Stokhos_DiscretizedStieltjesBasis.hpp

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// @HEADER
// *****************************************************************************
//                           Stokhos Package
//
// Copyright 2009 NTESS and the Stokhos contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER

#ifndef STOKHOS_DISCRETIZEDSTIELTJESBASIS_HPP
#define STOKHOS_DISCRETIZEDSTIELTJESBASIS_HPP

#include "Stokhos_RecurrenceBasis.hpp"

namespace Stokhos {


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

    DiscretizedStieltjesBasis(
      const std::string& name, const ordinal_type& p, 
      value_type (*weightFn)(const value_type&),
      const value_type& leftEndPt,
      const value_type& rightEndPt,
      bool normalize, 
      GrowthPolicy growth = SLOW_GROWTH);

    ~DiscretizedStieltjesBasis();
    
    value_type eval_inner_product(const ordinal_type& order1, 
          const ordinal_type& order2) 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;


    value_type evaluateRecurrence(const value_type& point, 
          ordinal_type order, 
          const Teuchos::Array<value_type>& alpha,
          const Teuchos::Array<value_type>& beta) const;

    value_type evaluateWeight(const value_type& x) const;

    value_type 
    expectedValue_tJ_nsquared(const ordinal_type& order, 
            const Teuchos::Array<value_type>& alpha,
            const Teuchos::Array<value_type>& beta) const;

    value_type 
    expectedValue_J_nsquared(const ordinal_type& order, 
           const Teuchos::Array<value_type>& alpha,
           const Teuchos::Array<value_type>& beta) const;

  protected:

    DiscretizedStieltjesBasis(const ordinal_type& p, 
            const DiscretizedStieltjesBasis& basis);
    
  private:

    // Prohibit copying
    DiscretizedStieltjesBasis(const DiscretizedStieltjesBasis&);

    // Prohibit Assignment
    DiscretizedStieltjesBasis& operator=(const DiscretizedStieltjesBasis& b);
    
  protected:

    mutable value_type scaleFactor;

    const value_type leftEndPt_;

    const value_type rightEndPt_;

    value_type (*weightFn_)(const value_type&);

    Teuchos::Array<value_type> quad_points;

    Teuchos::Array<value_type> quad_weights;

    Teuchos::Array<Teuchos::Array< value_type > > quad_values;
    
  }; // class DiscretizedStieltjesBasis

} // Namespace Stokhos

// Include template definitions

#include "Stokhos_DiscretizedStieltjesBasisImp.hpp"
#endif