44 #ifndef STOKHOS_GRAMSCHMIDTBASIS_HPP 45 #define STOKHOS_GRAMSCHMIDTBASIS_HPP 47 #include "Teuchos_RCP.hpp" 48 #include "Teuchos_SerialDenseMatrix.hpp" 71 template <
typename ordinal_type,
typename value_type>
85 const Teuchos::Array< Teuchos::Array<value_type> >& points,
86 const Teuchos::Array<value_type>& weights,
109 virtual const Teuchos::Array<value_type>&
norm_squared()
const;
122 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
127 Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
139 const Teuchos::ArrayView<const value_type>& point,
140 Teuchos::Array<value_type>& basis_vals)
const;
143 virtual void print(std::ostream& os)
const;
146 virtual const std::string&
getName()
const;
167 Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> > basis;
170 Teuchos::Array<value_type> weights;
173 Teuchos::Array< Teuchos::Array<value_type> > basis_values;
188 Teuchos::Array<value_type> norms;
191 Teuchos::SerialDenseMatrix<ordinal_type, value_type> gs_mat;
194 mutable Teuchos::Array<value_type> basis_vals_tmp;
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 void evaluateBases(const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
Evaluate basis polynomials at given point point.
OrthogPolyBasis & operator=(const OrthogPolyBasis &b)
virtual ordinal_type dimension() const =0
Return dimension of basis.
Abstract base class for multivariate orthogonal polynomials.
Top-level namespace for Stokhos classes and functions.
virtual value_type evaluateZero(ordinal_type i) const =0
Evaluate basis polynomial i at zero.
Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure...
virtual const Teuchos::Array< value_type > & norm_squared() const =0
Return array storing norm-squared of each basis polynomial.
virtual void print(std::ostream &os) const =0
Print basis to stream os.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeLinearTripleProductTensor() const =0
Compute linear triple product tensor where k = 0,1.
virtual ordinal_type size() const =0
Return total size of basis.
virtual const std::string & getName() const =0
Return string name of basis.