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