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//                                               -*- C++ -*-
/**
 *  @file  LinearEnumerateFunction.hxx
 *  @brief The bijective function to select polynomials in the orthogonal basis
 *
 *  (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: 2008-05-21 17:44:02 +0200 (Wed, 21 May 2008) $
 *  Id:      $Id: Object.hxx 818 2008-05-21 15:44:02Z dutka $
 */
#ifndef OPENTURNS_LINEARENUMERATEFUNCTION_HXX
#define OPENTURNS_LINEARENUMERATEFUNCTION_HXX

#include "EnumerateFunctionImplementation.hxx"


namespace OpenTURNS
{

  namespace Uncertainty
  {

    namespace Algorithm
    {

      /**
       * @class LinearEnumerateFunction
       *
       * The bijective function to select polynomials in the orthogonal basis
       */

      class LinearEnumerateFunction
        : public EnumerateFunctionImplementation
      {
        CLASSNAME;
      public:

        typedef Base::Common::StorageManager StorageManager;
        typedef Base::Type::Indices          Indices;

        /** Default constructor */
        LinearEnumerateFunction();

        /** Parameter constructor */
        LinearEnumerateFunction(const UnsignedLong dimension);

        /** Virtual constrcutor */
        virtual LinearEnumerateFunction * clone() const;

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

        /** The bijective association between an integer and a set of indices */
        virtual Indices operator() (const UnsignedLong index) const;

        /** The inverse of the association */
        virtual UnsignedLong inverse(const Indices & indices) const;

        /** The cardinal of the given strata */
        virtual UnsignedLong getStrataCardinal(const UnsignedLong strataIndex) const;

        /** The cardinal of the cumulated strata above or equal to the given strata */
        virtual UnsignedLong getStrataCumulatedCardinal(const UnsignedLong strataIndex) const;

        /** 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);

      protected:

      private:
        /** Find the smallest n such that Binomial(n, n + dimension) > index and also returns the value of Binomial(n, n + dimension) */
        UnsignedLong findBinomialCoefficient(const UnsignedLong index, const UnsignedLong dimension, UnsignedLong & BinomialCoefficient) const;

      } ; /* class LinearEnumerateFunction */


    } /* namespace Algorithm */
  } /* namespace Uncertainty */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_LINEARENUMERATEFUNCTION_HXX */