test/ectest.c

   1 /*
   2  * Copyright 2001-2017 The OpenSSL Project Authors. All Rights Reserved.
   3  * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
   4  *
   5  * Licensed under the OpenSSL license (the "License").  You may not use
   6  * this file except in compliance with the License.  You can obtain a copy
   7  * in the file LICENSE in the source distribution or at
   8  * https://www.openssl.org/source/license.html
   9  */
  10
  11 #include "internal/nelem.h"
  12 #include "testutil.h"
  13
  14 #ifndef OPENSSL_NO_EC
  15 # include <openssl/ec.h>
  16 # ifndef OPENSSL_NO_ENGINE
  17 #  include <openssl/engine.h>
  18 # endif
  19 # include <openssl/err.h>
  20 # include <openssl/obj_mac.h>
  21 # include <openssl/objects.h>
  22 # include <openssl/rand.h>
  23 # include <openssl/bn.h>
  24 # include <openssl/opensslconf.h>
  25
  26 static size_t crv_len = 0;
  27 static EC_builtin_curve *curves = NULL;
  28
  29 /* test multiplication with group order, long and negative scalars */
  30 static int group_order_tests(EC_GROUP *group)
  31 {
  32     BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL;
  33     EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL;
  34     BN_CTX *ctx = NULL;
  35     int i = 0, r = 0;
  36
  37     if (!TEST_ptr(n1 = BN_new())
  38         || !TEST_ptr(n2 = BN_new())
  39         || !TEST_ptr(order = BN_new())
  40         || !TEST_ptr(ctx = BN_CTX_new())
  41         || !TEST_ptr(P = EC_POINT_new(group))
  42         || !TEST_ptr(Q = EC_POINT_new(group))
  43         || !TEST_ptr(R = EC_POINT_new(group))
  44         || !TEST_ptr(S = EC_POINT_new(group)))
  45         goto err;
  46
  47     if (!TEST_true(EC_GROUP_get_order(group, order, ctx))
  48         || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  49         || !TEST_true(EC_POINT_is_at_infinity(group, Q))
  50         || !TEST_true(EC_GROUP_precompute_mult(group, ctx))
  51         || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
  52         || !TEST_true(EC_POINT_is_at_infinity(group, Q)))
  53         goto err;
  54
  55     for (i = 1; i <= 2; i++) {
  56         const BIGNUM *scalars[6];
  57         const EC_POINT *points[6];
  58
  59         if (!TEST_true(BN_set_word(n1, i))
  60             /*
  61              * If i == 1, P will be the predefined generator for which
  62              * EC_GROUP_precompute_mult has set up precomputation.
  63              */
  64             || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
  65             || !TEST_true(BN_one(n1))
  66             /* n1 = 1 - order */
  67             || !TEST_true(BN_sub(n1, n1, order))
  68             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx))
  69             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
  70
  71             /* n2 = 1 + order */
  72             || !TEST_true(BN_add(n2, order, BN_value_one()))
  73             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
  74             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
  75
  76             /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
  77             || !TEST_true(BN_mul(n2, n1, n2, ctx))
  78             || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
  79             || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
  80             goto err;
  81
  82         /* n2 = order^2 - 1 */
  83         BN_set_negative(n2, 0);
  84         if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
  85             /* Add P to verify the result. */
  86             || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx))
  87             || !TEST_true(EC_POINT_is_at_infinity(group, Q))
  88
  89             /* Exercise EC_POINTs_mul, including corner cases. */
  90             || !TEST_false(EC_POINT_is_at_infinity(group, P)))
  91             goto err;
  92
  93         scalars[0] = scalars[1] = BN_value_one();
  94         points[0]  = points[1]  = P;
  95
  96         if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
  97             || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx))
  98             || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx)))
  99             goto err;
 100
 101         scalars[0] = n1;
 102         points[0] = Q;          /* => infinity */
 103         scalars[1] = n2;
 104         points[1] = P;          /* => -P */
 105         scalars[2] = n1;
 106         points[2] = Q;          /* => infinity */
 107         scalars[3] = n2;
 108         points[3] = Q;          /* => infinity */
 109         scalars[4] = n1;
 110         points[4] = P;          /* => P */
 111         scalars[5] = n2;
 112         points[5] = Q;          /* => infinity */
 113         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
 114             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 115             goto err;
 116     }
 117
 118     r = 1;
 119 err:
 120     if (r == 0 && i != 0)
 121         TEST_info(i == 1 ? "allowing precomputation" :
 122                            "without precomputation");
 123     EC_POINT_free(P);
 124     EC_POINT_free(Q);
 125     EC_POINT_free(R);
 126     EC_POINT_free(S);
 127     BN_free(n1);
 128     BN_free(n2);
 129     BN_free(order);
 130     BN_CTX_free(ctx);
 131     return r;
 132 }
 133
 134 static int prime_field_tests(void)
 135 {
 136     BN_CTX *ctx = NULL;
 137     BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL;
 138     EC_GROUP *group = NULL, *tmp = NULL;
 139     EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL,
 140              *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
 141     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
 142     BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL;
 143     const EC_POINT *points[4];
 144     const BIGNUM *scalars[4];
 145     unsigned char buf[100];
 146     size_t len, r = 0;
 147     int k;
 148
 149     if (!TEST_ptr(ctx = BN_CTX_new())
 150         || !TEST_ptr(p = BN_new())
 151         || !TEST_ptr(a = BN_new())
 152         || !TEST_ptr(b = BN_new())
 153         || !TEST_true(BN_hex2bn(&p, "17"))
 154         || !TEST_true(BN_hex2bn(&a, "1"))
 155         || !TEST_true(BN_hex2bn(&b, "1"))
 156         /*
 157          * applications should use EC_GROUP_new_curve_GFp so
 158          * that the library gets to choose the EC_METHOD
 159          */
 160         || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method()))
 161         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 162         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
 163         || !TEST_true(EC_GROUP_copy(tmp, group)))
 164         goto err;
 165     EC_GROUP_free(group);
 166     group = tmp;
 167     tmp = NULL;
 168
 169     if (!TEST_true(EC_GROUP_get_curve_GFp(group, p, a, b, ctx)))
 170         goto err;
 171
 172     TEST_info("Curve defined by Weierstrass equation");
 173     TEST_note("     y^2 = x^3 + a*x + b (mod p)");
 174     test_output_bignum("a", a);
 175     test_output_bignum("b", b);
 176     test_output_bignum("p", p);
 177
 178     buf[0] = 0;
 179     if (!TEST_ptr(P = EC_POINT_new(group))
 180         || !TEST_ptr(Q = EC_POINT_new(group))
 181         || !TEST_ptr(R = EC_POINT_new(group))
 182         || !TEST_true(EC_POINT_set_to_infinity(group, P))
 183         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 184         || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
 185         || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
 186         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 187         || !TEST_ptr(x = BN_new())
 188         || !TEST_ptr(y = BN_new())
 189         || !TEST_ptr(z = BN_new())
 190         || !TEST_ptr(yplusone = BN_new())
 191         || !TEST_true(BN_hex2bn(&x, "D"))
 192         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1,
 193                                                               ctx)))
 194         goto err;
 195
 196     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
 197         if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, Q, x, y,
 198                                                            ctx)))
 199             goto err;
 200         TEST_info("Point is not on curve");
 201         test_output_bignum("x", x);
 202         test_output_bignum("y", y);
 203         goto err;
 204     }
 205
 206     TEST_note("A cyclic subgroup:");
 207     k = 100;
 208     do {
 209         if (!TEST_int_ne(k--, 0))
 210             goto err;
 211
 212         if (EC_POINT_is_at_infinity(group, P)) {
 213             TEST_note("     point at infinity");
 214         } else {
 215             if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y,
 216                                                                ctx)))
 217                 goto err;
 218
 219             test_output_bignum("x", x);
 220             test_output_bignum("y", y);
 221         }
 222
 223         if (!TEST_true(EC_POINT_copy(R, P))
 224             || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
 225             goto err;
 226
 227     } while (!EC_POINT_is_at_infinity(group, P));
 228
 229     if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
 230         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 231         goto err;
 232
 233     len =
 234         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
 235                            sizeof(buf), ctx);
 236     if (!TEST_size_t_ne(len, 0)
 237         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 238         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 239         goto err;
 240     test_output_memory("Generator as octet string, compressed form:",
 241                        buf, len);
 242
 243     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
 244                              buf, sizeof(buf), ctx);
 245     if (!TEST_size_t_ne(len, 0)
 246         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 247         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 248         goto err;
 249     test_output_memory("Generator as octet string, uncompressed form:",
 250                        buf, len);
 251
 252     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID,
 253                              buf, sizeof(buf), ctx);
 254     if (!TEST_size_t_ne(len, 0)
 255         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
 256         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
 257         goto err;
 258     test_output_memory("Generator as octet string, hybrid form:",
 259                        buf, len);
 260
 261     if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z,
 262                                                             ctx)))
 263         goto err;
 264     TEST_info("A representation of the inverse of that generator in");
 265     TEST_note("Jacobian projective coordinates");
 266     test_output_bignum("x", x);
 267     test_output_bignum("y", y);
 268     test_output_bignum("z", z);
 269
 270     if (!TEST_true(EC_POINT_invert(group, P, ctx))
 271         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 272
 273     /*
 274      * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
 275      * 2000) -- not a NIST curve, but commonly used
 276      */
 277
 278         || !TEST_true(BN_hex2bn(&p,                         "FFFFFFFF"
 279                                     "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
 280         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 281         || !TEST_true(BN_hex2bn(&a,                         "FFFFFFFF"
 282                                     "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
 283         || !TEST_true(BN_hex2bn(&b,                         "1C97BEFC"
 284                                     "54BD7A8B65ACF89F81D4D4ADC565FA45"))
 285         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 286         || !TEST_true(BN_hex2bn(&x,                         "4A96B568"
 287                                     "8EF573284664698968C38BB913CBFC82"))
 288         || !TEST_true(BN_hex2bn(&y,                         "23a62855"
 289                                     "3168947d59dcc912042351377ac5fb32"))
 290         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 291     /*
 292      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 293      * and therefore setting the coordinates should fail.
 294      */
 295         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 296                                                            yplusone, ctx))
 297         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 298         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 299         || !TEST_true(BN_hex2bn(&z,                       "0100000000"
 300                                     "000000000001F4C8F927AED3CA752257"))
 301         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 302         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 303         goto err;
 304     TEST_info("SEC2 curve secp160r1 -- Generator");
 305     test_output_bignum("x", x);
 306     test_output_bignum("y", y);
 307     /* G_y value taken from the standard: */
 308     if (!TEST_true(BN_hex2bn(&z,                         "23a62855"
 309                                  "3168947d59dcc912042351377ac5fb32"))
 310         || !TEST_BN_eq(y, z)
 311         || !TEST_int_eq(EC_GROUP_get_degree(group), 160)
 312         || !group_order_tests(group)
 313         || !TEST_ptr(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))
 314         || !TEST_true(EC_GROUP_copy(P_160, group))
 315
 316     /* Curve P-192 (FIPS PUB 186-2, App. 6) */
 317
 318         || !TEST_true(BN_hex2bn(&p,                 "FFFFFFFFFFFFFFFF"
 319                                     "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
 320         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 321         || !TEST_true(BN_hex2bn(&a,                 "FFFFFFFFFFFFFFFF"
 322                                     "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
 323         || !TEST_true(BN_hex2bn(&b,                 "64210519E59C80E7"
 324                                     "0FA7E9AB72243049FEB8DEECC146B9B1"))
 325         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 326         || !TEST_true(BN_hex2bn(&x,                 "188DA80EB03090F6"
 327                                     "7CBF20EB43A18800F4FF0AFD82FF1012"))
 328         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 329                                                               ctx))
 330         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 331         || !TEST_true(BN_hex2bn(&z,                 "FFFFFFFFFFFFFFFF"
 332                                     "FFFFFFFF99DEF836146BC9B1B4D22831"))
 333         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 334         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 335         goto err;
 336
 337     TEST_info("NIST curve P-192 -- Generator");
 338     test_output_bignum("x", x);
 339     test_output_bignum("y", y);
 340     /* G_y value taken from the standard: */
 341     if (!TEST_true(BN_hex2bn(&z,                 "07192B95FFC8DA78"
 342                                  "631011ED6B24CDD573F977A11E794811"))
 343         || !TEST_BN_eq(y, z)
 344         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 345     /*
 346      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 347      * and therefore setting the coordinates should fail.
 348      */
 349         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 350                                                            yplusone, ctx))
 351         || !TEST_int_eq(EC_GROUP_get_degree(group), 192)
 352         || !group_order_tests(group)
 353         || !TEST_ptr(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))
 354         || !TEST_true(EC_GROUP_copy(P_192, group))
 355
 356     /* Curve P-224 (FIPS PUB 186-2, App. 6) */
 357
 358         || !TEST_true(BN_hex2bn(&p,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 359                                     "FFFFFFFF000000000000000000000001"))
 360         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 361         || !TEST_true(BN_hex2bn(&a,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 362                                     "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
 363         || !TEST_true(BN_hex2bn(&b,         "B4050A850C04B3ABF5413256"
 364                                     "5044B0B7D7BFD8BA270B39432355FFB4"))
 365         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 366         || !TEST_true(BN_hex2bn(&x,         "B70E0CBD6BB4BF7F321390B9"
 367                                     "4A03C1D356C21122343280D6115C1D21"))
 368         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
 369                                                               ctx))
 370         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 371         || !TEST_true(BN_hex2bn(&z,         "FFFFFFFFFFFFFFFFFFFFFFFF"
 372                                     "FFFF16A2E0B8F03E13DD29455C5C2A3D"))
 373         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 374         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 375         goto err;
 376
 377     TEST_info("NIST curve P-224 -- Generator");
 378     test_output_bignum("x", x);
 379     test_output_bignum("y", y);
 380     /* G_y value taken from the standard: */
 381     if (!TEST_true(BN_hex2bn(&z,         "BD376388B5F723FB4C22DFE6"
 382                                  "CD4375A05A07476444D5819985007E34"))
 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), 224)
 392         || !group_order_tests(group)
 393         || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))
 394         || !TEST_true(EC_GROUP_copy(P_224, group))
 395
 396     /* Curve P-256 (FIPS PUB 186-2, App. 6) */
 397
 398         || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000"
 399                                     "00000000FFFFFFFFFFFFFFFFFFFFFFFF"))
 400         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 401         || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000"
 402                                     "00000000FFFFFFFFFFFFFFFFFFFFFFFC"))
 403         || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC"
 404                                     "651D06B0CC53B0F63BCE3C3E27D2604B"))
 405         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 406
 407         || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2"
 408                                     "77037D812DEB33A0F4A13945D898C296"))
 409         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 410                                                               ctx))
 411         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 412         || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF"
 413                                     "BCE6FAADA7179E84F3B9CAC2FC632551"))
 414         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 415         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 416         goto err;
 417
 418     TEST_info("NIST curve P-256 -- Generator");
 419     test_output_bignum("x", x);
 420     test_output_bignum("y", y);
 421     /* G_y value taken from the standard: */
 422     if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16"
 423                                  "2BCE33576B315ECECBB6406837BF51F5"))
 424         || !TEST_BN_eq(y, z)
 425         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 426     /*
 427      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 428      * and therefore setting the coordinates should fail.
 429      */
 430         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 431                                                            yplusone, ctx))
 432         || !TEST_int_eq(EC_GROUP_get_degree(group), 256)
 433         || !group_order_tests(group)
 434         || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))
 435         || !TEST_true(EC_GROUP_copy(P_256, group))
 436
 437     /* Curve P-384 (FIPS PUB 186-2, App. 6) */
 438
 439         || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 440                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
 441                                     "FFFFFFFF0000000000000000FFFFFFFF"))
 442         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 443         || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 444                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
 445                                     "FFFFFFFF0000000000000000FFFFFFFC"))
 446         || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19"
 447                                     "181D9C6EFE8141120314088F5013875A"
 448                                     "C656398D8A2ED19D2A85C8EDD3EC2AEF"))
 449         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 450
 451         || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74"
 452                                     "6E1D3B628BA79B9859F741E082542A38"
 453                                     "5502F25DBF55296C3A545E3872760AB7"))
 454         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
 455                                                               ctx))
 456         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 457         || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 458                                     "FFFFFFFFFFFFFFFFC7634D81F4372DDF"
 459                                     "581A0DB248B0A77AECEC196ACCC52973"))
 460         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 461         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 462         goto err;
 463
 464     TEST_info("NIST curve P-384 -- Generator");
 465     test_output_bignum("x", x);
 466     test_output_bignum("y", y);
 467     /* G_y value taken from the standard: */
 468     if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29"
 469                                  "F8F41DBD289A147CE9DA3113B5F0B8C0"
 470                                  "0A60B1CE1D7E819D7A431D7C90EA0E5F"))
 471         || !TEST_BN_eq(y, z)
 472         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 473     /*
 474      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 475      * and therefore setting the coordinates should fail.
 476      */
 477         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 478                                                            yplusone, ctx))
 479         || !TEST_int_eq(EC_GROUP_get_degree(group), 384)
 480         || !group_order_tests(group)
 481         || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))
 482         || !TEST_true(EC_GROUP_copy(P_384, group))
 483
 484     /* Curve P-521 (FIPS PUB 186-2, App. 6) */
 485         || !TEST_true(BN_hex2bn(&p,                              "1FF"
 486                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 487                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 488                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 489                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
 490         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
 491         || !TEST_true(BN_hex2bn(&a,                              "1FF"
 492                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 493                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 494                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 495                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
 496         || !TEST_true(BN_hex2bn(&b,                              "051"
 497                                     "953EB9618E1C9A1F929A21A0B68540EE"
 498                                     "A2DA725B99B315F3B8B489918EF109E1"
 499                                     "56193951EC7E937B1652C0BD3BB1BF07"
 500                                     "3573DF883D2C34F1EF451FD46B503F00"))
 501         || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
 502         || !TEST_true(BN_hex2bn(&x,                               "C6"
 503                                     "858E06B70404E9CD9E3ECB662395B442"
 504                                     "9C648139053FB521F828AF606B4D3DBA"
 505                                     "A14B5E77EFE75928FE1DC127A2FFA8DE"
 506                                     "3348B3C1856A429BF97E7E31C2E5BD66"))
 507         || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
 508                                                               ctx))
 509         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 510         || !TEST_true(BN_hex2bn(&z,                              "1FF"
 511                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 512                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA"
 513                                     "51868783BF2F966B7FCC0148F709A5D0"
 514                                     "3BB5C9B8899C47AEBB6FB71E91386409"))
 515         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
 516         || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
 517         goto err;
 518
 519     TEST_info("NIST curve P-521 -- Generator");
 520     test_output_bignum("x", x);
 521     test_output_bignum("y", y);
 522     /* G_y value taken from the standard: */
 523     if (!TEST_true(BN_hex2bn(&z,                              "118"
 524                                  "39296A789A3BC0045C8A5FB42C7D1BD9"
 525                                  "98F54449579B446817AFBD17273E662C"
 526                                  "97EE72995EF42640C550B9013FAD0761"
 527                                  "353C7086A272C24088BE94769FD16650"))
 528         || !TEST_BN_eq(y, z)
 529         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
 530     /*
 531      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 532      * and therefore setting the coordinates should fail.
 533      */
 534         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
 535                                                            yplusone, ctx))
 536         || !TEST_int_eq(EC_GROUP_get_degree(group), 521)
 537         || !group_order_tests(group)
 538         || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))
 539         || !TEST_true(EC_GROUP_copy(P_521, group))
 540
 541     /* more tests using the last curve */
 542
 543     /* Restore the point that got mangled in the (x, y + 1) test. */
 544         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
 545         || !TEST_true(EC_POINT_copy(Q, P))
 546         || !TEST_false(EC_POINT_is_at_infinity(group, Q))
 547         || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
 548         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 549         || !TEST_true(EC_POINT_invert(group, Q, ctx))       /* P = -2Q */
 550         || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
 551         || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
 552         || !TEST_true(EC_POINT_is_at_infinity(group, R))    /* R = P + 2Q */
 553         || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
 554         goto err;
 555     points[0] = Q;
 556     points[1] = Q;
 557     points[2] = Q;
 558     points[3] = Q;
 559
 560     if (!TEST_true(EC_GROUP_get_order(group, z, ctx))
 561         || !TEST_true(BN_add(y, z, BN_value_one()))
 562         || !TEST_BN_even(y)
 563         || !TEST_true(BN_rshift1(y, y)))
 564         goto err;
 565     scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 566     scalars[1] = y;
 567
 568     TEST_note("combined multiplication ...");
 569
 570     /* z is still the group order */
 571     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 572         || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 573         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 574         || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))
 575         || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
 576         || !TEST_true(BN_add(z, z, y)))
 577         goto err;
 578     BN_set_negative(z, 1);
 579     scalars[0] = y;
 580     scalars[1] = z;         /* z = -(order + y) */
 581
 582     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 583         || !TEST_true(EC_POINT_is_at_infinity(group, P))
 584         || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
 585         || !TEST_true(BN_add(z, x, y)))
 586         goto err;
 587     BN_set_negative(z, 1);
 588     scalars[0] = x;
 589     scalars[1] = y;
 590     scalars[2] = z;         /* z = -(x+y) */
 591
 592     if (!TEST_ptr(scalar3 = BN_new()))
 593         goto err;
 594     BN_zero(scalar3);
 595     scalars[3] = scalar3;
 596
 597     if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
 598         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 599         goto err;
 600
 601     TEST_note(" ok\n");
 602
 603
 604     r = 1;
 605 err:
 606     BN_CTX_free(ctx);
 607     BN_free(p);
 608     BN_free(a);
 609     BN_free(b);
 610     EC_GROUP_free(group);
 611     EC_GROUP_free(tmp);
 612     EC_POINT_free(P);
 613     EC_POINT_free(Q);
 614     EC_POINT_free(R);
 615     BN_free(x);
 616     BN_free(y);
 617     BN_free(z);
 618     BN_free(yplusone);
 619     BN_free(scalar3);
 620
 621     EC_GROUP_free(P_160);
 622     EC_GROUP_free(P_192);
 623     EC_GROUP_free(P_224);
 624     EC_GROUP_free(P_256);
 625     EC_GROUP_free(P_384);
 626     EC_GROUP_free(P_521);
 627     return r;
 628 }
 629
 630 # ifndef OPENSSL_NO_EC2M
 631
 632 static struct c2_curve_test {
 633     const char *name;
 634     const char *p;
 635     const char *a;
 636     const char *b;
 637     const char *x;
 638     const char *y;
 639     int ybit;
 640     const char *order;
 641     const char *cof;
 642     int degree;
 643 } char2_curve_tests[] = {
 644     /* Curve K-163 (FIPS PUB 186-2, App. 6) */
 645     {
 646         "NIST curve K-163",
 647         "0800000000000000000000000000000000000000C9",
 648         "1",
 649         "1",
 650         "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
 651         "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
 652         1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163
 653     },
 654     /* Curve B-163 (FIPS PUB 186-2, App. 6) */
 655     {
 656         "NIST curve B-163",
 657         "0800000000000000000000000000000000000000C9",
 658         "1",
 659         "020A601907B8C953CA1481EB10512F78744A3205FD",
 660         "03F0EBA16286A2D57EA0991168D4994637E8343E36",
 661         "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
 662         1, "040000000000000000000292FE77E70C12A4234C33", "2", 163
 663     },
 664     /* Curve K-233 (FIPS PUB 186-2, App. 6) */
 665     {
 666         "NIST curve K-233",
 667         "020000000000000000000000000000000000000004000000000000000001",
 668         "0",
 669         "1",
 670         "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
 671         "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
 672         0,
 673         "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
 674         "4", 233
 675     },
 676     /* Curve B-233 (FIPS PUB 186-2, App. 6) */
 677     {
 678         "NIST curve B-233",
 679         "020000000000000000000000000000000000000004000000000000000001",
 680         "000000000000000000000000000000000000000000000000000000000001",
 681         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
 682         "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
 683         "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
 684         1,
 685         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
 686         "2", 233
 687     },
 688     /* Curve K-283 (FIPS PUB 186-2, App. 6) */
 689     {
 690         "NIST curve K-283",
 691                                                                 "08000000"
 692         "00000000000000000000000000000000000000000000000000000000000010A1",
 693         "0",
 694         "1",
 695                                                                 "0503213F"
 696         "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
 697                                                                 "01CCDA38"
 698         "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
 699         0,
 700                                                                 "01FFFFFF"
 701         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
 702         "4", 283
 703     },
 704     /* Curve B-283 (FIPS PUB 186-2, App. 6) */
 705     {
 706         "NIST curve B-283",
 707                                                                 "08000000"
 708         "00000000000000000000000000000000000000000000000000000000000010A1",
 709                                                                 "00000000"
 710         "0000000000000000000000000000000000000000000000000000000000000001",
 711                                                                 "027B680A"
 712         "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
 713                                                                 "05F93925"
 714         "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
 715                                                                 "03676854"
 716         "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
 717         1,
 718                                                                 "03FFFFFF"
 719         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
 720         "2", 283
 721     },
 722     /* Curve K-409 (FIPS PUB 186-2, App. 6) */
 723     {
 724         "NIST curve K-409",
 725                                 "0200000000000000000000000000000000000000"
 726         "0000000000000000000000000000000000000000008000000000000000000001",
 727         "0",
 728         "1",
 729                                 "0060F05F658F49C1AD3AB1890F7184210EFD0987"
 730         "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
 731                                 "01E369050B7C4E42ACBA1DACBF04299C3460782F"
 732         "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
 733         1,
 734                                 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
 735         "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
 736         "4", 409
 737     },
 738     /* Curve B-409 (FIPS PUB 186-2, App. 6) */
 739     {
 740         "NIST curve B-409",
 741                                 "0200000000000000000000000000000000000000"
 742         "0000000000000000000000000000000000000000008000000000000000000001",
 743                                 "0000000000000000000000000000000000000000"
 744         "0000000000000000000000000000000000000000000000000000000000000001",
 745                                 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E"
 746         "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
 747                                 "015D4860D088DDB3496B0C6064756260441CDE4A"
 748         "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
 749                                 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5"
 750         "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
 751         1,
 752                                 "0100000000000000000000000000000000000000"
 753         "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
 754         "2", 409
 755     },
 756     /* Curve K-571 (FIPS PUB 186-2, App. 6) */
 757     {
 758         "NIST curve K-571",
 759                                                          "800000000000000"
 760         "0000000000000000000000000000000000000000000000000000000000000000"
 761         "0000000000000000000000000000000000000000000000000000000000000425",
 762         "0",
 763         "1",
 764                                                         "026EB7A859923FBC"
 765         "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6"
 766         "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
 767                                                         "0349DC807F4FBF37"
 768         "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7"
 769         "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
 770         0,
 771                                                         "0200000000000000"
 772         "00000000000000000000000000000000000000000000000000000000131850E1"
 773         "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
 774         "4", 571
 775     },
 776     /* Curve B-571 (FIPS PUB 186-2, App. 6) */
 777     {
 778         "NIST curve B-571",
 779                                                          "800000000000000"
 780         "0000000000000000000000000000000000000000000000000000000000000000"
 781         "0000000000000000000000000000000000000000000000000000000000000425",
 782                                                         "0000000000000000"
 783         "0000000000000000000000000000000000000000000000000000000000000000"
 784         "0000000000000000000000000000000000000000000000000000000000000001",
 785                                                         "02F40E7E2221F295"
 786         "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933"
 787         "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
 788                                                         "0303001D34B85629"
 789         "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293"
 790         "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
 791                                                         "037BF27342DA639B"
 792         "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57"
 793         "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
 794         1,
 795                                                         "03FFFFFFFFFFFFFF"
 796         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18"
 797         "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
 798         "2", 571
 799     }
 800 };
 801
 802 static int char2_curve_test(int n)
 803 {
 804     int r = 0;
 805     BN_CTX *ctx = NULL;
 806     BIGNUM *p = NULL, *a = NULL, *b = NULL;
 807     BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
 808     EC_GROUP *group = NULL, *variable = NULL;
 809     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
 810     const EC_POINT *points[3];
 811     const BIGNUM *scalars[3];
 812     struct c2_curve_test *const test = char2_curve_tests + n;
 813
 814     if (!TEST_ptr(ctx = BN_CTX_new())
 815         || !TEST_ptr(p = BN_new())
 816         || !TEST_ptr(a = BN_new())
 817         || !TEST_ptr(b = BN_new())
 818         || !TEST_ptr(x = BN_new())
 819         || !TEST_ptr(y = BN_new())
 820         || !TEST_ptr(z = BN_new())
 821         || !TEST_ptr(yplusone = BN_new())
 822         || !TEST_true(BN_hex2bn(&p, test->p))
 823         || !TEST_true(BN_hex2bn(&a, test->a))
 824         || !TEST_true(BN_hex2bn(&b, test->b))
 825         || !TEST_true(group = EC_GROUP_new(EC_GF2m_simple_method()))
 826         || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
 827         || !TEST_ptr(P = EC_POINT_new(group))
 828         || !TEST_ptr(Q = EC_POINT_new(group))
 829         || !TEST_ptr(R = EC_POINT_new(group))
 830         || !TEST_true(BN_hex2bn(&x, test->x))
 831         || !TEST_true(BN_hex2bn(&y, test->y))
 832         || !TEST_true(BN_add(yplusone, y, BN_value_one())))
 833         goto err;
 834
 835 /* Change test based on whether binary point compression is enabled or not. */
 836 # ifdef OPENSSL_EC_BIN_PT_COMP
 837     /*
 838      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 839      * and therefore setting the coordinates should fail.
 840      */
 841     if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
 842                                                          ctx))
 843         || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, P, x,
 844                                                                test->y_bit,
 845                                                                ctx))
 846         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 847         || !TEST_true(BN_hex2bn(&z, test->order))
 848         || !TEST_true(BN_hex2bn(&cof, test->cof))
 849         || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))
 850         || !TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
 851                                                            ctx)))
 852         goto err;
 853     TEST_info("%s -- Generator", test->name);
 854     test_output_bignum("x", x);
 855     test_output_bignum("y", y);
 856     /* G_y value taken from the standard: */
 857     if (!TEST_true(BN_hex2bn(&z, test->y))
 858         || !TEST_BN_eq(y, z))
 859         goto err;
 860 # else
 861     /*
 862      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
 863      * and therefore setting the coordinates should fail.
 864      */
 865     if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
 866                     ctx))
 867         || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
 868         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 869         || !TEST_true(BN_hex2bn(&z, test->order))
 870         || !TEST_true(BN_hex2bn(&cof, test->cof))
 871         || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)))
 872         goto err;
 873     TEST_info("%s -- Generator:", test->name);
 874     test_output_bignum("x", x);
 875     test_output_bignum("y", y);
 876 # endif
 877
 878     if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree)
 879         || !group_order_tests(group)
 880         || !TEST_ptr(variable = EC_GROUP_new(EC_GROUP_method_of(group)))
 881         || !TEST_true(EC_GROUP_copy(variable, group)))
 882         goto err;
 883
 884     /* more tests using the last curve */
 885     if (n == OSSL_NELEM(char2_curve_tests) - 1) {
 886         if (!TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y,
 887                                                                 ctx))
 888             || !TEST_true(EC_POINT_copy(Q, P))
 889             || !TEST_false(EC_POINT_is_at_infinity(group, Q))
 890             || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
 891             || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
 892             || !TEST_true(EC_POINT_invert(group, Q, ctx))       /* P = -2Q */
 893             || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
 894             || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
 895             || !TEST_true(EC_POINT_is_at_infinity(group, R))   /* R = P + 2Q */
 896             || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
 897             goto err;
 898
 899         points[0] = Q;
 900         points[1] = Q;
 901         points[2] = Q;
 902
 903         if (!TEST_true(BN_add(y, z, BN_value_one()))
 904             || !TEST_BN_even(y)
 905             || !TEST_true(BN_rshift1(y, y)))
 906             goto err;
 907         scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
 908         scalars[1] = y;
 909
 910         TEST_note("combined multiplication ...");
 911
 912         /* z is still the group order */
 913         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 914             || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
 915             || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
 916             || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)))
 917             goto err;
 918
 919         if (!TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
 920             || !TEST_true(BN_add(z, z, y)))
 921             goto err;
 922         BN_set_negative(z, 1);
 923         scalars[0] = y;
 924         scalars[1] = z;         /* z = -(order + y) */
 925
 926         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
 927             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 928             goto err;
 929
 930         if (!TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
 931             || !TEST_true(BN_add(z, x, y)))
 932             goto err;
 933         BN_set_negative(z, 1);
 934         scalars[0] = x;
 935         scalars[1] = y;
 936         scalars[2] = z;         /* z = -(x+y) */
 937
 938         if (!TEST_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
 939             || !TEST_true(EC_POINT_is_at_infinity(group, P)))
 940             goto err;;
 941     }
 942
 943     r = 1;
 944 err:
 945     BN_CTX_free(ctx);
 946     BN_free(p);
 947     BN_free(a);
 948     BN_free(b);
 949     BN_free(x);
 950     BN_free(y);
 951     BN_free(z);
 952     BN_free(yplusone);
 953     BN_free(cof);
 954     EC_POINT_free(P);
 955     EC_POINT_free(Q);
 956     EC_POINT_free(R);
 957     EC_GROUP_free(group);
 958     EC_GROUP_free(variable);
 959     return r;
 960 }
 961
 962 static int char2_field_tests(void)
 963 {
 964     BN_CTX *ctx = NULL;
 965     BIGNUM *p = NULL, *a = NULL, *b = NULL;
 966     EC_GROUP *group = NULL, *tmp = NULL;
 967     EC_POINT *P = NULL, *Q = NULL, *R = NULL;
 968     BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
 969     unsigned char buf[100];
 970     size_t len;
 971     int k, r = 0;
 972
 973     if (!TEST_ptr(ctx = BN_CTX_new())
 974         || !TEST_ptr(p = BN_new())
 975         || !TEST_ptr(a = BN_new())
 976         || !TEST_ptr(b = BN_new())
 977         || !TEST_true(BN_hex2bn(&p, "13"))
 978         || !TEST_true(BN_hex2bn(&a, "3"))
 979         || !TEST_true(BN_hex2bn(&b, "1")))
 980         goto err;
 981
 982     group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
 983                                                     * EC_GROUP_new_curve_GF2m
 984                                                     * so that the library gets
 985                                                     * to choose the EC_METHOD */
 986     if (!TEST_ptr(group)
 987         || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
 988         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
 989         || !TEST_true(EC_GROUP_copy(tmp, group)))
 990         goto err;
 991     EC_GROUP_free(group);
 992     group = tmp;
 993     tmp = NULL;
 994
 995     if (!TEST_true(EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)))
 996         goto err;
 997
 998     TEST_info("Curve defined by Weierstrass equation");
 999     TEST_note("     y^2 + x*y = x^3 + a*x^2 + b (mod p)");
1000     test_output_bignum("a", a);
1001     test_output_bignum("b", b);
1002     test_output_bignum("p", p);
1003
1004      if (!TEST_ptr(P = EC_POINT_new(group))
1005         || !TEST_ptr(Q = EC_POINT_new(group))
1006         || !TEST_ptr(R = EC_POINT_new(group))
1007         || !TEST_true(EC_POINT_set_to_infinity(group, P))
1008         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
1009         goto err;
1010
1011     buf[0] = 0;
1012     if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
1013         || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
1014         || !TEST_true(EC_POINT_is_at_infinity(group, P))
1015         || !TEST_ptr(x = BN_new())
1016         || !TEST_ptr(y = BN_new())
1017         || !TEST_ptr(z = BN_new())
1018         || !TEST_ptr(cof = BN_new())
1019         || !TEST_ptr(yplusone = BN_new())
1020         || !TEST_true(BN_hex2bn(&x, "6"))
1021 /* Change test based on whether binary point compression is enabled or not. */
1022 #  ifdef OPENSSL_EC_BIN_PT_COMP
1023         || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1,
1024                                                                ctx))
1025 #  else
1026         || !TEST_true(BN_hex2bn(&y, "8"))
1027         || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1028 #  endif
1029        )
1030         goto err;
1031     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
1032 /* Change test based on whether binary point compression is enabled or not. */
1033 #  ifdef OPENSSL_EC_BIN_PT_COMP
1034         if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y,
1035                                                             ctx)))
1036             goto err;
1037 #  endif
1038         TEST_info("Point is not on curve");
1039         test_output_bignum("x", x);
1040         test_output_bignum("y", y);
1041         goto err;
1042     }
1043
1044     TEST_note("A cyclic subgroup:");
1045     k = 100;
1046     do {
1047         if (!TEST_int_ne(k--, 0))
1048             goto err;
1049
1050         if (EC_POINT_is_at_infinity(group, P))
1051             TEST_note("     point at infinity");
1052         else {
1053             if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
1054                                                                 ctx)))
1055                 goto err;
1056
1057             test_output_bignum("x", x);
1058             test_output_bignum("y", y);
1059         }
1060
1061         if (!TEST_true(EC_POINT_copy(R, P))
1062             || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
1063             goto err;
1064     }
1065     while (!EC_POINT_is_at_infinity(group, P));
1066
1067     if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
1068         || !TEST_true(EC_POINT_is_at_infinity(group, P)))
1069         goto err;
1070
1071 /* Change test based on whether binary point compression is enabled or not. */
1072 #  ifdef OPENSSL_EC_BIN_PT_COMP
1073     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED,
1074                              buf, sizeof(buf), ctx);
1075     if (!TEST_size_t_ne(len, 0)
1076         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1077         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1078         goto err;
1079     test_output_memory("Generator as octet string, compressed form:",
1080                        buf, len);
1081 #  endif
1082
1083     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
1084                              buf, sizeof(buf), ctx);
1085     if (!TEST_size_t_ne(len, 0)
1086         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1087         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1088         goto err;
1089     test_output_memory("Generator as octet string, uncompressed form:",
1090                        buf, len);
1091
1092 /* Change test based on whether binary point compression is enabled or not. */
1093 #  ifdef OPENSSL_EC_BIN_PT_COMP
1094     len =
1095         EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf),
1096                            ctx);
1097     if (!TEST_size_t_ne(len, 0)
1098         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
1099         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
1100         goto err;
1101     test_output_memory("Generator as octet string, hybrid form:",
1102                        buf, len);
1103 #  endif
1104
1105     if (!TEST_true(EC_POINT_invert(group, P, ctx))
1106         || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)))
1107         goto err;
1108
1109     TEST_note("\n");
1110
1111     r = 1;
1112 err:
1113     BN_CTX_free(ctx);
1114     BN_free(p);
1115     BN_free(a);
1116     BN_free(b);
1117     EC_GROUP_free(group);
1118     EC_GROUP_free(tmp);
1119     EC_POINT_free(P);
1120     EC_POINT_free(Q);
1121     EC_POINT_free(R);
1122     BN_free(x);
1123     BN_free(y);
1124     BN_free(z);
1125     BN_free(cof);
1126     BN_free(yplusone);
1127     return r;
1128 }
1129 # endif
1130
1131 static int internal_curve_test(int n)
1132 {
1133     EC_GROUP *group = NULL;
1134     int nid = curves[n].nid;
1135
1136     if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
1137         TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n",
1138                   OBJ_nid2sn(nid));
1139         return 0;
1140     }
1141     if (!TEST_true(EC_GROUP_check(group, NULL))) {
1142         TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid));
1143         EC_GROUP_free(group);
1144         return 0;
1145     }
1146     EC_GROUP_free(group);
1147     return 1;
1148 }
1149
1150 static int internal_curve_test_method(int n)
1151 {
1152     int r, nid = curves[n].nid;
1153     EC_GROUP *group;
1154
1155     /*
1156      * Skip for X25519 because low level operations such as EC_POINT_mul()
1157      * are not supported for this curve
1158      */
1159     if (nid == NID_X25519)
1160         return 1;
1161     if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
1162         TEST_info("Curve %s failed\n", OBJ_nid2sn(nid));
1163         return 0;
1164     }
1165     r = group_order_tests(group);
1166     EC_GROUP_free(group);
1167     return r;
1168 }
1169
1170 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1171 /*
1172  * nistp_test_params contains magic numbers for testing our optimized
1173  * implementations of several NIST curves with characteristic > 3.
1174  */
1175 struct nistp_test_params {
1176     const EC_METHOD *(*meth) ();
1177     int degree;
1178     /*
1179      * Qx, Qy and D are taken from
1180      * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1181      * Otherwise, values are standard curve parameters from FIPS 180-3
1182      */
1183     const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1184 };
1185
1186 static const struct nistp_test_params nistp_tests_params[] = {
1187     {
1188      /* P-224 */
1189      EC_GFp_nistp224_method,
1190      224,
1191      /* p */
1192      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1193      /* a */
1194      "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1195      /* b */
1196      "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1197      /* Qx */
1198      "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1199      /* Qy */
1200      "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1201      /* Gx */
1202      "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1203      /* Gy */
1204      "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1205      /* order */
1206      "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1207      /* d */
1208      "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1209      },
1210     {
1211      /* P-256 */
1212      EC_GFp_nistp256_method,
1213      256,
1214      /* p */
1215      "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1216      /* a */
1217      "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1218      /* b */
1219      "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1220      /* Qx */
1221      "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1222      /* Qy */
1223      "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1224      /* Gx */
1225      "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1226      /* Gy */
1227      "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1228      /* order */
1229      "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1230      /* d */
1231      "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1232      },
1233     {
1234      /* P-521 */
1235      EC_GFp_nistp521_method,
1236      521,
1237      /* p */
1238                                                                   "1ff"
1239      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1240      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1241      /* a */
1242                                                                   "1ff"
1243      "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1244      "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1245      /* b */
1246                                                                   "051"
1247      "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1"
1248      "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1249      /* Qx */
1250                                                                  "0098"
1251      "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e"
1252      "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1253      /* Qy */
1254                                                                  "0164"
1255      "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8"
1256      "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1257      /* Gx */
1258                                                                    "c6"
1259      "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba"
1260      "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1261      /* Gy */
1262                                                                   "118"
1263      "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c"
1264      "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1265      /* order */
1266                                                                   "1ff"
1267      "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa"
1268      "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1269      /* d */
1270                                                                  "0100"
1271      "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee"
1272      "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1273      },
1274 };
1275
1276 static int nistp_single_test(int idx)
1277 {
1278     const struct nistp_test_params *test = nistp_tests_params + idx;
1279     BN_CTX *ctx = NULL;
1280     BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
1281     BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL;
1282     EC_GROUP *NISTP = NULL;
1283     EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL;
1284     int r = 0;
1285
1286     TEST_note("NIST curve P-%d (optimised implementation):",
1287               test->degree);
1288     if (!TEST_ptr(ctx = BN_CTX_new())
1289         || !TEST_ptr(p = BN_new())
1290         || !TEST_ptr(a = BN_new())
1291         || !TEST_ptr(b = BN_new())
1292         || !TEST_ptr(x = BN_new())
1293         || !TEST_ptr(y = BN_new())
1294         || !TEST_ptr(m = BN_new())
1295         || !TEST_ptr(n = BN_new())
1296         || !TEST_ptr(order = BN_new())
1297         || !TEST_ptr(yplusone = BN_new())
1298
1299         || !TEST_ptr(NISTP = EC_GROUP_new(test->meth()))
1300         || !TEST_true(BN_hex2bn(&p, test->p))
1301         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1302         || !TEST_true(BN_hex2bn(&a, test->a))
1303         || !TEST_true(BN_hex2bn(&b, test->b))
1304         || !TEST_true(EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1305         || !TEST_ptr(G = EC_POINT_new(NISTP))
1306         || !TEST_ptr(P = EC_POINT_new(NISTP))
1307         || !TEST_ptr(Q = EC_POINT_new(NISTP))
1308         || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP))
1309         || !TEST_true(BN_hex2bn(&x, test->Qx))
1310         || !TEST_true(BN_hex2bn(&y, test->Qy))
1311         || !TEST_true(BN_add(yplusone, y, BN_value_one()))
1312     /*
1313      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
1314      * and therefore setting the coordinates should fail.
1315      */
1316         || !TEST_false(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x,
1317                                                            yplusone, ctx))
1318         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y,
1319                                                           ctx))
1320         || !TEST_true(BN_hex2bn(&x, test->Gx))
1321         || !TEST_true(BN_hex2bn(&y, test->Gy))
1322         || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1323         || !TEST_true(BN_hex2bn(&order, test->order))
1324         || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1325         || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree))
1326         goto err;
1327
1328     TEST_note("NIST test vectors ... ");
1329     if (!TEST_true(BN_hex2bn(&n, test->d)))
1330         goto err;
1331     /* fixed point multiplication */
1332     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1333     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1334         goto err;
1335     /* random point multiplication */
1336     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1337     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1338
1339         /* set generator to P = 2*G, where G is the standard generator */
1340         || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx))
1341         || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1342         /* set the scalar to m=n/2, where n is the NIST test scalar */
1343         || !TEST_true(BN_rshift(m, n, 1)))
1344         goto err;
1345
1346     /* test the non-standard generator */
1347     /* fixed point multiplication */
1348     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1349     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1350         goto err;
1351     /* random point multiplication */
1352     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1353     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1354
1355     /*
1356      * We have not performed precomputation so have_precompute mult should be
1357      * false
1358      */
1359         || !TEST_false(EC_GROUP_have_precompute_mult(NISTP))
1360
1361     /* now repeat all tests with precomputation */
1362         || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx))
1363         || !TEST_true(EC_GROUP_have_precompute_mult(NISTP)))
1364         goto err;
1365
1366     /* fixed point multiplication */
1367     EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1368     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1369         goto err;
1370     /* random point multiplication */
1371     EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1372     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1373
1374     /* reset generator */
1375         || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())))
1376         goto err;
1377     /* fixed point multiplication */
1378     EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1379     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1380         goto err;
1381     /* random point multiplication */
1382     EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1383     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1384         goto err;
1385
1386     r = group_order_tests(NISTP);
1387 err:
1388     EC_GROUP_free(NISTP);
1389     EC_POINT_free(G);
1390     EC_POINT_free(P);
1391     EC_POINT_free(Q);
1392     EC_POINT_free(Q_CHECK);
1393     BN_free(n);
1394     BN_free(m);
1395     BN_free(p);
1396     BN_free(a);
1397     BN_free(b);
1398     BN_free(x);
1399     BN_free(y);
1400     BN_free(order);
1401     BN_free(yplusone);
1402     BN_CTX_free(ctx);
1403     return r;
1404 }
1405 # endif
1406
1407 static int parameter_test(void)
1408 {
1409     EC_GROUP *group = NULL, *group2 = NULL;
1410     ECPARAMETERS *ecparameters = NULL;
1411     int r;
1412
1413     r = TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp112r1))
1414         && TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
1415         && TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
1416         && TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0);
1417
1418     EC_GROUP_free(group);
1419     EC_GROUP_free(group2);
1420     ECPARAMETERS_free(ecparameters);
1421     return r;
1422 }
1423 #endif
1424
1425 int setup_tests(void)
1426 {
1427 #ifndef OPENSSL_NO_EC
1428     crv_len = EC_get_builtin_curves(NULL, 0);
1429     if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len))
1430         || !TEST_true(EC_get_builtin_curves(curves, crv_len)))
1431         return 0;
1432
1433     ADD_TEST(parameter_test);
1434     ADD_TEST(prime_field_tests);
1435 # ifndef OPENSSL_NO_EC2M
1436     ADD_TEST(char2_field_tests);
1437     ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
1438 # endif
1439 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1440     ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params));
1441 # endif
1442     ADD_ALL_TESTS(internal_curve_test, crv_len);
1443     ADD_ALL_TESTS(internal_curve_test_method, crv_len);
1444 #endif
1445     return 1;
1446 }
1447
1448 void cleanup_tests(void)
1449 {
1450 #ifndef OPENSSL_NO_EC
1451     OPENSSL_free(curves);
1452 #endif
1453 }