crypto/srp/srp_lib.c

/*
 * Written by Christophe Renou (christophe.renou@edelweb.fr) with the
 * precious help of Peter Sylvester (peter.sylvester@edelweb.fr) for the
 * EdelKey project and contributed to the OpenSSL project 2004.
 */
/* ====================================================================
 * Copyright (c) 2004 The OpenSSL Project.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in
 *    the documentation and/or other materials provided with the
 *    distribution.
 *
 * 3. All advertising materials mentioning features or use of this
 *    software must display the following acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
 *
 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
 *    endorse or promote products derived from this software without
 *    prior written permission. For written permission, please contact
 *    licensing@OpenSSL.org.
 *
 * 5. Products derived from this software may not be called "OpenSSL"
 *    nor may "OpenSSL" appear in their names without prior written
 *    permission of the OpenSSL Project.
 *
 * 6. Redistributions of any form whatsoever must retain the following
 *    acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
 *
 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
 * OF THE POSSIBILITY OF SUCH DAMAGE.
 * ====================================================================
 *
 * This product includes cryptographic software written by Eric Young
 * (eay@cryptsoft.com).  This product includes software written by Tim
 * Hudson (tjh@cryptsoft.com).
 *
 */
#ifndef OPENSSL_NO_SRP
# include "internal/cryptlib.h"
# include <openssl/sha.h>
# include <openssl/srp.h>
# include <openssl/evp.h>
# include "internal/bn_srp.h"

static BIGNUM *srp_Calc_k(BIGNUM *N, BIGNUM *g)
{
    /* k = SHA1(N | PAD(g)) -- tls-srp draft 8 */

    unsigned char digest[SHA_DIGEST_LENGTH];
    unsigned char *tmp;
    EVP_MD_CTX *ctxt = NULL;
    int longg;
    int longN = BN_num_bytes(N);
    BIGNUM *res = NULL;

    if (BN_ucmp(g, N) >= 0)
        return NULL;

    ctxt = EVP_MD_CTX_new();
    if (ctxt == NULL)
        return NULL;
    if ((tmp = OPENSSL_malloc(longN)) == NULL)
        goto err;
    BN_bn2bin(N, tmp);

    EVP_DigestInit_ex(ctxt, EVP_sha1(), NULL);
    EVP_DigestUpdate(ctxt, tmp, longN);

    memset(tmp, 0, longN);
    longg = BN_bn2bin(g, tmp);
    /* use the zeros behind to pad on left */
    EVP_DigestUpdate(ctxt, tmp + longg, longN - longg);
    EVP_DigestUpdate(ctxt, tmp, longg);
    OPENSSL_free(tmp);

    EVP_DigestFinal_ex(ctxt, digest, NULL);
    res = BN_bin2bn(digest, sizeof(digest), NULL);
 err:
    EVP_MD_CTX_free(ctxt);
    return res;
}

BIGNUM *SRP_Calc_u(BIGNUM *A, BIGNUM *B, BIGNUM *N)
{
    /* k = SHA1(PAD(A) || PAD(B) ) -- tls-srp draft 8 */

    BIGNUM *u = NULL;
    unsigned char cu[SHA_DIGEST_LENGTH];
    unsigned char *cAB = NULL;
    EVP_MD_CTX *ctxt = NULL;
    int longN;
    if ((A == NULL) || (B == NULL) || (N == NULL))
        return NULL;

    if (BN_ucmp(A, N) >= 0 || BN_ucmp(B, N) >= 0)
        return NULL;

    longN = BN_num_bytes(N);

    ctxt = EVP_MD_CTX_new();
    if (ctxt == NULL)
        return NULL;
    if ((cAB = OPENSSL_malloc(2 * longN)) == NULL)
        goto err;

    memset(cAB, 0, longN);

    EVP_DigestInit_ex(ctxt, EVP_sha1(), NULL);
    EVP_DigestUpdate(ctxt, cAB + BN_bn2bin(A, cAB + longN), longN);
    EVP_DigestUpdate(ctxt, cAB + BN_bn2bin(B, cAB + longN), longN);
    OPENSSL_free(cAB);
    EVP_DigestFinal_ex(ctxt, cu, NULL);

    if ((u = BN_bin2bn(cu, sizeof(cu), NULL)) == NULL)
        goto err;
    if (BN_is_zero(u)) {
        BN_free(u);
        u = NULL;
    }
 err:
    EVP_MD_CTX_free(ctxt);

    return u;
}

BIGNUM *SRP_Calc_server_key(BIGNUM *A, BIGNUM *v, BIGNUM *u, BIGNUM *b,
                            BIGNUM *N)
{
    BIGNUM *tmp = NULL, *S = NULL;
    BN_CTX *bn_ctx;

    if (u == NULL || A == NULL || v == NULL || b == NULL || N == NULL)
        return NULL;

    if ((bn_ctx = BN_CTX_new()) == NULL ||
        (tmp = BN_new()) == NULL || (S = BN_new()) == NULL)
        goto err;

    /* S = (A*v**u) ** b */

    if (!BN_mod_exp(tmp, v, u, N, bn_ctx))
        goto err;
    if (!BN_mod_mul(tmp, A, tmp, N, bn_ctx))
        goto err;
    if (!BN_mod_exp(S, tmp, b, N, bn_ctx))
        goto err;
 err:
    BN_CTX_free(bn_ctx);
    BN_clear_free(tmp);
    return S;
}

BIGNUM *SRP_Calc_B(BIGNUM *b, BIGNUM *N, BIGNUM *g, BIGNUM *v)
{
    BIGNUM *kv = NULL, *gb = NULL;
    BIGNUM *B = NULL, *k = NULL;
    BN_CTX *bn_ctx;

    if (b == NULL || N == NULL || g == NULL || v == NULL ||
        (bn_ctx = BN_CTX_new()) == NULL)
        return NULL;

    if ((kv = BN_new()) == NULL ||
        (gb = BN_new()) == NULL || (B = BN_new()) == NULL)
        goto err;

    /* B = g**b + k*v */

    if (!BN_mod_exp(gb, g, b, N, bn_ctx)
        || (k = srp_Calc_k(N, g)) == NULL
        || !BN_mod_mul(kv, v, k, N, bn_ctx)
        || !BN_mod_add(B, gb, kv, N, bn_ctx)) {
        BN_free(B);
        B = NULL;
    }
 err:
    BN_CTX_free(bn_ctx);
    BN_clear_free(kv);
    BN_clear_free(gb);
    BN_free(k);
    return B;
}

BIGNUM *SRP_Calc_x(BIGNUM *s, const char *user, const char *pass)
{
    unsigned char dig[SHA_DIGEST_LENGTH];
    EVP_MD_CTX *ctxt;
    unsigned char *cs;
    BIGNUM *res = NULL;

    if ((s == NULL) || (user == NULL) || (pass == NULL))
        return NULL;

    ctxt = EVP_MD_CTX_new();
    if (ctxt == NULL)
        return NULL;
    if ((cs = OPENSSL_malloc(BN_num_bytes(s))) == NULL)
        goto err;

    EVP_DigestInit_ex(ctxt, EVP_sha1(), NULL);
    EVP_DigestUpdate(ctxt, user, strlen(user));
    EVP_DigestUpdate(ctxt, ":", 1);
    EVP_DigestUpdate(ctxt, pass, strlen(pass));
    EVP_DigestFinal_ex(ctxt, dig, NULL);

    EVP_DigestInit_ex(ctxt, EVP_sha1(), NULL);
    BN_bn2bin(s, cs);
    EVP_DigestUpdate(ctxt, cs, BN_num_bytes(s));
    OPENSSL_free(cs);
    EVP_DigestUpdate(ctxt, dig, sizeof(dig));
    EVP_DigestFinal_ex(ctxt, dig, NULL);

    res = BN_bin2bn(dig, sizeof(dig), NULL);
 err:
    EVP_MD_CTX_free(ctxt);
    return res;
}

BIGNUM *SRP_Calc_A(BIGNUM *a, BIGNUM *N, BIGNUM *g)
{
    BN_CTX *bn_ctx;
    BIGNUM *A = NULL;

    if (a == NULL || N == NULL || g == NULL || (bn_ctx = BN_CTX_new()) == NULL)
        return NULL;

    if ((A = BN_new()) != NULL && !BN_mod_exp(A, g, a, N, bn_ctx)) {
        BN_free(A);
        A = NULL;
    }
    BN_CTX_free(bn_ctx);
    return A;
}

BIGNUM *SRP_Calc_client_key(BIGNUM *N, BIGNUM *B, BIGNUM *g, BIGNUM *x,
                            BIGNUM *a, BIGNUM *u)
{
    BIGNUM *tmp = NULL, *tmp2 = NULL, *tmp3 = NULL, *k = NULL, *K = NULL;
    BN_CTX *bn_ctx;

    if (u == NULL || B == NULL || N == NULL || g == NULL || x == NULL
        || a == NULL || (bn_ctx = BN_CTX_new()) == NULL)
        return NULL;

    if ((tmp = BN_new()) == NULL ||
        (tmp2 = BN_new()) == NULL ||
        (tmp3 = BN_new()) == NULL ||
        (K = BN_new()) == NULL)
        goto err;

    if (!BN_mod_exp(tmp, g, x, N, bn_ctx))
        goto err;
    if ((k = srp_Calc_k(N, g)) == NULL)
        goto err;
    if (!BN_mod_mul(tmp2, tmp, k, N, bn_ctx))
        goto err;
    if (!BN_mod_sub(tmp, B, tmp2, N, bn_ctx))
        goto err;
    if (!BN_mod_mul(tmp3, u, x, N, bn_ctx))
        goto err;
    if (!BN_mod_add(tmp2, a, tmp3, N, bn_ctx))
        goto err;
    if (!BN_mod_exp(K, tmp, tmp2, N, bn_ctx))
        goto err;

 err:
    BN_CTX_free(bn_ctx);
    BN_clear_free(tmp);
    BN_clear_free(tmp2);
    BN_clear_free(tmp3);
    BN_free(k);
    return K;
}

int SRP_Verify_B_mod_N(BIGNUM *B, BIGNUM *N)
{
    BIGNUM *r;
    BN_CTX *bn_ctx;
    int ret = 0;

    if (B == NULL || N == NULL || (bn_ctx = BN_CTX_new()) == NULL)
        return 0;

    if ((r = BN_new()) == NULL)
        goto err;
    /* Checks if B % N == 0 */
    if (!BN_nnmod(r, B, N, bn_ctx))
        goto err;
    ret = !BN_is_zero(r);
 err:
    BN_CTX_free(bn_ctx);
    BN_free(r);
    return ret;
}

int SRP_Verify_A_mod_N(BIGNUM *A, BIGNUM *N)
{
    /* Checks if A % N == 0 */
    return SRP_Verify_B_mod_N(A, N);
}

static SRP_gN knowngN[] = {
    {"8192", (BIGNUM *)&bn_generator_19, (BIGNUM *)&bn_group_8192},
    {"6144", (BIGNUM *)&bn_generator_5, (BIGNUM *)&bn_group_6144},
    {"4096", (BIGNUM *)&bn_generator_5, (BIGNUM *)&bn_group_4096},
    {"3072", (BIGNUM *)&bn_generator_5, (BIGNUM *)&bn_group_3072},
    {"2048", (BIGNUM *)&bn_generator_2, (BIGNUM *)&bn_group_2048},
    {"1536", (BIGNUM *)&bn_generator_2, (BIGNUM *)&bn_group_1536},
    {"1024", (BIGNUM *)&bn_generator_2, (BIGNUM *)&bn_group_1024},
};

# define KNOWN_GN_NUMBER sizeof(knowngN) / sizeof(SRP_gN)

/*
 * Check if G and N are kwown parameters. The values have been generated
 * from the ietf-tls-srp draft version 8
 */
char *SRP_check_known_gN_param(BIGNUM *g, BIGNUM *N)
{
    size_t i;
    if ((g == NULL) || (N == NULL))
        return 0;

    for (i = 0; i < KNOWN_GN_NUMBER; i++) {
        if (BN_cmp(knowngN[i].g, g) == 0 && BN_cmp(knowngN[i].N, N) == 0)
            return knowngN[i].id;
    }
    return NULL;
}

SRP_gN *SRP_get_default_gN(const char *id)
{
    size_t i;

    if (id == NULL)
        return knowngN;
    for (i = 0; i < KNOWN_GN_NUMBER; i++) {
        if (strcmp(knowngN[i].id, id) == 0)
            return knowngN + i;
    }
    return NULL;
}
#endif