OrthogonalPolynomial.h

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#ifndef ORTHOGONALPOLYNOMIAL_H_
#define ORTHOGONALPOLYNOMIAL_H_
 
#include <functional>
#include <string>
 
#include "MUQ/Approximation/Polynomials/IndexedScalarBasis.h"
 
namespace muq {
  namespace Approximation {
 
    class GaussQuadrature;
 
    class OrthogonalPolynomial : public IndexedScalarBasis {
 
      friend class GaussQuadrature;
 
    public:
 
      OrthogonalPolynomial() : IndexedScalarBasis(){};
 
      static std::shared_ptr<OrthogonalPolynomial> Construct(std::string const& polyName);
 
      virtual ~OrthogonalPolynomial() = default;
 
 
      virtual double BasisEvaluate(int const order, double const x) const override;
 
      virtual Eigen::VectorXd EvaluateAllTerms(int    const maxOrder,
                                               double const x) const override;
 
      virtual double Normalization(unsigned int polyOrder) const;
 
 
    private:
 
 
      virtual double ak(unsigned int k) const = 0;
 
 
      virtual double bk(unsigned int k) const = 0;
 
 
      virtual double ck(unsigned int k) const = 0;
 
 
      virtual double phi0(double x) const = 0;
 
 
      virtual double phi1(double x) const = 0;
    };
  } // namespace Approximation
} // namespace muq
 
 
#endif