1 // Copyright (C) 2007-2021 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
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14 // Lesser General Public License for more details.
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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_ComputeError.hxx"
33 #include "SMESH_TypeDefs.hxx"
35 #include <Geom_Surface.hxx>
36 #include <ShapeAnalysis_Surface.hxx>
37 #include <TopoDS_Face.hxx>
38 #include <TopoDS_Shape.hxx>
39 #include <gp_Pnt2d.hxx>
44 class GeomAPI_ProjectPointOnCurve;
45 class GeomAPI_ProjectPointOnSurf;
47 class SMESHDS_Hypothesis;
49 class SMESHDS_SubMesh;
52 class SMESH_ProxyMesh;
58 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
59 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
61 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
62 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
64 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
65 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
67 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
69 //=======================================================================
71 * \brief It helps meshers to add elements and provides other utilities
73 * - It allows meshers not to care about creation of medium nodes
74 * when filling a quadratic mesh. Helper does it itself.
75 * It defines order of elements to create when IsQuadraticSubMesh()
77 * - It provides information on a shape it is initialized with:
78 * periodicity, presence of singularities etc.
81 //=======================================================================
83 class SMESH_EXPORT SMESH_MesherHelper
86 // ---------- PUBLIC UTILITIES ----------
89 * \brief Returns true if all elements of a sub-mesh are of same shape
90 * \param smDS - sub-mesh to check elements of
91 * \param shape - expected shape of elements
92 * \param nullSubMeshRes - result value for the case of smDS == NULL
93 * \retval bool - check result
95 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
96 SMDSAbs_GeometryType shape,
97 const bool nullSubMeshRes = true);
100 * \brief Load nodes bound to face into a map of node columns
101 * \param theParam2ColumnMap - map of node columns to fill
102 * \param theFace - the face on which nodes are searched for
103 * \param theBaseSide - the edges holding nodes on which columns base
104 * \param theMesh - the mesh containing nodes
105 * \retval bool - false if something is wrong
107 * The key of the map is a normalized parameter of each
108 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
109 * This method works in supposition that nodes on the face
110 * forms a structured grid and elements can be quardrangles or triangles
112 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
113 const TopoDS_Face& theFace,
114 const std::list<TopoDS_Edge>& theBaseSide,
115 SMESHDS_Mesh* theMesh,
116 SMESH_ProxyMesh* theProxyMesh=0);
118 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
120 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
121 const TopoDS_Face& theFace,
122 const TopoDS_Edge& theBaseEdge,
123 SMESHDS_Mesh* theMesh,
124 SMESH_ProxyMesh* theProxyMesh=0);
126 * \brief Return true if 2D mesh on FACE is structured
128 static bool IsStructured( SMESH_subMesh* faceSM );
131 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
133 static bool IsCornerOfStructure( const SMDS_MeshNode* n,
134 const SMESHDS_SubMesh* faceSM,
135 SMESH_MesherHelper& faceAnalyser );
138 * \brief Return true if 2D mesh on FACE is distored
140 static bool IsDistorted2D( SMESH_subMesh* faceSM,
141 bool checkUV = false,
142 SMESH_MesherHelper* faceHelper = NULL);
145 * \brief Returns true if given node is medium
146 * \param n - node to check
147 * \param typeToCheck - type of elements containing the node to ask about node status
148 * \retval bool - check result
150 static bool IsMedium(const SMDS_MeshNode* node,
151 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
153 * \brief Return support shape of a node
154 * \param node - the node
155 * \param meshDS - mesh DS
156 * \retval TopoDS_Shape - found support shape
157 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
159 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
160 const SMESHDS_Mesh* meshDS);
163 * \brief Return a valid node index, fixing the given one if necessary
164 * \param ind - node index
165 * \param nbNodes - total nb of nodes
166 * \retval int - valid node index
168 static inline int WrapIndex(int ind, const int nbNodes) {
169 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
173 * \brief Return UV of a point inside a quadrilateral FACE by it's
174 * normalized parameters within a unit quadrangle and the
175 * corresponding projections on sub-shapes of the real-world FACE.
176 * The used calculation method is called Trans-Finite Interpolation (TFI).
177 * \param x,y - normalized parameters that should be in range [0,1]
178 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
179 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
180 * \return gp_XY - UV of the point on the FACE
182 * Y ^ Order of those UV in the FACE is as follows.
190 * o---x-----o ----> X
193 inline static gp_XY calcTFI(double x, double y,
194 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
195 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
198 * \brief Same as "gp_XY calcTFI(...)" but in 3D
200 inline static gp_XYZ calcTFI(double x, double y,
201 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
202 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
204 * \brief Count nb of sub-shapes
205 * \param shape - the shape
206 * \param type - the type of sub-shapes to count
207 * \param ignoreSame - if true, use map not to count same shapes, else use explorer
208 * \retval int - the calculated number
210 static int Count(const TopoDS_Shape& shape,
211 const TopAbs_ShapeEnum type,
212 const bool ignoreSame);
215 * \brief Return number of unique ancestors of the shape
217 static int NbAncestors(const TopoDS_Shape& shape,
218 const SMESH_Mesh& mesh,
219 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
221 * \brief Return iterator on ancestors of the given type, included into a container shape
223 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
224 const SMESH_Mesh& mesh,
225 TopAbs_ShapeEnum ancestorType,
226 const TopoDS_Shape* container = 0);
228 * \brief Find a common ancestor, of the given type, of two shapes
230 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
231 const TopoDS_Shape& shape2,
232 const SMESH_Mesh& mesh,
233 TopAbs_ShapeEnum ancestorType);
235 * \brief Return orientation of sub-shape in the main shape
237 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
238 const TopoDS_Shape& subShape);
240 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
242 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
244 static bool IsBlock( const TopoDS_Shape& shape );
246 static double MaxTolerance( const TopoDS_Shape& shape );
248 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
249 const TopoDS_Face & F, const TopoDS_Vertex & V,
250 gp_Vec* faceNormal=0);
252 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
254 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
256 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
257 const bool avoidCompound=false);
259 static TopoDS_Shape GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
260 const TopoDS_Shape& shape,
265 // ---------- PUBLIC INSTANCE METHODS ----------
268 SMESH_MesherHelper(SMESH_Mesh& theMesh);
270 SMESH_Gen* GetGen() const;
272 SMESH_Mesh* GetMesh() const { return myMesh; }
274 SMESHDS_Mesh* GetMeshDS() const;
277 * Check submesh for given shape: if all elements on this shape are quadratic,
278 * quadratic elements will be created. Also fill myTLinkNodeMap
280 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
283 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
285 void SetIsQuadratic(const bool theBuildQuadratic)
286 { myCreateQuadratic = theBuildQuadratic; }
289 * \brief Set myCreateBiQuadratic flag
291 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
292 { myCreateBiQuadratic = theBuildBiQuadratic; }
295 * \brief Return myCreateQuadratic flag
297 bool GetIsQuadratic() const { return myCreateQuadratic; }
300 * \brief Find out elements orientation on a geometrical face
302 bool IsReversedSubMesh (const TopoDS_Face& theFace);
305 * \brief Return myCreateBiQuadratic flag
307 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
310 * \brief Move medium nodes of faces and volumes to fix distorted elements
311 * \param error - container of fixed distorted elements
312 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
314 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
317 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
318 * or the next methods. By default elements are set on the shape if
319 * a mesh has no shape to be meshed
321 bool SetElementsOnShape(bool toSet)
322 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
325 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
327 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
328 void SetSubShape(const TopoDS_Shape& subShape);
330 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
331 * \retval int - shape index in SMESHDS
333 int GetSubShapeID() const { return myShapeID; }
335 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
337 const TopoDS_Shape& GetSubShape() const { return myShape; }
339 * \brief Copy shape information from another helper to improve performance
340 * since SetSubShape() can be time consuming if there are many edges
342 void CopySubShapeInfo(const SMESH_MesherHelper& other);
346 * \brief Convert a shape to its index in the SMESHDS_Mesh
348 int ShapeToIndex( const TopoDS_Shape& S ) const;
351 * Creates a node (!Note ID before u=0.,v0.)
353 SMDS_MeshNode* AddNode(double x, double y, double z, smIdType ID = 0, double u=0., double v=0.);
355 * Creates quadratic or linear edge
357 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
358 const SMDS_MeshNode* n2,
359 const smIdType id = 0,
360 const bool force3d = true);
362 * Creates quadratic or linear triangle
364 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
365 const SMDS_MeshNode* n2,
366 const SMDS_MeshNode* n3,
368 const bool force3d = false);
370 * Creates bi-quadratic, quadratic or linear quadrangle
372 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
373 const SMDS_MeshNode* n2,
374 const SMDS_MeshNode* n3,
375 const SMDS_MeshNode* n4,
376 const smIdType id = 0,
377 const bool force3d = false);
379 * Creates polygon, with additional nodes in quadratic mesh
381 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
382 const smIdType id = 0,
383 const bool force3d = false);
385 * Creates quadratic or linear tetrahedron
387 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
388 const SMDS_MeshNode* n2,
389 const SMDS_MeshNode* n3,
390 const SMDS_MeshNode* n4,
391 const smIdType id = 0,
392 const bool force3d = true);
394 * Creates quadratic or linear pyramid
396 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
397 const SMDS_MeshNode* n2,
398 const SMDS_MeshNode* n3,
399 const SMDS_MeshNode* n4,
400 const SMDS_MeshNode* n5,
401 const smIdType id = 0,
402 const bool force3d = true);
404 * Creates quadratic or linear pentahedron
406 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
407 const SMDS_MeshNode* n2,
408 const SMDS_MeshNode* n3,
409 const SMDS_MeshNode* n4,
410 const SMDS_MeshNode* n5,
411 const SMDS_MeshNode* n6,
412 const smIdType id = 0,
413 const bool force3d = true);
415 * Creates bi-quadratic, quadratic or linear hexahedron
417 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
418 const SMDS_MeshNode* n2,
419 const SMDS_MeshNode* n3,
420 const SMDS_MeshNode* n4,
421 const SMDS_MeshNode* n5,
422 const SMDS_MeshNode* n6,
423 const SMDS_MeshNode* n7,
424 const SMDS_MeshNode* n8,
425 const smIdType id = 0,
426 bool force3d = true);
429 * Creates LINEAR!!!!!!!!! octahedron
431 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
432 const SMDS_MeshNode* n2,
433 const SMDS_MeshNode* n3,
434 const SMDS_MeshNode* n4,
435 const SMDS_MeshNode* n5,
436 const SMDS_MeshNode* n6,
437 const SMDS_MeshNode* n7,
438 const SMDS_MeshNode* n8,
439 const SMDS_MeshNode* n9,
440 const SMDS_MeshNode* n10,
441 const SMDS_MeshNode* n11,
442 const SMDS_MeshNode* n12,
443 const smIdType id = 0,
444 bool force3d = true);
447 * Creates polyhedron. In quadratic mesh, adds medium nodes
449 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
450 const std::vector<int>& quantities,
452 const bool force3d = true);
454 * \brief Enables fixing node parameters on EDGEs and FACEs by
455 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
456 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
459 void ToFixNodeParameters(bool toFix);
462 * \brief Return U of the given node on the edge
464 double GetNodeU(const TopoDS_Edge& theEdge,
465 const SMDS_MeshNode* theNode,
466 const SMDS_MeshNode* inEdgeNode=0,
467 bool* check=0) const;
469 * \brief Return node UV on face
470 * \param inFaceNode - a node of element being created located inside a face
471 * \param check - if provided, returns result of UV check that it enforces
473 gp_XY GetNodeUV(const TopoDS_Face& F,
474 const SMDS_MeshNode* n,
475 const SMDS_MeshNode* inFaceNode=0,
476 bool* check=0) const;
478 * \brief Check and fix node UV on a face
479 * \param force - check even if checks of other nodes on this face passed OK
480 * \param distXYZ - returns result distance and point coordinates
481 * \retval bool - false if UV is bad and could not be fixed
483 bool CheckNodeUV(const TopoDS_Face& F,
484 const SMDS_MeshNode* n,
487 const bool force=false,
488 double distXYZ[4]=0) const;
490 * \brief Check and fix node U on an edge
491 * \param force - check even if checks of other nodes on this edge passed OK
492 * \param distXYZ - returns result distance and point coordinates
493 * \retval bool - false if U is bad and could not be fixed
495 bool CheckNodeU(const TopoDS_Edge& E,
496 const SMDS_MeshNode* n,
499 const bool force=false,
500 double distXYZ[4]=0) const;
502 * \brief Return middle UV taking in account surface period
504 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
508 * \brief Return UV for the central node of a biquadratic triangle
510 static gp_XY GetCenterUV(const gp_XY& uv1,
518 * \brief Define a pointer to wrapper over a function of gp_XY class,
519 * suitable to pass as xyFunPtr to ApplyIn2D().
520 * For example gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
521 * calling gp_XY::Added(gp_XY), which is to be used like following
522 * ApplyIn2D(surf, uv1, uv2, gp_XY_Added)
524 #define gp_XY_FunPtr(meth) \
525 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
526 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
529 * \brief Perform given operation on two 2d points in parameric space of given surface.
530 * It takes into account period of the surface. Use gp_XY_FunPtr macro
531 * to easily define pointer to function of gp_XY class.
533 static gp_XY ApplyIn2D(Handle(Geom_Surface) surface,
537 const bool resultInPeriod=true);
540 * \brief Move node positions on a FACE within surface period
541 * \param [in] face - the FACE
542 * \param [inout] uv - node positions to adjust
543 * \param [in] nbUV - nb of \a uv
545 void AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV );
548 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
549 * \retval bool - return true if the face is periodic
551 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
554 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
557 * \brief Return projector initialized by given face without location
559 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
560 TopLoc_Location& loc,
561 double tol=0 ) const;
563 * \brief Return projector initialized by given face
565 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
566 double tol=0 ) const;
568 * \brief Return projector initialized by given EDGE
570 GeomAPI_ProjectPointOnCurve& GetPCProjector(const TopoDS_Edge& E ) const;
572 * \brief Return a cached ShapeAnalysis_Surface of a FACE
574 Handle(ShapeAnalysis_Surface) GetSurface(const TopoDS_Face& F ) const;
577 * \brief Check if shape is a degenerated edge or it's vertex
578 * \param subShape - edge or vertex index in SMESHDS
579 * \retval bool - true if subShape is a degenerated shape
581 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
583 bool IsDegenShape(const int subShape) const
584 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
586 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
587 * has a degenerated edges
588 * \retval bool - true if there are degenerated edges
590 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
592 * \brief Return a number of degenerated edges in the shape set through
593 * IsQuadraticSubMesh() or SetSubShape()
594 * \retval size_t - nb edges
596 size_t NbDegeneratedEdges() const { return myDegenShapeIds.size(); }
599 * \brief Check if shape is a seam edge or it's vertex
600 * \param subShape - edge or vertex index in SMESHDS
601 * \retval bool - true if subShape is a seam shape
603 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
604 * Seam shape has two 2D alternative representations on the face
606 bool IsSeamShape(const int subShape) const
607 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
609 * \brief Check if shape is a seam edge or it's vertex
610 * \param subShape - edge or vertex
611 * \retval bool - true if subShape is a seam shape
613 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
614 * Seam shape has two 2D alternative representations on the face
616 bool IsSeamShape(const TopoDS_Shape& subShape) const
617 { return IsSeamShape( ShapeToIndex( subShape )); }
619 * \brief Return true if an edge or a vertex encounters twice in face wire
620 * \param subShape - Id of edge or vertex
622 bool IsRealSeam(const int subShape) const
623 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
625 * \brief Return true if an edge or a vertex encounters twice in face wire
626 * \param subShape - edge or vertex
628 bool IsRealSeam(const TopoDS_Shape& subShape) const
629 { return IsRealSeam( ShapeToIndex( subShape )); }
631 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
632 * has a seam edge, i.e. an edge that has two parametric representations
634 * \retval bool - true if it has
636 bool HasSeam() const { return !mySeamShapeIds.empty(); }
638 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
639 * has a seam edge that encounters twice in a wire
640 * \retval bool - true if it has
642 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
644 * \brief Return a number of real seam edges in the shape set through
645 * IsQuadraticSubMesh() or SetSubShape(). A real seam edge encounters twice in a wire
646 * \retval size_t - nb of real seams
648 size_t NbRealSeam() const;
650 * \brief Return index of periodic parametric direction of a closed face
651 * \retval int - 1 for U, 2 for V direction
653 int GetPeriodicIndex() const { return myParIndex; }
655 * \brief Return period in given direction [1,2]
657 double GetPeriod(int perioIndex) const { return myPar2[ perioIndex-1 ] - myPar1[ perioIndex-1 ]; }
659 * \brief Return an alternative parameter for a node on seam
661 double GetOtherParam(const double param) const;
663 * \brief Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
665 int IsOnSeam(const gp_XY& uv) const;
668 * \brief Return existing or create new medium nodes between given ones
669 * \param force3d - true means node creation at the middle between the
670 * two given nodes, else node position is found on its
671 * supporting geometrical shape, if any.
672 * \param expectedSupport - shape type corresponding to element being created
673 * , e.g TopAbs_EDGE if SMDSAbs_Edge is created
674 * basing on \a n1 and \a n2
676 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
677 const SMDS_MeshNode* n2,
679 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
681 * \brief Return existing or create a new central node for a quardilateral
682 * quadratic face given its 8 nodes.
683 * \param force3d - true means node creation in between the given nodes,
684 * else node position is found on a geometrical face if any.
686 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
687 const SMDS_MeshNode* n2,
688 const SMDS_MeshNode* n3,
689 const SMDS_MeshNode* n4,
690 const SMDS_MeshNode* n12,
691 const SMDS_MeshNode* n23,
692 const SMDS_MeshNode* n34,
693 const SMDS_MeshNode* n41,
696 * \brief Return existing or create a new central node for a
697 * quadratic triangle given its 6 nodes.
698 * \param force3d - true means node creation in between the given nodes,
699 * else node position is found on a geometrical face if any.
701 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
702 const SMDS_MeshNode* n2,
703 const SMDS_MeshNode* n3,
704 const SMDS_MeshNode* n12,
705 const SMDS_MeshNode* n23,
706 const SMDS_MeshNode* n31,
709 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
711 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
712 const SMDS_MeshNode* n2,
713 const bool useCurSubShape=false,
714 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
716 * \brief Add a link in my data structure
718 void AddTLinkNode(const SMDS_MeshNode* n1,
719 const SMDS_MeshNode* n2,
720 const SMDS_MeshNode* n12);
722 * \brief Add many links in my data structure
724 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
725 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
727 bool AddTLinks(const SMDS_MeshEdge* edge);
728 bool AddTLinks(const SMDS_MeshFace* face);
729 bool AddTLinks(const SMDS_MeshVolume* vol);
732 * Returns myTLinkNodeMap
734 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
737 * Check mesh without geometry for: if all elements on this shape are quadratic,
738 * quadratic elements will be created.
739 * Used then generated 3D mesh without geometry.
741 enum MType{ LINEAR, QUADRATIC, COMP };
742 MType IsQuadraticMesh();
744 virtual ~SMESH_MesherHelper();
746 static void WriteShape(const TopoDS_Shape& s);
752 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
753 * \param uv1 - UV on the seam
754 * \param uv2 - UV within a face
755 * \retval gp_Pnt2d - selected UV
757 gp_Pnt2d getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
759 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
760 const SMDS_MeshNode* n2,
763 double getFaceMaxTol( const TopoDS_Shape& face ) const;
768 // forbidden copy constructor
769 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
771 // key of a map of bi-quadratic face to it's central node
772 struct TBiQuad: public std::pair<smIdType, std::pair<smIdType, smIdType> >
774 TBiQuad(const SMDS_MeshNode* n1,
775 const SMDS_MeshNode* n2,
776 const SMDS_MeshNode* n3,
777 const SMDS_MeshNode* n4=0)
783 if ( n4 ) s.insert(n4);
784 TIDSortedNodeSet::iterator n = s.begin();
785 first = (*n++)->GetID();
786 second.first = (*n++)->GetID();
787 second.second = (*n++)->GetID();
791 // maps used during creation of quadratic elements
792 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
793 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
795 std::set< int > myDegenShapeIds;
796 std::set< int > mySeamShapeIds;
797 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
798 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
800 std::map< int, double > myFaceMaxTol;
802 typedef std::map< int, Handle(ShapeAnalysis_Surface)> TID2Surface;
803 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
804 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
805 mutable TID2Surface myFace2Surface;
806 TID2ProjectorOnSurf myFace2Projector;
807 TID2ProjectorOnCurve myEdge2Projector;
809 TopoDS_Shape myShape;
813 bool myCreateQuadratic;
814 bool myCreateBiQuadratic;
815 bool mySetElemOnShape;
816 bool myFixNodeParameters;
818 std::map< int,bool > myNodePosShapesValidity;
819 bool toCheckPosOnShape(int shapeID ) const;
820 void setPosOnShapeValidity(int shapeID, bool ok ) const;
823 //=======================================================================
825 SMESH_MesherHelper::calcTFI(double x, double y,
826 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
827 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
830 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
831 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
833 //=======================================================================
835 SMESH_MesherHelper::calcTFI(double x, double y,
836 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
837 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
840 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
841 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
843 //=======================================================================