2006-10-17 01:09:42 -06:00
|
|
|
/*
|
|
|
|
This is a maximally equidistributed combined Tausworthe generator
|
|
|
|
based on code from GNU Scientific Library 1.5 (30 Jun 2004)
|
|
|
|
|
|
|
|
x_n = (s1_n ^ s2_n ^ s3_n)
|
|
|
|
|
|
|
|
s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19))
|
|
|
|
s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25))
|
|
|
|
s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11))
|
|
|
|
|
|
|
|
The period of this generator is about 2^88.
|
|
|
|
|
|
|
|
From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
|
|
|
|
Generators", Mathematics of Computation, 65, 213 (1996), 203--213.
|
|
|
|
|
|
|
|
This is available on the net from L'Ecuyer's home page,
|
|
|
|
|
|
|
|
http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
|
|
|
|
ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
|
|
|
|
|
|
|
|
There is an erratum in the paper "Tables of Maximally
|
|
|
|
Equidistributed Combined LFSR Generators", Mathematics of
|
|
|
|
Computation, 68, 225 (1999), 261--269:
|
|
|
|
http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps
|
|
|
|
|
|
|
|
... the k_j most significant bits of z_j must be non-
|
|
|
|
zero, for each j. (Note: this restriction also applies to the
|
|
|
|
computer code given in [4], but was mistakenly not mentioned in
|
|
|
|
that paper.)
|
|
|
|
|
|
|
|
This affects the seeding procedure by imposing the requirement
|
|
|
|
s1 > 1, s2 > 7, s3 > 15.
|
|
|
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
#include <linux/types.h>
|
|
|
|
#include <linux/percpu.h>
|
|
|
|
#include <linux/module.h>
|
2006-10-17 23:47:25 -06:00
|
|
|
#include <linux/jiffies.h>
|
2006-10-17 01:09:42 -06:00
|
|
|
#include <linux/random.h>
|
|
|
|
|
|
|
|
struct rnd_state {
|
|
|
|
u32 s1, s2, s3;
|
|
|
|
};
|
|
|
|
|
|
|
|
static DEFINE_PER_CPU(struct rnd_state, net_rand_state);
|
|
|
|
|
|
|
|
static u32 __random32(struct rnd_state *state)
|
|
|
|
{
|
|
|
|
#define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b)
|
|
|
|
|
|
|
|
state->s1 = TAUSWORTHE(state->s1, 13, 19, 4294967294UL, 12);
|
|
|
|
state->s2 = TAUSWORTHE(state->s2, 2, 25, 4294967288UL, 4);
|
|
|
|
state->s3 = TAUSWORTHE(state->s3, 3, 11, 4294967280UL, 17);
|
|
|
|
|
|
|
|
return (state->s1 ^ state->s2 ^ state->s3);
|
|
|
|
}
|
|
|
|
|
2008-07-30 17:29:19 -06:00
|
|
|
/*
|
|
|
|
* Handle minimum values for seeds
|
|
|
|
*/
|
|
|
|
static inline u32 __seed(u32 x, u32 m)
|
2006-10-17 01:09:42 -06:00
|
|
|
{
|
2008-07-30 17:29:19 -06:00
|
|
|
return (x < m) ? x + m : x;
|
2006-10-17 01:09:42 -06:00
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
* random32 - pseudo random number generator
|
|
|
|
*
|
|
|
|
* A 32 bit pseudo-random number is generated using a fast
|
|
|
|
* algorithm suitable for simulation. This algorithm is NOT
|
|
|
|
* considered safe for cryptographic use.
|
|
|
|
*/
|
|
|
|
u32 random32(void)
|
|
|
|
{
|
|
|
|
unsigned long r;
|
|
|
|
struct rnd_state *state = &get_cpu_var(net_rand_state);
|
|
|
|
r = __random32(state);
|
|
|
|
put_cpu_var(state);
|
|
|
|
return r;
|
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(random32);
|
|
|
|
|
|
|
|
/**
|
|
|
|
* srandom32 - add entropy to pseudo random number generator
|
|
|
|
* @seed: seed value
|
|
|
|
*
|
|
|
|
* Add some additional seeding to the random32() pool.
|
|
|
|
*/
|
|
|
|
void srandom32(u32 entropy)
|
|
|
|
{
|
2008-04-03 15:07:02 -06:00
|
|
|
int i;
|
|
|
|
/*
|
|
|
|
* No locking on the CPUs, but then somewhat random results are, well,
|
|
|
|
* expected.
|
|
|
|
*/
|
|
|
|
for_each_possible_cpu (i) {
|
|
|
|
struct rnd_state *state = &per_cpu(net_rand_state, i);
|
2008-07-30 17:29:19 -06:00
|
|
|
state->s1 = __seed(state->s1 ^ entropy, 1);
|
2008-04-03 15:07:02 -06:00
|
|
|
}
|
2006-10-17 01:09:42 -06:00
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(srandom32);
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Generate some initially weak seeding values to allow
|
|
|
|
* to start the random32() engine.
|
|
|
|
*/
|
|
|
|
static int __init random32_init(void)
|
|
|
|
{
|
|
|
|
int i;
|
|
|
|
|
|
|
|
for_each_possible_cpu(i) {
|
|
|
|
struct rnd_state *state = &per_cpu(net_rand_state,i);
|
2008-07-30 17:29:19 -06:00
|
|
|
|
|
|
|
#define LCG(x) ((x) * 69069) /* super-duper LCG */
|
|
|
|
state->s1 = __seed(LCG(i + jiffies), 1);
|
|
|
|
state->s2 = __seed(LCG(state->s1), 7);
|
|
|
|
state->s3 = __seed(LCG(state->s2), 15);
|
|
|
|
|
|
|
|
/* "warm it up" */
|
|
|
|
__random32(state);
|
|
|
|
__random32(state);
|
|
|
|
__random32(state);
|
|
|
|
__random32(state);
|
|
|
|
__random32(state);
|
|
|
|
__random32(state);
|
2006-10-17 01:09:42 -06:00
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
core_initcall(random32_init);
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Generate better values after random number generator
|
|
|
|
* is fully initalized.
|
|
|
|
*/
|
|
|
|
static int __init random32_reseed(void)
|
|
|
|
{
|
|
|
|
int i;
|
|
|
|
|
|
|
|
for_each_possible_cpu(i) {
|
|
|
|
struct rnd_state *state = &per_cpu(net_rand_state,i);
|
2008-07-30 17:29:19 -06:00
|
|
|
u32 seeds[3];
|
|
|
|
|
|
|
|
get_random_bytes(&seeds, sizeof(seeds));
|
|
|
|
state->s1 = __seed(seeds[0], 1);
|
|
|
|
state->s2 = __seed(seeds[1], 7);
|
|
|
|
state->s3 = __seed(seeds[2], 15);
|
2006-10-17 01:09:42 -06:00
|
|
|
|
2008-07-30 17:29:19 -06:00
|
|
|
/* mix it in */
|
|
|
|
__random32(state);
|
2006-10-17 01:09:42 -06:00
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
late_initcall(random32_reseed);
|