|  | /* $OpenBSD: res_random.c,v 1.17 2008/04/13 00:28:35 djm Exp $ */ | 
|  |  | 
|  | /* | 
|  | * Copyright 1997 Niels Provos <provos@physnet.uni-hamburg.de> | 
|  | * Copyright 2008 Damien Miller <djm@openbsd.org> | 
|  | * Copyright 2008 Android Open Source Project (thread-safety) | 
|  | * 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. | 
|  | * | 
|  | * Later modified by Damien Miller to wrap the LCG output in a 15-bit | 
|  | * permutation generator based on a Luby-Rackoff block cipher. This | 
|  | * ensures the output is non-repeating and preserves the MSB twiddle | 
|  | * trick, but makes it more resistant to LCG prediction. | 
|  | * | 
|  | * 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. | 
|  | * | 
|  | * 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. | 
|  | */ | 
|  |  | 
|  | /* | 
|  | * 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. | 
|  | * | 
|  | * The output of this generator is then randomly permuted though a | 
|  | * custom 15 bit Luby-Rackoff block cipher. | 
|  | */ | 
|  |  | 
|  | #include <sys/types.h> | 
|  | #include <netinet/in.h> | 
|  | #include <sys/time.h> | 
|  | #include "resolv_private.h" | 
|  |  | 
|  | #include <unistd.h> | 
|  | #include <stdlib.h> | 
|  | #include <string.h> | 
|  |  | 
|  | /* BIONIC-BEGIN */ | 
|  | static pthread_mutex_t         _res_random_lock = PTHREAD_MUTEX_INITIALIZER; | 
|  | #define  _RES_RANDOM_LOCK()    pthread_mutex_lock(&_res_random_lock) | 
|  | #define  _RES_RANDOM_UNLOCK()  pthread_mutex_unlock(&_res_random_lock) | 
|  | /* BIONIC-END */ | 
|  |  | 
|  | #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 RU_ROUNDS	11	/* Number of rounds for permute (odd) */ | 
|  |  | 
|  | struct prf_ctx { | 
|  | /* PRF lookup table for odd rounds (7 bits input to 8 bits output) */ | 
|  | u_char prf7[(RU_ROUNDS / 2) * (1 << 7)]; | 
|  |  | 
|  | /* PRF lookup table for even rounds (8 bits input to 7 bits output) */ | 
|  | u_char prf8[((RU_ROUNDS + 1) / 2) * (1 << 8)]; | 
|  | }; | 
|  |  | 
|  | #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 struct prf_ctx *ru_prf = NULL; | 
|  | static long ru_reseed; | 
|  |  | 
|  | static u_int16_t pmod(u_int16_t, u_int16_t, u_int16_t); | 
|  | static void res_initid(void); | 
|  |  | 
|  | /* | 
|  | * Do a fast modular exponation, returned value will be in the range | 
|  | * of 0 - (mod-1) | 
|  | */ | 
|  | static u_int16_t | 
|  | pmod(u_int16_t gen, u_int16_t exp, u_int16_t mod) | 
|  | { | 
|  | 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); | 
|  | } | 
|  |  | 
|  | /* | 
|  | * 15-bit permutation based on Luby-Rackoff block cipher | 
|  | */ | 
|  | u_int | 
|  | permute15(u_int in) | 
|  | { | 
|  | int i; | 
|  | u_int left, right, tmp; | 
|  |  | 
|  | if (ru_prf == NULL) | 
|  | return in; | 
|  |  | 
|  | left = (in >> 8) & 0x7f; | 
|  | right = in & 0xff; | 
|  |  | 
|  | /* | 
|  | * Each round swaps the width of left and right. Even rounds have | 
|  | * a 7-bit left, odd rounds have an 8-bit left.	Since this uses an | 
|  | * odd number of rounds, left is always 8 bits wide at the end. | 
|  | */ | 
|  | for (i = 0; i < RU_ROUNDS; i++) { | 
|  | if ((i & 1) == 0) | 
|  | tmp = ru_prf->prf8[(i << (8 - 1)) | right] & 0x7f; | 
|  | else | 
|  | tmp = ru_prf->prf7[((i - 1) << (7 - 1)) | right]; | 
|  | tmp ^= left; | 
|  | left = right; | 
|  | right = tmp; | 
|  | } | 
|  |  | 
|  | return (right << 8) | left; | 
|  | } | 
|  |  | 
|  | /* | 
|  | * Initializes 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 res_randomid() when needed, an | 
|  | * application does not have to worry about it. | 
|  | */ | 
|  | static void | 
|  | res_initid(void) | 
|  | { | 
|  | u_int16_t j, i; | 
|  | u_int32_t tmp; | 
|  | int noprime = 1; | 
|  | struct timeval tv; | 
|  |  | 
|  | ru_x = arc4random_uniform(RU_M); | 
|  |  | 
|  | /* 15 bits of random seed */ | 
|  | tmp = arc4random(); | 
|  | ru_seed = (tmp >> 16) & 0x7FFF; | 
|  | ru_seed2 = tmp & 0x7FFF; | 
|  |  | 
|  | /* Determine the LCG we use */ | 
|  | tmp = arc4random(); | 
|  | ru_b = (tmp & 0xfffe) | 1; | 
|  | ru_a = pmod(RU_AGEN, (tmp >> 16) & 0xfffe, RU_M); | 
|  | while (ru_b % 3 == 0) | 
|  | ru_b += 2; | 
|  |  | 
|  | j = arc4random_uniform(RU_N); | 
|  |  | 
|  | /* | 
|  | * 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; | 
|  |  | 
|  | /* Initialise PRF for Luby-Rackoff permutation */ | 
|  | if (ru_prf == NULL) | 
|  | ru_prf = malloc(sizeof(*ru_prf)); | 
|  | if (ru_prf != NULL) | 
|  | arc4random_buf(ru_prf, sizeof(*ru_prf)); | 
|  |  | 
|  | gettimeofday(&tv, NULL); | 
|  | ru_reseed = tv.tv_sec + RU_OUT; | 
|  | ru_msb = ru_msb == 0x8000 ? 0 : 0x8000; | 
|  | } | 
|  |  | 
|  | u_int | 
|  | res_randomid(void) | 
|  | { | 
|  | struct timeval tv; | 
|  | u_int  result; | 
|  |  | 
|  | _RES_RANDOM_LOCK() | 
|  | gettimeofday(&tv, NULL); | 
|  | if (ru_counter >= RU_MAX || tv.tv_sec > ru_reseed) | 
|  | res_initid(); | 
|  |  | 
|  | /* Linear Congruential Generator */ | 
|  | ru_x = (ru_a * ru_x + ru_b) % RU_M; | 
|  | ru_counter++; | 
|  |  | 
|  | result = permute15(ru_seed ^ pmod(ru_g, ru_seed2 + ru_x, RU_N)) | ru_msb; | 
|  | _RES_RANDOM_UNLOCK() | 
|  | return result; | 
|  | } | 
|  |  | 
|  | #if 0 | 
|  | int | 
|  | main(int argc, char **argv) | 
|  | { | 
|  | int i, n; | 
|  | u_int16_t wert; | 
|  |  | 
|  | res_initid(); | 
|  |  | 
|  | printf("Generator: %u\n", ru_g); | 
|  | printf("Seed: %u\n", ru_seed); | 
|  | printf("Reseed at %ld\n", ru_reseed); | 
|  | printf("Ru_X: %u\n", ru_x); | 
|  | printf("Ru_A: %u\n", ru_a); | 
|  | printf("Ru_B: %u\n", ru_b); | 
|  |  | 
|  | n = argc > 1 ? atoi(argv[1]) : 60001; | 
|  | for (i=0;i<n;i++) { | 
|  | wert = res_randomid(); | 
|  | printf("%u\n", wert); | 
|  | } | 
|  | return 0; | 
|  | } | 
|  | #endif | 
|  |  |