test/ectest.c

   1 /*
   2  * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
   3  *
   4  * Licensed under the OpenSSL license (the "License").  You may not use
   5  * this file except in compliance with the License.  You can obtain a copy
   6  * in the file LICENSE in the source distribution or at
   7  * https://www.openssl.org/source/license.html
   8  */
   9
  10 /* ====================================================================
  11  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  12  *
  13  * Portions of the attached software ("Contribution") are developed by
  14  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  15  *
  16  * The Contribution is licensed pursuant to the OpenSSL open source
  17  * license provided above.
  18  *
  19  * The elliptic curve binary polynomial software is originally written by
  20  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  21  *
  22  */
  23
  24 #include <stdio.h>
  25 #include <stdlib.h>
  26 #ifdef FLAT_INC
  27 # include "e_os.h"
  28 #else
  29 # include "../e_os.h"
  30 #endif
  31 #include <string.h>
  32 #include <time.h>
  33
  34 #ifdef OPENSSL_NO_EC
  35 int main(int argc, char *argv[])
  36 {
  37     puts("Elliptic curves are disabled.");
  38     return 0;
  39 }
  40 #else
  41
  42 # include <openssl/ec.h>
  43 # ifndef OPENSSL_NO_ENGINE
  44 #  include <openssl/engine.h>
  45 # endif
  46 # include <openssl/err.h>
  47 # include <openssl/obj_mac.h>
  48 # include <openssl/objects.h>
  49 # include <openssl/rand.h>
  50 # include <openssl/bn.h>
  51 # include <openssl/opensslconf.h>
  52
  53 # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
  54 /* suppress "too big too optimize" warning */
  55 #  pragma warning(disable:4959)
  56 # endif
  57
  58 # define ABORT do { \
  59         fflush(stdout); \
  60         fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
  61         ERR_print_errors_fp(stderr); \
  62         EXIT(1); \
  63 } while (0)
  64
  65 # define TIMING_BASE_PT 0
  66 # define TIMING_RAND_PT 1
  67 # define TIMING_SIMUL 2
  68
  69 /* test multiplication with group order, long and negative scalars */
  70 static void group_order_tests(EC_GROUP *group)
  71 {
  72     BIGNUM *n1, *n2, *order;
  73     EC_POINT *P = EC_POINT_new(group);
  74     EC_POINT *Q = EC_POINT_new(group);
  75     EC_POINT *R = EC_POINT_new(group);
  76     EC_POINT *S = EC_POINT_new(group);
  77     BN_CTX *ctx = BN_CTX_new();
  78     int i;
  79
  80     n1 = BN_new();
  81     n2 = BN_new();
  82     order = BN_new();
  83     fprintf(stdout, "verify group order ...");
  84     fflush(stdout);
  85     if (!EC_GROUP_get_order(group, order, ctx))
  86         ABORT;
  87     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  88         ABORT;
  89     if (!EC_POINT_is_at_infinity(group, Q))
  90         ABORT;
  91     fprintf(stdout, ".");
  92     fflush(stdout);
  93     if (!EC_GROUP_precompute_mult(group, ctx))
  94         ABORT;
  95     if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  96         ABORT;
  97     if (!EC_POINT_is_at_infinity(group, Q))
  98         ABORT;
  99     fprintf(stdout, " ok\n");
 100     fprintf(stdout, "long/negative scalar tests ");
 101     for (i = 1; i <= 2; i++) {
 102         const BIGNUM *scalars[6];
 103         const EC_POINT *points[6];
 104
 105         fprintf(stdout, i == 1 ?
 106                 "allowing precomputation ... " :
 107                 "without precomputation ... ");
 108         if (!BN_set_word(n1, i))
 109             ABORT;
 110         /*
 111          * If i == 1, P will be the predefined generator for which
 112          * EC_GROUP_precompute_mult has set up precomputation.
 113          */
 114         if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
 115             ABORT;
 116
 117         if (!BN_one(n1))
 118             ABORT;
 119         /* n1 = 1 - order */
 120         if (!BN_sub(n1, n1, order))
 121             ABORT;
 122         if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
 123             ABORT;
 124         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 125             ABORT;
 126
 127         /* n2 = 1 + order */
 128         if (!BN_add(n2, order, BN_value_one()))
 129             ABORT;
 130         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 131             ABORT;
 132         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 133             ABORT;
 134
 135         /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
 136         if (!BN_mul(n2, n1, n2, ctx))
 137             ABORT;
 138         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 139             ABORT;
 140         if (0 != EC_POINT_cmp(group, Q, P, ctx))
 141             ABORT;
 142
 143         /* n2 = order^2 - 1 */
 144         BN_set_negative(n2, 0);
 145         if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 146             ABORT;
 147         /* Add P to verify the result. */
 148         if (!EC_POINT_add(group, Q, Q, P, ctx))
 149             ABORT;
 150         if (!EC_POINT_is_at_infinity(group, Q))
 151             ABORT;
 152
 153         /* Exercise EC_POINTs_mul, including corner cases. */
 154         if (EC_POINT_is_at_infinity(group, P))
 155             ABORT;
 156
 157         scalars[0] = scalars[1] = BN_value_one();
 158         points[0]  = points[1]  = P;
 159
 160         if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
 161             ABORT;
 162         if (!EC_POINT_dbl(group, S, points[0], ctx))
 163             ABORT;
 164         if (0 != EC_POINT_cmp(group, R, S, ctx))
 165             ABORT;
 166
 167         scalars[0] = n1;
 168         points[0] = Q;          /* => infinity */
 169         scalars[1] = n2;
 170         points[1] = P;          /* => -P */
 171         scalars[2] = n1;
 172         points[2] = Q;          /* => infinity */
 173         scalars[3] = n2;
 174         points[3] = Q;          /* => infinity */
 175         scalars[4] = n1;
 176         points[4] = P;          /* => P */
 177         scalars[5] = n2;
 178         points[5] = Q;          /* => infinity */
 179         if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
 180             ABORT;
 181         if (!EC_POINT_is_at_infinity(group, P))
 182             ABORT;
 183     }
 184     fprintf(stdout, "ok\n");
 185
 186     EC_POINT_free(P);
 187     EC_POINT_free(Q);
 188     EC_POINT_free(R);
 189     EC_POINT_free(S);
 190     BN_free(n1);
 191     BN_free(n2);
 192     BN_free(order);
 193     BN_CTX_free(ctx);
 194 }
 195
 196 static void prime_field_tests(void)
 197 {
 198     BN_CTX *ctx = NULL;
 199     BIGNUM *p, *a, *b;
 200     EC_GROUP *group;
 201     EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
 202         NULL, *P_384 = NULL, *P_521 = NULL;
 203     EC_POINT *P, *Q, *R;
 204     BIGNUM *x, *y, *z, *yplusone;
 205     unsigned char buf[100];
 206     size_t i, len;
 207     int k;
 208
 209     ctx = BN_CTX_new();
 210     if (!ctx)
 211         ABORT;
 212
 213     p = BN_new();
 214     a = BN_new();
 215     b = BN_new();
 216     if (!p || !a || !b)
 217         ABORT;
 218
 219     if (!BN_hex2bn(&p, "17"))
 220         ABORT;
 221     if (!BN_hex2bn(&a, "1"))
 222         ABORT;
 223     if (!BN_hex2bn(&b, "1"))
 224         ABORT;
 225
 226     group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
 227                                                  * EC_GROUP_new_curve_GFp so
 228                                                  * that the library gets to
 229                                                  * choose the EC_METHOD */
 230     if (!group)
 231         ABORT;
 232
 233     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 234         ABORT;
 235
 236     {
 237         EC_GROUP *tmp;
 238         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
 239         if (!tmp)
 240             ABORT;
 241         if (!EC_GROUP_copy(tmp, group))
 242             ABORT;
 243         EC_GROUP_free(group);
 244         group = tmp;
 245     }
 246
 247     if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
 248         ABORT;
 249
 250     fprintf(stdout,
 251             "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
 252     BN_print_fp(stdout, p);
 253     fprintf(stdout, ")\n     a = 0x");
 254     BN_print_fp(stdout, a);
 255     fprintf(stdout, "\n     b = 0x");
 256     BN_print_fp(stdout, b);
 257     fprintf(stdout, "\n");
 258
 259     P = EC_POINT_new(group);
 260     Q = EC_POINT_new(group);
 261     R = EC_POINT_new(group);
 262     if (!P || !Q || !R)
 263         ABORT;
 264
 265     if (!EC_POINT_set_to_infinity(group, P))
 266         ABORT;
 267     if (!EC_POINT_is_at_infinity(group, P))
 268         ABORT;
 269
 270     buf[0] = 0;
 271     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
 272         ABORT;
 273
 274     if (!EC_POINT_add(group, P, P, Q, ctx))
 275         ABORT;
 276     if (!EC_POINT_is_at_infinity(group, P))
 277         ABORT;
 278
 279     x = BN_new();
 280     y = BN_new();
 281     z = BN_new();
 282     yplusone = BN_new();
 283     if (x == NULL || y == NULL || z == NULL || yplusone == NULL)
 284         ABORT;
 285
 286     if (!BN_hex2bn(&x, "D"))
 287         ABORT;
 288     if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
 289         ABORT;
 290     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
 291         if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
 292             ABORT;
 293         fprintf(stderr, "Point is not on curve: x = 0x");
 294         BN_print_fp(stderr, x);
 295         fprintf(stderr, ", y = 0x");
 296         BN_print_fp(stderr, y);
 297         fprintf(stderr, "\n");
 298         ABORT;
 299     }
 300
 301     fprintf(stdout, "A cyclic subgroup:\n");
 302     k = 100;
 303     do {
 304         if (k-- == 0)
 305             ABORT;
 306
 307         if (EC_POINT_is_at_infinity(group, P))
 308             fprintf(stdout, "     point at infinity\n");
 309         else {
 310             if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 311                 ABORT;
 312
 313             fprintf(stdout, "     x = 0x");
 314             BN_print_fp(stdout, x);
 315             fprintf(stdout, ", y = 0x");
 316             BN_print_fp(stdout, y);
 317             fprintf(stdout, "\n");
 318         }
 319
 320         if (!EC_POINT_copy(R, P))
 321             ABORT;
 322         if (!EC_POINT_add(group, P, P, Q, ctx))
 323             ABORT;
 324
 325     }
 326     while (!EC_POINT_is_at_infinity(group, P));
 327
 328     if (!EC_POINT_add(group, P, Q, R, ctx))
 329         ABORT;
 330     if (!EC_POINT_is_at_infinity(group, P))
 331         ABORT;
 332
 333     len =
 334         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
 335                            sizeof buf, ctx);
 336     if (len == 0)
 337         ABORT;
 338     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 339         ABORT;
 340     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 341         ABORT;
 342     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
 343     for (i = 0; i < len; i++)
 344         fprintf(stdout, "%02X", buf[i]);
 345
 346     len =
 347         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
 348                            sizeof buf, ctx);
 349     if (len == 0)
 350         ABORT;
 351     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 352         ABORT;
 353     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 354         ABORT;
 355     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
 356     for (i = 0; i < len; i++)
 357         fprintf(stdout, "%02X", buf[i]);
 358
 359     len =
 360         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
 361                            ctx);
 362     if (len == 0)
 363         ABORT;
 364     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
 365         ABORT;
 366     if (0 != EC_POINT_cmp(group, P, Q, ctx))
 367         ABORT;
 368     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
 369     for (i = 0; i < len; i++)
 370         fprintf(stdout, "%02X", buf[i]);
 371
 372     if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
 373         ABORT;
 374     fprintf(stdout,
 375             "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
 376     BN_print_fp(stdout, x);
 377     fprintf(stdout, ", Y = 0x");
 378     BN_print_fp(stdout, y);
 379     fprintf(stdout, ", Z = 0x");
 380     BN_print_fp(stdout, z);
 381     fprintf(stdout, "\n");
 382
 383     if (!EC_POINT_invert(group, P, ctx))
 384         ABORT;
 385     if (0 != EC_POINT_cmp(group, P, R, ctx))
 386         ABORT;
 387
 388     /*
 389      * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
 390      * 2000) -- not a NIST curve, but commonly used
 391      */
 392
 393     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
 394         ABORT;
 395     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 396         ABORT;
 397     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
 398         ABORT;
 399     if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
 400         ABORT;
 401     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 402         ABORT;
 403
 404     if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
 405         ABORT;
 406     if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
 407         ABORT;
 408     if (!BN_add(yplusone, y, BN_value_one()))
 409         ABORT;
 410     /*
 411      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 412      * and therefore setting the coordinates should fail.
 413      */
 414     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 415         ABORT;
 416     if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 417         ABORT;
 418     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 419         ABORT;
 420     if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
 421         ABORT;
 422     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 423         ABORT;
 424
 425     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 426         ABORT;
 427     fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
 428     BN_print_fp(stdout, x);
 429     fprintf(stdout, "\n     y = 0x");
 430     BN_print_fp(stdout, y);
 431     fprintf(stdout, "\n");
 432     /* G_y value taken from the standard: */
 433     if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
 434         ABORT;
 435     if (0 != BN_cmp(y, z))
 436         ABORT;
 437
 438     fprintf(stdout, "verify degree ...");
 439     if (EC_GROUP_get_degree(group) != 160)
 440         ABORT;
 441     fprintf(stdout, " ok\n");
 442
 443     group_order_tests(group);
 444
 445     if ((P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 446         ABORT;
 447     if (!EC_GROUP_copy(P_160, group))
 448         ABORT;
 449
 450     /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 451
 452     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
 453         ABORT;
 454     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 455         ABORT;
 456     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
 457         ABORT;
 458     if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
 459         ABORT;
 460     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 461         ABORT;
 462
 463     if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
 464         ABORT;
 465     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 466         ABORT;
 467     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 468         ABORT;
 469     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
 470         ABORT;
 471     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 472         ABORT;
 473
 474     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 475         ABORT;
 476     fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
 477     BN_print_fp(stdout, x);
 478     fprintf(stdout, "\n     y = 0x");
 479     BN_print_fp(stdout, y);
 480     fprintf(stdout, "\n");
 481     /* G_y value taken from the standard: */
 482     if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
 483         ABORT;
 484     if (0 != BN_cmp(y, z))
 485         ABORT;
 486
 487     if (!BN_add(yplusone, y, BN_value_one()))
 488         ABORT;
 489     /*
 490      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 491      * and therefore setting the coordinates should fail.
 492      */
 493     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 494         ABORT;
 495
 496     fprintf(stdout, "verify degree ...");
 497     if (EC_GROUP_get_degree(group) != 192)
 498         ABORT;
 499     fprintf(stdout, " ok\n");
 500
 501     group_order_tests(group);
 502
 503     if ((P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 504         ABORT;
 505     if (!EC_GROUP_copy(P_192, group))
 506         ABORT;
 507
 508     /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 509
 510     if (!BN_hex2bn
 511         (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
 512         ABORT;
 513     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 514         ABORT;
 515     if (!BN_hex2bn
 516         (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
 517         ABORT;
 518     if (!BN_hex2bn
 519         (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
 520         ABORT;
 521     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 522         ABORT;
 523
 524     if (!BN_hex2bn
 525         (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
 526         ABORT;
 527     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 528         ABORT;
 529     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 530         ABORT;
 531     if (!BN_hex2bn
 532         (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
 533         ABORT;
 534     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 535         ABORT;
 536
 537     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 538         ABORT;
 539     fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
 540     BN_print_fp(stdout, x);
 541     fprintf(stdout, "\n     y = 0x");
 542     BN_print_fp(stdout, y);
 543     fprintf(stdout, "\n");
 544     /* G_y value taken from the standard: */
 545     if (!BN_hex2bn
 546         (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
 547         ABORT;
 548     if (0 != BN_cmp(y, z))
 549         ABORT;
 550
 551     if (!BN_add(yplusone, y, BN_value_one()))
 552         ABORT;
 553     /*
 554      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 555      * and therefore setting the coordinates should fail.
 556      */
 557     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 558         ABORT;
 559
 560     fprintf(stdout, "verify degree ...");
 561     if (EC_GROUP_get_degree(group) != 224)
 562         ABORT;
 563     fprintf(stdout, " ok\n");
 564
 565     group_order_tests(group);
 566
 567     if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 568         ABORT;
 569     if (!EC_GROUP_copy(P_224, group))
 570         ABORT;
 571
 572     /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 573
 574     if (!BN_hex2bn
 575         (&p,
 576          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
 577         ABORT;
 578     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 579         ABORT;
 580     if (!BN_hex2bn
 581         (&a,
 582          "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
 583         ABORT;
 584     if (!BN_hex2bn
 585         (&b,
 586          "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
 587         ABORT;
 588     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 589         ABORT;
 590
 591     if (!BN_hex2bn
 592         (&x,
 593          "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
 594         ABORT;
 595     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 596         ABORT;
 597     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 598         ABORT;
 599     if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
 600                    "84F3B9CAC2FC632551"))
 601         ABORT;
 602     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 603         ABORT;
 604
 605     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 606         ABORT;
 607     fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
 608     BN_print_fp(stdout, x);
 609     fprintf(stdout, "\n     y = 0x");
 610     BN_print_fp(stdout, y);
 611     fprintf(stdout, "\n");
 612     /* G_y value taken from the standard: */
 613     if (!BN_hex2bn
 614         (&z,
 615          "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
 616         ABORT;
 617     if (0 != BN_cmp(y, z))
 618         ABORT;
 619
 620     if (!BN_add(yplusone, y, BN_value_one()))
 621         ABORT;
 622     /*
 623      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 624      * and therefore setting the coordinates should fail.
 625      */
 626     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 627         ABORT;
 628
 629     fprintf(stdout, "verify degree ...");
 630     if (EC_GROUP_get_degree(group) != 256)
 631         ABORT;
 632     fprintf(stdout, " ok\n");
 633
 634     group_order_tests(group);
 635
 636     if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 637         ABORT;
 638     if (!EC_GROUP_copy(P_256, group))
 639         ABORT;
 640
 641     /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 642
 643     if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 644                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
 645         ABORT;
 646     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 647         ABORT;
 648     if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 649                    "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
 650         ABORT;
 651     if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
 652                    "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
 653         ABORT;
 654     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 655         ABORT;
 656
 657     if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
 658                    "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
 659         ABORT;
 660     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
 661         ABORT;
 662     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 663         ABORT;
 664     if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 665                    "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
 666         ABORT;
 667     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 668         ABORT;
 669
 670     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 671         ABORT;
 672     fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
 673     BN_print_fp(stdout, x);
 674     fprintf(stdout, "\n     y = 0x");
 675     BN_print_fp(stdout, y);
 676     fprintf(stdout, "\n");
 677     /* G_y value taken from the standard: */
 678     if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
 679                    "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
 680         ABORT;
 681     if (0 != BN_cmp(y, z))
 682         ABORT;
 683
 684     if (!BN_add(yplusone, y, BN_value_one()))
 685         ABORT;
 686     /*
 687      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 688      * and therefore setting the coordinates should fail.
 689      */
 690     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 691         ABORT;
 692
 693     fprintf(stdout, "verify degree ...");
 694     if (EC_GROUP_get_degree(group) != 384)
 695         ABORT;
 696     fprintf(stdout, " ok\n");
 697
 698     group_order_tests(group);
 699
 700     if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 701         ABORT;
 702     if (!EC_GROUP_copy(P_384, group))
 703         ABORT;
 704
 705     /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 706
 707     if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 708                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 709                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
 710         ABORT;
 711     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 712         ABORT;
 713     if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 714                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 715                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
 716         ABORT;
 717     if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
 718                    "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
 719                    "DF883D2C34F1EF451FD46B503F00"))
 720         ABORT;
 721     if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 722         ABORT;
 723
 724     if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
 725                    "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
 726                    "3C1856A429BF97E7E31C2E5BD66"))
 727         ABORT;
 728     if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
 729         ABORT;
 730     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 731         ABORT;
 732     if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 733                    "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
 734                    "C9B8899C47AEBB6FB71E91386409"))
 735         ABORT;
 736     if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
 737         ABORT;
 738
 739     if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
 740         ABORT;
 741     fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
 742     BN_print_fp(stdout, x);
 743     fprintf(stdout, "\n     y = 0x");
 744     BN_print_fp(stdout, y);
 745     fprintf(stdout, "\n");
 746     /* G_y value taken from the standard: */
 747     if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
 748                    "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
 749                    "7086A272C24088BE94769FD16650"))
 750         ABORT;
 751     if (0 != BN_cmp(y, z))
 752         ABORT;
 753
 754     if (!BN_add(yplusone, y, BN_value_one()))
 755         ABORT;
 756     /*
 757      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 758      * and therefore setting the coordinates should fail.
 759      */
 760     if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
 761         ABORT;
 762
 763     fprintf(stdout, "verify degree ...");
 764     if (EC_GROUP_get_degree(group) != 521)
 765         ABORT;
 766     fprintf(stdout, " ok\n");
 767
 768     group_order_tests(group);
 769
 770     if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
 771         ABORT;
 772     if (!EC_GROUP_copy(P_521, group))
 773         ABORT;
 774
 775     /* more tests using the last curve */
 776
 777     /* Restore the point that got mangled in the (x, y + 1) test. */
 778     if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 779         ABORT;
 780
 781     if (!EC_POINT_copy(Q, P))
 782         ABORT;
 783     if (EC_POINT_is_at_infinity(group, Q))
 784         ABORT;
 785     if (!EC_POINT_dbl(group, P, P, ctx))
 786         ABORT;
 787     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
 788         ABORT;
 789     if (!EC_POINT_invert(group, Q, ctx))
 790         ABORT;                  /* P = -2Q */
 791
 792     if (!EC_POINT_add(group, R, P, Q, ctx))
 793         ABORT;
 794     if (!EC_POINT_add(group, R, R, Q, ctx))
 795         ABORT;
 796     if (!EC_POINT_is_at_infinity(group, R))
 797         ABORT;                  /* R = P + 2Q */
 798
 799     {
 800         const EC_POINT *points[4];
 801         const BIGNUM *scalars[4];
 802         BIGNUM *scalar3;
 803
 804         if (EC_POINT_is_at_infinity(group, Q))
 805             ABORT;
 806         points[0] = Q;
 807         points[1] = Q;
 808         points[2] = Q;
 809         points[3] = Q;
 810
 811         if (!EC_GROUP_get_order(group, z, ctx))
 812             ABORT;
 813         if (!BN_add(y, z, BN_value_one()))
 814             ABORT;
 815         if (BN_is_odd(y))
 816             ABORT;
 817         if (!BN_rshift1(y, y))
 818             ABORT;
 819         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 820         scalars[1] = y;
 821
 822         fprintf(stdout, "combined multiplication ...");
 823         fflush(stdout);
 824
 825         /* z is still the group order */
 826         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 827             ABORT;
 828         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 829             ABORT;
 830         if (0 != EC_POINT_cmp(group, P, R, ctx))
 831             ABORT;
 832         if (0 != EC_POINT_cmp(group, R, Q, ctx))
 833             ABORT;
 834
 835         fprintf(stdout, ".");
 836         fflush(stdout);
 837
 838         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
 839             ABORT;
 840         if (!BN_add(z, z, y))
 841             ABORT;
 842         BN_set_negative(z, 1);
 843         scalars[0] = y;
 844         scalars[1] = z;         /* z = -(order + y) */
 845
 846         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 847             ABORT;
 848         if (!EC_POINT_is_at_infinity(group, P))
 849             ABORT;
 850
 851         fprintf(stdout, ".");
 852         fflush(stdout);
 853
 854         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
 855             ABORT;
 856         if (!BN_add(z, x, y))
 857             ABORT;
 858         BN_set_negative(z, 1);
 859         scalars[0] = x;
 860         scalars[1] = y;
 861         scalars[2] = z;         /* z = -(x+y) */
 862
 863         scalar3 = BN_new();
 864         if (!scalar3)
 865             ABORT;
 866         BN_zero(scalar3);
 867         scalars[3] = scalar3;
 868
 869         if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
 870             ABORT;
 871         if (!EC_POINT_is_at_infinity(group, P))
 872             ABORT;
 873
 874         fprintf(stdout, " ok\n\n");
 875
 876         BN_free(scalar3);
 877     }
 878
 879     BN_CTX_free(ctx);
 880     BN_free(p);
 881     BN_free(a);
 882     BN_free(b);
 883     EC_GROUP_free(group);
 884     EC_POINT_free(P);
 885     EC_POINT_free(Q);
 886     EC_POINT_free(R);
 887     BN_free(x);
 888     BN_free(y);
 889     BN_free(z);
 890     BN_free(yplusone);
 891
 892     EC_GROUP_free(P_160);
 893     EC_GROUP_free(P_192);
 894     EC_GROUP_free(P_224);
 895     EC_GROUP_free(P_256);
 896     EC_GROUP_free(P_384);
 897     EC_GROUP_free(P_521);
 898
 899 }
 900
 901 /* Change test based on whether binary point compression is enabled or not. */
 902 # ifdef OPENSSL_EC_BIN_PT_COMP
 903 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 904         if (!BN_hex2bn(&x, _x)) ABORT; \
 905         if (!BN_hex2bn(&y, _y)) ABORT; \
 906         if (!BN_add(yplusone, y, BN_value_one())) ABORT;        \
 907         /* \
 908          * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, \
 909          * and therefore setting the coordinates should fail. \
 910          */ \
 911         if (EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, ctx)) ABORT; \
 912         if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
 913         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 914         if (!BN_hex2bn(&z, _order)) ABORT; \
 915         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 916         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 917         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 918         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 919         BN_print_fp(stdout, x); \
 920         fprintf(stdout, "\n     y = 0x"); \
 921         BN_print_fp(stdout, y); \
 922         fprintf(stdout, "\n"); \
 923         /* G_y value taken from the standard: */ \
 924         if (!BN_hex2bn(&z, _y)) ABORT; \
 925         if (0 != BN_cmp(y, z)) ABORT;
 926 # else
 927 #  define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 928         if (!BN_hex2bn(&x, _x)) ABORT; \
 929         if (!BN_hex2bn(&y, _y)) ABORT; \
 930         if (!BN_add(yplusone, y, BN_value_one())) ABORT;        \
 931         /* \
 932          * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, \
 933          * and therefore setting the coordinates should fail. \
 934          */ \
 935         if (EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, ctx)) ABORT; \
 936         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
 937         if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
 938         if (!BN_hex2bn(&z, _order)) ABORT; \
 939         if (!BN_hex2bn(&cof, _cof)) ABORT; \
 940         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
 941         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
 942         BN_print_fp(stdout, x); \
 943         fprintf(stdout, "\n     y = 0x"); \
 944         BN_print_fp(stdout, y); \
 945         fprintf(stdout, "\n");
 946 # endif
 947
 948 # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 949         if (!BN_hex2bn(&p, _p)) ABORT; \
 950         if (!BN_hex2bn(&a, _a)) ABORT; \
 951         if (!BN_hex2bn(&b, _b)) ABORT; \
 952         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
 953         CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
 954         fprintf(stdout, "verify degree ..."); \
 955         if (EC_GROUP_get_degree(group) != _degree) ABORT; \
 956         fprintf(stdout, " ok\n"); \
 957         group_order_tests(group); \
 958         if ((_variable = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL) ABORT; \
 959         if (!EC_GROUP_copy(_variable, group)) ABORT; \
 960
 961 # ifndef OPENSSL_NO_EC2M
 962
 963 static void char2_field_tests(void)
 964 {
 965     BN_CTX *ctx = NULL;
 966     BIGNUM *p, *a, *b;
 967     EC_GROUP *group;
 968     EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
 969         NULL, *C2_K571 = NULL;
 970     EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
 971         NULL, *C2_B571 = NULL;
 972     EC_POINT *P, *Q, *R;
 973     BIGNUM *x, *y, *z, *cof, *yplusone;
 974     unsigned char buf[100];
 975     size_t i, len;
 976     int k;
 977
 978     ctx = BN_CTX_new();
 979     if (!ctx)
 980         ABORT;
 981
 982     p = BN_new();
 983     a = BN_new();
 984     b = BN_new();
 985     if (p == NULL || a == NULL || b == NULL)
 986         ABORT;
 987
 988     if (!BN_hex2bn(&p, "13"))
 989         ABORT;
 990     if (!BN_hex2bn(&a, "3"))
 991         ABORT;
 992     if (!BN_hex2bn(&b, "1"))
 993         ABORT;
 994
 995     group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
 996                                                     * EC_GROUP_new_curve_GF2m
 997                                                     * so that the library gets
 998                                                     * to choose the EC_METHOD */
 999     if (!group)
1000         ABORT;
1001     if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
1002         ABORT;
1003
1004     {
1005         EC_GROUP *tmp;
1006         tmp = EC_GROUP_new(EC_GROUP_method_of(group));
1007         if (!tmp)
1008             ABORT;
1009         if (!EC_GROUP_copy(tmp, group))
1010             ABORT;
1011         EC_GROUP_free(group);
1012         group = tmp;
1013     }
1014
1015     if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
1016         ABORT;
1017
1018     fprintf(stdout,
1019             "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
1020     BN_print_fp(stdout, p);
1021     fprintf(stdout, ")\n     a = 0x");
1022     BN_print_fp(stdout, a);
1023     fprintf(stdout, "\n     b = 0x");
1024     BN_print_fp(stdout, b);
1025     fprintf(stdout, "\n(0x... means binary polynomial)\n");
1026
1027     P = EC_POINT_new(group);
1028     Q = EC_POINT_new(group);
1029     R = EC_POINT_new(group);
1030     if (!P || !Q || !R)
1031         ABORT;
1032
1033     if (!EC_POINT_set_to_infinity(group, P))
1034         ABORT;
1035     if (!EC_POINT_is_at_infinity(group, P))
1036         ABORT;
1037
1038     buf[0] = 0;
1039     if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1040         ABORT;
1041
1042     if (!EC_POINT_add(group, P, P, Q, ctx))
1043         ABORT;
1044     if (!EC_POINT_is_at_infinity(group, P))
1045         ABORT;
1046
1047     x = BN_new();
1048     y = BN_new();
1049     z = BN_new();
1050     cof = BN_new();
1051     yplusone = BN_new();
1052     if (x == NULL || y == NULL || z == NULL || cof == NULL || yplusone == NULL)
1053         ABORT;
1054
1055     if (!BN_hex2bn(&x, "6"))
1056         ABORT;
1057 /* Change test based on whether binary point compression is enabled or not. */
1058 #  ifdef OPENSSL_EC_BIN_PT_COMP
1059     if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1060         ABORT;
1061 #  else
1062     if (!BN_hex2bn(&y, "8"))
1063         ABORT;
1064     if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1065         ABORT;
1066 #  endif
1067     if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
1068 /* Change test based on whether binary point compression is enabled or not. */
1069 #  ifdef OPENSSL_EC_BIN_PT_COMP
1070         if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1071             ABORT;
1072 #  endif
1073         fprintf(stderr, "Point is not on curve: x = 0x");
1074         BN_print_fp(stderr, x);
1075         fprintf(stderr, ", y = 0x");
1076         BN_print_fp(stderr, y);
1077         fprintf(stderr, "\n");
1078         ABORT;
1079     }
1080
1081     fprintf(stdout, "A cyclic subgroup:\n");
1082     k = 100;
1083     do {
1084         if (k-- == 0)
1085             ABORT;
1086
1087         if (EC_POINT_is_at_infinity(group, P))
1088             fprintf(stdout, "     point at infinity\n");
1089         else {
1090             if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1091                 ABORT;
1092
1093             fprintf(stdout, "     x = 0x");
1094             BN_print_fp(stdout, x);
1095             fprintf(stdout, ", y = 0x");
1096             BN_print_fp(stdout, y);
1097             fprintf(stdout, "\n");
1098         }
1099
1100         if (!EC_POINT_copy(R, P))
1101             ABORT;
1102         if (!EC_POINT_add(group, P, P, Q, ctx))
1103             ABORT;
1104     }
1105     while (!EC_POINT_is_at_infinity(group, P));
1106
1107     if (!EC_POINT_add(group, P, Q, R, ctx))
1108         ABORT;
1109     if (!EC_POINT_is_at_infinity(group, P))
1110         ABORT;
1111
1112 /* Change test based on whether binary point compression is enabled or not. */
1113 #  ifdef OPENSSL_EC_BIN_PT_COMP
1114     len =
1115         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1116                            sizeof buf, ctx);
1117     if (len == 0)
1118         ABORT;
1119     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1120         ABORT;
1121     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1122         ABORT;
1123     fprintf(stdout, "Generator as octet string, compressed form:\n     ");
1124     for (i = 0; i < len; i++)
1125         fprintf(stdout, "%02X", buf[i]);
1126 #  endif
1127
1128     len =
1129         EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1130                            sizeof buf, ctx);
1131     if (len == 0)
1132         ABORT;
1133     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1134         ABORT;
1135     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1136         ABORT;
1137     fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
1138     for (i = 0; i < len; i++)
1139         fprintf(stdout, "%02X", buf[i]);
1140
1141 /* Change test based on whether binary point compression is enabled or not. */
1142 #  ifdef OPENSSL_EC_BIN_PT_COMP
1143     len =
1144         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1145                            ctx);
1146     if (len == 0)
1147         ABORT;
1148     if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1149         ABORT;
1150     if (0 != EC_POINT_cmp(group, P, Q, ctx))
1151         ABORT;
1152     fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
1153     for (i = 0; i < len; i++)
1154         fprintf(stdout, "%02X", buf[i]);
1155 #  endif
1156
1157     fprintf(stdout, "\n");
1158
1159     if (!EC_POINT_invert(group, P, ctx))
1160         ABORT;
1161     if (0 != EC_POINT_cmp(group, P, R, ctx))
1162         ABORT;
1163
1164     /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1165     CHAR2_CURVE_TEST
1166         ("NIST curve K-163",
1167          "0800000000000000000000000000000000000000C9",
1168          "1",
1169          "1",
1170          "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1171          "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1172          1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1173
1174     /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1175     CHAR2_CURVE_TEST
1176         ("NIST curve B-163",
1177          "0800000000000000000000000000000000000000C9",
1178          "1",
1179          "020A601907B8C953CA1481EB10512F78744A3205FD",
1180          "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1181          "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1182          1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1183
1184     /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1185     CHAR2_CURVE_TEST
1186         ("NIST curve K-233",
1187          "020000000000000000000000000000000000000004000000000000000001",
1188          "0",
1189          "1",
1190          "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1191          "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1192          0,
1193          "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1194          "4", 233, C2_K233);
1195
1196     /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1197     CHAR2_CURVE_TEST
1198         ("NIST curve B-233",
1199          "020000000000000000000000000000000000000004000000000000000001",
1200          "000000000000000000000000000000000000000000000000000000000001",
1201          "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1202          "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1203          "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1204          1,
1205          "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1206          "2", 233, C2_B233);
1207
1208     /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1209     CHAR2_CURVE_TEST
1210         ("NIST curve K-283",
1211          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1212          "0",
1213          "1",
1214          "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1215          "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1216          0,
1217          "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1218          "4", 283, C2_K283);
1219
1220     /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1221     CHAR2_CURVE_TEST
1222         ("NIST curve B-283",
1223          "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1224          "000000000000000000000000000000000000000000000000000000000000000000000001",
1225          "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1226          "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1227          "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1228          1,
1229          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1230          "2", 283, C2_B283);
1231
1232     /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1233     CHAR2_CURVE_TEST
1234         ("NIST curve K-409",
1235          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1236          "0",
1237          "1",
1238          "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1239          "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1240          1,
1241          "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1242          "4", 409, C2_K409);
1243
1244     /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1245     CHAR2_CURVE_TEST
1246         ("NIST curve B-409",
1247          "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1248          "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1249          "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1250          "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1251          "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1252          1,
1253          "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1254          "2", 409, C2_B409);
1255
1256     /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1257     CHAR2_CURVE_TEST
1258         ("NIST curve K-571",
1259          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1260          "0",
1261          "1",
1262          "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1263          "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1264          0,
1265          "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1266          "4", 571, C2_K571);
1267
1268     /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1269     CHAR2_CURVE_TEST
1270         ("NIST curve B-571",
1271          "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1272          "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1273          "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1274          "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1275          "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1276          1,
1277          "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1278          "2", 571, C2_B571);
1279
1280     /* more tests using the last curve */
1281
1282     if (!EC_POINT_copy(Q, P))
1283         ABORT;
1284     if (EC_POINT_is_at_infinity(group, Q))
1285         ABORT;
1286     if (!EC_POINT_dbl(group, P, P, ctx))
1287         ABORT;
1288     if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
1289         ABORT;
1290     if (!EC_POINT_invert(group, Q, ctx))
1291         ABORT;                  /* P = -2Q */
1292
1293     if (!EC_POINT_add(group, R, P, Q, ctx))
1294         ABORT;
1295     if (!EC_POINT_add(group, R, R, Q, ctx))
1296         ABORT;
1297     if (!EC_POINT_is_at_infinity(group, R))
1298         ABORT;                  /* R = P + 2Q */
1299
1300     {
1301         const EC_POINT *points[3];
1302         const BIGNUM *scalars[3];
1303
1304         if (EC_POINT_is_at_infinity(group, Q))
1305             ABORT;
1306         points[0] = Q;
1307         points[1] = Q;
1308         points[2] = Q;
1309
1310         if (!BN_add(y, z, BN_value_one()))
1311             ABORT;
1312         if (BN_is_odd(y))
1313             ABORT;
1314         if (!BN_rshift1(y, y))
1315             ABORT;
1316         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
1317         scalars[1] = y;
1318
1319         fprintf(stdout, "combined multiplication ...");
1320         fflush(stdout);
1321
1322         /* z is still the group order */
1323         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1324             ABORT;
1325         if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1326             ABORT;
1327         if (0 != EC_POINT_cmp(group, P, R, ctx))
1328             ABORT;
1329         if (0 != EC_POINT_cmp(group, R, Q, ctx))
1330             ABORT;
1331
1332         fprintf(stdout, ".");
1333         fflush(stdout);
1334
1335         if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1336             ABORT;
1337         if (!BN_add(z, z, y))
1338             ABORT;
1339         BN_set_negative(z, 1);
1340         scalars[0] = y;
1341         scalars[1] = z;         /* z = -(order + y) */
1342
1343         if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1344             ABORT;
1345         if (!EC_POINT_is_at_infinity(group, P))
1346             ABORT;
1347
1348         fprintf(stdout, ".");
1349         fflush(stdout);
1350
1351         if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1352             ABORT;
1353         if (!BN_add(z, x, y))
1354             ABORT;
1355         BN_set_negative(z, 1);
1356         scalars[0] = x;
1357         scalars[1] = y;
1358         scalars[2] = z;         /* z = -(x+y) */
1359
1360         if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1361             ABORT;
1362         if (!EC_POINT_is_at_infinity(group, P))
1363             ABORT;
1364
1365         fprintf(stdout, " ok\n\n");
1366     }
1367
1368     BN_CTX_free(ctx);
1369     BN_free(p);
1370     BN_free(a);
1371     BN_free(b);
1372     EC_GROUP_free(group);
1373     EC_POINT_free(P);
1374     EC_POINT_free(Q);
1375     EC_POINT_free(R);
1376     BN_free(x);
1377     BN_free(y);
1378     BN_free(z);
1379     BN_free(cof);
1380     BN_free(yplusone);
1381
1382     EC_GROUP_free(C2_K163);
1383     EC_GROUP_free(C2_B163);
1384     EC_GROUP_free(C2_K233);
1385     EC_GROUP_free(C2_B233);
1386     EC_GROUP_free(C2_K283);
1387     EC_GROUP_free(C2_B283);
1388     EC_GROUP_free(C2_K409);
1389     EC_GROUP_free(C2_B409);
1390     EC_GROUP_free(C2_K571);
1391     EC_GROUP_free(C2_B571);
1392
1393 }
1394 # endif
1395
1396 static void internal_curve_test(void)
1397 {
1398     EC_builtin_curve *curves = NULL;
1399     size_t crv_len = 0, n = 0;
1400     int ok = 1;
1401
1402     crv_len = EC_get_builtin_curves(NULL, 0);
1403     curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
1404     if (curves == NULL)
1405         return;
1406
1407     if (!EC_get_builtin_curves(curves, crv_len)) {
1408         OPENSSL_free(curves);
1409         return;
1410     }
1411
1412     fprintf(stdout, "testing internal curves: ");
1413
1414     for (n = 0; n < crv_len; n++) {
1415         EC_GROUP *group = NULL;
1416         int nid = curves[n].nid;
1417         if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1418             ok = 0;
1419             fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1420                     " curve %s\n", OBJ_nid2sn(nid));
1421             /* try next curve */
1422             continue;
1423         }
1424         if (!EC_GROUP_check(group, NULL)) {
1425             ok = 0;
1426             fprintf(stdout, "\nEC_GROUP_check() failed with"
1427                     " curve %s\n", OBJ_nid2sn(nid));
1428             EC_GROUP_free(group);
1429             /* try the next curve */
1430             continue;
1431         }
1432         fprintf(stdout, ".");
1433         fflush(stdout);
1434         EC_GROUP_free(group);
1435     }
1436     if (ok)
1437         fprintf(stdout, " ok\n\n");
1438     else {
1439         fprintf(stdout, " failed\n\n");
1440         ABORT;
1441     }
1442
1443     /* Test all built-in curves and let the library choose the EC_METHOD */
1444     for (n = 0; n < crv_len; n++) {
1445         EC_GROUP *group = NULL;
1446         int nid = curves[n].nid;
1447         /*
1448          * Skip for X25519 because low level operations such as EC_POINT_mul()
1449          * are not supported for this curve
1450          */
1451         if (nid == NID_X25519)
1452             continue;
1453         fprintf(stdout, "%s:\n", OBJ_nid2sn(nid));
1454         fflush(stdout);
1455         if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1456             ABORT;
1457         }
1458         group_order_tests(group);
1459         EC_GROUP_free(group);
1460     }
1461
1462     OPENSSL_free(curves);
1463     return;
1464 }
1465
1466 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1467 /*
1468  * nistp_test_params contains magic numbers for testing our optimized
1469  * implementations of several NIST curves with characteristic > 3.
1470  */
1471 struct nistp_test_params {
1472     const EC_METHOD *(*meth) ();
1473     int degree;
1474     /*
1475      * Qx, Qy and D are taken from
1476      * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1477      * Otherwise, values are standard curve parameters from FIPS 180-3
1478      */
1479     const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1480 };
1481
1482 static const struct nistp_test_params nistp_tests_params[] = {
1483     {
1484      /* P-224 */
1485      EC_GFp_nistp224_method,
1486      224,
1487      /* p */
1488      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1489      /* a */
1490      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1491      /* b */
1492      "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1493      /* Qx */
1494      "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1495      /* Qy */
1496      "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1497      /* Gx */
1498      "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1499      /* Gy */
1500      "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1501      /* order */
1502      "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1503      /* d */
1504      "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1505      },
1506     {
1507      /* P-256 */
1508      EC_GFp_nistp256_method,
1509      256,
1510      /* p */
1511      "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1512      /* a */
1513      "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1514      /* b */
1515      "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1516      /* Qx */
1517      "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1518      /* Qy */
1519      "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1520      /* Gx */
1521      "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1522      /* Gy */
1523      "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1524      /* order */
1525      "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1526      /* d */
1527      "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1528      },
1529     {
1530      /* P-521 */
1531      EC_GFp_nistp521_method,
1532      521,
1533      /* p */
1534      "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1535      /* a */
1536      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1537      /* b */
1538      "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1539      /* Qx */
1540      "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1541      /* Qy */
1542      "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1543      /* Gx */
1544      "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1545      /* Gy */
1546      "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1547      /* order */
1548      "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1549      /* d */
1550      "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1551      },
1552 };
1553
1554 static void nistp_single_test(const struct nistp_test_params *test)
1555 {
1556     BN_CTX *ctx;
1557     BIGNUM *p, *a, *b, *x, *y, *n, *m, *order, *yplusone;
1558     EC_GROUP *NISTP;
1559     EC_POINT *G, *P, *Q, *Q_CHECK;
1560
1561     fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1562             test->degree);
1563     ctx = BN_CTX_new();
1564     p = BN_new();
1565     a = BN_new();
1566     b = BN_new();
1567     x = BN_new();
1568     y = BN_new();
1569     m = BN_new();
1570     n = BN_new();
1571     order = BN_new();
1572     yplusone = BN_new();
1573
1574     NISTP = EC_GROUP_new(test->meth());
1575     if (!NISTP)
1576         ABORT;
1577     if (!BN_hex2bn(&p, test->p))
1578         ABORT;
1579     if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1580         ABORT;
1581     if (!BN_hex2bn(&a, test->a))
1582         ABORT;
1583     if (!BN_hex2bn(&b, test->b))
1584         ABORT;
1585     if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1586         ABORT;
1587     G = EC_POINT_new(NISTP);
1588     P = EC_POINT_new(NISTP);
1589     Q = EC_POINT_new(NISTP);
1590     Q_CHECK = EC_POINT_new(NISTP);
1591     if (!BN_hex2bn(&x, test->Qx))
1592         ABORT;
1593     if (!BN_hex2bn(&y, test->Qy))
1594         ABORT;
1595     if (!BN_add(yplusone, y, BN_value_one()))
1596         ABORT;
1597     /*
1598      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
1599      * and therefore setting the coordinates should fail.
1600      */
1601     if (EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, yplusone, ctx))
1602         ABORT;
1603     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1604         ABORT;
1605     if (!BN_hex2bn(&x, test->Gx))
1606         ABORT;
1607     if (!BN_hex2bn(&y, test->Gy))
1608         ABORT;
1609     if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1610         ABORT;
1611     if (!BN_hex2bn(&order, test->order))
1612         ABORT;
1613     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1614         ABORT;
1615
1616     fprintf(stdout, "verify degree ... ");
1617     if (EC_GROUP_get_degree(NISTP) != test->degree)
1618         ABORT;
1619     fprintf(stdout, "ok\n");
1620
1621     fprintf(stdout, "NIST test vectors ... ");
1622     if (!BN_hex2bn(&n, test->d))
1623         ABORT;
1624     /* fixed point multiplication */
1625     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1626     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1627         ABORT;
1628     /* random point multiplication */
1629     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1630     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1631         ABORT;
1632
1633     /* set generator to P = 2*G, where G is the standard generator */
1634     if (!EC_POINT_dbl(NISTP, P, G, ctx))
1635         ABORT;
1636     if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1637         ABORT;
1638     /* set the scalar to m=n/2, where n is the NIST test scalar */
1639     if (!BN_rshift(m, n, 1))
1640         ABORT;
1641
1642     /* test the non-standard generator */
1643     /* fixed point multiplication */
1644     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1645     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1646         ABORT;
1647     /* random point multiplication */
1648     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1649     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1650         ABORT;
1651
1652     /*
1653      * We have not performed precomputation so have_precompute mult should be
1654      * false
1655      */
1656     if (EC_GROUP_have_precompute_mult(NISTP))
1657         ABORT;
1658
1659     /* now repeat all tests with precomputation */
1660     if (!EC_GROUP_precompute_mult(NISTP, ctx))
1661         ABORT;
1662     if (!EC_GROUP_have_precompute_mult(NISTP))
1663         ABORT;
1664
1665     /* fixed point multiplication */
1666     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1667     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1668         ABORT;
1669     /* random point multiplication */
1670     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1671     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1672         ABORT;
1673
1674     /* reset generator */
1675     if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1676         ABORT;
1677     /* fixed point multiplication */
1678     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1679     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1680         ABORT;
1681     /* random point multiplication */
1682     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1683     if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1684         ABORT;
1685
1686     fprintf(stdout, "ok\n");
1687     group_order_tests(NISTP);
1688     EC_GROUP_free(NISTP);
1689     EC_POINT_free(G);
1690     EC_POINT_free(P);
1691     EC_POINT_free(Q);
1692     EC_POINT_free(Q_CHECK);
1693     BN_free(n);
1694     BN_free(m);
1695     BN_free(p);
1696     BN_free(a);
1697     BN_free(b);
1698     BN_free(x);
1699     BN_free(y);
1700     BN_free(order);
1701     BN_free(yplusone);
1702     BN_CTX_free(ctx);
1703 }
1704
1705 static void nistp_tests()
1706 {
1707     unsigned i;
1708
1709     for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
1710         nistp_single_test(&nistp_tests_params[i]);
1711     }
1712 }
1713 # endif
1714
1715 static void parameter_test(void)
1716 {
1717     EC_GROUP *group, *group2;
1718     ECPARAMETERS *ecparameters;
1719
1720     fprintf(stderr, "\ntesting ecparameters conversion ...");
1721
1722     group = EC_GROUP_new_by_curve_name(NID_secp112r1);
1723     if (!group)
1724         ABORT;
1725
1726     ecparameters = EC_GROUP_get_ecparameters(group, NULL);
1727     if (!ecparameters)
1728         ABORT;
1729     group2 = EC_GROUP_new_from_ecparameters(ecparameters);
1730     if (!group2)
1731         ABORT;
1732     if (EC_GROUP_cmp(group, group2, NULL))
1733         ABORT;
1734
1735     fprintf(stderr, " ok\n");
1736
1737     EC_GROUP_free(group);
1738     EC_GROUP_free(group2);
1739     ECPARAMETERS_free(ecparameters);
1740 }
1741
1742 static const char rnd_seed[] =
1743     "string to make the random number generator think it has entropy";
1744
1745 int main(int argc, char *argv[])
1746 {
1747     char *p;
1748
1749     p = getenv("OPENSSL_DEBUG_MEMORY");
1750     if (p != NULL && strcmp(p, "on") == 0)
1751         CRYPTO_set_mem_debug(1);
1752     CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1753
1754     RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1755
1756     prime_field_tests();
1757     puts("");
1758 # ifndef OPENSSL_NO_EC2M
1759     char2_field_tests();
1760 # endif
1761 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1762     nistp_tests();
1763 # endif
1764     /* test the internal curves */
1765     internal_curve_test();
1766
1767     parameter_test();
1768
1769 #ifndef OPENSSL_NO_CRYPTO_MDEBUG
1770     if (CRYPTO_mem_leaks_fp(stderr) <= 0)
1771         return 1;
1772 #endif
1773
1774     return 0;
1775 }
1776 #endif