projects / thirdparty / openssl.git / blame
| Commit | Line | Data |
|---|---|---|
| 35b73a1f BM |
1 | /* |
| 2 | * Originally written by Bodo Moeller for the OpenSSL project. | |
| 3 | */ | |
| 62763f68 BM |
4 | /* ==================================================================== |
| 5 | * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. | |
| 6 | * | |
| 7 | * Redistribution and use in source and binary forms, with or without | |
| 8 | * modification, are permitted provided that the following conditions | |
| 9 | * are met: | |
| 10 | * | |
| 11 | * 1. Redistributions of source code must retain the above copyright | |
| 0f113f3e | 12 | * notice, this list of conditions and the following disclaimer. |
| 62763f68 BM |
13 | * |
| 14 | * 2. Redistributions in binary form must reproduce the above copyright | |
| 15 | * notice, this list of conditions and the following disclaimer in | |
| 16 | * the documentation and/or other materials provided with the | |
| 17 | * distribution. | |
| 18 | * | |
| 19 | * 3. All advertising materials mentioning features or use of this | |
| 20 | * software must display the following acknowledgment: | |
| 21 | * "This product includes software developed by the OpenSSL Project | |
| 22 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
| 23 | * | |
| 24 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
| 25 | * endorse or promote products derived from this software without | |
| 26 | * prior written permission. For written permission, please contact | |
| 27 | * openssl-core@openssl.org. | |
| 28 | * | |
| 29 | * 5. Products derived from this software may not be called "OpenSSL" | |
| 30 | * nor may "OpenSSL" appear in their names without prior written | |
| 31 | * permission of the OpenSSL Project. | |
| 32 | * | |
| 33 | * 6. Redistributions of any form whatsoever must retain the following | |
| 34 | * acknowledgment: | |
| 35 | * "This product includes software developed by the OpenSSL Project | |
| 36 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
| 37 | * | |
| 38 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
| 39 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
| 40 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
| 41 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
| 42 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
| 43 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
| 44 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
| 45 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
| 46 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
| 47 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
| 48 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
| 49 | * OF THE POSSIBILITY OF SUCH DAMAGE. | |
| 50 | * ==================================================================== | |
| 51 | * | |
| 52 | * This product includes cryptographic software written by Eric Young | |
| 53 | * (eay@cryptsoft.com). This product includes software written by Tim | |
| 54 | * Hudson (tjh@cryptsoft.com). | |
| 55 | * | |
| 56 | */ | |
| 7793f30e BM |
57 | /* ==================================================================== |
| 58 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | |
| 59 | * | |
| 0f113f3e | 60 | * Portions of the attached software ("Contribution") are developed by |
| 7793f30e BM |
61 | * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. |
| 62 | * | |
| 63 | * The Contribution is licensed pursuant to the OpenSSL open source | |
| 64 | * license provided above. | |
| 65 | * | |
| 0f113f3e | 66 | * The elliptic curve binary polynomial software is originally written by |
| 7793f30e BM |
67 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. |
| 68 | * | |
| 69 | */ | |
| 62763f68 | 70 | |
| adfe54b7 BM |
71 | #include <stdio.h> |
| 72 | #include <stdlib.h> | |
| 0bf23d9b | 73 | #ifdef FLAT_INC |
| 0f113f3e | 74 | # include "e_os.h" |
| 0bf23d9b | 75 | #else |
| 0f113f3e | 76 | # include "../e_os.h" |
| 0bf23d9b | 77 | #endif |
| 413a4a04 | 78 | #include <string.h> |
| 48fe4d62 | 79 | #include <time.h> |
| adfe54b7 | 80 | |
| bb62a8b0 | 81 | #ifdef OPENSSL_NO_EC |
| 0f113f3e MC |
82 | int main(int argc, char *argv[]) |
| 83 | { | |
| 84 | puts("Elliptic curves are disabled."); | |
| 85 | return 0; | |
| 86 | } | |
| bb62a8b0 BM |
87 | #else |
| 88 | ||
| 0f113f3e MC |
89 | # include <openssl/ec.h> |
| 90 | # ifndef OPENSSL_NO_ENGINE | |
| 91 | # include <openssl/engine.h> | |
| 92 | # endif | |
| 93 | # include <openssl/err.h> | |
| 94 | # include <openssl/obj_mac.h> | |
| 95 | # include <openssl/objects.h> | |
| 96 | # include <openssl/rand.h> | |
| 97 | # include <openssl/bn.h> | |
| 98 | # include <openssl/opensslconf.h> | |
| 99 | ||
| 100 | # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) | |
| 0491e058 | 101 | /* suppress "too big too optimize" warning */ |
| 0f113f3e MC |
102 | # pragma warning(disable:4959) |
| 103 | # endif | |
| 104 | ||
| 105 | # define ABORT do { \ | |
| 106 | fflush(stdout); \ | |
| 107 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ | |
| 108 | ERR_print_errors_fp(stderr); \ | |
| 109 | EXIT(1); \ | |
| adfe54b7 BM |
110 | } while (0) |
| 111 | ||
| 0f113f3e MC |
112 | # define TIMING_BASE_PT 0 |
| 113 | # define TIMING_RAND_PT 1 | |
| 114 | # define TIMING_SIMUL 2 | |
| 652ae06b | 115 | |
| 04daec86 BM |
116 | /* test multiplication with group order, long and negative scalars */ |
| 117 | static void group_order_tests(EC_GROUP *group) | |
| 0f113f3e MC |
118 | { |
| 119 | BIGNUM *n1, *n2, *order; | |
| 120 | EC_POINT *P = EC_POINT_new(group); | |
| 121 | EC_POINT *Q = EC_POINT_new(group); | |
| 50e34aab AP |
122 | EC_POINT *R = EC_POINT_new(group); |
| 123 | EC_POINT *S = EC_POINT_new(group); | |
| 0f113f3e MC |
124 | BN_CTX *ctx = BN_CTX_new(); |
| 125 | int i; | |
| 126 | ||
| 127 | n1 = BN_new(); | |
| 128 | n2 = BN_new(); | |
| 129 | order = BN_new(); | |
| 130 | fprintf(stdout, "verify group order ..."); | |
| 131 | fflush(stdout); | |
| 132 | if (!EC_GROUP_get_order(group, order, ctx)) | |
| 133 | ABORT; | |
| 134 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
| 135 | ABORT; | |
| 136 | if (!EC_POINT_is_at_infinity(group, Q)) | |
| 137 | ABORT; | |
| 138 | fprintf(stdout, "."); | |
| 139 | fflush(stdout); | |
| 140 | if (!EC_GROUP_precompute_mult(group, ctx)) | |
| 141 | ABORT; | |
| 142 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
| 143 | ABORT; | |
| 144 | if (!EC_POINT_is_at_infinity(group, Q)) | |
| 145 | ABORT; | |
| 146 | fprintf(stdout, " ok\n"); | |
| 147 | fprintf(stdout, "long/negative scalar tests "); | |
| 148 | for (i = 1; i <= 2; i++) { | |
| 149 | const BIGNUM *scalars[6]; | |
| 150 | const EC_POINT *points[6]; | |
| 151 | ||
| 152 | fprintf(stdout, i == 1 ? | |
| 153 | "allowing precomputation ... " : | |
| 154 | "without precomputation ... "); | |
| 155 | if (!BN_set_word(n1, i)) | |
| 156 | ABORT; | |
| 157 | /* | |
| 158 | * If i == 1, P will be the predefined generator for which | |
| 159 | * EC_GROUP_precompute_mult has set up precomputation. | |
| 160 | */ | |
| 161 | if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) | |
| 162 | ABORT; | |
| 163 | ||
| 164 | if (!BN_one(n1)) | |
| 165 | ABORT; | |
| 166 | /* n1 = 1 - order */ | |
| 167 | if (!BN_sub(n1, n1, order)) | |
| 168 | ABORT; | |
| 169 | if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) | |
| 170 | ABORT; | |
| 171 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
| 172 | ABORT; | |
| 173 | ||
| 174 | /* n2 = 1 + order */ | |
| 175 | if (!BN_add(n2, order, BN_value_one())) | |
| 176 | ABORT; | |
| 177 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
| 178 | ABORT; | |
| 179 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
| 180 | ABORT; | |
| 181 | ||
| 182 | /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ | |
| 183 | if (!BN_mul(n2, n1, n2, ctx)) | |
| 184 | ABORT; | |
| 185 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
| 186 | ABORT; | |
| 187 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) | |
| 188 | ABORT; | |
| 189 | ||
| 190 | /* n2 = order^2 - 1 */ | |
| 191 | BN_set_negative(n2, 0); | |
| 192 | if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
| 193 | ABORT; | |
| 194 | /* Add P to verify the result. */ | |
| 195 | if (!EC_POINT_add(group, Q, Q, P, ctx)) | |
| 196 | ABORT; | |
| 197 | if (!EC_POINT_is_at_infinity(group, Q)) | |
| 198 | ABORT; | |
| 199 | ||
| 200 | /* Exercise EC_POINTs_mul, including corner cases. */ | |
| 201 | if (EC_POINT_is_at_infinity(group, P)) | |
| 202 | ABORT; | |
| 50e34aab AP |
203 | |
| 204 | scalars[0] = scalars[1] = BN_value_one(); | |
| 205 | points[0] = points[1] = P; | |
| 206 | ||
| 207 | if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) | |
| 208 | ABORT; | |
| 209 | if (!EC_POINT_dbl(group, S, points[0], ctx)) | |
| 210 | ABORT; | |
| 211 | if (0 != EC_POINT_cmp(group, R, S, ctx)) | |
| 212 | ABORT; | |
| 213 | ||
| 0f113f3e MC |
214 | scalars[0] = n1; |
| 215 | points[0] = Q; /* => infinity */ | |
| 216 | scalars[1] = n2; | |
| 217 | points[1] = P; /* => -P */ | |
| 218 | scalars[2] = n1; | |
| 219 | points[2] = Q; /* => infinity */ | |
| 220 | scalars[3] = n2; | |
| 221 | points[3] = Q; /* => infinity */ | |
| 222 | scalars[4] = n1; | |
| 223 | points[4] = P; /* => P */ | |
| 224 | scalars[5] = n2; | |
| 225 | points[5] = Q; /* => infinity */ | |
| 226 | if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) | |
| 227 | ABORT; | |
| 228 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 229 | ABORT; | |
| 230 | } | |
| 231 | fprintf(stdout, "ok\n"); | |
| 232 | ||
| 233 | EC_POINT_free(P); | |
| 234 | EC_POINT_free(Q); | |
| 50e34aab AP |
235 | EC_POINT_free(R); |
| 236 | EC_POINT_free(S); | |
| 0f113f3e MC |
237 | BN_free(n1); |
| 238 | BN_free(n2); | |
| 239 | BN_free(order); | |
| 240 | BN_CTX_free(ctx); | |
| 241 | } | |
| 04daec86 | 242 | |
| c13d7c02 | 243 | static void prime_field_tests(void) |
| 0f113f3e MC |
244 | { |
| 245 | BN_CTX *ctx = NULL; | |
| 246 | BIGNUM *p, *a, *b; | |
| 247 | EC_GROUP *group; | |
| 248 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = | |
| 249 | NULL, *P_384 = NULL, *P_521 = NULL; | |
| 250 | EC_POINT *P, *Q, *R; | |
| 251 | BIGNUM *x, *y, *z; | |
| 252 | unsigned char buf[100]; | |
| 253 | size_t i, len; | |
| 254 | int k; | |
| 255 | ||
| 0f113f3e MC |
256 | ctx = BN_CTX_new(); |
| 257 | if (!ctx) | |
| 258 | ABORT; | |
| 0f113f3e MC |
259 | |
| 260 | p = BN_new(); | |
| 261 | a = BN_new(); | |
| 262 | b = BN_new(); | |
| 263 | if (!p || !a || !b) | |
| 264 | ABORT; | |
| 265 | ||
| 266 | if (!BN_hex2bn(&p, "17")) | |
| 267 | ABORT; | |
| 268 | if (!BN_hex2bn(&a, "1")) | |
| 269 | ABORT; | |
| 270 | if (!BN_hex2bn(&b, "1")) | |
| 271 | ABORT; | |
| 272 | ||
| 273 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use | |
| 274 | * EC_GROUP_new_curve_GFp so | |
| 275 | * that the library gets to | |
| 276 | * choose the EC_METHOD */ | |
| 277 | if (!group) | |
| 278 | ABORT; | |
| 279 | ||
| 280 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 281 | ABORT; | |
| 282 | ||
| 283 | { | |
| 284 | EC_GROUP *tmp; | |
| 285 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
| 286 | if (!tmp) | |
| 287 | ABORT; | |
| 288 | if (!EC_GROUP_copy(tmp, group)) | |
| 289 | ABORT; | |
| 290 | EC_GROUP_free(group); | |
| 291 | group = tmp; | |
| 292 | } | |
| 293 | ||
| 294 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) | |
| 295 | ABORT; | |
| 296 | ||
| 297 | fprintf(stdout, | |
| 298 | "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); | |
| 299 | BN_print_fp(stdout, p); | |
| 300 | fprintf(stdout, ")\n a = 0x"); | |
| 301 | BN_print_fp(stdout, a); | |
| 302 | fprintf(stdout, "\n b = 0x"); | |
| 303 | BN_print_fp(stdout, b); | |
| 304 | fprintf(stdout, "\n"); | |
| 305 | ||
| 306 | P = EC_POINT_new(group); | |
| 307 | Q = EC_POINT_new(group); | |
| 308 | R = EC_POINT_new(group); | |
| 309 | if (!P || !Q || !R) | |
| 310 | ABORT; | |
| 311 | ||
| 312 | if (!EC_POINT_set_to_infinity(group, P)) | |
| 313 | ABORT; | |
| 314 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 315 | ABORT; | |
| 316 | ||
| 317 | buf[0] = 0; | |
| 318 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
| 319 | ABORT; | |
| 320 | ||
| 321 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
| 322 | ABORT; | |
| 323 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 324 | ABORT; | |
| 325 | ||
| 326 | x = BN_new(); | |
| 327 | y = BN_new(); | |
| 328 | z = BN_new(); | |
| 329 | if (!x || !y || !z) | |
| 330 | ABORT; | |
| 331 | ||
| 332 | if (!BN_hex2bn(&x, "D")) | |
| 333 | ABORT; | |
| 334 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) | |
| 335 | ABORT; | |
| 68886be7 | 336 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
| 0f113f3e MC |
337 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) |
| 338 | ABORT; | |
| 339 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
| 340 | BN_print_fp(stderr, x); | |
| 341 | fprintf(stderr, ", y = 0x"); | |
| 342 | BN_print_fp(stderr, y); | |
| 343 | fprintf(stderr, "\n"); | |
| 344 | ABORT; | |
| 345 | } | |
| 346 | ||
| 347 | fprintf(stdout, "A cyclic subgroup:\n"); | |
| 348 | k = 100; | |
| 349 | do { | |
| 350 | if (k-- == 0) | |
| 351 | ABORT; | |
| 352 | ||
| 353 | if (EC_POINT_is_at_infinity(group, P)) | |
| 354 | fprintf(stdout, " point at infinity\n"); | |
| 355 | else { | |
| 356 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 357 | ABORT; | |
| 358 | ||
| 359 | fprintf(stdout, " x = 0x"); | |
| 360 | BN_print_fp(stdout, x); | |
| 361 | fprintf(stdout, ", y = 0x"); | |
| 362 | BN_print_fp(stdout, y); | |
| 363 | fprintf(stdout, "\n"); | |
| 364 | } | |
| 365 | ||
| 366 | if (!EC_POINT_copy(R, P)) | |
| 367 | ABORT; | |
| 368 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
| 369 | ABORT; | |
| 370 | ||
| 0f113f3e MC |
371 | } |
| 372 | while (!EC_POINT_is_at_infinity(group, P)); | |
| 373 | ||
| 374 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
| 375 | ABORT; | |
| 376 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 377 | ABORT; | |
| 378 | ||
| 379 | len = | |
| 380 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
| 381 | sizeof buf, ctx); | |
| 382 | if (len == 0) | |
| 383 | ABORT; | |
| 384 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 385 | ABORT; | |
| 386 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 387 | ABORT; | |
| 388 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
| 389 | for (i = 0; i < len; i++) | |
| 390 | fprintf(stdout, "%02X", buf[i]); | |
| 391 | ||
| 392 | len = | |
| 393 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
| 394 | sizeof buf, ctx); | |
| 395 | if (len == 0) | |
| 396 | ABORT; | |
| 397 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 398 | ABORT; | |
| 399 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 400 | ABORT; | |
| 401 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
| 402 | for (i = 0; i < len; i++) | |
| 403 | fprintf(stdout, "%02X", buf[i]); | |
| 404 | ||
| 405 | len = | |
| 406 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
| 407 | ctx); | |
| 408 | if (len == 0) | |
| 409 | ABORT; | |
| 410 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 411 | ABORT; | |
| 412 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 413 | ABORT; | |
| 414 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
| 415 | for (i = 0; i < len; i++) | |
| 416 | fprintf(stdout, "%02X", buf[i]); | |
| 417 | ||
| 418 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) | |
| 419 | ABORT; | |
| 420 | fprintf(stdout, | |
| 421 | "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); | |
| 422 | BN_print_fp(stdout, x); | |
| 423 | fprintf(stdout, ", Y = 0x"); | |
| 424 | BN_print_fp(stdout, y); | |
| 425 | fprintf(stdout, ", Z = 0x"); | |
| 426 | BN_print_fp(stdout, z); | |
| 427 | fprintf(stdout, "\n"); | |
| 428 | ||
| 429 | if (!EC_POINT_invert(group, P, ctx)) | |
| 430 | ABORT; | |
| 431 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
| 432 | ABORT; | |
| 433 | ||
| 434 | /* | |
| 435 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
| 436 | * 2000) -- not a NIST curve, but commonly used | |
| 437 | */ | |
| 438 | ||
| 439 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
| 440 | ABORT; | |
| 441 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 442 | ABORT; | |
| 443 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
| 444 | ABORT; | |
| 445 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
| 446 | ABORT; | |
| 447 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 448 | ABORT; | |
| 449 | ||
| 450 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) | |
| 451 | ABORT; | |
| 452 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) | |
| 453 | ABORT; | |
| 454 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 455 | ABORT; | |
| 68886be7 | 456 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
457 | ABORT; |
| 458 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) | |
| 459 | ABORT; | |
| 460 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 461 | ABORT; | |
| 462 | ||
| 463 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 464 | ABORT; | |
| 465 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); | |
| 466 | BN_print_fp(stdout, x); | |
| 467 | fprintf(stdout, "\n y = 0x"); | |
| 468 | BN_print_fp(stdout, y); | |
| 469 | fprintf(stdout, "\n"); | |
| 470 | /* G_y value taken from the standard: */ | |
| 471 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) | |
| 472 | ABORT; | |
| 473 | if (0 != BN_cmp(y, z)) | |
| 474 | ABORT; | |
| 475 | ||
| 476 | fprintf(stdout, "verify degree ..."); | |
| 477 | if (EC_GROUP_get_degree(group) != 160) | |
| 478 | ABORT; | |
| 479 | fprintf(stdout, " ok\n"); | |
| 480 | ||
| 481 | group_order_tests(group); | |
| 482 | ||
| 75ebbd9a | 483 | if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
484 | ABORT; |
| 485 | if (!EC_GROUP_copy(P_160, group)) | |
| 486 | ABORT; | |
| 487 | ||
| 488 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
| 489 | ||
| 490 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
| 491 | ABORT; | |
| 492 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 493 | ABORT; | |
| 494 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
| 495 | ABORT; | |
| 496 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) | |
| 497 | ABORT; | |
| 498 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 499 | ABORT; | |
| 500 | ||
| 501 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) | |
| 502 | ABORT; | |
| 503 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
| 504 | ABORT; | |
| 68886be7 | 505 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
506 | ABORT; |
| 507 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) | |
| 508 | ABORT; | |
| 509 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 510 | ABORT; | |
| 511 | ||
| 512 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 513 | ABORT; | |
| 514 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); | |
| 515 | BN_print_fp(stdout, x); | |
| 516 | fprintf(stdout, "\n y = 0x"); | |
| 517 | BN_print_fp(stdout, y); | |
| 518 | fprintf(stdout, "\n"); | |
| 519 | /* G_y value taken from the standard: */ | |
| 520 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) | |
| 521 | ABORT; | |
| 522 | if (0 != BN_cmp(y, z)) | |
| 523 | ABORT; | |
| 524 | ||
| 525 | fprintf(stdout, "verify degree ..."); | |
| 526 | if (EC_GROUP_get_degree(group) != 192) | |
| 527 | ABORT; | |
| 528 | fprintf(stdout, " ok\n"); | |
| 529 | ||
| 530 | group_order_tests(group); | |
| 531 | ||
| 75ebbd9a | 532 | if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
533 | ABORT; |
| 534 | if (!EC_GROUP_copy(P_192, group)) | |
| 535 | ABORT; | |
| 536 | ||
| 537 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
| 538 | ||
| 539 | if (!BN_hex2bn | |
| 540 | (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) | |
| 541 | ABORT; | |
| 542 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 543 | ABORT; | |
| 544 | if (!BN_hex2bn | |
| 545 | (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
| 546 | ABORT; | |
| 547 | if (!BN_hex2bn | |
| 548 | (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) | |
| 549 | ABORT; | |
| 550 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 551 | ABORT; | |
| 552 | ||
| 553 | if (!BN_hex2bn | |
| 554 | (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) | |
| 555 | ABORT; | |
| 556 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
| 557 | ABORT; | |
| 68886be7 | 558 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
559 | ABORT; |
| 560 | if (!BN_hex2bn | |
| 561 | (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
| 562 | ABORT; | |
| 563 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 564 | ABORT; | |
| 565 | ||
| 566 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 567 | ABORT; | |
| 568 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); | |
| 569 | BN_print_fp(stdout, x); | |
| 570 | fprintf(stdout, "\n y = 0x"); | |
| 571 | BN_print_fp(stdout, y); | |
| 572 | fprintf(stdout, "\n"); | |
| 573 | /* G_y value taken from the standard: */ | |
| 574 | if (!BN_hex2bn | |
| 575 | (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) | |
| 576 | ABORT; | |
| 577 | if (0 != BN_cmp(y, z)) | |
| 578 | ABORT; | |
| 579 | ||
| 580 | fprintf(stdout, "verify degree ..."); | |
| 581 | if (EC_GROUP_get_degree(group) != 224) | |
| 582 | ABORT; | |
| 583 | fprintf(stdout, " ok\n"); | |
| 584 | ||
| 585 | group_order_tests(group); | |
| 586 | ||
| 75ebbd9a | 587 | if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
588 | ABORT; |
| 589 | if (!EC_GROUP_copy(P_224, group)) | |
| 590 | ABORT; | |
| 591 | ||
| 592 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
| 593 | ||
| 594 | if (!BN_hex2bn | |
| 595 | (&p, | |
| 596 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
| 597 | ABORT; | |
| 598 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 599 | ABORT; | |
| 600 | if (!BN_hex2bn | |
| 601 | (&a, | |
| 602 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
| 603 | ABORT; | |
| 604 | if (!BN_hex2bn | |
| 605 | (&b, | |
| 606 | "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) | |
| 607 | ABORT; | |
| 608 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 609 | ABORT; | |
| 610 | ||
| 611 | if (!BN_hex2bn | |
| 612 | (&x, | |
| 613 | "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) | |
| 614 | ABORT; | |
| 615 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
| 616 | ABORT; | |
| 68886be7 | 617 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
618 | ABORT; |
| 619 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" | |
| 620 | "84F3B9CAC2FC632551")) | |
| 621 | ABORT; | |
| 622 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 623 | ABORT; | |
| 624 | ||
| 625 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 626 | ABORT; | |
| 627 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); | |
| 628 | BN_print_fp(stdout, x); | |
| 629 | fprintf(stdout, "\n y = 0x"); | |
| 630 | BN_print_fp(stdout, y); | |
| 631 | fprintf(stdout, "\n"); | |
| 632 | /* G_y value taken from the standard: */ | |
| 633 | if (!BN_hex2bn | |
| 634 | (&z, | |
| 635 | "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) | |
| 636 | ABORT; | |
| 637 | if (0 != BN_cmp(y, z)) | |
| 638 | ABORT; | |
| 639 | ||
| 640 | fprintf(stdout, "verify degree ..."); | |
| 641 | if (EC_GROUP_get_degree(group) != 256) | |
| 642 | ABORT; | |
| 643 | fprintf(stdout, " ok\n"); | |
| 644 | ||
| 645 | group_order_tests(group); | |
| 646 | ||
| 75ebbd9a | 647 | if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
648 | ABORT; |
| 649 | if (!EC_GROUP_copy(P_256, group)) | |
| 650 | ABORT; | |
| 651 | ||
| 652 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
| 653 | ||
| 654 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 655 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) | |
| 656 | ABORT; | |
| 657 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 658 | ABORT; | |
| 659 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 660 | "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) | |
| 661 | ABORT; | |
| 662 | if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" | |
| 663 | "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
| 664 | ABORT; | |
| 665 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 666 | ABORT; | |
| 667 | ||
| 668 | if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" | |
| 669 | "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) | |
| 670 | ABORT; | |
| 671 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) | |
| 672 | ABORT; | |
| 68886be7 | 673 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
674 | ABORT; |
| 675 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 676 | "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) | |
| 677 | ABORT; | |
| 678 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 679 | ABORT; | |
| 680 | ||
| 681 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 682 | ABORT; | |
| 683 | fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); | |
| 684 | BN_print_fp(stdout, x); | |
| 685 | fprintf(stdout, "\n y = 0x"); | |
| 686 | BN_print_fp(stdout, y); | |
| 687 | fprintf(stdout, "\n"); | |
| 688 | /* G_y value taken from the standard: */ | |
| 689 | if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" | |
| 690 | "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
| 691 | ABORT; | |
| 692 | if (0 != BN_cmp(y, z)) | |
| 693 | ABORT; | |
| 694 | ||
| 695 | fprintf(stdout, "verify degree ..."); | |
| 696 | if (EC_GROUP_get_degree(group) != 384) | |
| 697 | ABORT; | |
| 698 | fprintf(stdout, " ok\n"); | |
| 699 | ||
| 700 | group_order_tests(group); | |
| 701 | ||
| 75ebbd9a | 702 | if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
703 | ABORT; |
| 704 | if (!EC_GROUP_copy(P_384, group)) | |
| 705 | ABORT; | |
| 706 | ||
| 707 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
| 708 | ||
| 709 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 710 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 711 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
| 712 | ABORT; | |
| 713 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 714 | ABORT; | |
| 715 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 716 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 717 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
| 718 | ABORT; | |
| 719 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" | |
| 720 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" | |
| 721 | "DF883D2C34F1EF451FD46B503F00")) | |
| 722 | ABORT; | |
| 723 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
| 724 | ABORT; | |
| 725 | ||
| 726 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" | |
| 727 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" | |
| 728 | "3C1856A429BF97E7E31C2E5BD66")) | |
| 729 | ABORT; | |
| 730 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) | |
| 731 | ABORT; | |
| 68886be7 | 732 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
733 | ABORT; |
| 734 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
| 735 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" | |
| 736 | "C9B8899C47AEBB6FB71E91386409")) | |
| 737 | ABORT; | |
| 738 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
| 739 | ABORT; | |
| 740 | ||
| 741 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) | |
| 742 | ABORT; | |
| 743 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); | |
| 744 | BN_print_fp(stdout, x); | |
| 745 | fprintf(stdout, "\n y = 0x"); | |
| 746 | BN_print_fp(stdout, y); | |
| 747 | fprintf(stdout, "\n"); | |
| 748 | /* G_y value taken from the standard: */ | |
| 749 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" | |
| 750 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" | |
| 751 | "7086A272C24088BE94769FD16650")) | |
| 752 | ABORT; | |
| 753 | if (0 != BN_cmp(y, z)) | |
| 754 | ABORT; | |
| 755 | ||
| 756 | fprintf(stdout, "verify degree ..."); | |
| 757 | if (EC_GROUP_get_degree(group) != 521) | |
| 758 | ABORT; | |
| 759 | fprintf(stdout, " ok\n"); | |
| 760 | ||
| 761 | group_order_tests(group); | |
| 762 | ||
| 75ebbd9a | 763 | if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) |
| 0f113f3e MC |
764 | ABORT; |
| 765 | if (!EC_GROUP_copy(P_521, group)) | |
| 766 | ABORT; | |
| 767 | ||
| 768 | /* more tests using the last curve */ | |
| 769 | ||
| 770 | if (!EC_POINT_copy(Q, P)) | |
| 771 | ABORT; | |
| 772 | if (EC_POINT_is_at_infinity(group, Q)) | |
| 773 | ABORT; | |
| 774 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
| 775 | ABORT; | |
| 68886be7 | 776 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
777 | ABORT; |
| 778 | if (!EC_POINT_invert(group, Q, ctx)) | |
| 779 | ABORT; /* P = -2Q */ | |
| 780 | ||
| 781 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
| 782 | ABORT; | |
| 783 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
| 784 | ABORT; | |
| 785 | if (!EC_POINT_is_at_infinity(group, R)) | |
| 786 | ABORT; /* R = P + 2Q */ | |
| 787 | ||
| 788 | { | |
| 789 | const EC_POINT *points[4]; | |
| 790 | const BIGNUM *scalars[4]; | |
| 791 | BIGNUM *scalar3; | |
| 792 | ||
| 793 | if (EC_POINT_is_at_infinity(group, Q)) | |
| 794 | ABORT; | |
| 795 | points[0] = Q; | |
| 796 | points[1] = Q; | |
| 797 | points[2] = Q; | |
| 798 | points[3] = Q; | |
| 799 | ||
| 800 | if (!EC_GROUP_get_order(group, z, ctx)) | |
| 801 | ABORT; | |
| 802 | if (!BN_add(y, z, BN_value_one())) | |
| 803 | ABORT; | |
| 804 | if (BN_is_odd(y)) | |
| 805 | ABORT; | |
| 806 | if (!BN_rshift1(y, y)) | |
| 807 | ABORT; | |
| 808 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
| 809 | scalars[1] = y; | |
| 810 | ||
| 811 | fprintf(stdout, "combined multiplication ..."); | |
| 812 | fflush(stdout); | |
| 813 | ||
| 814 | /* z is still the group order */ | |
| 815 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
| 816 | ABORT; | |
| 817 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
| 818 | ABORT; | |
| 819 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
| 820 | ABORT; | |
| 821 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
| 822 | ABORT; | |
| 823 | ||
| 824 | fprintf(stdout, "."); | |
| 825 | fflush(stdout); | |
| 826 | ||
| 827 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
| 828 | ABORT; | |
| 829 | if (!BN_add(z, z, y)) | |
| 830 | ABORT; | |
| 831 | BN_set_negative(z, 1); | |
| 832 | scalars[0] = y; | |
| 833 | scalars[1] = z; /* z = -(order + y) */ | |
| 834 | ||
| 835 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
| 836 | ABORT; | |
| 837 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 838 | ABORT; | |
| 839 | ||
| 840 | fprintf(stdout, "."); | |
| 841 | fflush(stdout); | |
| 842 | ||
| 843 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
| 844 | ABORT; | |
| 845 | if (!BN_add(z, x, y)) | |
| 846 | ABORT; | |
| 847 | BN_set_negative(z, 1); | |
| 848 | scalars[0] = x; | |
| 849 | scalars[1] = y; | |
| 850 | scalars[2] = z; /* z = -(x+y) */ | |
| 851 | ||
| 852 | scalar3 = BN_new(); | |
| 853 | if (!scalar3) | |
| 854 | ABORT; | |
| 855 | BN_zero(scalar3); | |
| 856 | scalars[3] = scalar3; | |
| 857 | ||
| 858 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
| 859 | ABORT; | |
| 860 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 861 | ABORT; | |
| 862 | ||
| 863 | fprintf(stdout, " ok\n\n"); | |
| 864 | ||
| 865 | BN_free(scalar3); | |
| 866 | } | |
| 867 | ||
| 23a1d5e9 | 868 | BN_CTX_free(ctx); |
| 0f113f3e MC |
869 | BN_free(p); |
| 870 | BN_free(a); | |
| 871 | BN_free(b); | |
| 872 | EC_GROUP_free(group); | |
| 873 | EC_POINT_free(P); | |
| 874 | EC_POINT_free(Q); | |
| 875 | EC_POINT_free(R); | |
| 876 | BN_free(x); | |
| 877 | BN_free(y); | |
| 878 | BN_free(z); | |
| 879 | ||
| 8fdc3734 RS |
880 | EC_GROUP_free(P_160); |
| 881 | EC_GROUP_free(P_192); | |
| 882 | EC_GROUP_free(P_224); | |
| 883 | EC_GROUP_free(P_256); | |
| 884 | EC_GROUP_free(P_384); | |
| 885 | EC_GROUP_free(P_521); | |
| 0f113f3e MC |
886 | |
| 887 | } | |
| 7793f30e BM |
888 | |
| 889 | /* Change test based on whether binary point compression is enabled or not. */ | |
| 0f113f3e MC |
890 | # ifdef OPENSSL_EC_BIN_PT_COMP |
| 891 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
| 892 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
| 893 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ | |
| 68886be7 | 894 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
| 0f113f3e MC |
895 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 896 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
| 897 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
| 898 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
| 899 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
| 900 | BN_print_fp(stdout, x); \ | |
| 901 | fprintf(stdout, "\n y = 0x"); \ | |
| 902 | BN_print_fp(stdout, y); \ | |
| 903 | fprintf(stdout, "\n"); \ | |
| 904 | /* G_y value taken from the standard: */ \ | |
| 905 | if (!BN_hex2bn(&z, _y)) ABORT; \ | |
| 906 | if (0 != BN_cmp(y, z)) ABORT; | |
| 907 | # else | |
| 908 | # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
| 909 | if (!BN_hex2bn(&x, _x)) ABORT; \ | |
| 910 | if (!BN_hex2bn(&y, _y)) ABORT; \ | |
| 911 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ | |
| 68886be7 | 912 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \ |
| 0f113f3e MC |
913 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 914 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ | |
| 915 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ | |
| 916 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ | |
| 917 | BN_print_fp(stdout, x); \ | |
| 918 | fprintf(stdout, "\n y = 0x"); \ | |
| 919 | BN_print_fp(stdout, y); \ | |
| 920 | fprintf(stdout, "\n"); | |
| 921 | # endif | |
| 922 | ||
| 923 | # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
| 924 | if (!BN_hex2bn(&p, _p)) ABORT; \ | |
| 925 | if (!BN_hex2bn(&a, _a)) ABORT; \ | |
| 926 | if (!BN_hex2bn(&b, _b)) ABORT; \ | |
| 927 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ | |
| 928 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ | |
| 929 | fprintf(stdout, "verify degree ..."); \ | |
| 930 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ | |
| 931 | fprintf(stdout, " ok\n"); \ | |
| 932 | group_order_tests(group); \ | |
| 75ebbd9a | 933 | if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \ |
| 0f113f3e MC |
934 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ |
| 935 | ||
| 936 | # ifndef OPENSSL_NO_EC2M | |
| 7793f30e | 937 | |
| c13d7c02 | 938 | static void char2_field_tests(void) |
| 0f113f3e MC |
939 | { |
| 940 | BN_CTX *ctx = NULL; | |
| 941 | BIGNUM *p, *a, *b; | |
| 942 | EC_GROUP *group; | |
| 943 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = | |
| 944 | NULL, *C2_K571 = NULL; | |
| 945 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = | |
| 946 | NULL, *C2_B571 = NULL; | |
| 947 | EC_POINT *P, *Q, *R; | |
| 948 | BIGNUM *x, *y, *z, *cof; | |
| 949 | unsigned char buf[100]; | |
| 950 | size_t i, len; | |
| 951 | int k; | |
| 952 | ||
| 0f113f3e MC |
953 | ctx = BN_CTX_new(); |
| 954 | if (!ctx) | |
| 955 | ABORT; | |
| 0f113f3e MC |
956 | |
| 957 | p = BN_new(); | |
| 958 | a = BN_new(); | |
| 959 | b = BN_new(); | |
| 960 | if (!p || !a || !b) | |
| 961 | ABORT; | |
| 962 | ||
| 963 | if (!BN_hex2bn(&p, "13")) | |
| 964 | ABORT; | |
| 965 | if (!BN_hex2bn(&a, "3")) | |
| 966 | ABORT; | |
| 967 | if (!BN_hex2bn(&b, "1")) | |
| 968 | ABORT; | |
| 969 | ||
| 970 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
| 971 | * EC_GROUP_new_curve_GF2m | |
| 972 | * so that the library gets | |
| 973 | * to choose the EC_METHOD */ | |
| 974 | if (!group) | |
| 975 | ABORT; | |
| 976 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
| 977 | ABORT; | |
| 978 | ||
| 979 | { | |
| 980 | EC_GROUP *tmp; | |
| 981 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); | |
| 982 | if (!tmp) | |
| 983 | ABORT; | |
| 984 | if (!EC_GROUP_copy(tmp, group)) | |
| 985 | ABORT; | |
| 986 | EC_GROUP_free(group); | |
| 987 | group = tmp; | |
| 988 | } | |
| 989 | ||
| 990 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) | |
| 991 | ABORT; | |
| 992 | ||
| 993 | fprintf(stdout, | |
| 994 | "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); | |
| 995 | BN_print_fp(stdout, p); | |
| 996 | fprintf(stdout, ")\n a = 0x"); | |
| 997 | BN_print_fp(stdout, a); | |
| 998 | fprintf(stdout, "\n b = 0x"); | |
| 999 | BN_print_fp(stdout, b); | |
| 1000 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); | |
| 1001 | ||
| 1002 | P = EC_POINT_new(group); | |
| 1003 | Q = EC_POINT_new(group); | |
| 1004 | R = EC_POINT_new(group); | |
| 1005 | if (!P || !Q || !R) | |
| 1006 | ABORT; | |
| 1007 | ||
| 1008 | if (!EC_POINT_set_to_infinity(group, P)) | |
| 1009 | ABORT; | |
| 1010 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 1011 | ABORT; | |
| 1012 | ||
| 1013 | buf[0] = 0; | |
| 1014 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
| 1015 | ABORT; | |
| 1016 | ||
| 1017 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
| 1018 | ABORT; | |
| 1019 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 1020 | ABORT; | |
| 1021 | ||
| 1022 | x = BN_new(); | |
| 1023 | y = BN_new(); | |
| 1024 | z = BN_new(); | |
| 1025 | cof = BN_new(); | |
| 1026 | if (!x || !y || !z || !cof) | |
| 1027 | ABORT; | |
| 1028 | ||
| 1029 | if (!BN_hex2bn(&x, "6")) | |
| 1030 | ABORT; | |
| 7793f30e | 1031 | /* Change test based on whether binary point compression is enabled or not. */ |
| 0f113f3e MC |
1032 | # ifdef OPENSSL_EC_BIN_PT_COMP |
| 1033 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) | |
| 1034 | ABORT; | |
| 1035 | # else | |
| 1036 | if (!BN_hex2bn(&y, "8")) | |
| 1037 | ABORT; | |
| 1038 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
| 1039 | ABORT; | |
| 1040 | # endif | |
| 68886be7 | 1041 | if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) { |
| 7793f30e | 1042 | /* Change test based on whether binary point compression is enabled or not. */ |
| 0f113f3e MC |
1043 | # ifdef OPENSSL_EC_BIN_PT_COMP |
| 1044 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
| 1045 | ABORT; | |
| 1046 | # endif | |
| 1047 | fprintf(stderr, "Point is not on curve: x = 0x"); | |
| 1048 | BN_print_fp(stderr, x); | |
| 1049 | fprintf(stderr, ", y = 0x"); | |
| 1050 | BN_print_fp(stderr, y); | |
| 1051 | fprintf(stderr, "\n"); | |
| 1052 | ABORT; | |
| 1053 | } | |
| 1054 | ||
| 1055 | fprintf(stdout, "A cyclic subgroup:\n"); | |
| 1056 | k = 100; | |
| 1057 | do { | |
| 1058 | if (k-- == 0) | |
| 1059 | ABORT; | |
| 1060 | ||
| 1061 | if (EC_POINT_is_at_infinity(group, P)) | |
| 1062 | fprintf(stdout, " point at infinity\n"); | |
| 1063 | else { | |
| 1064 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
| 1065 | ABORT; | |
| 1066 | ||
| 1067 | fprintf(stdout, " x = 0x"); | |
| 1068 | BN_print_fp(stdout, x); | |
| 1069 | fprintf(stdout, ", y = 0x"); | |
| 1070 | BN_print_fp(stdout, y); | |
| 1071 | fprintf(stdout, "\n"); | |
| 1072 | } | |
| 1073 | ||
| 1074 | if (!EC_POINT_copy(R, P)) | |
| 1075 | ABORT; | |
| 1076 | if (!EC_POINT_add(group, P, P, Q, ctx)) | |
| 1077 | ABORT; | |
| 1078 | } | |
| 1079 | while (!EC_POINT_is_at_infinity(group, P)); | |
| 1080 | ||
| 1081 | if (!EC_POINT_add(group, P, Q, R, ctx)) | |
| 1082 | ABORT; | |
| 1083 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 1084 | ABORT; | |
| 7793f30e BM |
1085 | |
| 1086 | /* Change test based on whether binary point compression is enabled or not. */ | |
| 0f113f3e MC |
1087 | # ifdef OPENSSL_EC_BIN_PT_COMP |
| 1088 | len = | |
| 1089 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
| 1090 | sizeof buf, ctx); | |
| 1091 | if (len == 0) | |
| 1092 | ABORT; | |
| 1093 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 1094 | ABORT; | |
| 1095 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 1096 | ABORT; | |
| 1097 | fprintf(stdout, "Generator as octet string, compressed form:\n "); | |
| 1098 | for (i = 0; i < len; i++) | |
| 1099 | fprintf(stdout, "%02X", buf[i]); | |
| 1100 | # endif | |
| 1101 | ||
| 1102 | len = | |
| 1103 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, | |
| 1104 | sizeof buf, ctx); | |
| 1105 | if (len == 0) | |
| 1106 | ABORT; | |
| 1107 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 1108 | ABORT; | |
| 1109 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 1110 | ABORT; | |
| 1111 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); | |
| 1112 | for (i = 0; i < len; i++) | |
| 1113 | fprintf(stdout, "%02X", buf[i]); | |
| 7793f30e | 1114 | |
| 0f113f3e MC |
1115 | /* Change test based on whether binary point compression is enabled or not. */ |
| 1116 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
| 1117 | len = | |
| 1118 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, | |
| 1119 | ctx); | |
| 1120 | if (len == 0) | |
| 1121 | ABORT; | |
| 1122 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) | |
| 1123 | ABORT; | |
| 1124 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) | |
| 1125 | ABORT; | |
| 1126 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); | |
| 1127 | for (i = 0; i < len; i++) | |
| 1128 | fprintf(stdout, "%02X", buf[i]); | |
| 1129 | # endif | |
| 1130 | ||
| 1131 | fprintf(stdout, "\n"); | |
| 1132 | ||
| 1133 | if (!EC_POINT_invert(group, P, ctx)) | |
| 1134 | ABORT; | |
| 1135 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
| 1136 | ABORT; | |
| 1137 | ||
| 1138 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
| 1139 | CHAR2_CURVE_TEST | |
| 1140 | ("NIST curve K-163", | |
| 1141 | "0800000000000000000000000000000000000000C9", | |
| 1142 | "1", | |
| 1143 | "1", | |
| 1144 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
| 1145 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
| 1146 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163); | |
| 1147 | ||
| 1148 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
| 1149 | CHAR2_CURVE_TEST | |
| 1150 | ("NIST curve B-163", | |
| 1151 | "0800000000000000000000000000000000000000C9", | |
| 1152 | "1", | |
| 1153 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
| 1154 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
| 1155 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
| 1156 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163); | |
| 1157 | ||
| 1158 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
| 1159 | CHAR2_CURVE_TEST | |
| 1160 | ("NIST curve K-233", | |
| 1161 | "020000000000000000000000000000000000000004000000000000000001", | |
| 1162 | "0", | |
| 1163 | "1", | |
| 1164 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
| 1165 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
| 1166 | 0, | |
| 1167 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
| 1168 | "4", 233, C2_K233); | |
| 1169 | ||
| 1170 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
| 1171 | CHAR2_CURVE_TEST | |
| 1172 | ("NIST curve B-233", | |
| 1173 | "020000000000000000000000000000000000000004000000000000000001", | |
| 1174 | "000000000000000000000000000000000000000000000000000000000001", | |
| 1175 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
| 1176 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
| 1177 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
| 1178 | 1, | |
| 1179 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
| 1180 | "2", 233, C2_B233); | |
| 1181 | ||
| 1182 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
| 1183 | CHAR2_CURVE_TEST | |
| 1184 | ("NIST curve K-283", | |
| 1185 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
| 1186 | "0", | |
| 1187 | "1", | |
| 1188 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
| 1189 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
| 1190 | 0, | |
| 1191 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
| 1192 | "4", 283, C2_K283); | |
| 1193 | ||
| 1194 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
| 1195 | CHAR2_CURVE_TEST | |
| 1196 | ("NIST curve B-283", | |
| 1197 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", | |
| 1198 | "000000000000000000000000000000000000000000000000000000000000000000000001", | |
| 1199 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
| 1200 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
| 1201 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
| 1202 | 1, | |
| 1203 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
| 1204 | "2", 283, C2_B283); | |
| 1205 | ||
| 1206 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
| 1207 | CHAR2_CURVE_TEST | |
| 1208 | ("NIST curve K-409", | |
| 1209 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
| 1210 | "0", | |
| 1211 | "1", | |
| 1212 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
| 1213 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
| 1214 | 1, | |
| 1215 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
| 1216 | "4", 409, C2_K409); | |
| 1217 | ||
| 1218 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
| 1219 | CHAR2_CURVE_TEST | |
| 1220 | ("NIST curve B-409", | |
| 1221 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", | |
| 1222 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
| 1223 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
| 1224 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
| 1225 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
| 1226 | 1, | |
| 1227 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
| 1228 | "2", 409, C2_B409); | |
| 1229 | ||
| 1230 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
| 1231 | CHAR2_CURVE_TEST | |
| 1232 | ("NIST curve K-571", | |
| 1233 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
| 1234 | "0", | |
| 1235 | "1", | |
| 1236 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
| 1237 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
| 1238 | 0, | |
| 1239 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
| 1240 | "4", 571, C2_K571); | |
| 1241 | ||
| 1242 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
| 1243 | CHAR2_CURVE_TEST | |
| 1244 | ("NIST curve B-571", | |
| 1245 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", | |
| 1246 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", | |
| 1247 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
| 1248 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
| 1249 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
| 1250 | 1, | |
| 1251 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
| 1252 | "2", 571, C2_B571); | |
| 1253 | ||
| 1254 | /* more tests using the last curve */ | |
| 1255 | ||
| 1256 | if (!EC_POINT_copy(Q, P)) | |
| 1257 | ABORT; | |
| 1258 | if (EC_POINT_is_at_infinity(group, Q)) | |
| 1259 | ABORT; | |
| 1260 | if (!EC_POINT_dbl(group, P, P, ctx)) | |
| 1261 | ABORT; | |
| 68886be7 | 1262 | if (EC_POINT_is_on_curve(group, P, ctx) <= 0) |
| 0f113f3e MC |
1263 | ABORT; |
| 1264 | if (!EC_POINT_invert(group, Q, ctx)) | |
| 1265 | ABORT; /* P = -2Q */ | |
| 1266 | ||
| 1267 | if (!EC_POINT_add(group, R, P, Q, ctx)) | |
| 1268 | ABORT; | |
| 1269 | if (!EC_POINT_add(group, R, R, Q, ctx)) | |
| 1270 | ABORT; | |
| 1271 | if (!EC_POINT_is_at_infinity(group, R)) | |
| 1272 | ABORT; /* R = P + 2Q */ | |
| 1273 | ||
| 1274 | { | |
| 1275 | const EC_POINT *points[3]; | |
| 1276 | const BIGNUM *scalars[3]; | |
| 1277 | ||
| 1278 | if (EC_POINT_is_at_infinity(group, Q)) | |
| 1279 | ABORT; | |
| 1280 | points[0] = Q; | |
| 1281 | points[1] = Q; | |
| 1282 | points[2] = Q; | |
| 1283 | ||
| 1284 | if (!BN_add(y, z, BN_value_one())) | |
| 1285 | ABORT; | |
| 1286 | if (BN_is_odd(y)) | |
| 1287 | ABORT; | |
| 1288 | if (!BN_rshift1(y, y)) | |
| 1289 | ABORT; | |
| 1290 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
| 1291 | scalars[1] = y; | |
| 1292 | ||
| 1293 | fprintf(stdout, "combined multiplication ..."); | |
| 1294 | fflush(stdout); | |
| 1295 | ||
| 1296 | /* z is still the group order */ | |
| 1297 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
| 1298 | ABORT; | |
| 1299 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
| 1300 | ABORT; | |
| 1301 | if (0 != EC_POINT_cmp(group, P, R, ctx)) | |
| 1302 | ABORT; | |
| 1303 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) | |
| 1304 | ABORT; | |
| 1305 | ||
| 1306 | fprintf(stdout, "."); | |
| 1307 | fflush(stdout); | |
| 1308 | ||
| 1309 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) | |
| 1310 | ABORT; | |
| 1311 | if (!BN_add(z, z, y)) | |
| 1312 | ABORT; | |
| 1313 | BN_set_negative(z, 1); | |
| 1314 | scalars[0] = y; | |
| 1315 | scalars[1] = z; /* z = -(order + y) */ | |
| 1316 | ||
| 1317 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
| 1318 | ABORT; | |
| 1319 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 1320 | ABORT; | |
| 1321 | ||
| 1322 | fprintf(stdout, "."); | |
| 1323 | fflush(stdout); | |
| 1324 | ||
| 1325 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
| 1326 | ABORT; | |
| 1327 | if (!BN_add(z, x, y)) | |
| 1328 | ABORT; | |
| 1329 | BN_set_negative(z, 1); | |
| 1330 | scalars[0] = x; | |
| 1331 | scalars[1] = y; | |
| 1332 | scalars[2] = z; /* z = -(x+y) */ | |
| 1333 | ||
| 1334 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) | |
| 1335 | ABORT; | |
| 1336 | if (!EC_POINT_is_at_infinity(group, P)) | |
| 1337 | ABORT; | |
| 1338 | ||
| 1339 | fprintf(stdout, " ok\n\n"); | |
| 1340 | } | |
| 1341 | ||
| 23a1d5e9 | 1342 | BN_CTX_free(ctx); |
| 0f113f3e MC |
1343 | BN_free(p); |
| 1344 | BN_free(a); | |
| 1345 | BN_free(b); | |
| 1346 | EC_GROUP_free(group); | |
| 1347 | EC_POINT_free(P); | |
| 1348 | EC_POINT_free(Q); | |
| 1349 | EC_POINT_free(R); | |
| 1350 | BN_free(x); | |
| 1351 | BN_free(y); | |
| 1352 | BN_free(z); | |
| 1353 | BN_free(cof); | |
| 1354 | ||
| 8fdc3734 RS |
1355 | EC_GROUP_free(C2_K163); |
| 1356 | EC_GROUP_free(C2_B163); | |
| 1357 | EC_GROUP_free(C2_K233); | |
| 1358 | EC_GROUP_free(C2_B233); | |
| 1359 | EC_GROUP_free(C2_K283); | |
| 1360 | EC_GROUP_free(C2_B283); | |
| 1361 | EC_GROUP_free(C2_K409); | |
| 1362 | EC_GROUP_free(C2_B409); | |
| 1363 | EC_GROUP_free(C2_K571); | |
| 1364 | EC_GROUP_free(C2_B571); | |
| 0f113f3e MC |
1365 | |
| 1366 | } | |
| 1367 | # endif | |
| 7793f30e | 1368 | |
| 5df2a249 | 1369 | static void internal_curve_test(void) |
| 0f113f3e MC |
1370 | { |
| 1371 | EC_builtin_curve *curves = NULL; | |
| 1372 | size_t crv_len = 0, n = 0; | |
| 1373 | int ok = 1; | |
| 1374 | ||
| 1375 | crv_len = EC_get_builtin_curves(NULL, 0); | |
| b4faea50 | 1376 | curves = OPENSSL_malloc(sizeof(*curves) * crv_len); |
| 0f113f3e MC |
1377 | if (curves == NULL) |
| 1378 | return; | |
| 1379 | ||
| 1380 | if (!EC_get_builtin_curves(curves, crv_len)) { | |
| 1381 | OPENSSL_free(curves); | |
| 1382 | return; | |
| 1383 | } | |
| 1384 | ||
| 1385 | fprintf(stdout, "testing internal curves: "); | |
| 1386 | ||
| 1387 | for (n = 0; n < crv_len; n++) { | |
| 1388 | EC_GROUP *group = NULL; | |
| 1389 | int nid = curves[n].nid; | |
| 1390 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
| 1391 | ok = 0; | |
| 1392 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" | |
| 1393 | " curve %s\n", OBJ_nid2sn(nid)); | |
| 1394 | /* try next curve */ | |
| 1395 | continue; | |
| 1396 | } | |
| 1397 | if (!EC_GROUP_check(group, NULL)) { | |
| 1398 | ok = 0; | |
| 1399 | fprintf(stdout, "\nEC_GROUP_check() failed with" | |
| 1400 | " curve %s\n", OBJ_nid2sn(nid)); | |
| 1401 | EC_GROUP_free(group); | |
| 1402 | /* try the next curve */ | |
| 1403 | continue; | |
| 1404 | } | |
| 1405 | fprintf(stdout, "."); | |
| 1406 | fflush(stdout); | |
| 1407 | EC_GROUP_free(group); | |
| 1408 | } | |
| 1409 | if (ok) | |
| 1410 | fprintf(stdout, " ok\n\n"); | |
| 1411 | else { | |
| 1412 | fprintf(stdout, " failed\n\n"); | |
| 1413 | ABORT; | |
| 1414 | } | |
| 920ed8c8 BB |
1415 | |
| 1416 | /* Test all built-in curves and let the library choose the EC_METHOD */ | |
| 1417 | for (n = 0; n < crv_len; n++) { | |
| 1418 | EC_GROUP *group = NULL; | |
| 1419 | int nid = curves[n].nid; | |
| 1420 | fprintf(stdout, "%s:\n", OBJ_nid2sn(nid)); | |
| 1421 | fflush(stdout); | |
| 1422 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { | |
| 1423 | ABORT; | |
| 1424 | } | |
| 1425 | group_order_tests(group); | |
| 1426 | EC_GROUP_free(group); | |
| 1427 | } | |
| 1428 | ||
| 0f113f3e MC |
1429 | OPENSSL_free(curves); |
| 1430 | return; | |
| 1431 | } | |
| 1432 | ||
| 1433 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
| 1434 | /* | |
| 1435 | * nistp_test_params contains magic numbers for testing our optimized | |
| 1436 | * implementations of several NIST curves with characteristic > 3. | |
| 1437 | */ | |
| 1438 | struct nistp_test_params { | |
| 1439 | const EC_METHOD *(*meth) (); | |
| 1440 | int degree; | |
| 1441 | /* | |
| 1442 | * Qx, Qy and D are taken from | |
| 79caf5d3 | 1443 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
| 0f113f3e MC |
1444 | * Otherwise, values are standard curve parameters from FIPS 180-3 |
| 1445 | */ | |
| 1446 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
| 1447 | }; | |
| 1448 | ||
| 1449 | static const struct nistp_test_params nistp_tests_params[] = { | |
| 1450 | { | |
| 1451 | /* P-224 */ | |
| 1452 | EC_GFp_nistp224_method, | |
| 1453 | 224, | |
| 1454 | /* p */ | |
| 1455 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
| 1456 | /* a */ | |
| 1457 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
| 1458 | /* b */ | |
| 1459 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
| 1460 | /* Qx */ | |
| 1461 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
| 1462 | /* Qy */ | |
| 1463 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
| 1464 | /* Gx */ | |
| 1465 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
| 1466 | /* Gy */ | |
| 1467 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
| 1468 | /* order */ | |
| 1469 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
| 1470 | /* d */ | |
| 1471 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
| 1472 | }, | |
| 1473 | { | |
| 1474 | /* P-256 */ | |
| 1475 | EC_GFp_nistp256_method, | |
| 1476 | 256, | |
| 1477 | /* p */ | |
| 1478 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
| 1479 | /* a */ | |
| 1480 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
| 1481 | /* b */ | |
| 1482 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
| 1483 | /* Qx */ | |
| 1484 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
| 1485 | /* Qy */ | |
| 1486 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
| 1487 | /* Gx */ | |
| 1488 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
| 1489 | /* Gy */ | |
| 1490 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
| 1491 | /* order */ | |
| 1492 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
| 1493 | /* d */ | |
| 1494 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
| 1495 | }, | |
| 1496 | { | |
| 1497 | /* P-521 */ | |
| 1498 | EC_GFp_nistp521_method, | |
| 1499 | 521, | |
| 1500 | /* p */ | |
| 1501 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
| 1502 | /* a */ | |
| 1503 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
| 1504 | /* b */ | |
| 1505 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
| 1506 | /* Qx */ | |
| 1507 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
| 1508 | /* Qy */ | |
| 1509 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
| 1510 | /* Gx */ | |
| 1511 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
| 1512 | /* Gy */ | |
| 1513 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
| 1514 | /* order */ | |
| 1515 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
| 1516 | /* d */ | |
| 1517 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
| 1518 | }, | |
| 1519 | }; | |
| 3e00b4c9 | 1520 | |
| b597aab8 | 1521 | static void nistp_single_test(const struct nistp_test_params *test) |
| 0f113f3e MC |
1522 | { |
| 1523 | BN_CTX *ctx; | |
| 1524 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; | |
| 1525 | EC_GROUP *NISTP; | |
| 1526 | EC_POINT *G, *P, *Q, *Q_CHECK; | |
| 1527 | ||
| 1528 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", | |
| 1529 | test->degree); | |
| 1530 | ctx = BN_CTX_new(); | |
| 1531 | p = BN_new(); | |
| 1532 | a = BN_new(); | |
| 1533 | b = BN_new(); | |
| 1534 | x = BN_new(); | |
| 1535 | y = BN_new(); | |
| 1536 | m = BN_new(); | |
| 1537 | n = BN_new(); | |
| 1538 | order = BN_new(); | |
| 1539 | ||
| 1540 | NISTP = EC_GROUP_new(test->meth()); | |
| 1541 | if (!NISTP) | |
| 1542 | ABORT; | |
| 1543 | if (!BN_hex2bn(&p, test->p)) | |
| 1544 | ABORT; | |
| 1545 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
| 1546 | ABORT; | |
| 1547 | if (!BN_hex2bn(&a, test->a)) | |
| 1548 | ABORT; | |
| 1549 | if (!BN_hex2bn(&b, test->b)) | |
| 1550 | ABORT; | |
| 1551 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) | |
| 1552 | ABORT; | |
| 1553 | G = EC_POINT_new(NISTP); | |
| 1554 | P = EC_POINT_new(NISTP); | |
| 1555 | Q = EC_POINT_new(NISTP); | |
| 1556 | Q_CHECK = EC_POINT_new(NISTP); | |
| 1557 | if (!BN_hex2bn(&x, test->Qx)) | |
| 1558 | ABORT; | |
| 1559 | if (!BN_hex2bn(&y, test->Qy)) | |
| 1560 | ABORT; | |
| 1561 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) | |
| 1562 | ABORT; | |
| 1563 | if (!BN_hex2bn(&x, test->Gx)) | |
| 1564 | ABORT; | |
| 1565 | if (!BN_hex2bn(&y, test->Gy)) | |
| 1566 | ABORT; | |
| 1567 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) | |
| 1568 | ABORT; | |
| 1569 | if (!BN_hex2bn(&order, test->order)) | |
| 1570 | ABORT; | |
| 1571 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
| 1572 | ABORT; | |
| 1573 | ||
| 1574 | fprintf(stdout, "verify degree ... "); | |
| 1575 | if (EC_GROUP_get_degree(NISTP) != test->degree) | |
| 1576 | ABORT; | |
| 1577 | fprintf(stdout, "ok\n"); | |
| 1578 | ||
| 1579 | fprintf(stdout, "NIST test vectors ... "); | |
| 1580 | if (!BN_hex2bn(&n, test->d)) | |
| 1581 | ABORT; | |
| 1582 | /* fixed point multiplication */ | |
| 1583 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
| 1584 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1585 | ABORT; | |
| 1586 | /* random point multiplication */ | |
| 1587 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
| 1588 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1589 | ABORT; | |
| 1590 | ||
| 1591 | /* set generator to P = 2*G, where G is the standard generator */ | |
| 1592 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) | |
| 1593 | ABORT; | |
| 1594 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
| 1595 | ABORT; | |
| 1596 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
| 1597 | if (!BN_rshift(m, n, 1)) | |
| 1598 | ABORT; | |
| 1599 | ||
| 1600 | /* test the non-standard generator */ | |
| 1601 | /* fixed point multiplication */ | |
| 1602 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
| 1603 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1604 | ABORT; | |
| 1605 | /* random point multiplication */ | |
| 1606 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
| 1607 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1608 | ABORT; | |
| 1609 | ||
| 8ce4e7e6 MC |
1610 | /* |
| 1611 | * We have not performed precomputation so have_precompute mult should be | |
| 1612 | * false | |
| 1613 | */ | |
| 1614 | if (EC_GROUP_have_precompute_mult(NISTP)) | |
| 1615 | ABORT; | |
| 1616 | ||
| 0f113f3e MC |
1617 | /* now repeat all tests with precomputation */ |
| 1618 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) | |
| 1619 | ABORT; | |
| 8ce4e7e6 MC |
1620 | if (!EC_GROUP_have_precompute_mult(NISTP)) |
| 1621 | ABORT; | |
| 0f113f3e MC |
1622 | |
| 1623 | /* fixed point multiplication */ | |
| 1624 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
| 1625 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1626 | ABORT; | |
| 1627 | /* random point multiplication */ | |
| 1628 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
| 1629 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1630 | ABORT; | |
| 1631 | ||
| 1632 | /* reset generator */ | |
| 1633 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
| 1634 | ABORT; | |
| 1635 | /* fixed point multiplication */ | |
| 1636 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
| 1637 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1638 | ABORT; | |
| 1639 | /* random point multiplication */ | |
| 1640 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
| 1641 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
| 1642 | ABORT; | |
| 1643 | ||
| 1644 | fprintf(stdout, "ok\n"); | |
| 1645 | group_order_tests(NISTP); | |
| 0f113f3e MC |
1646 | EC_GROUP_free(NISTP); |
| 1647 | EC_POINT_free(G); | |
| 1648 | EC_POINT_free(P); | |
| 1649 | EC_POINT_free(Q); | |
| 1650 | EC_POINT_free(Q_CHECK); | |
| 1651 | BN_free(n); | |
| 1652 | BN_free(m); | |
| 1653 | BN_free(p); | |
| 1654 | BN_free(a); | |
| 1655 | BN_free(b); | |
| 1656 | BN_free(x); | |
| 1657 | BN_free(y); | |
| 1658 | BN_free(order); | |
| 1659 | BN_CTX_free(ctx); | |
| 1660 | } | |
| 3e00b4c9 | 1661 | |
| b597aab8 | 1662 | static void nistp_tests() |
| 0f113f3e MC |
1663 | { |
| 1664 | unsigned i; | |
| 04daec86 | 1665 | |
| bdcb1a2c | 1666 | for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) { |
| 0f113f3e MC |
1667 | nistp_single_test(&nistp_tests_params[i]); |
| 1668 | } | |
| 1669 | } | |
| 1670 | # endif | |
| 7793f30e | 1671 | |
| 0f113f3e MC |
1672 | static const char rnd_seed[] = |
| 1673 | "string to make the random number generator think it has entropy"; | |
| 7793f30e | 1674 | |
| 0f113f3e MC |
1675 | int main(int argc, char *argv[]) |
| 1676 | { | |
| bbd86bf5 | 1677 | char *p; |
| 0f113f3e | 1678 | |
| bbd86bf5 RS |
1679 | p = getenv("OPENSSL_DEBUG_MEMORY"); |
| 1680 | if (p != NULL && strcmp(p, "on") == 0) | |
| 1681 | CRYPTO_set_mem_debug(1); | |
| 0f113f3e | 1682 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); |
| 0f113f3e MC |
1683 | |
| 1684 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ | |
| 1685 | ||
| 1686 | prime_field_tests(); | |
| 1687 | puts(""); | |
| 1688 | # ifndef OPENSSL_NO_EC2M | |
| 1689 | char2_field_tests(); | |
| 1690 | # endif | |
| 1691 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
| 1692 | nistp_tests(); | |
| 1693 | # endif | |
| 1694 | /* test the internal curves */ | |
| 1695 | internal_curve_test(); | |
| 1696 | ||
| c2e27310 | 1697 | #ifndef OPENSSL_NO_CRYPTO_MDEBUG |
| 541e9565 DSH |
1698 | if (CRYPTO_mem_leaks_fp(stderr) <= 0) |
| 1699 | return 1; | |
| bbd86bf5 | 1700 | #endif |
| 0f113f3e MC |
1701 | |
| 1702 | return 0; | |
| 1703 | } | |
| bb62a8b0 | 1704 | #endif |