1 /* crypto/bn/bn_rand.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  * 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
66  *    notice, this list of conditions and the following disclaimer.
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  */
111 
112 #include <stdio.h>
113 #include <time.h>
114 #include "cryptlib.h"
115 #include "bn_lcl.h"
116 #include <openssl/rand.h>
117 
bnrand(int pseudorand,BIGNUM * rnd,int bits,int top,int bottom)118 static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
119 	{
120 	unsigned char *buf=NULL;
121 	int ret=0,bit,bytes,mask;
122 
123 	if (bits == 0)
124 		{
125 		BN_zero(rnd);
126 		return 1;
127 		}
128 
129 	bytes=(bits+7)/8;
130 	bit=(bits-1)%8;
131 	mask=0xff<<(bit+1);
132 
133 	buf=(unsigned char *)OPENSSL_malloc(bytes);
134 	if (buf == NULL)
135 		{
136 		BNerr(BN_F_BN_RAND,ERR_R_MALLOC_FAILURE);
137 		goto err;
138 		}
139 
140 	/* make a random number and set the top and bottom bits */
141 	RAND_add(NULL, 0, 0);
142 
143 	if (pseudorand)
144 		{
145 		if (RAND_pseudo_bytes(buf, bytes) == -1)
146 			goto err;
147 		}
148 	else
149 		{
150 		if (RAND_bytes(buf, bytes) <= 0)
151 			goto err;
152 		}
153 
154 #if 1
155 	if (pseudorand == 2)
156 		{
157 		/* generate patterns that are more likely to trigger BN
158 		   library bugs */
159 		int i;
160 		unsigned char c;
161 
162 		for (i = 0; i < bytes; i++)
163 			{
164 			RAND_pseudo_bytes(&c, 1);
165 			if (c >= 128 && i > 0)
166 				buf[i] = buf[i-1];
167 			else if (c < 42)
168 				buf[i] = 0;
169 			else if (c < 84)
170 				buf[i] = 255;
171 			}
172 		}
173 #endif
174 
175 	if (top != -1)
176 		{
177 		if (top)
178 			{
179 			if (bit == 0)
180 				{
181 				buf[0]=1;
182 				buf[1]|=0x80;
183 				}
184 			else
185 				{
186 				buf[0]|=(3<<(bit-1));
187 				}
188 			}
189 		else
190 			{
191 			buf[0]|=(1<<bit);
192 			}
193 		}
194 	buf[0] &= ~mask;
195 	if (bottom) /* set bottom bit if requested */
196 		buf[bytes-1]|=1;
197 	if (!BN_bin2bn(buf,bytes,rnd)) goto err;
198 	ret=1;
199 err:
200 	if (buf != NULL)
201 		{
202 		OPENSSL_cleanse(buf,bytes);
203 		OPENSSL_free(buf);
204 		}
205 	return(ret);
206 	}
207 
BN_rand(BIGNUM * rnd,int bits,int top,int bottom)208 int     BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
209 	{
210 	return bnrand(0, rnd, bits, top, bottom);
211 	}
212 
BN_pseudo_rand(BIGNUM * rnd,int bits,int top,int bottom)213 int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
214 	{
215 	return bnrand(1, rnd, bits, top, bottom);
216 	}
217 
218 #if 1
BN_bntest_rand(BIGNUM * rnd,int bits,int top,int bottom)219 int     BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
220 	{
221 	return bnrand(2, rnd, bits, top, bottom);
222 	}
223 #endif
224 
225 
226 /* random number r:  0 <= r < range */
bn_rand_range(int pseudo,BIGNUM * r,BIGNUM * range)227 static int bn_rand_range(int pseudo, BIGNUM *r, BIGNUM *range)
228 	{
229 	int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand;
230 	int n;
231 
232 	if (range->neg || BN_is_zero(range))
233 		{
234 		BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
235 		return 0;
236 		}
237 
238 	n = BN_num_bits(range); /* n > 0 */
239 
240 	/* BN_is_bit_set(range, n - 1) always holds */
241 
242 	if (n == 1)
243 		{
244 		if (!BN_zero(r)) return 0;
245 		}
246 	else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
247 		{
248 		/* range = 100..._2,
249 		 * so  3*range (= 11..._2)  is exactly one bit longer than  range */
250 		do
251 			{
252 			if (!bn_rand(r, n + 1, -1, 0)) return 0;
253 			/* If  r < 3*range,  use  r := r MOD range
254 			 * (which is either  r, r - range,  or  r - 2*range).
255 			 * Otherwise, iterate once more.
256 			 * Since  3*range = 11..._2, each iteration succeeds with
257 			 * probability >= .75. */
258 			if (BN_cmp(r ,range) >= 0)
259 				{
260 				if (!BN_sub(r, r, range)) return 0;
261 				if (BN_cmp(r, range) >= 0)
262 					if (!BN_sub(r, r, range)) return 0;
263 				}
264 			}
265 		while (BN_cmp(r, range) >= 0);
266 		}
267 	else
268 		{
269 		do
270 			{
271 			/* range = 11..._2  or  range = 101..._2 */
272 			if (!bn_rand(r, n, -1, 0)) return 0;
273 			}
274 		while (BN_cmp(r, range) >= 0);
275 		}
276 
277 	return 1;
278 	}
279 
280 
BN_rand_range(BIGNUM * r,BIGNUM * range)281 int	BN_rand_range(BIGNUM *r, BIGNUM *range)
282 	{
283 	return bn_rand_range(0, r, range);
284 	}
285 
BN_pseudo_rand_range(BIGNUM * r,BIGNUM * range)286 int	BN_pseudo_rand_range(BIGNUM *r, BIGNUM *range)
287 	{
288 	return bn_rand_range(1, r, range);
289 	}
290