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30 * Copyright (C) 2003 WIDE Project.
31 * All rights reserved.
33 * Redistribution and use in source and binary forms, with or without
34 * modification, are permitted provided that the following conditions
36 * 1. Redistributions of source code must retain the above copyright
37 * notice, this list of conditions and the following disclaimer.
38 * 2. Redistributions in binary form must reproduce the above copyright
39 * notice, this list of conditions and the following disclaimer in the
40 * documentation and/or other materials provided with the distribution.
41 * 3. Neither the name of the project nor the names of its contributors
42 * may be used to endorse or promote products derived from this software
43 * without specific prior written permission.
45 * THIS SOFTWARE IS PROVIDED BY THE PROJECT AND CONTRIBUTORS ``AS IS'' AND
46 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
47 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
48 * ARE DISCLAIMED. IN NO EVENT SHALL THE PROJECT OR CONTRIBUTORS BE LIABLE
49 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
50 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
51 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
52 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
53 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
54 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
59 * Copyright 1998 Niels Provos <provos@citi.umich.edu>
60 * All rights reserved.
62 * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using
63 * such a mathematical system to generate more random (yet non-repeating)
64 * ids to solve the resolver/named problem. But Niels designed the
65 * actual system based on the constraints.
67 * Redistribution and use in source and binary forms, with or without
68 * modification, are permitted provided that the following conditions
70 * 1. Redistributions of source code must retain the above copyright
71 * notice, this list of conditions and the following disclaimer.
72 * 2. Redistributions in binary form must reproduce the above copyright
73 * notice, this list of conditions and the following disclaimer in the
74 * documentation and/or other materials provided with the distribution.
75 * 3. All advertising materials mentioning features or use of this software
76 * must display the following acknowledgement:
77 * This product includes software developed by Niels Provos.
78 * 4. The name of the author may not be used to endorse or promote products
79 * derived from this software without specific prior written permission.
81 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
82 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
83 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
84 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
85 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
86 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
87 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
88 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
89 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
90 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
93 #include <sys/cdefs.h>
96 * seed = random (bits - 1) bit
97 * n = prime, g0 = generator to n,
98 * j = random so that gcd(j,n-1) == 1
99 * g = g0^j mod n will be a generator again.
101 * X[0] = random seed.
102 * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
103 * with a = 7^(even random) mod m,
104 * b = random with gcd(b,m) == 1
105 * m = constant and a maximal period of m-1.
107 * The transaction id is determined by:
108 * id[n] = seed xor (g^X[n] mod n)
110 * Effectivly the id is restricted to the lower (bits - 1) bits, thus
111 * yielding two different cycles by toggling the msb on and off.
112 * This avoids reuse issues caused by reseeding.
115 #include <sys/types.h>
116 #include <sys/socket.h>
117 #include <sys/param.h>
118 #include <sys/time.h>
119 #include <sys/kernel.h>
120 #include <sys/random.h>
121 #include <sys/protosw.h>
122 #include <libkern/libkern.h>
123 #include <dev/random/randomdev.h>
126 #include <net/route.h>
127 #include <netinet/in.h>
128 #include <netinet/ip6.h>
129 #include <netinet6/ip6_var.h>
132 const int ru_bits
; /* resulting bits */
133 const long ru_out
; /* Time after wich will be reseeded */
134 const u_int32_t ru_max
; /* Uniq cycle, avoid blackjack prediction */
135 const u_int32_t ru_gen
; /* Starting generator */
136 const u_int32_t ru_n
; /* ru_n: prime, ru_n - 1: product of pfacts[] */
137 const u_int32_t ru_agen
; /* determine ru_a as ru_agen^(2*rand) */
138 const u_int32_t ru_m
; /* ru_m = 2^x*3^y */
139 const u_int32_t pfacts
[4]; /* factors of ru_n */
141 u_int32_t ru_counter
;
145 u_int32_t ru_seed
, ru_seed2
;
146 u_int32_t ru_a
, ru_b
;
151 static struct randomtab randomtab_32
= {
152 .ru_bits
= 32, /* resulting bits */
153 .ru_out
= 180, /* Time after wich will be reseeded */
154 .ru_max
= 1000000000, /* Uniq cycle, avoid blackjack prediction */
155 .ru_gen
= 2, /* Starting generator */
156 .ru_n
= 2147483629, /* RU_N-1 = 2^2*3^2*59652323 */
157 .ru_agen
= 7, /* determine ru_a as RU_AGEN^(2*rand) */
158 .ru_m
= 1836660096, /* RU_M = 2^7*3^15 - don't change */
159 .pfacts
= { 2, 3, 59652323, 0 }, /* factors of ru_n */
171 static u_int32_t
pmod(u_int32_t
, u_int32_t
, u_int32_t
);
172 static void initid(struct randomtab
*);
173 static u_int32_t
randomid(struct randomtab
*);
176 * Do a fast modular exponation, returned value will be in the range
180 pmod(u_int32_t gen
, u_int32_t expo
, u_int32_t mod
)
199 * Initalizes the seed and chooses a suitable generator. Also toggles
200 * the msb flag. The msb flag is used to generate two distinct
201 * cycles of random numbers and thus avoiding reuse of ids.
203 * This function is called from id_randomid() when needed, an
204 * application does not have to worry about it.
207 initid(struct randomtab
*p
)
209 time_t curtime
= (time_t)net_uptime();
213 p
->ru_x
= RandomULong() % p
->ru_m
;
215 /* (bits - 1) bits of random seed */
216 p
->ru_seed
= RandomULong() & (~0U >> (32 - p
->ru_bits
+ 1));
217 p
->ru_seed2
= RandomULong() & (~0U >> (32 - p
->ru_bits
+ 1));
219 /* Determine the LCG we use */
220 p
->ru_b
= (RandomULong() & (~0U >> (32 - p
->ru_bits
))) | 1;
221 p
->ru_a
= pmod(p
->ru_agen
,
222 (RandomULong() & (~0U >> (32 - p
->ru_bits
))) & (~1U), p
->ru_m
);
223 while (p
->ru_b
% 3 == 0) {
227 j
= RandomULong() % p
->ru_n
;
230 * Do a fast gcd(j, RU_N - 1), so we can find a j with
231 * gcd(j, RU_N - 1) == 1, giving a new generator for
235 for (i
= 0; p
->pfacts
[i
] > 0; i
++) {
236 if (j
% p
->pfacts
[i
] == 0) {
241 if (p
->pfacts
[i
] == 0) {
244 j
= (j
+ 1) % p
->ru_n
;
248 p
->ru_g
= pmod(p
->ru_gen
, j
, p
->ru_n
);
251 p
->ru_reseed
= curtime
+ p
->ru_out
;
252 p
->ru_msb
= p
->ru_msb
? 0 : (1U << (p
->ru_bits
- 1));
256 randomid(struct randomtab
*p
)
258 time_t curtime
= (time_t)net_uptime();
262 if (p
->ru_counter
>= p
->ru_max
|| curtime
> p
->ru_reseed
) {
268 /* Skip a random number of ids */
269 n
= tmp
& 0x3; tmp
= tmp
>> 2;
270 if (p
->ru_counter
+ n
>= p
->ru_max
) {
274 for (i
= 0; i
<= n
; i
++) {
275 /* Linear Congruential Generator */
276 p
->ru_x
= ((u_int64_t
)p
->ru_a
* p
->ru_x
+ p
->ru_b
) % p
->ru_m
;
281 return (p
->ru_seed
^ pmod(p
->ru_g
, p
->ru_seed2
^ p
->ru_x
, p
->ru_n
)) |
288 return randomid(&randomtab_32
);
292 ip6_randomflowlabel(void)
294 return RandomULong() & IPV6_FLOWLABEL_MASK
;