1 // Copyright (C) 2007-2013 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.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
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
17 // License along with this library; if not, write to the Free Software
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
134 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
135 const SMESHDS_Mesh* meshDS);
138 * \brief Return a valid node index, fixing the given one if necessary
139 * \param ind - node index
140 * \param nbNodes - total nb of nodes
141 * \retval int - valid node index
143 static inline int WrapIndex(int ind, const int nbNodes) {
144 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
148 * \brief Return UV of a point inside a quadrilateral FACE by it's
149 * normalized parameters within a unit quadrangle and the
150 * corresponding projections on sub-shapes of the real-world FACE.
151 * The used calculation method is called Trans-Finite Interpolation (TFI).
152 * \param x,y - normalized parameters that should be in range [0,1]
153 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
154 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
155 * \return gp_XY - UV of the point on the FACE
157 * Y ^ Order of those UV in the FACE is as follows.
165 * o---x-----o ----> X
168 inline static gp_XY calcTFI(double x, double y,
169 const gp_XY a0,const gp_XY a1,const gp_XY a2,const gp_XY a3,
170 const gp_XY p0,const gp_XY p1,const gp_XY p2,const gp_XY p3);
173 * \brief Same as "gp_XY calcTFI(...)" but in 3D
175 inline static gp_XYZ calcTFI(double x, double y,
176 const gp_XYZ a0,const gp_XYZ a1,const gp_XYZ a2,const gp_XYZ a3,
177 const gp_XYZ p0,const gp_XYZ p1,const gp_XYZ p2,const gp_XYZ p3);
179 * \brief Count nb of sub-shapes
180 * \param shape - the shape
181 * \param type - the type of sub-shapes to count
182 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
183 * \retval int - the calculated number
185 static int Count(const TopoDS_Shape& shape,
186 const TopAbs_ShapeEnum type,
187 const bool ignoreSame);
190 * \brief Return number of unique ancestors of the shape
192 static int NbAncestors(const TopoDS_Shape& shape,
193 const SMESH_Mesh& mesh,
194 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
196 * \brief Return iterator on ancestors of the given type
198 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
199 const SMESH_Mesh& mesh,
200 TopAbs_ShapeEnum ancestorType);
202 * \brief Find a common ancestor, of the given type, of two shapes
204 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
205 const TopoDS_Shape& shape2,
206 const SMESH_Mesh& mesh,
207 TopAbs_ShapeEnum ancestorType);
209 * \brief Return orientation of sub-shape in the main shape
211 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
212 const TopoDS_Shape& subShape);
214 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
216 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
218 static double MaxTolerance( const TopoDS_Shape& shape );
220 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2, const TopoDS_Face & F);
222 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
224 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
226 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
227 const bool avoidCompound=false);
231 // ---------- PUBLIC INSTANCE METHODS ----------
234 SMESH_MesherHelper(SMESH_Mesh& theMesh);
236 SMESH_Mesh* GetMesh() const { return myMesh; }
238 SMESHDS_Mesh* GetMeshDS() const { return GetMesh()->GetMeshDS(); }
241 * Check submesh for given shape: if all elements on this shape are quadratic,
242 * quadratic elements will be created. Also fill myTLinkNodeMap
244 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
246 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
250 * \brief Set myCreateQuadratic flag
252 void SetIsQuadratic(const bool theBuildQuadratic)
253 { myCreateQuadratic = theBuildQuadratic; }
256 * \brief Set myCreateBiQuadratic flag
258 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
259 { myCreateBiQuadratic = theBuildBiQuadratic; }
262 * \brief Return myCreateQuadratic flag
264 bool GetIsQuadratic() const { return myCreateQuadratic; }
267 * \brief Find out elements orientation on a geometrical face
269 bool IsReversedSubMesh (const TopoDS_Face& theFace);
272 * \brief Return myCreateBiQuadratic flag
274 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
277 * \brief Move medium nodes of faces and volumes to fix distorted elements
278 * \param error - container of fixed distorted elements
279 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
281 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
284 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
285 * or the next methods. By defaul elements are set on the shape if
286 * a mesh has no shape to be meshed
288 bool SetElementsOnShape(bool toSet)
289 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
292 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
294 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
295 void SetSubShape(const TopoDS_Shape& subShape);
297 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
298 * \retval int - shape index in SMESHDS
300 int GetSubShapeID() const { return myShapeID; }
302 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
304 const TopoDS_Shape& GetSubShape() const { return myShape; }
307 * Creates a node (!Note ID before u=0.,v0.)
309 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
311 * Creates quadratic or linear edge
313 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
314 const SMDS_MeshNode* n2,
316 const bool force3d = true);
318 * Creates quadratic or linear triangle
320 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
321 const SMDS_MeshNode* n2,
322 const SMDS_MeshNode* n3,
324 const bool force3d = false);
326 * Creates bi-quadratic, quadratic or linear quadrangle
328 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
329 const SMDS_MeshNode* n2,
330 const SMDS_MeshNode* n3,
331 const SMDS_MeshNode* n4,
333 const bool force3d = false);
335 * Creates polygon, with additional nodes in quadratic mesh
337 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
339 const bool force3d = false);
341 * Creates quadratic or linear tetrahedron
343 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
344 const SMDS_MeshNode* n2,
345 const SMDS_MeshNode* n3,
346 const SMDS_MeshNode* n4,
348 const bool force3d = true);
350 * Creates quadratic or linear pyramid
352 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
353 const SMDS_MeshNode* n2,
354 const SMDS_MeshNode* n3,
355 const SMDS_MeshNode* n4,
356 const SMDS_MeshNode* n5,
358 const bool force3d = true);
360 * Creates quadratic or linear pentahedron
362 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
363 const SMDS_MeshNode* n2,
364 const SMDS_MeshNode* n3,
365 const SMDS_MeshNode* n4,
366 const SMDS_MeshNode* n5,
367 const SMDS_MeshNode* n6,
369 const bool force3d = true);
371 * Creates bi-quadratic, quadratic or linear hexahedron
373 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
374 const SMDS_MeshNode* n2,
375 const SMDS_MeshNode* n3,
376 const SMDS_MeshNode* n4,
377 const SMDS_MeshNode* n5,
378 const SMDS_MeshNode* n6,
379 const SMDS_MeshNode* n7,
380 const SMDS_MeshNode* n8,
382 bool force3d = true);
385 * Creates LINEAR!!!!!!!!! octahedron
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 SMDS_MeshNode* n5,
392 const SMDS_MeshNode* n6,
393 const SMDS_MeshNode* n7,
394 const SMDS_MeshNode* n8,
395 const SMDS_MeshNode* n9,
396 const SMDS_MeshNode* n10,
397 const SMDS_MeshNode* n11,
398 const SMDS_MeshNode* n12,
400 bool force3d = true);
403 * Creates polyhedron. In quadratic mesh, adds medium nodes
405 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
406 const std::vector<int>& quantities,
408 const bool force3d = true);
410 * \brief Enables fixing node parameters on EDGEs and FACEs by
411 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
412 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
415 void ToFixNodeParameters(bool toFix);
418 * \brief Return U of the given node on the edge
420 double GetNodeU(const TopoDS_Edge& theEdge,
421 const SMDS_MeshNode* theNode,
422 const SMDS_MeshNode* inEdgeNode=0,
423 bool* check=0) const;
425 * \brief Return node UV on face
426 * \param inFaceNode - a node of element being created located inside a face
427 * \param check - if provided, returns result of UV check that it enforces
429 gp_XY GetNodeUV(const TopoDS_Face& F,
430 const SMDS_MeshNode* n,
431 const SMDS_MeshNode* inFaceNode=0,
432 bool* check=0) const;
434 * \brief Check and fix node UV on a face
435 * \param force - check even if checks of other nodes on this face passed OK
436 * \param distXYZ - returns result distance and point coordinates
437 * \retval bool - false if UV is bad and could not be fixed
439 bool CheckNodeUV(const TopoDS_Face& F,
440 const SMDS_MeshNode* n,
443 const bool force=false,
444 double distXYZ[4]=0) const;
446 * \brief Check and fix node U on an edge
447 * \param force - check even if checks of other nodes on this edge passed OK
448 * \param distXYZ - returns result distance and point coordinates
449 * \retval bool - false if U is bad and could not be fixed
451 bool CheckNodeU(const TopoDS_Edge& E,
452 const SMDS_MeshNode* n,
455 const bool force=false,
456 double distXYZ[4]=0) const;
458 * \brief Return middle UV taking in account surface period
460 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
464 * \brief Return UV for the central node of a biquadratic triangle
466 static gp_XY GetCenterUV(const gp_XY& uv1,
474 * \brief Define a pointer to wrapper over a function of gp_XY class,
475 * suitable to pass as xyFunPtr to applyIn2D().
476 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
477 * calling gp_XY::Added(gp_XY), which is to be used like following
478 * applyIn2D(surf, uv1, uv2, gp_XY_Added)
480 #define gp_XY_FunPtr(meth) \
481 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
482 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
485 * \brief Perform given operation on two 2d points in parameric space of given surface.
486 * It takes into account period of the surface. Use gp_XY_FunPtr macro
487 * to easily define pointer to function of gp_XY class.
489 static gp_XY applyIn2D(const Handle(Geom_Surface)& surface,
493 const bool resultInPeriod=true);
496 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
497 * \retval bool - return true if the face is periodic
499 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
502 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
505 * \brief Return projector intitialized by given face without location, which is returned
507 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
508 TopLoc_Location& loc,
509 double tol=0 ) const;
512 * \brief Check if shape is a degenerated edge or it's vertex
513 * \param subShape - edge or vertex index in SMESHDS
514 * \retval bool - true if subShape is a degenerated shape
516 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
518 bool IsDegenShape(const int subShape) const
519 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
521 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
522 * has a degenerated edges
523 * \retval bool - true if it has
525 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
528 * \brief Check if shape is a seam edge or it's vertex
529 * \param subShape - edge or vertex index in SMESHDS
530 * \retval bool - true if subShape is a seam shape
532 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
533 * Seam shape has two 2D alternative represenations on the face
535 bool IsSeamShape(const int subShape) const
536 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
538 * \brief Check if shape is a seam edge or it's vertex
539 * \param subShape - edge or vertex
540 * \retval bool - true if subShape is a seam shape
542 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
543 * Seam shape has two 2D alternative represenations on the face
545 bool IsSeamShape(const TopoDS_Shape& subShape) const
546 { return IsSeamShape( GetMeshDS()->ShapeToIndex( subShape )); }
548 * \brief Return true if an edge or a vertex encounters twice in face wire
549 * \param subShape - Id of edge or vertex
551 bool IsRealSeam(const int subShape) const
552 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
554 * \brief Return true if an edge or a vertex encounters twice in face wire
555 * \param subShape - edge or vertex
557 bool IsRealSeam(const TopoDS_Shape& subShape) const
558 { return IsRealSeam( GetMeshDS()->ShapeToIndex( subShape)); }
560 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
562 * \retval bool - true if it has
564 bool HasSeam() const { return !mySeamShapeIds.empty(); }
566 * \brief Return index of periodic parametric direction of a closed face
567 * \retval int - 1 for U, 2 for V direction
569 int GetPeriodicIndex() const { return myParIndex; }
571 * \brief Return an alternative parameter for a node on seam
573 double GetOtherParam(const double param) const;
576 * \brief Return existing or create new medium nodes between given ones
577 * \param force3d - true means node creation at the middle between the
578 * two given nodes, else node position is found on its
579 * supporting geometrical shape, if any.
581 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
582 const SMDS_MeshNode* n2,
585 * \brief Return existing or create a new central node for a quardilateral
586 * quadratic face given its 8 nodes.
587 * \param force3d - true means node creation in between the given nodes,
588 * else node position is found on a geometrical face if any.
590 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
591 const SMDS_MeshNode* n2,
592 const SMDS_MeshNode* n3,
593 const SMDS_MeshNode* n4,
594 const SMDS_MeshNode* n12,
595 const SMDS_MeshNode* n23,
596 const SMDS_MeshNode* n34,
597 const SMDS_MeshNode* n41,
600 * \brief Return existing or create a new central node for a
601 * quadratic triangle given its 6 nodes.
602 * \param force3d - true means node creation in between the given nodes,
603 * else node position is found on a geometrical face if any.
605 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
606 const SMDS_MeshNode* n2,
607 const SMDS_MeshNode* n3,
608 const SMDS_MeshNode* n12,
609 const SMDS_MeshNode* n23,
610 const SMDS_MeshNode* n31,
613 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
615 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
616 const SMDS_MeshNode* n2,
617 const bool useCurSubShape=false);
619 * \brief Add a link in my data structure
621 void AddTLinkNode(const SMDS_MeshNode* n1,
622 const SMDS_MeshNode* n2,
623 const SMDS_MeshNode* n12);
625 * \brief Add many links in my data structure
627 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
628 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
630 void AddTLinks(const SMDS_MeshEdge* edge);
631 void AddTLinks(const SMDS_MeshFace* face);
632 void AddTLinks(const SMDS_MeshVolume* vol);
635 * Returns myTLinkNodeMap
637 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
640 * Check mesh without geometry for: if all elements on this shape are quadratic,
641 * quadratic elements will be created.
642 * Used then generated 3D mesh without geometry.
644 enum MType{ LINEAR, QUADRATIC, COMP };
645 MType IsQuadraticMesh();
647 virtual ~SMESH_MesherHelper();
652 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
653 * \param uv1 - UV on the seam
654 * \param uv2 - UV within a face
655 * \retval gp_Pnt2d - selected UV
657 gp_Pnt2d GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
659 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
660 const SMDS_MeshNode* n2,
664 // Forbiden copy constructor
665 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
667 // key of a map of bi-quadratic face to it's central node
668 struct TBiQuad: public std::pair<int, std::pair<int, int> >
670 TBiQuad(const SMDS_MeshNode* n1,
671 const SMDS_MeshNode* n2,
672 const SMDS_MeshNode* n3,
673 const SMDS_MeshNode* n4=0)
679 if ( n4 ) s.insert(n4);
680 TIDSortedNodeSet::iterator n = s.begin();
681 first = (*n++)->GetID();
682 second.first = (*n++)->GetID();
683 second.second = (*n++)->GetID();
687 // maps used during creation of quadratic elements
688 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
689 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
691 std::set< int > myDegenShapeIds;
692 std::set< int > mySeamShapeIds;
693 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
694 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
696 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
697 TID2ProjectorOnSurf myFace2Projector;
698 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
699 TID2ProjectorOnCurve myEdge2Projector;
701 TopoDS_Shape myShape;
705 bool myCreateQuadratic;
706 bool myCreateBiQuadratic;
707 bool mySetElemOnShape;
708 bool myFixNodeParameters;
710 std::map< int,bool > myNodePosShapesValidity;
711 bool toCheckPosOnShape(int shapeID ) const;
712 void setPosOnShapeValidity(int shapeID, bool ok ) const;
715 //=======================================================================
717 SMESH_MesherHelper::calcTFI(double x, double y,
718 const gp_XY a0,const gp_XY a1,const gp_XY a2,const gp_XY a3,
719 const gp_XY p0,const gp_XY p1,const gp_XY p2,const gp_XY p3)
722 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
723 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
725 //=======================================================================
727 SMESH_MesherHelper::calcTFI(double x, double y,
728 const gp_XYZ a0,const gp_XYZ a1,const gp_XYZ a2,const gp_XYZ a3,
729 const gp_XYZ p0,const gp_XYZ p1,const gp_XYZ p2,const gp_XYZ 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 //=======================================================================