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

#include "NonEllipticalDistribution.hxx"
#include "Distribution.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


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

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

        // If the mass of the underlying distribution is at least this value, use rejection for sampling
        static const NumericalScalar DefaultThresholdRealization;

        enum BoundSide { LOWER, UPPER };

        /** Default constructor */
        TruncatedDistribution();

        /** Parameters constructor to use when the two bounds are finite */
        TruncatedDistribution(const Distribution & distribution,
                              const NumericalScalar lowerBound,
                              const NumericalScalar upperBound,
                              const NumericalScalar thresholdRealization = DefaultThresholdRealization)
          /* throw (InvalidArgumentException) */;

        /** Parameters constructor to use when one of the bounds is not finite */
        TruncatedDistribution(const Distribution & distribution,
                              const NumericalScalar bound,
                              const BoundSide side = LOWER,
                              const NumericalScalar thresholdRealization = DefaultThresholdRealization)
          /* throw (InvalidArgumentException) */;

        /** Parameters constructor to use when the two bounds are finite */
        TruncatedDistribution(const Distribution & distribution,
                              const Interval & truncationInterval,
                              const NumericalScalar thresholdRealization = DefaultThresholdRealization)
          /* throw (InvalidArgumentException) */;

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

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

        /* Interface inherited from Distribution */

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

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

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


        /* Interface specific to TruncatedDistribution */

        /** Distribution accessor */
        void setDistribution(const Distribution & distribution) /* throw (InvalidArgumentException) */;
        Distribution getDistribution() const;

        /** Lower bound accessor */
        void setLowerBound(const NumericalScalar lowerBound) /* throw (InvalidArgumentException) */;
        NumericalScalar getLowerBound() const;

        /** Lower bound finite flag accessor */
        void setFiniteLowerBound(const Bool finiteLowerBound) /* throw (InvalidArgumentException) */;
        Bool getFiniteLowerBound() const;

        /** Upper bound accessor */
        void setUpperBound(const NumericalScalar upperBound) /* throw (InvalidArgumentException) */;
        NumericalScalar getUpperBound() const;

        /** Upper bound finite flag accessor */
        void setFiniteUpperBound(const Bool finiteUpperBound) /* throw (InvalidArgumentException) */;
        Bool getFiniteUpperBound() const;

        /** Threshold realization accessor */
        void setThresholdRealization(const NumericalScalar thresholdRealization)
          /* throw (InvalidArgumentException) */;
        NumericalScalar getThresholdRealization() const;

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

        /** Tell if the distribution is integer valued */
        Bool isIntegral() const;

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

        /** 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 main parameter set of the distribution */
        Distribution distribution_;
        NumericalScalar lowerBound_;
        Bool finiteLowerBound_;
        NumericalScalar upperBound_;
        Bool finiteUpperBound_;
        NumericalScalar thresholdRealization_;
        /** Usefull quantities */
        NumericalScalar pdfLowerBound_;
        NumericalScalar pdfUpperBound_;
        NumericalScalar cdfLowerBound_;
        NumericalScalar cdfUpperBound_;
        NumericalScalar normalizationFactor_;
      }; /* class TruncatedDistribution */


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

#endif /* OPENTURNS_TRUNCATEDDISTRIBUTION_HXX */