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| 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."); retur
n 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 != TI
MING_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_SE
C); | |
| 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 E
C_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)) A
BORT; | |
| 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, siz
eof 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, s
izeof 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)) A
BORT; | |
| 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, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000000000
0001")) ABORT; | |
| 467 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; | |
| 468 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFF
FFFE")) ABORT; | |
| 469 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355
FFB4")) ABORT; | |
| 470 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
| 471 | |
| 472 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C
1D21")) 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, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C
2A3D")) 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, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D581998500
7E34")) 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, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFF
FFFFFFFFFFFF")) ABORT; | |
| 501 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; | |
| 502 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFF
FFFFFFFFFFFC")) ABORT; | |
| 503 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE
3C3E27D2604B")) ABORT; | |
| 504 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; | |
| 505 | |
| 506 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A1
3945D898C296")) 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, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6
406837BF51F5")) 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)) ABO
RT; | |
| 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)) ABO
RT; | |
| 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)) ABO
RT; | |
| 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, _co
f, _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, _co
f, _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, _degre
e, _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, _co
f, _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 = N
ULL, *C2_K571 = NULL; | |
| 788 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = N
ULL, *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 us
e EC_GROUP_new_curve_GF2m | |
| 810 * so that the library ge
ts 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)) ABOR
T; | |
| 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, siz
eof 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, s
izeof 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 "080000000000000000000000000000000000000000000000000000000000000
0000010A1", | |
| 1004 "0", | |
| 1005 "1", | |
| 1006 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2
458492836", | |
| 1007 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116
177DD2259", | |
| 1008 0, | |
| 1009 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E0
61E163C61", | |
| 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 "080000000000000000000000000000000000000000000000000000000000000
0000010A1", | |
| 1020 "000000000000000000000000000000000000000000000000000000000000000
000000001", | |
| 1021 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E3
13B79A2F5", | |
| 1022 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBEC
D86B12053", | |
| 1023 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF4
5BE8112F4", | |
| 1024 1, | |
| 1025 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7
CEFADB307", | |
| 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 "020000000000000000000000000000000000000000000000000000000000000
00000000000000000008000000000000000000001", | |
| 1036 "0", | |
| 1037 "1", | |
| 1038 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC
2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
| 1039 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E
3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
| 1040 1, | |
| 1041 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4E
A20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
| 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 "020000000000000000000000000000000000000000000000000000000000000
00000000000000000008000000000000000000001", | |
| 1052 "000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000001", | |
| 1053 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C
8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
| 1054 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E5970
3DC255A868A1180515603AEAB60794E54BB7996A7", | |
| 1055 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08
F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
| 1056 1, | |
| 1057 "010000000000000000000000000000000000000000000000000001E2AAD6A61
2F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
| 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 "800000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000425
", | |
| 1068 "0", | |
| 1069 "1", | |
| 1070 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA
44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C897
2", | |
| 1071 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2
C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A
3", | |
| 1072 0, | |
| 1073 "020000000000000000000000000000000000000000000000000000000000000
000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C100
1", | |
| 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 "800000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000425
", | |
| 1084 "000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000
1", | |
| 1085 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18A
D84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727
A", | |
| 1086 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2AB
DBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D1
9", | |
| 1087 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A
684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15
B", | |
| 1088 1, | |
| 1089 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
FFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E4
7", | |
| 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)) ABO
RT; | |
| 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)) ABO
RT; | |
| 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)) ABO
RT; | |
| 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", /* Q
x */ | |
| 1297 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Q
y */ | |
| 1298 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* G
x */ | |
| 1299 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* G
y */ | |
| 1300 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* o
rder */ | |
| 1301 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d
*/ | |
| 1302 }, | |
| 1303 { | |
| 1304 /* P-256 */ | |
| 1305 EC_GFp_nistp256_method, | |
| 1306 256, | |
| 1307 "ffffffff00000001000000000000000000000000fffffffffffffffffffffff
f", /* p */ | |
| 1308 "ffffffff00000001000000000000000000000000fffffffffffffffffffffff
c", /* a */ | |
| 1309 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604
b", /* b */ | |
| 1310 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a1
9", /* Qx */ | |
| 1311 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e0
9", /* Qy */ | |
| 1312 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c29
6", /* Gx */ | |
| 1313 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f
5", /* Gy */ | |
| 1314 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63255
1", /* order */ | |
| 1315 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf9
6", /* d */ | |
| 1316 }, | |
| 1317 { | |
| 1318 /* P-521 */ | |
| 1319 EC_GFp_nistp521_method, | |
| 1320 521, | |
| 1321 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */ | |
| 1322 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */ | |
| 1323 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef1
09e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */ | |
| 1324 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410c
ca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */ | |
| 1325 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef
17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */ | |
| 1326 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3
dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */ | |
| 1327 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e
662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */ | |
| 1328 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order
*/ | |
| 1329 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc1
84eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* 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)) ABOR
T; | |
| 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_pa
rams); 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("O
PENSSL_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 | |
| OLD | NEW |
|---|
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Issue 2072073002:
Delete bundled copy of OpenSSL and replace with README. (Closed)
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