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//                                               -*- C++ -*-
/**
 *  @file  Geometric.hxx
 *  @brief The Geometric distribution
 *
 *  (C) Copyright 2005-2011 EDF-EADS-Phimeca
 *
 *  This library is free software; you can redistribute it and/or
 *  modify it under the terms of the GNU Lesser General Public
 *  License as published by the Free Software Foundation; either
 *  version 2.1 of the License.
 *
 *  This library is distributed in the hope that it will be useful
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *  Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  License along with this library; if not, write to the Free Software
 *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
 *
 *  @author: $LastChangedBy: souchaud $
 *  @date:   $LastChangedDate: 2011-07-01 10:34:36 +0200 (Fri, 01 Jul 2011) $
 *  Id:      $Id: Geometric.hxx 1981 2011-07-01 08:34:36Z souchaud $
 */
#ifndef OPENTURNS_GEOMETRIC_HXX
#define OPENTURNS_GEOMETRIC_HXX

#include "OTprivate.hxx"
#include "DiscreteDistribution.hxx"
#include "Exception.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class Geometric
       *
       * The Geometric distribution.
       */
      class Geometric
        : public Model::DiscreteDistribution
      {
        CLASSNAME;
      public:

        typedef Base::Common::InvalidArgumentException         InvalidArgumentException;
        typedef Model::DiscreteDistribution                    DiscreteDistribution;  // required by SWIG
        typedef DiscreteDistribution::NumericalPoint           NumericalPoint;
        typedef DiscreteDistribution::NumericalSample          NumericalSample;
        typedef DiscreteDistribution::CovarianceMatrix         CovarianceMatrix;
        typedef DiscreteDistribution::NumericalPointWithDescriptionCollection NumericalPointWithDescriptionCollection;
        typedef DiscreteDistribution::NotDefinedException      NotDefinedException;
        typedef DiscreteDistribution::StorageManager           StorageManager;

        /** Default constructor */
        Geometric();

        /** Parameters constructor */
        Geometric(const NumericalScalar p)
          /* throw (InvalidArgumentException) */;


        /** Comparison operator */
        Bool operator ==(const Geometric & other) const;

        /** String converter */
        String __repr__() const;
        String __str__(const String & offset = "") const;



        /* Interface inherited from Distribution */

        /** Virtual constructor */
        virtual Geometric * clone() const;

        /** Get one realization of the distribution */
        NumericalPoint getRealization() const;

        /** Get the PDF of the distribution */
        using DiscreteDistribution::computePDF;
        NumericalScalar computePDF(const NumericalPoint & point) const;

        /** Get the CDF of the distribution */
        using DiscreteDistribution::computeCDF;
        NumericalScalar computeCDF(const NumericalPoint & point, const Bool tail = false) const;

        /** Get the PDFGradient of the distribution */
        NumericalPoint computePDFGradient(const NumericalPoint & point) const;

        /** Get the CDFGradient of the distribution */
        NumericalPoint computeCDFGradient(const NumericalPoint & point) const;

        /** Compute the characteristic function, i.e. phi(u) = E(exp(I*u*X)) */
        NumericalComplex computeCharacteristicFunction(const NumericalScalar x,
                                                       const Bool logScale = false) const;

        /** Compute the generating function, i.e. psi(z) = E(z^X) */
        NumericalComplex computeGeneratingFunction(const NumericalComplex & z,
                                                   const Bool logScale = false) const;

        /** Get the support of a discrete distribution that intersect a given interval */
        NumericalSample getSupport(const Interval & interval) const;

        /** Get the standard deviation of the distribution */
        NumericalPoint getStandardDeviation() const /* throw(NotDefinedException) */;

        /** Get the skewness of the distribution */
        NumericalPoint getSkewness() const /* throw(NotDefinedException) */;

        /** Get the kurtosis of the distribution */
        NumericalPoint getKurtosis() const /* throw(NotDefinedException) */;

        /** Parameters value and description accessor */
        NumericalPointWithDescriptionCollection getParametersCollection() const;
        using DiscreteDistribution::setParametersCollection;
        void setParametersCollection(const NumericalPointCollection & parametersCollection);

        /* Interface specific to Geometric */

        /** P accessor */
        void setP(const NumericalScalar p)
          /* throw(InvalidArgumentException) */;
        NumericalScalar getP() const;

        /** Method save() stores the object through the StorageManager */
        void save(StorageManager::Advocate & adv) const;

        /** Method load() reloads the object from the StorageManager */
        void load(StorageManager::Advocate & adv);

      protected:


      private:

        /** Compute the mean of the distribution */
        void computeMean() const;

        /** Compute the covariance of the distribution */
        void computeCovariance() const;

        /** Get the quantile of the distribution */
        NumericalScalar computeScalarQuantile(const NumericalScalar prob,
                                              const Bool tail = false,
                                              const NumericalScalar precision = DefaultQuantileEpsilon) const;

        /** Compute the numerical range of the distribution given the parameters values */
        void computeRange();

        /** The P of the Geometric distribution */
        NumericalScalar p_;

      }; /* class Geometric */


    } /* namespace Distribution */
  } /* namespace Uncertainty */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_GEOMETRIC_HXX */