/usr/include/openturns/Dirac.hxx is in libopenturns-dev 1.7-3.
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/**
* @brief The Dirac 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_DIRAC_HXX
#define OPENTURNS_DIRAC_HXX
#include "OTprivate.hxx"
#include "DiscreteDistribution.hxx"
BEGIN_NAMESPACE_OPENTURNS
/**
* @class Dirac
*
* The Dirac distribution.
*/
class OT_API Dirac
: public DiscreteDistribution
{
CLASSNAME;
public:
/** Default constructor */
Dirac();
/** Parameters constructor */
explicit Dirac(const NumericalScalar p);
/** Parameters constructor */
explicit Dirac(const NumericalPoint & point);
/** Comparison operator */
Bool operator ==(const Dirac & other) const;
/** String converter */
String __repr__() const;
String __str__(const String & offset = "") const;
/* Interface inherited from Distribution */
/** Virtual constructor */
virtual Dirac * clone() const;
/** Get one realization of the distribution */
NumericalPoint getRealization() const;
/** Get a sample of the distribution */
NumericalSample getSample(const UnsignedInteger size) const;
/** Get the PDF of the distribution */
using DiscreteDistribution::computePDF;
NumericalScalar computePDF(const NumericalPoint & point) const;
/** Get the CDF of the distribution */
using DiscreteDistribution::computeCDF;
NumericalScalar computeCDF(const NumericalPoint & point) const;
/** Get the quantile of the distribution */
NumericalPoint computeQuantile(const NumericalScalar prob,
const Bool tail = false) const;
/** Get the PDFGradient of the distribution */
using DiscreteDistribution::computePDFGradient;
NumericalPoint computePDFGradient(const NumericalPoint & point) const;
/** Get the CDFGradient of the distribution */
using DiscreteDistribution::computeCDFGradient;
NumericalPoint computeCDFGradient(const NumericalPoint & point) const;
/** Compute the characteristic function, i.e. phi(u) = E(exp(I*u*X)) */
NumericalComplex computeCharacteristicFunction(const NumericalScalar x) const;
NumericalComplex computeLogCharacteristicFunction(const NumericalScalar x) const;
/** Compute the generating function, i.e. psi(z) = E(z^X) */
NumericalComplex computeGeneratingFunction(const NumericalComplex & z) const;
NumericalComplex computeLogGeneratingFunction(const NumericalComplex & z) const;
/** Get the support of a discrete distribution that intersect a given interval */
using DistributionImplementation::getSupport;
NumericalSample getSupport(const Interval & interval) 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;
/** Parameters value and description accessor */
NumericalPointWithDescriptionCollection getParametersCollection() const;
using DiscreteDistribution::setParametersCollection;
void setParametersCollection(const NumericalPointCollection & parametersCollection);
/** Parameters value accessors */
void setParameter(const NumericalPoint & parameter);
NumericalPoint getParameter() const;
/** Parameters description accessor */
Description getParameterDescription() const;
/* Interface specific to Dirac */
/** Point accessor */
void setPoint(const NumericalPoint & point);
NumericalPoint getPoint() const;
/** Get the i-th marginal distribution */
Implementation getMarginal(const UnsignedInteger i) const;
/** Get the distribution of the marginal distribution corresponding to indices dimensions */
Implementation getMarginal(const Indices & indices) 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;
/** Compute the numerical range of the distribution given the parameters values */
void computeRange();
/** Get the quantile of the distribution */
NumericalScalar computeScalarQuantile(const NumericalScalar prob,
const Bool tail = false) const;
/** The support of the Dirac distribution */
NumericalPoint point_;
}; /* class Dirac */
END_NAMESPACE_OPENTURNS
#endif /* OPENTURNS_DIRAC_HXX */
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