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/* boost random/laplace_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_LAPLACE_DISTRIBUTION_HPP #define BOOST_RANDOM_LAPLACE_DISTRIBUTION_HPP #include #include #include #include #include namespace boost { namespace random { /** * The laplace distribution is a real-valued distribution with * two parameters, mean and beta. * * It has \f$\displaystyle p(x) = \frac{e^-{\frac{|x-\mu|}{\beta}}}{2\beta}\f$. */ template class laplace_distribution { public: typedef RealType result_type; typedef RealType input_type; class param_type { public: typedef laplace_distribution distribution_type; /** * Constructs a @c param_type from the "mean" and "beta" parameters * of the distribution. */ explicit param_type(RealType mean_arg = RealType(0.0), RealType beta_arg = RealType(1.0)) : _mean(mean_arg), _beta(beta_arg) {} /** Returns the "mean" parameter of the distribtuion. */ RealType mean() const { return _mean; } /** 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._mean << ' ' << 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._mean >> 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._mean == rhs._mean && lhs._beta == rhs._beta; } /** Returns true if the two sets of parameters are the different. */ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type) private: RealType _mean; RealType _beta; }; /** * Constructs an @c laplace_distribution from its "mean" and "beta" parameters. */ explicit laplace_distribution(RealType mean_arg = RealType(0.0), RealType beta_arg = RealType(1.0)) : _mean(mean_arg), _beta(beta_arg) {} /** Constructs an @c laplace_distribution from its parameters. */ explicit laplace_distribution(const param_type& parm) : _mean(parm.mean()), _beta(parm.beta()) {} /** * Returns a random variate distributed according to the * laplace distribution. */ template RealType operator()(URNG& urng) const { RealType exponential = exponential_distribution()(urng); if(uniform_01()(urng) < 0.5) exponential = -exponential; return _mean + _beta * exponential; } /** * Returns a random variate distributed accordint to the laplace * distribution with parameters specified by @c param. */ template RealType operator()(URNG& urng, const param_type& parm) const { return laplace_distribution(parm)(urng); } /** Returns the "mean" parameter of the distribution. */ RealType mean() const { return _mean; } /** 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(-std::numeric_limits::infinity()); } /** Returns the largest value that the distribution can produce. */ RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return RealType(std::numeric_limits::infinity()); } /** Returns the parameters of the distribution. */ param_type param() const { return param_type(_mean, _beta); } /** Sets the parameters of the distribution. */ void param(const param_type& parm) { _mean = parm.mean(); _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 laplace_distribution to a @c std::ostream. */ BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, laplace_distribution, wd) { os << wd.param(); return os; } /** Reads an @c laplace_distribution from a @c std::istream. */ BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, laplace_distribution, wd) { param_type parm; if(is >> parm) { wd.param(parm); } return is; } /** * Returns true if the two instances of @c laplace_distribution will * return identical sequences of values given equal generators. */ BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(laplace_distribution, lhs, rhs) { return lhs._mean == rhs._mean && lhs._beta == rhs._beta; } /** * Returns true if the two instances of @c laplace_distribution will * return different sequences of values given equal generators. */ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(laplace_distribution) private: RealType _mean; RealType _beta; }; } // namespace random } // namespace boost #endif // BOOST_RANDOM_LAPLACE_DISTRIBUTION_HPP