Stokhos_HouseTriDiagPCEBasis.hpp

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#ifndef STOKHOS_HOUSETRIDIAGPCEBASIS_HPP
#define STOKHOS_HOUSETRIDIAGPCEBASIS_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_SerialDenseVector.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_LAPACK.hpp"

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

namespace Stokhos {

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


    HouseTriDiagPCEBasis(
      ordinal_type p,
      const Stokhos::OrthogPolyApprox<ordinal_type, value_type>& pce,
      const Stokhos::Sparse3Tensor<ordinal_type, value_type>& Cijk,
      bool limit_integration_order = false);

    ~HouseTriDiagPCEBasis();



    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;


    value_type getNewCoeffs(ordinal_type i) const;

    void transformCoeffsFromHouse(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;


  private:

    // Prohibit copying
    HouseTriDiagPCEBasis(const HouseTriDiagPCEBasis&);

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

    HouseTriDiagPCEBasis(ordinal_type p, const HouseTriDiagPCEBasis& basis);

  protected:

    typedef Teuchos::SerialDenseMatrix<ordinal_type,value_type> matrix_type;
    typedef Teuchos::SerialDenseVector<ordinal_type,value_type> vector_type;

    Teuchos::LAPACK<ordinal_type,value_type> lapack;

    Teuchos::BLAS<ordinal_type,value_type> blas;

    bool limit_integration_order;

    ordinal_type pce_sz;

    Teuchos::Array<value_type> pce_norms;

    Teuchos::Array<value_type> a;

    Teuchos::Array<value_type> b;

    matrix_type basis_vecs;

    vector_type new_pce;

  }; // class HouseTriDiagPCEBasis

} // Namespace Stokhos

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

#endif