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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 | /* 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/export.h> #include <linux/jiffies.h> #include <linux/random.h> static DEFINE_PER_CPU(struct rnd_state, net_rand_state); /** * prandom32 - seeded pseudo-random number generator. * @state: pointer to state structure holding seeded state. * * This is used for pseudo-randomness with no outside seeding. * For more random results, use random32(). */ u32 prandom32(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); } EXPORT_SYMBOL(prandom32); /** * 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 = prandom32(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) { 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); state->s1 = __seed(state->s1 ^ entropy, 2); } } 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); #define LCG(x) ((x) * 69069) /* super-duper LCG */ state->s1 = __seed(LCG(i + jiffies), 2); state->s2 = __seed(LCG(state->s1), 8); state->s3 = __seed(LCG(state->s2), 16); /* "warm it up" */ prandom32(state); prandom32(state); prandom32(state); prandom32(state); prandom32(state); prandom32(state); } return 0; } core_initcall(random32_init); /* * Generate better values after random number generator * is fully initialized. */ static int __init random32_reseed(void) { int i; for_each_possible_cpu(i) { struct rnd_state *state = &per_cpu(net_rand_state,i); u32 seeds[3]; get_random_bytes(&seeds, sizeof(seeds)); state->s1 = __seed(seeds[0], 2); state->s2 = __seed(seeds[1], 8); state->s3 = __seed(seeds[2], 16); /* mix it in */ prandom32(state); } return 0; } late_initcall(random32_reseed); |