1 // Copyright (C) 2007-2020 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' bases
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 2D mesh on FACE is distored
133 static bool IsDistorted2D( SMESH_subMesh* faceSM,
134 bool checkUV = false,
135 SMESH_MesherHelper* faceHelper = NULL);
138 * \brief Returns true if given node is medium
139 * \param n - node to check
140 * \param typeToCheck - type of elements containing the node to ask about node status
141 * \retval bool - check result
143 static bool IsMedium(const SMDS_MeshNode* node,
144 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
146 * \brief Return support shape of a node
147 * \param node - the node
148 * \param meshDS - mesh DS
149 * \retval TopoDS_Shape - found support shape
150 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
152 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
153 const SMESHDS_Mesh* meshDS);
156 * \brief Return a valid node index, fixing the given one if necessary
157 * \param ind - node index
158 * \param nbNodes - total nb of nodes
159 * \retval int - valid node index
161 static inline int WrapIndex(int ind, const int nbNodes) {
162 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
166 * \brief Return UV of a point inside a quadrilateral FACE by it's
167 * normalized parameters within a unit quadrangle and the
168 * corresponding projections on sub-shapes of the real-world FACE.
169 * The used calculation method is called Trans-Finite Interpolation (TFI).
170 * \param x,y - normalized parameters that should be in range [0,1]
171 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
172 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
173 * \return gp_XY - UV of the point on the FACE
175 * Y ^ Order of those UV in the FACE is as follows.
183 * o---x-----o ----> X
186 inline static gp_XY calcTFI(double x, double y,
187 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
188 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
191 * \brief Same as "gp_XY calcTFI(...)" but in 3D
193 inline static gp_XYZ calcTFI(double x, double y,
194 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
195 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
197 * \brief Count nb of sub-shapes
198 * \param shape - the shape
199 * \param type - the type of sub-shapes to count
200 * \param ignoreSame - if true, use map not to count same shapes, else use explorer
201 * \retval int - the calculated number
203 static int Count(const TopoDS_Shape& shape,
204 const TopAbs_ShapeEnum type,
205 const bool ignoreSame);
208 * \brief Return number of unique ancestors of the shape
210 static int NbAncestors(const TopoDS_Shape& shape,
211 const SMESH_Mesh& mesh,
212 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
214 * \brief Return iterator on ancestors of the given type, included into a container shape
216 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
217 const SMESH_Mesh& mesh,
218 TopAbs_ShapeEnum ancestorType,
219 const TopoDS_Shape* container = 0);
221 * \brief Find a common ancestor, of the given type, of two shapes
223 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
224 const TopoDS_Shape& shape2,
225 const SMESH_Mesh& mesh,
226 TopAbs_ShapeEnum ancestorType);
228 * \brief Return orientation of sub-shape in the main shape
230 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
231 const TopoDS_Shape& subShape);
233 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
235 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
237 static bool IsBlock( const TopoDS_Shape& shape );
239 static double MaxTolerance( const TopoDS_Shape& shape );
241 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
242 const TopoDS_Face & F, const TopoDS_Vertex & V,
243 gp_Vec* faceNormal=0);
245 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
247 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
249 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
250 const bool avoidCompound=false);
252 static TopoDS_Shape GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
253 const TopoDS_Shape& shape,
258 // ---------- PUBLIC INSTANCE METHODS ----------
261 SMESH_MesherHelper(SMESH_Mesh& theMesh);
263 SMESH_Gen* GetGen() const;
265 SMESH_Mesh* GetMesh() const { return myMesh; }
267 SMESHDS_Mesh* GetMeshDS() const;
270 * Check submesh for given shape: if all elements on this shape are quadratic,
271 * quadratic elements will be created. Also fill myTLinkNodeMap
273 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
276 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
278 void SetIsQuadratic(const bool theBuildQuadratic)
279 { myCreateQuadratic = theBuildQuadratic; }
282 * \brief Set myCreateBiQuadratic flag
284 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
285 { myCreateBiQuadratic = theBuildBiQuadratic; }
288 * \brief Return myCreateQuadratic flag
290 bool GetIsQuadratic() const { return myCreateQuadratic; }
293 * \brief Find out elements orientation on a geometrical face
295 bool IsReversedSubMesh (const TopoDS_Face& theFace);
298 * \brief Return myCreateBiQuadratic flag
300 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
303 * \brief Move medium nodes of faces and volumes to fix distorted elements
304 * \param error - container of fixed distorted elements
305 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
307 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
310 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
311 * or the next methods. By default elements are set on the shape if
312 * a mesh has no shape to be meshed
314 bool SetElementsOnShape(bool toSet)
315 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
318 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
320 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
321 void SetSubShape(const TopoDS_Shape& subShape);
323 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
324 * \retval int - shape index in SMESHDS
326 int GetSubShapeID() const { return myShapeID; }
328 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
330 const TopoDS_Shape& GetSubShape() const { return myShape; }
332 * \brief Copy shape information from another helper to improve performance
333 * since SetSubShape() can be time consuming if there are many edges
335 void CopySubShapeInfo(const SMESH_MesherHelper& other);
339 * \brief Convert a shape to its index in the SMESHDS_Mesh
341 int ShapeToIndex( const TopoDS_Shape& S ) const;
344 * Creates a node (!Note ID before u=0.,v0.)
346 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
348 * Creates quadratic or linear edge
350 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
351 const SMDS_MeshNode* n2,
353 const bool force3d = true);
355 * Creates quadratic or linear triangle
357 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
358 const SMDS_MeshNode* n2,
359 const SMDS_MeshNode* n3,
361 const bool force3d = false);
363 * Creates bi-quadratic, quadratic or linear quadrangle
365 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
366 const SMDS_MeshNode* n2,
367 const SMDS_MeshNode* n3,
368 const SMDS_MeshNode* n4,
370 const bool force3d = false);
372 * Creates polygon, with additional nodes in quadratic mesh
374 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
376 const bool force3d = false);
378 * Creates quadratic or linear tetrahedron
380 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
381 const SMDS_MeshNode* n2,
382 const SMDS_MeshNode* n3,
383 const SMDS_MeshNode* n4,
385 const bool force3d = true);
387 * Creates quadratic or linear pyramid
389 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
390 const SMDS_MeshNode* n2,
391 const SMDS_MeshNode* n3,
392 const SMDS_MeshNode* n4,
393 const SMDS_MeshNode* n5,
395 const bool force3d = true);
397 * Creates quadratic or linear pentahedron
399 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
400 const SMDS_MeshNode* n2,
401 const SMDS_MeshNode* n3,
402 const SMDS_MeshNode* n4,
403 const SMDS_MeshNode* n5,
404 const SMDS_MeshNode* n6,
406 const bool force3d = true);
408 * Creates bi-quadratic, quadratic or linear hexahedron
410 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
411 const SMDS_MeshNode* n2,
412 const SMDS_MeshNode* n3,
413 const SMDS_MeshNode* n4,
414 const SMDS_MeshNode* n5,
415 const SMDS_MeshNode* n6,
416 const SMDS_MeshNode* n7,
417 const SMDS_MeshNode* n8,
419 bool force3d = true);
422 * Creates LINEAR!!!!!!!!! octahedron
424 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
425 const SMDS_MeshNode* n2,
426 const SMDS_MeshNode* n3,
427 const SMDS_MeshNode* n4,
428 const SMDS_MeshNode* n5,
429 const SMDS_MeshNode* n6,
430 const SMDS_MeshNode* n7,
431 const SMDS_MeshNode* n8,
432 const SMDS_MeshNode* n9,
433 const SMDS_MeshNode* n10,
434 const SMDS_MeshNode* n11,
435 const SMDS_MeshNode* n12,
437 bool force3d = true);
440 * Creates polyhedron. In quadratic mesh, adds medium nodes
442 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
443 const std::vector<int>& quantities,
445 const bool force3d = true);
447 * \brief Enables fixing node parameters on EDGEs and FACEs by
448 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
449 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
452 void ToFixNodeParameters(bool toFix);
455 * \brief Return U of the given node on the edge
457 double GetNodeU(const TopoDS_Edge& theEdge,
458 const SMDS_MeshNode* theNode,
459 const SMDS_MeshNode* inEdgeNode=0,
460 bool* check=0) const;
462 * \brief Return node UV on face
463 * \param inFaceNode - a node of element being created located inside a face
464 * \param check - if provided, returns result of UV check that it enforces
466 gp_XY GetNodeUV(const TopoDS_Face& F,
467 const SMDS_MeshNode* n,
468 const SMDS_MeshNode* inFaceNode=0,
469 bool* check=0) const;
471 * \brief Check and fix node UV on a face
472 * \param force - check even if checks of other nodes on this face passed OK
473 * \param distXYZ - returns result distance and point coordinates
474 * \retval bool - false if UV is bad and could not be fixed
476 bool CheckNodeUV(const TopoDS_Face& F,
477 const SMDS_MeshNode* n,
480 const bool force=false,
481 double distXYZ[4]=0) const;
483 * \brief Check and fix node U on an edge
484 * \param force - check even if checks of other nodes on this edge passed OK
485 * \param distXYZ - returns result distance and point coordinates
486 * \retval bool - false if U is bad and could not be fixed
488 bool CheckNodeU(const TopoDS_Edge& E,
489 const SMDS_MeshNode* n,
492 const bool force=false,
493 double distXYZ[4]=0) const;
495 * \brief Return middle UV taking in account surface period
497 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
501 * \brief Return UV for the central node of a biquadratic triangle
503 static gp_XY GetCenterUV(const gp_XY& uv1,
511 * \brief Define a pointer to wrapper over a function of gp_XY class,
512 * suitable to pass as xyFunPtr to ApplyIn2D().
513 * For example gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
514 * calling gp_XY::Added(gp_XY), which is to be used like following
515 * ApplyIn2D(surf, uv1, uv2, gp_XY_Added)
517 #define gp_XY_FunPtr(meth) \
518 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
519 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
522 * \brief Perform given operation on two 2d points in parameric space of given surface.
523 * It takes into account period of the surface. Use gp_XY_FunPtr macro
524 * to easily define pointer to function of gp_XY class.
526 static gp_XY ApplyIn2D(Handle(Geom_Surface) surface,
530 const bool resultInPeriod=true);
533 * \brief Move node positions on a FACE within surface period
534 * \param [in] face - the FACE
535 * \param [inout] uv - node positions to adjust
536 * \param [in] nbUV - nb of \a uv
538 void AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV );
541 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
542 * \retval bool - return true if the face is periodic
544 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
547 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
550 * \brief Return projector initialized by given face without location, which is returned
552 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
553 TopLoc_Location& loc,
554 double tol=0 ) const;
556 * \brief Return a cached ShapeAnalysis_Surface of a FACE
558 Handle(ShapeAnalysis_Surface) GetSurface(const TopoDS_Face& F ) const;
561 * \brief Check if shape is a degenerated edge or it's vertex
562 * \param subShape - edge or vertex index in SMESHDS
563 * \retval bool - true if subShape is a degenerated shape
565 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
567 bool IsDegenShape(const int subShape) const
568 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
570 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
571 * has a degenerated edges
572 * \retval bool - true if there are degenerated edges
574 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
576 * \brief Return a number of degenerated edges in the shape set through
577 * IsQuadraticSubMesh() or SetSubShape()
578 * \retval size_t - nb edges
580 size_t NbDegeneratedEdges() const { return myDegenShapeIds.size(); }
583 * \brief Check if shape is a seam edge or it's vertex
584 * \param subShape - edge or vertex index in SMESHDS
585 * \retval bool - true if subShape is a seam shape
587 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
588 * Seam shape has two 2D alternative representations on the face
590 bool IsSeamShape(const int subShape) const
591 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
593 * \brief Check if shape is a seam edge or it's vertex
594 * \param subShape - edge or vertex
595 * \retval bool - true if subShape is a seam shape
597 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
598 * Seam shape has two 2D alternative representations on the face
600 bool IsSeamShape(const TopoDS_Shape& subShape) const
601 { return IsSeamShape( ShapeToIndex( subShape )); }
603 * \brief Return true if an edge or a vertex encounters twice in face wire
604 * \param subShape - Id of edge or vertex
606 bool IsRealSeam(const int subShape) const
607 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
609 * \brief Return true if an edge or a vertex encounters twice in face wire
610 * \param subShape - edge or vertex
612 bool IsRealSeam(const TopoDS_Shape& subShape) const
613 { return IsRealSeam( ShapeToIndex( subShape )); }
615 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
616 * has a seam edge, i.e. an edge that has two parametric representations
618 * \retval bool - true if it has
620 bool HasSeam() const { return !mySeamShapeIds.empty(); }
622 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
623 * has a seam edge that encounters twice in a wire
624 * \retval bool - true if it has
626 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
628 * \brief Return a number of real seam edges in the shape set through
629 * IsQuadraticSubMesh() or SetSubShape(). A real seam edge encounters twice in a wire
630 * \retval size_t - nb of real seams
632 size_t NbRealSeam() const;
634 * \brief Return index of periodic parametric direction of a closed face
635 * \retval int - 1 for U, 2 for V direction
637 int GetPeriodicIndex() const { return myParIndex; }
639 * \brief Return period in given direction [1,2]
641 double GetPeriod(int perioIndex) const { return myPar2[ perioIndex-1 ] - myPar1[ perioIndex-1 ]; }
643 * \brief Return an alternative parameter for a node on seam
645 double GetOtherParam(const double param) const;
647 * \brief Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
649 int IsOnSeam(const gp_XY& uv) const;
652 * \brief Return existing or create new medium nodes between given ones
653 * \param force3d - true means node creation at the middle between the
654 * two given nodes, else node position is found on its
655 * supporting geometrical shape, if any.
656 * \param expectedSupport - shape type corresponding to element being created
657 * , e.g TopAbs_EDGE if SMDSAbs_Edge is created
658 * basing on \a n1 and \a n2
660 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
661 const SMDS_MeshNode* n2,
663 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
665 * \brief Return existing or create a new central node for a quardilateral
666 * quadratic face given its 8 nodes.
667 * \param force3d - true means node creation in between the given nodes,
668 * else node position is found on a geometrical face if any.
670 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
671 const SMDS_MeshNode* n2,
672 const SMDS_MeshNode* n3,
673 const SMDS_MeshNode* n4,
674 const SMDS_MeshNode* n12,
675 const SMDS_MeshNode* n23,
676 const SMDS_MeshNode* n34,
677 const SMDS_MeshNode* n41,
680 * \brief Return existing or create a new central node for a
681 * quadratic triangle given its 6 nodes.
682 * \param force3d - true means node creation in between the given nodes,
683 * else node position is found on a geometrical face if any.
685 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
686 const SMDS_MeshNode* n2,
687 const SMDS_MeshNode* n3,
688 const SMDS_MeshNode* n12,
689 const SMDS_MeshNode* n23,
690 const SMDS_MeshNode* n31,
693 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
695 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
696 const SMDS_MeshNode* n2,
697 const bool useCurSubShape=false,
698 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
700 * \brief Add a link in my data structure
702 void AddTLinkNode(const SMDS_MeshNode* n1,
703 const SMDS_MeshNode* n2,
704 const SMDS_MeshNode* n12);
706 * \brief Add many links in my data structure
708 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
709 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
711 bool AddTLinks(const SMDS_MeshEdge* edge);
712 bool AddTLinks(const SMDS_MeshFace* face);
713 bool AddTLinks(const SMDS_MeshVolume* vol);
716 * Returns myTLinkNodeMap
718 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
721 * Check mesh without geometry for: if all elements on this shape are quadratic,
722 * quadratic elements will be created.
723 * Used then generated 3D mesh without geometry.
725 enum MType{ LINEAR, QUADRATIC, COMP };
726 MType IsQuadraticMesh();
728 virtual ~SMESH_MesherHelper();
730 static void WriteShape(const TopoDS_Shape& s);
736 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
737 * \param uv1 - UV on the seam
738 * \param uv2 - UV within a face
739 * \retval gp_Pnt2d - selected UV
741 gp_Pnt2d getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
743 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
744 const SMDS_MeshNode* n2,
747 double getFaceMaxTol( const TopoDS_Shape& face ) const;
752 // forbidden copy constructor
753 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
755 // key of a map of bi-quadratic face to it's central node
756 struct TBiQuad: public std::pair<int, std::pair<int, int> >
758 TBiQuad(const SMDS_MeshNode* n1,
759 const SMDS_MeshNode* n2,
760 const SMDS_MeshNode* n3,
761 const SMDS_MeshNode* n4=0)
767 if ( n4 ) s.insert(n4);
768 TIDSortedNodeSet::iterator n = s.begin();
769 first = (*n++)->GetID();
770 second.first = (*n++)->GetID();
771 second.second = (*n++)->GetID();
775 // maps used during creation of quadratic elements
776 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
777 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
779 std::set< int > myDegenShapeIds;
780 std::set< int > mySeamShapeIds;
781 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
782 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
784 std::map< int, double > myFaceMaxTol;
786 typedef std::map< int, Handle(ShapeAnalysis_Surface)> TID2Surface;
787 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
788 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
789 mutable TID2Surface myFace2Surface;
790 TID2ProjectorOnSurf myFace2Projector;
791 TID2ProjectorOnCurve myEdge2Projector;
793 TopoDS_Shape myShape;
797 bool myCreateQuadratic;
798 bool myCreateBiQuadratic;
799 bool mySetElemOnShape;
800 bool myFixNodeParameters;
802 std::map< int,bool > myNodePosShapesValidity;
803 bool toCheckPosOnShape(int shapeID ) const;
804 void setPosOnShapeValidity(int shapeID, bool ok ) const;
807 //=======================================================================
809 SMESH_MesherHelper::calcTFI(double x, double y,
810 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
811 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
814 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
815 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
817 //=======================================================================
819 SMESH_MesherHelper::calcTFI(double x, double y,
820 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
821 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
824 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
825 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
827 //=======================================================================