ip6_id.c revision 120641
1/*	$KAME: ip6_id.c,v 1.13 2003/09/16 09:11:19 itojun Exp $	*/
2/*	$OpenBSD: ip_id.c,v 1.6 2002/03/15 18:19:52 millert Exp $	*/
3/* $FreeBSD: head/sys/netinet6/ip6_id.c 120641 2003-10-01 16:22:58Z ume $ */
4
5/*
6 * Copyright (C) 2003 WIDE Project.
7 * All rights reserved.
8 *
9 * Redistribution and use in source and binary forms, with or without
10 * modification, are permitted provided that the following conditions
11 * are met:
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.
20 *
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
31 * SUCH DAMAGE.
32 */
33
34/*
35 * Copyright 1998 Niels Provos <provos@citi.umich.edu>
36 * All rights reserved.
37 *
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.
42 *
43 * Redistribution and use in source and binary forms, with or without
44 * modification, are permitted provided that the following conditions
45 * are met:
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.
51 * 3. All advertising materials mentioning features or use of this software
52 *    must display the following acknowledgement:
53 *      This product includes software developed by Niels Provos.
54 * 4. The name of the author may not be used to endorse or promote products
55 *    derived from this software without specific prior written permission.
56 *
57 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
58 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
59 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
60 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
61 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
62 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
63 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
64 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
65 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
66 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
67 */
68
69/*
70 * seed = random (bits - 1) bit
71 * n = prime, g0 = generator to n,
72 * j = random so that gcd(j,n-1) == 1
73 * g = g0^j mod n will be a generator again.
74 *
75 * X[0] = random seed.
76 * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
77 * with a = 7^(even random) mod m,
78 *      b = random with gcd(b,m) == 1
79 *      m = constant and a maximal period of m-1.
80 *
81 * The transaction id is determined by:
82 * id[n] = seed xor (g^X[n] mod n)
83 *
84 * Effectivly the id is restricted to the lower (bits - 1) bits, thus
85 * yielding two different cycles by toggling the msb on and off.
86 * This avoids reuse issues caused by reseeding.
87 */
88
89#include <sys/types.h>
90#include <sys/param.h>
91#include <sys/kernel.h>
92#include <sys/socket.h>
93#include <sys/libkern.h>
94
95#include <net/if.h>
96#include <net/route.h>
97#include <netinet/in.h>
98#include <netinet/ip6.h>
99#include <netinet6/ip6_var.h>
100
101#ifdef RANDOM_IP_ID
102
103#ifndef INT32_MAX
104#define INT32_MAX	0x7fffffffU
105#endif
106
107struct randomtab {
108	const int	ru_bits; /* resulting bits */
109	const long	ru_out;	/* Time after wich will be reseeded */
110	const u_int32_t ru_max;	/* Uniq cycle, avoid blackjack prediction */
111	const u_int32_t ru_gen;	/* Starting generator */
112	const u_int32_t ru_n;	/* ru_n: prime, ru_n - 1: product of pfacts[] */
113	const u_int32_t ru_agen; /* determine ru_a as ru_agen^(2*rand) */
114	const u_int32_t ru_m;	/* ru_m = 2^x*3^y */
115	const u_int32_t pfacts[4];	/* factors of ru_n */
116
117	u_int32_t ru_counter;
118	u_int32_t ru_msb;
119
120	u_int32_t ru_x;
121	u_int32_t ru_seed, ru_seed2;
122	u_int32_t ru_a, ru_b;
123	u_int32_t ru_g;
124	long ru_reseed;
125};
126
127static struct randomtab randomtab_32 = {
128	32,			/* resulting bits */
129	180,			/* Time after wich will be reseeded */
130	1000000000,		/* Uniq cycle, avoid blackjack prediction */
131	2,			/* Starting generator */
132	2147483629,		/* RU_N-1 = 2^2*3^2*59652323 */
133	7,			/* determine ru_a as RU_AGEN^(2*rand) */
134	1836660096,		/* RU_M = 2^7*3^15 - don't change */
135	{ 2, 3, 59652323, 0 },	/* factors of ru_n */
136};
137
138static u_int32_t pmod(u_int32_t, u_int32_t, u_int32_t);
139static void initid(struct randomtab *);
140static u_int32_t randomid(struct randomtab *);
141
142/*
143 * Do a fast modular exponation, returned value will be in the range
144 * of 0 - (mod-1)
145 */
146
147static u_int32_t
148pmod(u_int32_t gen, u_int32_t expo, u_int32_t mod)
149{
150	u_int64_t s, t, u;
151
152	s = 1;
153	t = gen;
154	u = expo;
155
156	while (u) {
157		if (u & 1)
158			s = (s * t) % mod;
159		u >>= 1;
160		t = (t * t) % mod;
161	}
162	return (s);
163}
164
165/*
166 * Initalizes the seed and chooses a suitable generator. Also toggles
167 * the msb flag. The msb flag is used to generate two distinct
168 * cycles of random numbers and thus avoiding reuse of ids.
169 *
170 * This function is called from id_randomid() when needed, an
171 * application does not have to worry about it.
172 */
173static void
174initid(struct randomtab *p)
175{
176	u_int32_t j, i;
177	int noprime = 1;
178
179	p->ru_x = arc4random() % p->ru_m;
180
181	/* (bits - 1) bits of random seed */
182	p->ru_seed = arc4random() & (~0U >> (32 - p->ru_bits + 1));
183	p->ru_seed2 = arc4random() & (~0U >> (32 - p->ru_bits + 1));
184
185	/* Determine the LCG we use */
186	p->ru_b = (arc4random() & (~0U >> (32 - p->ru_bits))) | 1;
187	p->ru_a = pmod(p->ru_agen,
188	    (arc4random() & (~0U >> (32 - p->ru_bits))) & (~1U), p->ru_m);
189	while (p->ru_b % 3 == 0)
190		p->ru_b += 2;
191
192	j = arc4random() % p->ru_n;
193
194	/*
195	 * Do a fast gcd(j, RU_N - 1), so we can find a j with
196	 * gcd(j, RU_N - 1) == 1, giving a new generator for
197	 * RU_GEN^j mod RU_N
198	 */
199	while (noprime) {
200		for (i = 0; p->pfacts[i] > 0; i++)
201			if (j % p->pfacts[i] == 0)
202				break;
203
204		if (p->pfacts[i] == 0)
205			noprime = 0;
206		else
207			j = (j + 1) % p->ru_n;
208	}
209
210	p->ru_g = pmod(p->ru_gen, j, p->ru_n);
211	p->ru_counter = 0;
212
213	p->ru_reseed = time_second + p->ru_out;
214	p->ru_msb = p->ru_msb ? 0 : (1U << (p->ru_bits - 1));
215}
216
217static u_int32_t
218randomid(struct randomtab *p)
219{
220	int i, n;
221	u_int32_t tmp;
222
223	if (p->ru_counter >= p->ru_max || time_second > p->ru_reseed)
224		initid(p);
225
226	tmp = arc4random();
227
228	/* Skip a random number of ids */
229	n = tmp & 0x3; tmp = tmp >> 2;
230	if (p->ru_counter + n >= p->ru_max)
231		initid(p);
232
233	for (i = 0; i <= n; i++) {
234		/* Linear Congruential Generator */
235		p->ru_x = (u_int32_t)((u_int64_t)p->ru_a * p->ru_x + p->ru_b) % p->ru_m;
236	}
237
238	p->ru_counter += i;
239
240	return (p->ru_seed ^ pmod(p->ru_g, p->ru_seed2 ^ p->ru_x, p->ru_n)) |
241	    p->ru_msb;
242}
243
244u_int32_t
245ip6_randomid(void)
246{
247
248	return randomid(&randomtab_32);
249}
250
251#endif /* RANDOM_IP_ID */
252