1 /* $NetBSD: ip6_id.c,v 1.15 2006/06/07 22:34:03 kardel 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 * Effectively 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 __KERNEL_RCSID(0, "$NetBSD: ip6_id.c,v 1.15 2006/06/07 22:34:03 kardel Exp $");
87 #include <sys/param.h>
88 #include <lib/libkern/libkern.h>
91 #include <netinet/in.h>
92 #include <netinet/ip6.h>
93 #include <netinet6/ip6_var.h>
96 const int ru_bits
; /* resulting bits */
97 const long ru_out
; /* Time after wich will be reseeded */
98 const u_int32_t ru_max
; /* Uniq cycle, avoid blackjack prediction */
99 const u_int32_t ru_gen
; /* Starting generator */
100 const u_int32_t ru_n
; /* ru_n: prime, ru_n - 1: product of pfacts[] */
101 const u_int32_t ru_agen
; /* determine ru_a as ru_agen^(2*rand) */
102 const u_int32_t ru_m
; /* ru_m = 2^x*3^y */
103 const u_int32_t ru_pfacts
[4]; /* factors of ru_n */
105 u_int32_t ru_counter
;
109 u_int32_t ru_seed
, ru_seed2
;
110 u_int32_t ru_a
, ru_b
;
115 static struct randomtab randomtab_32
= {
116 .ru_bits
= 32, /* resulting bits */
117 .ru_out
= 180, /* Time after wich will be reseeded */
118 .ru_max
= 1000000000, /* Uniq cycle, avoid blackjack prediction */
119 .ru_gen
= 2, /* Starting generator */
120 .ru_n
= 2147483629, /* RU_N-1 = 2^2*3^2*59652323 */
121 .ru_agen
= 7, /* determine ru_a as RU_AGEN^(2*rand) */
122 .ru_m
= 1836660096, /* RU_M = 2^7*3^15 - don't change */
123 .ru_pfacts
= { 2, 3, 59652323, 0 }, /* factors of ru_n */
126 static struct randomtab randomtab_20
= {
127 .ru_bits
= 20, /* resulting bits */
128 .ru_out
= 180, /* Time after wich will be reseeded */
129 .ru_max
= 200000, /* Uniq cycle, avoid blackjack prediction */
130 .ru_gen
= 2, /* Starting generator */
131 .ru_n
= 524269, /* RU_N-1 = 2^2*3^2*14563 */
132 .ru_agen
= 7, /* determine ru_a as RU_AGEN^(2*rand) */
133 .ru_m
= 279936, /* RU_M = 2^7*3^7 - don't change */
134 .ru_pfacts
= { 2, 3, 14563, 0 }, /* factors of ru_n */
137 static u_int32_t
pmod(u_int32_t
, u_int32_t
, u_int32_t
);
138 static void initid(struct randomtab
*);
139 static u_int32_t
randomid(struct randomtab
*);
142 * Do a fast modular exponation, returned value will be in the range
147 pmod(u_int32_t gen
, u_int32_t expo
, u_int32_t mod
)
165 * Initalizes the seed and chooses a suitable generator. Also toggles
166 * the msb flag. The msb flag is used to generate two distinct
167 * cycles of random numbers and thus avoiding reuse of ids.
169 * This function is called from id_randomid() when needed, an
170 * application does not have to worry about it.
173 initid(struct randomtab
*p
)
178 p
->ru_x
= arc4random() % p
->ru_m
;
180 /* (bits - 1) bits of random seed */
181 p
->ru_seed
= arc4random() & (~0U >> (32 - p
->ru_bits
+ 1));
182 p
->ru_seed2
= arc4random() & (~0U >> (32 - p
->ru_bits
+ 1));
184 /* Determine the LCG we use */
185 p
->ru_b
= (arc4random() & (~0U >> (32 - p
->ru_bits
))) | 1;
186 p
->ru_a
= pmod(p
->ru_agen
,
187 (arc4random() & (~0U >> (32 - p
->ru_bits
))) & (~1U), p
->ru_m
);
188 while (p
->ru_b
% 3 == 0)
191 j
= arc4random() % p
->ru_n
;
194 * Do a fast gcd(j, RU_N - 1), so we can find a j with
195 * gcd(j, RU_N - 1) == 1, giving a new generator for
199 for (i
= 0; p
->ru_pfacts
[i
] > 0; i
++)
200 if (j
% p
->ru_pfacts
[i
] == 0)
203 if (p
->ru_pfacts
[i
] == 0)
206 j
= (j
+ 1) % p
->ru_n
;
209 p
->ru_g
= pmod(p
->ru_gen
, j
, p
->ru_n
);
212 p
->ru_reseed
= time_second
+ p
->ru_out
;
213 p
->ru_msb
= p
->ru_msb
? 0 : (1U << (p
->ru_bits
- 1));
217 randomid(struct randomtab
*p
)
221 if (p
->ru_counter
>= p
->ru_max
|| time_second
> p
->ru_reseed
)
224 /* Skip a random number of ids */
225 n
= arc4random() & 0x3;
226 if (p
->ru_counter
+ n
>= p
->ru_max
)
229 for (i
= 0; i
<= n
; i
++) {
230 /* Linear Congruential Generator */
231 p
->ru_x
= ((u_int64_t
)p
->ru_a
* p
->ru_x
+ p
->ru_b
) % p
->ru_m
;
236 return (p
->ru_seed
^ pmod(p
->ru_g
, p
->ru_seed2
+ p
->ru_x
, p
->ru_n
)) |
244 return randomid(&randomtab_32
);
248 ip6_randomflowlabel(void)
251 return randomid(&randomtab_20
) & 0xfffff;