1 // Copyright (C) 2007-2014 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
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13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
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18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.hxx
24 // Created: 15.02.06 14:48:09
25 // Author: Sergey KUUL
27 #ifndef SMESH_MesherHelper_HeaderFile
28 #define SMESH_MesherHelper_HeaderFile
30 #include "SMESH_SMESH.hxx"
32 #include "SMESH_MeshEditor.hxx" // needed for many meshers
33 #include <SMDS_MeshNode.hxx>
34 #include <SMDS_QuadraticEdge.hxx>
36 #include <Geom_Surface.hxx>
37 #include <TopoDS_Face.hxx>
38 #include <TopoDS_Shape.hxx>
39 #include <gp_Pnt2d.hxx>
44 class GeomAPI_ProjectPointOnSurf;
45 class GeomAPI_ProjectPointOnCurve;
46 class SMESH_ProxyMesh;
48 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
49 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
51 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
52 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
54 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
55 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
57 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
59 //=======================================================================
61 * \brief It helps meshers to add elements and provides other utilities
63 * - It allows meshers not to care about creation of medium nodes
64 * when filling a quadratic mesh. Helper does it itself.
65 * It defines order of elements to create when IsQuadraticSubMesh()
67 * - It provides information on a shape it is initialized with:
68 * periodicity, presence of singularities etc.
71 //=======================================================================
73 class SMESH_EXPORT SMESH_MesherHelper
76 // ---------- PUBLIC UTILITIES ----------
79 * \brief Returns true if all elements of a sub-mesh are of same shape
80 * \param smDS - sub-mesh to check elements of
81 * \param shape - expected shape of elements
82 * \param nullSubMeshRes - result value for the case of smDS == NULL
83 * \retval bool - check result
85 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
86 SMDSAbs_GeometryType shape,
87 const bool nullSubMeshRes = true);
90 * \brief Load nodes bound to face into a map of node columns
91 * \param theParam2ColumnMap - map of node columns to fill
92 * \param theFace - the face on which nodes are searched for
93 * \param theBaseSide - the edges holding nodes on which columns' bases
94 * \param theMesh - the mesh containing nodes
95 * \retval bool - false if something is wrong
97 * The key of the map is a normalized parameter of each
98 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
99 * This method works in supposition that nodes on the face
100 * forms a structured grid and elements can be quardrangles or triangles
102 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
103 const TopoDS_Face& theFace,
104 const std::list<TopoDS_Edge>& theBaseSide,
105 SMESHDS_Mesh* theMesh,
106 SMESH_ProxyMesh* theProxyMesh=0);
108 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
110 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
111 const TopoDS_Face& theFace,
112 const TopoDS_Edge& theBaseEdge,
113 SMESHDS_Mesh* theMesh,
114 SMESH_ProxyMesh* theProxyMesh=0);
116 * \brief Return true if 2D mesh on FACE is structured
118 static bool IsStructured( SMESH_subMesh* faceSM );
121 * \brief Return true if 2D mesh on FACE is distored
123 static bool IsDistorted2D( SMESH_subMesh* faceSM );
126 * \brief Returns true if given node is medium
127 * \param n - node to check
128 * \param typeToCheck - type of elements containing the node to ask about node status
129 * \retval bool - check result
131 static bool IsMedium(const SMDS_MeshNode* node,
132 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
134 * \brief Return support shape of a node
135 * \param node - the node
136 * \param meshDS - mesh DS
137 * \retval TopoDS_Shape - found support shape
138 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
140 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
141 const SMESHDS_Mesh* meshDS);
144 * \brief Return a valid node index, fixing the given one if necessary
145 * \param ind - node index
146 * \param nbNodes - total nb of nodes
147 * \retval int - valid node index
149 static inline int WrapIndex(int ind, const int nbNodes) {
150 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
154 * \brief Return UV of a point inside a quadrilateral FACE by it's
155 * normalized parameters within a unit quadrangle and the
156 * corresponding projections on sub-shapes of the real-world FACE.
157 * The used calculation method is called Trans-Finite Interpolation (TFI).
158 * \param x,y - normalized parameters that should be in range [0,1]
159 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
160 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
161 * \return gp_XY - UV of the point on the FACE
163 * Y ^ Order of those UV in the FACE is as follows.
171 * o---x-----o ----> X
174 inline static gp_XY calcTFI(double x, double y,
175 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
176 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
179 * \brief Same as "gp_XY calcTFI(...)" but in 3D
181 inline static gp_XYZ calcTFI(double x, double y,
182 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
183 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
185 * \brief Count nb of sub-shapes
186 * \param shape - the shape
187 * \param type - the type of sub-shapes to count
188 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
189 * \retval int - the calculated number
191 static int Count(const TopoDS_Shape& shape,
192 const TopAbs_ShapeEnum type,
193 const bool ignoreSame);
196 * \brief Return number of unique ancestors of the shape
198 static int NbAncestors(const TopoDS_Shape& shape,
199 const SMESH_Mesh& mesh,
200 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
202 * \brief Return iterator on ancestors of the given type
204 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
205 const SMESH_Mesh& mesh,
206 TopAbs_ShapeEnum ancestorType);
208 * \brief Find a common ancestor, of the given type, of two shapes
210 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
211 const TopoDS_Shape& shape2,
212 const SMESH_Mesh& mesh,
213 TopAbs_ShapeEnum ancestorType);
215 * \brief Return orientation of sub-shape in the main shape
217 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
218 const TopoDS_Shape& subShape);
220 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
222 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
224 static double MaxTolerance( const TopoDS_Shape& shape );
226 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
227 const TopoDS_Face & F, const TopoDS_Vertex & V,
228 gp_Vec* faceNormal=0);
230 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
232 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
234 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
235 const bool avoidCompound=false);
239 // ---------- PUBLIC INSTANCE METHODS ----------
242 SMESH_MesherHelper(SMESH_Mesh& theMesh);
244 SMESH_Mesh* GetMesh() const { return myMesh; }
246 SMESHDS_Mesh* GetMeshDS() const { return GetMesh()->GetMeshDS(); }
249 * Check submesh for given shape: if all elements on this shape are quadratic,
250 * quadratic elements will be created. Also fill myTLinkNodeMap
252 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
254 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
258 * \brief Set myCreateQuadratic flag
260 void SetIsQuadratic(const bool theBuildQuadratic)
261 { myCreateQuadratic = theBuildQuadratic; }
264 * \brief Set myCreateBiQuadratic flag
266 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
267 { myCreateBiQuadratic = theBuildBiQuadratic; }
270 * \brief Return myCreateQuadratic flag
272 bool GetIsQuadratic() const { return myCreateQuadratic; }
275 * \brief Find out elements orientation on a geometrical face
277 bool IsReversedSubMesh (const TopoDS_Face& theFace);
280 * \brief Return myCreateBiQuadratic flag
282 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
285 * \brief Move medium nodes of faces and volumes to fix distorted elements
286 * \param error - container of fixed distorted elements
287 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
289 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
292 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
293 * or the next methods. By defaul elements are set on the shape if
294 * a mesh has no shape to be meshed
296 bool SetElementsOnShape(bool toSet)
297 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
300 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
302 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
303 void SetSubShape(const TopoDS_Shape& subShape);
305 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
306 * \retval int - shape index in SMESHDS
308 int GetSubShapeID() const { return myShapeID; }
310 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
312 const TopoDS_Shape& GetSubShape() const { return myShape; }
315 * Creates a node (!Note ID before u=0.,v0.)
317 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
319 * Creates quadratic or linear edge
321 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
322 const SMDS_MeshNode* n2,
324 const bool force3d = true);
326 * Creates quadratic or linear triangle
328 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
329 const SMDS_MeshNode* n2,
330 const SMDS_MeshNode* n3,
332 const bool force3d = false);
334 * Creates bi-quadratic, quadratic or linear quadrangle
336 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
337 const SMDS_MeshNode* n2,
338 const SMDS_MeshNode* n3,
339 const SMDS_MeshNode* n4,
341 const bool force3d = false);
343 * Creates polygon, with additional nodes in quadratic mesh
345 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
347 const bool force3d = false);
349 * Creates quadratic or linear tetrahedron
351 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
352 const SMDS_MeshNode* n2,
353 const SMDS_MeshNode* n3,
354 const SMDS_MeshNode* n4,
356 const bool force3d = true);
358 * Creates quadratic or linear pyramid
360 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
361 const SMDS_MeshNode* n2,
362 const SMDS_MeshNode* n3,
363 const SMDS_MeshNode* n4,
364 const SMDS_MeshNode* n5,
366 const bool force3d = true);
368 * Creates quadratic or linear pentahedron
370 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
371 const SMDS_MeshNode* n2,
372 const SMDS_MeshNode* n3,
373 const SMDS_MeshNode* n4,
374 const SMDS_MeshNode* n5,
375 const SMDS_MeshNode* n6,
377 const bool force3d = true);
379 * Creates bi-quadratic, quadratic or linear hexahedron
381 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
382 const SMDS_MeshNode* n2,
383 const SMDS_MeshNode* n3,
384 const SMDS_MeshNode* n4,
385 const SMDS_MeshNode* n5,
386 const SMDS_MeshNode* n6,
387 const SMDS_MeshNode* n7,
388 const SMDS_MeshNode* n8,
390 bool force3d = true);
393 * Creates LINEAR!!!!!!!!! octahedron
395 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
396 const SMDS_MeshNode* n2,
397 const SMDS_MeshNode* n3,
398 const SMDS_MeshNode* n4,
399 const SMDS_MeshNode* n5,
400 const SMDS_MeshNode* n6,
401 const SMDS_MeshNode* n7,
402 const SMDS_MeshNode* n8,
403 const SMDS_MeshNode* n9,
404 const SMDS_MeshNode* n10,
405 const SMDS_MeshNode* n11,
406 const SMDS_MeshNode* n12,
408 bool force3d = true);
411 * Creates polyhedron. In quadratic mesh, adds medium nodes
413 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
414 const std::vector<int>& quantities,
416 const bool force3d = true);
418 * \brief Enables fixing node parameters on EDGEs and FACEs by
419 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
420 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
423 void ToFixNodeParameters(bool toFix);
426 * \brief Return U of the given node on the edge
428 double GetNodeU(const TopoDS_Edge& theEdge,
429 const SMDS_MeshNode* theNode,
430 const SMDS_MeshNode* inEdgeNode=0,
431 bool* check=0) const;
433 * \brief Return node UV on face
434 * \param inFaceNode - a node of element being created located inside a face
435 * \param check - if provided, returns result of UV check that it enforces
437 gp_XY GetNodeUV(const TopoDS_Face& F,
438 const SMDS_MeshNode* n,
439 const SMDS_MeshNode* inFaceNode=0,
440 bool* check=0) const;
442 * \brief Check and fix node UV on a face
443 * \param force - check even if checks of other nodes on this face passed OK
444 * \param distXYZ - returns result distance and point coordinates
445 * \retval bool - false if UV is bad and could not be fixed
447 bool CheckNodeUV(const TopoDS_Face& F,
448 const SMDS_MeshNode* n,
451 const bool force=false,
452 double distXYZ[4]=0) const;
454 * \brief Check and fix node U on an edge
455 * \param force - check even if checks of other nodes on this edge passed OK
456 * \param distXYZ - returns result distance and point coordinates
457 * \retval bool - false if U is bad and could not be fixed
459 bool CheckNodeU(const TopoDS_Edge& E,
460 const SMDS_MeshNode* n,
463 const bool force=false,
464 double distXYZ[4]=0) const;
466 * \brief Return middle UV taking in account surface period
468 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
472 * \brief Return UV for the central node of a biquadratic triangle
474 static gp_XY GetCenterUV(const gp_XY& uv1,
482 * \brief Define a pointer to wrapper over a function of gp_XY class,
483 * suitable to pass as xyFunPtr to applyIn2D().
484 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
485 * calling gp_XY::Added(gp_XY), which is to be used like following
486 * applyIn2D(surf, uv1, uv2, gp_XY_Added)
488 #define gp_XY_FunPtr(meth) \
489 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
490 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
493 * \brief Perform given operation on two 2d points in parameric space of given surface.
494 * It takes into account period of the surface. Use gp_XY_FunPtr macro
495 * to easily define pointer to function of gp_XY class.
497 static gp_XY applyIn2D(const Handle(Geom_Surface)& surface,
501 const bool resultInPeriod=true);
504 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
505 * \retval bool - return true if the face is periodic
507 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
510 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
513 * \brief Return projector intitialized by given face without location, which is returned
515 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
516 TopLoc_Location& loc,
517 double tol=0 ) const;
520 * \brief Check if shape is a degenerated edge or it's vertex
521 * \param subShape - edge or vertex index in SMESHDS
522 * \retval bool - true if subShape is a degenerated shape
524 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
526 bool IsDegenShape(const int subShape) const
527 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
529 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
530 * has a degenerated edges
531 * \retval bool - true if it has
533 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
536 * \brief Check if shape is a seam edge or it's vertex
537 * \param subShape - edge or vertex index in SMESHDS
538 * \retval bool - true if subShape is a seam shape
540 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
541 * Seam shape has two 2D alternative represenations on the face
543 bool IsSeamShape(const int subShape) const
544 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
546 * \brief Check if shape is a seam edge or it's vertex
547 * \param subShape - edge or vertex
548 * \retval bool - true if subShape is a seam shape
550 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
551 * Seam shape has two 2D alternative represenations on the face
553 bool IsSeamShape(const TopoDS_Shape& subShape) const
554 { return IsSeamShape( GetMeshDS()->ShapeToIndex( subShape )); }
556 * \brief Return true if an edge or a vertex encounters twice in face wire
557 * \param subShape - Id of edge or vertex
559 bool IsRealSeam(const int subShape) const
560 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
562 * \brief Return true if an edge or a vertex encounters twice in face wire
563 * \param subShape - edge or vertex
565 bool IsRealSeam(const TopoDS_Shape& subShape) const
566 { return IsRealSeam( GetMeshDS()->ShapeToIndex( subShape)); }
568 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
569 * has a seam edge, i.e. an edge that has two parametric representations
571 * \retval bool - true if it has
573 bool HasSeam() const { return !mySeamShapeIds.empty(); }
575 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
576 * has a seam edge that encounters twice in a wire
577 * \retval bool - true if it has
579 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
581 * \brief Return index of periodic parametric direction of a closed face
582 * \retval int - 1 for U, 2 for V direction
584 int GetPeriodicIndex() const { return myParIndex; }
586 * \brief Return an alternative parameter for a node on seam
588 double GetOtherParam(const double param) const;
591 * \brief Return existing or create new medium nodes between given ones
592 * \param force3d - true means node creation at the middle between the
593 * two given nodes, else node position is found on its
594 * supporting geometrical shape, if any.
596 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
597 const SMDS_MeshNode* n2,
600 * \brief Return existing or create a new central node for a quardilateral
601 * quadratic face given its 8 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* n4,
609 const SMDS_MeshNode* n12,
610 const SMDS_MeshNode* n23,
611 const SMDS_MeshNode* n34,
612 const SMDS_MeshNode* n41,
615 * \brief Return existing or create a new central node for a
616 * quadratic triangle given its 6 nodes.
617 * \param force3d - true means node creation in between the given nodes,
618 * else node position is found on a geometrical face if any.
620 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
621 const SMDS_MeshNode* n2,
622 const SMDS_MeshNode* n3,
623 const SMDS_MeshNode* n12,
624 const SMDS_MeshNode* n23,
625 const SMDS_MeshNode* n31,
628 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
630 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
631 const SMDS_MeshNode* n2,
632 const bool useCurSubShape=false);
634 * \brief Add a link in my data structure
636 void AddTLinkNode(const SMDS_MeshNode* n1,
637 const SMDS_MeshNode* n2,
638 const SMDS_MeshNode* n12);
640 * \brief Add many links in my data structure
642 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
643 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
645 bool AddTLinks(const SMDS_MeshEdge* edge);
646 bool AddTLinks(const SMDS_MeshFace* face);
647 bool AddTLinks(const SMDS_MeshVolume* vol);
650 * Returns myTLinkNodeMap
652 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
655 * Check mesh without geometry for: if all elements on this shape are quadratic,
656 * quadratic elements will be created.
657 * Used then generated 3D mesh without geometry.
659 enum MType{ LINEAR, QUADRATIC, COMP };
660 MType IsQuadraticMesh();
662 virtual ~SMESH_MesherHelper();
667 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
668 * \param uv1 - UV on the seam
669 * \param uv2 - UV within a face
670 * \retval gp_Pnt2d - selected UV
672 gp_Pnt2d GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
674 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
675 const SMDS_MeshNode* n2,
679 // Forbiden copy constructor
680 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
682 // key of a map of bi-quadratic face to it's central node
683 struct TBiQuad: public std::pair<int, std::pair<int, int> >
685 TBiQuad(const SMDS_MeshNode* n1,
686 const SMDS_MeshNode* n2,
687 const SMDS_MeshNode* n3,
688 const SMDS_MeshNode* n4=0)
694 if ( n4 ) s.insert(n4);
695 TIDSortedNodeSet::iterator n = s.begin();
696 first = (*n++)->GetID();
697 second.first = (*n++)->GetID();
698 second.second = (*n++)->GetID();
702 // maps used during creation of quadratic elements
703 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
704 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
706 std::set< int > myDegenShapeIds;
707 std::set< int > mySeamShapeIds;
708 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
709 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
711 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
712 TID2ProjectorOnSurf myFace2Projector;
713 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
714 TID2ProjectorOnCurve myEdge2Projector;
716 TopoDS_Shape myShape;
720 bool myCreateQuadratic;
721 bool myCreateBiQuadratic;
722 bool mySetElemOnShape;
723 bool myFixNodeParameters;
725 std::map< int,bool > myNodePosShapesValidity;
726 bool toCheckPosOnShape(int shapeID ) const;
727 void setPosOnShapeValidity(int shapeID, bool ok ) const;
730 //=======================================================================
732 SMESH_MesherHelper::calcTFI(double x, double y,
733 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
734 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
737 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
738 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
740 //=======================================================================
742 SMESH_MesherHelper::calcTFI(double x, double y,
743 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
744 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
747 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
748 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
750 //=======================================================================