Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1 | /* crypto/ec/ectest.c */ |
| 2 | /* |
| 3 | * Originally written by Bodo Moeller for the OpenSSL project. |
| 4 | */ |
| 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 | */ |
| 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 | * |
| 67 | * The elliptic curve binary polynomial software is originally written by |
| 68 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. |
| 69 | * |
| 70 | */ |
| 71 | |
| 72 | #include <stdio.h> |
| 73 | #include <stdlib.h> |
| 74 | #ifdef FLAT_INC |
| 75 | #include "e_os.h" |
| 76 | #else |
| 77 | #include "../e_os.h" |
| 78 | #endif |
| 79 | #include <string.h> |
| 80 | #include <time.h> |
| 81 | |
| 82 | |
| 83 | #ifdef OPENSSL_NO_EC |
| 84 | int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } |
| 85 | #else |
| 86 | |
| 87 | |
| 88 | #include <openssl/ec.h> |
| 89 | #ifndef OPENSSL_NO_ENGINE |
| 90 | #include <openssl/engine.h> |
| 91 | #endif |
| 92 | #include <openssl/err.h> |
| 93 | #include <openssl/obj_mac.h> |
| 94 | #include <openssl/objects.h> |
| 95 | #include <openssl/rand.h> |
| 96 | #include <openssl/bn.h> |
| 97 | #include <openssl/opensslconf.h> |
| 98 | |
| 99 | #if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) |
| 100 | /* suppress "too big too optimize" warning */ |
| 101 | #pragma warning(disable:4959) |
| 102 | #endif |
| 103 | |
| 104 | #define ABORT do { \ |
| 105 | fflush(stdout); \ |
| 106 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ |
| 107 | ERR_print_errors_fp(stderr); \ |
| 108 | EXIT(1); \ |
| 109 | } while (0) |
| 110 | |
| 111 | #define TIMING_BASE_PT 0 |
| 112 | #define TIMING_RAND_PT 1 |
| 113 | #define TIMING_SIMUL 2 |
| 114 | |
| 115 | #if 0 |
| 116 | static void timings(EC_GROUP *group, int type, BN_CTX *ctx) |
| 117 | { |
| 118 | clock_t clck; |
| 119 | int i, j; |
| 120 | BIGNUM *s; |
| 121 | BIGNUM *r[10], *r0[10]; |
| 122 | EC_POINT *P; |
| 123 | |
| 124 | s = BN_new(); |
| 125 | if (s == NULL) ABORT; |
| 126 | |
| 127 | fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); |
| 128 | if (!EC_GROUP_get_order(group, s, ctx)) ABORT; |
| 129 | fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); |
| 130 | fflush(stdout); |
| 131 | |
| 132 | P = EC_POINT_new(group); |
| 133 | if (P == NULL) ABORT; |
| 134 | EC_POINT_copy(P, EC_GROUP_get0_generator(group)); |
| 135 | |
| 136 | for (i = 0; i < 10; i++) |
| 137 | { |
| 138 | if ((r[i] = BN_new()) == NULL) ABORT; |
| 139 | if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; |
| 140 | if (type != TIMING_BASE_PT) |
| 141 | { |
| 142 | if ((r0[i] = BN_new()) == NULL) ABORT; |
| 143 | if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; |
| 144 | } |
| 145 | } |
| 146 | |
| 147 | clck = clock(); |
| 148 | for (i = 0; i < 10; i++) |
| 149 | { |
| 150 | for (j = 0; j < 10; j++) |
| 151 | { |
| 152 | if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, |
| 153 | (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT; |
| 154 | } |
| 155 | } |
| 156 | clck = clock() - clck; |
| 157 | |
| 158 | fprintf(stdout, "\n"); |
| 159 | |
| 160 | #ifdef CLOCKS_PER_SEC |
| 161 | /* "To determine the time in seconds, the value returned |
| 162 | * by the clock function should be divided by the value |
| 163 | * of the macro CLOCKS_PER_SEC." |
| 164 | * -- ISO/IEC 9899 */ |
| 165 | # define UNIT "s" |
| 166 | #else |
| 167 | /* "`CLOCKS_PER_SEC' undeclared (first use this function)" |
| 168 | * -- cc on NeXTstep/OpenStep */ |
| 169 | # define UNIT "units" |
| 170 | # define CLOCKS_PER_SEC 1 |
| 171 | #endif |
| 172 | |
| 173 | if (type == TIMING_BASE_PT) { |
| 174 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 175 | "base point multiplications", (double)clck/CLOCKS_PER_SEC); |
| 176 | } else if (type == TIMING_RAND_PT) { |
| 177 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 178 | "random point multiplications", (double)clck/CLOCKS_PER_SEC); |
| 179 | } else if (type == TIMING_SIMUL) { |
| 180 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 181 | "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC); |
| 182 | } |
| 183 | fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); |
| 184 | |
| 185 | EC_POINT_free(P); |
| 186 | BN_free(s); |
| 187 | for (i = 0; i < 10; i++) |
| 188 | { |
| 189 | BN_free(r[i]); |
| 190 | if (type != TIMING_BASE_PT) BN_free(r0[i]); |
| 191 | } |
| 192 | } |
| 193 | #endif |
| 194 | |
| 195 | /* test multiplication with group order, long and negative scalars */ |
| 196 | static void group_order_tests(EC_GROUP *group) |
| 197 | { |
| 198 | BIGNUM *n1, *n2, *order; |
| 199 | EC_POINT *P = EC_POINT_new(group); |
| 200 | EC_POINT *Q = EC_POINT_new(group); |
| 201 | BN_CTX *ctx = BN_CTX_new(); |
| 202 | |
| 203 | n1 = BN_new(); n2 = BN_new(); order = BN_new(); |
| 204 | fprintf(stdout, "verify group order ..."); |
| 205 | fflush(stdout); |
| 206 | if (!EC_GROUP_get_order(group, order, ctx)) ABORT; |
| 207 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; |
| 208 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 209 | fprintf(stdout, "."); |
| 210 | fflush(stdout); |
| 211 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 212 | if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; |
| 213 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 214 | fprintf(stdout, " ok\n"); |
| 215 | fprintf(stdout, "long/negative scalar tests ... "); |
| 216 | if (!BN_one(n1)) ABORT; |
| 217 | /* n1 = 1 - order */ |
| 218 | if (!BN_sub(n1, n1, order)) ABORT; |
| 219 | if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT; |
| 220 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; |
| 221 | /* n2 = 1 + order */ |
| 222 | if (!BN_add(n2, order, BN_value_one())) ABORT; |
| 223 | if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; |
| 224 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; |
| 225 | /* n2 = (1 - order) * (1 + order) */ |
| 226 | if (!BN_mul(n2, n1, n2, ctx)) ABORT; |
| 227 | if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; |
| 228 | if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; |
| 229 | fprintf(stdout, "ok\n"); |
| 230 | EC_POINT_free(P); |
| 231 | EC_POINT_free(Q); |
| 232 | BN_free(n1); |
| 233 | BN_free(n2); |
| 234 | BN_free(order); |
| 235 | BN_CTX_free(ctx); |
| 236 | } |
| 237 | |
| 238 | static void prime_field_tests(void) |
| 239 | { |
| 240 | BN_CTX *ctx = NULL; |
| 241 | BIGNUM *p, *a, *b; |
| 242 | EC_GROUP *group; |
| 243 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; |
| 244 | EC_POINT *P, *Q, *R; |
| 245 | BIGNUM *x, *y, *z; |
| 246 | unsigned char buf[100]; |
| 247 | size_t i, len; |
| 248 | int k; |
| 249 | |
| 250 | #if 1 /* optional */ |
| 251 | ctx = BN_CTX_new(); |
| 252 | if (!ctx) ABORT; |
| 253 | #endif |
| 254 | |
| 255 | p = BN_new(); |
| 256 | a = BN_new(); |
| 257 | b = BN_new(); |
| 258 | if (!p || !a || !b) ABORT; |
| 259 | |
| 260 | if (!BN_hex2bn(&p, "17")) ABORT; |
| 261 | if (!BN_hex2bn(&a, "1")) ABORT; |
| 262 | if (!BN_hex2bn(&b, "1")) ABORT; |
| 263 | |
| 264 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp |
| 265 | * so that the library gets to choose the EC_METHOD */ |
| 266 | if (!group) ABORT; |
| 267 | |
| 268 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 269 | |
| 270 | { |
| 271 | EC_GROUP *tmp; |
| 272 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); |
| 273 | if (!tmp) ABORT; |
| 274 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
| 275 | EC_GROUP_free(group); |
| 276 | group = tmp; |
| 277 | } |
| 278 | |
| 279 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 280 | |
| 281 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); |
| 282 | BN_print_fp(stdout, p); |
| 283 | fprintf(stdout, ")\n a = 0x"); |
| 284 | BN_print_fp(stdout, a); |
| 285 | fprintf(stdout, "\n b = 0x"); |
| 286 | BN_print_fp(stdout, b); |
| 287 | fprintf(stdout, "\n"); |
| 288 | |
| 289 | P = EC_POINT_new(group); |
| 290 | Q = EC_POINT_new(group); |
| 291 | R = EC_POINT_new(group); |
| 292 | if (!P || !Q || !R) ABORT; |
| 293 | |
| 294 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; |
| 295 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 296 | |
| 297 | buf[0] = 0; |
| 298 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; |
| 299 | |
| 300 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 301 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 302 | |
| 303 | x = BN_new(); |
| 304 | y = BN_new(); |
| 305 | z = BN_new(); |
| 306 | if (!x || !y || !z) ABORT; |
| 307 | |
| 308 | if (!BN_hex2bn(&x, "D")) ABORT; |
| 309 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; |
| 310 | if (!EC_POINT_is_on_curve(group, Q, ctx)) |
| 311 | { |
| 312 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; |
| 313 | fprintf(stderr, "Point is not on curve: x = 0x"); |
| 314 | BN_print_fp(stderr, x); |
| 315 | fprintf(stderr, ", y = 0x"); |
| 316 | BN_print_fp(stderr, y); |
| 317 | fprintf(stderr, "\n"); |
| 318 | ABORT; |
| 319 | } |
| 320 | |
| 321 | fprintf(stdout, "A cyclic subgroup:\n"); |
| 322 | k = 100; |
| 323 | do |
| 324 | { |
| 325 | if (k-- == 0) ABORT; |
| 326 | |
| 327 | if (EC_POINT_is_at_infinity(group, P)) |
| 328 | fprintf(stdout, " point at infinity\n"); |
| 329 | else |
| 330 | { |
| 331 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 332 | |
| 333 | fprintf(stdout, " x = 0x"); |
| 334 | BN_print_fp(stdout, x); |
| 335 | fprintf(stdout, ", y = 0x"); |
| 336 | BN_print_fp(stdout, y); |
| 337 | fprintf(stdout, "\n"); |
| 338 | } |
| 339 | |
| 340 | if (!EC_POINT_copy(R, P)) ABORT; |
| 341 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 342 | |
| 343 | #if 0 /* optional */ |
| 344 | { |
| 345 | EC_POINT *points[3]; |
| 346 | |
| 347 | points[0] = R; |
| 348 | points[1] = Q; |
| 349 | points[2] = P; |
| 350 | if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; |
| 351 | } |
| 352 | #endif |
| 353 | |
| 354 | } |
| 355 | while (!EC_POINT_is_at_infinity(group, P)); |
| 356 | |
| 357 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; |
| 358 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 359 | |
| 360 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
| 361 | if (len == 0) ABORT; |
| 362 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 363 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 364 | fprintf(stdout, "Generator as octet string, compressed form:\n "); |
| 365 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 366 | |
| 367 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); |
| 368 | if (len == 0) ABORT; |
| 369 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 370 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 371 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); |
| 372 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 373 | |
| 374 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); |
| 375 | if (len == 0) ABORT; |
| 376 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 377 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 378 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); |
| 379 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 380 | |
| 381 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; |
| 382 | fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); |
| 383 | BN_print_fp(stdout, x); |
| 384 | fprintf(stdout, ", Y = 0x"); |
| 385 | BN_print_fp(stdout, y); |
| 386 | fprintf(stdout, ", Z = 0x"); |
| 387 | BN_print_fp(stdout, z); |
| 388 | fprintf(stdout, "\n"); |
| 389 | |
| 390 | if (!EC_POINT_invert(group, P, ctx)) ABORT; |
| 391 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 392 | |
| 393 | |
| 394 | /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) |
| 395 | * -- not a NIST curve, but commonly used */ |
| 396 | |
| 397 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; |
| 398 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 399 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; |
| 400 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; |
| 401 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 402 | |
| 403 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; |
| 404 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; |
| 405 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 406 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 407 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; |
| 408 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 409 | |
| 410 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 411 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); |
| 412 | BN_print_fp(stdout, x); |
| 413 | fprintf(stdout, "\n y = 0x"); |
| 414 | BN_print_fp(stdout, y); |
| 415 | fprintf(stdout, "\n"); |
| 416 | /* G_y value taken from the standard: */ |
| 417 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; |
| 418 | if (0 != BN_cmp(y, z)) ABORT; |
| 419 | |
| 420 | fprintf(stdout, "verify degree ..."); |
| 421 | if (EC_GROUP_get_degree(group) != 160) ABORT; |
| 422 | fprintf(stdout, " ok\n"); |
| 423 | |
| 424 | group_order_tests(group); |
| 425 | |
| 426 | if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 427 | if (!EC_GROUP_copy(P_160, group)) ABORT; |
| 428 | |
| 429 | |
| 430 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ |
| 431 | |
| 432 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; |
| 433 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 434 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; |
| 435 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; |
| 436 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 437 | |
| 438 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; |
| 439 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; |
| 440 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 441 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; |
| 442 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 443 | |
| 444 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 445 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); |
| 446 | BN_print_fp(stdout, x); |
| 447 | fprintf(stdout, "\n y = 0x"); |
| 448 | BN_print_fp(stdout, y); |
| 449 | fprintf(stdout, "\n"); |
| 450 | /* G_y value taken from the standard: */ |
| 451 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; |
| 452 | if (0 != BN_cmp(y, z)) ABORT; |
| 453 | |
| 454 | fprintf(stdout, "verify degree ..."); |
| 455 | if (EC_GROUP_get_degree(group) != 192) ABORT; |
| 456 | fprintf(stdout, " ok\n"); |
| 457 | |
| 458 | group_order_tests(group); |
| 459 | |
| 460 | if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 461 | if (!EC_GROUP_copy(P_192, group)) ABORT; |
| 462 | |
| 463 | |
| 464 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ |
| 465 | |
| 466 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; |
| 467 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 468 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; |
| 469 | if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; |
| 470 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 471 | |
| 472 | if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; |
| 473 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; |
| 474 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 475 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; |
| 476 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 477 | |
| 478 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 479 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); |
| 480 | BN_print_fp(stdout, x); |
| 481 | fprintf(stdout, "\n y = 0x"); |
| 482 | BN_print_fp(stdout, y); |
| 483 | fprintf(stdout, "\n"); |
| 484 | /* G_y value taken from the standard: */ |
| 485 | if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; |
| 486 | if (0 != BN_cmp(y, z)) ABORT; |
| 487 | |
| 488 | fprintf(stdout, "verify degree ..."); |
| 489 | if (EC_GROUP_get_degree(group) != 224) ABORT; |
| 490 | fprintf(stdout, " ok\n"); |
| 491 | |
| 492 | group_order_tests(group); |
| 493 | |
| 494 | if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 495 | if (!EC_GROUP_copy(P_224, group)) ABORT; |
| 496 | |
| 497 | |
| 498 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ |
| 499 | |
| 500 | if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; |
| 501 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 502 | if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
| 503 | if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; |
| 504 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 505 | |
| 506 | if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; |
| 507 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; |
| 508 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 509 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" |
| 510 | "84F3B9CAC2FC632551")) ABORT; |
| 511 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 512 | |
| 513 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 514 | fprintf(stdout, "\nNIST curve P-256 -- 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, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; |
| 521 | if (0 != BN_cmp(y, z)) ABORT; |
| 522 | |
| 523 | fprintf(stdout, "verify degree ..."); |
| 524 | if (EC_GROUP_get_degree(group) != 256) ABORT; |
| 525 | fprintf(stdout, " ok\n"); |
| 526 | |
| 527 | group_order_tests(group); |
| 528 | |
| 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; |
| 537 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 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 | |
| 563 | fprintf(stdout, "verify degree ..."); |
| 564 | if (EC_GROUP_get_degree(group) != 384) ABORT; |
| 565 | fprintf(stdout, " ok\n"); |
| 566 | |
| 567 | group_order_tests(group); |
| 568 | |
| 569 | if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 570 | if (!EC_GROUP_copy(P_384, group)) ABORT; |
| 571 | |
| 572 | |
| 573 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ |
| 574 | |
| 575 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 576 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 577 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; |
| 578 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 579 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 580 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 581 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
| 582 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" |
| 583 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" |
| 584 | "DF883D2C34F1EF451FD46B503F00")) ABORT; |
| 585 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 586 | |
| 587 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" |
| 588 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" |
| 589 | "3C1856A429BF97E7E31C2E5BD66")) ABORT; |
| 590 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; |
| 591 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 592 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 593 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" |
| 594 | "C9B8899C47AEBB6FB71E91386409")) ABORT; |
| 595 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 596 | |
| 597 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 598 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); |
| 599 | BN_print_fp(stdout, x); |
| 600 | fprintf(stdout, "\n y = 0x"); |
| 601 | BN_print_fp(stdout, y); |
| 602 | fprintf(stdout, "\n"); |
| 603 | /* G_y value taken from the standard: */ |
| 604 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" |
| 605 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" |
| 606 | "7086A272C24088BE94769FD16650")) ABORT; |
| 607 | if (0 != BN_cmp(y, z)) ABORT; |
| 608 | |
| 609 | fprintf(stdout, "verify degree ..."); |
| 610 | if (EC_GROUP_get_degree(group) != 521) ABORT; |
| 611 | fprintf(stdout, " ok\n"); |
| 612 | |
| 613 | group_order_tests(group); |
| 614 | |
| 615 | if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 616 | if (!EC_GROUP_copy(P_521, group)) ABORT; |
| 617 | |
| 618 | |
| 619 | /* more tests using the last curve */ |
| 620 | |
| 621 | if (!EC_POINT_copy(Q, P)) ABORT; |
| 622 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 623 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; |
| 624 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 625 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ |
| 626 | |
| 627 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; |
| 628 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; |
| 629 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ |
| 630 | |
| 631 | { |
| 632 | const EC_POINT *points[4]; |
| 633 | const BIGNUM *scalars[4]; |
| 634 | BIGNUM scalar3; |
| 635 | |
| 636 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 637 | points[0] = Q; |
| 638 | points[1] = Q; |
| 639 | points[2] = Q; |
| 640 | points[3] = Q; |
| 641 | |
| 642 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 643 | if (!BN_add(y, z, BN_value_one())) ABORT; |
| 644 | if (BN_is_odd(y)) ABORT; |
| 645 | if (!BN_rshift1(y, y)) ABORT; |
| 646 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
| 647 | scalars[1] = y; |
| 648 | |
| 649 | fprintf(stdout, "combined multiplication ..."); |
| 650 | fflush(stdout); |
| 651 | |
| 652 | /* z is still the group order */ |
| 653 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 654 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; |
| 655 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 656 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; |
| 657 | |
| 658 | fprintf(stdout, "."); |
| 659 | fflush(stdout); |
| 660 | |
| 661 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; |
| 662 | if (!BN_add(z, z, y)) ABORT; |
| 663 | BN_set_negative(z, 1); |
| 664 | scalars[0] = y; |
| 665 | scalars[1] = z; /* z = -(order + y) */ |
| 666 | |
| 667 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 668 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 669 | |
| 670 | fprintf(stdout, "."); |
| 671 | fflush(stdout); |
| 672 | |
| 673 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; |
| 674 | if (!BN_add(z, x, y)) ABORT; |
| 675 | BN_set_negative(z, 1); |
| 676 | scalars[0] = x; |
| 677 | scalars[1] = y; |
| 678 | scalars[2] = z; /* z = -(x+y) */ |
| 679 | |
| 680 | BN_init(&scalar3); |
| 681 | BN_zero(&scalar3); |
| 682 | scalars[3] = &scalar3; |
| 683 | |
| 684 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; |
| 685 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 686 | |
| 687 | fprintf(stdout, " ok\n\n"); |
| 688 | |
| 689 | BN_free(&scalar3); |
| 690 | } |
| 691 | |
| 692 | |
| 693 | #if 0 |
| 694 | timings(P_160, TIMING_BASE_PT, ctx); |
| 695 | timings(P_160, TIMING_RAND_PT, ctx); |
| 696 | timings(P_160, TIMING_SIMUL, ctx); |
| 697 | timings(P_192, TIMING_BASE_PT, ctx); |
| 698 | timings(P_192, TIMING_RAND_PT, ctx); |
| 699 | timings(P_192, TIMING_SIMUL, ctx); |
| 700 | timings(P_224, TIMING_BASE_PT, ctx); |
| 701 | timings(P_224, TIMING_RAND_PT, ctx); |
| 702 | timings(P_224, TIMING_SIMUL, ctx); |
| 703 | timings(P_256, TIMING_BASE_PT, ctx); |
| 704 | timings(P_256, TIMING_RAND_PT, ctx); |
| 705 | timings(P_256, TIMING_SIMUL, ctx); |
| 706 | timings(P_384, TIMING_BASE_PT, ctx); |
| 707 | timings(P_384, TIMING_RAND_PT, ctx); |
| 708 | timings(P_384, TIMING_SIMUL, ctx); |
| 709 | timings(P_521, TIMING_BASE_PT, ctx); |
| 710 | timings(P_521, TIMING_RAND_PT, ctx); |
| 711 | timings(P_521, TIMING_SIMUL, ctx); |
| 712 | #endif |
| 713 | |
| 714 | |
| 715 | if (ctx) |
| 716 | BN_CTX_free(ctx); |
| 717 | BN_free(p); BN_free(a); BN_free(b); |
| 718 | EC_GROUP_free(group); |
| 719 | EC_POINT_free(P); |
| 720 | EC_POINT_free(Q); |
| 721 | EC_POINT_free(R); |
| 722 | BN_free(x); BN_free(y); BN_free(z); |
| 723 | |
| 724 | if (P_160) EC_GROUP_free(P_160); |
| 725 | if (P_192) EC_GROUP_free(P_192); |
| 726 | if (P_224) EC_GROUP_free(P_224); |
| 727 | if (P_256) EC_GROUP_free(P_256); |
| 728 | if (P_384) EC_GROUP_free(P_384); |
| 729 | if (P_521) EC_GROUP_free(P_521); |
| 730 | |
| 731 | } |
| 732 | |
| 733 | /* Change test based on whether binary point compression is enabled or not. */ |
| 734 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 735 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 736 | if (!BN_hex2bn(&x, _x)) ABORT; \ |
| 737 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ |
| 738 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ |
| 739 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 740 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ |
| 741 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ |
| 742 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ |
| 743 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ |
| 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, _y)) ABORT; \ |
| 750 | if (0 != BN_cmp(y, z)) ABORT; |
| 751 | #else |
| 752 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 753 | if (!BN_hex2bn(&x, _x)) ABORT; \ |
| 754 | if (!BN_hex2bn(&y, _y)) ABORT; \ |
| 755 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ |
| 756 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ |
| 757 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 758 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ |
| 759 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ |
| 760 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ |
| 761 | BN_print_fp(stdout, x); \ |
| 762 | fprintf(stdout, "\n y = 0x"); \ |
| 763 | BN_print_fp(stdout, y); \ |
| 764 | fprintf(stdout, "\n"); |
| 765 | #endif |
| 766 | |
| 767 | #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 768 | if (!BN_hex2bn(&p, _p)) ABORT; \ |
| 769 | if (!BN_hex2bn(&a, _a)) ABORT; \ |
| 770 | if (!BN_hex2bn(&b, _b)) ABORT; \ |
| 771 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ |
| 772 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 773 | fprintf(stdout, "verify degree ..."); \ |
| 774 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ |
| 775 | fprintf(stdout, " ok\n"); \ |
| 776 | group_order_tests(group); \ |
| 777 | if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ |
| 778 | if (!EC_GROUP_copy(_variable, group)) ABORT; \ |
| 779 | |
| 780 | #ifndef OPENSSL_NO_EC2M |
| 781 | |
| 782 | static void char2_field_tests(void) |
| 783 | { |
| 784 | BN_CTX *ctx = NULL; |
| 785 | BIGNUM *p, *a, *b; |
| 786 | EC_GROUP *group; |
| 787 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; |
| 788 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; |
| 789 | EC_POINT *P, *Q, *R; |
| 790 | BIGNUM *x, *y, *z, *cof; |
| 791 | unsigned char buf[100]; |
| 792 | size_t i, len; |
| 793 | int k; |
| 794 | |
| 795 | #if 1 /* optional */ |
| 796 | ctx = BN_CTX_new(); |
| 797 | if (!ctx) ABORT; |
| 798 | #endif |
| 799 | |
| 800 | p = BN_new(); |
| 801 | a = BN_new(); |
| 802 | b = BN_new(); |
| 803 | if (!p || !a || !b) ABORT; |
| 804 | |
| 805 | if (!BN_hex2bn(&p, "13")) ABORT; |
| 806 | if (!BN_hex2bn(&a, "3")) ABORT; |
| 807 | if (!BN_hex2bn(&b, "1")) ABORT; |
| 808 | |
| 809 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m |
| 810 | * so that the library gets to choose the EC_METHOD */ |
| 811 | if (!group) ABORT; |
| 812 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; |
| 813 | |
| 814 | { |
| 815 | EC_GROUP *tmp; |
| 816 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); |
| 817 | if (!tmp) ABORT; |
| 818 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
| 819 | EC_GROUP_free(group); |
| 820 | group = tmp; |
| 821 | } |
| 822 | |
| 823 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; |
| 824 | |
| 825 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); |
| 826 | BN_print_fp(stdout, p); |
| 827 | fprintf(stdout, ")\n a = 0x"); |
| 828 | BN_print_fp(stdout, a); |
| 829 | fprintf(stdout, "\n b = 0x"); |
| 830 | BN_print_fp(stdout, b); |
| 831 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); |
| 832 | |
| 833 | P = EC_POINT_new(group); |
| 834 | Q = EC_POINT_new(group); |
| 835 | R = EC_POINT_new(group); |
| 836 | if (!P || !Q || !R) ABORT; |
| 837 | |
| 838 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; |
| 839 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 840 | |
| 841 | buf[0] = 0; |
| 842 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; |
| 843 | |
| 844 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 845 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 846 | |
| 847 | x = BN_new(); |
| 848 | y = BN_new(); |
| 849 | z = BN_new(); |
| 850 | cof = BN_new(); |
| 851 | if (!x || !y || !z || !cof) ABORT; |
| 852 | |
| 853 | if (!BN_hex2bn(&x, "6")) ABORT; |
| 854 | /* Change test based on whether binary point compression is enabled or not. */ |
| 855 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 856 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; |
| 857 | #else |
| 858 | if (!BN_hex2bn(&y, "8")) ABORT; |
| 859 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; |
| 860 | #endif |
| 861 | if (!EC_POINT_is_on_curve(group, Q, ctx)) |
| 862 | { |
| 863 | /* Change test based on whether binary point compression is enabled or not. */ |
| 864 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 865 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; |
| 866 | #endif |
| 867 | fprintf(stderr, "Point is not on curve: x = 0x"); |
| 868 | BN_print_fp(stderr, x); |
| 869 | fprintf(stderr, ", y = 0x"); |
| 870 | BN_print_fp(stderr, y); |
| 871 | fprintf(stderr, "\n"); |
| 872 | ABORT; |
| 873 | } |
| 874 | |
| 875 | fprintf(stdout, "A cyclic subgroup:\n"); |
| 876 | k = 100; |
| 877 | do |
| 878 | { |
| 879 | if (k-- == 0) ABORT; |
| 880 | |
| 881 | if (EC_POINT_is_at_infinity(group, P)) |
| 882 | fprintf(stdout, " point at infinity\n"); |
| 883 | else |
| 884 | { |
| 885 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; |
| 886 | |
| 887 | fprintf(stdout, " x = 0x"); |
| 888 | BN_print_fp(stdout, x); |
| 889 | fprintf(stdout, ", y = 0x"); |
| 890 | BN_print_fp(stdout, y); |
| 891 | fprintf(stdout, "\n"); |
| 892 | } |
| 893 | |
| 894 | if (!EC_POINT_copy(R, P)) ABORT; |
| 895 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 896 | } |
| 897 | while (!EC_POINT_is_at_infinity(group, P)); |
| 898 | |
| 899 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; |
| 900 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 901 | |
| 902 | /* Change test based on whether binary point compression is enabled or not. */ |
| 903 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 904 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
| 905 | if (len == 0) ABORT; |
| 906 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 907 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 908 | fprintf(stdout, "Generator as octet string, compressed form:\n "); |
| 909 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 910 | #endif |
| 911 | |
| 912 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); |
| 913 | if (len == 0) ABORT; |
| 914 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 915 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 916 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); |
| 917 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 918 | |
| 919 | /* Change test based on whether binary point compression is enabled or not. */ |
| 920 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 921 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); |
| 922 | if (len == 0) ABORT; |
| 923 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 924 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 925 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); |
| 926 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 927 | #endif |
| 928 | |
| 929 | fprintf(stdout, "\n"); |
| 930 | |
| 931 | if (!EC_POINT_invert(group, P, ctx)) ABORT; |
| 932 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 933 | |
| 934 | |
| 935 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ |
| 936 | CHAR2_CURVE_TEST |
| 937 | ( |
| 938 | "NIST curve K-163", |
| 939 | "0800000000000000000000000000000000000000C9", |
| 940 | "1", |
| 941 | "1", |
| 942 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", |
| 943 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", |
| 944 | 1, |
| 945 | "04000000000000000000020108A2E0CC0D99F8A5EF", |
| 946 | "2", |
| 947 | 163, |
| 948 | C2_K163 |
| 949 | ); |
| 950 | |
| 951 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ |
| 952 | CHAR2_CURVE_TEST |
| 953 | ( |
| 954 | "NIST curve B-163", |
| 955 | "0800000000000000000000000000000000000000C9", |
| 956 | "1", |
| 957 | "020A601907B8C953CA1481EB10512F78744A3205FD", |
| 958 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", |
| 959 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", |
| 960 | 1, |
| 961 | "040000000000000000000292FE77E70C12A4234C33", |
| 962 | "2", |
| 963 | 163, |
| 964 | C2_B163 |
| 965 | ); |
| 966 | |
| 967 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ |
| 968 | CHAR2_CURVE_TEST |
| 969 | ( |
| 970 | "NIST curve K-233", |
| 971 | "020000000000000000000000000000000000000004000000000000000001", |
| 972 | "0", |
| 973 | "1", |
| 974 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", |
| 975 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", |
| 976 | 0, |
| 977 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", |
| 978 | "4", |
| 979 | 233, |
| 980 | C2_K233 |
| 981 | ); |
| 982 | |
| 983 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ |
| 984 | CHAR2_CURVE_TEST |
| 985 | ( |
| 986 | "NIST curve B-233", |
| 987 | "020000000000000000000000000000000000000004000000000000000001", |
| 988 | "000000000000000000000000000000000000000000000000000000000001", |
| 989 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", |
| 990 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", |
| 991 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", |
| 992 | 1, |
| 993 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", |
| 994 | "2", |
| 995 | 233, |
| 996 | C2_B233 |
| 997 | ); |
| 998 | |
| 999 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ |
| 1000 | CHAR2_CURVE_TEST |
| 1001 | ( |
| 1002 | "NIST curve K-283", |
| 1003 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", |
| 1004 | "0", |
| 1005 | "1", |
| 1006 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", |
| 1007 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", |
| 1008 | 0, |
| 1009 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", |
| 1010 | "4", |
| 1011 | 283, |
| 1012 | C2_K283 |
| 1013 | ); |
| 1014 | |
| 1015 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ |
| 1016 | CHAR2_CURVE_TEST |
| 1017 | ( |
| 1018 | "NIST curve B-283", |
| 1019 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", |
| 1020 | "000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1021 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", |
| 1022 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", |
| 1023 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", |
| 1024 | 1, |
| 1025 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", |
| 1026 | "2", |
| 1027 | 283, |
| 1028 | C2_B283 |
| 1029 | ); |
| 1030 | |
| 1031 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ |
| 1032 | CHAR2_CURVE_TEST |
| 1033 | ( |
| 1034 | "NIST curve K-409", |
| 1035 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", |
| 1036 | "0", |
| 1037 | "1", |
| 1038 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", |
| 1039 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", |
| 1040 | 1, |
| 1041 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", |
| 1042 | "4", |
| 1043 | 409, |
| 1044 | C2_K409 |
| 1045 | ); |
| 1046 | |
| 1047 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ |
| 1048 | CHAR2_CURVE_TEST |
| 1049 | ( |
| 1050 | "NIST curve B-409", |
| 1051 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", |
| 1052 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1053 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", |
| 1054 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", |
| 1055 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", |
| 1056 | 1, |
| 1057 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", |
| 1058 | "2", |
| 1059 | 409, |
| 1060 | C2_B409 |
| 1061 | ); |
| 1062 | |
| 1063 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ |
| 1064 | CHAR2_CURVE_TEST |
| 1065 | ( |
| 1066 | "NIST curve K-571", |
| 1067 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", |
| 1068 | "0", |
| 1069 | "1", |
| 1070 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", |
| 1071 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", |
| 1072 | 0, |
| 1073 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", |
| 1074 | "4", |
| 1075 | 571, |
| 1076 | C2_K571 |
| 1077 | ); |
| 1078 | |
| 1079 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ |
| 1080 | CHAR2_CURVE_TEST |
| 1081 | ( |
| 1082 | "NIST curve B-571", |
| 1083 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", |
| 1084 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1085 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", |
| 1086 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", |
| 1087 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", |
| 1088 | 1, |
| 1089 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", |
| 1090 | "2", |
| 1091 | 571, |
| 1092 | C2_B571 |
| 1093 | ); |
| 1094 | |
| 1095 | /* more tests using the last curve */ |
| 1096 | |
| 1097 | if (!EC_POINT_copy(Q, P)) ABORT; |
| 1098 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 1099 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; |
| 1100 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 1101 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ |
| 1102 | |
| 1103 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; |
| 1104 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; |
| 1105 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ |
| 1106 | |
| 1107 | { |
| 1108 | const EC_POINT *points[3]; |
| 1109 | const BIGNUM *scalars[3]; |
| 1110 | |
| 1111 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 1112 | points[0] = Q; |
| 1113 | points[1] = Q; |
| 1114 | points[2] = Q; |
| 1115 | |
| 1116 | if (!BN_add(y, z, BN_value_one())) ABORT; |
| 1117 | if (BN_is_odd(y)) ABORT; |
| 1118 | if (!BN_rshift1(y, y)) ABORT; |
| 1119 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
| 1120 | scalars[1] = y; |
| 1121 | |
| 1122 | fprintf(stdout, "combined multiplication ..."); |
| 1123 | fflush(stdout); |
| 1124 | |
| 1125 | /* z is still the group order */ |
| 1126 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 1127 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; |
| 1128 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 1129 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; |
| 1130 | |
| 1131 | fprintf(stdout, "."); |
| 1132 | fflush(stdout); |
| 1133 | |
| 1134 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; |
| 1135 | if (!BN_add(z, z, y)) ABORT; |
| 1136 | BN_set_negative(z, 1); |
| 1137 | scalars[0] = y; |
| 1138 | scalars[1] = z; /* z = -(order + y) */ |
| 1139 | |
| 1140 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 1141 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 1142 | |
| 1143 | fprintf(stdout, "."); |
| 1144 | fflush(stdout); |
| 1145 | |
| 1146 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; |
| 1147 | if (!BN_add(z, x, y)) ABORT; |
| 1148 | BN_set_negative(z, 1); |
| 1149 | scalars[0] = x; |
| 1150 | scalars[1] = y; |
| 1151 | scalars[2] = z; /* z = -(x+y) */ |
| 1152 | |
| 1153 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; |
| 1154 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 1155 | |
| 1156 | fprintf(stdout, " ok\n\n"); |
| 1157 | } |
| 1158 | |
| 1159 | |
| 1160 | #if 0 |
| 1161 | timings(C2_K163, TIMING_BASE_PT, ctx); |
| 1162 | timings(C2_K163, TIMING_RAND_PT, ctx); |
| 1163 | timings(C2_K163, TIMING_SIMUL, ctx); |
| 1164 | timings(C2_B163, TIMING_BASE_PT, ctx); |
| 1165 | timings(C2_B163, TIMING_RAND_PT, ctx); |
| 1166 | timings(C2_B163, TIMING_SIMUL, ctx); |
| 1167 | timings(C2_K233, TIMING_BASE_PT, ctx); |
| 1168 | timings(C2_K233, TIMING_RAND_PT, ctx); |
| 1169 | timings(C2_K233, TIMING_SIMUL, ctx); |
| 1170 | timings(C2_B233, TIMING_BASE_PT, ctx); |
| 1171 | timings(C2_B233, TIMING_RAND_PT, ctx); |
| 1172 | timings(C2_B233, TIMING_SIMUL, ctx); |
| 1173 | timings(C2_K283, TIMING_BASE_PT, ctx); |
| 1174 | timings(C2_K283, TIMING_RAND_PT, ctx); |
| 1175 | timings(C2_K283, TIMING_SIMUL, ctx); |
| 1176 | timings(C2_B283, TIMING_BASE_PT, ctx); |
| 1177 | timings(C2_B283, TIMING_RAND_PT, ctx); |
| 1178 | timings(C2_B283, TIMING_SIMUL, ctx); |
| 1179 | timings(C2_K409, TIMING_BASE_PT, ctx); |
| 1180 | timings(C2_K409, TIMING_RAND_PT, ctx); |
| 1181 | timings(C2_K409, TIMING_SIMUL, ctx); |
| 1182 | timings(C2_B409, TIMING_BASE_PT, ctx); |
| 1183 | timings(C2_B409, TIMING_RAND_PT, ctx); |
| 1184 | timings(C2_B409, TIMING_SIMUL, ctx); |
| 1185 | timings(C2_K571, TIMING_BASE_PT, ctx); |
| 1186 | timings(C2_K571, TIMING_RAND_PT, ctx); |
| 1187 | timings(C2_K571, TIMING_SIMUL, ctx); |
| 1188 | timings(C2_B571, TIMING_BASE_PT, ctx); |
| 1189 | timings(C2_B571, TIMING_RAND_PT, ctx); |
| 1190 | timings(C2_B571, TIMING_SIMUL, ctx); |
| 1191 | #endif |
| 1192 | |
| 1193 | |
| 1194 | if (ctx) |
| 1195 | BN_CTX_free(ctx); |
| 1196 | BN_free(p); BN_free(a); BN_free(b); |
| 1197 | EC_GROUP_free(group); |
| 1198 | EC_POINT_free(P); |
| 1199 | EC_POINT_free(Q); |
| 1200 | EC_POINT_free(R); |
| 1201 | BN_free(x); BN_free(y); BN_free(z); BN_free(cof); |
| 1202 | |
| 1203 | if (C2_K163) EC_GROUP_free(C2_K163); |
| 1204 | if (C2_B163) EC_GROUP_free(C2_B163); |
| 1205 | if (C2_K233) EC_GROUP_free(C2_K233); |
| 1206 | if (C2_B233) EC_GROUP_free(C2_B233); |
| 1207 | if (C2_K283) EC_GROUP_free(C2_K283); |
| 1208 | if (C2_B283) EC_GROUP_free(C2_B283); |
| 1209 | if (C2_K409) EC_GROUP_free(C2_K409); |
| 1210 | if (C2_B409) EC_GROUP_free(C2_B409); |
| 1211 | if (C2_K571) EC_GROUP_free(C2_K571); |
| 1212 | if (C2_B571) EC_GROUP_free(C2_B571); |
| 1213 | |
| 1214 | } |
| 1215 | #endif |
| 1216 | |
| 1217 | static void internal_curve_test(void) |
| 1218 | { |
| 1219 | EC_builtin_curve *curves = NULL; |
| 1220 | size_t crv_len = 0, n = 0; |
| 1221 | int ok = 1; |
| 1222 | |
| 1223 | crv_len = EC_get_builtin_curves(NULL, 0); |
| 1224 | |
| 1225 | curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); |
| 1226 | |
| 1227 | if (curves == NULL) |
| 1228 | return; |
| 1229 | |
| 1230 | if (!EC_get_builtin_curves(curves, crv_len)) |
| 1231 | { |
| 1232 | OPENSSL_free(curves); |
| 1233 | return; |
| 1234 | } |
| 1235 | |
| 1236 | fprintf(stdout, "testing internal curves: "); |
| 1237 | |
| 1238 | for (n = 0; n < crv_len; n++) |
| 1239 | { |
| 1240 | EC_GROUP *group = NULL; |
| 1241 | int nid = curves[n].nid; |
| 1242 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) |
| 1243 | { |
| 1244 | ok = 0; |
| 1245 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" |
| 1246 | " curve %s\n", OBJ_nid2sn(nid)); |
| 1247 | /* try next curve */ |
| 1248 | continue; |
| 1249 | } |
| 1250 | if (!EC_GROUP_check(group, NULL)) |
| 1251 | { |
| 1252 | ok = 0; |
| 1253 | fprintf(stdout, "\nEC_GROUP_check() failed with" |
| 1254 | " curve %s\n", OBJ_nid2sn(nid)); |
| 1255 | EC_GROUP_free(group); |
| 1256 | /* try the next curve */ |
| 1257 | continue; |
| 1258 | } |
| 1259 | fprintf(stdout, "."); |
| 1260 | fflush(stdout); |
| 1261 | EC_GROUP_free(group); |
| 1262 | } |
| 1263 | if (ok) |
| 1264 | fprintf(stdout, " ok\n\n"); |
| 1265 | else |
| 1266 | { |
| 1267 | fprintf(stdout, " failed\n\n"); |
| 1268 | ABORT; |
| 1269 | } |
| 1270 | OPENSSL_free(curves); |
| 1271 | return; |
| 1272 | } |
| 1273 | |
| 1274 | #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| 1275 | /* nistp_test_params contains magic numbers for testing our optimized |
| 1276 | * implementations of several NIST curves with characteristic > 3. */ |
| 1277 | struct nistp_test_params |
| 1278 | { |
| 1279 | const EC_METHOD* (*meth) (); |
| 1280 | int degree; |
| 1281 | /* Qx, Qy and D are taken from |
| 1282 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
| 1283 | * Otherwise, values are standard curve parameters from FIPS 180-3 */ |
| 1284 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; |
| 1285 | }; |
| 1286 | |
| 1287 | static const struct nistp_test_params nistp_tests_params[] = |
| 1288 | { |
| 1289 | { |
| 1290 | /* P-224 */ |
| 1291 | EC_GFp_nistp224_method, |
| 1292 | 224, |
| 1293 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */ |
| 1294 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */ |
| 1295 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */ |
| 1296 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */ |
| 1297 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */ |
| 1298 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */ |
| 1299 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */ |
| 1300 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */ |
| 1301 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */ |
| 1302 | }, |
| 1303 | { |
| 1304 | /* P-256 */ |
| 1305 | EC_GFp_nistp256_method, |
| 1306 | 256, |
| 1307 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */ |
| 1308 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */ |
| 1309 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */ |
| 1310 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */ |
| 1311 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */ |
| 1312 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */ |
| 1313 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */ |
| 1314 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */ |
| 1315 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */ |
| 1316 | }, |
| 1317 | { |
| 1318 | /* P-521 */ |
| 1319 | EC_GFp_nistp521_method, |
| 1320 | 521, |
| 1321 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */ |
| 1322 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */ |
| 1323 | "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */ |
| 1324 | "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */ |
| 1325 | "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */ |
| 1326 | "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */ |
| 1327 | "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */ |
| 1328 | "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */ |
| 1329 | "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */ |
| 1330 | }, |
| 1331 | }; |
| 1332 | |
| 1333 | void nistp_single_test(const struct nistp_test_params *test) |
| 1334 | { |
| 1335 | BN_CTX *ctx; |
| 1336 | BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; |
| 1337 | EC_GROUP *NISTP; |
| 1338 | EC_POINT *G, *P, *Q, *Q_CHECK; |
| 1339 | |
| 1340 | fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree); |
| 1341 | ctx = BN_CTX_new(); |
| 1342 | p = BN_new(); |
| 1343 | a = BN_new(); |
| 1344 | b = BN_new(); |
| 1345 | x = BN_new(); y = BN_new(); |
| 1346 | m = BN_new(); n = BN_new(); order = BN_new(); |
| 1347 | |
| 1348 | NISTP = EC_GROUP_new(test->meth()); |
| 1349 | if(!NISTP) ABORT; |
| 1350 | if (!BN_hex2bn(&p, test->p)) ABORT; |
| 1351 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 1352 | if (!BN_hex2bn(&a, test->a)) ABORT; |
| 1353 | if (!BN_hex2bn(&b, test->b)) ABORT; |
| 1354 | if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT; |
| 1355 | G = EC_POINT_new(NISTP); |
| 1356 | P = EC_POINT_new(NISTP); |
| 1357 | Q = EC_POINT_new(NISTP); |
| 1358 | Q_CHECK = EC_POINT_new(NISTP); |
| 1359 | if(!BN_hex2bn(&x, test->Qx)) ABORT; |
| 1360 | if(!BN_hex2bn(&y, test->Qy)) ABORT; |
| 1361 | if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT; |
| 1362 | if (!BN_hex2bn(&x, test->Gx)) ABORT; |
| 1363 | if (!BN_hex2bn(&y, test->Gy)) ABORT; |
| 1364 | if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT; |
| 1365 | if (!BN_hex2bn(&order, test->order)) ABORT; |
| 1366 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; |
| 1367 | |
| 1368 | fprintf(stdout, "verify degree ... "); |
| 1369 | if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT; |
| 1370 | fprintf(stdout, "ok\n"); |
| 1371 | |
| 1372 | fprintf(stdout, "NIST test vectors ... "); |
| 1373 | if (!BN_hex2bn(&n, test->d)) ABORT; |
| 1374 | /* fixed point multiplication */ |
| 1375 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
| 1376 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1377 | /* random point multiplication */ |
| 1378 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
| 1379 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1380 | |
| 1381 | /* set generator to P = 2*G, where G is the standard generator */ |
| 1382 | if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT; |
| 1383 | if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT; |
| 1384 | /* set the scalar to m=n/2, where n is the NIST test scalar */ |
| 1385 | if (!BN_rshift(m, n, 1)) ABORT; |
| 1386 | |
| 1387 | /* test the non-standard generator */ |
| 1388 | /* fixed point multiplication */ |
| 1389 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
| 1390 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1391 | /* random point multiplication */ |
| 1392 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
| 1393 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1394 | |
| 1395 | /* now repeat all tests with precomputation */ |
| 1396 | if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT; |
| 1397 | |
| 1398 | /* fixed point multiplication */ |
| 1399 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
| 1400 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1401 | /* random point multiplication */ |
| 1402 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
| 1403 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1404 | |
| 1405 | /* reset generator */ |
| 1406 | if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; |
| 1407 | /* fixed point multiplication */ |
| 1408 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
| 1409 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1410 | /* random point multiplication */ |
| 1411 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
| 1412 | if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; |
| 1413 | |
| 1414 | fprintf(stdout, "ok\n"); |
| 1415 | group_order_tests(NISTP); |
| 1416 | #if 0 |
| 1417 | timings(NISTP, TIMING_BASE_PT, ctx); |
| 1418 | timings(NISTP, TIMING_RAND_PT, ctx); |
| 1419 | #endif |
| 1420 | EC_GROUP_free(NISTP); |
| 1421 | EC_POINT_free(G); |
| 1422 | EC_POINT_free(P); |
| 1423 | EC_POINT_free(Q); |
| 1424 | EC_POINT_free(Q_CHECK); |
| 1425 | BN_free(n); |
| 1426 | BN_free(m); |
| 1427 | BN_free(p); |
| 1428 | BN_free(a); |
| 1429 | BN_free(b); |
| 1430 | BN_free(x); |
| 1431 | BN_free(y); |
| 1432 | BN_free(order); |
| 1433 | BN_CTX_free(ctx); |
| 1434 | } |
| 1435 | |
| 1436 | void nistp_tests() |
| 1437 | { |
| 1438 | unsigned i; |
| 1439 | |
| 1440 | for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++) |
| 1441 | { |
| 1442 | nistp_single_test(&nistp_tests_params[i]); |
| 1443 | } |
| 1444 | } |
| 1445 | #endif |
| 1446 | |
| 1447 | static const char rnd_seed[] = "string to make the random number generator think it has entropy"; |
| 1448 | |
| 1449 | int main(int argc, char *argv[]) |
| 1450 | { |
| 1451 | |
| 1452 | /* enable memory leak checking unless explicitly disabled */ |
| 1453 | if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) |
| 1454 | { |
| 1455 | CRYPTO_malloc_debug_init(); |
| 1456 | CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); |
| 1457 | } |
| 1458 | else |
| 1459 | { |
| 1460 | /* OPENSSL_DEBUG_MEMORY=off */ |
| 1461 | CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); |
| 1462 | } |
| 1463 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); |
| 1464 | ERR_load_crypto_strings(); |
| 1465 | |
| 1466 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ |
| 1467 | |
| 1468 | prime_field_tests(); |
| 1469 | puts(""); |
| 1470 | #ifndef OPENSSL_NO_EC2M |
| 1471 | char2_field_tests(); |
| 1472 | #endif |
| 1473 | #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| 1474 | nistp_tests(); |
| 1475 | #endif |
| 1476 | /* test the internal curves */ |
| 1477 | internal_curve_test(); |
| 1478 | |
| 1479 | #ifndef OPENSSL_NO_ENGINE |
| 1480 | ENGINE_cleanup(); |
| 1481 | #endif |
| 1482 | CRYPTO_cleanup_all_ex_data(); |
| 1483 | ERR_free_strings(); |
| 1484 | ERR_remove_thread_state(NULL); |
| 1485 | CRYPTO_mem_leaks_fp(stderr); |
| 1486 | |
| 1487 | return 0; |
| 1488 | } |
| 1489 | #endif |