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Add beta_distribution. Refs #6804.
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swatanabe committed Mar 13, 2014
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184 changes: 184 additions & 0 deletions include/boost/random/beta_distribution.hpp
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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
2 changes: 2 additions & 0 deletions test/Jamfile.v2
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Expand Up @@ -115,6 +115,8 @@ run test_old_uniform_real.cpp ;
run test_old_uniform_real_distribution.cpp /boost//unit_test_framework ;
run test_old_uniform_int.cpp ;
run test_old_uniform_int_distribution.cpp /boost//unit_test_framework ;
run test_beta.cpp ;
run test_beta_distribution.cpp /boost//unit_test_framework ;

# run nondet_random_speed.cpp ;
# run random_device.cpp ;
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28 changes: 28 additions & 0 deletions test/test_beta.cpp
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/* test_beta.cpp
*
* 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)
*
* $Id$
*
*/

#include <boost/random/beta_distribution.hpp>
#include <boost/random/uniform_real.hpp>
#include <boost/math/distributions/beta.hpp>

#define BOOST_RANDOM_DISTRIBUTION boost::random::beta_distribution<>
#define BOOST_RANDOM_DISTRIBUTION_NAME beta
#define BOOST_MATH_DISTRIBUTION boost::math::beta_distribution<>
#define BOOST_RANDOM_ARG1_TYPE double
#define BOOST_RANDOM_ARG1_NAME alpha
#define BOOST_RANDOM_ARG1_DEFAULT 1000.0
#define BOOST_RANDOM_ARG1_DISTRIBUTION(n) boost::uniform_real<>(0.00001, n)
#define BOOST_RANDOM_ARG2_TYPE double
#define BOOST_RANDOM_ARG2_NAME beta
#define BOOST_RANDOM_ARG2_DEFAULT 1000.0
#define BOOST_RANDOM_ARG2_DISTRIBUTION(n) boost::uniform_real<>(0.00001, n)

#include "test_real_distribution.ipp"
38 changes: 38 additions & 0 deletions test/test_beta_distribution.cpp
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/* test_beta_distribution.cpp
*
* 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)
*
* $Id$
*
*/

#include <boost/random/beta_distribution.hpp>
#include <limits>

#define BOOST_RANDOM_DISTRIBUTION boost::random::beta_distribution<>
#define BOOST_RANDOM_ARG1 alpha
#define BOOST_RANDOM_ARG2 beta
#define BOOST_RANDOM_ARG1_DEFAULT 1.0
#define BOOST_RANDOM_ARG2_DEFAULT 1.0
#define BOOST_RANDOM_ARG1_VALUE 7.5
#define BOOST_RANDOM_ARG2_VALUE 0.25

#define BOOST_RANDOM_DIST0_MIN 0
#define BOOST_RANDOM_DIST0_MAX 1
#define BOOST_RANDOM_DIST1_MIN 0
#define BOOST_RANDOM_DIST1_MAX 1
#define BOOST_RANDOM_DIST2_MIN 0
#define BOOST_RANDOM_DIST2_MAX 1

#define BOOST_RANDOM_TEST1_PARAMS
#define BOOST_RANDOM_TEST1_MIN 0.0
#define BOOST_RANDOM_TEST1_MAX 1.0

#define BOOST_RANDOM_TEST2_PARAMS (1.0, 1000000.0)
#define BOOST_RANDOM_TEST2_MIN 0.0
#define BOOST_RANDOM_TEST2_MAX 1.0

#include "test_distribution.ipp"

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