/usr/include/openturns/Trapezoidal.hxx is in libopenturns-dev 0.15-2.
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/**
* @file Trapezoidal.hxx
* @brief The Trapezoidal distribution
*
* (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: 2009-05-28 14:47:53 +0200 (Thu, 28 May 2009) $
* Id: $Id: Trapezoidal.hxx 1262 2009-05-28 12:47:53Z schueller $
*/
#ifndef OPENTURNS_TRAPEZOIDAL_HXX
#define OPENTURNS_TRAPEZOIDAL_HXX
#include "OTprivate.hxx"
#include "NonEllipticalDistribution.hxx"
namespace OpenTURNS {
namespace Uncertainty {
namespace Distribution {
/**
* @class Trapezoidal
*
* The Trapezoidal distribution.
*/
class Trapezoidal
: public Model::NonEllipticalDistribution
{
CLASSNAME;
public:
typedef Base::Common::InvalidArgumentException InvalidArgumentException;
typedef Model::NonEllipticalDistribution NonEllipticalDistribution; // required by SWIG
typedef NonEllipticalDistribution::NumericalPoint NumericalPoint;
typedef NonEllipticalDistribution::NumericalSample NumericalSample;
typedef NonEllipticalDistribution::CovarianceMatrix CovarianceMatrix;
typedef NonEllipticalDistribution::NumericalPointWithDescriptionCollection NumericalPointWithDescriptionCollection;
typedef NonEllipticalDistribution::NotDefinedException NotDefinedException;
typedef NonEllipticalDistribution::StorageManager StorageManager;
/** Default constructor */
Trapezoidal();
/** Parameters constructor */
Trapezoidal(const NumericalScalar a,
const NumericalScalar b,
const NumericalScalar c,
const NumericalScalar d);
/** Comparison operator */
Bool operator ==(const Trapezoidal & other) const;
/** String converter */
String __repr__() const;
String __str__(const String & offset = "") const;
/* Interface inherited from Distribution */
/** Virtual constructor */
virtual Trapezoidal * clone() const;
/** Get one realization of the distribution */
NumericalPoint getRealization() const;
/** Get the DDF of the distribution, i.e. the gradient of its PDF w.r.t. point */
using NonEllipticalDistribution::computeDDF;
NumericalPoint computeDDF(const NumericalPoint & point) const;
/** Get the PDF of the distribution */
using NonEllipticalDistribution::computePDF;
NumericalScalar computePDF(const NumericalPoint & point) const;
/** Get the CDF of the distribution, i.e. P(X <= point) = CDF(point) */
using NonEllipticalDistribution::computeCDF;
NumericalScalar computeCDF(const NumericalPoint & point, const Bool tail = false) const;
/** Get the characteristic function of the distribution, i.e. phi(u) = E(exp(I*u*X)) */
NumericalComplex computeCharacteristicFunction(const NumericalScalar x,
const Bool logScale = false) const;
/** Get the gradient of the PDF w.r.t the parameters of the distribution */
NumericalPoint computePDFGradient(const NumericalPoint & point) const;
/** Get the gradient of the CDF w.r.t the parameters of the distribution */
NumericalPoint computeCDFGradient(const NumericalPoint & point) 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 NumericalScalar precision = DefaultQuantileEpsilon) 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 /*throw(NotDefinedException)*/;
/** Get the skewness of the distribution */
NumericalPoint getSkewness() const /*throw(NotDefinedException)*/;
/** Get the kurtosis of the distribution */
NumericalPoint getKurtosis() const /*throw(NotDefinedException)*/;
/** Parameters value and description accessor */
NumericalPointWithDescriptionCollection getParametersCollection() const;
using NonEllipticalDistribution::setParametersCollection;
void setParametersCollection(const NumericalPointCollection & parametersCollection);
/* Interface specific to Trapezoidal */
/** A accessor */
void setA(const NumericalScalar a);
NumericalScalar getA() const;
/** B accessor */
void setB(const NumericalScalar b);
NumericalScalar getB() const;
/** C accessor */
void setC(const NumericalScalar c);
NumericalScalar getC() const;
/** D accessor */
void setD(const NumericalScalar d);
NumericalScalar getD() const;
/** Method save() stores the object through the StorageManager */
void save(StorageManager::Advocate & adv) const;
/** Method load() reloads the object from the StorageManager */
void load(StorageManager::Advocate & adv);
protected:
private:
/** Compute the mean of the distribution */
void computeMean() const;
/** Compute the covariance of the distribution */
void computeCovariance() const;
/** Compute the numerical range of the distribution given the parameters values */
void computeRange();
/** Update attributes */
void update();
/** Sigma accessor */
NumericalScalar getSigma() const;
/** The main parameter set of the distribution */
NumericalScalar a_;
NumericalScalar b_;
NumericalScalar c_;
NumericalScalar d_;
NumericalScalar h_;
}; /* class Trapezoidal */
} /* namespace Distribution */
} /* namespace Uncertainty */
} /* namespace OpenTURNS */
#endif /* OPENTURNS_TRAPEZOIDAL_HXX */
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