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+/* rng/minstd.c
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, Brian Gough
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at
+ * your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#include <config.h>
+#include <stdlib.h>
+#include <gsl/gsl_rng.h>
+
+/* 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. */
+
+static inline unsigned long int minstd_get (void *vstate);
+static double minstd_get_double (void *vstate);
+static 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;
+
+static 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;
+}
+
+static double
+minstd_get_double (void *vstate)
+{
+ return minstd_get (vstate) / 2147483647.0;
+}
+
+static 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;