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1 | /* $OpenBSD: ip_id.c,v 1.2 1999/08/26 13:37:01 provos Exp $ */ |
2 | ||
3 | /* | |
4 | * Copyright 1998 Niels Provos <provos@citi.umich.edu> | |
5 | * All rights reserved. | |
6 | * | |
7 | * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using | |
8 | * such a mathematical system to generate more random (yet non-repeating) | |
9 | * ids to solve the resolver/named problem. But Niels designed the | |
10 | * actual system based on the constraints. | |
11 | * | |
12 | * Redistribution and use in source and binary forms, with or without | |
13 | * modification, are permitted provided that the following conditions | |
14 | * are met: | |
15 | * 1. Redistributions of source code must retain the above copyright | |
16 | * notice, this list of conditions and the following disclaimer. | |
17 | * 2. Redistributions in binary form must reproduce the above copyright | |
18 | * notice, this list of conditions and the following disclaimer in the | |
19 | * documentation and/or other materials provided with the distribution. | |
20 | * 3. All advertising materials mentioning features or use of this software | |
21 | * must display the following acknowledgement: | |
22 | * This product includes software developed by Niels Provos. | |
23 | * 4. The name of the author may not be used to endorse or promote products | |
24 | * derived from this software without specific prior written permission. | |
25 | * | |
26 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR | |
27 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES | |
28 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. | |
29 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, | |
30 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
31 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | |
32 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | |
33 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
34 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF | |
35 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
36 | * | |
37 | * $FreeBSD: src/sys/netinet/ip_id.c,v 1.1.2.1 2001/07/19 06:37:26 kris Exp $ | |
38 | */ | |
39 | ||
40 | /* | |
41 | * seed = random 15bit | |
42 | * n = prime, g0 = generator to n, | |
43 | * j = random so that gcd(j,n-1) == 1 | |
44 | * g = g0^j mod n will be a generator again. | |
45 | * | |
46 | * X[0] = random seed. | |
47 | * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator | |
48 | * with a = 7^(even random) mod m, | |
49 | * b = random with gcd(b,m) == 1 | |
50 | * m = 31104 and a maximal period of m-1. | |
51 | * | |
52 | * The transaction id is determined by: | |
53 | * id[n] = seed xor (g^X[n] mod n) | |
54 | * | |
55 | * Effectivly the id is restricted to the lower 15 bits, thus | |
56 | * yielding two different cycles by toggling the msb on and off. | |
57 | * This avoids reuse issues caused by reseeding. | |
58 | */ | |
59 | ||
60 | #include "opt_random_ip_id.h" | |
61 | #include <sys/param.h> | |
62 | #include <sys/time.h> | |
63 | #include <sys/kernel.h> | |
64 | #include <sys/random.h> | |
65 | ||
66 | #if RANDOM_IP_ID | |
67 | #define RU_OUT 180 /* Time after wich will be reseeded */ | |
68 | #define RU_MAX 30000 /* Uniq cycle, avoid blackjack prediction */ | |
69 | #define RU_GEN 2 /* Starting generator */ | |
70 | #define RU_N 32749 /* RU_N-1 = 2*2*3*2729 */ | |
71 | #define RU_AGEN 7 /* determine ru_a as RU_AGEN^(2*rand) */ | |
72 | #define RU_M 31104 /* RU_M = 2^7*3^5 - don't change */ | |
73 | ||
74 | #define PFAC_N 3 | |
75 | const static u_int16_t pfacts[PFAC_N] = { | |
76 | 2, | |
77 | 3, | |
78 | 2729 | |
79 | }; | |
80 | ||
81 | static u_int16_t ru_x; | |
82 | static u_int16_t ru_seed, ru_seed2; | |
83 | static u_int16_t ru_a, ru_b; | |
84 | static u_int16_t ru_g; | |
85 | static u_int16_t ru_counter = 0; | |
86 | static u_int16_t ru_msb = 0; | |
87 | static long ru_reseed; | |
88 | static u_int32_t tmp; /* Storage for unused random */ | |
89 | ||
90 | static u_int16_t pmod __P((u_int16_t, u_int16_t, u_int16_t)); | |
91 | static void ip_initid __P((void)); | |
92 | u_int16_t ip_randomid __P((void)); | |
93 | ||
94 | /* | |
95 | * Do a fast modular exponation, returned value will be in the range | |
96 | * of 0 - (mod-1) | |
97 | */ | |
98 | ||
99 | #ifdef __STDC__ | |
100 | static u_int16_t | |
101 | pmod(u_int16_t gen, u_int16_t exp, u_int16_t mod) | |
102 | #else | |
103 | static u_int16_t | |
104 | pmod(gen, exp, mod) | |
105 | u_int16_t gen, exp, mod; | |
106 | #endif | |
107 | { | |
108 | u_int16_t s, t, u; | |
109 | ||
110 | s = 1; | |
111 | t = gen; | |
112 | u = exp; | |
113 | ||
114 | while (u) { | |
115 | if (u & 1) | |
116 | s = (s*t) % mod; | |
117 | u >>= 1; | |
118 | t = (t*t) % mod; | |
119 | } | |
120 | return (s); | |
121 | } | |
122 | ||
123 | /* | |
124 | * Initalizes the seed and chooses a suitable generator. Also toggles | |
125 | * the msb flag. The msb flag is used to generate two distinct | |
126 | * cycles of random numbers and thus avoiding reuse of ids. | |
127 | * | |
128 | * This function is called from id_randomid() when needed, an | |
129 | * application does not have to worry about it. | |
130 | */ | |
131 | static void | |
132 | ip_initid(void) | |
133 | { | |
134 | u_int16_t j, i; | |
135 | int noprime = 1; | |
136 | struct timeval time; | |
137 | ||
138 | getmicrotime(&time); | |
139 | read_random((void *) &tmp, sizeof(tmp)); | |
140 | ru_x = (tmp & 0xFFFF) % RU_M; | |
141 | ||
142 | /* 15 bits of random seed */ | |
143 | ru_seed = (tmp >> 16) & 0x7FFF; | |
144 | read_random((void *) &tmp, sizeof(tmp)); | |
145 | ru_seed2 = tmp & 0x7FFF; | |
146 | ||
147 | read_random((void *) &tmp, sizeof(tmp)); | |
148 | ||
149 | /* Determine the LCG we use */ | |
150 | ru_b = (tmp & 0xfffe) | 1; | |
151 | ru_a = pmod(RU_AGEN, (tmp >> 16) & 0xfffe, RU_M); | |
152 | while (ru_b % 3 == 0) | |
153 | ru_b += 2; | |
154 | ||
155 | read_random((void *) &tmp, sizeof(tmp)); | |
156 | j = tmp % RU_N; | |
157 | tmp = tmp >> 16; | |
158 | ||
159 | /* | |
160 | * Do a fast gcd(j,RU_N-1), so we can find a j with | |
161 | * gcd(j, RU_N-1) == 1, giving a new generator for | |
162 | * RU_GEN^j mod RU_N | |
163 | */ | |
164 | ||
165 | while (noprime) { | |
166 | for (i=0; i<PFAC_N; i++) | |
167 | if (j%pfacts[i] == 0) | |
168 | break; | |
169 | ||
170 | if (i>=PFAC_N) | |
171 | noprime = 0; | |
172 | else | |
173 | j = (j+1) % RU_N; | |
174 | } | |
175 | ||
176 | ru_g = pmod(RU_GEN,j,RU_N); | |
177 | ru_counter = 0; | |
178 | ||
179 | ru_reseed = time.tv_sec + RU_OUT; | |
180 | ru_msb = ru_msb == 0x8000 ? 0 : 0x8000; | |
181 | } | |
182 | ||
183 | u_int16_t | |
184 | ip_randomid(void) | |
185 | { | |
186 | int i, n; | |
187 | struct timeval time; | |
188 | ||
189 | getmicrotime(&time); | |
190 | if (ru_counter >= RU_MAX || time.tv_sec > ru_reseed) | |
191 | ip_initid(); | |
192 | ||
193 | if (!tmp) | |
194 | read_random((void *) &tmp, sizeof(tmp)); | |
195 | ||
196 | /* Skip a random number of ids */ | |
197 | n = tmp & 0x3; tmp = tmp >> 2; | |
198 | if (ru_counter + n >= RU_MAX) | |
199 | ip_initid(); | |
200 | ||
201 | for (i = 0; i <= n; i++) | |
202 | /* Linear Congruential Generator */ | |
203 | ru_x = (ru_a*ru_x + ru_b) % RU_M; | |
204 | ||
205 | ru_counter += i; | |
206 | ||
207 | return (ru_seed ^ pmod(ru_g,ru_seed2 ^ ru_x,RU_N)) | ru_msb; | |
208 | } | |
209 | ||
210 | #endif /* RANDOM_IP_ID */ |