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+/* randist/cauchy.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 <math.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_rng.h>
+#include <gsl/gsl_randist.h>
+
+/* The Cauchy probability distribution is
+
+ p(x) dx = (1/(pi a)) (1 + (x/a)^2)^(-1) dx
+
+ It is also known as the Lorentzian probability distribution */
+
+double
+gsl_ran_cauchy (const gsl_rng * r, const double a)
+{
+ double u;
+ do
+ {
+ u = gsl_rng_uniform (r);
+ }
+ while (u == 0.5);
+
+ return a * tan (M_PI * u);
+}
+
+double
+gsl_ran_cauchy_pdf (const double x, const double a)
+{
+ double u = x / a;
+ double p = (1 / (M_PI * a)) / (1 + u * u);
+ return p;
+}