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