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-/* boost random/student_t_distribution.hpp header file
- *
- * Copyright Steven Watanabe 2011
- * 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_STUDENT_T_DISTRIBUTION_HPP
-#define BOOST_RANDOM_STUDENT_T_DISTRIBUTION_HPP
-
-#include <boost/config/no_tr1/cmath.hpp>
-#include <iosfwd>
-#include <boost/config.hpp>
-#include <boost/limits.hpp>
-#include <boost/random/detail/operators.hpp>
-#include <boost/random/chi_squared_distribution.hpp>
-#include <boost/random/normal_distribution.hpp>
-
-namespace boost {
-namespace random {
-
-/**
- * The Student t distribution is a real valued distribution with one
- * parameter n, the number of degrees of freedom.
- *
- * It has \f$\displaystyle p(x) =
- * \frac{1}{\sqrt{n\pi}}
- * \frac{\Gamma((n+1)/2)}{\Gamma(n/2)}
- * \left(1+\frac{x^2}{n}\right)^{-(n+1)/2}
- * \f$.
- */
-template<class RealType = double>
-class student_t_distribution {
-public:
- typedef RealType result_type;
- typedef RealType input_type;
-
- class param_type {
- public:
- typedef student_t_distribution distribution_type;
-
- /**
- * Constructs a @c param_type with "n" degrees of freedom.
- *
- * Requires: n > 0
- */
- explicit param_type(RealType n_arg = RealType(1.0))
- : _n(n_arg)
- {}
-
- /** Returns the number of degrees of freedom of the distribution. */
- RealType n() const { return _n; }
-
- /** Writes a @c param_type to a @c std::ostream. */
- BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm)
- { os << parm._n; return os; }
-
- /** Reads a @c param_type from a @c std::istream. */
- BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm)
- { is >> parm._n; return is; }
-
- /** Returns true if the two sets of parameters are the same. */
- BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs)
- { return lhs._n == rhs._n; }
-
- /** Returns true if the two sets of parameters are the different. */
- BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type)
-
- private:
- RealType _n;
- };
-
- /**
- * Constructs an @c student_t_distribution with "n" degrees of freedom.
- *
- * Requires: n > 0
- */
- explicit student_t_distribution(RealType n_arg = RealType(1.0))
- : _normal(), _chi_squared(n_arg)
- {}
- /** Constructs an @c student_t_distribution from its parameters. */
- explicit student_t_distribution(const param_type& parm)
- : _normal(), _chi_squared(parm.n())
- {}
-
- /**
- * Returns a random variate distributed according to the
- * Student t distribution.
- */
- template<class URNG>
- RealType operator()(URNG& urng)
- {
- using std::sqrt;
- return _normal(urng) / sqrt(_chi_squared(urng) / n());
- }
-
- /**
- * Returns a random variate distributed accordint to the Student
- * t distribution with parameters specified by @c param.
- */
- template<class URNG>
- RealType operator()(URNG& urng, const param_type& parm) const
- {
- return student_t_distribution(parm)(urng);
- }
-
- /** Returns the number of degrees of freedom. */
- RealType n() const { return _chi_squared.n(); }
-
- /** Returns the smallest value that the distribution can produce. */
- RealType min BOOST_PREVENT_MACRO_SUBSTITUTION () const
- { return -std::numeric_limits<RealType>::infinity(); }
- /** Returns the largest value that the distribution can produce. */
- RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const
- { return std::numeric_limits<RealType>::infinity(); }
-
- /** Returns the parameters of the distribution. */
- param_type param() const { return param_type(n()); }
- /** Sets the parameters of the distribution. */
- void param(const param_type& parm)
- {
- typedef chi_squared_distribution<RealType> chi_squared_type;
- typename chi_squared_type::param_type chi_squared_param(parm.n());
- _chi_squared.param(chi_squared_param);
- }
-
- /**
- * Effects: Subsequent uses of the distribution do not depend
- * on values produced by any engine prior to invoking reset.
- */
- void reset()
- {
- _normal.reset();
- _chi_squared.reset();
- }
-
- /** Writes a @c student_t_distribution to a @c std::ostream. */
- BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, student_t_distribution, td)
- {
- os << td.param();
- return os;
- }
-
- /** Reads a @c student_t_distribution from a @c std::istream. */
- BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, student_t_distribution, td)
- {
- param_type parm;
- if(is >> parm) {
- td.param(parm);
- }
- return is;
- }
-
- /**
- * Returns true if the two instances of @c student_t_distribution will
- * return identical sequences of values given equal generators.
- */
- BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(student_t_distribution, lhs, rhs)
- { return lhs._normal == rhs._normal && lhs._chi_squared == rhs._chi_squared; }
-
- /**
- * Returns true if the two instances of @c student_t_distribution will
- * return different sequences of values given equal generators.
- */
- BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(student_t_distribution)
-
-private:
- normal_distribution<RealType> _normal;
- chi_squared_distribution<RealType> _chi_squared;
-};
-
-} // namespace random
-} // namespace boost
-
-#endif // BOOST_RANDOM_STUDENT_T_DISTRIBUTION_HPP