1 /*
2  * pgp-mpi-openssl.c
3  *	  OpenPGP MPI functions using OpenSSL BIGNUM code.
4  *
5  * Copyright (c) 2005 Marko Kreen
6  * All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  * 1. Redistributions of source code must retain the above copyright
12  *	  notice, this list of conditions and the following disclaimer.
13  * 2. Redistributions in binary form must reproduce the above copyright
14  *	  notice, this list of conditions and the following disclaimer in the
15  *	  documentation and/or other materials provided with the distribution.
16  *
17  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
18  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
21  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
22  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
23  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
24  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
25  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
26  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
27  * SUCH DAMAGE.
28  *
29  * contrib/pgcrypto/pgp-mpi-openssl.c
30  */
31 #include "postgres.h"
32 
33 #include <openssl/bn.h>
34 
35 #include "px.h"
36 #include "pgp.h"
37 
38 static BIGNUM *
mpi_to_bn(PGP_MPI * n)39 mpi_to_bn(PGP_MPI *n)
40 {
41 	BIGNUM	   *bn = BN_bin2bn(n->data, n->bytes, NULL);
42 
43 	if (!bn)
44 		return NULL;
45 	if (BN_num_bits(bn) != n->bits)
46 	{
47 		px_debug("mpi_to_bn: bignum conversion failed: mpi=%d, bn=%d",
48 				 n->bits, BN_num_bits(bn));
49 		BN_clear_free(bn);
50 		return NULL;
51 	}
52 	return bn;
53 }
54 
55 static PGP_MPI *
bn_to_mpi(BIGNUM * bn)56 bn_to_mpi(BIGNUM *bn)
57 {
58 	int			res;
59 	PGP_MPI    *n;
60 
61 	res = pgp_mpi_alloc(BN_num_bits(bn), &n);
62 	if (res < 0)
63 		return NULL;
64 
65 	if (BN_num_bytes(bn) != n->bytes)
66 	{
67 		px_debug("bn_to_mpi: bignum conversion failed: bn=%d, mpi=%d",
68 				 BN_num_bytes(bn), n->bytes);
69 		pgp_mpi_free(n);
70 		return NULL;
71 	}
72 	BN_bn2bin(bn, n->data);
73 	return n;
74 }
75 
76 /*
77  * Decide the number of bits in the random component k
78  *
79  * It should be in the same range as p for signing (which
80  * is deprecated), but can be much smaller for encrypting.
81  *
82  * Until I research it further, I just mimic gpg behaviour.
83  * It has a special mapping table, for values <= 5120,
84  * above that it uses 'arbitrary high number'.  Following
85  * algorithm hovers 10-70 bits above gpg values.  And for
86  * larger p, it uses gpg's algorithm.
87  *
88  * The point is - if k gets large, encryption will be
89  * really slow.  It does not matter for decryption.
90  */
91 static int
decide_k_bits(int p_bits)92 decide_k_bits(int p_bits)
93 {
94 	if (p_bits <= 5120)
95 		return p_bits / 10 + 160;
96 	else
97 		return (p_bits / 8 + 200) * 3 / 2;
98 }
99 
100 int
pgp_elgamal_encrypt(PGP_PubKey * pk,PGP_MPI * _m,PGP_MPI ** c1_p,PGP_MPI ** c2_p)101 pgp_elgamal_encrypt(PGP_PubKey *pk, PGP_MPI *_m,
102 					PGP_MPI **c1_p, PGP_MPI **c2_p)
103 {
104 	int			res = PXE_PGP_MATH_FAILED;
105 	int			k_bits;
106 	BIGNUM	   *m = mpi_to_bn(_m);
107 	BIGNUM	   *p = mpi_to_bn(pk->pub.elg.p);
108 	BIGNUM	   *g = mpi_to_bn(pk->pub.elg.g);
109 	BIGNUM	   *y = mpi_to_bn(pk->pub.elg.y);
110 	BIGNUM	   *k = BN_new();
111 	BIGNUM	   *yk = BN_new();
112 	BIGNUM	   *c1 = BN_new();
113 	BIGNUM	   *c2 = BN_new();
114 	BN_CTX	   *tmp = BN_CTX_new();
115 
116 	if (!m || !p || !g || !y || !k || !yk || !c1 || !c2 || !tmp)
117 		goto err;
118 
119 	/*
120 	 * generate k
121 	 */
122 	k_bits = decide_k_bits(BN_num_bits(p));
123 	if (!BN_rand(k, k_bits, 0, 0))
124 		goto err;
125 
126 	/*
127 	 * c1 = g^k c2 = m * y^k
128 	 */
129 	if (!BN_mod_exp(c1, g, k, p, tmp))
130 		goto err;
131 	if (!BN_mod_exp(yk, y, k, p, tmp))
132 		goto err;
133 	if (!BN_mod_mul(c2, m, yk, p, tmp))
134 		goto err;
135 
136 	/* result */
137 	*c1_p = bn_to_mpi(c1);
138 	*c2_p = bn_to_mpi(c2);
139 	if (*c1_p && *c2_p)
140 		res = 0;
141 err:
142 	if (tmp)
143 		BN_CTX_free(tmp);
144 	if (c2)
145 		BN_clear_free(c2);
146 	if (c1)
147 		BN_clear_free(c1);
148 	if (yk)
149 		BN_clear_free(yk);
150 	if (k)
151 		BN_clear_free(k);
152 	if (y)
153 		BN_clear_free(y);
154 	if (g)
155 		BN_clear_free(g);
156 	if (p)
157 		BN_clear_free(p);
158 	if (m)
159 		BN_clear_free(m);
160 	return res;
161 }
162 
163 int
pgp_elgamal_decrypt(PGP_PubKey * pk,PGP_MPI * _c1,PGP_MPI * _c2,PGP_MPI ** msg_p)164 pgp_elgamal_decrypt(PGP_PubKey *pk, PGP_MPI *_c1, PGP_MPI *_c2,
165 					PGP_MPI **msg_p)
166 {
167 	int			res = PXE_PGP_MATH_FAILED;
168 	BIGNUM	   *c1 = mpi_to_bn(_c1);
169 	BIGNUM	   *c2 = mpi_to_bn(_c2);
170 	BIGNUM	   *p = mpi_to_bn(pk->pub.elg.p);
171 	BIGNUM	   *x = mpi_to_bn(pk->sec.elg.x);
172 	BIGNUM	   *c1x = BN_new();
173 	BIGNUM	   *div = BN_new();
174 	BIGNUM	   *m = BN_new();
175 	BN_CTX	   *tmp = BN_CTX_new();
176 
177 	if (!c1 || !c2 || !p || !x || !c1x || !div || !m || !tmp)
178 		goto err;
179 
180 	/*
181 	 * m = c2 / (c1^x)
182 	 */
183 	if (!BN_mod_exp(c1x, c1, x, p, tmp))
184 		goto err;
185 	if (!BN_mod_inverse(div, c1x, p, tmp))
186 		goto err;
187 	if (!BN_mod_mul(m, c2, div, p, tmp))
188 		goto err;
189 
190 	/* result */
191 	*msg_p = bn_to_mpi(m);
192 	if (*msg_p)
193 		res = 0;
194 err:
195 	if (tmp)
196 		BN_CTX_free(tmp);
197 	if (m)
198 		BN_clear_free(m);
199 	if (div)
200 		BN_clear_free(div);
201 	if (c1x)
202 		BN_clear_free(c1x);
203 	if (x)
204 		BN_clear_free(x);
205 	if (p)
206 		BN_clear_free(p);
207 	if (c2)
208 		BN_clear_free(c2);
209 	if (c1)
210 		BN_clear_free(c1);
211 	return res;
212 }
213 
214 int
pgp_rsa_encrypt(PGP_PubKey * pk,PGP_MPI * _m,PGP_MPI ** c_p)215 pgp_rsa_encrypt(PGP_PubKey *pk, PGP_MPI *_m, PGP_MPI **c_p)
216 {
217 	int			res = PXE_PGP_MATH_FAILED;
218 	BIGNUM	   *m = mpi_to_bn(_m);
219 	BIGNUM	   *e = mpi_to_bn(pk->pub.rsa.e);
220 	BIGNUM	   *n = mpi_to_bn(pk->pub.rsa.n);
221 	BIGNUM	   *c = BN_new();
222 	BN_CTX	   *tmp = BN_CTX_new();
223 
224 	if (!m || !e || !n || !c || !tmp)
225 		goto err;
226 
227 	/*
228 	 * c = m ^ e
229 	 */
230 	if (!BN_mod_exp(c, m, e, n, tmp))
231 		goto err;
232 
233 	*c_p = bn_to_mpi(c);
234 	if (*c_p)
235 		res = 0;
236 err:
237 	if (tmp)
238 		BN_CTX_free(tmp);
239 	if (c)
240 		BN_clear_free(c);
241 	if (n)
242 		BN_clear_free(n);
243 	if (e)
244 		BN_clear_free(e);
245 	if (m)
246 		BN_clear_free(m);
247 	return res;
248 }
249 
250 int
pgp_rsa_decrypt(PGP_PubKey * pk,PGP_MPI * _c,PGP_MPI ** m_p)251 pgp_rsa_decrypt(PGP_PubKey *pk, PGP_MPI *_c, PGP_MPI **m_p)
252 {
253 	int			res = PXE_PGP_MATH_FAILED;
254 	BIGNUM	   *c = mpi_to_bn(_c);
255 	BIGNUM	   *d = mpi_to_bn(pk->sec.rsa.d);
256 	BIGNUM	   *n = mpi_to_bn(pk->pub.rsa.n);
257 	BIGNUM	   *m = BN_new();
258 	BN_CTX	   *tmp = BN_CTX_new();
259 
260 	if (!m || !d || !n || !c || !tmp)
261 		goto err;
262 
263 	/*
264 	 * m = c ^ d
265 	 */
266 	if (!BN_mod_exp(m, c, d, n, tmp))
267 		goto err;
268 
269 	*m_p = bn_to_mpi(m);
270 	if (*m_p)
271 		res = 0;
272 err:
273 	if (tmp)
274 		BN_CTX_free(tmp);
275 	if (m)
276 		BN_clear_free(m);
277 	if (n)
278 		BN_clear_free(n);
279 	if (d)
280 		BN_clear_free(d);
281 	if (c)
282 		BN_clear_free(c);
283 	return res;
284 }
285