The Android Open Source Project | 1dc9e47 | 2009-03-03 19:28:35 -0800 | [diff] [blame] | 1 | /* $OpenBSD: res_random.c,v 1.17 2008/04/13 00:28:35 djm Exp $ */ |
| 2 | |
| 3 | /* |
| 4 | * Copyright 1997 Niels Provos <provos@physnet.uni-hamburg.de> |
| 5 | * Copyright 2008 Damien Miller <djm@openbsd.org> |
| 6 | * Copyright 2008 Android Open Source Project (thread-safety) |
| 7 | * All rights reserved. |
| 8 | * |
| 9 | * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using |
| 10 | * such a mathematical system to generate more random (yet non-repeating) |
| 11 | * ids to solve the resolver/named problem. But Niels designed the |
| 12 | * actual system based on the constraints. |
| 13 | * |
| 14 | * Later modified by Damien Miller to wrap the LCG output in a 15-bit |
| 15 | * permutation generator based on a Luby-Rackoff block cipher. This |
| 16 | * ensures the output is non-repeating and preserves the MSB twiddle |
| 17 | * trick, but makes it more resistant to LCG prediction. |
| 18 | * |
| 19 | * Redistribution and use in source and binary forms, with or without |
| 20 | * modification, are permitted provided that the following conditions |
| 21 | * are met: |
| 22 | * 1. Redistributions of source code must retain the above copyright |
| 23 | * notice, this list of conditions and the following disclaimer. |
| 24 | * 2. Redistributions in binary form must reproduce the above copyright |
| 25 | * notice, this list of conditions and the following disclaimer in the |
| 26 | * documentation and/or other materials provided with the distribution. |
| 27 | * |
| 28 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
| 29 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
| 30 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
| 31 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
| 32 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
| 33 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
| 34 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
| 35 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 36 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
| 37 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 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 | * The output of this generator is then randomly permuted though a |
| 60 | * custom 15 bit Luby-Rackoff block cipher. |
| 61 | */ |
| 62 | |
| 63 | #include <sys/types.h> |
| 64 | #include <netinet/in.h> |
| 65 | #include <sys/time.h> |
| 66 | #include "resolv_private.h" |
| 67 | |
| 68 | #include <unistd.h> |
| 69 | #include <stdlib.h> |
| 70 | #include <string.h> |
| 71 | |
| 72 | /* BIONIC-BEGIN */ |
| 73 | static pthread_mutex_t _res_random_lock = PTHREAD_MUTEX_INITIALIZER; |
| 74 | #define _RES_RANDOM_LOCK() pthread_mutex_lock(&_res_random_lock) |
| 75 | #define _RES_RANDOM_UNLOCK() pthread_mutex_unlock(&_res_random_lock) |
| 76 | /* BIONIC-END */ |
| 77 | |
| 78 | #define RU_OUT 180 /* Time after wich will be reseeded */ |
| 79 | #define RU_MAX 30000 /* Uniq cycle, avoid blackjack prediction */ |
| 80 | #define RU_GEN 2 /* Starting generator */ |
| 81 | #define RU_N 32749 /* RU_N-1 = 2*2*3*2729 */ |
| 82 | #define RU_AGEN 7 /* determine ru_a as RU_AGEN^(2*rand) */ |
| 83 | #define RU_M 31104 /* RU_M = 2^7*3^5 - don't change */ |
| 84 | #define RU_ROUNDS 11 /* Number of rounds for permute (odd) */ |
| 85 | |
| 86 | struct prf_ctx { |
| 87 | /* PRF lookup table for odd rounds (7 bits input to 8 bits output) */ |
| 88 | u_char prf7[(RU_ROUNDS / 2) * (1 << 7)]; |
| 89 | |
| 90 | /* PRF lookup table for even rounds (8 bits input to 7 bits output) */ |
| 91 | u_char prf8[((RU_ROUNDS + 1) / 2) * (1 << 8)]; |
| 92 | }; |
| 93 | |
| 94 | #define PFAC_N 3 |
| 95 | const static u_int16_t pfacts[PFAC_N] = { |
| 96 | 2, |
| 97 | 3, |
| 98 | 2729 |
| 99 | }; |
| 100 | |
| 101 | static u_int16_t ru_x; |
| 102 | static u_int16_t ru_seed, ru_seed2; |
| 103 | static u_int16_t ru_a, ru_b; |
| 104 | static u_int16_t ru_g; |
| 105 | static u_int16_t ru_counter = 0; |
| 106 | static u_int16_t ru_msb = 0; |
| 107 | static struct prf_ctx *ru_prf = NULL; |
| 108 | static long ru_reseed; |
| 109 | |
| 110 | static u_int16_t pmod(u_int16_t, u_int16_t, u_int16_t); |
| 111 | static void res_initid(void); |
| 112 | |
| 113 | /* |
| 114 | * Do a fast modular exponation, returned value will be in the range |
| 115 | * of 0 - (mod-1) |
| 116 | */ |
| 117 | static u_int16_t |
| 118 | pmod(u_int16_t gen, u_int16_t exp, u_int16_t mod) |
| 119 | { |
| 120 | u_int16_t s, t, u; |
| 121 | |
| 122 | s = 1; |
| 123 | t = gen; |
| 124 | u = exp; |
| 125 | |
| 126 | while (u) { |
| 127 | if (u & 1) |
| 128 | s = (s * t) % mod; |
| 129 | u >>= 1; |
| 130 | t = (t * t) % mod; |
| 131 | } |
| 132 | return (s); |
| 133 | } |
| 134 | |
| 135 | /* |
| 136 | * 15-bit permutation based on Luby-Rackoff block cipher |
| 137 | */ |
| 138 | u_int |
| 139 | permute15(u_int in) |
| 140 | { |
| 141 | int i; |
| 142 | u_int left, right, tmp; |
| 143 | |
| 144 | if (ru_prf == NULL) |
| 145 | return in; |
| 146 | |
| 147 | left = (in >> 8) & 0x7f; |
| 148 | right = in & 0xff; |
| 149 | |
| 150 | /* |
| 151 | * Each round swaps the width of left and right. Even rounds have |
| 152 | * a 7-bit left, odd rounds have an 8-bit left. Since this uses an |
| 153 | * odd number of rounds, left is always 8 bits wide at the end. |
| 154 | */ |
| 155 | for (i = 0; i < RU_ROUNDS; i++) { |
| 156 | if ((i & 1) == 0) |
| 157 | tmp = ru_prf->prf8[(i << (8 - 1)) | right] & 0x7f; |
| 158 | else |
| 159 | tmp = ru_prf->prf7[((i - 1) << (7 - 1)) | right]; |
| 160 | tmp ^= left; |
| 161 | left = right; |
| 162 | right = tmp; |
| 163 | } |
| 164 | |
| 165 | return (right << 8) | left; |
| 166 | } |
| 167 | |
| 168 | /* |
| 169 | * Initializes the seed and chooses a suitable generator. Also toggles |
| 170 | * the msb flag. The msb flag is used to generate two distinct |
| 171 | * cycles of random numbers and thus avoiding reuse of ids. |
| 172 | * |
| 173 | * This function is called from res_randomid() when needed, an |
| 174 | * application does not have to worry about it. |
| 175 | */ |
| 176 | static void |
| 177 | res_initid(void) |
| 178 | { |
| 179 | u_int16_t j, i; |
| 180 | u_int32_t tmp; |
| 181 | int noprime = 1; |
| 182 | struct timeval tv; |
| 183 | |
| 184 | ru_x = arc4random_uniform(RU_M); |
| 185 | |
| 186 | /* 15 bits of random seed */ |
| 187 | tmp = arc4random(); |
| 188 | ru_seed = (tmp >> 16) & 0x7FFF; |
| 189 | ru_seed2 = tmp & 0x7FFF; |
| 190 | |
| 191 | /* Determine the LCG we use */ |
| 192 | tmp = arc4random(); |
| 193 | ru_b = (tmp & 0xfffe) | 1; |
| 194 | ru_a = pmod(RU_AGEN, (tmp >> 16) & 0xfffe, RU_M); |
| 195 | while (ru_b % 3 == 0) |
| 196 | ru_b += 2; |
| 197 | |
| 198 | j = arc4random_uniform(RU_N); |
| 199 | |
| 200 | /* |
| 201 | * Do a fast gcd(j,RU_N-1), so we can find a j with |
| 202 | * gcd(j, RU_N-1) == 1, giving a new generator for |
| 203 | * RU_GEN^j mod RU_N |
| 204 | */ |
| 205 | |
| 206 | while (noprime) { |
| 207 | for (i = 0; i < PFAC_N; i++) |
| 208 | if (j % pfacts[i] == 0) |
| 209 | break; |
| 210 | |
| 211 | if (i >= PFAC_N) |
| 212 | noprime = 0; |
| 213 | else |
| 214 | j = (j + 1) % RU_N; |
| 215 | } |
| 216 | |
| 217 | ru_g = pmod(RU_GEN, j, RU_N); |
| 218 | ru_counter = 0; |
| 219 | |
| 220 | /* Initialise PRF for Luby-Rackoff permutation */ |
| 221 | if (ru_prf == NULL) |
| 222 | ru_prf = malloc(sizeof(*ru_prf)); |
| 223 | if (ru_prf != NULL) |
| 224 | arc4random_buf(ru_prf, sizeof(*ru_prf)); |
| 225 | |
| 226 | gettimeofday(&tv, NULL); |
| 227 | ru_reseed = tv.tv_sec + RU_OUT; |
| 228 | ru_msb = ru_msb == 0x8000 ? 0 : 0x8000; |
| 229 | } |
| 230 | |
| 231 | u_int |
| 232 | res_randomid(void) |
| 233 | { |
| 234 | struct timeval tv; |
| 235 | u_int result; |
| 236 | |
| 237 | _RES_RANDOM_LOCK() |
| 238 | gettimeofday(&tv, NULL); |
| 239 | if (ru_counter >= RU_MAX || tv.tv_sec > ru_reseed) |
| 240 | res_initid(); |
| 241 | |
| 242 | /* Linear Congruential Generator */ |
| 243 | ru_x = (ru_a * ru_x + ru_b) % RU_M; |
| 244 | ru_counter++; |
| 245 | |
| 246 | result = permute15(ru_seed ^ pmod(ru_g, ru_seed2 + ru_x, RU_N)) | ru_msb; |
| 247 | _RES_RANDOM_UNLOCK() |
| 248 | return result; |
| 249 | } |
| 250 | |
| 251 | #if 0 |
| 252 | int |
| 253 | main(int argc, char **argv) |
| 254 | { |
| 255 | int i, n; |
| 256 | u_int16_t wert; |
| 257 | |
| 258 | res_initid(); |
| 259 | |
| 260 | printf("Generator: %u\n", ru_g); |
| 261 | printf("Seed: %u\n", ru_seed); |
| 262 | printf("Reseed at %ld\n", ru_reseed); |
| 263 | printf("Ru_X: %u\n", ru_x); |
| 264 | printf("Ru_A: %u\n", ru_a); |
| 265 | printf("Ru_B: %u\n", ru_b); |
| 266 | |
| 267 | n = argc > 1 ? atoi(argv[1]) : 60001; |
| 268 | for (i=0;i<n;i++) { |
| 269 | wert = res_randomid(); |
| 270 | printf("%u\n", wert); |
| 271 | } |
| 272 | return 0; |
| 273 | } |
| 274 | #endif |
| 275 | |