Stokhos_DiscretizedStieltjesBasis.hpp

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#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