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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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// Questions? Contact Pavel Bochev (pbboche@sandia.gov)
// Denis Ridzal (dridzal@sandia.gov), or
// Kara Peterson (kjpeter@sandia.gov)
//
// ************************************************************************
// @HEADER
/** \file Intrepid_CubatureTensor.hpp
\brief Header file for the Intrepid::CubatureTensor class.
\author Created by P. Bochev and J. Lai.
*/
#ifndef INTREPID_CUBATURE_POLYGON_HPP
#define INTREPID_CUBATURE_POLYGON_HPP
#include "Intrepid_Cubature.hpp"
#include "Teuchos_Assert.hpp"
#include "Shards_CellTopology.hpp"
namespace Intrepid{
/** \class Intrepid::CubaturePolygon
\breif Defines cubature (integration) rules for polygons.
*/
template<class Scalar, class ArrayPoint=FieldContainer<Scalar>, class ArrayWeight=ArrayPoint>
class CubaturePolygon : public Intrepid::Cubature<Scalar,ArrayPoint,ArrayWeight>{
public:
/** brief Constructor.
\param cellTopology [in] - The topology of the polygon.
\param cellVertices [in] - The vertices of the polygon
\param degree [in] - The degree of cubature for each triangle
*/
CubaturePolygon(const shards::CellTopology& cellTopology,
const ArrayPoint& cellVertices,
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.
*/
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
*/
void getCubature(ArrayPoint& cubPoints,
ArrayWeight& cubWeights,
ArrayPoint& cellCoords) const;
/** \brief Returns the number of cubature points.
*/
int getNumPoints() const;
/** \brief Returns dimension of integration domain.
*/
int getDimension() const;
/** \brief Returns max. degree of polynomials that are integrated exactly on each triangle.
The return vector has size 1.
*/
void getAccuracy(std::vector<int> & accuracy) const;
virtual ~CubaturePolygon() {}
private:
/** \brief The topology of the polygon.
*/
shards::CellTopology cellTopology_;
/** \brief The vertices of the polygon.
*/
ArrayPoint cellVertices_;
/** \brief The degree of the polynomials that are integrated exactly on each triangle.
*/
int degree_;
/** \brief Local copy of cubature points.
*/
FieldContainer<Scalar> cubaturePoints_;
/** \brief Local copy of cubature weights.
*/
FieldContainer<Scalar> cubatureWeights_;
/** \brief The number of cubature points.
*/
int numPoints_;
/** \brief Dimension of integration domain.
*/
int cubDimension_;
}; // end class CubaturePolygon
} // end namespace Intrepid
#include "Intrepid_CubaturePolygonDef.hpp"
#endif
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