openssl3/contribs10/ectest.c

/*
 * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
 *
 * Licensed under the Apache License 2.0 (the "License").  You may not use
 * this file except in compliance with the License.  You can obtain a copy
 * in the file LICENSE in the source distribution or at
 * https://www.openssl.org/source/license.html
 */

/*
 * EC_KEY low level APIs are deprecated for public use, but still ok for
 * internal use.
 */
#include "internal/deprecated.h"

#include <string.h>
#include "internal/nelem.h"
#include "testutil.h"

#include <openssl/ec.h>
#ifndef OPENSSL_NO_ENGINE
# include <openssl/engine.h>
#endif
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/objects.h>
#include <openssl/rand.h>
#include <openssl/bn.h>
#include <openssl/opensslconf.h>
#include <openssl/core_names.h>
#include <openssl/param_build.h>
#include <openssl/evp.h>

static size_t crv_len = 0;
static EC_builtin_curve *curves = NULL;

/* test multiplication with group order, long and negative scalars */
static int group_order_tests(EC_GROUP *group)
{
    BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL;
    EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL;
    const EC_POINT *G = NULL;
    BN_CTX *ctx = NULL;
    int i = 0, r = 0;

    if (!TEST_ptr(n1 = BN_new())
        || !TEST_ptr(n2 = BN_new())
        || !TEST_ptr(order = BN_new())
        || !TEST_ptr(ctx = BN_CTX_new())
        || !TEST_ptr(G = EC_GROUP_get0_generator(group))
        || !TEST_ptr(P = EC_POINT_new(group))
        || !TEST_ptr(Q = EC_POINT_new(group))
        || !TEST_ptr(R = EC_POINT_new(group))
        || !TEST_ptr(S = EC_POINT_new(group)))
        goto err;

    if (!TEST_true(EC_GROUP_get_order(group, order, ctx))
        || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
        || !TEST_true(EC_POINT_is_at_infinity(group, Q))
#ifndef OPENSSL_NO_DEPRECATED_3_0
        || !TEST_true(EC_GROUP_precompute_mult(group, ctx))
#endif
        || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
        || !TEST_true(EC_POINT_is_at_infinity(group, Q))
        || !TEST_true(EC_POINT_copy(P, G))
        || !TEST_true(BN_one(n1))
        || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx))
        || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
        || !TEST_true(BN_sub(n1, order, n1))
        || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx))
        || !TEST_true(EC_POINT_invert(group, Q, ctx))
        || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
        goto err;

    for (i = 1; i <= 2; i++) {
#ifndef OPENSSL_NO_DEPRECATED_3_0
        const BIGNUM *scalars[6];
        const EC_POINT *points[6];
#endif

        if (!TEST_true(BN_set_word(n1, i))
            /*
             * If i == 1, P will be the predefined generator for which
             * EC_GROUP_precompute_mult has set up precomputation.
             */
            || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
            || (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx)))
            || !TEST_true(BN_one(n1))
            /* n1 = 1 - order */
            || !TEST_true(BN_sub(n1, n1, order))
            || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx))
            || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))

            /* n2 = 1 + order */
            || !TEST_true(BN_add(n2, order, BN_value_one()))
            || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
            || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))

            /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
            || !TEST_true(BN_mul(n2, n1, n2, ctx))
            || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
            || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
            goto err;

        /* n2 = order^2 - 1 */
        BN_set_negative(n2, 0);
        if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
            /* Add P to verify the result. */
            || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx))
            || !TEST_true(EC_POINT_is_at_infinity(group, Q))
            || !TEST_false(EC_POINT_is_at_infinity(group, P)))
            goto err;

#ifndef OPENSSL_NO_DEPRECATED_3_0
        /* Exercise EC_POINTs_mul, including corner cases. */
        scalars[0] = scalars[1] = BN_value_one();
        points[0]  = points[1]  = P;

        if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
            || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx))
            || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx)))
            goto err;

        scalars[0] = n1;
        points[0] = Q;          /* => infinity */
        scalars[1] = n2;
        points[1] = P;          /* => -P */
        scalars[2] = n1;
        points[2] = Q;          /* => infinity */
        scalars[3] = n2;
        points[3] = Q;          /* => infinity */
        scalars[4] = n1;
        points[4] = P;          /* => P */
        scalars[5] = n2;
        points[5] = Q;          /* => infinity */
        if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
            || !TEST_true(EC_POINT_is_at_infinity(group, P)))
            goto err;
#endif
    }

    r = 1;
err:
    if (r == 0 && i != 0)
        TEST_info(i == 1 ? "allowing precomputation" :
                           "without precomputation");
    EC_POINT_free(P);
    EC_POINT_free(Q);
    EC_POINT_free(R);
    EC_POINT_free(S);
    BN_free(n1);
    BN_free(n2);
    BN_free(order);
    BN_CTX_free(ctx);
    return r;
}

static int prime_field_tests(void)
{
    BN_CTX *ctx = NULL;
    BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL;
    EC_GROUP *group = NULL;
    EC_POINT *P = NULL, *Q = NULL, *R = NULL;
    BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL;
#ifndef OPENSSL_NO_DEPRECATED_3_0
    const EC_POINT *points[4];
    const BIGNUM *scalars[4];
#endif
    unsigned char buf[100];
    size_t len, r = 0;
    int k;

    if (!TEST_ptr(ctx = BN_CTX_new())
        || !TEST_ptr(p = BN_new())
        || !TEST_ptr(a = BN_new())
        || !TEST_ptr(b = BN_new())
        /*
         * applications should use EC_GROUP_new_curve_GFp so
         * that the library gets to choose the EC_METHOD
         */
        || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method())))
        goto err;

    buf[0] = 0;
    if (!TEST_ptr(P = EC_POINT_new(group))
        || !TEST_ptr(Q = EC_POINT_new(group))
        || !TEST_ptr(R = EC_POINT_new(group))
        || !TEST_ptr(x = BN_new())
        || !TEST_ptr(y = BN_new())
        || !TEST_ptr(z = BN_new())
        || !TEST_ptr(yplusone = BN_new()))
        goto err;

    /* Curve P-224 (FIPS PUB 186-2, App. 6) */

    if (!TEST_true(BN_hex2bn(&p,         "FFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFF000000000000000000000001"))
        || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL))
        || !TEST_true(BN_hex2bn(&a,         "FFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
        || !TEST_true(BN_hex2bn(&b,         "B4050A850C04B3ABF5413256"
                                    "5044B0B7D7BFD8BA270B39432355FFB4"))
        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
        || !TEST_true(BN_hex2bn(&x,         "B70E0CBD6BB4BF7F321390B9"
                                    "4A03C1D356C21122343280D6115C1D21"))
        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
        || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
        || !TEST_true(BN_hex2bn(&z,         "FFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFF16A2E0B8F03E13DD29455C5C2A3D"))
        || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
        goto err;

    TEST_info("NIST curve P-224 -- Generator");
    test_output_bignum("x", x);
    test_output_bignum("y", y);
    /* G_y value taken from the standard: */
    if (!TEST_true(BN_hex2bn(&z,         "BD376388B5F723FB4C22DFE6"
                                 "CD4375A05A07476444D5819985007E34"))
        || !TEST_BN_eq(y, z)
        || !TEST_true(BN_add(yplusone, y, BN_value_one()))
    /*
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
     * and therefore setting the coordinates should fail.
     */
        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
                                                       ctx))
        || !TEST_int_eq(EC_GROUP_get_degree(group), 224)
        || !group_order_tests(group)

    /* Curve P-256 (FIPS PUB 186-2, App. 6) */

        || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000"
                                    "00000000FFFFFFFFFFFFFFFFFFFFFFFF"))
        || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL))
        || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000"
                                    "00000000FFFFFFFFFFFFFFFFFFFFFFFC"))
        || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC"
                                    "651D06B0CC53B0F63BCE3C3E27D2604B"))
        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))

        || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2"
                                    "77037D812DEB33A0F4A13945D898C296"))
        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
        || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
        || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF"
                                    "BCE6FAADA7179E84F3B9CAC2FC632551"))
        || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
        goto err;

    TEST_info("NIST curve P-256 -- Generator");
    test_output_bignum("x", x);
    test_output_bignum("y", y);
    /* G_y value taken from the standard: */
    if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16"
                                 "2BCE33576B315ECECBB6406837BF51F5"))
        || !TEST_BN_eq(y, z)
        || !TEST_true(BN_add(yplusone, y, BN_value_one()))
    /*
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
     * and therefore setting the coordinates should fail.
     */
        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
                                                       ctx))
        || !TEST_int_eq(EC_GROUP_get_degree(group), 256)
        || !group_order_tests(group)

    /* Curve P-384 (FIPS PUB 186-2, App. 6) */

        || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
                                    "FFFFFFFF0000000000000000FFFFFFFF"))
        || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL))
        || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
                                    "FFFFFFFF0000000000000000FFFFFFFC"))
        || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19"
                                    "181D9C6EFE8141120314088F5013875A"
                                    "C656398D8A2ED19D2A85C8EDD3EC2AEF"))
        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))

        || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74"
                                    "6E1D3B628BA79B9859F741E082542A38"
                                    "5502F25DBF55296C3A545E3872760AB7"))
        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
        || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
        || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFC7634D81F4372DDF"
                                    "581A0DB248B0A77AECEC196ACCC52973"))
        || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
        goto err;

    TEST_info("NIST curve P-384 -- Generator");
    test_output_bignum("x", x);
    test_output_bignum("y", y);
    /* G_y value taken from the standard: */
    if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29"
                                 "F8F41DBD289A147CE9DA3113B5F0B8C0"
                                 "0A60B1CE1D7E819D7A431D7C90EA0E5F"))
        || !TEST_BN_eq(y, z)
        || !TEST_true(BN_add(yplusone, y, BN_value_one()))
    /*
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
     * and therefore setting the coordinates should fail.
     */
        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
                                                       ctx))
        || !TEST_int_eq(EC_GROUP_get_degree(group), 384)
        || !group_order_tests(group)

    /* Curve P-521 (FIPS PUB 186-2, App. 6) */
        || !TEST_true(BN_hex2bn(&p,                              "1FF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
        || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL))
        || !TEST_true(BN_hex2bn(&a,                              "1FF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
        || !TEST_true(BN_hex2bn(&b,                              "051"
                                    "953EB9618E1C9A1F929A21A0B68540EE"
                                    "A2DA725B99B315F3B8B489918EF109E1"
                                    "56193951EC7E937B1652C0BD3BB1BF07"
                                    "3573DF883D2C34F1EF451FD46B503F00"))
        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
        || !TEST_true(BN_hex2bn(&x,                               "C6"
                                    "858E06B70404E9CD9E3ECB662395B442"
                                    "9C648139053FB521F828AF606B4D3DBA"
                                    "A14B5E77EFE75928FE1DC127A2FFA8DE"
                                    "3348B3C1856A429BF97E7E31C2E5BD66"))
        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
        || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
        || !TEST_true(BN_hex2bn(&z,                              "1FF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                    "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA"
                                    "51868783BF2F966B7FCC0148F709A5D0"
                                    "3BB5C9B8899C47AEBB6FB71E91386409"))
        || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
        goto err;

    TEST_info("NIST curve P-521 -- Generator");
    test_output_bignum("x", x);
    test_output_bignum("y", y);
    /* G_y value taken from the standard: */
    if (!TEST_true(BN_hex2bn(&z,                              "118"
                                 "39296A789A3BC0045C8A5FB42C7D1BD9"
                                 "98F54449579B446817AFBD17273E662C"
                                 "97EE72995EF42640C550B9013FAD0761"
                                 "353C7086A272C24088BE94769FD16650"))
        || !TEST_BN_eq(y, z)
        || !TEST_true(BN_add(yplusone, y, BN_value_one()))
    /*
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
     * and therefore setting the coordinates should fail.
     */
        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
                                                       ctx))
        || !TEST_int_eq(EC_GROUP_get_degree(group), 521)
        || !group_order_tests(group)

    /* more tests using the last curve */

    /* Restore the point that got mangled in the (x, y + 1) test. */
        || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
        || !TEST_true(EC_POINT_copy(Q, P))
        || !TEST_false(EC_POINT_is_at_infinity(group, Q))
        || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
        || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
        || !TEST_true(EC_POINT_invert(group, Q, ctx))       /* P = -2Q */
        || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
        || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
        || !TEST_true(EC_POINT_is_at_infinity(group, R))    /* R = P + 2Q */
        || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
        goto err;

#ifndef OPENSSL_NO_DEPRECATED_3_0
    TEST_note("combined multiplication ...");
    points[0] = Q;
    points[1] = Q;
    points[2] = Q;
    points[3] = Q;

    if (!TEST_true(EC_GROUP_get_order(group, z, ctx))
        || !TEST_true(BN_add(y, z, BN_value_one()))
        || !TEST_BN_even(y)
        || !TEST_true(BN_rshift1(y, y)))
        goto err;

    scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
    scalars[1] = y;

    /* z is still the group order */
    if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
        || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
        || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
        || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))
        || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
        || !TEST_true(BN_add(z, z, y)))
        goto err;
    BN_set_negative(z, 1);
    scalars[0] = y;
    scalars[1] = z;         /* z = -(order + y) */

    if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
        || !TEST_true(EC_POINT_is_at_infinity(group, P))
        || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
        || !TEST_true(BN_add(z, x, y)))
        goto err;
    BN_set_negative(z, 1);
    scalars[0] = x;
    scalars[1] = y;
    scalars[2] = z;         /* z = -(x+y) */

    if (!TEST_ptr(scalar3 = BN_new()))
        goto err;
    BN_zero(scalar3);
    scalars[3] = scalar3;

    if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
        || !TEST_true(EC_POINT_is_at_infinity(group, P)))
        goto err;
#endif
    TEST_note(" ok\n");
    r = 1;
err:
    BN_CTX_free(ctx);
    BN_free(p);
    BN_free(a);
    BN_free(b);
    EC_GROUP_free(group);
    EC_POINT_free(P);
    EC_POINT_free(Q);
    EC_POINT_free(R);
    BN_free(x);
    BN_free(y);
    BN_free(z);
    BN_free(yplusone);
    BN_free(scalar3);
    return r;
}

static int internal_curve_test(int n)
{
    EC_GROUP *group = NULL;
    int nid = curves[n].nid;

    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
        TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n",
                  OBJ_nid2sn(nid));
        return 0;
    }
    if (!TEST_true(EC_GROUP_check(group, NULL))) {
        TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid));
        EC_GROUP_free(group);
        return 0;
    }
    EC_GROUP_free(group);
    return 1;
}

static int internal_curve_test_method(int n)
{
    int r, nid = curves[n].nid;
    EC_GROUP *group;

    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
        TEST_info("Curve %s failed\n", OBJ_nid2sn(nid));
        return 0;
    }
    r = group_order_tests(group);
    EC_GROUP_free(group);
    return r;
}

static int group_field_test(void)
{
    int r = 1;
    BIGNUM *secp521r1_field = NULL;
    BIGNUM *sect163r2_field = NULL;
    EC_GROUP *secp521r1_group = NULL;
    EC_GROUP *sect163r2_group = NULL;

    BN_hex2bn(&secp521r1_field,
                "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                "FFFF");


    BN_hex2bn(&sect163r2_field,
                "08000000000000000000000000000000"
                "00000000C9");

    secp521r1_group = EC_GROUP_new_by_curve_name(NID_secp521r1);
    if (BN_cmp(secp521r1_field, EC_GROUP_get0_field(secp521r1_group)))
      r = 0;

    # ifndef OPENSSL_NO_EC2M
    sect163r2_group = EC_GROUP_new_by_curve_name(NID_sect163r2);
    if (BN_cmp(sect163r2_field, EC_GROUP_get0_field(sect163r2_group)))
      r = 0;
    # endif

    EC_GROUP_free(secp521r1_group);
    EC_GROUP_free(sect163r2_group);
    BN_free(secp521r1_field);
    BN_free(sect163r2_field);
    return r;
}
/*
 * nistp_test_params contains magic numbers for testing
 * several NIST curves with characteristic > 3.
 */
struct nistp_test_params {
    const int nid;
    int degree;
    /*
     * Qx, Qy and D are taken from
     * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
     * Otherwise, values are standard curve parameters from FIPS 180-3
     */
    const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
};

static const struct nistp_test_params nistp_tests_params[] = {
    {
     /* P-224 */
     NID_secp224r1,
     224,
     /* p */
     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
     /* a */
     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
     /* b */
     "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
     /* Qx */
     "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
     /* Qy */
     "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
     /* Gx */
     "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
     /* Gy */
     "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
     /* order */
     "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
     /* d */
     "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
     },
    {
     /* P-256 */
     NID_X9_62_prime256v1,
     256,
     /* p */
     "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
     /* a */
     "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
     /* b */
     "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
     /* Qx */
     "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
     /* Qy */
     "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
     /* Gx */
     "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
     /* Gy */
     "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
     /* order */
     "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
     /* d */
     "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
     },
    {
     /* P-521 */
     NID_secp521r1,
     521,
     /* p */
                                                                  "1ff"
     "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
     "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
     /* a */
                                                                  "1ff"
     "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
     "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
     /* b */
                                                                  "051"
     "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1"
     "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
     /* Qx */
                                                                 "0098"
     "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e"
     "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
     /* Qy */
                                                                 "0164"
     "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8"
     "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
     /* Gx */
                                                                   "c6"
     "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba"
     "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
     /* Gy */
                                                                  "118"
     "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c"
     "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
     /* order */
                                                                  "1ff"
     "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa"
     "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
     /* d */
                                                                 "0100"
     "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee"
     "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
     },
};

static int nistp_single_test(int idx)
{
    const struct nistp_test_params *test = nistp_tests_params + idx;
    BN_CTX *ctx = NULL;
    BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
    BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL;
    EC_GROUP *NISTP = NULL;
    EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL;
    int r = 0;

    TEST_note("NIST curve P-%d (optimised implementation):",
              test->degree);
    if (!TEST_ptr(ctx = BN_CTX_new())
        || !TEST_ptr(p = BN_new())
        || !TEST_ptr(a = BN_new())
        || !TEST_ptr(b = BN_new())
        || !TEST_ptr(x = BN_new())
        || !TEST_ptr(y = BN_new())
        || !TEST_ptr(m = BN_new())
        || !TEST_ptr(n = BN_new())
        || !TEST_ptr(order = BN_new())
        || !TEST_ptr(yplusone = BN_new())

        || !TEST_ptr(NISTP = EC_GROUP_new_by_curve_name(test->nid))
        || !TEST_true(BN_hex2bn(&p, test->p))
        || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL))
        || !TEST_true(BN_hex2bn(&a, test->a))
        || !TEST_true(BN_hex2bn(&b, test->b))
        || !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx))
        || !TEST_ptr(G = EC_POINT_new(NISTP))
        || !TEST_ptr(P = EC_POINT_new(NISTP))
        || !TEST_ptr(Q = EC_POINT_new(NISTP))
        || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP))
        || !TEST_true(BN_hex2bn(&x, test->Qx))
        || !TEST_true(BN_hex2bn(&y, test->Qy))
        || !TEST_true(BN_add(yplusone, y, BN_value_one()))
    /*
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
     * and therefore setting the coordinates should fail.
     */
        || !TEST_false(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x,
                                                       yplusone, ctx))
        || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, y,
                                                      ctx))
        || !TEST_true(BN_hex2bn(&x, test->Gx))
        || !TEST_true(BN_hex2bn(&y, test->Gy))
        || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx))
        || !TEST_true(BN_hex2bn(&order, test->order))
        || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
        || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree))
        goto err;

    TEST_note("NIST test vectors ... ");
    if (!TEST_true(BN_hex2bn(&n, test->d)))
        goto err;
    /* fixed point multiplication */
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
        goto err;
    /* random point multiplication */
    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))

        /* set generator to P = 2*G, where G is the standard generator */
        || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx))
        || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
        /* set the scalar to m=n/2, where n is the NIST test scalar */
        || !TEST_true(BN_rshift(m, n, 1)))
        goto err;

    /* test the non-standard generator */
    /* fixed point multiplication */
    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
        goto err;
    /* random point multiplication */
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
#ifndef OPENSSL_NO_DEPRECATED_3_0
        /* We have not performed precomp so this should be false */
        || !TEST_false(EC_GROUP_have_precompute_mult(NISTP))
        /* now repeat all tests with precomputation */
        || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx))
#endif
        )
        goto err;

    /* fixed point multiplication */
    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
        goto err;
    /* random point multiplication */
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))

    /* reset generator */
        || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())))
        goto err;
    /* fixed point multiplication */
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
        goto err;
    /* random point multiplication */
    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
    if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
        goto err;

    /* regression test for felem_neg bug */
    if (!TEST_true(BN_set_word(m, 32))
        || !TEST_true(BN_set_word(n, 31))
        || !TEST_true(EC_POINT_copy(P, G))
        || !TEST_true(EC_POINT_invert(NISTP, P, ctx))
        || !TEST_true(EC_POINT_mul(NISTP, Q, m, P, n, ctx))
        || !TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, G, ctx)))
      goto err;

    r = 1;
err:
    EC_GROUP_free(NISTP);
    EC_POINT_free(G);
    EC_POINT_free(P);
    EC_POINT_free(Q);
    EC_POINT_free(Q_CHECK);
    BN_free(n);
    BN_free(m);
    BN_free(p);
    BN_free(a);
    BN_free(b);
    BN_free(x);
    BN_free(y);
    BN_free(order);
    BN_free(yplusone);
    BN_CTX_free(ctx);
    return r;
}

static const unsigned char p521_named[] = {
    0x06, 0x05, 0x2b, 0x81, 0x04, 0x00, 0x23,
};

static const unsigned char p521_explicit[] = {
    0x30, 0x82, 0x01, 0xc3, 0x02, 0x01, 0x01, 0x30, 0x4d, 0x06, 0x07, 0x2a,
    0x86, 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x42, 0x01, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0x30, 0x81, 0x9f, 0x04, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xfc, 0x04, 0x42, 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a,
    0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72,
    0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09,
    0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0,
    0xbd, 0x3b, 0xb1, 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34,
    0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00, 0x03, 0x15, 0x00,
    0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, 0x67, 0x17,
    0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba, 0x04, 0x81, 0x85, 0x04,
    0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e,
    0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f,
    0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b,
    0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff,
    0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e,
    0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78,
    0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9,
    0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17,
    0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40,
    0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86,
    0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
    0x02, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa,
    0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48,
    0xf7, 0x09, 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae,
    0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09, 0x02, 0x01, 0x01,
};

/*
 * This test validates a named curve's group parameters using
 * EC_GROUP_check_named_curve(). It also checks that modifying any of the
 * group parameters results in the curve not being valid.
 */
static int check_named_curve_test(int id)
{
    int ret = 0, nid, field_nid, has_seed;
    EC_GROUP *group = NULL, *gtest = NULL;
    const EC_POINT *group_gen = NULL;
    EC_POINT *other_gen = NULL;
    BIGNUM *group_p = NULL, *group_a = NULL, *group_b = NULL;
    BIGNUM *other_p = NULL, *other_a = NULL, *other_b = NULL;
    BIGNUM *group_cofactor = NULL, *other_cofactor = NULL;
    BIGNUM *other_order = NULL;
    const BIGNUM *group_order = NULL;
    BN_CTX *bn_ctx = NULL;
    static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED";
    static size_t invalid_seed_len = sizeof(invalid_seed);

    /* Do some setup */
    nid = curves[id].nid;
    if (!TEST_ptr(bn_ctx = BN_CTX_new())
        || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
        || !TEST_ptr(gtest = EC_GROUP_dup(group))
        || !TEST_ptr(group_p = BN_new())
        || !TEST_ptr(group_a = BN_new())
        || !TEST_ptr(group_b = BN_new())
        || !TEST_ptr(group_cofactor = BN_new())
        || !TEST_ptr(group_gen = EC_GROUP_get0_generator(group))
        || !TEST_ptr(group_order = EC_GROUP_get0_order(group))
        || !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL))
        || !TEST_true(EC_GROUP_get_curve(group, group_p, group_a, group_b, NULL))
        || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group))
        || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL))
        || !TEST_ptr(other_order = BN_dup(group_order))
        || !TEST_true(BN_add_word(other_order, 1))
        || !TEST_ptr(other_a = BN_dup(group_a))
        || !TEST_true(BN_add_word(other_a, 1))
        || !TEST_ptr(other_b = BN_dup(group_b))
        || !TEST_true(BN_add_word(other_b, 1))
        || !TEST_ptr(other_cofactor = BN_dup(group_cofactor))
        || !TEST_true(BN_add_word(other_cofactor, 1)))
        goto err;

    /* Determine if the built-in curve has a seed field set */
    has_seed = (EC_GROUP_get_seed_len(group) > 0);
    field_nid = EC_GROUP_get_field_type(group);
    if (field_nid == NID_X9_62_characteristic_two_field) {
        if (!TEST_ptr(other_p = BN_dup(group_p))
            || !TEST_true(BN_lshift1(other_p, other_p)))
            goto err;
    } else {
        if (!TEST_ptr(other_p = BN_dup(group_p)))
            goto err;
        /*
         * Just choosing any arbitrary prime does not work..
         * Setting p via ec_GFp_nist_group_set_curve() needs the prime to be a
         * nist prime. So only select one of these as an alternate prime.
         */
        if (!TEST_ptr(BN_copy(other_p,
                              BN_ucmp(BN_get0_nist_prime_192(), other_p) == 0 ?
                                      BN_get0_nist_prime_256() :
                                      BN_get0_nist_prime_192())))
            goto err;
    }

    /* Passes because this is a valid curve */
    if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)
        /* Only NIST curves pass */
        || !TEST_int_eq(EC_GROUP_check_named_curve(group, 1, NULL),
                        EC_curve_nid2nist(nid) != NULL ? nid : NID_undef))
        goto err;

    /* Fail if the curve name doesn't match the parameters */
    EC_GROUP_set_curve_name(group, nid + 1);
    ERR_set_mark();
    if (!TEST_int_le(EC_GROUP_check_named_curve(group, 0, NULL), 0))
        goto err;
    ERR_pop_to_mark();

    /* Restore curve name and ensure it's passing */
    EC_GROUP_set_curve_name(group, nid);
    if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
        goto err;

    if (!TEST_int_eq(EC_GROUP_set_seed(group, invalid_seed, invalid_seed_len),
                     invalid_seed_len))
        goto err;

    if (has_seed) {
        /*
         * If the built-in curve has a seed and we set the seed to another value
         * then it will fail the check.
         */
        if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), 0))
            goto err;
    } else {
        /*
         * If the built-in curve does not have a seed then setting the seed will
         * pass the check (as the seed is optional).
         */
        if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
            goto err;
    }
    /* Pass if the seed is unknown (as it is optional) */
    if (!TEST_int_eq(EC_GROUP_set_seed(group, NULL, 0), 1)
        || !TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
        goto err;

    /* Check that a duped group passes */
    if (!TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
        goto err;

    /* check that changing any generator parameter fails */
    if (!TEST_true(EC_GROUP_set_generator(gtest, other_gen, group_order,
                                          group_cofactor))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, other_order,
                                             group_cofactor))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
        /* The order is not an optional field, so this should fail */
        || !TEST_false(EC_GROUP_set_generator(gtest, group_gen, NULL,
                                              group_cofactor))
        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
                                             other_cofactor))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
        /* Check that if the cofactor is not set then it still passes */
        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
                                             NULL))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)
        /* check that restoring the generator passes */
        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
                                             group_cofactor))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
        goto err;

    /*
     * check that changing any curve parameter fails
     *
     * Setting arbitrary p, a or b might fail for some EC_GROUPs
     * depending on the internal EC_METHOD implementation, hence run
     * these tests conditionally to the success of EC_GROUP_set_curve().
     */
    ERR_set_mark();
    if (EC_GROUP_set_curve(gtest, other_p, group_a, group_b, NULL)) {
        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
            goto err;
    } else {
        /* clear the error stack if EC_GROUP_set_curve() failed */
        ERR_pop_to_mark();
        ERR_set_mark();
    }
    if (EC_GROUP_set_curve(gtest, group_p, other_a, group_b, NULL)) {
        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
            goto err;
    } else {
        /* clear the error stack if EC_GROUP_set_curve() failed */
        ERR_pop_to_mark();
        ERR_set_mark();
    }
    if (EC_GROUP_set_curve(gtest, group_p, group_a, other_b, NULL)) {
        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
            goto err;
    } else {
        /* clear the error stack if EC_GROUP_set_curve() failed */
        ERR_pop_to_mark();
        ERR_set_mark();
    }
    ERR_pop_to_mark();

    /* Check that restoring the curve parameters passes */
    if (!TEST_true(EC_GROUP_set_curve(gtest, group_p, group_a, group_b, NULL))
        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
        goto err;

    ret = 1;
err:
    BN_free(group_p);
    BN_free(other_p);
    BN_free(group_a);
    BN_free(other_a);
    BN_free(group_b);
    BN_free(other_b);
    BN_free(group_cofactor);
    BN_free(other_cofactor);
    BN_free(other_order);
    EC_POINT_free(other_gen);
    EC_GROUP_free(gtest);
    EC_GROUP_free(group);
    BN_CTX_free(bn_ctx);
    return ret;
}

/*
 * This checks the lookup capability of EC_GROUP_check_named_curve()
 * when the given group was created with explicit parameters.
 *
 * It is possible to retrieve an alternative alias that does not match
 * the original nid in this case.
 */
static int check_named_curve_lookup_test(int id)
{
    int ret = 0, nid, rv = 0;
    EC_GROUP *g = NULL , *ga = NULL;
    ECPARAMETERS *p = NULL, *pa = NULL;
    BN_CTX *ctx = NULL;

    /* Do some setup */
    nid = curves[id].nid;
    if (!TEST_ptr(ctx = BN_CTX_new())
        || !TEST_ptr(g = EC_GROUP_new_by_curve_name(nid))
        || !TEST_ptr(p = EC_GROUP_get_ecparameters(g, NULL)))
        goto err;

    /* replace with group from explicit parameters */
    EC_GROUP_free(g);
    if (!TEST_ptr(g = EC_GROUP_new_from_ecparameters(p)))
        goto err;

    if (!TEST_int_gt(rv = EC_GROUP_check_named_curve(g, 0, NULL), 0))
        goto err;
    if (rv != nid) {
        /*
         * Found an alias:
         * fail if the returned nid is not an alias of the original group.
         *
         * The comparison here is done by comparing two explicit
         * parameter EC_GROUPs with EC_GROUP_cmp(), to ensure the
         * comparison happens with unnamed EC_GROUPs using the same
         * EC_METHODs.
         */
        if (!TEST_ptr(ga = EC_GROUP_new_by_curve_name(rv))
                || !TEST_ptr(pa = EC_GROUP_get_ecparameters(ga, NULL)))
            goto err;

        /* replace with group from explicit parameters, then compare */
        EC_GROUP_free(ga);
        if (!TEST_ptr(ga = EC_GROUP_new_from_ecparameters(pa))
                || !TEST_int_eq(EC_GROUP_cmp(g, ga, ctx), 0))
            goto err;
    }

    ret = 1;

 err:
    EC_GROUP_free(g);
    EC_GROUP_free(ga);
    ECPARAMETERS_free(p);
    ECPARAMETERS_free(pa);
    BN_CTX_free(ctx);

    return ret;
}

/*
 * Sometime we cannot compare nids for equality, as the built-in curve table
 * includes aliases with different names for the same curve.
 *
 * This function returns TRUE (1) if the checked nids are identical, or if they
 * alias to the same curve. FALSE (0) otherwise.
 */
static ossl_inline
int are_ec_nids_compatible(int n1d, int n2d)
{
    int ret = 0;
    switch (n1d) {
#ifndef OPENSSL_NO_EC2M
        case NID_sect113r1:
        case NID_wap_wsg_idm_ecid_wtls4:
            ret = (n2d == NID_sect113r1 || n2d == NID_wap_wsg_idm_ecid_wtls4);
            break;
        case NID_sect163k1:
        case NID_wap_wsg_idm_ecid_wtls3:
            ret = (n2d == NID_sect163k1 || n2d == NID_wap_wsg_idm_ecid_wtls3);
            break;
        case NID_sect233k1:
        case NID_wap_wsg_idm_ecid_wtls10:
            ret = (n2d == NID_sect233k1 || n2d == NID_wap_wsg_idm_ecid_wtls10);
            break;
        case NID_sect233r1:
        case NID_wap_wsg_idm_ecid_wtls11:
            ret = (n2d == NID_sect233r1 || n2d == NID_wap_wsg_idm_ecid_wtls11);
            break;
        case NID_X9_62_c2pnb163v1:
        case NID_wap_wsg_idm_ecid_wtls5:
            ret = (n2d == NID_X9_62_c2pnb163v1
                   || n2d == NID_wap_wsg_idm_ecid_wtls5);
            break;
#endif /* OPENSSL_NO_EC2M */
        case NID_secp112r1:
        case NID_wap_wsg_idm_ecid_wtls6:
            ret = (n2d == NID_secp112r1 || n2d == NID_wap_wsg_idm_ecid_wtls6);
            break;
        case NID_secp160r2:
        case NID_wap_wsg_idm_ecid_wtls7:
            ret = (n2d == NID_secp160r2 || n2d == NID_wap_wsg_idm_ecid_wtls7);
            break;
#ifdef OPENSSL_NO_EC_NISTP_64_GCC_128
        case NID_secp224r1:
        case NID_wap_wsg_idm_ecid_wtls12:
            ret = (n2d == NID_secp224r1 || n2d == NID_wap_wsg_idm_ecid_wtls12);
            break;
#else
        /*
         * For SEC P-224 we want to ensure that the SECP nid is returned, as
         * that is associated with a specialized method.
         */
        case NID_wap_wsg_idm_ecid_wtls12:
            ret = (n2d == NID_secp224r1);
            break;
#endif /* def(OPENSSL_NO_EC_NISTP_64_GCC_128) */

        default:
            ret = (n1d == n2d);
    }
    return ret;
}

/*
 * This checks that EC_GROUP_bew_from_ecparameters() returns a "named"
 * EC_GROUP for built-in curves.
 *
 * Note that it is possible to retrieve an alternative alias that does not match
 * the original nid.
 *
 * Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set.
 */
static int check_named_curve_from_ecparameters(int id)
{
    int ret = 0, nid, tnid;
    EC_GROUP *group = NULL, *tgroup = NULL, *tmpg = NULL;
    const EC_POINT *group_gen = NULL;
    EC_POINT *other_gen = NULL;
    BIGNUM *group_cofactor = NULL, *other_cofactor = NULL;
    BIGNUM *other_gen_x = NULL, *other_gen_y = NULL;
    const BIGNUM *group_order = NULL;
    BIGNUM *other_order = NULL;
    BN_CTX *bn_ctx = NULL;
    static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED";
    static size_t invalid_seed_len = sizeof(invalid_seed);
    ECPARAMETERS *params = NULL, *other_params = NULL;
    EC_GROUP *g_ary[8] = {NULL};
    EC_GROUP **g_next = &g_ary[0];
    ECPARAMETERS *p_ary[8] = {NULL};
    ECPARAMETERS **p_next = &p_ary[0];

    /* Do some setup */
    nid = curves[id].nid;
    TEST_note("Curve %s", OBJ_nid2sn(nid));
    if (!TEST_ptr(bn_ctx = BN_CTX_new()))
        return ret;
    BN_CTX_start(bn_ctx);

    if (/* Allocations */
        !TEST_ptr(group_cofactor = BN_CTX_get(bn_ctx))
        || !TEST_ptr(other_gen_x = BN_CTX_get(bn_ctx))
        || !TEST_ptr(other_gen_y = BN_CTX_get(bn_ctx))
        || !TEST_ptr(other_order = BN_CTX_get(bn_ctx))
        || !TEST_ptr(other_cofactor = BN_CTX_get(bn_ctx))
        /* Generate reference group and params */
        || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
        || !TEST_ptr(params = EC_GROUP_get_ecparameters(group, NULL))
        || !TEST_ptr(group_gen = EC_GROUP_get0_generator(group))
        || !TEST_ptr(group_order = EC_GROUP_get0_order(group))
        || !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL))
        /* compute `other_*` values */
        || !TEST_ptr(tmpg = EC_GROUP_dup(group))
        || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group))
        || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL))
        || !TEST_true(EC_POINT_get_affine_coordinates(group, other_gen,
                      other_gen_x, other_gen_y, bn_ctx))
        || !TEST_true(BN_copy(other_order, group_order))
        || !TEST_true(BN_add_word(other_order, 1))
        || !TEST_true(BN_copy(other_cofactor, group_cofactor))
        || !TEST_true(BN_add_word(other_cofactor, 1)))
        goto err;

    EC_POINT_free(other_gen);
    other_gen = NULL;

    if (!TEST_ptr(other_gen = EC_POINT_new(tmpg))
        || !TEST_true(EC_POINT_set_affine_coordinates(tmpg, other_gen,
                                                      other_gen_x, other_gen_y,
                                                      bn_ctx)))
        goto err;

    /*
     * ###########################
     * # Actual tests start here #
     * ###########################
     */

    /*
     * Creating a group from built-in explicit parameters returns a
     * "named" EC_GROUP
     */
    if (!TEST_ptr(tgroup = *g_next++ = EC_GROUP_new_from_ecparameters(params))
        || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef))
        goto err;
    /*
     * We cannot always guarantee the names match, as the built-in table
     * contains aliases for the same curve with different names.
     */
    if (!TEST_true(are_ec_nids_compatible(nid, tnid))) {
        TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
        goto err;
    }
    /* Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set. */
    if (!TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), OPENSSL_EC_EXPLICIT_CURVE))
        goto err;

    /*
     * An invalid seed in the parameters should be ignored: expect a "named"
     * group.
     */
    if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, invalid_seed, invalid_seed_len),
                     invalid_seed_len)
            || !TEST_ptr(other_params = *p_next++ =
                         EC_GROUP_get_ecparameters(tmpg, NULL))
            || !TEST_ptr(tgroup = *g_next++ =
                          EC_GROUP_new_from_ecparameters(other_params))
            || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
            || !TEST_true(are_ec_nids_compatible(nid, tnid))
            || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
                            OPENSSL_EC_EXPLICIT_CURVE)) {
        TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
        goto err;
    }

    /*
     * A null seed in the parameters should be ignored, as it is optional:
     * expect a "named" group.
     */
    if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, NULL, 0), 1)
            || !TEST_ptr(other_params = *p_next++ =
                         EC_GROUP_get_ecparameters(tmpg, NULL))
            || !TEST_ptr(tgroup = *g_next++ =
                          EC_GROUP_new_from_ecparameters(other_params))
            || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
            || !TEST_true(are_ec_nids_compatible(nid, tnid))
            || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
                            OPENSSL_EC_EXPLICIT_CURVE)) {
        TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
        goto err;
    }

    /*
     * Check that changing any of the generator parameters does not yield a
     * match with the built-in curves
     */
    if (/* Other gen, same group order & cofactor */
        !TEST_true(EC_GROUP_set_generator(tmpg, other_gen, group_order,
                                          group_cofactor))
        || !TEST_ptr(other_params = *p_next++ =
                     EC_GROUP_get_ecparameters(tmpg, NULL))
        || !TEST_ptr(tgroup = *g_next++ =
                      EC_GROUP_new_from_ecparameters(other_params))
        || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
        /* Same gen & cofactor, different order */
        || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, other_order,
                                             group_cofactor))
        || !TEST_ptr(other_params = *p_next++ =
                     EC_GROUP_get_ecparameters(tmpg, NULL))
        || !TEST_ptr(tgroup = *g_next++ =
                      EC_GROUP_new_from_ecparameters(other_params))
        || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
        /* The order is not an optional field, so this should fail */
        || !TEST_false(EC_GROUP_set_generator(tmpg, group_gen, NULL,
                                              group_cofactor))
        /* Check that a wrong cofactor is ignored, and we still match */
        || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
                                             other_cofactor))
        || !TEST_ptr(other_params = *p_next++ =
                     EC_GROUP_get_ecparameters(tmpg, NULL))
        || !TEST_ptr(tgroup = *g_next++ =
                      EC_GROUP_new_from_ecparameters(other_params))
        || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
        || !TEST_true(are_ec_nids_compatible(nid, tnid))
        || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
                        OPENSSL_EC_EXPLICIT_CURVE)
        /* Check that if the cofactor is not set then it still matches */
        || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
                                             NULL))
        || !TEST_ptr(other_params = *p_next++ =
                     EC_GROUP_get_ecparameters(tmpg, NULL))
        || !TEST_ptr(tgroup = *g_next++ =
                      EC_GROUP_new_from_ecparameters(other_params))
        || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
        || !TEST_true(are_ec_nids_compatible(nid, tnid))
        || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
                        OPENSSL_EC_EXPLICIT_CURVE)
        /* check that restoring the generator passes */
        || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
                                             group_cofactor))
        || !TEST_ptr(other_params = *p_next++ =
                     EC_GROUP_get_ecparameters(tmpg, NULL))
        || !TEST_ptr(tgroup = *g_next++ =
                      EC_GROUP_new_from_ecparameters(other_params))
        || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
        || !TEST_true(are_ec_nids_compatible(nid, tnid))
        || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
                        OPENSSL_EC_EXPLICIT_CURVE))
        goto err;

    ret = 1;
err:
    for (g_next = &g_ary[0]; g_next < g_ary + OSSL_NELEM(g_ary); g_next++)
        EC_GROUP_free(*g_next);
    for (p_next = &p_ary[0]; p_next < p_ary + OSSL_NELEM(g_ary); p_next++)
        ECPARAMETERS_free(*p_next);
    ECPARAMETERS_free(params);
    EC_POINT_free(other_gen);
    EC_GROUP_free(tmpg);
    EC_GROUP_free(group);
    BN_CTX_end(bn_ctx);
    BN_CTX_free(bn_ctx);
    return ret;
}


static int parameter_test(void)
{
    EC_GROUP *group = NULL, *group2 = NULL;
    ECPARAMETERS *ecparameters = NULL;
    unsigned char *buf = NULL;
    int r = 0, len;
    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp384r1))
        || !TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
        || !TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
        || !TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0))
        goto err;

    EC_GROUP_free(group);
    group = NULL;

    /* Test the named curve encoding, which should be default. */
    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp521r1))
        || !TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
        || !TEST_mem_eq(buf, len, p521_named, sizeof(p521_named)))
        goto err;

    OPENSSL_free(buf);
    buf = NULL;

    /*
     * Test the explicit encoding. P-521 requires correctly zero-padding the
     * curve coefficients.
     */
    EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
    if (!TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
        || !TEST_mem_eq(buf, len, p521_explicit, sizeof(p521_explicit)))
        goto err;

    r = 1;
err:
    EC_GROUP_free(group);
    EC_GROUP_free(group2);
    ECPARAMETERS_free(ecparameters);
    OPENSSL_free(buf);
    return r;
}

/*-
 * random 256-bit explicit parameters curve, cofactor absent
 * order:    0x0c38d96a9f892b88772ec2e39614a82f4f (132 bit)
 * cofactor:   0x12bc94785251297abfafddf1565100da (125 bit)
 */
static const unsigned char params_cf_pass[] = {
    0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
    0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xe5, 0x00, 0x1f, 0xc5,
    0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
    0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
    0x44, 0x88, 0xe6, 0x91, 0x30, 0x44, 0x04, 0x20, 0xe5, 0x00, 0x1f, 0xc5,
    0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
    0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
    0x44, 0x88, 0xe6, 0x8e, 0x04, 0x20, 0x18, 0x8c, 0x59, 0x57, 0xc4, 0xbc,
    0x85, 0x57, 0xc3, 0x66, 0x9f, 0x89, 0xd5, 0x92, 0x0d, 0x7e, 0x42, 0x27,
    0x07, 0x64, 0xaa, 0x26, 0xed, 0x89, 0xc4, 0x09, 0x05, 0x4d, 0xc7, 0x23,
    0x47, 0xda, 0x04, 0x41, 0x04, 0x1b, 0x6b, 0x41, 0x0b, 0xf9, 0xfb, 0x77,
    0xfd, 0x50, 0xb7, 0x3e, 0x23, 0xa3, 0xec, 0x9a, 0x3b, 0x09, 0x31, 0x6b,
    0xfa, 0xf6, 0xce, 0x1f, 0xff, 0xeb, 0x57, 0x93, 0x24, 0x70, 0xf3, 0xf4,
    0xba, 0x7e, 0xfa, 0x86, 0x6e, 0x19, 0x89, 0xe3, 0x55, 0x6d, 0x5a, 0xe9,
    0xc0, 0x3d, 0xbc, 0xfb, 0xaf, 0xad, 0xd4, 0x7e, 0xa6, 0xe5, 0xfa, 0x1a,
    0x58, 0x07, 0x9e, 0x8f, 0x0d, 0x3b, 0xf7, 0x38, 0xca, 0x02, 0x11, 0x0c,
    0x38, 0xd9, 0x6a, 0x9f, 0x89, 0x2b, 0x88, 0x77, 0x2e, 0xc2, 0xe3, 0x96,
    0x14, 0xa8, 0x2f, 0x4f
};

/*-
 * random 256-bit explicit parameters curve, cofactor absent
 * order:    0x045a75c0c17228ebd9b169a10e34a22101 (131 bit)
 * cofactor:   0x2e134b4ede82649f67a2e559d361e5fe (126 bit)
 */
static const unsigned char params_cf_fail[] = {
    0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
    0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xc8, 0x95, 0x27, 0x37,
    0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
    0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
    0x33, 0xc2, 0xea, 0x13, 0x30, 0x44, 0x04, 0x20, 0xc8, 0x95, 0x27, 0x37,
    0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
    0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
    0x33, 0xc2, 0xea, 0x10, 0x04, 0x20, 0xbf, 0xa6, 0xa8, 0x05, 0x1d, 0x09,
    0xac, 0x70, 0x39, 0xbb, 0x4d, 0xb2, 0x90, 0x8a, 0x15, 0x41, 0x14, 0x1d,
    0x11, 0x86, 0x9f, 0x13, 0xa2, 0x63, 0x1a, 0xda, 0x95, 0x22, 0x4d, 0x02,
    0x15, 0x0a, 0x04, 0x41, 0x04, 0xaf, 0x16, 0x71, 0xf9, 0xc4, 0xc8, 0x59,
    0x1d, 0xa3, 0x6f, 0xe7, 0xc3, 0x57, 0xa1, 0xfa, 0x9f, 0x49, 0x7c, 0x11,
    0x27, 0x05, 0xa0, 0x7f, 0xff, 0xf9, 0xe0, 0xe7, 0x92, 0xdd, 0x9c, 0x24,
    0x8e, 0xc7, 0xb9, 0x52, 0x71, 0x3f, 0xbc, 0x7f, 0x6a, 0x9f, 0x35, 0x70,
    0xe1, 0x27, 0xd5, 0x35, 0x8a, 0x13, 0xfa, 0xa8, 0x33, 0x3e, 0xd4, 0x73,
    0x1c, 0x14, 0x58, 0x9e, 0xc7, 0x0a, 0x87, 0x65, 0x8d, 0x02, 0x11, 0x04,
    0x5a, 0x75, 0xc0, 0xc1, 0x72, 0x28, 0xeb, 0xd9, 0xb1, 0x69, 0xa1, 0x0e,
    0x34, 0xa2, 0x21, 0x01
};

/*-
 * Test two random 256-bit explicit parameters curves with absent cofactor.
 * The two curves are chosen to roughly straddle the bounds at which the lib
 * can compute the cofactor automatically, roughly 4*sqrt(p). So test that:
 *
 * - params_cf_pass: order is sufficiently close to p to compute cofactor
 * - params_cf_fail: order is too far away from p to compute cofactor
 *
 * For standards-compliant curves, cofactor is chosen as small as possible.
 * So you can see neither of these curves are fit for cryptographic use.
 *
 * Some standards even mandate an upper bound on the cofactor, e.g. SECG1 v2:
 * h <= 2**(t/8) where t is the security level of the curve, for which the lib
 * will always succeed in computing the cofactor. Neither of these curves
 * conform to that -- this is just robustness testing.
 */
static int cofactor_range_test(void)
{
    EC_GROUP *group = NULL;
    BIGNUM *cf = NULL;
    int ret = 0;
    const unsigned char *b1 = (const unsigned char *)params_cf_fail;
    const unsigned char *b2 = (const unsigned char *)params_cf_pass;

    if (!TEST_ptr(group = d2i_ECPKParameters(NULL, &b1, sizeof(params_cf_fail)))
        || !TEST_BN_eq_zero(EC_GROUP_get0_cofactor(group))
        || !TEST_ptr(group = d2i_ECPKParameters(&group, &b2,
                                                sizeof(params_cf_pass)))
        || !TEST_int_gt(BN_hex2bn(&cf, "12bc94785251297abfafddf1565100da"), 0)
        || !TEST_BN_eq(cf, EC_GROUP_get0_cofactor(group)))
        goto err;
    ret = 1;
 err:
    BN_free(cf);
    EC_GROUP_free(group);
    return ret;
}

/*-
 * For named curves, test that:
 * - the lib correctly computes the cofactor if passed a NULL or zero cofactor
 * - a nonsensical cofactor throws an error (negative test)
 * - nonsensical orders throw errors (negative tests)
 */
static int cardinality_test(int n)
{
    int ret = 0, is_binary = 0;
    int nid = curves[n].nid;
    BN_CTX *ctx = NULL;
    EC_GROUP *g1 = NULL, *g2 = NULL;
    EC_POINT *g2_gen = NULL;
    BIGNUM *g1_p = NULL, *g1_a = NULL, *g1_b = NULL, *g1_x = NULL, *g1_y = NULL,
           *g1_order = NULL, *g1_cf = NULL, *g2_cf = NULL;

    TEST_info("Curve %s cardinality test", OBJ_nid2sn(nid));

    if (!TEST_ptr(ctx = BN_CTX_new())
        || !TEST_ptr(g1 = EC_GROUP_new_by_curve_name(nid))) {
        BN_CTX_free(ctx);
        return 0;
    }

    is_binary = (EC_GROUP_get_field_type(g1) == NID_X9_62_characteristic_two_field);

    BN_CTX_start(ctx);
    g1_p = BN_CTX_get(ctx);
    g1_a = BN_CTX_get(ctx);
    g1_b = BN_CTX_get(ctx);
    g1_x = BN_CTX_get(ctx);
    g1_y = BN_CTX_get(ctx);
    g1_order = BN_CTX_get(ctx);
    g1_cf = BN_CTX_get(ctx);

    if (!TEST_ptr(g2_cf = BN_CTX_get(ctx))
        /* pull out the explicit curve parameters */
        || !TEST_true(EC_GROUP_get_curve(g1, g1_p, g1_a, g1_b, ctx))
        || !TEST_true(EC_POINT_get_affine_coordinates(g1,
                      EC_GROUP_get0_generator(g1), g1_x, g1_y, ctx))
        || !TEST_true(BN_copy(g1_order, EC_GROUP_get0_order(g1)))
        || !TEST_true(EC_GROUP_get_cofactor(g1, g1_cf, ctx))
        /* construct g2 manually with g1 parameters */
#ifndef OPENSSL_NO_EC2M
        || !TEST_ptr(g2 = (is_binary) ?
                           EC_GROUP_new_curve_GF2m(g1_p, g1_a, g1_b, ctx) :
                           EC_GROUP_new_curve_GFp(g1_p, g1_a, g1_b, ctx))
#else
        || !TEST_int_eq(0, is_binary)
        || !TEST_ptr(g2 = EC_GROUP_new_curve_GFp(g1_p, g1_a, g1_b, ctx))
#endif
        || !TEST_ptr(g2_gen = EC_POINT_new(g2))
        || !TEST_true(EC_POINT_set_affine_coordinates(g2, g2_gen, g1_x, g1_y, ctx))
        /* pass NULL cofactor: lib should compute it */
        || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
        || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
        || !TEST_BN_eq(g1_cf, g2_cf)
        /* pass zero cofactor: lib should compute it */
        || !TEST_true(BN_set_word(g2_cf, 0))
        || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
        || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
        || !TEST_BN_eq(g1_cf, g2_cf)
        /* negative test for invalid cofactor */
        || !TEST_true(BN_set_word(g2_cf, 0))
        || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
        || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
        /* negative test for NULL order */
        || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, NULL, NULL))
        /* negative test for zero order */
        || !TEST_true(BN_set_word(g1_order, 0))
        || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
        /* negative test for negative order */
        || !TEST_true(BN_set_word(g2_cf, 0))
        || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
        || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
        /* negative test for too large order */
        || !TEST_true(BN_lshift(g1_order, g1_p, 2))
        || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)))
        goto err;
    ret = 1;
 err:
    EC_POINT_free(g2_gen);
    EC_GROUP_free(g1);
    EC_GROUP_free(g2);
    BN_CTX_end(ctx);
    BN_CTX_free(ctx);
    return ret;
}

static int check_ec_key_field_public_range_test(int id)
{
    int ret = 0, type = 0;
    const EC_POINT *pub = NULL;
    const EC_GROUP *group = NULL;
    const BIGNUM *field = NULL;
    BIGNUM *x = NULL, *y = NULL;
    EC_KEY *key = NULL;

    if (!TEST_ptr(x = BN_new())
            || !TEST_ptr(y = BN_new())
            || !TEST_ptr(key = EC_KEY_new_by_curve_name(curves[id].nid))
            || !TEST_ptr(group = EC_KEY_get0_group(key))
            || !TEST_ptr(field = EC_GROUP_get0_field(group))
            || !TEST_int_gt(EC_KEY_generate_key(key), 0)
            || !TEST_int_gt(EC_KEY_check_key(key), 0)
            || !TEST_ptr(pub = EC_KEY_get0_public_key(key))
            || !TEST_int_gt(EC_POINT_get_affine_coordinates(group, pub, x, y,
                                                            NULL), 0))
        goto err;

    /*
     * Make the public point out of range by adding the field (which will still
     * be the same point on the curve). The add is different for char2 fields.
     */
    type = EC_GROUP_get_field_type(group);
#ifndef OPENSSL_NO_EC2M
    if (type == NID_X9_62_characteristic_two_field) {
        /* test for binary curves */
        if (!TEST_true(BN_GF2m_add(x, x, field)))
            goto err;
    } else
#endif
    if (type == NID_X9_62_prime_field) {
        /* test for prime curves */
        if (!TEST_true(BN_add(x, x, field)))
            goto err;
    } else {
        /* this should never happen */
        TEST_error("Unsupported EC_METHOD field_type");
        goto err;
    }
    if (!TEST_int_le(EC_KEY_set_public_key_affine_coordinates(key, x, y), 0))
        goto err;

    ret = 1;
err:
    BN_free(x);
    BN_free(y);
    EC_KEY_free(key);
    return ret;
}

/*
 * Helper for ec_point_hex2point_test
 *
 * Self-tests EC_POINT_point2hex() against EC_POINT_hex2point() for the given
 * (group,P) pair.
 *
 * If P is NULL use point at infinity.
 */
static ossl_inline
int ec_point_hex2point_test_helper(const EC_GROUP *group, const EC_POINT *P,
                                   point_conversion_form_t form,
                                   BN_CTX *bnctx)
{
    int ret = 0;
    EC_POINT *Q = NULL, *Pinf = NULL;
    char *hex = NULL;

    if (P == NULL) {
        /* If P is NULL use point at infinity. */
        if (!TEST_ptr(Pinf = EC_POINT_new(group))
                || !TEST_true(EC_POINT_set_to_infinity(group, Pinf)))
            goto err;
        P = Pinf;
    }

    if (!TEST_ptr(hex = EC_POINT_point2hex(group, P, form, bnctx))
            || !TEST_ptr(Q = EC_POINT_hex2point(group, hex, NULL, bnctx))
            || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, bnctx)))
        goto err;

    /*
     * The next check is most likely superfluous, as EC_POINT_cmp should already
     * cover this.
     * Nonetheless it increases the test coverage for EC_POINT_is_at_infinity,
     * so we include it anyway!
     */
    if (Pinf != NULL
            && !TEST_true(EC_POINT_is_at_infinity(group, Q)))
        goto err;

    ret = 1;

 err:
    EC_POINT_free(Pinf);
    OPENSSL_free(hex);
    EC_POINT_free(Q);

    return ret;
}

/*
 * This test self-validates EC_POINT_hex2point() and EC_POINT_point2hex()
 */
static int ec_point_hex2point_test(int id)
{
    int ret = 0, nid;
    EC_GROUP *group = NULL;
    const EC_POINT *G = NULL;
    EC_POINT *P = NULL;
    BN_CTX * bnctx = NULL;

    /* Do some setup */
    nid = curves[id].nid;
    if (!TEST_ptr(bnctx = BN_CTX_new())
            || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
            || !TEST_ptr(G = EC_GROUP_get0_generator(group))
            || !TEST_ptr(P = EC_POINT_dup(G, group)))
        goto err;

    if (!TEST_true(ec_point_hex2point_test_helper(group, P,
                                                  POINT_CONVERSION_COMPRESSED,
                                                  bnctx))
            || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
                                                         POINT_CONVERSION_COMPRESSED,
                                                         bnctx))
            || !TEST_true(ec_point_hex2point_test_helper(group, P,
                                                         POINT_CONVERSION_UNCOMPRESSED,
                                                         bnctx))
            || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
                                                         POINT_CONVERSION_UNCOMPRESSED,
                                                         bnctx))
            || !TEST_true(ec_point_hex2point_test_helper(group, P,
                                                         POINT_CONVERSION_HYBRID,
                                                         bnctx))
            || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
                                                         POINT_CONVERSION_HYBRID,
                                                         bnctx)))
        goto err;

    ret = 1;

 err:
    EC_POINT_free(P);
    EC_GROUP_free(group);
    BN_CTX_free(bnctx);

    return ret;
}

static int do_test_custom_explicit_fromdata(EC_GROUP *group, BN_CTX *ctx,
                                            unsigned char *gen, int gen_size)
{
    int ret = 0, i_out;
    EVP_PKEY_CTX *pctx = NULL;
    EVP_PKEY *pkeyparam = NULL;
    OSSL_PARAM_BLD *bld = NULL;
    const char *field_name;
    OSSL_PARAM *params = NULL;
    const OSSL_PARAM *gettable;
    BIGNUM *p, *a, *b;
    BIGNUM *p_out = NULL, *a_out = NULL, *b_out = NULL;
    BIGNUM *order_out = NULL, *cofactor_out = NULL;
    char name[80];
    unsigned char buf[1024];
    size_t buf_len, name_len;
#ifndef OPENSSL_NO_EC2M
    unsigned int k1 = 0, k2 = 0, k3 = 0;
    const char *basis_name = NULL;
#endif

    p = BN_CTX_get(ctx);
    a = BN_CTX_get(ctx);
    b = BN_CTX_get(ctx);

    if (!TEST_ptr(b)
        || !TEST_ptr(bld = OSSL_PARAM_BLD_new()))
        goto err;

    if (EC_GROUP_get_field_type(group) == NID_X9_62_prime_field) {
        field_name = SN_X9_62_prime_field;
    } else {
        field_name = SN_X9_62_characteristic_two_field;
#ifndef OPENSSL_NO_EC2M
        if (EC_GROUP_get_basis_type(group) == NID_X9_62_tpBasis) {
            basis_name = SN_X9_62_tpBasis;
            if (!TEST_true(EC_GROUP_get_trinomial_basis(group, &k1)))
                goto err;
        } else {
            basis_name = SN_X9_62_ppBasis;
            if (!TEST_true(EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3)))
                goto err;
        }
#endif /* OPENSSL_NO_EC2M */
    }
    if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))
        || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(bld,
                          OSSL_PKEY_PARAM_EC_FIELD_TYPE, field_name, 0))
        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_P, p))
        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_A, a))
        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_B, b)))
        goto err;

    if (EC_GROUP_get0_seed(group) != NULL) {
        if (!TEST_true(OSSL_PARAM_BLD_push_octet_string(bld,
                           OSSL_PKEY_PARAM_EC_SEED, EC_GROUP_get0_seed(group),
                           EC_GROUP_get_seed_len(group))))
            goto err;
    }
    if (EC_GROUP_get0_cofactor(group) != NULL) {
        if (!TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_COFACTOR,
                                              EC_GROUP_get0_cofactor(group))))
            goto err;
    }

    if (!TEST_true(OSSL_PARAM_BLD_push_octet_string(bld,
                       OSSL_PKEY_PARAM_EC_GENERATOR, gen, gen_size))
        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_ORDER,
                                             EC_GROUP_get0_order(group))))
        goto err;

    if (!TEST_ptr(params = OSSL_PARAM_BLD_to_param(bld))
        || !TEST_ptr(pctx = EVP_PKEY_CTX_new_from_name(NULL, "EC", NULL))
        || !TEST_int_gt(EVP_PKEY_fromdata_init(pctx), 0)
        || !TEST_int_gt(EVP_PKEY_fromdata(pctx, &pkeyparam,
                                          EVP_PKEY_KEY_PARAMETERS, params), 0))
        goto err;

    /*- Check that all the set values are retrievable -*/

    /* There should be no match to a group name since the generator changed */
    if (!TEST_false(EVP_PKEY_get_utf8_string_param(pkeyparam,
                        OSSL_PKEY_PARAM_GROUP_NAME, name, sizeof(name),
                        &name_len)))
        goto err;

    /* The encoding should be explicit as it has no group */
    if (!TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam,
                       OSSL_PKEY_PARAM_EC_ENCODING,
                       name, sizeof(name), &name_len))
        || !TEST_str_eq(name, OSSL_PKEY_EC_ENCODING_EXPLICIT))
        goto err;

    if (!TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam,
                       OSSL_PKEY_PARAM_EC_FIELD_TYPE, name, sizeof(name),
                       &name_len))
        || !TEST_str_eq(name, field_name))
        goto err;

    if (!TEST_true(EVP_PKEY_get_octet_string_param(pkeyparam,
                       OSSL_PKEY_PARAM_EC_GENERATOR, buf, sizeof(buf), &buf_len))
        || !TEST_mem_eq(buf, (int)buf_len, gen, gen_size))
        goto err;

    if (!TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_P, &p_out))
        || !TEST_BN_eq(p_out, p)
        || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_A,
                                            &a_out))
        || !TEST_BN_eq(a_out, a)
        || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_B,
                                            &b_out))
        || !TEST_BN_eq(b_out, b)
        || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_ORDER,
                                            &order_out))
        || !TEST_BN_eq(order_out, EC_GROUP_get0_order(group)))
        goto err;

    if (EC_GROUP_get0_cofactor(group) != NULL) {
        if (!TEST_true(EVP_PKEY_get_bn_param(pkeyparam,
                           OSSL_PKEY_PARAM_EC_COFACTOR, &cofactor_out))
            || !TEST_BN_eq(cofactor_out, EC_GROUP_get0_cofactor(group)))
            goto err;
    }
    if (EC_GROUP_get0_seed(group) != NULL) {
        if (!TEST_true(EVP_PKEY_get_octet_string_param(pkeyparam,
                           OSSL_PKEY_PARAM_EC_SEED, buf, sizeof(buf), &buf_len))
            || !TEST_mem_eq(buf, buf_len, EC_GROUP_get0_seed(group),
                            EC_GROUP_get_seed_len(group)))
            goto err;
    }

    if (EC_GROUP_get_field_type(group) == NID_X9_62_prime_field) {
        /* No extra fields should be set for a prime field */
        if (!TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                            OSSL_PKEY_PARAM_EC_CHAR2_M, &i_out))
            || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out))
            || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out))
            || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out))
            || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out))
            || !TEST_false(EVP_PKEY_get_utf8_string_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_TYPE, name, sizeof(name),
                               &name_len)))
            goto err;
    } else {
#ifndef OPENSSL_NO_EC2M
        if (!TEST_true(EVP_PKEY_get_int_param(pkeyparam,
                           OSSL_PKEY_PARAM_EC_CHAR2_M, &i_out))
            || !TEST_int_eq(EC_GROUP_get_degree(group), i_out)
            || !TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam,
                              OSSL_PKEY_PARAM_EC_CHAR2_TYPE, name, sizeof(name),
                              &name_len))
            || !TEST_str_eq(name, basis_name))
            goto err;

        if (EC_GROUP_get_basis_type(group) == NID_X9_62_tpBasis) {
            if (!TEST_true(EVP_PKEY_get_int_param(pkeyparam,
                               OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out))
                || !TEST_int_eq(k1, i_out)
                || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                                   OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out))
                || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                                   OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out))
                || !TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                                   OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out)))
                goto err;
        } else {
            if (!TEST_false(EVP_PKEY_get_int_param(pkeyparam,
                                OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out))
                || !TEST_true(EVP_PKEY_get_int_param(pkeyparam,
                                  OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out))
                || !TEST_int_eq(k1, i_out)
                || !TEST_true(EVP_PKEY_get_int_param(pkeyparam,
                                  OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out))
                || !TEST_int_eq(k2, i_out)
                || !TEST_true(EVP_PKEY_get_int_param(pkeyparam,
                                  OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out))
                || !TEST_int_eq(k3, i_out))
                goto err;
        }
#endif /* OPENSSL_NO_EC2M */
    }
    if (!TEST_ptr(gettable = EVP_PKEY_gettable_params(pkeyparam))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_GROUP_NAME))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_ENCODING))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_FIELD_TYPE))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_P))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_A))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_B))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_GENERATOR))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_ORDER))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_COFACTOR))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_SEED))
#ifndef OPENSSL_NO_EC2M
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_M))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_TYPE))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K1))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K2))
        || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K3))
#endif
        )
        goto err;
    ret = 1;
err:
    BN_free(order_out);
    BN_free(cofactor_out);
    BN_free(a_out);
    BN_free(b_out);
    BN_free(p_out);
    OSSL_PARAM_free(params);
    OSSL_PARAM_BLD_free(bld);
    EVP_PKEY_free(pkeyparam);
    EVP_PKEY_CTX_free(pctx);
    return ret;
}

/*
 * check the EC_METHOD respects the supplied EC_GROUP_set_generator G
 */
static int custom_generator_test(int id)
{
    int ret = 0, nid, bsize;
    EC_GROUP *group = NULL;
    EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL;
    BN_CTX *ctx = NULL;
    BIGNUM *k = NULL;
    unsigned char *b1 = NULL, *b2 = NULL;

    /* Do some setup */
    nid = curves[id].nid;
    TEST_note("Curve %s", OBJ_nid2sn(nid));
    if (!TEST_ptr(ctx = BN_CTX_new()))
        return 0;

    BN_CTX_start(ctx);

    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)))
        goto err;

    /* expected byte length of encoded points */
    bsize = (EC_GROUP_get_degree(group) + 7) / 8;
    bsize = 1 + 2 * bsize; /* UNCOMPRESSED_POINT format */

    if (!TEST_ptr(k = BN_CTX_get(ctx))
        /* fetch a testing scalar k != 0,1 */
        || !TEST_true(BN_rand(k, EC_GROUP_order_bits(group) - 1,
                              BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
        /* make k even */
        || !TEST_true(BN_clear_bit(k, 0))
        || !TEST_ptr(G2 = EC_POINT_new(group))
        || !TEST_ptr(Q1 = EC_POINT_new(group))
        /* Q1 := kG */
        || !TEST_true(EC_POINT_mul(group, Q1, k, NULL, NULL, ctx))
        /* pull out the bytes of that */
        || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                           POINT_CONVERSION_UNCOMPRESSED, NULL,
                                           0, ctx), bsize)
        || !TEST_ptr(b1 = OPENSSL_malloc(bsize))
        || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                           POINT_CONVERSION_UNCOMPRESSED, b1,
                                           bsize, ctx), bsize)
        /* new generator is G2 := 2G */
        || !TEST_true(EC_POINT_dbl(group, G2, EC_GROUP_get0_generator(group),
                                   ctx))
        || !TEST_true(EC_GROUP_set_generator(group, G2,
                                             EC_GROUP_get0_order(group),
                                             EC_GROUP_get0_cofactor(group)))
        || !TEST_ptr(Q2 = EC_POINT_new(group))
        || !TEST_true(BN_rshift1(k, k))
        /* Q2 := k/2 G2 */
        || !TEST_true(EC_POINT_mul(group, Q2, k, NULL, NULL, ctx))
        || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
                                           POINT_CONVERSION_UNCOMPRESSED, NULL,
                                           0, ctx), bsize)
        || !TEST_ptr(b2 = OPENSSL_malloc(bsize))
        || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
                                           POINT_CONVERSION_UNCOMPRESSED, b2,
                                           bsize, ctx), bsize)
        /* Q1 = kG = k/2 G2 = Q2 should hold */
        || !TEST_mem_eq(b1, bsize, b2, bsize))
        goto err;

    if (!do_test_custom_explicit_fromdata(group, ctx, b1, bsize))
        goto err;

    ret = 1;

 err:
    EC_POINT_free(Q1);
    EC_POINT_free(Q2);
    EC_POINT_free(G2);
    EC_GROUP_free(group);
    BN_CTX_end(ctx);
    BN_CTX_free(ctx);
    OPENSSL_free(b1);
    OPENSSL_free(b2);

    return ret;
}

/*
 * check creation of curves from explicit params through the public API
 */
static int custom_params_test(int id)
{
    int ret = 0, nid, bsize;
    const char *curve_name = NULL;
    EC_GROUP *group = NULL, *altgroup = NULL;
    EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL;
    const EC_POINT *Q = NULL;
    BN_CTX *ctx = NULL;
    BIGNUM *k = NULL;
    unsigned char *buf1 = NULL, *buf2 = NULL;
    const BIGNUM *z = NULL, *cof = NULL, *priv1 = NULL;
    BIGNUM *p = NULL, *a = NULL, *b = NULL;
    int is_prime = 0;
    EC_KEY *eckey1 = NULL, *eckey2 = NULL;
    EVP_PKEY *pkey1 = NULL, *pkey2 = NULL;
    EVP_PKEY_CTX *pctx1 = NULL, *pctx2 = NULL;
    size_t sslen, t;
    unsigned char *pub1 = NULL , *pub2 = NULL;
    OSSL_PARAM_BLD *param_bld = NULL;
    OSSL_PARAM *params1 = NULL, *params2 = NULL;

    /* Do some setup */
    nid = curves[id].nid;
    curve_name = OBJ_nid2sn(nid);
    TEST_note("Curve %s", curve_name);

    if (nid == NID_sm2)
        return TEST_skip("custom params not supported with SM2");

    if (!TEST_ptr(ctx = BN_CTX_new()))
        return 0;

    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)))
        goto err;

    is_prime = EC_GROUP_get_field_type(group) == NID_X9_62_prime_field;
#ifdef OPENSSL_NO_EC2M
    if (!is_prime) {
        ret = TEST_skip("binary curves not supported in this build");
        goto err;
    }
#endif

    BN_CTX_start(ctx);
    if (!TEST_ptr(p = BN_CTX_get(ctx))
            || !TEST_ptr(a = BN_CTX_get(ctx))
            || !TEST_ptr(b = BN_CTX_get(ctx))
            || !TEST_ptr(k = BN_CTX_get(ctx)))
        goto err;

    /* expected byte length of encoded points */
    bsize = (EC_GROUP_get_degree(group) + 7) / 8;
    bsize = 1 + 2 * bsize; /* UNCOMPRESSED_POINT format */

    /* extract parameters from built-in curve */
    if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))
            || !TEST_ptr(G2 = EC_POINT_new(group))
            /* new generator is G2 := 2G */
            || !TEST_true(EC_POINT_dbl(group, G2,
                                       EC_GROUP_get0_generator(group), ctx))
            /* pull out the bytes of that */
            || !TEST_int_eq(EC_POINT_point2oct(group, G2,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               NULL, 0, ctx), bsize)
            || !TEST_ptr(buf1 = OPENSSL_malloc(bsize))
            || !TEST_int_eq(EC_POINT_point2oct(group, G2,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               buf1, bsize, ctx), bsize)
            || !TEST_ptr(z = EC_GROUP_get0_order(group))
            || !TEST_ptr(cof = EC_GROUP_get0_cofactor(group))
        )
        goto err;

    /* create a new group using same params (but different generator) */
    if (is_prime) {
        if (!TEST_ptr(altgroup = EC_GROUP_new_curve_GFp(p, a, b, ctx)))
            goto err;
    }
#ifndef OPENSSL_NO_EC2M
    else {
        if (!TEST_ptr(altgroup = EC_GROUP_new_curve_GF2m(p, a, b, ctx)))
            goto err;
    }
#endif

    /* set 2*G as the generator of altgroup */
    EC_POINT_free(G2); /* discard G2 as it refers to the original group */
    if (!TEST_ptr(G2 = EC_POINT_new(altgroup))
            || !TEST_true(EC_POINT_oct2point(altgroup, G2, buf1, bsize, ctx))
            || !TEST_int_eq(EC_POINT_is_on_curve(altgroup, G2, ctx), 1)
            || !TEST_true(EC_GROUP_set_generator(altgroup, G2, z, cof))
       )
        goto err;

    /* verify math checks out */
    if (/* allocate temporary points on group and altgroup */
            !TEST_ptr(Q1 = EC_POINT_new(group))
            || !TEST_ptr(Q2 = EC_POINT_new(altgroup))
            /* fetch a testing scalar k != 0,1 */
            || !TEST_true(BN_rand(k, EC_GROUP_order_bits(group) - 1,
                                  BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
            /* make k even */
            || !TEST_true(BN_clear_bit(k, 0))
            /* Q1 := kG on group */
            || !TEST_true(EC_POINT_mul(group, Q1, k, NULL, NULL, ctx))
            /* pull out the bytes of that */
            || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               NULL, 0, ctx), bsize)
            || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               buf1, bsize, ctx), bsize)
            /* k := k/2 */
            || !TEST_true(BN_rshift1(k, k))
            /* Q2 := k/2 G2 on altgroup */
            || !TEST_true(EC_POINT_mul(altgroup, Q2, k, NULL, NULL, ctx))
            /* pull out the bytes of that */
            || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q2,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               NULL, 0, ctx), bsize)
            || !TEST_ptr(buf2 = OPENSSL_malloc(bsize))
            || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q2,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               buf2, bsize, ctx), bsize)
            /* Q1 = kG = k/2 G2 = Q2 should hold */
            || !TEST_mem_eq(buf1, bsize, buf2, bsize))
        goto err;

    /* create two `EC_KEY`s on altgroup */
    if (!TEST_ptr(eckey1 = EC_KEY_new())
            || !TEST_true(EC_KEY_set_group(eckey1, altgroup))
            || !TEST_true(EC_KEY_generate_key(eckey1))
            || !TEST_ptr(eckey2 = EC_KEY_new())
            || !TEST_true(EC_KEY_set_group(eckey2, altgroup))
            || !TEST_true(EC_KEY_generate_key(eckey2)))
        goto err;

    /* retrieve priv1 for later */
    if (!TEST_ptr(priv1 = EC_KEY_get0_private_key(eckey1)))
        goto err;

    /*
     * retrieve bytes for pub1 for later
     *
     * We compute the pub key in the original group as we will later use it to
     * define a provider key in the built-in group.
     */
    if (!TEST_true(EC_POINT_mul(group, Q1, priv1, NULL, NULL, ctx))
            || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               NULL, 0, ctx), bsize)
            || !TEST_ptr(pub1 = OPENSSL_malloc(bsize))
            || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               pub1, bsize, ctx), bsize))
        goto err;

    /* retrieve bytes for pub2 for later */
    if (!TEST_ptr(Q = EC_KEY_get0_public_key(eckey2))
            || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               NULL, 0, ctx), bsize)
            || !TEST_ptr(pub2 = OPENSSL_malloc(bsize))
            || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q,
                                               POINT_CONVERSION_UNCOMPRESSED,
                                               pub2, bsize, ctx), bsize))
        goto err;

    /* create two `EVP_PKEY`s from the `EC_KEY`s */
    if(!TEST_ptr(pkey1 = EVP_PKEY_new())
            || !TEST_int_eq(EVP_PKEY_assign_EC_KEY(pkey1, eckey1), 1))
        goto err;
    eckey1 = NULL; /* ownership passed to pkey1 */
    if(!TEST_ptr(pkey2 = EVP_PKEY_new())
            || !TEST_int_eq(EVP_PKEY_assign_EC_KEY(pkey2, eckey2), 1))
        goto err;
    eckey2 = NULL; /* ownership passed to pkey2 */

    /* Compute keyexchange in both directions */
    if (!TEST_ptr(pctx1 = EVP_PKEY_CTX_new(pkey1, NULL))
            || !TEST_int_eq(EVP_PKEY_derive_init(pctx1), 1)
            || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx1, pkey2), 1)
            || !TEST_int_eq(EVP_PKEY_derive(pctx1, NULL, &sslen), 1)
            || !TEST_int_gt(bsize, sslen)
            || !TEST_int_eq(EVP_PKEY_derive(pctx1, buf1, &sslen), 1))
        goto err;
    if (!TEST_ptr(pctx2 = EVP_PKEY_CTX_new(pkey2, NULL))
            || !TEST_int_eq(EVP_PKEY_derive_init(pctx2), 1)
            || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx2, pkey1), 1)
            || !TEST_int_eq(EVP_PKEY_derive(pctx2, NULL, &t), 1)
            || !TEST_int_gt(bsize, t)
            || !TEST_int_le(sslen, t)
            || !TEST_int_eq(EVP_PKEY_derive(pctx2, buf2, &t), 1))
        goto err;

    /* Both sides should expect the same shared secret */
    if (!TEST_mem_eq(buf1, sslen, buf2, t))
        goto err;

    /* Build parameters for provider-native keys */
    if (!TEST_ptr(param_bld = OSSL_PARAM_BLD_new())
            || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(param_bld,
                                                          OSSL_PKEY_PARAM_GROUP_NAME,
                                                          curve_name, 0))
            || !TEST_true(OSSL_PARAM_BLD_push_octet_string(param_bld,
                                                           OSSL_PKEY_PARAM_PUB_KEY,
                                                           pub1, bsize))
            || !TEST_true(OSSL_PARAM_BLD_push_BN(param_bld,
                                                 OSSL_PKEY_PARAM_PRIV_KEY,
                                                 priv1))
            || !TEST_ptr(params1 = OSSL_PARAM_BLD_to_param(param_bld)))
        goto err;

    OSSL_PARAM_BLD_free(param_bld);
    if (!TEST_ptr(param_bld = OSSL_PARAM_BLD_new())
            || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(param_bld,
                                                          OSSL_PKEY_PARAM_GROUP_NAME,
                                                          curve_name, 0))
            || !TEST_true(OSSL_PARAM_BLD_push_octet_string(param_bld,
                                                           OSSL_PKEY_PARAM_PUB_KEY,
                                                           pub2, bsize))
            || !TEST_ptr(params2 = OSSL_PARAM_BLD_to_param(param_bld)))
        goto err;

    /* create two new provider-native `EVP_PKEY`s */
    EVP_PKEY_CTX_free(pctx2);
    if (!TEST_ptr(pctx2 = EVP_PKEY_CTX_new_from_name(NULL, "EC", NULL))
            || !TEST_true(EVP_PKEY_fromdata_init(pctx2))
            || !TEST_true(EVP_PKEY_fromdata(pctx2, &pkey1, EVP_PKEY_KEYPAIR,
                                            params1))
            || !TEST_true(EVP_PKEY_fromdata(pctx2, &pkey2, EVP_PKEY_PUBLIC_KEY,
                                            params2)))
        goto err;

    /* compute keyexchange once more using the provider keys */
    EVP_PKEY_CTX_free(pctx1);
    if (!TEST_ptr(pctx1 = EVP_PKEY_CTX_new(pkey1, NULL))
            || !TEST_int_eq(EVP_PKEY_derive_init(pctx1), 1)
            || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx1, pkey2), 1)
            || !TEST_int_eq(EVP_PKEY_derive(pctx1, NULL, &t), 1)
            || !TEST_int_gt(bsize, t)
            || !TEST_int_le(sslen, t)
            || !TEST_int_eq(EVP_PKEY_derive(pctx1, buf1, &t), 1)
            /* compare with previous result */
            || !TEST_mem_eq(buf1, t, buf2, sslen))
        goto err;

    ret = 1;

 err:
    BN_CTX_end(ctx);
    BN_CTX_free(ctx);
    OSSL_PARAM_BLD_free(param_bld);
    OSSL_PARAM_free(params1);
    OSSL_PARAM_free(params2);
    EC_POINT_free(Q1);
    EC_POINT_free(Q2);
    EC_POINT_free(G2);
    EC_GROUP_free(group);
    EC_GROUP_free(altgroup);
    OPENSSL_free(buf1);
    OPENSSL_free(buf2);
    OPENSSL_free(pub1);
    OPENSSL_free(pub2);
    EC_KEY_free(eckey1);
    EC_KEY_free(eckey2);
    EVP_PKEY_free(pkey1);
    EVP_PKEY_free(pkey2);
    EVP_PKEY_CTX_free(pctx1);
    EVP_PKEY_CTX_free(pctx2);

    return ret;
}

int setup_tests(void)
{
    crv_len = EC_get_builtin_curves(NULL, 0);
    if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len))
        || !TEST_true(EC_get_builtin_curves(curves, crv_len)))
        return 0;

    ADD_TEST(parameter_test);
    /*ADD_TEST(cofactor_range_test);*/
    ADD_ALL_TESTS(cardinality_test, crv_len);
    ADD_TEST(prime_field_tests);
#ifndef OPENSSL_NO_EC2M
    ADD_TEST(char2_field_tests);
    ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
#endif
    ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params));
    ADD_ALL_TESTS(internal_curve_test, crv_len);
    ADD_ALL_TESTS(internal_curve_test_method, crv_len);
    ADD_TEST(group_field_test);
    ADD_ALL_TESTS(check_named_curve_test, crv_len);
    ADD_ALL_TESTS(check_named_curve_lookup_test, crv_len);
    ADD_ALL_TESTS(check_ec_key_field_public_range_test, crv_len);
    ADD_ALL_TESTS(check_named_curve_from_ecparameters, crv_len);
    ADD_ALL_TESTS(ec_point_hex2point_test, crv_len);
    /* ADD_ALL_TESTS(custom_generator_test, crv_len);
    ADD_ALL_TESTS(custom_params_test, crv_len); */
    return 1;
}

void cleanup_tests(void)
{
    OPENSSL_free(curves);
}