Stokhos_StieltjesBasis.hpp

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#ifndef STOKHOS_STIELTJESBASIS_HPP
#define STOKHOS_STIELTJESBASIS_HPP

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

#include "Stokhos_RecurrenceBasis.hpp"
#include "Stokhos_Quadrature.hpp"

namespace Stokhos {

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


    StieltjesBasis(
      ordinal_type p,
      const Teuchos::RCP<const func_type>& func,
      const Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> >& quad,
      bool use_pce_quad_points,
      bool normalize = false);

    ~StieltjesBasis();



    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;


  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 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;

    StieltjesBasis(ordinal_type p, const StieltjesBasis& basis);

  private:

    // Prohibit copying
    StieltjesBasis(const StieltjesBasis&);

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

  protected:

    Teuchos::RCP<const func_type> func;

    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> func_vals;

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

    bool use_pce_quad_points;

  }; // class StieltjesBasis

} // Namespace Stokhos

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

#endif