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d02b48c6 1/* crypto/bn/bn_rand.c */
58964a49 2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
d02b48c6
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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.
0f113f3e 8 *
d02b48c6
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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).
0f113f3e 15 *
d02b48c6
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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.
0f113f3e 22 *
d02b48c6
RE
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 :-).
0f113f3e 37 * 4. If you include any Windows specific code (or a derivative thereof) from
d02b48c6
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38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
0f113f3e 40 *
d02b48c6
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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.
0f113f3e 52 *
d02b48c6
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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 */
983495c4
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58/* ====================================================================
59 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
60 *
61 * Redistribution and use in source and binary forms, with or without
62 * modification, are permitted provided that the following conditions
63 * are met:
64 *
65 * 1. Redistributions of source code must retain the above copyright
0f113f3e 66 * notice, this list of conditions and the following disclaimer.
983495c4
BM
67 *
68 * 2. Redistributions in binary form must reproduce the above copyright
69 * notice, this list of conditions and the following disclaimer in
70 * the documentation and/or other materials provided with the
71 * distribution.
72 *
73 * 3. All advertising materials mentioning features or use of this
74 * software must display the following acknowledgment:
75 * "This product includes software developed by the OpenSSL Project
76 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
77 *
78 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
79 * endorse or promote products derived from this software without
80 * prior written permission. For written permission, please contact
81 * openssl-core@openssl.org.
82 *
83 * 5. Products derived from this software may not be called "OpenSSL"
84 * nor may "OpenSSL" appear in their names without prior written
85 * permission of the OpenSSL Project.
86 *
87 * 6. Redistributions of any form whatsoever must retain the following
88 * acknowledgment:
89 * "This product includes software developed by the OpenSSL Project
90 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
91 *
92 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
93 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
94 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
95 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
96 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
97 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
98 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
99 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
100 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
101 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
102 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
103 * OF THE POSSIBILITY OF SUCH DAMAGE.
104 * ====================================================================
105 *
106 * This product includes cryptographic software written by Eric Young
107 * (eay@cryptsoft.com). This product includes software written by Tim
108 * Hudson (tjh@cryptsoft.com).
109 *
110 */
d02b48c6
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111
112#include <stdio.h>
113#include <time.h>
114#include "cryptlib.h"
115#include "bn_lcl.h"
ec577822 116#include <openssl/rand.h>
8a99cb29 117#include <openssl/sha.h>
d02b48c6 118
38e33cef 119static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
0f113f3e
MC
120{
121 unsigned char *buf = NULL;
122 int ret = 0, bit, bytes, mask;
123 time_t tim;
124
125 if (bits == 0) {
126 BN_zero(rnd);
127 return 1;
128 }
129
130 bytes = (bits + 7) / 8;
131 bit = (bits - 1) % 8;
132 mask = 0xff << (bit + 1);
133
134 buf = (unsigned char *)OPENSSL_malloc(bytes);
135 if (buf == NULL) {
136 BNerr(BN_F_BNRAND, ERR_R_MALLOC_FAILURE);
137 goto err;
138 }
139
140 /* make a random number and set the top and bottom bits */
141 time(&tim);
142 RAND_add(&tim, sizeof(tim), 0.0);
143
144 if (pseudorand) {
145 if (RAND_pseudo_bytes(buf, bytes) == -1)
146 goto err;
147 } else {
148 if (RAND_bytes(buf, bytes) <= 0)
149 goto err;
150 }
38e33cef 151
111482cf 152#if 1
0f113f3e
MC
153 if (pseudorand == 2) {
154 /*
155 * generate patterns that are more likely to trigger BN library bugs
156 */
157 int i;
158 unsigned char c;
159
160 for (i = 0; i < bytes; i++) {
161 RAND_pseudo_bytes(&c, 1);
162 if (c >= 128 && i > 0)
163 buf[i] = buf[i - 1];
164 else if (c < 42)
165 buf[i] = 0;
166 else if (c < 84)
167 buf[i] = 255;
168 }
169 }
111482cf
UM
170#endif
171
0f113f3e
MC
172 if (top != -1) {
173 if (top) {
174 if (bit == 0) {
175 buf[0] = 1;
176 buf[1] |= 0x80;
177 } else {
178 buf[0] |= (3 << (bit - 1));
179 }
180 } else {
181 buf[0] |= (1 << bit);
182 }
183 }
184 buf[0] &= ~mask;
185 if (bottom) /* set bottom bit if requested */
186 buf[bytes - 1] |= 1;
187 if (!BN_bin2bn(buf, bytes, rnd))
188 goto err;
189 ret = 1;
190 err:
191 if (buf != NULL) {
192 OPENSSL_cleanse(buf, bytes);
193 OPENSSL_free(buf);
194 }
195 bn_check_top(rnd);
196 return (ret);
197}
198
199int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
200{
201 return bnrand(0, rnd, bits, top, bottom);
202}
203
204int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
205{
206 return bnrand(1, rnd, bits, top, bottom);
207}
111482cf
UM
208
209#if 1
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MC
210int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
211{
212 return bnrand(2, rnd, bits, top, bottom);
213}
111482cf 214#endif
57e7d3ce 215
e3068929 216/* random number r: 0 <= r < range */
0d6f9c71 217static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
0f113f3e
MC
218{
219 int (*bn_rand) (BIGNUM *, int, int, int) =
220 pseudo ? BN_pseudo_rand : BN_rand;
221 int n;
222 int count = 100;
223
224 if (range->neg || BN_is_zero(range)) {
225 BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
226 return 0;
227 }
228
229 n = BN_num_bits(range); /* n > 0 */
230
231 /* BN_is_bit_set(range, n - 1) always holds */
232
233 if (n == 1)
234 BN_zero(r);
235 else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3)) {
236 /*
237 * range = 100..._2, so 3*range (= 11..._2) is exactly one bit longer
238 * than range
239 */
240 do {
241 if (!bn_rand(r, n + 1, -1, 0))
242 return 0;
243 /*
244 * If r < 3*range, use r := r MOD range (which is either r, r -
245 * range, or r - 2*range). Otherwise, iterate once more. Since
246 * 3*range = 11..._2, each iteration succeeds with probability >=
247 * .75.
248 */
249 if (BN_cmp(r, range) >= 0) {
250 if (!BN_sub(r, r, range))
251 return 0;
252 if (BN_cmp(r, range) >= 0)
253 if (!BN_sub(r, r, range))
254 return 0;
255 }
256
257 if (!--count) {
258 BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
259 return 0;
260 }
261
262 }
263 while (BN_cmp(r, range) >= 0);
264 } else {
265 do {
266 /* range = 11..._2 or range = 101..._2 */
267 if (!bn_rand(r, n, -1, 0))
268 return 0;
269
270 if (!--count) {
271 BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
272 return 0;
273 }
274 }
275 while (BN_cmp(r, range) >= 0);
276 }
277
278 bn_check_top(r);
279 return 1;
280}
281
282int BN_rand_range(BIGNUM *r, const BIGNUM *range)
283{
284 return bn_rand_range(0, r, range);
285}
286
287int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
288{
289 return bn_rand_range(1, r, range);
290}
8a99cb29
AL
291
292#ifndef OPENSSL_NO_SHA512
0f113f3e
MC
293/*
294 * BN_generate_dsa_nonce generates a random number 0 <= out < range. Unlike
295 * BN_rand_range, it also includes the contents of |priv| and |message| in
296 * the generation so that an RNG failure isn't fatal as long as |priv|
297 * remains secret. This is intended for use in DSA and ECDSA where an RNG
298 * weakness leads directly to private key exposure unless this function is
299 * used.
300 */
301int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
302 const BIGNUM *priv, const unsigned char *message,
303 size_t message_len, BN_CTX *ctx)
304{
305 SHA512_CTX sha;
306 /*
307 * We use 512 bits of random data per iteration to ensure that we have at
308 * least |range| bits of randomness.
309 */
310 unsigned char random_bytes[64];
311 unsigned char digest[SHA512_DIGEST_LENGTH];
312 unsigned done, todo;
313 /* We generate |range|+8 bytes of random output. */
314 const unsigned num_k_bytes = BN_num_bytes(range) + 8;
315 unsigned char private_bytes[96];
316 unsigned char *k_bytes;
317 int ret = 0;
318
319 k_bytes = OPENSSL_malloc(num_k_bytes);
320 if (!k_bytes)
321 goto err;
322
323 /* We copy |priv| into a local buffer to avoid exposing its length. */
324 todo = sizeof(priv->d[0]) * priv->top;
325 if (todo > sizeof(private_bytes)) {
326 /*
327 * No reasonable DSA or ECDSA key should have a private key this
328 * large and we don't handle this case in order to avoid leaking the
329 * length of the private key.
330 */
331 BNerr(BN_F_BN_GENERATE_DSA_NONCE, BN_R_PRIVATE_KEY_TOO_LARGE);
332 goto err;
333 }
334 memcpy(private_bytes, priv->d, todo);
335 memset(private_bytes + todo, 0, sizeof(private_bytes) - todo);
336
337 for (done = 0; done < num_k_bytes;) {
338 if (RAND_bytes(random_bytes, sizeof(random_bytes)) != 1)
339 goto err;
340 SHA512_Init(&sha);
341 SHA512_Update(&sha, &done, sizeof(done));
342 SHA512_Update(&sha, private_bytes, sizeof(private_bytes));
343 SHA512_Update(&sha, message, message_len);
344 SHA512_Update(&sha, random_bytes, sizeof(random_bytes));
345 SHA512_Final(digest, &sha);
346
347 todo = num_k_bytes - done;
348 if (todo > SHA512_DIGEST_LENGTH)
349 todo = SHA512_DIGEST_LENGTH;
350 memcpy(k_bytes + done, digest, todo);
351 done += todo;
352 }
353
354 if (!BN_bin2bn(k_bytes, num_k_bytes, out))
355 goto err;
356 if (BN_mod(out, out, range, ctx) != 1)
357 goto err;
358 ret = 1;
359
360 err:
361 if (k_bytes)
362 OPENSSL_free(k_bytes);
363 return ret;
364}
365#endif /* OPENSSL_NO_SHA512 */