test/ectest.c

   1 /*
   2  * Copyright 2001-2017 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 "e_os.h"
  25 #include "testutil.h"
  26
  27 #ifndef OPENSSL_NO_EC
  28 # include <openssl/ec.h>
  29 # ifndef OPENSSL_NO_ENGINE
  30 #  include <openssl/engine.h>
  31 # endif
  32 # include <openssl/err.h>
  33 # include <openssl/obj_mac.h>
  34 # include <openssl/objects.h>
  35 # include <openssl/rand.h>
  36 # include <openssl/bn.h>
  37 # include <openssl/opensslconf.h>
  38
  39 # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
  40 /* suppress "too big too optimize" warning */
  41 #  pragma warning(disable:4959)
  42 # endif
  43
  44 static size_t crv_len = 0;
  45 static EC_builtin_curve *curves = NULL;
  46
  47 /* test multiplication with group order, long and negative scalars */
  48 static int group_order_tests(EC_GROUP *group)
  49 {
  50     BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL;
  51     EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL;
  52     BN_CTX *ctx = NULL;
  53     int i = 0, r = 0;
  54
  55     if (!TEST_ptr(n1 = BN_new())
  56         || !TEST_ptr(n2 = BN_new())
  57         || !TEST_ptr(order = BN_new())
  58         || !TEST_ptr(ctx = BN_CTX_new())
  59         || !TEST_ptr(P = EC_POINT_new(group))
  60         || !TEST_ptr(Q = EC_POINT_new(group))
  61         || !TEST_ptr(R = EC_POINT_new(group))
  62         || !TEST_ptr(S = EC_POINT_new(group)))
  63         goto err;
  64
  65     if (!TEST_true(EC_GROUP_get_order(group, order, ctx))
  66         || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  67         || !TEST_true(EC_POINT_is_at_infinity(group, Q))
  68         || !TEST_true(EC_GROUP_precompute_mult(group, ctx))
  69         || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  70         || !TEST_true(EC_POINT_is_at_infinity(group, Q)))
  71         goto err;
  72
  73     for (i = 1; i <= 2; i++) {
  74         const BIGNUM *scalars[6];
  75         const EC_POINT *points[6];
  76
  77         if (!TEST_true(BN_set_word(n1, i))
  78             /*
  79              * If i == 1, P will be the predefined generator for which
  80              * EC_GROUP_precompute_mult has set up precomputation.
  81              */
  82             || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
  83             || !TEST_true(BN_one(n1))
  84             /* n1 = 1 - order */
  85             || !TEST_true(BN_sub(n1, n1, order))
  86             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx))
  87             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
  88
  89             /* n2 = 1 + order */
  90             || !TEST_true(BN_add(n2, order, BN_value_one()))
  91             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
  92             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
  93
  94             /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
  95             || !TEST_true(BN_mul(n2, n1, n2, ctx))
  96             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
  97             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
  98             goto err;
  99
 100         /* n2 = order^2 - 1 */
 101         BN_set_negative(n2, 0);
 102         if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
 103             /* Add P to verify the result. */
 104             || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx))
 105             || !TEST_true(EC_POINT_is_at_infinity(group, Q))
 106
 107             /* Exercise EC_POINTs_mul, including corner cases. */
 108             || !TEST_false(EC_POINT_is_at_infinity(group, P)))
 109             goto err;
 110
 111         scalars[0] = scalars[1] = BN_value_one();
 112         points[0]  = points[1]  = P;
 113
 114         if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
 115             || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx))
 116             || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx)))
 117             goto err;
 118
 119         scalars[0] = n1;
 120         points[0] = Q;          /* => infinity */
 121         scalars[1] = n2;
 122         points[1] = P;          /* => -P */
 123         scalars[2] = n1;
 124         points[2] = Q;          /* => infinity */
 125         scalars[3] = n2;
 126         points[3] = Q;          /* => infinity */
 127         scalars[4] = n1;
 128         points[4] = P;          /* => P */
 129         scalars[5] = n2;
 130         points[5] = Q;          /* => infinity */
 131         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
 132             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 133             goto err;
 134     }
 135
 136     r = 1;
 137 err:
 138     if (r == 0 && i != 0)
 139         TEST_info(i == 1 ? "allowing precomputation" :
 140                            "without precomputation");
 141     EC_POINT_free(P);
 142     EC_POINT_free(Q);
 143     EC_POINT_free(R);
 144     EC_POINT_free(S);
 145     BN_free(n1);
 146     BN_free(n2);
 147     BN_free(order);
 148     BN_CTX_free(ctx);
 149     return r;
 150 }
 151
 152 static int prime_field_tests(void)
 153 {
 154     BN_CTX *ctx = NULL;
 155     BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL;
 156     EC_GROUP *group = NULL, *tmp = NULL;
 157     EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL,
 158              *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
 159     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
 160     BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL;
 161     const EC_POINT *points[4];
 162     const BIGNUM *scalars[4];
 163     unsigned char buf[100];
 164     size_t i, len, r = 0;
 165     int k;
 166
 167     if (!TEST_ptr(ctx = BN_CTX_new())
 168         || !TEST_ptr(p = BN_new())
 169         || !TEST_ptr(a = BN_new())
 170         || !TEST_ptr(b = BN_new())
 171         || !TEST_true(BN_hex2bn(&p, "17"))
 172         || !TEST_true(BN_hex2bn(&a, "1"))
 173         || !TEST_true(BN_hex2bn(&b, "1"))
 174         /*
 175          * applications should use EC_GROUP_new_curve_GFp so
 176          * that the library gets to choose the EC_METHOD
 177          */
 178         || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method()))
 179         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 180         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
 181         || !TEST_true(EC_GROUP_copy(tmp, group)))
 182         goto err;
 183     EC_GROUP_free(group);
 184     group = tmp;
 185     tmp = NULL;
 186
 187     if (!TEST_true(EC_GROUP_get_curve_GFp(group, p, a, b, ctx)))
 188         goto err;
 189
 190     BIO_printf(bio_out,
 191             "Curve defined by Weierstrass equation\n"
 192             "     y^2 = x^3 + a*x + b  (mod 0x");
 193     BN_print(bio_out, p);
 194     BIO_printf(bio_out, ")\n     a = 0x");
 195     BN_print(bio_out, a);
 196     BIO_printf(bio_out, "\n     b = 0x");
 197     BN_print(bio_out, b);
 198     BIO_printf(bio_out, "\n");
 199
 200     buf[0] = 0;
 201     if (!TEST_ptr(P = EC_POINT_new(group))
 202         || !TEST_ptr(Q = EC_POINT_new(group))
 203         || !TEST_ptr(R = EC_POINT_new(group))
 204         || !TEST_true(EC_POINT_set_to_infinity(group, P))
 205         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 206         || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
 207         || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
 208         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 209         || !TEST_ptr(x = BN_new())
 210         || !TEST_ptr(y = BN_new())
 211         || !TEST_ptr(z = BN_new())
 212         || !TEST_ptr(yplusone = BN_new())
 213         || !TEST_true(BN_hex2bn(&x, "D"))
 214         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1,
 215                                                               ctx)))
 216         goto err;
 217
 218     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
 219         if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, Q, x, y,
 220                                                            ctx)))
 221             goto err;
 222         BIO_printf(bio_err, "Point is not on curve: x = 0x");
 223         BN_print_fp(stderr, x);
 224         BIO_printf(bio_err, ", y = 0x");
 225         BN_print_fp(stderr, y);
 226         BIO_printf(bio_err, "\n");
 227         goto err;
 228     }
 229
 230     BIO_printf(bio_out, "A cyclic subgroup:\n");
 231     k = 100;
 232     do {
 233         if (!TEST_int_ne(k--, 0))
 234             goto err;
 235
 236         if (EC_POINT_is_at_infinity(group, P)) {
 237             BIO_printf(bio_out, "     point at infinity\n");
 238         } else {
 239             if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y,
 240                                                                ctx)))
 241                 goto err;
 242
 243             BIO_printf(bio_out, "     x = 0x");
 244             BN_print(bio_out, x);
 245             BIO_printf(bio_out, ", y = 0x");
 246             BN_print(bio_out, y);
 247             BIO_printf(bio_out, "\n");
 248         }
 249
 250         if (!TEST_true(EC_POINT_copy(R, P))
 251             || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
 252             goto err;
 253
 254     } while (!EC_POINT_is_at_infinity(group, P));
 255
 256     if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
 257         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 258         goto err;
 259
 260     len =
 261         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
 262                            sizeof buf, ctx);
 263     if (!TEST_size_t_ne(len, 0)
 264         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 265         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 266         goto err;
 267     BIO_printf(bio_out, "Generator as octet string, compressed form:\n     ");
 268     for (i = 0; i < len; i++)
 269         BIO_printf(bio_out, "%02X", buf[i]);
 270
 271     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
 272                              buf, sizeof buf, ctx);
 273     if (!TEST_size_t_ne(len, 0)
 274         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 275         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 276         goto err;
 277     BIO_printf(bio_out, "\nGenerator as octet string, uncompressed form:\n"
 278                         "     ");
 279     for (i = 0; i < len; i++)
 280         BIO_printf(bio_out, "%02X", buf[i]);
 281
 282     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID,
 283                              buf, sizeof buf, ctx);
 284     if (!TEST_size_t_ne(len, 0)
 285         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 286         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 287         goto err;
 288     BIO_printf(bio_out, "\nGenerator as octet string, hybrid form:\n     ");
 289     for (i = 0; i < len; i++)
 290         BIO_printf(bio_out, "%02X", buf[i]);
 291
 292     if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z,
 293                                                             ctx)))
 294         goto err;
 295     BIO_printf(bio_out,
 296                "\nA representation of the inverse of that generator in\n"
 297                "Jacobian projective coordinates:\n"
 298                "     X = 0x");
 299     BN_print(bio_out, x);
 300     BIO_printf(bio_out, ", Y = 0x");
 301     BN_print(bio_out, y);
 302     BIO_printf(bio_out, ", Z = 0x");
 303     BN_print(bio_out, z);
 304     BIO_printf(bio_out, "\n");
 305
 306     if (!TEST_true(EC_POINT_invert(group, P, ctx))
 307         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 308
 309     /*
 310      * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
 311      * 2000) -- not a NIST curve, but commonly used
 312      */
 313
 314         || !TEST_true(BN_hex2bn(&p,                         "FFFFFFFF"
 315                                     "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
 316         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 317         || !TEST_true(BN_hex2bn(&a,                         "FFFFFFFF"
 318                                     "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
 319         || !TEST_true(BN_hex2bn(&b,                         "1C97BEFC"
 320                                     "54BD7A8B65ACF89F81D4D4ADC565FA45"))
 321         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 322         || !TEST_true(BN_hex2bn(&x,                         "4A96B568"
 323                                     "8EF573284664698968C38BB913CBFC82"))
 324         || !TEST_true(BN_hex2bn(&y,                         "23a62855"
 325                                     "3168947d59dcc912042351377ac5fb32"))
 326         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 327     /*
 328      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 329      * and therefore setting the coordinates should fail.
 330      */
 331         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 332                                                            yplusone, ctx))
 333         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 334         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 335         || !TEST_true(BN_hex2bn(&z,                       "0100000000"
 336                                     "000000000001F4C8F927AED3CA752257"))
 337         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 338         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 339         goto err;
 340     BIO_printf(bio_out, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
 341     BN_print(bio_out, x);
 342     BIO_printf(bio_out, "\n     y = 0x");
 343     BN_print(bio_out, y);
 344     BIO_printf(bio_out, "\n");
 345     /* G_y value taken from the standard: */
 346     if (!TEST_true(BN_hex2bn(&z,                         "23a62855"
 347                                  "3168947d59dcc912042351377ac5fb32"))
 348         || !TEST_BN_eq(y, z)
 349         || !TEST_int_eq(EC_GROUP_get_degree(group), 160)
 350         || !group_order_tests(group)
 351         || !TEST_ptr(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))
 352         || !TEST_true(EC_GROUP_copy(P_160, group))
 353
 354     /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 355
 356         || !TEST_true(BN_hex2bn(&p,                 "FFFFFFFFFFFFFFFF"
 357                                     "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
 358         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 359         || !TEST_true(BN_hex2bn(&a,                 "FFFFFFFFFFFFFFFF"
 360                                     "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
 361         || !TEST_true(BN_hex2bn(&b,                 "64210519E59C80E7"
 362                                     "0FA7E9AB72243049FEB8DEECC146B9B1"))
 363         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 364         || !TEST_true(BN_hex2bn(&x,                 "188DA80EB03090F6"
 365                                     "7CBF20EB43A18800F4FF0AFD82FF1012"))
 366         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 367                                                               ctx))
 368         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 369         || !TEST_true(BN_hex2bn(&z,                 "FFFFFFFFFFFFFFFF"
 370                                     "FFFFFFFF99DEF836146BC9B1B4D22831"))
 371         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 372         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 373         goto err;
 374
 375     BIO_printf(bio_out, "\nNIST curve P-192 -- Generator:\n     x = 0x");
 376     BN_print(bio_out, x);
 377     BIO_printf(bio_out, "\n     y = 0x");
 378     BN_print(bio_out, y);
 379     BIO_printf(bio_out, "\n");
 380     /* G_y value taken from the standard: */
 381     if (!TEST_true(BN_hex2bn(&z,                 "07192B95FFC8DA78"
 382                                  "631011ED6B24CDD573F977A11E794811"))
 383         || !TEST_BN_eq(y, z)
 384         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 385     /*
 386      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 387      * and therefore setting the coordinates should fail.
 388      */
 389         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 390                                                            yplusone, ctx))
 391         || !TEST_int_eq(EC_GROUP_get_degree(group), 192)
 392         || !group_order_tests(group)
 393         || !TEST_ptr(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))
 394         || !TEST_true(EC_GROUP_copy(P_192, group))
 395
 396     /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 397
 398         || !TEST_true(BN_hex2bn(&p,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 399                                     "FFFFFFFF000000000000000000000001"))
 400         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 401         || !TEST_true(BN_hex2bn(&a,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 402                                     "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
 403         || !TEST_true(BN_hex2bn(&b,         "B4050A850C04B3ABF5413256"
 404                                     "5044B0B7D7BFD8BA270B39432355FFB4"))
 405         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 406         || !TEST_true(BN_hex2bn(&x,         "B70E0CBD6BB4BF7F321390B9"
 407                                     "4A03C1D356C21122343280D6115C1D21"))
 408         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
 409                                                               ctx))
 410         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 411         || !TEST_true(BN_hex2bn(&z,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 412                                     "FFFF16A2E0B8F03E13DD29455C5C2A3D"))
 413         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 414         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 415         goto err;
 416
 417     BIO_printf(bio_out, "\nNIST curve P-224 -- Generator:\n     x = 0x");
 418     BN_print(bio_out, x);
 419     BIO_printf(bio_out, "\n     y = 0x");
 420     BN_print(bio_out, y);
 421     BIO_printf(bio_out, "\n");
 422     /* G_y value taken from the standard: */
 423     if (!TEST_true(BN_hex2bn(&z,         "BD376388B5F723FB4C22DFE6"
 424                                  "CD4375A05A07476444D5819985007E34"))
 425         || !TEST_BN_eq(y, z)
 426         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 427     /*
 428      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 429      * and therefore setting the coordinates should fail.
 430      */
 431         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 432                                                            yplusone, ctx))
 433         || !TEST_int_eq(EC_GROUP_get_degree(group), 224)
 434         || !group_order_tests(group)
 435         || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))
 436         || !TEST_true(EC_GROUP_copy(P_224, group))
 437
 438     /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 439
 440         || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000"
 441                                     "00000000FFFFFFFFFFFFFFFFFFFFFFFF"))
 442         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 443         || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000"
 444                                     "00000000FFFFFFFFFFFFFFFFFFFFFFFC"))
 445         || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC"
 446                                     "651D06B0CC53B0F63BCE3C3E27D2604B"))
 447         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 448
 449         || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2"
 450                                     "77037D812DEB33A0F4A13945D898C296"))
 451         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 452                                                               ctx))
 453         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 454         || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF"
 455                                     "BCE6FAADA7179E84F3B9CAC2FC632551"))
 456         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 457         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 458         goto err;
 459
 460     BIO_printf(bio_out, "\nNIST curve P-256 -- Generator:\n     x = 0x");
 461     BN_print(bio_out, x);
 462     BIO_printf(bio_out, "\n     y = 0x");
 463     BN_print(bio_out, y);
 464     BIO_printf(bio_out, "\n");
 465     /* G_y value taken from the standard: */
 466     if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16"
 467                                  "2BCE33576B315ECECBB6406837BF51F5"))
 468         || !TEST_BN_eq(y, z)
 469         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 470     /*
 471      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 472      * and therefore setting the coordinates should fail.
 473      */
 474         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 475                                                            yplusone, ctx))
 476         || !TEST_int_eq(EC_GROUP_get_degree(group), 256)
 477         || !group_order_tests(group)
 478         || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))
 479         || !TEST_true(EC_GROUP_copy(P_256, group))
 480
 481     /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 482
 483         || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 484                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
 485                                     "FFFFFFFF0000000000000000FFFFFFFF"))
 486         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 487         || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 488                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
 489                                     "FFFFFFFF0000000000000000FFFFFFFC"))
 490         || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19"
 491                                     "181D9C6EFE8141120314088F5013875A"
 492                                     "C656398D8A2ED19D2A85C8EDD3EC2AEF"))
 493         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 494
 495         || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74"
 496                                     "6E1D3B628BA79B9859F741E082542A38"
 497                                     "5502F25DBF55296C3A545E3872760AB7"))
 498         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 499                                                               ctx))
 500         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 501         || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 502                                     "FFFFFFFFFFFFFFFFC7634D81F4372DDF"
 503                                     "581A0DB248B0A77AECEC196ACCC52973"))
 504         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 505         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 506         goto err;
 507
 508     BIO_printf(bio_out, "\nNIST curve P-384 -- Generator:\n     x = 0x");
 509     BN_print(bio_out, x);
 510     BIO_printf(bio_out, "\n     y = 0x");
 511     BN_print(bio_out, y);
 512     BIO_printf(bio_out, "\n");
 513     /* G_y value taken from the standard: */
 514     if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29"
 515                                  "F8F41DBD289A147CE9DA3113B5F0B8C0"
 516                                  "0A60B1CE1D7E819D7A431D7C90EA0E5F"))
 517         || !TEST_BN_eq(y, z)
 518         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 519     /*
 520      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 521      * and therefore setting the coordinates should fail.
 522      */
 523         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 524                                                            yplusone, ctx))
 525         || !TEST_int_eq(EC_GROUP_get_degree(group), 384)
 526         || !group_order_tests(group)
 527         || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))
 528         || !TEST_true(EC_GROUP_copy(P_384, group))
 529
 530     /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 531         || !TEST_true(BN_hex2bn(&p,                              "1FF"
 532                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 533                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 534                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 535                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
 536         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 537         || !TEST_true(BN_hex2bn(&a,                              "1FF"
 538                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 539                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 540                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 541                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
 542         || !TEST_true(BN_hex2bn(&b,                              "051"
 543                                     "953EB9618E1C9A1F929A21A0B68540EE"
 544                                     "A2DA725B99B315F3B8B489918EF109E1"
 545                                     "56193951EC7E937B1652C0BD3BB1BF07"
 546                                     "3573DF883D2C34F1EF451FD46B503F00"))
 547         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 548         || !TEST_true(BN_hex2bn(&x,                               "C6"
 549                                     "858E06B70404E9CD9E3ECB662395B442"
 550                                     "9C648139053FB521F828AF606B4D3DBA"
 551                                     "A14B5E77EFE75928FE1DC127A2FFA8DE"
 552                                     "3348B3C1856A429BF97E7E31C2E5BD66"))
 553         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
 554                                                               ctx))
 555         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 556         || !TEST_true(BN_hex2bn(&z,                              "1FF"
 557                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 558                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA"
 559                                     "51868783BF2F966B7FCC0148F709A5D0"
 560                                     "3BB5C9B8899C47AEBB6FB71E91386409"))
 561         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 562         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 563         goto err;
 564
 565     BIO_printf(bio_out, "\nNIST curve P-521 -- Generator:\n     x = 0x");
 566     BN_print(bio_out, x);
 567     BIO_printf(bio_out, "\n     y = 0x");
 568     BN_print(bio_out, y);
 569     BIO_printf(bio_out, "\n");
 570     /* G_y value taken from the standard: */
 571     if (!TEST_true(BN_hex2bn(&z,                              "118"
 572                                  "39296A789A3BC0045C8A5FB42C7D1BD9"
 573                                  "98F54449579B446817AFBD17273E662C"
 574                                  "97EE72995EF42640C550B9013FAD0761"
 575                                  "353C7086A272C24088BE94769FD16650"))
 576         || !TEST_BN_eq(y, z)
 577         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 578     /*
 579      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 580      * and therefore setting the coordinates should fail.
 581      */
 582         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 583                                                            yplusone, ctx))
 584         || !TEST_int_eq(EC_GROUP_get_degree(group), 521)
 585         || !group_order_tests(group)
 586         || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))
 587         || !TEST_true(EC_GROUP_copy(P_521, group))
 588
 589     /* more tests using the last curve */
 590
 591     /* Restore the point that got mangled in the (x, y + 1) test. */
 592         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 593         || !TEST_true(EC_POINT_copy(Q, P))
 594         || !TEST_false(EC_POINT_is_at_infinity(group, Q))
 595         || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
 596         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 597         || !TEST_true(EC_POINT_invert(group, Q, ctx))       /* P = -2Q */
 598         || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
 599         || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
 600         || !TEST_true(EC_POINT_is_at_infinity(group, R))    /* R = P + 2Q */
 601         || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
 602         goto err;
 603     points[0] = Q;
 604     points[1] = Q;
 605     points[2] = Q;
 606     points[3] = Q;
 607
 608     if (!TEST_true(EC_GROUP_get_order(group, z, ctx))
 609         || !TEST_true(BN_add(y, z, BN_value_one()))
 610         || !TEST_BN_even(y)
 611         || !TEST_true(BN_rshift1(y, y)))
 612         goto err;
 613     scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 614     scalars[1] = y;
 615
 616     BIO_printf(bio_out, "combined multiplication ...");
 617
 618     /* z is still the group order */
 619     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 620         || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 621         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 622         || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))
 623         || !TEST_true(BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
 624         || !TEST_true(BN_add(z, z, y)))
 625         goto err;
 626     BN_set_negative(z, 1);
 627     scalars[0] = y;
 628     scalars[1] = z;         /* z = -(order + y) */
 629
 630     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 631         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 632         || !TEST_true(BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
 633         || !TEST_true(BN_add(z, x, y)))
 634         goto err;
 635     BN_set_negative(z, 1);
 636     scalars[0] = x;
 637     scalars[1] = y;
 638     scalars[2] = z;         /* z = -(x+y) */
 639
 640     if (!TEST_ptr(scalar3 = BN_new()))
 641         goto err;
 642     BN_zero(scalar3);
 643     scalars[3] = scalar3;
 644
 645     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
 646         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 647         goto err;
 648
 649     BIO_printf(bio_out, " ok\n\n");
 650
 651
 652     r = 1;
 653 err:
 654     BN_CTX_free(ctx);
 655     BN_free(p);
 656     BN_free(a);
 657     BN_free(b);
 658     EC_GROUP_free(group);
 659     EC_GROUP_free(tmp);
 660     EC_POINT_free(P);
 661     EC_POINT_free(Q);
 662     EC_POINT_free(R);
 663     BN_free(x);
 664     BN_free(y);
 665     BN_free(z);
 666     BN_free(yplusone);
 667     BN_free(scalar3);
 668
 669     EC_GROUP_free(P_160);
 670     EC_GROUP_free(P_192);
 671     EC_GROUP_free(P_224);
 672     EC_GROUP_free(P_256);
 673     EC_GROUP_free(P_384);
 674     EC_GROUP_free(P_521);
 675     return r;
 676 }
 677
 678 # ifndef OPENSSL_NO_EC2M
 679
 680 static struct c2_curve_test {
 681     const char *name;
 682     const char *p;
 683     const char *a;
 684     const char *b;
 685     const char *x;
 686     const char *y;
 687     int ybit;
 688     const char *order;
 689     const char *cof;
 690     int degree;
 691 } char2_curve_tests[] = {
 692     /* Curve K-163 (FIPS PUB 186-2, App. 6) */
 693     {
 694         "NIST curve K-163",
 695         "0800000000000000000000000000000000000000C9",
 696         "1",
 697         "1",
 698         "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
 699         "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
 700         1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163
 701     },
 702     /* Curve B-163 (FIPS PUB 186-2, App. 6) */
 703     {
 704         "NIST curve B-163",
 705         "0800000000000000000000000000000000000000C9",
 706         "1",
 707         "020A601907B8C953CA1481EB10512F78744A3205FD",
 708         "03F0EBA16286A2D57EA0991168D4994637E8343E36",
 709         "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
 710         1, "040000000000000000000292FE77E70C12A4234C33", "2", 163
 711     },
 712     /* Curve K-233 (FIPS PUB 186-2, App. 6) */
 713     {
 714         "NIST curve K-233",
 715         "020000000000000000000000000000000000000004000000000000000001",
 716         "0",
 717         "1",
 718         "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
 719         "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
 720         0,
 721         "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
 722         "4", 233
 723     },
 724     /* Curve B-233 (FIPS PUB 186-2, App. 6) */
 725     {
 726         "NIST curve B-233",
 727         "020000000000000000000000000000000000000004000000000000000001",
 728         "000000000000000000000000000000000000000000000000000000000001",
 729         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
 730         "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
 731         "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
 732         1,
 733         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
 734         "2", 233
 735     },
 736     /* Curve K-283 (FIPS PUB 186-2, App. 6) */
 737     {
 738         "NIST curve K-283",
 739                                                                 "08000000"
 740         "00000000000000000000000000000000000000000000000000000000000010A1",
 741         "0",
 742         "1",
 743                                                                 "0503213F"
 744         "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
 745                                                                 "01CCDA38"
 746         "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
 747         0,
 748                                                                 "01FFFFFF"
 749         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
 750         "4", 283
 751     },
 752     /* Curve B-283 (FIPS PUB 186-2, App. 6) */
 753     {
 754         "NIST curve B-283",
 755                                                                 "08000000"
 756         "00000000000000000000000000000000000000000000000000000000000010A1",
 757                                                                 "00000000"
 758         "0000000000000000000000000000000000000000000000000000000000000001",
 759                                                                 "027B680A"
 760         "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
 761                                                                 "05F93925"
 762         "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
 763                                                                 "03676854"
 764         "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
 765         1,
 766                                                                 "03FFFFFF"
 767         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
 768         "2", 283
 769     },
 770     /* Curve K-409 (FIPS PUB 186-2, App. 6) */
 771     {
 772         "NIST curve K-409",
 773                                 "0200000000000000000000000000000000000000"
 774         "0000000000000000000000000000000000000000008000000000000000000001",
 775         "0",
 776         "1",
 777                                 "0060F05F658F49C1AD3AB1890F7184210EFD0987"
 778         "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
 779                                 "01E369050B7C4E42ACBA1DACBF04299C3460782F"
 780         "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
 781         1,
 782                                 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 783         "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
 784         "4", 409
 785     },
 786     /* Curve B-409 (FIPS PUB 186-2, App. 6) */
 787     {
 788         "NIST curve B-409",
 789                                 "0200000000000000000000000000000000000000"
 790         "0000000000000000000000000000000000000000008000000000000000000001",
 791                                 "0000000000000000000000000000000000000000"
 792         "0000000000000000000000000000000000000000000000000000000000000001",
 793                                 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E"
 794         "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
 795                                 "015D4860D088DDB3496B0C6064756260441CDE4A"
 796         "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
 797                                 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5"
 798         "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
 799         1,
 800                                 "0100000000000000000000000000000000000000"
 801         "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
 802         "2", 409
 803     },
 804     /* Curve K-571 (FIPS PUB 186-2, App. 6) */
 805     {
 806         "NIST curve K-571",
 807                                                          "800000000000000"
 808         "0000000000000000000000000000000000000000000000000000000000000000"
 809         "0000000000000000000000000000000000000000000000000000000000000425",
 810         "0",
 811         "1",
 812                                                         "026EB7A859923FBC"
 813         "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6"
 814         "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
 815                                                         "0349DC807F4FBF37"
 816         "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7"
 817         "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
 818         0,
 819                                                         "0200000000000000"
 820         "00000000000000000000000000000000000000000000000000000000131850E1"
 821         "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
 822         "4", 571
 823     },
 824     /* Curve B-571 (FIPS PUB 186-2, App. 6) */
 825     {
 826         "NIST curve B-571",
 827                                                          "800000000000000"
 828         "0000000000000000000000000000000000000000000000000000000000000000"
 829         "0000000000000000000000000000000000000000000000000000000000000425",
 830                                                         "0000000000000000"
 831         "0000000000000000000000000000000000000000000000000000000000000000"
 832         "0000000000000000000000000000000000000000000000000000000000000001",
 833                                                         "02F40E7E2221F295"
 834         "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933"
 835         "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
 836                                                         "0303001D34B85629"
 837         "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293"
 838         "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
 839                                                         "037BF27342DA639B"
 840         "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57"
 841         "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
 842         1,
 843                                                         "03FFFFFFFFFFFFFF"
 844         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18"
 845         "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
 846         "2", 571
 847     }
 848 };
 849
 850 static int char2_curve_test(int n)
 851 {
 852     int r = 0;
 853     BN_CTX *ctx = NULL;
 854     BIGNUM *p = NULL, *a = NULL, *b = NULL;
 855     BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
 856     EC_GROUP *group = NULL, *variable = NULL;
 857     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
 858     const EC_POINT *points[3];
 859     const BIGNUM *scalars[3];
 860     struct c2_curve_test *const test = char2_curve_tests + n;
 861
 862     if (!TEST_ptr(ctx = BN_CTX_new())
 863         || !TEST_ptr(p = BN_new())
 864         || !TEST_ptr(a = BN_new())
 865         || !TEST_ptr(b = BN_new())
 866         || !TEST_ptr(x = BN_new())
 867         || !TEST_ptr(y = BN_new())
 868         || !TEST_ptr(z = BN_new())
 869         || !TEST_ptr(yplusone = BN_new())
 870         || !TEST_true(BN_hex2bn(&p, test->p))
 871         || !TEST_true(BN_hex2bn(&a, test->a))
 872         || !TEST_true(BN_hex2bn(&b, test->b))
 873         || !TEST_true(group = EC_GROUP_new(EC_GF2m_simple_method()))
 874         || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
 875         || !TEST_ptr(P = EC_POINT_new(group))
 876         || !TEST_ptr(Q = EC_POINT_new(group))
 877         || !TEST_ptr(R = EC_POINT_new(group))
 878         || !TEST_true(BN_hex2bn(&x, test->x))
 879         || !TEST_true(BN_hex2bn(&y, test->y))
 880         || !TEST_true(BN_add(yplusone, y, BN_value_one())))
 881         goto err;
 882
 883 /* Change test based on whether binary point compression is enabled or not. */
 884 # ifdef OPENSSL_EC_BIN_PT_COMP
 885     /*
 886      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 887      * and therefore setting the coordinates should fail.
 888      */
 889     if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
 890                                                          ctx))
 891         || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, P, x,
 892                                                                test->y_bit,
 893                                                                ctx))
 894         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 895         || !TEST_true(BN_hex2bn(&z, test->order))
 896         || !TEST_true(BN_hex2bn(&cof, test->cof))
 897         || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))
 898         || !TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
 899                                                            ctx)))
 900         goto err;
 901     BIO_printf(bio_out, "\n%s -- Generator:\n     x = 0x", test->name);
 902     BN_print(bio_out, x);
 903     BIO_printf(bio_out, "\n     y = 0x");
 904     BN_print(bio_out, y);
 905     BIO_printf(bio_out, "\n");
 906     /* G_y value taken from the standard: */
 907     if (!TEST_true(BN_hex2bn(&z, test->y))
 908         || !TEST_BN_eq(y, z))
 909         goto err;
 910 # else
 911     /*
 912      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 913      * and therefore setting the coordinates should fail.
 914      */
 915     if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
 916                     ctx))
 917         || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
 918         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 919         || !TEST_true(BN_hex2bn(&z, test->order))
 920         || !TEST_true(BN_hex2bn(&cof, test->cof))
 921         || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)))
 922         goto err;
 923     BIO_printf(bio_out, "\n%s -- Generator:\n     x = 0x", test->name); \
 924     BN_print(bio_out, x); \
 925     BIO_printf(bio_out, "\n     y = 0x"); \
 926     BN_print(bio_out, y); \
 927     BIO_printf(bio_out, "\n");
 928 # endif
 929
 930     if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree)
 931         || !group_order_tests(group)
 932         || !TEST_ptr(variable = EC_GROUP_new(EC_GROUP_method_of(group)))
 933         || !TEST_true(EC_GROUP_copy(variable, group)))
 934         goto err;
 935
 936     /* more tests using the last curve */
 937     if (n == OSSL_NELEM(char2_curve_tests) - 1) {
 938         if (!TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y,
 939                                                                 ctx))
 940             || !TEST_true(EC_POINT_copy(Q, P))
 941             || !TEST_false(EC_POINT_is_at_infinity(group, Q))
 942             || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
 943             || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 944             || !TEST_true(EC_POINT_invert(group, Q, ctx))       /* P = -2Q */
 945             || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
 946             || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
 947             || !TEST_true(EC_POINT_is_at_infinity(group, R))   /* R = P + 2Q */
 948             || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
 949             goto err;
 950
 951         points[0] = Q;
 952         points[1] = Q;
 953         points[2] = Q;
 954
 955         if (!TEST_true(BN_add(y, z, BN_value_one()))
 956             || !TEST_BN_even(y)
 957             || !TEST_true(BN_rshift1(y, y)))
 958             goto err;
 959         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 960         scalars[1] = y;
 961
 962         BIO_printf(bio_out, "combined multiplication ...");
 963
 964         /* z is still the group order */
 965         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 966             || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 967             || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 968             || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)))
 969             goto err;
 970
 971         if (!TEST_true(BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
 972             || !TEST_true(BN_add(z, z, y)))
 973             goto err;
 974         BN_set_negative(z, 1);
 975         scalars[0] = y;
 976         scalars[1] = z;         /* z = -(order + y) */
 977
 978         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 979             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 980             goto err;
 981
 982         if (!TEST_true(BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
 983             || !TEST_true(BN_add(z, x, y)))
 984             goto err;
 985         BN_set_negative(z, 1);
 986         scalars[0] = x;
 987         scalars[1] = y;
 988         scalars[2] = z;         /* z = -(x+y) */
 989
 990         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
 991             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 992             goto err;;
 993     }
 994
 995     r = 1;
 996 err:
 997     BN_CTX_free(ctx);
 998     BN_free(p);
 999     BN_free(a);
1000     BN_free(b);
1001     BN_free(x);
1002     BN_free(y);
1003     BN_free(z);
1004     BN_free(yplusone);
1005     BN_free(cof);
1006     EC_POINT_free(P);
1007     EC_POINT_free(Q);
1008     EC_POINT_free(R);
1009     EC_GROUP_free(group);
1010     EC_GROUP_free(variable);
1011     return r;
1012 }
1013
1014 static int char2_field_tests(void)
1015 {
1016     BN_CTX *ctx = NULL;
1017     BIGNUM *p = NULL, *a = NULL, *b = NULL;
1018     EC_GROUP *group = NULL, *tmp = NULL;
1019     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
1020     BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
1021     unsigned char buf[100];
1022     size_t i, len;
1023     int k, r = 0;
1024
1025     if (!TEST_ptr(ctx = BN_CTX_new())
1026         || !TEST_ptr(p = BN_new())
1027         || !TEST_ptr(a = BN_new())
1028         || !TEST_ptr(b = BN_new())
1029         || !TEST_true(BN_hex2bn(&p, "13"))
1030         || !TEST_true(BN_hex2bn(&a, "3"))
1031         || !TEST_true(BN_hex2bn(&b, "1")))
1032         goto err;
1033
1034     group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
1035                                                     * EC_GROUP_new_curve_GF2m
1036                                                     * so that the library gets
1037                                                     * to choose the EC_METHOD */
1038     if (!TEST_ptr(group)
1039         || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
1040         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
1041         || !TEST_true(EC_GROUP_copy(tmp, group)))
1042         goto err;
1043     EC_GROUP_free(group);
1044     group = tmp;
1045     tmp = NULL;
1046
1047     if (!TEST_true(EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)))
1048         goto err;
1049
1050     BIO_printf(bio_out,
1051             "Curve defined by Weierstrass equation\n"
1052             "     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
1053     BN_print(bio_out, p);
1054     BIO_printf(bio_out, ")\n     a = 0x");
1055     BN_print(bio_out, a);
1056     BIO_printf(bio_out, "\n     b = 0x");
1057     BN_print(bio_out, b);
1058     BIO_printf(bio_out, "\n(0x... means binary polynomial)\n");
1059
1060      if (!TEST_ptr(P = EC_POINT_new(group))
1061         || !TEST_ptr(Q = EC_POINT_new(group))
1062         || !TEST_ptr(R = EC_POINT_new(group))
1063         || !TEST_true(EC_POINT_set_to_infinity(group, P))
1064         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
1065         goto err;
1066
1067     buf[0] = 0;
1068     if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
1069         || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
1070         || !TEST_true(EC_POINT_is_at_infinity(group, P))
1071         || !TEST_ptr(x = BN_new())
1072         || !TEST_ptr(y = BN_new())
1073         || !TEST_ptr(z = BN_new())
1074         || !TEST_ptr(cof = BN_new())
1075         || !TEST_ptr(yplusone = BN_new())
1076         || !TEST_true(BN_hex2bn(&x, "6"))
1077 /* Change test based on whether binary point compression is enabled or not. */
1078 #  ifdef OPENSSL_EC_BIN_PT_COMP
1079         || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1,
1080                                                                ctx))
1081 #  else
1082         || !TEST_true(BN_hex2bn(&y, "8"))
1083         || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1084 #  endif
1085        )
1086         goto err;
1087     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
1088 /* Change test based on whether binary point compression is enabled or not. */
1089 #  ifdef OPENSSL_EC_BIN_PT_COMP
1090         if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y,
1091                                                             ctx)))
1092             goto err;
1093 #  endif
1094         BIO_printf(bio_err, "Point is not on curve: x = 0x");
1095         BN_print_fp(stderr, x);
1096         BIO_printf(bio_err, ", y = 0x");
1097         BN_print_fp(stderr, y);
1098         BIO_printf(bio_err, "\n");
1099         goto err;
1100     }
1101
1102     BIO_printf(bio_out, "A cyclic subgroup:\n");
1103     k = 100;
1104     do {
1105         if (!TEST_int_ne(k--, 0))
1106             goto err;
1107
1108         if (EC_POINT_is_at_infinity(group, P))
1109             BIO_printf(bio_out, "     point at infinity\n");
1110         else {
1111             if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
1112                                                                 ctx)))
1113                 goto err;
1114
1115             BIO_printf(bio_out, "     x = 0x");
1116             BN_print(bio_out, x);
1117             BIO_printf(bio_out, ", y = 0x");
1118             BN_print(bio_out, y);
1119             BIO_printf(bio_out, "\n");
1120         }
1121
1122         if (!TEST_true(EC_POINT_copy(R, P))
1123             || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
1124             goto err;
1125     }
1126     while (!EC_POINT_is_at_infinity(group, P));
1127
1128     if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
1129         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
1130         goto err;
1131
1132 /* Change test based on whether binary point compression is enabled or not. */
1133 #  ifdef OPENSSL_EC_BIN_PT_COMP
1134     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED,
1135                              buf, sizeof buf, ctx);
1136     if (!TEST_size_t_ne(len, 0)
1137         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1138         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1139         goto err;
1140     BIO_printf(bio_out, "Generator as octet string, compressed form:\n     ");
1141     for (i = 0; i < len; i++)
1142         BIO_printf(bio_out, "%02X", buf[i]);
1143 #  endif
1144
1145     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
1146                              buf, sizeof buf, ctx);
1147     if (!TEST_size_t_ne(len, 0)
1148         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1149         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1150         goto err;
1151     BIO_printf(bio_out, "\nGenerator as octet string, uncompressed form:\n"
1152                         "     ");
1153     for (i = 0; i < len; i++)
1154         BIO_printf(bio_out, "%02X", buf[i]);
1155
1156 /* Change test based on whether binary point compression is enabled or not. */
1157 #  ifdef OPENSSL_EC_BIN_PT_COMP
1158     len =
1159         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1160                            ctx);
1161     if (!TEST_size_t_ne(len, 0)
1162         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1163         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1164         goto err;
1165     BIO_printf(bio_out, "\nGenerator as octet string, hybrid form:\n     ");
1166     for (i = 0; i < len; i++)
1167         BIO_printf(bio_out, "%02X", buf[i]);
1168 #  endif
1169     BIO_printf(bio_out, "\n");
1170
1171     if (!TEST_true(EC_POINT_invert(group, P, ctx))
1172         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)))
1173         goto err;
1174
1175
1176 #if 0
1177 #endif
1178     BIO_printf(bio_out, "\n\n");
1179
1180     r = 1;
1181 err:
1182     BN_CTX_free(ctx);
1183     BN_free(p);
1184     BN_free(a);
1185     BN_free(b);
1186     EC_GROUP_free(group);
1187     EC_GROUP_free(tmp);
1188     EC_POINT_free(P);
1189     EC_POINT_free(Q);
1190     EC_POINT_free(R);
1191     BN_free(x);
1192     BN_free(y);
1193     BN_free(z);
1194     BN_free(cof);
1195     BN_free(yplusone);
1196     return r;
1197 }
1198 # endif
1199
1200 static int internal_curve_test(int n)
1201 {
1202     EC_GROUP *group = NULL;
1203     int nid = curves[n].nid;
1204
1205     if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
1206         TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n",
1207                   OBJ_nid2sn(nid));
1208         return 0;
1209     }
1210     if (!TEST_true(EC_GROUP_check(group, NULL))) {
1211         TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid));
1212         EC_GROUP_free(group);
1213         return 0;
1214     }
1215     EC_GROUP_free(group);
1216     return 1;
1217 }
1218
1219 static int internal_curve_test_method(int n)
1220 {
1221     int r, nid = curves[n].nid;
1222     EC_GROUP *group;
1223
1224     /*
1225      * Skip for X25519 because low level operations such as EC_POINT_mul()
1226      * are not supported for this curve
1227      */
1228     if (nid == NID_X25519)
1229         return 1;
1230     if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
1231         TEST_info("Curve %s failed\n", OBJ_nid2sn(nid));
1232         return 0;
1233     }
1234     r = group_order_tests(group);
1235     EC_GROUP_free(group);
1236     return r;
1237 }
1238
1239 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1240 /*
1241  * nistp_test_params contains magic numbers for testing our optimized
1242  * implementations of several NIST curves with characteristic > 3.
1243  */
1244 struct nistp_test_params {
1245     const EC_METHOD *(*meth) ();
1246     int degree;
1247     /*
1248      * Qx, Qy and D are taken from
1249      * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1250      * Otherwise, values are standard curve parameters from FIPS 180-3
1251      */
1252     const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1253 };
1254
1255 static const struct nistp_test_params nistp_tests_params[] = {
1256     {
1257      /* P-224 */
1258      EC_GFp_nistp224_method,
1259      224,
1260      /* p */
1261      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1262      /* a */
1263      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1264      /* b */
1265      "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1266      /* Qx */
1267      "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1268      /* Qy */
1269      "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1270      /* Gx */
1271      "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1272      /* Gy */
1273      "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1274      /* order */
1275      "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1276      /* d */
1277      "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1278      },
1279     {
1280      /* P-256 */
1281      EC_GFp_nistp256_method,
1282      256,
1283      /* p */
1284      "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1285      /* a */
1286      "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1287      /* b */
1288      "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1289      /* Qx */
1290      "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1291      /* Qy */
1292      "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1293      /* Gx */
1294      "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1295      /* Gy */
1296      "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1297      /* order */
1298      "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1299      /* d */
1300      "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1301      },
1302     {
1303      /* P-521 */
1304      EC_GFp_nistp521_method,
1305      521,
1306      /* p */
1307                                                                   "1ff"
1308      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1309      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1310      /* a */
1311                                                                   "1ff"
1312      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1313      "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1314      /* b */
1315                                                                   "051"
1316      "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1"
1317      "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1318      /* Qx */
1319                                                                  "0098"
1320      "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e"
1321      "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1322      /* Qy */
1323                                                                  "0164"
1324      "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8"
1325      "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1326      /* Gx */
1327                                                                    "c6"
1328      "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba"
1329      "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1330      /* Gy */
1331                                                                   "118"
1332      "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c"
1333      "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1334      /* order */
1335                                                                   "1ff"
1336      "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa"
1337      "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1338      /* d */
1339                                                                  "0100"
1340      "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee"
1341      "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1342      },
1343 };
1344
1345 static int nistp_single_test(int idx)
1346 {
1347     const struct nistp_test_params *test = nistp_tests_params + idx;
1348     BN_CTX *ctx = NULL;
1349     BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
1350     BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL;
1351     EC_GROUP *NISTP = NULL;
1352     EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL;
1353     int r = 0;
1354
1355     BIO_printf(bio_out, "\nNIST curve P-%d (optimised implementation):\n",
1356             test->degree);
1357     if (!TEST_ptr(ctx = BN_CTX_new())
1358         || !TEST_ptr(p = BN_new())
1359         || !TEST_ptr(a = BN_new())
1360         || !TEST_ptr(b = BN_new())
1361         || !TEST_ptr(x = BN_new())
1362         || !TEST_ptr(y = BN_new())
1363         || !TEST_ptr(m = BN_new())
1364         || !TEST_ptr(n = BN_new())
1365         || !TEST_ptr(order = BN_new())
1366         || !TEST_ptr(yplusone = BN_new())
1367
1368         || !TEST_ptr(NISTP = EC_GROUP_new(test->meth()))
1369         || !TEST_true(BN_hex2bn(&p, test->p))
1370         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1371         || !TEST_true(BN_hex2bn(&a, test->a))
1372         || !TEST_true(BN_hex2bn(&b, test->b))
1373         || !TEST_true(EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1374         || !TEST_ptr(G = EC_POINT_new(NISTP))
1375         || !TEST_ptr(P = EC_POINT_new(NISTP))
1376         || !TEST_ptr(Q = EC_POINT_new(NISTP))
1377         || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP))
1378         || !TEST_true(BN_hex2bn(&x, test->Qx))
1379         || !TEST_true(BN_hex2bn(&y, test->Qy))
1380         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
1381     /*
1382      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
1383      * and therefore setting the coordinates should fail.
1384      */
1385         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x,
1386                                                            yplusone, ctx))
1387         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y,
1388                                                           ctx))
1389         || !TEST_true(BN_hex2bn(&x, test->Gx))
1390         || !TEST_true(BN_hex2bn(&y, test->Gy))
1391         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1392         || !TEST_true(BN_hex2bn(&order, test->order))
1393         || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1394         || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree))
1395         goto err;
1396
1397     BIO_printf(bio_out, "NIST test vectors ... ");
1398     if (!TEST_true(BN_hex2bn(&n, test->d)))
1399         goto err;
1400     /* fixed point multiplication */
1401     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1402     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1403         goto err;
1404     /* random point multiplication */
1405     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1406     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1407
1408         /* set generator to P = 2*G, where G is the standard generator */
1409         || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx))
1410         || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1411         /* set the scalar to m=n/2, where n is the NIST test scalar */
1412         || !TEST_true(BN_rshift(m, n, 1)))
1413         goto err;
1414
1415     /* test the non-standard generator */
1416     /* fixed point multiplication */
1417     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1418     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1419         goto err;
1420     /* random point multiplication */
1421     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1422     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1423
1424     /*
1425      * We have not performed precomputation so have_precompute mult should be
1426      * false
1427      */
1428         || !TEST_false(EC_GROUP_have_precompute_mult(NISTP))
1429
1430     /* now repeat all tests with precomputation */
1431         || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx))
1432         || !TEST_true(EC_GROUP_have_precompute_mult(NISTP)))
1433         goto err;
1434
1435     /* fixed point multiplication */
1436     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1437     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1438         goto err;
1439     /* random point multiplication */
1440     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1441     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1442
1443     /* reset generator */
1444         || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())))
1445         goto err;
1446     /* fixed point multiplication */
1447     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1448     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1449         goto err;
1450     /* random point multiplication */
1451     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1452     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1453         goto err;
1454
1455     r = group_order_tests(NISTP);
1456 err:
1457     EC_GROUP_free(NISTP);
1458     EC_POINT_free(G);
1459     EC_POINT_free(P);
1460     EC_POINT_free(Q);
1461     EC_POINT_free(Q_CHECK);
1462     BN_free(n);
1463     BN_free(m);
1464     BN_free(p);
1465     BN_free(a);
1466     BN_free(b);
1467     BN_free(x);
1468     BN_free(y);
1469     BN_free(order);
1470     BN_free(yplusone);
1471     BN_CTX_free(ctx);
1472     return r;
1473 }
1474 # endif
1475
1476 static int parameter_test(void)
1477 {
1478     EC_GROUP *group = NULL, *group2 = NULL;
1479     ECPARAMETERS *ecparameters = NULL;
1480     int r;
1481
1482     r = TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp112r1))
1483         && TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
1484         && TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
1485         && TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0);
1486
1487     EC_GROUP_free(group);
1488     EC_GROUP_free(group2);
1489     ECPARAMETERS_free(ecparameters);
1490     return r;
1491 }
1492
1493 static const char rnd_seed[] =
1494     "string to make the random number generator think it has entropy";
1495 #endif
1496
1497 int test_main(int argc, char *argv[])
1498 {
1499     int result = EXIT_SUCCESS;
1500 #ifndef OPENSSL_NO_EC
1501
1502     crv_len = EC_get_builtin_curves(NULL, 0);
1503     if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len))
1504         || !TEST_true(EC_get_builtin_curves(curves, crv_len)))
1505         return EXIT_FAILURE;
1506
1507     RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1508
1509     ADD_TEST(parameter_test);
1510     ADD_TEST(prime_field_tests);
1511 # ifndef OPENSSL_NO_EC2M
1512     ADD_TEST(char2_field_tests);
1513     ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
1514 # endif
1515 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1516     ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params));
1517 # endif
1518     ADD_ALL_TESTS(internal_curve_test, crv_len);
1519     ADD_ALL_TESTS(internal_curve_test_method, crv_len);
1520
1521     result = run_tests(argv[0]);
1522     OPENSSL_free(curves);
1523 #endif
1524     return result;
1525 }