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//                                               -*- C++ -*-
/**
 *  @file  KernelSmoothing.hxx
 *  @brief This class acts like a (possibly truncated) KernelMixture factory, implementing density estimation
 *         using the kernel smoothing method. It uses Silverman's rule for product kernel.
 *
 *  (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: schueller $
 *  @date:   $LastChangedDate: 2011-05-24 19:30:41 +0200 (Tue, 24 May 2011) $
 *  Id:      $Id: KernelSmoothing.hxx 1910 2011-05-24 17:30:41Z schueller $
 */
#ifndef OPENTURNS_KERNELSMOOTHING_HXX
#define OPENTURNS_KERNELSMOOTHING_HXX

#include "PersistentObject.hxx"
#include "Distribution.hxx"
#include "Exception.hxx"
#include "NumericalSample.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class KernelSmoothing
       *
       * The class describes the probabilistic concept of KernelSmoothing.
       */
      class KernelSmoothing : public Base::Common::PersistentObject
      {
        CLASSNAME;
      public:

        static const UnsignedLong SmallSize; // = 250
        static const NumericalScalar CutOffPlugin; // = 5.0
        typedef Base::Stat::NumericalSample             NumericalSample;
        typedef NumericalSample::NumericalPoint         NumericalPoint;
        typedef Base::Common::InvalidDimensionException InvalidDimensionException;
        typedef Base::Common::InvalidArgumentException  InvalidArgumentException;
        typedef Base::Common::StorageManager            StorageManager;
        typedef Model::Distribution                     Distribution;

        /** Default constructor */
        explicit KernelSmoothing(const String & name = "KernelSmoothing");

        /** Default constructor */
        explicit KernelSmoothing(const Distribution & kernel, const String & name = "KernelSmoothing")
          /* throw (InvalidArgumentException) */;

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

        /** Build a Normal kernel mixture based on the given sample. If no bandwith has already been set, Silverman's rule is used
         * @deprecated
         * This method is deprecated. Use build() instead.
         */
        virtual Distribution buildImplementation(const NumericalSample & sample,
                                                 const Bool boundaryCorrection = false) DEPRECATED;
        /** Build a Normal kernel mixture based on the given sample. If no bandwith has already been set, Silverman's rule is used */
        virtual Distribution build(const NumericalSample & sample,
                                   const Bool boundaryCorrection = false);

        /** Build a (possibly truncated) kernel mixture based on the given sample and bandwidth
         * @deprecated
         * This method is deprecated. Use build() instead.
         */
        virtual Distribution buildImplementation(const NumericalSample & sample,
                                                 const NumericalPoint & bandwidth,
                                                 const Bool boundaryCorrection = false) DEPRECATED
          /* throw(InvalidDimensionException, InvalidArgumentException) */;
        /** Build a (possibly truncated) kernel mixture based on the given sample and bandwidth */
        virtual Distribution build(const NumericalSample & sample,
                                   const NumericalPoint & bandwidth,
                                   const Bool boundaryCorrection = false)
          /* throw(InvalidDimensionException, InvalidArgumentException) */;

        /** Bandwidth accessor */
        NumericalPoint getBandwidth() const;

        /** Kernel accessor */
        Distribution getKernel() const;

        /** Compute the bandwidth according to Silverman's rule */
        NumericalPoint computeSilvermanBandwidth(const NumericalSample & sample);

        /** Compute the bandwidth according to the plugin rule. Warning!
         * it can take a lot of time for large samples, as the cost is
         * quadratic with the sample size
         */
        NumericalPoint computePluginBandwidth(const NumericalSample & sample);

        /** Compute the bandwidth according to a mixed rule:
         * simply use the plugin rule for small sample, and
         * estimate the ratio between the plugin rule and
         * the Silverman rule on a small sample, then
         * scale the Silverman bandwidth computed on the full
         * sample with this ratio
         */
        NumericalPoint computeMixedBandwidth(const NumericalSample & sample);

        /** Method save() stores the object through the StorageManager */
        virtual void save(StorageManager::Advocate & adv) const;

        /** Method load() reloads the object from the StorageManager */
        virtual void load(StorageManager::Advocate & adv);

      private:

        void setBandwidth(const NumericalPoint & bandwidth)
          /* throw(InvalidArgumentException) */;

        // Bandwith of the smoothing
        NumericalPoint bandwidth_;
        // 1D kernel for kernel product
        Distribution kernel_;

      }; /* class KernelSmoothing */


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

#endif /* OPENTURNS_KERNELSMOOTHING_HXX */