1 /* crypto/ec/ectest.c */ 2 /* 3 * Originally written by Bodo Moeller for the OpenSSL project. 4 */ 5 /* ==================================================================== 6 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 12 * 1. Redistributions of source code must retain the above copyright 13 * notice, this list of conditions and the following disclaimer. 14 * 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in 17 * the documentation and/or other materials provided with the 18 * distribution. 19 * 20 * 3. All advertising materials mentioning features or use of this 21 * software must display the following acknowledgment: 22 * "This product includes software developed by the OpenSSL Project 23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24 * 25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26 * endorse or promote products derived from this software without 27 * prior written permission. For written permission, please contact 28 * openssl-core@openssl.org. 29 * 30 * 5. Products derived from this software may not be called "OpenSSL" 31 * nor may "OpenSSL" appear in their names without prior written 32 * permission of the OpenSSL Project. 33 * 34 * 6. Redistributions of any form whatsoever must retain the following 35 * acknowledgment: 36 * "This product includes software developed by the OpenSSL Project 37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38 * 39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50 * OF THE POSSIBILITY OF SUCH DAMAGE. 51 * ==================================================================== 52 * 53 * This product includes cryptographic software written by Eric Young 54 * (eay@cryptsoft.com). This product includes software written by Tim 55 * Hudson (tjh@cryptsoft.com). 56 * 57 */ 58 /* ==================================================================== 59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60 * 61 * Portions of the attached software ("Contribution") are developed by 62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63 * 64 * The Contribution is licensed pursuant to the OpenSSL open source 65 * license provided above. 66 * 67 * The elliptic curve binary polynomial software is originally written by 68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69 * 70 */ 71 72 #include <stdio.h> 73 #include <stdlib.h> 74 #ifdef FLAT_INC 75 #include "e_os.h" 76 #else 77 #include "../e_os.h" 78 #endif 79 #include <string.h> 80 #include <time.h> 81 82 83 #ifdef OPENSSL_NO_EC 84 int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } 85 #else 86 87 88 #include <openssl/ec.h> 89 #ifndef OPENSSL_NO_ENGINE 90 #include <openssl/engine.h> 91 #endif 92 #include <openssl/err.h> 93 #include <openssl/obj_mac.h> 94 #include <openssl/objects.h> 95 #include <openssl/rand.h> 96 #include <openssl/bn.h> 97 #include <openssl/opensslconf.h> 98 99 #if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) 100 /* suppress "too big too optimize" warning */ 101 #pragma warning(disable:4959) 102 #endif 103 104 #define ABORT do { \ 105 fflush(stdout); \ 106 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ 107 ERR_print_errors_fp(stderr); \ 108 EXIT(1); \ 109 } while (0) 110 111 #define TIMING_BASE_PT 0 112 #define TIMING_RAND_PT 1 113 #define TIMING_SIMUL 2 114 115 #if 0 116 static void timings(EC_GROUP *group, int type, BN_CTX *ctx) 117 { 118 clock_t clck; 119 int i, j; 120 BIGNUM *s; 121 BIGNUM *r[10], *r0[10]; 122 EC_POINT *P; 123 124 s = BN_new(); 125 if (s == NULL) ABORT; 126 127 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); 128 if (!EC_GROUP_get_order(group, s, ctx)) ABORT; 129 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); 130 fflush(stdout); 131 132 P = EC_POINT_new(group); 133 if (P == NULL) ABORT; 134 EC_POINT_copy(P, EC_GROUP_get0_generator(group)); 135 136 for (i = 0; i < 10; i++) 137 { 138 if ((r[i] = BN_new()) == NULL) ABORT; 139 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; 140 if (type != TIMING_BASE_PT) 141 { 142 if ((r0[i] = BN_new()) == NULL) ABORT; 143 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; 144 } 145 } 146 147 clck = clock(); 148 for (i = 0; i < 10; i++) 149 { 150 for (j = 0; j < 10; j++) 151 { 152 if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, 153 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT; 154 } 155 } 156 clck = clock() - clck; 157 158 fprintf(stdout, "\n"); 159 160 #ifdef CLOCKS_PER_SEC 161 /* "To determine the time in seconds, the value returned 162 * by the clock function should be divided by the value 163 * of the macro CLOCKS_PER_SEC." 164 * -- ISO/IEC 9899 */ 165 # define UNIT "s" 166 #else 167 /* "`CLOCKS_PER_SEC' undeclared (first use this function)" 168 * -- cc on NeXTstep/OpenStep */ 169 # define UNIT "units" 170 # define CLOCKS_PER_SEC 1 171 #endif 172 173 if (type == TIMING_BASE_PT) { 174 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, 175 "base point multiplications", (double)clck/CLOCKS_PER_SEC); 176 } else if (type == TIMING_RAND_PT) { 177 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, 178 "random point multiplications", (double)clck/CLOCKS_PER_SEC); 179 } else if (type == TIMING_SIMUL) { 180 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, 181 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC); 182 } 183 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); 184 185 EC_POINT_free(P); 186 BN_free(s); 187 for (i = 0; i < 10; i++) 188 { 189 BN_free(r[i]); 190 if (type != TIMING_BASE_PT) BN_free(r0[i]); 191 } 192 } 193 #endif 194 195 /* test multiplication with group order, long and negative scalars */ 196 static void group_order_tests(EC_GROUP *group) 197 { 198 BIGNUM *n1, *n2, *order; 199 EC_POINT *P = EC_POINT_new(group); 200 EC_POINT *Q = EC_POINT_new(group); 201 BN_CTX *ctx = BN_CTX_new(); 202 203 n1 = BN_new(); n2 = BN_new(); order = BN_new(); 204 fprintf(stdout, "verify group order ..."); 205 fflush(stdout); 206 if (!EC_GROUP_get_order(group, order, ctx)) ABORT; 207 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; 208 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 209 fprintf(stdout, "."); 210 fflush(stdout); 211 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 212 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; 213 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 214 fprintf(stdout, " ok\n"); 215 fprintf(stdout, "long/negative scalar tests ... "); 216 if (!BN_one(n1)) ABORT; 217 /* n1 = 1 - order */ 218 if (!BN_sub(n1, n1, order)) ABORT; 219 if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT; 220 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; 221 /* n2 = 1 + order */ 222 if (!BN_add(n2, order, BN_value_one())) ABORT; 223 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; 224 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; 225 /* n2 = (1 - order) * (1 + order) */ 226 if (!BN_mul(n2, n1, n2, ctx)) ABORT; 227 if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; 228 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; 229 fprintf(stdout, "ok\n"); 230 EC_POINT_free(P); 231 EC_POINT_free(Q); 232 BN_free(n1); 233 BN_free(n2); 234 BN_free(order); 235 BN_CTX_free(ctx); 236 } 237 238 static void prime_field_tests(void) 239 { 240 BN_CTX *ctx = NULL; 241 BIGNUM *p, *a, *b; 242 EC_GROUP *group; 243 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; 244 EC_POINT *P, *Q, *R; 245 BIGNUM *x, *y, *z; 246 unsigned char buf[100]; 247 size_t i, len; 248 int k; 249 250 #if 1 /* optional */ 251 ctx = BN_CTX_new(); 252 if (!ctx) ABORT; 253 #endif 254 255 p = BN_new(); 256 a = BN_new(); 257 b = BN_new(); 258 if (!p || !a || !b) ABORT; 259 260 if (!BN_hex2bn(&p, "17")) ABORT; 261 if (!BN_hex2bn(&a, "1")) ABORT; 262 if (!BN_hex2bn(&b, "1")) ABORT; 263 264 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp 265 * so that the library gets to choose the EC_METHOD */ 266 if (!group) ABORT; 267 268 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 269 270 { 271 EC_GROUP *tmp; 272 tmp = EC_GROUP_new(EC_GROUP_method_of(group)); 273 if (!tmp) ABORT; 274 if (!EC_GROUP_copy(tmp, group)) ABORT; 275 EC_GROUP_free(group); 276 group = tmp; 277 } 278 279 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; 280 281 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); 282 BN_print_fp(stdout, p); 283 fprintf(stdout, ")\n a = 0x"); 284 BN_print_fp(stdout, a); 285 fprintf(stdout, "\n b = 0x"); 286 BN_print_fp(stdout, b); 287 fprintf(stdout, "\n"); 288 289 P = EC_POINT_new(group); 290 Q = EC_POINT_new(group); 291 R = EC_POINT_new(group); 292 if (!P || !Q || !R) ABORT; 293 294 if (!EC_POINT_set_to_infinity(group, P)) ABORT; 295 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 296 297 buf[0] = 0; 298 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; 299 300 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 301 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 302 303 x = BN_new(); 304 y = BN_new(); 305 z = BN_new(); 306 if (!x || !y || !z) ABORT; 307 308 if (!BN_hex2bn(&x, "D")) ABORT; 309 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; 310 if (!EC_POINT_is_on_curve(group, Q, ctx)) 311 { 312 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; 313 fprintf(stderr, "Point is not on curve: x = 0x"); 314 BN_print_fp(stderr, x); 315 fprintf(stderr, ", y = 0x"); 316 BN_print_fp(stderr, y); 317 fprintf(stderr, "\n"); 318 ABORT; 319 } 320 321 fprintf(stdout, "A cyclic subgroup:\n"); 322 k = 100; 323 do 324 { 325 if (k-- == 0) ABORT; 326 327 if (EC_POINT_is_at_infinity(group, P)) 328 fprintf(stdout, " point at infinity\n"); 329 else 330 { 331 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 332 333 fprintf(stdout, " x = 0x"); 334 BN_print_fp(stdout, x); 335 fprintf(stdout, ", y = 0x"); 336 BN_print_fp(stdout, y); 337 fprintf(stdout, "\n"); 338 } 339 340 if (!EC_POINT_copy(R, P)) ABORT; 341 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 342 343 #if 0 /* optional */ 344 { 345 EC_POINT *points[3]; 346 347 points[0] = R; 348 points[1] = Q; 349 points[2] = P; 350 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; 351 } 352 #endif 353 354 } 355 while (!EC_POINT_is_at_infinity(group, P)); 356 357 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; 358 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 359 360 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); 361 if (len == 0) ABORT; 362 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 363 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 364 fprintf(stdout, "Generator as octet string, compressed form:\n "); 365 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 366 367 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); 368 if (len == 0) ABORT; 369 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 370 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 371 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); 372 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 373 374 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); 375 if (len == 0) ABORT; 376 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 377 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 378 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); 379 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 380 381 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; 382 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); 383 BN_print_fp(stdout, x); 384 fprintf(stdout, ", Y = 0x"); 385 BN_print_fp(stdout, y); 386 fprintf(stdout, ", Z = 0x"); 387 BN_print_fp(stdout, z); 388 fprintf(stdout, "\n"); 389 390 if (!EC_POINT_invert(group, P, ctx)) ABORT; 391 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 392 393 394 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) 395 * -- not a NIST curve, but commonly used */ 396 397 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; 398 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 399 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; 400 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; 401 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 402 403 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; 404 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; 405 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 406 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 407 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; 408 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 409 410 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 411 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); 412 BN_print_fp(stdout, x); 413 fprintf(stdout, "\n y = 0x"); 414 BN_print_fp(stdout, y); 415 fprintf(stdout, "\n"); 416 /* G_y value taken from the standard: */ 417 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; 418 if (0 != BN_cmp(y, z)) ABORT; 419 420 fprintf(stdout, "verify degree ..."); 421 if (EC_GROUP_get_degree(group) != 160) ABORT; 422 fprintf(stdout, " ok\n"); 423 424 group_order_tests(group); 425 426 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 427 if (!EC_GROUP_copy(P_160, group)) ABORT; 428 429 430 /* Curve P-192 (FIPS PUB 186-2, App. 6) */ 431 432 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; 433 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 434 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; 435 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; 436 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 437 438 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; 439 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 440 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 441 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; 442 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 443 444 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 445 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); 446 BN_print_fp(stdout, x); 447 fprintf(stdout, "\n y = 0x"); 448 BN_print_fp(stdout, y); 449 fprintf(stdout, "\n"); 450 /* G_y value taken from the standard: */ 451 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; 452 if (0 != BN_cmp(y, z)) ABORT; 453 454 fprintf(stdout, "verify degree ..."); 455 if (EC_GROUP_get_degree(group) != 192) ABORT; 456 fprintf(stdout, " ok\n"); 457 458 group_order_tests(group); 459 460 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 461 if (!EC_GROUP_copy(P_192, group)) ABORT; 462 463 464 /* Curve P-224 (FIPS PUB 186-2, App. 6) */ 465 466 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; 467 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 468 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; 469 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; 470 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 471 472 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; 473 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; 474 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 475 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; 476 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 477 478 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 479 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); 480 BN_print_fp(stdout, x); 481 fprintf(stdout, "\n y = 0x"); 482 BN_print_fp(stdout, y); 483 fprintf(stdout, "\n"); 484 /* G_y value taken from the standard: */ 485 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; 486 if (0 != BN_cmp(y, z)) ABORT; 487 488 fprintf(stdout, "verify degree ..."); 489 if (EC_GROUP_get_degree(group) != 224) ABORT; 490 fprintf(stdout, " ok\n"); 491 492 group_order_tests(group); 493 494 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 495 if (!EC_GROUP_copy(P_224, group)) ABORT; 496 497 498 /* Curve P-256 (FIPS PUB 186-2, App. 6) */ 499 500 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; 501 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 502 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; 503 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; 504 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 505 506 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; 507 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 508 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 509 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" 510 "84F3B9CAC2FC632551")) ABORT; 511 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 512 513 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 514 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); 515 BN_print_fp(stdout, x); 516 fprintf(stdout, "\n y = 0x"); 517 BN_print_fp(stdout, y); 518 fprintf(stdout, "\n"); 519 /* G_y value taken from the standard: */ 520 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; 521 if (0 != BN_cmp(y, z)) ABORT; 522 523 fprintf(stdout, "verify degree ..."); 524 if (EC_GROUP_get_degree(group) != 256) ABORT; 525 fprintf(stdout, " ok\n"); 526 527 group_order_tests(group); 528 529 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 530 if (!EC_GROUP_copy(P_256, group)) ABORT; 531 532 533 /* Curve P-384 (FIPS PUB 186-2, App. 6) */ 534 535 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 536 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; 537 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 538 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 539 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; 540 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" 541 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; 542 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 543 544 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" 545 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; 546 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 547 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 548 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 549 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; 550 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 551 552 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 553 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); 554 BN_print_fp(stdout, x); 555 fprintf(stdout, "\n y = 0x"); 556 BN_print_fp(stdout, y); 557 fprintf(stdout, "\n"); 558 /* G_y value taken from the standard: */ 559 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" 560 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; 561 if (0 != BN_cmp(y, z)) ABORT; 562 563 fprintf(stdout, "verify degree ..."); 564 if (EC_GROUP_get_degree(group) != 384) ABORT; 565 fprintf(stdout, " ok\n"); 566 567 group_order_tests(group); 568 569 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 570 if (!EC_GROUP_copy(P_384, group)) ABORT; 571 572 573 /* Curve P-521 (FIPS PUB 186-2, App. 6) */ 574 575 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 576 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 577 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; 578 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 579 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 580 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 581 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; 582 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" 583 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" 584 "DF883D2C34F1EF451FD46B503F00")) ABORT; 585 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 586 587 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" 588 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" 589 "3C1856A429BF97E7E31C2E5BD66")) ABORT; 590 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; 591 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 592 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 593 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" 594 "C9B8899C47AEBB6FB71E91386409")) ABORT; 595 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 596 597 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 598 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); 599 BN_print_fp(stdout, x); 600 fprintf(stdout, "\n y = 0x"); 601 BN_print_fp(stdout, y); 602 fprintf(stdout, "\n"); 603 /* G_y value taken from the standard: */ 604 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" 605 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" 606 "7086A272C24088BE94769FD16650")) ABORT; 607 if (0 != BN_cmp(y, z)) ABORT; 608 609 fprintf(stdout, "verify degree ..."); 610 if (EC_GROUP_get_degree(group) != 521) ABORT; 611 fprintf(stdout, " ok\n"); 612 613 group_order_tests(group); 614 615 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 616 if (!EC_GROUP_copy(P_521, group)) ABORT; 617 618 619 /* more tests using the last curve */ 620 621 if (!EC_POINT_copy(Q, P)) ABORT; 622 if (EC_POINT_is_at_infinity(group, Q)) ABORT; 623 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; 624 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 625 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ 626 627 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; 628 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; 629 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ 630 631 { 632 const EC_POINT *points[4]; 633 const BIGNUM *scalars[4]; 634 BIGNUM scalar3; 635 636 if (EC_POINT_is_at_infinity(group, Q)) ABORT; 637 points[0] = Q; 638 points[1] = Q; 639 points[2] = Q; 640 points[3] = Q; 641 642 if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 643 if (!BN_add(y, z, BN_value_one())) ABORT; 644 if (BN_is_odd(y)) ABORT; 645 if (!BN_rshift1(y, y)) ABORT; 646 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ 647 scalars[1] = y; 648 649 fprintf(stdout, "combined multiplication ..."); 650 fflush(stdout); 651 652 /* z is still the group order */ 653 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 654 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; 655 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 656 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; 657 658 fprintf(stdout, "."); 659 fflush(stdout); 660 661 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; 662 if (!BN_add(z, z, y)) ABORT; 663 BN_set_negative(z, 1); 664 scalars[0] = y; 665 scalars[1] = z; /* z = -(order + y) */ 666 667 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 668 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 669 670 fprintf(stdout, "."); 671 fflush(stdout); 672 673 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; 674 if (!BN_add(z, x, y)) ABORT; 675 BN_set_negative(z, 1); 676 scalars[0] = x; 677 scalars[1] = y; 678 scalars[2] = z; /* z = -(x+y) */ 679 680 BN_init(&scalar3); 681 BN_zero(&scalar3); 682 scalars[3] = &scalar3; 683 684 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; 685 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 686 687 fprintf(stdout, " ok\n\n"); 688 689 BN_free(&scalar3); 690 } 691 692 693 #if 0 694 timings(P_160, TIMING_BASE_PT, ctx); 695 timings(P_160, TIMING_RAND_PT, ctx); 696 timings(P_160, TIMING_SIMUL, ctx); 697 timings(P_192, TIMING_BASE_PT, ctx); 698 timings(P_192, TIMING_RAND_PT, ctx); 699 timings(P_192, TIMING_SIMUL, ctx); 700 timings(P_224, TIMING_BASE_PT, ctx); 701 timings(P_224, TIMING_RAND_PT, ctx); 702 timings(P_224, TIMING_SIMUL, ctx); 703 timings(P_256, TIMING_BASE_PT, ctx); 704 timings(P_256, TIMING_RAND_PT, ctx); 705 timings(P_256, TIMING_SIMUL, ctx); 706 timings(P_384, TIMING_BASE_PT, ctx); 707 timings(P_384, TIMING_RAND_PT, ctx); 708 timings(P_384, TIMING_SIMUL, ctx); 709 timings(P_521, TIMING_BASE_PT, ctx); 710 timings(P_521, TIMING_RAND_PT, ctx); 711 timings(P_521, TIMING_SIMUL, ctx); 712 #endif 713 714 715 if (ctx) 716 BN_CTX_free(ctx); 717 BN_free(p); BN_free(a); BN_free(b); 718 EC_GROUP_free(group); 719 EC_POINT_free(P); 720 EC_POINT_free(Q); 721 EC_POINT_free(R); 722 BN_free(x); BN_free(y); BN_free(z); 723 724 if (P_160) EC_GROUP_free(P_160); 725 if (P_192) EC_GROUP_free(P_192); 726 if (P_224) EC_GROUP_free(P_224); 727 if (P_256) EC_GROUP_free(P_256); 728 if (P_384) EC_GROUP_free(P_384); 729 if (P_521) EC_GROUP_free(P_521); 730 731 } 732 733 /* Change test based on whether binary point compression is enabled or not. */ 734 #ifdef OPENSSL_EC_BIN_PT_COMP 735 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ 736 if (!BN_hex2bn(&x, _x)) ABORT; \ 737 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ 738 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ 739 if (!BN_hex2bn(&z, _order)) ABORT; \ 740 if (!BN_hex2bn(&cof, _cof)) ABORT; \ 741 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ 742 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ 743 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ 744 BN_print_fp(stdout, x); \ 745 fprintf(stdout, "\n y = 0x"); \ 746 BN_print_fp(stdout, y); \ 747 fprintf(stdout, "\n"); \ 748 /* G_y value taken from the standard: */ \ 749 if (!BN_hex2bn(&z, _y)) ABORT; \ 750 if (0 != BN_cmp(y, z)) ABORT; 751 #else 752 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ 753 if (!BN_hex2bn(&x, _x)) ABORT; \ 754 if (!BN_hex2bn(&y, _y)) ABORT; \ 755 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ 756 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ 757 if (!BN_hex2bn(&z, _order)) ABORT; \ 758 if (!BN_hex2bn(&cof, _cof)) ABORT; \ 759 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ 760 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ 761 BN_print_fp(stdout, x); \ 762 fprintf(stdout, "\n y = 0x"); \ 763 BN_print_fp(stdout, y); \ 764 fprintf(stdout, "\n"); 765 #endif 766 767 #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ 768 if (!BN_hex2bn(&p, _p)) ABORT; \ 769 if (!BN_hex2bn(&a, _a)) ABORT; \ 770 if (!BN_hex2bn(&b, _b)) ABORT; \ 771 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ 772 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ 773 fprintf(stdout, "verify degree ..."); \ 774 if (EC_GROUP_get_degree(group) != _degree) ABORT; \ 775 fprintf(stdout, " ok\n"); \ 776 group_order_tests(group); \ 777 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ 778 if (!EC_GROUP_copy(_variable, group)) ABORT; \ 779 780 #ifndef OPENSSL_NO_EC2M 781 782 static void char2_field_tests(void) 783 { 784 BN_CTX *ctx = NULL; 785 BIGNUM *p, *a, *b; 786 EC_GROUP *group; 787 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; 788 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; 789 EC_POINT *P, *Q, *R; 790 BIGNUM *x, *y, *z, *cof; 791 unsigned char buf[100]; 792 size_t i, len; 793 int k; 794 795 #if 1 /* optional */ 796 ctx = BN_CTX_new(); 797 if (!ctx) ABORT; 798 #endif 799 800 p = BN_new(); 801 a = BN_new(); 802 b = BN_new(); 803 if (!p || !a || !b) ABORT; 804 805 if (!BN_hex2bn(&p, "13")) ABORT; 806 if (!BN_hex2bn(&a, "3")) ABORT; 807 if (!BN_hex2bn(&b, "1")) ABORT; 808 809 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m 810 * so that the library gets to choose the EC_METHOD */ 811 if (!group) ABORT; 812 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; 813 814 { 815 EC_GROUP *tmp; 816 tmp = EC_GROUP_new(EC_GROUP_method_of(group)); 817 if (!tmp) ABORT; 818 if (!EC_GROUP_copy(tmp, group)) ABORT; 819 EC_GROUP_free(group); 820 group = tmp; 821 } 822 823 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; 824 825 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); 826 BN_print_fp(stdout, p); 827 fprintf(stdout, ")\n a = 0x"); 828 BN_print_fp(stdout, a); 829 fprintf(stdout, "\n b = 0x"); 830 BN_print_fp(stdout, b); 831 fprintf(stdout, "\n(0x... means binary polynomial)\n"); 832 833 P = EC_POINT_new(group); 834 Q = EC_POINT_new(group); 835 R = EC_POINT_new(group); 836 if (!P || !Q || !R) ABORT; 837 838 if (!EC_POINT_set_to_infinity(group, P)) ABORT; 839 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 840 841 buf[0] = 0; 842 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; 843 844 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 845 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 846 847 x = BN_new(); 848 y = BN_new(); 849 z = BN_new(); 850 cof = BN_new(); 851 if (!x || !y || !z || !cof) ABORT; 852 853 if (!BN_hex2bn(&x, "6")) ABORT; 854 /* Change test based on whether binary point compression is enabled or not. */ 855 #ifdef OPENSSL_EC_BIN_PT_COMP 856 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; 857 #else 858 if (!BN_hex2bn(&y, "8")) ABORT; 859 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; 860 #endif 861 if (!EC_POINT_is_on_curve(group, Q, ctx)) 862 { 863 /* Change test based on whether binary point compression is enabled or not. */ 864 #ifdef OPENSSL_EC_BIN_PT_COMP 865 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; 866 #endif 867 fprintf(stderr, "Point is not on curve: x = 0x"); 868 BN_print_fp(stderr, x); 869 fprintf(stderr, ", y = 0x"); 870 BN_print_fp(stderr, y); 871 fprintf(stderr, "\n"); 872 ABORT; 873 } 874 875 fprintf(stdout, "A cyclic subgroup:\n"); 876 k = 100; 877 do 878 { 879 if (k-- == 0) ABORT; 880 881 if (EC_POINT_is_at_infinity(group, P)) 882 fprintf(stdout, " point at infinity\n"); 883 else 884 { 885 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; 886 887 fprintf(stdout, " x = 0x"); 888 BN_print_fp(stdout, x); 889 fprintf(stdout, ", y = 0x"); 890 BN_print_fp(stdout, y); 891 fprintf(stdout, "\n"); 892 } 893 894 if (!EC_POINT_copy(R, P)) ABORT; 895 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 896 } 897 while (!EC_POINT_is_at_infinity(group, P)); 898 899 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; 900 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 901 902 /* Change test based on whether binary point compression is enabled or not. */ 903 #ifdef OPENSSL_EC_BIN_PT_COMP 904 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); 905 if (len == 0) ABORT; 906 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 907 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 908 fprintf(stdout, "Generator as octet string, compressed form:\n "); 909 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 910 #endif 911 912 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); 913 if (len == 0) ABORT; 914 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 915 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 916 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); 917 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 918 919 /* Change test based on whether binary point compression is enabled or not. */ 920 #ifdef OPENSSL_EC_BIN_PT_COMP 921 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); 922 if (len == 0) ABORT; 923 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 924 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 925 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); 926 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 927 #endif 928 929 fprintf(stdout, "\n"); 930 931 if (!EC_POINT_invert(group, P, ctx)) ABORT; 932 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 933 934 935 /* Curve K-163 (FIPS PUB 186-2, App. 6) */ 936 CHAR2_CURVE_TEST 937 ( 938 "NIST curve K-163", 939 "0800000000000000000000000000000000000000C9", 940 "1", 941 "1", 942 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", 943 "0289070FB05D38FF58321F2E800536D538CCDAA3D9", 944 1, 945 "04000000000000000000020108A2E0CC0D99F8A5EF", 946 "2", 947 163, 948 C2_K163 949 ); 950 951 /* Curve B-163 (FIPS PUB 186-2, App. 6) */ 952 CHAR2_CURVE_TEST 953 ( 954 "NIST curve B-163", 955 "0800000000000000000000000000000000000000C9", 956 "1", 957 "020A601907B8C953CA1481EB10512F78744A3205FD", 958 "03F0EBA16286A2D57EA0991168D4994637E8343E36", 959 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", 960 1, 961 "040000000000000000000292FE77E70C12A4234C33", 962 "2", 963 163, 964 C2_B163 965 ); 966 967 /* Curve K-233 (FIPS PUB 186-2, App. 6) */ 968 CHAR2_CURVE_TEST 969 ( 970 "NIST curve K-233", 971 "020000000000000000000000000000000000000004000000000000000001", 972 "0", 973 "1", 974 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", 975 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", 976 0, 977 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 978 "4", 979 233, 980 C2_K233 981 ); 982 983 /* Curve B-233 (FIPS PUB 186-2, App. 6) */ 984 CHAR2_CURVE_TEST 985 ( 986 "NIST curve B-233", 987 "020000000000000000000000000000000000000004000000000000000001", 988 "000000000000000000000000000000000000000000000000000000000001", 989 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", 990 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", 991 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", 992 1, 993 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 994 "2", 995 233, 996 C2_B233 997 ); 998 999 /* Curve K-283 (FIPS PUB 186-2, App. 6) */ 1000 CHAR2_CURVE_TEST 1001 ( 1002 "NIST curve K-283", 1003 "0800000000000000000000000000000000000000000000000000000000000000000010A1", 1004 "0", 1005 "1", 1006 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", 1007 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", 1008 0, 1009 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 1010 "4", 1011 283, 1012 C2_K283 1013 ); 1014 1015 /* Curve B-283 (FIPS PUB 186-2, App. 6) */ 1016 CHAR2_CURVE_TEST 1017 ( 1018 "NIST curve B-283", 1019 "0800000000000000000000000000000000000000000000000000000000000000000010A1", 1020 "000000000000000000000000000000000000000000000000000000000000000000000001", 1021 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", 1022 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", 1023 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", 1024 1, 1025 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 1026 "2", 1027 283, 1028 C2_B283 1029 ); 1030 1031 /* Curve K-409 (FIPS PUB 186-2, App. 6) */ 1032 CHAR2_CURVE_TEST 1033 ( 1034 "NIST curve K-409", 1035 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", 1036 "0", 1037 "1", 1038 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", 1039 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", 1040 1, 1041 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 1042 "4", 1043 409, 1044 C2_K409 1045 ); 1046 1047 /* Curve B-409 (FIPS PUB 186-2, App. 6) */ 1048 CHAR2_CURVE_TEST 1049 ( 1050 "NIST curve B-409", 1051 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", 1052 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 1053 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", 1054 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", 1055 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", 1056 1, 1057 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 1058 "2", 1059 409, 1060 C2_B409 1061 ); 1062 1063 /* Curve K-571 (FIPS PUB 186-2, App. 6) */ 1064 CHAR2_CURVE_TEST 1065 ( 1066 "NIST curve K-571", 1067 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", 1068 "0", 1069 "1", 1070 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", 1071 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", 1072 0, 1073 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 1074 "4", 1075 571, 1076 C2_K571 1077 ); 1078 1079 /* Curve B-571 (FIPS PUB 186-2, App. 6) */ 1080 CHAR2_CURVE_TEST 1081 ( 1082 "NIST curve B-571", 1083 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", 1084 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 1085 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", 1086 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", 1087 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", 1088 1, 1089 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 1090 "2", 1091 571, 1092 C2_B571 1093 ); 1094 1095 /* more tests using the last curve */ 1096 1097 if (!EC_POINT_copy(Q, P)) ABORT; 1098 if (EC_POINT_is_at_infinity(group, Q)) ABORT; 1099 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; 1100 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 1101 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ 1102 1103 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; 1104 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; 1105 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ 1106 1107 { 1108 const EC_POINT *points[3]; 1109 const BIGNUM *scalars[3]; 1110 1111 if (EC_POINT_is_at_infinity(group, Q)) ABORT; 1112 points[0] = Q; 1113 points[1] = Q; 1114 points[2] = Q; 1115 1116 if (!BN_add(y, z, BN_value_one())) ABORT; 1117 if (BN_is_odd(y)) ABORT; 1118 if (!BN_rshift1(y, y)) ABORT; 1119 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ 1120 scalars[1] = y; 1121 1122 fprintf(stdout, "combined multiplication ..."); 1123 fflush(stdout); 1124 1125 /* z is still the group order */ 1126 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 1127 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; 1128 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 1129 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; 1130 1131 fprintf(stdout, "."); 1132 fflush(stdout); 1133 1134 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; 1135 if (!BN_add(z, z, y)) ABORT; 1136 BN_set_negative(z, 1); 1137 scalars[0] = y; 1138 scalars[1] = z; /* z = -(order + y) */ 1139 1140 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 1141 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 1142 1143 fprintf(stdout, "."); 1144 fflush(stdout); 1145 1146 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; 1147 if (!BN_add(z, x, y)) ABORT; 1148 BN_set_negative(z, 1); 1149 scalars[0] = x; 1150 scalars[1] = y; 1151 scalars[2] = z; /* z = -(x+y) */ 1152 1153 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; 1154 if (!EC_POINT_is_at_infinity(group, P)) ABORT; 1155 1156 fprintf(stdout, " ok\n\n"); 1157 } 1158 1159 1160 #if 0 1161 timings(C2_K163, TIMING_BASE_PT, ctx); 1162 timings(C2_K163, TIMING_RAND_PT, ctx); 1163 timings(C2_K163, TIMING_SIMUL, ctx); 1164 timings(C2_B163, TIMING_BASE_PT, ctx); 1165 timings(C2_B163, TIMING_RAND_PT, ctx); 1166 timings(C2_B163, TIMING_SIMUL, ctx); 1167 timings(C2_K233, TIMING_BASE_PT, ctx); 1168 timings(C2_K233, TIMING_RAND_PT, ctx); 1169 timings(C2_K233, TIMING_SIMUL, ctx); 1170 timings(C2_B233, TIMING_BASE_PT, ctx); 1171 timings(C2_B233, TIMING_RAND_PT, ctx); 1172 timings(C2_B233, TIMING_SIMUL, ctx); 1173 timings(C2_K283, TIMING_BASE_PT, ctx); 1174 timings(C2_K283, TIMING_RAND_PT, ctx); 1175 timings(C2_K283, TIMING_SIMUL, ctx); 1176 timings(C2_B283, TIMING_BASE_PT, ctx); 1177 timings(C2_B283, TIMING_RAND_PT, ctx); 1178 timings(C2_B283, TIMING_SIMUL, ctx); 1179 timings(C2_K409, TIMING_BASE_PT, ctx); 1180 timings(C2_K409, TIMING_RAND_PT, ctx); 1181 timings(C2_K409, TIMING_SIMUL, ctx); 1182 timings(C2_B409, TIMING_BASE_PT, ctx); 1183 timings(C2_B409, TIMING_RAND_PT, ctx); 1184 timings(C2_B409, TIMING_SIMUL, ctx); 1185 timings(C2_K571, TIMING_BASE_PT, ctx); 1186 timings(C2_K571, TIMING_RAND_PT, ctx); 1187 timings(C2_K571, TIMING_SIMUL, ctx); 1188 timings(C2_B571, TIMING_BASE_PT, ctx); 1189 timings(C2_B571, TIMING_RAND_PT, ctx); 1190 timings(C2_B571, TIMING_SIMUL, ctx); 1191 #endif 1192 1193 1194 if (ctx) 1195 BN_CTX_free(ctx); 1196 BN_free(p); BN_free(a); BN_free(b); 1197 EC_GROUP_free(group); 1198 EC_POINT_free(P); 1199 EC_POINT_free(Q); 1200 EC_POINT_free(R); 1201 BN_free(x); BN_free(y); BN_free(z); BN_free(cof); 1202 1203 if (C2_K163) EC_GROUP_free(C2_K163); 1204 if (C2_B163) EC_GROUP_free(C2_B163); 1205 if (C2_K233) EC_GROUP_free(C2_K233); 1206 if (C2_B233) EC_GROUP_free(C2_B233); 1207 if (C2_K283) EC_GROUP_free(C2_K283); 1208 if (C2_B283) EC_GROUP_free(C2_B283); 1209 if (C2_K409) EC_GROUP_free(C2_K409); 1210 if (C2_B409) EC_GROUP_free(C2_B409); 1211 if (C2_K571) EC_GROUP_free(C2_K571); 1212 if (C2_B571) EC_GROUP_free(C2_B571); 1213 1214 } 1215 #endif 1216 1217 static void internal_curve_test(void) 1218 { 1219 EC_builtin_curve *curves = NULL; 1220 size_t crv_len = 0, n = 0; 1221 int ok = 1; 1222 1223 crv_len = EC_get_builtin_curves(NULL, 0); 1224 1225 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); 1226 1227 if (curves == NULL) 1228 return; 1229 1230 if (!EC_get_builtin_curves(curves, crv_len)) 1231 { 1232 OPENSSL_free(curves); 1233 return; 1234 } 1235 1236 fprintf(stdout, "testing internal curves: "); 1237 1238 for (n = 0; n < crv_len; n++) 1239 { 1240 EC_GROUP *group = NULL; 1241 int nid = curves[n].nid; 1242 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) 1243 { 1244 ok = 0; 1245 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" 1246 " curve %s\n", OBJ_nid2sn(nid)); 1247 /* try next curve */ 1248 continue; 1249 } 1250 if (!EC_GROUP_check(group, NULL)) 1251 { 1252 ok = 0; 1253 fprintf(stdout, "\nEC_GROUP_check() failed with" 1254 " curve %s\n", OBJ_nid2sn(nid)); 1255 EC_GROUP_free(group); 1256 /* try the next curve */ 1257 continue; 1258 } 1259 fprintf(stdout, "."); 1260 fflush(stdout); 1261 EC_GROUP_free(group); 1262 } 1263 if (ok) 1264 fprintf(stdout, " ok\n\n"); 1265 else 1266 { 1267 fprintf(stdout, " failed\n\n"); 1268 ABORT; 1269 } 1270 OPENSSL_free(curves); 1271 return; 1272 } 1273 1274 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 1275 /* nistp_test_params contains magic numbers for testing our optimized 1276 * implementations of several NIST curves with characteristic > 3. */ 1277 struct nistp_test_params 1278 { 1279 const EC_METHOD* (*meth) (); 1280 int degree; 1281 /* Qx, Qy and D are taken from 1282 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf 1283 * Otherwise, values are standard curve parameters from FIPS 180-3 */ 1284 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; 1285 }; 1286 1287 static const struct nistp_test_params nistp_tests_params[] = 1288 { 1289 { 1290 /* P-224 */ 1291 EC_GFp_nistp224_method, 1292 224, 1293 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */ 1294 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */ 1295 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */ 1296 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */ 1297 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */ 1298 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */ 1299 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */ 1300 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */ 1301 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */ 1302 }, 1303 { 1304 /* P-256 */ 1305 EC_GFp_nistp256_method, 1306 256, 1307 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */ 1308 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */ 1309 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */ 1310 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */ 1311 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */ 1312 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */ 1313 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */ 1314 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */ 1315 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */ 1316 }, 1317 { 1318 /* P-521 */ 1319 EC_GFp_nistp521_method, 1320 521, 1321 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */ 1322 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */ 1323 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */ 1324 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */ 1325 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */ 1326 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */ 1327 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */ 1328 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */ 1329 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */ 1330 }, 1331 }; 1332 1333 void nistp_single_test(const struct nistp_test_params *test) 1334 { 1335 BN_CTX *ctx; 1336 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; 1337 EC_GROUP *NISTP; 1338 EC_POINT *G, *P, *Q, *Q_CHECK; 1339 1340 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree); 1341 ctx = BN_CTX_new(); 1342 p = BN_new(); 1343 a = BN_new(); 1344 b = BN_new(); 1345 x = BN_new(); y = BN_new(); 1346 m = BN_new(); n = BN_new(); order = BN_new(); 1347 1348 NISTP = EC_GROUP_new(test->meth()); 1349 if(!NISTP) ABORT; 1350 if (!BN_hex2bn(&p, test->p)) ABORT; 1351 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; 1352 if (!BN_hex2bn(&a, test->a)) ABORT; 1353 if (!BN_hex2bn(&b, test->b)) ABORT; 1354 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT; 1355 G = EC_POINT_new(NISTP); 1356 P = EC_POINT_new(NISTP); 1357 Q = EC_POINT_new(NISTP); 1358 Q_CHECK = EC_POINT_new(NISTP); 1359 if(!BN_hex2bn(&x, test->Qx)) ABORT; 1360 if(!BN_hex2bn(&y, test->Qy)) ABORT; 1361 if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT; 1362 if (!BN_hex2bn(&x, test->Gx)) ABORT; 1363 if (!BN_hex2bn(&y, test->Gy)) ABORT; 1364 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT; 1365 if (!BN_hex2bn(&order, test->order)) ABORT; 1366 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; 1367 1368 fprintf(stdout, "verify degree ... "); 1369 if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT; 1370 fprintf(stdout, "ok\n"); 1371 1372 fprintf(stdout, "NIST test vectors ... "); 1373 if (!BN_hex2bn(&n, test->d)) ABORT; 1374 /* fixed point multiplication */ 1375 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); 1376 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1377 /* random point multiplication */ 1378 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); 1379 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1380 1381 /* set generator to P = 2*G, where G is the standard generator */ 1382 if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT; 1383 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT; 1384 /* set the scalar to m=n/2, where n is the NIST test scalar */ 1385 if (!BN_rshift(m, n, 1)) ABORT; 1386 1387 /* test the non-standard generator */ 1388 /* fixed point multiplication */ 1389 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); 1390 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1391 /* random point multiplication */ 1392 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); 1393 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1394 1395 /* now repeat all tests with precomputation */ 1396 if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT; 1397 1398 /* fixed point multiplication */ 1399 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); 1400 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1401 /* random point multiplication */ 1402 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); 1403 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1404 1405 /* reset generator */ 1406 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; 1407 /* fixed point multiplication */ 1408 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); 1409 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1410 /* random point multiplication */ 1411 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); 1412 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; 1413 1414 fprintf(stdout, "ok\n"); 1415 group_order_tests(NISTP); 1416 #if 0 1417 timings(NISTP, TIMING_BASE_PT, ctx); 1418 timings(NISTP, TIMING_RAND_PT, ctx); 1419 #endif 1420 EC_GROUP_free(NISTP); 1421 EC_POINT_free(G); 1422 EC_POINT_free(P); 1423 EC_POINT_free(Q); 1424 EC_POINT_free(Q_CHECK); 1425 BN_free(n); 1426 BN_free(m); 1427 BN_free(p); 1428 BN_free(a); 1429 BN_free(b); 1430 BN_free(x); 1431 BN_free(y); 1432 BN_free(order); 1433 BN_CTX_free(ctx); 1434 } 1435 1436 void nistp_tests() 1437 { 1438 unsigned i; 1439 1440 for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++) 1441 { 1442 nistp_single_test(&nistp_tests_params[i]); 1443 } 1444 } 1445 #endif 1446 1447 static const char rnd_seed[] = "string to make the random number generator think it has entropy"; 1448 1449 int main(int argc, char *argv[]) 1450 { 1451 1452 /* enable memory leak checking unless explicitly disabled */ 1453 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) 1454 { 1455 CRYPTO_malloc_debug_init(); 1456 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); 1457 } 1458 else 1459 { 1460 /* OPENSSL_DEBUG_MEMORY=off */ 1461 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); 1462 } 1463 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); 1464 ERR_load_crypto_strings(); 1465 1466 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ 1467 1468 prime_field_tests(); 1469 puts(""); 1470 #ifndef OPENSSL_NO_EC2M 1471 char2_field_tests(); 1472 #endif 1473 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 1474 nistp_tests(); 1475 #endif 1476 /* test the internal curves */ 1477 internal_curve_test(); 1478 1479 #ifndef OPENSSL_NO_ENGINE 1480 ENGINE_cleanup(); 1481 #endif 1482 CRYPTO_cleanup_all_ex_data(); 1483 ERR_free_strings(); 1484 ERR_remove_thread_state(NULL); 1485 CRYPTO_mem_leaks_fp(stderr); 1486 1487 return 0; 1488 } 1489 #endif 1490