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Stokhos_GramSchmidtBasis.hpp
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43
44#ifndef STOKHOS_GRAMSCHMIDTBASIS_HPP
45#define STOKHOS_GRAMSCHMIDTBASIS_HPP
46
47#include "Teuchos_RCP.hpp"
48#include "Teuchos_SerialDenseMatrix.hpp"
49
51
52namespace Stokhos {
53
71 template <typename ordinal_type, typename value_type>
73 public OrthogPolyBasis<ordinal_type,value_type> {
74 public:
75
77
84 const Teuchos::RCP<const OrthogPolyBasis<ordinal_type,value_type> >& basis,
85 const Teuchos::Array< Teuchos::Array<value_type> >& points,
86 const Teuchos::Array<value_type>& weights,
87 const value_type& sparse_tol = 1.0e-15);
88
90 virtual ~GramSchmidtBasis();
91
93
94
96 ordinal_type order() const;
97
99 ordinal_type dimension() const;
100
102 virtual ordinal_type size() const;
103
105
109 virtual const Teuchos::Array<value_type>& norm_squared() const;
110
112 virtual const value_type& norm_squared(ordinal_type i) const;
113
115
121 virtual
122 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
124
126 virtual
127 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
129
131 virtual value_type evaluateZero(ordinal_type i) const;
132
134
138 virtual void evaluateBases(
139 const Teuchos::ArrayView<const value_type>& point,
140 Teuchos::Array<value_type>& basis_vals) const;
141
143 virtual void print(std::ostream& os) const;
144
146 virtual const std::string& getName() const;
147
149
151 void transformCoeffs(const value_type *in, value_type *out) const;
152
153 private:
154
155 // Prohibit copying
157
158 // Prohibit Assignment
160
161 protected:
162
164 std::string name;
165
167 Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> > basis;
168
170 Teuchos::Array<value_type> weights;
171
173 Teuchos::Array< Teuchos::Array<value_type> > basis_values;
174
176 value_type sparse_tol;
177
179 ordinal_type p;
180
182 ordinal_type d;
183
185 ordinal_type sz;
186
188 Teuchos::Array<value_type> norms;
189
191 Teuchos::SerialDenseMatrix<ordinal_type, value_type> gs_mat;
192
194 mutable Teuchos::Array<value_type> basis_vals_tmp;
195
196 }; // class GramSchmidtBasis
197
198} // Namespace Stokhos
199
200// Include template definitions
202
203#endif
Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure.
Abstract base class for multivariate orthogonal polynomials.
OrthogPolyBasis & operator=(const OrthogPolyBasis &b)
virtual value_type evaluateZero(ordinal_type i) const =0
Evaluate basis polynomial i at zero.
virtual const Teuchos::Array< value_type > & norm_squared() const =0
Return array storing norm-squared of each basis polynomial.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensor() const =0
Compute triple product tensor.
virtual ordinal_type order() const =0
Return order of basis.
virtual ordinal_type size() const =0
Return total size of basis.
virtual ordinal_type dimension() const =0
Return dimension of basis.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeLinearTripleProductTensor() const =0
Compute linear triple product tensor where k = 0,1.
virtual const std::string & getName() const =0
Return string name of basis.
virtual void evaluateBases(const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
Evaluate basis polynomials at given point point.
virtual void print(std::ostream &os) const =0
Print basis to stream os.
Top-level namespace for Stokhos classes and functions.