/usr/include/openturns/OrthogonalUniVariatePolynomialFactory.hxx is in libopenturns-dev 0.15-2.
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/**
* @file OrthogonalUniVariatePolynomialFactory.hxx
* @brief This an abstract class for 1D polynomial factories
*
* (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: dutka $
* @date: $LastChangedDate: 2008-05-21 17:44:02 +0200 (Wed, 21 May 2008) $
* Id: $Id: Object.hxx 818 2008-05-21 15:44:02Z dutka $
*/
#ifndef OPENTURNS_ORTHOGONALUNIVARIATEPOLYNOMIALFACTORY_HXX
#define OPENTURNS_ORTHOGONALUNIVARIATEPOLYNOMIALFACTORY_HXX
#include "PersistentObject.hxx"
#include "NumericalPoint.hxx"
#include "PersistentCollection.hxx"
#include "OrthogonalUniVariatePolynomial.hxx"
#include "Distribution.hxx"
namespace OpenTURNS
{
namespace Uncertainty
{
namespace Algorithm
{
/**
* @class OrthogonalUniVariatePolynomialFactory
*
* This an abstract class for 1D polynomial factories
*/
class OrthogonalUniVariatePolynomialFactory
: public Base::Common::PersistentObject
{
CLASSNAME;
public:
typedef Base::Common::StorageManager StorageManager;
typedef Base::Type::NumericalPoint NumericalPoint;
typedef Model::Distribution Distribution;
typedef OrthogonalUniVariatePolynomial::Coefficients Coefficients;
typedef OrthogonalUniVariatePolynomial::CoefficientsCollection CoefficientsCollection;
typedef OrthogonalUniVariatePolynomial::CoefficientsPersistentCollection CoefficientsPersistentCollection;
/** Constructor */
OrthogonalUniVariatePolynomialFactory(const Distribution & measure);
/** Virtual constructor */
virtual OrthogonalUniVariatePolynomialFactory * clone() const;
/** String converter */
virtual String __repr__() const;
/** The method to get the polynomial of any degree. */
OrthogonalUniVariatePolynomial build(const UnsignedLong degree) const;
/** Build the 3 terms recurrence coefficients up to the needed degree */
CoefficientsCollection buildRecurrenceCoefficientsCollection(const UnsignedLong degree) const;
/** Build the coefficients of the polynomial of the needed degree */
Coefficients buildCoefficients(const UnsignedLong degree) const;
/** Roots of the polynomial of degree n as the eigenvalues of the associated matrix */
NumericalPoint getRoots(const UnsignedLong n) const;
/** Nodes and weights of the polynomial of degree n as the eigenvalues of the associated matrix, to build quadrature rules */
NumericalPoint getNodesAndWeights(const UnsignedLong n,
NumericalPoint & weights) const;
/** Measure accessor */
Distribution getMeasure() 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);
/** Calculate the coefficients of recurrence a0, a1, a2 such that
Pn+1(x) = (a0 * x + a1) * Pn(x) + a2 * Pn-1(x) */
virtual Coefficients getRecurrenceCoefficients(const UnsignedLong n) const;
protected:
friend class Base::Common::Factory<OrthogonalUniVariatePolynomialFactory>;
/** Default constructor */
OrthogonalUniVariatePolynomialFactory();
/** Cache initialization */
virtual void initializeCache();
/** The distribution of the particular Orthonormal polynomial */
Distribution measure_;
/** A cache to save already computed coefficients */
mutable CoefficientsPersistentCollection coefficientsCache_;
/** A cache to save already computed recurrence coefficients */
mutable CoefficientsPersistentCollection recurrenceCoefficientsCache_;
} ; /* class OrthogonalUniVariatePolynomialFactory */
} /* namespace Algorithm */
} /* namespace Uncertainty */
} /* namespace OpenTURNS */
#endif /* OPENTURNS_ORTHOGONALUNIVARIATEPOLYNOMIALFACTORY_HXX */
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