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1/* $OpenBSD: arc4random.c,v 1.20 2008/10/03 18:46:04 otto Exp $ */
2
3/*
4 * Copyright (c) 1996, David Mazieres <dm@uun.org>
5 * Copyright (c) 2008, Damien Miller <djm@openbsd.org>
6 *
7 * Permission to use, copy, modify, and distribute this software for any
8 * purpose with or without fee is hereby granted, provided that the above
9 * copyright notice and this permission notice appear in all copies.
10 *
11 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
12 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
13 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
14 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
15 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
16 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
17 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
18 */
19
20/*
21 * Arc4 random number generator for OpenBSD.
22 *
23 * This code is derived from section 17.1 of Applied Cryptography,
24 * second edition, which describes a stream cipher allegedly
25 * compatible with RSA Labs "RC4" cipher (the actual description of
26 * which is a trade secret). The same algorithm is used as a stream
27 * cipher called "arcfour" in Tatu Ylonen's ssh package.
28 *
29 * Here the stream cipher has been modified always to include the time
30 * when initializing the state. That makes it impossible to
31 * regenerate the same random sequence twice, so this can't be used
32 * for encryption, but will generate good random numbers.
33 *
34 * RC4 is a registered trademark of RSA Laboratories.
35 */
36
37#include <fcntl.h>
38#include <limits.h>
39#include <stdlib.h>
40#include <unistd.h>
41#include <sys/types.h>
42#include <sys/param.h>
43#include <sys/time.h>
44#include <sys/sysctl.h>
45#include "thread_private.h"
46
47#ifdef __GNUC__
48#define inline __inline
49#else /* !__GNUC__ */
50#define inline
51#endif /* !__GNUC__ */
52
53struct arc4_stream {
54 u_int8_t i;
55 u_int8_t j;
56 u_int8_t s[256];
57};
58
59static int rs_initialized;
60static struct arc4_stream rs;
61static pid_t arc4_stir_pid;
62static int arc4_count;
63
64static inline u_int8_t arc4_getbyte(void);
65
66static inline void
67arc4_init(void)
68{
69 int n;
70
71 for (n = 0; n < 256; n++)
72 rs.s[n] = n;
73 rs.i = 0;
74 rs.j = 0;
75}
76
77static inline void
78arc4_addrandom(u_char *dat, int datlen)
79{
80 int n;
81 u_int8_t si;
82
83 rs.i--;
84 for (n = 0; n < 256; n++) {
85 rs.i = (rs.i + 1);
86 si = rs.s[rs.i];
87 rs.j = (rs.j + si + dat[n % datlen]);
88 rs.s[rs.i] = rs.s[rs.j];
89 rs.s[rs.j] = si;
90 }
91 rs.j = rs.i;
92}
93
94static void
95arc4_stir(void)
96{
97 int i, mib[2];
98 size_t len;
99 u_char rnd[128];
100
101 if (!rs_initialized) {
102 arc4_init();
103 rs_initialized = 1;
104 }
105
106 mib[0] = CTL_KERN;
107 mib[1] = KERN_ARND;
108
109 len = sizeof(rnd);
110 sysctl(mib, 2, rnd, &len, NULL, 0);
111
112 arc4_stir_pid = getpid();
113 arc4_addrandom(rnd, sizeof(rnd));
114
115 /*
116 * Discard early keystream, as per recommendations in:
117 * http://www.wisdom.weizmann.ac.il/~itsik/RC4/Papers/Rc4_ksa.ps
118 */
119 for (i = 0; i < 256; i++)
120 (void)arc4_getbyte();
121 arc4_count = 1600000;
122}
123
124static inline u_int8_t
125arc4_getbyte(void)
126{
127 u_int8_t si, sj;
128
129 rs.i = (rs.i + 1);
130 si = rs.s[rs.i];
131 rs.j = (rs.j + si);
132 sj = rs.s[rs.j];
133 rs.s[rs.i] = sj;
134 rs.s[rs.j] = si;
135 return (rs.s[(si + sj) & 0xff]);
136}
137
138static inline u_int32_t
139arc4_getword(void)
140{
141 u_int32_t val;
142 val = arc4_getbyte() << 24;
143 val |= arc4_getbyte() << 16;
144 val |= arc4_getbyte() << 8;
145 val |= arc4_getbyte();
146 return val;
147}
148
149void
150arc4random_stir(void)
151{
152 _ARC4_LOCK();
153 arc4_stir();
154 _ARC4_UNLOCK();
155}
156
157void
158arc4random_addrandom(u_char *dat, int datlen)
159{
160 _ARC4_LOCK();
161 if (!rs_initialized)
162 arc4_stir();
163 arc4_addrandom(dat, datlen);
164 _ARC4_UNLOCK();
165}
166
167u_int32_t
168arc4random(void)
169{
170 u_int32_t val;
171 _ARC4_LOCK();
172 arc4_count -= 4;
173 if (arc4_count <= 0 || !rs_initialized || arc4_stir_pid != getpid())
174 arc4_stir();
175 val = arc4_getword();
176 _ARC4_UNLOCK();
177 return val;
178}
179
180void
181arc4random_buf(void *_buf, size_t n)
182{
183 u_char *buf = (u_char *)_buf;
184 _ARC4_LOCK();
185 if (!rs_initialized || arc4_stir_pid != getpid())
186 arc4_stir();
187 while (n--) {
188 if (--arc4_count <= 0)
189 arc4_stir();
190 buf[n] = arc4_getbyte();
191 }
192 _ARC4_UNLOCK();
193}
194
195/*
196 * Calculate a uniformly distributed random number less than upper_bound
197 * avoiding "modulo bias".
198 *
199 * Uniformity is achieved by generating new random numbers until the one
200 * returned is outside the range [0, 2**32 % upper_bound). This
201 * guarantees the selected random number will be inside
202 * [2**32 % upper_bound, 2**32) which maps back to [0, upper_bound)
203 * after reduction modulo upper_bound.
204 */
205u_int32_t
206arc4random_uniform(u_int32_t upper_bound)
207{
208 u_int32_t r, min;
209
210 if (upper_bound < 2)
211 return 0;
212
213#if (ULONG_MAX > 0xffffffffUL)
214 min = 0x100000000UL % upper_bound;
215#else
216 /* Calculate (2**32 % upper_bound) avoiding 64-bit math */
217 if (upper_bound > 0x80000000)
218 min = 1 + ~upper_bound; /* 2**32 - upper_bound */
219 else {
220 /* (2**32 - (x * 2)) % x == 2**32 % x when x <= 2**31 */
221 min = ((0xffffffff - (upper_bound * 2)) + 1) % upper_bound;
222 }
223#endif
224
225 /*
226 * This could theoretically loop forever but each retry has
227 * p > 0.5 (worst case, usually far better) of selecting a
228 * number inside the range we need, so it should rarely need
229 * to re-roll.
230 */
231 for (;;) {
232 r = arc4random();
233 if (r >= min)
234 break;
235 }
236
237 return r % upper_bound;
238}
239
240#if 0
241/*-------- Test code for i386 --------*/
242#include <stdio.h>
243#include <machine/pctr.h>
244int
245main(int argc, char **argv)
246{
247 const int iter = 1000000;
248 int i;
249 pctrval v;
250
251 v = rdtsc();
252 for (i = 0; i < iter; i++)
253 arc4random();
254 v = rdtsc() - v;
255 v /= iter;
256
257 printf("%qd cycles\n", v);
258}
259#endif