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Nektar::StdRegions Namespace Reference

The namespace associated with the the StdRegions library (StdRegions introduction) More...

Classes

struct  cmpop
 
class  IndexMapKey
 
struct  IndexValue
 
class  StdExpansion
 The base class for all shapes. More...
 
class  StdExpansion0D
 
class  StdExpansion1D
 
class  StdExpansion2D
 
class  StdExpansion3D
 
class  StdHexExp
 Class representing a hexehedral element in reference space. More...
 
class  StdLinSysKey
 
class  StdMatrixKey
 
class  StdNodalPrismExp
 
class  StdNodalTetExp
 
class  StdNodalTriExp
 
class  StdPointExp
 
class  StdPrismExp
 Class representing a prismatic element in reference space. More...
 
class  StdPyrExp
 
class  StdQuadExp
 
class  StdSegExp
 Class representing a segment element in reference space. More...
 
class  StdTetExp
 
class  StdTriExp
 

Typedefs

typedef Array< OneD, IndexValue > IndexMapValues
 
typedef boost::shared_ptr
< IndexMapKey > 		IndexMapKeySharedPtr
 
typedef boost::shared_ptr
< IndexMapValues > 		IndexMapValuesSharedPtr
 
typedef Array< OneD, Array
< OneD, NekDouble > > 		NormalVector
 
typedef boost::shared_ptr
< StdExpansion > 		StdExpansionSharedPtr
 
typedef std::vector
< StdExpansionSharedPtr > 		StdExpansionVector
 
typedef std::vector
< StdExpansionSharedPtr >
::iterator 		StdExpansionVectorIter
 
typedef boost::shared_ptr
< StdExpansion0D > 		StdExpansion0DSharedPtr
 
typedef boost::shared_ptr
< StdExpansion1D > 		StdExpansion1DSharedPtr
 
typedef boost::shared_ptr
< StdExpansion2D > 		StdExpansion2DSharedPtr
 
typedef boost::shared_ptr
< StdExpansion3D > 		StdExpansion3DSharedPtr
 
typedef boost::shared_ptr
< StdHexExp > 		StdHexExpSharedPtr
 
typedef boost::shared_ptr
< StdMatrixKey > 		StdMatrixKeySharedPtr
 
typedef boost::shared_ptr
< StdNodalPrismExp > 		StdNodalPrismExpSharedPtr
 
typedef boost::shared_ptr
< StdNodalTetExp > 		StdNodalTetExpSharedPtr
 
typedef boost::shared_ptr
< StdNodalTriExp > 		StdNodalTriExpSharedPtr
 
typedef boost::shared_ptr
< StdPointExp > 		StdPointExpSharedPtr
 
typedef boost::shared_ptr
< StdPrismExp > 		StdPrismExpSharedPtr
 
typedef boost::tuple< unsigned
int, unsigned int, unsigned
int, unsigned int > 		Mode
 
typedef boost::shared_ptr
< StdPyrExp > 		StdPyrExpSharedPtr
 
typedef boost::shared_ptr
< StdQuadExp > 		StdQuadExpSharedPtr
 
typedef std::map
< StdRegions::VarCoeffType,
Array< OneD, NekDouble > > 		VarCoeffMap
 
typedef std::map
< ConstFactorType, NekDouble > 		ConstFactorMap
 
typedef boost::shared_ptr
< StdSegExp > 		StdSegExpSharedPtr
 
typedef boost::shared_ptr
< StdTetExp > 		StdTetExpSharedPtr
 
typedef boost::shared_ptr
< StdTriExp > 		StdTriExpSharedPtr
 

Enumerations

enum  ElementType {
  eStdSegExp, eSegExp, eStdQuadExp, eStdTriExp,
  eStdNodalTriExp, eQuadExp, eTriExp, eNodalTriExp,
  eStdHexExp, eStdPrismExp, eStdPyrExp, eStdTetExp,
  eStdNodalTetExp, eHexExp, ePrismExp, ePyrExp,
  eTetExp, eNodalTetExp, SIZE_ElementType
}
 
enum  MatrixType {
  eMass, eInvMass, eLaplacian, eLaplacian00,
  eLaplacian01, eLaplacian02, eLaplacian10, eLaplacian11,
  eLaplacian12, eLaplacian20, eLaplacian21, eLaplacian22,
  eInvLaplacianWithUnityMean, eWeakDeriv0, eWeakDeriv1, eWeakDeriv2,
  eWeakDirectionalDeriv, eMassLevelCurvature, eLinearAdvectionReaction, eLinearAdvectionDiffusionReaction,
  eNBasisTrans, eInvNBasisTrans, eBwdTrans, eIProductWRTBase,
  eIProductWRTDerivBase0, eIProductWRTDerivBase1, eIProductWRTDerivBase2, eHelmholtz,
  eHybridDGHelmholtz, eInvHybridDGHelmholtz, eHybridDGHelmBndLam, eHybridDGLamToQ0,
  eHybridDGLamToQ1, eHybridDGLamToQ2, eHybridDGLamToU, eFwdTrans,
  ePreconR, ePreconRT, ePreconRMass, ePreconRTMass,
  ePreconLinearSpace, ePreconLinearSpaceMass, eInterpGauss, eGaussDG,
  ePhysInterpToEquiSpaced, eEquiSpacedToCoeffs, SIZE_MatrixType
}
 
enum  VarCoeffType {
  eVarCoeffMass, eVarCoeffLaplacian, eVarCoeffWeakDeriv, eVarCoeffD00,
  eVarCoeffD11, eVarCoeffD22, eVarCoeffD01, eVarCoeffD02,
  eVarCoeffD12, eVarCoeffVelX, eVarCoeffVelY
}
 
enum  ConstFactorType {
  eFactorLambda, eFactorTau, eFactorTime, eFactorSVVCutoffRatio,
  eFactorSVVDiffCoeff, eFactorGaussVertex, eFactorGaussEdge, eFactorConst
}
 
enum  IndexMapType {
  eEdgeToElement, eFaceToElement, eEdgeInterior, eFaceInterior,
  eBoundary, eVertex
}
 
enum  Orientation {
  eNoOrientation, eFwd, eBwd, eForwards,
  eBackwards, eDir1FwdDir1_Dir2FwdDir2, eDir1FwdDir1_Dir2BwdDir2, eDir1BwdDir1_Dir2FwdDir2,
  eDir1BwdDir1_Dir2BwdDir2, eDir1FwdDir2_Dir2FwdDir1, eDir1FwdDir2_Dir2BwdDir1, eDir1BwdDir2_Dir2FwdDir1,
  eDir1BwdDir2_Dir2BwdDir1, SIZE_Orientation
}
 

Functions

bool operator< (const IndexMapKey &lhs, const IndexMapKey &rhs)
 
bool operator== (const IndexMapKey &lhs, const IndexMapKey &rhs)
 
std::ostream & operator<< (std::ostream &os, const IndexMapKey &rhs)
 
LibUtilities::BasisKey EvaluateQuadFaceBasisKey (const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
 
LibUtilities::BasisKey EvaluateTriFaceBasisKey (const int facedir, const LibUtilities::BasisType faceDirBasisType, const int numpoints, const int nummodes)
 
template<typename T >
NekVector< T > GetColumn (const NekMatrix< T > &matA, int n)
 
NekMatrix< NekDouble > & SetColumn (NekMatrix< NekDouble > &matA, int n, const NekVector< NekDouble > &x)
 
NekVector< NekDouble > GetE (int rows, int n)
 
NekMatrix< NekDouble > Invert (const NekMatrix< NekDouble > &matA)
 
NekMatrix< NekDouble > GetTranspose (const NekMatrix< NekDouble > &matA)
 
int GetSize (const ConstArray< OneD, NekDouble > &x)
 
int GetSize (const NekVector< NekDouble > &x)
 
NekVector< NekDouble > ToVector (const ConstArray< OneD, NekDouble > &x)
 
Array< OneD, NekDouble > ToArray (const NekVector< NekDouble > &x)
 
NekVector< NekDouble > Hadamard (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
 
NekVector< NekDouble > VectorPower (const NekVector< NekDouble > &x, NekDouble p)
 
std::string MatrixToString (const NekMatrix< NekDouble > &A, int precision, NekDouble expSigFigs)
 
std::string VectorToString (const NekVector< NekDouble > &v, int precision, NekDouble expSigFigs)
 
int GetTriNumPoints (int degree)
 
int GetDegree (int nBasisFunctions)
 
int GetTetNumPoints (int degree)
 
int GetTetDegree (int nBasisFunc)
 
NekDouble MakeRound (NekDouble x)
 
NekMatrix< NekDouble > GetMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, int degree)
 
NekMatrix< NekDouble > GetMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z, int degree)
 
NekMatrix< NekDouble > GetMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
 
NekMatrix< NekDouble > GetMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
 
NekMatrix< NekDouble > GetXDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, int degree)
 
NekMatrix< NekDouble > GetXDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
 
NekMatrix< NekDouble > GetTetXDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z, int degree)
 
NekMatrix< NekDouble > GetTetXDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
 
NekMatrix< NekDouble > GetTetYDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z, int degree)
 
NekMatrix< NekDouble > GetTetYDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
 
NekMatrix< NekDouble > GetTetZDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z, int degree)
 
NekMatrix< NekDouble > GetTetZDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
 
NekMatrix< NekDouble > GetYDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, int degree)
 
NekMatrix< NekDouble > GetYDerivativeOfMonomialVandermonde (const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
 
NekVector< NekDouble > GetIntegralOfMonomialVandermonde (int degree)
 
int GetSize (const Array< OneD, const NekDouble > &x)
 
NekVector< NekDouble > ToVector (const Array< OneD, const NekDouble > &x)
 
bool operator< (const StdMatrixKey &lhs, const StdMatrixKey &rhs)
 
bool operator== (const StdMatrixKey &lhs, const StdMatrixKey &rhs)
 
std::ostream & operator<< (std::ostream &os, const StdMatrixKey &rhs)
 
template<class InputIterator , class EqualityComparable >
InputIterator find (InputIterator first, InputIterator last, InputIterator startingpoint, const EqualityComparable &value)
 

Variables

const char *const ElementTypeMap []
 
const char *const MatrixTypeMap []
 
const char *const VarCoeffTypeMap []
 
static VarCoeffMap NullVarCoeffMap
 
const char *const ConstFactorTypeMap []
 
static ConstFactorMap NullConstFactorMap
 
const char *const IndexMapTypeMap []
 
const char *const OrientationMap []
 

Detailed Description

The namespace associated with the the StdRegions library (StdRegions introduction)

Typedef Documentation

typedef std::map<ConstFactorType, NekDouble> Nektar::StdRegions::ConstFactorMap

Definition at line 251 of file StdRegions.hpp.

typedef boost::shared_ptr<IndexMapKey> Nektar::StdRegions::IndexMapKeySharedPtr

Definition at line 125 of file IndexMapKey.h.

typedef Array<OneD, IndexValue> Nektar::StdRegions::IndexMapValues

Definition at line 55 of file IndexMapKey.h.

typedef boost::shared_ptr<IndexMapValues> Nektar::StdRegions::IndexMapValuesSharedPtr

Definition at line 126 of file IndexMapKey.h.

typedef boost::tuple< unsigned int, unsigned int, unsigned int, unsigned int> Nektar::StdRegions::Mode

Definition at line 49 of file StdPyrExp.h.

typedef Array<OneD, Array<OneD, NekDouble> > Nektar::StdRegions::NormalVector

Definition at line 59 of file StdExpansion.h.

typedef boost::shared_ptr<StdExpansion0D> Nektar::StdRegions::StdExpansion0DSharedPtr

Definition at line 96 of file StdExpansion0D.h.

typedef boost::shared_ptr<StdExpansion1D> Nektar::StdRegions::StdExpansion1DSharedPtr

Definition at line 112 of file StdExpansion1D.h.

typedef boost::shared_ptr<StdExpansion2D> Nektar::StdRegions::StdExpansion2DSharedPtr

Definition at line 203 of file StdExpansion2D.h.

typedef boost::shared_ptr<StdExpansion3D> Nektar::StdRegions::StdExpansion3DSharedPtr

Definition at line 49 of file StdExpansion3D.h.

typedef boost::shared_ptr<StdExpansion> Nektar::StdRegions::StdExpansionSharedPtr

Definition at line 1873 of file StdExpansion.h.

typedef std::vector< StdExpansionSharedPtr > Nektar::StdRegions::StdExpansionVector

Definition at line 1874 of file StdExpansion.h.

typedef std::vector< StdExpansionSharedPtr >::iterator Nektar::StdRegions::StdExpansionVectorIter

Definition at line 1875 of file StdExpansion.h.

typedef boost::shared_ptr<StdHexExp> Nektar::StdRegions::StdHexExpSharedPtr

Definition at line 286 of file StdHexExp.h.

typedef boost::shared_ptr<StdMatrixKey> Nektar::StdRegions::StdMatrixKeySharedPtr

Definition at line 196 of file StdMatrixKey.h.

typedef boost::shared_ptr<StdNodalPrismExp> Nektar::StdRegions::StdNodalPrismExpSharedPtr

Definition at line 149 of file StdNodalPrismExp.h.

typedef boost::shared_ptr<StdNodalTetExp> Nektar::StdRegions::StdNodalTetExpSharedPtr

Definition at line 149 of file StdNodalTetExp.h.

typedef boost::shared_ptr<StdNodalTriExp> Nektar::StdRegions::StdNodalTriExpSharedPtr

Definition at line 193 of file StdNodalTriExp.h.

typedef boost::shared_ptr<StdPointExp> Nektar::StdRegions::StdPointExpSharedPtr

Definition at line 131 of file StdPointExp.h.

typedef boost::shared_ptr<StdPrismExp> Nektar::StdRegions::StdPrismExpSharedPtr

Definition at line 253 of file StdPrismExp.h.

typedef boost::shared_ptr<StdPyrExp> Nektar::StdRegions::StdPyrExpSharedPtr

Definition at line 258 of file StdPyrExp.h.

typedef boost::shared_ptr<StdQuadExp> Nektar::StdRegions::StdQuadExpSharedPtr

Definition at line 262 of file StdQuadExp.h.

typedef boost::shared_ptr<StdSegExp> Nektar::StdRegions::StdSegExpSharedPtr

Definition at line 47 of file StdSegExp.h.

typedef boost::shared_ptr<StdTetExp> Nektar::StdRegions::StdTetExpSharedPtr

Definition at line 268 of file StdTetExp.h.

typedef boost::shared_ptr<StdTriExp> Nektar::StdRegions::StdTriExpSharedPtr

Definition at line 267 of file StdTriExp.h.

typedef std::map<StdRegions::VarCoeffType, Array<OneD, NekDouble> > Nektar::StdRegions::VarCoeffMap

Definition at line 226 of file StdRegions.hpp.

Enumeration Type Documentation

enum Nektar::StdRegions::ConstFactorType
Enumerator
eFactorLambda 
eFactorTau 
eFactorTime 
eFactorSVVCutoffRatio 
eFactorSVVDiffCoeff 
eFactorGaussVertex 
eFactorGaussEdge 
eFactorConst 

Definition at line 229 of file StdRegions.hpp.

230  {
231  eFactorLambda,
232  eFactorTau,
233  eFactorTime,
234  eFactorSVVCutoffRatio,
235  eFactorSVVDiffCoeff,
236  eFactorGaussVertex,
237  eFactorGaussEdge,
238  eFactorConst
239  };
enum Nektar::StdRegions::ElementType
Enumerator
eStdSegExp 
eSegExp 
eStdQuadExp 
eStdTriExp 
eStdNodalTriExp 
eQuadExp 
eTriExp 
eNodalTriExp 
eStdHexExp 
eStdPrismExp 
eStdPyrExp 
eStdTetExp 
eStdNodalTetExp 
eHexExp 
ePrismExp 
ePyrExp 
eTetExp 
eNodalTetExp 
SIZE_ElementType 

Definition at line 52 of file StdRegions.hpp.

53  {
54  //eStdPointExp,
55  eStdSegExp,
56  eSegExp,
57  eStdQuadExp,
58  eStdTriExp,
59  eStdNodalTriExp,
60  eQuadExp,
61  eTriExp,
62  eNodalTriExp,
63  eStdHexExp,
64  eStdPrismExp,
65  eStdPyrExp,
66  eStdTetExp,
67  eStdNodalTetExp,
68  eHexExp,
69  ePrismExp,
70  ePyrExp,
71  eTetExp,
72  eNodalTetExp,
73  SIZE_ElementType
74  };
enum Nektar::StdRegions::IndexMapType
Enumerator
eEdgeToElement 
eFaceToElement 
eEdgeInterior 
eFaceInterior 
eBoundary 
eVertex 

Definition at line 254 of file StdRegions.hpp.

255  {
256  eEdgeToElement,
257  eFaceToElement,
258  eEdgeInterior,
259  eFaceInterior,
260  eBoundary,
261  eVertex
262  };
enum Nektar::StdRegions::MatrixType
Todo:
we need to tidy up matrix construction approach probably using a factory type approach
Enumerator
eMass 
eInvMass 
eLaplacian 
eLaplacian00 
eLaplacian01 
eLaplacian02 
eLaplacian10 
eLaplacian11 
eLaplacian12 
eLaplacian20 
eLaplacian21 
eLaplacian22 
eInvLaplacianWithUnityMean 
eWeakDeriv0 
eWeakDeriv1 
eWeakDeriv2 
eWeakDirectionalDeriv 
eMassLevelCurvature 
eLinearAdvectionReaction 
eLinearAdvectionDiffusionReaction 
eNBasisTrans 
eInvNBasisTrans 
eBwdTrans 
eIProductWRTBase 
eIProductWRTDerivBase0 
eIProductWRTDerivBase1 
eIProductWRTDerivBase2 
eHelmholtz 
eHybridDGHelmholtz 
eInvHybridDGHelmholtz 
eHybridDGHelmBndLam 
eHybridDGLamToQ0 
eHybridDGLamToQ1 
eHybridDGLamToQ2 
eHybridDGLamToU 
eFwdTrans 
ePreconR 
ePreconRT 
ePreconRMass 
ePreconRTMass 
ePreconLinearSpace 
ePreconLinearSpaceMass 
eInterpGauss 
eGaussDG 
ePhysInterpToEquiSpaced 
eEquiSpacedToCoeffs 
SIZE_MatrixType 

Definition at line 101 of file StdRegions.hpp.

102  {
103  eMass,
104  eInvMass,
105  eLaplacian,
106  eLaplacian00,
107  eLaplacian01,
108  eLaplacian02,
109  eLaplacian10,
110  eLaplacian11,
111  eLaplacian12,
112  eLaplacian20,
113  eLaplacian21,
114  eLaplacian22,
115  eInvLaplacianWithUnityMean,
116  eWeakDeriv0,
117  eWeakDeriv1,
118  eWeakDeriv2,
119  eWeakDirectionalDeriv,
120  eMassLevelCurvature,
121  eLinearAdvectionReaction,
122  eLinearAdvectionDiffusionReaction,
123  eNBasisTrans,
124  eInvNBasisTrans,
125  eBwdTrans,
126  eIProductWRTBase,
127  eIProductWRTDerivBase0,
128  eIProductWRTDerivBase1,
129  eIProductWRTDerivBase2,
130  eHelmholtz,
131  eHybridDGHelmholtz,
132  eInvHybridDGHelmholtz,
133  eHybridDGHelmBndLam,
134  eHybridDGLamToQ0,
135  eHybridDGLamToQ1,
136  eHybridDGLamToQ2,
137  eHybridDGLamToU,
138  eFwdTrans,
139  ePreconR,
140  ePreconRT,
141  ePreconRMass,
142  ePreconRTMass,
143  ePreconLinearSpace,
144  ePreconLinearSpaceMass,
145  eInterpGauss,
146  eGaussDG,
147  ePhysInterpToEquiSpaced,
148  eEquiSpacedToCoeffs,
149  SIZE_MatrixType
150  };
enum Nektar::StdRegions::Orientation
Enumerator
eNoOrientation 
eFwd 
eBwd 
eForwards 
eBackwards 
eDir1FwdDir1_Dir2FwdDir2 
eDir1FwdDir1_Dir2BwdDir2 
eDir1BwdDir1_Dir2FwdDir2 
eDir1BwdDir1_Dir2BwdDir2 
eDir1FwdDir2_Dir2FwdDir1 
eDir1FwdDir2_Dir2BwdDir1 
eDir1BwdDir2_Dir2FwdDir1 
eDir1BwdDir2_Dir2BwdDir1 
SIZE_Orientation 

Definition at line 274 of file StdRegions.hpp.

275  {
276  eNoOrientation,
277  eFwd,
278  eBwd,
279  eForwards,
280  eBackwards,
281  eDir1FwdDir1_Dir2FwdDir2, // These flags are interpreted as
282  eDir1FwdDir1_Dir2BwdDir2, // taking the second direction to the
283  eDir1BwdDir1_Dir2FwdDir2, // first direction. So Dir1FwdDir2 takes
284  eDir1BwdDir1_Dir2BwdDir2, // direction 2 and makes it backward
285  eDir1FwdDir2_Dir2FwdDir1, // to direction 1 in the mapped face.
286  eDir1FwdDir2_Dir2BwdDir1, // Note be careful not to flip this
287  eDir1BwdDir2_Dir2FwdDir1, // convention especially when using
288  eDir1BwdDir2_Dir2BwdDir1, // transposed mappings.
289  SIZE_Orientation
290  };
enum Nektar::StdRegions::VarCoeffType
Enumerator
eVarCoeffMass 
eVarCoeffLaplacian 
eVarCoeffWeakDeriv 
eVarCoeffD00 
eVarCoeffD11 
eVarCoeffD22 
eVarCoeffD01 
eVarCoeffD02 
eVarCoeffD12 
eVarCoeffVelX 
eVarCoeffVelY 

Definition at line 198 of file StdRegions.hpp.

199  {
200  eVarCoeffMass,
201  eVarCoeffLaplacian,
202  eVarCoeffWeakDeriv,
203  eVarCoeffD00,
204  eVarCoeffD11,
205  eVarCoeffD22,
206  eVarCoeffD01,
207  eVarCoeffD02,
208  eVarCoeffD12,
209  eVarCoeffVelX,
210  eVarCoeffVelY
211  };

Function Documentation

LibUtilities::BasisKey Nektar::StdRegions::EvaluateQuadFaceBasisKey ( const int  facedir,
const LibUtilities::BasisType  faceDirBasisType,
const int  numpoints,
const int  nummodes 
)

Definition at line 351 of file StdExpansion3D.cpp.

References ASSERTL0, Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, and Nektar::LibUtilities::NullBasisKey().

Referenced by Nektar::SpatialDomains::MeshGraph3D::GetFaceBasisKey(), Nektar::StdRegions::StdPrismExp::v_DetFaceBasisKey(), Nektar::StdRegions::StdHexExp::v_DetFaceBasisKey(), and Nektar::StdRegions::StdPyrExp::v_DetFaceBasisKey().

356  {
357 
358  switch(faceDirBasisType)
359  {
360  case LibUtilities::eModified_A:
361  {
362  const LibUtilities::PointsKey pkey(
363  numpoints, LibUtilities::eGaussLobattoLegendre);
364  return LibUtilities::BasisKey(
365  LibUtilities::eModified_A, nummodes, pkey);
366  }
367  case LibUtilities::eModified_B:
368  case LibUtilities::eModified_C:
369  {
370  const LibUtilities::PointsKey pkey(
371  numpoints+1, LibUtilities::eGaussLobattoLegendre);
372  return LibUtilities::BasisKey(
373  LibUtilities::eModified_A, nummodes, pkey);
374  }
375  case LibUtilities::eGLL_Lagrange:
376  {
377  const LibUtilities::PointsKey pkey(
378  numpoints, LibUtilities::eGaussLobattoLegendre);
379  return LibUtilities::BasisKey(
380  LibUtilities::eGLL_Lagrange, nummodes, pkey);
381  }
382  case LibUtilities::eOrtho_A:
383  {
384  const LibUtilities::PointsKey pkey(
385  numpoints, LibUtilities::eGaussLobattoLegendre);
386  return LibUtilities::BasisKey(
387  LibUtilities::eOrtho_A, nummodes, pkey);
388  }
389  case LibUtilities::eOrtho_B:
390  case LibUtilities::eOrtho_C:
391  {
392  const LibUtilities::PointsKey pkey(
393  numpoints+1, LibUtilities::eGaussLobattoLegendre);
394  return LibUtilities::BasisKey(
395  LibUtilities::eOrtho_A, nummodes, pkey);
396  }
397  default:
398  {
399  ASSERTL0(false, "expansion type unknown");
400  break;
401  }
402  }
403 
404  // Keep things happy by returning a value.
405  return LibUtilities::NullBasisKey;
406  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::LibUtilities::eModified_C
Principle Modified Functions .
Definition: BasisType.h:51
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LibUtilities::eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:48
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::LibUtilities::NullBasisKey
static const BasisKey NullBasisKey(eNoBasisType, 0, NullPointsKey)
Defines a null basis with no type or points.
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::LibUtilities::eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:50
LibUtilities::BasisKey Nektar::StdRegions::EvaluateTriFaceBasisKey ( const int  facedir,
const LibUtilities::BasisType  faceDirBasisType,
const int  numpoints,
const int  nummodes 
)

Definition at line 408 of file StdExpansion3D.cpp.

References ASSERTL0, Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGaussRadauMAlpha1Beta0, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, and Nektar::LibUtilities::NullBasisKey().

Referenced by Nektar::SpatialDomains::MeshGraph3D::GetFaceBasisKey(), Nektar::StdRegions::StdPrismExp::v_DetFaceBasisKey(), Nektar::StdRegions::StdTetExp::v_DetFaceBasisKey(), and Nektar::StdRegions::StdPyrExp::v_DetFaceBasisKey().

413  {
414  switch(faceDirBasisType)
415  {
416  case LibUtilities::eModified_A:
417  {
418  const LibUtilities::PointsKey pkey(
419  numpoints, LibUtilities::eGaussLobattoLegendre);
420  return LibUtilities::BasisKey(
421  LibUtilities::eModified_A, nummodes, pkey);
422  }
423  case LibUtilities::eModified_B:
424  case LibUtilities::eModified_C:
425  {
426  switch (facedir)
427  {
428  case 0:
429  {
430  const LibUtilities::PointsKey pkey(
431  numpoints+1,
432  LibUtilities::eGaussLobattoLegendre);
433  return LibUtilities::BasisKey(
434  LibUtilities::eModified_A, nummodes, pkey);
435  }
436  case 1:
437  {
438 // const LibUtilities::PointsKey pkey(
439 // numpoints+1,
440 // LibUtilities::eGaussLobattoLegendre);
441  const LibUtilities::PointsKey pkey(
442  numpoints,
443  LibUtilities::eGaussRadauMAlpha1Beta0);
444  return LibUtilities::BasisKey(
445  LibUtilities::eModified_B, nummodes, pkey);
446  }
447  default:
448  {
449 
450  ASSERTL0(false,"invalid value to flag");
451  break;
452  }
453  }
454  }
455 
456  case LibUtilities::eGLL_Lagrange:
457  {
458  switch (facedir)
459  {
460  case 0:
461  {
462  const LibUtilities::PointsKey pkey(
463  numpoints,
464  LibUtilities::eGaussLobattoLegendre);
465  return LibUtilities::BasisKey(
466  LibUtilities::eOrtho_A, nummodes, pkey);
467  }
468  case 1:
469  {
470  const LibUtilities::PointsKey pkey(
471  numpoints,
472  LibUtilities::eGaussRadauMAlpha1Beta0);
473  return LibUtilities::BasisKey(
474  LibUtilities::eOrtho_B, nummodes, pkey);
475  }
476  default:
477  {
478  ASSERTL0(false,"invalid value to flag");
479  break;
480  }
481  }
482  }
483 
484  case LibUtilities::eOrtho_A:
485  case LibUtilities::eOrtho_B:
486  case LibUtilities::eOrtho_C:
487  {
488  switch (facedir)
489  {
490  case 0:
491  {
492  const LibUtilities::PointsKey pkey(
493  numpoints,
494  LibUtilities::eGaussLobattoLegendre);
495  return LibUtilities::BasisKey(
496  LibUtilities::eOrtho_A, nummodes, pkey);
497  }
498  case 1:
499  {
500  const LibUtilities::PointsKey pkey(
501  numpoints,
502  LibUtilities::eGaussRadauMAlpha1Beta0);
503  return LibUtilities::BasisKey(
504  LibUtilities::eOrtho_B, nummodes, pkey);
505  }
506  default:
507  {
508  ASSERTL0(false,"invalid value to flag");
509  break;
510  }
511  }
512  }
513  default:
514  {
515  ASSERTL0(false,"expansion type unknown");
516  break;
517  }
518  }
519 
520  // Keep things happy by returning a value.
521  return LibUtilities::NullBasisKey;
522  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
Nektar::LibUtilities::eModified_C
Principle Modified Functions .
Definition: BasisType.h:51
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eGaussRadauMAlpha1Beta0
Gauss Radau pinned at x=-1, .
Definition: PointsType.h:57
Nektar::LibUtilities::eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:47
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LibUtilities::eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:48
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::LibUtilities::NullBasisKey
static const BasisKey NullBasisKey(eNoBasisType, 0, NullPointsKey)
Defines a null basis with no type or points.
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::LibUtilities::eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:50
template<class InputIterator , class EqualityComparable >
InputIterator Nektar::StdRegions::find ( InputIterator  first,
InputIterator  last,
InputIterator  startingpoint,
const EqualityComparable &  value 
)

Definition at line 315 of file StdRegions.hpp.

Referenced by Nektar::Utilities::Iso::condense(), Nektar::SolverUtils::FilterThresholdMax::FilterThresholdMax(), Nektar::SolverUtils::FilterThresholdMin::FilterThresholdMin(), Nektar::SpatialDomains::MeshGraph::GetCompositeList(), Nektar::LibUtilities::AnalyticExpressionEvaluator::GetConstant(), Nektar::LibUtilities::SessionReader::GetGlobalSysSolnInfo(), Nektar::Utilities::ProcessMapping::GetMapping(), Nektar::LibUtilities::SessionReader::GetSolverInfoAsEnum(), Nektar::LibUtilities::SessionReader::GetValueAsEnum(), Nektar::SpatialDomains::PointGeom::IsElmtConnected(), Nektar::NekMeshUtils::SurfaceMesh::Mesh(), Nektar::NekMeshUtils::Face::operator==(), Nektar::NekMeshUtils::operator==(), Nektar::Utilities::InputCAD::Process(), Nektar::Utilities::ProcessCyl::Process(), Nektar::SpatialDomains::Domain::Read(), Nektar::SpatialDomains::BoundaryConditions::ReadBoundaryConditions(), Nektar::SpatialDomains::MeshGraph::ReadCurves(), Nektar::SpatialDomains::MeshGraph::ReadExpansions(), Nektar::LibUtilities::SessionReader::ReadGlobalSysSolnInfo(), Nektar::LibUtilities::SessionReader::ReadVariables(), Nektar::LibUtilities::SessionReader::RegisterEnumValue(), Nektar::StdRegions::StdPyrExp::StdPyrExp(), Nektar::FilterMovingBody::v_Initialise(), Nektar::SolverUtils::FilterAeroForces::v_Initialise(), Nektar::SpatialDomains::QuadGeom::v_IsElmtConnected(), Nektar::SpatialDomains::TriGeom::v_IsElmtConnected(), Nektar::SpatialDomains::SegGeom::v_IsElmtConnected(), Nektar::SpatialDomains::Geometry3D::v_IsElmtConnected(), and Nektar::Utilities::OutputNekpp::WriteXmlComposites().

318  {
319  InputIterator val;
320 
321  if(startingpoint == first)
322  {
323  val = find(first,last,value);
324  }
325  else
326  {
327  val = find(startingpoint,last,value);
328  if(val == last)
329  {
330  val = find(first,startingpoint,value);
331  if(val == startingpoint)
332  {
333  val = last;
334  }
335  }
336  }
337  return val;
338  }
Nektar::StdRegions::find
InputIterator find(InputIterator first, InputIterator last, InputIterator startingpoint, const EqualityComparable &value)
Definition: StdRegions.hpp:315
template<typename T >
NekVector< T > Nektar::StdRegions::GetColumn ( const NekMatrix< T > &  matA,
int  n 
)

Definition at line 52 of file StdExpUtil.cpp.

53  {
54  NekVector<T> v(matA.GetRows());
55  for( int i=0; i<matA.GetRows(); ++i )
56  {
57  v[i] = matA(i,n);
58  }
59  return v;
60  }
int Nektar::StdRegions::GetDegree ( int  nBasisFunctions)

Definition at line 207 of file StdExpUtil.cpp.

References ASSERTL1, GetTriNumPoints(), and MakeRound().

Referenced by GetMonomialVandermonde(), GetXDerivativeOfMonomialVandermonde(), and GetYDerivativeOfMonomialVandermonde().

208  {
209  int degree = int(MakeRound((-3.0 + sqrt(1.0 + 8.0*nBasisFunctions))/2.0));
210 
211  // TODO: Find out why ASSERTL0 and ASSERTL1 don't work
212  ASSERTL1( GetTriNumPoints(degree) == nBasisFunctions, "The number of points defines an expansion of fractional degree, which is not supported." );
213  return degree;
214  }
Nektar::StdRegions::MakeRound
NekDouble MakeRound(NekDouble x)
Definition: StdExpUtil.cpp:231
Nektar::StdRegions::GetTriNumPoints
int GetTriNumPoints(int degree)
Definition: StdExpUtil.cpp:202
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
NekVector< NekDouble > Nektar::StdRegions::GetE ( int  rows,
int  n 
)

Definition at line 72 of file StdExpUtil.cpp.

Referenced by Invert().

73  {
74  NekVector<NekDouble> e(rows, 0.0);
75  e(n) = 1;
76  return e;
77  }
NekVector< NekDouble > Nektar::StdRegions::GetIntegralOfMonomialVandermonde ( int  degree)

Definition at line 497 of file StdExpUtil.cpp.

498  {
499  int cols = (degree + 1) * (degree + 2) / 2;
500  NekVector<NekDouble>integralMVandermonde(cols, 0.0);
501 
502  for(int d=0, n=0; d <= degree; ++d)
503  {
504  for(int p=0; p <= d; ++p, ++n)
505  {
506  int q = d - p;
507  int sp = 1 - 2 * (p % 2);
508  int sq = 1 - 2 * (q % 2);
509 
510  integralMVandermonde(n) = NekDouble(sp * (p+1) + sq * (q+1) + sp * sq * (p+q+2)) / ((p+1) * (q+1) * (p+q+2));
511  }
512  }
513  return integralMVandermonde;
514  }
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
NekMatrix< NekDouble > Nektar::StdRegions::GetMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
int  degree 
)

Definition at line 236 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetMonomialVandermonde().

237  {
238  int rows = GetSize(x);
239  int cols = (degree + 1)*(degree + 2)/2;
240  NekMatrix<NekDouble>matV(rows,cols, 0.0);
241 
242  for(int d=0, n=0; d <= degree; ++d)
243  {
244  for(int p=0; p <= d; ++p, ++n)
245  {
246  int q = d - p;
247 
248  for(int i=0; i<rows; ++i)
249  {
250  matV(i, n) = pow(x[i], p) * pow(y[i], q);
251  }
252  }
253  }
254  return matV;
255  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z,
int  degree 
)

Definition at line 257 of file StdExpUtil.cpp.

References GetSize().

259  {
260  int rows = GetSize(x);
261  int cols = (degree + 1) * (degree + 2) * (degree + 3)/6;
262 
263  NekMatrix<NekDouble> matV(rows, cols, 0.0);
264 
265  for(int d=0, n=0; d<=degree; ++d)
266  {
267  for(int p=0; p <= d; ++p)
268  {
269  for(int q=0; q <= d - p; ++q, ++n)
270  {
271  int r = d - p - q;
272 
273  // Set n-th column of V to the monomial vector
274  for(int i=0; i<rows; ++i)
275  {
276  matV(i,n) = pow(x[i],p) * pow(y[i],q) * pow(z[i],r);
277  }
278  }
279  }
280  }
281  return matV;
282  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z 
)

Definition at line 284 of file StdExpUtil.cpp.

References GetMonomialVandermonde(), GetSize(), and GetTetDegree().

285  {
286  int rows = GetSize(x);
287  int degree = GetTetDegree(rows);
288  return GetMonomialVandermonde(x, y, z, degree);
289  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetTetDegree
int GetTetDegree(int nBasisFunc)
Definition: StdExpUtil.cpp:222
Nektar::StdRegions::GetMonomialVandermonde
NekMatrix< NekDouble > GetMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
Definition: StdExpUtil.cpp:291
NekMatrix< NekDouble > Nektar::StdRegions::GetMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y 
)

Definition at line 291 of file StdExpUtil.cpp.

References GetDegree(), GetMonomialVandermonde(), and GetSize().

292  {
293  int rows = GetSize(x);
294  int degree = GetDegree(rows);
295  return GetMonomialVandermonde(x, y, degree);
296  }
Nektar::StdRegions::GetDegree
int GetDegree(int nBasisFunctions)
Definition: StdExpUtil.cpp:207
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetMonomialVandermonde
NekMatrix< NekDouble > GetMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
Definition: StdExpUtil.cpp:291
int Nektar::StdRegions::GetSize ( const Array< OneD, const NekDouble > &  x)

Definition at line 111 of file NodalUtil.cpp.

Referenced by Nektar::NekMatrix< DataType, StandardMatrixTag >::CalculateIndex(), Nektar::LibUtilities::DubinerPoly(), Nektar::LibUtilities::DubinerPolyXDerivative(), Nektar::LibUtilities::DubinerPolyYDerivative(), Nektar::LibUtilities::GetInterpolationMatrix(), Nektar::LibUtilities::GetMonomialVandermonde(), Nektar::LibUtilities::GetTetInterpolationMatrix(), Nektar::LibUtilities::GetTetVandermonde(), Nektar::LibUtilities::GetTetXDerivativeMatrix(), Nektar::LibUtilities::GetTetXDerivativeOfMonomialVandermonde(), Nektar::LibUtilities::GetTetYDerivativeOfMonomialVandermonde(), Nektar::LibUtilities::GetTetZDerivativeMatrix(), Nektar::LibUtilities::GetTetZDerivativeOfMonomialVandermonde(), Nektar::LibUtilities::GetVandermonde(), Nektar::LibUtilities::GetVandermondeForTetXDerivative(), Nektar::LibUtilities::GetVandermondeForTetYDerivative(), Nektar::LibUtilities::GetVandermondeForTetZDerivative(), Nektar::LibUtilities::GetVandermondeForXDerivative(), Nektar::LibUtilities::GetVandermondeForYDerivative(), Nektar::LibUtilities::GetXDerivativeMatrix(), Nektar::LibUtilities::GetXDerivativeOfMonomialVandermonde(), Nektar::LibUtilities::GetYDerivativeMatrix(), Nektar::LibUtilities::GetYDerivativeOfMonomialVandermonde(), Nektar::LibUtilities::Hadamard(), Nektar::LibUtilities::JacobiPoly(), Nektar::LibUtilities::JacobiPolyDerivative(), Nektar::LibUtilities::LegendrePoly(), Nektar::LibUtilities::LegendrePolyDerivative(), Nektar::LibUtilities::SessionReader::PartitionMesh(), Nektar::LibUtilities::TetrahedralBasis(), Nektar::LibUtilities::TetXDerivative(), Nektar::LibUtilities::TetYDerivative(), Nektar::LibUtilities::TetZDerivative(), Nektar::LibUtilities::ToArray(), ToVector(), and Nektar::LibUtilities::VectorPower().

112  {
113  return x.num_elements();
114  }
int Nektar::StdRegions::GetSize ( const ConstArray< OneD, NekDouble > &  x)

Definition at line 111 of file StdExpUtil.cpp.

Referenced by GetMonomialVandermonde(), GetTetXDerivativeOfMonomialVandermonde(), GetTetYDerivativeOfMonomialVandermonde(), GetTetZDerivativeOfMonomialVandermonde(), GetXDerivativeOfMonomialVandermonde(), GetYDerivativeOfMonomialVandermonde(), Hadamard(), ToArray(), ToVector(), and VectorPower().

112  {
113  return x.num_elements();
114  }
int Nektar::StdRegions::GetSize ( const NekVector< NekDouble > &  x)

Definition at line 116 of file StdExpUtil.cpp.

References Nektar::NekVector< DataType >::GetRows().

117  {
118  return x.GetRows();
119  }
int Nektar::StdRegions::GetTetDegree ( int  nBasisFunc)

Definition at line 222 of file StdExpUtil.cpp.

References ASSERTL1, GetTetNumPoints(), and MakeRound().

Referenced by GetMonomialVandermonde(), GetTetXDerivativeOfMonomialVandermonde(), GetTetYDerivativeOfMonomialVandermonde(), and GetTetZDerivativeOfMonomialVandermonde().

223  {
224  NekDouble eq = pow( 81.0 * nBasisFunc + 3.0 * sqrt(-3.0 + 729.0 * nBasisFunc * nBasisFunc), 1.0/3.0);
225  int degree = int(MakeRound(eq/3.0 + 1.0/eq - 1.0)) - 1;
226 
227  ASSERTL1( GetTetNumPoints(degree) == nBasisFunc, "The number of points defines an expansion of fractional degree, which is not supported." );
228  return degree;
229  }
Nektar::StdRegions::MakeRound
NekDouble MakeRound(NekDouble x)
Definition: StdExpUtil.cpp:231
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::GetTetNumPoints
int GetTetNumPoints(int degree)
Definition: StdExpUtil.cpp:216
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
int Nektar::StdRegions::GetTetNumPoints ( int  degree)

Definition at line 216 of file StdExpUtil.cpp.

Referenced by GetTetDegree().

217  {
218  return (degree+1) * (degree+2) * (degree+3) / 6;
219  }
NekMatrix< NekDouble > Nektar::StdRegions::GetTetXDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z,
int  degree 
)

Definition at line 336 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetTetXDerivativeOfMonomialVandermonde().

338  {
339  int rows = GetSize(x);
340  int cols = (degree + 1) * (degree + 2) * (degree + 3) / 6;
341  NekMatrix<NekDouble> matVx(rows, cols, 0.0);
342  for(int d=0, n=0; d<=degree; ++d)
343  {
344  for(int p=0; p <= d; ++p)
345  {
346  for(int q=0; q <= d - p; ++q, ++n)
347  {
348  int r = d - p - q;
349  if(p > 0)
350  {
351  // Set n-th column of V to the monomial vector
352  for(int i=0; i<rows; ++i)
353  {
354  matVx(i,n) = p * pow(x[i],p-1.0) * pow(y[i],q) * pow(z[i],r);
355  }
356  }
357  else{
358  for(int j=0; j<rows; ++j)
359  {
360  matVx(j, n) = 0.0;
361  }
362  }
363  }
364  }
365  }
366  return matVx;
367  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetTetXDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z 
)

Definition at line 369 of file StdExpUtil.cpp.

References GetSize(), GetTetDegree(), and GetTetXDerivativeOfMonomialVandermonde().

371  {
372  int rows = GetSize(x);
373  int degree = GetTetDegree(rows);
374  return GetTetXDerivativeOfMonomialVandermonde(x, y, z, degree);
375  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetTetDegree
int GetTetDegree(int nBasisFunc)
Definition: StdExpUtil.cpp:222
Nektar::StdRegions::GetTetXDerivativeOfMonomialVandermonde
NekMatrix< NekDouble > GetTetXDerivativeOfMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
Definition: StdExpUtil.cpp:369
NekMatrix< NekDouble > Nektar::StdRegions::GetTetYDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z,
int  degree 
)

Definition at line 377 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetTetYDerivativeOfMonomialVandermonde().

379  {
380  int rows = GetSize(x);
381  int cols = (degree + 1) * (degree + 2) * (degree + 3) / 6;
382  NekMatrix<NekDouble> matVy(rows, cols, 0.0);
383  for(int d=0, n=0; d<=degree; ++d)
384  {
385  for(int p=0; p <= d; ++p)
386  {
387  for(int q=0; q <= d - p; ++q, ++n)
388  {
389  int r = d - p - q;
390  if(q > 0)
391  {
392  // Set n-th column of V to the monomial vector
393  for(int i=0; i<rows; ++i)
394  {
395  matVy(i,n) = q * pow(x[i],p) * pow(y[i],q-1.0) * pow(z[i],r);
396  }
397  }
398  else
399  {
400  for(int j=0; j<rows; ++j)
401  {
402  matVy(j, n) = 0.0;
403  }
404  }
405  }
406  }
407  }
408  return matVy;
409  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetTetYDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z 
)

Definition at line 411 of file StdExpUtil.cpp.

References GetSize(), GetTetDegree(), and GetTetYDerivativeOfMonomialVandermonde().

413  {
414  int rows = GetSize(x);
415  int degree = GetTetDegree(rows);
416  return GetTetYDerivativeOfMonomialVandermonde(x, y, z, degree);
417  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetTetDegree
int GetTetDegree(int nBasisFunc)
Definition: StdExpUtil.cpp:222
Nektar::StdRegions::GetTetYDerivativeOfMonomialVandermonde
NekMatrix< NekDouble > GetTetYDerivativeOfMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
Definition: StdExpUtil.cpp:411
NekMatrix< NekDouble > Nektar::StdRegions::GetTetZDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z,
int  degree 
)

Definition at line 419 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetTetZDerivativeOfMonomialVandermonde().

421  {
422  int rows = GetSize(x);
423  int cols = (degree + 1) * (degree + 2) * (degree + 3) / 6;
424  NekMatrix<NekDouble> matVz(rows, cols, 0.0);
425  for(int d=0, n=0; d<=degree; ++d)
426  {
427  for(int p=0; p <= d; ++p)
428  {
429  for(int q=0; q <= d - p; ++q, ++n)
430  {
431  int r = d - p - q;
432  if(r > 0)
433  {
434  // Set n-th column of V to the monomial vector
435  for(int i=0; i<rows; ++i)
436  {
437  matVz(i,n) = r * pow(x[i],p) * pow(y[i],q) * pow(z[i],r-1.0);
438  }
439  }
440  else{
441  for(int j=0; j<rows; ++j)
442  {
443  matVz(j, n) = 0.0;
444  }
445  }
446  }
447  }
448  }
449  return matVz;
450  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetTetZDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
const NekVector< NekDouble > &  z 
)

Definition at line 452 of file StdExpUtil.cpp.

References GetSize(), GetTetDegree(), and GetTetZDerivativeOfMonomialVandermonde().

454  {
455  int rows = GetSize(x);
456  int degree = GetTetDegree(rows);
457  return GetTetZDerivativeOfMonomialVandermonde(x, y, z, degree);
458  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetTetDegree
int GetTetDegree(int nBasisFunc)
Definition: StdExpUtil.cpp:222
Nektar::StdRegions::GetTetZDerivativeOfMonomialVandermonde
NekMatrix< NekDouble > GetTetZDerivativeOfMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y, const NekVector< NekDouble > &z)
Definition: StdExpUtil.cpp:452
NekMatrix< NekDouble > Nektar::StdRegions::GetTranspose ( const NekMatrix< NekDouble > &  matA)

Definition at line 96 of file StdExpUtil.cpp.

97  {
98  int rows = matA.GetRows(), columns = matA.GetColumns();
99  NekMatrix<NekDouble> matX(rows,columns);
100 
101  for( int i=0; i<rows; ++i )
102  {
103  for( int j=0; j<columns; ++j )
104  {
105  matX(j,i) = matA(i,j);
106  }
107  }
108  return matX;
109  }
int Nektar::StdRegions::GetTriNumPoints ( int  degree)

Definition at line 202 of file StdExpUtil.cpp.

Referenced by GetDegree().

203  {
204  return (degree+1) * (degree+2) / 2;
205  }
NekMatrix< NekDouble > Nektar::StdRegions::GetXDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
int  degree 
)

Definition at line 298 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetXDerivativeOfMonomialVandermonde().

299  {
300  int rows = GetSize(x);
301  int cols = (degree + 1) * (degree + 2) / 2;
302  NekMatrix<NekDouble> matVx(rows, cols, 0.0);
303 
304  for(int d=0, n=0; d <= degree; ++d)
305  {
306  for(int p=0; p <= d; ++p, ++n)
307  {
308  int q = d - p;
309 
310  if(p > 0)
311  {
312  for(int i=0; i<rows; ++i)
313  {
314  matVx(i, n) = p * pow(x[i], p-1.0) * pow(y[i],q);
315  }
316  }
317  else
318  {
319  for(int j=0; j<rows; ++j)
320  {
321  matVx(j, n) = 0.0;
322  }
323  }
324  }
325  }
326  return matVx;
327  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetXDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y 
)

Definition at line 329 of file StdExpUtil.cpp.

References GetDegree(), GetSize(), and GetXDerivativeOfMonomialVandermonde().

330  {
331  int rows = GetSize(x);
332  int degree = GetDegree(rows);
333  return GetXDerivativeOfMonomialVandermonde(x, y, degree);
334  }
Nektar::StdRegions::GetDegree
int GetDegree(int nBasisFunctions)
Definition: StdExpUtil.cpp:207
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetXDerivativeOfMonomialVandermonde
NekMatrix< NekDouble > GetXDerivativeOfMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
Definition: StdExpUtil.cpp:329
NekMatrix< NekDouble > Nektar::StdRegions::GetYDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y,
int  degree 
)

Definition at line 460 of file StdExpUtil.cpp.

References GetSize().

Referenced by GetYDerivativeOfMonomialVandermonde().

461  {
462  int rows = GetSize(x);
463  int cols = (degree + 1) * (degree + 2) / 2;
464  NekMatrix<NekDouble> matVy(rows, cols, 0.0);
465 
466  for(int d=0, n=0; d <= degree; ++d)
467  {
468  for(int p=0; p <= d; ++p, ++n)
469  {
470  int q = d - p;
471  if(q > 0)
472  {
473  for(int i=0; i<rows; ++i)
474  {
475  matVy(i, n) = q * pow(x[i], p) * pow(y[i], q-1.0);
476  }
477  }
478  else
479  {
480  for(int j=0; j<rows; ++j)
481  {
482  matVy(j, n) = 0.0;
483  }
484  }
485  }
486  }
487  return matVy;
488  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::GetYDerivativeOfMonomialVandermonde ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y 
)

Definition at line 490 of file StdExpUtil.cpp.

References GetDegree(), GetSize(), and GetYDerivativeOfMonomialVandermonde().

491  {
492  int rows = GetSize(x);
493  int degree = GetDegree(rows);
494  return GetYDerivativeOfMonomialVandermonde(x, y, degree);
495  }
Nektar::StdRegions::GetDegree
int GetDegree(int nBasisFunctions)
Definition: StdExpUtil.cpp:207
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
Nektar::StdRegions::GetYDerivativeOfMonomialVandermonde
NekMatrix< NekDouble > GetYDerivativeOfMonomialVandermonde(const NekVector< NekDouble > &x, const NekVector< NekDouble > &y)
Definition: StdExpUtil.cpp:490
NekVector< NekDouble > Nektar::StdRegions::Hadamard ( const NekVector< NekDouble > &  x,
const NekVector< NekDouble > &  y 
)

Definition at line 131 of file StdExpUtil.cpp.

References GetSize().

132  {
133  int size = GetSize(x);
134  NekVector<NekDouble> z(size);
135 
136  for( int i=0; i<size; ++i )
137  {
138  z[i] = x[i] * y[i];
139  }
140  return z;
141  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekMatrix< NekDouble > Nektar::StdRegions::Invert ( const NekMatrix< NekDouble > &  matA)

Definition at line 79 of file StdExpUtil.cpp.

References GetE(), SetColumn(), and Nektar::LinearSystem::Solve().

80  {
81  int rows = matA.GetRows(), columns = matA.GetColumns();
82  NekMatrix<NekDouble> matX(rows,columns);
83 
84  // The linear system solver
85  LinearSystem<NekMatrix<NekDouble> > matL( SharedNekMatrixPtr(new NekMatrix<NekDouble>(matA)) );
86 
87  // Solve each column for the identity matrix
88  for( int j=0; j<columns; ++j )
89  {
90  SetColumn( matX, j, matL.Solve( GetE(rows,j) ) );
91  }
92 
93  return matX;
94  }
Nektar::StdRegions::SetColumn
NekMatrix< NekDouble > & SetColumn(NekMatrix< NekDouble > &matA, int n, const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:62
Nektar::StdRegions::GetE
NekVector< NekDouble > GetE(int rows, int n)
Definition: StdExpUtil.cpp:72
Nektar::SharedNekMatrixPtr
boost::shared_ptr< NekMatrix< NekDouble, StandardMatrixTag > > SharedNekMatrixPtr
Definition: NekMatrixFwd.hpp:71
NekDouble Nektar::StdRegions::MakeRound ( NekDouble  x)

Definition at line 231 of file StdExpUtil.cpp.

Referenced by GetDegree(), GetTetDegree(), MatrixToString(), and VectorToString().

232  {
233  return floor(x + 0.5);
234  }
std::string Nektar::StdRegions::MatrixToString ( const NekMatrix< NekDouble > &  A,
int  precision,
NekDouble  expSigFigs 
)

Definition at line 157 of file StdExpUtil.cpp.

References MakeRound().

158  {
159  stringstream s;
160  s << setprecision(precision);
161  int M = int(A.GetRows()), N = int(A.GetColumns());
162 
163  for(int i=0; i<M; ++i )
164  {
165  for(int j=0; j<N; ++j)
166  {
167  NekDouble a = MakeRound(expSigFigs * A(i, j)) / expSigFigs;
168  s << setw(7) << right << a;
169  if( j < N-1 )
170  {
171  s << ", ";
172  }
173  }
174  if( i < M-1 )
175  {
176  s << "\n";
177  }
178  }
179  return s.str();
180  }
Nektar::StdRegions::MakeRound
NekDouble MakeRound(NekDouble x)
Definition: StdExpUtil.cpp:231
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
bool Nektar::StdRegions::operator< ( const IndexMapKey &  lhs,
const IndexMapKey &  rhs 
)

Definition at line 90 of file IndexMapKey.cpp.

References Nektar::StdRegions::IndexMapKey::m_entityID, Nektar::StdRegions::IndexMapKey::m_indexMapType, Nektar::StdRegions::IndexMapKey::m_orientation, Nektar::StdRegions::IndexMapKey::m_p, Nektar::StdRegions::IndexMapKey::m_q, Nektar::StdRegions::IndexMapKey::m_r, and Nektar::StdRegions::IndexMapKey::m_shapeType.

91  {
92  if(lhs.m_indexMapType < rhs.m_indexMapType)
93  {
94  return true;
95  }
96 
97  if(lhs.m_indexMapType > rhs.m_indexMapType)
98  {
99  return false;
100  }
101 
102  if(lhs.m_shapeType < rhs.m_shapeType)
103  {
104  return true;
105  }
106  if(lhs.m_shapeType > rhs.m_shapeType)
107  {
108  return false;
109  }
110 
111  if(lhs.m_p < rhs.m_p)
112  {
113  return true;
114  }
115  if(lhs.m_p > rhs.m_p)
116  {
117  return false;
118  }
119 
120  if(lhs.m_q < rhs.m_q)
121  {
122  return true;
123  }
124  if(lhs.m_q > rhs.m_q)
125  {
126  return false;
127  }
128 
129  if(lhs.m_r < rhs.m_r)
130  {
131  return true;
132  }
133  if(lhs.m_r > rhs.m_r)
134  {
135  return false;
136  }
137 
138  if(lhs.m_entityID < rhs.m_entityID)
139  {
140  return true;
141  }
142  if(lhs.m_entityID > rhs.m_entityID)
143  {
144  return false;
145  }
146 
147  if(lhs.m_orientation < rhs.m_orientation)
148  {
149  return true;
150  }
151  if(lhs.m_orientation > rhs.m_orientation)
152  {
153  return false;
154  }
155 
156  return false;
157  }
Nektar::lhs
StandardMatrixTag & lhs
Definition: MatrixOperations.cpp:96
bool Nektar::StdRegions::operator< ( const StdMatrixKey &  lhs,
const StdMatrixKey &  rhs 
)

Definition at line 102 of file StdMatrixKey.cpp.

References Nektar::StdRegions::StdMatrixKey::m_base, Nektar::StdRegions::StdMatrixKey::m_factors, Nektar::StdRegions::StdMatrixKey::m_matrixType, Nektar::StdRegions::StdMatrixKey::m_ncoeffs, Nektar::StdRegions::StdMatrixKey::m_nodalPointsType, Nektar::StdRegions::StdMatrixKey::m_shapeType, Nektar::StdRegions::StdMatrixKey::m_varcoeff_hashes, Nektar::StdRegions::StdMatrixKey::m_varcoeffs, and Nektar::LibUtilities::ShapeTypeDimMap.

103  {
104  if(lhs.m_matrixType < rhs.m_matrixType)
105  {
106  return true;
107  }
108 
109  if(lhs.m_matrixType > rhs.m_matrixType)
110  {
111  return false;
112  }
113 
114  if(lhs.m_ncoeffs < rhs.m_ncoeffs) // probably do not need this check since checking the m_base below?
115  {
116  return true;
117  }
118 
119  if(lhs.m_ncoeffs > rhs.m_ncoeffs)
120  {
121  return false;
122  }
123 
124  for(unsigned int i = 0; i < LibUtilities::ShapeTypeDimMap[lhs.m_shapeType]; ++i)
125  {
126  if(lhs.m_base[i].get() < rhs.m_base[i].get())
127  {
128  return true;
129  }
130 
131  if(lhs.m_base[i].get() > rhs.m_base[i].get())
132  {
133  return false;
134  }
135  }
136 
137  if(lhs.m_factors.size() < rhs.m_factors.size())
138  {
139  return true;
140  }
141  else if(lhs.m_factors.size() > rhs.m_factors.size())
142  {
143  return false;
144  }
145  else
146  {
147  ConstFactorMap::const_iterator x, y;
148  for(x = lhs.m_factors.begin(), y = rhs.m_factors.begin();
149  x != lhs.m_factors.end(); ++x, ++y)
150  {
151  if (x->second < y->second)
152  {
153  return true;
154  }
155  if (x->second > y->second)
156  {
157  return false;
158  }
159  }
160  }
161 
162  if(lhs.m_varcoeffs.size() < rhs.m_varcoeffs.size())
163  {
164  return true;
165  }
166 
167  if(lhs.m_varcoeffs.size() > rhs.m_varcoeffs.size())
168  {
169  return false;
170  }
171 
172  for (unsigned int i = 0; i < lhs.m_varcoeff_hashes.size(); ++i)
173  {
174  if(lhs.m_varcoeff_hashes[i] < rhs.m_varcoeff_hashes[i])
175  {
176  return true;
177  }
178  if(lhs.m_varcoeff_hashes[i] > rhs.m_varcoeff_hashes[i])
179  {
180  return false;
181  }
182  }
183 
184  if(lhs.m_nodalPointsType < rhs.m_nodalPointsType)
185  {
186  return true;
187  }
188 
189  if(lhs.m_nodalPointsType > rhs.m_nodalPointsType)
190  {
191  return false;
192  }
193 
194  return false;
195  }
Nektar::lhs
StandardMatrixTag & lhs
Definition: MatrixOperations.cpp:96
Nektar::LibUtilities::ShapeTypeDimMap
const unsigned int ShapeTypeDimMap[SIZE_ShapeType]
Definition: ShapeType.hpp:81
std::ostream & Nektar::StdRegions::operator<< ( std::ostream &  os,
const IndexMapKey &  rhs 
)

Definition at line 199 of file IndexMapKey.cpp.

References Nektar::StdRegions::IndexMapKey::GetIndexMapType(), and IndexMapTypeMap.

200  {
201  os << "IndexMapType: " << IndexMapTypeMap[rhs.GetIndexMapType()]
202  << std::endl;
203  return os;
204  }
Nektar::StdRegions::IndexMapTypeMap
const char *const IndexMapTypeMap[]
Definition: StdRegions.hpp:264
std::ostream & Nektar::StdRegions::operator<< ( std::ostream &  os,
const StdMatrixKey &  rhs 
)

Definition at line 278 of file StdMatrixKey.cpp.

References ConstFactorTypeMap, Nektar::StdRegions::StdMatrixKey::GetBase(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetNcoeffs(), Nektar::StdRegions::StdMatrixKey::GetShapeType(), Nektar::StdRegions::StdMatrixKey::GetVarCoeffHashes(), Nektar::StdRegions::StdMatrixKey::GetVarCoeffs(), MatrixTypeMap, Nektar::LibUtilities::ShapeTypeDimMap, Nektar::LibUtilities::ShapeTypeMap, and VarCoeffTypeMap.

279  {
280  os << "MatrixType: " << MatrixTypeMap[rhs.GetMatrixType()] << ", ShapeType: "
281  << LibUtilities::ShapeTypeMap[rhs.GetShapeType()] << ", Ncoeffs: " << rhs.GetNcoeffs()
282  << std::endl;
283 
284  if(rhs.GetConstFactors().size())
285  {
286  os << "Constants: " << endl;
287  ConstFactorMap::const_iterator x;
288  for(x = rhs.GetConstFactors().begin(); x != rhs.GetConstFactors().end(); ++x)
289  {
290  os << "\t value " << ConstFactorTypeMap[x->first] <<" : " << x->second << endl;
291  }
292  }
293  if(rhs.GetVarCoeffs().size())
294  {
295  os << "Variable coefficients: " << endl;
296  VarCoeffMap::const_iterator x;
297  unsigned int i = 0;
298  for (x = rhs.GetVarCoeffs().begin(); x != rhs.GetVarCoeffs().end(); ++x)
299  {
300  os << "\t Coeff defined: " << VarCoeffTypeMap[x->first] << endl;
301  os << "\t Hash: " << rhs.GetVarCoeffHashes()[i++] << endl;
302  }
303  }
304 
305  for(unsigned int i = 0; i < LibUtilities::ShapeTypeDimMap[rhs.GetShapeType()]; ++i)
306  {
307  os << rhs.GetBase()[i]->GetBasisKey();
308  }
309 
310  return os;
311  }
Nektar::StdRegions::ConstFactorTypeMap
const char *const ConstFactorTypeMap[]
Definition: StdRegions.hpp:241
Nektar::LibUtilities::ShapeTypeMap
const char *const ShapeTypeMap[]
Definition: ShapeType.hpp:66
Nektar::StdRegions::MatrixTypeMap
const char *const MatrixTypeMap[]
Definition: StdRegions.hpp:152
Nektar::StdRegions::VarCoeffTypeMap
const char *const VarCoeffTypeMap[]
Definition: StdRegions.hpp:213
Nektar::LibUtilities::ShapeTypeDimMap
const unsigned int ShapeTypeDimMap[SIZE_ShapeType]
Definition: ShapeType.hpp:81
bool Nektar::StdRegions::operator== ( const IndexMapKey &  lhs,
const IndexMapKey &  rhs 
)

Definition at line 159 of file IndexMapKey.cpp.

References Nektar::StdRegions::IndexMapKey::m_entityID, Nektar::StdRegions::IndexMapKey::m_indexMapType, Nektar::StdRegions::IndexMapKey::m_orientation, Nektar::StdRegions::IndexMapKey::m_p, Nektar::StdRegions::IndexMapKey::m_q, Nektar::StdRegions::IndexMapKey::m_r, and Nektar::StdRegions::IndexMapKey::m_shapeType.

160  {
161  if(lhs.m_indexMapType != rhs.m_indexMapType)
162  {
163  return false;
164  }
165 
166  if(lhs.m_shapeType != rhs.m_shapeType)
167  {
168  return false;
169  }
170 
171  if(lhs.m_p != rhs.m_p)
172  {
173  return false;
174  }
175 
176  if(lhs.m_q != rhs.m_q)
177  {
178  return false;
179  }
180 
181  if(lhs.m_r != rhs.m_r)
182  {
183  return false;
184  }
185 
186  if(lhs.m_entityID != rhs.m_entityID)
187  {
188  return false;
189  }
190 
191  if(lhs.m_orientation != rhs.m_orientation)
192  {
193  return false;
194  }
195 
196  return true;
197  }
Nektar::lhs
StandardMatrixTag & lhs
Definition: MatrixOperations.cpp:96
bool Nektar::StdRegions::operator== ( const StdMatrixKey &  lhs,
const StdMatrixKey &  rhs 
)

Definition at line 197 of file StdMatrixKey.cpp.

References Nektar::StdRegions::StdMatrixKey::m_base, Nektar::StdRegions::StdMatrixKey::m_factors, Nektar::StdRegions::StdMatrixKey::m_matrixType, Nektar::StdRegions::StdMatrixKey::m_ncoeffs, Nektar::StdRegions::StdMatrixKey::m_nodalPointsType, Nektar::StdRegions::StdMatrixKey::m_shapeType, Nektar::StdRegions::StdMatrixKey::m_varcoeff_hashes, Nektar::StdRegions::StdMatrixKey::m_varcoeffs, and Nektar::LibUtilities::ShapeTypeDimMap.

198  {
199  if(lhs.m_matrixType != rhs.m_matrixType)
200  {
201  return false;
202  }
203 
204  if(lhs.m_ncoeffs != rhs.m_ncoeffs)
205  {
206  return false;
207  }
208 
209  for(unsigned int i = 0; i < LibUtilities::ShapeTypeDimMap[lhs.m_shapeType]; ++i)
210  {
211  if(lhs.m_base[i].get() != rhs.m_base[i].get())
212  {
213  return false;
214  }
215  }
216 
217  if(lhs.m_factors.size() != rhs.m_factors.size())
218  {
219  return false;
220  }
221  else
222  {
223  ConstFactorMap::const_iterator x, y;
224  for(x = lhs.m_factors.begin(), y = rhs.m_factors.begin();
225  x != lhs.m_factors.end(); ++x, ++y)
226  {
227  if (x->second != y->second)
228  {
229  return false;
230  }
231  }
232  }
233 
234  if(lhs.m_nodalPointsType != rhs.m_nodalPointsType)
235  {
236  return false;
237  }
238 
239  if(lhs.m_varcoeffs.size() != rhs.m_varcoeffs.size())
240  {
241  return false;
242  }
243 
244  for (unsigned int i = 0; i < lhs.m_varcoeff_hashes.size(); ++i)
245  {
246  if(lhs.m_varcoeff_hashes[i] != rhs.m_varcoeff_hashes[i])
247  {
248  return false;
249  }
250  }
251 
252  VarCoeffMap::const_iterator x;
253  for (x = lhs.m_varcoeffs.begin(); x != lhs.m_varcoeffs.end(); ++x)
254  {
255  VarCoeffMap::const_iterator y;
256  // Check var coeff is found
257  if ((y = rhs.m_varcoeffs.find(x->first)) == rhs.m_varcoeffs.end())
258  {
259  return false;
260  }
261 
262  if (x->second != y->second)
263  {
264  return false;
265  }
266  }
267  for (unsigned int i = 0; i < lhs.m_varcoeffs.size(); ++i)
268  {
269  if(lhs.m_varcoeff_hashes[i] != rhs.m_varcoeff_hashes[i])
270  {
271  return false;
272  }
273  }
274 
275  return true;
276  }
Nektar::lhs
StandardMatrixTag & lhs
Definition: MatrixOperations.cpp:96
Nektar::LibUtilities::ShapeTypeDimMap
const unsigned int ShapeTypeDimMap[SIZE_ShapeType]
Definition: ShapeType.hpp:81
NekMatrix< NekDouble > & Nektar::StdRegions::SetColumn ( NekMatrix< NekDouble > &  matA,
int  n,
const NekVector< NekDouble > &  x 
)

Definition at line 62 of file StdExpUtil.cpp.

Referenced by Invert().

63  {
64  for( int i=0; i<int(matA.GetRows()); ++i )
65  {
66  matA(i,n) = x[i];
67  }
68  return matA;
69  }
Array< OneD, NekDouble > Nektar::StdRegions::ToArray ( const NekVector< NekDouble > &  x)

Definition at line 126 of file StdExpUtil.cpp.

References Nektar::NekVector< DataType >::GetPtr(), and GetSize().

127  {
128  return Array<OneD, NekDouble>( GetSize(x), x.GetPtr() );
129  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekVector<NekDouble> Nektar::StdRegions::ToVector ( const Array< OneD, const NekDouble > &  x)

Definition at line 121 of file NodalUtil.cpp.

References Nektar::LibUtilities::GetSize().

122  {
123  return NekVector<NekDouble>( GetSize(x), x.data() );
124  }
Nektar::LibUtilities::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: NodalUtil.cpp:116
NekVector<NekDouble> Nektar::StdRegions::ToVector ( const ConstArray< OneD, NekDouble > &  x)

Definition at line 121 of file StdExpUtil.cpp.

References GetSize().

122  {
123  return NekVector<NekDouble>( GetSize(x), x.data() );
124  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
NekVector< NekDouble > Nektar::StdRegions::VectorPower ( const NekVector< NekDouble > &  x,
NekDouble  p 
)

Definition at line 143 of file StdExpUtil.cpp.

References GetSize().

144  {
145  int size = GetSize(x);
146  NekVector<NekDouble> z(size);
147 
148  for( int i=0; i<size; ++i )
149  {
150  z[i] = pow( x[i], p );
151  }
152 
153  return z;
154  }
Nektar::StdRegions::GetSize
int GetSize(const NekVector< NekDouble > &x)
Definition: StdExpUtil.cpp:116
std::string Nektar::StdRegions::VectorToString ( const NekVector< NekDouble > &  v,
int  precision,
NekDouble  expSigFigs 
)

Definition at line 183 of file StdExpUtil.cpp.

References Nektar::NekVector< DataType >::GetRows(), and MakeRound().

184  {
185  stringstream s;
186  s << setprecision(precision) << "[ ";
187  int N = int(v.GetRows());
188  for(int j=0; j<N; ++j )
189  {
190  NekDouble x = MakeRound(expSigFigs * v(j)) / expSigFigs;
191  s << setw(7) << right << x;
192  if( j < N-1 )
193  {
194  s << ", ";
195  }
196  }
197  s << " ]";
198  return s.str();
199  }
Nektar::StdRegions::MakeRound
NekDouble MakeRound(NekDouble x)
Definition: StdExpUtil.cpp:231
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44

Variable Documentation

const char* const Nektar::StdRegions::ConstFactorTypeMap[]
Initial value:
= {
"FactorLambda",
"FactorTau",
"FactorTime",
"FactorSVVCutoffRatio",
"FactorSVVDiffCoeff",
"FactorGaussVertex",
"FactorGaussEdge",
"FactorConstant"
}

Definition at line 241 of file StdRegions.hpp.

Referenced by Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::MultiRegions::operator<<(), and operator<<().

const char* const Nektar::StdRegions::ElementTypeMap[]
Initial value:
=
{
"StdSegExp",
"SegExp",
"StdQuadExp",
"StdTriExp",
"StdNodalTriExp",
"QuadExp",
"TriExp",
"NodalTriExp",
"StdHexExp",
"StdPrismExp",
"StdPyrExp",
"StdTetExp",
"StdNodalTetExp",
"HexExp",
"PrismExp",
"PyrExp",
"TetExp",
"NodalTetExp",
}

Definition at line 76 of file StdRegions.hpp.

const char* const Nektar::StdRegions::IndexMapTypeMap[]
Initial value:
=
{
"EdgeToElement",
"FaceToElement",
"EdgeInterior",
"FaceInterior",
"Boundary",
"Vertex"
}

Definition at line 264 of file StdRegions.hpp.

Referenced by operator<<().

const char* const Nektar::StdRegions::MatrixTypeMap[]

Definition at line 152 of file StdRegions.hpp.

Referenced by Nektar::MultiRegions::operator<<(), and operator<<().

ConstFactorMap Nektar::StdRegions::NullConstFactorMap
static

Definition at line 252 of file StdRegions.hpp.

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::LocalRegions::NodalTriExp::FwdTrans(), Nektar::StdRegions::StdNodalPrismExp::ModalToNodal(), Nektar::StdRegions::StdNodalTetExp::ModalToNodal(), Nektar::StdRegions::StdNodalTriExp::ModalToNodal(), Nektar::StdRegions::StdNodalPrismExp::NodalToModal(), Nektar::StdRegions::StdNodalTetExp::NodalToModal(), Nektar::StdRegions::StdNodalTriExp::NodalToModal(), Nektar::StdRegions::StdNodalPrismExp::NodalToModalTranspose(), Nektar::StdRegions::StdNodalTetExp::NodalToModalTranspose(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), Nektar::LocalRegions::Expansion2D::v_AddRobinEdgeContribution(), Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix(), Nektar::LocalRegions::Expansion2D::v_AddRobinMassMatrix(), Nektar::StdRegions::StdNodalTetExp::v_FwdTrans(), Nektar::StdRegions::StdNodalPrismExp::v_FwdTrans(), Nektar::StdRegions::StdNodalTriExp::v_FwdTrans(), and Nektar::LocalRegions::Expansion2D::v_GenMatrix().

VarCoeffMap Nektar::StdRegions::NullVarCoeffMap
static

Definition at line 227 of file StdRegions.hpp.

Referenced by Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::LocalRegions::NodalTriExp::FwdTrans(), Nektar::StdRegions::StdNodalTetExp::ModalToNodal(), Nektar::StdRegions::StdNodalPrismExp::ModalToNodal(), Nektar::StdRegions::StdNodalTriExp::ModalToNodal(), Nektar::StdRegions::StdNodalPrismExp::NodalToModal(), Nektar::StdRegions::StdNodalTetExp::NodalToModal(), Nektar::StdRegions::StdNodalTriExp::NodalToModal(), Nektar::StdRegions::StdNodalTetExp::NodalToModalTranspose(), Nektar::StdRegions::StdNodalPrismExp::NodalToModalTranspose(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), Nektar::StdRegions::StdNodalTetExp::v_FwdTrans(), Nektar::StdRegions::StdNodalPrismExp::v_FwdTrans(), and Nektar::StdRegions::StdNodalTriExp::v_FwdTrans().

const char* const Nektar::StdRegions::OrientationMap[]
Initial value:
=
{
"NoOrientation",
"Fwd",
"Bwd",
"Forwards",
"Backwards",
"Dir1FwdDir1_Dir2FwdDir2",
"Dir1FwdDir1_Dir2BwdDir2",
"Dir1BwdDir1_Dir2FwdDir2",
"Dir1BwdDir1_Dir2BwdDir2",
"Dir1FwdDir2_Dir2FwdDir1",
"Dir1FwdDir2_Dir2BwdDir1",
"Dir1BwdDir2_Dir2FwdDir1",
"Dir1BwdDir2_Dir2BwdDir1"
}

Definition at line 292 of file StdRegions.hpp.

const char* const Nektar::StdRegions::VarCoeffTypeMap[]
Initial value:
= {
"VarCoeffMass",
"VarCoeffLaplacian",
"VarCoeffWeakDeriv",
"VarCoeffD00",
"VarCoeffD11",
"VarCoeffD22",
"VarCoeffD01",
"VarCoeffD02",
"VarCoeffD12",
"VarCoeffVelX",
"VarCoeffVelY"
}

Definition at line 213 of file StdRegions.hpp.

Referenced by Nektar::StdRegions::StdMatrixKey::GetVarCoeff(), and operator<<().

Generated on Fri Sep 9 2016 12:03:42 for Nektar++ by   doxygen 1.8.8