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> |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 97 | |
| 98 | #if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) |
| 99 | /* suppress "too big too optimize" warning */ |
| 100 | #pragma warning(disable:4959) |
| 101 | #endif |
| 102 | |
| 103 | #define ABORT do { \ |
| 104 | fflush(stdout); \ |
| 105 | fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ |
| 106 | ERR_print_errors_fp(stderr); \ |
| 107 | EXIT(1); \ |
| 108 | } while (0) |
| 109 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 110 | void prime_field_tests(void); |
| 111 | void char2_field_tests(void); |
| 112 | void internal_curve_test(void); |
| 113 | |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 114 | #define TIMING_BASE_PT 0 |
| 115 | #define TIMING_RAND_PT 1 |
| 116 | #define TIMING_SIMUL 2 |
| 117 | |
| 118 | #if 0 |
| 119 | static void timings(EC_GROUP *group, int type, BN_CTX *ctx) |
| 120 | { |
| 121 | clock_t clck; |
| 122 | int i, j; |
| 123 | BIGNUM *s; |
| 124 | BIGNUM *r[10], *r0[10]; |
| 125 | EC_POINT *P; |
| 126 | |
| 127 | s = BN_new(); |
| 128 | if (s == NULL) ABORT; |
| 129 | |
| 130 | fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); |
| 131 | if (!EC_GROUP_get_order(group, s, ctx)) ABORT; |
| 132 | fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); |
| 133 | fflush(stdout); |
| 134 | |
| 135 | P = EC_POINT_new(group); |
| 136 | if (P == NULL) ABORT; |
| 137 | EC_POINT_copy(P, EC_GROUP_get0_generator(group)); |
| 138 | |
| 139 | for (i = 0; i < 10; i++) |
| 140 | { |
| 141 | if ((r[i] = BN_new()) == NULL) ABORT; |
| 142 | if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; |
| 143 | if (type != TIMING_BASE_PT) |
| 144 | { |
| 145 | if ((r0[i] = BN_new()) == NULL) ABORT; |
| 146 | if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; |
| 147 | } |
| 148 | } |
| 149 | |
| 150 | clck = clock(); |
| 151 | for (i = 0; i < 10; i++) |
| 152 | { |
| 153 | for (j = 0; j < 10; j++) |
| 154 | { |
| 155 | if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, |
| 156 | (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT; |
| 157 | } |
| 158 | } |
| 159 | clck = clock() - clck; |
| 160 | |
| 161 | fprintf(stdout, "\n"); |
| 162 | |
| 163 | #ifdef CLOCKS_PER_SEC |
| 164 | /* "To determine the time in seconds, the value returned |
| 165 | * by the clock function should be divided by the value |
| 166 | * of the macro CLOCKS_PER_SEC." |
| 167 | * -- ISO/IEC 9899 */ |
| 168 | # define UNIT "s" |
| 169 | #else |
| 170 | /* "`CLOCKS_PER_SEC' undeclared (first use this function)" |
| 171 | * -- cc on NeXTstep/OpenStep */ |
| 172 | # define UNIT "units" |
| 173 | # define CLOCKS_PER_SEC 1 |
| 174 | #endif |
| 175 | |
| 176 | if (type == TIMING_BASE_PT) { |
| 177 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 178 | "base point multiplications", (double)clck/CLOCKS_PER_SEC); |
| 179 | } else if (type == TIMING_RAND_PT) { |
| 180 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 181 | "random point multiplications", (double)clck/CLOCKS_PER_SEC); |
| 182 | } else if (type == TIMING_SIMUL) { |
| 183 | fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, |
| 184 | "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC); |
| 185 | } |
| 186 | fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); |
| 187 | |
| 188 | EC_POINT_free(P); |
| 189 | BN_free(s); |
| 190 | for (i = 0; i < 10; i++) |
| 191 | { |
| 192 | BN_free(r[i]); |
| 193 | if (type != TIMING_BASE_PT) BN_free(r0[i]); |
| 194 | } |
| 195 | } |
| 196 | #endif |
| 197 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 198 | void prime_field_tests() |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 199 | { |
| 200 | BN_CTX *ctx = NULL; |
| 201 | BIGNUM *p, *a, *b; |
| 202 | EC_GROUP *group; |
| 203 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; |
| 204 | EC_POINT *P, *Q, *R; |
| 205 | BIGNUM *x, *y, *z; |
| 206 | unsigned char buf[100]; |
| 207 | size_t i, len; |
| 208 | int k; |
| 209 | |
| 210 | #if 1 /* optional */ |
| 211 | ctx = BN_CTX_new(); |
| 212 | if (!ctx) ABORT; |
| 213 | #endif |
| 214 | |
| 215 | p = BN_new(); |
| 216 | a = BN_new(); |
| 217 | b = BN_new(); |
| 218 | if (!p || !a || !b) ABORT; |
| 219 | |
| 220 | if (!BN_hex2bn(&p, "17")) ABORT; |
| 221 | if (!BN_hex2bn(&a, "1")) ABORT; |
| 222 | if (!BN_hex2bn(&b, "1")) ABORT; |
| 223 | |
| 224 | group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp |
| 225 | * so that the library gets to choose the EC_METHOD */ |
| 226 | if (!group) ABORT; |
| 227 | |
| 228 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 229 | |
| 230 | { |
| 231 | EC_GROUP *tmp; |
| 232 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); |
| 233 | if (!tmp) ABORT; |
| 234 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
| 235 | EC_GROUP_free(group); |
| 236 | group = tmp; |
| 237 | } |
| 238 | |
| 239 | if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 240 | |
| 241 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); |
| 242 | BN_print_fp(stdout, p); |
| 243 | fprintf(stdout, ")\n a = 0x"); |
| 244 | BN_print_fp(stdout, a); |
| 245 | fprintf(stdout, "\n b = 0x"); |
| 246 | BN_print_fp(stdout, b); |
| 247 | fprintf(stdout, "\n"); |
| 248 | |
| 249 | P = EC_POINT_new(group); |
| 250 | Q = EC_POINT_new(group); |
| 251 | R = EC_POINT_new(group); |
| 252 | if (!P || !Q || !R) ABORT; |
| 253 | |
| 254 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; |
| 255 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 256 | |
| 257 | buf[0] = 0; |
| 258 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; |
| 259 | |
| 260 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 261 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 262 | |
| 263 | x = BN_new(); |
| 264 | y = BN_new(); |
| 265 | z = BN_new(); |
| 266 | if (!x || !y || !z) ABORT; |
| 267 | |
| 268 | if (!BN_hex2bn(&x, "D")) ABORT; |
| 269 | if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; |
| 270 | if (!EC_POINT_is_on_curve(group, Q, ctx)) |
| 271 | { |
| 272 | if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; |
| 273 | fprintf(stderr, "Point is not on curve: x = 0x"); |
| 274 | BN_print_fp(stderr, x); |
| 275 | fprintf(stderr, ", y = 0x"); |
| 276 | BN_print_fp(stderr, y); |
| 277 | fprintf(stderr, "\n"); |
| 278 | ABORT; |
| 279 | } |
| 280 | |
| 281 | fprintf(stdout, "A cyclic subgroup:\n"); |
| 282 | k = 100; |
| 283 | do |
| 284 | { |
| 285 | if (k-- == 0) ABORT; |
| 286 | |
| 287 | if (EC_POINT_is_at_infinity(group, P)) |
| 288 | fprintf(stdout, " point at infinity\n"); |
| 289 | else |
| 290 | { |
| 291 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 292 | |
| 293 | fprintf(stdout, " x = 0x"); |
| 294 | BN_print_fp(stdout, x); |
| 295 | fprintf(stdout, ", y = 0x"); |
| 296 | BN_print_fp(stdout, y); |
| 297 | fprintf(stdout, "\n"); |
| 298 | } |
| 299 | |
| 300 | if (!EC_POINT_copy(R, P)) ABORT; |
| 301 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 302 | |
| 303 | #if 0 /* optional */ |
| 304 | { |
| 305 | EC_POINT *points[3]; |
| 306 | |
| 307 | points[0] = R; |
| 308 | points[1] = Q; |
| 309 | points[2] = P; |
| 310 | if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; |
| 311 | } |
| 312 | #endif |
| 313 | |
| 314 | } |
| 315 | while (!EC_POINT_is_at_infinity(group, P)); |
| 316 | |
| 317 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; |
| 318 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 319 | |
| 320 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
| 321 | if (len == 0) ABORT; |
| 322 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 323 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 324 | fprintf(stdout, "Generator as octect string, compressed form:\n "); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 325 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 326 | |
| 327 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); |
| 328 | if (len == 0) ABORT; |
| 329 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 330 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 331 | fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n "); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 332 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 333 | |
| 334 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); |
| 335 | if (len == 0) ABORT; |
| 336 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 337 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 338 | fprintf(stdout, "\nGenerator as octect string, hybrid form:\n "); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 339 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 340 | |
| 341 | if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; |
| 342 | fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); |
| 343 | BN_print_fp(stdout, x); |
| 344 | fprintf(stdout, ", Y = 0x"); |
| 345 | BN_print_fp(stdout, y); |
| 346 | fprintf(stdout, ", Z = 0x"); |
| 347 | BN_print_fp(stdout, z); |
| 348 | fprintf(stdout, "\n"); |
| 349 | |
| 350 | if (!EC_POINT_invert(group, P, ctx)) ABORT; |
| 351 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 352 | |
| 353 | |
| 354 | /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) |
| 355 | * -- not a NIST curve, but commonly used */ |
| 356 | |
| 357 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; |
| 358 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 359 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; |
| 360 | if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; |
| 361 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 362 | |
| 363 | if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; |
| 364 | if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; |
| 365 | if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 366 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 367 | if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; |
| 368 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 369 | |
| 370 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 371 | fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); |
| 372 | BN_print_fp(stdout, x); |
| 373 | fprintf(stdout, "\n y = 0x"); |
| 374 | BN_print_fp(stdout, y); |
| 375 | fprintf(stdout, "\n"); |
| 376 | /* G_y value taken from the standard: */ |
| 377 | if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; |
| 378 | if (0 != BN_cmp(y, z)) ABORT; |
| 379 | |
| 380 | fprintf(stdout, "verify degree ..."); |
| 381 | if (EC_GROUP_get_degree(group) != 160) ABORT; |
| 382 | fprintf(stdout, " ok\n"); |
| 383 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 384 | fprintf(stdout, "verify group order ..."); |
| 385 | fflush(stdout); |
| 386 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 387 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 388 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 389 | fprintf(stdout, "."); |
| 390 | fflush(stdout); |
| 391 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 392 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 393 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 394 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 395 | |
| 396 | if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 397 | if (!EC_GROUP_copy(P_160, group)) ABORT; |
| 398 | |
| 399 | |
| 400 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ |
| 401 | |
| 402 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; |
| 403 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 404 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; |
| 405 | if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; |
| 406 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 407 | |
| 408 | if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; |
| 409 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; |
| 410 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 411 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; |
| 412 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 413 | |
| 414 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 415 | fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); |
| 416 | BN_print_fp(stdout, x); |
| 417 | fprintf(stdout, "\n y = 0x"); |
| 418 | BN_print_fp(stdout, y); |
| 419 | fprintf(stdout, "\n"); |
| 420 | /* G_y value taken from the standard: */ |
| 421 | if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; |
| 422 | if (0 != BN_cmp(y, z)) ABORT; |
| 423 | |
| 424 | fprintf(stdout, "verify degree ..."); |
| 425 | if (EC_GROUP_get_degree(group) != 192) ABORT; |
| 426 | fprintf(stdout, " ok\n"); |
| 427 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 428 | fprintf(stdout, "verify group order ..."); |
| 429 | fflush(stdout); |
| 430 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 431 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 432 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 433 | fprintf(stdout, "."); |
| 434 | fflush(stdout); |
| 435 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 436 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 437 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 438 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 439 | |
| 440 | if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 441 | if (!EC_GROUP_copy(P_192, group)) ABORT; |
| 442 | |
| 443 | |
| 444 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ |
| 445 | |
| 446 | if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; |
| 447 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 448 | if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; |
| 449 | if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; |
| 450 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 451 | |
| 452 | if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; |
| 453 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; |
| 454 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 455 | if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; |
| 456 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 457 | |
| 458 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 459 | fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); |
| 460 | BN_print_fp(stdout, x); |
| 461 | fprintf(stdout, "\n y = 0x"); |
| 462 | BN_print_fp(stdout, y); |
| 463 | fprintf(stdout, "\n"); |
| 464 | /* G_y value taken from the standard: */ |
| 465 | if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; |
| 466 | if (0 != BN_cmp(y, z)) ABORT; |
| 467 | |
| 468 | fprintf(stdout, "verify degree ..."); |
| 469 | if (EC_GROUP_get_degree(group) != 224) ABORT; |
| 470 | fprintf(stdout, " ok\n"); |
| 471 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 472 | fprintf(stdout, "verify group order ..."); |
| 473 | fflush(stdout); |
| 474 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 475 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 476 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 477 | fprintf(stdout, "."); |
| 478 | fflush(stdout); |
| 479 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 480 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 481 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 482 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 483 | |
| 484 | if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 485 | if (!EC_GROUP_copy(P_224, group)) ABORT; |
| 486 | |
| 487 | |
| 488 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ |
| 489 | |
| 490 | if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; |
| 491 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 492 | if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
| 493 | if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; |
| 494 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 495 | |
| 496 | if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; |
| 497 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; |
| 498 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 499 | if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" |
| 500 | "84F3B9CAC2FC632551")) ABORT; |
| 501 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 502 | |
| 503 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 504 | fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); |
| 505 | BN_print_fp(stdout, x); |
| 506 | fprintf(stdout, "\n y = 0x"); |
| 507 | BN_print_fp(stdout, y); |
| 508 | fprintf(stdout, "\n"); |
| 509 | /* G_y value taken from the standard: */ |
| 510 | if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; |
| 511 | if (0 != BN_cmp(y, z)) ABORT; |
| 512 | |
| 513 | fprintf(stdout, "verify degree ..."); |
| 514 | if (EC_GROUP_get_degree(group) != 256) ABORT; |
| 515 | fprintf(stdout, " ok\n"); |
| 516 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 517 | fprintf(stdout, "verify group order ..."); |
| 518 | fflush(stdout); |
| 519 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 520 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 521 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 522 | fprintf(stdout, "."); |
| 523 | fflush(stdout); |
| 524 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 525 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 526 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 527 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 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"); |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 566 | |
| 567 | fprintf(stdout, "verify group order ..."); |
| 568 | fflush(stdout); |
| 569 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 570 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 571 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 572 | fprintf(stdout, "."); |
| 573 | fflush(stdout); |
| 574 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 575 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 576 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 577 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 578 | |
| 579 | if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 580 | if (!EC_GROUP_copy(P_384, group)) ABORT; |
| 581 | |
| 582 | |
| 583 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ |
| 584 | |
| 585 | if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 586 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 587 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; |
| 588 | if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; |
| 589 | if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 590 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 591 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; |
| 592 | if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" |
| 593 | "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" |
| 594 | "DF883D2C34F1EF451FD46B503F00")) ABORT; |
| 595 | if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; |
| 596 | |
| 597 | if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" |
| 598 | "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" |
| 599 | "3C1856A429BF97E7E31C2E5BD66")) ABORT; |
| 600 | if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; |
| 601 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 602 | if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| 603 | "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" |
| 604 | "C9B8899C47AEBB6FB71E91386409")) ABORT; |
| 605 | if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; |
| 606 | |
| 607 | if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; |
| 608 | fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); |
| 609 | BN_print_fp(stdout, x); |
| 610 | fprintf(stdout, "\n y = 0x"); |
| 611 | BN_print_fp(stdout, y); |
| 612 | fprintf(stdout, "\n"); |
| 613 | /* G_y value taken from the standard: */ |
| 614 | if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" |
| 615 | "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" |
| 616 | "7086A272C24088BE94769FD16650")) ABORT; |
| 617 | if (0 != BN_cmp(y, z)) ABORT; |
| 618 | |
| 619 | fprintf(stdout, "verify degree ..."); |
| 620 | if (EC_GROUP_get_degree(group) != 521) ABORT; |
| 621 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 622 | |
| 623 | fprintf(stdout, "verify group order ..."); |
| 624 | fflush(stdout); |
| 625 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; |
| 626 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 627 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 628 | fprintf(stdout, "."); |
| 629 | fflush(stdout); |
| 630 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; |
| 631 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; |
| 632 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 633 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 634 | |
| 635 | if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; |
| 636 | if (!EC_GROUP_copy(P_521, group)) ABORT; |
| 637 | |
| 638 | |
| 639 | /* more tests using the last curve */ |
| 640 | |
| 641 | if (!EC_POINT_copy(Q, P)) ABORT; |
| 642 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 643 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; |
| 644 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 645 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ |
| 646 | |
| 647 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; |
| 648 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; |
| 649 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ |
| 650 | |
| 651 | { |
| 652 | const EC_POINT *points[4]; |
| 653 | const BIGNUM *scalars[4]; |
| 654 | BIGNUM scalar3; |
| 655 | |
| 656 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 657 | points[0] = Q; |
| 658 | points[1] = Q; |
| 659 | points[2] = Q; |
| 660 | points[3] = Q; |
| 661 | |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 662 | if (!BN_add(y, z, BN_value_one())) ABORT; |
| 663 | if (BN_is_odd(y)) ABORT; |
| 664 | if (!BN_rshift1(y, y)) ABORT; |
| 665 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
| 666 | scalars[1] = y; |
| 667 | |
| 668 | fprintf(stdout, "combined multiplication ..."); |
| 669 | fflush(stdout); |
| 670 | |
| 671 | /* z is still the group order */ |
| 672 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 673 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; |
| 674 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 675 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; |
| 676 | |
| 677 | fprintf(stdout, "."); |
| 678 | fflush(stdout); |
| 679 | |
| 680 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; |
| 681 | if (!BN_add(z, z, y)) ABORT; |
| 682 | BN_set_negative(z, 1); |
| 683 | scalars[0] = y; |
| 684 | scalars[1] = z; /* z = -(order + y) */ |
| 685 | |
| 686 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 687 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 688 | |
| 689 | fprintf(stdout, "."); |
| 690 | fflush(stdout); |
| 691 | |
| 692 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; |
| 693 | if (!BN_add(z, x, y)) ABORT; |
| 694 | BN_set_negative(z, 1); |
| 695 | scalars[0] = x; |
| 696 | scalars[1] = y; |
| 697 | scalars[2] = z; /* z = -(x+y) */ |
| 698 | |
| 699 | BN_init(&scalar3); |
| 700 | BN_zero(&scalar3); |
| 701 | scalars[3] = &scalar3; |
| 702 | |
| 703 | if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; |
| 704 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 705 | |
| 706 | fprintf(stdout, " ok\n\n"); |
| 707 | |
| 708 | BN_free(&scalar3); |
| 709 | } |
| 710 | |
| 711 | |
| 712 | #if 0 |
| 713 | timings(P_160, TIMING_BASE_PT, ctx); |
| 714 | timings(P_160, TIMING_RAND_PT, ctx); |
| 715 | timings(P_160, TIMING_SIMUL, ctx); |
| 716 | timings(P_192, TIMING_BASE_PT, ctx); |
| 717 | timings(P_192, TIMING_RAND_PT, ctx); |
| 718 | timings(P_192, TIMING_SIMUL, ctx); |
| 719 | timings(P_224, TIMING_BASE_PT, ctx); |
| 720 | timings(P_224, TIMING_RAND_PT, ctx); |
| 721 | timings(P_224, TIMING_SIMUL, ctx); |
| 722 | timings(P_256, TIMING_BASE_PT, ctx); |
| 723 | timings(P_256, TIMING_RAND_PT, ctx); |
| 724 | timings(P_256, TIMING_SIMUL, ctx); |
| 725 | timings(P_384, TIMING_BASE_PT, ctx); |
| 726 | timings(P_384, TIMING_RAND_PT, ctx); |
| 727 | timings(P_384, TIMING_SIMUL, ctx); |
| 728 | timings(P_521, TIMING_BASE_PT, ctx); |
| 729 | timings(P_521, TIMING_RAND_PT, ctx); |
| 730 | timings(P_521, TIMING_SIMUL, ctx); |
| 731 | #endif |
| 732 | |
| 733 | |
| 734 | if (ctx) |
| 735 | BN_CTX_free(ctx); |
| 736 | BN_free(p); BN_free(a); BN_free(b); |
| 737 | EC_GROUP_free(group); |
| 738 | EC_POINT_free(P); |
| 739 | EC_POINT_free(Q); |
| 740 | EC_POINT_free(R); |
| 741 | BN_free(x); BN_free(y); BN_free(z); |
| 742 | |
| 743 | if (P_160) EC_GROUP_free(P_160); |
| 744 | if (P_192) EC_GROUP_free(P_192); |
| 745 | if (P_224) EC_GROUP_free(P_224); |
| 746 | if (P_256) EC_GROUP_free(P_256); |
| 747 | if (P_384) EC_GROUP_free(P_384); |
| 748 | if (P_521) EC_GROUP_free(P_521); |
| 749 | |
| 750 | } |
| 751 | |
| 752 | /* Change test based on whether binary point compression is enabled or not. */ |
| 753 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 754 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 755 | if (!BN_hex2bn(&x, _x)) ABORT; \ |
| 756 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ |
| 757 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ |
| 758 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 759 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ |
| 760 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ |
| 761 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ |
| 762 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ |
| 763 | BN_print_fp(stdout, x); \ |
| 764 | fprintf(stdout, "\n y = 0x"); \ |
| 765 | BN_print_fp(stdout, y); \ |
| 766 | fprintf(stdout, "\n"); \ |
| 767 | /* G_y value taken from the standard: */ \ |
| 768 | if (!BN_hex2bn(&z, _y)) ABORT; \ |
| 769 | if (0 != BN_cmp(y, z)) ABORT; |
| 770 | #else |
| 771 | #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 772 | if (!BN_hex2bn(&x, _x)) ABORT; \ |
| 773 | if (!BN_hex2bn(&y, _y)) ABORT; \ |
| 774 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ |
| 775 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ |
| 776 | if (!BN_hex2bn(&z, _order)) ABORT; \ |
| 777 | if (!BN_hex2bn(&cof, _cof)) ABORT; \ |
| 778 | if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ |
| 779 | fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ |
| 780 | BN_print_fp(stdout, x); \ |
| 781 | fprintf(stdout, "\n y = 0x"); \ |
| 782 | BN_print_fp(stdout, y); \ |
| 783 | fprintf(stdout, "\n"); |
| 784 | #endif |
| 785 | |
| 786 | #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 787 | if (!BN_hex2bn(&p, _p)) ABORT; \ |
| 788 | if (!BN_hex2bn(&a, _a)) ABORT; \ |
| 789 | if (!BN_hex2bn(&b, _b)) ABORT; \ |
| 790 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ |
| 791 | CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ |
| 792 | fprintf(stdout, "verify degree ..."); \ |
| 793 | if (EC_GROUP_get_degree(group) != _degree) ABORT; \ |
| 794 | fprintf(stdout, " ok\n"); \ |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 795 | fprintf(stdout, "verify group order ..."); \ |
| 796 | fflush(stdout); \ |
| 797 | if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \ |
| 798 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ |
| 799 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ |
| 800 | fprintf(stdout, "."); \ |
| 801 | fflush(stdout); \ |
| 802 | if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \ |
| 803 | if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ |
| 804 | if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ |
| 805 | fprintf(stdout, " ok\n"); \ |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 806 | if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 807 | if (!EC_GROUP_copy(_variable, group)) ABORT; |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 808 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 809 | void char2_field_tests() |
| 810 | { |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 811 | BN_CTX *ctx = NULL; |
| 812 | BIGNUM *p, *a, *b; |
| 813 | EC_GROUP *group; |
| 814 | EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; |
| 815 | EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; |
| 816 | EC_POINT *P, *Q, *R; |
| 817 | BIGNUM *x, *y, *z, *cof; |
| 818 | unsigned char buf[100]; |
| 819 | size_t i, len; |
| 820 | int k; |
| 821 | |
| 822 | #if 1 /* optional */ |
| 823 | ctx = BN_CTX_new(); |
| 824 | if (!ctx) ABORT; |
| 825 | #endif |
| 826 | |
| 827 | p = BN_new(); |
| 828 | a = BN_new(); |
| 829 | b = BN_new(); |
| 830 | if (!p || !a || !b) ABORT; |
| 831 | |
| 832 | if (!BN_hex2bn(&p, "13")) ABORT; |
| 833 | if (!BN_hex2bn(&a, "3")) ABORT; |
| 834 | if (!BN_hex2bn(&b, "1")) ABORT; |
| 835 | |
| 836 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m |
| 837 | * so that the library gets to choose the EC_METHOD */ |
| 838 | if (!group) ABORT; |
| 839 | if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; |
| 840 | |
| 841 | { |
| 842 | EC_GROUP *tmp; |
| 843 | tmp = EC_GROUP_new(EC_GROUP_method_of(group)); |
| 844 | if (!tmp) ABORT; |
| 845 | if (!EC_GROUP_copy(tmp, group)) ABORT; |
| 846 | EC_GROUP_free(group); |
| 847 | group = tmp; |
| 848 | } |
| 849 | |
| 850 | if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; |
| 851 | |
| 852 | fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); |
| 853 | BN_print_fp(stdout, p); |
| 854 | fprintf(stdout, ")\n a = 0x"); |
| 855 | BN_print_fp(stdout, a); |
| 856 | fprintf(stdout, "\n b = 0x"); |
| 857 | BN_print_fp(stdout, b); |
| 858 | fprintf(stdout, "\n(0x... means binary polynomial)\n"); |
| 859 | |
| 860 | P = EC_POINT_new(group); |
| 861 | Q = EC_POINT_new(group); |
| 862 | R = EC_POINT_new(group); |
| 863 | if (!P || !Q || !R) ABORT; |
| 864 | |
| 865 | if (!EC_POINT_set_to_infinity(group, P)) ABORT; |
| 866 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 867 | |
| 868 | buf[0] = 0; |
| 869 | if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; |
| 870 | |
| 871 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 872 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 873 | |
| 874 | x = BN_new(); |
| 875 | y = BN_new(); |
| 876 | z = BN_new(); |
| 877 | cof = BN_new(); |
| 878 | if (!x || !y || !z || !cof) ABORT; |
| 879 | |
| 880 | if (!BN_hex2bn(&x, "6")) ABORT; |
| 881 | /* Change test based on whether binary point compression is enabled or not. */ |
| 882 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 883 | if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; |
| 884 | #else |
| 885 | if (!BN_hex2bn(&y, "8")) ABORT; |
| 886 | if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; |
| 887 | #endif |
| 888 | if (!EC_POINT_is_on_curve(group, Q, ctx)) |
| 889 | { |
| 890 | /* Change test based on whether binary point compression is enabled or not. */ |
| 891 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 892 | if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; |
| 893 | #endif |
| 894 | fprintf(stderr, "Point is not on curve: x = 0x"); |
| 895 | BN_print_fp(stderr, x); |
| 896 | fprintf(stderr, ", y = 0x"); |
| 897 | BN_print_fp(stderr, y); |
| 898 | fprintf(stderr, "\n"); |
| 899 | ABORT; |
| 900 | } |
| 901 | |
| 902 | fprintf(stdout, "A cyclic subgroup:\n"); |
| 903 | k = 100; |
| 904 | do |
| 905 | { |
| 906 | if (k-- == 0) ABORT; |
| 907 | |
| 908 | if (EC_POINT_is_at_infinity(group, P)) |
| 909 | fprintf(stdout, " point at infinity\n"); |
| 910 | else |
| 911 | { |
| 912 | if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; |
| 913 | |
| 914 | fprintf(stdout, " x = 0x"); |
| 915 | BN_print_fp(stdout, x); |
| 916 | fprintf(stdout, ", y = 0x"); |
| 917 | BN_print_fp(stdout, y); |
| 918 | fprintf(stdout, "\n"); |
| 919 | } |
| 920 | |
| 921 | if (!EC_POINT_copy(R, P)) ABORT; |
| 922 | if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; |
| 923 | } |
| 924 | while (!EC_POINT_is_at_infinity(group, P)); |
| 925 | |
| 926 | if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; |
| 927 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 928 | |
| 929 | /* Change test based on whether binary point compression is enabled or not. */ |
| 930 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 931 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); |
| 932 | if (len == 0) ABORT; |
| 933 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 934 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 935 | fprintf(stdout, "Generator as octet string, compressed form:\n "); |
| 936 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 937 | #endif |
| 938 | |
| 939 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); |
| 940 | if (len == 0) ABORT; |
| 941 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 942 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 943 | fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); |
| 944 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 945 | |
| 946 | /* Change test based on whether binary point compression is enabled or not. */ |
| 947 | #ifdef OPENSSL_EC_BIN_PT_COMP |
| 948 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); |
| 949 | if (len == 0) ABORT; |
| 950 | if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; |
| 951 | if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; |
| 952 | fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); |
| 953 | for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); |
| 954 | #endif |
| 955 | |
| 956 | fprintf(stdout, "\n"); |
| 957 | |
| 958 | if (!EC_POINT_invert(group, P, ctx)) ABORT; |
| 959 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 960 | |
| 961 | |
| 962 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ |
| 963 | CHAR2_CURVE_TEST |
| 964 | ( |
| 965 | "NIST curve K-163", |
| 966 | "0800000000000000000000000000000000000000C9", |
| 967 | "1", |
| 968 | "1", |
| 969 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", |
| 970 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", |
| 971 | 1, |
| 972 | "04000000000000000000020108A2E0CC0D99F8A5EF", |
| 973 | "2", |
| 974 | 163, |
| 975 | C2_K163 |
| 976 | ); |
| 977 | |
| 978 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ |
| 979 | CHAR2_CURVE_TEST |
| 980 | ( |
| 981 | "NIST curve B-163", |
| 982 | "0800000000000000000000000000000000000000C9", |
| 983 | "1", |
| 984 | "020A601907B8C953CA1481EB10512F78744A3205FD", |
| 985 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", |
| 986 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", |
| 987 | 1, |
| 988 | "040000000000000000000292FE77E70C12A4234C33", |
| 989 | "2", |
| 990 | 163, |
| 991 | C2_B163 |
| 992 | ); |
| 993 | |
| 994 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ |
| 995 | CHAR2_CURVE_TEST |
| 996 | ( |
| 997 | "NIST curve K-233", |
| 998 | "020000000000000000000000000000000000000004000000000000000001", |
| 999 | "0", |
| 1000 | "1", |
| 1001 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", |
| 1002 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", |
| 1003 | 0, |
| 1004 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", |
| 1005 | "4", |
| 1006 | 233, |
| 1007 | C2_K233 |
| 1008 | ); |
| 1009 | |
| 1010 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ |
| 1011 | CHAR2_CURVE_TEST |
| 1012 | ( |
| 1013 | "NIST curve B-233", |
| 1014 | "020000000000000000000000000000000000000004000000000000000001", |
| 1015 | "000000000000000000000000000000000000000000000000000000000001", |
| 1016 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", |
| 1017 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", |
| 1018 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", |
| 1019 | 1, |
| 1020 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", |
| 1021 | "2", |
| 1022 | 233, |
| 1023 | C2_B233 |
| 1024 | ); |
| 1025 | |
| 1026 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ |
| 1027 | CHAR2_CURVE_TEST |
| 1028 | ( |
| 1029 | "NIST curve K-283", |
| 1030 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", |
| 1031 | "0", |
| 1032 | "1", |
| 1033 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", |
| 1034 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", |
| 1035 | 0, |
| 1036 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", |
| 1037 | "4", |
| 1038 | 283, |
| 1039 | C2_K283 |
| 1040 | ); |
| 1041 | |
| 1042 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ |
| 1043 | CHAR2_CURVE_TEST |
| 1044 | ( |
| 1045 | "NIST curve B-283", |
| 1046 | "0800000000000000000000000000000000000000000000000000000000000000000010A1", |
| 1047 | "000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1048 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", |
| 1049 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", |
| 1050 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", |
| 1051 | 1, |
| 1052 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", |
| 1053 | "2", |
| 1054 | 283, |
| 1055 | C2_B283 |
| 1056 | ); |
| 1057 | |
| 1058 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ |
| 1059 | CHAR2_CURVE_TEST |
| 1060 | ( |
| 1061 | "NIST curve K-409", |
| 1062 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", |
| 1063 | "0", |
| 1064 | "1", |
| 1065 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", |
| 1066 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", |
| 1067 | 1, |
| 1068 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", |
| 1069 | "4", |
| 1070 | 409, |
| 1071 | C2_K409 |
| 1072 | ); |
| 1073 | |
| 1074 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ |
| 1075 | CHAR2_CURVE_TEST |
| 1076 | ( |
| 1077 | "NIST curve B-409", |
| 1078 | "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", |
| 1079 | "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1080 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", |
| 1081 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", |
| 1082 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", |
| 1083 | 1, |
| 1084 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", |
| 1085 | "2", |
| 1086 | 409, |
| 1087 | C2_B409 |
| 1088 | ); |
| 1089 | |
| 1090 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ |
| 1091 | CHAR2_CURVE_TEST |
| 1092 | ( |
| 1093 | "NIST curve K-571", |
| 1094 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", |
| 1095 | "0", |
| 1096 | "1", |
| 1097 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", |
| 1098 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", |
| 1099 | 0, |
| 1100 | "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", |
| 1101 | "4", |
| 1102 | 571, |
| 1103 | C2_K571 |
| 1104 | ); |
| 1105 | |
| 1106 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ |
| 1107 | CHAR2_CURVE_TEST |
| 1108 | ( |
| 1109 | "NIST curve B-571", |
| 1110 | "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", |
| 1111 | "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", |
| 1112 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", |
| 1113 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", |
| 1114 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", |
| 1115 | 1, |
| 1116 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", |
| 1117 | "2", |
| 1118 | 571, |
| 1119 | C2_B571 |
| 1120 | ); |
| 1121 | |
| 1122 | /* more tests using the last curve */ |
| 1123 | |
| 1124 | if (!EC_POINT_copy(Q, P)) ABORT; |
| 1125 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 1126 | if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; |
| 1127 | if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; |
| 1128 | if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ |
| 1129 | |
| 1130 | if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; |
| 1131 | if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; |
| 1132 | if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ |
| 1133 | |
| 1134 | { |
| 1135 | const EC_POINT *points[3]; |
| 1136 | const BIGNUM *scalars[3]; |
| 1137 | |
| 1138 | if (EC_POINT_is_at_infinity(group, Q)) ABORT; |
| 1139 | points[0] = Q; |
| 1140 | points[1] = Q; |
| 1141 | points[2] = Q; |
| 1142 | |
| 1143 | if (!BN_add(y, z, BN_value_one())) ABORT; |
| 1144 | if (BN_is_odd(y)) ABORT; |
| 1145 | if (!BN_rshift1(y, y)) ABORT; |
| 1146 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
| 1147 | scalars[1] = y; |
| 1148 | |
| 1149 | fprintf(stdout, "combined multiplication ..."); |
| 1150 | fflush(stdout); |
| 1151 | |
| 1152 | /* z is still the group order */ |
| 1153 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 1154 | if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; |
| 1155 | if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; |
| 1156 | if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; |
| 1157 | |
| 1158 | fprintf(stdout, "."); |
| 1159 | fflush(stdout); |
| 1160 | |
| 1161 | if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; |
| 1162 | if (!BN_add(z, z, y)) ABORT; |
| 1163 | BN_set_negative(z, 1); |
| 1164 | scalars[0] = y; |
| 1165 | scalars[1] = z; /* z = -(order + y) */ |
| 1166 | |
| 1167 | if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; |
| 1168 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 1169 | |
| 1170 | fprintf(stdout, "."); |
| 1171 | fflush(stdout); |
| 1172 | |
| 1173 | if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; |
| 1174 | if (!BN_add(z, x, y)) ABORT; |
| 1175 | BN_set_negative(z, 1); |
| 1176 | scalars[0] = x; |
| 1177 | scalars[1] = y; |
| 1178 | scalars[2] = z; /* z = -(x+y) */ |
| 1179 | |
| 1180 | if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; |
| 1181 | if (!EC_POINT_is_at_infinity(group, P)) ABORT; |
| 1182 | |
| 1183 | fprintf(stdout, " ok\n\n"); |
| 1184 | } |
| 1185 | |
| 1186 | |
| 1187 | #if 0 |
| 1188 | timings(C2_K163, TIMING_BASE_PT, ctx); |
| 1189 | timings(C2_K163, TIMING_RAND_PT, ctx); |
| 1190 | timings(C2_K163, TIMING_SIMUL, ctx); |
| 1191 | timings(C2_B163, TIMING_BASE_PT, ctx); |
| 1192 | timings(C2_B163, TIMING_RAND_PT, ctx); |
| 1193 | timings(C2_B163, TIMING_SIMUL, ctx); |
| 1194 | timings(C2_K233, TIMING_BASE_PT, ctx); |
| 1195 | timings(C2_K233, TIMING_RAND_PT, ctx); |
| 1196 | timings(C2_K233, TIMING_SIMUL, ctx); |
| 1197 | timings(C2_B233, TIMING_BASE_PT, ctx); |
| 1198 | timings(C2_B233, TIMING_RAND_PT, ctx); |
| 1199 | timings(C2_B233, TIMING_SIMUL, ctx); |
| 1200 | timings(C2_K283, TIMING_BASE_PT, ctx); |
| 1201 | timings(C2_K283, TIMING_RAND_PT, ctx); |
| 1202 | timings(C2_K283, TIMING_SIMUL, ctx); |
| 1203 | timings(C2_B283, TIMING_BASE_PT, ctx); |
| 1204 | timings(C2_B283, TIMING_RAND_PT, ctx); |
| 1205 | timings(C2_B283, TIMING_SIMUL, ctx); |
| 1206 | timings(C2_K409, TIMING_BASE_PT, ctx); |
| 1207 | timings(C2_K409, TIMING_RAND_PT, ctx); |
| 1208 | timings(C2_K409, TIMING_SIMUL, ctx); |
| 1209 | timings(C2_B409, TIMING_BASE_PT, ctx); |
| 1210 | timings(C2_B409, TIMING_RAND_PT, ctx); |
| 1211 | timings(C2_B409, TIMING_SIMUL, ctx); |
| 1212 | timings(C2_K571, TIMING_BASE_PT, ctx); |
| 1213 | timings(C2_K571, TIMING_RAND_PT, ctx); |
| 1214 | timings(C2_K571, TIMING_SIMUL, ctx); |
| 1215 | timings(C2_B571, TIMING_BASE_PT, ctx); |
| 1216 | timings(C2_B571, TIMING_RAND_PT, ctx); |
| 1217 | timings(C2_B571, TIMING_SIMUL, ctx); |
| 1218 | #endif |
| 1219 | |
| 1220 | |
| 1221 | if (ctx) |
| 1222 | BN_CTX_free(ctx); |
| 1223 | BN_free(p); BN_free(a); BN_free(b); |
| 1224 | EC_GROUP_free(group); |
| 1225 | EC_POINT_free(P); |
| 1226 | EC_POINT_free(Q); |
| 1227 | EC_POINT_free(R); |
| 1228 | BN_free(x); BN_free(y); BN_free(z); BN_free(cof); |
| 1229 | |
| 1230 | if (C2_K163) EC_GROUP_free(C2_K163); |
| 1231 | if (C2_B163) EC_GROUP_free(C2_B163); |
| 1232 | if (C2_K233) EC_GROUP_free(C2_K233); |
| 1233 | if (C2_B233) EC_GROUP_free(C2_B233); |
| 1234 | if (C2_K283) EC_GROUP_free(C2_K283); |
| 1235 | if (C2_B283) EC_GROUP_free(C2_B283); |
| 1236 | if (C2_K409) EC_GROUP_free(C2_K409); |
| 1237 | if (C2_B409) EC_GROUP_free(C2_B409); |
| 1238 | if (C2_K571) EC_GROUP_free(C2_K571); |
| 1239 | if (C2_B571) EC_GROUP_free(C2_B571); |
| 1240 | |
| 1241 | } |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1242 | |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 1243 | void internal_curve_test(void) |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1244 | { |
| 1245 | EC_builtin_curve *curves = NULL; |
| 1246 | size_t crv_len = 0, n = 0; |
| 1247 | int ok = 1; |
| 1248 | |
| 1249 | crv_len = EC_get_builtin_curves(NULL, 0); |
| 1250 | |
| 1251 | curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); |
| 1252 | |
| 1253 | if (curves == NULL) |
| 1254 | return; |
| 1255 | |
| 1256 | if (!EC_get_builtin_curves(curves, crv_len)) |
| 1257 | { |
| 1258 | OPENSSL_free(curves); |
| 1259 | return; |
| 1260 | } |
| 1261 | |
| 1262 | fprintf(stdout, "testing internal curves: "); |
| 1263 | |
| 1264 | for (n = 0; n < crv_len; n++) |
| 1265 | { |
| 1266 | EC_GROUP *group = NULL; |
| 1267 | int nid = curves[n].nid; |
| 1268 | if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) |
| 1269 | { |
| 1270 | ok = 0; |
| 1271 | fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" |
| 1272 | " curve %s\n", OBJ_nid2sn(nid)); |
| 1273 | /* try next curve */ |
| 1274 | continue; |
| 1275 | } |
| 1276 | if (!EC_GROUP_check(group, NULL)) |
| 1277 | { |
| 1278 | ok = 0; |
| 1279 | fprintf(stdout, "\nEC_GROUP_check() failed with" |
| 1280 | " curve %s\n", OBJ_nid2sn(nid)); |
| 1281 | EC_GROUP_free(group); |
| 1282 | /* try the next curve */ |
| 1283 | continue; |
| 1284 | } |
| 1285 | fprintf(stdout, "."); |
| 1286 | fflush(stdout); |
| 1287 | EC_GROUP_free(group); |
| 1288 | } |
| 1289 | if (ok) |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 1290 | fprintf(stdout, " ok\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1291 | else |
Alexandre Savard | 7541067 | 2012-08-08 09:50:01 -0400 | [diff] [blame] | 1292 | fprintf(stdout, " failed\n"); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1293 | OPENSSL_free(curves); |
| 1294 | return; |
| 1295 | } |
| 1296 | |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1297 | static const char rnd_seed[] = "string to make the random number generator think it has entropy"; |
| 1298 | |
| 1299 | int main(int argc, char *argv[]) |
| 1300 | { |
| 1301 | |
| 1302 | /* enable memory leak checking unless explicitly disabled */ |
| 1303 | if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) |
| 1304 | { |
| 1305 | CRYPTO_malloc_debug_init(); |
| 1306 | CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); |
| 1307 | } |
| 1308 | else |
| 1309 | { |
| 1310 | /* OPENSSL_DEBUG_MEMORY=off */ |
| 1311 | CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); |
| 1312 | } |
| 1313 | CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); |
| 1314 | ERR_load_crypto_strings(); |
| 1315 | |
| 1316 | RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ |
| 1317 | |
| 1318 | prime_field_tests(); |
| 1319 | puts(""); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1320 | char2_field_tests(); |
Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [diff] [blame] | 1321 | /* test the internal curves */ |
| 1322 | internal_curve_test(); |
| 1323 | |
| 1324 | #ifndef OPENSSL_NO_ENGINE |
| 1325 | ENGINE_cleanup(); |
| 1326 | #endif |
| 1327 | CRYPTO_cleanup_all_ex_data(); |
| 1328 | ERR_free_strings(); |
| 1329 | ERR_remove_thread_state(NULL); |
| 1330 | CRYPTO_mem_leaks_fp(stderr); |
| 1331 | |
| 1332 | return 0; |
| 1333 | } |
| 1334 | #endif |