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1 /*
2 * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
3 *
4 * Licensed under the Apache License 2.0 (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
8 */
9
10 #include <stdio.h>
11 #include <string.h>
12 #include <time.h>
13 #include <openssl/err.h>
14 #include <openssl/bn.h>
15 #include "rsa_local.h"
16
17 /* X9.31 RSA key derivation and generation */
18
19 int RSA_X931_derive_ex(RSA *rsa, BIGNUM *p1, BIGNUM *p2, BIGNUM *q1,
20 BIGNUM *q2, const BIGNUM *Xp1, const BIGNUM *Xp2,
21 const BIGNUM *Xp, const BIGNUM *Xq1, const BIGNUM *Xq2,
22 const BIGNUM *Xq, const BIGNUM *e, BN_GENCB *cb)
23 {
24 BIGNUM *r0 = NULL, *r1 = NULL, *r2 = NULL, *r3 = NULL;
25 BN_CTX *ctx = NULL, *ctx2 = NULL;
26 int ret = 0;
27
28 if (!rsa)
29 goto err;
30
31 ctx = BN_CTX_new();
32 if (ctx == NULL)
33 goto err;
34 BN_CTX_start(ctx);
35
36 r0 = BN_CTX_get(ctx);
37 r1 = BN_CTX_get(ctx);
38 r2 = BN_CTX_get(ctx);
39 r3 = BN_CTX_get(ctx);
40
41 if (r3 == NULL)
42 goto err;
43 if (!rsa->e) {
44 rsa->e = BN_dup(e);
45 if (!rsa->e)
46 goto err;
47 } else {
48 e = rsa->e;
49 }
50
51 /*
52 * If not all parameters present only calculate what we can. This allows
53 * test programs to output selective parameters.
54 */
55
56 if (Xp && rsa->p == NULL) {
57 rsa->p = BN_new();
58 if (rsa->p == NULL)
59 goto err;
60
61 if (!BN_X931_derive_prime_ex(rsa->p, p1, p2,
62 Xp, Xp1, Xp2, e, ctx, cb))
63 goto err;
64 }
65
66 if (Xq && rsa->q == NULL) {
67 rsa->q = BN_new();
68 if (rsa->q == NULL)
69 goto err;
70 if (!BN_X931_derive_prime_ex(rsa->q, q1, q2,
71 Xq, Xq1, Xq2, e, ctx, cb))
72 goto err;
73 }
74
75 if (rsa->p == NULL || rsa->q == NULL) {
76 BN_CTX_end(ctx);
77 BN_CTX_free(ctx);
78 return 2;
79 }
80
81 /*
82 * Since both primes are set we can now calculate all remaining
83 * components.
84 */
85
86 /* calculate n */
87 rsa->n = BN_new();
88 if (rsa->n == NULL)
89 goto err;
90 if (!BN_mul(rsa->n, rsa->p, rsa->q, ctx))
91 goto err;
92
93 /* calculate d */
94 if (!BN_sub(r1, rsa->p, BN_value_one()))
95 goto err; /* p-1 */
96 if (!BN_sub(r2, rsa->q, BN_value_one()))
97 goto err; /* q-1 */
98 if (!BN_mul(r0, r1, r2, ctx))
99 goto err; /* (p-1)(q-1) */
100
101 if (!BN_gcd(r3, r1, r2, ctx))
102 goto err;
103
104 if (!BN_div(r0, NULL, r0, r3, ctx))
105 goto err; /* LCM((p-1)(q-1)) */
106
107 ctx2 = BN_CTX_new();
108 if (ctx2 == NULL)
109 goto err;
110
111 rsa->d = BN_mod_inverse(NULL, rsa->e, r0, ctx2); /* d */
112 if (rsa->d == NULL)
113 goto err;
114
115 /* calculate d mod (p-1) */
116 rsa->dmp1 = BN_new();
117 if (rsa->dmp1 == NULL)
118 goto err;
119 if (!BN_mod(rsa->dmp1, rsa->d, r1, ctx))
120 goto err;
121
122 /* calculate d mod (q-1) */
123 rsa->dmq1 = BN_new();
124 if (rsa->dmq1 == NULL)
125 goto err;
126 if (!BN_mod(rsa->dmq1, rsa->d, r2, ctx))
127 goto err;
128
129 /* calculate inverse of q mod p */
130 rsa->iqmp = BN_mod_inverse(NULL, rsa->q, rsa->p, ctx2);
131 if (rsa->iqmp == NULL)
132 goto err;
133
134 ret = 1;
135 err:
136 BN_CTX_end(ctx);
137 BN_CTX_free(ctx);
138 BN_CTX_free(ctx2);
139
140 return ret;
141
142 }
143
144 int RSA_X931_generate_key_ex(RSA *rsa, int bits, const BIGNUM *e,
145 BN_GENCB *cb)
146 {
147 int ok = 0;
148 BIGNUM *Xp = NULL, *Xq = NULL;
149 BN_CTX *ctx = NULL;
150
151 ctx = BN_CTX_new();
152 if (ctx == NULL)
153 goto error;
154
155 BN_CTX_start(ctx);
156 Xp = BN_CTX_get(ctx);
157 Xq = BN_CTX_get(ctx);
158 if (Xq == NULL)
159 goto error;
160 if (!BN_X931_generate_Xpq(Xp, Xq, bits, ctx))
161 goto error;
162
163 rsa->p = BN_new();
164 rsa->q = BN_new();
165 if (rsa->p == NULL || rsa->q == NULL)
166 goto error;
167
168 /* Generate two primes from Xp, Xq */
169
170 if (!BN_X931_generate_prime_ex(rsa->p, NULL, NULL, NULL, NULL, Xp,
171 e, ctx, cb))
172 goto error;
173
174 if (!BN_X931_generate_prime_ex(rsa->q, NULL, NULL, NULL, NULL, Xq,
175 e, ctx, cb))
176 goto error;
177
178 /*
179 * Since rsa->p and rsa->q are valid this call will just derive remaining
180 * RSA components.
181 */
182
183 if (!RSA_X931_derive_ex(rsa, NULL, NULL, NULL, NULL,
184 NULL, NULL, NULL, NULL, NULL, NULL, e, cb))
185 goto error;
186
187 ok = 1;
188
189 error:
190 BN_CTX_end(ctx);
191 BN_CTX_free(ctx);
192
193 if (ok)
194 return 1;
195
196 return 0;
197
198 }