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/*
510bcc2
 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
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 *
510bcc2
 * Licensed under the OpenSSL license (the "License").  You may not use
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 * this file except in compliance with the License.  You can obtain a copy
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 * in the file LICENSE in the source distribution or at
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 * https://www.openssl.org/source/license.html
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 */
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/* ====================================================================
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 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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 *
a1fb602
 * Portions of the attached software ("Contribution") are developed by
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 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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 *
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 * The Contribution is licensed pursuant to the OpenSSL open source
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 * license provided above.
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 *
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 * The elliptic curve binary polynomial software is originally written by
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 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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 *
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 */
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#include <stdio.h>
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#include <stdlib.h>
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#ifdef FLAT_INC
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# include "e_os.h"
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#else
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# include "../e_os.h"
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#endif
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#include <string.h>
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#include <time.h>
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#ifdef OPENSSL_NO_EC
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int main(int argc, char *argv[])
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{
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    puts("Elliptic curves are disabled.");
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    return 0;
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}
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#else
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# include <openssl/ec.h>
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# ifndef OPENSSL_NO_ENGINE
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#  include <openssl/engine.h>
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# endif
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# include <openssl/err.h>
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# include <openssl/obj_mac.h>
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# include <openssl/objects.h>
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# include <openssl/rand.h>
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# include <openssl/bn.h>
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# include <openssl/opensslconf.h>
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# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
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/* suppress "too big too optimize" warning */
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#  pragma warning(disable:4959)
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# endif
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# define ABORT do { \
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        fflush(stdout); \
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        fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
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        ERR_print_errors_fp(stderr); \
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        EXIT(1); \
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} while (0)
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a1fb602
# define TIMING_BASE_PT 0
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# define TIMING_RAND_PT 1
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# define TIMING_SIMUL 2
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/* test multiplication with group order, long and negative scalars */
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static void group_order_tests(EC_GROUP *group)
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{
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    BIGNUM *n1, *n2, *order;
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    EC_POINT *P = EC_POINT_new(group);
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    EC_POINT *Q = EC_POINT_new(group);
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    EC_POINT *R = EC_POINT_new(group);
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    EC_POINT *S = EC_POINT_new(group);
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    BN_CTX *ctx = BN_CTX_new();
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    int i;
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    n1 = BN_new();
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    n2 = BN_new();
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    order = BN_new();
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    fprintf(stdout, "verify group order ...");
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    fflush(stdout);
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    if (!EC_GROUP_get_order(group, order, ctx))
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        ABORT;
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    if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
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        ABORT;
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    if (!EC_POINT_is_at_infinity(group, Q))
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        ABORT;
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    fprintf(stdout, ".");
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    fflush(stdout);
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    if (!EC_GROUP_precompute_mult(group, ctx))
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        ABORT;
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    if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
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        ABORT;
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    if (!EC_POINT_is_at_infinity(group, Q))
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        ABORT;
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    fprintf(stdout, " ok\n");
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    fprintf(stdout, "long/negative scalar tests ");
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    for (i = 1; i <= 2; i++) {
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        const BIGNUM *scalars[6];
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        const EC_POINT *points[6];
a1fb602
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        fprintf(stdout, i == 1 ?
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                "allowing precomputation ... " :
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                "without precomputation ... ");
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        if (!BN_set_word(n1, i))
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            ABORT;
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        /*
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         * If i == 1, P will be the predefined generator for which
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         * EC_GROUP_precompute_mult has set up precomputation.
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         */
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        if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
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            ABORT;
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a1fb602
        if (!BN_one(n1))
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            ABORT;
a1fb602
        /* n1 = 1 - order */
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        if (!BN_sub(n1, n1, order))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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a1fb602
        /* n2 = 1 + order */
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        if (!BN_add(n2, order, BN_value_one()))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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a1fb602
        /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
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        if (!BN_mul(n2, n1, n2, ctx))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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a1fb602
        /* n2 = order^2 - 1 */
a1fb602
        BN_set_negative(n2, 0);
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        /* Add P to verify the result. */
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        if (!EC_POINT_add(group, Q, Q, P, ctx))
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            ABORT;
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        if (!EC_POINT_is_at_infinity(group, Q))
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            ABORT;
a1fb602
a1fb602
        /* Exercise EC_POINTs_mul, including corner cases. */
a1fb602
        if (EC_POINT_is_at_infinity(group, P))
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            ABORT;
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510bcc2
        scalars[0] = scalars[1] = BN_value_one();
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        points[0]  = points[1]  = P;
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510bcc2
        if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
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            ABORT;
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        if (!EC_POINT_dbl(group, S, points[0], ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, R, S, ctx))
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            ABORT;
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a1fb602
        scalars[0] = n1;
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        points[0] = Q;          /* => infinity */
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        scalars[1] = n2;
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        points[1] = P;          /* => -P */
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        scalars[2] = n1;
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        points[2] = Q;          /* => infinity */
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        scalars[3] = n2;
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        points[3] = Q;          /* => infinity */
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        scalars[4] = n1;
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        points[4] = P;          /* => P */
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        scalars[5] = n2;
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        points[5] = Q;          /* => infinity */
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        if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
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            ABORT;
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        if (!EC_POINT_is_at_infinity(group, P))
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            ABORT;
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    }
a1fb602
    fprintf(stdout, "ok\n");
a1fb602
a1fb602
    EC_POINT_free(P);
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    EC_POINT_free(Q);
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    EC_POINT_free(R);
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    EC_POINT_free(S);
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    BN_free(n1);
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    BN_free(n2);
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    BN_free(order);
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    BN_CTX_free(ctx);
a1fb602
}
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static void prime_field_tests(void)
a1fb602
{
a1fb602
    BN_CTX *ctx = NULL;
a1fb602
    BIGNUM *p, *a, *b;
a1fb602
    EC_GROUP *group;
a1fb602
    EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
a1fb602
        NULL, *P_384 = NULL, *P_521 = NULL;
a1fb602
    EC_POINT *P, *Q, *R;
510bcc2
    BIGNUM *x, *y, *z, *yplusone;
a1fb602
    unsigned char buf[100];
a1fb602
    size_t i, len;
a1fb602
    int k;
a1fb602
a1fb602
    ctx = BN_CTX_new();
a1fb602
    if (!ctx)
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        ABORT;
a1fb602
a1fb602
    p = BN_new();
a1fb602
    a = BN_new();
a1fb602
    b = BN_new();
a1fb602
    if (!p || !a || !b)
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        ABORT;
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a1fb602
    group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
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                                                 * EC_GROUP_new_curve_GFp so
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                                                 * that the library gets to
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                                                 * choose the EC_METHOD */
a1fb602
    if (!group)
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        ABORT;
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a1fb602
    P = EC_POINT_new(group);
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    Q = EC_POINT_new(group);
a1fb602
    R = EC_POINT_new(group);
a1fb602
    if (!P || !Q || !R)
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        ABORT;
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a1fb602
    x = BN_new();
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    y = BN_new();
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    z = BN_new();
510bcc2
    yplusone = BN_new();
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    if (x == NULL || y == NULL || z == NULL || yplusone == NULL)
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        ABORT;
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e443a79
    /* Curve P-224 (FIPS PUB 186-2, App. 6) */
e443a79
e443a79
    if (!BN_hex2bn
e443a79
        (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
e443a79
        ABORT;
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    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
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        ABORT;
e443a79
    if (!BN_hex2bn
e443a79
        (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
e443a79
        ABORT;
e443a79
    if (!BN_hex2bn
e443a79
        (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
e443a79
        ABORT;
e443a79
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
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        ABORT;
e443a79
e443a79
    if (!BN_hex2bn
e443a79
        (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
e443a79
        ABORT;
e443a79
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
e443a79
        ABORT;
e443a79
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
e443a79
        ABORT;
e443a79
    if (!BN_hex2bn
e443a79
        (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
e443a79
        ABORT;
e443a79
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
e443a79
        ABORT;
e443a79
e443a79
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
e443a79
        ABORT;
e443a79
    fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
e443a79
    BN_print_fp(stdout, x);
e443a79
    fprintf(stdout, "\n     y = 0x");
e443a79
    BN_print_fp(stdout, y);
e443a79
    fprintf(stdout, "\n");
e443a79
    /* G_y value taken from the standard: */
e443a79
    if (!BN_hex2bn
e443a79
        (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
e443a79
        ABORT;
e443a79
    if (0 != BN_cmp(y, z))
e443a79
        ABORT;
e443a79
e443a79
    if (!BN_add(yplusone, y, BN_value_one()))
e443a79
        ABORT;
e443a79
    /*
e443a79
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
e443a79
     * and therefore setting the coordinates should fail.
e443a79
     */
e443a79
    if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
e443a79
        ABORT;
e443a79
e443a79
    fprintf(stdout, "verify degree ...");
e443a79
    if (EC_GROUP_get_degree(group) != 224)
e443a79
        ABORT;
e443a79
    fprintf(stdout, " ok\n");
e443a79
e443a79
    group_order_tests(group);
e443a79
e443a79
    if ((P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
e443a79
        ABORT;
e443a79
    if (!EC_GROUP_copy(P_224, group))
e443a79
        ABORT;
e443a79
a1fb602
    /* Curve P-256 (FIPS PUB 186-2, App. 6) */
a1fb602
a1fb602
    if (!BN_hex2bn
a1fb602
        (&p,
a1fb602
         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
a1fb602
        ABORT;
a1fb602
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn
a1fb602
        (&a,
a1fb602
         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn
a1fb602
        (&b,
a1fb602
         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!BN_hex2bn
a1fb602
        (&x,
a1fb602
         "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
a1fb602
        ABORT;
837dd04
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
a1fb602
                   "84F3B9CAC2FC632551"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
a1fb602
    BN_print_fp(stdout, x);
a1fb602
    fprintf(stdout, "\n     y = 0x");
a1fb602
    BN_print_fp(stdout, y);
a1fb602
    fprintf(stdout, "\n");
a1fb602
    /* G_y value taken from the standard: */
a1fb602
    if (!BN_hex2bn
a1fb602
        (&z,
a1fb602
         "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
a1fb602
        ABORT;
a1fb602
    if (0 != BN_cmp(y, z))
a1fb602
        ABORT;
a1fb602
510bcc2
    if (!BN_add(yplusone, y, BN_value_one()))
510bcc2
        ABORT;
510bcc2
    /*
510bcc2
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
510bcc2
     * and therefore setting the coordinates should fail.
510bcc2
     */
510bcc2
    if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
510bcc2
        ABORT;
510bcc2
a1fb602
    fprintf(stdout, "verify degree ...");
a1fb602
    if (EC_GROUP_get_degree(group) != 256)
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, " ok\n");
a1fb602
a1fb602
    group_order_tests(group);
a1fb602
510bcc2
    if ((P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_copy(P_256, group))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* Curve P-384 (FIPS PUB 186-2, App. 6) */
a1fb602
a1fb602
    if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
a1fb602
        ABORT;
a1fb602
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
a1fb602
                   "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
a1fb602
                   "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
a1fb602
        ABORT;
837dd04
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
a1fb602
    BN_print_fp(stdout, x);
a1fb602
    fprintf(stdout, "\n     y = 0x");
a1fb602
    BN_print_fp(stdout, y);
a1fb602
    fprintf(stdout, "\n");
a1fb602
    /* G_y value taken from the standard: */
a1fb602
    if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
a1fb602
                   "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
a1fb602
        ABORT;
a1fb602
    if (0 != BN_cmp(y, z))
a1fb602
        ABORT;
a1fb602
510bcc2
    if (!BN_add(yplusone, y, BN_value_one()))
510bcc2
        ABORT;
510bcc2
    /*
510bcc2
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
510bcc2
     * and therefore setting the coordinates should fail.
510bcc2
     */
510bcc2
    if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
510bcc2
        ABORT;
510bcc2
a1fb602
    fprintf(stdout, "verify degree ...");
a1fb602
    if (EC_GROUP_get_degree(group) != 384)
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, " ok\n");
a1fb602
a1fb602
    group_order_tests(group);
a1fb602
510bcc2
    if ((P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_copy(P_384, group))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* Curve P-521 (FIPS PUB 186-2, App. 6) */
a1fb602
a1fb602
    if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
a1fb602
        ABORT;
a1fb602
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
a1fb602
                   "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
a1fb602
                   "DF883D2C34F1EF451FD46B503F00"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
a1fb602
                   "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
a1fb602
                   "3C1856A429BF97E7E31C2E5BD66"))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
a1fb602
        ABORT;
837dd04
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
a1fb602
                   "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
a1fb602
                   "C9B8899C47AEBB6FB71E91386409"))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
a1fb602
        ABORT;
a1fb602
a1fb602
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
a1fb602
    BN_print_fp(stdout, x);
a1fb602
    fprintf(stdout, "\n     y = 0x");
a1fb602
    BN_print_fp(stdout, y);
a1fb602
    fprintf(stdout, "\n");
a1fb602
    /* G_y value taken from the standard: */
a1fb602
    if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
a1fb602
                   "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
a1fb602
                   "7086A272C24088BE94769FD16650"))
a1fb602
        ABORT;
a1fb602
    if (0 != BN_cmp(y, z))
a1fb602
        ABORT;
a1fb602
510bcc2
    if (!BN_add(yplusone, y, BN_value_one()))
510bcc2
        ABORT;
510bcc2
    /*
510bcc2
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
510bcc2
     * and therefore setting the coordinates should fail.
510bcc2
     */
510bcc2
    if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
510bcc2
        ABORT;
510bcc2
a1fb602
    fprintf(stdout, "verify degree ...");
a1fb602
    if (EC_GROUP_get_degree(group) != 521)
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, " ok\n");
a1fb602
a1fb602
    group_order_tests(group);
a1fb602
510bcc2
    if ((P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) == NULL)
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_copy(P_521, group))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* more tests using the last curve */
a1fb602
510bcc2
    /* Restore the point that got mangled in the (x, y + 1) test. */
510bcc2
    if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
510bcc2
        ABORT;
510bcc2
a1fb602
    if (!EC_POINT_copy(Q, P))
a1fb602
        ABORT;
a1fb602
    if (EC_POINT_is_at_infinity(group, Q))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_dbl(group, P, P, ctx))
a1fb602
        ABORT;
837dd04
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_invert(group, Q, ctx))
a1fb602
        ABORT;                  /* P = -2Q */
a1fb602
a1fb602
    if (!EC_POINT_add(group, R, P, Q, ctx))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_add(group, R, R, Q, ctx))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_is_at_infinity(group, R))
a1fb602
        ABORT;                  /* R = P + 2Q */
a1fb602
a1fb602
    {
a1fb602
        const EC_POINT *points[4];
a1fb602
        const BIGNUM *scalars[4];
510bcc2
        BIGNUM *scalar3;
a1fb602
a1fb602
        if (EC_POINT_is_at_infinity(group, Q))
a1fb602
            ABORT;
a1fb602
        points[0] = Q;
a1fb602
        points[1] = Q;
a1fb602
        points[2] = Q;
a1fb602
        points[3] = Q;
a1fb602
a1fb602
        if (!EC_GROUP_get_order(group, z, ctx))
a1fb602
            ABORT;
a1fb602
        if (!BN_add(y, z, BN_value_one()))
a1fb602
            ABORT;
a1fb602
        if (BN_is_odd(y))
a1fb602
            ABORT;
a1fb602
        if (!BN_rshift1(y, y))
a1fb602
            ABORT;
a1fb602
        scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
a1fb602
        scalars[1] = y;
a1fb602
a1fb602
        fprintf(stdout, "combined multiplication ...");
a1fb602
        fflush(stdout);
a1fb602
a1fb602
        /* z is still the group order */
a1fb602
        if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
a1fb602
            ABORT;
a1fb602
        if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
a1fb602
            ABORT;
a1fb602
        if (0 != EC_POINT_cmp(group, P, R, ctx))
a1fb602
            ABORT;
a1fb602
        if (0 != EC_POINT_cmp(group, R, Q, ctx))
a1fb602
            ABORT;
a1fb602
a1fb602
        fprintf(stdout, ".");
a1fb602
        fflush(stdout);
a1fb602
a1fb602
        if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
a1fb602
            ABORT;
a1fb602
        if (!BN_add(z, z, y))
a1fb602
            ABORT;
a1fb602
        BN_set_negative(z, 1);
a1fb602
        scalars[0] = y;
a1fb602
        scalars[1] = z;         /* z = -(order + y) */
a1fb602
a1fb602
        if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
a1fb602
            ABORT;
a1fb602
        if (!EC_POINT_is_at_infinity(group, P))
a1fb602
            ABORT;
a1fb602
a1fb602
        fprintf(stdout, ".");
a1fb602
        fflush(stdout);
a1fb602
a1fb602
        if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
a1fb602
            ABORT;
a1fb602
        if (!BN_add(z, x, y))
a1fb602
            ABORT;
a1fb602
        BN_set_negative(z, 1);
a1fb602
        scalars[0] = x;
a1fb602
        scalars[1] = y;
a1fb602
        scalars[2] = z;         /* z = -(x+y) */
a1fb602
510bcc2
        scalar3 = BN_new();
510bcc2
        if (!scalar3)
510bcc2
            ABORT;
510bcc2
        BN_zero(scalar3);
510bcc2
        scalars[3] = scalar3;
a1fb602
a1fb602
        if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
a1fb602
            ABORT;
a1fb602
        if (!EC_POINT_is_at_infinity(group, P))
a1fb602
            ABORT;
a1fb602
a1fb602
        fprintf(stdout, " ok\n\n");
a1fb602
510bcc2
        BN_free(scalar3);
a1fb602
    }
a1fb602
510bcc2
    BN_CTX_free(ctx);
a1fb602
    BN_free(p);
a1fb602
    BN_free(a);
a1fb602
    BN_free(b);
a1fb602
    EC_GROUP_free(group);
a1fb602
    EC_POINT_free(P);
a1fb602
    EC_POINT_free(Q);
a1fb602
    EC_POINT_free(R);
a1fb602
    BN_free(x);
a1fb602
    BN_free(y);
a1fb602
    BN_free(z);
510bcc2
    BN_free(yplusone);
a1fb602
e443a79
    EC_GROUP_free(P_224);
510bcc2
    EC_GROUP_free(P_256);
510bcc2
    EC_GROUP_free(P_384);
510bcc2
    EC_GROUP_free(P_521);
a1fb602
a1fb602
}
b355146
b355146
static void internal_curve_test(void)
a1fb602
{
a1fb602
    EC_builtin_curve *curves = NULL;
a1fb602
    size_t crv_len = 0, n = 0;
a1fb602
    int ok = 1;
a1fb602
a1fb602
    crv_len = EC_get_builtin_curves(NULL, 0);
510bcc2
    curves = OPENSSL_malloc(sizeof(*curves) * crv_len);
a1fb602
    if (curves == NULL)
a1fb602
        return;
a1fb602
a1fb602
    if (!EC_get_builtin_curves(curves, crv_len)) {
a1fb602
        OPENSSL_free(curves);
a1fb602
        return;
a1fb602
    }
a1fb602
a1fb602
    fprintf(stdout, "testing internal curves: ");
a1fb602
a1fb602
    for (n = 0; n < crv_len; n++) {
a1fb602
        EC_GROUP *group = NULL;
a1fb602
        int nid = curves[n].nid;
a1fb602
        if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
a1fb602
            ok = 0;
a1fb602
            fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
a1fb602
                    " curve %s\n", OBJ_nid2sn(nid));
a1fb602
            /* try next curve */
a1fb602
            continue;
a1fb602
        }
a1fb602
        if (!EC_GROUP_check(group, NULL)) {
a1fb602
            ok = 0;
a1fb602
            fprintf(stdout, "\nEC_GROUP_check() failed with"
a1fb602
                    " curve %s\n", OBJ_nid2sn(nid));
a1fb602
            EC_GROUP_free(group);
a1fb602
            /* try the next curve */
a1fb602
            continue;
a1fb602
        }
a1fb602
        fprintf(stdout, ".");
a1fb602
        fflush(stdout);
a1fb602
        EC_GROUP_free(group);
a1fb602
    }
a1fb602
    if (ok)
a1fb602
        fprintf(stdout, " ok\n\n");
a1fb602
    else {
a1fb602
        fprintf(stdout, " failed\n\n");
a1fb602
        ABORT;
a1fb602
    }
510bcc2
510bcc2
    /* Test all built-in curves and let the library choose the EC_METHOD */
510bcc2
    for (n = 0; n < crv_len; n++) {
510bcc2
        EC_GROUP *group = NULL;
510bcc2
        int nid = curves[n].nid;
510bcc2
        /*
510bcc2
         * Skip for X25519 because low level operations such as EC_POINT_mul()
510bcc2
         * are not supported for this curve
510bcc2
         */
510bcc2
        if (nid == NID_X25519)
510bcc2
            continue;
510bcc2
        fprintf(stdout, "%s:\n", OBJ_nid2sn(nid));
510bcc2
        fflush(stdout);
510bcc2
        if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
510bcc2
            ABORT;
510bcc2
        }
510bcc2
        group_order_tests(group);
510bcc2
        EC_GROUP_free(group);
510bcc2
    }
510bcc2
a1fb602
    OPENSSL_free(curves);
a1fb602
    return;
a1fb602
}
a1fb602
a1fb602
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
a1fb602
/*
a1fb602
 * nistp_test_params contains magic numbers for testing our optimized
a1fb602
 * implementations of several NIST curves with characteristic > 3.
a1fb602
 */
a1fb602
struct nistp_test_params {
a1fb602
    const EC_METHOD *(*meth) ();
a1fb602
    int degree;
a1fb602
    /*
a1fb602
     * Qx, Qy and D are taken from
e7a0ff5
     * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
a1fb602
     * Otherwise, values are standard curve parameters from FIPS 180-3
a1fb602
     */
a1fb602
    const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
a1fb602
};
a1fb602
a1fb602
static const struct nistp_test_params nistp_tests_params[] = {
a1fb602
    {
a1fb602
     /* P-256 */
a1fb602
     EC_GFp_nistp256_method,
a1fb602
     256,
a1fb602
     /* p */
a1fb602
     "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
a1fb602
     /* a */
a1fb602
     "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
a1fb602
     /* b */
a1fb602
     "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
a1fb602
     /* Qx */
a1fb602
     "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
a1fb602
     /* Qy */
a1fb602
     "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
a1fb602
     /* Gx */
a1fb602
     "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
a1fb602
     /* Gy */
a1fb602
     "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
a1fb602
     /* order */
a1fb602
     "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
a1fb602
     /* d */
a1fb602
     "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
a1fb602
     },
a1fb602
    {
a1fb602
     /* P-521 */
a1fb602
     EC_GFp_nistp521_method,
a1fb602
     521,
a1fb602
     /* p */
a1fb602
     "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
a1fb602
     /* a */
a1fb602
     "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
a1fb602
     /* b */
a1fb602
     "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
a1fb602
     /* Qx */
a1fb602
     "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
a1fb602
     /* Qy */
a1fb602
     "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
a1fb602
     /* Gx */
a1fb602
     "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
a1fb602
     /* Gy */
a1fb602
     "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
a1fb602
     /* order */
a1fb602
     "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
a1fb602
     /* d */
a1fb602
     "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
a1fb602
     },
a1fb602
};
a1fb602
a1fb602
static void nistp_single_test(const struct nistp_test_params *test)
a1fb602
{
a1fb602
    BN_CTX *ctx;
510bcc2
    BIGNUM *p, *a, *b, *x, *y, *n, *m, *order, *yplusone;
a1fb602
    EC_GROUP *NISTP;
a1fb602
    EC_POINT *G, *P, *Q, *Q_CHECK;
a1fb602
a1fb602
    fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
a1fb602
            test->degree);
a1fb602
    ctx = BN_CTX_new();
a1fb602
    p = BN_new();
a1fb602
    a = BN_new();
a1fb602
    b = BN_new();
a1fb602
    x = BN_new();
a1fb602
    y = BN_new();
a1fb602
    m = BN_new();
a1fb602
    n = BN_new();
a1fb602
    order = BN_new();
510bcc2
    yplusone = BN_new();
a1fb602
a1fb602
    NISTP = EC_GROUP_new(test->meth());
a1fb602
    if (!NISTP)
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&p, test->p))
a1fb602
        ABORT;
a1fb602
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&a, test->a))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&b, test->b))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
a1fb602
        ABORT;
a1fb602
    G = EC_POINT_new(NISTP);
a1fb602
    P = EC_POINT_new(NISTP);
a1fb602
    Q = EC_POINT_new(NISTP);
a1fb602
    Q_CHECK = EC_POINT_new(NISTP);
a1fb602
    if (!BN_hex2bn(&x, test->Qx))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&y, test->Qy))
a1fb602
        ABORT;
510bcc2
    if (!BN_add(yplusone, y, BN_value_one()))
510bcc2
        ABORT;
510bcc2
    /*
510bcc2
     * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
510bcc2
     * and therefore setting the coordinates should fail.
510bcc2
     */
510bcc2
    if (EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, yplusone, ctx))
510bcc2
        ABORT;
a1fb602
    if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&x, test->Gx))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&y, test->Gy))
a1fb602
        ABORT;
a1fb602
    if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
a1fb602
        ABORT;
a1fb602
    if (!BN_hex2bn(&order, test->order))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
a1fb602
        ABORT;
a1fb602
a1fb602
    fprintf(stdout, "verify degree ... ");
a1fb602
    if (EC_GROUP_get_degree(NISTP) != test->degree)
a1fb602
        ABORT;
a1fb602
    fprintf(stdout, "ok\n");
a1fb602
a1fb602
    fprintf(stdout, "NIST test vectors ... ");
a1fb602
    if (!BN_hex2bn(&n, test->d))
a1fb602
        ABORT;
a1fb602
    /* fixed point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
    /* random point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* set generator to P = 2*G, where G is the standard generator */
a1fb602
    if (!EC_POINT_dbl(NISTP, P, G, ctx))
a1fb602
        ABORT;
a1fb602
    if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
a1fb602
        ABORT;
a1fb602
    /* set the scalar to m=n/2, where n is the NIST test scalar */
a1fb602
    if (!BN_rshift(m, n, 1))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* test the non-standard generator */
a1fb602
    /* fixed point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
    /* random point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
e7a0ff5
    /*
e7a0ff5
     * We have not performed precomputation so have_precompute mult should be
e7a0ff5
     * false
e7a0ff5
     */
e7a0ff5
    if (EC_GROUP_have_precompute_mult(NISTP))
e7a0ff5
        ABORT;
e7a0ff5
a1fb602
    /* now repeat all tests with precomputation */
a1fb602
    if (!EC_GROUP_precompute_mult(NISTP, ctx))
a1fb602
        ABORT;
e7a0ff5
    if (!EC_GROUP_have_precompute_mult(NISTP))
e7a0ff5
        ABORT;
a1fb602
a1fb602
    /* fixed point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
    /* random point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    /* reset generator */
a1fb602
    if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
a1fb602
        ABORT;
a1fb602
    /* fixed point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
    /* random point multiplication */
a1fb602
    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
a1fb602
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
a1fb602
        ABORT;
a1fb602
a1fb602
    fprintf(stdout, "ok\n");
a1fb602
    group_order_tests(NISTP);
a1fb602
    EC_GROUP_free(NISTP);
a1fb602
    EC_POINT_free(G);
a1fb602
    EC_POINT_free(P);
a1fb602
    EC_POINT_free(Q);
a1fb602
    EC_POINT_free(Q_CHECK);
a1fb602
    BN_free(n);
a1fb602
    BN_free(m);
a1fb602
    BN_free(p);
a1fb602
    BN_free(a);
a1fb602
    BN_free(b);
a1fb602
    BN_free(x);
a1fb602
    BN_free(y);
a1fb602
    BN_free(order);
510bcc2
    BN_free(yplusone);
a1fb602
    BN_CTX_free(ctx);
a1fb602
}
a1fb602
a1fb602
static void nistp_tests()
a1fb602
{
a1fb602
    unsigned i;
a1fb602
510bcc2
    for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
a1fb602
        nistp_single_test(&nistp_tests_params[i]);
a1fb602
    }
a1fb602
}
a1fb602
# endif
a1fb602
510bcc2
static void parameter_test(void)
510bcc2
{
510bcc2
    EC_GROUP *group, *group2;
510bcc2
    ECPARAMETERS *ecparameters;
510bcc2
510bcc2
    fprintf(stderr, "\ntesting ecparameters conversion ...");
510bcc2
510bcc2
    group = EC_GROUP_new_by_curve_name(NID_secp384r1);
510bcc2
    if (!group)
510bcc2
        ABORT;
510bcc2
510bcc2
    ecparameters = EC_GROUP_get_ecparameters(group, NULL);
510bcc2
    if (!ecparameters)
510bcc2
        ABORT;
510bcc2
    group2 = EC_GROUP_new_from_ecparameters(ecparameters);
510bcc2
    if (!group2)
510bcc2
        ABORT;
510bcc2
    if (EC_GROUP_cmp(group, group2, NULL))
510bcc2
        ABORT;
510bcc2
510bcc2
    fprintf(stderr, " ok\n");
510bcc2
510bcc2
    EC_GROUP_free(group);
510bcc2
    EC_GROUP_free(group2);
510bcc2
    ECPARAMETERS_free(ecparameters);
510bcc2
}
510bcc2
a1fb602
static const char rnd_seed[] =
a1fb602
    "string to make the random number generator think it has entropy";
b355146
b355146
int main(int argc, char *argv[])
a1fb602
{
510bcc2
    char *p;
a1fb602
510bcc2
    p = getenv("OPENSSL_DEBUG_MEMORY");
510bcc2
    if (p != NULL && strcmp(p, "on") == 0)
510bcc2
        CRYPTO_set_mem_debug(1);
a1fb602
    CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
a1fb602
6eb8f62
    RAND_seed(rnd_seed, sizeof(rnd_seed)); /* or BN_generate_prime may fail */
a1fb602
a1fb602
    prime_field_tests();
a1fb602
    puts("");
a1fb602
# ifndef OPENSSL_NO_EC2M
a1fb602
    char2_field_tests();
a1fb602
# endif
a1fb602
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
a1fb602
    nistp_tests();
a1fb602
# endif
a1fb602
    /* test the internal curves */
a1fb602
    internal_curve_test();
a1fb602
510bcc2
    parameter_test();
510bcc2
510bcc2
#ifndef OPENSSL_NO_CRYPTO_MDEBUG
510bcc2
    if (CRYPTO_mem_leaks_fp(stderr) <= 0)
510bcc2
        return 1;
510bcc2
#endif
a1fb602
a1fb602
    return 0;
a1fb602
}
b355146
#endif