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// ************************************************************************
//
// Intrepid Package
// Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// 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 Pavel Bochev (pbboche@sandia.gov) or
// Denis Ridzal (dridzal@sandia.gov).
//
// ************************************************************************
// @HEADER
/** \file Intrepid_CubatureGenSparse.hpp
\brief Header file for the Intrepid::CubatureGenSparse class.
\author Created by P. Bochev, D. Ridzal, and M. Keegan.
*/
#ifndef INTREPID_CUBATURE_GEN_SPARSE_HPP
#define INTREPID_CUBATURE_GEN_SPARSE_HPP
#include "Intrepid_ConfigDefs.hpp"
#include "Intrepid_Cubature.hpp"
#include "Intrepid_CubatureDirectLineGauss.hpp"
#include "Intrepid_CubatureSparseHelper.hpp"
#include "Teuchos_TestForException.hpp"
/** \def INTREPID_CUBATURE_SPARSE2D_GAUSS_MAX
\brief The maximum degree of the polynomial that can be integrated exactly by
a generalized sparse rule of the Gauss(-Legendre) type in 2D.
*/
#define INTREPID_CUBATURE_GENSPARSE_GAUSS_MAX 17
namespace Intrepid{
template<class Scalar, int dimension_, class ArrayPoint=FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class CubatureGenSparse : public Intrepid::Cubature<Scalar,ArrayPoint,ArrayWeight> {
private:
int numPoints_;
const int degree_;
SGNodes<Scalar, dimension_> grid;
public:
~CubatureGenSparse() {}
CubatureGenSparse(const int degree);
/** \brief Returns cubature points and weights
(return arrays must be pre-sized/pre-allocated).
\param cubPoints [out] - Array containing the cubature points.
\param cubWeights [out] - Array of corresponding cubature weights.
*/
virtual void getCubature(ArrayPoint & cubPoints,
ArrayWeight & cubWeights) const;
/** \brief Returns the number of cubature points.
*/
virtual int getNumPoints() const;
/** \brief Returns dimension of the integration domain.
*/
virtual int getDimension() const;
/** \brief Returns algebraic accuracy (e.g. max. degree of polynomial
that is integrated exactly).
*/
virtual void getAccuracy(std::vector<int> & accuracy) const;
}; // end class CubatureGenSparse
// helper functions
template<class Scalar>
inline Scalar Sum(Scalar* list, int first, int last)
{
Scalar sum = 0;
for(int i = first; i <= last; i++)
sum += list[i];
return sum;
}
} // end namespace Intrepid
// include templated definitions
#include <Intrepid_CubatureGenSparseDef.hpp>
#endif
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