1 /* $NetBSD: randomid.c,v 1.12.26.1 2008/11/08 21:45:38 christos Exp $ */
2 /* $KAME: ip6_id.c,v 1.8 2003/09/06 13:41:06 itojun Exp $ */
3 /* $OpenBSD: ip_id.c,v 1.6 2002/03/15 18:19:52 millert Exp $ */
6 * Copyright (C) 2003 WIDE Project.
9 * Redistribution and use in source and binary forms, with or without
10 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
14 * 2. Redistributions in binary form must reproduce the above copyright
15 * notice, this list of conditions and the following disclaimer in the
16 * documentation and/or other materials provided with the distribution.
17 * 3. Neither the name of the project nor the names of its contributors
18 * may be used to endorse or promote products derived from this software
19 * without specific prior written permission.
21 * THIS SOFTWARE IS PROVIDED BY THE PROJECT AND CONTRIBUTORS ``AS IS'' AND
22 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
23 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
24 * ARE DISCLAIMED. IN NO EVENT SHALL THE PROJECT OR CONTRIBUTORS BE LIABLE
25 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
26 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
27 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
28 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
29 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
30 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
35 * Copyright 1998 Niels Provos <provos@citi.umich.edu>
36 * All rights reserved.
38 * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using
39 * such a mathematical system to generate more random (yet non-repeating)
40 * ids to solve the resolver/named problem. But Niels designed the
41 * actual system based on the constraints.
43 * Redistribution and use in source and binary forms, with or without
44 * modification, are permitted provided that the following conditions
46 * 1. Redistributions of source code must retain the above copyright
47 * notice, this list of conditions and the following disclaimer.
48 * 2. Redistributions in binary form must reproduce the above copyright
49 * notice, this list of conditions and the following disclaimer in the
50 * documentation and/or other materials provided with the distribution.
52 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
53 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
54 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
55 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
56 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
57 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
58 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
59 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
60 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
61 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
65 * seed = random (bits - 1) bit
66 * n = prime, g0 = generator to n,
67 * j = random so that gcd(j,n-1) == 1
68 * g = g0^j mod n will be a generator again.
71 * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
72 * with a = 7^(even random) mod m,
73 * b = random with gcd(b,m) == 1
74 * m = constant and a maximal period of m-1.
76 * The transaction id is determined by:
77 * id[n] = seed xor (g^X[n] mod n)
79 * Effectivly the id is restricted to the lower (bits - 1) bits, thus
80 * yielding two different cycles by toggling the msb on and off.
81 * This avoids reuse issues caused by reseeding.
84 #include <sys/cdefs.h>
85 #if defined(LIBC_SCCS) && !defined(lint)
86 __RCSID("$NetBSD: randomid.c,v 1.12.26.1 2008/11/08 21:45:38 christos Exp $");
89 #include "namespace.h"
91 #include <sys/types.h>
99 __weak_alias(randomid
,_randomid
)
100 __weak_alias(randomid_new
,_randomid_new
)
101 __weak_alias(randomid_delete
,_randomid_delete
)
105 const int rc_bits
; /* resulting bits */
106 const u_int32_t rc_max
; /* Uniq cycle, avoid blackjack prediction */
107 const u_int32_t rc_gen
; /* Starting generator */
108 const u_int32_t rc_n
; /* ru_n: prime, ru_n - 1: product of pfacts[] */
109 const u_int32_t rc_agen
; /* determine ru_a as ru_agen^(2*rand) */
110 const u_int32_t rc_m
; /* ru_m = 2^x*3^y */
111 const u_int32_t rc_pfacts
[4]; /* factors of ru_n */
112 const int rc_skip
; /* skip values */
115 struct randomid_ctx
{
116 struct randomconf
*ru_conf
;
117 #define ru_bits ru_conf->rc_bits
118 #define ru_max ru_conf->rc_max
119 #define ru_gen ru_conf->rc_gen
120 #define ru_n ru_conf->rc_n
121 #define ru_agen ru_conf->rc_agen
122 #define ru_m ru_conf->rc_m
123 #define ru_pfacts ru_conf->rc_pfacts
124 #define ru_skip ru_conf->rc_skip
125 long ru_out
; /* Time after wich will be reseeded */
126 u_int32_t ru_counter
;
130 u_int32_t ru_seed
, ru_seed2
;
131 u_int32_t ru_a
, ru_b
;
136 static struct randomconf randomconf
[] = {
138 32, /* resulting bits */
139 1000000000, /* Uniq cycle, avoid blackjack prediction */
140 2, /* Starting generator */
141 2147483629, /* RU_N-1 = 2^2*3^2*59652323 */
142 7, /* determine ru_a as RU_AGEN^(2*rand) */
143 1836660096, /* RU_M = 2^7*3^15 - don't change */
144 { 2, 3, 59652323, 0 }, /* factors of ru_n */
148 20, /* resulting bits */
149 200000, /* Uniq cycle, avoid blackjack prediction */
150 2, /* Starting generator */
151 524269, /* RU_N-1 = 2^2*3^2*14563 */
152 7, /* determine ru_a as RU_AGEN^(2*rand) */
153 279936, /* RU_M = 2^7*3^7 - don't change */
154 { 2, 3, 14563, 0 }, /* factors of ru_n */
158 16, /* resulting bits */
159 30000, /* Uniq cycle, avoid blackjack prediction */
160 2, /* Starting generator */
161 32749, /* RU_N-1 = 2^2*3*2729 */
162 7, /* determine ru_a as RU_AGEN^(2*rand) */
163 31104, /* RU_M = 2^7*3^5 - don't change */
164 { 2, 3, 2729, 0 }, /* factors of ru_n */
168 .rc_bits
= -1, /* termination */
172 static u_int32_t
pmod(u_int32_t
, u_int32_t
, u_int32_t
);
173 static void initid(struct randomid_ctx
*);
175 struct randomid_ctx
*randomid_new(int, long);
176 void randomid_delete(struct randomid_ctx
*);
177 u_int32_t
randomid(struct randomid_ctx
*);
180 * Do a fast modular exponation, returned value will be in the range
185 pmod(u_int32_t gen
, u_int32_t expo
, u_int32_t mod
)
199 return ((u_int32_t
)s
& UINT32_MAX
);
203 * Initalizes the seed and chooses a suitable generator. Also toggles
204 * the msb flag. The msb flag is used to generate two distinct
205 * cycles of random numbers and thus avoiding reuse of ids.
207 * This function is called from id_randomid() when needed, an
208 * application does not have to worry about it.
211 initid(struct randomid_ctx
*p
)
217 p
->ru_x
= arc4random() % p
->ru_m
;
219 /* (bits - 1) bits of random seed */
220 p
->ru_seed
= arc4random() & (~0U >> (32 - p
->ru_bits
+ 1));
221 p
->ru_seed2
= arc4random() & (~0U >> (32 - p
->ru_bits
+ 1));
223 /* Determine the LCG we use */
224 p
->ru_b
= (arc4random() & (~0U >> (32 - p
->ru_bits
))) | 1;
225 p
->ru_a
= pmod(p
->ru_agen
,
226 (arc4random() & (~0U >> (32 - p
->ru_bits
))) & (~1U), p
->ru_m
);
227 while (p
->ru_b
% 3 == 0)
230 j
= arc4random() % p
->ru_n
;
233 * Do a fast gcd(j, RU_N - 1), so we can find a j with
234 * gcd(j, RU_N - 1) == 1, giving a new generator for
238 for (i
= 0; p
->ru_pfacts
[i
] > 0; i
++)
239 if (j
% p
->ru_pfacts
[i
] == 0)
242 if (p
->ru_pfacts
[i
] == 0)
245 j
= (j
+ 1) % p
->ru_n
;
248 p
->ru_g
= pmod(p
->ru_gen
, j
, p
->ru_n
);
251 gettimeofday(&tv
, NULL
);
252 p
->ru_reseed
= tv
.tv_sec
+ p
->ru_out
;
253 p
->ru_msb
= p
->ru_msb
? 0 : (1U << (p
->ru_bits
- 1));
256 struct randomid_ctx
*
257 randomid_new(int bits
, long timeo
)
259 struct randomconf
*conf
;
260 struct randomid_ctx
*ctx
;
262 if (timeo
< RANDOMID_TIMEO_MIN
) {
267 for (conf
= randomconf
; conf
->rc_bits
> 0; conf
++) {
268 if (bits
== conf
->rc_bits
)
272 /* unsupported bits */
273 if (bits
!= conf
->rc_bits
) {
278 ctx
= malloc(sizeof(*ctx
));
282 memset(ctx
, 0, sizeof(*ctx
));
290 randomid_delete(struct randomid_ctx
*ctx
)
293 memset(ctx
, 0, sizeof(*ctx
));
298 randomid(struct randomid_ctx
*p
)
303 gettimeofday(&tv
, NULL
);
304 if (p
->ru_counter
>= p
->ru_max
|| tv
.tv_sec
> p
->ru_reseed
)
307 /* Skip a random number of ids */
309 n
= arc4random() & p
->ru_skip
;
310 if (p
->ru_counter
+ n
>= p
->ru_max
)
315 for (i
= 0; i
<= n
; i
++) {
316 /* Linear Congruential Generator */
317 p
->ru_x
= (u_int32_t
)(((u_int64_t
)p
->ru_a
* p
->ru_x
+ p
->ru_b
) % p
->ru_m
);
322 return (p
->ru_seed
^ pmod(p
->ru_g
, p
->ru_seed2
+ p
->ru_x
, p
->ru_n
)) |