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Annotation of sys/netinet/ip_id.c, Revision 1.1.1.1

1.1       nbrk        1: /* $OpenBSD: ip_id.c,v 1.14 2007/05/27 19:59:11 dlg 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:  *
                     21:  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
                     22:  * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
                     23:  * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
                     24:  * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
                     25:  * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
                     26:  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
                     27:  * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
                     28:  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
                     29:  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
                     30:  * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
                     31:  */
                     32:
                     33: /*
                     34:  * seed = random 15bit
                     35:  * n = prime, g0 = generator to n,
                     36:  * j = random so that gcd(j,n-1) == 1
                     37:  * g = g0^j mod n will be a generator again.
                     38:  *
                     39:  * X[0] = random seed.
                     40:  * X[n] = a*X[n-1]+b mod m is a Linear Congruential Generator
                     41:  * with a = 7^(even random) mod m,
                     42:  *      b = random with gcd(b,m) == 1
                     43:  *      m = 31104 and a maximal period of m-1.
                     44:  *
                     45:  * The transaction id is determined by:
                     46:  * id[n] = seed xor (g^X[n] mod n)
                     47:  *
                     48:  * Effectively the id is restricted to the lower 15 bits, thus
                     49:  * yielding two different cycles by toggling the msb on and off.
                     50:  * This avoids reuse issues caused by reseeding.
                     51:  */
                     52:
                     53: #include <sys/param.h>
                     54: #include <sys/kernel.h>
                     55:
                     56: #include <dev/rndvar.h>
                     57:
                     58: #define RU_OUT  180            /* Time after wich will be reseeded */
                     59: #define RU_MAX 30000           /* Uniq cycle, avoid blackjack prediction */
                     60: #define RU_GEN 2               /* Starting generator */
                     61: #define RU_N   32749           /* RU_N-1 = 2*2*3*2729 */
                     62: #define RU_AGEN        7               /* determine ru_a as RU_AGEN^(2*rand) */
                     63: #define RU_M   31104           /* RU_M = 2^7*3^5 - don't change */
                     64:
                     65: #define PFAC_N 3
                     66: const static u_int16_t pfacts[PFAC_N] = {
                     67:        2,
                     68:        3,
                     69:        2729
                     70: };
                     71:
                     72: static u_int16_t ru_x;
                     73: static u_int16_t ru_seed, ru_seed2;
                     74: static u_int16_t ru_a, ru_b;
                     75: static u_int16_t ru_g;
                     76: static u_int16_t ru_counter = 0;
                     77: static u_int16_t ru_msb = 0;
                     78: static long ru_reseed;
                     79: static u_int32_t tmp;          /* Storage for unused random */
                     80:
                     81: u_int16_t pmod(u_int16_t, u_int16_t, u_int16_t);
                     82: void ip_initid(void);
                     83: u_int16_t ip_randomid(void);
                     84:
                     85: /*
                     86:  * Do a fast modular exponation, returned value will be in the range
                     87:  * of 0 - (mod-1)
                     88:  */
                     89:
                     90: u_int16_t
                     91: pmod(u_int16_t gen, u_int16_t expo, u_int16_t mod)
                     92: {
                     93:        u_int16_t s, t, u;
                     94:
                     95:        s = 1;
                     96:        t = gen;
                     97:        u = expo;
                     98:
                     99:        while (u) {
                    100:                if (u & 1)
                    101:                        s = (s*t) % mod;
                    102:                u >>= 1;
                    103:                t = (t*t) % mod;
                    104:        }
                    105:        return (s);
                    106: }
                    107:
                    108: /*
                    109:  * Initalizes the seed and chooses a suitable generator. Also toggles
                    110:  * the msb flag. The msb flag is used to generate two distinct
                    111:  * cycles of random numbers and thus avoiding reuse of ids.
                    112:  *
                    113:  * This function is called from id_randomid() when needed, an
                    114:  * application does not have to worry about it.
                    115:  */
                    116: void
                    117: ip_initid(void)
                    118: {
                    119:        u_int16_t j, i;
                    120:        int noprime = 1;
                    121:
                    122:        ru_x = ((tmp = arc4random()) & 0xFFFF) % RU_M;
                    123:
                    124:        /* 15 bits of random seed */
                    125:        ru_seed = (tmp >> 16) & 0x7FFF;
                    126:        ru_seed2 = arc4random() & 0x7FFF;
                    127:
                    128:        /* Determine the LCG we use */
                    129:        ru_b = ((tmp = arc4random()) & 0xfffe) | 1;
                    130:        ru_a = pmod(RU_AGEN, (tmp >> 16) & 0xfffe, RU_M);
                    131:        while (ru_b % 3 == 0)
                    132:                ru_b += 2;
                    133:
                    134:        j = (tmp = arc4random()) % RU_N;
                    135:        tmp = tmp >> 16;
                    136:
                    137:        /*
                    138:         * Do a fast gcd(j,RU_N-1), so we can find a j with
                    139:         * gcd(j, RU_N-1) == 1, giving a new generator for
                    140:         * RU_GEN^j mod RU_N
                    141:         */
                    142:
                    143:        while (noprime) {
                    144:                for (i = 0; i < PFAC_N; i++)
                    145:                        if (j % pfacts[i] == 0)
                    146:                                break;
                    147:
                    148:                if (i >= PFAC_N)
                    149:                        noprime = 0;
                    150:                else
                    151:                        j = (j+1) % RU_N;
                    152:        }
                    153:
                    154:        ru_g = pmod(RU_GEN,j,RU_N);
                    155:        ru_counter = 0;
                    156:
                    157:        ru_reseed = time_second + RU_OUT;
                    158:        ru_msb = ru_msb == 0x8000 ? 0 : 0x8000;
                    159: }
                    160:
                    161: u_int16_t
                    162: ip_randomid(void)
                    163: {
                    164:        int i, n;
                    165:
                    166:        if (ru_counter >= RU_MAX || time_second > ru_reseed)
                    167:                ip_initid();
                    168:
                    169: #if 0
                    170:        if (!tmp)
                    171:                tmp = arc4random();
                    172:
                    173:        /* Skip a random number of ids */
                    174:        n = tmp & 0x3; tmp = tmp >> 2;
                    175:        if (ru_counter + n >= RU_MAX)
                    176:                ip_initid();
                    177: #else
                    178:        n = 0;
                    179: #endif
                    180:
                    181:        for (i = 0; i <= n; i++)
                    182:                /* Linear Congruential Generator */
                    183:                ru_x = (ru_a * ru_x + ru_b) % RU_M;
                    184:
                    185:        ru_counter += i;
                    186:
                    187:        return (ru_seed ^ pmod(ru_g,ru_seed2 + ru_x, RU_N)) | ru_msb;
                    188: }

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