Stokhos_StieltjesPCEBasis.hpp

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#ifndef STOKHOS_STIELTJESPCEBASIS_HPP
#define STOKHOS_STIELTJESPCEBASIS_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"

#include "Stokhos_RecurrenceBasis.hpp"
#include "Stokhos_OrthogPolyApprox.hpp"
#include "Stokhos_Quadrature.hpp"
#include "Stokhos_Sparse3Tensor.hpp"

#include "Teuchos_SerialDenseMatrix.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type>
  class StieltjesPCEBasis : 
    public RecurrenceBasis<ordinal_type, value_type> {
  public:


    StieltjesPCEBasis(
      ordinal_type p,
      const Teuchos::RCP<const Stokhos::OrthogPolyApprox<ordinal_type, value_type> >& pce,
      const Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> >& quad,
      bool use_pce_quad_points,
      bool normalize = false,
      bool project_integrals = false,
      const Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk = Teuchos::null);

    ~StieltjesPCEBasis();



    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;

    virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> > cloneWithOrder(ordinal_type p) const;


    void transformCoeffsFromStieltjes(const value_type *in, 
              value_type *out) const;

  protected:



    virtual bool
    computeRecurrenceCoefficients(ordinal_type n,
          Teuchos::Array<value_type>& alpha,
          Teuchos::Array<value_type>& beta,
          Teuchos::Array<value_type>& delta,
          Teuchos::Array<value_type>& gamma) const;

    virtual void setup();


    void stieltjes(ordinal_type nstart,
       ordinal_type nfinish,
       const Teuchos::Array<value_type>& weights,
       const Teuchos::Array<value_type>& points,
       Teuchos::Array<value_type>& a,
       Teuchos::Array<value_type>& b,
       Teuchos::Array<value_type>& nrm,
       Teuchos::Array< Teuchos::Array<value_type> >& phi_vals) const;

    void integrateBasisSquared(
      ordinal_type k, 
      const Teuchos::Array<value_type>& a,
      const Teuchos::Array<value_type>& b,
      const Teuchos::Array<value_type>& weights,
      const Teuchos::Array<value_type>& points,
      Teuchos::Array< Teuchos::Array<value_type> >& phi_vals,
      value_type& val1, value_type& val2) const;

    void integrateBasisSquaredProj(
      ordinal_type k, 
      const Teuchos::Array<value_type>& a,
      const Teuchos::Array<value_type>& b,
      const Teuchos::Array<value_type>& weights,
      const Teuchos::Array<value_type>& points,
      Teuchos::Array< Teuchos::Array<value_type> >& phi_vals,
      value_type& val1, value_type& val2) const;
    
    void evaluateRecurrence(ordinal_type k,
          const Teuchos::Array<value_type>& a,
          const Teuchos::Array<value_type>& b,
          const Teuchos::Array<value_type>& points,
          Teuchos::Array< Teuchos::Array<value_type> >& values) const;

    StieltjesPCEBasis(ordinal_type p, const StieltjesPCEBasis& basis);

  private:

    // Prohibit copying
    StieltjesPCEBasis(const StieltjesPCEBasis&);

    // Prohibit Assignment
    StieltjesPCEBasis& operator=(const StieltjesPCEBasis& b);

  protected:

    Teuchos::RCP<const Stokhos::OrthogPolyApprox<ordinal_type, value_type> > pce;

    Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> > quad;

    const Teuchos::Array<value_type>& pce_weights;

    const Teuchos::Array< Teuchos::Array<value_type> >& basis_values;

    mutable Teuchos::Array<value_type> pce_vals;

    mutable Teuchos::Array< Teuchos::Array<value_type> > phi_vals;

    bool use_pce_quad_points;

    Teuchos::SerialDenseMatrix<ordinal_type, value_type> fromStieltjesMat;

    bool project_integrals;

    Teuchos::RCP<const Stokhos::OrthogPolyBasis<ordinal_type, value_type> > basis;

    typedef Stokhos::Sparse3Tensor<ordinal_type, value_type> Cijk_type;

    Teuchos::RCP<const Cijk_type> Cijk;

    mutable Teuchos::Array<value_type> phi_pce_coeffs;

  }; // class StieltjesPCEBasis

} // Namespace Stokhos

// Include template definitions
#include "Stokhos_StieltjesPCEBasisImp.hpp"

#endif