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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 | /* 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); /** * prandom_u32_state - 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 prandom_u32(). */ u32 prandom_u32_state(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(prandom_u32_state); /** * prandom_u32 - 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 prandom_u32(void) { unsigned long r; struct rnd_state *state = &get_cpu_var(net_rand_state); r = prandom_u32_state(state); put_cpu_var(state); return r; } EXPORT_SYMBOL(prandom_u32); /* * prandom_bytes_state - get the requested number of pseudo-random bytes * * @state: pointer to state structure holding seeded state. * @buf: where to copy the pseudo-random bytes to * @bytes: the requested number of bytes * * This is used for pseudo-randomness with no outside seeding. * For more random results, use prandom_bytes(). */ void prandom_bytes_state(struct rnd_state *state, void *buf, int bytes) { unsigned char *p = buf; int i; for (i = 0; i < round_down(bytes, sizeof(u32)); i += sizeof(u32)) { u32 random = prandom_u32_state(state); int j; for (j = 0; j < sizeof(u32); j++) { p[i + j] = random; random >>= BITS_PER_BYTE; } } if (i < bytes) { u32 random = prandom_u32_state(state); for (; i < bytes; i++) { p[i] = random; random >>= BITS_PER_BYTE; } } } EXPORT_SYMBOL(prandom_bytes_state); /** * prandom_bytes - get the requested number of pseudo-random bytes * @buf: where to copy the pseudo-random bytes to * @bytes: the requested number of bytes */ void prandom_bytes(void *buf, int bytes) { struct rnd_state *state = &get_cpu_var(net_rand_state); prandom_bytes_state(state, buf, bytes); put_cpu_var(state); } EXPORT_SYMBOL(prandom_bytes); /** * prandom_seed - add entropy to pseudo random number generator * @seed: seed value * * Add some additional seeding to the prandom pool. */ void prandom_seed(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, 1); } } EXPORT_SYMBOL(prandom_seed); /* * Generate some initially weak seeding values to allow * to start the prandom_u32() engine. */ static int __init prandom_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), 1); state->s2 = __seed(LCG(state->s1), 7); state->s3 = __seed(LCG(state->s2), 15); /* "warm it up" */ prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); } return 0; } core_initcall(prandom_init); /* * Generate better values after random number generator * is fully initialized. */ static int __init prandom_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], 1); state->s2 = __seed(seeds[1], 7); state->s3 = __seed(seeds[2], 15); /* mix it in */ prandom_u32_state(state); } return 0; } late_initcall(prandom_reseed); |