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+/* boost random/beta_distribution.hpp header file
+ *
+ * Copyright Steven Watanabe 2014
+ * Distributed under the Boost Software License, Version 1.0. (See
+ * accompanying file LICENSE_1_0.txt or copy at
+ * http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * See http://www.boost.org for most recent version including documentation.
+ *
+ * $Id$
+ */
+
+#ifndef BOOST_RANDOM_BETA_DISTRIBUTION_HPP
+#define BOOST_RANDOM_BETA_DISTRIBUTION_HPP
+
+#include <cassert>
+#include <istream>
+#include <iosfwd>
+#include <boost/random/detail/operators.hpp>
+#include <boost/random/gamma_distribution.hpp>
+
+namespace boost {
+namespace random {
+
+/**
+ * The beta distribution is a real-valued distribution which produces
+ * values in the range [0, 1]. It has two parameters, alpha and beta.
+ *
+ * It has \f$\displaystyle p(x) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha, \beta)}\f$.
+ */
+template<class RealType = double>
+class beta_distribution {
+public:
+ typedef RealType result_type;
+ typedef RealType input_type;
+
+ class param_type {
+ public:
+ typedef beta_distribution distribution_type;
+
+ /**
+ * Constructs a @c param_type from the "alpha" and "beta" parameters
+ * of the distribution.
+ *
+ * Requires: alpha > 0, beta > 0
+ */
+ explicit param_type(RealType alpha_arg = RealType(1.0),
+ RealType beta_arg = RealType(1.0))
+ : _alpha(alpha_arg), _beta(beta_arg)
+ {
+ assert(alpha_arg > 0);
+ assert(beta_arg > 0);
+ }
+
+ /** Returns the "alpha" parameter of the distribtuion. */
+ RealType alpha() const { return _alpha; }
+ /** Returns the "beta" parameter of the distribution. */
+ RealType beta() const { return _beta; }
+
+ /** Writes a @c param_type to a @c std::ostream. */
+ BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm)
+ { os << parm._alpha << ' ' << parm._beta; return os; }
+
+ /** Reads a @c param_type from a @c std::istream. */
+ BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm)
+ { is >> parm._alpha >> std::ws >> parm._beta; return is; }
+
+ /** Returns true if the two sets of parameters are the same. */
+ BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs)
+ { return lhs._alpha == rhs._alpha && lhs._beta == rhs._beta; }
+
+ /** Returns true if the two sets of parameters are the different. */
+ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type)
+
+ private:
+ RealType _alpha;
+ RealType _beta;
+ };
+
+ /**
+ * Constructs an @c beta_distribution from its "alpha" and "beta" parameters.
+ *
+ * Requires: alpha > 0, beta > 0
+ */
+ explicit beta_distribution(RealType alpha_arg = RealType(1.0),
+ RealType beta_arg = RealType(1.0))
+ : _alpha(alpha_arg), _beta(beta_arg)
+ {
+ assert(alpha_arg > 0);
+ assert(beta_arg > 0);
+ }
+ /** Constructs an @c beta_distribution from its parameters. */
+ explicit beta_distribution(const param_type& parm)
+ : _alpha(parm.alpha()), _beta(parm.beta())
+ {}
+
+ /**
+ * Returns a random variate distributed according to the
+ * beta distribution.
+ */
+ template<class URNG>
+ RealType operator()(URNG& urng) const
+ {
+ RealType a = gamma_distribution<RealType>(_alpha, RealType(1.0))(urng);
+ RealType b = gamma_distribution<RealType>(_beta, RealType(1.0))(urng);
+ return a / (a + b);
+ }
+
+ /**
+ * Returns a random variate distributed accordint to the beta
+ * distribution with parameters specified by @c param.
+ */
+ template<class URNG>
+ RealType operator()(URNG& urng, const param_type& parm) const
+ {
+ return beta_distribution(parm)(urng);
+ }
+
+ /** Returns the "alpha" parameter of the distribution. */
+ RealType alpha() const { return _alpha; }
+ /** Returns the "beta" parameter of the distribution. */
+ RealType beta() const { return _beta; }
+
+ /** Returns the smallest value that the distribution can produce. */
+ RealType min BOOST_PREVENT_MACRO_SUBSTITUTION () const
+ { return RealType(0.0); }
+ /** Returns the largest value that the distribution can produce. */
+ RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const
+ { return RealType(1.0); }
+
+ /** Returns the parameters of the distribution. */
+ param_type param() const { return param_type(_alpha, _beta); }
+ /** Sets the parameters of the distribution. */
+ void param(const param_type& parm)
+ {
+ _alpha = parm.alpha();
+ _beta = parm.beta();
+ }
+
+ /**
+ * Effects: Subsequent uses of the distribution do not depend
+ * on values produced by any engine prior to invoking reset.
+ */
+ void reset() { }
+
+ /** Writes an @c beta_distribution to a @c std::ostream. */
+ BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, beta_distribution, wd)
+ {
+ os << wd.param();
+ return os;
+ }
+
+ /** Reads an @c beta_distribution from a @c std::istream. */
+ BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, beta_distribution, wd)
+ {
+ param_type parm;
+ if(is >> parm) {
+ wd.param(parm);
+ }
+ return is;
+ }
+
+ /**
+ * Returns true if the two instances of @c beta_distribution will
+ * return identical sequences of values given equal generators.
+ */
+ BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(beta_distribution, lhs, rhs)
+ { return lhs._alpha == rhs._alpha && lhs._beta == rhs._beta; }
+
+ /**
+ * Returns true if the two instances of @c beta_distribution will
+ * return different sequences of values given equal generators.
+ */
+ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(beta_distribution)
+
+private:
+ RealType _alpha;
+ RealType _beta;
+};
+
+} // namespace random
+} // namespace boost
+
+#endif // BOOST_RANDOM_BETA_DISTRIBUTION_HPP