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      1 /* crypto/srp/srp_lib.c */
      2 /* Written by Christophe Renou (christophe.renou (at) edelweb.fr) with
      3  * the precious help of Peter Sylvester (peter.sylvester (at) edelweb.fr)
      4  * for the EdelKey project and contributed to the OpenSSL project 2004.
      5  */
      6 /* ====================================================================
      7  * Copyright (c) 2004 The OpenSSL Project.  All rights reserved.
      8  *
      9  * Redistribution and use in source and binary forms, with or without
     10  * modification, are permitted provided that the following conditions
     11  * are met:
     12  *
     13  * 1. Redistributions of source code must retain the above copyright
     14  *    notice, this list of conditions and the following disclaimer.
     15  *
     16  * 2. Redistributions in binary form must reproduce the above copyright
     17  *    notice, this list of conditions and the following disclaimer in
     18  *    the documentation and/or other materials provided with the
     19  *    distribution.
     20  *
     21  * 3. All advertising materials mentioning features or use of this
     22  *    software must display the following acknowledgment:
     23  *    "This product includes software developed by the OpenSSL Project
     24  *    for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
     25  *
     26  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
     27  *    endorse or promote products derived from this software without
     28  *    prior written permission. For written permission, please contact
     29  *    licensing (at) OpenSSL.org.
     30  *
     31  * 5. Products derived from this software may not be called "OpenSSL"
     32  *    nor may "OpenSSL" appear in their names without prior written
     33  *    permission of the OpenSSL Project.
     34  *
     35  * 6. Redistributions of any form whatsoever must retain the following
     36  *    acknowledgment:
     37  *    "This product includes software developed by the OpenSSL Project
     38  *    for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
     39  *
     40  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
     41  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     42  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     43  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
     44  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     45  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
     46  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
     47  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     48  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
     49  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     50  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
     51  * OF THE POSSIBILITY OF SUCH DAMAGE.
     52  * ====================================================================
     53  *
     54  * This product includes cryptographic software written by Eric Young
     55  * (eay (at) cryptsoft.com).  This product includes software written by Tim
     56  * Hudson (tjh (at) cryptsoft.com).
     57  *
     58  */
     59 #ifndef OPENSSL_NO_SRP
     60 #include "cryptlib.h"
     61 #include "srp_lcl.h"
     62 #include <openssl/srp.h>
     63 #include <openssl/evp.h>
     64 
     65 #if (BN_BYTES == 8)
     66 #define bn_pack4(a1,a2,a3,a4) 0x##a1##a2##a3##a4##ul
     67 #endif
     68 #if (BN_BYTES == 4)
     69 #define bn_pack4(a1,a2,a3,a4)  0x##a3##a4##ul, 0x##a1##a2##ul
     70 #endif
     71 #if (BN_BYTES == 2)
     72 #define bn_pack4(a1,a2,a3,a4) 0x##a4##u,0x##a3##u,0x##a2##u,0x##a1##u
     73 #endif
     74 
     75 
     76 #include "srp_grps.h"
     77 
     78 static BIGNUM *srp_Calc_k(BIGNUM *N, BIGNUM *g)
     79 	{
     80 	/* k = SHA1(N | PAD(g)) -- tls-srp draft 8 */
     81 
     82 	unsigned char digest[SHA_DIGEST_LENGTH];
     83 	unsigned char *tmp;
     84 	EVP_MD_CTX ctxt;
     85 	int longg ;
     86 	int longN = BN_num_bytes(N);
     87 
     88 	if ((tmp = OPENSSL_malloc(longN)) == NULL)
     89 		return NULL;
     90 	BN_bn2bin(N,tmp) ;
     91 
     92 	EVP_MD_CTX_init(&ctxt);
     93 	EVP_DigestInit_ex(&ctxt, EVP_sha1(), NULL);
     94 	EVP_DigestUpdate(&ctxt, tmp, longN);
     95 
     96 	memset(tmp, 0, longN);
     97 	longg = BN_bn2bin(g,tmp) ;
     98         /* use the zeros behind to pad on left */
     99 	EVP_DigestUpdate(&ctxt, tmp + longg, longN-longg);
    100 	EVP_DigestUpdate(&ctxt, tmp, longg);
    101 	OPENSSL_free(tmp);
    102 
    103 	EVP_DigestFinal_ex(&ctxt, digest, NULL);
    104 	EVP_MD_CTX_cleanup(&ctxt);
    105 	return BN_bin2bn(digest, sizeof(digest), NULL);
    106 	}
    107 
    108 BIGNUM *SRP_Calc_u(BIGNUM *A, BIGNUM *B, BIGNUM *N)
    109 	{
    110 	/* k = SHA1(PAD(A) || PAD(B) ) -- tls-srp draft 8 */
    111 
    112 	BIGNUM *u;
    113 	unsigned char cu[SHA_DIGEST_LENGTH];
    114 	unsigned char *cAB;
    115 	EVP_MD_CTX ctxt;
    116 	int longN;
    117 	if ((A == NULL) ||(B == NULL) || (N == NULL))
    118 		return NULL;
    119 
    120 	longN= BN_num_bytes(N);
    121 
    122 	if ((cAB = OPENSSL_malloc(2*longN)) == NULL)
    123 		return NULL;
    124 
    125 	memset(cAB, 0, longN);
    126 
    127 	EVP_MD_CTX_init(&ctxt);
    128 	EVP_DigestInit_ex(&ctxt, EVP_sha1(), NULL);
    129 	EVP_DigestUpdate(&ctxt, cAB + BN_bn2bin(A,cAB+longN), longN);
    130 	EVP_DigestUpdate(&ctxt, cAB + BN_bn2bin(B,cAB+longN), longN);
    131 	OPENSSL_free(cAB);
    132 	EVP_DigestFinal_ex(&ctxt, cu, NULL);
    133 	EVP_MD_CTX_cleanup(&ctxt);
    134 
    135 	if (!(u = BN_bin2bn(cu, sizeof(cu), NULL)))
    136 		return NULL;
    137 	if (!BN_is_zero(u))
    138 		return u;
    139 	BN_free(u);
    140 	return NULL;
    141 }
    142 
    143 BIGNUM *SRP_Calc_server_key(BIGNUM *A, BIGNUM *v, BIGNUM *u, BIGNUM *b, BIGNUM *N)
    144 	{
    145 	BIGNUM *tmp = NULL, *S = NULL;
    146 	BN_CTX *bn_ctx;
    147 
    148 	if (u == NULL || A == NULL || v == NULL || b == NULL || N == NULL)
    149 		return NULL;
    150 
    151 	if ((bn_ctx = BN_CTX_new()) == NULL ||
    152 		(tmp = BN_new()) == NULL ||
    153 		(S = BN_new()) == NULL )
    154 		goto err;
    155 
    156 	/* S = (A*v**u) ** b */
    157 
    158 	if (!BN_mod_exp(tmp,v,u,N,bn_ctx))
    159 		goto err;
    160 	if (!BN_mod_mul(tmp,A,tmp,N,bn_ctx))
    161 		goto err;
    162 	if (!BN_mod_exp(S,tmp,b,N,bn_ctx))
    163 		goto err;
    164 err:
    165 	BN_CTX_free(bn_ctx);
    166 	BN_clear_free(tmp);
    167 	return S;
    168 	}
    169 
    170 BIGNUM *SRP_Calc_B(BIGNUM *b, BIGNUM *N, BIGNUM *g, BIGNUM *v)
    171 	{
    172 	BIGNUM  *kv = NULL, *gb = NULL;
    173 	BIGNUM *B = NULL, *k = NULL;
    174 	BN_CTX *bn_ctx;
    175 
    176 	if (b == NULL || N == NULL || g == NULL || v == NULL ||
    177 		(bn_ctx = BN_CTX_new()) == NULL)
    178 		return NULL;
    179 
    180 	if ( (kv = BN_new()) == NULL ||
    181 		(gb = BN_new()) == NULL ||
    182 		(B = BN_new())== NULL)
    183 		goto err;
    184 
    185 	/* B = g**b + k*v */
    186 
    187 	if (!BN_mod_exp(gb,g,b,N,bn_ctx) ||
    188 	   !(k = srp_Calc_k(N,g)) ||
    189 	   !BN_mod_mul(kv,v,k,N,bn_ctx) ||
    190 	   !BN_mod_add(B,gb,kv,N,bn_ctx))
    191 		{
    192 		BN_free(B);
    193 		B = NULL;
    194 		}
    195 err:
    196 	BN_CTX_free(bn_ctx);
    197 	BN_clear_free(kv);
    198 	BN_clear_free(gb);
    199 	BN_free(k);
    200 	return B;
    201 	}
    202 
    203 BIGNUM *SRP_Calc_x(BIGNUM *s, const char *user, const char *pass)
    204 	{
    205 	unsigned char dig[SHA_DIGEST_LENGTH];
    206 	EVP_MD_CTX ctxt;
    207 	unsigned char *cs;
    208 
    209 	if ((s == NULL) ||
    210 		(user == NULL) ||
    211 		(pass == NULL))
    212 		return NULL;
    213 
    214 	if ((cs = OPENSSL_malloc(BN_num_bytes(s))) == NULL)
    215 		return NULL;
    216 
    217 	EVP_MD_CTX_init(&ctxt);
    218 	EVP_DigestInit_ex(&ctxt, EVP_sha1(), NULL);
    219 	EVP_DigestUpdate(&ctxt, user, strlen(user));
    220 	EVP_DigestUpdate(&ctxt, ":", 1);
    221 	EVP_DigestUpdate(&ctxt, pass, strlen(pass));
    222 	EVP_DigestFinal_ex(&ctxt, dig, NULL);
    223 
    224 	EVP_DigestInit_ex(&ctxt, EVP_sha1(), NULL);
    225 	BN_bn2bin(s,cs);
    226 	EVP_DigestUpdate(&ctxt, cs, BN_num_bytes(s));
    227 	OPENSSL_free(cs);
    228 	EVP_DigestUpdate(&ctxt, dig, sizeof(dig));
    229 	EVP_DigestFinal_ex(&ctxt, dig, NULL);
    230 	EVP_MD_CTX_cleanup(&ctxt);
    231 
    232 	return BN_bin2bn(dig, sizeof(dig), NULL);
    233 	}
    234 
    235 BIGNUM *SRP_Calc_A(BIGNUM *a, BIGNUM *N, BIGNUM *g)
    236 	{
    237 	BN_CTX *bn_ctx;
    238 	BIGNUM * A = NULL;
    239 
    240 	if (a == NULL || N == NULL || g == NULL ||
    241 		(bn_ctx = BN_CTX_new()) == NULL)
    242 		return NULL;
    243 
    244 	if ((A = BN_new()) != NULL &&
    245 	   !BN_mod_exp(A,g,a,N,bn_ctx))
    246 		{
    247 		BN_free(A);
    248 		A = NULL;
    249 		}
    250 	BN_CTX_free(bn_ctx);
    251 	return A;
    252 	}
    253 
    254 
    255 BIGNUM *SRP_Calc_client_key(BIGNUM *N, BIGNUM *B, BIGNUM *g, BIGNUM *x, BIGNUM *a, BIGNUM *u)
    256 	{
    257 	BIGNUM *tmp = NULL, *tmp2 = NULL, *tmp3 = NULL , *k = NULL, *K = NULL;
    258 	BN_CTX *bn_ctx;
    259 
    260 	if (u == NULL || B == NULL || N == NULL || g == NULL || x == NULL || a == NULL ||
    261 		(bn_ctx = BN_CTX_new()) == NULL)
    262 		return NULL;
    263 
    264 	if ((tmp = BN_new()) == NULL ||
    265 		(tmp2 = BN_new())== NULL ||
    266 		(tmp3 = BN_new())== NULL ||
    267 		(K = BN_new()) == NULL)
    268 		goto err;
    269 
    270 	if (!BN_mod_exp(tmp,g,x,N,bn_ctx))
    271 		goto err;
    272 	if (!(k = srp_Calc_k(N,g)))
    273 		goto err;
    274 	if (!BN_mod_mul(tmp2,tmp,k,N,bn_ctx))
    275 		goto err;
    276 	if (!BN_mod_sub(tmp,B,tmp2,N,bn_ctx))
    277 		goto err;
    278 
    279 	if (!BN_mod_mul(tmp3,u,x,N,bn_ctx))
    280 		goto err;
    281 	if (!BN_mod_add(tmp2,a,tmp3,N,bn_ctx))
    282 		goto err;
    283 	if (!BN_mod_exp(K,tmp,tmp2,N,bn_ctx))
    284 		goto err;
    285 
    286 err :
    287 	BN_CTX_free(bn_ctx);
    288 	BN_clear_free(tmp);
    289 	BN_clear_free(tmp2);
    290 	BN_clear_free(tmp3);
    291 	BN_free(k);
    292 	return K;
    293 	}
    294 
    295 int SRP_Verify_B_mod_N(BIGNUM *B, BIGNUM *N)
    296 	{
    297 	BIGNUM *r;
    298 	BN_CTX *bn_ctx;
    299 	int ret = 0;
    300 
    301 	if (B == NULL || N == NULL ||
    302 		(bn_ctx = BN_CTX_new()) == NULL)
    303 		return 0;
    304 
    305 	if ((r = BN_new()) == NULL)
    306 		goto err;
    307 	/* Checks if B % N == 0 */
    308 	if (!BN_nnmod(r,B,N,bn_ctx))
    309 		goto err;
    310 	ret = !BN_is_zero(r);
    311 err:
    312 	BN_CTX_free(bn_ctx);
    313 	BN_free(r);
    314 	return ret;
    315 	}
    316 
    317 int SRP_Verify_A_mod_N(BIGNUM *A, BIGNUM *N)
    318 	{
    319 	/* Checks if A % N == 0 */
    320 	return SRP_Verify_B_mod_N(A,N) ;
    321 	}
    322 
    323 
    324 /* Check if G and N are kwown parameters.
    325    The values have been generated from the ietf-tls-srp draft version 8
    326 */
    327 char *SRP_check_known_gN_param(BIGNUM *g, BIGNUM *N)
    328 	{
    329 	size_t i;
    330 	if ((g == NULL) || (N == NULL))
    331 		return 0;
    332 
    333 	srp_bn_print(g);
    334 	srp_bn_print(N);
    335 
    336 	for(i = 0; i < KNOWN_GN_NUMBER; i++)
    337 		{
    338 		if (BN_cmp(knowngN[i].g, g) == 0 && BN_cmp(knowngN[i].N, N) == 0)
    339 			return knowngN[i].id;
    340 		}
    341 	return NULL;
    342 	}
    343 
    344 SRP_gN *SRP_get_default_gN(const char *id)
    345 	{
    346 	size_t i;
    347 
    348 	if (id == NULL)
    349 		return knowngN;
    350 	for(i = 0; i < KNOWN_GN_NUMBER; i++)
    351 		{
    352 		if (strcmp(knowngN[i].id, id)==0)
    353 			return knowngN + i;
    354 		}
    355 	return NULL;
    356 	}
    357 #endif
    358