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ec_rand.c
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1 /* crypto/bn/bn_rand.c */
2 /* Copyright (C) 1995-1998 Eric Young ([email protected])
3  * All rights reserved.
4  *
5  * This package is an SSL implementation written
6  * by Eric Young ([email protected]).
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 ([email protected]).
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 ([email protected])"
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 ([email protected])"
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
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  * ([email protected]). This product includes software written by Tim
108  * Hudson ([email protected]).
109  *
110  */
111 
112 #if defined( INC_ALL )
113  #include "ec_lcl.h"
114 #else
115  #include "bn/ec_lcl.h"
116 #endif /* Compiler-specific includes */
117 
118 #if defined( USE_ECDH ) || defined( USE_ECDSA )
119 
120 #if 1 /* pcg */
121 
122 int generateBignum( BIGNUM *bn, const int noBits, const int high, const int low );
123 
124 static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
125  {
126  int status;
127 
128  status = generateBignum( rnd, bits, top, bottom );
129  return( status ? 0 : 1 );
130  }
131 #else
132 
133 static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
134  {
135  unsigned char *buf=NULL;
136  int ret=0,bit,bytes,mask;
137  time_t tim;
138 
139  if (bits == 0)
140  {
141  BN_zero(rnd);
142  return 1;
143  }
144 
145  bytes=(bits+7)/8;
146  bit=(bits-1)%8;
147  mask=0xff<<(bit+1);
148 
149  buf=(unsigned char *)clBnAlloc( "bnrand", bytes);
150  if (buf == NULL)
151  {
152  BNerr(BN_F_BNRAND,ERR_R_MALLOC_FAILURE);
153  goto err;
154  }
155 
156  /* make a random number and set the top and bottom bits */
157  time(&tim);
158  RAND_add(&tim,sizeof(tim),0.0);
159 
160  if (pseudorand)
161  {
162  if (RAND_pseudo_bytes(buf, bytes) == -1)
163  goto err;
164  }
165  else
166  {
167  if (RAND_bytes(buf, bytes) <= 0)
168  goto err;
169  }
170 
171 #if 1
172  if (pseudorand == 2)
173  {
174  /* generate patterns that are more likely to trigger BN
175  library bugs */
176  int i;
177  unsigned char c;
178 
179  for (i = 0; i < bytes; i++)
180  {
181  RAND_pseudo_bytes(&c, 1);
182  if (c >= 128 && i > 0)
183  buf[i] = buf[i-1];
184  else if (c < 42)
185  buf[i] = 0;
186  else if (c < 84)
187  buf[i] = 255;
188  }
189  }
190 #endif
191 
192  if (top != -1)
193  {
194  if (top)
195  {
196  if (bit == 0)
197  {
198  buf[0]=1;
199  buf[1]|=0x80;
200  }
201  else
202  {
203  buf[0]|=(3<<(bit-1));
204  }
205  }
206  else
207  {
208  buf[0]|=(1<<bit);
209  }
210  }
211  buf[0] &= ~mask;
212  if (bottom) /* set bottom bit if requested */
213  buf[bytes-1]|=1;
214  if (!BN_bin2bn(buf,bytes,rnd)) goto err;
215  ret=1;
216 err:
217  if (buf != NULL)
218  {
219  OPENSSL_cleanse(buf,bytes);
220  OPENSSL_free(buf);
221  }
222  bn_check_top(rnd);
223  return(ret);
224  }
225 #endif /* 1 */
226 
227 int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
228  {
229  return bnrand(0, rnd, bits, top, bottom);
230  }
231 
232 int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
233  {
234  return bnrand(1, rnd, bits, top, bottom);
235  }
236 
237 #if 1
238 int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
239  {
240  return bnrand(2, rnd, bits, top, bottom);
241  }
242 #endif
243 
244 
245 /* random number r: 0 <= r < range */
246 static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
247  {
248  int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand;
249  int n;
250  int count = 100;
251 
252  if (range->neg || BN_is_zero(range))
253  {
255  return 0;
256  }
257 
258  n = BN_num_bits(range); /* n > 0 */
259 
260  /* BN_is_bit_set(range, n - 1) always holds */
261 
262  if (n == 1)
263  BN_zero(r);
264  else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
265  {
266  /* range = 100..._2,
267  * so 3*range (= 11..._2) is exactly one bit longer than range */
268  do
269  {
270  if (!bn_rand(r, n + 1, -1, 0)) return 0;
271  /* If r < 3*range, use r := r MOD range
272  * (which is either r, r - range, or r - 2*range).
273  * Otherwise, iterate once more.
274  * Since 3*range = 11..._2, each iteration succeeds with
275  * probability >= .75. */
276  if (BN_cmp(r ,range) >= 0)
277  {
278  if (!BN_sub(r, r, range)) return 0;
279  if (BN_cmp(r, range) >= 0)
280  if (!BN_sub(r, r, range)) return 0;
281  }
282 
283  if (!--count)
284  {
286  return 0;
287  }
288 
289  }
290  while (BN_cmp(r, range) >= 0);
291  }
292  else
293  {
294  do
295  {
296  /* range = 11..._2 or range = 101..._2 */
297  if (!bn_rand(r, n, -1, 0)) return 0;
298 
299  if (!--count)
300  {
302  return 0;
303  }
304  }
305  while (BN_cmp(r, range) >= 0);
306  }
307 
308  bn_check_top(r);
309  return 1;
310  }
311 
312 
313 int BN_rand_range(BIGNUM *r, const BIGNUM *range)
314  {
315  return bn_rand_range(0, r, range);
316  }
317 
318 int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
319  {
320  return bn_rand_range(1, r, range);
321  }
322 #endif /* USE_ECDH || USE_ECDSA */