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//                                               -*- C++ -*-
/**
 *  @file  InverseNormal.hxx
 *  @brief The InverseNormal 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: $LastChangedBy$
 *  @date:   $LastChangedDate$
 *  Id:      $Id$
 */
#ifndef OPENTURNS_INVERSENORMAL_HXX
#define OPENTURNS_INVERSENORMAL_HXX

#include "OTprivate.hxx"
#include "NonEllipticalDistribution.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


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

        typedef Base::Common::InvalidArgumentException               InvalidArgumentException;
        typedef Model::NonEllipticalDistribution                     NonEllipticalDistribution;  // required by SWIG
        typedef NonEllipticalDistribution::NumericalPoint            NumericalPoint;
        typedef NonEllipticalDistribution::StorageManager            StorageManager;

        /** Default constructor */
        InverseNormal();

        /** Parameters constructor */
        InverseNormal(const NumericalScalar lambda,
                      const NumericalScalar mu)
          /* throw (InvalidArgumentException) */;


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

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


        /* Interface inherited from Distribution */

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

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

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

        /** Get the CDF of the InverseNormal distribution */
        using NonEllipticalDistribution::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 standard deviation of the distribution */
        NumericalPoint getStandardDeviation() const;

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

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

        /* Interface specific to InverseNormal */
        void setLambdaMu(const NumericalScalar lambda,
                         const NumericalScalar mu)
          /* throw (InvalidArgumentException) */;
        /** lambda accessor */
        NumericalScalar getLambda() const;

        /** mu accessor */
        NumericalScalar getMu() const;

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

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

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

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

        /** The main parameter set of the distribution */
        NumericalScalar lambda_;
        NumericalScalar mu_;

      }; /* class InverseNormal */


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

#endif /* OPENTURNS_INVERSENORMAL_HXX */