1 //                                               -*- C++ -*-
2 /**
3  *  @brief This is the interface class for orthogonal polynomial factories
4  *
5  *  Copyright 2005-2021 Airbus-EDF-IMACS-ONERA-Phimeca
6  *
7  *  This library is free software: you can redistribute it and/or modify
8  *  it under the terms of the GNU Lesser General Public License as published by
9  *  the Free Software Foundation, either version 3 of the License, or
10  *  (at your option) any later version.
11  *
12  *  This library is distributed in the hope that it will be useful,
13  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
14  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15  *  GNU Lesser General Public License for more details.
16  *
17  *  You should have received a copy of the GNU Lesser General Public License
18  *  along with this library.  If not, see <http://www.gnu.org/licenses/>.
19  *
20  */
21 #include "openturns/OrthogonalUniVariatePolynomialFamily.hxx"
22 #include "openturns/OSS.hxx"
23 #include "openturns/PersistentObjectFactory.hxx"
24 #include "openturns/HermiteFactory.hxx"
25 
26 BEGIN_NAMESPACE_OPENTURNS
27 
28 
29 
CLASSNAMEINIT(OrthogonalUniVariatePolynomialFamily)30 CLASSNAMEINIT(OrthogonalUniVariatePolynomialFamily)
31 
32 /* Default constructor */
33 OrthogonalUniVariatePolynomialFamily::OrthogonalUniVariatePolynomialFamily()
34   : TypedInterfaceObject<OrthogonalUniVariatePolynomialFactory>(new HermiteFactory)
35 {
36   // Nothing to do
37 }
38 
39 
40 /* Constructor from implementation */
OrthogonalUniVariatePolynomialFamily(const OrthogonalUniVariatePolynomialFactory & implementation)41 OrthogonalUniVariatePolynomialFamily::OrthogonalUniVariatePolynomialFamily(const OrthogonalUniVariatePolynomialFactory & implementation)
42   : TypedInterfaceObject<OrthogonalUniVariatePolynomialFactory>(implementation.clone())
43 {
44   // Nothing to do
45 }
46 
47 
48 /* The method to get the polynomial of any degree */
build(const UnsignedInteger degree) const49 OrthogonalUniVariatePolynomial OrthogonalUniVariatePolynomialFamily::build(const UnsignedInteger degree) const
50 {
51   return getImplementation()->build(degree);
52 }
53 
54 
55 /* Measure accessor */
getMeasure() const56 Distribution OrthogonalUniVariatePolynomialFamily::getMeasure() const
57 {
58   return getImplementation()->getMeasure();
59 }
60 
61 
62 /* Calculate the coefficients of recurrence a0, a1, a2 such that
63    Pn+1(x) = (a0 * x + a1) * Pn(x) + a2 * Pn-1(x) */
getRecurrenceCoefficients(const UnsignedInteger n) const64 OrthogonalUniVariatePolynomialFamily::Coefficients OrthogonalUniVariatePolynomialFamily::getRecurrenceCoefficients(const UnsignedInteger n) const
65 {
66   return getImplementation()->getRecurrenceCoefficients(n);
67 }
68 
69 
70 /* String converter */
__repr__() const71 String OrthogonalUniVariatePolynomialFamily::__repr__() const
72 {
73   return OSS() << "class=" << getClassName()
74          << " implementation=" << getImplementation()->__repr__();
75 }
76 
77 /* Roots of the polynomial of degree n */
getRoots(const UnsignedInteger n) const78 Point OrthogonalUniVariatePolynomialFamily::getRoots(const UnsignedInteger n) const
79 {
80   return getImplementation()->getRoots(n);
81 }
82 
83 /* Nodes and weights of the polynomial of degree n as the eigenvalues of the associated Jacobi matrix and the square
84    of the first component of the associated normalized eigenvectors */
getNodesAndWeights(const UnsignedInteger n,Point & weights) const85 Point OrthogonalUniVariatePolynomialFamily::getNodesAndWeights(const UnsignedInteger n,
86     Point & weights) const
87 {
88   return getImplementation()->getNodesAndWeights(n, weights);
89 }
90 
91 
92 END_NAMESPACE_OPENTURNS
93