ip_id.c revision 77574
177574Skris/* $OpenBSD: ip_id.c,v 1.2 1999/08/26 13:37:01 provos Exp $ */
277574Skris
377574Skris/*
477574Skris * Copyright 1998 Niels Provos <provos@citi.umich.edu>
577574Skris * All rights reserved.
677574Skris *
777574Skris * Theo de Raadt <deraadt@openbsd.org> came up with the idea of using
877574Skris * such a mathematical system to generate more random (yet non-repeating)
977574Skris * ids to solve the resolver/named problem.  But Niels designed the
1077574Skris * actual system based on the constraints.
1177574Skris *
1277574Skris * Redistribution and use in source and binary forms, with or without
1377574Skris * modification, are permitted provided that the following conditions
1477574Skris * are met:
1577574Skris * 1. Redistributions of source code must retain the above copyright
1677574Skris *    notice, this list of conditions and the following disclaimer.
1777574Skris * 2. Redistributions in binary form must reproduce the above copyright
1877574Skris *    notice, this list of conditions and the following disclaimer in the
1977574Skris *    documentation and/or other materials provided with the distribution.
2077574Skris * 3. All advertising materials mentioning features or use of this software
2177574Skris *    must display the following acknowledgement:
2277574Skris *      This product includes software developed by Niels Provos.
2377574Skris * 4. The name of the author may not be used to endorse or promote products
2477574Skris *    derived from this software without specific prior written permission.
2577574Skris *
2677574Skris * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
2777574Skris * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
2877574Skris * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
2977574Skris * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
3077574Skris * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
3177574Skris * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
3277574Skris * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
3377574Skris * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
3477574Skris * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
3577574Skris * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
3677574Skris *
3777574Skris * $FreeBSD: head/sys/netinet/ip_id.c 77574 2001-06-01 10:02:28Z kris $
3877574Skris */
3977574Skris
4077574Skris/*
4177574Skris * seed = random 15bit
4277574Skris * n = prime, g0 = generator to n,
4377574Skris * j = random so that gcd(j,n-1) == 1
4477574Skris * g = g0^j mod n will be a generator again.
4577574Skris *
4677574Skris * X[0] = random seed.
4777574Skris * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
4877574Skris * with a = 7^(even random) mod m,
4977574Skris *      b = random with gcd(b,m) == 1
5077574Skris *      m = 31104 and a maximal period of m-1.
5177574Skris *
5277574Skris * The transaction id is determined by:
5377574Skris * id[n] = seed xor (g^X[n] mod n)
5477574Skris *
5577574Skris * Effectivly the id is restricted to the lower 15 bits, thus
5677574Skris * yielding two different cycles by toggling the msb on and off.
5777574Skris * This avoids reuse issues caused by reseeding.
5877574Skris */
5977574Skris
6077574Skris#include "opt_random_ip_id.h"
6177574Skris#include <sys/param.h>
6277574Skris#include <sys/time.h>
6377574Skris#include <sys/kernel.h>
6477574Skris#include <sys/random.h>
6577574Skris
6677574Skris#ifdef RANDOM_IP_ID
6777574Skris#define RU_OUT  180		/* Time after wich will be reseeded */
6877574Skris#define RU_MAX	30000		/* Uniq cycle, avoid blackjack prediction */
6977574Skris#define RU_GEN	2		/* Starting generator */
7077574Skris#define RU_N	32749		/* RU_N-1 = 2*2*3*2729 */
7177574Skris#define RU_AGEN	7		/* determine ru_a as RU_AGEN^(2*rand) */
7277574Skris#define RU_M	31104		/* RU_M = 2^7*3^5 - don't change */
7377574Skris
7477574Skris#define PFAC_N 3
7577574Skrisconst static u_int16_t pfacts[PFAC_N] = {
7677574Skris	2,
7777574Skris	3,
7877574Skris	2729
7977574Skris};
8077574Skris
8177574Skrisstatic u_int16_t ru_x;
8277574Skrisstatic u_int16_t ru_seed, ru_seed2;
8377574Skrisstatic u_int16_t ru_a, ru_b;
8477574Skrisstatic u_int16_t ru_g;
8577574Skrisstatic u_int16_t ru_counter = 0;
8677574Skrisstatic u_int16_t ru_msb = 0;
8777574Skrisstatic long ru_reseed;
8877574Skrisstatic u_int32_t tmp;		/* Storage for unused random */
8977574Skris
9077574Skrisstatic u_int16_t pmod __P((u_int16_t, u_int16_t, u_int16_t));
9177574Skrisstatic void ip_initid __P((void));
9277574Skrisu_int16_t ip_randomid __P((void));
9377574Skris
9477574Skris/*
9577574Skris * Do a fast modular exponation, returned value will be in the range
9677574Skris * of 0 - (mod-1)
9777574Skris */
9877574Skris
9977574Skris#ifdef __STDC__
10077574Skrisstatic u_int16_t
10177574Skrispmod(u_int16_t gen, u_int16_t exp, u_int16_t mod)
10277574Skris#else
10377574Skrisstatic u_int16_t
10477574Skrispmod(gen, exp, mod)
10577574Skris	u_int16_t gen, exp, mod;
10677574Skris#endif
10777574Skris{
10877574Skris	u_int16_t s, t, u;
10977574Skris
11077574Skris	s = 1;
11177574Skris	t = gen;
11277574Skris	u = exp;
11377574Skris
11477574Skris	while (u) {
11577574Skris		if (u & 1)
11677574Skris			s = (s*t) % mod;
11777574Skris		u >>= 1;
11877574Skris		t = (t*t) % mod;
11977574Skris	}
12077574Skris	return (s);
12177574Skris}
12277574Skris
12377574Skris/*
12477574Skris * Initalizes the seed and chooses a suitable generator. Also toggles
12577574Skris * the msb flag. The msb flag is used to generate two distinct
12677574Skris * cycles of random numbers and thus avoiding reuse of ids.
12777574Skris *
12877574Skris * This function is called from id_randomid() when needed, an
12977574Skris * application does not have to worry about it.
13077574Skris */
13177574Skrisstatic void
13277574Skrisip_initid(void)
13377574Skris{
13477574Skris	u_int16_t j, i;
13577574Skris	int noprime = 1;
13677574Skris	struct timeval time;
13777574Skris
13877574Skris	getmicrotime(&time);
13977574Skris	read_random((void *) &tmp, sizeof(tmp));
14077574Skris	ru_x = (tmp & 0xFFFF) % RU_M;
14177574Skris
14277574Skris	/* 15 bits of random seed */
14377574Skris	ru_seed = (tmp >> 16) & 0x7FFF;
14477574Skris	read_random((void *) &tmp, sizeof(tmp));
14577574Skris	ru_seed2 = tmp & 0x7FFF;
14677574Skris
14777574Skris	read_random((void *) &tmp, sizeof(tmp));
14877574Skris
14977574Skris	/* Determine the LCG we use */
15077574Skris	ru_b = (tmp & 0xfffe) | 1;
15177574Skris	ru_a = pmod(RU_AGEN, (tmp >> 16) & 0xfffe, RU_M);
15277574Skris	while (ru_b % 3 == 0)
15377574Skris	  ru_b += 2;
15477574Skris
15577574Skris	read_random((void *) &tmp, sizeof(tmp));
15677574Skris	j = tmp % RU_N;
15777574Skris	tmp = tmp >> 16;
15877574Skris
15977574Skris	/*
16077574Skris	 * Do a fast gcd(j,RU_N-1), so we can find a j with
16177574Skris	 * gcd(j, RU_N-1) == 1, giving a new generator for
16277574Skris	 * RU_GEN^j mod RU_N
16377574Skris	 */
16477574Skris
16577574Skris	while (noprime) {
16677574Skris		for (i=0; i<PFAC_N; i++)
16777574Skris			if (j%pfacts[i] == 0)
16877574Skris				break;
16977574Skris
17077574Skris		if (i>=PFAC_N)
17177574Skris			noprime = 0;
17277574Skris		else
17377574Skris			j = (j+1) % RU_N;
17477574Skris	}
17577574Skris
17677574Skris	ru_g = pmod(RU_GEN,j,RU_N);
17777574Skris	ru_counter = 0;
17877574Skris
17977574Skris	ru_reseed = time.tv_sec + RU_OUT;
18077574Skris	ru_msb = ru_msb == 0x8000 ? 0 : 0x8000;
18177574Skris}
18277574Skris
18377574Skrisu_int16_t
18477574Skrisip_randomid(void)
18577574Skris{
18677574Skris	int i, n;
18777574Skris	struct timeval time;
18877574Skris
18977574Skris	getmicrotime(&time);
19077574Skris	if (ru_counter >= RU_MAX || time.tv_sec > ru_reseed)
19177574Skris		ip_initid();
19277574Skris
19377574Skris	if (!tmp)
19477574Skris		read_random((void *) &tmp, sizeof(tmp));
19577574Skris
19677574Skris	/* Skip a random number of ids */
19777574Skris	n = tmp & 0x3; tmp = tmp >> 2;
19877574Skris	if (ru_counter + n >= RU_MAX)
19977574Skris		ip_initid();
20077574Skris
20177574Skris	for (i = 0; i <= n; i++)
20277574Skris		/* Linear Congruential Generator */
20377574Skris		ru_x = (ru_a*ru_x + ru_b) % RU_M;
20477574Skris
20577574Skris	ru_counter += i;
20677574Skris
20777574Skris	return (ru_seed ^ pmod(ru_g,ru_seed2 ^ ru_x,RU_N)) | ru_msb;
20877574Skris}
20977574Skris
21077574Skris#endif /* RANDOM_IP_ID */
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