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//                                               -*- C++ -*-
/**
 *  @brief The Frechet distribution
 *
 *  Copyright 2005-2015 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_FRECHET_HXX
#define OPENTURNS_FRECHET_HXX

#include "ContinuousDistribution.hxx"

BEGIN_NAMESPACE_OPENTURNS

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

  /** Parameters constructor */
  explicit Frechet(const NumericalScalar alpha = 1.0,
                   const NumericalScalar beta = 1.0,
                   const NumericalScalar gamma = 0.0);

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

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


  /* Interface inherited from Distribution */

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

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

  /** Get the DDF of the distribution */
  using ContinuousDistribution::computeDDF;
  NumericalPoint computeDDF(const NumericalPoint & point) const;

  /** Get the PDF of the distribution */
  using ContinuousDistribution::computePDF;
  NumericalScalar computePDF(const NumericalPoint & point) const;
  using ContinuousDistribution::computeLogPDF;
  NumericalScalar computeLogPDF(const NumericalPoint & point) const;

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

  /** Get the gradient of the PDF w.r.t the parameters of the distribution */
  using ContinuousDistribution::computePDFGradient;
  NumericalPoint computePDFGradient(const NumericalPoint & point) const;

  /** Get the gradient of the CDF w.r.t the parameters of the distribution */
  using ContinuousDistribution::computeCDFGradient;
  NumericalPoint computeCDFGradient(const NumericalPoint & point) const;

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

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

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

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

  /** Get the standard representative in the parametric family, associated with the standard moments */
  Implementation getStandardRepresentative() const;

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

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

  /* Interface specific to Frechet */

  /** 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);

  /** Alpha accessor */
  void setAlpha(const NumericalScalar alpha);
  NumericalScalar getAlpha() const;

  /** Beta accessor */
  void setBeta(const NumericalScalar beta);
  NumericalScalar getBeta() const;

  /** Gamma accessor */
  void setGamma(const NumericalScalar gamma);
  NumericalScalar getGamma() const;

protected:


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

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

  /** Get the quantile of the distribution, i.e the value Xp such that P(X <= Xp) = prob */
  NumericalScalar computeScalarQuantile(const NumericalScalar prob,
                                        const Bool tail = false) const;

  /** Compute the numerical range of the distribution given the parameters values */
  void computeRange();

  /** The main parameter set of the distribution */
  NumericalScalar alpha_;
  NumericalScalar beta_;
  NumericalScalar gamma_;

}; /* class Frechet */


END_NAMESPACE_OPENTURNS

#endif /* OPENTURNS_FRECHET_HXX */