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//                                               -*- C++ -*-
/**
 *  @brief The NonCentralChiSquare distribution
 *
 *  Copyright 2005-2017 Airbus-EDF-IMACS-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 3 of the License, or
 *  (at your option) any later version.
 *
 *  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
 *  along with this library.  If not, see <http://www.gnu.org/licenses/>.
 *
 */
#ifndef OPENTURNS_NONCENTRALCHISQUARE_HXX
#define OPENTURNS_NONCENTRALCHISQUARE_HXX

#include "openturns/ContinuousDistribution.hxx"

BEGIN_NAMESPACE_OPENTURNS




/**
 * @class NonCentralChiSquare
 *
 * The NonCentralChiSquare distribution.
 */
class OT_API NonCentralChiSquare
  : public ContinuousDistribution
{
  CLASSNAME;
public:

  /** Default constructor */
  /* The default values correspond to a classical ChiSquare distribution with 5 degrees of freedom */
  NonCentralChiSquare(const Scalar nu = 5.0,
                      const Scalar lambda = 0.0);

  /** Comparison operator */
  Bool operator ==(const NonCentralChiSquare & other) const;
protected:
  Bool equals(const DistributionImplementation & other) const;
public:

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

  String __str__(const String & offset = "") const;


  /* Interface inherited from Distribution */

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

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

  /** Get the PDF of the distribution */
  using ContinuousDistribution::computePDF;
  Scalar computePDF(const Point & point) const;

  /** Get the CDF of the distribution */
  using ContinuousDistribution::computeCDF;
  Scalar computeCDF(const Point & point) const;

  /** Get the characteristic function of the distribution, i.e. phi(u) = E(exp(I*u*X)) */
  Complex computeCharacteristicFunction(const Scalar x) const;
  Complex computeLogCharacteristicFunction(const Scalar x) const;

  /** Get the PDFGradient of the distribution */
  using ContinuousDistribution::computePDFGradient;
  Point computePDFGradient(const Point & point) const;

  /** Get the CDFGradient of the distribution */
  using ContinuousDistribution::computeCDFGradient;
  Point computeCDFGradient(const Point & point) const;

  /** Get the standard deviation of the distribution */
  Point getStandardDeviation() const;

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

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

  /** Get the raw moments of the standardized distribution */
  Point getStandardMoment(const UnsignedInteger n) const;

  /** Parameters value accessors */
  void setParameter(const Point & parameter);
  Point getParameter() const;

  /** Parameters description accessor */
  Description getParameterDescription() const;

  /** Nu accessor */
  void setNu(const Scalar nu);
  void setNuLambda(const Scalar nu,
                   const Scalar lambda);
  Scalar getNu() const;

  /** Lambda accessor */
  void setLambda(const Scalar lambda);
  Scalar getLambda() const;

  /** Maximum iterations accessor */
  void setMaximumIteration(const UnsignedInteger maximumIteration);
  UnsignedInteger getMaximumIteration() const;

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

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


protected:


private:

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

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

  /** Number of degrees of freedom */
  Scalar nu_;

  /** Non-centrality parameter */
  Scalar lambda_;

  /** The maximum iterations for the PDF and CDF computations */
  UnsignedInteger maximumIteration_;

}; /* class NonCentralChiSquare */


END_NAMESPACE_OPENTURNS

#endif /* OPENTURNS_NONCENTRALCHISQUARE_HXX */