#include #include #include /* MINSTD is Park and Miller's minimal standard generator (i.e. it's not particularly good). The sequence is x_{n+1} = (a x_n) mod m with a = 16807 and m = 2^31 - 1 = 2147483647. The seed specifies the initial value, x_1. The theoretical value of x_{10001} is 1043618065, starting with a seed of x_1 = 1. The period of this generator is 2^31. It is used as the RNUN subroutine in the IMSL Library and the RAND function in MATLAB. The generator is sometimes known by the acronym "GGL" (I'm not sure what that stands for). From: Park and Miller, "Random Number Generators: Good ones are hard to find" Communications of the ACM, October 1988, Volume 31, No 10, pages 1192-1201. */ inline unsigned long int minstd_get (void *vstate); double minstd_get_double (void *vstate); void minstd_set (void *state, unsigned long int s); static const long int m = 2147483647, a = 16807, q = 127773, r = 2836; typedef struct { unsigned long int x; } minstd_state_t; inline unsigned long int minstd_get (void *vstate) { minstd_state_t *state = (minstd_state_t *) vstate; const unsigned long int x = state->x; const long int h = x / q; const long int t = a * (x - h * q) - h * r; if (t < 0) { state->x = t + m; } else { state->x = t; } return state->x; } double minstd_get_double (void *vstate) { return minstd_get (vstate) / 2147483647.0; } void minstd_set (void *vstate, unsigned long int s) { minstd_state_t *state = (minstd_state_t *) vstate; if (s == 0) s = 1; /* default seed is 1 */ state->x = s; return; } static const gsl_rng_type minstd_type = {"minstd", /* name */ 2147483646, /* RAND_MAX */ 1, /* RAND_MIN */ sizeof (minstd_state_t), &minstd_set, &minstd_get, &minstd_get_double}; const gsl_rng_type *gsl_rng_minstd = &minstd_type;