, y)) ABORT; | |
1146 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
1147 | scalars[1] = y; | |
1148 | ||
1149 | fprintf(stdout, "combined multiplication ..."); | |
1150 | fflush(stdout); | |
1151 | ||
1152 | /* z is still the group order */ | |
1153 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
1154 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; | |
1155 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; | |
1156 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; | |
1157 | ||
1158 | fprintf(stdout, "."); | |
1159 | fflush(stdout); | |
1160 | ||
1161 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; | |
1162 | if (!BN_add(z, z, y)) ABORT; | |
ff22e913 | 1163 | BN_set_negative(z, 1); |
7793f30e BM |
1164 | scalars[0] = y; |
1165 | scalars[1] = z; /* z = -(order + y) */ | |
1166 | ||
1167 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; | |
1168 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
1169 | ||
1170 | fprintf(stdout, "."); | |
1171 | fflush(stdout); | |
1172 | ||
1173 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; | |
1174 | if (!BN_add(z, x, y)) ABORT; | |
ff22e913 | 1175 | BN_set_negative(z, 1); |
7793f30e BM |
1176 | scalars[0] = x; |
1177 | scalars[1] = y; | |
1178 | scalars[2] = z; /* z = -(x+y) */ | |
1179 | ||
1180 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; | |
1181 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; | |
1182 | ||
1183 | fprintf(stdout, " ok\n\n"); | |
1184 | } | |
1185 | ||
1186 | ||
1187 | #if 0 | |
652ae06b BM |
1188 | timings(C2_K163, TIMING_BASE_PT, ctx); |
1189 | timings(C2_K163, TIMING_RAND_PT, ctx); | |
1190 | timings(C2_K163, TIMING_SIMUL, ctx); | |
1191 | timings(C2_B163, TIMING_BASE_PT, ctx); | |
1192 | timings(C2_B163, TIMING_RAND_PT, ctx); | |
1193 | timings(C2_B163, TIMING_SIMUL, ctx); | |
1194 | timings(C2_K233, TIMING_BASE_PT, ctx); | |
1195 | timings(C2_K233, TIMING_RAND_PT, ctx); | |
1196 | timings(C2_K233, TIMING_SIMUL, ctx); | |
1197 | timings(C2_B233, TIMING_BASE_PT, ctx); | |
1198 | timings(C2_B233, TIMING_RAND_PT, ctx); | |
1199 | timings(C2_B233, TIMING_SIMUL, ctx); | |
1200 | timings(C2_K283, TIMING_BASE_PT, ctx); | |
1201 | timings(C2_K283, TIMING_RAND_PT, ctx); | |
1202 | timings(C2_K283, TIMING_SIMUL, ctx); | |
1203 | timings(C2_B283, TIMING_BASE_PT, ctx); | |
1204 | timings(C2_B283, TIMING_RAND_PT, ctx); | |
1205 | timings(C2_B283, TIMING_SIMUL, ctx); | |
1206 | timings(C2_K409, TIMING_BASE_PT, ctx); | |
1207 | timings(C2_K409, TIMING_RAND_PT, ctx); | |
1208 | timings(C2_K409, TIMING_SIMUL, ctx); | |
1209 | timings(C2_B409, TIMING_BASE_PT, ctx); | |
1210 | timings(C2_B409, TIMING_RAND_PT, ctx); | |
1211 | timings(C2_B409, TIMING_SIMUL, ctx); | |
1212 | timings(C2_K571, TIMING_BASE_PT, ctx); | |
1213 | timings(C2_K571, TIMING_RAND_PT, ctx); | |
1214 | timings(C2_K571, TIMING_SIMUL, ctx); | |
1215 | timings(C2_B571, TIMING_BASE_PT, ctx); | |
1216 | timings(C2_B571, TIMING_RAND_PT, ctx); | |
1217 | timings(C2_B571, TIMING_SIMUL, ctx); | |
7793f30e BM |
1218 | #endif |
1219 | ||
1220 | ||
1221 | if (ctx) | |
1222 | BN_CTX_free(ctx); | |
1223 | BN_free(p); BN_free(a); BN_free(b); | |
1224 | EC_GROUP_free(group); | |
1225 | EC_POINT_free(P); | |
1226 | EC_POINT_free(Q); | |
1227 | EC_POINT_free(R); | |
1228 | BN_free(x); BN_free(y); BN_free(z); BN_free(cof); | |
1229 | ||
1230 | if (C2_K163) EC_GROUP_free(C2_K163); | |
1231 | if (C2_B163) EC_GROUP_free(C2_B163); | |
1232 | if (C2_K233) EC_GROUP_free(C2_K233); | |
1233 | if (C2_B233) EC_GROUP_free(C2_B233); | |
1234 | if (C2_K283) EC_GROUP_free(C2_K283); | |
1235 | if (C2_B283) EC_GROUP_free(C2_B283); | |
1236 | if (C2_K409) EC_GROUP_free(C2_K409); | |
1237 | if (C2_B409) EC_GROUP_free(C2_B409); | |
1238 | if (C2_K571) EC_GROUP_free(C2_K571); | |
1239 | if (C2_B571) EC_GROUP_free(C2_B571); | |
1240 | ||
1241 | } | |
1242 | ||
d742bd88 BM |
1243 | void internal_curve_test(void) |
1244 | { | |
1245 | EC_builtin_curve *curves = NULL; | |
1246 | size_t crv_len = 0, n = 0; | |
1247 | int ok = 1; | |
1248 | ||
1249 | crv_len = EC_get_builtin_curves(NULL, 0); | |
1250 | ||
1251 | curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); | |
1252 | ||
1253 | if (curves == NULL) | |
1254 | return; | |
1255 | ||
1256 | if (!EC_get_builtin_curves(curves, crv_len)) | |
1257 | { | |
1258 | OPENSSL_free(curves); | |
1259 | return; | |
1260 | } | |
1261 | ||
1262 | fprintf(stdout, "testing internal curves: "); | |
1263 | ||
1264 | for (n = 0; n < crv_len; n++) | |
1265 | { | |
1266 | EC_GROUP *group = NULL; | |
1267 | int nid = curves[n].nid; | |
8b15c740 | 1268 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) |
d742bd88 BM |
1269 | { |
1270 | ok = 0; | |
8b15c740 | 1271 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" |
d742bd88 BM |
1272 | " curve %s\n", OBJ_nid2sn(nid)); |
1273 | /* try next curve */ | |
1274 | continue; | |
1275 | } | |
1276 | if (!EC_GROUP_check(group, NULL)) | |
1277 | { | |
1278 | ok = 0; | |
1279 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
1280 | " curve %s\n", OBJ_nid2sn(nid)); | |
1281 | EC_GROUP_free(group); | |
1282 | /* try the next curve */ | |
1283 | continue; | |
1284 | } | |
1285 | fprintf(stdout, "."); | |
1286 | fflush(stdout); | |
1287 | EC_GROUP_free(group); | |
1288 | } | |
1289 | if (ok) | |
1290 | fprintf(stdout, " ok\n"); | |
1291 | else | |
1292 | fprintf(stdout, " failed\n"); | |
1293 | OPENSSL_free(curves); | |
1294 | return; | |
1295 | } | |
1296 | ||
7793f30e BM |
1297 | static const char rnd_seed[] = "string to make the random number generator think it has entropy"; |
1298 | ||
1299 | int main(int argc, char *argv[]) | |
1300 | { | |
1301 | ||
1302 | /* enable memory leak checking unless explicitly disabled */ | |
1303 | if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) | |
1304 | { | |
1305 | CRYPTO_malloc_debug_init(); | |
1306 | CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); | |
1307 | } | |
1308 | else | |
1309 | { | |
1310 | /* OPENSSL_DEBUG_MEMORY=off */ | |
1311 | CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); | |
1312 | } | |
1313 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); | |
1314 | ERR_load_crypto_strings(); | |
1315 | ||
1316 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
1317 | ||
1318 | prime_field_tests(); | |
848c8495 | 1319 | puts(""); |
7793f30e | 1320 | char2_field_tests(); |
d742bd88 BM |
1321 | /* test the internal curves */ |
1322 | internal_curve_test(); | |
7793f30e | 1323 | |
0b13e9f0 | 1324 | #ifndef OPENSSL_NO_ENGINE |
b8e2f83a | 1325 | ENGINE_cleanup(); |
0b13e9f0 | 1326 | #endif |
79aa04ef | 1327 | CRYPTO_cleanup_all_ex_data(); |
bb62a8b0 | 1328 | ERR_free_strings(); |
f7ccba3e | 1329 | ERR_remove_thread_state(NULL); |
bb62a8b0 BM |
1330 | CRYPTO_mem_leaks_fp(stderr); |
1331 | ||
adfe54b7 BM |
1332 | return 0; |
1333 | } | |
bb62a8b0 | 1334 | #endif |