test/ectest.c

   1 /*
   2  * Originally written by Bodo Moeller for the OpenSSL project.
   3  */
   4 /* ====================================================================
   5  * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
   6  *
   7  * Redistribution and use in source and binary forms, with or without
   8  * modification, are permitted provided that the following conditions
   9  * are met:
  10  *
  11  * 1. Redistributions of source code must retain the above copyright
  12  *    notice, this list of conditions and the following disclaimer.
  13  *
  14  * 2. Redistributions in binary form must reproduce the above copyright
  15  *    notice, this list of conditions and the following disclaimer in
  16  *    the documentation and/or other materials provided with the
  17  *    distribution.
  18  *
  19  * 3. All advertising materials mentioning features or use of this
  20  *    software must display the following acknowledgment:
  21  *    "This product includes software developed by the OpenSSL Project
  22  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  23  *
  24  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  25  *    endorse or promote products derived from this software without
  26  *    prior written permission. For written permission, please contact
  27  *    openssl-core@openssl.org.
  28  *
  29  * 5. Products derived from this software may not be called "OpenSSL"
  30  *    nor may "OpenSSL" appear in their names without prior written
  31  *    permission of the OpenSSL Project.
  32  *
  33  * 6. Redistributions of any form whatsoever must retain the following
  34  *    acknowledgment:
  35  *    "This product includes software developed by the OpenSSL Project
  36  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  37  *
  38  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  39  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  40  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  41  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  42  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  43  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  44  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  45  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  46  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  47  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  48  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  49  * OF THE POSSIBILITY OF SUCH DAMAGE.
  50  * ====================================================================
  51  *
  52  * This product includes cryptographic software written by Eric Young
  53  * (eay@cryptsoft.com).  This product includes software written by Tim
  54  * Hudson (tjh@cryptsoft.com).
  55  *
  56  */
  57 /* ====================================================================
  58  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  59  *
  60  * Portions of the attached software ("Contribution") are developed by
  61  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  62  *
  63  * The Contribution is licensed pursuant to the OpenSSL open source
  64  * license provided above.
  65  *
  66  * The elliptic curve binary polynomial software is originally written by
  67  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  68  *
  69  */
  70
  71 #include <stdio.h>
  72 #include <stdlib.h>
  73 #ifdef FLAT_INC
  74 # include "e_os.h"
  75 #else
  76 # include "../e_os.h"
  77 #endif
  78 #include <string.h>
  79 #include <time.h>
  80
  81 #ifdef OPENSSL_NO_EC
  82 int main(int argc, char *argv[])
  83 {
  84     puts("Elliptic curves are disabled.");
  85     return 0;
  86 }
  87 #else
  88
  89 # include <openssl/ec.h>
  90 # ifndef OPENSSL_NO_ENGINE
  91 #  include <openssl/engine.h>
  92 # endif
  93 # include <openssl/err.h>
  94 # include <openssl/obj_mac.h>
  95 # include <openssl/objects.h>
  96 # include <openssl/rand.h>
  97 # include <openssl/bn.h>
  98 # include <openssl/opensslconf.h>
  99
 100 # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
 101 /* suppress "too big too optimize" warning */
 102 #  pragma warning(disable:4959)
 103 # endif
 104
 105 # define ABORT do { \
 106         fflush(stdout); \
 107         fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
 108         ERR_print_errors_fp(stderr); \
 109         EXIT(1); \
 110 } while (0)
 111
 112 # define TIMING_BASE_PT 0
 113 # define TIMING_RAND_PT 1
 114 # define TIMING_SIMUL 2
 115
 116 /* test multiplication with group order, long and negative scalars */
 117 static void group_order_tests(EC_GROUP *group)
 118 {
 119     BIGNUM *n1, *n2, *order;
 120     EC_POINT *P = EC_POINT_new(group);
 121     EC_POINT *Q = EC_POINT_new(group);
 122     BN_CTX *ctx = BN_CTX_new();
 123     int i;
 124
 125     n1 = BN_new();
 126     n2 = BN_new();
 127     order = BN_new();
 128     fprintf(stdout, "verify group order ...");
 129     fflush(stdout);
 130     if (!EC_GROUP_get_order(group, order, ctx))
 131         ABORT;
 132     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
 133         ABORT;
 134     if (!EC_POINT_is_at_infinity(group, Q))
 135         ABORT;
 136     fprintf(stdout, ".");
 137     fflush(stdout);
 138     if (!EC_GROUP_precompute_mult(group, ctx))
 139         ABORT;
 140     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
 141         ABORT;
 142     if (!EC_POINT_is_at_infinity(group, Q))
 143         ABORT;
 144     fprintf(stdout, " ok\n");
 145     fprintf(stdout, "long/negative scalar tests ");
 146     for (i = 1; i <= 2; i++) {
 147         const BIGNUM *scalars[6];
 148         const EC_POINT *points[6];
 149
 150         fprintf(stdout, i == 1 ?
 151                 "allowing precomputation ... " :
 152                 "without precomputation ... ");
 153         if (!BN_set_word(n1, i))
 154             ABORT;
 155         /*
 156          * If i == 1, P will be the predefined generator for which
 157          * EC_GROUP_precompute_mult has set up precomputation.
 158          */
 159         if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
 160             ABORT;
 161
 162         if (!BN_one(n1))
 163             ABORT;
 164         /* n1 = 1 - order */
 165         if (!BN_sub(n1, n1, order))
 166             ABORT;
 167         if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
 168             ABORT;
 169         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 170             ABORT;
 171
 172         /* n2 = 1 + order */
 173         if (!BN_add(n2, order, BN_value_one()))
 174             ABORT;
 175         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 176             ABORT;
 177         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 178             ABORT;
 179
 180         /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
 181         if (!BN_mul(n2, n1, n2, ctx))
 182             ABORT;
 183         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 184             ABORT;
 185         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 186             ABORT;
 187
 188         /* n2 = order^2 - 1 */
 189         BN_set_negative(n2, 0);
 190         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 191             ABORT;
 192         /* Add P to verify the result. */
 193         if (!EC_POINT_add(group, Q, Q, P, ctx))
 194             ABORT;
 195         if (!EC_POINT_is_at_infinity(group, Q))
 196             ABORT;
 197
 198         /* Exercise EC_POINTs_mul, including corner cases. */
 199         if (EC_POINT_is_at_infinity(group, P))
 200             ABORT;
 201         scalars[0] = n1;
 202         points[0] = Q;          /* => infinity */
 203         scalars[1] = n2;
 204         points[1] = P;          /* => -P */
 205         scalars[2] = n1;
 206         points[2] = Q;          /* => infinity */
 207         scalars[3] = n2;
 208         points[3] = Q;          /* => infinity */
 209         scalars[4] = n1;
 210         points[4] = P;          /* => P */
 211         scalars[5] = n2;
 212         points[5] = Q;          /* => infinity */
 213         if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
 214             ABORT;
 215         if (!EC_POINT_is_at_infinity(group, P))
 216             ABORT;
 217     }
 218     fprintf(stdout, "ok\n");
 219
 220     EC_POINT_free(P);
 221     EC_POINT_free(Q);
 222     BN_free(n1);
 223     BN_free(n2);
 224     BN_free(order);
 225     BN_CTX_free(ctx);
 226 }
 227
 228 static void prime_field_tests(void)
 229 {
 230     BN_CTX *ctx = NULL;
 231     BIGNUM *p, *a, *b;
 232     EC_GROUP *group;
 233     EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
 234         NULL, *P_384 = NULL, *P_521 = NULL;
 235     EC_POINT *P, *Q, *R;
 236     BIGNUM *x, *y, *z;
 237     unsigned char buf[100];
 238     size_t i, len;
 239     int k;
 240
 241     ctx = BN_CTX_new();
 242     if (!ctx)
 243         ABORT;
 244
 245     p = BN_new();
 246     a = BN_new();
 247     b = BN_new();
 248     if (!p || !a || !b)
 249         ABORT;
 250
 251     if (!BN_hex2bn(&p, "17"))
 252         ABORT;
 253     if (!BN_hex2bn(&a, "1"))
 254         ABORT;
 255     if (!BN_hex2bn(&b, "1"))
 256         ABORT;
 257
 258     group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
 259                                                  * EC_GROUP_new_curve_GFp so
 260                                                  * that the library gets to
 261                                                  * choose the EC_METHOD */
 262     if (!group)
 263         ABORT;
 264
 265     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 266         ABORT;
 267
 268     {
 269         EC_GROUP *tmp;
 270         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 271         if (!tmp)
 272             ABORT;
 273         if (!EC_GROUP_copy(tmp, group))
 274             ABORT;
 275         EC_GROUP_free(group);
 276         group = tmp;
 277     }
 278
 279     if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
 280         ABORT;
 281
 282     fprintf(stdout,
 283             "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
 284     BN_print_fp(stdout, p);
 285     fprintf(stdout, ")\n     a = 0x");
 286     BN_print_fp(stdout, a);
 287     fprintf(stdout, "\n     b = 0x");
 288     BN_print_fp(stdout, b);
 289     fprintf(stdout, "\n");
 290
 291     P = EC_POINT_new(group);
 292     Q = EC_POINT_new(group);
 293     R = EC_POINT_new(group);
 294     if (!P || !Q || !R)
 295         ABORT;
 296
 297     if (!EC_POINT_set_to_infinity(group, P))
 298         ABORT;
 299     if (!EC_POINT_is_at_infinity(group, P))
 300         ABORT;
 301
 302     buf[0] = 0;
 303     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
 304         ABORT;
 305
 306     if (!EC_POINT_add(group, P, P, Q, ctx))
 307         ABORT;
 308     if (!EC_POINT_is_at_infinity(group, P))
 309         ABORT;
 310
 311     x = BN_new();
 312     y = BN_new();
 313     z = BN_new();
 314     if (!x || !y || !z)
 315         ABORT;
 316
 317     if (!BN_hex2bn(&x, "D"))
 318         ABORT;
 319     if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
 320         ABORT;
 321     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
 322         if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
 323             ABORT;
 324         fprintf(stderr, "Point is not on curve: x = 0x");
 325         BN_print_fp(stderr, x);
 326         fprintf(stderr, ", y = 0x");
 327         BN_print_fp(stderr, y);
 328         fprintf(stderr, "\n");
 329         ABORT;
 330     }
 331
 332     fprintf(stdout, "A cyclic subgroup:\n");
 333     k = 100;
 334     do {
 335         if (k-- == 0)
 336             ABORT;
 337
 338         if (EC_POINT_is_at_infinity(group, P))
 339             fprintf(stdout, "     point at infinity\n");
 340         else {
 341             if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 342                 ABORT;
 343
 344             fprintf(stdout, "     x = 0x");
 345             BN_print_fp(stdout, x);
 346             fprintf(stdout, ", y = 0x");
 347             BN_print_fp(stdout, y);
 348             fprintf(stdout, "\n");
 349         }
 350
 351         if (!EC_POINT_copy(R, P))
 352             ABORT;
 353         if (!EC_POINT_add(group, P, P, Q, ctx))
 354             ABORT;
 355
 356     }
 357     while (!EC_POINT_is_at_infinity(group, P));
 358
 359     if (!EC_POINT_add(group, P, Q, R, ctx))
 360         ABORT;
 361     if (!EC_POINT_is_at_infinity(group, P))
 362         ABORT;
 363
 364     len =
 365         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
 366                            sizeof buf, ctx);
 367     if (len == 0)
 368         ABORT;
 369     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 370         ABORT;
 371     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 372         ABORT;
 373     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
 374     for (i = 0; i < len; i++)
 375         fprintf(stdout, "%02X", buf[i]);
 376
 377     len =
 378         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
 379                            sizeof buf, ctx);
 380     if (len == 0)
 381         ABORT;
 382     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 383         ABORT;
 384     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 385         ABORT;
 386     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
 387     for (i = 0; i < len; i++)
 388         fprintf(stdout, "%02X", buf[i]);
 389
 390     len =
 391         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
 392                            ctx);
 393     if (len == 0)
 394         ABORT;
 395     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 396         ABORT;
 397     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 398         ABORT;
 399     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
 400     for (i = 0; i < len; i++)
 401         fprintf(stdout, "%02X", buf[i]);
 402
 403     if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
 404         ABORT;
 405     fprintf(stdout,
 406             "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
 407     BN_print_fp(stdout, x);
 408     fprintf(stdout, ", Y = 0x");
 409     BN_print_fp(stdout, y);
 410     fprintf(stdout, ", Z = 0x");
 411     BN_print_fp(stdout, z);
 412     fprintf(stdout, "\n");
 413
 414     if (!EC_POINT_invert(group, P, ctx))
 415         ABORT;
 416     if (0 != EC_POINT_cmp(group, P, R, ctx))
 417         ABORT;
 418
 419     /*
 420      * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
 421      * 2000) -- not a NIST curve, but commonly used
 422      */
 423
 424     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
 425         ABORT;
 426     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 427         ABORT;
 428     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
 429         ABORT;
 430     if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
 431         ABORT;
 432     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 433         ABORT;
 434
 435     if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
 436         ABORT;
 437     if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
 438         ABORT;
 439     if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 440         ABORT;
 441     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 442         ABORT;
 443     if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
 444         ABORT;
 445     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 446         ABORT;
 447
 448     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 449         ABORT;
 450     fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
 451     BN_print_fp(stdout, x);
 452     fprintf(stdout, "\n     y = 0x");
 453     BN_print_fp(stdout, y);
 454     fprintf(stdout, "\n");
 455     /* G_y value taken from the standard: */
 456     if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
 457         ABORT;
 458     if (0 != BN_cmp(y, z))
 459         ABORT;
 460
 461     fprintf(stdout, "verify degree ...");
 462     if (EC_GROUP_get_degree(group) != 160)
 463         ABORT;
 464     fprintf(stdout, " ok\n");
 465
 466     group_order_tests(group);
 467
 468     if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 469         ABORT;
 470     if (!EC_GROUP_copy(P_160, group))
 471         ABORT;
 472
 473     /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 474
 475     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
 476         ABORT;
 477     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 478         ABORT;
 479     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
 480         ABORT;
 481     if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
 482         ABORT;
 483     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 484         ABORT;
 485
 486     if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
 487         ABORT;
 488     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 489         ABORT;
 490     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 491         ABORT;
 492     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
 493         ABORT;
 494     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 495         ABORT;
 496
 497     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 498         ABORT;
 499     fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
 500     BN_print_fp(stdout, x);
 501     fprintf(stdout, "\n     y = 0x");
 502     BN_print_fp(stdout, y);
 503     fprintf(stdout, "\n");
 504     /* G_y value taken from the standard: */
 505     if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
 506         ABORT;
 507     if (0 != BN_cmp(y, z))
 508         ABORT;
 509
 510     fprintf(stdout, "verify degree ...");
 511     if (EC_GROUP_get_degree(group) != 192)
 512         ABORT;
 513     fprintf(stdout, " ok\n");
 514
 515     group_order_tests(group);
 516
 517     if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 518         ABORT;
 519     if (!EC_GROUP_copy(P_192, group))
 520         ABORT;
 521
 522     /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 523
 524     if (!BN_hex2bn
 525         (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
 526         ABORT;
 527     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 528         ABORT;
 529     if (!BN_hex2bn
 530         (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
 531         ABORT;
 532     if (!BN_hex2bn
 533         (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
 534         ABORT;
 535     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 536         ABORT;
 537
 538     if (!BN_hex2bn
 539         (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
 540         ABORT;
 541     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 542         ABORT;
 543     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 544         ABORT;
 545     if (!BN_hex2bn
 546         (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
 547         ABORT;
 548     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 549         ABORT;
 550
 551     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 552         ABORT;
 553     fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
 554     BN_print_fp(stdout, x);
 555     fprintf(stdout, "\n     y = 0x");
 556     BN_print_fp(stdout, y);
 557     fprintf(stdout, "\n");
 558     /* G_y value taken from the standard: */
 559     if (!BN_hex2bn
 560         (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
 561         ABORT;
 562     if (0 != BN_cmp(y, z))
 563         ABORT;
 564
 565     fprintf(stdout, "verify degree ...");
 566     if (EC_GROUP_get_degree(group) != 224)
 567         ABORT;
 568     fprintf(stdout, " ok\n");
 569
 570     group_order_tests(group);
 571
 572     if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 573         ABORT;
 574     if (!EC_GROUP_copy(P_224, group))
 575         ABORT;
 576
 577     /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 578
 579     if (!BN_hex2bn
 580         (&p,
 581          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
 582         ABORT;
 583     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 584         ABORT;
 585     if (!BN_hex2bn
 586         (&a,
 587          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
 588         ABORT;
 589     if (!BN_hex2bn
 590         (&b,
 591          "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
 592         ABORT;
 593     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 594         ABORT;
 595
 596     if (!BN_hex2bn
 597         (&x,
 598          "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
 599         ABORT;
 600     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 601         ABORT;
 602     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 603         ABORT;
 604     if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
 605                    "84F3B9CAC2FC632551"))
 606         ABORT;
 607     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 608         ABORT;
 609
 610     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 611         ABORT;
 612     fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
 613     BN_print_fp(stdout, x);
 614     fprintf(stdout, "\n     y = 0x");
 615     BN_print_fp(stdout, y);
 616     fprintf(stdout, "\n");
 617     /* G_y value taken from the standard: */
 618     if (!BN_hex2bn
 619         (&z,
 620          "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
 621         ABORT;
 622     if (0 != BN_cmp(y, z))
 623         ABORT;
 624
 625     fprintf(stdout, "verify degree ...");
 626     if (EC_GROUP_get_degree(group) != 256)
 627         ABORT;
 628     fprintf(stdout, " ok\n");
 629
 630     group_order_tests(group);
 631
 632     if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 633         ABORT;
 634     if (!EC_GROUP_copy(P_256, group))
 635         ABORT;
 636
 637     /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 638
 639     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 640                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
 641         ABORT;
 642     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 643         ABORT;
 644     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 645                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
 646         ABORT;
 647     if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
 648                    "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
 649         ABORT;
 650     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 651         ABORT;
 652
 653     if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
 654                    "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
 655         ABORT;
 656     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 657         ABORT;
 658     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 659         ABORT;
 660     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 661                    "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
 662         ABORT;
 663     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 664         ABORT;
 665
 666     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 667         ABORT;
 668     fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
 669     BN_print_fp(stdout, x);
 670     fprintf(stdout, "\n     y = 0x");
 671     BN_print_fp(stdout, y);
 672     fprintf(stdout, "\n");
 673     /* G_y value taken from the standard: */
 674     if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
 675                    "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
 676         ABORT;
 677     if (0 != BN_cmp(y, z))
 678         ABORT;
 679
 680     fprintf(stdout, "verify degree ...");
 681     if (EC_GROUP_get_degree(group) != 384)
 682         ABORT;
 683     fprintf(stdout, " ok\n");
 684
 685     group_order_tests(group);
 686
 687     if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 688         ABORT;
 689     if (!EC_GROUP_copy(P_384, group))
 690         ABORT;
 691
 692     /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 693
 694     if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 695                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 696                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
 697         ABORT;
 698     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 699         ABORT;
 700     if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 701                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 702                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
 703         ABORT;
 704     if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
 705                    "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
 706                    "DF883D2C34F1EF451FD46B503F00"))
 707         ABORT;
 708     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 709         ABORT;
 710
 711     if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
 712                    "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
 713                    "3C1856A429BF97E7E31C2E5BD66"))
 714         ABORT;
 715     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 716         ABORT;
 717     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 718         ABORT;
 719     if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 720                    "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
 721                    "C9B8899C47AEBB6FB71E91386409"))
 722         ABORT;
 723     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 724         ABORT;
 725
 726     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 727         ABORT;
 728     fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
 729     BN_print_fp(stdout, x);
 730     fprintf(stdout, "\n     y = 0x");
 731     BN_print_fp(stdout, y);
 732     fprintf(stdout, "\n");
 733     /* G_y value taken from the standard: */
 734     if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
 735                    "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
 736                    "7086A272C24088BE94769FD16650"))
 737         ABORT;
 738     if (0 != BN_cmp(y, z))
 739         ABORT;
 740
 741     fprintf(stdout, "verify degree ...");
 742     if (EC_GROUP_get_degree(group) != 521)
 743         ABORT;
 744     fprintf(stdout, " ok\n");
 745
 746     group_order_tests(group);
 747
 748     if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 749         ABORT;
 750     if (!EC_GROUP_copy(P_521, group))
 751         ABORT;
 752
 753     /* more tests using the last curve */
 754
 755     if (!EC_POINT_copy(Q, P))
 756         ABORT;
 757     if (EC_POINT_is_at_infinity(group, Q))
 758         ABORT;
 759     if (!EC_POINT_dbl(group, P, P, ctx))
 760         ABORT;
 761     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 762         ABORT;
 763     if (!EC_POINT_invert(group, Q, ctx))
 764         ABORT;                  /* P = -2Q */
 765
 766     if (!EC_POINT_add(group, R, P, Q, ctx))
 767         ABORT;
 768     if (!EC_POINT_add(group, R, R, Q, ctx))
 769         ABORT;
 770     if (!EC_POINT_is_at_infinity(group, R))
 771         ABORT;                  /* R = P + 2Q */
 772
 773     {
 774         const EC_POINT *points[4];
 775         const BIGNUM *scalars[4];
 776         BIGNUM *scalar3;
 777
 778         if (EC_POINT_is_at_infinity(group, Q))
 779             ABORT;
 780         points[0] = Q;
 781         points[1] = Q;
 782         points[2] = Q;
 783         points[3] = Q;
 784
 785         if (!EC_GROUP_get_order(group, z, ctx))
 786             ABORT;
 787         if (!BN_add(y, z, BN_value_one()))
 788             ABORT;
 789         if (BN_is_odd(y))
 790             ABORT;
 791         if (!BN_rshift1(y, y))
 792             ABORT;
 793         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 794         scalars[1] = y;
 795
 796         fprintf(stdout, "combined multiplication ...");
 797         fflush(stdout);
 798
 799         /* z is still the group order */
 800         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 801             ABORT;
 802         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 803             ABORT;
 804         if (0 != EC_POINT_cmp(group, P, R, ctx))
 805             ABORT;
 806         if (0 != EC_POINT_cmp(group, R, Q, ctx))
 807             ABORT;
 808
 809         fprintf(stdout, ".");
 810         fflush(stdout);
 811
 812         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
 813             ABORT;
 814         if (!BN_add(z, z, y))
 815             ABORT;
 816         BN_set_negative(z, 1);
 817         scalars[0] = y;
 818         scalars[1] = z;         /* z = -(order + y) */
 819
 820         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 821             ABORT;
 822         if (!EC_POINT_is_at_infinity(group, P))
 823             ABORT;
 824
 825         fprintf(stdout, ".");
 826         fflush(stdout);
 827
 828         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
 829             ABORT;
 830         if (!BN_add(z, x, y))
 831             ABORT;
 832         BN_set_negative(z, 1);
 833         scalars[0] = x;
 834         scalars[1] = y;
 835         scalars[2] = z;         /* z = -(x+y) */
 836
 837         scalar3 = BN_new();
 838         if (!scalar3)
 839             ABORT;
 840         BN_zero(scalar3);
 841         scalars[3] = scalar3;
 842
 843         if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
 844             ABORT;
 845         if (!EC_POINT_is_at_infinity(group, P))
 846             ABORT;
 847
 848         fprintf(stdout, " ok\n\n");
 849
 850         BN_free(scalar3);
 851     }
 852
 853     BN_CTX_free(ctx);
 854     BN_free(p);
 855     BN_free(a);
 856     BN_free(b);
 857     EC_GROUP_free(group);
 858     EC_POINT_free(P);
 859     EC_POINT_free(Q);
 860     EC_POINT_free(R);
 861     BN_free(x);
 862     BN_free(y);
 863     BN_free(z);
 864
 865     EC_GROUP_free(P_160);
 866     EC_GROUP_free(P_192);
 867     EC_GROUP_free(P_224);
 868     EC_GROUP_free(P_256);
 869     EC_GROUP_free(P_384);
 870     EC_GROUP_free(P_521);
 871
 872 }
 873
 874 /* Change test based on whether binary point compression is enabled or not. */
 875 # ifdef OPENSSL_EC_BIN_PT_COMP
 876 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 877         if (!BN_hex2bn(&x, _x)) ABORT; \
 878         if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
 879         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 880         if (!BN_hex2bn(&z, _order)) ABORT; \
 881         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 882         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 883         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 884         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 885         BN_print_fp(stdout, x); \
 886         fprintf(stdout, "\n     y = 0x"); \
 887         BN_print_fp(stdout, y); \
 888         fprintf(stdout, "\n"); \
 889         /* G_y value taken from the standard: */ \
 890         if (!BN_hex2bn(&z, _y)) ABORT; \
 891         if (0 != BN_cmp(y, z)) ABORT;
 892 # else
 893 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 894         if (!BN_hex2bn(&x, _x)) ABORT; \
 895         if (!BN_hex2bn(&y, _y)) ABORT; \
 896         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 897         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 898         if (!BN_hex2bn(&z, _order)) ABORT; \
 899         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 900         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 901         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 902         BN_print_fp(stdout, x); \
 903         fprintf(stdout, "\n     y = 0x"); \
 904         BN_print_fp(stdout, y); \
 905         fprintf(stdout, "\n");
 906 # endif
 907
 908 # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 909         if (!BN_hex2bn(&p, _p)) ABORT; \
 910         if (!BN_hex2bn(&a, _a)) ABORT; \
 911         if (!BN_hex2bn(&b, _b)) ABORT; \
 912         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
 913         CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 914         fprintf(stdout, "verify degree ..."); \
 915         if (EC_GROUP_get_degree(group) != _degree) ABORT; \
 916         fprintf(stdout, " ok\n"); \
 917         group_order_tests(group); \
 918         if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \
 919         if (!EC_GROUP_copy(_variable, group)) ABORT; \
 920
 921 # ifndef OPENSSL_NO_EC2M
 922
 923 static void char2_field_tests(void)
 924 {
 925     BN_CTX *ctx = NULL;
 926     BIGNUM *p, *a, *b;
 927     EC_GROUP *group;
 928     EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
 929         NULL, *C2_K571 = NULL;
 930     EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
 931         NULL, *C2_B571 = NULL;
 932     EC_POINT *P, *Q, *R;
 933     BIGNUM *x, *y, *z, *cof;
 934     unsigned char buf[100];
 935     size_t i, len;
 936     int k;
 937
 938     ctx = BN_CTX_new();
 939     if (!ctx)
 940         ABORT;
 941
 942     p = BN_new();
 943     a = BN_new();
 944     b = BN_new();
 945     if (!p || !a || !b)
 946         ABORT;
 947
 948     if (!BN_hex2bn(&p, "13"))
 949         ABORT;
 950     if (!BN_hex2bn(&a, "3"))
 951         ABORT;
 952     if (!BN_hex2bn(&b, "1"))
 953         ABORT;
 954
 955     group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
 956                                                     * EC_GROUP_new_curve_GF2m
 957                                                     * so that the library gets
 958                                                     * to choose the EC_METHOD */
 959     if (!group)
 960         ABORT;
 961     if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
 962         ABORT;
 963
 964     {
 965         EC_GROUP *tmp;
 966         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 967         if (!tmp)
 968             ABORT;
 969         if (!EC_GROUP_copy(tmp, group))
 970             ABORT;
 971         EC_GROUP_free(group);
 972         group = tmp;
 973     }
 974
 975     if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
 976         ABORT;
 977
 978     fprintf(stdout,
 979             "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
 980     BN_print_fp(stdout, p);
 981     fprintf(stdout, ")\n     a = 0x");
 982     BN_print_fp(stdout, a);
 983     fprintf(stdout, "\n     b = 0x");
 984     BN_print_fp(stdout, b);
 985     fprintf(stdout, "\n(0x... means binary polynomial)\n");
 986
 987     P = EC_POINT_new(group);
 988     Q = EC_POINT_new(group);
 989     R = EC_POINT_new(group);
 990     if (!P || !Q || !R)
 991         ABORT;
 992
 993     if (!EC_POINT_set_to_infinity(group, P))
 994         ABORT;
 995     if (!EC_POINT_is_at_infinity(group, P))
 996         ABORT;
 997
 998     buf[0] = 0;
 999     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1000         ABORT;
1001
1002     if (!EC_POINT_add(group, P, P, Q, ctx))
1003         ABORT;
1004     if (!EC_POINT_is_at_infinity(group, P))
1005         ABORT;
1006
1007     x = BN_new();
1008     y = BN_new();
1009     z = BN_new();
1010     cof = BN_new();
1011     if (!x || !y || !z || !cof)
1012         ABORT;
1013
1014     if (!BN_hex2bn(&x, "6"))
1015         ABORT;
1016 /* Change test based on whether binary point compression is enabled or not. */
1017 #  ifdef OPENSSL_EC_BIN_PT_COMP
1018     if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1019         ABORT;
1020 #  else
1021     if (!BN_hex2bn(&y, "8"))
1022         ABORT;
1023     if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1024         ABORT;
1025 #  endif
1026     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
1027 /* Change test based on whether binary point compression is enabled or not. */
1028 #  ifdef OPENSSL_EC_BIN_PT_COMP
1029         if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1030             ABORT;
1031 #  endif
1032         fprintf(stderr, "Point is not on curve: x = 0x");
1033         BN_print_fp(stderr, x);
1034         fprintf(stderr, ", y = 0x");
1035         BN_print_fp(stderr, y);
1036         fprintf(stderr, "\n");
1037         ABORT;
1038     }
1039
1040     fprintf(stdout, "A cyclic subgroup:\n");
1041     k = 100;
1042     do {
1043         if (k-- == 0)
1044             ABORT;
1045
1046         if (EC_POINT_is_at_infinity(group, P))
1047             fprintf(stdout, "     point at infinity\n");
1048         else {
1049             if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1050                 ABORT;
1051
1052             fprintf(stdout, "     x = 0x");
1053             BN_print_fp(stdout, x);
1054             fprintf(stdout, ", y = 0x");
1055             BN_print_fp(stdout, y);
1056             fprintf(stdout, "\n");
1057         }
1058
1059         if (!EC_POINT_copy(R, P))
1060             ABORT;
1061         if (!EC_POINT_add(group, P, P, Q, ctx))
1062             ABORT;
1063     }
1064     while (!EC_POINT_is_at_infinity(group, P));
1065
1066     if (!EC_POINT_add(group, P, Q, R, ctx))
1067         ABORT;
1068     if (!EC_POINT_is_at_infinity(group, P))
1069         ABORT;
1070
1071 /* Change test based on whether binary point compression is enabled or not. */
1072 #  ifdef OPENSSL_EC_BIN_PT_COMP
1073     len =
1074         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1075                            sizeof buf, ctx);
1076     if (len == 0)
1077         ABORT;
1078     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1079         ABORT;
1080     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1081         ABORT;
1082     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
1083     for (i = 0; i < len; i++)
1084         fprintf(stdout, "%02X", buf[i]);
1085 #  endif
1086
1087     len =
1088         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1089                            sizeof buf, ctx);
1090     if (len == 0)
1091         ABORT;
1092     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1093         ABORT;
1094     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1095         ABORT;
1096     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
1097     for (i = 0; i < len; i++)
1098         fprintf(stdout, "%02X", buf[i]);
1099
1100 /* Change test based on whether binary point compression is enabled or not. */
1101 #  ifdef OPENSSL_EC_BIN_PT_COMP
1102     len =
1103         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1104                            ctx);
1105     if (len == 0)
1106         ABORT;
1107     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1108         ABORT;
1109     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1110         ABORT;
1111     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
1112     for (i = 0; i < len; i++)
1113         fprintf(stdout, "%02X", buf[i]);
1114 #  endif
1115
1116     fprintf(stdout, "\n");
1117
1118     if (!EC_POINT_invert(group, P, ctx))
1119         ABORT;
1120     if (0 != EC_POINT_cmp(group, P, R, ctx))
1121         ABORT;
1122
1123     /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1124     CHAR2_CURVE_TEST
1125         ("NIST curve K-163",
1126          "0800000000000000000000000000000000000000C9",
1127          "1",
1128          "1",
1129          "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1130          "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1131          1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1132
1133     /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1134     CHAR2_CURVE_TEST
1135         ("NIST curve B-163",
1136          "0800000000000000000000000000000000000000C9",
1137          "1",
1138          "020A601907B8C953CA1481EB10512F78744A3205FD",
1139          "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1140          "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1141          1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1142
1143     /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1144     CHAR2_CURVE_TEST
1145         ("NIST curve K-233",
1146          "020000000000000000000000000000000000000004000000000000000001",
1147          "0",
1148          "1",
1149          "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1150          "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1151          0,
1152          "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1153          "4", 233, C2_K233);
1154
1155     /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1156     CHAR2_CURVE_TEST
1157         ("NIST curve B-233",
1158          "020000000000000000000000000000000000000004000000000000000001",
1159          "000000000000000000000000000000000000000000000000000000000001",
1160          "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1161          "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1162          "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1163          1,
1164          "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1165          "2", 233, C2_B233);
1166
1167     /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1168     CHAR2_CURVE_TEST
1169         ("NIST curve K-283",
1170          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1171          "0",
1172          "1",
1173          "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1174          "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1175          0,
1176          "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1177          "4", 283, C2_K283);
1178
1179     /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1180     CHAR2_CURVE_TEST
1181         ("NIST curve B-283",
1182          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1183          "000000000000000000000000000000000000000000000000000000000000000000000001",
1184          "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1185          "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1186          "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1187          1,
1188          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1189          "2", 283, C2_B283);
1190
1191     /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1192     CHAR2_CURVE_TEST
1193         ("NIST curve K-409",
1194          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1195          "0",
1196          "1",
1197          "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1198          "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1199          1,
1200          "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1201          "4", 409, C2_K409);
1202
1203     /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1204     CHAR2_CURVE_TEST
1205         ("NIST curve B-409",
1206          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1207          "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1208          "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1209          "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1210          "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1211          1,
1212          "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1213          "2", 409, C2_B409);
1214
1215     /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1216     CHAR2_CURVE_TEST
1217         ("NIST curve K-571",
1218          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1219          "0",
1220          "1",
1221          "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1222          "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1223          0,
1224          "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1225          "4", 571, C2_K571);
1226
1227     /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1228     CHAR2_CURVE_TEST
1229         ("NIST curve B-571",
1230          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1231          "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1232          "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1233          "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1234          "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1235          1,
1236          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1237          "2", 571, C2_B571);
1238
1239     /* more tests using the last curve */
1240
1241     if (!EC_POINT_copy(Q, P))
1242         ABORT;
1243     if (EC_POINT_is_at_infinity(group, Q))
1244         ABORT;
1245     if (!EC_POINT_dbl(group, P, P, ctx))
1246         ABORT;
1247     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
1248         ABORT;
1249     if (!EC_POINT_invert(group, Q, ctx))
1250         ABORT;                  /* P = -2Q */
1251
1252     if (!EC_POINT_add(group, R, P, Q, ctx))
1253         ABORT;
1254     if (!EC_POINT_add(group, R, R, Q, ctx))
1255         ABORT;
1256     if (!EC_POINT_is_at_infinity(group, R))
1257         ABORT;                  /* R = P + 2Q */
1258
1259     {
1260         const EC_POINT *points[3];
1261         const BIGNUM *scalars[3];
1262
1263         if (EC_POINT_is_at_infinity(group, Q))
1264             ABORT;
1265         points[0] = Q;
1266         points[1] = Q;
1267         points[2] = Q;
1268
1269         if (!BN_add(y, z, BN_value_one()))
1270             ABORT;
1271         if (BN_is_odd(y))
1272             ABORT;
1273         if (!BN_rshift1(y, y))
1274             ABORT;
1275         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
1276         scalars[1] = y;
1277
1278         fprintf(stdout, "combined multiplication ...");
1279         fflush(stdout);
1280
1281         /* z is still the group order */
1282         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1283             ABORT;
1284         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1285             ABORT;
1286         if (0 != EC_POINT_cmp(group, P, R, ctx))
1287             ABORT;
1288         if (0 != EC_POINT_cmp(group, R, Q, ctx))
1289             ABORT;
1290
1291         fprintf(stdout, ".");
1292         fflush(stdout);
1293
1294         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1295             ABORT;
1296         if (!BN_add(z, z, y))
1297             ABORT;
1298         BN_set_negative(z, 1);
1299         scalars[0] = y;
1300         scalars[1] = z;         /* z = -(order + y) */
1301
1302         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1303             ABORT;
1304         if (!EC_POINT_is_at_infinity(group, P))
1305             ABORT;
1306
1307         fprintf(stdout, ".");
1308         fflush(stdout);
1309
1310         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1311             ABORT;
1312         if (!BN_add(z, x, y))
1313             ABORT;
1314         BN_set_negative(z, 1);
1315         scalars[0] = x;
1316         scalars[1] = y;
1317         scalars[2] = z;         /* z = -(x+y) */
1318
1319         if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1320             ABORT;
1321         if (!EC_POINT_is_at_infinity(group, P))
1322             ABORT;
1323
1324         fprintf(stdout, " ok\n\n");
1325     }
1326
1327     BN_CTX_free(ctx);
1328     BN_free(p);
1329     BN_free(a);
1330     BN_free(b);
1331     EC_GROUP_free(group);
1332     EC_POINT_free(P);
1333     EC_POINT_free(Q);
1334     EC_POINT_free(R);
1335     BN_free(x);
1336     BN_free(y);
1337     BN_free(z);
1338     BN_free(cof);
1339
1340     EC_GROUP_free(C2_K163);
1341     EC_GROUP_free(C2_B163);
1342     EC_GROUP_free(C2_K233);
1343     EC_GROUP_free(C2_B233);
1344     EC_GROUP_free(C2_K283);
1345     EC_GROUP_free(C2_B283);
1346     EC_GROUP_free(C2_K409);
1347     EC_GROUP_free(C2_B409);
1348     EC_GROUP_free(C2_K571);
1349     EC_GROUP_free(C2_B571);
1350
1351 }
1352 # endif
1353
1354 static void internal_curve_test(void)
1355 {
1356     EC_builtin_curve *curves = NULL;
1357     size_t crv_len = 0, n = 0;
1358     int ok = 1;
1359
1360     crv_len = EC_get_builtin_curves(NULL, 0);
1361     curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
1362     if (curves == NULL)
1363         return;
1364
1365     if (!EC_get_builtin_curves(curves, crv_len)) {
1366         OPENSSL_free(curves);
1367         return;
1368     }
1369
1370     fprintf(stdout, "testing internal curves: ");
1371
1372     for (n = 0; n < crv_len; n++) {
1373         EC_GROUP *group = NULL;
1374         int nid = curves[n].nid;
1375         if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1376             ok = 0;
1377             fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1378                     " curve %s\n", OBJ_nid2sn(nid));
1379             /* try next curve */
1380             continue;
1381         }
1382         if (!EC_GROUP_check(group, NULL)) {
1383             ok = 0;
1384             fprintf(stdout, "\nEC_GROUP_check() failed with"
1385                     " curve %s\n", OBJ_nid2sn(nid));
1386             EC_GROUP_free(group);
1387             /* try the next curve */
1388             continue;
1389         }
1390         fprintf(stdout, ".");
1391         fflush(stdout);
1392         EC_GROUP_free(group);
1393     }
1394     if (ok)
1395         fprintf(stdout, " ok\n\n");
1396     else {
1397         fprintf(stdout, " failed\n\n");
1398         ABORT;
1399     }
1400     OPENSSL_free(curves);
1401     return;
1402 }
1403
1404 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1405 /*
1406  * nistp_test_params contains magic numbers for testing our optimized
1407  * implementations of several NIST curves with characteristic > 3.
1408  */
1409 struct nistp_test_params {
1410     const EC_METHOD *(*meth) ();
1411     int degree;
1412     /*
1413      * Qx, Qy and D are taken from
1414      * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1415      * Otherwise, values are standard curve parameters from FIPS 180-3
1416      */
1417     const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1418 };
1419
1420 static const struct nistp_test_params nistp_tests_params[] = {
1421     {
1422      /* P-224 */
1423      EC_GFp_nistp224_method,
1424      224,
1425      /* p */
1426      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1427      /* a */
1428      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1429      /* b */
1430      "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1431      /* Qx */
1432      "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1433      /* Qy */
1434      "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1435      /* Gx */
1436      "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1437      /* Gy */
1438      "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1439      /* order */
1440      "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1441      /* d */
1442      "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1443      },
1444     {
1445      /* P-256 */
1446      EC_GFp_nistp256_method,
1447      256,
1448      /* p */
1449      "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1450      /* a */
1451      "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1452      /* b */
1453      "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1454      /* Qx */
1455      "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1456      /* Qy */
1457      "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1458      /* Gx */
1459      "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1460      /* Gy */
1461      "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1462      /* order */
1463      "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1464      /* d */
1465      "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1466      },
1467     {
1468      /* P-521 */
1469      EC_GFp_nistp521_method,
1470      521,
1471      /* p */
1472      "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1473      /* a */
1474      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1475      /* b */
1476      "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1477      /* Qx */
1478      "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1479      /* Qy */
1480      "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1481      /* Gx */
1482      "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1483      /* Gy */
1484      "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1485      /* order */
1486      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1487      /* d */
1488      "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1489      },
1490 };
1491
1492 static void nistp_single_test(const struct nistp_test_params *test)
1493 {
1494     BN_CTX *ctx;
1495     BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1496     EC_GROUP *NISTP;
1497     EC_POINT *G, *P, *Q, *Q_CHECK;
1498
1499     fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1500             test->degree);
1501     ctx = BN_CTX_new();
1502     p = BN_new();
1503     a = BN_new();
1504     b = BN_new();
1505     x = BN_new();
1506     y = BN_new();
1507     m = BN_new();
1508     n = BN_new();
1509     order = BN_new();
1510
1511     NISTP = EC_GROUP_new(test->meth());
1512     if (!NISTP)
1513         ABORT;
1514     if (!BN_hex2bn(&p, test->p))
1515         ABORT;
1516     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1517         ABORT;
1518     if (!BN_hex2bn(&a, test->a))
1519         ABORT;
1520     if (!BN_hex2bn(&b, test->b))
1521         ABORT;
1522     if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1523         ABORT;
1524     G = EC_POINT_new(NISTP);
1525     P = EC_POINT_new(NISTP);
1526     Q = EC_POINT_new(NISTP);
1527     Q_CHECK = EC_POINT_new(NISTP);
1528     if (!BN_hex2bn(&x, test->Qx))
1529         ABORT;
1530     if (!BN_hex2bn(&y, test->Qy))
1531         ABORT;
1532     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1533         ABORT;
1534     if (!BN_hex2bn(&x, test->Gx))
1535         ABORT;
1536     if (!BN_hex2bn(&y, test->Gy))
1537         ABORT;
1538     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1539         ABORT;
1540     if (!BN_hex2bn(&order, test->order))
1541         ABORT;
1542     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1543         ABORT;
1544
1545     fprintf(stdout, "verify degree ... ");
1546     if (EC_GROUP_get_degree(NISTP) != test->degree)
1547         ABORT;
1548     fprintf(stdout, "ok\n");
1549
1550     fprintf(stdout, "NIST test vectors ... ");
1551     if (!BN_hex2bn(&n, test->d))
1552         ABORT;
1553     /* fixed point multiplication */
1554     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1555     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1556         ABORT;
1557     /* random point multiplication */
1558     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1559     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1560         ABORT;
1561
1562     /* set generator to P = 2*G, where G is the standard generator */
1563     if (!EC_POINT_dbl(NISTP, P, G, ctx))
1564         ABORT;
1565     if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1566         ABORT;
1567     /* set the scalar to m=n/2, where n is the NIST test scalar */
1568     if (!BN_rshift(m, n, 1))
1569         ABORT;
1570
1571     /* test the non-standard generator */
1572     /* fixed point multiplication */
1573     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1574     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1575         ABORT;
1576     /* random point multiplication */
1577     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1578     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1579         ABORT;
1580
1581     /* now repeat all tests with precomputation */
1582     if (!EC_GROUP_precompute_mult(NISTP, ctx))
1583         ABORT;
1584
1585     /* fixed point multiplication */
1586     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1587     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1588         ABORT;
1589     /* random point multiplication */
1590     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1591     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1592         ABORT;
1593
1594     /* reset generator */
1595     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1596         ABORT;
1597     /* fixed point multiplication */
1598     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1599     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1600         ABORT;
1601     /* random point multiplication */
1602     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1603     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1604         ABORT;
1605
1606     fprintf(stdout, "ok\n");
1607     group_order_tests(NISTP);
1608     EC_GROUP_free(NISTP);
1609     EC_POINT_free(G);
1610     EC_POINT_free(P);
1611     EC_POINT_free(Q);
1612     EC_POINT_free(Q_CHECK);
1613     BN_free(n);
1614     BN_free(m);
1615     BN_free(p);
1616     BN_free(a);
1617     BN_free(b);
1618     BN_free(x);
1619     BN_free(y);
1620     BN_free(order);
1621     BN_CTX_free(ctx);
1622 }
1623
1624 static void nistp_tests()
1625 {
1626     unsigned i;
1627
1628     for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
1629         nistp_single_test(&nistp_tests_params[i]);
1630     }
1631 }
1632 # endif
1633
1634 static const char rnd_seed[] =
1635     "string to make the random number generator think it has entropy";
1636
1637 int main(int argc, char *argv[])
1638 {
1639     char *p;
1640
1641     p = getenv("OPENSSL_DEBUG_MEMORY");
1642     if (p != NULL && strcmp(p, "on") == 0)
1643         CRYPTO_set_mem_debug(1);
1644     CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1645     ERR_load_crypto_strings();
1646
1647     RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1648
1649     prime_field_tests();
1650     puts("");
1651 # ifndef OPENSSL_NO_EC2M
1652     char2_field_tests();
1653 # endif
1654 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1655     nistp_tests();
1656 # endif
1657     /* test the internal curves */
1658     internal_curve_test();
1659
1660 # ifndef OPENSSL_NO_ENGINE
1661     ENGINE_cleanup();
1662 # endif
1663     CRYPTO_cleanup_all_ex_data();
1664     ERR_free_strings();
1665     ERR_remove_thread_state(NULL);
1666 #ifndef OPENSSL_NO_CRYPTO_MDEBUG
1667     CRYPTO_mem_leaks_fp(stderr);
1668 #endif
1669
1670     return 0;
1671 }
1672 #endif