ip6_id.c revision 259065
1/*-
2 * Copyright (C) 2003 WIDE Project.
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 *    notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 *    notice, this list of conditions and the following disclaimer in the
12 *    documentation and/or other materials provided with the distribution.
13 * 3. Neither the name of the project nor the names of its contributors
14 *    may be used to endorse or promote products derived from this software
15 *    without specific prior written permission.
16 *
17 * THIS SOFTWARE IS PROVIDED BY THE PROJECT AND CONTRIBUTORS ``AS IS'' AND
18 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20 * ARE DISCLAIMED.  IN NO EVENT SHALL THE PROJECT OR CONTRIBUTORS BE LIABLE
21 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
22 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
23 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
24 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
25 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
26 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
27 * SUCH DAMAGE.
28 *
29 *	$KAME: ip6_id.c,v 1.13 2003/09/16 09:11:19 itojun Exp $
30 */
31
32/*-
33 * Copyright 1998 Niels Provos <provos@citi.umich.edu>
34 * All rights reserved.
35 *
36 * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using
37 * such a mathematical system to generate more random (yet non-repeating)
38 * ids to solve the resolver/named problem.  But Niels designed the
39 * actual system based on the constraints.
40 *
41 * Redistribution and use in source and binary forms, with or without
42 * modification, are permitted provided that the following conditions
43 * are met:
44 * 1. Redistributions of source code must retain the above copyright
45 *    notice, this list of conditions and the following disclaimer.
46 * 2. Redistributions in binary form must reproduce the above copyright
47 *    notice, this list of conditions and the following disclaimer in the
48 *    documentation and/or other materials provided with the distribution.
49 * 3. All advertising materials mentioning features or use of this software
50 *    must display the following acknowledgement:
51 *      This product includes software developed by Niels Provos.
52 * 4. The name of the author may not be used to endorse or promote products
53 *    derived from this software without specific prior written permission.
54 *
55 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
56 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
57 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
58 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
59 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
60 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
61 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
62 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
63 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
64 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
65 *
66 * $OpenBSD: ip_id.c,v 1.6 2002/03/15 18:19:52 millert Exp $
67 */
68
69#include <sys/cdefs.h>
70__FBSDID("$FreeBSD: releng/10.0/sys/netinet6/ip6_id.c 253970 2013-08-05 20:13:02Z hrs $");
71
72/*
73 * seed = random (bits - 1) bit
74 * n = prime, g0 = generator to n,
75 * j = random so that gcd(j,n-1) == 1
76 * g = g0^j mod n will be a generator again.
77 *
78 * X[0] = random seed.
79 * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
80 * with a = 7^(even random) mod m,
81 *      b = random with gcd(b,m) == 1
82 *      m = constant and a maximal period of m-1.
83 *
84 * The transaction id is determined by:
85 * id[n] = seed xor (g^X[n] mod n)
86 *
87 * Effectivly the id is restricted to the lower (bits - 1) bits, thus
88 * yielding two different cycles by toggling the msb on and off.
89 * This avoids reuse issues caused by reseeding.
90 */
91
92#include <sys/types.h>
93#include <sys/param.h>
94#include <sys/kernel.h>
95#include <sys/socket.h>
96#include <sys/libkern.h>
97
98#include <net/if.h>
99#include <net/route.h>
100#include <netinet/in.h>
101#include <netinet/ip6.h>
102#include <netinet6/ip6_var.h>
103
104#ifndef INT32_MAX
105#define INT32_MAX	0x7fffffffU
106#endif
107
108struct randomtab {
109	const int	ru_bits; /* resulting bits */
110	const long	ru_out;	/* Time after wich will be reseeded */
111	const u_int32_t ru_max;	/* Uniq cycle, avoid blackjack prediction */
112	const u_int32_t ru_gen;	/* Starting generator */
113	const u_int32_t ru_n;	/* ru_n: prime, ru_n - 1: product of pfacts[] */
114	const u_int32_t ru_agen; /* determine ru_a as ru_agen^(2*rand) */
115	const u_int32_t ru_m;	/* ru_m = 2^x*3^y */
116	const u_int32_t pfacts[4];	/* factors of ru_n */
117
118	u_int32_t ru_counter;
119	u_int32_t ru_msb;
120
121	u_int32_t ru_x;
122	u_int32_t ru_seed, ru_seed2;
123	u_int32_t ru_a, ru_b;
124	u_int32_t ru_g;
125	long ru_reseed;
126};
127
128static struct randomtab randomtab_32 = {
129	32,			/* resulting bits */
130	180,			/* Time after wich will be reseeded */
131	1000000000,		/* Uniq cycle, avoid blackjack prediction */
132	2,			/* Starting generator */
133	2147483629,		/* RU_N-1 = 2^2*3^2*59652323 */
134	7,			/* determine ru_a as RU_AGEN^(2*rand) */
135	1836660096,		/* RU_M = 2^7*3^15 - don't change */
136	{ 2, 3, 59652323, 0 },	/* factors of ru_n */
137};
138
139static struct randomtab randomtab_20 = {
140	20,			/* resulting bits */
141	180,			/* Time after wich will be reseeded */
142	200000,			/* Uniq cycle, avoid blackjack prediction */
143	2,			/* Starting generator */
144	524269,			/* RU_N-1 = 2^2*3^2*14563 */
145	7,			/* determine ru_a as RU_AGEN^(2*rand) */
146	279936,			/* RU_M = 2^7*3^7 - don't change */
147	{ 2, 3, 14563, 0 },	/* factors of ru_n */
148};
149
150static u_int32_t pmod(u_int32_t, u_int32_t, u_int32_t);
151static void initid(struct randomtab *);
152static u_int32_t randomid(struct randomtab *);
153
154/*
155 * Do a fast modular exponation, returned value will be in the range
156 * of 0 - (mod-1)
157 */
158static u_int32_t
159pmod(u_int32_t gen, u_int32_t expo, u_int32_t mod)
160{
161	u_int64_t s, t, u;
162
163	s = 1;
164	t = gen;
165	u = expo;
166
167	while (u) {
168		if (u & 1)
169			s = (s * t) % mod;
170		u >>= 1;
171		t = (t * t) % mod;
172	}
173	return (s);
174}
175
176/*
177 * Initalizes the seed and chooses a suitable generator. Also toggles
178 * the msb flag. The msb flag is used to generate two distinct
179 * cycles of random numbers and thus avoiding reuse of ids.
180 *
181 * This function is called from id_randomid() when needed, an
182 * application does not have to worry about it.
183 */
184static void
185initid(struct randomtab *p)
186{
187	u_int32_t j, i;
188	int noprime = 1;
189
190	p->ru_x = arc4random() % p->ru_m;
191
192	/* (bits - 1) bits of random seed */
193	p->ru_seed = arc4random() & (~0U >> (32 - p->ru_bits + 1));
194	p->ru_seed2 = arc4random() & (~0U >> (32 - p->ru_bits + 1));
195
196	/* Determine the LCG we use */
197	p->ru_b = (arc4random() & (~0U >> (32 - p->ru_bits))) | 1;
198	p->ru_a = pmod(p->ru_agen,
199	    (arc4random() & (~0U >> (32 - p->ru_bits))) & (~1U), p->ru_m);
200	while (p->ru_b % 3 == 0)
201		p->ru_b += 2;
202
203	j = arc4random() % p->ru_n;
204
205	/*
206	 * Do a fast gcd(j, RU_N - 1), so we can find a j with
207	 * gcd(j, RU_N - 1) == 1, giving a new generator for
208	 * RU_GEN^j mod RU_N
209	 */
210	while (noprime) {
211		for (i = 0; p->pfacts[i] > 0; i++)
212			if (j % p->pfacts[i] == 0)
213				break;
214
215		if (p->pfacts[i] == 0)
216			noprime = 0;
217		else
218			j = (j + 1) % p->ru_n;
219	}
220
221	p->ru_g = pmod(p->ru_gen, j, p->ru_n);
222	p->ru_counter = 0;
223
224	p->ru_reseed = time_uptime + p->ru_out;
225	p->ru_msb = p->ru_msb ? 0 : (1U << (p->ru_bits - 1));
226}
227
228static u_int32_t
229randomid(struct randomtab *p)
230{
231	int i, n;
232	u_int32_t tmp;
233
234	if (p->ru_counter >= p->ru_max || time_uptime > p->ru_reseed)
235		initid(p);
236
237	tmp = arc4random();
238
239	/* Skip a random number of ids */
240	n = tmp & 0x3; tmp = tmp >> 2;
241	if (p->ru_counter + n >= p->ru_max)
242		initid(p);
243
244	for (i = 0; i <= n; i++) {
245		/* Linear Congruential Generator */
246		p->ru_x = (u_int32_t)((u_int64_t)p->ru_a * p->ru_x + p->ru_b) % p->ru_m;
247	}
248
249	p->ru_counter += i;
250
251	return (p->ru_seed ^ pmod(p->ru_g, p->ru_seed2 ^ p->ru_x, p->ru_n)) |
252	    p->ru_msb;
253}
254
255u_int32_t
256ip6_randomid(void)
257{
258
259	return randomid(&randomtab_32);
260}
261
262u_int32_t
263ip6_randomflowlabel(void)
264{
265
266	return randomid(&randomtab_20) & 0xfffff;
267}
268