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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
76 if (!rsa)
77 goto err;
78
79 ctx = BN_CTX_new();
80 BN_CTX_start(ctx);
81 if (!ctx)
82 goto err;
83
84 r0 = BN_CTX_get(ctx);
85 r1 = BN_CTX_get(ctx);
86 r2 = BN_CTX_get(ctx);
87 r3 = BN_CTX_get(ctx);
88
89 if (r3 == NULL)
90 goto err;
91 if (!rsa->e) {
92 rsa->e = BN_dup(e);
93 if (!rsa->e)
94 goto err;
95 } else
96 e = rsa->e;
97
98 /*
99 * If not all parameters present only calculate what we can. This allows
100 * test programs to output selective parameters.
101 */
102
103 if (Xp && !rsa->p) {
104 rsa->p = BN_new();
105 if (!rsa->p)
106 goto err;
107
108 if (!BN_X931_derive_prime_ex(rsa->p, p1, p2,
109 Xp, Xp1, Xp2, e, ctx, cb))
110 goto err;
111 }
112
113 if (Xq && !rsa->q) {
114 rsa->q = BN_new();
115 if (!rsa->q)
116 goto err;
117 if (!BN_X931_derive_prime_ex(rsa->q, q1, q2,
118 Xq, Xq1, Xq2, e, ctx, cb))
119 goto err;
120 }
121
122 if (!rsa->p || !rsa->q) {
123 BN_CTX_end(ctx);
124 BN_CTX_free(ctx);
125 return 2;
126 }
127
128 /*
129 * Since both primes are set we can now calculate all remaining
130 * components.
131 */
132
133 /* calculate n */
134 rsa->n = BN_new();
135 if (rsa->n == NULL)
136 goto err;
137 if (!BN_mul(rsa->n, rsa->p, rsa->q, ctx))
138 goto err;
139
140 /* calculate d */
141 if (!BN_sub(r1, rsa->p, BN_value_one()))
142 goto err; /* p-1 */
143 if (!BN_sub(r2, rsa->q, BN_value_one()))
144 goto err; /* q-1 */
145 if (!BN_mul(r0, r1, r2, ctx))
146 goto err; /* (p-1)(q-1) */
147
148 if (!BN_gcd(r3, r1, r2, ctx))
149 goto err;
150
151 if (!BN_div(r0, NULL, r0, r3, ctx))
152 goto err; /* LCM((p-1)(q-1)) */
153
154 ctx2 = BN_CTX_new();
155 if (!ctx2)
156 goto err;
157
158 rsa->d = BN_mod_inverse(NULL, rsa->e, r0, ctx2); /* d */
159 if (rsa->d == NULL)
160 goto err;
161
162 /* calculate d mod (p-1) */
163 rsa->dmp1 = BN_new();
164 if (rsa->dmp1 == NULL)
165 goto err;
166 if (!BN_mod(rsa->dmp1, rsa->d, r1, ctx))
167 goto err;
168
169 /* calculate d mod (q-1) */
170 rsa->dmq1 = BN_new();
171 if (rsa->dmq1 == NULL)
172 goto err;
173 if (!BN_mod(rsa->dmq1, rsa->d, r2, ctx))
174 goto err;
175
176 /* calculate inverse of q mod p */
177 rsa->iqmp = BN_mod_inverse(NULL, rsa->q, rsa->p, ctx2);
178
179 err:
180 if (ctx) {
181 BN_CTX_end(ctx);
182 BN_CTX_free(ctx);
183 }
184 if (ctx2)
185 BN_CTX_free(ctx2);
186 /* If this is set all calls successful */
187 if (rsa->iqmp != NULL)
188 return 1;
189
190 return 0;
191
192 }
193
194 int RSA_X931_generate_key_ex(RSA *rsa, int bits, const BIGNUM *e,
195 BN_GENCB *cb)
196 {
197 int ok = 0;
198 BIGNUM *Xp = NULL, *Xq = NULL;
199 BN_CTX *ctx = NULL;
200
201 ctx = BN_CTX_new();
202 if (!ctx)
203 goto error;
204
205 BN_CTX_start(ctx);
206 Xp = BN_CTX_get(ctx);
207 Xq = BN_CTX_get(ctx);
208 if (!BN_X931_generate_Xpq(Xp, Xq, bits, ctx))
209 goto error;
210
211 rsa->p = BN_new();
212 rsa->q = BN_new();
213 if (!rsa->p || !rsa->q)
214 goto error;
215
216 /* Generate two primes from Xp, Xq */
217
218 if (!BN_X931_generate_prime_ex(rsa->p, NULL, NULL, NULL, NULL, Xp,
219 e, ctx, cb))
220 goto error;
221
222 if (!BN_X931_generate_prime_ex(rsa->q, NULL, NULL, NULL, NULL, Xq,
223 e, ctx, cb))
224 goto error;
225
226 /*
227 * Since rsa->p and rsa->q are valid this call will just derive remaining
228 * RSA components.
229 */
230
231 if (!RSA_X931_derive_ex(rsa, NULL, NULL, NULL, NULL,
232 NULL, NULL, NULL, NULL, NULL, NULL, e, cb))
233 goto error;
234
235 ok = 1;
236
237 error:
238 if (ctx) {
239 BN_CTX_end(ctx);
240 BN_CTX_free(ctx);
241 }
242
243 if (ok)
244 return 1;
245
246 return 0;
247
248 }