1*aaa248f6SStephen Hemminger /* 2*aaa248f6SStephen Hemminger This is a maximally equidistributed combined Tausworthe generator 3*aaa248f6SStephen Hemminger based on code from GNU Scientific Library 1.5 (30 Jun 2004) 4*aaa248f6SStephen Hemminger 5*aaa248f6SStephen Hemminger x_n = (s1_n ^ s2_n ^ s3_n) 6*aaa248f6SStephen Hemminger 7*aaa248f6SStephen Hemminger s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19)) 8*aaa248f6SStephen Hemminger s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25)) 9*aaa248f6SStephen Hemminger s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11)) 10*aaa248f6SStephen Hemminger 11*aaa248f6SStephen Hemminger The period of this generator is about 2^88. 12*aaa248f6SStephen Hemminger 13*aaa248f6SStephen Hemminger From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe 14*aaa248f6SStephen Hemminger Generators", Mathematics of Computation, 65, 213 (1996), 203--213. 15*aaa248f6SStephen Hemminger 16*aaa248f6SStephen Hemminger This is available on the net from L'Ecuyer's home page, 17*aaa248f6SStephen Hemminger 18*aaa248f6SStephen Hemminger http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps 19*aaa248f6SStephen Hemminger ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps 20*aaa248f6SStephen Hemminger 21*aaa248f6SStephen Hemminger There is an erratum in the paper "Tables of Maximally 22*aaa248f6SStephen Hemminger Equidistributed Combined LFSR Generators", Mathematics of 23*aaa248f6SStephen Hemminger Computation, 68, 225 (1999), 261--269: 24*aaa248f6SStephen Hemminger http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps 25*aaa248f6SStephen Hemminger 26*aaa248f6SStephen Hemminger ... the k_j most significant bits of z_j must be non- 27*aaa248f6SStephen Hemminger zero, for each j. (Note: this restriction also applies to the 28*aaa248f6SStephen Hemminger computer code given in [4], but was mistakenly not mentioned in 29*aaa248f6SStephen Hemminger that paper.) 30*aaa248f6SStephen Hemminger 31*aaa248f6SStephen Hemminger This affects the seeding procedure by imposing the requirement 32*aaa248f6SStephen Hemminger s1 > 1, s2 > 7, s3 > 15. 33*aaa248f6SStephen Hemminger 34*aaa248f6SStephen Hemminger */ 35*aaa248f6SStephen Hemminger 36*aaa248f6SStephen Hemminger #include <linux/types.h> 37*aaa248f6SStephen Hemminger #include <linux/percpu.h> 38*aaa248f6SStephen Hemminger #include <linux/module.h> 39*aaa248f6SStephen Hemminger #include <linux/random.h> 40*aaa248f6SStephen Hemminger 41*aaa248f6SStephen Hemminger struct rnd_state { 42*aaa248f6SStephen Hemminger u32 s1, s2, s3; 43*aaa248f6SStephen Hemminger }; 44*aaa248f6SStephen Hemminger 45*aaa248f6SStephen Hemminger static DEFINE_PER_CPU(struct rnd_state, net_rand_state); 46*aaa248f6SStephen Hemminger 47*aaa248f6SStephen Hemminger static u32 __random32(struct rnd_state *state) 48*aaa248f6SStephen Hemminger { 49*aaa248f6SStephen Hemminger #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b) 50*aaa248f6SStephen Hemminger 51*aaa248f6SStephen Hemminger state->s1 = TAUSWORTHE(state->s1, 13, 19, 4294967294UL, 12); 52*aaa248f6SStephen Hemminger state->s2 = TAUSWORTHE(state->s2, 2, 25, 4294967288UL, 4); 53*aaa248f6SStephen Hemminger state->s3 = TAUSWORTHE(state->s3, 3, 11, 4294967280UL, 17); 54*aaa248f6SStephen Hemminger 55*aaa248f6SStephen Hemminger return (state->s1 ^ state->s2 ^ state->s3); 56*aaa248f6SStephen Hemminger } 57*aaa248f6SStephen Hemminger 58*aaa248f6SStephen Hemminger static void __set_random32(struct rnd_state *state, unsigned long s) 59*aaa248f6SStephen Hemminger { 60*aaa248f6SStephen Hemminger if (s == 0) 61*aaa248f6SStephen Hemminger s = 1; /* default seed is 1 */ 62*aaa248f6SStephen Hemminger 63*aaa248f6SStephen Hemminger #define LCG(n) (69069 * n) 64*aaa248f6SStephen Hemminger state->s1 = LCG(s); 65*aaa248f6SStephen Hemminger state->s2 = LCG(state->s1); 66*aaa248f6SStephen Hemminger state->s3 = LCG(state->s2); 67*aaa248f6SStephen Hemminger 68*aaa248f6SStephen Hemminger /* "warm it up" */ 69*aaa248f6SStephen Hemminger __random32(state); 70*aaa248f6SStephen Hemminger __random32(state); 71*aaa248f6SStephen Hemminger __random32(state); 72*aaa248f6SStephen Hemminger __random32(state); 73*aaa248f6SStephen Hemminger __random32(state); 74*aaa248f6SStephen Hemminger __random32(state); 75*aaa248f6SStephen Hemminger } 76*aaa248f6SStephen Hemminger 77*aaa248f6SStephen Hemminger /** 78*aaa248f6SStephen Hemminger * random32 - pseudo random number generator 79*aaa248f6SStephen Hemminger * 80*aaa248f6SStephen Hemminger * A 32 bit pseudo-random number is generated using a fast 81*aaa248f6SStephen Hemminger * algorithm suitable for simulation. This algorithm is NOT 82*aaa248f6SStephen Hemminger * considered safe for cryptographic use. 83*aaa248f6SStephen Hemminger */ 84*aaa248f6SStephen Hemminger u32 random32(void) 85*aaa248f6SStephen Hemminger { 86*aaa248f6SStephen Hemminger unsigned long r; 87*aaa248f6SStephen Hemminger struct rnd_state *state = &get_cpu_var(net_rand_state); 88*aaa248f6SStephen Hemminger r = __random32(state); 89*aaa248f6SStephen Hemminger put_cpu_var(state); 90*aaa248f6SStephen Hemminger return r; 91*aaa248f6SStephen Hemminger } 92*aaa248f6SStephen Hemminger EXPORT_SYMBOL(random32); 93*aaa248f6SStephen Hemminger 94*aaa248f6SStephen Hemminger /** 95*aaa248f6SStephen Hemminger * srandom32 - add entropy to pseudo random number generator 96*aaa248f6SStephen Hemminger * @seed: seed value 97*aaa248f6SStephen Hemminger * 98*aaa248f6SStephen Hemminger * Add some additional seeding to the random32() pool. 99*aaa248f6SStephen Hemminger * Note: this pool is per cpu so it only affects current CPU. 100*aaa248f6SStephen Hemminger */ 101*aaa248f6SStephen Hemminger void srandom32(u32 entropy) 102*aaa248f6SStephen Hemminger { 103*aaa248f6SStephen Hemminger struct rnd_state *state = &get_cpu_var(net_rand_state); 104*aaa248f6SStephen Hemminger __set_random32(state, state->s1 ^ entropy); 105*aaa248f6SStephen Hemminger put_cpu_var(state); 106*aaa248f6SStephen Hemminger } 107*aaa248f6SStephen Hemminger EXPORT_SYMBOL(srandom32); 108*aaa248f6SStephen Hemminger 109*aaa248f6SStephen Hemminger /* 110*aaa248f6SStephen Hemminger * Generate some initially weak seeding values to allow 111*aaa248f6SStephen Hemminger * to start the random32() engine. 112*aaa248f6SStephen Hemminger */ 113*aaa248f6SStephen Hemminger static int __init random32_init(void) 114*aaa248f6SStephen Hemminger { 115*aaa248f6SStephen Hemminger int i; 116*aaa248f6SStephen Hemminger 117*aaa248f6SStephen Hemminger for_each_possible_cpu(i) { 118*aaa248f6SStephen Hemminger struct rnd_state *state = &per_cpu(net_rand_state,i); 119*aaa248f6SStephen Hemminger __set_random32(state, i + jiffies); 120*aaa248f6SStephen Hemminger } 121*aaa248f6SStephen Hemminger return 0; 122*aaa248f6SStephen Hemminger } 123*aaa248f6SStephen Hemminger core_initcall(random32_init); 124*aaa248f6SStephen Hemminger 125*aaa248f6SStephen Hemminger /* 126*aaa248f6SStephen Hemminger * Generate better values after random number generator 127*aaa248f6SStephen Hemminger * is fully initalized. 128*aaa248f6SStephen Hemminger */ 129*aaa248f6SStephen Hemminger static int __init random32_reseed(void) 130*aaa248f6SStephen Hemminger { 131*aaa248f6SStephen Hemminger int i; 132*aaa248f6SStephen Hemminger unsigned long seed; 133*aaa248f6SStephen Hemminger 134*aaa248f6SStephen Hemminger for_each_possible_cpu(i) { 135*aaa248f6SStephen Hemminger struct rnd_state *state = &per_cpu(net_rand_state,i); 136*aaa248f6SStephen Hemminger 137*aaa248f6SStephen Hemminger get_random_bytes(&seed, sizeof(seed)); 138*aaa248f6SStephen Hemminger __set_random32(state, seed); 139*aaa248f6SStephen Hemminger } 140*aaa248f6SStephen Hemminger return 0; 141*aaa248f6SStephen Hemminger } 142*aaa248f6SStephen Hemminger late_initcall(random32_reseed); 143