1 // Copyright (C) 2007-2014 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
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13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
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18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.hxx
24 // Created: 15.02.06 14:48:09
25 // Author: Sergey KUUL
27 #ifndef SMESH_MesherHelper_HeaderFile
28 #define SMESH_MesherHelper_HeaderFile
30 #include "SMESH_SMESH.hxx"
32 #include "SMESH_MeshEditor.hxx" // needed for many meshers
33 #include <SMDS_MeshNode.hxx>
34 #include <SMDS_QuadraticEdge.hxx>
36 #include <Geom_Surface.hxx>
37 #include <TopoDS_Face.hxx>
38 #include <TopoDS_Shape.hxx>
39 #include <gp_Pnt2d.hxx>
44 class GeomAPI_ProjectPointOnSurf;
45 class GeomAPI_ProjectPointOnCurve;
46 class SMESH_ProxyMesh;
48 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
49 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
51 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
52 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
54 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
55 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
57 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
59 //=======================================================================
61 * \brief It helps meshers to add elements and provides other utilities
63 * - It allows meshers not to care about creation of medium nodes
64 * when filling a quadratic mesh. Helper does it itself.
65 * It defines order of elements to create when IsQuadraticSubMesh()
67 * - It provides information on a shape it is initialized with:
68 * periodicity, presence of singularities etc.
71 //=======================================================================
73 class SMESH_EXPORT SMESH_MesherHelper
76 // ---------- PUBLIC UTILITIES ----------
79 * \brief Returns true if all elements of a sub-mesh are of same shape
80 * \param smDS - sub-mesh to check elements of
81 * \param shape - expected shape of elements
82 * \param nullSubMeshRes - result value for the case of smDS == NULL
83 * \retval bool - check result
85 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
86 SMDSAbs_GeometryType shape,
87 const bool nullSubMeshRes = true);
90 * \brief Load nodes bound to face into a map of node columns
91 * \param theParam2ColumnMap - map of node columns to fill
92 * \param theFace - the face on which nodes are searched for
93 * \param theBaseSide - the edges holding nodes on which columns' bases
94 * \param theMesh - the mesh containing nodes
95 * \retval bool - false if something is wrong
97 * The key of the map is a normalized parameter of each
98 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
99 * This method works in supposition that nodes on the face
100 * forms a structured grid and elements can be quardrangles or triangles
102 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
103 const TopoDS_Face& theFace,
104 const std::list<TopoDS_Edge>& theBaseSide,
105 SMESHDS_Mesh* theMesh,
106 SMESH_ProxyMesh* theProxyMesh=0);
108 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
110 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
111 const TopoDS_Face& theFace,
112 const TopoDS_Edge& theBaseEdge,
113 SMESHDS_Mesh* theMesh,
114 SMESH_ProxyMesh* theProxyMesh=0);
116 * \brief Return true if 2D mesh on FACE is structured
118 static bool IsStructured( SMESH_subMesh* faceSM );
121 * \brief Returns true if given node is medium
122 * \param n - node to check
123 * \param typeToCheck - type of elements containing the node to ask about node status
124 * \retval bool - check result
126 static bool IsMedium(const SMDS_MeshNode* node,
127 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
129 * \brief Return support shape of a node
130 * \param node - the node
131 * \param meshDS - mesh DS
132 * \retval TopoDS_Shape - found support shape
133 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
135 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
136 const SMESHDS_Mesh* meshDS);
139 * \brief Return a valid node index, fixing the given one if necessary
140 * \param ind - node index
141 * \param nbNodes - total nb of nodes
142 * \retval int - valid node index
144 static inline int WrapIndex(int ind, const int nbNodes) {
145 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
149 * \brief Return UV of a point inside a quadrilateral FACE by it's
150 * normalized parameters within a unit quadrangle and the
151 * corresponding projections on sub-shapes of the real-world FACE.
152 * The used calculation method is called Trans-Finite Interpolation (TFI).
153 * \param x,y - normalized parameters that should be in range [0,1]
154 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
155 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
156 * \return gp_XY - UV of the point on the FACE
158 * Y ^ Order of those UV in the FACE is as follows.
166 * o---x-----o ----> X
169 inline static gp_XY calcTFI(double x, double y,
170 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
171 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
174 * \brief Same as "gp_XY calcTFI(...)" but in 3D
176 inline static gp_XYZ calcTFI(double x, double y,
177 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
178 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
180 * \brief Count nb of sub-shapes
181 * \param shape - the shape
182 * \param type - the type of sub-shapes to count
183 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
184 * \retval int - the calculated number
186 static int Count(const TopoDS_Shape& shape,
187 const TopAbs_ShapeEnum type,
188 const bool ignoreSame);
191 * \brief Return number of unique ancestors of the shape
193 static int NbAncestors(const TopoDS_Shape& shape,
194 const SMESH_Mesh& mesh,
195 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
197 * \brief Return iterator on ancestors of the given type
199 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
200 const SMESH_Mesh& mesh,
201 TopAbs_ShapeEnum ancestorType);
203 * \brief Find a common ancestor, of the given type, of two shapes
205 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
206 const TopoDS_Shape& shape2,
207 const SMESH_Mesh& mesh,
208 TopAbs_ShapeEnum ancestorType);
210 * \brief Return orientation of sub-shape in the main shape
212 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
213 const TopoDS_Shape& subShape);
215 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
217 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
219 static double MaxTolerance( const TopoDS_Shape& shape );
221 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
222 const TopoDS_Face & F, const TopoDS_Vertex & V,
223 gp_Vec* faceNormal=0);
225 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
227 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
229 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
230 const bool avoidCompound=false);
234 // ---------- PUBLIC INSTANCE METHODS ----------
237 SMESH_MesherHelper(SMESH_Mesh& theMesh);
239 SMESH_Mesh* GetMesh() const { return myMesh; }
241 SMESHDS_Mesh* GetMeshDS() const { return GetMesh()->GetMeshDS(); }
244 * Check submesh for given shape: if all elements on this shape are quadratic,
245 * quadratic elements will be created. Also fill myTLinkNodeMap
247 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
249 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
253 * \brief Set myCreateQuadratic flag
255 void SetIsQuadratic(const bool theBuildQuadratic)
256 { myCreateQuadratic = theBuildQuadratic; }
259 * \brief Set myCreateBiQuadratic flag
261 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
262 { myCreateBiQuadratic = theBuildBiQuadratic; }
265 * \brief Return myCreateQuadratic flag
267 bool GetIsQuadratic() const { return myCreateQuadratic; }
270 * \brief Find out elements orientation on a geometrical face
272 bool IsReversedSubMesh (const TopoDS_Face& theFace);
275 * \brief Return myCreateBiQuadratic flag
277 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
280 * \brief Move medium nodes of faces and volumes to fix distorted elements
281 * \param error - container of fixed distorted elements
282 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
284 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
287 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
288 * or the next methods. By defaul elements are set on the shape if
289 * a mesh has no shape to be meshed
291 bool SetElementsOnShape(bool toSet)
292 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
295 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
297 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
298 void SetSubShape(const TopoDS_Shape& subShape);
300 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
301 * \retval int - shape index in SMESHDS
303 int GetSubShapeID() const { return myShapeID; }
305 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
307 const TopoDS_Shape& GetSubShape() const { return myShape; }
310 * Creates a node (!Note ID before u=0.,v0.)
312 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
314 * Creates quadratic or linear edge
316 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
317 const SMDS_MeshNode* n2,
319 const bool force3d = true);
321 * Creates quadratic or linear triangle
323 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
324 const SMDS_MeshNode* n2,
325 const SMDS_MeshNode* n3,
327 const bool force3d = false);
329 * Creates bi-quadratic, quadratic or linear quadrangle
331 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
332 const SMDS_MeshNode* n2,
333 const SMDS_MeshNode* n3,
334 const SMDS_MeshNode* n4,
336 const bool force3d = false);
338 * Creates polygon, with additional nodes in quadratic mesh
340 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
342 const bool force3d = false);
344 * Creates quadratic or linear tetrahedron
346 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
347 const SMDS_MeshNode* n2,
348 const SMDS_MeshNode* n3,
349 const SMDS_MeshNode* n4,
351 const bool force3d = true);
353 * Creates quadratic or linear pyramid
355 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
356 const SMDS_MeshNode* n2,
357 const SMDS_MeshNode* n3,
358 const SMDS_MeshNode* n4,
359 const SMDS_MeshNode* n5,
361 const bool force3d = true);
363 * Creates quadratic or linear pentahedron
365 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
366 const SMDS_MeshNode* n2,
367 const SMDS_MeshNode* n3,
368 const SMDS_MeshNode* n4,
369 const SMDS_MeshNode* n5,
370 const SMDS_MeshNode* n6,
372 const bool force3d = true);
374 * Creates bi-quadratic, quadratic or linear hexahedron
376 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
377 const SMDS_MeshNode* n2,
378 const SMDS_MeshNode* n3,
379 const SMDS_MeshNode* n4,
380 const SMDS_MeshNode* n5,
381 const SMDS_MeshNode* n6,
382 const SMDS_MeshNode* n7,
383 const SMDS_MeshNode* n8,
385 bool force3d = true);
388 * Creates LINEAR!!!!!!!!! octahedron
390 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
391 const SMDS_MeshNode* n2,
392 const SMDS_MeshNode* n3,
393 const SMDS_MeshNode* n4,
394 const SMDS_MeshNode* n5,
395 const SMDS_MeshNode* n6,
396 const SMDS_MeshNode* n7,
397 const SMDS_MeshNode* n8,
398 const SMDS_MeshNode* n9,
399 const SMDS_MeshNode* n10,
400 const SMDS_MeshNode* n11,
401 const SMDS_MeshNode* n12,
403 bool force3d = true);
406 * Creates polyhedron. In quadratic mesh, adds medium nodes
408 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
409 const std::vector<int>& quantities,
411 const bool force3d = true);
413 * \brief Enables fixing node parameters on EDGEs and FACEs by
414 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
415 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
418 void ToFixNodeParameters(bool toFix);
421 * \brief Return U of the given node on the edge
423 double GetNodeU(const TopoDS_Edge& theEdge,
424 const SMDS_MeshNode* theNode,
425 const SMDS_MeshNode* inEdgeNode=0,
426 bool* check=0) const;
428 * \brief Return node UV on face
429 * \param inFaceNode - a node of element being created located inside a face
430 * \param check - if provided, returns result of UV check that it enforces
432 gp_XY GetNodeUV(const TopoDS_Face& F,
433 const SMDS_MeshNode* n,
434 const SMDS_MeshNode* inFaceNode=0,
435 bool* check=0) const;
437 * \brief Check and fix node UV on a face
438 * \param force - check even if checks of other nodes on this face passed OK
439 * \param distXYZ - returns result distance and point coordinates
440 * \retval bool - false if UV is bad and could not be fixed
442 bool CheckNodeUV(const TopoDS_Face& F,
443 const SMDS_MeshNode* n,
446 const bool force=false,
447 double distXYZ[4]=0) const;
449 * \brief Check and fix node U on an edge
450 * \param force - check even if checks of other nodes on this edge passed OK
451 * \param distXYZ - returns result distance and point coordinates
452 * \retval bool - false if U is bad and could not be fixed
454 bool CheckNodeU(const TopoDS_Edge& E,
455 const SMDS_MeshNode* n,
458 const bool force=false,
459 double distXYZ[4]=0) const;
461 * \brief Return middle UV taking in account surface period
463 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
467 * \brief Return UV for the central node of a biquadratic triangle
469 static gp_XY GetCenterUV(const gp_XY& uv1,
477 * \brief Define a pointer to wrapper over a function of gp_XY class,
478 * suitable to pass as xyFunPtr to applyIn2D().
479 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
480 * calling gp_XY::Added(gp_XY), which is to be used like following
481 * applyIn2D(surf, uv1, uv2, gp_XY_Added)
483 #define gp_XY_FunPtr(meth) \
484 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
485 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
488 * \brief Perform given operation on two 2d points in parameric space of given surface.
489 * It takes into account period of the surface. Use gp_XY_FunPtr macro
490 * to easily define pointer to function of gp_XY class.
492 static gp_XY applyIn2D(const Handle(Geom_Surface)& surface,
496 const bool resultInPeriod=true);
499 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
500 * \retval bool - return true if the face is periodic
502 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
505 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
508 * \brief Return projector intitialized by given face without location, which is returned
510 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
511 TopLoc_Location& loc,
512 double tol=0 ) const;
515 * \brief Check if shape is a degenerated edge or it's vertex
516 * \param subShape - edge or vertex index in SMESHDS
517 * \retval bool - true if subShape is a degenerated shape
519 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
521 bool IsDegenShape(const int subShape) const
522 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
524 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
525 * has a degenerated edges
526 * \retval bool - true if it has
528 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
531 * \brief Check if shape is a seam edge or it's vertex
532 * \param subShape - edge or vertex index in SMESHDS
533 * \retval bool - true if subShape is a seam shape
535 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
536 * Seam shape has two 2D alternative represenations on the face
538 bool IsSeamShape(const int subShape) const
539 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
541 * \brief Check if shape is a seam edge or it's vertex
542 * \param subShape - edge or vertex
543 * \retval bool - true if subShape is a seam shape
545 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
546 * Seam shape has two 2D alternative represenations on the face
548 bool IsSeamShape(const TopoDS_Shape& subShape) const
549 { return IsSeamShape( GetMeshDS()->ShapeToIndex( subShape )); }
551 * \brief Return true if an edge or a vertex encounters twice in face wire
552 * \param subShape - Id of edge or vertex
554 bool IsRealSeam(const int subShape) const
555 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
557 * \brief Return true if an edge or a vertex encounters twice in face wire
558 * \param subShape - edge or vertex
560 bool IsRealSeam(const TopoDS_Shape& subShape) const
561 { return IsRealSeam( GetMeshDS()->ShapeToIndex( subShape)); }
563 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
564 * has a seam edge, i.e. an edge that has two parametric representations
566 * \retval bool - true if it has
568 bool HasSeam() const { return !mySeamShapeIds.empty(); }
570 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
571 * has a seam edge that encounters twice in a wire
572 * \retval bool - true if it has
574 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
576 * \brief Return index of periodic parametric direction of a closed face
577 * \retval int - 1 for U, 2 for V direction
579 int GetPeriodicIndex() const { return myParIndex; }
581 * \brief Return an alternative parameter for a node on seam
583 double GetOtherParam(const double param) const;
586 * \brief Return existing or create new medium nodes between given ones
587 * \param force3d - true means node creation at the middle between the
588 * two given nodes, else node position is found on its
589 * supporting geometrical shape, if any.
591 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
592 const SMDS_MeshNode* n2,
595 * \brief Return existing or create a new central node for a quardilateral
596 * quadratic face given its 8 nodes.
597 * \param force3d - true means node creation in between the given nodes,
598 * else node position is found on a geometrical face if any.
600 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
601 const SMDS_MeshNode* n2,
602 const SMDS_MeshNode* n3,
603 const SMDS_MeshNode* n4,
604 const SMDS_MeshNode* n12,
605 const SMDS_MeshNode* n23,
606 const SMDS_MeshNode* n34,
607 const SMDS_MeshNode* n41,
610 * \brief Return existing or create a new central node for a
611 * quadratic triangle given its 6 nodes.
612 * \param force3d - true means node creation in between the given nodes,
613 * else node position is found on a geometrical face if any.
615 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
616 const SMDS_MeshNode* n2,
617 const SMDS_MeshNode* n3,
618 const SMDS_MeshNode* n12,
619 const SMDS_MeshNode* n23,
620 const SMDS_MeshNode* n31,
623 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
625 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
626 const SMDS_MeshNode* n2,
627 const bool useCurSubShape=false);
629 * \brief Add a link in my data structure
631 void AddTLinkNode(const SMDS_MeshNode* n1,
632 const SMDS_MeshNode* n2,
633 const SMDS_MeshNode* n12);
635 * \brief Add many links in my data structure
637 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
638 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
640 bool AddTLinks(const SMDS_MeshEdge* edge);
641 bool AddTLinks(const SMDS_MeshFace* face);
642 bool AddTLinks(const SMDS_MeshVolume* vol);
645 * Returns myTLinkNodeMap
647 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
650 * Check mesh without geometry for: if all elements on this shape are quadratic,
651 * quadratic elements will be created.
652 * Used then generated 3D mesh without geometry.
654 enum MType{ LINEAR, QUADRATIC, COMP };
655 MType IsQuadraticMesh();
657 virtual ~SMESH_MesherHelper();
662 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
663 * \param uv1 - UV on the seam
664 * \param uv2 - UV within a face
665 * \retval gp_Pnt2d - selected UV
667 gp_Pnt2d GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
669 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
670 const SMDS_MeshNode* n2,
674 // Forbiden copy constructor
675 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
677 // key of a map of bi-quadratic face to it's central node
678 struct TBiQuad: public std::pair<int, std::pair<int, int> >
680 TBiQuad(const SMDS_MeshNode* n1,
681 const SMDS_MeshNode* n2,
682 const SMDS_MeshNode* n3,
683 const SMDS_MeshNode* n4=0)
689 if ( n4 ) s.insert(n4);
690 TIDSortedNodeSet::iterator n = s.begin();
691 first = (*n++)->GetID();
692 second.first = (*n++)->GetID();
693 second.second = (*n++)->GetID();
697 // maps used during creation of quadratic elements
698 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
699 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
701 std::set< int > myDegenShapeIds;
702 std::set< int > mySeamShapeIds;
703 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
704 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
706 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
707 TID2ProjectorOnSurf myFace2Projector;
708 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
709 TID2ProjectorOnCurve myEdge2Projector;
711 TopoDS_Shape myShape;
715 bool myCreateQuadratic;
716 bool myCreateBiQuadratic;
717 bool mySetElemOnShape;
718 bool myFixNodeParameters;
720 std::map< int,bool > myNodePosShapesValidity;
721 bool toCheckPosOnShape(int shapeID ) const;
722 void setPosOnShapeValidity(int shapeID, bool ok ) const;
725 //=======================================================================
727 SMESH_MesherHelper::calcTFI(double x, double y,
728 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
729 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
732 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
733 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
735 //=======================================================================
737 SMESH_MesherHelper::calcTFI(double x, double y,
738 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
739 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
742 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
743 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
745 //=======================================================================