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Stokhos_GaussPattersonLegendreBasis.hpp
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43
44#ifndef STOKHOS_GAUSS_PATTERSON_LEGENDRE_BASIS_HPP
45#define STOKHOS_GAUSS_PATTERSON_LEGENDRE_BASIS_HPP
46
48
49namespace Stokhos {
50
52
56 template <typename ordinal_type, typename value_type>
58 public LegendreBasis<ordinal_type, value_type> {
59 public:
60
62
66 GaussPattersonLegendreBasis(ordinal_type p, bool normalize = false,
67 bool isotropic = false);
68
71
73
74
84 virtual void
85 getQuadPoints(ordinal_type quad_order,
86 Teuchos::Array<value_type>& points,
87 Teuchos::Array<value_type>& weights,
88 Teuchos::Array< Teuchos::Array<value_type> >& values) const;
89
94 virtual ordinal_type quadDegreeOfExactness(ordinal_type n) const;
95
106 virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> > cloneWithOrder(ordinal_type p) const;
107
109 virtual ordinal_type coefficientGrowth(ordinal_type n) const;
110
112 virtual ordinal_type pointGrowth(ordinal_type n) const;
113
115
116 protected:
117
119 GaussPattersonLegendreBasis(ordinal_type p,
120 const GaussPattersonLegendreBasis& basis);
121
122 private:
123
124 // Prohibit copying
126
127 // Prohibit Assignment
129
130 protected:
131
134
135 }; // class GaussPattersonLegendreBasis
136
137} // Namespace Stokhos
138
139// Include template definitions
141
142#endif
Legendre polynomial basis using Gauss-Patterson quadrature points.
virtual void getQuadPoints(ordinal_type quad_order, Teuchos::Array< value_type > &points, Teuchos::Array< value_type > &weights, Teuchos::Array< Teuchos::Array< value_type > > &values) const
Compute quadrature points, weights, and values of basis polynomials at given set of points points.
GaussPattersonLegendreBasis(const GaussPattersonLegendreBasis &)
bool isotropic
Flag determining if expansion is iostropic (same basis in every dim)
GaussPattersonLegendreBasis(ordinal_type p, bool normalize=false, bool isotropic=false)
Constructor.
virtual ordinal_type pointGrowth(ordinal_type n) const
Evaluate point growth rule for Smolyak-type bases.
GaussPattersonLegendreBasis & operator=(const GaussPattersonLegendreBasis &b)
virtual Teuchos::RCP< OneDOrthogPolyBasis< ordinal_type, value_type > > cloneWithOrder(ordinal_type p) const
Clone this object with the option of building a higher order basis.
virtual ordinal_type coefficientGrowth(ordinal_type n) const
Evaluate coefficient growth rule for Smolyak-type bases.
virtual ordinal_type quadDegreeOfExactness(ordinal_type n) const
Legendre polynomial basis.
ordinal_type p
Order of basis.
Top-level namespace for Stokhos classes and functions.