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      1 /* crypto/bn/bn_rand.c */
      2 /* Copyright (C) 1995-1998 Eric Young (eay (at) cryptsoft.com)
      3  * All rights reserved.
      4  *
      5  * This package is an SSL implementation written
      6  * by Eric Young (eay (at) 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 (at) 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 (at) 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 (at) 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 (at) 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 (at) cryptsoft.com).  This product includes software written by Tim
    108  * Hudson (tjh (at) 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 
    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 	time_t tim;
    123 
    124 	if (bits == 0)
    125 		{
    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 		{
    137 		BNerr(BN_F_BNRAND,ERR_R_MALLOC_FAILURE);
    138 		goto err;
    139 		}
    140 
    141 	/* make a random number and set the top and bottom bits */
    142 	time(&tim);
    143 	RAND_add(&tim,sizeof(tim),0.0);
    144 
    145 	if (pseudorand)
    146 		{
    147 		if (RAND_pseudo_bytes(buf, bytes) == -1)
    148 			goto err;
    149 		}
    150 	else
    151 		{
    152 		if (RAND_bytes(buf, bytes) <= 0)
    153 			goto err;
    154 		}
    155 
    156 #if 1
    157 	if (pseudorand == 2)
    158 		{
    159 		/* generate patterns that are more likely to trigger BN
    160 		   library bugs */
    161 		int i;
    162 		unsigned char c;
    163 
    164 		for (i = 0; i < bytes; i++)
    165 			{
    166 			RAND_pseudo_bytes(&c, 1);
    167 			if (c >= 128 && i > 0)
    168 				buf[i] = buf[i-1];
    169 			else if (c < 42)
    170 				buf[i] = 0;
    171 			else if (c < 84)
    172 				buf[i] = 255;
    173 			}
    174 		}
    175 #endif
    176 
    177 	if (top != -1)
    178 		{
    179 		if (top)
    180 			{
    181 			if (bit == 0)
    182 				{
    183 				buf[0]=1;
    184 				buf[1]|=0x80;
    185 				}
    186 			else
    187 				{
    188 				buf[0]|=(3<<(bit-1));
    189 				}
    190 			}
    191 		else
    192 			{
    193 			buf[0]|=(1<<bit);
    194 			}
    195 		}
    196 	buf[0] &= ~mask;
    197 	if (bottom) /* set bottom bit if requested */
    198 		buf[bytes-1]|=1;
    199 	if (!BN_bin2bn(buf,bytes,rnd)) goto err;
    200 	ret=1;
    201 err:
    202 	if (buf != NULL)
    203 		{
    204 		OPENSSL_cleanse(buf,bytes);
    205 		OPENSSL_free(buf);
    206 		}
    207 	bn_check_top(rnd);
    208 	return(ret);
    209 	}
    210 
    211 int     BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
    212 	{
    213 	return bnrand(0, rnd, bits, top, bottom);
    214 	}
    215 
    216 int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
    217 	{
    218 	return bnrand(1, rnd, bits, top, bottom);
    219 	}
    220 
    221 #if 1
    222 int     BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
    223 	{
    224 	return bnrand(2, rnd, bits, top, bottom);
    225 	}
    226 #endif
    227 
    228 
    229 /* random number r:  0 <= r < range */
    230 static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
    231 	{
    232 	int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand;
    233 	int n;
    234 	int count = 100;
    235 
    236 	if (range->neg || BN_is_zero(range))
    237 		{
    238 		BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
    239 		return 0;
    240 		}
    241 
    242 	n = BN_num_bits(range); /* n > 0 */
    243 
    244 	/* BN_is_bit_set(range, n - 1) always holds */
    245 
    246 	if (n == 1)
    247 		BN_zero(r);
    248 	else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
    249 		{
    250 		/* range = 100..._2,
    251 		 * so  3*range (= 11..._2)  is exactly one bit longer than  range */
    252 		do
    253 			{
    254 			if (!bn_rand(r, n + 1, -1, 0)) return 0;
    255 			/* If  r < 3*range,  use  r := r MOD range
    256 			 * (which is either  r, r - range,  or  r - 2*range).
    257 			 * Otherwise, iterate once more.
    258 			 * Since  3*range = 11..._2, each iteration succeeds with
    259 			 * probability >= .75. */
    260 			if (BN_cmp(r ,range) >= 0)
    261 				{
    262 				if (!BN_sub(r, r, range)) return 0;
    263 				if (BN_cmp(r, range) >= 0)
    264 					if (!BN_sub(r, r, range)) return 0;
    265 				}
    266 
    267 			if (!--count)
    268 				{
    269 				BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
    270 				return 0;
    271 				}
    272 
    273 			}
    274 		while (BN_cmp(r, range) >= 0);
    275 		}
    276 	else
    277 		{
    278 		do
    279 			{
    280 			/* range = 11..._2  or  range = 101..._2 */
    281 			if (!bn_rand(r, n, -1, 0)) return 0;
    282 
    283 			if (!--count)
    284 				{
    285 				BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
    286 				return 0;
    287 				}
    288 			}
    289 		while (BN_cmp(r, range) >= 0);
    290 		}
    291 
    292 	bn_check_top(r);
    293 	return 1;
    294 	}
    295 
    296 
    297 int	BN_rand_range(BIGNUM *r, const BIGNUM *range)
    298 	{
    299 	return bn_rand_range(0, r, range);
    300 	}
    301 
    302 int	BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
    303 	{
    304 	return bn_rand_range(1, r, range);
    305 	}
    306