SundanceFeketeTriangleQuadrature.hpp

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//                              Sundance
//                 Copyright (2005) Sandia Corporation
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#ifndef SUNDANCE_FEKETETRIANGLEQUADRATURE_H
#define SUNDANCE_FEKETETRIANGLEQUADRATURE_H

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

namespace Sundance
{

  using namespace Teuchos;

/**
 * Get abscissas and weights for Fekete point quadrature on triangles
 */

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

  static bool test(int p);

  static int maxOrder()
  {
    return 9;
  }

  static bool supportsOrder(int order);

  static void
      evalPKDpolynomials(int order, double x, double y, double* resultPtr);

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

private:

  static void permute(int m, const Array<double>& q,
      Array<Array<double> >& qPerm);

  static double exact(int a, int b, int c);

  static double fact(int x);

};
}

#endif