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GaussPoints.h
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2 //
3 // File GaussPoints.h
4 //
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7 // The MIT License
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10 // Department of Aeronautics, Imperial College London (UK), and Scientific
11 // Computing and Imaging Institute, University of Utah (USA).
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13 // License for the specific language governing rights and limitations under
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31 //
32 // Description: Header file of GaussPoints Distributions
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #ifndef GAUSSPOINTS_H
37 #define GAUSSPOINTS_H
38 
43 #include <boost/shared_ptr.hpp>
44 #include <boost/bind.hpp>
45 
46 namespace Nektar
47 {
48  namespace LibUtilities
49  {
50  class GaussPoints: public Points<NekDouble>
51  {
52  public:
53  virtual ~GaussPoints()
54  {
55  }
56 
57  LIB_UTILITIES_EXPORT static boost::shared_ptr< Points<NekDouble> > Create(const PointsKey &pkey);
58 
59  LIB_UTILITIES_EXPORT boost::shared_ptr< NekMatrix<NekDouble> > CreateMatrix(const PointsKey &pkey);
60 
61  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(const PointsKey &pkey);
62  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(const Array<OneD, const NekDouble>& x);
63  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetI(unsigned int numpoints, const Array<OneD, const NekDouble>& x);
64 
65  LIB_UTILITIES_EXPORT boost::shared_ptr< NekMatrix<NekDouble> > CreateGPMatrix(const PointsKey &pkey);
66 
67  LIB_UTILITIES_EXPORT const boost::shared_ptr<NekMatrix<NekDouble> > GetGalerkinProjection(const PointsKey &pkey);
68 
69 
70 
72  {
73  m_InterpManager.RegisterCreator(PointsKey(0, eGaussGaussLegendre),
74  boost::bind(&GaussPoints::CreateMatrix, this, _1));
76  boost::bind(&GaussPoints::CreateMatrix, this, _1));
78  boost::bind(&GaussPoints::CreateMatrix, this, _1));
80  boost::bind(&GaussPoints::CreateMatrix, this, _1));
82  boost::bind(&GaussPoints::CreateMatrix, this, _1));
84  boost::bind(&GaussPoints::CreateMatrix, this, _1));
86  boost::bind(&GaussPoints::CreateMatrix, this, _1));
88  boost::bind(&GaussPoints::CreateMatrix, this, _1));
90  boost::bind(&GaussPoints::CreateMatrix, this, _1));
92  boost::bind(&GaussPoints::CreateMatrix, this, _1));
94  boost::bind(&GaussPoints::CreateMatrix, this, _1));
96  boost::bind(&GaussPoints::CreateMatrix, this, _1));
98  boost::bind(&GaussPoints::CreateMatrix, this, _1));
100  boost::bind(&GaussPoints::CreateMatrix, this, _1));
102  boost::bind(&GaussPoints::CreateMatrix, this, _1));
104  boost::bind(&GaussPoints::CreateMatrix, this, _1));
105  m_InterpManager.RegisterCreator(PointsKey(0, eFourierEvenlySpaced),
106  boost::bind(&GaussPoints::CreateMatrix, this, _1));
107  m_InterpManager.RegisterCreator(PointsKey(0, ePolyEvenlySpaced),
108  boost::bind(&GaussPoints::CreateMatrix, this, _1));
109  m_InterpManager.RegisterCreator(PointsKey(0, eBoundaryLayerPoints),
110  boost::bind(&GaussPoints::CreateMatrix, this, _1));
112  boost::bind(&GaussPoints::CreateMatrix, this, _1));
114  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
116  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
118  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
120  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
122  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
124  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
126  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
128  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
130  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
132  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
134  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
136  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
138  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
140  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
142  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
144  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
146  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
148  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
150  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
152  boost::bind(&GaussPoints::CreateGPMatrix, this, _1));
153  }
154 
155 
156  private:
157  /// These should not be called. All creation is done
158  /// using the constructor requiring the key, declared
159  /// above.
160  GaussPoints();
161  GaussPoints(const GaussPoints &points);
162 
163  void CalculatePoints();
164  void CalculateWeights();
165  void CalculateDerivMatrix();
166  void CalculateInterpMatrix(unsigned int npts, const Array<OneD, const NekDouble>& xpoints, Array<OneD, NekDouble>& interp);
167 
168 
169  boost::shared_ptr<NekMatrix<NekDouble> > CalculateGalerkinProjectionMatrix(const PointsKey &pkey);
170 
171 
172  /// functions used by the Kronrod points
174  NekDouble LagrangePoly(NekDouble x, int pt, int npts, const Array<OneD, const NekDouble>& xpts);
176 
177  }; // class GaussPoints
178  } // end of namespace
179 } // end of namespace
180 
181 #endif //GAUSSPOINTS_H
NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess > m_GalerkinProjectionManager
Definition: Points.h:353
1D Gauss-Radau-Kronrod-Legendre quadrature points, pinned at x=-1
Definition: PointsType.h:60
NekDouble LagrangePolyDeriv(NekDouble x, int pt, int npts, const Array< OneD, const NekDouble > &xpts)
1D Gauss-Radau-Chebyshev quadrature points, pinned at x=-1
Definition: PointsType.h:52
NekDouble LagrangePoly(NekDouble x, int pt, int npts, const Array< OneD, const NekDouble > &xpts)
1D Gauss-Radau-Legendre quadrature points, pinned at x=1
Definition: PointsType.h:49
const boost::shared_ptr< NekMatrix< NekDouble > > GetI(const PointsKey &pkey)
GaussPoints()
These should not be called. All creation is done using the constructor requiring the key...
1D Gauss-Kronrod-Legendre quadrature points
Definition: PointsType.h:59
1D Gauss-Gauss-Legendre quadrature points
Definition: PointsType.h:47
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:57
1D Gauss-Radau-Kronrod-Legendre pinned at x=-1,
Definition: PointsType.h:61
1D Evenly-spaced points using Lagrange polynomial
Definition: PointsType.h:63
1D Lobatto Kronrod quadrature points
Definition: PointsType.h:62
1D Evenly-spaced points using Fourier Fit
Definition: PointsType.h:64
const boost::shared_ptr< NekMatrix< NekDouble > > GetGalerkinProjection(const PointsKey &pkey)
#define LIB_UTILITIES_EXPORT
1D Gauss-Radau-Chebyshev quadrature points, pinned at x=1
Definition: PointsType.h:53
static std::string npts
Definition: InputFld.cpp:43
static boost::shared_ptr< Points< NekDouble > > Create(const PointsKey &pkey)
1D Gauss-Gauss-Chebyshev quadrature points
Definition: PointsType.h:51
Defines a specification for a set of points.
Definition: Points.h:58
double NekDouble
void CalculateInterpMatrix(unsigned int npts, const Array< OneD, const NekDouble > &xpoints, Array< OneD, NekDouble > &interp)
boost::shared_ptr< NekMatrix< NekDouble > > CalculateGalerkinProjectionMatrix(const PointsKey &pkey)
1D power law distribution for boundary layer points
Definition: PointsType.h:67
GaussPoints(const PointsKey &pkey)
Definition: GaussPoints.h:71
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:58
NekDouble LagrangeInterpolant(NekDouble x, int npts, const Array< OneD, const NekDouble > &xpts, const Array< OneD, const NekDouble > &funcvals)
functions used by the Kronrod points
1D power law distribution for boundary layer points
Definition: PointsType.h:66
boost::shared_ptr< NekMatrix< NekDouble > > CreateMatrix(const PointsKey &pkey)
boost::shared_ptr< NekMatrix< NekDouble > > CreateGPMatrix(const PointsKey &pkey)
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:56
NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess > m_InterpManager
Definition: Points.h:352
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:55
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:50
Stores a set of points of datatype DataT, defined by a PointKey.
1D Gauss-Radau-Legendre quadrature points, pinned at x=-1
Definition: PointsType.h:48
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:54