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//                                               -*- C++ -*-
/**
 *  @file  GumbelCopula.hxx
 *  @brief The GumbelCopula 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: GumbelCopula.hxx 1981 2011-07-01 08:34:36Z souchaud $
 */
#ifndef OPENTURNS_GUMBELCOPULA_HXX
#define OPENTURNS_GUMBELCOPULA_HXX

#include "ArchimedeanCopula.hxx"
#include "Exception.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class GumbelCopula
       *
       * The GumbelCopula distribution.
       */
      class GumbelCopula
        : public Model::ArchimedeanCopula
      {
        CLASSNAME;
      public:

        typedef Base::Common::InvalidArgumentException       InvalidArgumentException;
        typedef Model::ArchimedeanCopula                     ArchimedeanCopula;  // required by SWIG
        typedef ArchimedeanCopula::NumericalPoint            NumericalPoint;
        typedef ArchimedeanCopula::NumericalPointWithDescriptionCollection  NumericalPointWithDescriptionCollection;
        typedef ArchimedeanCopula::NotDefinedException       NotDefinedException;
        typedef ArchimedeanCopula::StorageManager            StorageManager;


        /** Default constructor */
        GumbelCopula();

        /** Parameters constructor */
        GumbelCopula(const NumericalScalar theta)
          /* throw(InvalidArgumentException) */;


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

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



        /* Interface inherited from Distribution */
        /** Virtual constructor */
        virtual GumbelCopula * clone() const;

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

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

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

        /** Get the CDF of the distribution */
        using ArchimedeanCopula::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 quantile of the distribution */
        NumericalPoint computeQuantile(const NumericalScalar prob,
                                       const Bool tail = false) const;

        /** Compute the CDF of Xi | X1, ..., Xi-1. x = Xi, y = (X1,...,Xi-1) */
        NumericalScalar computeConditionalCDF(const NumericalScalar x, const NumericalPoint & y) const;

        /** Compute the quantile of Xi | X1, ..., Xi-1, i.e. x such that CDF(x|y) = q with x = Xi, y = (X1,...,Xi-1) */
        NumericalScalar computeConditionalQuantile(const NumericalScalar q, const NumericalPoint & y) const;

        /** Compute the archimedean generator of the archimedean copula, i.e.
         *  the function phi such that the CDF of the copula can
         *  be written as CDF(t) = phi^{-1}(phi(u)+phi(v))
         */
        NumericalScalar computeArchimedeanGenerator(const NumericalScalar t) const;

        /** Compute the inverse of the archimedean generator */
        NumericalScalar computeInverseArchimedeanGenerator(const NumericalScalar t) const;

        /** Compute the derivative of the archimedean generator */
        NumericalScalar computeArchimedeanGeneratorDerivative(const NumericalScalar t) const;

        /** Compute the second derivative of the archimedean generator */
        NumericalScalar computeArchimedeanGeneratorSecondDerivative(const NumericalScalar t) const;

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

        /** Tell if the distribution has independent copula */
        Bool hasIndependentCopula() const;

        /* Interface specific to GumbelCopula */

        /** Theta accessor */
        void setTheta(const NumericalScalar theta)
          /* throw(InvalidArgumentException) */;
        NumericalScalar getTheta() 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:

        /** The parameter of the GumbelCopula distribution */
        NumericalScalar theta_;

      }; /* class GumbelCopula */


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

#endif /* OPENTURNS_GUMBELCOPULA_HXX */