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// ==========================================================================
// SeqAn - The Library for Sequence Analysis
// ==========================================================================
// Copyright (c) 2006-2013, Knut Reinert, FU Berlin
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
// * Neither the name of Knut Reinert or the FU Berlin nor the names of
// its contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL KNUT REINERT OR THE FU BERLIN BE LIABLE
// FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
// DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
// CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
// LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
// OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
// DAMAGE.
//
// ==========================================================================
// Author: Manuel Holtgrewe <manuel.holtgrewe@fu-berlin.de>
// ==========================================================================
// Code for random number generation following beta distribution.
// ==========================================================================
#ifndef SEQAN_RANDOM_RANDOM_BETA_H_
#define SEQAN_RANDOM_RANDOM_BETA_H_
#include "random_beta_kfunc.h"
namespace seqan {
// ===========================================================================
// Forwards, Tags.
// ===========================================================================
// Specialization Tag for normal distribution.
struct Beta_;
typedef Tag<Beta_> Beta;
// Selection of construction with alpha and beta.
struct AlphaBeta_;
typedef Tag<AlphaBeta_> AlphaBeta;
// Selection of construction with mu and sigma.
struct MeanStdDev_;
typedef Tag<MeanStdDev_> MeanStdDev;
// ===========================================================================
// Classes
// ===========================================================================
/*!
* @class BetaPdf Beta Pdf
* @extends Pdf
* @headerfile <seqan/random.h>
* @brief Probability density function for the Beta function.
*
* @signature template <>
* class Pdf<Beta>;
*
*
* @fn BetaPdf::Pdf
* @brief Constructor for the beta Pdf.
*
* Use the tags <tt>AlphaBeta</tt> and <tt>MeanStdDev</tt> to select the meaning of the two parameters.
*
* @signature Pdf::Pdf(alpha, beta[, AlphaBeta()]);
* @signature Pdf::Pdf(mu, sigma, MeanStdDev());
*
* @param[in] alpha Alpha value for the beta distribution, <tt>double</tt>.
* @param[in] beta Beta value for the beta distribution, <tt>double</tt>.
* @param[in] mu Mean value for the beta distribution, <tt>double</tt>.
* @param[in] sigma Standard deviation value for the beta distribution, <tt>double</tt>.
*/
/**
.Spec.Beta Pdf
..signature:Pdf<Beta>
..general:Class.Pdf
..summary:Beta probability density function.
..cat:Random
..include:seqan/random.h
*/
template <>
class Pdf<Beta>
{
public:
double _alpha;
double _beta;
/**
.Memfunc.Beta Pdf#Pdf
..class:Spec.Beta Pdf
..summary:Constructor for beta Pdf.
..description:Use the tags $AlphaBeta$ and $MeanStdDev$ to select the meaning of the two parameters.
..signature:Pdf::Pdf(mu, sigma[, AlphaBeta()])
..signature:Pdf::Pdf(mu, sigma, MeanStdDev())
..param.mu:Mean of the beta distribution.
...type:nolink:double
..param.sigma:Standard deviation of the beta distribution.
...type:nolink:double
*/
Pdf(double mu, double sigma, MeanStdDev const & /*tag*/)
: _alpha(((1 - mu) / sigma / sigma - 1 / mu) * mu * mu),
_beta(_alpha * (1 / mu - 1))
{}
Pdf(double alpha, double beta, AlphaBeta const & /*tag*/) :
_alpha(alpha), _beta(beta)
{}
Pdf(double alpha, double beta) :
_alpha(alpha), _beta(beta)
{}
};
// ===========================================================================
// Metafunctions
// ===========================================================================
template <>
struct Value<Pdf<Beta> >
{
typedef double Type;
};
template <>
struct Value<const Pdf<Beta> > : Value<Pdf<Beta> > {};
// ===========================================================================
// Functions
// ===========================================================================
template <typename TRNG>
inline
typename Value<Pdf<Beta> >::Type
pickRandomNumber(TRNG & rng, Pdf<Beta> const & pdf)
{
Pdf<Uniform<double> > pdfUniform(0, 1);
return 1 - kf_betai(pdf._alpha, pdf._beta, pickRandomNumber(rng, pdfUniform));
}
} // namespace seqan
#endif // SEQAN_RANDOM_RANDOM_BETA_H_
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