Intrepid2
Intrepid2_OrientationTools.hpp
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1 // @HEADER
2 // *****************************************************************************
3 // Intrepid2 Package
4 //
5 // Copyright 2007 NTESS and the Intrepid2 contributors.
6 // SPDX-License-Identifier: BSD-3-Clause
7 // *****************************************************************************
8 // @HEADER
9 
15 #ifndef __INTREPID2_ORIENTATIONTOOLS_HPP__
16 #define __INTREPID2_ORIENTATIONTOOLS_HPP__
17 
18 #include "Intrepid2_ConfigDefs.hpp"
19 #include "Intrepid2_Types.hpp"
20 #include "Intrepid2_Utils.hpp"
21 
22 #include "Shards_CellTopology.hpp"
23 #include "Shards_BasicTopologies.hpp"
24 
25 #include "Intrepid2_PointTools.hpp"
26 
27 #include "Intrepid2_Basis.hpp"
28 
29 // -- HGRAD family
30 #include "Intrepid2_HGRAD_LINE_Cn_FEM.hpp"
31 #include "Intrepid2_HGRAD_QUAD_Cn_FEM.hpp"
32 #include "Intrepid2_HGRAD_HEX_Cn_FEM.hpp"
33 
34 #include "Intrepid2_HGRAD_TRI_Cn_FEM.hpp"
35 #include "Intrepid2_HGRAD_TET_Cn_FEM.hpp"
36 
37 // -- HCURL family
38 #include "Intrepid2_HCURL_QUAD_In_FEM.hpp"
39 #include "Intrepid2_HCURL_HEX_In_FEM.hpp"
40 
41 #include "Intrepid2_HCURL_TRI_In_FEM.hpp"
42 #include "Intrepid2_HCURL_TET_In_FEM.hpp"
43 #include "Intrepid2_HVOL_LINE_Cn_FEM.hpp"
44 
45 // -- HDIV family
46 #include "Intrepid2_HDIV_QUAD_In_FEM.hpp"
47 #include "Intrepid2_HDIV_HEX_In_FEM.hpp"
48 
49 #include "Intrepid2_HDIV_TRI_In_FEM.hpp"
50 #include "Intrepid2_HDIV_TET_In_FEM.hpp"
51 #include "Intrepid2_HVOL_TRI_Cn_FEM.hpp"
52 
53 // -- Lower order family
54 #include "Intrepid2_HCURL_QUAD_I1_FEM.hpp"
55 #include "Intrepid2_HCURL_TRI_I1_FEM.hpp"
56 
57 #include "Intrepid2_HDIV_QUAD_I1_FEM.hpp"
58 #include "Intrepid2_HDIV_TRI_I1_FEM.hpp"
59 
60 #include "Intrepid2_HCURL_HEX_I1_FEM.hpp"
61 #include "Intrepid2_HCURL_TET_I1_FEM.hpp"
62 #include "Intrepid2_HCURL_WEDGE_I1_FEM.hpp"
63 
64 #include "Intrepid2_HDIV_HEX_I1_FEM.hpp"
65 #include "Intrepid2_HDIV_TET_I1_FEM.hpp"
66 #include "Intrepid2_HDIV_WEDGE_I1_FEM.hpp"
67 
68 #include "Intrepid2_HierarchicalBasisFamily.hpp"
69 #include "Intrepid2_NodalBasisFamily.hpp"
70 
71 #include "Teuchos_LAPACK.hpp"
72 
73 
74 namespace Intrepid2 {
75 
76  namespace Impl {
77 
81  class OrientationTools {
82  public:
83 
84  // -----------------------------------------------------------------------------
85  // Point modification
86  //
87  //
88 
95  template<typename ValueType>
96  KOKKOS_INLINE_FUNCTION
97  static void
98  getModifiedLinePoint(ValueType &ot,
99  const ValueType pt,
100  const ordinal_type ort);
101 
110  template<typename ValueType>
111  KOKKOS_INLINE_FUNCTION
112  static void
113  getModifiedTrianglePoint(ValueType &ot0,
114  ValueType &ot1,
115  const ValueType pt0,
116  const ValueType pt1,
117  const ordinal_type ort);
118 
127  template<typename ValueType>
128  KOKKOS_INLINE_FUNCTION
129  static void
130  getModifiedQuadrilateralPoint(ValueType &ot0,
131  ValueType &ot1,
132  const ValueType pt0,
133  const ValueType pt1,
134  const ordinal_type ort);
135 
143  template<typename outPointViewType,
144  typename refPointViewType>
145  inline
146  static void
147  mapToModifiedReference(outPointViewType outPoints,
148  const refPointViewType refPoints,
149  const shards::CellTopology cellTopo,
150  const ordinal_type cellOrt = 0);
151 
159  template<typename outPointViewType,
160  typename refPointViewType>
161  KOKKOS_INLINE_FUNCTION
162  static void
163  mapToModifiedReference(outPointViewType outPoints,
164  const refPointViewType refPoints,
165  const unsigned cellTopoKey,
166  const ordinal_type cellOrt = 0);
167 
168 
174  template<typename JacobianViewType>
175  KOKKOS_INLINE_FUNCTION
176  static void
177  getLineJacobian(JacobianViewType jacobian, const ordinal_type ort);
178 
184  template<typename JacobianViewType>
185  KOKKOS_INLINE_FUNCTION
186  static void
187  getTriangleJacobian(JacobianViewType jacobian, const ordinal_type ort);
188 
194  template<typename JacobianViewType>
195  KOKKOS_INLINE_FUNCTION
196  static void
197  getQuadrilateralJacobian(JacobianViewType jacobian, const ordinal_type ort);
198 
199 
206  template<typename JacobianViewType>
207  inline
208  static void
209  getJacobianOfOrientationMap(JacobianViewType jacobian,
210  const shards::CellTopology cellTopo,
211  const ordinal_type cellOrt);
212 
219  template<typename JacobianViewType>
220  KOKKOS_INLINE_FUNCTION
221  static void
222  getJacobianOfOrientationMap(JacobianViewType jacobian,
223  const unsigned cellTopoKey,
224  const ordinal_type cellOrt);
225 
226 
234  template<typename TanViewType, typename ParamViewType>
235  KOKKOS_INLINE_FUNCTION
236  static void getRefSubcellTangents(TanViewType tangents,
237  const ParamViewType subCellParametrization,
238  const unsigned subcellTopoKey,
239  const ordinal_type subCellOrd,
240  const ordinal_type ort);
241 
242 
253  template<typename TanNormViewType, typename ParamViewType>
254  KOKKOS_INLINE_FUNCTION
255  static void getRefSideTangentsAndNormal(TanNormViewType tangentsAndNormal,
256  const ParamViewType subCellParametrization,
257  const unsigned subcellTopoKey,
258  const ordinal_type subCellOrd,
259  const ordinal_type ort);
260 
261 
271  template<typename coordsViewType, typename subcellCoordsViewType, typename ParamViewType>
272  KOKKOS_INLINE_FUNCTION
273  static void mapSubcellCoordsToRefCell(coordsViewType cellCoords,
274  const subcellCoordsViewType subCellCoords,
275  const ParamViewType subcellParametrization,
276  const unsigned subcellTopoKey,
277  const ordinal_type subCellOrd,
278  const ordinal_type ort);
279 
280  // -----------------------------------------------------------------------------
281  // Coefficient Matrix
282  //
283  //
284 
296  template<typename OutputViewType,
297  typename subcellBasisHostType,
298  typename cellBasisHostType>
299  inline
300  static void
301  getCoeffMatrix_HGRAD(OutputViewType &output,
302  const subcellBasisHostType& subcellBasis,
303  const cellBasisHostType& cellBasis,
304  const ordinal_type subcellId,
305  const ordinal_type subcellOrt,
306  const bool inverse = false);
307 
318  template<typename OutputViewType,
319  typename subcellBasisHostType,
320  typename cellBasisHostType>
321  inline
322  static void
323  getCoeffMatrix_HCURL(OutputViewType &output,
324  const subcellBasisHostType& subcellBasis,
325  const cellBasisHostType& cellBasis,
326  const ordinal_type subcellId,
327  const ordinal_type subcellOrt,
328  const bool inverse = false);
329 
330 
341  template<typename OutputViewType,
342  typename subcellBasisHostType,
343  typename cellBasisHostType>
344  inline
345  static void
346  getCoeffMatrix_HDIV(OutputViewType &output,
347  const subcellBasisHostType& subcellBasis,
348  const cellBasisHostType& cellBasis,
349  const ordinal_type subcellId,
350  const ordinal_type subcellOrt,
351  const bool inverse = false);
352 
353 
362  template<typename OutputViewType,
363  typename cellBasisHostType>
364  inline
365  static void
366  getCoeffMatrix_HVOL(OutputViewType &output,
367  const cellBasisHostType& cellBasis,
368  const ordinal_type cellOrt,
369  const bool inverse = false);
370 
371  };
372  }
373 
377  template<typename DeviceType>
378  class OrientationTools {
379  public:
380 
383  using CoeffMatrixDataViewType = Kokkos::View<double****,DeviceType>;
384 
385  //
388  using KeyType = std::pair<const std::string,ordinal_type>;
389  using OrtCoeffDataType = std::map<KeyType,Kokkos::View<double****,DeviceType> >;
390 
391  static OrtCoeffDataType ortCoeffData;
392  static OrtCoeffDataType ortInvCoeffData;
393 
394  private:
395 
396  template<typename BasisHostType>
397  inline
398  static CoeffMatrixDataViewType createCoeffMatrixInternal(const BasisHostType* basis, const bool invTrans = false);
399 
400 
403  template<typename BasisHostType>
404  inline
405  static void init_HGRAD(CoeffMatrixDataViewType matData,
406  BasisHostType const *cellBasis,
407  const bool inverse = false);
408 
411  template<typename BasisHostType>
412  inline
413  static void init_HCURL(CoeffMatrixDataViewType matData,
414  BasisHostType const *cellBasis,
415  const bool inverse = false);
416 
419  template<typename BasisHostType>
420  inline
421  static void init_HDIV(CoeffMatrixDataViewType matData,
422  BasisHostType const *cellBasis,
423  const bool inverse = false);
424 
427  template<typename BasisHostType>
428  inline
429  static void init_HVOL(CoeffMatrixDataViewType matData,
430  BasisHostType const *cellBasis,
431  const bool inverse = false);
432 
433  public:
434 
438  template<typename BasisType>
439  inline
440  static CoeffMatrixDataViewType createCoeffMatrix(const BasisType* basis);
441 
445  template<typename BasisType>
446  inline
447  static CoeffMatrixDataViewType createInvCoeffMatrix(const BasisType* basis);
448 
451  inline
452  static void clearCoeffMatrix();
453 
460  template<typename elemOrtValueType, class ...elemOrtProperties,
461  typename elemNodeValueType, class ...elemNodeProperties>
462  inline
463  static void
464  getOrientation(Kokkos::DynRankView<elemOrtValueType,elemOrtProperties...> elemOrts,
465  const Kokkos::DynRankView<elemNodeValueType,elemNodeProperties...> elemNodes,
466  const shards::CellTopology cellTopo,
467  bool isSide = false);
468 
469 
477  template<typename outputValueType, class ...outputProperties,
478  typename inputValueType, class ...inputProperties,
479  typename OrientationViewType,
480  typename BasisType>
481  inline
482  static void
483  modifyBasisByOrientation(Kokkos::DynRankView<outputValueType,outputProperties...> output,
484  const Kokkos::DynRankView<inputValueType, inputProperties...> input,
485  const OrientationViewType orts,
486  const BasisType * basis,
487  const bool transpose = false);
488 
495  template<typename outputValueType, class ...outputProperties,
496  typename inputValueType, class ...inputProperties,
497  typename OrientationViewType,
498  typename BasisType>
499  inline
500  static void
501  modifyBasisByOrientationTranspose(Kokkos::DynRankView<outputValueType,outputProperties...> output,
502  const Kokkos::DynRankView<inputValueType, inputProperties...> input,
503  const OrientationViewType orts,
504  const BasisType * basis);
505 
506 
514  template<typename outputValueType, class ...outputProperties,
515  typename inputValueType, class ...inputProperties,
516  typename OrientationViewType,
517  typename BasisType>
518  inline
519  static void
520  modifyBasisByOrientationInverse(Kokkos::DynRankView<outputValueType,outputProperties...> output,
521  const Kokkos::DynRankView<inputValueType, inputProperties...> input,
522  const OrientationViewType orts,
523  const BasisType * basis,
524  const bool transpose = false);
525 
526 
534  template<typename outputValueType, class ...outputProperties,
535  typename inputValueType, class ...inputProperties,
536  typename OrientationViewType,
537  typename BasisTypeLeft,
538  typename BasisTypeRight>
539  inline
540  static void
541  modifyMatrixByOrientation(Kokkos::DynRankView<outputValueType,outputProperties...> output,
542  const Kokkos::DynRankView<inputValueType, inputProperties...> input,
543  const OrientationViewType orts,
544  const BasisTypeLeft* basisLeft,
545  const BasisTypeRight* basisRight);
546  };
547 
548  //Definition of static members
549  template<typename T>
550  typename OrientationTools<T>::OrtCoeffDataType OrientationTools<T>::ortCoeffData;
551 
552  template<typename T>
553  typename OrientationTools<T>::OrtCoeffDataType OrientationTools<T>::ortInvCoeffData;
554 }
555 
556 // include templated function definitions
557 #include "Intrepid2_OrientationToolsDefModifyPoints.hpp"
558 #include "Intrepid2_OrientationToolsDefCoeffMatrix_HGRAD.hpp"
559 #include "Intrepid2_OrientationToolsDefCoeffMatrix_HCURL.hpp"
560 #include "Intrepid2_OrientationToolsDefCoeffMatrix_HDIV.hpp"
561 #include "Intrepid2_OrientationToolsDefCoeffMatrix_HVOL.hpp"
562 #include "Intrepid2_OrientationToolsDefMatrixData.hpp"
563 #include "Intrepid2_OrientationToolsDefModifyBasis.hpp"
564 
565 #endif
Intrepid2::Impl::OrientationTools::getModifiedLinePoint
static KOKKOS_INLINE_FUNCTION void getModifiedLinePoint(ValueType &ot, const ValueType pt, const ordinal_type ort)
Computes modified point for line segment.
Intrepid2_HierarchicalBasisFamily.hpp
Stateless classes that act as factories for two families of hierarchical bases. HierarchicalBasisFami...
Intrepid2_HGRAD_LINE_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HGRAD_LINE_Cn_FEM class.
Intrepid2::Impl::OrientationTools::getCoeffMatrix_HGRAD
static void getCoeffMatrix_HGRAD(OutputViewType &output, const subcellBasisHostType &subcellBasis, const cellBasisHostType &cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt, const bool inverse=false)
Compute orientation matrix for HGRAD basis for a given subcell and its reference basis.
Definition: Intrepid2_OrientationToolsDefCoeffMatrix_HGRAD.hpp:102
Intrepid2_HDIV_TET_I1_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_TET_I1_FEM class.
Intrepid2_HCURL_HEX_In_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_HEX_In_FEM class.
Intrepid2::Impl::OrientationTools::getModifiedQuadrilateralPoint
static KOKKOS_INLINE_FUNCTION void getModifiedQuadrilateralPoint(ValueType &ot0, ValueType &ot1, const ValueType pt0, const ValueType pt1, const ordinal_type ort)
Computes modified point for quadrilateral.
Intrepid2_HDIV_HEX_I1_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_HEX_I1_FEM class.
Intrepid2_HDIV_WEDGE_I1_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_WEDGE_I1_FEM class.
Intrepid2::Impl::OrientationTools::mapSubcellCoordsToRefCell
static KOKKOS_INLINE_FUNCTION void mapSubcellCoordsToRefCell(coordsViewType cellCoords, const subcellCoordsViewType subCellCoords, const ParamViewType subcellParametrization, const unsigned subcellTopoKey, const ordinal_type subCellOrd, const ordinal_type ort)
Maps points defined on the subCell manifold into the parent Cell accounting for orientation.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:392
Intrepid2_OrientationToolsDefModifyBasis.hpp
Definition file for the Intrepid2::OrientationTools class.
Intrepid2::Impl::OrientationTools::getJacobianOfOrientationMap
static void getJacobianOfOrientationMap(JacobianViewType jacobian, const shards::CellTopology cellTopo, const ordinal_type cellOrt)
Computes jacobian of the parameterization maps of 1- and 2-subcells with orientation.
Intrepid2_HDIV_HEX_In_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_HEX_In_FEM class.
Intrepid2::Impl::OrientationTools::getCoeffMatrix_HCURL
static void getCoeffMatrix_HCURL(OutputViewType &output, const subcellBasisHostType &subcellBasis, const cellBasisHostType &cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt, const bool inverse=false)
Compute orientation matrix for HCURL basis for a given subcell and its reference basis.
Intrepid2_OrientationToolsDefCoeffMatrix_HDIV.hpp
Creation of orientation matrix A of a face or edge for HDIV elements.
Intrepid2::OrientationTools::clearCoeffMatrix
static void clearCoeffMatrix()
Clear coefficient matrix.
Definition: Intrepid2_OrientationToolsDefMatrixData.hpp:318
Intrepid2_Utils.hpp
Header function for Intrepid2::Util class and other utility functions.
Intrepid2::Impl::OrientationTools::getRefSubcellTangents
static KOKKOS_INLINE_FUNCTION void getRefSubcellTangents(TanViewType tangents, const ParamViewType subCellParametrization, const unsigned subcellTopoKey, const ordinal_type subCellOrd, const ordinal_type ort)
Computes the (oriented) subCell tangents.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:343
Intrepid2::OrientationTools::modifyMatrixByOrientation
static void modifyMatrixByOrientation(Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input, const OrientationViewType orts, const BasisTypeLeft *basisLeft, const BasisTypeRight *basisRight)
Modify an assembled (C,F1,F2) matrix according to orientation of the cells.
Definition: Intrepid2_OrientationToolsDefModifyBasis.hpp:436
Intrepid2_HGRAD_TRI_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HGRAD_TRI_Cn_FEM class.
Intrepid2_HVOL_LINE_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HVOL_LINE_Cn_FEM class.
Intrepid2_HDIV_QUAD_I1_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_QUAD_I1_FEM class.
Intrepid2_HCURL_TET_In_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_TET_In_FEM class.
Intrepid2_HGRAD_TET_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HGRAD_TET_Cn_FEM class.
Intrepid2::OrientationTools::init_HDIV
static void init_HDIV(CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
Compute orientation matrix for HDIV basis.
Intrepid2::OrientationTools::CoeffMatrixDataViewType
Kokkos::View< double ****, DeviceType > CoeffMatrixDataViewType
subcell ordinal, orientation, matrix m x n
Definition: Intrepid2_OrientationTools.hpp:383
Intrepid2_HDIV_TRI_I1_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_TRI_I1_FEM class.
Intrepid2::OrientationTools::modifyBasisByOrientation
static void modifyBasisByOrientation(Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input, const OrientationViewType orts, const BasisType *basis, const bool transpose=false)
Modify basis due to orientation.
Definition: Intrepid2_OrientationToolsDefModifyBasis.hpp:250
Intrepid2_HDIV_QUAD_In_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_QUAD_In_FEM class.
Intrepid2_HCURL_QUAD_In_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_QUAD_In_FEM class.
Intrepid2::Impl::OrientationTools::getModifiedTrianglePoint
static KOKKOS_INLINE_FUNCTION void getModifiedTrianglePoint(ValueType &ot0, ValueType &ot1, const ValueType pt0, const ValueType pt1, const ordinal_type ort)
Computes modified point for triangle.
Intrepid2::Impl::OrientationTools::getTriangleJacobian
static KOKKOS_INLINE_FUNCTION void getTriangleJacobian(JacobianViewType jacobian, const ordinal_type ort)
Computes Jacobian of orientation map for triangle.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:118
Intrepid2::Impl::OrientationTools::getLineJacobian
static KOKKOS_INLINE_FUNCTION void getLineJacobian(JacobianViewType jacobian, const ordinal_type ort)
Computes Jacobian of orientation map for line segment.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:58
Intrepid2::Impl::OrientationTools::getCoeffMatrix_HVOL
static void getCoeffMatrix_HVOL(OutputViewType &output, const cellBasisHostType &cellBasis, const ordinal_type cellOrt, const bool inverse=false)
Compute orientation matrix for HVOL basis for a given (2D or 1D) cell and its reference basis...
Definition: Intrepid2_OrientationToolsDefCoeffMatrix_HVOL.hpp:81
Intrepid2_HDIV_TRI_In_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_TRI_In_FEM class.
Intrepid2_Types.hpp
Contains definitions of custom data types in Intrepid2.
Intrepid2_HGRAD_QUAD_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HGRAD_QUAD_Cn_FEM class.
Intrepid2_OrientationToolsDefCoeffMatrix_HGRAD.hpp
Creation of orientation matrix A of a face or edge for HGRAD elements.
Intrepid2_HDIV_TET_In_FEM.hpp
Header file for the Intrepid2::Basis_HDIV_TET_In_FEM class.
Intrepid2_OrientationToolsDefCoeffMatrix_HVOL.hpp
Creation of orientation matrix A of a face or edge for HGRAD elements.
Intrepid2::OrientationTools::init_HGRAD
static void init_HGRAD(CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
Compute orientation matrix for HGRAD basis.
Intrepid2_OrientationToolsDefModifyPoints.hpp
Definition file for functions that modify points due to orientation in the Intrepid2::Impl::Orientati...
Intrepid2::Impl::OrientationTools::getCoeffMatrix_HDIV
static void getCoeffMatrix_HDIV(OutputViewType &output, const subcellBasisHostType &subcellBasis, const cellBasisHostType &cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt, const bool inverse=false)
Compute orientation matrix for HDIV basis for a given subcell and its reference basis.
Definition: Intrepid2_OrientationToolsDefCoeffMatrix_HDIV.hpp:142
Intrepid2_HCURL_QUAD_I1_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_QUAD_I1_FEM class.
Intrepid2_HCURL_WEDGE_I1_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_WEDGE_I1_FEM class.
Intrepid2::OrientationTools::getOrientation
static void getOrientation(Kokkos::DynRankView< elemOrtValueType, elemOrtProperties...> elemOrts, const Kokkos::DynRankView< elemNodeValueType, elemNodeProperties...> elemNodes, const shards::CellTopology cellTopo, bool isSide=false)
Compute orientations of cells in a workset.
Definition: Intrepid2_OrientationToolsDefModifyBasis.hpp:32
Intrepid2::OrientationTools::modifyBasisByOrientationTranspose
static void modifyBasisByOrientationTranspose(Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input, const OrientationViewType orts, const BasisType *basis)
Modify basis due to orientation, applying the transpose of the operator applied in modifyBasisByOrien...
Definition: Intrepid2_OrientationToolsDefModifyBasis.hpp:335
Intrepid2::Impl::OrientationTools
Tools to compute orientations for degrees-of-freedom.
Definition: Intrepid2_OrientationTools.hpp:81
Intrepid2_HCURL_TET_I1_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_TET_I1_FEM class.
Intrepid2::OrientationTools::createCoeffMatrix
static CoeffMatrixDataViewType createCoeffMatrix(const BasisType *basis)
Create coefficient matrix.
Intrepid2::Impl::OrientationTools::getQuadrilateralJacobian
static KOKKOS_INLINE_FUNCTION void getQuadrilateralJacobian(JacobianViewType jacobian, const ordinal_type ort)
Computes Jacobian of orientation map for quadrilateral.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:187
Intrepid2_HCURL_HEX_I1_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_HEX_I1_FEM class.
Intrepid2::Impl::OrientationTools::mapToModifiedReference
static void mapToModifiedReference(outPointViewType outPoints, const refPointViewType refPoints, const shards::CellTopology cellTopo, const ordinal_type cellOrt=0)
Computes modified parameterization maps of 1- and 2-subcells with orientation.
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:222
Intrepid2_OrientationToolsDefMatrixData.hpp
Definition file for matrix data in the Intrepid2::OrientationTools class.
Intrepid2::OrientationTools::KeyType
std::pair< const std::string, ordinal_type > KeyType
key :: basis name, order, value :: matrix data view type
Definition: Intrepid2_OrientationTools.hpp:388
Intrepid2::Impl::OrientationTools::getRefSideTangentsAndNormal
static KOKKOS_INLINE_FUNCTION void getRefSideTangentsAndNormal(TanNormViewType tangentsAndNormal, const ParamViewType subCellParametrization, const unsigned subcellTopoKey, const ordinal_type subCellOrd, const ordinal_type ort)
Computes the (oriented) tangents and normal of the side subCell The normals are only defined for side...
Definition: Intrepid2_OrientationToolsDefModifyPoints.hpp:367
Intrepid2_HCURL_TRI_I1_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_TRI_I1_FEM class.
Intrepid2::OrientationTools::init_HCURL
static void init_HCURL(CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
Compute orientation matrix for HCURL basis.
Intrepid2_HVOL_TRI_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HVOL_TRI_Cn_FEM class.
Intrepid2::OrientationTools::modifyBasisByOrientationInverse
static void modifyBasisByOrientationInverse(Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input, const OrientationViewType orts, const BasisType *basis, const bool transpose=false)
Modify basis due to orientation, applying the inverse of the operator applied in modifyBasisByOrienta...
Definition: Intrepid2_OrientationToolsDefModifyBasis.hpp:350
Intrepid2::OrientationTools::init_HVOL
static void init_HVOL(CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
Compute orientation matrix for HVOL basis.
Intrepid2::OrientationTools::createInvCoeffMatrix
static CoeffMatrixDataViewType createInvCoeffMatrix(const BasisType *basis)
Create inverse of coefficient matrix.
Intrepid2_NodalBasisFamily.hpp
Stateless class that acts as a factory for a family of nodal bases (hypercube topologies only at this...
Intrepid2_Basis.hpp
Header file for the abstract base class Intrepid2::Basis.
Intrepid2_HCURL_TRI_In_FEM.hpp
Header file for the Intrepid2::Basis_HCURL_TRI_In_FEM class.
Intrepid2_PointTools.hpp
Header file for Intrepid2::PointTools class to provide utilities for barycentric coordinates, equispaced lattices, and warp-blend point distrubtions.
Intrepid2::OrientationTools
Tools to compute orientations for degrees-of-freedom.
Definition: Intrepid2_OrientationTools.hpp:378
Intrepid2_HGRAD_HEX_Cn_FEM.hpp
Header file for the Intrepid2::Basis_HGRAD_HEX_Cn_FEM class.
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