2 This is a maximally equidistributed combined Tausworthe generator
3 based on code from GNU Scientific Library 1.5 (30 Jun 2004)
5 x_n = (s1_n ^ s2_n ^ s3_n)
7 s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19))
8 s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25))
9 s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11))
11 The period of this generator is about 2^88.
13 From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
14 Generators", Mathematics of Computation, 65, 213 (1996), 203--213.
16 This is available on the net from L'Ecuyer's home page,
18 http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
19 ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
21 There is an erratum in the paper "Tables of Maximally
22 Equidistributed Combined LFSR Generators", Mathematics of
23 Computation, 68, 225 (1999), 261--269:
24 http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps
26 ... the k_j most significant bits of z_j must be non-
27 zero, for each j. (Note: this restriction also applies to the
28 computer code given in [4], but was mistakenly not mentioned in
31 This affects the seeding procedure by imposing the requirement
32 s1 > 1, s2 > 7, s3 > 15.
39 static inline int __seed(unsigned int x, unsigned int m)
41 return (x < m) ? x + m : x;
44 static void __init_rand(struct frand_state *state, unsigned int seed)
48 #define LCG(x, seed) ((x) * 69069 ^ (seed))
50 state->s1 = __seed(LCG((2^31) + (2^17) + (2^7), seed), 1);
51 state->s2 = __seed(LCG(state->s1, seed), 7);
52 state->s3 = __seed(LCG(state->s2, seed), 15);
58 void init_rand(struct frand_state *state)
60 __init_rand(state, 1);
63 void init_rand_seed(struct frand_state *state, unsigned int seed)
65 __init_rand(state, seed);
68 void __fill_random_buf(void *buf, unsigned int len, unsigned long seed)
72 while ((void *) ptr - buf < len) {
75 seed *= GOLDEN_RATIO_PRIME;
80 unsigned long fill_random_buf(struct frand_state *fs, void *buf,
83 unsigned long r = __rand(fs);
85 if (sizeof(int) != sizeof(long *))
86 r *= (unsigned long) __rand(fs);
88 __fill_random_buf(buf, len, r);