1 // Copyright (C) 2007-2012 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.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESH_ProxyMesh.hxx"
35 #include "SMESH_subMesh.hxx"
37 #include <BRepAdaptor_Curve.hxx>
38 #include <BRepAdaptor_Surface.hxx>
39 #include <BRepClass3d_SolidClassifier.hxx>
40 #include <BRepTools.hxx>
41 #include <BRepTools_WireExplorer.hxx>
42 #include <BRep_Tool.hxx>
43 #include <Geom2d_Curve.hxx>
44 #include <GeomAPI_ProjectPointOnCurve.hxx>
45 #include <GeomAPI_ProjectPointOnSurf.hxx>
46 #include <Geom_Curve.hxx>
47 #include <Geom_RectangularTrimmedSurface.hxx>
48 #include <Geom_Surface.hxx>
49 #include <ShapeAnalysis.hxx>
51 #include <TopExp_Explorer.hxx>
52 #include <TopTools_ListIteratorOfListOfShape.hxx>
53 #include <TopTools_MapIteratorOfMapOfShape.hxx>
54 #include <TopTools_MapOfShape.hxx>
57 #include <gp_Pnt2d.hxx>
58 #include <gp_Trsf.hxx>
60 #include <Standard_Failure.hxx>
61 #include <Standard_ErrorHandler.hxx>
63 #include <utilities.h>
69 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
73 gp_XYZ XYZ(const SMDS_MeshNode* n) { return gp_XYZ(n->X(), n->Y(), n->Z()); }
75 enum { U_periodic = 1, V_periodic = 2 };
78 //================================================================================
82 //================================================================================
84 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
85 : myParIndex(0), myMesh(&theMesh), myShapeID(0), myCreateQuadratic(false),
86 myFixNodeParameters(false)
88 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
89 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
92 //=======================================================================
93 //function : ~SMESH_MesherHelper
95 //=======================================================================
97 SMESH_MesherHelper::~SMESH_MesherHelper()
100 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
101 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
102 delete i_proj->second;
105 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
106 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
107 delete i_proj->second;
111 //=======================================================================
112 //function : IsQuadraticSubMesh
113 //purpose : Check submesh for given shape: if all elements on this shape
114 // are quadratic, quadratic elements will be created.
115 // Also fill myTLinkNodeMap
116 //=======================================================================
118 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
120 SMESHDS_Mesh* meshDS = GetMeshDS();
121 // we can create quadratic elements only if all elements
122 // created on sub-shapes of given shape are quadratic
123 // also we have to fill myTLinkNodeMap
124 myCreateQuadratic = true;
125 mySeamShapeIds.clear();
126 myDegenShapeIds.clear();
127 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
128 if ( aSh.ShapeType()==TopAbs_COMPOUND )
130 TopoDS_Iterator subIt( aSh );
132 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
134 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
137 int nbOldLinks = myTLinkNodeMap.size();
139 if ( !myMesh->HasShapeToMesh() )
141 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
143 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
144 while ( fIt->more() )
145 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
150 TopExp_Explorer exp( aSh, subType );
151 TopTools_MapOfShape checkedSubShapes;
152 for (; exp.More() && myCreateQuadratic; exp.Next()) {
153 if ( !checkedSubShapes.Add( exp.Current() ))
154 continue; // needed if aSh is compound of solids
155 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
156 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
158 const SMDS_MeshElement* e = it->next();
159 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
160 myCreateQuadratic = false;
165 switch ( e->NbNodes() ) {
167 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
169 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
170 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
171 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
173 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
174 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
175 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
176 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
179 myCreateQuadratic = false;
189 if ( nbOldLinks == myTLinkNodeMap.size() )
190 myCreateQuadratic = false;
192 if(!myCreateQuadratic) {
193 myTLinkNodeMap.clear();
197 return myCreateQuadratic;
200 //=======================================================================
201 //function : SetSubShape
202 //purpose : Set geomerty to make elements on
203 //=======================================================================
205 void SMESH_MesherHelper::SetSubShape(const int aShID)
207 if ( aShID == myShapeID )
210 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
212 SetSubShape( TopoDS_Shape() );
215 //=======================================================================
216 //function : SetSubShape
217 //purpose : Set geomerty to create elements on
218 //=======================================================================
220 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
222 if ( myShape.IsSame( aSh ))
226 mySeamShapeIds.clear();
227 myDegenShapeIds.clear();
229 if ( myShape.IsNull() ) {
233 SMESHDS_Mesh* meshDS = GetMeshDS();
234 myShapeID = meshDS->ShapeToIndex(aSh);
237 // treatment of periodic faces
238 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
240 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
242 Handle(Geom_Surface) surface = BRep_Tool::Surface( face, loc );
244 if ( surface->IsUPeriodic() || surface->IsVPeriodic() ||
245 surface->IsUClosed() || surface->IsVClosed() )
247 //while ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
248 //surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
249 GeomAdaptor_Surface surf( surface );
251 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
253 // look for a seam edge
254 const TopoDS_Edge& edge = TopoDS::Edge( exp.Current() );
255 if ( BRep_Tool::IsClosed( edge, face )) {
256 // initialize myPar1, myPar2 and myParIndex
258 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
259 if ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Abs( uv1.Coord(2) - uv2.Coord(2) ))
261 myParIndex |= U_periodic;
262 myPar1[0] = surf.FirstUParameter();
263 myPar2[0] = surf.LastUParameter();
266 myParIndex |= V_periodic;
267 myPar1[1] = surf.FirstVParameter();
268 myPar2[1] = surf.LastVParameter();
270 // store seam shape indices, negative if shape encounters twice
271 int edgeID = meshDS->ShapeToIndex( edge );
272 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
273 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
274 int vertexID = meshDS->ShapeToIndex( v.Current() );
275 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
279 // look for a degenerated edge
280 if ( BRep_Tool::Degenerated( edge )) {
281 myDegenShapeIds.insert( meshDS->ShapeToIndex( edge ));
282 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
283 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
290 //=======================================================================
291 //function : GetNodeUVneedInFaceNode
292 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
293 // Return true if the face is periodic.
294 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
296 //=======================================================================
298 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
300 if ( F.IsNull() ) return !mySeamShapeIds.empty();
302 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
303 return !mySeamShapeIds.empty();
306 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
307 if ( !aSurface.IsNull() )
308 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
313 //=======================================================================
314 //function : IsMedium
316 //=======================================================================
318 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
319 const SMDSAbs_ElementType typeToCheck)
321 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
324 //=======================================================================
325 //function : GetSubShapeByNode
326 //purpose : Return support shape of a node
327 //=======================================================================
329 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
330 const SMESHDS_Mesh* meshDS)
332 int shapeID = node->getshapeId();
333 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
334 return meshDS->IndexToShape( shapeID );
336 return TopoDS_Shape();
340 //=======================================================================
341 //function : AddTLinkNode
342 //purpose : add a link in my data structure
343 //=======================================================================
345 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
346 const SMDS_MeshNode* n2,
347 const SMDS_MeshNode* n12)
349 // add new record to map
350 SMESH_TLink link( n1, n2 );
351 myTLinkNodeMap.insert( make_pair(link,n12));
354 //================================================================================
356 * \brief Add quadratic links of edge to own data structure
358 //================================================================================
360 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
362 if ( edge->IsQuadratic() )
363 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
366 //================================================================================
368 * \brief Add quadratic links of face to own data structure
370 //================================================================================
372 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
375 switch ( f->NbNodes() ) {
377 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
378 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
379 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
381 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
382 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
383 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
384 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7));
389 //================================================================================
391 * \brief Add quadratic links of volume to own data structure
393 //================================================================================
395 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
397 if ( volume->IsQuadratic() )
399 SMDS_VolumeTool vTool( volume );
400 const SMDS_MeshNode** nodes = vTool.GetNodes();
402 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
404 const int nbN = vTool.NbFaceNodes( iF );
405 const int* iNodes = vTool.GetFaceNodesIndices( iF );
406 for ( int i = 0; i < nbN; )
408 int iN1 = iNodes[i++];
409 int iN12 = iNodes[i++];
411 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
412 int linkID = iN1 * vTool.NbNodes() + iN2;
413 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
414 if ( it_isNew.second )
415 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
417 addedLinks.erase( it_isNew.first ); // each link encounters only twice
423 //================================================================================
425 * \brief Return true if position of nodes on the shape hasn't yet been checked or
426 * the positions proved to be invalid
428 //================================================================================
430 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
432 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
433 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
436 //================================================================================
438 * \brief Set validity of positions of nodes on the shape.
439 * Once set, validity is not changed
441 //================================================================================
443 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
445 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok));
448 //=======================================================================
449 //function : ToFixNodeParameters
450 //purpose : Enables fixing node parameters on EDGEs and FACEs in
451 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
452 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
454 //=======================================================================
456 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
458 myFixNodeParameters = toFix;
462 //=======================================================================
463 //function : GetUVOnSeam
464 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
465 //=======================================================================
467 gp_Pnt2d SMESH_MesherHelper::GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
469 gp_Pnt2d result = uv1;
470 for ( int i = U_periodic; i <= V_periodic ; ++i )
472 if ( myParIndex & i )
474 double p1 = uv1.Coord( i );
475 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
476 if ( myParIndex == i ||
477 dp1 < ( myPar2[i-1] - myPar2[i-1] ) / 100. ||
478 dp2 < ( myPar2[i-1] - myPar2[i-1] ) / 100. )
480 double p2 = uv2.Coord( i );
481 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
482 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
483 result.SetCoord( i, p1Alt );
490 //=======================================================================
491 //function : GetNodeUV
492 //purpose : Return node UV on face
493 //=======================================================================
495 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
496 const SMDS_MeshNode* n,
497 const SMDS_MeshNode* n2,
500 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
501 const SMDS_PositionPtr Pos = n->GetPosition();
503 if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE)
505 // node has position on face
506 const SMDS_FacePosition* fpos =
507 static_cast<const SMDS_FacePosition*>(n->GetPosition());
508 uv.SetCoord(fpos->GetUParameter(),fpos->GetVParameter());
510 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
512 else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE)
514 // node has position on edge => it is needed to find
515 // corresponding edge from face, get pcurve for this
516 // edge and retrieve value from this pcurve
517 const SMDS_EdgePosition* epos =
518 static_cast<const SMDS_EdgePosition*>(n->GetPosition());
519 int edgeID = n->getshapeId();
520 TopoDS_Edge E = TopoDS::Edge(GetMeshDS()->IndexToShape(edgeID));
521 double f, l, u = epos->GetUParameter();
522 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
523 bool validU = ( f < u && u < l );
525 uv = C2d->Value( u );
527 uv.SetCoord( Precision::Infinite(),0.);
528 if ( check || !validU )
529 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ),/*force=*/ !validU );
531 // for a node on a seam edge select one of UVs on 2 pcurves
532 if ( n2 && IsSeamShape( edgeID ) )
534 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
537 { // adjust uv to period
539 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
540 Standard_Boolean isUPeriodic = S->IsUPeriodic();
541 Standard_Boolean isVPeriodic = S->IsVPeriodic();
542 if ( isUPeriodic || isVPeriodic ) {
543 Standard_Real UF,UL,VF,VL;
544 S->Bounds(UF,UL,VF,VL);
546 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
548 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
552 else if(Pos->GetTypeOfPosition()==SMDS_TOP_VERTEX)
554 if ( int vertexID = n->getshapeId() ) {
555 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
557 uv = BRep_Tool::Parameters( V, F );
560 catch (Standard_Failure& exc) {
563 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
564 uvOK = ( V == vert.Current() );
567 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
568 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
570 // get UV of a vertex closest to the node
572 gp_Pnt pn = XYZ( n );
573 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() ) {
574 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
575 gp_Pnt p = BRep_Tool::Pnt( curV );
576 double curDist = p.SquareDistance( pn );
577 if ( curDist < dist ) {
579 uv = BRep_Tool::Parameters( curV, F );
580 uvOK = ( dist < DBL_MIN );
586 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
587 for ( ; it.More(); it.Next() ) {
588 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
589 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
591 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
592 if ( !C2d.IsNull() ) {
593 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
594 uv = C2d->Value( u );
602 if ( n2 && IsSeamShape( vertexID ) )
603 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
608 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
617 //=======================================================================
618 //function : CheckNodeUV
619 //purpose : Check and fix node UV on a face
620 //=======================================================================
622 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
623 const SMDS_MeshNode* n,
627 double distXYZ[4]) const
629 int shapeID = n->getshapeId();
630 bool infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ));
631 if ( force || toCheckPosOnShape( shapeID ) || infinit )
633 // check that uv is correct
635 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
636 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
638 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
640 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
642 setPosOnShapeValidity( shapeID, false );
643 if ( !infinit && distXYZ ) {
644 surfPnt.Transform( loc );
646 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
648 // uv incorrect, project the node to surface
649 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
650 projector.Perform( nodePnt );
651 if ( !projector.IsDone() || projector.NbPoints() < 1 )
653 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
656 Quantity_Parameter U,V;
657 projector.LowerDistanceParameters(U,V);
659 surfPnt = surface->Value( U, V );
660 dist = nodePnt.Distance( surfPnt );
662 surfPnt.Transform( loc );
664 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
668 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
671 // store the fixed UV on the face
672 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
673 const_cast<SMDS_MeshNode*>(n)->SetPosition
674 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
676 else if ( uv.Modulus() > numeric_limits<double>::min() )
678 setPosOnShapeValidity( shapeID, true );
684 //=======================================================================
685 //function : GetProjector
686 //purpose : Return projector intitialized by given face without location, which is returned
687 //=======================================================================
689 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
690 TopLoc_Location& loc,
693 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
694 int faceID = GetMeshDS()->ShapeToIndex( F );
695 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
696 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
697 if ( i_proj == i2proj.end() )
699 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
700 double U1, U2, V1, V2;
701 surface->Bounds(U1, U2, V1, V2);
702 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
703 proj->Init( surface, U1, U2, V1, V2, tol );
704 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
706 return *( i_proj->second );
711 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
712 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
713 gp_XY_FunPtr(Subtracted);
716 //=======================================================================
717 //function : applyIn2D
718 //purpose : Perform given operation on two 2d points in parameric space of given surface.
719 // It takes into account period of the surface. Use gp_XY_FunPtr macro
720 // to easily define pointer to function of gp_XY class.
721 //=======================================================================
723 gp_XY SMESH_MesherHelper::applyIn2D(const Handle(Geom_Surface)& surface,
727 const bool resultInPeriod)
729 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
730 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
731 if ( !isUPeriodic && !isVPeriodic )
734 // move uv2 not far than half-period from uv1
736 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
738 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
741 gp_XY res = fun( uv1, gp_XY(u2,v2) );
743 // move result within period
744 if ( resultInPeriod )
746 Standard_Real UF,UL,VF,VL;
747 surface->Bounds(UF,UL,VF,VL);
749 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
751 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
756 //=======================================================================
757 //function : GetMiddleUV
758 //purpose : Return middle UV taking in account surface period
759 //=======================================================================
761 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
766 // the proper place of getting basic surface seems to be in applyIn2D()
767 // but we put it here to decrease a risk of regressions just before releasing a version
768 Handle(Geom_Surface) surf = surface;
769 while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
770 surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
772 return applyIn2D( surf, p1, p2, & AverageUV );
775 //=======================================================================
776 //function : GetNodeU
777 //purpose : Return node U on edge
778 //=======================================================================
780 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
781 const SMDS_MeshNode* n,
782 const SMDS_MeshNode* inEdgeNode,
786 const SMDS_PositionPtr pos = n->GetPosition();
787 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
789 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
790 param = epos->GetUParameter();
792 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
794 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
797 BRep_Tool::Range( E, f,l );
798 double uInEdge = GetNodeU( E, inEdgeNode );
799 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
803 SMESHDS_Mesh * meshDS = GetMeshDS();
804 int vertexID = n->getshapeId();
805 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
806 param = BRep_Tool::Parameter( V, E );
811 double tol = BRep_Tool::Tolerance( E );
812 double f,l; BRep_Tool::Range( E, f,l );
813 bool force = ( param < f-tol || param > l+tol );
814 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
815 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
817 *check = CheckNodeU( E, n, param, 2*tol, force );
822 //=======================================================================
823 //function : CheckNodeU
824 //purpose : Check and fix node U on an edge
825 // Return false if U is bad and could not be fixed
826 //=======================================================================
828 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
829 const SMDS_MeshNode* n,
833 double distXYZ[4]) const
835 int shapeID = n->getshapeId();
836 if ( force || toCheckPosOnShape( shapeID ))
838 TopLoc_Location loc; double f,l;
839 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
840 if ( curve.IsNull() ) // degenerated edge
842 if ( u+tol < f || u-tol > l )
844 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
850 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
851 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
852 gp_Pnt curvPnt = curve->Value( u );
853 double dist = nodePnt.Distance( curvPnt );
855 curvPnt.Transform( loc );
857 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
861 setPosOnShapeValidity( shapeID, false );
862 // u incorrect, project the node to the curve
863 int edgeID = GetMeshDS()->ShapeToIndex( E );
864 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
865 TID2ProjectorOnCurve::iterator i_proj =
866 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
867 if ( !i_proj->second )
869 i_proj->second = new GeomAPI_ProjectPointOnCurve();
870 i_proj->second->Init( curve, f, l );
872 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
873 projector->Perform( nodePnt );
874 if ( projector->NbPoints() < 1 )
876 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
879 Quantity_Parameter U = projector->LowerDistanceParameter();
881 curvPnt = curve->Value( u );
882 dist = nodePnt.Distance( curvPnt );
884 curvPnt.Transform( loc );
886 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
890 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
891 MESSAGE("distance " << dist << " " << tol );
894 // store the fixed U on the edge
895 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
896 const_cast<SMDS_MeshNode*>(n)->SetPosition
897 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
899 else if ( fabs( u ) > numeric_limits<double>::min() )
901 setPosOnShapeValidity( shapeID, true );
903 if (( u < f-tol || u > l+tol ) && force )
905 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
908 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
909 double period = curve->Period();
910 u = ( u < f ) ? u + period : u - period;
912 catch (Standard_Failure& exc)
922 //=======================================================================
923 //function : GetMediumPos
924 //purpose : Return index and type of the shape (EDGE or FACE only) to
925 // set a medium node on
926 //=======================================================================
928 std::pair<int, TopAbs_ShapeEnum> SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
929 const SMDS_MeshNode* n2)
931 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
935 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
937 shapeType = myShape.ShapeType();
940 else if ( n1->getshapeId() == n2->getshapeId() )
942 shapeID = n2->getshapeId();
943 shape = GetSubShapeByNode( n1, GetMeshDS() );
947 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
948 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
950 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
953 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
955 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE )
957 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
958 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
959 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
960 if ( IsSubShape( S, F ))
962 shapeType = TopAbs_FACE;
963 shapeID = n1->getshapeId();
967 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
969 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
970 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
971 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
973 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
975 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
976 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
977 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
978 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
980 else // VERTEX and EDGE
982 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
983 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
984 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
985 if ( IsSubShape( V, E ))
988 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
992 if ( !shape.IsNull() )
995 shapeID = GetMeshDS()->ShapeToIndex( shape );
996 shapeType = shape.ShapeType();
998 return make_pair( shapeID, shapeType );
1001 //=======================================================================
1002 //function : GetMediumNode
1003 //purpose : Return existing or create new medium nodes between given ones
1004 //=======================================================================
1006 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1007 const SMDS_MeshNode* n2,
1010 // Find existing node
1012 SMESH_TLink link(n1,n2);
1013 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1014 if ( itLN != myTLinkNodeMap.end() ) {
1015 return (*itLN).second;
1018 // Create medium node
1021 SMESHDS_Mesh* meshDS = GetMeshDS();
1023 if ( IsSeamShape( n1->getshapeId() ))
1024 // to get a correct UV of a node on seam, the second node must have checked UV
1025 std::swap( n1, n2 );
1027 // get type of shape for the new medium node
1028 int faceID = -1, edgeID = -1;
1029 TopoDS_Edge E; double u [2];
1030 TopoDS_Face F; gp_XY uv[2];
1031 bool uvOK[2] = { false, false };
1033 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2 );
1035 // get positions of the given nodes on shapes
1036 if ( pos.second == TopAbs_FACE )
1038 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1039 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1040 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1042 else if ( pos.second == TopAbs_EDGE )
1044 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1045 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1046 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1047 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1048 n1->getshapeId() != n2->getshapeId() )
1051 return getMediumNodeOnComposedWire(n1,n2,force3d);
1053 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1054 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1055 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1058 if ( !force3d & uvOK[0] && uvOK[1] )
1060 // we try to create medium node using UV parameters of
1061 // nodes, else - medium between corresponding 3d points
1064 //if ( uvOK[0] && uvOK[1] )
1066 if ( IsDegenShape( n1->getshapeId() )) {
1067 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1068 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1070 else if ( IsDegenShape( n2->getshapeId() )) {
1071 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1072 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1075 TopLoc_Location loc;
1076 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1077 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1078 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1079 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1080 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1081 myTLinkNodeMap.insert(make_pair(link,n12));
1085 else if ( !E.IsNull() )
1088 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1091 Standard_Boolean isPeriodic = C->IsPeriodic();
1094 Standard_Real Period = C->Period();
1095 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1096 Standard_Real pmid = (u[0]+p)/2.;
1097 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1102 gp_Pnt P = C->Value( U );
1103 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1104 meshDS->SetNodeOnEdge(n12, edgeID, U);
1105 myTLinkNodeMap.insert(make_pair(link,n12));
1112 double x = ( n1->X() + n2->X() )/2.;
1113 double y = ( n1->Y() + n2->Y() )/2.;
1114 double z = ( n1->Z() + n2->Z() )/2.;
1115 n12 = meshDS->AddNode(x,y,z);
1119 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1120 CheckNodeUV( F, n12, UV, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1121 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1123 else if ( !E.IsNull() )
1125 double U = ( u[0] + u[1] ) / 2.;
1126 CheckNodeU( E, n12, U, 2*BRep_Tool::Tolerance( E ), /*force=*/true);
1127 meshDS->SetNodeOnEdge(n12, edgeID, U);
1129 else if ( myShapeID > 0 )
1131 meshDS->SetNodeInVolume(n12, myShapeID);
1134 myTLinkNodeMap.insert( make_pair( link, n12 ));
1138 //================================================================================
1140 * \brief Makes a medium node if nodes reside different edges
1142 //================================================================================
1144 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1145 const SMDS_MeshNode* n2,
1148 gp_Pnt middle = 0.5 * XYZ(n1) + 0.5 * XYZ(n2);
1149 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1151 // To find position on edge and 3D position for n12,
1152 // project <middle> to 2 edges and select projection most close to <middle>
1154 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4];
1156 TopoDS_Edge edges[2];
1157 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1160 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1161 TopoDS_Shape shape = GetSubShapeByNode( n, GetMeshDS() );
1162 if ( shape.IsNull() || shape.ShapeType() != TopAbs_EDGE )
1165 // project to get U of projection and distance from middle to projection
1166 TopoDS_Edge edge = edges[ is2nd ] = TopoDS::Edge( shape );
1167 double node2MiddleDist = middle.Distance( XYZ(n) );
1168 double foundU = GetNodeU( edge, n );
1169 CheckNodeU( edge, n12, foundU, 2*BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1170 if ( distXYZ[0] < node2MiddleDist )
1172 distMiddleProj = distXYZ[0];
1177 if ( Precision::IsInfinite( distMiddleProj ))
1179 // both projections failed; set n12 on the edge of n1 with U of a common vertex
1180 TopoDS_Vertex vCommon;
1181 if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1182 u = BRep_Tool::Parameter( vCommon, edges[0] );
1185 double f,l, u0 = GetNodeU( edges[0], n1 );
1186 BRep_Tool::Range( edges[0],f,l );
1187 u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1193 // move n12 to position of a successfull projection
1194 double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1195 if ( !force3d && distMiddleProj > 2*tol )
1197 TopLoc_Location loc; double f,l;
1198 Handle(Geom_Curve) curve = BRep_Tool::Curve( edges[iOkEdge],loc,f,l );
1199 gp_Pnt p = curve->Value( u );
1200 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1203 GetMeshDS()->SetNodeOnEdge(n12, edges[iOkEdge], u);
1205 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1210 //=======================================================================
1211 //function : AddNode
1212 //purpose : Creates a node
1213 //=======================================================================
1215 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1218 SMESHDS_Mesh * meshDS = GetMeshDS();
1219 SMDS_MeshNode* node = 0;
1221 node = meshDS->AddNodeWithID( x, y, z, ID );
1223 node = meshDS->AddNode( x, y, z );
1224 if ( mySetElemOnShape && myShapeID > 0 ) {
1225 switch ( myShape.ShapeType() ) {
1226 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1227 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1228 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1229 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1230 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1237 //=======================================================================
1238 //function : AddEdge
1239 //purpose : Creates quadratic or linear edge
1240 //=======================================================================
1242 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1243 const SMDS_MeshNode* n2,
1247 SMESHDS_Mesh * meshDS = GetMeshDS();
1249 SMDS_MeshEdge* edge = 0;
1250 if (myCreateQuadratic) {
1251 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1253 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1255 edge = meshDS->AddEdge(n1, n2, n12);
1259 edge = meshDS->AddEdgeWithID(n1, n2, id);
1261 edge = meshDS->AddEdge(n1, n2);
1264 if ( mySetElemOnShape && myShapeID > 0 )
1265 meshDS->SetMeshElementOnShape( edge, myShapeID );
1270 //=======================================================================
1271 //function : AddFace
1272 //purpose : Creates quadratic or linear triangle
1273 //=======================================================================
1275 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1276 const SMDS_MeshNode* n2,
1277 const SMDS_MeshNode* n3,
1281 SMESHDS_Mesh * meshDS = GetMeshDS();
1282 SMDS_MeshFace* elem = 0;
1284 if( n1==n2 || n2==n3 || n3==n1 )
1287 if(!myCreateQuadratic) {
1289 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1291 elem = meshDS->AddFace(n1, n2, n3);
1294 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1295 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1296 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1299 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1301 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1303 if ( mySetElemOnShape && myShapeID > 0 )
1304 meshDS->SetMeshElementOnShape( elem, myShapeID );
1309 //=======================================================================
1310 //function : AddFace
1311 //purpose : Creates quadratic or linear quadrangle
1312 //=======================================================================
1314 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1315 const SMDS_MeshNode* n2,
1316 const SMDS_MeshNode* n3,
1317 const SMDS_MeshNode* n4,
1321 SMESHDS_Mesh * meshDS = GetMeshDS();
1322 SMDS_MeshFace* elem = 0;
1325 return AddFace(n1,n3,n4,id,force3d);
1328 return AddFace(n1,n2,n4,id,force3d);
1331 return AddFace(n1,n2,n3,id,force3d);
1334 return AddFace(n1,n2,n4,id,force3d);
1337 return AddFace(n1,n2,n3,id,force3d);
1340 return AddFace(n1,n2,n3,id,force3d);
1343 if(!myCreateQuadratic) {
1345 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1347 elem = meshDS->AddFace(n1, n2, n3, n4);
1350 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1351 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1352 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1353 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1356 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1358 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1360 if ( mySetElemOnShape && myShapeID > 0 )
1361 meshDS->SetMeshElementOnShape( elem, myShapeID );
1366 //=======================================================================
1367 //function : AddPolygonalFace
1368 //purpose : Creates polygon, with additional nodes in quadratic mesh
1369 //=======================================================================
1371 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1375 SMESHDS_Mesh * meshDS = GetMeshDS();
1376 SMDS_MeshFace* elem = 0;
1378 if(!myCreateQuadratic) {
1380 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
1382 elem = meshDS->AddPolygonalFace(nodes);
1385 vector<const SMDS_MeshNode*> newNodes;
1386 for ( int i = 0; i < nodes.size(); ++i )
1388 const SMDS_MeshNode* n1 = nodes[i];
1389 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
1390 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1391 newNodes.push_back( n1 );
1392 newNodes.push_back( n12 );
1395 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
1397 elem = meshDS->AddPolygonalFace(newNodes);
1399 if ( mySetElemOnShape && myShapeID > 0 )
1400 meshDS->SetMeshElementOnShape( elem, myShapeID );
1405 //=======================================================================
1406 //function : AddVolume
1407 //purpose : Creates quadratic or linear prism
1408 //=======================================================================
1410 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1411 const SMDS_MeshNode* n2,
1412 const SMDS_MeshNode* n3,
1413 const SMDS_MeshNode* n4,
1414 const SMDS_MeshNode* n5,
1415 const SMDS_MeshNode* n6,
1419 SMESHDS_Mesh * meshDS = GetMeshDS();
1420 SMDS_MeshVolume* elem = 0;
1421 if(!myCreateQuadratic) {
1423 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
1425 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
1428 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1429 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1430 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1432 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1433 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1434 const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,force3d);
1436 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1437 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1438 const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,force3d);
1441 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
1442 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
1444 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
1445 n12, n23, n31, n45, n56, n64, n14, n25, n36);
1447 if ( mySetElemOnShape && myShapeID > 0 )
1448 meshDS->SetMeshElementOnShape( elem, myShapeID );
1453 //=======================================================================
1454 //function : AddVolume
1455 //purpose : Creates quadratic or linear tetrahedron
1456 //=======================================================================
1458 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1459 const SMDS_MeshNode* n2,
1460 const SMDS_MeshNode* n3,
1461 const SMDS_MeshNode* n4,
1465 SMESHDS_Mesh * meshDS = GetMeshDS();
1466 SMDS_MeshVolume* elem = 0;
1467 if(!myCreateQuadratic) {
1469 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
1471 elem = meshDS->AddVolume(n1, n2, n3, n4);
1474 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1475 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1476 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1478 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1479 const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,force3d);
1480 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1483 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
1485 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
1487 if ( mySetElemOnShape && myShapeID > 0 )
1488 meshDS->SetMeshElementOnShape( elem, myShapeID );
1493 //=======================================================================
1494 //function : AddVolume
1495 //purpose : Creates quadratic or linear pyramid
1496 //=======================================================================
1498 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1499 const SMDS_MeshNode* n2,
1500 const SMDS_MeshNode* n3,
1501 const SMDS_MeshNode* n4,
1502 const SMDS_MeshNode* n5,
1506 SMDS_MeshVolume* elem = 0;
1507 if(!myCreateQuadratic) {
1509 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
1511 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
1514 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1515 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1516 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1517 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1519 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1520 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1521 const SMDS_MeshNode* n35 = GetMediumNode(n3,n5,force3d);
1522 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1525 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
1530 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
1532 n15, n25, n35, n45);
1534 if ( mySetElemOnShape && myShapeID > 0 )
1535 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
1540 //=======================================================================
1541 //function : AddVolume
1542 //purpose : Creates quadratic or linear hexahedron
1543 //=======================================================================
1545 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1546 const SMDS_MeshNode* n2,
1547 const SMDS_MeshNode* n3,
1548 const SMDS_MeshNode* n4,
1549 const SMDS_MeshNode* n5,
1550 const SMDS_MeshNode* n6,
1551 const SMDS_MeshNode* n7,
1552 const SMDS_MeshNode* n8,
1556 SMESHDS_Mesh * meshDS = GetMeshDS();
1557 SMDS_MeshVolume* elem = 0;
1558 if(!myCreateQuadratic) {
1560 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
1562 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
1565 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1566 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1567 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1568 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1570 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1571 const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,force3d);
1572 const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,force3d);
1573 const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,force3d);
1575 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1576 const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,force3d);
1577 const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,force3d);
1578 const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,force3d);
1581 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
1582 n12, n23, n34, n41, n56, n67,
1583 n78, n85, n15, n26, n37, n48, id);
1585 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
1586 n12, n23, n34, n41, n56, n67,
1587 n78, n85, n15, n26, n37, n48);
1589 if ( mySetElemOnShape && myShapeID > 0 )
1590 meshDS->SetMeshElementOnShape( elem, myShapeID );
1595 //=======================================================================
1596 //function : AddVolume
1597 //purpose : Creates LINEAR!!!!!!!!! octahedron
1598 //=======================================================================
1600 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1601 const SMDS_MeshNode* n2,
1602 const SMDS_MeshNode* n3,
1603 const SMDS_MeshNode* n4,
1604 const SMDS_MeshNode* n5,
1605 const SMDS_MeshNode* n6,
1606 const SMDS_MeshNode* n7,
1607 const SMDS_MeshNode* n8,
1608 const SMDS_MeshNode* n9,
1609 const SMDS_MeshNode* n10,
1610 const SMDS_MeshNode* n11,
1611 const SMDS_MeshNode* n12,
1615 SMESHDS_Mesh * meshDS = GetMeshDS();
1616 SMDS_MeshVolume* elem = 0;
1618 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
1620 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
1621 if ( mySetElemOnShape && myShapeID > 0 )
1622 meshDS->SetMeshElementOnShape( elem, myShapeID );
1626 //=======================================================================
1627 //function : AddPolyhedralVolume
1628 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
1629 //=======================================================================
1632 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
1633 const std::vector<int>& quantities,
1637 SMESHDS_Mesh * meshDS = GetMeshDS();
1638 SMDS_MeshVolume* elem = 0;
1639 if(!myCreateQuadratic)
1642 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
1644 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
1648 vector<const SMDS_MeshNode*> newNodes;
1649 vector<int> newQuantities;
1650 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
1652 int nbNodesInFace = quantities[iFace];
1653 newQuantities.push_back(0);
1654 for ( int i = 0; i < nbNodesInFace; ++i )
1656 const SMDS_MeshNode* n1 = nodes[ iN + i ];
1657 newNodes.push_back( n1 );
1658 newQuantities.back()++;
1660 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
1661 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
1662 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
1664 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1665 newNodes.push_back( n12 );
1666 newQuantities.back()++;
1669 iN += nbNodesInFace;
1672 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
1674 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
1676 if ( mySetElemOnShape && myShapeID > 0 )
1677 meshDS->SetMeshElementOnShape( elem, myShapeID );
1684 //================================================================================
1686 * \brief Check if a node belongs to any face of sub-mesh
1688 //================================================================================
1690 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
1692 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
1693 while ( fIt->more() )
1694 if ( sm->Contains( fIt->next() ))
1700 //=======================================================================
1701 //function : LoadNodeColumns
1702 //purpose : Load nodes bound to face into a map of node columns
1703 //=======================================================================
1705 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
1706 const TopoDS_Face& theFace,
1707 const TopoDS_Edge& theBaseEdge,
1708 SMESHDS_Mesh* theMesh,
1709 SMESH_ProxyMesh* theProxyMesh)
1711 return LoadNodeColumns(theParam2ColumnMap,
1713 std::list<TopoDS_Edge>(1,theBaseEdge),
1718 //=======================================================================
1719 //function : LoadNodeColumns
1720 //purpose : Load nodes bound to face into a map of node columns
1721 //=======================================================================
1723 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
1724 const TopoDS_Face& theFace,
1725 const std::list<TopoDS_Edge>& theBaseSide,
1726 SMESHDS_Mesh* theMesh,
1727 SMESH_ProxyMesh* theProxyMesh)
1729 // get a right submesh of theFace
1731 const SMESHDS_SubMesh* faceSubMesh = 0;
1734 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
1735 if ( !faceSubMesh ||
1736 faceSubMesh->NbElements() == 0 ||
1737 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
1739 // can use a proxy sub-mesh with not temporary elements only
1745 faceSubMesh = theMesh->MeshElements( theFace );
1746 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
1749 // get data of edges for normalization of params
1751 vector< double > length;
1753 list<TopoDS_Edge>::const_iterator edge;
1755 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
1757 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
1759 length.push_back( len );
1763 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
1764 edge = theBaseSide.begin();
1765 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
1767 map< double, const SMDS_MeshNode*> sortedBaseNodes;
1768 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNodes);
1769 if ( sortedBaseNodes.empty() ) continue;
1771 map< double, const SMDS_MeshNode*>::iterator u_n = sortedBaseNodes.begin();
1772 if ( theProxyMesh ) // from sortedBaseNodes remove nodes not shared by faces of faceSubMesh
1774 const SMDS_MeshNode* n1 = sortedBaseNodes.begin()->second;
1775 const SMDS_MeshNode* n2 = sortedBaseNodes.rbegin()->second;
1776 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
1777 n2 != theProxyMesh->GetProxyNode( n2 ));
1778 if ( allNodesAreProxy )
1779 for ( u_n = sortedBaseNodes.begin(); u_n != sortedBaseNodes.end(); u_n++ )
1780 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
1782 if ( u_n = sortedBaseNodes.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
1784 while ( ++u_n != sortedBaseNodes.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
1785 sortedBaseNodes.erase( sortedBaseNodes.begin(), u_n );
1787 else if ( u_n = --sortedBaseNodes.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
1789 while ( u_n != sortedBaseNodes.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
1790 sortedBaseNodes.erase( ++u_n, sortedBaseNodes.end() );
1792 if ( sortedBaseNodes.empty() ) continue;
1796 BRep_Tool::Range( *edge, f, l );
1797 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
1798 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
1799 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
1800 for ( u_n = sortedBaseNodes.begin(); u_n != sortedBaseNodes.end(); u_n++ )
1802 double par = prevPar + coeff * ( u_n->first - f );
1803 TParam2ColumnMap::iterator u2nn =
1804 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
1805 u2nn->second.push_back( u_n->second );
1808 if ( theParam2ColumnMap.empty() )
1812 int nbRows = 1 + faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 );
1814 // fill theParam2ColumnMap column by column by passing from nodes on
1815 // theBaseEdge up via mesh faces on theFace
1817 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
1818 par_nVec_2 = theParam2ColumnMap.begin();
1819 par_nVec_1 = par_nVec_2++;
1820 TIDSortedElemSet emptySet, avoidSet;
1821 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
1823 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
1824 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
1825 nCol1.resize( nbRows );
1826 nCol2.resize( nbRows );
1828 int i1, i2, iRow = 0;
1829 const SMDS_MeshNode *n1 = nCol1[0], *n2 = nCol2[0];
1830 // find face sharing node n1 and n2 and belonging to faceSubMesh
1831 while ( const SMDS_MeshElement* face =
1832 SMESH_MeshEditor::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
1834 if ( faceSubMesh->Contains( face ))
1836 int nbNodes = face->IsQuadratic() ? face->NbNodes()/2 : face->NbNodes();
1839 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
1840 n2 = face->GetNode( (i1+2) % 4 );
1841 if ( ++iRow >= nbRows )
1847 avoidSet.insert( face );
1849 // set a real height
1850 nCol1.resize( iRow + 1 );
1851 nCol2.resize( iRow + 1 );
1853 return theParam2ColumnMap.size() > 1 && theParam2ColumnMap.begin()->second.size() > 1;
1856 //=======================================================================
1857 //function : NbAncestors
1858 //purpose : Return number of unique ancestors of the shape
1859 //=======================================================================
1861 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
1862 const SMESH_Mesh& mesh,
1863 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
1865 TopTools_MapOfShape ancestors;
1866 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
1867 for ( ; ansIt.More(); ansIt.Next() ) {
1868 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
1869 ancestors.Add( ansIt.Value() );
1871 return ancestors.Extent();
1874 //=======================================================================
1875 //function : GetSubShapeOri
1876 //purpose : Return orientation of sub-shape in the main shape
1877 //=======================================================================
1879 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
1880 const TopoDS_Shape& subShape)
1882 TopAbs_Orientation ori = TopAbs_Orientation(-1);
1883 if ( !shape.IsNull() && !subShape.IsNull() )
1885 TopExp_Explorer e( shape, subShape.ShapeType() );
1886 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
1887 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
1888 for ( ; e.More(); e.Next())
1889 if ( subShape.IsSame( e.Current() ))
1892 ori = e.Current().Orientation();
1897 //=======================================================================
1898 //function : IsSubShape
1900 //=======================================================================
1902 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
1903 const TopoDS_Shape& mainShape )
1905 if ( !shape.IsNull() && !mainShape.IsNull() )
1907 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
1910 if ( shape.IsSame( exp.Current() ))
1913 SCRUTE((shape.IsNull()));
1914 SCRUTE((mainShape.IsNull()));
1918 //=======================================================================
1919 //function : IsSubShape
1921 //=======================================================================
1923 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
1925 if ( shape.IsNull() || !aMesh )
1928 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
1930 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
1933 //================================================================================
1935 * \brief Return maximal tolerance of shape
1937 //================================================================================
1939 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
1941 double tol = Precision::Confusion();
1942 TopExp_Explorer exp;
1943 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
1944 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
1945 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
1946 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
1947 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
1948 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
1953 //================================================================================
1955 * \brief Check if the first and last vertices of an edge are the same
1956 * \param anEdge - the edge to check
1957 * \retval bool - true if same
1959 //================================================================================
1961 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
1963 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
1964 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
1965 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
1968 //================================================================================
1970 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
1971 * in the case of INTERNAL edge
1973 //================================================================================
1975 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
1979 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
1980 anEdge.Orientation( TopAbs_FORWARD );
1982 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
1983 TopoDS_Iterator vIt( anEdge, CumOri );
1984 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
1987 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
1990 //================================================================================
1992 * \brief Return type of shape contained in a group
1993 * \param group - a shape of type TopAbs_COMPOUND
1994 * \param avoidCompound - not to return TopAbs_COMPOUND
1996 //================================================================================
1998 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
1999 const bool avoidCompound)
2001 if ( !group.IsNull() )
2003 if ( group.ShapeType() != TopAbs_COMPOUND )
2004 return group.ShapeType();
2006 // iterate on a compound
2007 TopoDS_Iterator it( group );
2009 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
2011 return TopAbs_SHAPE;
2014 //=======================================================================
2015 //function : IsQuadraticMesh
2016 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
2017 // quadratic elements will be created.
2018 // Used then generated 3D mesh without geometry.
2019 //=======================================================================
2021 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
2023 int NbAllEdgsAndFaces=0;
2024 int NbQuadFacesAndEdgs=0;
2025 int NbFacesAndEdges=0;
2026 //All faces and edges
2027 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
2029 //Quadratic faces and edges
2030 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
2032 //Linear faces and edges
2033 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
2035 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
2037 return SMESH_MesherHelper::QUADRATIC;
2039 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
2041 return SMESH_MesherHelper::LINEAR;
2044 //Mesh with both type of elements
2045 return SMESH_MesherHelper::COMP;
2048 //=======================================================================
2049 //function : GetOtherParam
2050 //purpose : Return an alternative parameter for a node on seam
2051 //=======================================================================
2053 double SMESH_MesherHelper::GetOtherParam(const double param) const
2055 int i = myParIndex & U_periodic ? 0 : 1;
2056 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
2061 //=======================================================================
2063 * \brief Iterator on ancestors of the given type
2065 //=======================================================================
2067 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
2069 TopTools_ListIteratorOfListOfShape _ancIter;
2070 TopAbs_ShapeEnum _type;
2071 TopTools_MapOfShape _encountered;
2072 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
2073 : _ancIter( ancestors ), _type( type )
2075 if ( _ancIter.More() ) {
2076 if ( _ancIter.Value().ShapeType() != _type ) next();
2077 else _encountered.Add( _ancIter.Value() );
2082 return _ancIter.More();
2084 virtual const TopoDS_Shape* next()
2086 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
2087 if ( _ancIter.More() )
2088 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
2089 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
2097 //=======================================================================
2099 * \brief Return iterator on ancestors of the given type
2101 //=======================================================================
2103 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
2104 const SMESH_Mesh& mesh,
2105 TopAbs_ShapeEnum ancestorType)
2107 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
2110 //=======================================================================
2111 //function : GetCommonAncestor
2112 //purpose : Find a common ancestors of two shapes of the given type
2113 //=======================================================================
2115 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
2116 const TopoDS_Shape& shape2,
2117 const SMESH_Mesh& mesh,
2118 TopAbs_ShapeEnum ancestorType)
2120 TopoDS_Shape commonAnc;
2121 if ( !shape1.IsNull() && !shape2.IsNull() )
2123 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
2124 while ( const TopoDS_Shape* anc = ancIt->next() )
2125 if ( IsSubShape( shape2, *anc ))
2134 //#include <Perf_Meter.hxx>
2136 //=======================================================================
2137 namespace { // Structures used by FixQuadraticElements()
2138 //=======================================================================
2140 #define __DMP__(txt) \
2142 #define MSG(txt) __DMP__(txt<<endl)
2143 #define MSGBEG(txt) __DMP__(txt)
2145 //const double straightTol2 = 1e-33; // to detect straing links
2146 bool isStraightLink(double linkLen2, double middleNodeMove2)
2148 // straight if <node move> < 1/15 * <link length>
2149 return middleNodeMove2 < 1/15./15. * linkLen2;
2153 // ---------------------------------------
2155 * \brief Quadratic link knowing its faces
2157 struct QLink: public SMESH_TLink
2159 const SMDS_MeshNode* _mediumNode;
2160 mutable vector<const QFace* > _faces;
2161 mutable gp_Vec _nodeMove;
2162 mutable int _nbMoves;
2164 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
2165 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
2167 //if ( MediumPos() != SMDS_TOP_3DSPACE )
2168 _nodeMove = MediumPnt() - MiddlePnt();
2170 void SetContinuesFaces() const;
2171 const QFace* GetContinuesFace( const QFace* face ) const;
2172 bool OnBoundary() const;
2173 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
2174 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
2176 SMDS_TypeOfPosition MediumPos() const
2177 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
2178 SMDS_TypeOfPosition EndPos(bool isSecond) const
2179 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
2180 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
2181 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
2183 void Move(const gp_Vec& move, bool sum=false) const
2184 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; }
2185 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
2186 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
2187 bool IsStraight() const
2188 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
2189 _nodeMove.SquareMagnitude());
2191 bool operator<(const QLink& other) const {
2192 return (node1()->GetID() == other.node1()->GetID() ?
2193 node2()->GetID() < other.node2()->GetID() :
2194 node1()->GetID() < other.node1()->GetID());
2196 // struct PtrComparator {
2197 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
2200 // ---------------------------------------------------------
2202 * \brief Link in the chain of links; it connects two faces
2206 const QLink* _qlink;
2207 mutable const QFace* _qfaces[2];
2209 TChainLink(const QLink* qlink=0):_qlink(qlink) {
2210 _qfaces[0] = _qfaces[1] = 0;
2212 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
2214 bool IsBoundary() const { return !_qfaces[1]; }
2216 void RemoveFace( const QFace* face ) const
2217 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
2219 const QFace* NextFace( const QFace* f ) const
2220 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
2222 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
2223 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
2225 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
2227 operator bool() const { return (_qlink); }
2229 const QLink* operator->() const { return _qlink; }
2231 gp_Vec Normal() const;
2233 bool IsStraight() const;
2235 // --------------------------------------------------------------------
2236 typedef list< TChainLink > TChain;
2237 typedef set < TChainLink > TLinkSet;
2238 typedef TLinkSet::const_iterator TLinkInSet;
2240 const int theFirstStep = 5;
2242 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
2243 // --------------------------------------------------------------------
2245 * \brief Face shared by two volumes and bound by QLinks
2247 struct QFace: public TIDSortedNodeSet
2249 mutable const SMDS_MeshElement* _volumes[2];
2250 mutable vector< const QLink* > _sides;
2251 mutable bool _sideIsAdded[4]; // added in chain of links
2254 mutable const SMDS_MeshElement* _face;
2257 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
2259 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
2261 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
2263 void AddSelfToLinks() const {
2264 for ( int i = 0; i < _sides.size(); ++i )
2265 _sides[i]->_faces.push_back( this );
2267 int LinkIndex( const QLink* side ) const {
2268 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
2271 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
2273 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
2275 int i = LinkIndex( link._qlink );
2276 if ( i < 0 ) return true;
2277 _sideIsAdded[i] = true;
2278 link.SetFace( this );
2279 // continue from opposite link
2280 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
2282 bool IsBoundary() const { return !_volumes[1]; }
2284 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
2286 bool IsSpoiled(const QLink* bentLink ) const;
2288 TLinkInSet GetBoundaryLink( const TLinkSet& links,
2289 const TChainLink& avoidLink,
2290 TLinkInSet * notBoundaryLink = 0,
2291 const SMDS_MeshNode* nodeToContain = 0,
2292 bool * isAdjacentUsed = 0,
2293 int nbRecursionsLeft = -1) const;
2295 TLinkInSet GetLinkByNode( const TLinkSet& links,
2296 const TChainLink& avoidLink,
2297 const SMDS_MeshNode* nodeToContain) const;
2299 const SMDS_MeshNode* GetNodeInFace() const {
2300 for ( int iL = 0; iL < _sides.size(); ++iL )
2301 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
2305 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
2307 double MoveByBoundary( const TChainLink& theLink,
2308 const gp_Vec& theRefVec,
2309 const TLinkSet& theLinks,
2310 SMESH_MesherHelper* theFaceHelper=0,
2311 const double thePrevLen=0,
2312 const int theStep=theFirstStep,
2313 gp_Vec* theLinkNorm=0,
2314 double theSign=1.0) const;
2317 //================================================================================
2319 * \brief Dump QLink and QFace
2321 ostream& operator << (ostream& out, const QLink& l)
2323 out <<"QLink nodes: "
2324 << l.node1()->GetID() << " - "
2325 << l._mediumNode->GetID() << " - "
2326 << l.node2()->GetID() << endl;
2329 ostream& operator << (ostream& out, const QFace& f)
2331 out <<"QFace nodes: "/*<< &f << " "*/;
2332 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
2333 out << (*n)->GetID() << " ";
2334 out << " \tvolumes: "
2335 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
2336 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
2337 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
2341 //================================================================================
2343 * \brief Construct QFace from QLinks
2345 //================================================================================
2347 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
2349 _volumes[0] = _volumes[1] = 0;
2351 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
2352 _normal.SetCoord(0,0,0);
2353 for ( int i = 1; i < _sides.size(); ++i ) {
2354 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
2355 insert( l1->node1() ); insert( l1->node2() );
2357 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
2358 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
2359 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
2363 double normSqSize = _normal.SquareMagnitude();
2364 if ( normSqSize > numeric_limits<double>::min() )
2365 _normal /= sqrt( normSqSize );
2367 _normal.SetCoord(1e-33,0,0);
2373 //================================================================================
2375 * \brief Make up a chain of links
2376 * \param iSide - link to add first
2377 * \param chain - chain to fill in
2378 * \param pos - postion of medium nodes the links should have
2379 * \param error - out, specifies what is wrong
2380 * \retval bool - false if valid chain can't be built; "valid" means that links
2381 * of the chain belongs to rectangles bounding hexahedrons
2383 //================================================================================
2385 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
2387 if ( iSide >= _sides.size() ) // wrong argument iSide
2389 if ( _sideIsAdded[ iSide ]) // already in chain
2392 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
2395 list< const QFace* > faces( 1, this );
2396 while ( !faces.empty() ) {
2397 const QFace* face = faces.front();
2398 for ( int i = 0; i < face->_sides.size(); ++i ) {
2399 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
2400 face->_sideIsAdded[i] = true;
2401 // find a face side in the chain
2402 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
2403 // TChain::iterator chLink = chain.begin();
2404 // for ( ; chLink != chain.end(); ++chLink )
2405 // if ( chLink->_qlink == face->_sides[i] )
2407 // if ( chLink == chain.end() )
2408 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
2409 // add a face to a chained link and put a continues face in the queue
2410 chLink->SetFace( face );
2411 if ( face->_sides[i]->MediumPos() == pos )
2412 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
2413 if ( contFace->_sides.size() == 3 )
2414 faces.push_back( contFace );
2419 if ( error < ERR_TRI )
2421 chain.insert( chain.end(), links.begin(),links.end() );
2424 _sideIsAdded[iSide] = true; // not to add this link to chain again
2425 const QLink* link = _sides[iSide];
2429 // add link into chain
2430 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
2431 chLink->SetFace( this );
2434 // propagate from quadrangle to neighbour faces
2435 if ( link->MediumPos() >= pos ) {
2436 int nbLinkFaces = link->_faces.size();
2437 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
2438 // hexahedral mesh or boundary quadrangles - goto a continous face
2439 if ( const QFace* f = link->GetContinuesFace( this ))
2440 if ( f->_sides.size() == 4 )
2441 return f->GetLinkChain( *chLink, chain, pos, error );
2444 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
2445 for ( int i = 0; i < nbLinkFaces; ++i )
2446 if ( link->_faces[i] )
2447 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
2448 if ( error < ERR_PRISM )
2456 //================================================================================
2458 * \brief Return a boundary link of the triangle face
2459 * \param links - set of all links
2460 * \param avoidLink - link not to return
2461 * \param notBoundaryLink - out, neither the returned link nor avoidLink
2462 * \param nodeToContain - node the returned link must contain; if provided, search
2463 * also performed on adjacent faces
2464 * \param isAdjacentUsed - returns true if link is found in adjacent faces
2465 * \param nbRecursionsLeft - to limit recursion
2467 //================================================================================
2469 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
2470 const TChainLink& avoidLink,
2471 TLinkInSet * notBoundaryLink,
2472 const SMDS_MeshNode* nodeToContain,
2473 bool * isAdjacentUsed,
2474 int nbRecursionsLeft) const
2476 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
2478 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
2479 TFaceLinkList adjacentFaces;
2481 for ( int iL = 0; iL < _sides.size(); ++iL )
2483 if ( avoidLink._qlink == _sides[iL] )
2485 TLinkInSet link = links.find( _sides[iL] );
2486 if ( link == linksEnd ) continue;
2487 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
2488 continue; // We work on faces here, don't go inside a solid
2491 if ( link->IsBoundary() ) {
2492 if ( !nodeToContain ||
2493 (*link)->node1() == nodeToContain ||
2494 (*link)->node2() == nodeToContain )
2496 boundaryLink = link;
2497 if ( !notBoundaryLink ) break;
2500 else if ( notBoundaryLink ) {
2501 *notBoundaryLink = link;
2502 if ( boundaryLink != linksEnd ) break;
2505 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
2506 if ( const QFace* adj = link->NextFace( this ))
2507 if ( adj->Contains( nodeToContain ))
2508 adjacentFaces.push_back( make_pair( adj, link ));
2511 if ( isAdjacentUsed ) *isAdjacentUsed = false;
2512 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
2514 if ( nbRecursionsLeft < 0 )
2515 nbRecursionsLeft = nodeToContain->NbInverseElements();
2516 TFaceLinkList::iterator adj = adjacentFaces.begin();
2517 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
2518 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
2519 isAdjacentUsed, nbRecursionsLeft-1);
2520 if ( isAdjacentUsed ) *isAdjacentUsed = true;
2522 return boundaryLink;
2524 //================================================================================
2526 * \brief Return a link ending at the given node but not avoidLink
2528 //================================================================================
2530 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
2531 const TChainLink& avoidLink,
2532 const SMDS_MeshNode* nodeToContain) const
2534 for ( int i = 0; i < _sides.size(); ++i )
2535 if ( avoidLink._qlink != _sides[i] &&
2536 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
2537 return links.find( _sides[ i ]);
2541 //================================================================================
2543 * \brief Return normal to the i-th side pointing outside the face
2545 //================================================================================
2547 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
2549 gp_Vec norm, vecOut;
2550 // if ( uvHelper ) {
2551 // TopoDS_Face face = TopoDS::Face( uvHelper->GetSubShape());
2552 // const SMDS_MeshNode* inFaceNode = uvHelper->GetNodeUVneedInFaceNode() ? GetNodeInFace() : 0;
2553 // gp_XY uv1 = uvHelper->GetNodeUV( face, _sides[i]->node1(), inFaceNode );
2554 // gp_XY uv2 = uvHelper->GetNodeUV( face, _sides[i]->node2(), inFaceNode );
2555 // norm.SetCoord( uv1.Y() - uv2.Y(), uv2.X() - uv1.X(), 0 );
2557 // const QLink* otherLink = _sides[(i + 1) % _sides.size()];
2558 // const SMDS_MeshNode* otherNode =
2559 // otherLink->node1() == _sides[i]->node1() ? otherLink->node2() : otherLink->node1();
2560 // gp_XY pIn = uvHelper->GetNodeUV( face, otherNode, inFaceNode );
2561 // vecOut.SetCoord( uv1.X() - pIn.X(), uv1.Y() - pIn.Y(), 0 );
2564 norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
2565 gp_XYZ pIn = ( XYZ( _sides[0]->node1() ) +
2566 XYZ( _sides[0]->node2() ) +
2567 XYZ( _sides[1]->node1() )) / 3.;
2568 vecOut.SetXYZ( _sides[i]->MiddlePnt() - pIn );
2570 if ( norm * vecOut < 0 )
2572 double mag2 = norm.SquareMagnitude();
2573 if ( mag2 > numeric_limits<double>::min() )
2574 norm /= sqrt( mag2 );
2577 //================================================================================
2579 * \brief Move medium node of theLink according to its distance from boundary
2580 * \param theLink - link to fix
2581 * \param theRefVec - movement of boundary
2582 * \param theLinks - all adjacent links of continous triangles
2583 * \param theFaceHelper - helper is not used so far
2584 * \param thePrevLen - distance from the boundary
2585 * \param theStep - number of steps till movement propagation limit
2586 * \param theLinkNorm - out normal to theLink
2587 * \param theSign - 1 or -1 depending on movement of boundary
2588 * \retval double - distance from boundary to propagation limit or other boundary
2590 //================================================================================
2592 double QFace::MoveByBoundary( const TChainLink& theLink,
2593 const gp_Vec& theRefVec,
2594 const TLinkSet& theLinks,
2595 SMESH_MesherHelper* theFaceHelper,
2596 const double thePrevLen,
2598 gp_Vec* theLinkNorm,
2599 double theSign) const
2602 return thePrevLen; // propagation limit reached
2604 int iL; // index of theLink
2605 for ( iL = 0; iL < _sides.size(); ++iL )
2606 if ( theLink._qlink == _sides[ iL ])
2609 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
2610 <<" thePrevLen " << thePrevLen);
2611 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
2613 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
2614 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
2615 if ( theStep == theFirstStep )
2616 theSign = refProj < 0. ? -1. : 1.;
2617 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
2618 return thePrevLen; // to propagate movement forward only, not in side dir or backward
2620 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
2621 TLinkInSet link1 = theLinks.find( _sides[iL1] );
2622 TLinkInSet link2 = theLinks.find( _sides[iL2] );
2623 if ( link1 == theLinks.end() || link2 == theLinks.end() )
2625 const QFace* f1 = link1->NextFace( this ); // adjacent faces
2626 const QFace* f2 = link2->NextFace( this );
2628 // propagate to adjacent faces till limit step or boundary
2629 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
2630 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
2631 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
2632 gp_Vec linkDir2(0,0,0);
2635 if ( f1 && theLink->MediumPos() <= (*link1)->MediumPos() )
2636 len1 = f1->MoveByBoundary
2637 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
2639 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
2641 MSG( " --------------- EXCEPTION");
2646 if ( f2 && theLink->MediumPos() <= (*link2)->MediumPos() )
2647 len2 = f2->MoveByBoundary
2648 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
2650 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
2652 MSG( " --------------- EXCEPTION");
2657 if ( theStep != theFirstStep )
2659 // choose chain length by direction of propagation most codirected with theRefVec
2660 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
2661 fullLen = choose1 ? len1 : len2;
2662 double r = thePrevLen / fullLen;
2664 gp_Vec move = linkNorm * refProj * ( 1 - r );
2665 theLink->Move( move, true );
2667 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
2668 " by " << refProj * ( 1 - r ) << " following " <<
2669 (choose1 ? *link1->_qlink : *link2->_qlink));
2671 if ( theLinkNorm ) *theLinkNorm = linkNorm;
2676 //================================================================================
2678 * \brief Checks if the face is distorted due to bentLink
2680 //================================================================================
2682 bool QFace::IsSpoiled(const QLink* bentLink ) const
2684 // code is valid for convex faces only
2686 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
2687 gc += XYZ( *n ) / size();
2688 for (unsigned i = 0; i < _sides.size(); ++i )
2690 if ( _sides[i] == bentLink ) continue;
2691 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
2692 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
2693 if ( linkNorm * vecOut < 0 )
2695 double mag2 = linkNorm.SquareMagnitude();
2696 if ( mag2 > numeric_limits<double>::min() )
2697 linkNorm /= sqrt( mag2 );
2698 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
2699 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
2700 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
2707 //================================================================================
2709 * \brief Find pairs of continues faces
2711 //================================================================================
2713 void QLink::SetContinuesFaces() const
2715 // x0 x - QLink, [-|] - QFace, v - volume
2717 // | Between _faces of link x2 two vertical faces are continues
2718 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
2719 // | to _faces[0] and _faces[1] and horizontal faces to
2720 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
2723 if ( _faces.empty() )
2725 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
2726 if ( _faces[0]->IsBoundary() )
2727 iBoundary[ nbBoundary++ ] = 0;
2728 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
2730 // look for a face bounding none of volumes bound by _faces[0]
2731 bool sameVol = false;
2732 int nbVol = _faces[iF]->NbVolumes();
2733 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
2734 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
2735 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
2738 if ( _faces[iF]->IsBoundary() )
2739 iBoundary[ nbBoundary++ ] = iF;
2741 // Set continues faces: arrange _faces to have
2742 // _faces[0] continues to _faces[1]
2743 // _faces[2] continues to _faces[3]
2744 if ( nbBoundary == 2 ) // bnd faces are continues
2746 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
2748 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
2749 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
2752 else if ( iFaceCont > 0 ) // continues faces found
2754 if ( iFaceCont != 1 )
2755 std::swap( _faces[1], _faces[iFaceCont] );
2757 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
2759 _faces.insert( ++_faces.begin(), 0 );
2762 //================================================================================
2764 * \brief Return a face continues to the given one
2766 //================================================================================
2768 const QFace* QLink::GetContinuesFace( const QFace* face ) const
2770 for ( int i = 0; i < _faces.size(); ++i ) {
2771 if ( _faces[i] == face ) {
2772 int iF = i < 2 ? 1-i : 5-i;
2773 return iF < _faces.size() ? _faces[iF] : 0;
2778 //================================================================================
2780 * \brief True if link is on mesh boundary
2782 //================================================================================
2784 bool QLink::OnBoundary() const
2786 for ( int i = 0; i < _faces.size(); ++i )
2787 if (_faces[i] && _faces[i]->IsBoundary()) return true;
2790 //================================================================================
2792 * \brief Return normal of link of the chain
2794 //================================================================================
2796 gp_Vec TChainLink::Normal() const {
2798 if (_qfaces[0]) norm = _qfaces[0]->_normal;
2799 if (_qfaces[1]) norm += _qfaces[1]->_normal;
2802 //================================================================================
2804 * \brief Test link curvature taking into account size of faces
2806 //================================================================================
2808 bool TChainLink::IsStraight() const
2810 bool isStraight = _qlink->IsStraight();
2811 if ( isStraight && _qfaces[0] && !_qfaces[1] )
2813 int i = _qfaces[0]->LinkIndex( _qlink );
2814 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
2815 gp_XYZ mid1 = _qlink->MiddlePnt();
2816 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
2817 double faceSize2 = (mid1-mid2).SquareModulus();
2818 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
2823 //================================================================================
2825 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
2827 //================================================================================
2829 void fixPrism( TChain& allLinks )
2831 // separate boundary links from internal ones
2832 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
2833 QLinkSet interLinks, bndLinks1, bndLink2;
2835 bool isCurved = false;
2836 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
2837 if ( (*lnk)->OnBoundary() )
2838 bndLinks1.insert( lnk->_qlink );
2840 interLinks.insert( lnk->_qlink );
2841 isCurved = isCurved || !lnk->IsStraight();
2844 return; // no need to move
2846 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
2848 while ( !interLinks.empty() && !curBndLinks->empty() )
2850 // propagate movement from boundary links to connected internal links
2851 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
2852 for ( ; bnd != bndEnd; ++bnd )
2854 const QLink* bndLink = *bnd;
2855 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
2857 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
2858 if ( !face ) continue;
2859 // find and move internal link opposite to bndLink within the face
2860 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
2861 const QLink* interLink = face->_sides[ interInd ];
2862 QLinkSet::iterator pInterLink = interLinks.find( interLink );
2863 if ( pInterLink == interLinks.end() ) continue; // not internal link
2864 interLink->Move( bndLink->_nodeMove );
2865 // treated internal links become new boundary ones
2866 interLinks. erase( pInterLink );
2867 newBndLinks->insert( interLink );
2870 curBndLinks->clear();
2871 std::swap( curBndLinks, newBndLinks );
2875 //================================================================================
2877 * \brief Fix links of continues triangles near curved boundary
2879 //================================================================================
2881 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
2883 if ( allLinks.empty() ) return;
2885 TLinkSet linkSet( allLinks.begin(), allLinks.end());
2886 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
2888 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
2890 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
2892 // move iff a boundary link is bent towards inside of a face (issue 0021084)
2893 const QFace* face = linkIt->_qfaces[0];
2894 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
2895 face->_sides[1]->MiddlePnt() +
2896 face->_sides[2]->MiddlePnt() ) / 3.;
2897 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
2898 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
2899 //if ( face->IsSpoiled( linkIt->_qlink ))
2900 if ( linkBentInside )
2901 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
2906 //================================================================================
2908 * \brief Detect rectangular structure of links and build chains from them
2910 //================================================================================
2912 enum TSplitTriaResult {
2913 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
2914 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
2916 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
2917 vector< TChain> & resultChains,
2918 SMDS_TypeOfPosition pos )
2920 // put links in the set and evalute number of result chains by number of boundary links
2923 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
2924 linkSet.insert( *lnk );
2925 nbBndLinks += lnk->IsBoundary();
2927 resultChains.clear();
2928 resultChains.reserve( nbBndLinks / 2 );
2930 TLinkInSet linkIt, linksEnd = linkSet.end();
2932 // find a boundary link with corner node; corner node has position pos-2
2933 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
2935 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
2936 const SMDS_MeshNode* corner = 0;
2937 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
2938 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
2943 TLinkInSet startLink = linkIt;
2944 const SMDS_MeshNode* startCorner = corner;
2945 vector< TChain* > rowChains;
2948 while ( startLink != linksEnd) // loop on columns
2950 // We suppose we have a rectangular structure like shown here. We have found a
2951 // corner of the rectangle (startCorner) and a boundary link sharing
2952 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
2953 // --o---o---o structure making several chains at once. One chain (columnChain)
2954 // |\ | /| starts at startLink and continues upward (we look at the structure
2955 // \ | \ | / | from such point that startLink is on the bottom of the structure).
2956 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
2957 // --o---o---o encounter.
2959 // / | \ | \ | startCorner
2964 if ( resultChains.size() == nbBndLinks / 2 )
2966 resultChains.push_back( TChain() );
2967 TChain& columnChain = resultChains.back();
2969 TLinkInSet botLink = startLink; // current horizontal link to go up from
2970 corner = startCorner; // current corner the botLink ends at
2972 while ( botLink != linksEnd ) // loop on rows
2974 // add botLink to the columnChain
2975 columnChain.push_back( *botLink );
2977 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
2979 { // the column ends
2980 if ( botLink == startLink )
2981 return _TWISTED_CHAIN; // issue 0020951
2982 linkSet.erase( botLink );
2983 if ( iRow != rowChains.size() )
2984 return _FEW_ROWS; // different nb of rows in columns
2987 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
2988 // link ending at <corner> (sideLink); there are two cases:
2989 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
2990 // since midQuadLink is not at boundary while sideLink is.
2991 // 2) midQuadLink ends at <corner>
2993 TLinkInSet midQuadLink = linksEnd;
2994 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
2996 if ( isCase2 ) { // find midQuadLink among links of botTria
2997 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
2998 if ( midQuadLink->IsBoundary() )
2999 return _BAD_MIDQUAD;
3001 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
3002 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
3005 columnChain.push_back( *midQuadLink );
3006 if ( iRow >= rowChains.size() ) {
3008 return _MANY_ROWS; // different nb of rows in columns
3009 if ( resultChains.size() == nbBndLinks / 2 )
3011 resultChains.push_back( TChain() );
3012 rowChains.push_back( & resultChains.back() );
3014 rowChains[iRow]->push_back( *sideLink );
3015 rowChains[iRow]->push_back( *midQuadLink );
3017 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
3021 // prepare startCorner and startLink for the next column
3022 startCorner = startLink->NextNode( startCorner );
3024 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
3026 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
3027 // check if no more columns remains
3028 if ( startLink != linksEnd ) {
3029 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
3030 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
3031 startLink = linksEnd; // startLink bounds upTria or botTria
3032 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
3036 // find bottom link and corner for the next row
3037 corner = sideLink->NextNode( corner );
3038 // next bottom link ends at the new corner
3039 linkSet.erase( botLink );
3040 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
3041 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
3043 if ( midQuadLink == startLink || sideLink == startLink )
3044 return _TWISTED_CHAIN; // issue 0020951
3045 linkSet.erase( midQuadLink );
3046 linkSet.erase( sideLink );
3048 // make faces neighboring the found ones be boundary
3049 if ( startLink != linksEnd ) {
3050 const QFace* tria = isCase2 ? botTria : upTria;
3051 for ( int iL = 0; iL < 3; ++iL ) {
3052 linkIt = linkSet.find( tria->_sides[iL] );
3053 if ( linkIt != linksEnd )
3054 linkIt->RemoveFace( tria );
3057 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
3058 botLink->RemoveFace( upTria ); // make next botTria first in vector
3065 // In the linkSet, there must remain the last links of rowChains; add them
3066 if ( linkSet.size() != rowChains.size() )
3067 return _BAD_SET_SIZE;
3068 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
3069 // find the link (startLink) ending at startCorner
3071 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
3072 if ( (*startLink)->node1() == startCorner ) {
3073 corner = (*startLink)->node2(); break;
3075 else if ( (*startLink)->node2() == startCorner) {
3076 corner = (*startLink)->node1(); break;
3079 if ( startLink == linksEnd )
3081 rowChains[ iRow ]->push_back( *startLink );
3082 linkSet.erase( startLink );
3083 startCorner = corner;
3089 //================================================================================
3091 * \brief Place medium nodes at the link middle for elements whose corner nodes
3092 * are out of geometrical boundary to prevent distorting elements.
3093 * Issue 0020982, note 0013990
3095 //================================================================================
3097 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
3098 SMESH_ComputeErrorPtr& theError)
3100 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
3101 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
3102 if ( shape.IsNull() ) return;
3104 if ( !theError ) theError = SMESH_ComputeError::New();
3108 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
3110 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
3112 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
3113 if ( !faceSM ) return;
3115 const TopoDS_Face& face = TopoDS::Face( shape );
3116 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
3118 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
3119 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
3121 // check if the EDGE needs checking
3122 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
3123 if ( BRep_Tool::Degenerated( edge ) )
3125 if ( theHelper.IsRealSeam( edge ) &&
3126 edge.Orientation() == TopAbs_REVERSED )
3129 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
3130 if ( !edgeSM ) continue;
3133 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
3134 BRepAdaptor_Curve curve3D( edge );
3135 switch ( curve3D.GetType() ) {
3136 case GeomAbs_Line: continue;
3137 case GeomAbs_Circle:
3138 case GeomAbs_Ellipse:
3139 case GeomAbs_Hyperbola:
3140 case GeomAbs_Parabola:
3143 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
3144 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
3145 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
3146 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
3147 gp_Vec fNorm = Du1 ^ Dv1;
3148 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
3149 continue; // face is normal to the curve3D
3151 gp_Vec curvNorm = fNorm ^ D1;
3152 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
3153 if ( curvNorm * D2 > 0 )
3154 continue; // convex edge
3156 catch ( Standard_Failure )
3161 // get nodes shared by faces that may be distorted
3162 SMDS_NodeIteratorPtr nodeIt;
3163 if ( edgeSM->NbNodes() > 0 ) {
3164 nodeIt = edgeSM->GetNodes();
3167 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
3169 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
3170 if ( !vertexSM ) continue;
3171 nodeIt = vertexSM->GetNodes();
3174 // find suspicious faces
3175 TIDSortedElemSet checkedFaces;
3176 vector< const SMDS_MeshNode* > nOnEdge( 2 );
3177 const SMDS_MeshNode* nOnFace;
3178 while ( nodeIt->more() )
3180 const SMDS_MeshNode* n = nodeIt->next();
3181 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
3182 while ( faceIt->more() )
3184 const SMDS_MeshElement* f = faceIt->next();
3185 if ( !faceSM->Contains( f ) ||
3186 f->NbNodes() != 6 || // check quadratic triangles only
3187 !checkedFaces.insert( f ).second )
3190 // get nodes on EDGE and on FACE of a suspicious face
3191 nOnEdge.clear(); nOnFace = 0;
3192 SMDS_MeshElement::iterator triNode = f->begin_nodes();
3193 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
3196 if ( n->GetPosition()->GetDim() == 2 )
3199 nOnEdge.push_back( n );
3202 // check if nOnFace is inside the FACE
3203 if ( nOnFace && nOnEdge.size() == 2 )
3205 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
3206 if ( !SMESH_Algo::FaceNormal( f, faceNorm, /*normalized=*/false ))
3208 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
3209 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
3210 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true );
3211 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
3212 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
3213 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
3214 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
3215 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
3216 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
3218 // nOnFace is out of FACE, move a medium on-edge node to the middle
3219 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
3220 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
3221 MSG( "move OUT of face " << n );
3222 theError->myBadElements.push_back( f );
3228 if ( !theError->myBadElements.empty() )
3229 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
3232 } // 2D ==============================================================================
3234 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
3236 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
3237 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
3239 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
3240 if ( !solidSM ) return;
3242 // check if the SOLID is bound by concave FACEs
3243 vector< TopoDS_Face > concaveFaces;
3244 TopExp_Explorer faceIt( shape, TopAbs_FACE );
3245 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
3247 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
3248 if ( !meshDS->MeshElements( face )) continue;
3250 BRepAdaptor_Surface surface( face );
3251 switch ( surface.GetType() ) {
3252 case GeomAbs_Plane: continue;
3253 case GeomAbs_Cylinder:
3255 case GeomAbs_Sphere:
3258 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
3259 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
3260 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
3261 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
3262 gp_Vec fNorm = Du1 ^ Dv1;
3263 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
3264 bool concaveU = ( fNorm * Du2 > 1e-100 );
3265 bool concaveV = ( fNorm * Dv2 > 1e-100 );
3266 if ( concaveU || concaveV )
3267 concaveFaces.push_back( face );
3269 catch ( Standard_Failure )
3271 concaveFaces.push_back( face );
3275 if ( concaveFaces.empty() )
3278 // fix 2D mesh on the SOLID
3279 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
3281 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
3282 faceHelper.SetSubShape( faceIt.Current() );
3283 force3DOutOfBoundary( faceHelper, theError );
3286 // get an iterator over faces on concaveFaces
3287 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
3288 for ( size_t i = 0; i < concaveFaces.size(); ++i )
3289 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
3290 typedef SMDS_IteratorOnIterators
3291 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
3292 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
3294 // a seacher to check if a volume is close to a concave face
3295 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
3296 ( SMESH_MeshEditor( theHelper.GetMesh() ).GetElementSearcher( faceIter ));
3299 //BRepClass3d_SolidClassifier solidClassifier( shape );
3301 TIDSortedElemSet checkedVols, movedNodes;
3302 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
3304 const TopoDS_Shape& face = faceIt.Current();
3305 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
3306 if ( !faceSM ) continue;
3308 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
3309 SMDS_NodeIteratorPtr nodeIt;
3310 if ( faceSM->NbNodes() > 0 ) {
3311 nodeIt = faceSM->GetNodes();
3314 TopExp_Explorer vertex( face, TopAbs_VERTEX );
3315 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
3316 if ( !vertexSM ) continue;
3317 nodeIt = vertexSM->GetNodes();
3320 // find suspicious volumes adjacent to the FACE
3321 vector< const SMDS_MeshNode* > nOnFace( 4 );
3322 const SMDS_MeshNode* nInSolid;
3323 //vector< const SMDS_MeshElement* > intersectedFaces;
3324 while ( nodeIt->more() )
3326 const SMDS_MeshNode* n = nodeIt->next();
3327 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
3328 while ( volIt->more() )
3330 const SMDS_MeshElement* vol = volIt->next();
3331 int nbN = vol->NbCornerNodes();
3332 if ( ( nbN != 4 && nbN != 5 ) ||
3333 !solidSM->Contains( vol ) ||
3334 !checkedVols.insert( vol ).second )
3337 // get nodes on FACE and in SOLID of a suspicious volume
3338 nOnFace.clear(); nInSolid = 0;
3339 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
3340 for ( int nb = nbN; nb > 0; ++volNode, --nb )
3343 if ( n->GetPosition()->GetDim() == 3 )
3346 nOnFace.push_back( n );
3348 if ( !nInSolid || nOnFace.size() != nbN - 1 )
3351 // get size of the vol
3352 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
3353 double volLength = pInSolid.SquareDistance( nOnFace[0] );
3354 for ( size_t i = 1; i < nOnFace.size(); ++i )
3356 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
3359 // check if vol is close to concaveFaces
3360 const SMDS_MeshElement* closeFace =
3361 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
3363 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
3366 // check if vol is distorted, i.e. a medium node is much closer
3367 // to nInSolid than the link middle
3368 bool isDistorted = false;
3369 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
3370 if ( !SMESH_Algo::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
3372 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
3373 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
3374 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
3375 for ( size_t j = i+1; j < nOnFace.size(); ++j )
3377 SMESH_TLink link( nOnFace[i], nOnFace[j] );
3378 TLinkNodeMap::const_iterator linkIt =
3379 theHelper.GetTLinkNodeMap().find( link );
3380 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
3382 links.push_back( make_pair( linkIt->first, linkIt->second ));
3383 if ( !isDistorted ) {
3384 // compare projections of nInSolid and nMedium to face normal
3385 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
3386 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
3387 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
3388 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
3392 // move medium nodes to link middle
3395 for ( size_t i = 0; i < links.size(); ++i )
3397 const SMDS_MeshNode* nMedium = links[i].second;
3398 if ( movedNodes.insert( nMedium ).second )
3400 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
3401 SMESH_TNodeXYZ( links[i].first.node2() ));
3402 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
3403 MSG( "move OUT of solid " << nMedium );
3406 theError->myBadElements.push_back( vol );
3408 } // loop on volumes sharing a node on FACE
3409 } // loop on nodes on FACE
3410 } // loop on FACEs of a SOLID
3412 if ( !theError->myBadElements.empty() )
3413 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
3419 //=======================================================================
3421 * \brief Move medium nodes of faces and volumes to fix distorted elements
3422 * \param error - container of fixed distorted elements
3423 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
3425 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
3427 //=======================================================================
3429 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& error,
3432 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
3433 if ( getenv("NO_FixQuadraticElements") )
3436 // 0. Apply algorithm to SOLIDs or FACEs
3437 // ----------------------------------------------
3438 if ( myShape.IsNull() ) {
3439 if ( !myMesh->HasShapeToMesh() ) return;
3440 SetSubShape( myMesh->GetShapeToMesh() );
3444 TopTools_IndexedMapOfShape solids;
3445 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
3446 nbSolids = solids.Extent();
3448 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
3449 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
3450 faces.Add( f.Current() ); // not in solid
3452 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
3453 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
3454 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
3455 faces.Add( f.Current() ); // in not meshed solid
3457 else { // fix nodes in the solid and its faces
3459 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
3461 SMESH_MesherHelper h(*myMesh);
3462 h.SetSubShape( s.Current() );
3463 h.FixQuadraticElements( error, false );
3466 // fix nodes on geom faces
3468 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
3470 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
3471 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
3472 SMESH_MesherHelper h(*myMesh);
3473 h.SetSubShape( fIt.Key() );
3474 h.FixQuadraticElements( error, true);
3475 h.ToFixNodeParameters(true);
3477 //perf_print_all_meters(1);
3478 if ( error->myName == EDITERR_NO_MEDIUM_ON_GEOM )
3479 error->myComment = "during conversion to quadratic, "
3480 "some medium nodes were not placed on geometry to avoid distorting elements";
3484 // 1. Find out type of elements and get iterator on them
3485 // ---------------------------------------------------
3487 SMDS_ElemIteratorPtr elemIt;
3488 SMDSAbs_ElementType elemType = SMDSAbs_All;
3490 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
3493 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
3494 elemIt = smDS->GetElements();
3495 if ( elemIt->more() ) {
3496 elemType = elemIt->next()->GetType();
3497 elemIt = smDS->GetElements();
3500 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
3503 // 2. Fill in auxiliary data structures
3504 // ----------------------------------
3508 set< QLink >::iterator pLink;
3509 set< QFace >::iterator pFace;
3511 bool isCurved = false;
3512 //bool hasRectFaces = false;
3513 //set<int> nbElemNodeSet;
3514 SMDS_VolumeTool volTool;
3516 TIDSortedNodeSet apexOfPyramid;
3517 const int apexIndex = 4;
3520 // Move medium nodes to the link middle for elements whose corner nodes
3521 // are out of geometrical boundary to fix distorted elements.
3522 force3DOutOfBoundary( *this, error );
3524 if ( elemType == SMDSAbs_Volume )
3526 while ( elemIt->more() ) // loop on volumes
3528 const SMDS_MeshElement* vol = elemIt->next();
3529 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
3531 double volMinSize2 = -1.;
3532 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
3534 int nbN = volTool.NbFaceNodes( iF );
3535 //nbElemNodeSet.insert( nbN );
3536 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
3537 vector< const QLink* > faceLinks( nbN/2 );
3538 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
3541 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
3542 pLink = links.insert( link ).first;
3543 faceLinks[ iN/2 ] = & *pLink;
3545 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
3547 if ( !link.IsStraight() )
3548 return; // already fixed
3550 else if ( !isCurved )
3552 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
3553 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
3557 pFace = faces.insert( QFace( faceLinks )).first;
3558 if ( pFace->NbVolumes() == 0 )
3559 pFace->AddSelfToLinks();
3560 pFace->SetVolume( vol );
3561 // hasRectFaces = hasRectFaces ||
3562 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
3563 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
3566 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
3568 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
3569 faceNodes[4],faceNodes[6] );
3572 // collect pyramid apexes for further correction
3573 if ( vol->NbCornerNodes() == 5 )
3574 apexOfPyramid.insert( vol->GetNode( apexIndex ));
3576 set< QLink >::iterator pLink = links.begin();
3577 for ( ; pLink != links.end(); ++pLink )
3578 pLink->SetContinuesFaces();
3582 while ( elemIt->more() ) // loop on faces
3584 const SMDS_MeshElement* face = elemIt->next();
3585 if ( !face->IsQuadratic() )
3587 //nbElemNodeSet.insert( face->NbNodes() );
3588 int nbN = face->NbNodes()/2;
3589 vector< const QLink* > faceLinks( nbN );
3590 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
3593 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
3594 pLink = links.insert( link ).first;
3595 faceLinks[ iN ] = & *pLink;
3597 isCurved = !link.IsStraight();
3600 pFace = faces.insert( QFace( faceLinks )).first;
3601 pFace->AddSelfToLinks();
3602 //hasRectFaces = ( hasRectFaces || nbN == 4 );
3606 return; // no curved edges of faces
3608 // 3. Compute displacement of medium nodes
3609 // ---------------------------------------
3611 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones
3612 TopLoc_Location loc;
3613 // not treat boundary of volumic submesh
3614 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
3615 for ( ; isInside < 2; ++isInside ) {
3616 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
3617 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
3618 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
3620 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
3621 if ( bool(isInside) == pFace->IsBoundary() )
3623 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
3626 // make chain of links connected via continues faces
3629 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
3631 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
3633 vector< TChain > chains;
3634 if ( error == ERR_OK ) { // chain contains continues rectangles
3636 chains[0].splice( chains[0].begin(), rawChain );
3638 else if ( error == ERR_TRI ) { // chain contains continues triangles
3639 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
3640 if ( res != _OK ) { // not quadrangles split into triangles
3641 fixTriaNearBoundary( rawChain, *this );
3645 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
3646 fixPrism( rawChain );
3652 for ( int iC = 0; iC < chains.size(); ++iC )
3654 TChain& chain = chains[iC];
3655 if ( chain.empty() ) continue;
3656 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
3657 MSG("3D straight - ignore");
3660 if ( chain.front()->MediumPos() > bndPos ||
3661 chain.back() ->MediumPos() > bndPos ) {
3662 MSG("Internal chain - ignore");
3665 // mesure chain length and compute link position along the chain
3666 double chainLen = 0;
3667 vector< double > linkPos;
3668 MSGBEG( "Link medium nodes: ");
3669 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
3670 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
3671 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
3672 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
3673 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
3674 link1 = chain.erase( link1 );
3675 if ( link1 == chain.end() )
3677 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
3680 linkPos.push_back( chainLen );
3683 if ( linkPos.size() < 2 )
3686 gp_Vec move0 = chain.front()->_nodeMove;
3687 gp_Vec move1 = chain.back ()->_nodeMove;
3690 bool checkUV = true;
3693 // compute node displacement of end links of chain in parametric space of face
3694 TChainLink& linkOnFace = *(++chain.begin());
3695 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
3696 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
3697 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
3699 face = TopoDS::Face( f );
3700 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
3702 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
3704 TChainLink& link = is1 ? chain.back() : chain.front();
3705 gp_XY uvm = GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV);
3706 gp_XY uv1 = GetNodeUV( face, link->node1(), nodeOnFace, &checkUV);
3707 gp_XY uv2 = GetNodeUV( face, link->node2(), nodeOnFace, &checkUV);
3708 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
3709 // uvMove = uvm - uv12
3710 gp_XY uvMove = applyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
3711 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
3712 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
3713 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
3714 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
3715 10 * uvMove.SquareModulus());
3717 if ( isStraight[0] && isStraight[1] ) {
3718 MSG("2D straight - ignore");
3719 continue; // straight - no need to move nodes of internal links
3722 // check if a chain is already fixed
3723 gp_XY uvm = GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV);
3724 gp_XY uv1 = GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV);
3725 gp_XY uv2 = GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV);
3726 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
3727 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
3729 MSG("Already fixed - ignore");
3735 if ( isInside || face.IsNull() )
3737 // compute node displacement of end links in their local coord systems
3739 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
3740 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
3741 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
3742 move0.Transform(trsf);
3745 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
3746 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
3747 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
3748 move1.Transform(trsf);
3751 // compute displacement of medium nodes
3752 link2 = chain.begin();
3755 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
3757 double r = linkPos[i] / chainLen;
3758 // displacement in local coord system
3759 gp_Vec move = (1. - r) * move0 + r * move1;
3760 if ( isInside || face.IsNull()) {
3761 // transform to global
3762 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
3763 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
3764 gp_Vec x = x01.Normalized() + x12.Normalized();
3765 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
3766 move.Transform(trsf);
3769 // compute 3D displacement by 2D one
3770 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
3771 gp_XY oldUV = GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV);
3772 gp_XY newUV = applyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added);
3773 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
3774 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
3776 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
3777 move.SquareMagnitude())
3779 gp_XY uv0 = GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV);
3780 gp_XY uv2 = GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV);
3781 MSG( "TOO LONG MOVE \t" <<
3782 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
3783 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
3784 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
3785 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
3789 (*link1)->Move( move );
3790 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
3791 << chain.front()->_mediumNode->GetID() <<"-"
3792 << chain.back ()->_mediumNode->GetID() <<
3793 " by " << move.Magnitude());
3795 } // loop on chains of links
3796 } // loop on 2 directions of propagation from quadrangle
3798 } // fix faces and/or volumes
3803 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
3804 if ( pLink->IsMoved() ) {
3805 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
3806 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
3811 // Move the apex of pyramid together with the most curved link.
3812 // TIDSortedNodeSet::iterator apexIt = apexOfPyramid.begin();
3813 // for ( ; apexIt != apexOfPyramid.end(); ++apexIt )
3815 // SMESH_TNodeXYZ apex = *apexIt;
3817 // gp_Vec maxMove( 0,0,0 );
3818 // double maxMoveSize2 = 0;
3820 // // shift of node index to get medium nodes between the base nodes
3821 // const int base2MediumShift = 5;
3823 // // find maximal movement of medium node
3824 // SMDS_ElemIteratorPtr volIt = apex._node->GetInverseElementIterator( SMDSAbs_Volume );
3825 // vector< const SMDS_MeshElement* > pyramids;
3826 // while ( volIt->more() )
3828 // const SMDS_MeshElement* pyram = volIt->next();
3829 // if ( pyram->GetEntityType() != SMDSEntity_Quad_Pyramid ) continue;
3830 // pyramids.push_back( pyram );
3832 // for ( int iBase = 0; iBase < apexIndex; ++iBase )
3834 // SMESH_TNodeXYZ medium = pyram->GetNode( iBase + base2MediumShift );
3835 // if ( medium._node->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
3837 // SMESH_TNodeXYZ n1 = pyram->GetNode( iBase );
3838 // SMESH_TNodeXYZ n2 = pyram->GetNode( ( iBase+1 ) % 4 );
3839 // gp_Pnt middle = 0.5 * ( n1 + n2 );
3840 // gp_Vec move( middle, medium );
3841 // double moveSize2 = move.SquareMagnitude();
3842 // if ( moveSize2 > maxMoveSize2 )
3843 // maxMove = move, maxMoveSize2 = moveSize2;
3849 // if ( maxMoveSize2 > 1e-20 )
3851 // apex += maxMove.XYZ();
3852 // GetMeshDS()->MoveNode( apex._node, apex.X(), apex.Y(), apex.Z());
3854 // // move medium nodes neighboring the apex to the middle
3855 // const int base2MediumShift_2 = 9;
3856 // for ( unsigned i = 0; i < pyramids.size(); ++i )
3857 // for ( int iBase = 0; iBase < apexIndex; ++iBase )
3859 // SMESH_TNodeXYZ base = pyramids[i]->GetNode( iBase );
3860 // const SMDS_MeshNode* medium = pyramids[i]->GetNode( iBase + base2MediumShift_2 );
3861 // gp_XYZ middle = 0.5 * ( apex + base );
3862 // GetMeshDS()->MoveNode( medium, middle.X(), middle.Y(), middle.Z());