test/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  * 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 #ifdef OPENSSL_NO_EC
  83 int main(int argc, char *argv[])
  84 {
  85     puts("Elliptic curves are disabled.");
  86     return 0;
  87 }
  88 #else
  89
  90 # include <openssl/ec.h>
  91 # ifndef OPENSSL_NO_ENGINE
  92 #  include <openssl/engine.h>
  93 # endif
  94 # include <openssl/err.h>
  95 # include <openssl/obj_mac.h>
  96 # include <openssl/objects.h>
  97 # include <openssl/rand.h>
  98 # include <openssl/bn.h>
  99 # include <openssl/opensslconf.h>
 100
 101 # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
 102 /* suppress "too big too optimize" warning */
 103 #  pragma warning(disable:4959)
 104 # endif
 105
 106 # define ABORT do { \
 107         fflush(stdout); \
 108         fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
 109         ERR_print_errors_fp(stderr); \
 110         EXIT(1); \
 111 } while (0)
 112
 113 # define TIMING_BASE_PT 0
 114 # define TIMING_RAND_PT 1
 115 # define TIMING_SIMUL 2
 116
 117 /* test multiplication with group order, long and negative scalars */
 118 static void group_order_tests(EC_GROUP *group)
 119 {
 120     BIGNUM *n1, *n2, *order;
 121     EC_POINT *P = EC_POINT_new(group);
 122     EC_POINT *Q = EC_POINT_new(group);
 123     BN_CTX *ctx = BN_CTX_new();
 124     int i;
 125
 126     n1 = BN_new();
 127     n2 = BN_new();
 128     order = BN_new();
 129     fprintf(stdout, "verify group order ...");
 130     fflush(stdout);
 131     if (!EC_GROUP_get_order(group, order, ctx))
 132         ABORT;
 133     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
 134         ABORT;
 135     if (!EC_POINT_is_at_infinity(group, Q))
 136         ABORT;
 137     fprintf(stdout, ".");
 138     fflush(stdout);
 139     if (!EC_GROUP_precompute_mult(group, ctx))
 140         ABORT;
 141     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
 142         ABORT;
 143     if (!EC_POINT_is_at_infinity(group, Q))
 144         ABORT;
 145     fprintf(stdout, " ok\n");
 146     fprintf(stdout, "long/negative scalar tests ");
 147     for (i = 1; i <= 2; i++) {
 148         const BIGNUM *scalars[6];
 149         const EC_POINT *points[6];
 150
 151         fprintf(stdout, i == 1 ?
 152                 "allowing precomputation ... " :
 153                 "without precomputation ... ");
 154         if (!BN_set_word(n1, i))
 155             ABORT;
 156         /*
 157          * If i == 1, P will be the predefined generator for which
 158          * EC_GROUP_precompute_mult has set up precomputation.
 159          */
 160         if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
 161             ABORT;
 162
 163         if (!BN_one(n1))
 164             ABORT;
 165         /* n1 = 1 - order */
 166         if (!BN_sub(n1, n1, order))
 167             ABORT;
 168         if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
 169             ABORT;
 170         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 171             ABORT;
 172
 173         /* n2 = 1 + order */
 174         if (!BN_add(n2, order, BN_value_one()))
 175             ABORT;
 176         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 177             ABORT;
 178         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 179             ABORT;
 180
 181         /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
 182         if (!BN_mul(n2, n1, n2, ctx))
 183             ABORT;
 184         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 185             ABORT;
 186         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 187             ABORT;
 188
 189         /* n2 = order^2 - 1 */
 190         BN_set_negative(n2, 0);
 191         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 192             ABORT;
 193         /* Add P to verify the result. */
 194         if (!EC_POINT_add(group, Q, Q, P, ctx))
 195             ABORT;
 196         if (!EC_POINT_is_at_infinity(group, Q))
 197             ABORT;
 198
 199         /* Exercise EC_POINTs_mul, including corner cases. */
 200         if (EC_POINT_is_at_infinity(group, P))
 201             ABORT;
 202         scalars[0] = n1;
 203         points[0] = Q;          /* => infinity */
 204         scalars[1] = n2;
 205         points[1] = P;          /* => -P */
 206         scalars[2] = n1;
 207         points[2] = Q;          /* => infinity */
 208         scalars[3] = n2;
 209         points[3] = Q;          /* => infinity */
 210         scalars[4] = n1;
 211         points[4] = P;          /* => P */
 212         scalars[5] = n2;
 213         points[5] = Q;          /* => infinity */
 214         if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
 215             ABORT;
 216         if (!EC_POINT_is_at_infinity(group, P))
 217             ABORT;
 218     }
 219     fprintf(stdout, "ok\n");
 220
 221     EC_POINT_free(P);
 222     EC_POINT_free(Q);
 223     BN_free(n1);
 224     BN_free(n2);
 225     BN_free(order);
 226     BN_CTX_free(ctx);
 227 }
 228
 229 static void prime_field_tests(void)
 230 {
 231     BN_CTX *ctx = NULL;
 232     BIGNUM *p, *a, *b;
 233     EC_GROUP *group;
 234     EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
 235         NULL, *P_384 = NULL, *P_521 = NULL;
 236     EC_POINT *P, *Q, *R;
 237     BIGNUM *x, *y, *z;
 238     unsigned char buf[100];
 239     size_t i, len;
 240     int k;
 241
 242     ctx = BN_CTX_new();
 243     if (!ctx)
 244         ABORT;
 245
 246     p = BN_new();
 247     a = BN_new();
 248     b = BN_new();
 249     if (!p || !a || !b)
 250         ABORT;
 251
 252     if (!BN_hex2bn(&p, "17"))
 253         ABORT;
 254     if (!BN_hex2bn(&a, "1"))
 255         ABORT;
 256     if (!BN_hex2bn(&b, "1"))
 257         ABORT;
 258
 259     group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
 260                                                  * EC_GROUP_new_curve_GFp so
 261                                                  * that the library gets to
 262                                                  * choose the EC_METHOD */
 263     if (!group)
 264         ABORT;
 265
 266     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 267         ABORT;
 268
 269     {
 270         EC_GROUP *tmp;
 271         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 272         if (!tmp)
 273             ABORT;
 274         if (!EC_GROUP_copy(tmp, group))
 275             ABORT;
 276         EC_GROUP_free(group);
 277         group = tmp;
 278     }
 279
 280     if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
 281         ABORT;
 282
 283     fprintf(stdout,
 284             "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
 285     BN_print_fp(stdout, p);
 286     fprintf(stdout, ")\n     a = 0x");
 287     BN_print_fp(stdout, a);
 288     fprintf(stdout, "\n     b = 0x");
 289     BN_print_fp(stdout, b);
 290     fprintf(stdout, "\n");
 291
 292     P = EC_POINT_new(group);
 293     Q = EC_POINT_new(group);
 294     R = EC_POINT_new(group);
 295     if (!P || !Q || !R)
 296         ABORT;
 297
 298     if (!EC_POINT_set_to_infinity(group, P))
 299         ABORT;
 300     if (!EC_POINT_is_at_infinity(group, P))
 301         ABORT;
 302
 303     buf[0] = 0;
 304     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
 305         ABORT;
 306
 307     if (!EC_POINT_add(group, P, P, Q, ctx))
 308         ABORT;
 309     if (!EC_POINT_is_at_infinity(group, P))
 310         ABORT;
 311
 312     x = BN_new();
 313     y = BN_new();
 314     z = BN_new();
 315     if (!x || !y || !z)
 316         ABORT;
 317
 318     if (!BN_hex2bn(&x, "D"))
 319         ABORT;
 320     if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
 321         ABORT;
 322     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
 323         if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
 324             ABORT;
 325         fprintf(stderr, "Point is not on curve: x = 0x");
 326         BN_print_fp(stderr, x);
 327         fprintf(stderr, ", y = 0x");
 328         BN_print_fp(stderr, y);
 329         fprintf(stderr, "\n");
 330         ABORT;
 331     }
 332
 333     fprintf(stdout, "A cyclic subgroup:\n");
 334     k = 100;
 335     do {
 336         if (k-- == 0)
 337             ABORT;
 338
 339         if (EC_POINT_is_at_infinity(group, P))
 340             fprintf(stdout, "     point at infinity\n");
 341         else {
 342             if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 343                 ABORT;
 344
 345             fprintf(stdout, "     x = 0x");
 346             BN_print_fp(stdout, x);
 347             fprintf(stdout, ", y = 0x");
 348             BN_print_fp(stdout, y);
 349             fprintf(stdout, "\n");
 350         }
 351
 352         if (!EC_POINT_copy(R, P))
 353             ABORT;
 354         if (!EC_POINT_add(group, P, P, Q, ctx))
 355             ABORT;
 356
 357     }
 358     while (!EC_POINT_is_at_infinity(group, P));
 359
 360     if (!EC_POINT_add(group, P, Q, R, ctx))
 361         ABORT;
 362     if (!EC_POINT_is_at_infinity(group, P))
 363         ABORT;
 364
 365     len =
 366         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
 367                            sizeof buf, ctx);
 368     if (len == 0)
 369         ABORT;
 370     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 371         ABORT;
 372     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 373         ABORT;
 374     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
 375     for (i = 0; i < len; i++)
 376         fprintf(stdout, "%02X", buf[i]);
 377
 378     len =
 379         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
 380                            sizeof buf, ctx);
 381     if (len == 0)
 382         ABORT;
 383     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 384         ABORT;
 385     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 386         ABORT;
 387     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
 388     for (i = 0; i < len; i++)
 389         fprintf(stdout, "%02X", buf[i]);
 390
 391     len =
 392         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
 393                            ctx);
 394     if (len == 0)
 395         ABORT;
 396     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 397         ABORT;
 398     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 399         ABORT;
 400     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
 401     for (i = 0; i < len; i++)
 402         fprintf(stdout, "%02X", buf[i]);
 403
 404     if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
 405         ABORT;
 406     fprintf(stdout,
 407             "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
 408     BN_print_fp(stdout, x);
 409     fprintf(stdout, ", Y = 0x");
 410     BN_print_fp(stdout, y);
 411     fprintf(stdout, ", Z = 0x");
 412     BN_print_fp(stdout, z);
 413     fprintf(stdout, "\n");
 414
 415     if (!EC_POINT_invert(group, P, ctx))
 416         ABORT;
 417     if (0 != EC_POINT_cmp(group, P, R, ctx))
 418         ABORT;
 419
 420     /*
 421      * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
 422      * 2000) -- not a NIST curve, but commonly used
 423      */
 424
 425     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
 426         ABORT;
 427     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 428         ABORT;
 429     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
 430         ABORT;
 431     if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
 432         ABORT;
 433     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 434         ABORT;
 435
 436     if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
 437         ABORT;
 438     if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
 439         ABORT;
 440     if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 441         ABORT;
 442     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 443         ABORT;
 444     if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
 445         ABORT;
 446     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 447         ABORT;
 448
 449     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 450         ABORT;
 451     fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
 452     BN_print_fp(stdout, x);
 453     fprintf(stdout, "\n     y = 0x");
 454     BN_print_fp(stdout, y);
 455     fprintf(stdout, "\n");
 456     /* G_y value taken from the standard: */
 457     if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
 458         ABORT;
 459     if (0 != BN_cmp(y, z))
 460         ABORT;
 461
 462     fprintf(stdout, "verify degree ...");
 463     if (EC_GROUP_get_degree(group) != 160)
 464         ABORT;
 465     fprintf(stdout, " ok\n");
 466
 467     group_order_tests(group);
 468
 469     if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 470         ABORT;
 471     if (!EC_GROUP_copy(P_160, group))
 472         ABORT;
 473
 474     /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 475
 476     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
 477         ABORT;
 478     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 479         ABORT;
 480     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
 481         ABORT;
 482     if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
 483         ABORT;
 484     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 485         ABORT;
 486
 487     if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
 488         ABORT;
 489     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 490         ABORT;
 491     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 492         ABORT;
 493     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
 494         ABORT;
 495     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 496         ABORT;
 497
 498     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 499         ABORT;
 500     fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
 501     BN_print_fp(stdout, x);
 502     fprintf(stdout, "\n     y = 0x");
 503     BN_print_fp(stdout, y);
 504     fprintf(stdout, "\n");
 505     /* G_y value taken from the standard: */
 506     if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
 507         ABORT;
 508     if (0 != BN_cmp(y, z))
 509         ABORT;
 510
 511     fprintf(stdout, "verify degree ...");
 512     if (EC_GROUP_get_degree(group) != 192)
 513         ABORT;
 514     fprintf(stdout, " ok\n");
 515
 516     group_order_tests(group);
 517
 518     if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 519         ABORT;
 520     if (!EC_GROUP_copy(P_192, group))
 521         ABORT;
 522
 523     /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 524
 525     if (!BN_hex2bn
 526         (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
 527         ABORT;
 528     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 529         ABORT;
 530     if (!BN_hex2bn
 531         (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
 532         ABORT;
 533     if (!BN_hex2bn
 534         (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
 535         ABORT;
 536     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 537         ABORT;
 538
 539     if (!BN_hex2bn
 540         (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
 541         ABORT;
 542     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 543         ABORT;
 544     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 545         ABORT;
 546     if (!BN_hex2bn
 547         (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
 548         ABORT;
 549     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 550         ABORT;
 551
 552     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 553         ABORT;
 554     fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
 555     BN_print_fp(stdout, x);
 556     fprintf(stdout, "\n     y = 0x");
 557     BN_print_fp(stdout, y);
 558     fprintf(stdout, "\n");
 559     /* G_y value taken from the standard: */
 560     if (!BN_hex2bn
 561         (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
 562         ABORT;
 563     if (0 != BN_cmp(y, z))
 564         ABORT;
 565
 566     fprintf(stdout, "verify degree ...");
 567     if (EC_GROUP_get_degree(group) != 224)
 568         ABORT;
 569     fprintf(stdout, " ok\n");
 570
 571     group_order_tests(group);
 572
 573     if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 574         ABORT;
 575     if (!EC_GROUP_copy(P_224, group))
 576         ABORT;
 577
 578     /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 579
 580     if (!BN_hex2bn
 581         (&p,
 582          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
 583         ABORT;
 584     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 585         ABORT;
 586     if (!BN_hex2bn
 587         (&a,
 588          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
 589         ABORT;
 590     if (!BN_hex2bn
 591         (&b,
 592          "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
 593         ABORT;
 594     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 595         ABORT;
 596
 597     if (!BN_hex2bn
 598         (&x,
 599          "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
 600         ABORT;
 601     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 602         ABORT;
 603     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 604         ABORT;
 605     if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
 606                    "84F3B9CAC2FC632551"))
 607         ABORT;
 608     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 609         ABORT;
 610
 611     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 612         ABORT;
 613     fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
 614     BN_print_fp(stdout, x);
 615     fprintf(stdout, "\n     y = 0x");
 616     BN_print_fp(stdout, y);
 617     fprintf(stdout, "\n");
 618     /* G_y value taken from the standard: */
 619     if (!BN_hex2bn
 620         (&z,
 621          "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
 622         ABORT;
 623     if (0 != BN_cmp(y, z))
 624         ABORT;
 625
 626     fprintf(stdout, "verify degree ...");
 627     if (EC_GROUP_get_degree(group) != 256)
 628         ABORT;
 629     fprintf(stdout, " ok\n");
 630
 631     group_order_tests(group);
 632
 633     if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 634         ABORT;
 635     if (!EC_GROUP_copy(P_256, group))
 636         ABORT;
 637
 638     /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 639
 640     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 641                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
 642         ABORT;
 643     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 644         ABORT;
 645     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 646                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
 647         ABORT;
 648     if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
 649                    "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
 650         ABORT;
 651     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 652         ABORT;
 653
 654     if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
 655                    "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
 656         ABORT;
 657     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 658         ABORT;
 659     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 660         ABORT;
 661     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 662                    "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
 663         ABORT;
 664     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 665         ABORT;
 666
 667     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 668         ABORT;
 669     fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
 670     BN_print_fp(stdout, x);
 671     fprintf(stdout, "\n     y = 0x");
 672     BN_print_fp(stdout, y);
 673     fprintf(stdout, "\n");
 674     /* G_y value taken from the standard: */
 675     if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
 676                    "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
 677         ABORT;
 678     if (0 != BN_cmp(y, z))
 679         ABORT;
 680
 681     fprintf(stdout, "verify degree ...");
 682     if (EC_GROUP_get_degree(group) != 384)
 683         ABORT;
 684     fprintf(stdout, " ok\n");
 685
 686     group_order_tests(group);
 687
 688     if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 689         ABORT;
 690     if (!EC_GROUP_copy(P_384, group))
 691         ABORT;
 692
 693     /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 694
 695     if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 696                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 697                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
 698         ABORT;
 699     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 700         ABORT;
 701     if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 702                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 703                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
 704         ABORT;
 705     if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
 706                    "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
 707                    "DF883D2C34F1EF451FD46B503F00"))
 708         ABORT;
 709     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 710         ABORT;
 711
 712     if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
 713                    "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
 714                    "3C1856A429BF97E7E31C2E5BD66"))
 715         ABORT;
 716     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 717         ABORT;
 718     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 719         ABORT;
 720     if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 721                    "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
 722                    "C9B8899C47AEBB6FB71E91386409"))
 723         ABORT;
 724     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 725         ABORT;
 726
 727     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 728         ABORT;
 729     fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
 730     BN_print_fp(stdout, x);
 731     fprintf(stdout, "\n     y = 0x");
 732     BN_print_fp(stdout, y);
 733     fprintf(stdout, "\n");
 734     /* G_y value taken from the standard: */
 735     if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
 736                    "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
 737                    "7086A272C24088BE94769FD16650"))
 738         ABORT;
 739     if (0 != BN_cmp(y, z))
 740         ABORT;
 741
 742     fprintf(stdout, "verify degree ...");
 743     if (EC_GROUP_get_degree(group) != 521)
 744         ABORT;
 745     fprintf(stdout, " ok\n");
 746
 747     group_order_tests(group);
 748
 749     if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 750         ABORT;
 751     if (!EC_GROUP_copy(P_521, group))
 752         ABORT;
 753
 754     /* more tests using the last curve */
 755
 756     if (!EC_POINT_copy(Q, P))
 757         ABORT;
 758     if (EC_POINT_is_at_infinity(group, Q))
 759         ABORT;
 760     if (!EC_POINT_dbl(group, P, P, ctx))
 761         ABORT;
 762     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 763         ABORT;
 764     if (!EC_POINT_invert(group, Q, ctx))
 765         ABORT;                  /* P = -2Q */
 766
 767     if (!EC_POINT_add(group, R, P, Q, ctx))
 768         ABORT;
 769     if (!EC_POINT_add(group, R, R, Q, ctx))
 770         ABORT;
 771     if (!EC_POINT_is_at_infinity(group, R))
 772         ABORT;                  /* R = P + 2Q */
 773
 774     {
 775         const EC_POINT *points[4];
 776         const BIGNUM *scalars[4];
 777         BIGNUM *scalar3;
 778
 779         if (EC_POINT_is_at_infinity(group, Q))
 780             ABORT;
 781         points[0] = Q;
 782         points[1] = Q;
 783         points[2] = Q;
 784         points[3] = Q;
 785
 786         if (!EC_GROUP_get_order(group, z, ctx))
 787             ABORT;
 788         if (!BN_add(y, z, BN_value_one()))
 789             ABORT;
 790         if (BN_is_odd(y))
 791             ABORT;
 792         if (!BN_rshift1(y, y))
 793             ABORT;
 794         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 795         scalars[1] = y;
 796
 797         fprintf(stdout, "combined multiplication ...");
 798         fflush(stdout);
 799
 800         /* z is still the group order */
 801         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 802             ABORT;
 803         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 804             ABORT;
 805         if (0 != EC_POINT_cmp(group, P, R, ctx))
 806             ABORT;
 807         if (0 != EC_POINT_cmp(group, R, Q, ctx))
 808             ABORT;
 809
 810         fprintf(stdout, ".");
 811         fflush(stdout);
 812
 813         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
 814             ABORT;
 815         if (!BN_add(z, z, y))
 816             ABORT;
 817         BN_set_negative(z, 1);
 818         scalars[0] = y;
 819         scalars[1] = z;         /* z = -(order + y) */
 820
 821         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 822             ABORT;
 823         if (!EC_POINT_is_at_infinity(group, P))
 824             ABORT;
 825
 826         fprintf(stdout, ".");
 827         fflush(stdout);
 828
 829         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
 830             ABORT;
 831         if (!BN_add(z, x, y))
 832             ABORT;
 833         BN_set_negative(z, 1);
 834         scalars[0] = x;
 835         scalars[1] = y;
 836         scalars[2] = z;         /* z = -(x+y) */
 837
 838         scalar3 = BN_new();
 839         if (!scalar3)
 840             ABORT;
 841         BN_zero(scalar3);
 842         scalars[3] = scalar3;
 843
 844         if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
 845             ABORT;
 846         if (!EC_POINT_is_at_infinity(group, P))
 847             ABORT;
 848
 849         fprintf(stdout, " ok\n\n");
 850
 851         BN_free(scalar3);
 852     }
 853
 854     BN_CTX_free(ctx);
 855     BN_free(p);
 856     BN_free(a);
 857     BN_free(b);
 858     EC_GROUP_free(group);
 859     EC_POINT_free(P);
 860     EC_POINT_free(Q);
 861     EC_POINT_free(R);
 862     BN_free(x);
 863     BN_free(y);
 864     BN_free(z);
 865
 866     EC_GROUP_free(P_160);
 867     EC_GROUP_free(P_192);
 868     EC_GROUP_free(P_224);
 869     EC_GROUP_free(P_256);
 870     EC_GROUP_free(P_384);
 871     EC_GROUP_free(P_521);
 872
 873 }
 874
 875 /* Change test based on whether binary point compression is enabled or not. */
 876 # ifdef OPENSSL_EC_BIN_PT_COMP
 877 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 878         if (!BN_hex2bn(&x, _x)) ABORT; \
 879         if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
 880         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 881         if (!BN_hex2bn(&z, _order)) ABORT; \
 882         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 883         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 884         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 885         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 886         BN_print_fp(stdout, x); \
 887         fprintf(stdout, "\n     y = 0x"); \
 888         BN_print_fp(stdout, y); \
 889         fprintf(stdout, "\n"); \
 890         /* G_y value taken from the standard: */ \
 891         if (!BN_hex2bn(&z, _y)) ABORT; \
 892         if (0 != BN_cmp(y, z)) ABORT;
 893 # else
 894 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 895         if (!BN_hex2bn(&x, _x)) ABORT; \
 896         if (!BN_hex2bn(&y, _y)) ABORT; \
 897         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 898         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 899         if (!BN_hex2bn(&z, _order)) ABORT; \
 900         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 901         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 902         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 903         BN_print_fp(stdout, x); \
 904         fprintf(stdout, "\n     y = 0x"); \
 905         BN_print_fp(stdout, y); \
 906         fprintf(stdout, "\n");
 907 # endif
 908
 909 # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 910         if (!BN_hex2bn(&p, _p)) ABORT; \
 911         if (!BN_hex2bn(&a, _a)) ABORT; \
 912         if (!BN_hex2bn(&b, _b)) ABORT; \
 913         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
 914         CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 915         fprintf(stdout, "verify degree ..."); \
 916         if (EC_GROUP_get_degree(group) != _degree) ABORT; \
 917         fprintf(stdout, " ok\n"); \
 918         group_order_tests(group); \
 919         if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \
 920         if (!EC_GROUP_copy(_variable, group)) ABORT; \
 921
 922 # ifndef OPENSSL_NO_EC2M
 923
 924 static void char2_field_tests(void)
 925 {
 926     BN_CTX *ctx = NULL;
 927     BIGNUM *p, *a, *b;
 928     EC_GROUP *group;
 929     EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
 930         NULL, *C2_K571 = NULL;
 931     EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
 932         NULL, *C2_B571 = NULL;
 933     EC_POINT *P, *Q, *R;
 934     BIGNUM *x, *y, *z, *cof;
 935     unsigned char buf[100];
 936     size_t i, len;
 937     int k;
 938
 939     ctx = BN_CTX_new();
 940     if (!ctx)
 941         ABORT;
 942
 943     p = BN_new();
 944     a = BN_new();
 945     b = BN_new();
 946     if (!p || !a || !b)
 947         ABORT;
 948
 949     if (!BN_hex2bn(&p, "13"))
 950         ABORT;
 951     if (!BN_hex2bn(&a, "3"))
 952         ABORT;
 953     if (!BN_hex2bn(&b, "1"))
 954         ABORT;
 955
 956     group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
 957                                                     * EC_GROUP_new_curve_GF2m
 958                                                     * so that the library gets
 959                                                     * to choose the EC_METHOD */
 960     if (!group)
 961         ABORT;
 962     if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
 963         ABORT;
 964
 965     {
 966         EC_GROUP *tmp;
 967         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 968         if (!tmp)
 969             ABORT;
 970         if (!EC_GROUP_copy(tmp, group))
 971             ABORT;
 972         EC_GROUP_free(group);
 973         group = tmp;
 974     }
 975
 976     if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
 977         ABORT;
 978
 979     fprintf(stdout,
 980             "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
 981     BN_print_fp(stdout, p);
 982     fprintf(stdout, ")\n     a = 0x");
 983     BN_print_fp(stdout, a);
 984     fprintf(stdout, "\n     b = 0x");
 985     BN_print_fp(stdout, b);
 986     fprintf(stdout, "\n(0x... means binary polynomial)\n");
 987
 988     P = EC_POINT_new(group);
 989     Q = EC_POINT_new(group);
 990     R = EC_POINT_new(group);
 991     if (!P || !Q || !R)
 992         ABORT;
 993
 994     if (!EC_POINT_set_to_infinity(group, P))
 995         ABORT;
 996     if (!EC_POINT_is_at_infinity(group, P))
 997         ABORT;
 998
 999     buf[0] = 0;
1000     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1001         ABORT;
1002
1003     if (!EC_POINT_add(group, P, P, Q, ctx))
1004         ABORT;
1005     if (!EC_POINT_is_at_infinity(group, P))
1006         ABORT;
1007
1008     x = BN_new();
1009     y = BN_new();
1010     z = BN_new();
1011     cof = BN_new();
1012     if (!x || !y || !z || !cof)
1013         ABORT;
1014
1015     if (!BN_hex2bn(&x, "6"))
1016         ABORT;
1017 /* Change test based on whether binary point compression is enabled or not. */
1018 #  ifdef OPENSSL_EC_BIN_PT_COMP
1019     if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1020         ABORT;
1021 #  else
1022     if (!BN_hex2bn(&y, "8"))
1023         ABORT;
1024     if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1025         ABORT;
1026 #  endif
1027     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
1028 /* Change test based on whether binary point compression is enabled or not. */
1029 #  ifdef OPENSSL_EC_BIN_PT_COMP
1030         if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1031             ABORT;
1032 #  endif
1033         fprintf(stderr, "Point is not on curve: x = 0x");
1034         BN_print_fp(stderr, x);
1035         fprintf(stderr, ", y = 0x");
1036         BN_print_fp(stderr, y);
1037         fprintf(stderr, "\n");
1038         ABORT;
1039     }
1040
1041     fprintf(stdout, "A cyclic subgroup:\n");
1042     k = 100;
1043     do {
1044         if (k-- == 0)
1045             ABORT;
1046
1047         if (EC_POINT_is_at_infinity(group, P))
1048             fprintf(stdout, "     point at infinity\n");
1049         else {
1050             if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1051                 ABORT;
1052
1053             fprintf(stdout, "     x = 0x");
1054             BN_print_fp(stdout, x);
1055             fprintf(stdout, ", y = 0x");
1056             BN_print_fp(stdout, y);
1057             fprintf(stdout, "\n");
1058         }
1059
1060         if (!EC_POINT_copy(R, P))
1061             ABORT;
1062         if (!EC_POINT_add(group, P, P, Q, ctx))
1063             ABORT;
1064     }
1065     while (!EC_POINT_is_at_infinity(group, P));
1066
1067     if (!EC_POINT_add(group, P, Q, R, ctx))
1068         ABORT;
1069     if (!EC_POINT_is_at_infinity(group, P))
1070         ABORT;
1071
1072 /* Change test based on whether binary point compression is enabled or not. */
1073 #  ifdef OPENSSL_EC_BIN_PT_COMP
1074     len =
1075         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1076                            sizeof buf, ctx);
1077     if (len == 0)
1078         ABORT;
1079     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1080         ABORT;
1081     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1082         ABORT;
1083     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
1084     for (i = 0; i < len; i++)
1085         fprintf(stdout, "%02X", buf[i]);
1086 #  endif
1087
1088     len =
1089         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1090                            sizeof buf, ctx);
1091     if (len == 0)
1092         ABORT;
1093     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1094         ABORT;
1095     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1096         ABORT;
1097     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
1098     for (i = 0; i < len; i++)
1099         fprintf(stdout, "%02X", buf[i]);
1100
1101 /* Change test based on whether binary point compression is enabled or not. */
1102 #  ifdef OPENSSL_EC_BIN_PT_COMP
1103     len =
1104         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1105                            ctx);
1106     if (len == 0)
1107         ABORT;
1108     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1109         ABORT;
1110     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1111         ABORT;
1112     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
1113     for (i = 0; i < len; i++)
1114         fprintf(stdout, "%02X", buf[i]);
1115 #  endif
1116
1117     fprintf(stdout, "\n");
1118
1119     if (!EC_POINT_invert(group, P, ctx))
1120         ABORT;
1121     if (0 != EC_POINT_cmp(group, P, R, ctx))
1122         ABORT;
1123
1124     /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1125     CHAR2_CURVE_TEST
1126         ("NIST curve K-163",
1127          "0800000000000000000000000000000000000000C9",
1128          "1",
1129          "1",
1130          "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1131          "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1132          1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1133
1134     /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1135     CHAR2_CURVE_TEST
1136         ("NIST curve B-163",
1137          "0800000000000000000000000000000000000000C9",
1138          "1",
1139          "020A601907B8C953CA1481EB10512F78744A3205FD",
1140          "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1141          "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1142          1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1143
1144     /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1145     CHAR2_CURVE_TEST
1146         ("NIST curve K-233",
1147          "020000000000000000000000000000000000000004000000000000000001",
1148          "0",
1149          "1",
1150          "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1151          "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1152          0,
1153          "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1154          "4", 233, C2_K233);
1155
1156     /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1157     CHAR2_CURVE_TEST
1158         ("NIST curve B-233",
1159          "020000000000000000000000000000000000000004000000000000000001",
1160          "000000000000000000000000000000000000000000000000000000000001",
1161          "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1162          "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1163          "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1164          1,
1165          "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1166          "2", 233, C2_B233);
1167
1168     /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1169     CHAR2_CURVE_TEST
1170         ("NIST curve K-283",
1171          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1172          "0",
1173          "1",
1174          "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1175          "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1176          0,
1177          "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1178          "4", 283, C2_K283);
1179
1180     /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1181     CHAR2_CURVE_TEST
1182         ("NIST curve B-283",
1183          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1184          "000000000000000000000000000000000000000000000000000000000000000000000001",
1185          "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1186          "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1187          "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1188          1,
1189          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1190          "2", 283, C2_B283);
1191
1192     /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1193     CHAR2_CURVE_TEST
1194         ("NIST curve K-409",
1195          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1196          "0",
1197          "1",
1198          "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1199          "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1200          1,
1201          "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1202          "4", 409, C2_K409);
1203
1204     /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1205     CHAR2_CURVE_TEST
1206         ("NIST curve B-409",
1207          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1208          "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1209          "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1210          "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1211          "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1212          1,
1213          "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1214          "2", 409, C2_B409);
1215
1216     /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1217     CHAR2_CURVE_TEST
1218         ("NIST curve K-571",
1219          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1220          "0",
1221          "1",
1222          "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1223          "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1224          0,
1225          "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1226          "4", 571, C2_K571);
1227
1228     /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1229     CHAR2_CURVE_TEST
1230         ("NIST curve B-571",
1231          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1232          "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1233          "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1234          "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1235          "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1236          1,
1237          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1238          "2", 571, C2_B571);
1239
1240     /* more tests using the last curve */
1241
1242     if (!EC_POINT_copy(Q, P))
1243         ABORT;
1244     if (EC_POINT_is_at_infinity(group, Q))
1245         ABORT;
1246     if (!EC_POINT_dbl(group, P, P, ctx))
1247         ABORT;
1248     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
1249         ABORT;
1250     if (!EC_POINT_invert(group, Q, ctx))
1251         ABORT;                  /* P = -2Q */
1252
1253     if (!EC_POINT_add(group, R, P, Q, ctx))
1254         ABORT;
1255     if (!EC_POINT_add(group, R, R, Q, ctx))
1256         ABORT;
1257     if (!EC_POINT_is_at_infinity(group, R))
1258         ABORT;                  /* R = P + 2Q */
1259
1260     {
1261         const EC_POINT *points[3];
1262         const BIGNUM *scalars[3];
1263
1264         if (EC_POINT_is_at_infinity(group, Q))
1265             ABORT;
1266         points[0] = Q;
1267         points[1] = Q;
1268         points[2] = Q;
1269
1270         if (!BN_add(y, z, BN_value_one()))
1271             ABORT;
1272         if (BN_is_odd(y))
1273             ABORT;
1274         if (!BN_rshift1(y, y))
1275             ABORT;
1276         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
1277         scalars[1] = y;
1278
1279         fprintf(stdout, "combined multiplication ...");
1280         fflush(stdout);
1281
1282         /* z is still the group order */
1283         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1284             ABORT;
1285         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1286             ABORT;
1287         if (0 != EC_POINT_cmp(group, P, R, ctx))
1288             ABORT;
1289         if (0 != EC_POINT_cmp(group, R, Q, ctx))
1290             ABORT;
1291
1292         fprintf(stdout, ".");
1293         fflush(stdout);
1294
1295         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1296             ABORT;
1297         if (!BN_add(z, z, y))
1298             ABORT;
1299         BN_set_negative(z, 1);
1300         scalars[0] = y;
1301         scalars[1] = z;         /* z = -(order + y) */
1302
1303         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1304             ABORT;
1305         if (!EC_POINT_is_at_infinity(group, P))
1306             ABORT;
1307
1308         fprintf(stdout, ".");
1309         fflush(stdout);
1310
1311         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1312             ABORT;
1313         if (!BN_add(z, x, y))
1314             ABORT;
1315         BN_set_negative(z, 1);
1316         scalars[0] = x;
1317         scalars[1] = y;
1318         scalars[2] = z;         /* z = -(x+y) */
1319
1320         if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1321             ABORT;
1322         if (!EC_POINT_is_at_infinity(group, P))
1323             ABORT;
1324
1325         fprintf(stdout, " ok\n\n");
1326     }
1327
1328     BN_CTX_free(ctx);
1329     BN_free(p);
1330     BN_free(a);
1331     BN_free(b);
1332     EC_GROUP_free(group);
1333     EC_POINT_free(P);
1334     EC_POINT_free(Q);
1335     EC_POINT_free(R);
1336     BN_free(x);
1337     BN_free(y);
1338     BN_free(z);
1339     BN_free(cof);
1340
1341     EC_GROUP_free(C2_K163);
1342     EC_GROUP_free(C2_B163);
1343     EC_GROUP_free(C2_K233);
1344     EC_GROUP_free(C2_B233);
1345     EC_GROUP_free(C2_K283);
1346     EC_GROUP_free(C2_B283);
1347     EC_GROUP_free(C2_K409);
1348     EC_GROUP_free(C2_B409);
1349     EC_GROUP_free(C2_K571);
1350     EC_GROUP_free(C2_B571);
1351
1352 }
1353 # endif
1354
1355 static void internal_curve_test(void)
1356 {
1357     EC_builtin_curve *curves = NULL;
1358     size_t crv_len = 0, n = 0;
1359     int ok = 1;
1360
1361     crv_len = EC_get_builtin_curves(NULL, 0);
1362     curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
1363     if (curves == NULL)
1364         return;
1365
1366     if (!EC_get_builtin_curves(curves, crv_len)) {
1367         OPENSSL_free(curves);
1368         return;
1369     }
1370
1371     fprintf(stdout, "testing internal curves: ");
1372
1373     for (n = 0; n < crv_len; n++) {
1374         EC_GROUP *group = NULL;
1375         int nid = curves[n].nid;
1376         if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1377             ok = 0;
1378             fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1379                     " curve %s\n", OBJ_nid2sn(nid));
1380             /* try next curve */
1381             continue;
1382         }
1383         if (!EC_GROUP_check(group, NULL)) {
1384             ok = 0;
1385             fprintf(stdout, "\nEC_GROUP_check() failed with"
1386                     " curve %s\n", OBJ_nid2sn(nid));
1387             EC_GROUP_free(group);
1388             /* try the next curve */
1389             continue;
1390         }
1391         fprintf(stdout, ".");
1392         fflush(stdout);
1393         EC_GROUP_free(group);
1394     }
1395     if (ok)
1396         fprintf(stdout, " ok\n\n");
1397     else {
1398         fprintf(stdout, " failed\n\n");
1399         ABORT;
1400     }
1401     OPENSSL_free(curves);
1402     return;
1403 }
1404
1405 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1406 /*
1407  * nistp_test_params contains magic numbers for testing our optimized
1408  * implementations of several NIST curves with characteristic > 3.
1409  */
1410 struct nistp_test_params {
1411     const EC_METHOD *(*meth) ();
1412     int degree;
1413     /*
1414      * Qx, Qy and D are taken from
1415      * http://csrcdocut.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1416      * Otherwise, values are standard curve parameters from FIPS 180-3
1417      */
1418     const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1419 };
1420
1421 static const struct nistp_test_params nistp_tests_params[] = {
1422     {
1423      /* P-224 */
1424      EC_GFp_nistp224_method,
1425      224,
1426      /* p */
1427      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1428      /* a */
1429      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1430      /* b */
1431      "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1432      /* Qx */
1433      "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1434      /* Qy */
1435      "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1436      /* Gx */
1437      "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1438      /* Gy */
1439      "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1440      /* order */
1441      "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1442      /* d */
1443      "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1444      },
1445     {
1446      /* P-256 */
1447      EC_GFp_nistp256_method,
1448      256,
1449      /* p */
1450      "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1451      /* a */
1452      "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1453      /* b */
1454      "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1455      /* Qx */
1456      "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1457      /* Qy */
1458      "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1459      /* Gx */
1460      "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1461      /* Gy */
1462      "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1463      /* order */
1464      "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1465      /* d */
1466      "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1467      },
1468     {
1469      /* P-521 */
1470      EC_GFp_nistp521_method,
1471      521,
1472      /* p */
1473      "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1474      /* a */
1475      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1476      /* b */
1477      "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1478      /* Qx */
1479      "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1480      /* Qy */
1481      "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1482      /* Gx */
1483      "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1484      /* Gy */
1485      "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1486      /* order */
1487      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1488      /* d */
1489      "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1490      },
1491 };
1492
1493 static void nistp_single_test(const struct nistp_test_params *test)
1494 {
1495     BN_CTX *ctx;
1496     BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1497     EC_GROUP *NISTP;
1498     EC_POINT *G, *P, *Q, *Q_CHECK;
1499
1500     fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1501             test->degree);
1502     ctx = BN_CTX_new();
1503     p = BN_new();
1504     a = BN_new();
1505     b = BN_new();
1506     x = BN_new();
1507     y = BN_new();
1508     m = BN_new();
1509     n = BN_new();
1510     order = BN_new();
1511
1512     NISTP = EC_GROUP_new(test->meth());
1513     if (!NISTP)
1514         ABORT;
1515     if (!BN_hex2bn(&p, test->p))
1516         ABORT;
1517     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1518         ABORT;
1519     if (!BN_hex2bn(&a, test->a))
1520         ABORT;
1521     if (!BN_hex2bn(&b, test->b))
1522         ABORT;
1523     if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1524         ABORT;
1525     G = EC_POINT_new(NISTP);
1526     P = EC_POINT_new(NISTP);
1527     Q = EC_POINT_new(NISTP);
1528     Q_CHECK = EC_POINT_new(NISTP);
1529     if (!BN_hex2bn(&x, test->Qx))
1530         ABORT;
1531     if (!BN_hex2bn(&y, test->Qy))
1532         ABORT;
1533     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1534         ABORT;
1535     if (!BN_hex2bn(&x, test->Gx))
1536         ABORT;
1537     if (!BN_hex2bn(&y, test->Gy))
1538         ABORT;
1539     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1540         ABORT;
1541     if (!BN_hex2bn(&order, test->order))
1542         ABORT;
1543     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1544         ABORT;
1545
1546     fprintf(stdout, "verify degree ... ");
1547     if (EC_GROUP_get_degree(NISTP) != test->degree)
1548         ABORT;
1549     fprintf(stdout, "ok\n");
1550
1551     fprintf(stdout, "NIST test vectors ... ");
1552     if (!BN_hex2bn(&n, test->d))
1553         ABORT;
1554     /* fixed point multiplication */
1555     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1556     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1557         ABORT;
1558     /* random point multiplication */
1559     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1560     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1561         ABORT;
1562
1563     /* set generator to P = 2*G, where G is the standard generator */
1564     if (!EC_POINT_dbl(NISTP, P, G, ctx))
1565         ABORT;
1566     if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1567         ABORT;
1568     /* set the scalar to m=n/2, where n is the NIST test scalar */
1569     if (!BN_rshift(m, n, 1))
1570         ABORT;
1571
1572     /* test the non-standard generator */
1573     /* fixed point multiplication */
1574     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1575     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1576         ABORT;
1577     /* random point multiplication */
1578     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1579     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1580         ABORT;
1581
1582     /* now repeat all tests with precomputation */
1583     if (!EC_GROUP_precompute_mult(NISTP, ctx))
1584         ABORT;
1585
1586     /* fixed point multiplication */
1587     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1588     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1589         ABORT;
1590     /* random point multiplication */
1591     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1592     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1593         ABORT;
1594
1595     /* reset generator */
1596     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1597         ABORT;
1598     /* fixed point multiplication */
1599     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1600     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1601         ABORT;
1602     /* random point multiplication */
1603     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1604     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1605         ABORT;
1606
1607     fprintf(stdout, "ok\n");
1608     group_order_tests(NISTP);
1609     EC_GROUP_free(NISTP);
1610     EC_POINT_free(G);
1611     EC_POINT_free(P);
1612     EC_POINT_free(Q);
1613     EC_POINT_free(Q_CHECK);
1614     BN_free(n);
1615     BN_free(m);
1616     BN_free(p);
1617     BN_free(a);
1618     BN_free(b);
1619     BN_free(x);
1620     BN_free(y);
1621     BN_free(order);
1622     BN_CTX_free(ctx);
1623 }
1624
1625 static void nistp_tests()
1626 {
1627     unsigned i;
1628
1629     for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
1630         nistp_single_test(&nistp_tests_params[i]);
1631     }
1632 }
1633 # endif
1634
1635 static const char rnd_seed[] =
1636     "string to make the random number generator think it has entropy";
1637
1638 int main(int argc, char *argv[])
1639 {
1640
1641     /* enable memory leak checking unless explicitly disabled */
1642     if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL)
1643           && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) {
1644         CRYPTO_malloc_debug_init();
1645         CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1646     } else {
1647         /* OPENSSL_DEBUG_MEMORY=off */
1648         CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1649     }
1650     CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1651     ERR_load_crypto_strings();
1652
1653     RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1654
1655     prime_field_tests();
1656     puts("");
1657 # ifndef OPENSSL_NO_EC2M
1658     char2_field_tests();
1659 # endif
1660 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1661     nistp_tests();
1662 # endif
1663     /* test the internal curves */
1664     internal_curve_test();
1665
1666 # ifndef OPENSSL_NO_ENGINE
1667     ENGINE_cleanup();
1668 # endif
1669     CRYPTO_cleanup_all_ex_data();
1670     ERR_free_strings();
1671     ERR_remove_thread_state(NULL);
1672     CRYPTO_mem_leaks_fp(stderr);
1673
1674     return 0;
1675 }
1676 #endif