1 // Copyright (C) 2007-2013 CEA/DEN, EDF R&D
3 // This library is free software; you can redistribute it and/or
4 // modify it under the terms of the GNU Lesser General Public
5 // License as published by the Free Software Foundation; either
6 // version 2.1 of the License.
8 // This library is distributed in the hope that it will be useful,
9 // but WITHOUT ANY WARRANTY; without even the implied warranty of
10 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
11 // Lesser General Public License for more details.
13 // You should have received a copy of the GNU Lesser General Public
14 // License along with this library; if not, write to the Free Software
15 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
20 #ifndef __SPLITTERTETRA_HXX__
21 #define __SPLITTERTETRA_HXX__
23 #include "TransformedTriangle.hxx"
24 #include "TetraAffineTransform.hxx"
25 #include "InterpolationOptions.hxx"
26 #include "InterpKernelException.hxx"
27 #include "InterpKernelHashMap.hxx"
28 #include "VectorUtils.hxx"
36 namespace INTERP_KERNEL
38 // Schema according to which the splitting is performed.
39 // Each line represents one tetrahedron. The numbering is as follows :
51 static const int SPLIT_NODES_5[20] = /* WHY not all well oriented ???? */
60 static const int SPLIT_NODES_5_WO[20] = /* WO for well oriented !!! normals of 3 first points are OUTSIDE the TETRA4 */
69 static const int SPLIT_NODES_6[24] = /* WHY all badly oriented ???? */
79 static const int SPLIT_NODES_6_WO[24] = /* WO for well oriented !!! normals of 3 first points are OUTSIDE the TETRA4 */
89 // Each sub-node is the barycenter of 4 other nodes.
90 // For the faces, these are on the orignal mesh.
91 // For the barycenter, the four face sub-nodes are used.
92 static const int GENERAL_24_SUB_NODES[28] =
94 0,1,4,5,// sub-node 8 (face)
95 0,1,2,3,// sub-node 9 (face)
96 0,3,4,7,// sub-node 10 (face)
97 1,2,5,6,// sub-node 11 (face)
98 4,5,6,7,// sub-node 12 (face)
99 2,3,6,7,// sub-node 13 (face)
100 8,9,10,11// sub-node 14 (cell)
103 static const int GENERAL_24_SUB_NODES_WO[28] =
105 0,4,5,1,// sub-node 8 (face)
106 0,1,2,3,// sub-node 9 (face)
107 0,3,7,4,// sub-node 10 (face)
108 1,5,6,2,// sub-node 11 (face)
109 4,7,6,5,// sub-node 12 (face)
110 2,6,7,3,// sub-node 13 (face)
111 8,9,10,11// sub-node 14 (cell)
114 static const int TETRA_EDGES_GENERAL_24[48] =
116 // face with center 8
121 // face with center 9
126 // face with center 10
131 // face with center 11
136 // face with center 12
141 // face with center 13
148 // Each sub-node is the barycenter of two other nodes.
149 // For the edges, these lie on the original mesh.
150 // For the faces, these are the edge sub-nodes.
151 // For the cell these are two face sub-nodes.
152 static const int GENERAL_48_SUB_NODES[38] =
154 0,1, // sub-node 8 (edge)
155 0,4, // sub-node 9 (edge)
156 1,5, // sub-node 10 (edge)
157 4,5, // sub-node 11 (edge)
158 0,3, // sub-node 12 (edge)
159 1,2, // sub-node 13 (edge)
160 4,7, // sub-node 14 (edge)
161 5,6, // sub-node 15 (edge)
162 2,3, // sub-node 16 (edge)
163 3,7, // sub-node 17 (edge)
164 2,6, // sub-node 18 (edge)
165 6,7, // sub-node 19 (edge)
166 8,11, // sub-node 20 (face)
167 12,13, // sub-node 21 (face)
168 9,17, // sub-node 22 (face)
169 10,18, // sub-node 23 (face)
170 14,15, // sub-node 24 (face)
171 16,19, // sub-node 25 (face)
172 20,25 // sub-node 26 (cell)
175 // Define 8 hexahedral subzones as in Grandy, p449
176 // the values correspond to the nodes that correspond to nodes 1,2,3,4,5,6,7,8 in the subcell
177 // For the correspondance of the nodes, see the GENERAL_48_SUB_NODES table in calculateSubNodes
178 static const int GENERAL_48_SUBZONES[64] =
180 0,8,21,12,9,20,26,22,
181 8,1,13,21,20,10,23,26,
182 12,21,16,3,22,26,25,17,
183 21,13,2,16,26,23,18,25,
184 9,20,26,22,4,11,24,14,
185 20,10,23,26,11,5,15,24,
186 22,26,25,17,14,24,19,7,
187 26,23,18,25,24,15,6,19
190 static const int GENERAL_48_SUBZONES_2[64] =
192 0,-1,-14,-5,-2,-13,-19,-15,
193 -1,1,-6,-14,-13,-3,-16,-19,
194 -5,-14,-9,3,-15,-19,-18,-10,
195 -14,-6,2,-9,-19,-16,-11,-18,
196 -2,-13,-19,-15,4,-4,-17,-7,
197 -13,-3,-16,-19,-4,5,-8,-17,
198 -15,-19,-18,-10,-7,-17,-12,7,
199 -19,-16,-11,-18,-17,-8,6,-12};
201 void SplitHexa8IntoTetras(SplittingPolicy policy, const int *nodalConnBg, const int *nodalConnEnd, const double *coords,
202 std::vector<int>& tetrasNodalConn, std::vector<double>& addCoords) throw(INTERP_KERNEL::Exception);
204 void SplitIntoTetras(SplittingPolicy policy, NormalizedCellType gt, const int *nodalConnBg, const int *nodalConnEnd, const double *coords,
205 std::vector<int>& tetrasNodalConn, std::vector<double>& addCoords) throw(INTERP_KERNEL::Exception);
208 * \brief Class representing a triangular face, used as key in caching hash map in SplitterTetra.
211 class TriangleFaceKey
217 * Sorts the given nodes (so that the order in which they are passed does not matter) and
218 * calculates a hash value for the key.
220 * @param node1 global number of the first node of the face
221 * @param node2 global number of the second node of the face
222 * @param node3 global number of the third node of the face
224 TriangleFaceKey(int node1, int node2, int node3)
226 Sort3Ints(_nodes, node1, node2, node3);
227 _hashVal = ( _nodes[0] + _nodes[1] + _nodes[2] ) % 29;
231 * Equality comparison operator.
232 * Compares this TriangleFaceKey object to another and determines if they represent the same face.
234 * @param key TriangleFaceKey with which to compare
235 * @return true if key has the same three nodes as this object, false if not
237 bool operator==(const TriangleFaceKey& key) const
239 return _nodes[0] == key._nodes[0] && _nodes[1] == key._nodes[1] && _nodes[2] == key._nodes[2];
243 * Less than operator.
245 * @param key TriangleFaceKey with which to compare
246 * @return true if this object has the three nodes less than the nodes of the key object, false if not
248 bool operator<(const TriangleFaceKey& key) const
250 for (int i = 0; i < 3; ++i)
252 if (_nodes[i] < key._nodes[i])
256 else if (_nodes[i] > key._nodes[i])
265 * Returns a hash value for the object, based on its three nodes.
266 * This value is not unique for each face.
268 * @return a hash value for the object
275 inline static void Sort3Ints(int* sorted, int node1, int node2, int node3);
278 /// global numbers of the three nodes, sorted in ascending order
281 /// hash value for the object, calculated in the constructor
286 * Method to sort three integers in ascending order
288 * @param sorted int[3] array in which to store the result
289 * @param x1 first integer
290 * @param x2 second integer
291 * @param x3 third integer
293 inline void TriangleFaceKey::Sort3Ints(int* sorted, int x1, int x2, int x3)
301 sorted[1] = x2 < x3 ? x2 : x3;
302 sorted[2] = x2 < x3 ? x3 : x2;
318 sorted[1] = x1 < x3 ? x1 : x3;
319 sorted[2] = x1 < x3 ? x3 : x1;
332 * \brief Template specialization of INTERP_KERNEL::hash<T> function object for use with a
333 * with TriangleFaceKey as key class.
336 template<> class hash<INTERP_KERNEL::TriangleFaceKey>
340 * Operator() that returns the precalculated hashvalue of a TriangleFaceKey object.
342 * @param key a TriangleFaceKey object
343 * @return an integer hash value for key
345 int operator()(const INTERP_KERNEL::TriangleFaceKey& key) const
347 return key.hashVal();
352 namespace INTERP_KERNEL
355 * \brief Class calculating the volume of intersection between a tetrahedral target element and
356 * source elements with triangular or quadratilateral faces.
359 template<class MyMeshType>
364 SplitterTetra(const MyMeshType& srcMesh, const double** tetraCorners, const typename MyMeshType::MyConnType *nodesId);
368 double intersectSourceCell(typename MyMeshType::MyConnType srcCell, double* baryCentre=0);
369 double intersectSourceFace(const NormalizedCellType polyType,
370 const int polyNodesNbr,
371 const int *const polyNodes,
372 const double *const *const polyCoords,
373 const double dimCaracteristic,
374 const double precision,
375 std::multiset<TriangleFaceKey>& listOfTetraFacesTreated,
376 std::set<TriangleFaceKey>& listOfTetraFacesColinear);
378 double intersectTetra(const double** tetraCorners);
380 typename MyMeshType::MyConnType getId(int id) { return _conn[id]; }
382 void splitIntoDualCells(SplitterTetra<MyMeshType> **output);
384 void splitMySelfForDual(double* output, int i, typename MyMeshType::MyConnType& nodeId);
386 void clearVolumesCache();
389 inline void checkIsOutside(const double* pt, bool* isOutside, const double errTol = DEFAULT_ABS_TOL) const;
390 inline void checkIsStrictlyOutside(const double* pt, bool* isStrictlyOutside, const double errTol = DEFAULT_ABS_TOL) const;
391 inline void calculateNode(typename MyMeshType::MyConnType globalNodeNum);
392 inline void calculateNode2(typename MyMeshType::MyConnType globalNodeNum, const double* node);
393 inline void calculateVolume(TransformedTriangle& tri, const TriangleFaceKey& key);
394 inline void calculateSurface(TransformedTriangle& tri, const TriangleFaceKey& key);
396 static inline bool IsFacesCoplanar(const double *const planeNormal, const double planeConstant,
397 const double *const *const coordsFace, const double precision);
398 static inline double CalculateIntersectionSurfaceOfCoplanarTriangles(const double *const planeNormal,
399 const double planeConstant,
400 const double *const p1, const double *const p2, const double *const p3,
401 const double *const p4, const double *const p5, const double *const p6,
402 const double dimCaracteristic, const double precision);
405 SplitterTetra(const SplitterTetra& t);
407 /// disallow assignment
408 SplitterTetra& operator=(const SplitterTetra& t);
411 /// affine transform associated with this target element
412 TetraAffineTransform* _t;
414 /// HashMap relating node numbers to transformed nodes, used for caching
415 HashMap< int , double* > _nodes;
417 /// HashMap relating triangular faces to calculated volume contributions, used for caching
418 HashMap< TriangleFaceKey, double > _volumes;
420 /// reference to the source mesh
421 const MyMeshType& _src_mesh;
423 // node id of the first node in target mesh in C mode.
424 typename MyMeshType::MyConnType _conn[4];
428 /// Smallest volume of the intersecting elements in the transformed space that will be returned as non-zero.
429 /// Since the scale is always the same in the transformed space (the target tetrahedron is unitary), this number is independent of the scale of the meshes.
430 static const double SPARSE_TRUNCATION_LIMIT;
434 * Function used to filter out elements by checking if they belong to one of the halfspaces
435 * x <= 0, x >= 1, y <= 0, y >= 1, z <= 0, z >= 1, (indexed 0 - 7). The function updates an array of boolean variables
436 * which indicates whether the points that have already been checked are all in a halfspace. For each halfspace,
437 * the corresponding array element will be true if and only if it was true when the method was called and pt lies in the halfspace.
439 * @param pt double[3] containing the coordiantes of a transformed point
440 * @param isOutside bool[8] which indicate the results of earlier checks.
442 template<class MyMeshType>
443 inline void SplitterTetra<MyMeshType>::checkIsOutside(const double* pt, bool* isOutside, const double errTol) const
445 isOutside[0] = isOutside[0] && (pt[0] < errTol);
446 isOutside[1] = isOutside[1] && (pt[0] > (1.0-errTol) );
447 isOutside[2] = isOutside[2] && (pt[1] < errTol);
448 isOutside[3] = isOutside[3] && (pt[1] > (1.0-errTol));
449 isOutside[4] = isOutside[4] && (pt[2] < errTol);
450 isOutside[5] = isOutside[5] && (pt[2] > (1.0-errTol));
451 isOutside[6] = isOutside[6] && (1.0 - pt[0] - pt[1] - pt[2] < errTol);
452 isOutside[7] = isOutside[7] && (1.0 - pt[0] - pt[1] - pt[2] > (1.0-errTol) );
455 template<class MyMeshType>
456 inline void SplitterTetra<MyMeshType>::checkIsStrictlyOutside(const double* pt, bool* isStrictlyOutside, const double errTol) const
458 isStrictlyOutside[0] = isStrictlyOutside[0] && (pt[0] < -errTol);
459 isStrictlyOutside[1] = isStrictlyOutside[1] && (pt[0] > (1.0 + errTol));
460 isStrictlyOutside[2] = isStrictlyOutside[2] && (pt[1] < -errTol);
461 isStrictlyOutside[3] = isStrictlyOutside[3] && (pt[1] > (1.0 + errTol));
462 isStrictlyOutside[4] = isStrictlyOutside[4] && (pt[2] < -errTol);
463 isStrictlyOutside[5] = isStrictlyOutside[5] && (pt[2] > (1.0 + errTol));
464 isStrictlyOutside[6] = isStrictlyOutside[6] && (1.0 - pt[0] - pt[1] - pt[2] < -errTol);
465 isStrictlyOutside[7] = isStrictlyOutside[7] && (1.0 - pt[0] - pt[1] - pt[2] > (1.0 + errTol));
469 * Calculates the transformed node with a given global node number.
470 * Gets the coordinates for the node in _src_mesh with the given global number and applies TetraAffineTransform
471 * _t to it. Stores the result in the cache _nodes. The non-existance of the node in _nodes should be verified before
474 * @param globalNodeNum global node number of the node in the mesh _src_mesh
477 template<class MyMeshType>
478 inline void SplitterTetra<MyMeshType>::calculateNode(typename MyMeshType::MyConnType globalNodeNum)
480 const double* node = _src_mesh.getCoordinatesPtr()+MyMeshType::MY_SPACEDIM*globalNodeNum;
481 double* transformedNode = new double[MyMeshType::MY_SPACEDIM];
482 assert(transformedNode != 0);
483 _t->apply(transformedNode, node);
484 _nodes[globalNodeNum] = transformedNode;
489 * Calculates the transformed node with a given global node number.
490 * Applies TetraAffineTransform * _t to it.
491 * Stores the result in the cache _nodes. The non-existence of the node in _nodes should be verified before * calling.
492 * The only difference with the previous method calculateNode is that the coordinates of the node are passed in arguments
493 * and are not recalculated in order to optimize the method.
495 * @param globalNodeNum global node number of the node in the mesh _src_mesh
498 template<class MyMeshType>
499 inline void SplitterTetra<MyMeshType>::calculateNode2(typename MyMeshType::MyConnType globalNodeNum, const double* node)
501 double* transformedNode = new double[MyMeshType::MY_SPACEDIM];
502 assert(transformedNode != 0);
503 _t->apply(transformedNode, node);
504 _nodes[globalNodeNum] = transformedNode;
508 * Calculates the volume contribution from the given TransformedTriangle and stores it with the given key in .
509 * Calls TransformedTriangle::calculateIntersectionVolume to perform the calculation.
511 * @param tri triangle for which to calculate the volume contribution
512 * @param key key associated with the face
514 template<class MyMeshType>
515 inline void SplitterTetra<MyMeshType>::calculateVolume(TransformedTriangle& tri, const TriangleFaceKey& key)
517 const double vol = tri.calculateIntersectionVolume();
518 _volumes.insert(std::make_pair(key, vol));
522 * Calculates the surface contribution from the given TransformedTriangle and stores it with the given key in.
523 * Calls TransformedTriangle::calculateIntersectionSurface to perform the calculation.
525 * @param tri triangle for which to calculate the surface contribution
526 * @param key key associated with the face
528 template<class MyMeshType>
529 inline void SplitterTetra<MyMeshType>::calculateSurface(TransformedTriangle& tri, const TriangleFaceKey& key)
531 const double surf = tri.calculateIntersectionSurface(_t);
532 _volumes.insert(std::make_pair(key, surf));
535 template<class MyMeshTypeT, class MyMeshTypeS=MyMeshTypeT>
539 SplitterTetra2(const MyMeshTypeT& targetMesh, const MyMeshTypeS& srcMesh, SplittingPolicy policy);
541 void releaseArrays();
542 void splitTargetCell(typename MyMeshTypeT::MyConnType targetCell, typename MyMeshTypeT::MyConnType nbOfNodesT,
543 typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
544 void fiveSplit(const int* const subZone, typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
545 void sixSplit(const int* const subZone, typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
546 void calculateGeneral24Tetra(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
547 void calculateGeneral48Tetra(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
548 void splitPyram5(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
549 void splitConvex(typename MyMeshTypeT::MyConnType targetCell,
550 typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
551 void calculateSubNodes(const MyMeshTypeT& targetMesh, typename MyMeshTypeT::MyConnType targetCell);
552 inline const double* getCoordsOfSubNode(typename MyMeshTypeT::MyConnType node);
553 inline const double* getCoordsOfSubNode2(typename MyMeshTypeT::MyConnType node, typename MyMeshTypeT::MyConnType& nodeId);
555 inline void calcBarycenter(int n, double* barycenter, const typename MyMeshTypeT::MyConnType* pts);
557 const MyMeshTypeT& _target_mesh;
558 const MyMeshTypeS& _src_mesh;
559 SplittingPolicy _splitting_pol;
560 /// vector of pointers to double[3] containing the coordinates of the
561 /// (sub) - nodes of split target cell
562 std::vector<const double*> _nodes;
563 std::vector<typename MyMeshTypeT::MyConnType> _node_ids;
567 * Calculates the barycenter of n (sub) - nodes
569 * @param n number of nodes for which to calculate barycenter
570 * @param barycenter pointer to double[3] array in which to store the result
571 * @param pts pointer to int[n] array containing the (sub)-nodes for which to calculate the barycenter
573 template<class MyMeshTypeT, class MyMeshTypeS>
575 inline void SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::calcBarycenter(int n, double* barycenter, const typename MyMeshTypeT::MyConnType* pts)
577 barycenter[0] = barycenter[1] = barycenter[2] = 0.0;
578 for(int i = 0; i < n ; ++i)
580 const double* pt = getCoordsOfSubNode(pts[i]);
581 barycenter[0] += pt[0];
582 barycenter[1] += pt[1];
583 barycenter[2] += pt[2];
592 * Accessor to the coordinates of a given (sub)-node
594 * @param node local number of the (sub)-node 0,..,7 are the elements nodes, sub-nodes are numbered from 8,..
595 * @return pointer to double[3] containing the coordinates of the nodes
597 template<class MyMeshTypeT, class MyMeshTypeS>
598 inline const double* SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::getCoordsOfSubNode(typename MyMeshTypeT::MyConnType node)
600 // replace "at()" with [] for unsafe but faster access
601 return _nodes.at(node);
605 * Accessor to the coordinates of a given (sub)-node
607 * @param node local number of the (sub)-node 0,..,7 are the elements nodes, sub-nodes are numbered from 8,..
608 * @param nodeId is an output that is node id in target whole mesh in C mode.
609 * @return pointer to double[3] containing the coordinates of the nodes
611 template<class MyMeshTypeT, class MyMeshTypeS>
612 const double* SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::getCoordsOfSubNode2(typename MyMeshTypeT::MyConnType node, typename MyMeshTypeT::MyConnType& nodeId)
614 const double *ret=_nodes.at(node);
616 nodeId=_node_ids[node];