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//                                               -*- C++ -*-
/**
 *  @file  Interval.hxx
 *  @brief Interval is defined as the cartesian product of n 1D intervalls ]low_1, up_1]x...x]low_n,up_n]
 *
 *  (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: Interval.hxx 1981 2011-07-01 08:34:36Z souchaud $
 */
#ifndef OPENTURNS_INTERVAL_HXX
#define OPENTURNS_INTERVAL_HXX

#include "PersistentObject.hxx"
#include "Exception.hxx"
#include "Collection.hxx"
#include "PersistentCollection.hxx"
#include "NumericalPoint.hxx"

namespace OpenTURNS {

  namespace Base {

    namespace Type {

      /**
       * @class Interval
       *
       * A class that holds a collection of interval
       */
      class Interval
        : public Common::PersistentObject
      {
        CLASSNAME;

      public:
        typedef Type::Collection<UnsignedLong>           BoolCollection;
        typedef Type::PersistentCollection<UnsignedLong> BoolPersistentCollection;
        typedef Common::InvalidArgumentException         InvalidArgumentException;
        typedef Common::PersistentObject                 PersistentObject;
        typedef Base::Common::StorageManager             StorageManager;

        /** Default constructor */
        explicit Interval(const UnsignedLong dimension = 1);

        /** Parameters constructor, simplified for 1D case */
        Interval(const NumericalScalar lowerBound,
                 const NumericalScalar upperBound);

        /** Parameters constructor */
        Interval(const NumericalPoint & lowerBound,
                 const NumericalPoint & upperBound)
          /* throw(InvalidArgumentException) */;


        /** Parameters constructor */
        Interval(const NumericalPoint & lowerBound,
                 const NumericalPoint & upperBound,
                 const BoolCollection & finiteLowerBound,
                 const BoolCollection & finiteUpperBound)
          /* throw(InvalidArgumentException) */;

        /** Virtual constructor method */
        Interval * clone() const;

        /** Check if the interval is empty, i.e. if we have lowerBound >= upperBound for at least one component */
        Bool isEmpty() const;

        /** Check if the interval is numerically empty, i.e. if we have lowerBound >= upperBound for at least one component */
        Bool isNumericallyEmpty() const;

        /** Check if the given point is inside of the closed interval */
        Bool isInside(const NumericalPoint & point) const;

        /** Check if the given point is numerically inside of the closed interval, i.e. using only the bounds part of the interval */
        Bool isNumericallyInside(const NumericalPoint & point) const;

        /** Get the numerical volume of the interval */
        NumericalScalar getNumericalVolume() const;

        /** Returns the interval equals to the intersection between the interval and another one */
        Interval intersect(const Interval & other) const;

        /** Returns the interval equals to the union between the interval and another one */
        Interval join(const Interval & other) const;

        /** Addition operator */
        Interval operator +(const Interval & rhs) const
          /* throw (InvalidArgumentException) */;

        /** Substraction operator */
        Interval operator -(const Interval & rhs) const
          /* throw (InvalidArgumentException) */;

        /** In-place addition operator */
        Interval & operator +=(const Interval & other) /* throw (InvalidArgumentException) */;

        /** In-place substraction operator */
        Interval & operator -=(const Interval & other) /* throw (InvalidArgumentException) */;

        /** Product operator */
        Interval operator *(const NumericalScalar scalar) const;

        /**  In-place product operator */
        Interval & operator *=(const NumericalScalar scalar);

        /** Comparison operator */
        Bool operator == (const Interval & rhs) const ;

        /** Dimension accessor */
        UnsignedLong getDimension() const;

        /** Lower bound accessor */
        NumericalPoint getLowerBound() const;
        void setLowerBound(const NumericalPoint & lowerBound);

        /** Upper bound accessor */
        NumericalPoint getUpperBound() const;
        void setUpperBound(const NumericalPoint & upperBound);

        /** Lower bound flag accessor */
        BoolCollection getFiniteLowerBound() const;
        void setFiniteLowerBound(const BoolCollection & finiteLowerBound);

        /** Upper bound flag accessor */
        BoolCollection getFiniteUpperBound() const;
        void setFiniteUpperBound(const BoolCollection & finiteUpperBound);

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

      private:
        // Dimension of the interval
        UnsignedLong dimension_;

        // An n-D intervall is defined as the cartesian product of n 1D intervalls ]low_1, up_1]x...x]low_n,up_n]
        NumericalPoint lowerBound_;
        NumericalPoint upperBound_;

        // Flags that tell if the bounds are finite or not.
        // The bound is finite if the flag is true, else it is equal to -inf if the associated value is < 0, +inf else
        BoolPersistentCollection finiteLowerBound_;
        BoolPersistentCollection finiteUpperBound_;

      }; /* class Interval */

    } /* Namespace Type */
  } /* Namespace Base */
} /* Namespace OpenTURNS */

#endif /* OPENTURNS_INTERVAL_HXX */