1 // Copyright (C) 2007-2016 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, or (at your option) any later version.
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 "INTERPKERNELDefines.hxx"
24 #include "TransformedTriangle.hxx"
25 #include "TetraAffineTransform.hxx"
26 #include "InterpolationOptions.hxx"
27 #include "InterpKernelException.hxx"
28 #include "InterpKernelHashMap.hxx"
29 #include "VectorUtils.hxx"
37 namespace INTERP_KERNEL
39 // Schema according to which the splitting is performed.
40 // Each line represents one tetrahedron. The numbering is as follows :
52 static const int SPLIT_NODES_5[20] = /* WHY not all well oriented ???? */
61 static const int SPLIT_NODES_5_WO[20] = /* WO for well oriented !!! normals of 3 first points are OUTSIDE the TETRA4 */
70 static const int SPLIT_NODES_6[24] = /* WHY all badly oriented ???? */
80 static const int SPLIT_NODES_6_WO[24] = /* WO for well oriented !!! normals of 3 first points are OUTSIDE the TETRA4 */
90 // Each sub-node is the barycenter of 4 other nodes.
91 // For the faces, these are on the orignal mesh.
92 // For the barycenter, the four face sub-nodes are used.
93 static const int GENERAL_24_SUB_NODES[28] =
95 0,1,4,5,// sub-node 8 (face)
96 0,1,2,3,// sub-node 9 (face)
97 0,3,4,7,// sub-node 10 (face)
98 1,2,5,6,// sub-node 11 (face)
99 4,5,6,7,// sub-node 12 (face)
100 2,3,6,7,// sub-node 13 (face)
101 8,9,10,11// sub-node 14 (cell)
104 static const int GENERAL_24_SUB_NODES_WO[28] =
106 0,4,5,1,// sub-node 8 (face)
107 0,1,2,3,// sub-node 9 (face)
108 0,3,7,4,// sub-node 10 (face)
109 1,5,6,2,// sub-node 11 (face)
110 4,7,6,5,// sub-node 12 (face)
111 2,6,7,3,// sub-node 13 (face)
112 8,9,10,11// sub-node 14 (cell)
115 static const int TETRA_EDGES_GENERAL_24[48] =
117 // face with center 8
122 // face with center 9
127 // face with center 10
132 // face with center 11
137 // face with center 12
142 // face with center 13
149 // Each sub-node is the barycenter of two other nodes.
150 // For the edges, these lie on the original mesh.
151 // For the faces, these are the edge sub-nodes.
152 // For the cell these are two face sub-nodes.
153 static const int GENERAL_48_SUB_NODES[38] =
155 0,1, // sub-node 8 (edge)
156 0,4, // sub-node 9 (edge)
157 1,5, // sub-node 10 (edge)
158 4,5, // sub-node 11 (edge)
159 0,3, // sub-node 12 (edge)
160 1,2, // sub-node 13 (edge)
161 4,7, // sub-node 14 (edge)
162 5,6, // sub-node 15 (edge)
163 2,3, // sub-node 16 (edge)
164 3,7, // sub-node 17 (edge)
165 2,6, // sub-node 18 (edge)
166 6,7, // sub-node 19 (edge)
167 8,11, // sub-node 20 (face)
168 12,13, // sub-node 21 (face)
169 9,17, // sub-node 22 (face)
170 10,18, // sub-node 23 (face)
171 14,15, // sub-node 24 (face)
172 16,19, // sub-node 25 (face)
173 20,25 // sub-node 26 (cell)
176 // Define 8 hexahedral subzones as in Grandy, p449
177 // the values correspond to the nodes that correspond to nodes 1,2,3,4,5,6,7,8 in the subcell
178 // For the correspondance of the nodes, see the GENERAL_48_SUB_NODES table in calculateSubNodes
179 static const int GENERAL_48_SUBZONES[64] =
181 0,8,21,12,9,20,26,22,
182 8,1,13,21,20,10,23,26,
183 12,21,16,3,22,26,25,17,
184 21,13,2,16,26,23,18,25,
185 9,20,26,22,4,11,24,14,
186 20,10,23,26,11,5,15,24,
187 22,26,25,17,14,24,19,7,
188 26,23,18,25,24,15,6,19
191 static const int GENERAL_48_SUBZONES_2[64] =
193 0,-1,-14,-5,-2,-13,-19,-15,
194 -1,1,-6,-14,-13,-3,-16,-19,
195 -5,-14,-9,3,-15,-19,-18,-10,
196 -14,-6,2,-9,-19,-16,-11,-18,
197 -2,-13,-19,-15,4,-4,-17,-7,
198 -13,-3,-16,-19,-4,5,-8,-17,
199 -15,-19,-18,-10,-7,-17,-12,7,
200 -19,-16,-11,-18,-17,-8,6,-12};
202 void SplitHexa8IntoTetras(SplittingPolicy policy, const int *nodalConnBg, const int *nodalConnEnd, const double *coords,
203 std::vector<int>& tetrasNodalConn, std::vector<double>& addCoords);
205 INTERPKERNEL_EXPORT void SplitIntoTetras(SplittingPolicy policy, NormalizedCellType gt, const int *nodalConnBg, const int *nodalConnEnd, const double *coords,
206 std::vector<int>& tetrasNodalConn, std::vector<double>& addCoords);
209 * \brief Class representing a triangular face, used as key in caching hash map in SplitterTetra.
212 class TriangleFaceKey
218 * Sorts the given nodes (so that the order in which they are passed does not matter) and
219 * calculates a hash value for the key.
221 * @param node1 global number of the first node of the face
222 * @param node2 global number of the second node of the face
223 * @param node3 global number of the third node of the face
225 TriangleFaceKey(int node1, int node2, int node3)
227 Sort3Ints(_nodes, node1, node2, node3);
228 _hashVal = ( _nodes[0] + _nodes[1] + _nodes[2] ) % 29;
232 * Equality comparison operator.
233 * Compares this TriangleFaceKey object to another and determines if they represent the same face.
235 * @param key TriangleFaceKey with which to compare
236 * @return true if key has the same three nodes as this object, false if not
238 bool operator==(const TriangleFaceKey& key) const
240 return _nodes[0] == key._nodes[0] && _nodes[1] == key._nodes[1] && _nodes[2] == key._nodes[2];
244 * Less than operator.
246 * @param key TriangleFaceKey with which to compare
247 * @return true if this object has the three nodes less than the nodes of the key object, false if not
249 bool operator<(const TriangleFaceKey& key) const
251 for (int i = 0; i < 3; ++i)
253 if (_nodes[i] < key._nodes[i])
257 else if (_nodes[i] > key._nodes[i])
266 * Returns a hash value for the object, based on its three nodes.
267 * This value is not unique for each face.
269 * @return a hash value for the object
276 inline static void Sort3Ints(int* sorted, int node1, int node2, int node3);
279 /// global numbers of the three nodes, sorted in ascending order
282 /// hash value for the object, calculated in the constructor
287 * Method to sort three integers in ascending order
289 * @param sorted int[3] array in which to store the result
290 * @param x1 first integer
291 * @param x2 second integer
292 * @param x3 third integer
294 inline void TriangleFaceKey::Sort3Ints(int* sorted, int x1, int x2, int x3)
302 sorted[1] = x2 < x3 ? x2 : x3;
303 sorted[2] = x2 < x3 ? x3 : x2;
319 sorted[1] = x1 < x3 ? x1 : x3;
320 sorted[2] = x1 < x3 ? x3 : x1;
333 * \brief Template specialization of INTERP_KERNEL::hash<T> function object for use with a
334 * with TriangleFaceKey as key class.
337 template<> class hash<INTERP_KERNEL::TriangleFaceKey>
341 * Operator() that returns the precalculated hashvalue of a TriangleFaceKey object.
343 * @param key a TriangleFaceKey object
344 * @return an integer hash value for key
346 int operator()(const INTERP_KERNEL::TriangleFaceKey& key) const
348 return key.hashVal();
353 namespace INTERP_KERNEL
356 * \brief Class calculating the volume of intersection between a tetrahedral target element and
357 * source elements with triangular or quadratilateral faces.
360 template<class MyMeshType>
365 SplitterTetra(const MyMeshType& srcMesh, const double** tetraCorners, const typename MyMeshType::MyConnType *nodesId);
367 SplitterTetra(const MyMeshType& srcMesh, const double tetraCorners[12], const int *conn = 0);
371 double intersectSourceCell(typename MyMeshType::MyConnType srcCell, double* baryCentre=0);
372 double intersectSourceFace(const NormalizedCellType polyType,
373 const int polyNodesNbr,
374 const int *const polyNodes,
375 const double *const *const polyCoords,
376 const double dimCaracteristic,
377 const double precision,
378 std::multiset<TriangleFaceKey>& listOfTetraFacesTreated,
379 std::set<TriangleFaceKey>& listOfTetraFacesColinear);
381 double intersectTetra(const double** tetraCorners);
383 typename MyMeshType::MyConnType getId(int id) { return _conn[id]; }
385 void splitIntoDualCells(SplitterTetra<MyMeshType> **output);
387 void splitMySelfForDual(double* output, int i, typename MyMeshType::MyConnType& nodeId);
389 void clearVolumesCache();
392 inline static void CheckIsOutside(const double* pt, bool* isOutside, const double errTol = DEFAULT_ABS_TOL);
393 inline static void CheckIsStrictlyOutside(const double* pt, bool* isStrictlyOutside, const double errTol = DEFAULT_ABS_TOL);
394 inline void calculateNode(typename MyMeshType::MyConnType globalNodeNum);
395 inline void calculateNode2(typename MyMeshType::MyConnType globalNodeNum, const double* node);
396 inline void calculateVolume(TransformedTriangle& tri, const TriangleFaceKey& key);
397 inline void calculateSurface(TransformedTriangle& tri, const TriangleFaceKey& key);
399 static inline bool IsFacesCoplanar(const double *const planeNormal, const double planeConstant,
400 const double *const *const coordsFace, const double precision);
401 static inline double CalculateIntersectionSurfaceOfCoplanarTriangles(const double *const planeNormal,
402 const double planeConstant,
403 const double *const p1, const double *const p2, const double *const p3,
404 const double *const p4, const double *const p5, const double *const p6,
405 const double dimCaracteristic, const double precision);
408 SplitterTetra(const SplitterTetra& t);
410 /// disallow assignment
411 SplitterTetra& operator=(const SplitterTetra& t);
414 /// affine transform associated with this target element
415 TetraAffineTransform* _t;
417 /// HashMap relating node numbers to transformed nodes, used for caching
418 HashMap< int , double* > _nodes;
420 /// HashMap relating triangular faces to calculated volume contributions, used for caching
421 HashMap< TriangleFaceKey, double > _volumes;
423 /// reference to the source mesh
424 const MyMeshType& _src_mesh;
426 // node id of the first node in target mesh in C mode.
427 typename MyMeshType::MyConnType _conn[4];
431 /// Smallest volume of the intersecting elements in the transformed space that will be returned as non-zero.
432 /// 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.
433 static const double SPARSE_TRUNCATION_LIMIT;
437 * Function used to filter out elements by checking if they belong to one of the halfspaces
438 * x <= 0, x >= 1, y <= 0, y >= 1, z <= 0, z >= 1, (indexed 0 - 7). The function updates an array of boolean variables
439 * which indicates whether the points that have already been checked are all in a halfspace. For each halfspace,
440 * 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.
442 * @param pt double[3] containing the coordiantes of a transformed point
443 * @param isOutside bool[8] which indicate the results of earlier checks.
445 template<class MyMeshType>
446 inline void SplitterTetra<MyMeshType>::CheckIsOutside(const double* pt, bool* isOutside, const double errTol)
448 isOutside[0] = isOutside[0] && (pt[0] < errTol);
449 isOutside[1] = isOutside[1] && (pt[0] > (1.0-errTol) );
450 isOutside[2] = isOutside[2] && (pt[1] < errTol);
451 isOutside[3] = isOutside[3] && (pt[1] > (1.0-errTol));
452 isOutside[4] = isOutside[4] && (pt[2] < errTol);
453 isOutside[5] = isOutside[5] && (pt[2] > (1.0-errTol));
454 isOutside[6] = isOutside[6] && (1.0 - pt[0] - pt[1] - pt[2] < errTol);
455 isOutside[7] = isOutside[7] && (1.0 - pt[0] - pt[1] - pt[2] > (1.0-errTol) );
458 template<class MyMeshType>
459 inline void SplitterTetra<MyMeshType>::CheckIsStrictlyOutside(const double* pt, bool* isStrictlyOutside, const double errTol)
461 isStrictlyOutside[0] = isStrictlyOutside[0] && (pt[0] < -errTol);
462 isStrictlyOutside[1] = isStrictlyOutside[1] && (pt[0] > (1.0 + errTol));
463 isStrictlyOutside[2] = isStrictlyOutside[2] && (pt[1] < -errTol);
464 isStrictlyOutside[3] = isStrictlyOutside[3] && (pt[1] > (1.0 + errTol));
465 isStrictlyOutside[4] = isStrictlyOutside[4] && (pt[2] < -errTol);
466 isStrictlyOutside[5] = isStrictlyOutside[5] && (pt[2] > (1.0 + errTol));
467 isStrictlyOutside[6] = isStrictlyOutside[6] && (1.0 - pt[0] - pt[1] - pt[2] < -errTol);
468 isStrictlyOutside[7] = isStrictlyOutside[7] && (1.0 - pt[0] - pt[1] - pt[2] > (1.0 + errTol));
472 * Calculates the transformed node with a given global node number.
473 * Gets the coordinates for the node in _src_mesh with the given global number and applies TetraAffineTransform
474 * _t to it. Stores the result in the cache _nodes. The non-existance of the node in _nodes should be verified before
477 * @param globalNodeNum global node number of the node in the mesh _src_mesh
480 template<class MyMeshType>
481 inline void SplitterTetra<MyMeshType>::calculateNode(typename MyMeshType::MyConnType globalNodeNum)
483 const double* node = _src_mesh.getCoordinatesPtr()+MyMeshType::MY_SPACEDIM*globalNodeNum;
484 double* transformedNode = new double[MyMeshType::MY_SPACEDIM];
485 assert(transformedNode != 0);
486 _t->apply(transformedNode, node);
487 _nodes[globalNodeNum] = transformedNode;
492 * Calculates the transformed node with a given global node number.
493 * Applies TetraAffineTransform * _t to it.
494 * Stores the result in the cache _nodes. The non-existence of the node in _nodes should be verified before * calling.
495 * The only difference with the previous method calculateNode is that the coordinates of the node are passed in arguments
496 * and are not recalculated in order to optimize the method.
498 * @param globalNodeNum global node number of the node in the mesh _src_mesh
501 template<class MyMeshType>
502 inline void SplitterTetra<MyMeshType>::calculateNode2(typename MyMeshType::MyConnType globalNodeNum, const double* node)
504 double* transformedNode = new double[MyMeshType::MY_SPACEDIM];
505 assert(transformedNode != 0);
506 _t->apply(transformedNode, node);
507 _nodes[globalNodeNum] = transformedNode;
511 * Calculates the volume contribution from the given TransformedTriangle and stores it with the given key in .
512 * Calls TransformedTriangle::calculateIntersectionVolume to perform the calculation.
514 * @param tri triangle for which to calculate the volume contribution
515 * @param key key associated with the face
517 template<class MyMeshType>
518 inline void SplitterTetra<MyMeshType>::calculateVolume(TransformedTriangle& tri, const TriangleFaceKey& key)
520 const double vol = tri.calculateIntersectionVolume();
521 _volumes.insert(std::make_pair(key, vol));
525 * Calculates the surface contribution from the given TransformedTriangle and stores it with the given key in.
526 * Calls TransformedTriangle::calculateIntersectionSurface to perform the calculation.
528 * @param tri triangle for which to calculate the surface contribution
529 * @param key key associated with the face
531 template<class MyMeshType>
532 inline void SplitterTetra<MyMeshType>::calculateSurface(TransformedTriangle& tri, const TriangleFaceKey& key)
534 const double surf = tri.calculateIntersectionSurface(_t);
535 _volumes.insert(std::make_pair(key, surf));
538 template<class MyMeshTypeT, class MyMeshTypeS=MyMeshTypeT>
542 SplitterTetra2(const MyMeshTypeT& targetMesh, const MyMeshTypeS& srcMesh, SplittingPolicy policy);
544 void releaseArrays();
545 void splitTargetCell2(typename MyMeshTypeT::MyConnType targetCell, typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);
546 void splitTargetCell(typename MyMeshTypeT::MyConnType targetCell, typename MyMeshTypeT::MyConnType nbOfNodesT,
547 typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
548 void fiveSplit(const int* const subZone, typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
549 void sixSplit(const int* const subZone, typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
550 void calculateGeneral24Tetra(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
551 void calculateGeneral48Tetra(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
552 void splitPyram5(typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
553 void splitConvex(typename MyMeshTypeT::MyConnType targetCell,//to suppress
554 typename std::vector< SplitterTetra<MyMeshTypeS>* >& tetra);//to suppress
555 void calculateSubNodes(const MyMeshTypeT& targetMesh, typename MyMeshTypeT::MyConnType targetCell);//to suppress
556 inline const double* getCoordsOfSubNode(typename MyMeshTypeT::MyConnType node);//to suppress
557 inline const double* getCoordsOfSubNode2(typename MyMeshTypeT::MyConnType node, typename MyMeshTypeT::MyConnType& nodeId);//to suppress
559 inline void calcBarycenter(int n, double* barycenter, const typename MyMeshTypeT::MyConnType* pts);//to suppress
561 const MyMeshTypeT& _target_mesh;
562 const MyMeshTypeS& _src_mesh;
563 SplittingPolicy _splitting_pol;
564 /// vector of pointers to double[3] containing the coordinates of the
565 /// (sub) - nodes of split target cell
566 std::vector<const double*> _nodes;
567 std::vector<typename MyMeshTypeT::MyConnType> _node_ids;
571 * Calculates the barycenter of n (sub) - nodes
573 * @param n number of nodes for which to calculate barycenter
574 * @param barycenter pointer to double[3] array in which to store the result
575 * @param pts pointer to int[n] array containing the (sub)-nodes for which to calculate the barycenter
577 template<class MyMeshTypeT, class MyMeshTypeS>
579 inline void SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::calcBarycenter(int n, double* barycenter, const typename MyMeshTypeT::MyConnType* pts)
581 barycenter[0] = barycenter[1] = barycenter[2] = 0.0;
582 for(int i = 0; i < n ; ++i)
584 const double* pt = getCoordsOfSubNode(pts[i]);
585 barycenter[0] += pt[0];
586 barycenter[1] += pt[1];
587 barycenter[2] += pt[2];
596 * Accessor to the coordinates of a given (sub)-node
598 * @param node local number of the (sub)-node 0,..,7 are the elements nodes, sub-nodes are numbered from 8,..
599 * @return pointer to double[3] containing the coordinates of the nodes
601 template<class MyMeshTypeT, class MyMeshTypeS>
602 inline const double* SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::getCoordsOfSubNode(typename MyMeshTypeT::MyConnType node)
604 // replace "at()" with [] for unsafe but faster access
605 return _nodes.at(node);
609 * Accessor to the coordinates of a given (sub)-node
611 * @param node local number of the (sub)-node 0,..,7 are the elements nodes, sub-nodes are numbered from 8,..
612 * @param nodeId is an output that is node id in target whole mesh in C mode.
613 * @return pointer to double[3] containing the coordinates of the nodes
615 template<class MyMeshTypeT, class MyMeshTypeS>
616 const double* SplitterTetra2<MyMeshTypeT, MyMeshTypeS>::getCoordsOfSubNode2(typename MyMeshTypeT::MyConnType node, typename MyMeshTypeT::MyConnType& nodeId)
618 const double *ret=_nodes.at(node);
620 nodeId=_node_ids[node];