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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.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Pavel Bochev (pbboche@sandia.gov)
// Denis Ridzal (dridzal@sandia.gov), or
// Kara Peterson (kjpeter@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_Assert.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 cubature points and weights.
Method for physical space cubature, throws an exception.
\param cubPoints [out] - Array containing the cubature points.
\param cubWeights [out] - Array of corresponding cubature weights.
\param cellCoords [in] - Array of cell coordinates
*/
virtual void getCubature(ArrayPoint& cubPoints,
ArrayWeight& cubWeights,
ArrayPoint& cellCoords) 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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