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random32.c
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1 /*
2  This is a maximally equidistributed combined Tausworthe generator
3  based on code from GNU Scientific Library 1.5 (30 Jun 2004)
4 
5  x_n = (s1_n ^ s2_n ^ s3_n)
6 
7  s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19))
8  s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25))
9  s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11))
10 
11  The period of this generator is about 2^88.
12 
13  From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
14  Generators", Mathematics of Computation, 65, 213 (1996), 203--213.
15 
16  This is available on the net from L'Ecuyer's home page,
17 
18  http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
19  ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
20 
21  There is an erratum in the paper "Tables of Maximally
22  Equidistributed Combined LFSR Generators", Mathematics of
23  Computation, 68, 225 (1999), 261--269:
24  http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps
25 
26  ... the k_j most significant bits of z_j must be non-
27  zero, for each j. (Note: this restriction also applies to the
28  computer code given in [4], but was mistakenly not mentioned in
29  that paper.)
30 
31  This affects the seeding procedure by imposing the requirement
32  s1 > 1, s2 > 7, s3 > 15.
33 
34 */
35 
36 #include <linux/types.h>
37 #include <linux/percpu.h>
38 #include <linux/export.h>
39 #include <linux/jiffies.h>
40 #include <linux/random.h>
41 
42 static DEFINE_PER_CPU(struct rnd_state, net_rand_state);
43 
52 {
53 #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b)
54 
55  state->s1 = TAUSWORTHE(state->s1, 13, 19, 4294967294UL, 12);
56  state->s2 = TAUSWORTHE(state->s2, 2, 25, 4294967288UL, 4);
57  state->s3 = TAUSWORTHE(state->s3, 3, 11, 4294967280UL, 17);
58 
59  return (state->s1 ^ state->s2 ^ state->s3);
60 }
62 
71 {
72  unsigned long r;
73  struct rnd_state *state = &get_cpu_var(net_rand_state);
74  r = prandom32(state);
75  put_cpu_var(state);
76  return r;
77 }
79 
86 void srandom32(u32 entropy)
87 {
88  int i;
89  /*
90  * No locking on the CPUs, but then somewhat random results are, well,
91  * expected.
92  */
94  struct rnd_state *state = &per_cpu(net_rand_state, i);
95  state->s1 = __seed(state->s1 ^ entropy, 1);
96  }
97 }
99 
100 /*
101  * Generate some initially weak seeding values to allow
102  * to start the random32() engine.
103  */
104 static int __init random32_init(void)
105 {
106  int i;
107 
109  struct rnd_state *state = &per_cpu(net_rand_state,i);
110 
111 #define LCG(x) ((x) * 69069) /* super-duper LCG */
112  state->s1 = __seed(LCG(i + jiffies), 1);
113  state->s2 = __seed(LCG(state->s1), 7);
114  state->s3 = __seed(LCG(state->s2), 15);
115 
116  /* "warm it up" */
117  prandom32(state);
118  prandom32(state);
119  prandom32(state);
120  prandom32(state);
121  prandom32(state);
122  prandom32(state);
123  }
124  return 0;
125 }
126 core_initcall(random32_init);
127 
128 /*
129  * Generate better values after random number generator
130  * is fully initialized.
131  */
132 static int __init random32_reseed(void)
133 {
134  int i;
135 
137  struct rnd_state *state = &per_cpu(net_rand_state,i);
138  u32 seeds[3];
139 
140  get_random_bytes(&seeds, sizeof(seeds));
141  state->s1 = __seed(seeds[0], 1);
142  state->s2 = __seed(seeds[1], 7);
143  state->s3 = __seed(seeds[2], 15);
144 
145  /* mix it in */
146  prandom32(state);
147  }
148  return 0;
149 }
150 late_initcall(random32_reseed);