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_FacePosition.hxx"
30 #include "SMDS_EdgePosition.hxx"
31 #include "SMDS_VolumeTool.hxx"
32 #include "SMESH_subMesh.hxx"
33 #include "SMESH_ProxyMesh.hxx"
35 #include <BRepAdaptor_Surface.hxx>
36 #include <BRepTools.hxx>
37 #include <BRepTools_WireExplorer.hxx>
38 #include <BRep_Tool.hxx>
39 #include <Geom2d_Curve.hxx>
40 #include <GeomAPI_ProjectPointOnCurve.hxx>
41 #include <GeomAPI_ProjectPointOnSurf.hxx>
42 #include <Geom_Curve.hxx>
43 #include <Geom_RectangularTrimmedSurface.hxx>
44 #include <Geom_Surface.hxx>
45 #include <ShapeAnalysis.hxx>
47 #include <TopExp_Explorer.hxx>
48 #include <TopTools_ListIteratorOfListOfShape.hxx>
49 #include <TopTools_MapIteratorOfMapOfShape.hxx>
50 #include <TopTools_MapOfShape.hxx>
53 #include <gp_Pnt2d.hxx>
54 #include <gp_Trsf.hxx>
56 #include <Standard_Failure.hxx>
57 #include <Standard_ErrorHandler.hxx>
59 #include <utilities.h>
65 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
69 gp_XYZ XYZ(const SMDS_MeshNode* n) { return gp_XYZ(n->X(), n->Y(), n->Z()); }
71 enum { U_periodic = 1, V_periodic = 2 };
74 //================================================================================
78 //================================================================================
80 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
81 : myParIndex(0), myMesh(&theMesh), myShapeID(0), myCreateQuadratic(false)
83 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
84 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
87 //=======================================================================
88 //function : ~SMESH_MesherHelper
90 //=======================================================================
92 SMESH_MesherHelper::~SMESH_MesherHelper()
95 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
96 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
97 delete i_proj->second;
100 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
101 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
102 delete i_proj->second;
106 //=======================================================================
107 //function : IsQuadraticSubMesh
108 //purpose : Check submesh for given shape: if all elements on this shape
109 // are quadratic, quadratic elements will be created.
110 // Also fill myTLinkNodeMap
111 //=======================================================================
113 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
115 SMESHDS_Mesh* meshDS = GetMeshDS();
116 // we can create quadratic elements only if all elements
117 // created on sub-shapes of given shape are quadratic
118 // also we have to fill myTLinkNodeMap
119 myCreateQuadratic = true;
120 mySeamShapeIds.clear();
121 myDegenShapeIds.clear();
122 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
123 if ( aSh.ShapeType()==TopAbs_COMPOUND )
125 TopoDS_Iterator subIt( aSh );
127 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
129 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
132 int nbOldLinks = myTLinkNodeMap.size();
134 if ( !myMesh->HasShapeToMesh() )
136 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
138 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
139 while ( fIt->more() )
140 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
145 TopExp_Explorer exp( aSh, subType );
146 TopTools_MapOfShape checkedSubShapes;
147 for (; exp.More() && myCreateQuadratic; exp.Next()) {
148 if ( !checkedSubShapes.Add( exp.Current() ))
149 continue; // needed if aSh is compound of solids
150 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
151 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
153 const SMDS_MeshElement* e = it->next();
154 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
155 myCreateQuadratic = false;
160 switch ( e->NbNodes() ) {
162 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
164 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
165 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
166 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
168 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
169 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
170 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
171 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
174 myCreateQuadratic = false;
184 if ( nbOldLinks == myTLinkNodeMap.size() )
185 myCreateQuadratic = false;
187 if(!myCreateQuadratic) {
188 myTLinkNodeMap.clear();
192 return myCreateQuadratic;
195 //=======================================================================
196 //function : SetSubShape
197 //purpose : Set geomerty to make elements on
198 //=======================================================================
200 void SMESH_MesherHelper::SetSubShape(const int aShID)
202 if ( aShID == myShapeID )
205 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
207 SetSubShape( TopoDS_Shape() );
210 //=======================================================================
211 //function : SetSubShape
212 //purpose : Set geomerty to create elements on
213 //=======================================================================
215 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
217 if ( myShape.IsSame( aSh ))
221 mySeamShapeIds.clear();
222 myDegenShapeIds.clear();
224 if ( myShape.IsNull() ) {
228 SMESHDS_Mesh* meshDS = GetMeshDS();
229 myShapeID = meshDS->ShapeToIndex(aSh);
232 // treatment of periodic faces
233 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
235 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
237 Handle(Geom_Surface) surface = BRep_Tool::Surface( face, loc );
239 if ( surface->IsUPeriodic() || surface->IsVPeriodic() ||
240 surface->IsUClosed() || surface->IsVClosed() )
242 //while ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
243 //surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
244 GeomAdaptor_Surface surf( surface );
246 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
248 // look for a seam edge
249 const TopoDS_Edge& edge = TopoDS::Edge( exp.Current() );
250 if ( BRep_Tool::IsClosed( edge, face )) {
251 // initialize myPar1, myPar2 and myParIndex
253 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
254 if ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Abs( uv1.Coord(2) - uv2.Coord(2) ))
256 myParIndex |= U_periodic;
257 myPar1[0] = surf.FirstUParameter();
258 myPar2[0] = surf.LastUParameter();
261 myParIndex |= V_periodic;
262 myPar1[1] = surf.FirstVParameter();
263 myPar2[1] = surf.LastVParameter();
265 // store seam shape indices, negative if shape encounters twice
266 int edgeID = meshDS->ShapeToIndex( edge );
267 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
268 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
269 int vertexID = meshDS->ShapeToIndex( v.Current() );
270 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
274 // look for a degenerated edge
275 if ( BRep_Tool::Degenerated( edge )) {
276 myDegenShapeIds.insert( meshDS->ShapeToIndex( edge ));
277 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
278 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
285 //=======================================================================
286 //function : GetNodeUVneedInFaceNode
287 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
288 // Return true if the face is periodic.
289 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
291 //=======================================================================
293 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
295 if ( F.IsNull() ) return !mySeamShapeIds.empty();
297 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
298 return !mySeamShapeIds.empty();
301 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
302 if ( !aSurface.IsNull() )
303 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
308 //=======================================================================
309 //function : IsMedium
311 //=======================================================================
313 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
314 const SMDSAbs_ElementType typeToCheck)
316 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
319 //=======================================================================
320 //function : GetSubShapeByNode
321 //purpose : Return support shape of a node
322 //=======================================================================
324 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
325 const SMESHDS_Mesh* meshDS)
327 int shapeID = node->getshapeId();
328 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
329 return meshDS->IndexToShape( shapeID );
331 return TopoDS_Shape();
335 //=======================================================================
336 //function : AddTLinkNode
337 //purpose : add a link in my data structure
338 //=======================================================================
340 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
341 const SMDS_MeshNode* n2,
342 const SMDS_MeshNode* n12)
344 // add new record to map
345 SMESH_TLink link( n1, n2 );
346 myTLinkNodeMap.insert( make_pair(link,n12));
349 //================================================================================
351 * \brief Add quadratic links of edge to own data structure
353 //================================================================================
355 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
357 if ( edge->IsQuadratic() )
358 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
361 //================================================================================
363 * \brief Add quadratic links of face to own data structure
365 //================================================================================
367 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
370 switch ( f->NbNodes() ) {
372 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
373 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
374 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
376 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
377 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
378 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
379 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7));
384 //================================================================================
386 * \brief Add quadratic links of volume to own data structure
388 //================================================================================
390 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
392 if ( volume->IsQuadratic() )
394 SMDS_VolumeTool vTool( volume );
395 const SMDS_MeshNode** nodes = vTool.GetNodes();
397 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
399 const int nbN = vTool.NbFaceNodes( iF );
400 const int* iNodes = vTool.GetFaceNodesIndices( iF );
401 for ( int i = 0; i < nbN; )
403 int iN1 = iNodes[i++];
404 int iN12 = iNodes[i++];
405 int iN2 = iNodes[i++];
406 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
407 int linkID = iN1 * vTool.NbNodes() + iN2;
408 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
409 if ( it_isNew.second )
410 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
412 addedLinks.erase( it_isNew.first ); // each link encounters only twice
418 //================================================================================
420 * \brief Return true if position of nodes on the shape hasn't yet been checked or
421 * the positions proved to be invalid
423 //================================================================================
425 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
427 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
428 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
431 //================================================================================
433 * \brief Set validity of positions of nodes on the shape.
434 * Once set, validity is not changed
436 //================================================================================
438 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
440 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok));
443 //=======================================================================
444 //function : GetUVOnSeam
445 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
446 //=======================================================================
448 gp_Pnt2d SMESH_MesherHelper::GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
450 gp_Pnt2d result = uv1;
451 for ( int i = U_periodic; i <= V_periodic ; ++i )
453 if ( myParIndex & i )
455 double p1 = uv1.Coord( i );
456 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
457 if ( myParIndex == i ||
458 dp1 < ( myPar2[i-1] - myPar2[i-1] ) / 100. ||
459 dp2 < ( myPar2[i-1] - myPar2[i-1] ) / 100. )
461 double p2 = uv2.Coord( i );
462 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
463 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
464 result.SetCoord( i, p1Alt );
471 //=======================================================================
472 //function : GetNodeUV
473 //purpose : Return node UV on face
474 //=======================================================================
476 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
477 const SMDS_MeshNode* n,
478 const SMDS_MeshNode* n2,
481 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
482 const SMDS_PositionPtr Pos = n->GetPosition();
484 if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE)
486 // node has position on face
487 const SMDS_FacePosition* fpos =
488 static_cast<const SMDS_FacePosition*>(n->GetPosition());
489 uv.SetCoord(fpos->GetUParameter(),fpos->GetVParameter());
491 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
493 else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE)
495 // node has position on edge => it is needed to find
496 // corresponding edge from face, get pcurve for this
497 // edge and retrieve value from this pcurve
498 const SMDS_EdgePosition* epos =
499 static_cast<const SMDS_EdgePosition*>(n->GetPosition());
500 int edgeID = n->getshapeId();
501 TopoDS_Edge E = TopoDS::Edge(GetMeshDS()->IndexToShape(edgeID));
502 double f, l, u = epos->GetUParameter();
503 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
504 bool validU = ( f < u && u < l );
506 uv = C2d->Value( u );
508 uv.SetCoord( Precision::Infinite(),0.);
509 if ( check || !validU )
510 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ),/*force=*/ !validU );
512 // for a node on a seam edge select one of UVs on 2 pcurves
513 if ( n2 && IsSeamShape( edgeID ) )
515 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
518 { // adjust uv to period
520 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
521 Standard_Boolean isUPeriodic = S->IsUPeriodic();
522 Standard_Boolean isVPeriodic = S->IsVPeriodic();
523 if ( isUPeriodic || isVPeriodic ) {
524 Standard_Real UF,UL,VF,VL;
525 S->Bounds(UF,UL,VF,VL);
527 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
529 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
533 else if(Pos->GetTypeOfPosition()==SMDS_TOP_VERTEX)
535 if ( int vertexID = n->getshapeId() ) {
536 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
538 uv = BRep_Tool::Parameters( V, F );
541 catch (Standard_Failure& exc) {
544 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
545 uvOK = ( V == vert.Current() );
548 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
549 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
551 // get UV of a vertex closest to the node
553 gp_Pnt pn = XYZ( n );
554 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() ) {
555 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
556 gp_Pnt p = BRep_Tool::Pnt( curV );
557 double curDist = p.SquareDistance( pn );
558 if ( curDist < dist ) {
560 uv = BRep_Tool::Parameters( curV, F );
561 uvOK = ( dist < DBL_MIN );
567 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
568 for ( ; it.More(); it.Next() ) {
569 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
570 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
572 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
573 if ( !C2d.IsNull() ) {
574 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
575 uv = C2d->Value( u );
583 if ( n2 && IsSeamShape( vertexID ) )
584 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
589 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
598 //=======================================================================
599 //function : CheckNodeUV
600 //purpose : Check and fix node UV on a face
601 //=======================================================================
603 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
604 const SMDS_MeshNode* n,
608 double distXYZ[4]) const
610 int shapeID = n->getshapeId();
611 bool infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ));
612 if ( force || toCheckPosOnShape( shapeID ) || infinit )
614 // check that uv is correct
616 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
617 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
619 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
621 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
623 setPosOnShapeValidity( shapeID, false );
624 if ( !infinit && distXYZ ) {
625 surfPnt.Transform( loc );
627 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
629 // uv incorrect, project the node to surface
630 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
631 projector.Perform( nodePnt );
632 if ( !projector.IsDone() || projector.NbPoints() < 1 )
634 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
637 Quantity_Parameter U,V;
638 projector.LowerDistanceParameters(U,V);
640 surfPnt = surface->Value( U, V );
641 dist = nodePnt.Distance( surfPnt );
643 surfPnt.Transform( loc );
645 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
649 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
652 // store the fixed UV on the face
653 if ( myShape.IsSame(F) && shapeID == myShapeID )
654 const_cast<SMDS_MeshNode*>(n)->SetPosition
655 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
657 else if ( uv.Modulus() > numeric_limits<double>::min() )
659 setPosOnShapeValidity( shapeID, true );
665 //=======================================================================
666 //function : GetProjector
667 //purpose : Return projector intitialized by given face without location, which is returned
668 //=======================================================================
670 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
671 TopLoc_Location& loc,
674 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
675 int faceID = GetMeshDS()->ShapeToIndex( F );
676 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
677 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
678 if ( i_proj == i2proj.end() )
680 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
681 double U1, U2, V1, V2;
682 surface->Bounds(U1, U2, V1, V2);
683 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
684 proj->Init( surface, U1, U2, V1, V2, tol );
685 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
687 return *( i_proj->second );
692 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
693 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
694 gp_XY_FunPtr(Subtracted);
697 //=======================================================================
698 //function : applyIn2D
699 //purpose : Perform given operation on two 2d points in parameric space of given surface.
700 // It takes into account period of the surface. Use gp_XY_FunPtr macro
701 // to easily define pointer to function of gp_XY class.
702 //=======================================================================
704 gp_XY SMESH_MesherHelper::applyIn2D(const Handle(Geom_Surface)& surface,
708 const bool resultInPeriod)
710 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
711 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
712 if ( !isUPeriodic && !isVPeriodic )
715 // move uv2 not far than half-period from uv1
717 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
719 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
722 gp_XY res = fun( uv1, gp_XY(u2,v2) );
724 // move result within period
725 if ( resultInPeriod )
727 Standard_Real UF,UL,VF,VL;
728 surface->Bounds(UF,UL,VF,VL);
730 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
732 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
737 //=======================================================================
738 //function : GetMiddleUV
739 //purpose : Return middle UV taking in account surface period
740 //=======================================================================
742 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
747 // the proper place of getting basic surface seems to be in applyIn2D()
748 // but we put it here to decrease a risk of regressions just before releasing a version
749 Handle(Geom_Surface) surf = surface;
750 while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
751 surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
753 return applyIn2D( surf, p1, p2, & AverageUV );
756 //=======================================================================
757 //function : GetNodeU
758 //purpose : Return node U on edge
759 //=======================================================================
761 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
762 const SMDS_MeshNode* n,
763 const SMDS_MeshNode* inEdgeNode,
767 const SMDS_PositionPtr pos = n->GetPosition();
768 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
770 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
771 param = epos->GetUParameter();
773 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
775 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
778 BRep_Tool::Range( E, f,l );
779 double uInEdge = GetNodeU( E, inEdgeNode );
780 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
784 SMESHDS_Mesh * meshDS = GetMeshDS();
785 int vertexID = n->getshapeId();
786 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
787 param = BRep_Tool::Parameter( V, E );
792 double tol = BRep_Tool::Tolerance( E );
793 double f,l; BRep_Tool::Range( E, f,l );
794 bool force = ( param < f-tol || param > l+tol );
795 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
796 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
798 *check = CheckNodeU( E, n, param, 2*tol, force );
803 //=======================================================================
804 //function : CheckNodeU
805 //purpose : Check and fix node U on an edge
806 // Return false if U is bad and could not be fixed
807 //=======================================================================
809 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
810 const SMDS_MeshNode* n,
814 double distXYZ[4]) const
816 int shapeID = n->getshapeId();
817 if ( force || toCheckPosOnShape( shapeID ))
819 TopLoc_Location loc; double f,l;
820 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
821 if ( curve.IsNull() ) // degenerated edge
823 if ( u+tol < f || u-tol > l )
825 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
831 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
832 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
833 gp_Pnt curvPnt = curve->Value( u );
834 double dist = nodePnt.Distance( curvPnt );
836 curvPnt.Transform( loc );
838 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
842 setPosOnShapeValidity( shapeID, false );
843 // u incorrect, project the node to the curve
844 int edgeID = GetMeshDS()->ShapeToIndex( E );
845 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
846 TID2ProjectorOnCurve::iterator i_proj =
847 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
848 if ( !i_proj->second )
850 i_proj->second = new GeomAPI_ProjectPointOnCurve();
851 i_proj->second->Init( curve, f, l );
853 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
854 projector->Perform( nodePnt );
855 if ( projector->NbPoints() < 1 )
857 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
860 Quantity_Parameter U = projector->LowerDistanceParameter();
862 curvPnt = curve->Value( u );
863 dist = nodePnt.Distance( curvPnt );
865 curvPnt.Transform( loc );
867 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
871 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
872 MESSAGE("distance " << dist << " " << tol );
875 // store the fixed U on the edge
876 if ( myShape.IsSame(E) && shapeID == myShapeID )
877 const_cast<SMDS_MeshNode*>(n)->SetPosition
878 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
880 else if ( fabs( u ) > numeric_limits<double>::min() )
882 setPosOnShapeValidity( shapeID, true );
884 if (( u < f-tol || u > l+tol ) && force )
886 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
889 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
890 double period = curve->Period();
891 u = ( u < f ) ? u + period : u - period;
893 catch (Standard_Failure& exc)
903 //=======================================================================
904 //function : GetMediumPos
905 //purpose : Return index and type of the shape (EDGE or FACE only) to
906 // set a medium node on
907 //=======================================================================
909 std::pair<int, TopAbs_ShapeEnum> SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
910 const SMDS_MeshNode* n2)
912 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
916 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
918 shapeType = myShape.ShapeType();
921 else if ( n1->getshapeId() == n2->getshapeId() )
923 shapeID = n2->getshapeId();
924 shape = GetSubShapeByNode( n1, GetMeshDS() );
928 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
929 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
931 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
934 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
936 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE )
938 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
939 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
940 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
941 if ( IsSubShape( S, F ))
943 shapeType = TopAbs_FACE;
944 shapeID = n1->getshapeId();
948 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
950 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
951 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
952 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
954 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
956 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
957 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
958 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
959 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
961 else // VERTEX and EDGE
963 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
964 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
965 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
966 if ( IsSubShape( V, E ))
969 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
973 if ( !shape.IsNull() )
976 shapeID = GetMeshDS()->ShapeToIndex( shape );
977 shapeType = shape.ShapeType();
979 return make_pair( shapeID, shapeType );
982 //=======================================================================
983 //function : GetMediumNode
984 //purpose : Return existing or create new medium nodes between given ones
985 //=======================================================================
987 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
988 const SMDS_MeshNode* n2,
991 // Find existing node
993 SMESH_TLink link(n1,n2);
994 ItTLinkNode itLN = myTLinkNodeMap.find( link );
995 if ( itLN != myTLinkNodeMap.end() ) {
996 return (*itLN).second;
999 // Create medium node
1002 SMESHDS_Mesh* meshDS = GetMeshDS();
1004 if ( IsSeamShape( n1->getshapeId() ))
1005 // to get a correct UV of a node on seam, the second node must have checked UV
1006 std::swap( n1, n2 );
1008 // get type of shape for the new medium node
1009 int faceID = -1, edgeID = -1;
1010 TopoDS_Edge E; double u [2];
1011 TopoDS_Face F; gp_XY uv[2];
1012 bool uvOK[2] = { false, false };
1014 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2 );
1016 // get positions of the given nodes on shapes
1017 if ( pos.second == TopAbs_FACE )
1019 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1020 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1021 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1023 else if ( pos.second == TopAbs_EDGE )
1025 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1026 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1027 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1028 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1029 n1->getshapeId() != n2->getshapeId() )
1032 return getMediumNodeOnComposedWire(n1,n2,force3d);
1034 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1035 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1036 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1039 if ( !force3d & uvOK[0] && uvOK[1] )
1041 // we try to create medium node using UV parameters of
1042 // nodes, else - medium between corresponding 3d points
1045 //if ( uvOK[0] && uvOK[1] )
1047 if ( IsDegenShape( n1->getshapeId() )) {
1048 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1049 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1051 else if ( IsDegenShape( n2->getshapeId() )) {
1052 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1053 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1056 TopLoc_Location loc;
1057 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1058 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1059 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1060 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1061 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1062 myTLinkNodeMap.insert(make_pair(link,n12));
1066 else if ( !E.IsNull() )
1069 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1072 Standard_Boolean isPeriodic = C->IsPeriodic();
1075 Standard_Real Period = C->Period();
1076 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1077 Standard_Real pmid = (u[0]+p)/2.;
1078 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1083 gp_Pnt P = C->Value( U );
1084 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1085 meshDS->SetNodeOnEdge(n12, edgeID, U);
1086 myTLinkNodeMap.insert(make_pair(link,n12));
1093 double x = ( n1->X() + n2->X() )/2.;
1094 double y = ( n1->Y() + n2->Y() )/2.;
1095 double z = ( n1->Z() + n2->Z() )/2.;
1096 n12 = meshDS->AddNode(x,y,z);
1100 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1101 CheckNodeUV( F, n12, UV, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1102 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1104 else if ( !E.IsNull() )
1106 double U = ( u[0] + u[1] ) / 2.;
1107 CheckNodeU( E, n12, U, 2*BRep_Tool::Tolerance( E ), /*force=*/true);
1108 meshDS->SetNodeOnEdge(n12, edgeID, U);
1110 else if ( myShapeID > 0 )
1112 meshDS->SetNodeInVolume(n12, myShapeID);
1115 myTLinkNodeMap.insert( make_pair( link, n12 ));
1119 //================================================================================
1121 * \brief Makes a medium node if nodes reside different edges
1123 //================================================================================
1125 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1126 const SMDS_MeshNode* n2,
1129 gp_Pnt middle = 0.5 * XYZ(n1) + 0.5 * XYZ(n2);
1130 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1132 // To find position on edge and 3D position for n12,
1133 // project <middle> to 2 edges and select projection most close to <middle>
1135 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4];
1137 TopoDS_Edge edges[2];
1138 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1141 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1142 TopoDS_Shape shape = GetSubShapeByNode( n, GetMeshDS() );
1143 if ( shape.IsNull() || shape.ShapeType() != TopAbs_EDGE )
1146 // project to get U of projection and distance from middle to projection
1147 TopoDS_Edge edge = edges[ is2nd ] = TopoDS::Edge( shape );
1148 double node2MiddleDist = middle.Distance( XYZ(n) );
1149 double foundU = GetNodeU( edge, n );
1150 CheckNodeU( edge, n12, foundU, 2*BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1151 if ( distXYZ[0] < node2MiddleDist )
1153 distMiddleProj = distXYZ[0];
1158 if ( Precision::IsInfinite( distMiddleProj ))
1160 // both projections failed; set n12 on the edge of n1 with U of a common vertex
1161 TopoDS_Vertex vCommon;
1162 if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1163 u = BRep_Tool::Parameter( vCommon, edges[0] );
1166 double f,l, u0 = GetNodeU( edges[0], n1 );
1167 BRep_Tool::Range( edges[0],f,l );
1168 u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1174 // move n12 to position of a successfull projection
1175 double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1176 if ( !force3d && distMiddleProj > 2*tol )
1178 TopLoc_Location loc; double f,l;
1179 Handle(Geom_Curve) curve = BRep_Tool::Curve( edges[iOkEdge],loc,f,l );
1180 gp_Pnt p = curve->Value( u );
1181 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1184 GetMeshDS()->SetNodeOnEdge(n12, edges[iOkEdge], u);
1186 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1191 //=======================================================================
1192 //function : AddNode
1193 //purpose : Creates a node
1194 //=======================================================================
1196 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1199 SMESHDS_Mesh * meshDS = GetMeshDS();
1200 SMDS_MeshNode* node = 0;
1202 node = meshDS->AddNodeWithID( x, y, z, ID );
1204 node = meshDS->AddNode( x, y, z );
1205 if ( mySetElemOnShape && myShapeID > 0 ) {
1206 switch ( myShape.ShapeType() ) {
1207 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1208 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1209 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1210 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1211 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1218 //=======================================================================
1219 //function : AddEdge
1220 //purpose : Creates quadratic or linear edge
1221 //=======================================================================
1223 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1224 const SMDS_MeshNode* n2,
1228 SMESHDS_Mesh * meshDS = GetMeshDS();
1230 SMDS_MeshEdge* edge = 0;
1231 if (myCreateQuadratic) {
1232 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1234 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1236 edge = meshDS->AddEdge(n1, n2, n12);
1240 edge = meshDS->AddEdgeWithID(n1, n2, id);
1242 edge = meshDS->AddEdge(n1, n2);
1245 if ( mySetElemOnShape && myShapeID > 0 )
1246 meshDS->SetMeshElementOnShape( edge, myShapeID );
1251 //=======================================================================
1252 //function : AddFace
1253 //purpose : Creates quadratic or linear triangle
1254 //=======================================================================
1256 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1257 const SMDS_MeshNode* n2,
1258 const SMDS_MeshNode* n3,
1262 SMESHDS_Mesh * meshDS = GetMeshDS();
1263 SMDS_MeshFace* elem = 0;
1265 if( n1==n2 || n2==n3 || n3==n1 )
1268 if(!myCreateQuadratic) {
1270 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1272 elem = meshDS->AddFace(n1, n2, n3);
1275 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1276 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1277 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1280 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1282 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1284 if ( mySetElemOnShape && myShapeID > 0 )
1285 meshDS->SetMeshElementOnShape( elem, myShapeID );
1290 //=======================================================================
1291 //function : AddFace
1292 //purpose : Creates quadratic or linear quadrangle
1293 //=======================================================================
1295 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1296 const SMDS_MeshNode* n2,
1297 const SMDS_MeshNode* n3,
1298 const SMDS_MeshNode* n4,
1302 SMESHDS_Mesh * meshDS = GetMeshDS();
1303 SMDS_MeshFace* elem = 0;
1306 return AddFace(n1,n3,n4,id,force3d);
1309 return AddFace(n1,n2,n4,id,force3d);
1312 return AddFace(n1,n2,n3,id,force3d);
1315 return AddFace(n1,n2,n4,id,force3d);
1318 return AddFace(n1,n2,n3,id,force3d);
1321 return AddFace(n1,n2,n3,id,force3d);
1324 if(!myCreateQuadratic) {
1326 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1328 elem = meshDS->AddFace(n1, n2, n3, n4);
1331 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1332 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1333 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1334 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1337 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1339 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1341 if ( mySetElemOnShape && myShapeID > 0 )
1342 meshDS->SetMeshElementOnShape( elem, myShapeID );
1347 //=======================================================================
1348 //function : AddPolygonalFace
1349 //purpose : Creates polygon, with additional nodes in quadratic mesh
1350 //=======================================================================
1352 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1356 SMESHDS_Mesh * meshDS = GetMeshDS();
1357 SMDS_MeshFace* elem = 0;
1359 if(!myCreateQuadratic) {
1361 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
1363 elem = meshDS->AddPolygonalFace(nodes);
1366 vector<const SMDS_MeshNode*> newNodes;
1367 for ( int i = 0; i < nodes.size(); ++i )
1369 const SMDS_MeshNode* n1 = nodes[i];
1370 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
1371 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1372 newNodes.push_back( n1 );
1373 newNodes.push_back( n12 );
1376 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
1378 elem = meshDS->AddPolygonalFace(newNodes);
1380 if ( mySetElemOnShape && myShapeID > 0 )
1381 meshDS->SetMeshElementOnShape( elem, myShapeID );
1386 //=======================================================================
1387 //function : AddVolume
1388 //purpose : Creates quadratic or linear prism
1389 //=======================================================================
1391 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1392 const SMDS_MeshNode* n2,
1393 const SMDS_MeshNode* n3,
1394 const SMDS_MeshNode* n4,
1395 const SMDS_MeshNode* n5,
1396 const SMDS_MeshNode* n6,
1400 SMESHDS_Mesh * meshDS = GetMeshDS();
1401 SMDS_MeshVolume* elem = 0;
1402 if(!myCreateQuadratic) {
1404 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
1406 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
1409 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1410 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1411 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1413 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1414 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1415 const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,force3d);
1417 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1418 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1419 const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,force3d);
1422 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
1423 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
1425 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
1426 n12, n23, n31, n45, n56, n64, n14, n25, n36);
1428 if ( mySetElemOnShape && myShapeID > 0 )
1429 meshDS->SetMeshElementOnShape( elem, myShapeID );
1434 //=======================================================================
1435 //function : AddVolume
1436 //purpose : Creates quadratic or linear tetrahedron
1437 //=======================================================================
1439 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1440 const SMDS_MeshNode* n2,
1441 const SMDS_MeshNode* n3,
1442 const SMDS_MeshNode* n4,
1446 SMESHDS_Mesh * meshDS = GetMeshDS();
1447 SMDS_MeshVolume* elem = 0;
1448 if(!myCreateQuadratic) {
1450 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
1452 elem = meshDS->AddVolume(n1, n2, n3, n4);
1455 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1456 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1457 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1459 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1460 const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,force3d);
1461 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1464 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
1466 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
1468 if ( mySetElemOnShape && myShapeID > 0 )
1469 meshDS->SetMeshElementOnShape( elem, myShapeID );
1474 //=======================================================================
1475 //function : AddVolume
1476 //purpose : Creates quadratic or linear pyramid
1477 //=======================================================================
1479 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1480 const SMDS_MeshNode* n2,
1481 const SMDS_MeshNode* n3,
1482 const SMDS_MeshNode* n4,
1483 const SMDS_MeshNode* n5,
1487 SMDS_MeshVolume* elem = 0;
1488 if(!myCreateQuadratic) {
1490 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
1492 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
1495 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1496 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1497 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1498 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1500 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1501 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1502 const SMDS_MeshNode* n35 = GetMediumNode(n3,n5,force3d);
1503 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1506 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
1511 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
1513 n15, n25, n35, n45);
1515 if ( mySetElemOnShape && myShapeID > 0 )
1516 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
1521 //=======================================================================
1522 //function : AddVolume
1523 //purpose : Creates quadratic or linear hexahedron
1524 //=======================================================================
1526 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1527 const SMDS_MeshNode* n2,
1528 const SMDS_MeshNode* n3,
1529 const SMDS_MeshNode* n4,
1530 const SMDS_MeshNode* n5,
1531 const SMDS_MeshNode* n6,
1532 const SMDS_MeshNode* n7,
1533 const SMDS_MeshNode* n8,
1537 SMESHDS_Mesh * meshDS = GetMeshDS();
1538 SMDS_MeshVolume* elem = 0;
1539 if(!myCreateQuadratic) {
1541 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
1543 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
1546 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1547 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1548 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1549 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1551 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1552 const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,force3d);
1553 const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,force3d);
1554 const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,force3d);
1556 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1557 const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,force3d);
1558 const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,force3d);
1559 const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,force3d);
1562 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
1563 n12, n23, n34, n41, n56, n67,
1564 n78, n85, n15, n26, n37, n48, id);
1566 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
1567 n12, n23, n34, n41, n56, n67,
1568 n78, n85, n15, n26, n37, n48);
1570 if ( mySetElemOnShape && myShapeID > 0 )
1571 meshDS->SetMeshElementOnShape( elem, myShapeID );
1576 //=======================================================================
1577 //function : AddPolyhedralVolume
1578 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
1579 //=======================================================================
1582 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
1583 const std::vector<int>& quantities,
1587 SMESHDS_Mesh * meshDS = GetMeshDS();
1588 SMDS_MeshVolume* elem = 0;
1589 if(!myCreateQuadratic)
1592 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
1594 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
1598 vector<const SMDS_MeshNode*> newNodes;
1599 vector<int> newQuantities;
1600 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
1602 int nbNodesInFace = quantities[iFace];
1603 newQuantities.push_back(0);
1604 for ( int i = 0; i < nbNodesInFace; ++i )
1606 const SMDS_MeshNode* n1 = nodes[ iN + i ];
1607 newNodes.push_back( n1 );
1608 newQuantities.back()++;
1610 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
1611 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
1612 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
1614 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1615 newNodes.push_back( n12 );
1616 newQuantities.back()++;
1619 iN += nbNodesInFace;
1622 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
1624 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
1626 if ( mySetElemOnShape && myShapeID > 0 )
1627 meshDS->SetMeshElementOnShape( elem, myShapeID );
1632 //=======================================================================
1633 //function : LoadNodeColumns
1634 //purpose : Load nodes bound to face into a map of node columns
1635 //=======================================================================
1637 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
1638 const TopoDS_Face& theFace,
1639 const TopoDS_Edge& theBaseEdge,
1640 SMESHDS_Mesh* theMesh,
1641 SMESH_ProxyMesh* theProxyMesh)
1643 return LoadNodeColumns(theParam2ColumnMap,
1645 std::list<TopoDS_Edge>(1,theBaseEdge),
1650 //=======================================================================
1651 //function : LoadNodeColumns
1652 //purpose : Load nodes bound to face into a map of node columns
1653 //=======================================================================
1655 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
1656 const TopoDS_Face& theFace,
1657 const std::list<TopoDS_Edge>& theBaseSide,
1658 SMESHDS_Mesh* theMesh,
1659 SMESH_ProxyMesh* theProxyMesh)
1661 // get a right submesh of theFace
1663 const SMESHDS_SubMesh* faceSubMesh = 0;
1666 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
1667 if ( !faceSubMesh ||
1668 faceSubMesh->NbElements() == 0 ||
1669 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
1671 // can use a proxy sub-mesh with not temporary elements only
1677 faceSubMesh = theMesh->MeshElements( theFace );
1678 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
1681 // get data of edges for normalization of params
1683 vector< double > length;
1685 list<TopoDS_Edge>::const_iterator edge;
1687 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
1689 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
1691 length.push_back( len );
1695 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
1696 edge = theBaseSide.begin();
1697 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
1699 map< double, const SMDS_MeshNode*> sortedBaseNodes;
1700 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNodes);
1701 if ( sortedBaseNodes.empty() ) continue;
1704 BRep_Tool::Range( *edge, f, l );
1705 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
1706 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
1707 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
1708 map< double, const SMDS_MeshNode*>::iterator u_n = sortedBaseNodes.begin();
1709 for ( ; u_n != sortedBaseNodes.end(); u_n++ )
1711 double par = prevPar + coeff * ( u_n->first - f );
1712 TParam2ColumnMap::iterator u2nn =
1713 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
1714 u2nn->second.push_back( u_n->second );
1717 TParam2ColumnMap::iterator par_nVec_2, par_nVec_1 = theParam2ColumnMap.begin();
1720 for ( ; par_nVec_1 != theParam2ColumnMap.end(); ++par_nVec_1 )
1722 const SMDS_MeshNode* & n = par_nVec_1->second[0];
1723 n = theProxyMesh->GetProxyNode( n );
1727 int nbRows = 1 + faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 );
1729 // fill theParam2ColumnMap column by column by passing from nodes on
1730 // theBaseEdge up via mesh faces on theFace
1732 par_nVec_2 = theParam2ColumnMap.begin();
1733 par_nVec_1 = par_nVec_2++;
1734 TIDSortedElemSet emptySet, avoidSet;
1735 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
1737 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
1738 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
1739 nCol1.resize( nbRows );
1740 nCol2.resize( nbRows );
1742 int i1, i2, iRow = 0;
1743 const SMDS_MeshNode *n1 = nCol1[0], *n2 = nCol2[0];
1744 // find face sharing node n1 and n2 and belonging to faceSubMesh
1745 while ( const SMDS_MeshElement* face =
1746 SMESH_MeshEditor::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
1748 if ( faceSubMesh->Contains( face ))
1750 int nbNodes = face->IsQuadratic() ? face->NbNodes()/2 : face->NbNodes();
1753 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
1754 n2 = face->GetNode( (i1+2) % 4 );
1755 if ( ++iRow >= nbRows )
1761 avoidSet.insert( face );
1763 // set a real height
1764 nCol1.resize( iRow + 1 );
1765 nCol2.resize( iRow + 1 );
1767 return theParam2ColumnMap.size() > 1 && theParam2ColumnMap.begin()->second.size() > 1;
1770 //=======================================================================
1771 //function : NbAncestors
1772 //purpose : Return number of unique ancestors of the shape
1773 //=======================================================================
1775 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
1776 const SMESH_Mesh& mesh,
1777 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
1779 TopTools_MapOfShape ancestors;
1780 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
1781 for ( ; ansIt.More(); ansIt.Next() ) {
1782 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
1783 ancestors.Add( ansIt.Value() );
1785 return ancestors.Extent();
1788 //=======================================================================
1789 //function : GetSubShapeOri
1790 //purpose : Return orientation of sub-shape in the main shape
1791 //=======================================================================
1793 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
1794 const TopoDS_Shape& subShape)
1796 TopAbs_Orientation ori = TopAbs_Orientation(-1);
1797 if ( !shape.IsNull() && !subShape.IsNull() )
1799 TopExp_Explorer e( shape, subShape.ShapeType() );
1800 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
1801 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
1802 for ( ; e.More(); e.Next())
1803 if ( subShape.IsSame( e.Current() ))
1806 ori = e.Current().Orientation();
1811 //=======================================================================
1812 //function : IsSubShape
1814 //=======================================================================
1816 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
1817 const TopoDS_Shape& mainShape )
1819 if ( !shape.IsNull() && !mainShape.IsNull() )
1821 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
1824 if ( shape.IsSame( exp.Current() ))
1827 SCRUTE((shape.IsNull()));
1828 SCRUTE((mainShape.IsNull()));
1832 //=======================================================================
1833 //function : IsSubShape
1835 //=======================================================================
1837 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
1839 if ( shape.IsNull() || !aMesh )
1842 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
1844 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
1847 //================================================================================
1849 * \brief Return maximal tolerance of shape
1851 //================================================================================
1853 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
1855 double tol = Precision::Confusion();
1856 TopExp_Explorer exp;
1857 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
1858 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
1859 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
1860 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
1861 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
1862 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
1867 //================================================================================
1869 * \brief Check if the first and last vertices of an edge are the same
1870 * \param anEdge - the edge to check
1871 * \retval bool - true if same
1873 //================================================================================
1875 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
1877 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
1878 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
1879 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
1882 //================================================================================
1884 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
1885 * in the case of INTERNAL edge
1887 //================================================================================
1889 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
1893 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
1894 anEdge.Orientation( TopAbs_FORWARD );
1896 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
1897 TopoDS_Iterator vIt( anEdge, CumOri );
1898 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
1901 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
1904 //=======================================================================
1905 //function : IsQuadraticMesh
1906 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
1907 // quadratic elements will be created.
1908 // Used then generated 3D mesh without geometry.
1909 //=======================================================================
1911 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
1913 int NbAllEdgsAndFaces=0;
1914 int NbQuadFacesAndEdgs=0;
1915 int NbFacesAndEdges=0;
1916 //All faces and edges
1917 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
1919 //Quadratic faces and edges
1920 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
1922 //Linear faces and edges
1923 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
1925 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
1927 return SMESH_MesherHelper::QUADRATIC;
1929 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
1931 return SMESH_MesherHelper::LINEAR;
1934 //Mesh with both type of elements
1935 return SMESH_MesherHelper::COMP;
1938 //=======================================================================
1939 //function : GetOtherParam
1940 //purpose : Return an alternative parameter for a node on seam
1941 //=======================================================================
1943 double SMESH_MesherHelper::GetOtherParam(const double param) const
1945 int i = myParIndex & U_periodic ? 0 : 1;
1946 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
1951 //=======================================================================
1953 * \brief Iterator on ancestors of the given type
1955 //=======================================================================
1957 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
1959 TopTools_ListIteratorOfListOfShape _ancIter;
1960 TopAbs_ShapeEnum _type;
1961 TopTools_MapOfShape _encountered;
1962 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
1963 : _ancIter( ancestors ), _type( type )
1965 if ( _ancIter.More() ) {
1966 if ( _ancIter.Value().ShapeType() != _type ) next();
1967 else _encountered.Add( _ancIter.Value() );
1972 return _ancIter.More();
1974 virtual const TopoDS_Shape* next()
1976 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
1977 if ( _ancIter.More() )
1978 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
1979 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
1987 //=======================================================================
1989 * \brief Return iterator on ancestors of the given type
1991 //=======================================================================
1993 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
1994 const SMESH_Mesh& mesh,
1995 TopAbs_ShapeEnum ancestorType)
1997 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
2000 //=======================================================================
2001 //function : GetCommonAncestor
2002 //purpose : Find a common ancestors of two shapes of the given type
2003 //=======================================================================
2005 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
2006 const TopoDS_Shape& shape2,
2007 const SMESH_Mesh& mesh,
2008 TopAbs_ShapeEnum ancestorType)
2010 TopoDS_Shape commonAnc;
2011 if ( !shape1.IsNull() && !shape2.IsNull() )
2013 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
2014 while ( const TopoDS_Shape* anc = ancIt->next() )
2015 if ( IsSubShape( shape2, *anc ))
2024 //#include <Perf_Meter.hxx>
2026 //=======================================================================
2027 namespace { // Structures used by FixQuadraticElements()
2028 //=======================================================================
2030 #define __DMP__(txt) \
2032 #define MSG(txt) __DMP__(txt<<endl)
2033 #define MSGBEG(txt) __DMP__(txt)
2035 //const double straightTol2 = 1e-33; // to detect straing links
2036 bool isStraightLink(double linkLen2, double middleNodeMove2)
2038 // straight if <node move> < 1/15 * <link length>
2039 return middleNodeMove2 < 1/15./15. * linkLen2;
2043 // ---------------------------------------
2045 * \brief Quadratic link knowing its faces
2047 struct QLink: public SMESH_TLink
2049 const SMDS_MeshNode* _mediumNode;
2050 mutable vector<const QFace* > _faces;
2051 mutable gp_Vec _nodeMove;
2052 mutable int _nbMoves;
2054 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
2055 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
2057 //if ( MediumPos() != SMDS_TOP_3DSPACE )
2058 _nodeMove = MediumPnt() - MiddlePnt();
2060 void SetContinuesFaces() const;
2061 const QFace* GetContinuesFace( const QFace* face ) const;
2062 bool OnBoundary() const;
2063 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
2064 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
2066 SMDS_TypeOfPosition MediumPos() const
2067 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
2068 SMDS_TypeOfPosition EndPos(bool isSecond) const
2069 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
2070 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
2071 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
2073 void Move(const gp_Vec& move, bool sum=false) const
2074 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; }
2075 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
2076 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
2077 bool IsStraight() const
2078 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
2079 _nodeMove.SquareMagnitude());
2081 bool operator<(const QLink& other) const {
2082 return (node1()->GetID() == other.node1()->GetID() ?
2083 node2()->GetID() < other.node2()->GetID() :
2084 node1()->GetID() < other.node1()->GetID());
2086 // struct PtrComparator {
2087 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
2090 // ---------------------------------------------------------
2092 * \brief Link in the chain of links; it connects two faces
2096 const QLink* _qlink;
2097 mutable const QFace* _qfaces[2];
2099 TChainLink(const QLink* qlink=0):_qlink(qlink) {
2100 _qfaces[0] = _qfaces[1] = 0;
2102 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
2104 bool IsBoundary() const { return !_qfaces[1]; }
2106 void RemoveFace( const QFace* face ) const
2107 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
2109 const QFace* NextFace( const QFace* f ) const
2110 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
2112 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
2113 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
2115 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
2117 operator bool() const { return (_qlink); }
2119 const QLink* operator->() const { return _qlink; }
2121 gp_Vec Normal() const;
2123 bool IsStraight() const;
2125 // --------------------------------------------------------------------
2126 typedef list< TChainLink > TChain;
2127 typedef set < TChainLink > TLinkSet;
2128 typedef TLinkSet::const_iterator TLinkInSet;
2130 const int theFirstStep = 5;
2132 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
2133 // --------------------------------------------------------------------
2135 * \brief Face shared by two volumes and bound by QLinks
2137 struct QFace: public TIDSortedNodeSet
2139 mutable const SMDS_MeshElement* _volumes[2];
2140 mutable vector< const QLink* > _sides;
2141 mutable bool _sideIsAdded[4]; // added in chain of links
2144 mutable const SMDS_MeshElement* _face;
2147 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
2149 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
2151 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
2153 void AddSelfToLinks() const {
2154 for ( int i = 0; i < _sides.size(); ++i )
2155 _sides[i]->_faces.push_back( this );
2157 int LinkIndex( const QLink* side ) const {
2158 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
2161 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
2163 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
2165 int i = LinkIndex( link._qlink );
2166 if ( i < 0 ) return true;
2167 _sideIsAdded[i] = true;
2168 link.SetFace( this );
2169 // continue from opposite link
2170 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
2172 bool IsBoundary() const { return !_volumes[1]; }
2174 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
2176 bool IsSpoiled(const QLink* bentLink ) const;
2178 TLinkInSet GetBoundaryLink( const TLinkSet& links,
2179 const TChainLink& avoidLink,
2180 TLinkInSet * notBoundaryLink = 0,
2181 const SMDS_MeshNode* nodeToContain = 0,
2182 bool * isAdjacentUsed = 0,
2183 int nbRecursionsLeft = -1) const;
2185 TLinkInSet GetLinkByNode( const TLinkSet& links,
2186 const TChainLink& avoidLink,
2187 const SMDS_MeshNode* nodeToContain) const;
2189 const SMDS_MeshNode* GetNodeInFace() const {
2190 for ( int iL = 0; iL < _sides.size(); ++iL )
2191 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
2195 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
2197 double MoveByBoundary( const TChainLink& theLink,
2198 const gp_Vec& theRefVec,
2199 const TLinkSet& theLinks,
2200 SMESH_MesherHelper* theFaceHelper=0,
2201 const double thePrevLen=0,
2202 const int theStep=theFirstStep,
2203 gp_Vec* theLinkNorm=0,
2204 double theSign=1.0) const;
2207 //================================================================================
2209 * \brief Dump QLink and QFace
2211 ostream& operator << (ostream& out, const QLink& l)
2213 out <<"QLink nodes: "
2214 << l.node1()->GetID() << " - "
2215 << l._mediumNode->GetID() << " - "
2216 << l.node2()->GetID() << endl;
2219 ostream& operator << (ostream& out, const QFace& f)
2221 out <<"QFace nodes: "/*<< &f << " "*/;
2222 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
2223 out << (*n)->GetID() << " ";
2224 out << " \tvolumes: "
2225 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
2226 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
2227 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
2231 //================================================================================
2233 * \brief Construct QFace from QLinks
2235 //================================================================================
2237 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
2239 _volumes[0] = _volumes[1] = 0;
2241 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
2242 _normal.SetCoord(0,0,0);
2243 for ( int i = 1; i < _sides.size(); ++i ) {
2244 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
2245 insert( l1->node1() ); insert( l1->node2() );
2247 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
2248 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
2249 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
2253 double normSqSize = _normal.SquareMagnitude();
2254 if ( normSqSize > numeric_limits<double>::min() )
2255 _normal /= sqrt( normSqSize );
2257 _normal.SetCoord(1e-33,0,0);
2263 //================================================================================
2265 * \brief Make up a chain of links
2266 * \param iSide - link to add first
2267 * \param chain - chain to fill in
2268 * \param pos - postion of medium nodes the links should have
2269 * \param error - out, specifies what is wrong
2270 * \retval bool - false if valid chain can't be built; "valid" means that links
2271 * of the chain belongs to rectangles bounding hexahedrons
2273 //================================================================================
2275 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
2277 if ( iSide >= _sides.size() ) // wrong argument iSide
2279 if ( _sideIsAdded[ iSide ]) // already in chain
2282 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
2285 list< const QFace* > faces( 1, this );
2286 while ( !faces.empty() ) {
2287 const QFace* face = faces.front();
2288 for ( int i = 0; i < face->_sides.size(); ++i ) {
2289 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
2290 face->_sideIsAdded[i] = true;
2291 // find a face side in the chain
2292 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
2293 // TChain::iterator chLink = chain.begin();
2294 // for ( ; chLink != chain.end(); ++chLink )
2295 // if ( chLink->_qlink == face->_sides[i] )
2297 // if ( chLink == chain.end() )
2298 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
2299 // add a face to a chained link and put a continues face in the queue
2300 chLink->SetFace( face );
2301 if ( face->_sides[i]->MediumPos() == pos )
2302 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
2303 if ( contFace->_sides.size() == 3 )
2304 faces.push_back( contFace );
2309 if ( error < ERR_TRI )
2311 chain.insert( chain.end(), links.begin(),links.end() );
2314 _sideIsAdded[iSide] = true; // not to add this link to chain again
2315 const QLink* link = _sides[iSide];
2319 // add link into chain
2320 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
2321 chLink->SetFace( this );
2324 // propagate from quadrangle to neighbour faces
2325 if ( link->MediumPos() >= pos ) {
2326 int nbLinkFaces = link->_faces.size();
2327 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
2328 // hexahedral mesh or boundary quadrangles - goto a continous face
2329 if ( const QFace* f = link->GetContinuesFace( this ))
2330 if ( f->_sides.size() == 4 )
2331 return f->GetLinkChain( *chLink, chain, pos, error );
2334 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
2335 for ( int i = 0; i < nbLinkFaces; ++i )
2336 if ( link->_faces[i] )
2337 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
2338 if ( error < ERR_PRISM )
2346 //================================================================================
2348 * \brief Return a boundary link of the triangle face
2349 * \param links - set of all links
2350 * \param avoidLink - link not to return
2351 * \param notBoundaryLink - out, neither the returned link nor avoidLink
2352 * \param nodeToContain - node the returned link must contain; if provided, search
2353 * also performed on adjacent faces
2354 * \param isAdjacentUsed - returns true if link is found in adjacent faces
2355 * \param nbRecursionsLeft - to limit recursion
2357 //================================================================================
2359 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
2360 const TChainLink& avoidLink,
2361 TLinkInSet * notBoundaryLink,
2362 const SMDS_MeshNode* nodeToContain,
2363 bool * isAdjacentUsed,
2364 int nbRecursionsLeft) const
2366 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
2368 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
2369 TFaceLinkList adjacentFaces;
2371 for ( int iL = 0; iL < _sides.size(); ++iL )
2373 if ( avoidLink._qlink == _sides[iL] )
2375 TLinkInSet link = links.find( _sides[iL] );
2376 if ( link == linksEnd ) continue;
2377 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
2378 continue; // We work on faces here, don't go inside a solid
2381 if ( link->IsBoundary() ) {
2382 if ( !nodeToContain ||
2383 (*link)->node1() == nodeToContain ||
2384 (*link)->node2() == nodeToContain )
2386 boundaryLink = link;
2387 if ( !notBoundaryLink ) break;
2390 else if ( notBoundaryLink ) {
2391 *notBoundaryLink = link;
2392 if ( boundaryLink != linksEnd ) break;
2395 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
2396 if ( const QFace* adj = link->NextFace( this ))
2397 if ( adj->Contains( nodeToContain ))
2398 adjacentFaces.push_back( make_pair( adj, link ));
2401 if ( isAdjacentUsed ) *isAdjacentUsed = false;
2402 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
2404 if ( nbRecursionsLeft < 0 )
2405 nbRecursionsLeft = nodeToContain->NbInverseElements();
2406 TFaceLinkList::iterator adj = adjacentFaces.begin();
2407 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
2408 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
2409 isAdjacentUsed, nbRecursionsLeft-1);
2410 if ( isAdjacentUsed ) *isAdjacentUsed = true;
2412 return boundaryLink;
2414 //================================================================================
2416 * \brief Return a link ending at the given node but not avoidLink
2418 //================================================================================
2420 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
2421 const TChainLink& avoidLink,
2422 const SMDS_MeshNode* nodeToContain) const
2424 for ( int i = 0; i < _sides.size(); ++i )
2425 if ( avoidLink._qlink != _sides[i] &&
2426 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
2427 return links.find( _sides[ i ]);
2431 //================================================================================
2433 * \brief Return normal to the i-th side pointing outside the face
2435 //================================================================================
2437 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
2439 gp_Vec norm, vecOut;
2440 // if ( uvHelper ) {
2441 // TopoDS_Face face = TopoDS::Face( uvHelper->GetSubShape());
2442 // const SMDS_MeshNode* inFaceNode = uvHelper->GetNodeUVneedInFaceNode() ? GetNodeInFace() : 0;
2443 // gp_XY uv1 = uvHelper->GetNodeUV( face, _sides[i]->node1(), inFaceNode );
2444 // gp_XY uv2 = uvHelper->GetNodeUV( face, _sides[i]->node2(), inFaceNode );
2445 // norm.SetCoord( uv1.Y() - uv2.Y(), uv2.X() - uv1.X(), 0 );
2447 // const QLink* otherLink = _sides[(i + 1) % _sides.size()];
2448 // const SMDS_MeshNode* otherNode =
2449 // otherLink->node1() == _sides[i]->node1() ? otherLink->node2() : otherLink->node1();
2450 // gp_XY pIn = uvHelper->GetNodeUV( face, otherNode, inFaceNode );
2451 // vecOut.SetCoord( uv1.X() - pIn.X(), uv1.Y() - pIn.Y(), 0 );
2454 norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
2455 gp_XYZ pIn = ( XYZ( _sides[0]->node1() ) +
2456 XYZ( _sides[0]->node2() ) +
2457 XYZ( _sides[1]->node1() )) / 3.;
2458 vecOut.SetXYZ( _sides[i]->MiddlePnt() - pIn );
2460 if ( norm * vecOut < 0 )
2462 double mag2 = norm.SquareMagnitude();
2463 if ( mag2 > numeric_limits<double>::min() )
2464 norm /= sqrt( mag2 );
2467 //================================================================================
2469 * \brief Move medium node of theLink according to its distance from boundary
2470 * \param theLink - link to fix
2471 * \param theRefVec - movement of boundary
2472 * \param theLinks - all adjacent links of continous triangles
2473 * \param theFaceHelper - helper is not used so far
2474 * \param thePrevLen - distance from the boundary
2475 * \param theStep - number of steps till movement propagation limit
2476 * \param theLinkNorm - out normal to theLink
2477 * \param theSign - 1 or -1 depending on movement of boundary
2478 * \retval double - distance from boundary to propagation limit or other boundary
2480 //================================================================================
2482 double QFace::MoveByBoundary( const TChainLink& theLink,
2483 const gp_Vec& theRefVec,
2484 const TLinkSet& theLinks,
2485 SMESH_MesherHelper* theFaceHelper,
2486 const double thePrevLen,
2488 gp_Vec* theLinkNorm,
2489 double theSign) const
2492 return thePrevLen; // propagation limit reached
2494 int iL; // index of theLink
2495 for ( iL = 0; iL < _sides.size(); ++iL )
2496 if ( theLink._qlink == _sides[ iL ])
2499 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
2500 <<" thePrevLen " << thePrevLen);
2501 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
2503 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
2504 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
2505 if ( theStep == theFirstStep )
2506 theSign = refProj < 0. ? -1. : 1.;
2507 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
2508 return thePrevLen; // to propagate movement forward only, not in side dir or backward
2510 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
2511 TLinkInSet link1 = theLinks.find( _sides[iL1] );
2512 TLinkInSet link2 = theLinks.find( _sides[iL2] );
2513 if ( link1 == theLinks.end() || link2 == theLinks.end() )
2515 const QFace* f1 = link1->NextFace( this ); // adjacent faces
2516 const QFace* f2 = link2->NextFace( this );
2518 // propagate to adjacent faces till limit step or boundary
2519 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
2520 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
2521 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
2522 gp_Vec linkDir2(0,0,0);
2525 if ( f1 && theLink->MediumPos() <= (*link1)->MediumPos() )
2526 len1 = f1->MoveByBoundary
2527 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
2529 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
2531 MSG( " --------------- EXCEPTION");
2536 if ( f2 && theLink->MediumPos() <= (*link2)->MediumPos() )
2537 len2 = f2->MoveByBoundary
2538 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
2540 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
2542 MSG( " --------------- EXCEPTION");
2547 if ( theStep != theFirstStep )
2549 // choose chain length by direction of propagation most codirected with theRefVec
2550 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
2551 fullLen = choose1 ? len1 : len2;
2552 double r = thePrevLen / fullLen;
2554 gp_Vec move = linkNorm * refProj * ( 1 - r );
2555 theLink->Move( move, true );
2557 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
2558 " by " << refProj * ( 1 - r ) << " following " <<
2559 (choose1 ? *link1->_qlink : *link2->_qlink));
2561 if ( theLinkNorm ) *theLinkNorm = linkNorm;
2566 //================================================================================
2568 * \brief Checks if the face is distorted due to bentLink
2570 //================================================================================
2572 bool QFace::IsSpoiled(const QLink* bentLink ) const
2574 // code is valid for convex faces only
2576 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
2577 gc += XYZ( *n ) / size();
2578 for (unsigned i = 0; i < _sides.size(); ++i )
2580 if ( _sides[i] == bentLink ) continue;
2581 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
2582 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
2583 if ( linkNorm * vecOut < 0 )
2585 double mag2 = linkNorm.SquareMagnitude();
2586 if ( mag2 > numeric_limits<double>::min() )
2587 linkNorm /= sqrt( mag2 );
2588 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
2589 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
2590 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
2597 //================================================================================
2599 * \brief Find pairs of continues faces
2601 //================================================================================
2603 void QLink::SetContinuesFaces() const
2605 // x0 x - QLink, [-|] - QFace, v - volume
2607 // | Between _faces of link x2 two vertical faces are continues
2608 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
2609 // | to _faces[0] and _faces[1] and horizontal faces to
2610 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
2613 if ( _faces.empty() )
2615 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
2616 if ( _faces[0]->IsBoundary() )
2617 iBoundary[ nbBoundary++ ] = 0;
2618 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
2620 // look for a face bounding none of volumes bound by _faces[0]
2621 bool sameVol = false;
2622 int nbVol = _faces[iF]->NbVolumes();
2623 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
2624 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
2625 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
2628 if ( _faces[iF]->IsBoundary() )
2629 iBoundary[ nbBoundary++ ] = iF;
2631 // Set continues faces: arrange _faces to have
2632 // _faces[0] continues to _faces[1]
2633 // _faces[2] continues to _faces[3]
2634 if ( nbBoundary == 2 ) // bnd faces are continues
2636 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
2638 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
2639 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
2642 else if ( iFaceCont > 0 ) // continues faces found
2644 if ( iFaceCont != 1 )
2645 std::swap( _faces[1], _faces[iFaceCont] );
2647 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
2649 _faces.insert( ++_faces.begin(), 0 );
2652 //================================================================================
2654 * \brief Return a face continues to the given one
2656 //================================================================================
2658 const QFace* QLink::GetContinuesFace( const QFace* face ) const
2660 for ( int i = 0; i < _faces.size(); ++i ) {
2661 if ( _faces[i] == face ) {
2662 int iF = i < 2 ? 1-i : 5-i;
2663 return iF < _faces.size() ? _faces[iF] : 0;
2668 //================================================================================
2670 * \brief True if link is on mesh boundary
2672 //================================================================================
2674 bool QLink::OnBoundary() const
2676 for ( int i = 0; i < _faces.size(); ++i )
2677 if (_faces[i] && _faces[i]->IsBoundary()) return true;
2680 //================================================================================
2682 * \brief Return normal of link of the chain
2684 //================================================================================
2686 gp_Vec TChainLink::Normal() const {
2688 if (_qfaces[0]) norm = _qfaces[0]->_normal;
2689 if (_qfaces[1]) norm += _qfaces[1]->_normal;
2692 //================================================================================
2694 * \brief Test link curvature taking into account size of faces
2696 //================================================================================
2698 bool TChainLink::IsStraight() const
2700 bool isStraight = _qlink->IsStraight();
2701 if ( isStraight && _qfaces[0] && !_qfaces[1] )
2703 int i = _qfaces[0]->LinkIndex( _qlink );
2704 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
2705 gp_XYZ mid1 = _qlink->MiddlePnt();
2706 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
2707 double faceSize2 = (mid1-mid2).SquareModulus();
2708 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
2713 //================================================================================
2715 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
2717 //================================================================================
2719 void fixPrism( TChain& allLinks )
2721 // separate boundary links from internal ones
2722 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
2723 QLinkSet interLinks, bndLinks1, bndLink2;
2725 bool isCurved = false;
2726 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
2727 if ( (*lnk)->OnBoundary() )
2728 bndLinks1.insert( lnk->_qlink );
2730 interLinks.insert( lnk->_qlink );
2731 isCurved = isCurved || !lnk->IsStraight();
2734 return; // no need to move
2736 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
2738 while ( !interLinks.empty() && !curBndLinks->empty() )
2740 // propagate movement from boundary links to connected internal links
2741 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
2742 for ( ; bnd != bndEnd; ++bnd )
2744 const QLink* bndLink = *bnd;
2745 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
2747 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
2748 if ( !face ) continue;
2749 // find and move internal link opposite to bndLink within the face
2750 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
2751 const QLink* interLink = face->_sides[ interInd ];
2752 QLinkSet::iterator pInterLink = interLinks.find( interLink );
2753 if ( pInterLink == interLinks.end() ) continue; // not internal link
2754 interLink->Move( bndLink->_nodeMove );
2755 // treated internal links become new boundary ones
2756 interLinks. erase( pInterLink );
2757 newBndLinks->insert( interLink );
2760 curBndLinks->clear();
2761 std::swap( curBndLinks, newBndLinks );
2765 //================================================================================
2767 * \brief Fix links of continues triangles near curved boundary
2769 //================================================================================
2771 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
2773 if ( allLinks.empty() ) return;
2775 TLinkSet linkSet( allLinks.begin(), allLinks.end());
2776 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
2778 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
2780 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
2782 // move iff a boundary link is bent towards inside of a face (issue 0021084)
2783 const QFace* face = linkIt->_qfaces[0];
2784 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
2785 face->_sides[1]->MiddlePnt() +
2786 face->_sides[2]->MiddlePnt() ) / 3.;
2787 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
2788 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
2789 //if ( face->IsSpoiled( linkIt->_qlink ))
2790 if ( linkBentInside )
2791 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
2796 //================================================================================
2798 * \brief Detect rectangular structure of links and build chains from them
2800 //================================================================================
2802 enum TSplitTriaResult {
2803 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
2804 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
2806 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
2807 vector< TChain> & resultChains,
2808 SMDS_TypeOfPosition pos )
2810 // put links in the set and evalute number of result chains by number of boundary links
2813 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
2814 linkSet.insert( *lnk );
2815 nbBndLinks += lnk->IsBoundary();
2817 resultChains.clear();
2818 resultChains.reserve( nbBndLinks / 2 );
2820 TLinkInSet linkIt, linksEnd = linkSet.end();
2822 // find a boundary link with corner node; corner node has position pos-2
2823 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
2825 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
2826 const SMDS_MeshNode* corner = 0;
2827 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
2828 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
2833 TLinkInSet startLink = linkIt;
2834 const SMDS_MeshNode* startCorner = corner;
2835 vector< TChain* > rowChains;
2838 while ( startLink != linksEnd) // loop on columns
2840 // We suppose we have a rectangular structure like shown here. We have found a
2841 // corner of the rectangle (startCorner) and a boundary link sharing
2842 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
2843 // --o---o---o structure making several chains at once. One chain (columnChain)
2844 // |\ | /| starts at startLink and continues upward (we look at the structure
2845 // \ | \ | / | from such point that startLink is on the bottom of the structure).
2846 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
2847 // --o---o---o encounter.
2849 // / | \ | \ | startCorner
2854 if ( resultChains.size() == nbBndLinks / 2 )
2856 resultChains.push_back( TChain() );
2857 TChain& columnChain = resultChains.back();
2859 TLinkInSet botLink = startLink; // current horizontal link to go up from
2860 corner = startCorner; // current corner the botLink ends at
2862 while ( botLink != linksEnd ) // loop on rows
2864 // add botLink to the columnChain
2865 columnChain.push_back( *botLink );
2867 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
2869 { // the column ends
2870 if ( botLink == startLink )
2871 return _TWISTED_CHAIN; // issue 0020951
2872 linkSet.erase( botLink );
2873 if ( iRow != rowChains.size() )
2874 return _FEW_ROWS; // different nb of rows in columns
2877 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
2878 // link ending at <corner> (sideLink); there are two cases:
2879 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
2880 // since midQuadLink is not at boundary while sideLink is.
2881 // 2) midQuadLink ends at <corner>
2883 TLinkInSet midQuadLink = linksEnd;
2884 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
2886 if ( isCase2 ) { // find midQuadLink among links of botTria
2887 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
2888 if ( midQuadLink->IsBoundary() )
2889 return _BAD_MIDQUAD;
2891 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
2892 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
2895 columnChain.push_back( *midQuadLink );
2896 if ( iRow >= rowChains.size() ) {
2898 return _MANY_ROWS; // different nb of rows in columns
2899 if ( resultChains.size() == nbBndLinks / 2 )
2901 resultChains.push_back( TChain() );
2902 rowChains.push_back( & resultChains.back() );
2904 rowChains[iRow]->push_back( *sideLink );
2905 rowChains[iRow]->push_back( *midQuadLink );
2907 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
2911 // prepare startCorner and startLink for the next column
2912 startCorner = startLink->NextNode( startCorner );
2914 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
2916 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
2917 // check if no more columns remains
2918 if ( startLink != linksEnd ) {
2919 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
2920 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
2921 startLink = linksEnd; // startLink bounds upTria or botTria
2922 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
2926 // find bottom link and corner for the next row
2927 corner = sideLink->NextNode( corner );
2928 // next bottom link ends at the new corner
2929 linkSet.erase( botLink );
2930 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
2931 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
2933 if ( midQuadLink == startLink || sideLink == startLink )
2934 return _TWISTED_CHAIN; // issue 0020951
2935 linkSet.erase( midQuadLink );
2936 linkSet.erase( sideLink );
2938 // make faces neighboring the found ones be boundary
2939 if ( startLink != linksEnd ) {
2940 const QFace* tria = isCase2 ? botTria : upTria;
2941 for ( int iL = 0; iL < 3; ++iL ) {
2942 linkIt = linkSet.find( tria->_sides[iL] );
2943 if ( linkIt != linksEnd )
2944 linkIt->RemoveFace( tria );
2947 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
2948 botLink->RemoveFace( upTria ); // make next botTria first in vector
2955 // In the linkSet, there must remain the last links of rowChains; add them
2956 if ( linkSet.size() != rowChains.size() )
2957 return _BAD_SET_SIZE;
2958 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
2959 // find the link (startLink) ending at startCorner
2961 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
2962 if ( (*startLink)->node1() == startCorner ) {
2963 corner = (*startLink)->node2(); break;
2965 else if ( (*startLink)->node2() == startCorner) {
2966 corner = (*startLink)->node1(); break;
2969 if ( startLink == linksEnd )
2971 rowChains[ iRow ]->push_back( *startLink );
2972 linkSet.erase( startLink );
2973 startCorner = corner;
2980 //=======================================================================
2982 * \brief Move medium nodes of faces and volumes to fix distorted elements
2983 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
2985 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
2987 //=======================================================================
2989 void SMESH_MesherHelper::FixQuadraticElements(bool volumeOnly)
2991 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
2992 if ( getenv("NO_FixQuadraticElements") )
2995 // 0. Apply algorithm to solids or geom faces
2996 // ----------------------------------------------
2997 if ( myShape.IsNull() ) {
2998 if ( !myMesh->HasShapeToMesh() ) return;
2999 SetSubShape( myMesh->GetShapeToMesh() );
3003 TopTools_IndexedMapOfShape solids;
3004 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
3005 nbSolids = solids.Extent();
3007 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
3008 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
3009 faces.Add( f.Current() ); // not in solid
3011 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
3012 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
3013 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
3014 faces.Add( f.Current() ); // in not meshed solid
3016 else { // fix nodes in the solid and its faces
3018 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
3020 SMESH_MesherHelper h(*myMesh);
3021 h.SetSubShape( s.Current() );
3022 h.FixQuadraticElements(false);
3025 // fix nodes on geom faces
3027 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
3029 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
3030 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
3031 SMESH_MesherHelper h(*myMesh);
3032 h.SetSubShape( fIt.Key() );
3033 h.FixQuadraticElements(true);
3035 //perf_print_all_meters(1);
3039 // 1. Find out type of elements and get iterator on them
3040 // ---------------------------------------------------
3042 SMDS_ElemIteratorPtr elemIt;
3043 SMDSAbs_ElementType elemType = SMDSAbs_All;
3045 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
3048 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
3049 elemIt = smDS->GetElements();
3050 if ( elemIt->more() ) {
3051 elemType = elemIt->next()->GetType();
3052 elemIt = smDS->GetElements();
3055 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
3058 // 2. Fill in auxiliary data structures
3059 // ----------------------------------
3063 set< QLink >::iterator pLink;
3064 set< QFace >::iterator pFace;
3066 bool isCurved = false;
3067 //bool hasRectFaces = false;
3068 //set<int> nbElemNodeSet;
3069 SMDS_VolumeTool volTool;
3071 TIDSortedNodeSet apexOfPyramid;
3072 const int apexIndex = 4;
3074 if ( elemType == SMDSAbs_Volume )
3076 while ( elemIt->more() ) // loop on volumes
3078 const SMDS_MeshElement* vol = elemIt->next();
3079 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
3081 double volMinSize2 = -1.;
3082 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
3084 int nbN = volTool.NbFaceNodes( iF );
3085 //nbElemNodeSet.insert( nbN );
3086 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
3087 vector< const QLink* > faceLinks( nbN/2 );
3088 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
3091 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
3092 pLink = links.insert( link ).first;
3093 faceLinks[ iN/2 ] = & *pLink;
3095 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
3097 if ( !link.IsStraight() )
3098 return; // already fixed
3100 else if ( !isCurved )
3102 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
3103 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
3107 pFace = faces.insert( QFace( faceLinks )).first;
3108 if ( pFace->NbVolumes() == 0 )
3109 pFace->AddSelfToLinks();
3110 pFace->SetVolume( vol );
3111 // hasRectFaces = hasRectFaces ||
3112 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
3113 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
3116 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
3118 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
3119 faceNodes[4],faceNodes[6] );
3122 // collect pyramid apexes for further correction
3123 if ( vol->NbCornerNodes() == 5 )
3124 apexOfPyramid.insert( vol->GetNode( apexIndex ));
3126 set< QLink >::iterator pLink = links.begin();
3127 for ( ; pLink != links.end(); ++pLink )
3128 pLink->SetContinuesFaces();
3132 while ( elemIt->more() ) // loop on faces
3134 const SMDS_MeshElement* face = elemIt->next();
3135 if ( !face->IsQuadratic() )
3137 //nbElemNodeSet.insert( face->NbNodes() );
3138 int nbN = face->NbNodes()/2;
3139 vector< const QLink* > faceLinks( nbN );
3140 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
3143 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
3144 pLink = links.insert( link ).first;
3145 faceLinks[ iN ] = & *pLink;
3147 isCurved = !link.IsStraight();
3150 pFace = faces.insert( QFace( faceLinks )).first;
3151 pFace->AddSelfToLinks();
3152 //hasRectFaces = ( hasRectFaces || nbN == 4 );
3156 return; // no curved edges of faces
3158 // 3. Compute displacement of medium nodes
3159 // ---------------------------------------
3161 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones
3162 TopLoc_Location loc;
3163 // not treat boundary of volumic submesh
3164 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
3165 for ( ; isInside < 2; ++isInside ) {
3166 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
3167 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
3168 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
3170 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
3171 if ( bool(isInside) == pFace->IsBoundary() )
3173 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
3176 // make chain of links connected via continues faces
3179 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
3181 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
3183 vector< TChain > chains;
3184 if ( error == ERR_OK ) { // chain contains continues rectangles
3186 chains[0].splice( chains[0].begin(), rawChain );
3188 else if ( error == ERR_TRI ) { // chain contains continues triangles
3189 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
3190 if ( res != _OK ) { // not quadrangles split into triangles
3191 fixTriaNearBoundary( rawChain, *this );
3195 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
3196 fixPrism( rawChain );
3202 for ( int iC = 0; iC < chains.size(); ++iC )
3204 TChain& chain = chains[iC];
3205 if ( chain.empty() ) continue;
3206 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
3207 MSG("3D straight - ignore");
3210 if ( chain.front()->MediumPos() > bndPos ||
3211 chain.back() ->MediumPos() > bndPos ) {
3212 MSG("Internal chain - ignore");
3215 // mesure chain length and compute link position along the chain
3216 double chainLen = 0;
3217 vector< double > linkPos;
3218 MSGBEG( "Link medium nodes: ");
3219 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
3220 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
3221 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
3222 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
3223 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
3224 link1 = chain.erase( link1 );
3225 if ( link1 == chain.end() )
3227 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
3230 linkPos.push_back( chainLen );
3233 if ( linkPos.size() < 2 )
3236 gp_Vec move0 = chain.front()->_nodeMove;
3237 gp_Vec move1 = chain.back ()->_nodeMove;
3240 bool checkUV = true;
3243 // compute node displacement of end links of chain in parametric space of face
3244 TChainLink& linkOnFace = *(++chain.begin());
3245 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
3246 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
3247 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
3249 face = TopoDS::Face( f );
3250 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
3252 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
3254 TChainLink& link = is1 ? chain.back() : chain.front();
3255 gp_XY uvm = GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV);
3256 gp_XY uv1 = GetNodeUV( face, link->node1(), nodeOnFace, &checkUV);
3257 gp_XY uv2 = GetNodeUV( face, link->node2(), nodeOnFace, &checkUV);
3258 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
3259 // uvMove = uvm - uv12
3260 gp_XY uvMove = applyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
3261 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
3262 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
3263 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
3264 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
3265 10 * uvMove.SquareModulus());
3267 if ( isStraight[0] && isStraight[1] ) {
3268 MSG("2D straight - ignore");
3269 continue; // straight - no need to move nodes of internal links
3272 // check if a chain is already fixed
3273 gp_XY uvm = GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV);
3274 gp_XY uv1 = GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV);
3275 gp_XY uv2 = GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV);
3276 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
3277 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
3279 MSG("Already fixed - ignore");
3285 if ( isInside || face.IsNull() )
3287 // compute node displacement of end links in their local coord systems
3289 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
3290 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
3291 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
3292 move0.Transform(trsf);
3295 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
3296 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
3297 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
3298 move1.Transform(trsf);
3301 // compute displacement of medium nodes
3302 link2 = chain.begin();
3305 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
3307 double r = linkPos[i] / chainLen;
3308 // displacement in local coord system
3309 gp_Vec move = (1. - r) * move0 + r * move1;
3310 if ( isInside || face.IsNull()) {
3311 // transform to global
3312 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
3313 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
3314 gp_Vec x = x01.Normalized() + x12.Normalized();
3315 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
3316 move.Transform(trsf);
3319 // compute 3D displacement by 2D one
3320 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
3321 gp_XY oldUV = GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV);
3322 gp_XY newUV = applyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added);
3323 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
3324 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
3326 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
3327 move.SquareMagnitude())
3329 gp_XY uv0 = GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV);
3330 gp_XY uv2 = GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV);
3331 MSG( "TOO LONG MOVE \t" <<
3332 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
3333 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
3334 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
3335 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
3339 (*link1)->Move( move );
3340 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
3341 << chain.front()->_mediumNode->GetID() <<"-"
3342 << chain.back ()->_mediumNode->GetID() <<
3343 " by " << move.Magnitude());
3345 } // loop on chains of links
3346 } // loop on 2 directions of propagation from quadrangle
3353 // vector<const SMDS_MeshElement*> vols( 100 );
3354 // vector<double> volSize( 100 );
3357 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
3358 if ( pLink->IsMoved() ) {
3359 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
3360 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
3362 // gp_Pnt pNew = pLink->MiddlePnt() + pLink->Move();
3363 // if ( pLink->MediumPos() != SMDS_TOP_3DSPACE )
3365 // // avoid making distorted volumes near boundary
3366 // SMDS_ElemIteratorPtr volIt =
3367 // (*pLink)._mediumNode->GetInverseElementIterator( SMDSAbs_Volume );
3368 // for ( nbVols = 0; volIt->more() && volTool.Set( volIt->next() ); ++nbVols )
3370 // vols [ nbVols ] = volTool.Element();
3371 // volSize[ nbVols ] = volTool.GetSize();
3373 // gp_Pnt pOld = pLink->MediumPnt();
3374 // const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( pNew.X(), pNew.Y(), pNew.Z() );
3376 // while ( nbVols-- && ok )
3378 // volTool.Set( vols[ nbVols ]);
3379 // ok = ( volSize[ nbVols ] * volTool.GetSize() > 1e-20 );
3383 // const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( pOld.X(), pOld.Y(), pOld.Z() );
3384 // MSG( "Do NOT move \t" << pLink->_mediumNode->GetID()
3385 // << " because of distortion of volume " << vols[ nbVols+1 ]->GetID());
3389 // GetMeshDS()->MoveNode( pLink->_mediumNode, pNew.X(), pNew.Y(), pNew.Z() );
3396 // Move the apex of pyramid together with the most curved link
3398 TIDSortedNodeSet::iterator apexIt = apexOfPyramid.begin();
3399 for ( ; apexIt != apexOfPyramid.end(); ++apexIt )
3401 SMESH_TNodeXYZ apex = *apexIt;
3403 gp_Vec maxMove( 0,0,0 );
3404 double maxMoveSize2 = 0;
3406 // shift of node index to get medium nodes between the base nodes
3407 const int base2MediumShift = 5;
3409 // find maximal movement of medium node
3410 SMDS_ElemIteratorPtr volIt = apex._node->GetInverseElementIterator( SMDSAbs_Volume );
3411 vector< const SMDS_MeshElement* > pyramids;
3412 while ( volIt->more() )
3414 const SMDS_MeshElement* pyram = volIt->next();
3415 if ( pyram->GetEntityType() != SMDSEntity_Quad_Pyramid ) continue;
3416 pyramids.push_back( pyram );
3418 for ( int iBase = 0; iBase < apexIndex; ++iBase )
3420 SMESH_TNodeXYZ medium = pyram->GetNode( iBase + base2MediumShift );
3421 if ( medium._node->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
3423 SMESH_TNodeXYZ n1 = pyram->GetNode( iBase );
3424 SMESH_TNodeXYZ n2 = pyram->GetNode( ( iBase+1 ) % 4 );
3425 gp_Pnt middle = 0.5 * ( n1 + n2 );
3426 gp_Vec move( middle, medium );
3427 double moveSize2 = move.SquareMagnitude();
3428 if ( moveSize2 > maxMoveSize2 )
3429 maxMove = move, maxMoveSize2 = moveSize2;
3435 if ( maxMoveSize2 > 1e-20 )
3437 apex += maxMove.XYZ();
3438 GetMeshDS()->MoveNode( apex._node, apex.X(), apex.Y(), apex.Z());
3440 // move medium nodes neighboring the apex to the middle
3441 const int base2MediumShift_2 = 9;
3442 for ( unsigned i = 0; i < pyramids.size(); ++i )
3443 for ( int iBase = 0; iBase < apexIndex; ++iBase )
3445 SMESH_TNodeXYZ base = pyramids[i]->GetNode( iBase );
3446 const SMDS_MeshNode* medium = pyramids[i]->GetNode( iBase + base2MediumShift_2 );
3447 gp_XYZ middle = 0.5 * ( apex + base );
3448 GetMeshDS()->MoveNode( medium, middle.X(), middle.Y(), middle.Z());