/* 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>#include <linux/jiffies.h>#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);}static void __set_random32(struct rnd_state *state, unsigned long s){ if (s == 0) s = 1; /* default seed is 1 */#define LCG(n) (69069 * n) state->s1 = LCG(s); state->s2 = LCG(state->s1); state->s3 = LCG(state->s2); /* "warm it up" */ __random32(state); __random32(state); __random32(state); __random32(state); __random32(state); __random32(state);}/** * 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. * Note: this pool is per cpu so it only affects current CPU. */void srandom32(u32 entropy){ struct rnd_state *state = &get_cpu_var(net_rand_state); __set_random32(state, state->s1 ^ entropy); put_cpu_var(state);}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); __set_random32(state, i + jiffies); } return 0;}core_initcall(random32_init);/* * Generate better values after random number generator * is fully initalized. */static int __init random32_reseed(void){ int i; unsigned long seed; for_each_possible_cpu(i) { struct rnd_state *state = &per_cpu(net_rand_state,i); get_random_bytes(&seed, sizeof(seed)); __set_random32(state, seed); } return 0;}late_initcall(random32_reseed);
/*
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>
#include <linux/jiffies.h>
#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);
}
static void __set_random32(struct rnd_state *state, unsigned long s)
{
if (s == 0)
s = 1; /* default seed is 1 */
#define LCG(n) (69069 * n)
state->s1 = LCG(s);
state->s2 = LCG(state->s1);
state->s3 = LCG(state->s2);
/* "warm it up" */
__random32(state);
__random32(state);
__random32(state);
__random32(state);
__random32(state);
__random32(state);
}
/**
* 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.
* Note: this pool is per cpu so it only affects current CPU.
*/
void srandom32(u32 entropy)
{
struct rnd_state *state = &get_cpu_var(net_rand_state);
__set_random32(state, state->s1 ^ entropy);
put_cpu_var(state);
}
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);
__set_random32(state, i + jiffies);
}
return 0;
}
core_initcall(random32_init);
/*
* Generate better values after random number generator
* is fully initalized.
*/
static int __init random32_reseed(void)
{
int i;
unsigned long seed;
for_each_possible_cpu(i) {
struct rnd_state *state = &per_cpu(net_rand_state,i);
get_random_bytes(&seed, sizeof(seed));
__set_random32(state, seed);
}
return 0;
}
late_initcall(random32_reseed);