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//                                               -*- C++ -*-
/**
 *  @file  TracyWidomGSE.hxx
 *  @brief The TracyWidomGSE 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: dutka $
 *  @date:   $LastChangedDate: 2010-07-12 15:45:44 +0200 (lun. 12 juil. 2010) $
 *  Id:      $Id: TracyWidomGSE.hxx 1581 2010-07-12 13:45:44Z dutka $
 */
#ifndef OPENTURNS_TRACYWIDOMGSE_HXX
#define OPENTURNS_TRACYWIDOMGSE_HXX

#include "NonEllipticalDistribution.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class TracyWidomGSE
       *
       * The TracyWidomGSE distribution.
       */
      class TracyWidomGSE
        : public Model::NonEllipticalDistribution
      {
        CLASSNAME;
      public:

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


        enum ParameterSet { RT, MUSIGMA };


        /** Default constructor */
        TracyWidomGSE();

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

        /** String converter */
        String __repr__() const;



        /* Interface inherited from Distribution */

        /** Virtual constructor */
        TracyWidomGSE * clone() const;

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

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

        /** Get the CDF of the distribution */
        using NonEllipticalDistribution::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;

        /** Get the roughness, i.e. the L2-norm of the PDF */
        NumericalScalar getRoughness() 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;

        /** 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;

      }; /* class TracyWidomGSE */


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

#endif /* OPENTURNS_TRACYWIDOMGSE_HXX */