SundanceFeketeQuadQuadrature.hpp

Go to the documentation of this file.

/* @HEADER@ */
// ************************************************************************
// 
//                              Sundance
//                 Copyright (2005) Sandia Corporation
// 
// Copyright (year first published) Sandia Corporation.  Under the terms 
// of Contract DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government 
// retains certain rights in this software.
// 
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//  
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
//                                                                                 
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA                                                                                
// Questions? Contact Kevin Long (krlong@sandia.gov), 
// Sandia National Laboratories, Livermore, California, USA
// 
// ************************************************************************
/* @HEADER@ */

#ifndef SUNDANCE_FEKETEQUADQUADRATURE_H
#define SUNDANCE_FEKETEQUADQUADRATURE_H

#include "SundanceDefs.hpp"
#include "Teuchos_Array.hpp"

namespace Sundance
{
  using namespace Teuchos;
    /**
     * Get abscissas and weights for Gauss-Lobatto quadrature on quadrilateral
     * (Gauss-Lobatto points are Fekete points on tensor elements)
     */

    class FeketeQuadQuadrature
    {
    public:
      static void getPoints(int order, Array<double>& wgt,
                            Array<double>& x,
                            Array<double>& y);

      static void computeBasisCoeffs(const int order,
          Array<double>& basisCoeffs);

      static void evalPolynomials(int nPts, double x,
          double y, double* resultPtr);

      static bool test(int p);


    private:

      static double exact(int a, int b);

    };
  }


#endif