1 // Copyright (C) 2007-2013 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESH_Block.hxx"
35 #include "SMESH_MeshAlgos.hxx"
36 #include "SMESH_ProxyMesh.hxx"
37 #include "SMESH_subMesh.hxx"
39 #include <BRepAdaptor_Curve.hxx>
40 #include <BRepAdaptor_Surface.hxx>
41 #include <BRepTools.hxx>
42 #include <BRep_Tool.hxx>
43 #include <Geom2d_Curve.hxx>
44 #include <GeomAPI_ProjectPointOnCurve.hxx>
45 #include <GeomAPI_ProjectPointOnSurf.hxx>
46 #include <Geom_Curve.hxx>
47 #include <Geom_RectangularTrimmedSurface.hxx>
48 #include <Geom_Surface.hxx>
49 #include <ShapeAnalysis.hxx>
51 #include <TopExp_Explorer.hxx>
52 #include <TopTools_ListIteratorOfListOfShape.hxx>
53 #include <TopTools_MapIteratorOfMapOfShape.hxx>
54 #include <TopTools_MapOfShape.hxx>
57 #include <gp_Pnt2d.hxx>
58 #include <gp_Trsf.hxx>
60 #include <Standard_Failure.hxx>
61 #include <Standard_ErrorHandler.hxx>
63 #include <utilities.h>
69 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
73 gp_XYZ XYZ(const SMDS_MeshNode* n) { return gp_XYZ(n->X(), n->Y(), n->Z()); }
75 enum { U_periodic = 1, V_periodic = 2 };
78 //================================================================================
82 //================================================================================
84 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
88 myCreateQuadratic(false),
89 myCreateBiQuadratic(false),
90 myFixNodeParameters(false)
92 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
93 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
96 //=======================================================================
97 //function : ~SMESH_MesherHelper
99 //=======================================================================
101 SMESH_MesherHelper::~SMESH_MesherHelper()
104 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
105 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
106 delete i_proj->second;
109 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
110 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
111 delete i_proj->second;
115 //=======================================================================
116 //function : IsQuadraticSubMesh
117 //purpose : Check submesh for given shape: if all elements on this shape
118 // are quadratic, quadratic elements will be created.
119 // Also fill myTLinkNodeMap
120 //=======================================================================
122 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
124 SMESHDS_Mesh* meshDS = GetMeshDS();
125 // we can create quadratic elements only if all elements
126 // created on sub-shapes of given shape are quadratic
127 // also we have to fill myTLinkNodeMap
128 myCreateQuadratic = true;
129 mySeamShapeIds.clear();
130 myDegenShapeIds.clear();
131 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
132 if ( aSh.ShapeType()==TopAbs_COMPOUND )
134 TopoDS_Iterator subIt( aSh );
136 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
138 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
141 int nbOldLinks = myTLinkNodeMap.size();
143 if ( !myMesh->HasShapeToMesh() )
145 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
147 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
148 while ( fIt->more() )
149 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
154 TopExp_Explorer exp( aSh, subType );
155 TopTools_MapOfShape checkedSubShapes;
156 for (; exp.More() && myCreateQuadratic; exp.Next()) {
157 if ( !checkedSubShapes.Add( exp.Current() ))
158 continue; // needed if aSh is compound of solids
159 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
160 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
162 const SMDS_MeshElement* e = it->next();
163 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
164 myCreateQuadratic = false;
169 switch ( e->NbCornerNodes() ) {
171 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
173 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
174 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
175 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
177 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
178 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
179 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
180 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
183 myCreateQuadratic = false;
193 if ( nbOldLinks == myTLinkNodeMap.size() )
194 myCreateQuadratic = false;
196 if(!myCreateQuadratic) {
197 myTLinkNodeMap.clear();
201 return myCreateQuadratic;
204 //=======================================================================
205 //function : SetSubShape
206 //purpose : Set geometry to make elements on
207 //=======================================================================
209 void SMESH_MesherHelper::SetSubShape(const int aShID)
211 if ( aShID == myShapeID )
214 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
216 SetSubShape( TopoDS_Shape() );
219 //=======================================================================
220 //function : SetSubShape
221 //purpose : Set geometry to create elements on
222 //=======================================================================
224 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
226 if ( myShape.IsSame( aSh ))
230 mySeamShapeIds.clear();
231 myDegenShapeIds.clear();
233 if ( myShape.IsNull() ) {
237 SMESHDS_Mesh* meshDS = GetMeshDS();
238 myShapeID = meshDS->ShapeToIndex(aSh);
241 // treatment of periodic faces
242 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
244 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
246 Handle(Geom_Surface) surface = BRep_Tool::Surface( face, loc );
248 if ( surface->IsUPeriodic() || surface->IsVPeriodic() ||
249 surface->IsUClosed() || surface->IsVClosed() )
251 //while ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
252 //surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
253 GeomAdaptor_Surface surf( surface );
255 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
257 // look for a seam edge
258 const TopoDS_Edge& edge = TopoDS::Edge( exp.Current() );
259 if ( BRep_Tool::IsClosed( edge, face )) {
260 // initialize myPar1, myPar2 and myParIndex
262 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
263 if ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Abs( uv1.Coord(2) - uv2.Coord(2) ))
265 myParIndex |= U_periodic;
266 myPar1[0] = surf.FirstUParameter();
267 myPar2[0] = surf.LastUParameter();
270 myParIndex |= V_periodic;
271 myPar1[1] = surf.FirstVParameter();
272 myPar2[1] = surf.LastVParameter();
274 // store seam shape indices, negative if shape encounters twice
275 int edgeID = meshDS->ShapeToIndex( edge );
276 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
277 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
278 int vertexID = meshDS->ShapeToIndex( v.Current() );
279 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
283 // look for a degenerated edge
284 if ( SMESH_Algo::isDegenerated( edge )) {
285 myDegenShapeIds.insert( meshDS->ShapeToIndex( edge ));
286 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
287 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
290 if ( !myDegenShapeIds.empty() && !myParIndex ) {
291 if ( surface->IsUPeriodic() || surface->IsUClosed() ) {
292 myParIndex |= U_periodic;
293 myPar1[0] = surf.FirstUParameter();
294 myPar2[0] = surf.LastUParameter();
296 else if ( surface->IsVPeriodic() || surface->IsVClosed() ) {
297 myParIndex |= V_periodic;
298 myPar1[1] = surf.FirstVParameter();
299 myPar2[1] = surf.LastVParameter();
306 //=======================================================================
307 //function : GetNodeUVneedInFaceNode
308 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
309 // Return true if the face is periodic.
310 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
312 //=======================================================================
314 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
316 if ( F.IsNull() ) return !mySeamShapeIds.empty();
318 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
319 return !mySeamShapeIds.empty();
322 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
323 if ( !aSurface.IsNull() )
324 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
329 //=======================================================================
330 //function : IsMedium
332 //=======================================================================
334 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
335 const SMDSAbs_ElementType typeToCheck)
337 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
340 //=======================================================================
341 //function : GetSubShapeByNode
342 //purpose : Return support shape of a node
343 //=======================================================================
345 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
346 const SMESHDS_Mesh* meshDS)
348 int shapeID = node ? node->getshapeId() : 0;
349 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
350 return meshDS->IndexToShape( shapeID );
352 return TopoDS_Shape();
356 //=======================================================================
357 //function : AddTLinkNode
358 //purpose : add a link in my data structure
359 //=======================================================================
361 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
362 const SMDS_MeshNode* n2,
363 const SMDS_MeshNode* n12)
365 // add new record to map
366 SMESH_TLink link( n1, n2 );
367 myTLinkNodeMap.insert( make_pair(link,n12));
370 //================================================================================
372 * \brief Add quadratic links of edge to own data structure
374 //================================================================================
376 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
378 if ( edge->IsQuadratic() )
379 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
382 //================================================================================
384 * \brief Add quadratic links of face to own data structure
386 //================================================================================
388 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
391 switch ( f->NbNodes() ) {
393 // myMapWithCentralNode.insert
394 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
396 // break; -- add medium nodes as well
398 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
399 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
400 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
403 // myMapWithCentralNode.insert
404 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
406 // break; -- add medium nodes as well
408 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
409 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
410 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
411 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
416 //================================================================================
418 * \brief Add quadratic links of volume to own data structure
420 //================================================================================
422 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
424 if ( volume->IsQuadratic() )
426 SMDS_VolumeTool vTool( volume );
427 const SMDS_MeshNode** nodes = vTool.GetNodes();
429 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
431 const int nbN = vTool.NbFaceNodes( iF );
432 const int* iNodes = vTool.GetFaceNodesIndices( iF );
433 for ( int i = 0; i < nbN; )
435 int iN1 = iNodes[i++];
436 int iN12 = iNodes[i++];
438 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
439 int linkID = iN1 * vTool.NbNodes() + iN2;
440 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
441 if ( it_isNew.second )
442 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
444 addedLinks.erase( it_isNew.first ); // each link encounters only twice
446 if ( vTool.NbNodes() == 27 )
448 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
449 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
450 myMapWithCentralNode.insert
451 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
452 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
459 //================================================================================
461 * \brief Return true if position of nodes on the shape hasn't yet been checked or
462 * the positions proved to be invalid
464 //================================================================================
466 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
468 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
469 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
472 //================================================================================
474 * \brief Set validity of positions of nodes on the shape.
475 * Once set, validity is not changed
477 //================================================================================
479 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
481 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok));
484 //=======================================================================
485 //function : ToFixNodeParameters
486 //purpose : Enables fixing node parameters on EDGEs and FACEs in
487 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
488 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
490 //=======================================================================
492 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
494 myFixNodeParameters = toFix;
498 //=======================================================================
499 //function : GetUVOnSeam
500 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
501 //=======================================================================
503 gp_Pnt2d SMESH_MesherHelper::GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
505 gp_Pnt2d result = uv1;
506 for ( int i = U_periodic; i <= V_periodic ; ++i )
508 if ( myParIndex & i )
510 double p1 = uv1.Coord( i );
511 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
512 if ( myParIndex == i ||
513 dp1 < ( myPar2[i-1] - myPar2[i-1] ) / 100. ||
514 dp2 < ( myPar2[i-1] - myPar2[i-1] ) / 100. )
516 double p2 = uv2.Coord( i );
517 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
518 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
519 result.SetCoord( i, p1Alt );
526 //=======================================================================
527 //function : GetNodeUV
528 //purpose : Return node UV on face
529 //=======================================================================
531 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
532 const SMDS_MeshNode* n,
533 const SMDS_MeshNode* n2,
536 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
538 const SMDS_PositionPtr Pos = n->GetPosition();
540 if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE)
542 // node has position on face
543 const SMDS_FacePosition* fpos =
544 static_cast<const SMDS_FacePosition*>(n->GetPosition());
545 uv.SetCoord(fpos->GetUParameter(),fpos->GetVParameter());
547 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
549 else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE)
551 // node has position on edge => it is needed to find
552 // corresponding edge from face, get pcurve for this
553 // edge and retrieve value from this pcurve
554 const SMDS_EdgePosition* epos =
555 static_cast<const SMDS_EdgePosition*>(n->GetPosition());
556 int edgeID = n->getshapeId();
557 TopoDS_Edge E = TopoDS::Edge(GetMeshDS()->IndexToShape(edgeID));
558 double f, l, u = epos->GetUParameter();
559 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
560 bool validU = ( f < u && u < l );
562 uv = C2d->Value( u );
564 uv.SetCoord( Precision::Infinite(),0.);
565 if ( check || !validU )
566 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ),/*force=*/ !validU );
568 // for a node on a seam edge select one of UVs on 2 pcurves
569 if ( n2 && IsSeamShape( edgeID ) )
571 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
574 { // adjust uv to period
576 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
577 Standard_Boolean isUPeriodic = S->IsUPeriodic();
578 Standard_Boolean isVPeriodic = S->IsVPeriodic();
579 if ( isUPeriodic || isVPeriodic ) {
580 Standard_Real UF,UL,VF,VL;
581 S->Bounds(UF,UL,VF,VL);
583 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
585 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
589 else if(Pos->GetTypeOfPosition()==SMDS_TOP_VERTEX)
591 if ( int vertexID = n->getshapeId() ) {
592 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
594 uv = BRep_Tool::Parameters( V, F );
597 catch (Standard_Failure& exc) {
600 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
601 uvOK = ( V == vert.Current() );
603 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
604 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
605 // get UV of a vertex closest to the node
607 gp_Pnt pn = XYZ( n );
608 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() ) {
609 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
610 gp_Pnt p = BRep_Tool::Pnt( curV );
611 double curDist = p.SquareDistance( pn );
612 if ( curDist < dist ) {
614 uv = BRep_Tool::Parameters( curV, F );
615 uvOK = ( dist < DBL_MIN );
621 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
622 for ( ; it.More(); it.Next() ) {
623 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
624 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
626 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
627 if ( !C2d.IsNull() ) {
628 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
629 uv = C2d->Value( u );
637 if ( n2 && IsSeamShape( vertexID ) )
638 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
643 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
652 //=======================================================================
653 //function : CheckNodeUV
654 //purpose : Check and fix node UV on a face
655 //=======================================================================
657 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
658 const SMDS_MeshNode* n,
662 double distXYZ[4]) const
664 int shapeID = n->getshapeId();
665 bool infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ));
666 if ( force || toCheckPosOnShape( shapeID ) || infinit )
668 // check that uv is correct
670 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
671 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
673 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
675 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
677 setPosOnShapeValidity( shapeID, false );
678 if ( !infinit && distXYZ ) {
679 surfPnt.Transform( loc );
681 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
683 // uv incorrect, project the node to surface
684 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
685 projector.Perform( nodePnt );
686 if ( !projector.IsDone() || projector.NbPoints() < 1 )
688 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
691 Quantity_Parameter U,V;
692 projector.LowerDistanceParameters(U,V);
694 surfPnt = surface->Value( U, V );
695 dist = nodePnt.Distance( surfPnt );
697 surfPnt.Transform( loc );
699 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
703 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
706 // store the fixed UV on the face
707 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
708 const_cast<SMDS_MeshNode*>(n)->SetPosition
709 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
711 else if ( uv.Modulus() > numeric_limits<double>::min() )
713 setPosOnShapeValidity( shapeID, true );
719 //=======================================================================
720 //function : GetProjector
721 //purpose : Return projector intitialized by given face without location, which is returned
722 //=======================================================================
724 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
725 TopLoc_Location& loc,
728 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
729 int faceID = GetMeshDS()->ShapeToIndex( F );
730 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
731 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
732 if ( i_proj == i2proj.end() )
734 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
735 double U1, U2, V1, V2;
736 surface->Bounds(U1, U2, V1, V2);
737 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
738 proj->Init( surface, U1, U2, V1, V2, tol );
739 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
741 return *( i_proj->second );
746 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
747 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
748 gp_XY_FunPtr(Subtracted);
751 //=======================================================================
752 //function : applyIn2D
753 //purpose : Perform given operation on two 2d points in parameric space of given surface.
754 // It takes into account period of the surface. Use gp_XY_FunPtr macro
755 // to easily define pointer to function of gp_XY class.
756 //=======================================================================
758 gp_XY SMESH_MesherHelper::applyIn2D(const Handle(Geom_Surface)& surface,
762 const bool resultInPeriod)
764 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
765 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
766 if ( !isUPeriodic && !isVPeriodic )
769 // move uv2 not far than half-period from uv1
771 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
773 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
776 gp_XY res = fun( uv1, gp_XY(u2,v2) );
778 // move result within period
779 if ( resultInPeriod )
781 Standard_Real UF,UL,VF,VL;
782 surface->Bounds(UF,UL,VF,VL);
784 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
786 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
791 //=======================================================================
792 //function : GetMiddleUV
793 //purpose : Return middle UV taking in account surface period
794 //=======================================================================
796 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
801 // the proper place of getting basic surface seems to be in applyIn2D()
802 // but we put it here to decrease a risk of regressions just before releasing a version
803 Handle(Geom_Surface) surf = surface;
804 while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
805 surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
807 return applyIn2D( surf, p1, p2, & AverageUV );
810 //=======================================================================
811 //function : GetCenterUV
812 //purpose : Return UV for the central node of a biquadratic triangle
813 //=======================================================================
815 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
821 bool * isBadTria/*=0*/)
824 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
826 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
827 uvAvg = ( uv1 + uv23 ) / 2.;
828 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
829 uvAvg = ( uv2 + uv31 ) / 2.;
830 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
831 uvAvg = ( uv3 + uv12 ) / 2.;
834 *isBadTria = badTria;
838 //=======================================================================
839 //function : GetNodeU
840 //purpose : Return node U on edge
841 //=======================================================================
843 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
844 const SMDS_MeshNode* n,
845 const SMDS_MeshNode* inEdgeNode,
848 double param = Precision::Infinite();
850 const SMDS_PositionPtr pos = n->GetPosition();
851 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
853 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
854 param = epos->GetUParameter();
856 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
858 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
861 BRep_Tool::Range( E, f,l );
862 double uInEdge = GetNodeU( E, inEdgeNode );
863 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
867 SMESHDS_Mesh * meshDS = GetMeshDS();
868 int vertexID = n->getshapeId();
869 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
870 param = BRep_Tool::Parameter( V, E );
875 double tol = BRep_Tool::Tolerance( E );
876 double f,l; BRep_Tool::Range( E, f,l );
877 bool force = ( param < f-tol || param > l+tol );
878 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
879 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
881 *check = CheckNodeU( E, n, param, 2*tol, force );
886 //=======================================================================
887 //function : CheckNodeU
888 //purpose : Check and fix node U on an edge
889 // Return false if U is bad and could not be fixed
890 //=======================================================================
892 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
893 const SMDS_MeshNode* n,
897 double distXYZ[4]) const
899 int shapeID = n->getshapeId();
900 if ( force || toCheckPosOnShape( shapeID ))
902 TopLoc_Location loc; double f,l;
903 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
904 if ( curve.IsNull() ) // degenerated edge
906 if ( u+tol < f || u-tol > l )
908 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
914 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
915 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
916 gp_Pnt curvPnt = curve->Value( u );
917 double dist = nodePnt.Distance( curvPnt );
919 curvPnt.Transform( loc );
921 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
925 setPosOnShapeValidity( shapeID, false );
926 // u incorrect, project the node to the curve
927 int edgeID = GetMeshDS()->ShapeToIndex( E );
928 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
929 TID2ProjectorOnCurve::iterator i_proj =
930 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
931 if ( !i_proj->second )
933 i_proj->second = new GeomAPI_ProjectPointOnCurve();
934 i_proj->second->Init( curve, f, l );
936 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
937 projector->Perform( nodePnt );
938 if ( projector->NbPoints() < 1 )
940 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
943 Quantity_Parameter U = projector->LowerDistanceParameter();
945 MESSAGE(" f " << f << " l " << l << " u " << u);
946 curvPnt = curve->Value( u );
947 dist = nodePnt.Distance( curvPnt );
949 curvPnt.Transform( loc );
951 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
955 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
956 MESSAGE("distance " << dist << " " << tol );
959 // store the fixed U on the edge
960 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
961 const_cast<SMDS_MeshNode*>(n)->SetPosition
962 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
964 else if ( fabs( u ) > numeric_limits<double>::min() )
966 setPosOnShapeValidity( shapeID, true );
968 if (( u < f-tol || u > l+tol ) && force )
970 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
971 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
974 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
975 double period = curve->Period();
976 u = ( u < f ) ? u + period : u - period;
978 catch (Standard_Failure& exc)
988 //=======================================================================
989 //function : GetMediumPos
990 //purpose : Return index and type of the shape (EDGE or FACE only) to
991 // set a medium node on
992 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
994 //=======================================================================
996 std::pair<int, TopAbs_ShapeEnum>
997 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
998 const SMDS_MeshNode* n2,
999 const bool useCurSubShape)
1001 if ( useCurSubShape && !myShape.IsNull() )
1002 return std::make_pair( myShapeID, myShape.ShapeType() );
1004 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1008 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1010 shapeType = myShape.ShapeType();
1011 shapeID = myShapeID;
1013 else if ( n1->getshapeId() == n2->getshapeId() )
1015 shapeID = n2->getshapeId();
1016 shape = GetSubShapeByNode( n1, GetMeshDS() );
1020 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1021 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1023 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1026 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1028 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE )
1030 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1031 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1032 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1033 if ( IsSubShape( S, F ))
1035 shapeType = TopAbs_FACE;
1036 shapeID = n1->getshapeId();
1040 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1042 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1043 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1044 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1046 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1048 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1049 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1050 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1051 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1053 else // VERTEX and EDGE
1055 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1056 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1057 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1058 if ( IsSubShape( V, E ))
1061 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1065 if ( !shape.IsNull() )
1068 shapeID = GetMeshDS()->ShapeToIndex( shape );
1069 shapeType = shape.ShapeType();
1071 return make_pair( shapeID, shapeType );
1074 //=======================================================================
1075 //function : GetCentralNode
1076 //purpose : Return existing or create a new central node for a quardilateral
1077 // quadratic face given its 8 nodes.
1078 //@param : force3d - true means node creation in between the given nodes,
1079 // else node position is found on a geometrical face if any.
1080 //=======================================================================
1082 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1083 const SMDS_MeshNode* n2,
1084 const SMDS_MeshNode* n3,
1085 const SMDS_MeshNode* n4,
1086 const SMDS_MeshNode* n12,
1087 const SMDS_MeshNode* n23,
1088 const SMDS_MeshNode* n34,
1089 const SMDS_MeshNode* n41,
1092 SMDS_MeshNode *centralNode = 0; // central node to return
1094 // Find an existing central node
1096 TBiQuad keyOfMap(n1,n2,n3,n4);
1097 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1098 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1099 if ( itMapCentralNode != myMapWithCentralNode.end() )
1101 return (*itMapCentralNode).second;
1104 // Get type of shape for the new central node
1106 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1110 TopTools_ListIteratorOfListOfShape it;
1112 std::map< int, int > faceId2nbNodes;
1113 std::map< int, int > ::iterator itMapWithIdFace;
1115 SMESHDS_Mesh* meshDS = GetMeshDS();
1117 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1118 // on sub-shapes of the FACE
1119 if ( GetMesh()->HasShapeToMesh() )
1121 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1122 for(int i = 0; i < 4; i++)
1124 shape = GetSubShapeByNode( nodes[i], meshDS );
1125 if ( shape.IsNull() ) break;
1126 if ( shape.ShapeType() == TopAbs_SOLID )
1128 solidID = nodes[i]->getshapeId();
1129 shapeType = TopAbs_SOLID;
1132 if ( shape.ShapeType() == TopAbs_FACE )
1134 faceID = nodes[i]->getshapeId();
1135 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1136 itMapWithIdFace->second++;
1140 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1141 while ( const TopoDS_Shape* face = it->next() )
1143 faceID = meshDS->ShapeToIndex( *face );
1144 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1145 itMapWithIdFace->second++;
1150 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1152 // find ID of the FACE the four corner nodes belong to
1153 itMapWithIdFace = faceId2nbNodes.begin();
1154 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1156 if ( itMapWithIdFace->second == 4 )
1158 shapeType = TopAbs_FACE;
1159 faceID = (*itMapWithIdFace).first;
1166 if ( shapeType == TopAbs_FACE )
1168 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1175 bool toCheck = true;
1176 if ( !F.IsNull() && !force3d )
1178 uvAvg = calcTFI (0.5, 0.5,
1179 GetNodeUV(F,n1,n3,&toCheck), GetNodeUV(F,n2,n4,&toCheck),
1180 GetNodeUV(F,n3,n1,&toCheck), GetNodeUV(F,n4,n2,&toCheck),
1181 GetNodeUV(F,n12,n3), GetNodeUV(F,n23,n4),
1182 GetNodeUV(F,n34,n2), GetNodeUV(F,n41,n2));
1183 TopLoc_Location loc;
1184 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1185 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1186 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1187 // if ( mySetElemOnShape ) node is not elem!
1188 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1190 else // ( force3d || F.IsNull() )
1192 P = ( SMESH_TNodeXYZ( n1 ) +
1193 SMESH_TNodeXYZ( n2 ) +
1194 SMESH_TNodeXYZ( n3 ) +
1195 SMESH_TNodeXYZ( n4 ) ) / 4;
1196 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1198 if ( !F.IsNull() ) // force3d
1200 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1201 GetNodeUV(F,n2,n4,&toCheck) +
1202 GetNodeUV(F,n3,n1,&toCheck) +
1203 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1204 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1205 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1207 else if ( solidID > 0 )
1209 meshDS->SetNodeInVolume( centralNode, solidID );
1211 else if ( myShapeID > 0 && mySetElemOnShape )
1213 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1216 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1220 //=======================================================================
1221 //function : GetCentralNode
1222 //purpose : Return existing or create a new central node for a
1223 // quadratic triangle given its 6 nodes.
1224 //@param : force3d - true means node creation in between the given nodes,
1225 // else node position is found on a geometrical face if any.
1226 //=======================================================================
1228 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1229 const SMDS_MeshNode* n2,
1230 const SMDS_MeshNode* n3,
1231 const SMDS_MeshNode* n12,
1232 const SMDS_MeshNode* n23,
1233 const SMDS_MeshNode* n31,
1236 SMDS_MeshNode *centralNode = 0; // central node to return
1238 // Find an existing central node
1240 TBiQuad keyOfMap(n1,n2,n3);
1241 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1242 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1243 if ( itMapCentralNode != myMapWithCentralNode.end() )
1245 return (*itMapCentralNode).second;
1248 // Get type of shape for the new central node
1250 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1254 TopTools_ListIteratorOfListOfShape it;
1256 std::map< int, int > faceId2nbNodes;
1257 std::map< int, int > ::iterator itMapWithIdFace;
1259 SMESHDS_Mesh* meshDS = GetMeshDS();
1261 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1262 // on sub-shapes of the FACE
1263 if ( GetMesh()->HasShapeToMesh() )
1265 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1266 for(int i = 0; i < 3; i++)
1268 shape = GetSubShapeByNode( nodes[i], meshDS );
1269 if ( shape.IsNull() ) break;
1270 if ( shape.ShapeType() == TopAbs_SOLID )
1272 solidID = nodes[i]->getshapeId();
1273 shapeType = TopAbs_SOLID;
1276 if ( shape.ShapeType() == TopAbs_FACE )
1278 faceID = nodes[i]->getshapeId();
1279 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1280 itMapWithIdFace->second++;
1284 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1285 while ( const TopoDS_Shape* face = it->next() )
1287 faceID = meshDS->ShapeToIndex( *face );
1288 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1289 itMapWithIdFace->second++;
1294 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1296 // find ID of the FACE the four corner nodes belong to
1297 itMapWithIdFace = faceId2nbNodes.begin();
1298 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1300 if ( itMapWithIdFace->second == 3 )
1302 shapeType = TopAbs_FACE;
1303 faceID = (*itMapWithIdFace).first;
1313 if ( shapeType == TopAbs_FACE )
1315 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1317 gp_XY uv1 = GetNodeUV( F, n1, n23, &check );
1318 gp_XY uv2 = GetNodeUV( F, n2, n31, &check );
1319 gp_XY uv3 = GetNodeUV( F, n3, n12, &check );
1320 gp_XY uv12 = GetNodeUV( F, n12, n3, &check );
1321 gp_XY uv23 = GetNodeUV( F, n23, n1, &check );
1322 gp_XY uv31 = GetNodeUV( F, n31, n2, &check );
1323 uvAvg = GetCenterUV( uv1,uv2,uv3, uv12,uv23,uv31, &badTria );
1328 // Create a central node
1331 if ( !F.IsNull() && !force3d )
1333 TopLoc_Location loc;
1334 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1335 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1336 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1337 // if ( mySetElemOnShape ) node is not elem!
1338 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1340 else // ( force3d || F.IsNull() )
1342 P = ( SMESH_TNodeXYZ( n12 ) +
1343 SMESH_TNodeXYZ( n23 ) +
1344 SMESH_TNodeXYZ( n31 ) ) / 3;
1345 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1347 if ( !F.IsNull() ) // force3d
1349 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1351 else if ( solidID > 0 )
1353 meshDS->SetNodeInVolume( centralNode, solidID );
1355 else if ( myShapeID > 0 && mySetElemOnShape )
1357 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1360 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1364 //=======================================================================
1365 //function : GetMediumNode
1366 //purpose : Return existing or create a new medium node between given ones
1367 //=======================================================================
1369 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1370 const SMDS_MeshNode* n2,
1373 // Find existing node
1375 SMESH_TLink link(n1,n2);
1376 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1377 if ( itLN != myTLinkNodeMap.end() ) {
1378 return (*itLN).second;
1381 // Create medium node
1384 SMESHDS_Mesh* meshDS = GetMeshDS();
1386 if ( IsSeamShape( n1->getshapeId() ))
1387 // to get a correct UV of a node on seam, the second node must have checked UV
1388 std::swap( n1, n2 );
1390 // get type of shape for the new medium node
1391 int faceID = -1, edgeID = -1;
1392 TopoDS_Edge E; double u [2];
1393 TopoDS_Face F; gp_XY uv[2];
1394 bool uvOK[2] = { false, false };
1396 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, mySetElemOnShape );
1397 // calling GetMediumPos() with useCurSubShape=mySetElemOnShape is OK only for the
1398 // case where the lower dim mesh is already constructed, else, nodes on EDGEs are
1399 // assigned to FACE, for example.
1401 // get positions of the given nodes on shapes
1402 if ( pos.second == TopAbs_FACE )
1404 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1405 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1406 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1408 else if ( pos.second == TopAbs_EDGE )
1410 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1411 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1412 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1413 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1414 n1->getshapeId() != n2->getshapeId() )
1417 return getMediumNodeOnComposedWire(n1,n2,force3d);
1419 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1420 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1421 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1424 if ( !force3d & uvOK[0] && uvOK[1] )
1426 // we try to create medium node using UV parameters of
1427 // nodes, else - medium between corresponding 3d points
1430 //if ( uvOK[0] && uvOK[1] )
1432 if ( IsDegenShape( n1->getshapeId() )) {
1433 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1434 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1436 else if ( IsDegenShape( n2->getshapeId() )) {
1437 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1438 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1441 TopLoc_Location loc;
1442 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1443 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1444 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1445 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1446 // if ( mySetElemOnShape ) node is not elem!
1447 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1448 myTLinkNodeMap.insert(make_pair(link,n12));
1452 else if ( !E.IsNull() )
1455 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1458 Standard_Boolean isPeriodic = C->IsPeriodic();
1461 Standard_Real Period = C->Period();
1462 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1463 Standard_Real pmid = (u[0]+p)/2.;
1464 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1469 gp_Pnt P = C->Value( U );
1470 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1471 //if ( mySetElemOnShape ) node is not elem!
1472 meshDS->SetNodeOnEdge(n12, edgeID, U);
1473 myTLinkNodeMap.insert(make_pair(link,n12));
1480 double x = ( n1->X() + n2->X() )/2.;
1481 double y = ( n1->Y() + n2->Y() )/2.;
1482 double z = ( n1->Z() + n2->Z() )/2.;
1483 n12 = meshDS->AddNode(x,y,z);
1485 //if ( mySetElemOnShape ) node is not elem!
1489 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1490 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1491 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1493 else if ( !E.IsNull() )
1495 double U = ( u[0] + u[1] ) / 2.;
1496 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1497 meshDS->SetNodeOnEdge(n12, edgeID, U);
1499 else if ( myShapeID > 0 && mySetElemOnShape )
1501 meshDS->SetMeshElementOnShape(n12, myShapeID);
1505 myTLinkNodeMap.insert( make_pair( link, n12 ));
1509 //================================================================================
1511 * \brief Makes a medium node if nodes reside different edges
1513 //================================================================================
1515 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1516 const SMDS_MeshNode* n2,
1519 gp_Pnt middle = 0.5 * XYZ(n1) + 0.5 * XYZ(n2);
1520 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1522 // To find position on edge and 3D position for n12,
1523 // project <middle> to 2 edges and select projection most close to <middle>
1525 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4];
1527 TopoDS_Edge edges[2];
1528 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1531 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1532 TopoDS_Shape shape = GetSubShapeByNode( n, GetMeshDS() );
1533 if ( shape.IsNull() || shape.ShapeType() != TopAbs_EDGE )
1536 // project to get U of projection and distance from middle to projection
1537 TopoDS_Edge edge = edges[ is2nd ] = TopoDS::Edge( shape );
1538 double node2MiddleDist = middle.Distance( XYZ(n) );
1539 double foundU = GetNodeU( edge, n );
1540 CheckNodeU( edge, n12, foundU, 2*BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1541 if ( distXYZ[0] < node2MiddleDist )
1543 distMiddleProj = distXYZ[0];
1548 if ( Precision::IsInfinite( distMiddleProj ))
1550 // both projections failed; set n12 on the edge of n1 with U of a common vertex
1551 TopoDS_Vertex vCommon;
1552 if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1553 u = BRep_Tool::Parameter( vCommon, edges[0] );
1556 double f,l, u0 = GetNodeU( edges[0], n1 );
1557 BRep_Tool::Range( edges[0],f,l );
1558 u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1564 // move n12 to position of a successfull projection
1565 double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1566 if ( !force3d && distMiddleProj > 2*tol )
1568 TopLoc_Location loc; double f,l;
1569 Handle(Geom_Curve) curve = BRep_Tool::Curve( edges[iOkEdge],loc,f,l );
1570 gp_Pnt p = curve->Value( u );
1571 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1574 //if ( mySetElemOnShape ) node is not elem!
1576 int edgeID = GetMeshDS()->ShapeToIndex( edges[iOkEdge] );
1577 if ( edgeID != n12->getshapeId() )
1578 GetMeshDS()->UnSetNodeOnShape( n12 );
1579 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1581 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1586 //=======================================================================
1587 //function : AddNode
1588 //purpose : Creates a node
1589 //=======================================================================
1591 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1594 SMESHDS_Mesh * meshDS = GetMeshDS();
1595 SMDS_MeshNode* node = 0;
1597 node = meshDS->AddNodeWithID( x, y, z, ID );
1599 node = meshDS->AddNode( x, y, z );
1600 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1601 switch ( myShape.ShapeType() ) {
1602 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1603 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1604 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1605 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1606 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1613 //=======================================================================
1614 //function : AddEdge
1615 //purpose : Creates quadratic or linear edge
1616 //=======================================================================
1618 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1619 const SMDS_MeshNode* n2,
1623 SMESHDS_Mesh * meshDS = GetMeshDS();
1625 SMDS_MeshEdge* edge = 0;
1626 if (myCreateQuadratic) {
1627 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1629 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1631 edge = meshDS->AddEdge(n1, n2, n12);
1635 edge = meshDS->AddEdgeWithID(n1, n2, id);
1637 edge = meshDS->AddEdge(n1, n2);
1640 if ( mySetElemOnShape && myShapeID > 0 )
1641 meshDS->SetMeshElementOnShape( edge, myShapeID );
1646 //=======================================================================
1647 //function : AddFace
1648 //purpose : Creates quadratic or linear triangle
1649 //=======================================================================
1651 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1652 const SMDS_MeshNode* n2,
1653 const SMDS_MeshNode* n3,
1657 SMESHDS_Mesh * meshDS = GetMeshDS();
1658 SMDS_MeshFace* elem = 0;
1660 if( n1==n2 || n2==n3 || n3==n1 )
1663 if(!myCreateQuadratic) {
1665 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1667 elem = meshDS->AddFace(n1, n2, n3);
1670 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1671 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1672 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1673 if(myCreateBiQuadratic)
1675 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1677 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1679 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1684 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1686 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1689 if ( mySetElemOnShape && myShapeID > 0 )
1690 meshDS->SetMeshElementOnShape( elem, myShapeID );
1695 //=======================================================================
1696 //function : AddFace
1697 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1698 //=======================================================================
1700 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1701 const SMDS_MeshNode* n2,
1702 const SMDS_MeshNode* n3,
1703 const SMDS_MeshNode* n4,
1707 SMESHDS_Mesh * meshDS = GetMeshDS();
1708 SMDS_MeshFace* elem = 0;
1711 return AddFace(n1,n3,n4,id,force3d);
1714 return AddFace(n1,n2,n4,id,force3d);
1717 return AddFace(n1,n2,n3,id,force3d);
1720 return AddFace(n1,n2,n4,id,force3d);
1723 return AddFace(n1,n2,n3,id,force3d);
1726 return AddFace(n1,n2,n3,id,force3d);
1729 if(!myCreateQuadratic) {
1731 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1733 elem = meshDS->AddFace(n1, n2, n3, n4);
1736 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1737 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1738 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1739 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1740 if(myCreateBiQuadratic)
1742 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1744 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1746 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1751 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1753 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1756 if ( mySetElemOnShape && myShapeID > 0 )
1757 meshDS->SetMeshElementOnShape( elem, myShapeID );
1762 //=======================================================================
1763 //function : AddPolygonalFace
1764 //purpose : Creates polygon, with additional nodes in quadratic mesh
1765 //=======================================================================
1767 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1771 SMESHDS_Mesh * meshDS = GetMeshDS();
1772 SMDS_MeshFace* elem = 0;
1774 if(!myCreateQuadratic) {
1776 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
1778 elem = meshDS->AddPolygonalFace(nodes);
1781 vector<const SMDS_MeshNode*> newNodes;
1782 for ( int i = 0; i < nodes.size(); ++i )
1784 const SMDS_MeshNode* n1 = nodes[i];
1785 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
1786 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1787 newNodes.push_back( n1 );
1788 newNodes.push_back( n12 );
1791 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
1793 elem = meshDS->AddPolygonalFace(newNodes);
1795 if ( mySetElemOnShape && myShapeID > 0 )
1796 meshDS->SetMeshElementOnShape( elem, myShapeID );
1801 //=======================================================================
1802 //function : AddVolume
1803 //purpose : Creates quadratic or linear prism
1804 //=======================================================================
1806 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1807 const SMDS_MeshNode* n2,
1808 const SMDS_MeshNode* n3,
1809 const SMDS_MeshNode* n4,
1810 const SMDS_MeshNode* n5,
1811 const SMDS_MeshNode* n6,
1815 SMESHDS_Mesh * meshDS = GetMeshDS();
1816 SMDS_MeshVolume* elem = 0;
1817 if(!myCreateQuadratic) {
1819 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
1821 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
1824 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1825 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1826 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1828 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1829 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1830 const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,force3d);
1832 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1833 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1834 const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,force3d);
1837 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
1838 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
1840 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
1841 n12, n23, n31, n45, n56, n64, n14, n25, n36);
1843 if ( mySetElemOnShape && myShapeID > 0 )
1844 meshDS->SetMeshElementOnShape( elem, myShapeID );
1849 //=======================================================================
1850 //function : AddVolume
1851 //purpose : Creates quadratic or linear tetrahedron
1852 //=======================================================================
1854 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1855 const SMDS_MeshNode* n2,
1856 const SMDS_MeshNode* n3,
1857 const SMDS_MeshNode* n4,
1861 SMESHDS_Mesh * meshDS = GetMeshDS();
1862 SMDS_MeshVolume* elem = 0;
1863 if(!myCreateQuadratic) {
1865 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
1867 elem = meshDS->AddVolume(n1, n2, n3, n4);
1870 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1871 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1872 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1874 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1875 const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,force3d);
1876 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1879 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
1881 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
1883 if ( mySetElemOnShape && myShapeID > 0 )
1884 meshDS->SetMeshElementOnShape( elem, myShapeID );
1889 //=======================================================================
1890 //function : AddVolume
1891 //purpose : Creates quadratic or linear pyramid
1892 //=======================================================================
1894 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1895 const SMDS_MeshNode* n2,
1896 const SMDS_MeshNode* n3,
1897 const SMDS_MeshNode* n4,
1898 const SMDS_MeshNode* n5,
1902 SMDS_MeshVolume* elem = 0;
1903 if(!myCreateQuadratic) {
1905 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
1907 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
1910 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1911 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1912 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1913 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1915 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1916 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1917 const SMDS_MeshNode* n35 = GetMediumNode(n3,n5,force3d);
1918 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1921 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
1926 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
1928 n15, n25, n35, n45);
1930 if ( mySetElemOnShape && myShapeID > 0 )
1931 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
1936 //=======================================================================
1937 //function : AddVolume
1938 //purpose : Creates bi-quadratic, quadratic or linear hexahedron
1939 //=======================================================================
1941 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1942 const SMDS_MeshNode* n2,
1943 const SMDS_MeshNode* n3,
1944 const SMDS_MeshNode* n4,
1945 const SMDS_MeshNode* n5,
1946 const SMDS_MeshNode* n6,
1947 const SMDS_MeshNode* n7,
1948 const SMDS_MeshNode* n8,
1952 SMESHDS_Mesh * meshDS = GetMeshDS();
1953 SMDS_MeshVolume* elem = 0;
1954 if(!myCreateQuadratic) {
1956 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
1958 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
1961 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1962 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1963 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1964 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1966 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1967 const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,force3d);
1968 const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,force3d);
1969 const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,force3d);
1971 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1972 const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,force3d);
1973 const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,force3d);
1974 const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,force3d);
1975 if(myCreateBiQuadratic)
1977 const SMDS_MeshNode* n1234 = GetCentralNode(n1,n2,n3,n4,n12,n23,n34,n41,force3d);
1978 const SMDS_MeshNode* n1256 = GetCentralNode(n1,n2,n5,n6,n12,n26,n56,n15,force3d);
1979 const SMDS_MeshNode* n2367 = GetCentralNode(n2,n3,n6,n7,n23,n37,n67,n26,force3d);
1980 const SMDS_MeshNode* n3478 = GetCentralNode(n3,n4,n7,n8,n34,n48,n78,n37,force3d);
1981 const SMDS_MeshNode* n1458 = GetCentralNode(n1,n4,n5,n8,n41,n48,n15,n85,force3d);
1982 const SMDS_MeshNode* n5678 = GetCentralNode(n5,n6,n7,n8,n56,n67,n78,n85,force3d);
1984 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
1986 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
1987 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
1988 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
1989 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
1990 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
1991 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
1992 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
1993 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
1995 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
1996 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
1997 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
1998 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
1999 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2000 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2001 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2002 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2003 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2004 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2005 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2006 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2008 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2009 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2010 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2011 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2012 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2013 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2015 gp_XYZ centerCube(0.5, 0.5, 0.5);
2017 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2018 const SMDS_MeshNode* nCenter =
2019 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2020 meshDS->SetNodeInVolume( nCenter, myShapeID );
2023 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2024 n12, n23, n34, n41, n56, n67,
2025 n78, n85, n15, n26, n37, n48,
2026 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2028 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2029 n12, n23, n34, n41, n56, n67,
2030 n78, n85, n15, n26, n37, n48,
2031 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2036 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2037 n12, n23, n34, n41, n56, n67,
2038 n78, n85, n15, n26, n37, n48, id);
2040 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2041 n12, n23, n34, n41, n56, n67,
2042 n78, n85, n15, n26, n37, n48);
2045 if ( mySetElemOnShape && myShapeID > 0 )
2046 meshDS->SetMeshElementOnShape( elem, myShapeID );
2051 //=======================================================================
2052 //function : AddVolume
2053 //purpose : Creates LINEAR!!!!!!!!! octahedron
2054 //=======================================================================
2056 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2057 const SMDS_MeshNode* n2,
2058 const SMDS_MeshNode* n3,
2059 const SMDS_MeshNode* n4,
2060 const SMDS_MeshNode* n5,
2061 const SMDS_MeshNode* n6,
2062 const SMDS_MeshNode* n7,
2063 const SMDS_MeshNode* n8,
2064 const SMDS_MeshNode* n9,
2065 const SMDS_MeshNode* n10,
2066 const SMDS_MeshNode* n11,
2067 const SMDS_MeshNode* n12,
2071 SMESHDS_Mesh * meshDS = GetMeshDS();
2072 SMDS_MeshVolume* elem = 0;
2074 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2076 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2077 if ( mySetElemOnShape && myShapeID > 0 )
2078 meshDS->SetMeshElementOnShape( elem, myShapeID );
2082 //=======================================================================
2083 //function : AddPolyhedralVolume
2084 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2085 //=======================================================================
2088 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2089 const std::vector<int>& quantities,
2093 SMESHDS_Mesh * meshDS = GetMeshDS();
2094 SMDS_MeshVolume* elem = 0;
2095 if(!myCreateQuadratic)
2098 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2100 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2104 vector<const SMDS_MeshNode*> newNodes;
2105 vector<int> newQuantities;
2106 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2108 int nbNodesInFace = quantities[iFace];
2109 newQuantities.push_back(0);
2110 for ( int i = 0; i < nbNodesInFace; ++i )
2112 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2113 newNodes.push_back( n1 );
2114 newQuantities.back()++;
2116 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2117 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2118 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2120 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2121 newNodes.push_back( n12 );
2122 newQuantities.back()++;
2125 iN += nbNodesInFace;
2128 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2130 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2132 if ( mySetElemOnShape && myShapeID > 0 )
2133 meshDS->SetMeshElementOnShape( elem, myShapeID );
2140 //================================================================================
2142 * \brief Check if a node belongs to any face of sub-mesh
2144 //================================================================================
2146 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2148 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2149 while ( fIt->more() )
2150 if ( sm->Contains( fIt->next() ))
2156 //=======================================================================
2157 //function : IsSameElemGeometry
2158 //purpose : Returns true if all elements of a sub-mesh are of same shape
2159 //=======================================================================
2161 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2162 SMDSAbs_GeometryType shape,
2163 const bool nullSubMeshRes)
2165 if ( !smDS ) return nullSubMeshRes;
2167 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2168 while ( elemIt->more() ) {
2169 const SMDS_MeshElement* e = elemIt->next();
2170 if ( e->GetGeomType() != shape )
2176 //=======================================================================
2177 //function : LoadNodeColumns
2178 //purpose : Load nodes bound to face into a map of node columns
2179 //=======================================================================
2181 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2182 const TopoDS_Face& theFace,
2183 const TopoDS_Edge& theBaseEdge,
2184 SMESHDS_Mesh* theMesh,
2185 SMESH_ProxyMesh* theProxyMesh)
2187 return LoadNodeColumns(theParam2ColumnMap,
2189 std::list<TopoDS_Edge>(1,theBaseEdge),
2194 //=======================================================================
2195 //function : LoadNodeColumns
2196 //purpose : Load nodes bound to face into a map of node columns
2197 //=======================================================================
2199 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2200 const TopoDS_Face& theFace,
2201 const std::list<TopoDS_Edge>& theBaseSide,
2202 SMESHDS_Mesh* theMesh,
2203 SMESH_ProxyMesh* theProxyMesh)
2205 // get a right sub-mesh of theFace
2207 const SMESHDS_SubMesh* faceSubMesh = 0;
2210 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2211 if ( !faceSubMesh ||
2212 faceSubMesh->NbElements() == 0 ||
2213 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2215 // can use a proxy sub-mesh with not temporary elements only
2221 faceSubMesh = theMesh->MeshElements( theFace );
2222 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2225 if ( theParam2ColumnMap.empty() )
2227 // get data of edges for normalization of params
2228 vector< double > length;
2230 list<TopoDS_Edge>::const_iterator edge;
2232 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2234 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2236 length.push_back( len );
2240 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2241 edge = theBaseSide.begin();
2242 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2244 map< double, const SMDS_MeshNode*> sortedBaseNN;
2245 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN);
2246 if ( sortedBaseNN.empty() ) continue;
2248 map< double, const SMDS_MeshNode*>::iterator u_n = sortedBaseNN.begin();
2249 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2251 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2252 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2253 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2254 n2 != theProxyMesh->GetProxyNode( n2 ));
2255 if ( allNodesAreProxy )
2256 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2257 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2259 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2261 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2262 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2264 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2266 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2267 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2269 if ( sortedBaseNN.empty() ) continue;
2273 BRep_Tool::Range( *edge, f, l );
2274 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2275 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2276 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2277 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2279 double par = prevPar + coeff * ( u_n->first - f );
2280 TParam2ColumnMap::iterator u2nn =
2281 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2282 u2nn->second.push_back( u_n->second );
2285 if ( theParam2ColumnMap.empty() )
2290 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2291 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2293 // fill theParam2ColumnMap column by column by passing from nodes on
2294 // theBaseEdge up via mesh faces on theFace
2296 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2297 par_nVec_2 = theParam2ColumnMap.begin();
2298 par_nVec_1 = par_nVec_2++;
2299 TIDSortedElemSet emptySet, avoidSet;
2300 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2302 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2303 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2304 nCol1.resize( prevNbRows + expectedNbRows );
2305 nCol2.resize( prevNbRows + expectedNbRows );
2307 int i1, i2, foundNbRows = 0;
2308 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2309 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2310 // find face sharing node n1 and n2 and belonging to faceSubMesh
2311 while ( const SMDS_MeshElement* face =
2312 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2314 if ( faceSubMesh->Contains( face ))
2316 int nbNodes = face->NbCornerNodes();
2319 if ( foundNbRows + 1 > expectedNbRows )
2321 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2322 n2 = face->GetNode( (i1+2) % 4 );
2323 nCol1[ prevNbRows + foundNbRows] = n1;
2324 nCol2[ prevNbRows + foundNbRows] = n2;
2327 avoidSet.insert( face );
2329 if ( foundNbRows != expectedNbRows )
2333 return ( theParam2ColumnMap.size() > 1 &&
2334 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2339 //================================================================================
2341 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2343 //================================================================================
2345 bool isCornerOfStructure( const SMDS_MeshNode* n,
2346 const SMESHDS_SubMesh* faceSM,
2347 SMESH_MesherHelper& faceAnalyser )
2349 int nbFacesInSM = 0;
2351 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2352 while ( fIt->more() )
2353 nbFacesInSM += faceSM->Contains( fIt->next() );
2355 if ( nbFacesInSM == 1 )
2358 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2360 return faceAnalyser.IsRealSeam( n->getshapeId() );
2366 //=======================================================================
2367 //function : IsStructured
2368 //purpose : Return true if 2D mesh on FACE is structured
2369 //=======================================================================
2371 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2373 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2374 if ( !fSM || fSM->NbElements() == 0 )
2377 list< TopoDS_Edge > edges;
2378 list< int > nbEdgesInWires;
2379 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2380 edges, nbEdgesInWires );
2381 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2384 // algo: find corners of a structure and then analyze nb of faces and
2385 // length of structure sides
2387 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2388 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2389 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2391 // rotate edges to get the first node being at corner
2392 // (in principle it's not necessary but so far none SALOME algo can make
2393 // such a structured mesh that all corner nodes are not on VERTEXes)
2394 bool isCorner = false;
2395 int nbRemainEdges = nbEdgesInWires.front();
2397 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2398 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2401 edges.splice( edges.end(), edges, edges.begin() );
2405 while ( !isCorner && nbRemainEdges > 0 );
2410 // get all nodes from EDGEs
2411 list< const SMDS_MeshNode* > nodes;
2412 list< TopoDS_Edge >::iterator edge = edges.begin();
2413 for ( ; edge != edges.end(); ++edge )
2415 map< double, const SMDS_MeshNode* > u2Nodes;
2416 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2417 /*skipMedium=*/true, u2Nodes ))
2420 list< const SMDS_MeshNode* > edgeNodes;
2421 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2422 for ( ; u2n != u2Nodes.end(); ++u2n )
2423 edgeNodes.push_back( u2n->second );
2424 if ( edge->Orientation() == TopAbs_REVERSED )
2425 edgeNodes.reverse();
2427 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2428 edgeNodes.pop_front();
2429 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2432 // get length of structured sides
2433 vector<int> nbEdgesInSide;
2435 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2436 for ( ; n != nodes.end(); ++n )
2439 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2440 nbEdgesInSide.push_back( nbEdges );
2446 if ( nbEdgesInSide.size() != 4 )
2448 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2450 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2452 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2458 //================================================================================
2460 * \brief Find out elements orientation on a geometrical face
2461 * \param theFace - The face correctly oriented in the shape being meshed
2462 * \retval bool - true if the face normal and the normal of first element
2463 * in the correspoding submesh point in different directions
2465 //================================================================================
2467 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2469 if ( theFace.IsNull() )
2472 // find out orientation of a meshed face
2473 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2474 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2475 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2477 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2478 if ( !aSubMeshDSFace )
2481 // find an element with a good normal
2483 bool normalOK = false;
2485 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2486 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2488 const SMDS_MeshElement* elem = iteratorElem->next();
2489 if ( elem && elem->NbCornerNodes() > 2 )
2491 SMESH_TNodeXYZ nPnt[3];
2492 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2493 int iNodeOnFace = 0, iPosDim = SMDS_TOP_VERTEX;
2494 for ( int iN = 0; nodesIt->more() && iN < 3; ++iN) // loop on nodes
2496 nPnt[ iN ] = nodesIt->next();
2497 if ( nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition() > iPosDim )
2500 iPosDim = nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition();
2504 gp_Vec v01( nPnt[0], nPnt[1] ), v02( nPnt[0], nPnt[2] );
2505 if ( v01.SquareMagnitude() > RealSmall() &&
2506 v02.SquareMagnitude() > RealSmall() )
2509 if (( normalOK = ( Ne.SquareMagnitude() > RealSmall() )))
2510 uv = GetNodeUV( theFace, nPnt[iNodeOnFace]._node, 0, &normalOK );
2517 // face normal at node position
2518 TopLoc_Location loc;
2519 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2520 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2521 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2522 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2525 MESSAGE("surf->Continuity() < GeomAbs_C1 " << (surf->Continuity() < GeomAbs_C1));
2528 gp_Vec d1u, d1v; gp_Pnt p;
2529 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2530 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2532 if ( theFace.Orientation() == TopAbs_REVERSED )
2535 return Ne * Nf < 0.;
2538 //=======================================================================
2540 //purpose : Count nb of sub-shapes
2541 //=======================================================================
2543 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2544 const TopAbs_ShapeEnum type,
2545 const bool ignoreSame)
2548 TopTools_IndexedMapOfShape map;
2549 TopExp::MapShapes( shape, type, map );
2550 return map.Extent();
2554 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2560 //=======================================================================
2561 //function : NbAncestors
2562 //purpose : Return number of unique ancestors of the shape
2563 //=======================================================================
2565 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2566 const SMESH_Mesh& mesh,
2567 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2569 TopTools_MapOfShape ancestors;
2570 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2571 for ( ; ansIt.More(); ansIt.Next() ) {
2572 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2573 ancestors.Add( ansIt.Value() );
2575 return ancestors.Extent();
2578 //=======================================================================
2579 //function : GetSubShapeOri
2580 //purpose : Return orientation of sub-shape in the main shape
2581 //=======================================================================
2583 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2584 const TopoDS_Shape& subShape)
2586 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2587 if ( !shape.IsNull() && !subShape.IsNull() )
2589 TopExp_Explorer e( shape, subShape.ShapeType() );
2590 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2591 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2592 for ( ; e.More(); e.Next())
2593 if ( subShape.IsSame( e.Current() ))
2596 ori = e.Current().Orientation();
2601 //=======================================================================
2602 //function : IsSubShape
2604 //=======================================================================
2606 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2607 const TopoDS_Shape& mainShape )
2609 if ( !shape.IsNull() && !mainShape.IsNull() )
2611 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2614 if ( shape.IsSame( exp.Current() ))
2617 SCRUTE((shape.IsNull()));
2618 SCRUTE((mainShape.IsNull()));
2622 //=======================================================================
2623 //function : IsSubShape
2625 //=======================================================================
2627 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2629 if ( shape.IsNull() || !aMesh )
2632 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
2634 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
2637 //================================================================================
2639 * \brief Return maximal tolerance of shape
2641 //================================================================================
2643 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
2645 double tol = Precision::Confusion();
2646 TopExp_Explorer exp;
2647 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
2648 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
2649 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
2650 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
2651 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
2652 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
2657 //================================================================================
2659 * \brief Check if the first and last vertices of an edge are the same
2660 * \param anEdge - the edge to check
2661 * \retval bool - true if same
2663 //================================================================================
2665 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
2667 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2668 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
2669 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
2672 //================================================================================
2674 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
2675 * in the case of INTERNAL edge
2677 //================================================================================
2679 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
2683 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2684 anEdge.Orientation( TopAbs_FORWARD );
2686 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
2687 TopoDS_Iterator vIt( anEdge, CumOri );
2688 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
2691 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
2694 //================================================================================
2696 * \brief Return type of shape contained in a group
2697 * \param group - a shape of type TopAbs_COMPOUND
2698 * \param avoidCompound - not to return TopAbs_COMPOUND
2700 //================================================================================
2702 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
2703 const bool avoidCompound)
2705 if ( !group.IsNull() )
2707 if ( group.ShapeType() != TopAbs_COMPOUND )
2708 return group.ShapeType();
2710 // iterate on a compound
2711 TopoDS_Iterator it( group );
2713 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
2715 return TopAbs_SHAPE;
2718 //=======================================================================
2719 //function : IsQuadraticMesh
2720 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
2721 // quadratic elements will be created.
2722 // Used then generated 3D mesh without geometry.
2723 //=======================================================================
2725 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
2727 int NbAllEdgsAndFaces=0;
2728 int NbQuadFacesAndEdgs=0;
2729 int NbFacesAndEdges=0;
2730 //All faces and edges
2731 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
2732 if ( NbAllEdgsAndFaces == 0 )
2733 return SMESH_MesherHelper::LINEAR;
2735 //Quadratic faces and edges
2736 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
2738 //Linear faces and edges
2739 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
2741 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
2743 return SMESH_MesherHelper::QUADRATIC;
2745 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
2747 return SMESH_MesherHelper::LINEAR;
2750 //Mesh with both type of elements
2751 return SMESH_MesherHelper::COMP;
2754 //=======================================================================
2755 //function : GetOtherParam
2756 //purpose : Return an alternative parameter for a node on seam
2757 //=======================================================================
2759 double SMESH_MesherHelper::GetOtherParam(const double param) const
2761 int i = myParIndex & U_periodic ? 0 : 1;
2762 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
2767 //=======================================================================
2769 * \brief Iterator on ancestors of the given type
2771 //=======================================================================
2773 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
2775 TopTools_ListIteratorOfListOfShape _ancIter;
2776 TopAbs_ShapeEnum _type;
2777 TopTools_MapOfShape _encountered;
2778 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
2779 : _ancIter( ancestors ), _type( type )
2781 if ( _ancIter.More() ) {
2782 if ( _ancIter.Value().ShapeType() != _type ) next();
2783 else _encountered.Add( _ancIter.Value() );
2788 return _ancIter.More();
2790 virtual const TopoDS_Shape* next()
2792 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
2793 if ( _ancIter.More() )
2794 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
2795 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
2803 //=======================================================================
2805 * \brief Return iterator on ancestors of the given type
2807 //=======================================================================
2809 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
2810 const SMESH_Mesh& mesh,
2811 TopAbs_ShapeEnum ancestorType)
2813 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
2816 //=======================================================================
2817 //function : GetCommonAncestor
2818 //purpose : Find a common ancestors of two shapes of the given type
2819 //=======================================================================
2821 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
2822 const TopoDS_Shape& shape2,
2823 const SMESH_Mesh& mesh,
2824 TopAbs_ShapeEnum ancestorType)
2826 TopoDS_Shape commonAnc;
2827 if ( !shape1.IsNull() && !shape2.IsNull() )
2829 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
2830 while ( const TopoDS_Shape* anc = ancIt->next() )
2831 if ( IsSubShape( shape2, *anc ))
2840 //#include <Perf_Meter.hxx>
2842 //=======================================================================
2843 namespace { // Structures used by FixQuadraticElements()
2844 //=======================================================================
2846 #define __DMP__(txt) \
2848 #define MSG(txt) __DMP__(txt<<endl)
2849 #define MSGBEG(txt) __DMP__(txt)
2851 //const double straightTol2 = 1e-33; // to detect straing links
2852 bool isStraightLink(double linkLen2, double middleNodeMove2)
2854 // straight if <node move> < 1/15 * <link length>
2855 return middleNodeMove2 < 1/15./15. * linkLen2;
2859 // ---------------------------------------
2861 * \brief Quadratic link knowing its faces
2863 struct QLink: public SMESH_TLink
2865 const SMDS_MeshNode* _mediumNode;
2866 mutable vector<const QFace* > _faces;
2867 mutable gp_Vec _nodeMove;
2868 mutable int _nbMoves;
2870 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
2871 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
2873 //if ( MediumPos() != SMDS_TOP_3DSPACE )
2874 _nodeMove = MediumPnt() - MiddlePnt();
2876 void SetContinuesFaces() const;
2877 const QFace* GetContinuesFace( const QFace* face ) const;
2878 bool OnBoundary() const;
2879 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
2880 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
2882 SMDS_TypeOfPosition MediumPos() const
2883 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
2884 SMDS_TypeOfPosition EndPos(bool isSecond) const
2885 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
2886 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
2887 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
2889 void Move(const gp_Vec& move, bool sum=false) const
2890 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; }
2891 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
2892 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
2893 bool IsStraight() const
2894 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
2895 _nodeMove.SquareMagnitude());
2897 bool operator<(const QLink& other) const {
2898 return (node1()->GetID() == other.node1()->GetID() ?
2899 node2()->GetID() < other.node2()->GetID() :
2900 node1()->GetID() < other.node1()->GetID());
2902 // struct PtrComparator {
2903 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
2906 // ---------------------------------------------------------
2908 * \brief Link in the chain of links; it connects two faces
2912 const QLink* _qlink;
2913 mutable const QFace* _qfaces[2];
2915 TChainLink(const QLink* qlink=0):_qlink(qlink) {
2916 _qfaces[0] = _qfaces[1] = 0;
2918 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
2920 bool IsBoundary() const { return !_qfaces[1]; }
2922 void RemoveFace( const QFace* face ) const
2923 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
2925 const QFace* NextFace( const QFace* f ) const
2926 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
2928 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
2929 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
2931 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
2933 operator bool() const { return (_qlink); }
2935 const QLink* operator->() const { return _qlink; }
2937 gp_Vec Normal() const;
2939 bool IsStraight() const;
2941 // --------------------------------------------------------------------
2942 typedef list< TChainLink > TChain;
2943 typedef set < TChainLink > TLinkSet;
2944 typedef TLinkSet::const_iterator TLinkInSet;
2946 const int theFirstStep = 5;
2948 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
2949 // --------------------------------------------------------------------
2951 * \brief Quadratic face shared by two volumes and bound by QLinks
2953 struct QFace: public TIDSortedNodeSet
2955 mutable const SMDS_MeshElement* _volumes[2];
2956 mutable vector< const QLink* > _sides;
2957 mutable bool _sideIsAdded[4]; // added in chain of links
2960 mutable const SMDS_MeshElement* _face;
2963 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
2965 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
2967 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
2969 void AddSelfToLinks() const {
2970 for ( int i = 0; i < _sides.size(); ++i )
2971 _sides[i]->_faces.push_back( this );
2973 int LinkIndex( const QLink* side ) const {
2974 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
2977 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
2979 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
2981 int i = LinkIndex( link._qlink );
2982 if ( i < 0 ) return true;
2983 _sideIsAdded[i] = true;
2984 link.SetFace( this );
2985 // continue from opposite link
2986 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
2988 bool IsBoundary() const { return !_volumes[1]; }
2990 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
2992 bool IsSpoiled(const QLink* bentLink ) const;
2994 TLinkInSet GetBoundaryLink( const TLinkSet& links,
2995 const TChainLink& avoidLink,
2996 TLinkInSet * notBoundaryLink = 0,
2997 const SMDS_MeshNode* nodeToContain = 0,
2998 bool * isAdjacentUsed = 0,
2999 int nbRecursionsLeft = -1) const;
3001 TLinkInSet GetLinkByNode( const TLinkSet& links,
3002 const TChainLink& avoidLink,
3003 const SMDS_MeshNode* nodeToContain) const;
3005 const SMDS_MeshNode* GetNodeInFace() const {
3006 for ( int iL = 0; iL < _sides.size(); ++iL )
3007 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3011 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3013 double MoveByBoundary( const TChainLink& theLink,
3014 const gp_Vec& theRefVec,
3015 const TLinkSet& theLinks,
3016 SMESH_MesherHelper* theFaceHelper=0,
3017 const double thePrevLen=0,
3018 const int theStep=theFirstStep,
3019 gp_Vec* theLinkNorm=0,
3020 double theSign=1.0) const;
3023 //================================================================================
3025 * \brief Dump QLink and QFace
3027 ostream& operator << (ostream& out, const QLink& l)
3029 out <<"QLink nodes: "
3030 << l.node1()->GetID() << " - "
3031 << l._mediumNode->GetID() << " - "
3032 << l.node2()->GetID() << endl;
3035 ostream& operator << (ostream& out, const QFace& f)
3037 out <<"QFace nodes: "/*<< &f << " "*/;
3038 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3039 out << (*n)->GetID() << " ";
3040 out << " \tvolumes: "
3041 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3042 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3043 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3047 //================================================================================
3049 * \brief Construct QFace from QLinks
3051 //================================================================================
3053 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3055 _volumes[0] = _volumes[1] = 0;
3057 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3058 _normal.SetCoord(0,0,0);
3059 for ( int i = 1; i < _sides.size(); ++i ) {
3060 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3061 insert( l1->node1() ); insert( l1->node2() );
3063 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3064 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3065 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3069 double normSqSize = _normal.SquareMagnitude();
3070 if ( normSqSize > numeric_limits<double>::min() )
3071 _normal /= sqrt( normSqSize );
3073 _normal.SetCoord(1e-33,0,0);
3079 //================================================================================
3081 * \brief Make up a chain of links
3082 * \param iSide - link to add first
3083 * \param chain - chain to fill in
3084 * \param pos - postion of medium nodes the links should have
3085 * \param error - out, specifies what is wrong
3086 * \retval bool - false if valid chain can't be built; "valid" means that links
3087 * of the chain belongs to rectangles bounding hexahedrons
3089 //================================================================================
3091 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3093 if ( iSide >= _sides.size() ) // wrong argument iSide
3095 if ( _sideIsAdded[ iSide ]) // already in chain
3098 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3101 list< const QFace* > faces( 1, this );
3102 while ( !faces.empty() ) {
3103 const QFace* face = faces.front();
3104 for ( int i = 0; i < face->_sides.size(); ++i ) {
3105 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3106 face->_sideIsAdded[i] = true;
3107 // find a face side in the chain
3108 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3109 // TChain::iterator chLink = chain.begin();
3110 // for ( ; chLink != chain.end(); ++chLink )
3111 // if ( chLink->_qlink == face->_sides[i] )
3113 // if ( chLink == chain.end() )
3114 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3115 // add a face to a chained link and put a continues face in the queue
3116 chLink->SetFace( face );
3117 if ( face->_sides[i]->MediumPos() == pos )
3118 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3119 if ( contFace->_sides.size() == 3 )
3120 faces.push_back( contFace );
3125 if ( error < ERR_TRI )
3127 chain.insert( chain.end(), links.begin(),links.end() );
3130 _sideIsAdded[iSide] = true; // not to add this link to chain again
3131 const QLink* link = _sides[iSide];
3135 // add link into chain
3136 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3137 chLink->SetFace( this );
3140 // propagate from a quadrangle to neighbour faces
3141 if ( link->MediumPos() >= pos ) {
3142 int nbLinkFaces = link->_faces.size();
3143 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3144 // hexahedral mesh or boundary quadrangles - goto a continous face
3145 if ( const QFace* f = link->GetContinuesFace( this ))
3146 if ( f->_sides.size() == 4 )
3147 return f->GetLinkChain( *chLink, chain, pos, error );
3150 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3151 for ( int i = 0; i < nbLinkFaces; ++i )
3152 if ( link->_faces[i] )
3153 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3154 if ( error < ERR_PRISM )
3162 //================================================================================
3164 * \brief Return a boundary link of the triangle face
3165 * \param links - set of all links
3166 * \param avoidLink - link not to return
3167 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3168 * \param nodeToContain - node the returned link must contain; if provided, search
3169 * also performed on adjacent faces
3170 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3171 * \param nbRecursionsLeft - to limit recursion
3173 //================================================================================
3175 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3176 const TChainLink& avoidLink,
3177 TLinkInSet * notBoundaryLink,
3178 const SMDS_MeshNode* nodeToContain,
3179 bool * isAdjacentUsed,
3180 int nbRecursionsLeft) const
3182 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3184 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3185 TFaceLinkList adjacentFaces;
3187 for ( int iL = 0; iL < _sides.size(); ++iL )
3189 if ( avoidLink._qlink == _sides[iL] )
3191 TLinkInSet link = links.find( _sides[iL] );
3192 if ( link == linksEnd ) continue;
3193 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3194 continue; // We work on faces here, don't go inside a solid
3197 if ( link->IsBoundary() ) {
3198 if ( !nodeToContain ||
3199 (*link)->node1() == nodeToContain ||
3200 (*link)->node2() == nodeToContain )
3202 boundaryLink = link;
3203 if ( !notBoundaryLink ) break;
3206 else if ( notBoundaryLink ) {
3207 *notBoundaryLink = link;
3208 if ( boundaryLink != linksEnd ) break;
3211 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3212 if ( const QFace* adj = link->NextFace( this ))
3213 if ( adj->Contains( nodeToContain ))
3214 adjacentFaces.push_back( make_pair( adj, link ));
3217 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3218 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3220 if ( nbRecursionsLeft < 0 )
3221 nbRecursionsLeft = nodeToContain->NbInverseElements();
3222 TFaceLinkList::iterator adj = adjacentFaces.begin();
3223 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3224 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3225 isAdjacentUsed, nbRecursionsLeft-1);
3226 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3228 return boundaryLink;
3230 //================================================================================
3232 * \brief Return a link ending at the given node but not avoidLink
3234 //================================================================================
3236 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3237 const TChainLink& avoidLink,
3238 const SMDS_MeshNode* nodeToContain) const
3240 for ( int i = 0; i < _sides.size(); ++i )
3241 if ( avoidLink._qlink != _sides[i] &&
3242 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3243 return links.find( _sides[ i ]);
3247 //================================================================================
3249 * \brief Return normal to the i-th side pointing outside the face
3251 //================================================================================
3253 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3255 gp_Vec norm, vecOut;
3256 // if ( uvHelper ) {
3257 // TopoDS_Face face = TopoDS::Face( uvHelper->GetSubShape());
3258 // const SMDS_MeshNode* inFaceNode = uvHelper->GetNodeUVneedInFaceNode() ? GetNodeInFace() : 0;
3259 // gp_XY uv1 = uvHelper->GetNodeUV( face, _sides[i]->node1(), inFaceNode );
3260 // gp_XY uv2 = uvHelper->GetNodeUV( face, _sides[i]->node2(), inFaceNode );
3261 // norm.SetCoord( uv1.Y() - uv2.Y(), uv2.X() - uv1.X(), 0 );
3263 // const QLink* otherLink = _sides[(i + 1) % _sides.size()];
3264 // const SMDS_MeshNode* otherNode =
3265 // otherLink->node1() == _sides[i]->node1() ? otherLink->node2() : otherLink->node1();
3266 // gp_XY pIn = uvHelper->GetNodeUV( face, otherNode, inFaceNode );
3267 // vecOut.SetCoord( uv1.X() - pIn.X(), uv1.Y() - pIn.Y(), 0 );
3270 norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3271 gp_XYZ pIn = ( XYZ( _sides[0]->node1() ) +
3272 XYZ( _sides[0]->node2() ) +
3273 XYZ( _sides[1]->node1() )) / 3.;
3274 vecOut.SetXYZ( _sides[i]->MiddlePnt() - pIn );
3276 if ( norm * vecOut < 0 )
3278 double mag2 = norm.SquareMagnitude();
3279 if ( mag2 > numeric_limits<double>::min() )
3280 norm /= sqrt( mag2 );
3283 //================================================================================
3285 * \brief Move medium node of theLink according to its distance from boundary
3286 * \param theLink - link to fix
3287 * \param theRefVec - movement of boundary
3288 * \param theLinks - all adjacent links of continous triangles
3289 * \param theFaceHelper - helper is not used so far
3290 * \param thePrevLen - distance from the boundary
3291 * \param theStep - number of steps till movement propagation limit
3292 * \param theLinkNorm - out normal to theLink
3293 * \param theSign - 1 or -1 depending on movement of boundary
3294 * \retval double - distance from boundary to propagation limit or other boundary
3296 //================================================================================
3298 double QFace::MoveByBoundary( const TChainLink& theLink,
3299 const gp_Vec& theRefVec,
3300 const TLinkSet& theLinks,
3301 SMESH_MesherHelper* theFaceHelper,
3302 const double thePrevLen,
3304 gp_Vec* theLinkNorm,
3305 double theSign) const
3308 return thePrevLen; // propagation limit reached
3310 int iL; // index of theLink
3311 for ( iL = 0; iL < _sides.size(); ++iL )
3312 if ( theLink._qlink == _sides[ iL ])
3315 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3316 <<" thePrevLen " << thePrevLen);
3317 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3319 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3320 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3321 if ( theStep == theFirstStep )
3322 theSign = refProj < 0. ? -1. : 1.;
3323 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3324 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3326 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3327 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3328 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3329 if ( link1 == theLinks.end() || link2 == theLinks.end() )
3331 const QFace* f1 = link1->NextFace( this ); // adjacent faces
3332 const QFace* f2 = link2->NextFace( this );
3334 // propagate to adjacent faces till limit step or boundary
3335 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3336 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3337 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3338 gp_Vec linkDir2(0,0,0);
3341 if ( f1 && theLink->MediumPos() <= (*link1)->MediumPos() )
3342 len1 = f1->MoveByBoundary
3343 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3345 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3347 MSG( " --------------- EXCEPTION");
3352 if ( f2 && theLink->MediumPos() <= (*link2)->MediumPos() )
3353 len2 = f2->MoveByBoundary
3354 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3356 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3358 MSG( " --------------- EXCEPTION");
3363 if ( theStep != theFirstStep )
3365 // choose chain length by direction of propagation most codirected with theRefVec
3366 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3367 fullLen = choose1 ? len1 : len2;
3368 double r = thePrevLen / fullLen;
3370 gp_Vec move = linkNorm * refProj * ( 1 - r );
3371 theLink->Move( move, true );
3373 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3374 " by " << refProj * ( 1 - r ) << " following " <<
3375 (choose1 ? *link1->_qlink : *link2->_qlink));
3377 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3382 //================================================================================
3384 * \brief Checks if the face is distorted due to bentLink
3386 //================================================================================
3388 bool QFace::IsSpoiled(const QLink* bentLink ) const
3390 // code is valid for convex faces only
3392 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3393 gc += XYZ( *n ) / size();
3394 for (unsigned i = 0; i < _sides.size(); ++i )
3396 if ( _sides[i] == bentLink ) continue;
3397 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3398 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3399 if ( linkNorm * vecOut < 0 )
3401 double mag2 = linkNorm.SquareMagnitude();
3402 if ( mag2 > numeric_limits<double>::min() )
3403 linkNorm /= sqrt( mag2 );
3404 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3405 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3406 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3413 //================================================================================
3415 * \brief Find pairs of continues faces
3417 //================================================================================
3419 void QLink::SetContinuesFaces() const
3421 // x0 x - QLink, [-|] - QFace, v - volume
3423 // | Between _faces of link x2 two vertical faces are continues
3424 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3425 // | to _faces[0] and _faces[1] and horizontal faces to
3426 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3429 if ( _faces.empty() )
3431 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3432 if ( _faces[0]->IsBoundary() )
3433 iBoundary[ nbBoundary++ ] = 0;
3434 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3436 // look for a face bounding none of volumes bound by _faces[0]
3437 bool sameVol = false;
3438 int nbVol = _faces[iF]->NbVolumes();
3439 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3440 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3441 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3444 if ( _faces[iF]->IsBoundary() )
3445 iBoundary[ nbBoundary++ ] = iF;
3447 // Set continues faces: arrange _faces to have
3448 // _faces[0] continues to _faces[1]
3449 // _faces[2] continues to _faces[3]
3450 if ( nbBoundary == 2 ) // bnd faces are continues
3452 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3454 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3455 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3458 else if ( iFaceCont > 0 ) // continues faces found
3460 if ( iFaceCont != 1 )
3461 std::swap( _faces[1], _faces[iFaceCont] );
3463 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3465 _faces.insert( ++_faces.begin(), 0 );
3468 //================================================================================
3470 * \brief Return a face continues to the given one
3472 //================================================================================
3474 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3476 for ( int i = 0; i < _faces.size(); ++i ) {
3477 if ( _faces[i] == face ) {
3478 int iF = i < 2 ? 1-i : 5-i;
3479 return iF < _faces.size() ? _faces[iF] : 0;
3484 //================================================================================
3486 * \brief True if link is on mesh boundary
3488 //================================================================================
3490 bool QLink::OnBoundary() const
3492 for ( int i = 0; i < _faces.size(); ++i )
3493 if (_faces[i] && _faces[i]->IsBoundary()) return true;
3496 //================================================================================
3498 * \brief Return normal of link of the chain
3500 //================================================================================
3502 gp_Vec TChainLink::Normal() const {
3504 if (_qfaces[0]) norm = _qfaces[0]->_normal;
3505 if (_qfaces[1]) norm += _qfaces[1]->_normal;
3508 //================================================================================
3510 * \brief Test link curvature taking into account size of faces
3512 //================================================================================
3514 bool TChainLink::IsStraight() const
3516 bool isStraight = _qlink->IsStraight();
3517 if ( isStraight && _qfaces[0] && !_qfaces[1] )
3519 int i = _qfaces[0]->LinkIndex( _qlink );
3520 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
3521 gp_XYZ mid1 = _qlink->MiddlePnt();
3522 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
3523 double faceSize2 = (mid1-mid2).SquareModulus();
3524 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
3529 //================================================================================
3531 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
3533 //================================================================================
3535 void fixPrism( TChain& allLinks )
3537 // separate boundary links from internal ones
3538 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
3539 QLinkSet interLinks, bndLinks1, bndLink2;
3541 bool isCurved = false;
3542 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3543 if ( (*lnk)->OnBoundary() )
3544 bndLinks1.insert( lnk->_qlink );
3546 interLinks.insert( lnk->_qlink );
3547 isCurved = isCurved || !lnk->IsStraight();
3550 return; // no need to move
3552 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
3554 while ( !interLinks.empty() && !curBndLinks->empty() )
3556 // propagate movement from boundary links to connected internal links
3557 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
3558 for ( ; bnd != bndEnd; ++bnd )
3560 const QLink* bndLink = *bnd;
3561 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
3563 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
3564 if ( !face ) continue;
3565 // find and move internal link opposite to bndLink within the face
3566 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
3567 const QLink* interLink = face->_sides[ interInd ];
3568 QLinkSet::iterator pInterLink = interLinks.find( interLink );
3569 if ( pInterLink == interLinks.end() ) continue; // not internal link
3570 interLink->Move( bndLink->_nodeMove );
3571 // treated internal links become new boundary ones
3572 interLinks.erase( pInterLink );
3573 newBndLinks->insert( interLink );
3576 curBndLinks->clear();
3577 std::swap( curBndLinks, newBndLinks );
3581 //================================================================================
3583 * \brief Fix links of continues triangles near curved boundary
3585 //================================================================================
3587 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
3589 if ( allLinks.empty() ) return;
3591 TLinkSet linkSet( allLinks.begin(), allLinks.end());
3592 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
3594 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
3596 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
3598 // move iff a boundary link is bent towards inside of a face (issue 0021084)
3599 const QFace* face = linkIt->_qfaces[0];
3600 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
3601 face->_sides[1]->MiddlePnt() +
3602 face->_sides[2]->MiddlePnt() ) / 3.;
3603 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
3604 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
3605 //if ( face->IsSpoiled( linkIt->_qlink ))
3606 if ( linkBentInside )
3607 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
3612 //================================================================================
3614 * \brief Detect rectangular structure of links and build chains from them
3616 //================================================================================
3618 enum TSplitTriaResult {
3619 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
3620 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
3622 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
3623 vector< TChain> & resultChains,
3624 SMDS_TypeOfPosition pos )
3626 // put links in the set and evalute number of result chains by number of boundary links
3629 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3630 linkSet.insert( *lnk );
3631 nbBndLinks += lnk->IsBoundary();
3633 resultChains.clear();
3634 resultChains.reserve( nbBndLinks / 2 );
3636 TLinkInSet linkIt, linksEnd = linkSet.end();
3638 // find a boundary link with corner node; corner node has position pos-2
3639 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
3641 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
3642 const SMDS_MeshNode* corner = 0;
3643 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
3644 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
3649 TLinkInSet startLink = linkIt;
3650 const SMDS_MeshNode* startCorner = corner;
3651 vector< TChain* > rowChains;
3654 while ( startLink != linksEnd) // loop on columns
3656 // We suppose we have a rectangular structure like shown here. We have found a
3657 // corner of the rectangle (startCorner) and a boundary link sharing
3658 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
3659 // --o---o---o structure making several chains at once. One chain (columnChain)
3660 // |\ | /| starts at startLink and continues upward (we look at the structure
3661 // \ | \ | / | from such point that startLink is on the bottom of the structure).
3662 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
3663 // --o---o---o encounter.
3665 // / | \ | \ | startCorner
3670 if ( resultChains.size() == nbBndLinks / 2 )
3672 resultChains.push_back( TChain() );
3673 TChain& columnChain = resultChains.back();
3675 TLinkInSet botLink = startLink; // current horizontal link to go up from
3676 corner = startCorner; // current corner the botLink ends at
3678 while ( botLink != linksEnd ) // loop on rows
3680 // add botLink to the columnChain
3681 columnChain.push_back( *botLink );
3683 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
3685 { // the column ends
3686 if ( botLink == startLink )
3687 return _TWISTED_CHAIN; // issue 0020951
3688 linkSet.erase( botLink );
3689 if ( iRow != rowChains.size() )
3690 return _FEW_ROWS; // different nb of rows in columns
3693 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
3694 // link ending at <corner> (sideLink); there are two cases:
3695 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
3696 // since midQuadLink is not at boundary while sideLink is.
3697 // 2) midQuadLink ends at <corner>
3699 TLinkInSet midQuadLink = linksEnd;
3700 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
3702 if ( isCase2 ) { // find midQuadLink among links of botTria
3703 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
3704 if ( midQuadLink->IsBoundary() )
3705 return _BAD_MIDQUAD;
3707 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
3708 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
3711 columnChain.push_back( *midQuadLink );
3712 if ( iRow >= rowChains.size() ) {
3714 return _MANY_ROWS; // different nb of rows in columns
3715 if ( resultChains.size() == nbBndLinks / 2 )
3717 resultChains.push_back( TChain() );
3718 rowChains.push_back( & resultChains.back() );
3720 rowChains[iRow]->push_back( *sideLink );
3721 rowChains[iRow]->push_back( *midQuadLink );
3723 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
3727 // prepare startCorner and startLink for the next column
3728 startCorner = startLink->NextNode( startCorner );
3730 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
3732 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
3733 // check if no more columns remains
3734 if ( startLink != linksEnd ) {
3735 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
3736 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
3737 startLink = linksEnd; // startLink bounds upTria or botTria
3738 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
3742 // find bottom link and corner for the next row
3743 corner = sideLink->NextNode( corner );
3744 // next bottom link ends at the new corner
3745 linkSet.erase( botLink );
3746 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
3747 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
3749 if ( midQuadLink == startLink || sideLink == startLink )
3750 return _TWISTED_CHAIN; // issue 0020951
3751 linkSet.erase( midQuadLink );
3752 linkSet.erase( sideLink );
3754 // make faces neighboring the found ones be boundary
3755 if ( startLink != linksEnd ) {
3756 const QFace* tria = isCase2 ? botTria : upTria;
3757 for ( int iL = 0; iL < 3; ++iL ) {
3758 linkIt = linkSet.find( tria->_sides[iL] );
3759 if ( linkIt != linksEnd )
3760 linkIt->RemoveFace( tria );
3763 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
3764 botLink->RemoveFace( upTria ); // make next botTria first in vector
3771 // In the linkSet, there must remain the last links of rowChains; add them
3772 if ( linkSet.size() != rowChains.size() )
3773 return _BAD_SET_SIZE;
3774 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
3775 // find the link (startLink) ending at startCorner
3777 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
3778 if ( (*startLink)->node1() == startCorner ) {
3779 corner = (*startLink)->node2(); break;
3781 else if ( (*startLink)->node2() == startCorner) {
3782 corner = (*startLink)->node1(); break;
3785 if ( startLink == linksEnd )
3787 rowChains[ iRow ]->push_back( *startLink );
3788 linkSet.erase( startLink );
3789 startCorner = corner;
3795 //================================================================================
3797 * \brief Place medium nodes at the link middle for elements whose corner nodes
3798 * are out of geometrical boundary to prevent distorting elements.
3799 * Issue 0020982, note 0013990
3801 //================================================================================
3803 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
3804 SMESH_ComputeErrorPtr& theError)
3806 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
3807 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
3808 if ( shape.IsNull() ) return;
3810 if ( !theError ) theError = SMESH_ComputeError::New();
3814 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
3816 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
3818 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
3819 if ( !faceSM ) return;
3821 const TopoDS_Face& face = TopoDS::Face( shape );
3822 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
3824 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
3825 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
3827 // check if the EDGE needs checking
3828 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
3829 if ( SMESH_Algo::isDegenerated( edge ) )
3831 if ( theHelper.IsRealSeam( edge ) &&
3832 edge.Orientation() == TopAbs_REVERSED )
3835 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
3836 if ( !edgeSM ) continue;
3839 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
3840 BRepAdaptor_Curve curve3D( edge );
3841 switch ( curve3D.GetType() ) {
3842 case GeomAbs_Line: continue;
3843 case GeomAbs_Circle:
3844 case GeomAbs_Ellipse:
3845 case GeomAbs_Hyperbola:
3846 case GeomAbs_Parabola:
3849 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
3850 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
3851 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
3852 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
3853 gp_Vec fNorm = Du1 ^ Dv1;
3854 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
3855 continue; // face is normal to the curve3D
3857 gp_Vec curvNorm = fNorm ^ D1;
3858 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
3859 if ( curvNorm * D2 > 0 )
3860 continue; // convex edge
3862 catch ( Standard_Failure )
3867 // get nodes shared by faces that may be distorted
3868 SMDS_NodeIteratorPtr nodeIt;
3869 if ( edgeSM->NbNodes() > 0 ) {
3870 nodeIt = edgeSM->GetNodes();
3873 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
3875 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
3876 if ( !vertexSM ) continue;
3877 nodeIt = vertexSM->GetNodes();
3880 // find suspicious faces
3881 TIDSortedElemSet checkedFaces;
3882 vector< const SMDS_MeshNode* > nOnEdge( 2 );
3883 const SMDS_MeshNode* nOnFace;
3884 while ( nodeIt->more() )
3886 const SMDS_MeshNode* n = nodeIt->next();
3887 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
3888 while ( faceIt->more() )
3890 const SMDS_MeshElement* f = faceIt->next();
3891 if ( !faceSM->Contains( f ) ||
3892 f->NbNodes() < 6 || // check quadratic triangles only
3893 !checkedFaces.insert( f ).second )
3896 // get nodes on EDGE and on FACE of a suspicious face
3897 nOnEdge.clear(); nOnFace = 0;
3898 SMDS_MeshElement::iterator triNode = f->begin_nodes();
3899 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
3902 if ( n->GetPosition()->GetDim() == 2 )
3905 nOnEdge.push_back( n );
3908 // check if nOnFace is inside the FACE
3909 if ( nOnFace && nOnEdge.size() == 2 )
3911 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
3912 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
3914 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
3915 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
3916 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true );
3917 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
3918 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
3919 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
3920 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
3921 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
3922 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
3924 // nOnFace is out of FACE, move a medium on-edge node to the middle
3925 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
3926 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
3927 MSG( "move OUT of face " << n );
3928 theError->myBadElements.push_back( f );
3934 if ( !theError->myBadElements.empty() )
3935 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
3938 } // 2D ==============================================================================
3940 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
3942 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
3943 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
3945 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
3946 if ( !solidSM ) return;
3948 // check if the SOLID is bound by concave FACEs
3949 vector< TopoDS_Face > concaveFaces;
3950 TopExp_Explorer faceIt( shape, TopAbs_FACE );
3951 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
3953 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
3954 if ( !meshDS->MeshElements( face )) continue;
3956 BRepAdaptor_Surface surface( face );
3957 switch ( surface.GetType() ) {
3958 case GeomAbs_Plane: continue;
3959 case GeomAbs_Cylinder:
3961 case GeomAbs_Sphere:
3964 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
3965 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
3966 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
3967 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
3968 gp_Vec fNorm = Du1 ^ Dv1;
3969 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
3970 bool concaveU = ( fNorm * Du2 > 1e-100 );
3971 bool concaveV = ( fNorm * Dv2 > 1e-100 );
3972 if ( concaveU || concaveV )
3973 concaveFaces.push_back( face );
3975 catch ( Standard_Failure )
3977 concaveFaces.push_back( face );
3981 if ( concaveFaces.empty() )
3984 // fix 2D mesh on the SOLID
3985 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
3987 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
3988 faceHelper.SetSubShape( faceIt.Current() );
3989 force3DOutOfBoundary( faceHelper, theError );
3992 // get an iterator over faces on concaveFaces
3993 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
3994 for ( size_t i = 0; i < concaveFaces.size(); ++i )
3995 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
3996 typedef SMDS_IteratorOnIterators
3997 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
3998 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4000 // a seacher to check if a volume is close to a concave face
4001 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4002 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4005 //BRepClass3d_SolidClassifier solidClassifier( shape );
4007 TIDSortedElemSet checkedVols, movedNodes;
4008 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4010 const TopoDS_Shape& face = faceIt.Current();
4011 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4012 if ( !faceSM ) continue;
4014 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4015 SMDS_NodeIteratorPtr nodeIt;
4016 if ( faceSM->NbNodes() > 0 ) {
4017 nodeIt = faceSM->GetNodes();
4020 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4021 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4022 if ( !vertexSM ) continue;
4023 nodeIt = vertexSM->GetNodes();
4026 // find suspicious volumes adjacent to the FACE
4027 vector< const SMDS_MeshNode* > nOnFace( 4 );
4028 const SMDS_MeshNode* nInSolid;
4029 //vector< const SMDS_MeshElement* > intersectedFaces;
4030 while ( nodeIt->more() )
4032 const SMDS_MeshNode* n = nodeIt->next();
4033 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4034 while ( volIt->more() )
4036 const SMDS_MeshElement* vol = volIt->next();
4037 int nbN = vol->NbCornerNodes();
4038 if ( ( nbN != 4 && nbN != 5 ) ||
4039 !solidSM->Contains( vol ) ||
4040 !checkedVols.insert( vol ).second )
4043 // get nodes on FACE and in SOLID of a suspicious volume
4044 nOnFace.clear(); nInSolid = 0;
4045 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4046 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4049 if ( n->GetPosition()->GetDim() == 3 )
4052 nOnFace.push_back( n );
4054 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4057 // get size of the vol
4058 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4059 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4060 for ( size_t i = 1; i < nOnFace.size(); ++i )
4062 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4065 // check if vol is close to concaveFaces
4066 const SMDS_MeshElement* closeFace =
4067 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4069 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4072 // check if vol is distorted, i.e. a medium node is much closer
4073 // to nInSolid than the link middle
4074 bool isDistorted = false;
4075 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4076 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4078 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4079 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4080 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4081 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4083 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4084 TLinkNodeMap::const_iterator linkIt =
4085 theHelper.GetTLinkNodeMap().find( link );
4086 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4088 links.push_back( make_pair( linkIt->first, linkIt->second ));
4089 if ( !isDistorted ) {
4090 // compare projections of nInSolid and nMedium to face normal
4091 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4092 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4093 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4094 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4098 // move medium nodes to link middle
4101 for ( size_t i = 0; i < links.size(); ++i )
4103 const SMDS_MeshNode* nMedium = links[i].second;
4104 if ( movedNodes.insert( nMedium ).second )
4106 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4107 SMESH_TNodeXYZ( links[i].first.node2() ));
4108 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4109 MSG( "move OUT of solid " << nMedium );
4112 theError->myBadElements.push_back( vol );
4114 } // loop on volumes sharing a node on FACE
4115 } // loop on nodes on FACE
4116 } // loop on FACEs of a SOLID
4118 if ( !theError->myBadElements.empty() )
4119 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4125 //=======================================================================
4127 * \brief Move medium nodes of faces and volumes to fix distorted elements
4128 * \param error - container of fixed distorted elements
4129 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4131 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4133 //=======================================================================
4135 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4138 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4139 if ( getenv("NO_FixQuadraticElements") )
4142 // 0. Apply algorithm to SOLIDs or FACEs
4143 // ----------------------------------------------
4144 if ( myShape.IsNull() ) {
4145 if ( !myMesh->HasShapeToMesh() ) return;
4146 SetSubShape( myMesh->GetShapeToMesh() );
4150 TopTools_IndexedMapOfShape solids;
4151 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4152 nbSolids = solids.Extent();
4154 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4155 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4156 faces.Add( f.Current() ); // not in solid
4158 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4159 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4160 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4161 faces.Add( f.Current() ); // in not meshed solid
4163 else { // fix nodes in the solid and its faces
4165 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4167 SMESH_MesherHelper h(*myMesh);
4168 h.SetSubShape( s.Current() );
4169 h.ToFixNodeParameters(true);
4170 h.FixQuadraticElements( compError, false );
4173 // fix nodes on geom faces
4175 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4177 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4178 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4179 SMESH_MesherHelper h(*myMesh);
4180 h.SetSubShape( fIt.Key() );
4181 h.ToFixNodeParameters(true);
4182 h.FixQuadraticElements( compError, true);
4184 //perf_print_all_meters(1);
4185 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4186 compError->myComment = "during conversion to quadratic, "
4187 "some medium nodes were not placed on geometry to avoid distorting elements";
4191 // 1. Find out type of elements and get iterator on them
4192 // ---------------------------------------------------
4194 SMDS_ElemIteratorPtr elemIt;
4195 SMDSAbs_ElementType elemType = SMDSAbs_All;
4197 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4200 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4201 elemIt = smDS->GetElements();
4202 if ( elemIt->more() ) {
4203 elemType = elemIt->next()->GetType();
4204 elemIt = smDS->GetElements();
4207 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4210 // 2. Fill in auxiliary data structures
4211 // ----------------------------------
4215 set< QLink >::iterator pLink;
4216 set< QFace >::iterator pFace;
4218 bool isCurved = false;
4219 //bool hasRectFaces = false;
4220 //set<int> nbElemNodeSet;
4221 SMDS_VolumeTool volTool;
4223 TIDSortedNodeSet apexOfPyramid;
4224 const int apexIndex = 4;
4227 // Move medium nodes to the link middle for elements whose corner nodes
4228 // are out of geometrical boundary to fix distorted elements.
4229 force3DOutOfBoundary( *this, compError );
4231 if ( elemType == SMDSAbs_Volume )
4233 while ( elemIt->more() ) // loop on volumes
4235 const SMDS_MeshElement* vol = elemIt->next();
4236 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4238 double volMinSize2 = -1.;
4239 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4241 int nbN = volTool.NbFaceNodes( iF );
4242 //nbElemNodeSet.insert( nbN );
4243 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4244 vector< const QLink* > faceLinks( nbN/2 );
4245 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4248 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4249 pLink = links.insert( link ).first;
4250 faceLinks[ iN/2 ] = & *pLink;
4252 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4254 if ( !link.IsStraight() )
4255 return; // already fixed
4257 else if ( !isCurved )
4259 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4260 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4264 pFace = faces.insert( QFace( faceLinks )).first;
4265 if ( pFace->NbVolumes() == 0 )
4266 pFace->AddSelfToLinks();
4267 pFace->SetVolume( vol );
4268 // hasRectFaces = hasRectFaces ||
4269 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4270 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4273 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4275 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4276 faceNodes[4],faceNodes[6] );
4279 // collect pyramid apexes for further correction
4280 if ( vol->NbCornerNodes() == 5 )
4281 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4283 set< QLink >::iterator pLink = links.begin();
4284 for ( ; pLink != links.end(); ++pLink )
4285 pLink->SetContinuesFaces();
4289 while ( elemIt->more() ) // loop on faces
4291 const SMDS_MeshElement* face = elemIt->next();
4292 if ( !face->IsQuadratic() )
4294 //nbElemNodeSet.insert( face->NbNodes() );
4295 int nbN = face->NbNodes()/2;
4296 vector< const QLink* > faceLinks( nbN );
4297 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4300 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4301 pLink = links.insert( link ).first;
4302 faceLinks[ iN ] = & *pLink;
4304 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4305 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4306 isCurved = !link.IsStraight();
4309 pFace = faces.insert( QFace( faceLinks )).first;
4310 pFace->AddSelfToLinks();
4311 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4315 return; // no curved edges of faces
4317 // 3. Compute displacement of medium nodes
4318 // ---------------------------------------
4320 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4321 TopLoc_Location loc;
4323 // not to treat boundary of volumic sub-mesh.
4324 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4325 for ( ; isInside < 2; ++isInside )
4327 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4328 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4329 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4331 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4332 if ( bool(isInside) == pFace->IsBoundary() )
4334 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4337 // make chain of links connected via continues faces
4340 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4342 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4344 vector< TChain > chains;
4345 if ( error == ERR_OK ) { // chain contains continues rectangles
4347 chains[0].splice( chains[0].begin(), rawChain );
4349 else if ( error == ERR_TRI ) { // chain contains continues triangles
4350 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4351 if ( res != _OK ) { // not quadrangles split into triangles
4352 fixTriaNearBoundary( rawChain, *this );
4356 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4357 fixPrism( rawChain );
4363 for ( int iC = 0; iC < chains.size(); ++iC )
4365 TChain& chain = chains[iC];
4366 if ( chain.empty() ) continue;
4367 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4368 MSG("3D straight - ignore");
4371 if ( chain.front()->MediumPos() > bndPos ||
4372 chain.back() ->MediumPos() > bndPos ) {
4373 MSG("Internal chain - ignore");
4376 // mesure chain length and compute link position along the chain
4377 double chainLen = 0;
4378 vector< double > linkPos;
4379 MSGBEG( "Link medium nodes: ");
4380 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4381 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4382 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4383 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4384 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4385 link1 = chain.erase( link1 );
4386 if ( link1 == chain.end() )
4388 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4391 linkPos.push_back( chainLen );
4394 if ( linkPos.size() < 2 )
4397 gp_Vec move0 = chain.front()->_nodeMove;
4398 gp_Vec move1 = chain.back ()->_nodeMove;
4403 // compute node displacement of end links of chain in parametric space of face
4404 TChainLink& linkOnFace = *(++chain.begin());
4405 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4406 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4407 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4409 face = TopoDS::Face( f );
4410 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4412 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4414 TChainLink& link = is1 ? chain.back() : chain.front();
4415 gp_XY uvm = GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV);
4416 gp_XY uv1 = GetNodeUV( face, link->node1(), nodeOnFace, &checkUV);
4417 gp_XY uv2 = GetNodeUV( face, link->node2(), nodeOnFace, &checkUV);
4418 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4419 // uvMove = uvm - uv12
4420 gp_XY uvMove = applyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4421 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4422 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4423 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4424 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4425 10 * uvMove.SquareModulus());
4427 if ( isStraight[0] && isStraight[1] ) {
4428 MSG("2D straight - ignore");
4429 continue; // straight - no need to move nodes of internal links
4432 // check if a chain is already fixed
4433 gp_XY uvm = GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV);
4434 gp_XY uv1 = GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV);
4435 gp_XY uv2 = GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV);
4436 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4437 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4439 MSG("Already fixed - ignore");
4445 if ( isInside || face.IsNull() )
4447 // compute node displacement of end links in their local coord systems
4449 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4450 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4451 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4452 move0.Transform(trsf);
4455 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
4456 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
4457 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4458 move1.Transform(trsf);
4461 // compute displacement of medium nodes
4462 link2 = chain.begin();
4465 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
4467 double r = linkPos[i] / chainLen;
4468 // displacement in local coord system
4469 gp_Vec move = (1. - r) * move0 + r * move1;
4470 if ( isInside || face.IsNull()) {
4471 // transform to global
4472 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
4473 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
4474 gp_Vec x = x01.Normalized() + x12.Normalized();
4475 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
4476 move.Transform(trsf);
4479 // compute 3D displacement by 2D one
4480 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
4481 gp_XY oldUV = GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV);
4482 gp_XY newUV = applyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added);
4483 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
4484 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
4485 if ( SMDS_FacePosition* nPos =
4486 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
4487 nPos->SetParameters( newUV.X(), newUV.Y() );
4489 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
4490 move.SquareMagnitude())
4492 gp_XY uv0 = GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV);
4493 gp_XY uv2 = GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV);
4494 MSG( "TOO LONG MOVE \t" <<
4495 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
4496 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
4497 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
4498 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
4502 (*link1)->Move( move );
4503 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
4504 << chain.front()->_mediumNode->GetID() <<"-"
4505 << chain.back ()->_mediumNode->GetID() <<
4506 " by " << move.Magnitude());
4508 } // loop on chains of links
4509 } // loop on 2 directions of propagation from quadrangle
4511 } // fix faces and/or volumes
4516 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
4517 const SMDS_MeshElement *biQuadQua, *triQuadHex;
4518 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
4519 myMesh->NbBiQuadTriangles() +
4520 myMesh->NbTriQuadraticHexas() );
4522 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
4523 if ( pLink->IsMoved() )
4525 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
4526 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
4528 // collect bi-quadratic elements
4529 if ( toFixCentralNodes )
4531 biQuadQua = triQuadHex = 0;
4532 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
4533 while ( eIt->more() )
4535 const SMDS_MeshElement* e = eIt->next();
4536 switch( e->GetEntityType() ) {
4537 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
4538 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
4539 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
4546 // Fix positions of central nodes of bi-tri-quadratic elements
4548 // treat bi-quad quadrangles
4550 vector< const SMDS_MeshNode* > nodes( 9 );
4552 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
4553 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
4555 const SMDS_MeshElement* quad = *quadIt;
4558 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
4560 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
4561 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4562 const TopoDS_Face& F = TopoDS::Face( S );
4563 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4564 const double tol = BRep_Tool::Tolerance( F );
4566 for ( int i = 0; i < 8; ++i )
4568 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
4569 // as this method is used after mesh generation, UV of nodes is not
4570 // updated according to bending links, so we update
4571 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4572 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4574 // move the central node
4575 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
4576 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4577 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
4581 // treat bi-quad triangles
4583 vector< const SMDS_MeshNode* > nodes;
4585 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
4586 for ( ; triIt != biQuadTris.end(); ++triIt )
4588 const SMDS_MeshElement* tria = *triIt;
4590 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
4591 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4592 const TopoDS_Face& F = TopoDS::Face( S );
4593 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4594 const double tol = BRep_Tool::Tolerance( F );
4597 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
4599 for ( int i = 0; i < 6; ++i )
4601 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &checkUV );
4602 // as this method is used after mesh generation, UV of nodes is not
4603 // updated according to bending links, so we update
4604 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4605 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4607 // move the central node
4608 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5] );
4609 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4610 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
4614 // treat tri-quadratic hexahedra
4616 SMDS_VolumeTool volExp;
4617 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
4618 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
4620 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
4622 // fix nodes central in sides
4623 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
4625 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
4626 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
4628 gp_XYZ p = calcTFI( 0.5, 0.5,
4629 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
4630 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
4631 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
4632 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
4633 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
4637 // fix the volume central node
4638 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
4639 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
4641 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
4642 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
4643 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
4644 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
4645 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
4646 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
4647 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
4648 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
4650 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
4651 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
4652 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
4653 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
4654 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
4655 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
4656 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
4657 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
4658 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
4659 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
4660 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
4661 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
4663 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
4664 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
4665 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
4666 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
4667 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
4668 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
4670 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
4671 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
4672 GetMeshDS()->MoveNode( hexNodes[26],
4673 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());