//                                               -*- C++ -*-
/**
 *  @file  Arcsine.hxx
 *  @brief The Arcsine distribution
 *
 *  Copyright (C) 2005-2013 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 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/>.
 *
 *  @author schueller
 *  @date   2009-10-27 17:42:46 +0100 (mar. 27 oct. 2009)
 */
#ifndef OPENTURNS_ARCSINE_HXX
#define OPENTURNS_ARCSINE_HXX

#include "OTprivate.hxx"
#include "ContinuousDistribution.hxx"

BEGIN_NAMESPACE_OPENTURNS

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

  enum ParameterSet {AB, MUSIGMA};

  typedef Pointer<DistributionImplementation> Implementation;

  /** Default constructor */
  Arcsine();

  /** Parameters constructor */
  Arcsine(const NumericalScalar arg1,
          const NumericalScalar arg2,
          const ParameterSet set = AB);

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

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

  /* Interface inherited from Distribution */

  /** Virtual constructor */
  virtual Arcsine * 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;
  using ContinuousDistribution::computeComplementaryCDF;
  NumericalScalar computeComplementaryCDF(const NumericalPoint & point) const;

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

  /** Get the PDFGradient of the distribution */
  NumericalPoint computePDFGradient(const NumericalPoint & point) const;

  /** Get the CDFGradient of the distribution */
  NumericalPoint computeCDFGradient(const NumericalPoint & point) const;

  /** Get the quantile of the distribution */
  NumericalScalar computeScalarQuantile(const NumericalScalar prob,
                                        const Bool tail = false) const;

  /** Get the roughness, i.e. the L2-norm of the PDF */
  NumericalScalar getRoughness() 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 UnsignedLong n) const;

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

  /** Parameters value and description accessor */
  NumericalPointWithDescriptionCollection getParametersCollection() const;
  using ContinuousDistribution::setParametersCollection;
  void setParametersCollection(const NumericalPointCollection & parametersCollection);


  /* Interface specific to Arcsine */

  /** A accessor */
  void setA(const NumericalScalar a);
  NumericalScalar getA() const;

  /** B accessor */
  void setB(const NumericalScalar b);
  NumericalScalar getB() const;

  /** Mu accessor */
  void setMu(const NumericalScalar mu);
  NumericalScalar getMu() const;

  /** Sigma accessor */
  void setSigma(const NumericalScalar sigma);
  NumericalScalar getSigma() 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;

  /** set both parameters */
  void setAB(const NumericalScalar a, const NumericalScalar b);
  void setMuSigma(const NumericalScalar mu, const NumericalScalar sigma);

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

  /** The main parameter set of the distribution */
  NumericalScalar a_;
  NumericalScalar b_;

}; /* class Arcsine */


END_NAMESPACE_OPENTURNS

#endif /* OPENTURNS_ARCSINE_HXX */
