crypto/ec/ectest.c

   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  * In addition, Sun covenants to all licensees who provide a reciprocal
  68  * covenant with respect to their own patents if any, not to sue under
  69  * current and future patent claims necessarily infringed by the making,
  70  * using, practicing, selling, offering for sale and/or otherwise
  71  * disposing of the Contribution as delivered hereunder
  72  * (or portions thereof), provided that such covenant shall not apply:
  73  *  1) for code that a licensee deletes from the Contribution;
  74  *  2) separates from the Contribution; or
  75  *  3) for infringements caused by:
  76  *       i) the modification of the Contribution or
  77  *      ii) the combination of the Contribution with other software or
  78  *          devices where such combination causes the infringement.
  79  *
  80  * The elliptic curve binary polynomial software is originally written by
  81  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  82  *
  83  */
  84
  85 #include <stdio.h>
  86 #include <stdlib.h>
  87 #include <string.h>
  88 #include <time.h>
  89
  90
  91 #ifdef OPENSSL_NO_EC
  92 int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
  93 #else
  94
  95
  96 #include <openssl/ec.h>
  97 #include <openssl/engine.h>
  98 #include <openssl/err.h>
  99 #include <openssl/obj_mac.h>
 100
 101 #define ABORT do { \
 102         fflush(stdout); \
 103         fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
 104         ERR_print_errors_fp(stderr); \
 105         exit(1); \
 106 } while (0)
 107
 108 void prime_field_tests(void);
 109 void char2_field_tests(void);
 110
 111 #if 0
 112 static void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
 113         {
 114         clock_t clck;
 115         int i, j;
 116         BIGNUM *s;
 117         BIGNUM *r[10], *r0[10];
 118         EC_POINT *P;
 119
 120         s = BN_new();
 121         if (s == NULL) ABORT;
 122
 123         fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
 124         if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
 125         fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
 126         fflush(stdout);
 127
 128         P = EC_POINT_new(group);
 129         if (P == NULL) ABORT;
 130         EC_POINT_copy(P, EC_GROUP_get0_generator(group));
 131
 132         for (i = 0; i < 10; i++)
 133                 {
 134                 if ((r[i] = BN_new()) == NULL) ABORT;
 135                 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
 136                 if (multi)
 137                         {
 138                         if ((r0[i] = BN_new()) == NULL) ABORT;
 139                         if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
 140                         }
 141                 }
 142
 143         clck = clock();
 144         for (i = 0; i < 10; i++)
 145                 {
 146                 for (j = 0; j < 10; j++)
 147                         {
 148                         if (!EC_POINT_mul(group, P, r[i], multi ? P : NULL, multi ? r0[i] : NULL, ctx)) ABORT;
 149                         }
 150                 }
 151         fprintf(stdout, "\n");
 152
 153         clck = clock() - clck;
 154
 155 #ifdef CLOCKS_PER_SEC
 156         /* "To determine the time in seconds, the value returned
 157          * by the clock function should be divided by the value
 158          * of the macro CLOCKS_PER_SEC."
 159          *                                       -- ISO/IEC 9899 */
 160 #       define UNIT "s"
 161 #else
 162         /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
 163          *                            -- cc on NeXTstep/OpenStep */
 164 #       define UNIT "units"
 165 #       define CLOCKS_PER_SEC 1
 166 #endif
 167
 168         fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
 169                 multi ? "s*P+t*Q operations" : "point multiplications",
 170                 (double)clck/CLOCKS_PER_SEC);
 171         fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
 172
 173         EC_POINT_free(P);
 174         BN_free(s);
 175         for (i = 0; i < 10; i++)
 176                 {
 177                 BN_free(r[i]);
 178                 if (multi) BN_free(r0[i]);
 179                 }
 180         }
 181 #endif
 182
 183 void prime_field_tests()
 184         {
 185         BN_CTX *ctx = NULL;
 186         BIGNUM *p, *a, *b;
 187         EC_GROUP *group;
 188         EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
 189         EC_POINT *P, *Q, *R;
 190         BIGNUM *x, *y, *z;
 191         unsigned char buf[100];
 192         size_t i, len;
 193         int k;
 194
 195 #if 1 /* optional */
 196         ctx = BN_CTX_new();
 197         if (!ctx) ABORT;
 198 #endif
 199
 200         p = BN_new();
 201         a = BN_new();
 202         b = BN_new();
 203         if (!p || !a || !b) ABORT;
 204
 205         if (!BN_hex2bn(&p, "17")) ABORT;
 206         if (!BN_hex2bn(&a, "1")) ABORT;
 207         if (!BN_hex2bn(&b, "1")) ABORT;
 208
 209         group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
 210                                                      * so that the library gets to choose the EC_METHOD */
 211         if (!group) ABORT;
 212
 213         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 214
 215         {
 216                 EC_GROUP *tmp;
 217                 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 218                 if (!tmp) ABORT;
 219                 if (!EC_GROUP_copy(tmp, group));
 220                 EC_GROUP_free(group);
 221                 group = tmp;
 222         }
 223
 224         if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
 225
 226         fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
 227         BN_print_fp(stdout, p);
 228         fprintf(stdout, ")\n     a = 0x");
 229         BN_print_fp(stdout, a);
 230         fprintf(stdout, "\n     b = 0x");
 231         BN_print_fp(stdout, b);
 232         fprintf(stdout, "\n");
 233
 234         P = EC_POINT_new(group);
 235         Q = EC_POINT_new(group);
 236         R = EC_POINT_new(group);
 237         if (!P || !Q || !R) ABORT;
 238
 239         if (!EC_POINT_set_to_infinity(group, P)) ABORT;
 240         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 241
 242         buf[0] = 0;
 243         if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
 244
 245         if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
 246         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 247
 248         x = BN_new();
 249         y = BN_new();
 250         z = BN_new();
 251         if (!x || !y || !z) ABORT;
 252
 253         if (!BN_hex2bn(&x, "D")) ABORT;
 254         if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
 255         if (!EC_POINT_is_on_curve(group, Q, ctx))
 256                 {
 257                 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
 258                 fprintf(stderr, "Point is not on curve: x = 0x");
 259                 BN_print_fp(stderr, x);
 260                 fprintf(stderr, ", y = 0x");
 261                 BN_print_fp(stderr, y);
 262                 fprintf(stderr, "\n");
 263                 ABORT;
 264                 }
 265
 266         fprintf(stdout, "A cyclic subgroup:\n");
 267         k = 100;
 268         do
 269                 {
 270                 if (k-- == 0) ABORT;
 271
 272                 if (EC_POINT_is_at_infinity(group, P))
 273                         fprintf(stdout, "     point at infinity\n");
 274                 else
 275                         {
 276                         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 277
 278                         fprintf(stdout, "     x = 0x");
 279                         BN_print_fp(stdout, x);
 280                         fprintf(stdout, ", y = 0x");
 281                         BN_print_fp(stdout, y);
 282                         fprintf(stdout, "\n");
 283                         }
 284
 285                 if (!EC_POINT_copy(R, P)) ABORT;
 286                 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
 287
 288 #if 0 /* optional */
 289                 {
 290                         EC_POINT *points[3];
 291
 292                         points[0] = R;
 293                         points[1] = Q;
 294                         points[2] = P;
 295                         if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
 296                 }
 297 #endif
 298
 299                 }
 300         while (!EC_POINT_is_at_infinity(group, P));
 301
 302         if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
 303         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 304
 305         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
 306         if (len == 0) ABORT;
 307         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 308         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 309         fprintf(stdout, "Generator as octect string, compressed form:\n     ");
 310         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 311
 312         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
 313         if (len == 0) ABORT;
 314         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 315         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 316         fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n     ");
 317         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 318
 319         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
 320         if (len == 0) ABORT;
 321         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 322         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 323         fprintf(stdout, "\nGenerator as octect string, hybrid form:\n     ");
 324         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 325
 326         if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
 327         fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
 328         BN_print_fp(stdout, x);
 329         fprintf(stdout, ", Y = 0x");
 330         BN_print_fp(stdout, y);
 331         fprintf(stdout, ", Z = 0x");
 332         BN_print_fp(stdout, z);
 333         fprintf(stdout, "\n");
 334
 335         if (!EC_POINT_invert(group, P, ctx)) ABORT;
 336         if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
 337
 338
 339         /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 340
 341         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
 342         if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
 343         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
 344         if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
 345         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 346
 347         if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
 348         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
 349         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 350         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
 351         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
 352
 353         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 354         fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
 355         BN_print_fp(stdout, x);
 356         fprintf(stdout, "\n     y = 0x");
 357         BN_print_fp(stdout, y);
 358         fprintf(stdout, "\n");
 359         /* G_y value taken from the standard: */
 360         if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
 361         if (0 != BN_cmp(y, z)) ABORT;
 362
 363         fprintf(stdout, "verify degree ...");
 364         if (EC_GROUP_get_degree(group) != 192) ABORT;
 365         fprintf(stdout, " ok\n");
 366
 367         fprintf(stdout, "verify group order ...");
 368         fflush(stdout);
 369         if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
 370         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 371         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 372         fprintf(stdout, ".");
 373         fflush(stdout);
 374         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
 375         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 376         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 377         fprintf(stdout, " ok\n");
 378
 379         if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
 380         if (!EC_GROUP_copy(P_192, group)) ABORT;
 381
 382
 383         /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 384
 385         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
 386         if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
 387         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
 388         if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
 389         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 390
 391         if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
 392         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
 393         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 394         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
 395         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
 396
 397         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 398         fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
 399         BN_print_fp(stdout, x);
 400         fprintf(stdout, "\n     y = 0x");
 401         BN_print_fp(stdout, y);
 402         fprintf(stdout, "\n");
 403         /* G_y value taken from the standard: */
 404         if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
 405         if (0 != BN_cmp(y, z)) ABORT;
 406
 407         fprintf(stdout, "verify degree ...");
 408         if (EC_GROUP_get_degree(group) != 224) ABORT;
 409         fprintf(stdout, " ok\n");
 410
 411         fprintf(stdout, "verify group order ...");
 412         fflush(stdout);
 413         if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
 414         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 415         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 416         fprintf(stdout, ".");
 417         fflush(stdout);
 418         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
 419         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 420         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 421         fprintf(stdout, " ok\n");
 422
 423         if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
 424         if (!EC_GROUP_copy(P_224, group)) ABORT;
 425
 426
 427         /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 428
 429         if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
 430         if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
 431         if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
 432         if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
 433         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 434
 435         if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
 436         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
 437         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 438         if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
 439                 "84F3B9CAC2FC632551")) ABORT;
 440         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
 441
 442         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 443         fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
 444         BN_print_fp(stdout, x);
 445         fprintf(stdout, "\n     y = 0x");
 446         BN_print_fp(stdout, y);
 447         fprintf(stdout, "\n");
 448         /* G_y value taken from the standard: */
 449         if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
 450         if (0 != BN_cmp(y, z)) ABORT;
 451
 452         fprintf(stdout, "verify degree ...");
 453         if (EC_GROUP_get_degree(group) != 256) ABORT;
 454         fprintf(stdout, " ok\n");
 455
 456         fprintf(stdout, "verify group order ...");
 457         fflush(stdout);
 458         if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
 459         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 460         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 461         fprintf(stdout, ".");
 462         fflush(stdout);
 463         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
 464         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 465         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 466         fprintf(stdout, " ok\n");
 467
 468         if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
 469         if (!EC_GROUP_copy(P_256, group)) ABORT;
 470
 471
 472         /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 473
 474         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 475                 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
 476         if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
 477         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 478                 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
 479         if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
 480                 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
 481         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 482
 483         if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
 484                 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
 485         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
 486         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 487         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 488                 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
 489         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
 490
 491         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 492         fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
 493         BN_print_fp(stdout, x);
 494         fprintf(stdout, "\n     y = 0x");
 495         BN_print_fp(stdout, y);
 496         fprintf(stdout, "\n");
 497         /* G_y value taken from the standard: */
 498         if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
 499                 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
 500         if (0 != BN_cmp(y, z)) ABORT;
 501
 502         fprintf(stdout, "verify degree ...");
 503         if (EC_GROUP_get_degree(group) != 384) ABORT;
 504         fprintf(stdout, " ok\n");
 505
 506         fprintf(stdout, "verify group order ...");
 507         fflush(stdout);
 508         if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
 509         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 510         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 511         fprintf(stdout, ".");
 512         fflush(stdout);
 513         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
 514         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 515         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 516         fprintf(stdout, " ok\n");
 517
 518         if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
 519         if (!EC_GROUP_copy(P_384, group)) ABORT;
 520
 521
 522         /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 523
 524         if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 525                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 526                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
 527         if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
 528         if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 529                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 530                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
 531         if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
 532                 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
 533                 "DF883D2C34F1EF451FD46B503F00")) ABORT;
 534         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
 535
 536         if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
 537                 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
 538                 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
 539         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
 540         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 541         if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 542                 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
 543                 "C9B8899C47AEBB6FB71E91386409")) ABORT;
 544         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
 545
 546         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
 547         fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
 548         BN_print_fp(stdout, x);
 549         fprintf(stdout, "\n     y = 0x");
 550         BN_print_fp(stdout, y);
 551         fprintf(stdout, "\n");
 552         /* G_y value taken from the standard: */
 553         if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
 554                 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
 555                 "7086A272C24088BE94769FD16650")) ABORT;
 556         if (0 != BN_cmp(y, z)) ABORT;
 557
 558         fprintf(stdout, "verify degree ...");
 559         if (EC_GROUP_get_degree(group) != 521) ABORT;
 560         fprintf(stdout, " ok\n");
 561
 562         fprintf(stdout, "verify group order ...");
 563         fflush(stdout);
 564         if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
 565         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 566         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 567         fprintf(stdout, ".");
 568         fflush(stdout);
 569         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
 570         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
 571         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
 572         fprintf(stdout, " ok\n");
 573
 574         if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
 575         if (!EC_GROUP_copy(P_521, group)) ABORT;
 576
 577
 578         /* more tests using the last curve */
 579
 580         if (!EC_POINT_copy(Q, P)) ABORT;
 581         if (EC_POINT_is_at_infinity(group, Q)) ABORT;
 582         if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
 583         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
 584         if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
 585
 586         if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
 587         if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
 588         if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
 589
 590         {
 591                 const EC_POINT *points[3];
 592                 const BIGNUM *scalars[3];
 593
 594                 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
 595                 points[0] = Q;
 596                 points[1] = Q;
 597                 points[2] = Q;
 598
 599                 if (!BN_add(y, z, BN_value_one())) ABORT;
 600                 if (BN_is_odd(y)) ABORT;
 601                 if (!BN_rshift1(y, y)) ABORT;
 602                 scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
 603                 scalars[1] = y;
 604
 605                 fprintf(stdout, "combined multiplication ...");
 606                 fflush(stdout);
 607
 608                 /* z is still the group order */
 609                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
 610                 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
 611                 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
 612                 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
 613
 614                 fprintf(stdout, ".");
 615                 fflush(stdout);
 616
 617                 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
 618                 if (!BN_add(z, z, y)) ABORT;
 619                 z->neg = 1;
 620                 scalars[0] = y;
 621                 scalars[1] = z; /* z = -(order + y) */
 622
 623                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
 624                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 625
 626                 fprintf(stdout, ".");
 627                 fflush(stdout);
 628
 629                 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
 630                 if (!BN_add(z, x, y)) ABORT;
 631                 z->neg = 1;
 632                 scalars[0] = x;
 633                 scalars[1] = y;
 634                 scalars[2] = z; /* z = -(x+y) */
 635
 636                 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
 637                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 638
 639                 fprintf(stdout, " ok\n\n");
 640         }
 641
 642
 643 #if 0
 644         timings(P_192, 0, ctx);
 645         timings(P_192, 1, ctx);
 646         timings(P_224, 0, ctx);
 647         timings(P_224, 1, ctx);
 648         timings(P_256, 0, ctx);
 649         timings(P_256, 1, ctx);
 650         timings(P_384, 0, ctx);
 651         timings(P_384, 1, ctx);
 652         timings(P_521, 0, ctx);
 653         timings(P_521, 1, ctx);
 654 #endif
 655
 656
 657         if (ctx)
 658                 BN_CTX_free(ctx);
 659         BN_free(p); BN_free(a); BN_free(b);
 660         EC_GROUP_free(group);
 661         EC_POINT_free(P);
 662         EC_POINT_free(Q);
 663         EC_POINT_free(R);
 664         BN_free(x); BN_free(y); BN_free(z);
 665
 666         if (P_192) EC_GROUP_free(P_192);
 667         if (P_224) EC_GROUP_free(P_224);
 668         if (P_256) EC_GROUP_free(P_256);
 669         if (P_384) EC_GROUP_free(P_384);
 670         if (P_521) EC_GROUP_free(P_521);
 671
 672         }
 673
 674 /* Change test based on whether binary point compression is enabled or not. */
 675 #ifdef OPENSSL_EC_BIN_PT_COMP
 676 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 677         if (!BN_hex2bn(&x, _x)) ABORT; \
 678         if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
 679         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
 680         if (!BN_hex2bn(&z, _order)) ABORT; \
 681         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 682         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 683         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 684         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 685         BN_print_fp(stdout, x); \
 686         fprintf(stdout, "\n     y = 0x"); \
 687         BN_print_fp(stdout, y); \
 688         fprintf(stdout, "\n"); \
 689         /* G_y value taken from the standard: */ \
 690         if (!BN_hex2bn(&z, _y)) ABORT; \
 691         if (0 != BN_cmp(y, z)) ABORT;
 692 #else
 693 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 694         if (!BN_hex2bn(&x, _x)) ABORT; \
 695         if (!BN_hex2bn(&y, _y)) ABORT; \
 696         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 697         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
 698         if (!BN_hex2bn(&z, _order)) ABORT; \
 699         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 700         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 701         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 702         BN_print_fp(stdout, x); \
 703         fprintf(stdout, "\n     y = 0x"); \
 704         BN_print_fp(stdout, y); \
 705         fprintf(stdout, "\n");
 706 #endif
 707
 708 #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 709         if (!BN_hex2bn(&p, _p)) ABORT; \
 710         if (!BN_hex2bn(&a, _a)) ABORT; \
 711         if (!BN_hex2bn(&b, _b)) ABORT; \
 712         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
 713         CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 714         fprintf(stdout, "verify degree ..."); \
 715         if (EC_GROUP_get_degree(group) != _degree) ABORT; \
 716         fprintf(stdout, " ok\n"); \
 717         fprintf(stdout, "verify group order ..."); \
 718         fflush(stdout); \
 719         if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \
 720         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
 721         if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
 722         fprintf(stdout, "."); \
 723         fflush(stdout); \
 724         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \
 725         if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
 726         if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
 727         fprintf(stdout, " ok\n"); \
 728         if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
 729         if (!EC_GROUP_copy(_variable, group)) ABORT;
 730
 731 void char2_field_tests()
 732         {
 733         BN_CTX *ctx = NULL;
 734         BIGNUM *p, *a, *b;
 735         EC_GROUP *group;
 736         EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
 737         EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
 738         EC_POINT *P, *Q, *R;
 739         BIGNUM *x, *y, *z, *cof;
 740         unsigned char buf[100];
 741         size_t i, len;
 742         int k;
 743
 744 #if 1 /* optional */
 745         ctx = BN_CTX_new();
 746         if (!ctx) ABORT;
 747 #endif
 748
 749         p = BN_new();
 750         a = BN_new();
 751         b = BN_new();
 752         if (!p || !a || !b) ABORT;
 753
 754         if (!BN_hex2bn(&p, "13")) ABORT;
 755         if (!BN_hex2bn(&a, "3")) ABORT;
 756         if (!BN_hex2bn(&b, "1")) ABORT;
 757
 758         group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
 759                                                         * so that the library gets to choose the EC_METHOD */
 760         if (!group) ABORT;
 761         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
 762
 763         {
 764                 EC_GROUP *tmp;
 765                 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 766                 if (!tmp) ABORT;
 767                 if (!EC_GROUP_copy(tmp, group));
 768                 EC_GROUP_free(group);
 769                 group = tmp;
 770         }
 771
 772         if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
 773
 774         fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
 775         BN_print_fp(stdout, p);
 776         fprintf(stdout, ")\n     a = 0x");
 777         BN_print_fp(stdout, a);
 778         fprintf(stdout, "\n     b = 0x");
 779         BN_print_fp(stdout, b);
 780         fprintf(stdout, "\n(0x... means binary polynomial)\n");
 781
 782         P = EC_POINT_new(group);
 783         Q = EC_POINT_new(group);
 784         R = EC_POINT_new(group);
 785         if (!P || !Q || !R) ABORT;
 786
 787         if (!EC_POINT_set_to_infinity(group, P)) ABORT;
 788         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 789
 790         buf[0] = 0;
 791         if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
 792
 793         if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
 794         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 795
 796         x = BN_new();
 797         y = BN_new();
 798         z = BN_new();
 799         cof = BN_new();
 800         if (!x || !y || !z || !cof) ABORT;
 801
 802         if (!BN_hex2bn(&x, "6")) ABORT;
 803 /* Change test based on whether binary point compression is enabled or not. */
 804 #ifdef OPENSSL_EC_BIN_PT_COMP
 805         if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
 806 #else
 807         if (!BN_hex2bn(&y, "8")) ABORT;
 808         if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
 809 #endif
 810         if (!EC_POINT_is_on_curve(group, Q, ctx))
 811                 {
 812 /* Change test based on whether binary point compression is enabled or not. */
 813 #ifdef OPENSSL_EC_BIN_PT_COMP
 814                 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
 815 #endif
 816                 fprintf(stderr, "Point is not on curve: x = 0x");
 817                 BN_print_fp(stderr, x);
 818                 fprintf(stderr, ", y = 0x");
 819                 BN_print_fp(stderr, y);
 820                 fprintf(stderr, "\n");
 821                 ABORT;
 822                 }
 823
 824         fprintf(stdout, "A cyclic subgroup:\n");
 825         k = 100;
 826         do
 827                 {
 828                 if (k-- == 0) ABORT;
 829
 830                 if (EC_POINT_is_at_infinity(group, P))
 831                         fprintf(stdout, "     point at infinity\n");
 832                 else
 833                         {
 834                         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
 835
 836                         fprintf(stdout, "     x = 0x");
 837                         BN_print_fp(stdout, x);
 838                         fprintf(stdout, ", y = 0x");
 839                         BN_print_fp(stdout, y);
 840                         fprintf(stdout, "\n");
 841                         }
 842
 843                 if (!EC_POINT_copy(R, P)) ABORT;
 844                 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
 845                 }
 846         while (!EC_POINT_is_at_infinity(group, P));
 847
 848         if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
 849         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
 850
 851 /* Change test based on whether binary point compression is enabled or not. */
 852 #ifdef OPENSSL_EC_BIN_PT_COMP
 853         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
 854         if (len == 0) ABORT;
 855         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 856         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 857         fprintf(stdout, "Generator as octet string, compressed form:\n     ");
 858         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 859 #endif
 860
 861         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
 862         if (len == 0) ABORT;
 863         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 864         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 865         fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
 866         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 867
 868 /* Change test based on whether binary point compression is enabled or not. */
 869 #ifdef OPENSSL_EC_BIN_PT_COMP
 870         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
 871         if (len == 0) ABORT;
 872         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
 873         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
 874         fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
 875         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
 876 #endif
 877
 878         fprintf(stdout, "\n");
 879
 880         if (!EC_POINT_invert(group, P, ctx)) ABORT;
 881         if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
 882
 883
 884         /* Curve K-163 (FIPS PUB 186-2, App. 6) */
 885         CHAR2_CURVE_TEST
 886                 (
 887                 "NIST curve K-163",
 888                 "0800000000000000000000000000000000000000C9",
 889                 "1",
 890                 "1",
 891                 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
 892                 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
 893                 1,
 894                 "04000000000000000000020108A2E0CC0D99F8A5EF",
 895                 "2",
 896                 163,
 897                 C2_K163
 898                 );
 899
 900         /* Curve B-163 (FIPS PUB 186-2, App. 6) */
 901         CHAR2_CURVE_TEST
 902                 (
 903                 "NIST curve B-163",
 904                 "0800000000000000000000000000000000000000C9",
 905                 "1",
 906                 "020A601907B8C953CA1481EB10512F78744A3205FD",
 907                 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
 908                 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
 909                 1,
 910                 "040000000000000000000292FE77E70C12A4234C33",
 911                 "2",
 912                 163,
 913                 C2_B163
 914                 );
 915
 916         /* Curve K-233 (FIPS PUB 186-2, App. 6) */
 917         CHAR2_CURVE_TEST
 918                 (
 919                 "NIST curve K-233",
 920                 "020000000000000000000000000000000000000004000000000000000001",
 921                 "0",
 922                 "1",
 923                 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
 924                 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
 925                 0,
 926                 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
 927                 "4",
 928                 233,
 929                 C2_K233
 930                 );
 931
 932         /* Curve B-233 (FIPS PUB 186-2, App. 6) */
 933         CHAR2_CURVE_TEST
 934                 (
 935                 "NIST curve B-233",
 936                 "020000000000000000000000000000000000000004000000000000000001",
 937                 "000000000000000000000000000000000000000000000000000000000001",
 938                 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
 939                 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
 940                 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
 941                 1,
 942                 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
 943                 "2",
 944                 233,
 945                 C2_B233
 946                 );
 947
 948         /* Curve K-283 (FIPS PUB 186-2, App. 6) */
 949         CHAR2_CURVE_TEST
 950                 (
 951                 "NIST curve K-283",
 952                 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
 953                 "0",
 954                 "1",
 955                 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
 956                 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
 957                 0,
 958                 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
 959                 "4",
 960                 283,
 961                 C2_K283
 962                 );
 963
 964         /* Curve B-283 (FIPS PUB 186-2, App. 6) */
 965         CHAR2_CURVE_TEST
 966                 (
 967                 "NIST curve B-283",
 968                 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
 969                 "000000000000000000000000000000000000000000000000000000000000000000000001",
 970                 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
 971                 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
 972                 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
 973                 1,
 974                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
 975                 "2",
 976                 283,
 977                 C2_B283
 978                 );
 979
 980         /* Curve K-409 (FIPS PUB 186-2, App. 6) */
 981         CHAR2_CURVE_TEST
 982                 (
 983                 "NIST curve K-409",
 984                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
 985                 "0",
 986                 "1",
 987                 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
 988                 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
 989                 1,
 990                 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
 991                 "4",
 992                 409,
 993                 C2_K409
 994                 );
 995
 996         /* Curve B-409 (FIPS PUB 186-2, App. 6) */
 997         CHAR2_CURVE_TEST
 998                 (
 999                 "NIST curve B-409",
1000                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1001                 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1002                 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1003                 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1004                 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1005                 1,
1006                 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1007                 "2",
1008                 409,
1009                 C2_B409
1010                 );
1011
1012         /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1013         CHAR2_CURVE_TEST
1014                 (
1015                 "NIST curve K-571",
1016                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1017                 "0",
1018                 "1",
1019                 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1020                 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1021                 0,
1022                 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1023                 "4",
1024                 571,
1025                 C2_K571
1026                 );
1027
1028         /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1029         CHAR2_CURVE_TEST
1030                 (
1031                 "NIST curve B-571",
1032                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1033                 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1034                 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1035                 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1036                 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1037                 1,
1038                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1039                 "2",
1040                 571,
1041                 C2_B571
1042                 );
1043
1044         /* more tests using the last curve */
1045
1046         if (!EC_POINT_copy(Q, P)) ABORT;
1047         if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1048         if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1049         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1050         if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1051
1052         if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1053         if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1054         if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1055
1056         {
1057                 const EC_POINT *points[3];
1058                 const BIGNUM *scalars[3];
1059
1060                 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1061                 points[0] = Q;
1062                 points[1] = Q;
1063                 points[2] = Q;
1064
1065                 if (!BN_add(y, z, BN_value_one())) ABORT;
1066                 if (BN_is_odd(y)) ABORT;
1067                 if (!BN_rshift1(y, y)) ABORT;
1068                 scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
1069                 scalars[1] = y;
1070
1071                 fprintf(stdout, "combined multiplication ...");
1072                 fflush(stdout);
1073
1074                 /* z is still the group order */
1075                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1076                 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1077                 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1078                 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1079
1080                 fprintf(stdout, ".");
1081                 fflush(stdout);
1082
1083                 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1084                 if (!BN_add(z, z, y)) ABORT;
1085                 z->neg = 1;
1086                 scalars[0] = y;
1087                 scalars[1] = z; /* z = -(order + y) */
1088
1089                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1090                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1091
1092                 fprintf(stdout, ".");
1093                 fflush(stdout);
1094
1095                 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1096                 if (!BN_add(z, x, y)) ABORT;
1097                 z->neg = 1;
1098                 scalars[0] = x;
1099                 scalars[1] = y;
1100                 scalars[2] = z; /* z = -(x+y) */
1101
1102                 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1103                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1104
1105                 fprintf(stdout, " ok\n\n");
1106         }
1107
1108
1109 #if 0
1110         timings(C2_K163, 0, ctx);
1111         timings(C2_K163, 1, ctx);
1112         timings(C2_B163, 0, ctx);
1113         timings(C2_B163, 1, ctx);
1114         timings(C2_K233, 0, ctx);
1115         timings(C2_K233, 1, ctx);
1116         timings(C2_B233, 0, ctx);
1117         timings(C2_B233, 1, ctx);
1118         timings(C2_K283, 0, ctx);
1119         timings(C2_K283, 1, ctx);
1120         timings(C2_B283, 0, ctx);
1121         timings(C2_B283, 1, ctx);
1122         timings(C2_K409, 0, ctx);
1123         timings(C2_K409, 1, ctx);
1124         timings(C2_B409, 0, ctx);
1125         timings(C2_B409, 1, ctx);
1126         timings(C2_K571, 0, ctx);
1127         timings(C2_K571, 1, ctx);
1128         timings(C2_B571, 0, ctx);
1129         timings(C2_B571, 1, ctx);
1130 #endif
1131
1132
1133         if (ctx)
1134                 BN_CTX_free(ctx);
1135         BN_free(p); BN_free(a); BN_free(b);
1136         EC_GROUP_free(group);
1137         EC_POINT_free(P);
1138         EC_POINT_free(Q);
1139         EC_POINT_free(R);
1140         BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1141
1142         if (C2_K163) EC_GROUP_free(C2_K163);
1143         if (C2_B163) EC_GROUP_free(C2_B163);
1144         if (C2_K233) EC_GROUP_free(C2_K233);
1145         if (C2_B233) EC_GROUP_free(C2_B233);
1146         if (C2_K283) EC_GROUP_free(C2_K283);
1147         if (C2_B283) EC_GROUP_free(C2_B283);
1148         if (C2_K409) EC_GROUP_free(C2_K409);
1149         if (C2_B409) EC_GROUP_free(C2_B409);
1150         if (C2_K571) EC_GROUP_free(C2_K571);
1151         if (C2_B571) EC_GROUP_free(C2_B571);
1152
1153         }
1154
1155 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1156
1157 int main(int argc, char *argv[])
1158         {
1159
1160         /* enable memory leak checking unless explicitly disabled */
1161         if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1162                 {
1163                 CRYPTO_malloc_debug_init();
1164                 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1165                 }
1166         else
1167                 {
1168                 /* OPENSSL_DEBUG_MEMORY=off */
1169                 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1170                 }
1171         CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1172         ERR_load_crypto_strings();
1173
1174         RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1175
1176         prime_field_tests();
1177         puts("");
1178         char2_field_tests();
1179
1180         ENGINE_cleanup();
1181         CRYPTO_cleanup_all_ex_data();
1182         ERR_free_strings();
1183         ERR_remove_state(0);
1184         CRYPTO_mem_leaks_fp(stderr);
1185
1186         return 0;
1187         }
1188 #endif