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1 /* crypto/rsa/rsa_gen.c */
2 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
8 *
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 *
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 *
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
51 * SUCH DAMAGE.
52 *
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
57 */
58
59 #include <stdio.h>
60 #include <string.h>
61 #include <time.h>
62 #include <openssl/err.h>
63 #include <openssl/bn.h>
64 #include <openssl/rsa.h>
65
66 /* X9.31 RSA key derivation and generation */
67
68 int RSA_X931_derive_ex(RSA *rsa, BIGNUM *p1, BIGNUM *p2, BIGNUM *q1,
69 BIGNUM *q2, const BIGNUM *Xp1, const BIGNUM *Xp2,
70 const BIGNUM *Xp, const BIGNUM *Xq1, const BIGNUM *Xq2,
71 const BIGNUM *Xq, const BIGNUM *e, BN_GENCB *cb)
72 {
73 BIGNUM *r0 = NULL, *r1 = NULL, *r2 = NULL, *r3 = NULL;
74 BN_CTX *ctx = NULL, *ctx2 = NULL;
75 int ret = 0;
76
77 if (!rsa)
78 goto err;
79
80 ctx = BN_CTX_new();
81 if (!ctx)
82 goto err;
83 BN_CTX_start(ctx);
84
85 r0 = BN_CTX_get(ctx);
86 r1 = BN_CTX_get(ctx);
87 r2 = BN_CTX_get(ctx);
88 r3 = BN_CTX_get(ctx);
89
90 if (r3 == NULL)
91 goto err;
92 if (!rsa->e) {
93 rsa->e = BN_dup(e);
94 if (!rsa->e)
95 goto err;
96 } else
97 e = rsa->e;
98
99 /*
100 * If not all parameters present only calculate what we can. This allows
101 * test programs to output selective parameters.
102 */
103
104 if (Xp && !rsa->p) {
105 rsa->p = BN_new();
106 if (!rsa->p)
107 goto err;
108
109 if (!BN_X931_derive_prime_ex(rsa->p, p1, p2,
110 Xp, Xp1, Xp2, e, ctx, cb))
111 goto err;
112 }
113
114 if (Xq && !rsa->q) {
115 rsa->q = BN_new();
116 if (!rsa->q)
117 goto err;
118 if (!BN_X931_derive_prime_ex(rsa->q, q1, q2,
119 Xq, Xq1, Xq2, e, ctx, cb))
120 goto err;
121 }
122
123 if (!rsa->p || !rsa->q) {
124 BN_CTX_end(ctx);
125 BN_CTX_free(ctx);
126 return 2;
127 }
128
129 /*
130 * Since both primes are set we can now calculate all remaining
131 * components.
132 */
133
134 /* calculate n */
135 rsa->n = BN_new();
136 if (rsa->n == NULL)
137 goto err;
138 if (!BN_mul(rsa->n, rsa->p, rsa->q, ctx))
139 goto err;
140
141 /* calculate d */
142 if (!BN_sub(r1, rsa->p, BN_value_one()))
143 goto err; /* p-1 */
144 if (!BN_sub(r2, rsa->q, BN_value_one()))
145 goto err; /* q-1 */
146 if (!BN_mul(r0, r1, r2, ctx))
147 goto err; /* (p-1)(q-1) */
148
149 if (!BN_gcd(r3, r1, r2, ctx))
150 goto err;
151
152 if (!BN_div(r0, NULL, r0, r3, ctx))
153 goto err; /* LCM((p-1)(q-1)) */
154
155 ctx2 = BN_CTX_new();
156 if (!ctx2)
157 goto err;
158
159 rsa->d = BN_mod_inverse(NULL, rsa->e, r0, ctx2); /* d */
160 if (rsa->d == NULL)
161 goto err;
162
163 /* calculate d mod (p-1) */
164 rsa->dmp1 = BN_new();
165 if (rsa->dmp1 == NULL)
166 goto err;
167 if (!BN_mod(rsa->dmp1, rsa->d, r1, ctx))
168 goto err;
169
170 /* calculate d mod (q-1) */
171 rsa->dmq1 = BN_new();
172 if (rsa->dmq1 == NULL)
173 goto err;
174 if (!BN_mod(rsa->dmq1, rsa->d, r2, ctx))
175 goto err;
176
177 /* calculate inverse of q mod p */
178 rsa->iqmp = BN_mod_inverse(NULL, rsa->q, rsa->p, ctx2);
179
180 ret = 1;
181 err:
182 if (ctx)
183 BN_CTX_end(ctx);
184 BN_CTX_free(ctx);
185 BN_CTX_free(ctx2);
186
187 return ret;
188
189 }
190
191 int RSA_X931_generate_key_ex(RSA *rsa, int bits, const BIGNUM *e,
192 BN_GENCB *cb)
193 {
194 int ok = 0;
195 BIGNUM *Xp = NULL, *Xq = NULL;
196 BN_CTX *ctx = NULL;
197
198 ctx = BN_CTX_new();
199 if (!ctx)
200 goto error;
201
202 BN_CTX_start(ctx);
203 Xp = BN_CTX_get(ctx);
204 Xq = BN_CTX_get(ctx);
205 if (!BN_X931_generate_Xpq(Xp, Xq, bits, ctx))
206 goto error;
207
208 rsa->p = BN_new();
209 rsa->q = BN_new();
210 if (!rsa->p || !rsa->q)
211 goto error;
212
213 /* Generate two primes from Xp, Xq */
214
215 if (!BN_X931_generate_prime_ex(rsa->p, NULL, NULL, NULL, NULL, Xp,
216 e, ctx, cb))
217 goto error;
218
219 if (!BN_X931_generate_prime_ex(rsa->q, NULL, NULL, NULL, NULL, Xq,
220 e, ctx, cb))
221 goto error;
222
223 /*
224 * Since rsa->p and rsa->q are valid this call will just derive remaining
225 * RSA components.
226 */
227
228 if (!RSA_X931_derive_ex(rsa, NULL, NULL, NULL, NULL,
229 NULL, NULL, NULL, NULL, NULL, NULL, e, cb))
230 goto error;
231
232 ok = 1;
233
234 error:
235 if (ctx)
236 BN_CTX_end(ctx);
237 BN_CTX_free(ctx);
238
239 if (ok)
240 return 1;
241
242 return 0;
243
244 }