PolyEPoints.h

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///////////////////////////////////////////////////////////////////////////////
//
// File PolyEPoints.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Header file of 1D Evenly-Spaced Point Definitions
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef POLYEPOINTS_H
#define POLYEPOINTS_H
 
#include <memory>
 
#include <LibUtilities/BasicUtils/SharedArray.hpp>
#include <LibUtilities/Foundations/FoundationsFwd.hpp>
#include <LibUtilities/Foundations/Points.h>
#include <LibUtilities/LibUtilitiesDeclspec.h>
#include <LibUtilities/LinearAlgebra/NekMatrixFwd.hpp>
 
namespace Nektar
{
namespace LibUtilities
{
 
class PolyEPoints : public Points<NekDouble>
{
public:
    typedef Points<NekDouble> PointsBaseType;
 
    virtual ~PolyEPoints()
    {
    }
 
    LIB_UTILITIES_EXPORT static std::shared_ptr<PointsBaseType> Create(
        const PointsKey &key);
 
    LIB_UTILITIES_EXPORT const std::shared_ptr<NekMatrix<NekDouble>> GetI(
        const PointsKey &pkey);
    LIB_UTILITIES_EXPORT const std::shared_ptr<NekMatrix<NekDouble>> GetI(
        const Array<OneD, const NekDouble> &x);
    LIB_UTILITIES_EXPORT const std::shared_ptr<NekMatrix<NekDouble>> GetI(
        unsigned int numpoints, const Array<OneD, const NekDouble> &x);
 
    PolyEPoints(const PointsKey &key) : PointsBaseType(key)
    {
    }
 
private:
    static bool initPointsManager[];
 
    /// Default constructor should not be called except by Create method.
    PolyEPoints() : PointsBaseType(NullPointsKey)
    {
    }
 
    /// Copy constructor should not be called.
    PolyEPoints(const PolyEPoints &points) : PointsBaseType(points.m_pointsKey)
    {
    }
 
    void CalculatePoints();
    void CalculateWeights();
    void CalculateDerivMatrix();
    void CalculateInterpMatrix(unsigned int npts,
                               const Array<OneD, const NekDouble> &xpoints,
                               Array<OneD, NekDouble> &interp);
 
    NekDouble LagrangeInterpolant(NekDouble x, int npts,
                                  const Array<OneD, const NekDouble> &xpts,
                                  const Array<OneD, const NekDouble> &funcvals);
    NekDouble LagrangePoly(NekDouble x, int pt, int npts,
                           const Array<OneD, const NekDouble> &xpts);
    NekDouble LagrangePolyDeriv(NekDouble x, int pt, int npts,
                                const Array<OneD, const NekDouble> &xpts);
 
}; // class PolyEPoints
} // namespace LibUtilities
} // namespace Nektar
 
#endif // POLYEPOINTS_H