2 This is a maximally equidistributed combined Tausworthe generator
3 based on code from GNU Scientific Library 1.5 (30 Jun 2004)
5 x_n = (s1_n ^ s2_n ^ s3_n)
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))
11 The period of this generator is about 2^88.
13 From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
14 Generators", Mathematics of Computation, 65, 213 (1996), 203--213.
16 This is available on the net from L'Ecuyer's home page,
18 http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
19 ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
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
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
31 This affects the seeding procedure by imposing the requirement
32 s1 > 1, s2 > 7, s3 > 15.
36 #include <linux/types.h>
37 #include <linux/percpu.h>
38 #include <linux/module.h>
39 #include <linux/jiffies.h>
40 #include <linux/random.h>
42 static DEFINE_PER_CPU(struct rnd_state
, net_rand_state
);
45 * prandom32 - seeded pseudo-random number generator.
46 * @state: pointer to state structure holding seeded state.
48 * This is used for pseudo-randomness with no outside seeding.
49 * For more random results, use random32().
51 u32
prandom32(struct rnd_state
*state
)
53 #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b)
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);
59 return (state
->s1
^ state
->s2
^ state
->s3
);
61 EXPORT_SYMBOL(prandom32
);
64 * random32 - pseudo random number generator
66 * A 32 bit pseudo-random number is generated using a fast
67 * algorithm suitable for simulation. This algorithm is NOT
68 * considered safe for cryptographic use.
73 struct rnd_state
*state
= &get_cpu_var(net_rand_state
);
78 EXPORT_SYMBOL(random32
);
81 * srandom32 - add entropy to pseudo random number generator
84 * Add some additional seeding to the random32() pool.
86 void srandom32(u32 entropy
)
90 * No locking on the CPUs, but then somewhat random results are, well,
93 for_each_possible_cpu (i
) {
94 struct rnd_state
*state
= &per_cpu(net_rand_state
, i
);
95 state
->s1
= __seed(state
->s1
^ entropy
, 1);
98 EXPORT_SYMBOL(srandom32
);
101 * Generate some initially weak seeding values to allow
102 * to start the random32() engine.
104 static int __init
random32_init(void)
108 for_each_possible_cpu(i
) {
109 struct rnd_state
*state
= &per_cpu(net_rand_state
,i
);
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);
126 core_initcall(random32_init
);
129 * Generate better values after random number generator
130 * is fully initalized.
132 static int __init
random32_reseed(void)
136 for_each_possible_cpu(i
) {
137 struct rnd_state
*state
= &per_cpu(net_rand_state
,i
);
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);
150 late_initcall(random32_reseed
);