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//                                               -*- C++ -*-
/**
 *  @file  Mixture.hxx
 *  @brief The class that implements mixtures
 *
 *  (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: Mixture.hxx 1981 2011-07-01 08:34:36Z souchaud $
 */
#ifndef OPENTURNS_MIXTURE_HXX
#define OPENTURNS_MIXTURE_HXX

#include "Distribution.hxx"
#include "DistributionImplementation.hxx"
#include "Exception.hxx"
#include "Collection.hxx"
#include "UserDefined.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class Mixture
       *
       * The class describes the probabilistic concept of Mixture.
       */
      class Mixture
        : public Model::DistributionImplementation
      {
        CLASSNAME;
      public:

        /** A type for distribution collection */
        typedef Base::Type::Collection<Model::Distribution>           DistributionCollection;
        typedef Base::Type::PersistentCollection<Model::Distribution> DistributionPersistentCollection;
        typedef Model::DistributionImplementation                     DistributionImplementation;  // required by SWIG
        typedef DistributionImplementation::InvalidArgumentException  InvalidArgumentException;
        typedef DistributionImplementation::NumericalPoint            NumericalPoint;
        typedef DistributionImplementation::NumericalSample           NumericalSample;
        typedef DistributionImplementation::Implementation            Implementation;
        typedef DistributionImplementation::Indices                   Indices;
        typedef DistributionImplementation::CovarianceMatrix          CovarianceMatrix;
        typedef DistributionImplementation::NotDefinedException       NotDefinedException;
        typedef DistributionImplementation::NumericalPointWithDescriptionCollection NumericalPointWithDescriptionCollection;

        /** Default constructor */
        explicit Mixture();

        /** Parameters constructor */
        explicit Mixture(const DistributionCollection & coll)
          /* throw (InvalidArgumentException) */;


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

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


        /** Distribution collection accessor */
        void setDistributionCollection(const DistributionCollection & coll)
          /* throw (InvalidArgumentException) */;
        const DistributionCollection & getDistributionCollection() const;



        /* Here is the interface that all derived class must implement */

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

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

        /** Get the DDF of the Mixture */
        using DistributionImplementation::computeDDF;
        NumericalPoint computeDDF(const NumericalPoint & point) const;

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

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

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

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

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

        /** Get the i-th marginal distribution */
        Mixture * getMarginal(const UnsignedLong i) const /* throw(InvalidArgumentException) */;

        /** Get the distribution of the marginal distribution corresponding to indices dimensions */
        Mixture * getMarginal(const Indices & indices) const /* throw(InvalidArgumentException) */;

        /** Parameters value and description accessor */
        NumericalPointWithDescriptionCollection getParametersCollection() const;

        /** Check if the distribution is elliptical */
        Bool isElliptical() const;

        /** Check if the distribution is continuous */
        Bool isContinuous() const;

        /** Check if the distribution is integral */
        Bool isIntegral() const;

        /** Tell if the distribution has elliptical copula */
        Bool hasEllipticalCopula() const;

        /** Tell if the distribution has independent copula */
        Bool hasIndependentCopula() 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 a mixture */
        void computeMean() const;

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

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

        /** Weights distribution accessor */
        void setWeightsDistribution(const UserDefined & weighstDistribution);
        UserDefined getWeightsDistribution() const;

        /** The collection of distribution of the mixture */
        DistributionPersistentCollection distributionCollection_;

        /** The discrete distribution of the weights */
        UserDefined weightsDistribution_;

      }; /* class Mixture */


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

#endif /* OPENTURNS_MIXTURE_HXX */