/usr/include/openturns/GramSchmidtAlgorithm.hxx is in libopenturns-dev 0.15-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 | // -*- C++ -*-
/**
* @file GramSchmidtAlgorithm.hxx
* @brief Implement the modified Gram Schmidt algorithm to compute the coefficients of
* tthe 3 terms recurrence relation of an orthonormal polynomial family
*
* (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_GRAMSCHMIDTALGORITHM_HXX
#define OPENTURNS_GRAMSCHMIDTALGORITHM_HXX
#include "OrthonormalizationAlgorithmImplementation.hxx"
#include "OrthogonalUniVariatePolynomialFamily.hxx"
#include "UniVariatePolynomial.hxx"
#include "Collection.hxx"
namespace OpenTURNS
{
namespace Uncertainty
{
namespace Algorithm
{
/**
* @class GramSchmidtAlgorithm
*
* OrthogonalUniVariatePolynomialStandardDistribution polynomial factory
*/
class GramSchmidtAlgorithm
: public OrthonormalizationAlgorithmImplementation
{
CLASSNAME;
public:
typedef Base::Common::StorageManager StorageManager;
typedef Base::Type::Collection<NumericalScalar> NumericalScalarCollection;
typedef Base::Type::Collection<Coefficients> CoefficientsCollection;
typedef Base::Func::UniVariatePolynomial UniVariatePolynomial;
typedef OrthonormalizationAlgorithmImplementation::Coefficients Coefficients;
/** Default constructor */
GramSchmidtAlgorithm();
/** Parameter constructor */
GramSchmidtAlgorithm(const Distribution & measure);
/** Parameter constructor */
GramSchmidtAlgorithm(const Distribution & measure,
const OrthogonalUniVariatePolynomialFamily & referenceFamily);
/** Virtual constructor */
GramSchmidtAlgorithm * clone() const;
/** Calculate the coefficients of recurrence a0, a1, a2 such that
Pn+1(x) = (a0 * x + a1) * Pn(x) + a2 * Pn-1(x) */
Coefficients getRecurrenceCoefficients(const UnsignedLong n) const;
/** Reference univariate orthogonal polynomial family accessor */
void setReferenceFamily(const OrthogonalUniVariatePolynomialFamily & family);
OrthogonalUniVariatePolynomialFamily getReferenceFamily() const;
/** String converter */
String __repr__() const;
/** Method save() stores the object through the StorageManager */
virtual void save(StorageManager::Advocate & adv) const;
/** Method load() reloads the object from the StorageManager */
virtual void load(StorageManager::Advocate & adv);
private:
/** Return the order-th raw moment of the underlying measure */
NumericalScalar getStandardMoment(const UnsignedLong order) const;
/** Build the coefficients of the kth orthonormal polynomial */
UniVariatePolynomial buildPolynomial(const UnsignedLong k) const;
/** Compute the dot product between two general polynomials according to the measure */
NumericalScalar dotProduct(const UniVariatePolynomial & p1,
const UniVariatePolynomial & p2) const;
/** Cache to store the raw moments */
mutable NumericalScalarCollection standardMoments_;
/** Cache to store the coefficients of the orthonormal polynomials */
mutable CoefficientsCollection coefficientsCache_;
/** Starting family of polynomials */
OrthogonalUniVariatePolynomialFamily referenceFamily_;
/** Flag to tell if we use the canonical basis */
Bool useCanonicalBasis_;
} ; /* class GramSchmidtAlgorithm */
} /* namespace Algorithm */
} /* namespace Uncertainty */
} /* namespace OpenTURNS */
#endif /* OPENTURNS_GRAMSCHMIDTALGORITHM_HXX */
|