1 // Copyright (C) 2007-2016 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_MeshEditor.hxx" // needed for many meshers
34 #include <Geom_Surface.hxx>
35 #include <ShapeAnalysis_Surface.hxx>
36 #include <TopoDS_Face.hxx>
37 #include <TopoDS_Shape.hxx>
38 #include <gp_Pnt2d.hxx>
43 class GeomAPI_ProjectPointOnCurve;
44 class GeomAPI_ProjectPointOnSurf;
46 class SMESHDS_Hypothesis;
48 class SMESH_ProxyMesh;
50 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
51 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
53 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
54 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
56 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
57 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
59 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
61 //=======================================================================
63 * \brief It helps meshers to add elements and provides other utilities
65 * - It allows meshers not to care about creation of medium nodes
66 * when filling a quadratic mesh. Helper does it itself.
67 * It defines order of elements to create when IsQuadraticSubMesh()
69 * - It provides information on a shape it is initialized with:
70 * periodicity, presence of singularities etc.
73 //=======================================================================
75 class SMESH_EXPORT SMESH_MesherHelper
78 // ---------- PUBLIC UTILITIES ----------
81 * \brief Returns true if all elements of a sub-mesh are of same shape
82 * \param smDS - sub-mesh to check elements of
83 * \param shape - expected shape of elements
84 * \param nullSubMeshRes - result value for the case of smDS == NULL
85 * \retval bool - check result
87 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
88 SMDSAbs_GeometryType shape,
89 const bool nullSubMeshRes = true);
92 * \brief Load nodes bound to face into a map of node columns
93 * \param theParam2ColumnMap - map of node columns to fill
94 * \param theFace - the face on which nodes are searched for
95 * \param theBaseSide - the edges holding nodes on which columns' bases
96 * \param theMesh - the mesh containing nodes
97 * \retval bool - false if something is wrong
99 * The key of the map is a normalized parameter of each
100 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
101 * This method works in supposition that nodes on the face
102 * forms a structured grid and elements can be quardrangles or triangles
104 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
105 const TopoDS_Face& theFace,
106 const std::list<TopoDS_Edge>& theBaseSide,
107 SMESHDS_Mesh* theMesh,
108 SMESH_ProxyMesh* theProxyMesh=0);
110 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
112 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
113 const TopoDS_Face& theFace,
114 const TopoDS_Edge& theBaseEdge,
115 SMESHDS_Mesh* theMesh,
116 SMESH_ProxyMesh* theProxyMesh=0);
118 * \brief Return true if 2D mesh on FACE is structured
120 static bool IsStructured( SMESH_subMesh* faceSM );
123 * \brief Return true if 2D mesh on FACE is distored
125 static bool IsDistorted2D( SMESH_subMesh* faceSM, bool checkUV=false );
128 * \brief Returns true if given node is medium
129 * \param n - node to check
130 * \param typeToCheck - type of elements containing the node to ask about node status
131 * \retval bool - check result
133 static bool IsMedium(const SMDS_MeshNode* node,
134 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
136 * \brief Return support shape of a node
137 * \param node - the node
138 * \param meshDS - mesh DS
139 * \retval TopoDS_Shape - found support shape
140 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
142 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
143 const SMESHDS_Mesh* meshDS);
146 * \brief Return a valid node index, fixing the given one if necessary
147 * \param ind - node index
148 * \param nbNodes - total nb of nodes
149 * \retval int - valid node index
151 static inline int WrapIndex(int ind, const int nbNodes) {
152 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
156 * \brief Return UV of a point inside a quadrilateral FACE by it's
157 * normalized parameters within a unit quadrangle and the
158 * corresponding projections on sub-shapes of the real-world FACE.
159 * The used calculation method is called Trans-Finite Interpolation (TFI).
160 * \param x,y - normalized parameters that should be in range [0,1]
161 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
162 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
163 * \return gp_XY - UV of the point on the FACE
165 * Y ^ Order of those UV in the FACE is as follows.
173 * o---x-----o ----> X
176 inline static gp_XY calcTFI(double x, double y,
177 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
178 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
181 * \brief Same as "gp_XY calcTFI(...)" but in 3D
183 inline static gp_XYZ calcTFI(double x, double y,
184 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
185 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
187 * \brief Count nb of sub-shapes
188 * \param shape - the shape
189 * \param type - the type of sub-shapes to count
190 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
191 * \retval int - the calculated number
193 static int Count(const TopoDS_Shape& shape,
194 const TopAbs_ShapeEnum type,
195 const bool ignoreSame);
198 * \brief Return number of unique ancestors of the shape
200 static int NbAncestors(const TopoDS_Shape& shape,
201 const SMESH_Mesh& mesh,
202 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
204 * \brief Return iterator on ancestors of the given type
206 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
207 const SMESH_Mesh& mesh,
208 TopAbs_ShapeEnum ancestorType);
210 * \brief Find a common ancestor, of the given type, of two shapes
212 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
213 const TopoDS_Shape& shape2,
214 const SMESH_Mesh& mesh,
215 TopAbs_ShapeEnum ancestorType);
217 * \brief Return orientation of sub-shape in the main shape
219 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
220 const TopoDS_Shape& subShape);
222 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
224 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
226 static bool IsBlock( const TopoDS_Shape& shape );
228 static double MaxTolerance( const TopoDS_Shape& shape );
230 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
231 const TopoDS_Face & F, const TopoDS_Vertex & V,
232 gp_Vec* faceNormal=0);
234 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
236 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
238 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
239 const bool avoidCompound=false);
241 static TopoDS_Shape GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
242 const TopoDS_Shape& shape,
247 // ---------- PUBLIC INSTANCE METHODS ----------
250 SMESH_MesherHelper(SMESH_Mesh& theMesh);
252 SMESH_Gen* GetGen() const;
254 SMESH_Mesh* GetMesh() const { return myMesh; }
256 SMESHDS_Mesh* GetMeshDS() const;
259 * Check submesh for given shape: if all elements on this shape are quadratic,
260 * quadratic elements will be created. Also fill myTLinkNodeMap
262 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
265 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
267 void SetIsQuadratic(const bool theBuildQuadratic)
268 { myCreateQuadratic = theBuildQuadratic; }
271 * \brief Set myCreateBiQuadratic flag
273 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
274 { myCreateBiQuadratic = theBuildBiQuadratic; }
277 * \brief Return myCreateQuadratic flag
279 bool GetIsQuadratic() const { return myCreateQuadratic; }
282 * \brief Find out elements orientation on a geometrical face
284 bool IsReversedSubMesh (const TopoDS_Face& theFace);
287 * \brief Return myCreateBiQuadratic flag
289 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
292 * \brief Move medium nodes of faces and volumes to fix distorted elements
293 * \param error - container of fixed distorted elements
294 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
296 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
299 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
300 * or the next methods. By defaul elements are set on the shape if
301 * a mesh has no shape to be meshed
303 bool SetElementsOnShape(bool toSet)
304 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
307 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
309 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
310 void SetSubShape(const TopoDS_Shape& subShape);
312 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
313 * \retval int - shape index in SMESHDS
315 int GetSubShapeID() const { return myShapeID; }
317 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
319 const TopoDS_Shape& GetSubShape() const { return myShape; }
322 * \brief Convert a shape to its index in the SMESHDS_Mesh
324 int ShapeToIndex( const TopoDS_Shape& S ) const;
327 * Creates a node (!Note ID before u=0.,v0.)
329 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
331 * Creates quadratic or linear edge
333 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
334 const SMDS_MeshNode* n2,
336 const bool force3d = true);
338 * Creates quadratic or linear triangle
340 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
341 const SMDS_MeshNode* n2,
342 const SMDS_MeshNode* n3,
344 const bool force3d = false);
346 * Creates bi-quadratic, quadratic or linear quadrangle
348 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
349 const SMDS_MeshNode* n2,
350 const SMDS_MeshNode* n3,
351 const SMDS_MeshNode* n4,
353 const bool force3d = false);
355 * Creates polygon, with additional nodes in quadratic mesh
357 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
359 const bool force3d = false);
361 * Creates quadratic or linear tetrahedron
363 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
364 const SMDS_MeshNode* n2,
365 const SMDS_MeshNode* n3,
366 const SMDS_MeshNode* n4,
368 const bool force3d = true);
370 * Creates quadratic or linear pyramid
372 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
373 const SMDS_MeshNode* n2,
374 const SMDS_MeshNode* n3,
375 const SMDS_MeshNode* n4,
376 const SMDS_MeshNode* n5,
378 const bool force3d = true);
380 * Creates quadratic or linear pentahedron
382 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
383 const SMDS_MeshNode* n2,
384 const SMDS_MeshNode* n3,
385 const SMDS_MeshNode* n4,
386 const SMDS_MeshNode* n5,
387 const SMDS_MeshNode* n6,
389 const bool force3d = true);
391 * Creates bi-quadratic, quadratic or linear hexahedron
393 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
394 const SMDS_MeshNode* n2,
395 const SMDS_MeshNode* n3,
396 const SMDS_MeshNode* n4,
397 const SMDS_MeshNode* n5,
398 const SMDS_MeshNode* n6,
399 const SMDS_MeshNode* n7,
400 const SMDS_MeshNode* n8,
402 bool force3d = true);
405 * Creates LINEAR!!!!!!!!! octahedron
407 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
408 const SMDS_MeshNode* n2,
409 const SMDS_MeshNode* n3,
410 const SMDS_MeshNode* n4,
411 const SMDS_MeshNode* n5,
412 const SMDS_MeshNode* n6,
413 const SMDS_MeshNode* n7,
414 const SMDS_MeshNode* n8,
415 const SMDS_MeshNode* n9,
416 const SMDS_MeshNode* n10,
417 const SMDS_MeshNode* n11,
418 const SMDS_MeshNode* n12,
420 bool force3d = true);
423 * Creates polyhedron. In quadratic mesh, adds medium nodes
425 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
426 const std::vector<int>& quantities,
428 const bool force3d = true);
430 * \brief Enables fixing node parameters on EDGEs and FACEs by
431 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
432 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
435 void ToFixNodeParameters(bool toFix);
438 * \brief Return U of the given node on the edge
440 double GetNodeU(const TopoDS_Edge& theEdge,
441 const SMDS_MeshNode* theNode,
442 const SMDS_MeshNode* inEdgeNode=0,
443 bool* check=0) const;
445 * \brief Return node UV on face
446 * \param inFaceNode - a node of element being created located inside a face
447 * \param check - if provided, returns result of UV check that it enforces
449 gp_XY GetNodeUV(const TopoDS_Face& F,
450 const SMDS_MeshNode* n,
451 const SMDS_MeshNode* inFaceNode=0,
452 bool* check=0) const;
454 * \brief Check and fix node UV on a face
455 * \param force - check even if checks of other nodes on this face passed OK
456 * \param distXYZ - returns result distance and point coordinates
457 * \retval bool - false if UV is bad and could not be fixed
459 bool CheckNodeUV(const TopoDS_Face& F,
460 const SMDS_MeshNode* n,
463 const bool force=false,
464 double distXYZ[4]=0) const;
466 * \brief Check and fix node U on an edge
467 * \param force - check even if checks of other nodes on this edge passed OK
468 * \param distXYZ - returns result distance and point coordinates
469 * \retval bool - false if U is bad and could not be fixed
471 bool CheckNodeU(const TopoDS_Edge& E,
472 const SMDS_MeshNode* n,
475 const bool force=false,
476 double distXYZ[4]=0) const;
478 * \brief Return middle UV taking in account surface period
480 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
484 * \brief Return UV for the central node of a biquadratic triangle
486 static gp_XY GetCenterUV(const gp_XY& uv1,
494 * \brief Define a pointer to wrapper over a function of gp_XY class,
495 * suitable to pass as xyFunPtr to ApplyIn2D().
496 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
497 * calling gp_XY::Added(gp_XY), which is to be used like following
498 * ApplyIn2D(surf, uv1, uv2, gp_XY_Added)
500 #define gp_XY_FunPtr(meth) \
501 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
502 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
505 * \brief Perform given operation on two 2d points in parameric space of given surface.
506 * It takes into account period of the surface. Use gp_XY_FunPtr macro
507 * to easily define pointer to function of gp_XY class.
509 static gp_XY ApplyIn2D(Handle(Geom_Surface) surface,
513 const bool resultInPeriod=true);
516 * \brief Move node positions on a FACE within surface period
517 * \param [in] face - the FACE
518 * \param [inout] uv - node positions to adjust
519 * \param [in] nbUV - nb of \a uv
521 void AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV );
524 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
525 * \retval bool - return true if the face is periodic
527 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
530 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
533 * \brief Return projector intitialized by given face without location, which is returned
535 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
536 TopLoc_Location& loc,
537 double tol=0 ) const;
539 * \brief Return a cached ShapeAnalysis_Surface of a FACE
541 Handle(ShapeAnalysis_Surface) GetSurface(const TopoDS_Face& F ) const;
544 * \brief Check if shape is a degenerated edge or it's vertex
545 * \param subShape - edge or vertex index in SMESHDS
546 * \retval bool - true if subShape is a degenerated shape
548 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
550 bool IsDegenShape(const int subShape) const
551 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
553 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
554 * has a degenerated edges
555 * \retval bool - true if it has
557 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
560 * \brief Check if shape is a seam edge or it's vertex
561 * \param subShape - edge or vertex index in SMESHDS
562 * \retval bool - true if subShape is a seam shape
564 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
565 * Seam shape has two 2D alternative represenations on the face
567 bool IsSeamShape(const int subShape) const
568 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
570 * \brief Check if shape is a seam edge or it's vertex
571 * \param subShape - edge or vertex
572 * \retval bool - true if subShape is a seam shape
574 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
575 * Seam shape has two 2D alternative represenations on the face
577 bool IsSeamShape(const TopoDS_Shape& subShape) const
578 { return IsSeamShape( ShapeToIndex( subShape )); }
580 * \brief Return true if an edge or a vertex encounters twice in face wire
581 * \param subShape - Id of edge or vertex
583 bool IsRealSeam(const int subShape) const
584 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
586 * \brief Return true if an edge or a vertex encounters twice in face wire
587 * \param subShape - edge or vertex
589 bool IsRealSeam(const TopoDS_Shape& subShape) const
590 { return IsRealSeam( ShapeToIndex( subShape )); }
592 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
593 * has a seam edge, i.e. an edge that has two parametric representations
595 * \retval bool - true if it has
597 bool HasSeam() const { return !mySeamShapeIds.empty(); }
599 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
600 * has a seam edge that encounters twice in a wire
601 * \retval bool - true if it has
603 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
605 * \brief Return index of periodic parametric direction of a closed face
606 * \retval int - 1 for U, 2 for V direction
608 int GetPeriodicIndex() const { return myParIndex; }
610 * \brief Return an alternative parameter for a node on seam
612 double GetOtherParam(const double param) const;
615 * \brief Return existing or create new medium nodes between given ones
616 * \param force3d - true means node creation at the middle between the
617 * two given nodes, else node position is found on its
618 * supporting geometrical shape, if any.
619 * \param expectedSupport - shape type corresponding to element being created
620 * , e.g TopAbs_EDGE if SMDSAbs_Edge is created
621 * basing on \a n1 and \a n2
623 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
624 const SMDS_MeshNode* n2,
626 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
628 * \brief Return existing or create a new central node for a quardilateral
629 * quadratic face given its 8 nodes.
630 * \param force3d - true means node creation in between the given nodes,
631 * else node position is found on a geometrical face if any.
633 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
634 const SMDS_MeshNode* n2,
635 const SMDS_MeshNode* n3,
636 const SMDS_MeshNode* n4,
637 const SMDS_MeshNode* n12,
638 const SMDS_MeshNode* n23,
639 const SMDS_MeshNode* n34,
640 const SMDS_MeshNode* n41,
643 * \brief Return existing or create a new central node for a
644 * quadratic triangle given its 6 nodes.
645 * \param force3d - true means node creation in between the given nodes,
646 * else node position is found on a geometrical face if any.
648 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
649 const SMDS_MeshNode* n2,
650 const SMDS_MeshNode* n3,
651 const SMDS_MeshNode* n12,
652 const SMDS_MeshNode* n23,
653 const SMDS_MeshNode* n31,
656 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
658 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
659 const SMDS_MeshNode* n2,
660 const bool useCurSubShape=false,
661 TopAbs_ShapeEnum expectedSupport=TopAbs_SHAPE);
663 * \brief Add a link in my data structure
665 void AddTLinkNode(const SMDS_MeshNode* n1,
666 const SMDS_MeshNode* n2,
667 const SMDS_MeshNode* n12);
669 * \brief Add many links in my data structure
671 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
672 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
674 bool AddTLinks(const SMDS_MeshEdge* edge);
675 bool AddTLinks(const SMDS_MeshFace* face);
676 bool AddTLinks(const SMDS_MeshVolume* vol);
679 * Returns myTLinkNodeMap
681 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
684 * Check mesh without geometry for: if all elements on this shape are quadratic,
685 * quadratic elements will be created.
686 * Used then generated 3D mesh without geometry.
688 enum MType{ LINEAR, QUADRATIC, COMP };
689 MType IsQuadraticMesh();
691 virtual ~SMESH_MesherHelper();
693 static void WriteShape(const TopoDS_Shape& s);
698 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
699 * \param uv1 - UV on the seam
700 * \param uv2 - UV within a face
701 * \retval gp_Pnt2d - selected UV
703 gp_Pnt2d getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
705 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
706 const SMDS_MeshNode* n2,
709 double getFaceMaxTol( const TopoDS_Shape& face ) const;
713 // Forbiden copy constructor
714 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
716 // key of a map of bi-quadratic face to it's central node
717 struct TBiQuad: public std::pair<int, std::pair<int, int> >
719 TBiQuad(const SMDS_MeshNode* n1,
720 const SMDS_MeshNode* n2,
721 const SMDS_MeshNode* n3,
722 const SMDS_MeshNode* n4=0)
728 if ( n4 ) s.insert(n4);
729 TIDSortedNodeSet::iterator n = s.begin();
730 first = (*n++)->GetID();
731 second.first = (*n++)->GetID();
732 second.second = (*n++)->GetID();
736 // maps used during creation of quadratic elements
737 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
738 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
740 std::set< int > myDegenShapeIds;
741 std::set< int > mySeamShapeIds;
742 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
743 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
745 std::map< int, double > myFaceMaxTol;
747 typedef std::map< int, Handle(ShapeAnalysis_Surface)> TID2Surface;
748 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
749 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
750 mutable TID2Surface myFace2Surface;
751 TID2ProjectorOnSurf myFace2Projector;
752 TID2ProjectorOnCurve myEdge2Projector;
754 TopoDS_Shape myShape;
758 bool myCreateQuadratic;
759 bool myCreateBiQuadratic;
760 bool mySetElemOnShape;
761 bool myFixNodeParameters;
763 std::map< int,bool > myNodePosShapesValidity;
764 bool toCheckPosOnShape(int shapeID ) const;
765 void setPosOnShapeValidity(int shapeID, bool ok ) const;
768 //=======================================================================
770 SMESH_MesherHelper::calcTFI(double x, double y,
771 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
772 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
775 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
776 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
778 //=======================================================================
780 SMESH_MesherHelper::calcTFI(double x, double y,
781 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
782 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
785 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
786 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
788 //=======================================================================