1/*-
2 * SPDX-License-Identifier: (BSD-3-Clause AND BSD-2-Clause)
3 *
4 * Copyright (C) 2003 WIDE Project.
5 * All rights reserved.
6 *
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
9 * are met:
10 * 1. Redistributions of source code must retain the above copyright
11 *    notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 *    notice, this list of conditions and the following disclaimer in the
14 *    documentation and/or other materials provided with the distribution.
15 * 3. Neither the name of the project nor the names of its contributors
16 *    may be used to endorse or promote products derived from this software
17 *    without specific prior written permission.
18 *
19 * THIS SOFTWARE IS PROVIDED BY THE PROJECT AND CONTRIBUTORS ``AS IS'' AND
20 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
21 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
22 * ARE DISCLAIMED.  IN NO EVENT SHALL THE PROJECT OR CONTRIBUTORS BE LIABLE
23 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
24 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
25 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
26 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
27 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
28 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
29 * SUCH DAMAGE.
30 *
31 *	$KAME: ip6_id.c,v 1.13 2003/09/16 09:11:19 itojun Exp $
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 *
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.
62 *
63 * $OpenBSD: ip6_id.c,v 1.3 2003/12/12 06:57:12 itojun Exp $
64 */
65
66#include <sys/cdefs.h>
67/*
68 * seed = random (bits - 1) bit
69 * n = prime, g0 = generator to n,
70 * j = random so that gcd(j,n-1) == 1
71 * g = g0^j mod n will be a generator again.
72 *
73 * X[0] = random seed.
74 * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
75 * with a = 7^(even random) mod m,
76 *      b = random with gcd(b,m) == 1
77 *      m = constant and a maximal period of m-1.
78 *
79 * The transaction id is determined by:
80 * id[n] = seed xor (g^X[n] mod n)
81 *
82 * Effectively the id is restricted to the lower (bits - 1) bits, thus
83 * yielding two different cycles by toggling the msb on and off.
84 * This avoids reuse issues caused by reseeding.
85 */
86
87#include <sys/types.h>
88#include <sys/param.h>
89#include <sys/kernel.h>
90#include <sys/random.h>
91#include <sys/socket.h>
92#include <sys/libkern.h>
93
94#include <net/if.h>
95#include <net/route.h>
96#include <net/vnet.h>
97#include <netinet/in.h>
98#include <netinet/ip6.h>
99#include <netinet6/ip6_var.h>
100
101#ifndef INT32_MAX
102#define INT32_MAX	0x7fffffffU
103#endif
104
105struct randomtab {
106	const int	ru_bits; /* resulting bits */
107	const long	ru_out;	/* Time after which will be reseeded */
108	const u_int32_t ru_max;	/* Uniq cycle, avoid blackjack prediction */
109	const u_int32_t ru_gen;	/* Starting generator */
110	const u_int32_t ru_n;	/* ru_n: prime, ru_n - 1: product of pfacts[] */
111	const u_int32_t ru_agen; /* determine ru_a as ru_agen^(2*rand) */
112	const u_int32_t ru_m;	/* ru_m = 2^x*3^y */
113	const u_int32_t pfacts[4];	/* factors of ru_n */
114
115	u_int32_t ru_counter;
116	u_int32_t ru_msb;
117
118	u_int32_t ru_x;
119	u_int32_t ru_seed, ru_seed2;
120	u_int32_t ru_a, ru_b;
121	u_int32_t ru_g;
122	long ru_reseed;
123};
124
125static struct randomtab randomtab_32 = {
126	32,			/* resulting bits */
127	180,			/* Time after which will be reseeded */
128	1000000000,		/* Uniq cycle, avoid blackjack prediction */
129	2,			/* Starting generator */
130	2147483629,		/* RU_N-1 = 2^2*3^2*59652323 */
131	7,			/* determine ru_a as RU_AGEN^(2*rand) */
132	1836660096,		/* RU_M = 2^7*3^15 - don't change */
133	{ 2, 3, 59652323, 0 },	/* factors of ru_n */
134};
135
136static struct randomtab randomtab_20 = {
137	20,			/* resulting bits */
138	180,			/* Time after which will be reseeded */
139	200000,			/* Uniq cycle, avoid blackjack prediction */
140	2,			/* Starting generator */
141	524269,			/* RU_N-1 = 2^2*3^2*14563 */
142	7,			/* determine ru_a as RU_AGEN^(2*rand) */
143	279936,			/* RU_M = 2^7*3^7 - don't change */
144	{ 2, 3, 14563, 0 },	/* factors of ru_n */
145};
146
147static u_int32_t pmod(u_int32_t, u_int32_t, u_int32_t);
148static void initid(struct randomtab *);
149static u_int32_t randomid(struct randomtab *);
150
151/*
152 * Do a fast modular exponation, returned value will be in the range
153 * of 0 - (mod-1)
154 */
155static u_int32_t
156pmod(u_int32_t gen, u_int32_t expo, u_int32_t mod)
157{
158	u_int64_t s, t, u;
159
160	s = 1;
161	t = gen;
162	u = expo;
163
164	while (u) {
165		if (u & 1)
166			s = (s * t) % mod;
167		u >>= 1;
168		t = (t * t) % mod;
169	}
170	return (s);
171}
172
173/*
174 * Initializes the seed and chooses a suitable generator. Also toggles
175 * the msb flag. The msb flag is used to generate two distinct
176 * cycles of random numbers and thus avoiding reuse of ids.
177 *
178 * This function is called from id_randomid() when needed, an
179 * application does not have to worry about it.
180 */
181static void
182initid(struct randomtab *p)
183{
184	u_int32_t j, i;
185	int noprime = 1;
186
187	p->ru_x = arc4random() % p->ru_m;
188
189	/* (bits - 1) bits of random seed */
190	p->ru_seed = arc4random() & (~0U >> (32 - p->ru_bits + 1));
191	p->ru_seed2 = arc4random() & (~0U >> (32 - p->ru_bits + 1));
192
193	/* Determine the LCG we use */
194	p->ru_b = (arc4random() & (~0U >> (32 - p->ru_bits))) | 1;
195	p->ru_a = pmod(p->ru_agen,
196	    (arc4random() & (~0U >> (32 - p->ru_bits))) & (~1U), p->ru_m);
197	while (p->ru_b % 3 == 0)
198		p->ru_b += 2;
199
200	j = arc4random() % p->ru_n;
201
202	/*
203	 * Do a fast gcd(j, RU_N - 1), so we can find a j with
204	 * gcd(j, RU_N - 1) == 1, giving a new generator for
205	 * RU_GEN^j mod RU_N
206	 */
207	while (noprime) {
208		for (i = 0; p->pfacts[i] > 0; i++)
209			if (j % p->pfacts[i] == 0)
210				break;
211
212		if (p->pfacts[i] == 0)
213			noprime = 0;
214		else
215			j = (j + 1) % p->ru_n;
216	}
217
218	p->ru_g = pmod(p->ru_gen, j, p->ru_n);
219	p->ru_counter = 0;
220
221	p->ru_reseed = time_uptime + p->ru_out;
222	p->ru_msb = p->ru_msb ? 0 : (1U << (p->ru_bits - 1));
223}
224
225static u_int32_t
226randomid(struct randomtab *p)
227{
228	int i, n;
229
230	if (p->ru_counter >= p->ru_max || time_uptime > p->ru_reseed)
231		initid(p);
232
233	/* Skip a random number of ids */
234	n = arc4random() & 0x3;
235	if (p->ru_counter + n >= p->ru_max)
236		initid(p);
237
238	for (i = 0; i <= n; i++) {
239		/* Linear Congruential Generator */
240		p->ru_x = (u_int32_t)((u_int64_t)p->ru_a * p->ru_x + p->ru_b) % p->ru_m;
241	}
242
243	p->ru_counter += i;
244
245	return (p->ru_seed ^ pmod(p->ru_g, p->ru_seed2 + p->ru_x, p->ru_n)) |
246	    p->ru_msb;
247}
248
249u_int32_t
250ip6_randomid(void)
251{
252
253	return randomid(&randomtab_32);
254}
255
256u_int32_t
257ip6_randomflowlabel(void)
258{
259
260	/*
261	 * It's ok to emit zero flow labels early, before random is available
262	 * (seeded).  RFC 6437:
263	 *
264	 * "A Flow Label of zero is used to indicate packets that have not been
265	 * labeled."
266	 */
267	if (__predict_false(!is_random_seeded()))
268		return (0);
269
270	return randomid(&randomtab_20) & 0xfffff;
271}
272