1 // Copyright (C) 2007-2015 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
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_HypoFilter.hxx"
36 #include "SMESH_MeshAlgos.hxx"
37 #include "SMESH_ProxyMesh.hxx"
38 #include "SMESH_subMesh.hxx"
40 #include <BRepAdaptor_Curve.hxx>
41 #include <BRepAdaptor_Surface.hxx>
42 #include <BRepTools.hxx>
43 #include <BRep_Tool.hxx>
44 #include <Geom2d_Curve.hxx>
45 #include <GeomAPI_ProjectPointOnCurve.hxx>
46 #include <GeomAPI_ProjectPointOnSurf.hxx>
47 #include <Geom_Curve.hxx>
48 #include <Geom_RectangularTrimmedSurface.hxx>
49 #include <Geom_Surface.hxx>
50 #include <ShapeAnalysis.hxx>
52 #include <TopExp_Explorer.hxx>
53 #include <TopTools_ListIteratorOfListOfShape.hxx>
54 #include <TopTools_MapIteratorOfMapOfShape.hxx>
55 #include <TopTools_MapOfShape.hxx>
58 #include <gp_Pnt2d.hxx>
59 #include <gp_Trsf.hxx>
61 #include <Standard_Failure.hxx>
62 #include <Standard_ErrorHandler.hxx>
64 #include <utilities.h>
70 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
74 inline SMESH_TNodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_TNodeXYZ(n); }
76 enum { U_periodic = 1, V_periodic = 2 };
79 //================================================================================
83 //================================================================================
85 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
89 myCreateQuadratic(false),
90 myCreateBiQuadratic(false),
91 myFixNodeParameters(false)
93 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
94 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
97 //=======================================================================
98 //function : ~SMESH_MesherHelper
100 //=======================================================================
102 SMESH_MesherHelper::~SMESH_MesherHelper()
105 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
106 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
107 delete i_proj->second;
110 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
111 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
112 delete i_proj->second;
116 //=======================================================================
117 //function : IsQuadraticSubMesh
118 //purpose : Check submesh for given shape: if all elements on this shape
119 // are quadratic, quadratic elements will be created.
120 // Also fill myTLinkNodeMap
121 //=======================================================================
123 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
125 SMESHDS_Mesh* meshDS = GetMeshDS();
126 // we can create quadratic elements only if all elements
127 // created on sub-shapes of given shape are quadratic
128 // also we have to fill myTLinkNodeMap
129 myCreateQuadratic = true;
130 mySeamShapeIds.clear();
131 myDegenShapeIds.clear();
132 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
133 if ( aSh.ShapeType()==TopAbs_COMPOUND )
135 TopoDS_Iterator subIt( aSh );
137 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
139 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
142 int nbOldLinks = myTLinkNodeMap.size();
144 if ( !myMesh->HasShapeToMesh() )
146 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
148 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
149 while ( fIt->more() )
150 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
155 TopExp_Explorer exp( aSh, subType );
156 TopTools_MapOfShape checkedSubShapes;
157 for (; exp.More() && myCreateQuadratic; exp.Next()) {
158 if ( !checkedSubShapes.Add( exp.Current() ))
159 continue; // needed if aSh is compound of solids
160 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
161 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
163 const SMDS_MeshElement* e = it->next();
164 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
165 myCreateQuadratic = false;
170 switch ( e->NbCornerNodes() ) {
172 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
174 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
175 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
176 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
178 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
179 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
180 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
181 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
184 myCreateQuadratic = false;
194 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
195 if ( myTLinkNodeMap.empty() )
196 myCreateQuadratic = false;
198 if ( !myCreateQuadratic )
199 myTLinkNodeMap.clear();
203 return myCreateQuadratic;
206 //=======================================================================
207 //function : SetSubShape
208 //purpose : Set geometry to make elements on
209 //=======================================================================
211 void SMESH_MesherHelper::SetSubShape(const int aShID)
213 if ( aShID == myShapeID )
216 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
218 SetSubShape( TopoDS_Shape() );
221 //=======================================================================
222 //function : SetSubShape
223 //purpose : Set geometry to create elements on
224 //=======================================================================
226 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
228 if ( myShape.IsSame( aSh ))
232 mySeamShapeIds.clear();
233 myDegenShapeIds.clear();
235 if ( myShape.IsNull() ) {
239 SMESHDS_Mesh* meshDS = GetMeshDS();
240 myShapeID = meshDS->ShapeToIndex(aSh);
243 // treatment of periodic faces
244 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
246 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
247 BRepAdaptor_Surface surf( face, false );
248 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
249 myParIndex |= U_periodic;
250 myPar1[0] = surf.FirstUParameter();
251 myPar2[0] = surf.LastUParameter();
253 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
254 myParIndex |= V_periodic;
255 myPar1[1] = surf.FirstVParameter();
256 myPar2[1] = surf.LastVParameter();
260 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
262 // look for a "seam" edge, a real seam or an edge on period boundary
263 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
264 const int edgeID = meshDS->ShapeToIndex( edge );
267 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
268 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
269 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
271 bool isSeam = BRep_Tool::IsClosed( edge, face );
272 if ( isSeam ) // real seam - having two pcurves on face
274 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
277 double u1 = uv1.Coord(1);
279 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
280 double u2 = uv1.Coord(1);
281 myPar1[0] = Min( u1, u2 );
282 myPar2[0] = Max( u1, u2 );
286 double v1 = uv1.Coord(2);
288 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
289 double v2 = uv1.Coord(2);
290 myPar1[1] = Min( v1, v2 );
291 myPar2[1] = Max( v1, v2 );
294 else //if ( !isSeam )
296 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
297 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
299 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
300 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
302 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
304 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
305 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
307 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
309 double f,l, r = 0.2345;
310 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
311 uv2 = C2d->Value( f * r + l * ( 1.-r ));
312 if ( du < Precision::PConfusion() )
313 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
315 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
320 // store seam shape indices, negative if shape encounters twice ('real seam')
321 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
322 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
323 int vertexID = meshDS->ShapeToIndex( v.Current() );
324 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
328 // look for a degenerated edge
329 if ( SMESH_Algo::isDegenerated( edge )) {
330 myDegenShapeIds.insert( edgeID );
331 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
332 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
334 if ( !BRep_Tool::SameParameter( edge ) ||
335 !BRep_Tool::SameRange( edge ))
337 setPosOnShapeValidity( edgeID, false );
343 //=======================================================================
344 //function : GetNodeUVneedInFaceNode
345 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
346 // Return true if the face is periodic.
347 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
349 //=======================================================================
351 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
353 if ( F.IsNull() ) return !mySeamShapeIds.empty();
355 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
356 return !mySeamShapeIds.empty();
359 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
360 if ( !aSurface.IsNull() )
361 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
366 //=======================================================================
367 //function : IsMedium
369 //=======================================================================
371 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
372 const SMDSAbs_ElementType typeToCheck)
374 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
377 //=======================================================================
378 //function : GetSubShapeByNode
379 //purpose : Return support shape of a node
380 //=======================================================================
382 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
383 const SMESHDS_Mesh* meshDS)
385 int shapeID = node ? node->getshapeId() : 0;
386 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
387 return meshDS->IndexToShape( shapeID );
389 return TopoDS_Shape();
393 //=======================================================================
394 //function : AddTLinkNode
395 //purpose : add a link in my data structure
396 //=======================================================================
398 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
399 const SMDS_MeshNode* n2,
400 const SMDS_MeshNode* n12)
402 // add new record to map
403 SMESH_TLink link( n1, n2 );
404 myTLinkNodeMap.insert( make_pair(link,n12));
407 //================================================================================
409 * \brief Add quadratic links of edge to own data structure
411 //================================================================================
413 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
415 if ( edge && edge->IsQuadratic() )
416 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
422 //================================================================================
424 * \brief Add quadratic links of face to own data structure
426 //================================================================================
428 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
432 switch ( f->NbNodes() ) {
434 // myMapWithCentralNode.insert
435 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
437 // break; -- add medium nodes as well
439 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
440 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
441 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
444 // myMapWithCentralNode.insert
445 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
447 // break; -- add medium nodes as well
449 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
450 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
451 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
452 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
459 //================================================================================
461 * \brief Add quadratic links of volume to own data structure
463 //================================================================================
465 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
467 if ( volume->IsQuadratic() )
469 SMDS_VolumeTool vTool( volume );
470 const SMDS_MeshNode** nodes = vTool.GetNodes();
472 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
474 const int nbN = vTool.NbFaceNodes( iF );
475 const int* iNodes = vTool.GetFaceNodesIndices( iF );
476 for ( int i = 0; i < nbN; )
478 int iN1 = iNodes[i++];
479 int iN12 = iNodes[i++];
481 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
482 int linkID = iN1 * vTool.NbNodes() + iN2;
483 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
484 if ( it_isNew.second )
485 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
487 addedLinks.erase( it_isNew.first ); // each link encounters only twice
489 if ( vTool.NbNodes() == 27 )
491 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
492 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
493 myMapWithCentralNode.insert
494 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
495 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
504 //================================================================================
506 * \brief Return true if position of nodes on the shape hasn't yet been checked or
507 * the positions proved to be invalid
509 //================================================================================
511 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
513 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
514 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
517 //================================================================================
519 * \brief Set validity of positions of nodes on the shape.
520 * Once set, validity is not changed
522 //================================================================================
524 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
526 std::map< int,bool >::iterator sh_ok =
527 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
532 //=======================================================================
533 //function : ToFixNodeParameters
534 //purpose : Enables fixing node parameters on EDGEs and FACEs in
535 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
536 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
538 //=======================================================================
540 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
542 myFixNodeParameters = toFix;
546 //=======================================================================
547 //function : getUVOnSeam
548 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
549 //=======================================================================
551 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
553 gp_Pnt2d result = uv1;
554 for ( int i = U_periodic; i <= V_periodic ; ++i )
556 if ( myParIndex & i )
558 double p1 = uv1.Coord( i );
559 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
560 if ( myParIndex == i ||
561 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
562 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
564 double p2 = uv2.Coord( i );
565 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
566 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
567 result.SetCoord( i, p1Alt );
574 //=======================================================================
575 //function : GetNodeUV
576 //purpose : Return node UV on face
577 //=======================================================================
579 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
580 const SMDS_MeshNode* n,
581 const SMDS_MeshNode* n2,
584 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
586 const SMDS_PositionPtr Pos = n->GetPosition();
588 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
590 // node has position on face
591 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( Pos );
592 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
594 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
596 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
598 // node has position on EDGE => it is needed to find
599 // corresponding EDGE from FACE, get pcurve for this
600 // EDGE and retrieve value from this pcurve
601 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( Pos );
602 const int edgeID = n->getshapeId();
603 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
604 double f, l, u = epos->GetUParameter();
605 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
606 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
607 if ( validU ) uv = C2d->Value( u );
608 else uv.SetCoord( Precision::Infinite(),0.);
609 if ( check || !validU )
610 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
612 // for a node on a seam EDGE select one of UVs on 2 pcurves
613 if ( n2 && IsSeamShape( edgeID ))
615 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
618 { // adjust uv to period
620 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
621 Standard_Boolean isUPeriodic = S->IsUPeriodic();
622 Standard_Boolean isVPeriodic = S->IsVPeriodic();
624 if ( isUPeriodic || isVPeriodic ) {
625 Standard_Real UF,UL,VF,VL;
626 S->Bounds(UF,UL,VF,VL);
627 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
628 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
632 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
633 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
634 newUV.SetX( uv.X() );
635 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
636 newUV.SetY( uv.Y() );
642 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
644 if ( int vertexID = n->getshapeId() ) {
645 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
647 uv = BRep_Tool::Parameters( V, F );
650 catch (Standard_Failure& exc) {
653 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
654 uvOK = ( V == vert.Current() );
656 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
657 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
658 // get UV of a vertex closest to the node
660 gp_Pnt pn = XYZ( n );
661 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
662 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
663 gp_Pnt p = BRep_Tool::Pnt( curV );
664 double curDist = p.SquareDistance( pn );
665 if ( curDist < dist ) {
667 uv = BRep_Tool::Parameters( curV, F );
668 uvOK = ( dist < DBL_MIN );
674 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
675 for ( ; it.More(); it.Next() ) {
676 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
677 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
679 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
680 if ( !C2d.IsNull() ) {
681 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
682 uv = C2d->Value( u );
690 if ( n2 && IsSeamShape( vertexID ))
692 bool isSeam = ( myShape.IsSame( F ));
694 SMESH_MesherHelper h( *myMesh );
696 isSeam = IsSeamShape( vertexID );
700 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
706 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
709 if ( check && !uvOK )
715 //=======================================================================
716 //function : CheckNodeUV
717 //purpose : Check and fix node UV on a face
718 //=======================================================================
720 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
721 const SMDS_MeshNode* n,
725 double distXYZ[4]) const
727 int shapeID = n->getshapeId();
729 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
731 ( uv.X() == 0. && uv.Y() == 0. ) ||
732 ( toCheckPosOnShape( shapeID )))
734 // check that uv is correct
736 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
737 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
739 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
741 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
743 setPosOnShapeValidity( shapeID, false );
744 if ( !infinit && distXYZ ) {
745 surfPnt.Transform( loc );
747 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
749 // uv incorrect, project the node to surface
750 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
751 projector.Perform( nodePnt );
752 if ( !projector.IsDone() || projector.NbPoints() < 1 )
754 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
757 Quantity_Parameter U,V;
758 projector.LowerDistanceParameters(U,V);
760 surfPnt = surface->Value( U, V );
761 dist = nodePnt.Distance( surfPnt );
763 surfPnt.Transform( loc );
765 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
769 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
772 // store the fixed UV on the face
773 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
774 const_cast<SMDS_MeshNode*>(n)->SetPosition
775 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
777 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
779 setPosOnShapeValidity( shapeID, true );
785 //=======================================================================
786 //function : GetProjector
787 //purpose : Return projector intitialized by given face without location, which is returned
788 //=======================================================================
790 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
791 TopLoc_Location& loc,
794 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
795 int faceID = GetMeshDS()->ShapeToIndex( F );
796 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
797 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
798 if ( i_proj == i2proj.end() )
800 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
801 double U1, U2, V1, V2;
802 surface->Bounds(U1, U2, V1, V2);
803 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
804 proj->Init( surface, U1, U2, V1, V2, tol );
805 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
807 return *( i_proj->second );
812 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
813 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
814 gp_XY_FunPtr(Subtracted);
817 //=======================================================================
818 //function : ApplyIn2D
819 //purpose : Perform given operation on two 2d points in parameric space of given surface.
820 // It takes into account period of the surface. Use gp_XY_FunPtr macro
821 // to easily define pointer to function of gp_XY class.
822 //=======================================================================
824 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
828 const bool resultInPeriod)
830 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
831 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
832 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
833 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
834 if ( !isUPeriodic && !isVPeriodic )
837 // move uv2 not far than half-period from uv1
839 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
841 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
844 gp_XY res = fun( uv1, gp_XY(u2,v2) );
846 // move result within period
847 if ( resultInPeriod )
849 Standard_Real UF,UL,VF,VL;
850 surface->Bounds(UF,UL,VF,VL);
852 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
854 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
860 //=======================================================================
861 //function : AdjustByPeriod
862 //purpose : Move node positions on a FACE within surface period
863 //=======================================================================
865 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
867 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
868 ph->SetSubShape( face );
870 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
871 if ( ph->GetPeriodicIndex() & iCoo )
873 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
874 const double xRef = uv[0].Coord( iCoo );
875 for ( int i = 1; i < nbUV; ++i )
877 double x = uv[i].Coord( iCoo );
878 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
879 uv[i].SetCoord( iCoo, x + dx );
884 //=======================================================================
885 //function : GetMiddleUV
886 //purpose : Return middle UV taking in account surface period
887 //=======================================================================
889 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
894 // the proper place of getting basic surface seems to be in ApplyIn2D()
895 // but we put it here to decrease a risk of regressions just before releasing a version
896 // Handle(Geom_Surface) surf = surface;
897 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
898 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
900 return ApplyIn2D( surface, p1, p2, & AverageUV );
903 //=======================================================================
904 //function : GetCenterUV
905 //purpose : Return UV for the central node of a biquadratic triangle
906 //=======================================================================
908 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
914 bool * isBadTria/*=0*/)
917 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
919 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
920 uvAvg = ( uv1 + uv23 ) / 2.;
921 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
922 uvAvg = ( uv2 + uv31 ) / 2.;
923 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
924 uvAvg = ( uv3 + uv12 ) / 2.;
927 *isBadTria = badTria;
931 //=======================================================================
932 //function : GetNodeU
933 //purpose : Return node U on edge
934 //=======================================================================
936 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
937 const SMDS_MeshNode* n,
938 const SMDS_MeshNode* inEdgeNode,
941 double param = Precision::Infinite();
943 const SMDS_PositionPtr pos = n->GetPosition();
944 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
946 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
947 param = epos->GetUParameter();
949 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
951 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
954 BRep_Tool::Range( E, f,l );
955 double uInEdge = GetNodeU( E, inEdgeNode );
956 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
960 SMESHDS_Mesh * meshDS = GetMeshDS();
961 int vertexID = n->getshapeId();
962 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
963 param = BRep_Tool::Parameter( V, E );
968 double tol = BRep_Tool::Tolerance( E );
969 double f,l; BRep_Tool::Range( E, f,l );
970 bool force = ( param < f-tol || param > l+tol );
971 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
972 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
974 *check = CheckNodeU( E, n, param, 2*tol, force );
979 //=======================================================================
980 //function : CheckNodeU
981 //purpose : Check and fix node U on an edge
982 // Return false if U is bad and could not be fixed
983 //=======================================================================
985 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
986 const SMDS_MeshNode* n,
990 double distXYZ[4]) const
992 int shapeID = n->getshapeId();
994 if (( infinit = Precision::IsInfinite( u )) ||
997 ( toCheckPosOnShape( shapeID )))
999 TopLoc_Location loc; double f,l;
1000 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1001 if ( curve.IsNull() ) // degenerated edge
1003 if ( u+tol < f || u-tol > l )
1005 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1011 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1012 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1014 double dist = 2*tol;
1017 curvPnt = curve->Value( u );
1018 dist = nodePnt.Distance( curvPnt );
1020 curvPnt.Transform( loc );
1022 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1027 setPosOnShapeValidity( shapeID, false );
1028 // u incorrect, project the node to the curve
1029 int edgeID = GetMeshDS()->ShapeToIndex( E );
1030 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1031 TID2ProjectorOnCurve::iterator i_proj =
1032 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1033 if ( !i_proj->second )
1035 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1036 i_proj->second->Init( curve, f, l );
1038 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1039 projector->Perform( nodePnt );
1040 if ( projector->NbPoints() < 1 )
1042 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1045 Quantity_Parameter U = projector->LowerDistanceParameter();
1047 MESSAGE(" f " << f << " l " << l << " u " << u);
1048 curvPnt = curve->Value( u );
1049 dist = nodePnt.Distance( curvPnt );
1051 curvPnt.Transform( loc );
1053 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1057 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
1058 MESSAGE("distance " << dist << " " << tol );
1061 // store the fixed U on the edge
1062 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1063 const_cast<SMDS_MeshNode*>(n)->SetPosition
1064 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1066 else if ( fabs( u ) > numeric_limits<double>::min() )
1068 setPosOnShapeValidity( shapeID, true );
1070 if (( u < f-tol || u > l+tol ) && force )
1072 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1073 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1076 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1077 double period = curve->Period();
1078 u = ( u < f ) ? u + period : u - period;
1080 catch (Standard_Failure& exc)
1090 //=======================================================================
1091 //function : GetMediumPos
1092 //purpose : Return index and type of the shape (EDGE or FACE only) to
1093 // set a medium node on
1094 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1096 //param : expectedSupport - shape type corresponding to element being created,
1097 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1098 // basing on \a n1 and \a n2
1099 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1100 // case where the lower dim mesh is already constructed and converted to quadratic,
1101 // else, nodes on EDGEs are assigned to FACE, for example.
1102 //=======================================================================
1104 std::pair<int, TopAbs_ShapeEnum>
1105 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1106 const SMDS_MeshNode* n2,
1107 const bool useCurSubShape,
1108 TopAbs_ShapeEnum expectedSupport)
1110 if ( useCurSubShape && !myShape.IsNull() )
1111 return std::make_pair( myShapeID, myShape.ShapeType() );
1113 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1117 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1119 shapeType = myShape.ShapeType();
1120 shapeID = myShapeID;
1122 else if ( n1->getshapeId() == n2->getshapeId() )
1124 shapeID = n2->getshapeId();
1125 shape = GetSubShapeByNode( n1, GetMeshDS() );
1127 else // 2 different shapes
1129 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1130 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1132 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1136 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1139 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1141 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1142 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1143 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1144 if ( IsSubShape( S, F ))
1146 shapeType = TopAbs_FACE;
1147 shapeID = n1->getshapeId();
1151 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1153 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1154 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1155 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1157 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1159 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1160 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1161 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1162 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1164 else // on VERTEX and EDGE
1166 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1167 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1168 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1169 if ( IsSubShape( V, E ))
1172 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1176 if ( !shape.IsNull() )
1179 shapeID = GetMeshDS()->ShapeToIndex( shape );
1180 shapeType = shape.ShapeType(); // EDGE or FACE
1182 if ( expectedSupport < shapeType &&
1183 expectedSupport != TopAbs_SHAPE &&
1184 !myShape.IsNull() &&
1185 myShape.ShapeType() == expectedSupport )
1187 // e.g. a side of triangle connects nodes on the same EDGE but does not
1188 // lie on this EDGE (an arc with a coarse mesh)
1189 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1190 // hope that myShape is a right shape, return it if the found shape
1191 // has converted elements of corresponding dim (segments in our example)
1192 int nbConvertedElems = 0;
1193 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1194 for ( int iN = 0; iN < 2; ++iN )
1196 const SMDS_MeshNode* n = iN ? n2 : n1;
1197 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1198 while ( it->more() )
1200 const SMDS_MeshElement* elem = it->next();
1201 if ( elem->getshapeId() == shapeID &&
1202 elem->IsQuadratic() )
1209 if ( nbConvertedElems == 2 )
1211 shapeType = myShape.ShapeType();
1212 shapeID = myShapeID;
1216 return make_pair( shapeID, shapeType );
1219 //=======================================================================
1220 //function : GetCentralNode
1221 //purpose : Return existing or create a new central node for a quardilateral
1222 // quadratic face given its 8 nodes.
1223 //@param : force3d - true means node creation in between the given nodes,
1224 // else node position is found on a geometrical face if any.
1225 //=======================================================================
1227 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1228 const SMDS_MeshNode* n2,
1229 const SMDS_MeshNode* n3,
1230 const SMDS_MeshNode* n4,
1231 const SMDS_MeshNode* n12,
1232 const SMDS_MeshNode* n23,
1233 const SMDS_MeshNode* n34,
1234 const SMDS_MeshNode* n41,
1237 SMDS_MeshNode *centralNode = 0; // central node to return
1239 // Find an existing central node
1241 TBiQuad keyOfMap(n1,n2,n3,n4);
1242 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1243 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1244 if ( itMapCentralNode != myMapWithCentralNode.end() )
1246 return (*itMapCentralNode).second;
1249 // Get type of shape for the new central node
1251 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1255 TopTools_ListIteratorOfListOfShape it;
1257 std::map< int, int > faceId2nbNodes;
1258 std::map< int, int > ::iterator itMapWithIdFace;
1260 SMESHDS_Mesh* meshDS = GetMeshDS();
1262 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1263 // on sub-shapes of the FACE
1264 if ( GetMesh()->HasShapeToMesh() )
1266 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1267 for(int i = 0; i < 4; i++)
1269 shape = GetSubShapeByNode( nodes[i], meshDS );
1270 if ( shape.IsNull() ) break;
1271 if ( shape.ShapeType() == TopAbs_SOLID )
1273 solidID = nodes[i]->getshapeId();
1274 shapeType = TopAbs_SOLID;
1277 if ( shape.ShapeType() == TopAbs_FACE )
1279 faceID = nodes[i]->getshapeId();
1280 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1281 itMapWithIdFace->second++;
1285 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1286 while ( const TopoDS_Shape* face = it->next() )
1288 faceID = meshDS->ShapeToIndex( *face );
1289 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1290 itMapWithIdFace->second++;
1295 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1297 // find ID of the FACE the four corner nodes belong to
1298 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1299 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1300 itMapWithIdFace->second == 4 )
1302 shapeType = TopAbs_FACE;
1307 itMapWithIdFace = faceId2nbNodes.begin();
1308 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1310 if ( itMapWithIdFace->second == 4 )
1312 shapeType = TopAbs_FACE;
1313 faceID = (*itMapWithIdFace).first;
1321 if ( shapeType == TopAbs_FACE )
1323 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1330 bool toCheck = true;
1331 if ( !F.IsNull() && !force3d )
1334 GetNodeUV( F,n1, n3, &toCheck ),
1335 GetNodeUV( F,n2, n4, &toCheck ),
1336 GetNodeUV( F,n3, n1, &toCheck ),
1337 GetNodeUV( F,n4, n2, &toCheck ),
1338 GetNodeUV( F,n12, n3 ),
1339 GetNodeUV( F,n23, n4 ),
1340 GetNodeUV( F,n34, n2 ),
1341 GetNodeUV( F,n41, n2 )
1343 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1345 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1347 TopLoc_Location loc;
1348 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1349 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1350 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1351 // if ( mySetElemOnShape ) node is not elem!
1352 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1354 else // ( force3d || F.IsNull() )
1356 P = calcTFI (0.5, 0.5,
1357 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1358 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1359 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1360 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1361 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1363 if ( !F.IsNull() ) // force3d
1365 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1366 GetNodeUV(F,n2,n4,&toCheck) +
1367 GetNodeUV(F,n3,n1,&toCheck) +
1368 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1369 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1370 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1372 else if ( solidID > 0 )
1374 meshDS->SetNodeInVolume( centralNode, solidID );
1376 else if ( myShapeID > 0 && mySetElemOnShape )
1378 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1381 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1385 //=======================================================================
1386 //function : GetCentralNode
1387 //purpose : Return existing or create a new central node for a
1388 // quadratic triangle given its 6 nodes.
1389 //@param : force3d - true means node creation in between the given nodes,
1390 // else node position is found on a geometrical face if any.
1391 //=======================================================================
1393 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1394 const SMDS_MeshNode* n2,
1395 const SMDS_MeshNode* n3,
1396 const SMDS_MeshNode* n12,
1397 const SMDS_MeshNode* n23,
1398 const SMDS_MeshNode* n31,
1401 SMDS_MeshNode *centralNode = 0; // central node to return
1403 // Find an existing central node
1405 TBiQuad keyOfMap(n1,n2,n3);
1406 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1407 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1408 if ( itMapCentralNode != myMapWithCentralNode.end() )
1410 return (*itMapCentralNode).second;
1413 // Get type of shape for the new central node
1415 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1419 TopTools_ListIteratorOfListOfShape it;
1421 std::map< int, int > faceId2nbNodes;
1422 std::map< int, int > ::iterator itMapWithIdFace;
1424 SMESHDS_Mesh* meshDS = GetMeshDS();
1426 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1427 // on sub-shapes of the FACE
1428 if ( GetMesh()->HasShapeToMesh() )
1430 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1431 for(int i = 0; i < 3; i++)
1433 shape = GetSubShapeByNode( nodes[i], meshDS );
1434 if ( shape.IsNull() ) break;
1435 if ( shape.ShapeType() == TopAbs_SOLID )
1437 solidID = nodes[i]->getshapeId();
1438 shapeType = TopAbs_SOLID;
1441 if ( shape.ShapeType() == TopAbs_FACE )
1443 faceID = nodes[i]->getshapeId();
1444 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1445 itMapWithIdFace->second++;
1449 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1450 while ( const TopoDS_Shape* face = it->next() )
1452 faceID = meshDS->ShapeToIndex( *face );
1453 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1454 itMapWithIdFace->second++;
1459 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1461 // find ID of the FACE the four corner nodes belong to
1462 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1463 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1464 itMapWithIdFace->second == 4 )
1466 shapeType = TopAbs_FACE;
1471 itMapWithIdFace = faceId2nbNodes.begin();
1472 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1474 if ( itMapWithIdFace->second == 3 )
1476 shapeType = TopAbs_FACE;
1477 faceID = (*itMapWithIdFace).first;
1487 if ( shapeType == TopAbs_FACE )
1489 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1490 bool checkOK = true, badTria = false;
1492 GetNodeUV( F, n1, n23, &checkOK ),
1493 GetNodeUV( F, n2, n31, &checkOK ),
1494 GetNodeUV( F, n3, n12, &checkOK ),
1495 GetNodeUV( F, n12, n3, &checkOK ),
1496 GetNodeUV( F, n23, n1, &checkOK ),
1497 GetNodeUV( F, n31, n2, &checkOK )
1499 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1501 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1503 if ( badTria || !checkOK )
1507 // Create a central node
1510 if ( !F.IsNull() && !force3d )
1512 TopLoc_Location loc;
1513 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1514 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1515 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1516 // if ( mySetElemOnShape ) node is not elem!
1517 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1519 else // ( force3d || F.IsNull() )
1521 P = ( SMESH_TNodeXYZ( n12 ) +
1522 SMESH_TNodeXYZ( n23 ) +
1523 SMESH_TNodeXYZ( n31 ) ) / 3;
1524 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1526 if ( !F.IsNull() ) // force3d
1528 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1530 else if ( solidID > 0 )
1532 meshDS->SetNodeInVolume( centralNode, solidID );
1534 else if ( myShapeID > 0 && mySetElemOnShape )
1536 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1539 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1543 //=======================================================================
1544 //function : GetMediumNode
1545 //purpose : Return existing or create a new medium node between given ones
1546 //=======================================================================
1548 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1549 const SMDS_MeshNode* n2,
1551 TopAbs_ShapeEnum expectedSupport)
1553 // Find existing node
1555 SMESH_TLink link(n1,n2);
1556 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1557 if ( itLN != myTLinkNodeMap.end() ) {
1558 return (*itLN).second;
1561 // Create medium node
1564 SMESHDS_Mesh* meshDS = GetMeshDS();
1566 if ( IsSeamShape( n1->getshapeId() ))
1567 // to get a correct UV of a node on seam, the second node must have checked UV
1568 std::swap( n1, n2 );
1570 // get type of shape for the new medium node
1571 int faceID = -1, edgeID = -1;
1572 TopoDS_Edge E; double u [2];
1573 TopoDS_Face F; gp_XY uv[2];
1574 bool uvOK[2] = { true, true };
1575 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1577 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1579 // get positions of the given nodes on shapes
1580 if ( pos.second == TopAbs_FACE )
1582 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1583 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1584 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1586 else if ( pos.second == TopAbs_EDGE )
1588 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1589 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1590 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1591 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1592 n1->getshapeId() != n2->getshapeId() )
1595 return getMediumNodeOnComposedWire(n1,n2,force3d);
1597 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1599 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1600 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1602 catch ( Standard_Failure& f )
1604 // issue 22502 / a node is on VERTEX not belonging to E
1605 // issue 22568 / both nodes are on non-connected VERTEXes
1606 return getMediumNodeOnComposedWire(n1,n2,force3d);
1610 if ( !force3d & uvOK[0] && uvOK[1] )
1612 // we try to create medium node using UV parameters of
1613 // nodes, else - medium between corresponding 3d points
1616 //if ( uvOK[0] && uvOK[1] )
1618 if ( IsDegenShape( n1->getshapeId() )) {
1619 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1620 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1622 else if ( IsDegenShape( n2->getshapeId() )) {
1623 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1624 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1626 TopLoc_Location loc;
1627 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1628 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1629 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1630 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1631 // if ( mySetElemOnShape ) node is not elem!
1632 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1633 myTLinkNodeMap.insert(make_pair(link,n12));
1637 else if ( !E.IsNull() )
1640 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1643 Standard_Boolean isPeriodic = C->IsPeriodic();
1646 Standard_Real Period = C->Period();
1647 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1648 Standard_Real pmid = (u[0]+p)/2.;
1649 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1654 gp_Pnt P = C->Value( U );
1655 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1656 //if ( mySetElemOnShape ) node is not elem!
1657 meshDS->SetNodeOnEdge(n12, edgeID, U);
1658 myTLinkNodeMap.insert(make_pair(link,n12));
1665 double x = ( n1->X() + n2->X() )/2.;
1666 double y = ( n1->Y() + n2->Y() )/2.;
1667 double z = ( n1->Z() + n2->Z() )/2.;
1668 n12 = meshDS->AddNode(x,y,z);
1670 //if ( mySetElemOnShape ) node is not elem!
1674 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1675 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1676 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1678 else if ( !E.IsNull() )
1680 double U = ( u[0] + u[1] ) / 2.;
1681 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1682 meshDS->SetNodeOnEdge(n12, edgeID, U);
1684 else if ( myShapeID > 0 && mySetElemOnShape )
1686 meshDS->SetMeshElementOnShape(n12, myShapeID);
1690 myTLinkNodeMap.insert( make_pair( link, n12 ));
1694 //================================================================================
1696 * \brief Makes a medium node if nodes reside different edges
1698 //================================================================================
1700 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1701 const SMDS_MeshNode* n2,
1704 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1705 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1706 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1708 // To find position on edge and 3D position for n12,
1709 // project <middle> to 2 edges and select projection most close to <middle>
1711 TopoDS_Edge bestEdge;
1712 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1714 // get shapes under the nodes
1715 TopoDS_Shape shape[2];
1717 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1719 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1720 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1722 shape[ nbShapes++ ] = S;
1725 vector< TopoDS_Shape > edges;
1726 for ( int iS = 0; iS < nbShapes; ++iS )
1728 switch ( shape[iS].ShapeType() ) {
1731 edges.push_back( shape[iS] );
1737 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1738 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1740 if ( edge.IsNull() )
1742 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1743 while( const TopoDS_Shape* e = eIt->next() )
1744 edges.push_back( *e );
1750 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1751 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1752 edges.push_back( e.Current() );
1759 // project to get U of projection and distance from middle to projection
1760 for ( size_t iE = 0; iE < edges.size(); ++iE )
1762 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1763 distXYZ[0] = distMiddleProj;
1765 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1766 if ( distXYZ[0] < distMiddleProj )
1768 distMiddleProj = distXYZ[0];
1774 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1775 // TopoDS_Vertex vCommon;
1776 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1777 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1780 // double f,l, u0 = GetNodeU( edges[0], n1 );
1781 // BRep_Tool::Range( edges[0],f,l );
1782 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1785 // distMiddleProj = 0;
1788 if ( !bestEdge.IsNull() )
1790 // move n12 to position of a successfull projection
1791 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1792 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1794 TopLoc_Location loc;
1795 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1796 gp_Pnt p = curve->Value( u ).Transformed( loc );
1797 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1799 //if ( mySetElemOnShape ) node is not elem!
1801 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1802 if ( edgeID != n12->getshapeId() )
1803 GetMeshDS()->UnSetNodeOnShape( n12 );
1804 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1807 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1812 //=======================================================================
1813 //function : AddNode
1814 //purpose : Creates a node
1815 //=======================================================================
1817 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1820 SMESHDS_Mesh * meshDS = GetMeshDS();
1821 SMDS_MeshNode* node = 0;
1823 node = meshDS->AddNodeWithID( x, y, z, ID );
1825 node = meshDS->AddNode( x, y, z );
1826 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1827 switch ( myShape.ShapeType() ) {
1828 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1829 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1830 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1831 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1832 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1839 //=======================================================================
1840 //function : AddEdge
1841 //purpose : Creates quadratic or linear edge
1842 //=======================================================================
1844 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1845 const SMDS_MeshNode* n2,
1849 SMESHDS_Mesh * meshDS = GetMeshDS();
1851 SMDS_MeshEdge* edge = 0;
1852 if (myCreateQuadratic) {
1853 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1855 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1857 edge = meshDS->AddEdge(n1, n2, n12);
1861 edge = meshDS->AddEdgeWithID(n1, n2, id);
1863 edge = meshDS->AddEdge(n1, n2);
1866 if ( mySetElemOnShape && myShapeID > 0 )
1867 meshDS->SetMeshElementOnShape( edge, myShapeID );
1872 //=======================================================================
1873 //function : AddFace
1874 //purpose : Creates quadratic or linear triangle
1875 //=======================================================================
1877 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1878 const SMDS_MeshNode* n2,
1879 const SMDS_MeshNode* n3,
1883 SMESHDS_Mesh * meshDS = GetMeshDS();
1884 SMDS_MeshFace* elem = 0;
1886 if( n1==n2 || n2==n3 || n3==n1 )
1889 if(!myCreateQuadratic) {
1891 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1893 elem = meshDS->AddFace(n1, n2, n3);
1896 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1897 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1898 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1899 if(myCreateBiQuadratic)
1901 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1903 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1905 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1910 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1912 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1915 if ( mySetElemOnShape && myShapeID > 0 )
1916 meshDS->SetMeshElementOnShape( elem, myShapeID );
1921 //=======================================================================
1922 //function : AddFace
1923 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1924 //=======================================================================
1926 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1927 const SMDS_MeshNode* n2,
1928 const SMDS_MeshNode* n3,
1929 const SMDS_MeshNode* n4,
1933 SMESHDS_Mesh * meshDS = GetMeshDS();
1934 SMDS_MeshFace* elem = 0;
1937 return AddFace(n1,n3,n4,id,force3d);
1940 return AddFace(n1,n2,n4,id,force3d);
1943 return AddFace(n1,n2,n3,id,force3d);
1946 return AddFace(n1,n2,n4,id,force3d);
1949 return AddFace(n1,n2,n3,id,force3d);
1952 return AddFace(n1,n2,n3,id,force3d);
1955 if(!myCreateQuadratic) {
1957 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1959 elem = meshDS->AddFace(n1, n2, n3, n4);
1962 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1963 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1964 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
1965 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
1966 if(myCreateBiQuadratic)
1968 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1970 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1972 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1977 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1979 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1982 if ( mySetElemOnShape && myShapeID > 0 )
1983 meshDS->SetMeshElementOnShape( elem, myShapeID );
1988 //=======================================================================
1989 //function : AddPolygonalFace
1990 //purpose : Creates polygon, with additional nodes in quadratic mesh
1991 //=======================================================================
1993 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1997 SMESHDS_Mesh * meshDS = GetMeshDS();
1998 SMDS_MeshFace* elem = 0;
2000 if(!myCreateQuadratic)
2003 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2005 elem = meshDS->AddPolygonalFace(nodes);
2009 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2011 for ( int i = 0; i < nodes.size(); ++i )
2013 const SMDS_MeshNode* n1 = nodes[i];
2014 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2015 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2016 newNodes.push_back( n12 );
2019 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2021 elem = meshDS->AddQuadPolygonalFace(newNodes);
2023 if ( mySetElemOnShape && myShapeID > 0 )
2024 meshDS->SetMeshElementOnShape( elem, myShapeID );
2029 //=======================================================================
2030 //function : AddVolume
2031 //purpose : Creates quadratic or linear prism
2032 //=======================================================================
2034 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2035 const SMDS_MeshNode* n2,
2036 const SMDS_MeshNode* n3,
2037 const SMDS_MeshNode* n4,
2038 const SMDS_MeshNode* n5,
2039 const SMDS_MeshNode* n6,
2043 SMESHDS_Mesh * meshDS = GetMeshDS();
2044 SMDS_MeshVolume* elem = 0;
2045 if(!myCreateQuadratic) {
2047 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2049 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2052 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2053 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2054 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2056 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2057 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2058 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2060 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2061 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2062 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2065 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2066 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2068 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2069 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2071 if ( mySetElemOnShape && myShapeID > 0 )
2072 meshDS->SetMeshElementOnShape( elem, myShapeID );
2077 //=======================================================================
2078 //function : AddVolume
2079 //purpose : Creates quadratic or linear tetrahedron
2080 //=======================================================================
2082 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2083 const SMDS_MeshNode* n2,
2084 const SMDS_MeshNode* n3,
2085 const SMDS_MeshNode* n4,
2089 SMESHDS_Mesh * meshDS = GetMeshDS();
2090 SMDS_MeshVolume* elem = 0;
2091 if(!myCreateQuadratic) {
2093 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2095 elem = meshDS->AddVolume(n1, n2, n3, n4);
2098 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2099 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2100 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2102 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2103 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2104 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2107 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2109 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2111 if ( mySetElemOnShape && myShapeID > 0 )
2112 meshDS->SetMeshElementOnShape( elem, myShapeID );
2117 //=======================================================================
2118 //function : AddVolume
2119 //purpose : Creates quadratic or linear pyramid
2120 //=======================================================================
2122 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2123 const SMDS_MeshNode* n2,
2124 const SMDS_MeshNode* n3,
2125 const SMDS_MeshNode* n4,
2126 const SMDS_MeshNode* n5,
2130 SMDS_MeshVolume* elem = 0;
2131 if(!myCreateQuadratic) {
2133 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2135 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2138 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2139 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2140 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2141 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2143 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2144 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2145 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2146 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2149 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2154 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2156 n15, n25, n35, n45);
2158 if ( mySetElemOnShape && myShapeID > 0 )
2159 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2164 //=======================================================================
2165 //function : AddVolume
2166 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2167 //=======================================================================
2169 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2170 const SMDS_MeshNode* n2,
2171 const SMDS_MeshNode* n3,
2172 const SMDS_MeshNode* n4,
2173 const SMDS_MeshNode* n5,
2174 const SMDS_MeshNode* n6,
2175 const SMDS_MeshNode* n7,
2176 const SMDS_MeshNode* n8,
2180 SMESHDS_Mesh * meshDS = GetMeshDS();
2181 SMDS_MeshVolume* elem = 0;
2182 if(!myCreateQuadratic) {
2184 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2186 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2189 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2190 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2191 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2192 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2194 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2195 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2196 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2197 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2199 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2200 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2201 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2202 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2203 if ( myCreateBiQuadratic )
2205 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2206 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2207 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2208 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2209 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2210 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2212 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2214 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2215 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2216 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2217 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2218 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2219 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2220 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2221 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2223 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2224 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2225 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2226 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2227 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2228 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2229 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2230 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2231 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2232 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2233 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2234 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2236 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2237 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2238 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2239 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2240 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2241 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2243 gp_XYZ centerCube(0.5, 0.5, 0.5);
2245 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2246 const SMDS_MeshNode* nCenter =
2247 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2248 meshDS->SetNodeInVolume( nCenter, myShapeID );
2251 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2252 n12, n23, n34, n41, n56, n67,
2253 n78, n85, n15, n26, n37, n48,
2254 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2256 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2257 n12, n23, n34, n41, n56, n67,
2258 n78, n85, n15, n26, n37, n48,
2259 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2264 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2265 n12, n23, n34, n41, n56, n67,
2266 n78, n85, n15, n26, n37, n48, id);
2268 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2269 n12, n23, n34, n41, n56, n67,
2270 n78, n85, n15, n26, n37, n48);
2273 if ( mySetElemOnShape && myShapeID > 0 )
2274 meshDS->SetMeshElementOnShape( elem, myShapeID );
2279 //=======================================================================
2280 //function : AddVolume
2281 //purpose : Creates LINEAR!!!!!!!!! octahedron
2282 //=======================================================================
2284 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2285 const SMDS_MeshNode* n2,
2286 const SMDS_MeshNode* n3,
2287 const SMDS_MeshNode* n4,
2288 const SMDS_MeshNode* n5,
2289 const SMDS_MeshNode* n6,
2290 const SMDS_MeshNode* n7,
2291 const SMDS_MeshNode* n8,
2292 const SMDS_MeshNode* n9,
2293 const SMDS_MeshNode* n10,
2294 const SMDS_MeshNode* n11,
2295 const SMDS_MeshNode* n12,
2299 SMESHDS_Mesh * meshDS = GetMeshDS();
2300 SMDS_MeshVolume* elem = 0;
2302 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2304 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2305 if ( mySetElemOnShape && myShapeID > 0 )
2306 meshDS->SetMeshElementOnShape( elem, myShapeID );
2310 //=======================================================================
2311 //function : AddPolyhedralVolume
2312 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2313 //=======================================================================
2316 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2317 const std::vector<int>& quantities,
2321 SMESHDS_Mesh * meshDS = GetMeshDS();
2322 SMDS_MeshVolume* elem = 0;
2323 if(!myCreateQuadratic)
2326 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2328 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2332 vector<const SMDS_MeshNode*> newNodes;
2333 vector<int> newQuantities;
2334 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2336 int nbNodesInFace = quantities[iFace];
2337 newQuantities.push_back(0);
2338 for ( int i = 0; i < nbNodesInFace; ++i )
2340 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2341 newNodes.push_back( n1 );
2342 newQuantities.back()++;
2344 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2345 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2346 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2348 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2349 newNodes.push_back( n12 );
2350 newQuantities.back()++;
2353 iN += nbNodesInFace;
2356 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2358 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2360 if ( mySetElemOnShape && myShapeID > 0 )
2361 meshDS->SetMeshElementOnShape( elem, myShapeID );
2368 //================================================================================
2370 * \brief Check if a node belongs to any face of sub-mesh
2372 //================================================================================
2374 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2376 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2377 while ( fIt->more() )
2378 if ( sm->Contains( fIt->next() ))
2384 //=======================================================================
2385 //function : IsSameElemGeometry
2386 //purpose : Returns true if all elements of a sub-mesh are of same shape
2387 //=======================================================================
2389 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2390 SMDSAbs_GeometryType shape,
2391 const bool nullSubMeshRes)
2393 if ( !smDS ) return nullSubMeshRes;
2395 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2396 while ( elemIt->more() ) {
2397 const SMDS_MeshElement* e = elemIt->next();
2398 if ( e->GetGeomType() != shape )
2404 //=======================================================================
2405 //function : LoadNodeColumns
2406 //purpose : Load nodes bound to face into a map of node columns
2407 //=======================================================================
2409 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2410 const TopoDS_Face& theFace,
2411 const TopoDS_Edge& theBaseEdge,
2412 SMESHDS_Mesh* theMesh,
2413 SMESH_ProxyMesh* theProxyMesh)
2415 return LoadNodeColumns(theParam2ColumnMap,
2417 std::list<TopoDS_Edge>(1,theBaseEdge),
2422 //=======================================================================
2423 //function : LoadNodeColumns
2424 //purpose : Load nodes bound to face into a map of node columns
2425 //=======================================================================
2427 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2428 const TopoDS_Face& theFace,
2429 const std::list<TopoDS_Edge>& theBaseSide,
2430 SMESHDS_Mesh* theMesh,
2431 SMESH_ProxyMesh* theProxyMesh)
2433 // get a right sub-mesh of theFace
2435 const SMESHDS_SubMesh* faceSubMesh = 0;
2438 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2439 if ( !faceSubMesh ||
2440 faceSubMesh->NbElements() == 0 ||
2441 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2443 // can use a proxy sub-mesh with not temporary elements only
2449 faceSubMesh = theMesh->MeshElements( theFace );
2450 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2453 if ( theParam2ColumnMap.empty() )
2455 // get data of edges for normalization of params
2456 vector< double > length;
2458 list<TopoDS_Edge>::const_iterator edge;
2460 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2462 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2464 length.push_back( len );
2468 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2469 edge = theBaseSide.begin();
2470 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2472 map< double, const SMDS_MeshNode*> sortedBaseNN;
2473 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2475 map< double, const SMDS_MeshNode*>::iterator u_n;
2476 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2477 // so the following solution is commented (hope forever :)
2479 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2480 // // SMDSAbs_Edge here is needed to be coherent with
2481 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2482 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2483 // // medium node on EDGE is medium in a triangle but not
2486 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2487 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2488 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2490 // const SMDS_MeshNode* node = u_n->second;
2491 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2492 // if ( faceIt->more() && node ) {
2493 // const SMDS_MeshElement* face = faceIt->next();
2494 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2498 // sortedBaseNN.erase( u_n++ );
2502 if ( sortedBaseNN.empty() ) continue;
2504 u_n = sortedBaseNN.begin();
2505 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2507 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2508 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2509 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2510 n2 != theProxyMesh->GetProxyNode( n2 ));
2511 if ( allNodesAreProxy )
2512 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2513 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2515 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2517 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2518 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2520 if ( !sortedBaseNN.empty() )
2521 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2523 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2524 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2526 if ( sortedBaseNN.empty() ) continue;
2530 BRep_Tool::Range( *edge, f, l );
2531 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2532 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2533 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2534 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2536 double par = prevPar + coeff * ( u_n->first - f );
2537 TParam2ColumnMap::iterator u2nn =
2538 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2539 u2nn->second.push_back( u_n->second );
2542 if ( theParam2ColumnMap.size() < 2 )
2547 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2548 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2550 // fill theParam2ColumnMap column by column by passing from nodes on
2551 // theBaseEdge up via mesh faces on theFace
2553 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2554 par_nVec_2 = theParam2ColumnMap.begin();
2555 par_nVec_1 = par_nVec_2++;
2556 TIDSortedElemSet emptySet, avoidSet;
2557 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2559 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2560 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2561 nCol1.resize( prevNbRows + expectedNbRows );
2562 nCol2.resize( prevNbRows + expectedNbRows );
2564 int i1, i2, foundNbRows = 0;
2565 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2566 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2567 // find face sharing node n1 and n2 and belonging to faceSubMesh
2568 while ( const SMDS_MeshElement* face =
2569 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2571 if ( faceSubMesh->Contains( face ))
2573 int nbNodes = face->NbCornerNodes();
2576 if ( foundNbRows + 1 > expectedNbRows )
2578 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2579 n2 = face->GetNode( (i1+2) % 4 );
2580 nCol1[ prevNbRows + foundNbRows] = n1;
2581 nCol2[ prevNbRows + foundNbRows] = n2;
2584 avoidSet.insert( face );
2586 if ( foundNbRows != expectedNbRows )
2590 return ( theParam2ColumnMap.size() > 1 &&
2591 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2596 //================================================================================
2598 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2600 //================================================================================
2602 bool isCornerOfStructure( const SMDS_MeshNode* n,
2603 const SMESHDS_SubMesh* faceSM,
2604 SMESH_MesherHelper& faceAnalyser )
2606 int nbFacesInSM = 0;
2608 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2609 while ( fIt->more() )
2610 nbFacesInSM += faceSM->Contains( fIt->next() );
2612 if ( nbFacesInSM == 1 )
2615 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2617 return faceAnalyser.IsRealSeam( n->getshapeId() );
2623 //=======================================================================
2624 //function : IsStructured
2625 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2626 //=======================================================================
2628 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2630 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2631 if ( !fSM || fSM->NbElements() == 0 )
2634 list< TopoDS_Edge > edges;
2635 list< int > nbEdgesInWires;
2636 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2637 edges, nbEdgesInWires );
2638 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2641 // algo: find corners of a structure and then analyze nb of faces and
2642 // length of structure sides
2644 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2645 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2646 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2648 // rotate edges to get the first node being at corner
2649 // (in principle it's not necessary because so far none SALOME algo can make
2650 // such a structured mesh that all corner nodes are not on VERTEXes)
2651 bool isCorner = false;
2652 int nbRemainEdges = nbEdgesInWires.front();
2654 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2655 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2658 edges.splice( edges.end(), edges, edges.begin() );
2662 while ( !isCorner && nbRemainEdges > 0 );
2667 // get all nodes from EDGEs
2668 list< const SMDS_MeshNode* > nodes;
2669 list< TopoDS_Edge >::iterator edge = edges.begin();
2670 for ( ; edge != edges.end(); ++edge )
2672 map< double, const SMDS_MeshNode* > u2Nodes;
2673 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2674 /*skipMedium=*/true, u2Nodes ))
2677 list< const SMDS_MeshNode* > edgeNodes;
2678 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2679 for ( ; u2n != u2Nodes.end(); ++u2n )
2680 edgeNodes.push_back( u2n->second );
2681 if ( edge->Orientation() == TopAbs_REVERSED )
2682 edgeNodes.reverse();
2684 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2685 edgeNodes.pop_front();
2686 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2689 // get length of structured sides
2690 vector<int> nbEdgesInSide;
2692 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2693 for ( ; n != nodes.end(); ++n )
2696 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2697 nbEdgesInSide.push_back( nbEdges );
2703 if ( nbEdgesInSide.size() != 4 )
2705 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2707 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2709 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2715 //=======================================================================
2716 //function : IsDistorted2D
2717 //purpose : Return true if 2D mesh on FACE is ditorted
2718 //=======================================================================
2720 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2723 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2726 bool haveBadFaces = false;
2728 SMESH_MesherHelper helper( *faceSM->GetFather() );
2729 helper.SetSubShape( faceSM->GetSubShape() );
2731 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2732 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2733 if ( !smDS || smDS->NbElements() == 0 ) return false;
2735 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2736 double prevArea = 0;
2737 vector< const SMDS_MeshNode* > nodes;
2739 bool* toCheckUV = checkUV ? & checkUV : 0;
2740 while ( faceIt->more() && !haveBadFaces )
2742 const SMDS_MeshElement* face = faceIt->next();
2745 nodes.resize( face->NbCornerNodes() );
2746 SMDS_MeshElement::iterator n = face->begin_nodes();
2747 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2750 // avoid elems on degenarate shapes as UV on them can be wrong
2751 if ( helper.HasDegeneratedEdges() )
2753 bool isOnDegen = false;
2754 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2755 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2759 // prepare to getting UVs
2760 const SMDS_MeshNode* inFaceNode = 0;
2761 if ( helper.HasSeam() ) {
2762 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2763 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2764 inFaceNode = nodes[ i ];
2769 uv.resize( nodes.size() );
2770 for ( size_t i = 0; i < nodes.size(); ++i )
2771 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2773 // compare orientation of triangles
2774 double faceArea = 0;
2775 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2777 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2778 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2779 faceArea += v2 ^ v1;
2781 haveBadFaces = ( faceArea * prevArea < 0 );
2782 prevArea = faceArea;
2785 return haveBadFaces;
2788 //================================================================================
2790 * \brief Find out elements orientation on a geometrical face
2791 * \param theFace - The face correctly oriented in the shape being meshed
2792 * \retval bool - true if the face normal and the normal of first element
2793 * in the correspoding submesh point in different directions
2795 //================================================================================
2797 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2799 if ( theFace.IsNull() )
2802 // find out orientation of a meshed face
2803 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2804 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2805 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2807 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2808 if ( !aSubMeshDSFace )
2811 // find an element on a bounday of theFace
2812 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2813 const SMDS_MeshNode* nn[2];
2814 while ( iteratorElem->more() ) // loop on elements on theFace
2816 const SMDS_MeshElement* elem = iteratorElem->next();
2817 if ( ! elem ) continue;
2819 // look for 2 nodes on EDGE
2820 int nbNodes = elem->NbCornerNodes();
2821 nn[0] = elem->GetNode( nbNodes-1 );
2822 for ( int iN = 0; iN < nbNodes; ++iN )
2824 nn[1] = elem->GetNode( iN );
2825 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2826 nn[1]->GetPosition()->GetDim() < 2 )
2828 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2829 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2830 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2831 if ( !E.IsNull() && !s0.IsSame( s1 ))
2835 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2836 if ( E.IsSame( exp.Current() )) {
2838 E = exp.Current(); // to know orientation
2843 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2844 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2847 isReversed = ( u0 > u1 );
2848 if ( E.Orientation() == TopAbs_REVERSED )
2849 isReversed = !isReversed;
2859 // find an element with a good normal
2861 bool normalOK = false;
2863 iteratorElem = aSubMeshDSFace->GetElements();
2864 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2866 const SMDS_MeshElement* elem = iteratorElem->next();
2867 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2871 // get UV of a node inside theFACE
2872 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2873 const SMDS_MeshNode* nInFace = 0;
2874 int iPosDim = SMDS_TOP_VERTEX;
2875 while ( nodesIt->more() ) // loop on nodes
2877 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2878 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2881 iPosDim = n->GetPosition()->GetTypeOfPosition();
2884 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2889 // face normal at node position
2890 TopLoc_Location loc;
2891 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2892 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2893 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2894 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2897 gp_Vec d1u, d1v; gp_Pnt p;
2898 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2899 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2901 if ( theFace.Orientation() == TopAbs_REVERSED )
2904 return Ne * Nf < 0.;
2907 //=======================================================================
2909 //purpose : Count nb of sub-shapes
2910 //=======================================================================
2912 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2913 const TopAbs_ShapeEnum type,
2914 const bool ignoreSame)
2917 TopTools_IndexedMapOfShape map;
2918 TopExp::MapShapes( shape, type, map );
2919 return map.Extent();
2923 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2929 //=======================================================================
2930 //function : NbAncestors
2931 //purpose : Return number of unique ancestors of the shape
2932 //=======================================================================
2934 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2935 const SMESH_Mesh& mesh,
2936 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2938 TopTools_MapOfShape ancestors;
2939 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2940 for ( ; ansIt.More(); ansIt.Next() ) {
2941 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2942 ancestors.Add( ansIt.Value() );
2944 return ancestors.Extent();
2947 //=======================================================================
2948 //function : GetSubShapeOri
2949 //purpose : Return orientation of sub-shape in the main shape
2950 //=======================================================================
2952 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2953 const TopoDS_Shape& subShape)
2955 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2956 if ( !shape.IsNull() && !subShape.IsNull() )
2958 TopExp_Explorer e( shape, subShape.ShapeType() );
2959 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2960 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2961 for ( ; e.More(); e.Next())
2962 if ( subShape.IsSame( e.Current() ))
2965 ori = e.Current().Orientation();
2970 //=======================================================================
2971 //function : IsSubShape
2973 //=======================================================================
2975 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2976 const TopoDS_Shape& mainShape )
2978 if ( !shape.IsNull() && !mainShape.IsNull() )
2980 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2983 if ( shape.IsSame( exp.Current() ))
2986 SCRUTE((shape.IsNull()));
2987 SCRUTE((mainShape.IsNull()));
2991 //=======================================================================
2992 //function : IsSubShape
2994 //=======================================================================
2996 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2998 if ( shape.IsNull() || !aMesh )
3001 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3003 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3006 //=======================================================================
3007 //function : IsBlock
3009 //=======================================================================
3011 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3013 if ( shape.IsNull() )
3017 TopExp_Explorer exp( shape, TopAbs_SHELL );
3018 if ( !exp.More() ) return false;
3019 shell = TopoDS::Shell( exp.Current() );
3020 if ( exp.Next(), exp.More() ) return false;
3023 TopTools_IndexedMapOfOrientedShape map;
3024 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3028 //================================================================================
3030 * \brief Return maximal tolerance of shape
3032 //================================================================================
3034 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3036 double tol = Precision::Confusion();
3037 TopExp_Explorer exp;
3038 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3039 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3040 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3041 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3042 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3043 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3048 //================================================================================
3050 * \brief Return MaxTolerance( face ), probably cached
3052 //================================================================================
3054 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3056 int faceID = GetMeshDS()->ShapeToIndex( face );
3058 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3059 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3061 tol = MaxTolerance( face );
3066 //================================================================================
3068 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3069 * of the FACE normal
3070 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3071 * 1e100 in case of failure
3072 * \waring Care about order of the EDGEs and their orientation to be as they are
3073 * within the FACE! Don't pass degenerated EDGEs neither!
3075 //================================================================================
3077 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3078 const TopoDS_Edge & theE2,
3079 const TopoDS_Face & theFace,
3080 const TopoDS_Vertex & theCommonV,
3081 gp_Vec* theFaceNormal)
3083 double angle = 1e100;
3087 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3088 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3089 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3090 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3091 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3092 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3093 if ( c1.IsNull() || c2.IsNull() )
3095 gp_XY uv = c2d1->Value( p1 ).XY();
3096 gp_Vec du, dv; gp_Pnt p;
3097 surf->D1( uv.X(), uv.Y(), p, du, dv );
3098 gp_Vec vec1, vec2, vecRef = du ^ dv;
3101 while ( vecRef.SquareMagnitude() < 1e-25 )
3103 double dp = ( l - f ) / 1000.;
3104 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3105 uv = c2d1->Value( p1tmp ).XY();
3106 surf->D1( uv.X(), uv.Y(), p, du, dv );
3108 if ( ++nbLoops > 10 )
3111 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3116 if ( theFace.Orientation() == TopAbs_REVERSED )
3118 if ( theFaceNormal ) *theFaceNormal = vecRef;
3120 c1->D1( p1, p, vec1 );
3121 c2->D1( p2, p, vec2 );
3122 // TopoDS_Face F = theFace;
3123 // if ( F.Orientation() == TopAbs_INTERNAL )
3124 // F.Orientation( TopAbs_FORWARD );
3125 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3127 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3129 angle = vec1.AngleWithRef( vec2, vecRef );
3131 if ( Abs ( angle ) >= 0.99 * M_PI )
3133 BRep_Tool::Range( theE1, f, l );
3134 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3135 c1->D1( p1, p, vec1 );
3136 if ( theE1.Orientation() == TopAbs_REVERSED )
3138 BRep_Tool::Range( theE2, f, l );
3139 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3140 c2->D1( p2, p, vec2 );
3141 if ( theE2.Orientation() == TopAbs_REVERSED )
3143 angle = vec1.AngleWithRef( vec2, vecRef );
3152 //================================================================================
3154 * \brief Check if the first and last vertices of an edge are the same
3155 * \param anEdge - the edge to check
3156 * \retval bool - true if same
3158 //================================================================================
3160 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3162 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3163 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3164 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3167 //================================================================================
3169 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3170 * in the case of INTERNAL edge
3172 //================================================================================
3174 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3178 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3179 anEdge.Orientation( TopAbs_FORWARD );
3181 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3182 TopoDS_Iterator vIt( anEdge, CumOri );
3183 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3186 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3189 //================================================================================
3191 * \brief Return type of shape contained in a group
3192 * \param group - a shape of type TopAbs_COMPOUND
3193 * \param avoidCompound - not to return TopAbs_COMPOUND
3195 //================================================================================
3197 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3198 const bool avoidCompound)
3200 if ( !group.IsNull() )
3202 if ( group.ShapeType() != TopAbs_COMPOUND )
3203 return group.ShapeType();
3205 // iterate on a compound
3206 TopoDS_Iterator it( group );
3208 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3210 return TopAbs_SHAPE;
3213 //================================================================================
3215 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3216 * \param [in] hyp - the hypothesis
3217 * \param [in] shape - the shape, for meshing which the \a hyp is used
3218 * \param [in] mesh - the mesh
3219 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3221 //================================================================================
3223 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3224 const TopoDS_Shape& shape,
3227 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3228 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3230 TopoDS_Shape shapeOfHyp;
3231 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3235 //=======================================================================
3236 //function : IsQuadraticMesh
3237 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3238 // quadratic elements will be created.
3239 // Used then generated 3D mesh without geometry.
3240 //=======================================================================
3242 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3244 int NbAllEdgsAndFaces=0;
3245 int NbQuadFacesAndEdgs=0;
3246 int NbFacesAndEdges=0;
3247 //All faces and edges
3248 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3249 if ( NbAllEdgsAndFaces == 0 )
3250 return SMESH_MesherHelper::LINEAR;
3252 //Quadratic faces and edges
3253 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3255 //Linear faces and edges
3256 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3258 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3260 return SMESH_MesherHelper::QUADRATIC;
3262 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3264 return SMESH_MesherHelper::LINEAR;
3267 //Mesh with both type of elements
3268 return SMESH_MesherHelper::COMP;
3271 //=======================================================================
3272 //function : GetOtherParam
3273 //purpose : Return an alternative parameter for a node on seam
3274 //=======================================================================
3276 double SMESH_MesherHelper::GetOtherParam(const double param) const
3278 int i = myParIndex & U_periodic ? 0 : 1;
3279 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3284 //=======================================================================
3286 * \brief Iterator on ancestors of the given type
3288 //=======================================================================
3290 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3292 TopTools_ListIteratorOfListOfShape _ancIter;
3293 TopAbs_ShapeEnum _type;
3294 TopTools_MapOfShape _encountered;
3295 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3296 : _ancIter( ancestors ), _type( type )
3298 if ( _ancIter.More() ) {
3299 if ( _ancIter.Value().ShapeType() != _type ) next();
3300 else _encountered.Add( _ancIter.Value() );
3305 return _ancIter.More();
3307 virtual const TopoDS_Shape* next()
3309 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3310 if ( _ancIter.More() )
3311 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3312 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3320 //=======================================================================
3322 * \brief Return iterator on ancestors of the given type
3324 //=======================================================================
3326 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3327 const SMESH_Mesh& mesh,
3328 TopAbs_ShapeEnum ancestorType)
3330 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3333 //=======================================================================
3334 //function : GetCommonAncestor
3335 //purpose : Find a common ancestors of two shapes of the given type
3336 //=======================================================================
3338 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3339 const TopoDS_Shape& shape2,
3340 const SMESH_Mesh& mesh,
3341 TopAbs_ShapeEnum ancestorType)
3343 TopoDS_Shape commonAnc;
3344 if ( !shape1.IsNull() && !shape2.IsNull() )
3346 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3348 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3351 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3352 while ( const TopoDS_Shape* anc = ancIt->next() )
3353 if ( IsSubShape( shape2, *anc ))
3362 //#include <Perf_Meter.hxx>
3364 //=======================================================================
3365 namespace { // Structures used by FixQuadraticElements()
3366 //=======================================================================
3368 #define __DMP__(txt) \
3370 #define MSG(txt) __DMP__(txt<<endl)
3371 #define MSGBEG(txt) __DMP__(txt)
3373 //const double straightTol2 = 1e-33; // to detect straing links
3374 bool isStraightLink(double linkLen2, double middleNodeMove2)
3376 // straight if <node move> < 1/15 * <link length>
3377 return middleNodeMove2 < 1/15./15. * linkLen2;
3381 // ---------------------------------------
3383 * \brief Quadratic link knowing its faces
3385 struct QLink: public SMESH_TLink
3387 const SMDS_MeshNode* _mediumNode;
3388 mutable vector<const QFace* > _faces;
3389 mutable gp_Vec _nodeMove;
3390 mutable int _nbMoves;
3391 mutable bool _is2dFixed; // is moved along surface or in 3D
3393 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3394 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3396 _nodeMove = MediumPnt() - MiddlePnt();
3397 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3399 void SetContinuesFaces() const;
3400 const QFace* GetContinuesFace( const QFace* face ) const;
3401 bool OnBoundary() const;
3402 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3403 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3405 SMDS_TypeOfPosition MediumPos() const
3406 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3407 SMDS_TypeOfPosition EndPos(bool isSecond) const
3408 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3409 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3410 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3412 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3413 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3414 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3415 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3416 bool IsFixedOnSurface() const { return _is2dFixed; }
3417 bool IsStraight() const
3418 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3419 _nodeMove.SquareMagnitude());
3421 bool operator<(const QLink& other) const {
3422 return (node1()->GetID() == other.node1()->GetID() ?
3423 node2()->GetID() < other.node2()->GetID() :
3424 node1()->GetID() < other.node1()->GetID());
3426 // struct PtrComparator {
3427 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3430 // ---------------------------------------------------------
3432 * \brief Link in the chain of links; it connects two faces
3436 const QLink* _qlink;
3437 mutable const QFace* _qfaces[2];
3439 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3440 _qfaces[0] = _qfaces[1] = 0;
3442 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3444 bool IsBoundary() const { return !_qfaces[1]; }
3446 void RemoveFace( const QFace* face ) const
3447 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3449 const QFace* NextFace( const QFace* f ) const
3450 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3452 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3453 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3455 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3457 operator bool() const { return (_qlink); }
3459 const QLink* operator->() const { return _qlink; }
3461 gp_Vec Normal() const;
3463 bool IsStraight() const;
3465 // --------------------------------------------------------------------
3466 typedef list< TChainLink > TChain;
3467 typedef set < TChainLink > TLinkSet;
3468 typedef TLinkSet::const_iterator TLinkInSet;
3470 const int theFirstStep = 5;
3472 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3473 // --------------------------------------------------------------------
3475 * \brief Quadratic face shared by two volumes and bound by QLinks
3477 struct QFace: public TIDSortedNodeSet
3479 mutable const SMDS_MeshElement* _volumes[2];
3480 mutable vector< const QLink* > _sides;
3481 mutable bool _sideIsAdded[4]; // added in chain of links
3484 mutable const SMDS_MeshElement* _face;
3487 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3489 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3491 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3493 void AddSelfToLinks() const {
3494 for ( int i = 0; i < _sides.size(); ++i )
3495 _sides[i]->_faces.push_back( this );
3497 int LinkIndex( const QLink* side ) const {
3498 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3501 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3503 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3505 int i = LinkIndex( link._qlink );
3506 if ( i < 0 ) return true;
3507 _sideIsAdded[i] = true;
3508 link.SetFace( this );
3509 // continue from opposite link
3510 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3512 bool IsBoundary() const { return !_volumes[1]; }
3514 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3516 bool IsSpoiled(const QLink* bentLink ) const;
3518 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3519 const TChainLink& avoidLink,
3520 TLinkInSet * notBoundaryLink = 0,
3521 const SMDS_MeshNode* nodeToContain = 0,
3522 bool * isAdjacentUsed = 0,
3523 int nbRecursionsLeft = -1) const;
3525 TLinkInSet GetLinkByNode( const TLinkSet& links,
3526 const TChainLink& avoidLink,
3527 const SMDS_MeshNode* nodeToContain) const;
3529 const SMDS_MeshNode* GetNodeInFace() const {
3530 for ( int iL = 0; iL < _sides.size(); ++iL )
3531 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3535 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3537 double MoveByBoundary( const TChainLink& theLink,
3538 const gp_Vec& theRefVec,
3539 const TLinkSet& theLinks,
3540 SMESH_MesherHelper* theFaceHelper=0,
3541 const double thePrevLen=0,
3542 const int theStep=theFirstStep,
3543 gp_Vec* theLinkNorm=0,
3544 double theSign=1.0) const;
3547 //================================================================================
3549 * \brief Dump QLink and QFace
3551 ostream& operator << (ostream& out, const QLink& l)
3553 out <<"QLink nodes: "
3554 << l.node1()->GetID() << " - "
3555 << l._mediumNode->GetID() << " - "
3556 << l.node2()->GetID() << endl;
3559 ostream& operator << (ostream& out, const QFace& f)
3561 out <<"QFace nodes: "/*<< &f << " "*/;
3562 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3563 out << (*n)->GetID() << " ";
3564 out << " \tvolumes: "
3565 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3566 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3567 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3571 //================================================================================
3573 * \brief Construct QFace from QLinks
3575 //================================================================================
3577 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3579 _volumes[0] = _volumes[1] = 0;
3581 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3582 _normal.SetCoord(0,0,0);
3583 for ( int i = 1; i < _sides.size(); ++i ) {
3584 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3585 insert( l1->node1() ); insert( l1->node2() );
3587 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3588 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3589 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3593 double normSqSize = _normal.SquareMagnitude();
3594 if ( normSqSize > numeric_limits<double>::min() )
3595 _normal /= sqrt( normSqSize );
3597 _normal.SetCoord(1e-33,0,0);
3603 //================================================================================
3605 * \brief Make up a chain of links
3606 * \param iSide - link to add first
3607 * \param chain - chain to fill in
3608 * \param pos - postion of medium nodes the links should have
3609 * \param error - out, specifies what is wrong
3610 * \retval bool - false if valid chain can't be built; "valid" means that links
3611 * of the chain belongs to rectangles bounding hexahedrons
3613 //================================================================================
3615 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3617 if ( iSide >= _sides.size() ) // wrong argument iSide
3619 if ( _sideIsAdded[ iSide ]) // already in chain
3622 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3625 list< const QFace* > faces( 1, this );
3626 while ( !faces.empty() ) {
3627 const QFace* face = faces.front();
3628 for ( int i = 0; i < face->_sides.size(); ++i ) {
3629 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3630 face->_sideIsAdded[i] = true;
3631 // find a face side in the chain
3632 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3633 // TChain::iterator chLink = chain.begin();
3634 // for ( ; chLink != chain.end(); ++chLink )
3635 // if ( chLink->_qlink == face->_sides[i] )
3637 // if ( chLink == chain.end() )
3638 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3639 // add a face to a chained link and put a continues face in the queue
3640 chLink->SetFace( face );
3641 if ( face->_sides[i]->MediumPos() == pos )
3642 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3643 if ( contFace->_sides.size() == 3 )
3644 faces.push_back( contFace );
3649 if ( error < ERR_TRI )
3651 chain.insert( chain.end(), links.begin(),links.end() );
3654 _sideIsAdded[iSide] = true; // not to add this link to chain again
3655 const QLink* link = _sides[iSide];
3659 // add link into chain
3660 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3661 chLink->SetFace( this );
3664 // propagate from a quadrangle to neighbour faces
3665 if ( link->MediumPos() >= pos ) {
3666 int nbLinkFaces = link->_faces.size();
3667 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3668 // hexahedral mesh or boundary quadrangles - goto a continous face
3669 if ( const QFace* f = link->GetContinuesFace( this ))
3670 if ( f->_sides.size() == 4 )
3671 return f->GetLinkChain( *chLink, chain, pos, error );
3674 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3675 for ( int i = 0; i < nbLinkFaces; ++i )
3676 if ( link->_faces[i] )
3677 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3678 if ( error < ERR_PRISM )
3686 //================================================================================
3688 * \brief Return a boundary link of the triangle face
3689 * \param links - set of all links
3690 * \param avoidLink - link not to return
3691 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3692 * \param nodeToContain - node the returned link must contain; if provided, search
3693 * also performed on adjacent faces
3694 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3695 * \param nbRecursionsLeft - to limit recursion
3697 //================================================================================
3699 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3700 const TChainLink& avoidLink,
3701 TLinkInSet * notBoundaryLink,
3702 const SMDS_MeshNode* nodeToContain,
3703 bool * isAdjacentUsed,
3704 int nbRecursionsLeft) const
3706 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3708 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3709 TFaceLinkList adjacentFaces;
3711 for ( int iL = 0; iL < _sides.size(); ++iL )
3713 if ( avoidLink._qlink == _sides[iL] )
3715 TLinkInSet link = links.find( _sides[iL] );
3716 if ( link == linksEnd ) continue;
3717 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3718 continue; // We work on faces here, don't go inside a solid
3721 if ( link->IsBoundary() ) {
3722 if ( !nodeToContain ||
3723 (*link)->node1() == nodeToContain ||
3724 (*link)->node2() == nodeToContain )
3726 boundaryLink = link;
3727 if ( !notBoundaryLink ) break;
3730 else if ( notBoundaryLink ) {
3731 *notBoundaryLink = link;
3732 if ( boundaryLink != linksEnd ) break;
3735 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3736 if ( const QFace* adj = link->NextFace( this ))
3737 if ( adj->Contains( nodeToContain ))
3738 adjacentFaces.push_back( make_pair( adj, link ));
3741 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3742 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3744 if ( nbRecursionsLeft < 0 )
3745 nbRecursionsLeft = nodeToContain->NbInverseElements();
3746 TFaceLinkList::iterator adj = adjacentFaces.begin();
3747 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3748 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3749 isAdjacentUsed, nbRecursionsLeft-1);
3750 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3752 return boundaryLink;
3754 //================================================================================
3756 * \brief Return a link ending at the given node but not avoidLink
3758 //================================================================================
3760 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3761 const TChainLink& avoidLink,
3762 const SMDS_MeshNode* nodeToContain) const
3764 for ( int i = 0; i < _sides.size(); ++i )
3765 if ( avoidLink._qlink != _sides[i] &&
3766 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3767 return links.find( _sides[ i ]);
3771 //================================================================================
3773 * \brief Return normal to the i-th side pointing outside the face
3775 //================================================================================
3777 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3779 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3780 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3781 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3782 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3784 if ( norm * vecOut < 0 )
3786 double mag2 = norm.SquareMagnitude();
3787 if ( mag2 > numeric_limits<double>::min() )
3788 norm /= sqrt( mag2 );
3791 //================================================================================
3793 * \brief Move medium node of theLink according to its distance from boundary
3794 * \param theLink - link to fix
3795 * \param theRefVec - movement of boundary
3796 * \param theLinks - all adjacent links of continous triangles
3797 * \param theFaceHelper - helper is not used so far
3798 * \param thePrevLen - distance from the boundary
3799 * \param theStep - number of steps till movement propagation limit
3800 * \param theLinkNorm - out normal to theLink
3801 * \param theSign - 1 or -1 depending on movement of boundary
3802 * \retval double - distance from boundary to propagation limit or other boundary
3804 //================================================================================
3806 double QFace::MoveByBoundary( const TChainLink& theLink,
3807 const gp_Vec& theRefVec,
3808 const TLinkSet& theLinks,
3809 SMESH_MesherHelper* theFaceHelper,
3810 const double thePrevLen,
3812 gp_Vec* theLinkNorm,
3813 double theSign) const
3816 return thePrevLen; // propagation limit reached
3818 int iL; // index of theLink
3819 for ( iL = 0; iL < _sides.size(); ++iL )
3820 if ( theLink._qlink == _sides[ iL ])
3823 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3824 <<" thePrevLen " << thePrevLen);
3825 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3827 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3828 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3829 if ( theStep == theFirstStep )
3830 theSign = refProj < 0. ? -1. : 1.;
3831 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3832 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3834 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3835 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3836 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3838 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3839 bool isBndLink1 = true, isBndLink2 = true;
3840 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3842 f1 = link1->NextFace( this );
3843 f2 = link2->NextFace( this );
3845 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3846 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3847 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3849 if ( !isBndLink1 && !f1 )
3850 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3851 if ( !isBndLink2 && !f2 )
3852 f2 = (*link2)->GetContinuesFace( this );
3855 else if ( _sides.size() < 4 )
3858 // propagate to adjacent faces till limit step or boundary
3859 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3860 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3861 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3862 gp_Vec linkDir2(0,0,0);
3865 if ( f1 && !isBndLink1 )
3866 len1 = f1->MoveByBoundary
3867 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3869 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3871 MSG( " --------------- EXCEPTION");
3876 if ( f2 && !isBndLink2 )
3877 len2 = f2->MoveByBoundary
3878 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3880 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3882 MSG( " --------------- EXCEPTION");
3887 if ( theStep != theFirstStep )
3889 // choose chain length by direction of propagation most codirected with theRefVec
3890 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3891 fullLen = choose1 ? len1 : len2;
3892 double r = thePrevLen / fullLen;
3894 gp_Vec move = linkNorm * refProj * ( 1 - r );
3895 theLink->Move( move, /*sum=*/true );
3897 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3898 " by " << refProj * ( 1 - r ) << " following " <<
3899 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3901 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3906 //================================================================================
3908 * \brief Checks if the face is distorted due to bentLink
3910 //================================================================================
3912 bool QFace::IsSpoiled(const QLink* bentLink ) const
3914 // code is valid for convex faces only
3916 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3917 gc += XYZ( *n ) / size();
3918 for (unsigned i = 0; i < _sides.size(); ++i )
3920 if ( _sides[i] == bentLink ) continue;
3921 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3922 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3923 if ( linkNorm * vecOut < 0 )
3925 double mag2 = linkNorm.SquareMagnitude();
3926 if ( mag2 > numeric_limits<double>::min() )
3927 linkNorm /= sqrt( mag2 );
3928 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3929 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3930 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3937 //================================================================================
3939 * \brief Find pairs of continues faces
3941 //================================================================================
3943 void QLink::SetContinuesFaces() const
3945 // x0 x - QLink, [-|] - QFace, v - volume
3947 // | Between _faces of link x2 two vertical faces are continues
3948 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3949 // | to _faces[0] and _faces[1] and horizontal faces to
3950 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3953 if ( _faces.empty() )
3955 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3956 if ( _faces[0]->IsBoundary() )
3957 iBoundary[ nbBoundary++ ] = 0;
3958 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3960 // look for a face bounding none of volumes bound by _faces[0]
3961 bool sameVol = false;
3962 int nbVol = _faces[iF]->NbVolumes();
3963 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3964 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3965 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3968 if ( _faces[iF]->IsBoundary() )
3969 iBoundary[ nbBoundary++ ] = iF;
3971 // Set continues faces: arrange _faces to have
3972 // _faces[0] continues to _faces[1]
3973 // _faces[2] continues to _faces[3]
3974 if ( nbBoundary == 2 ) // bnd faces are continues
3976 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3978 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3979 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3982 else if ( iFaceCont > 0 ) // continues faces found
3984 if ( iFaceCont != 1 )
3985 std::swap( _faces[1], _faces[iFaceCont] );
3987 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3989 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3992 //================================================================================
3994 * \brief Return a face continues to the given one
3996 //================================================================================
3998 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4000 for ( int i = 0; i < _faces.size(); ++i ) {
4001 if ( _faces[i] == face ) {
4002 int iF = i < 2 ? 1-i : 5-i;
4003 return iF < _faces.size() ? _faces[iF] : 0;
4008 //================================================================================
4010 * \brief True if link is on mesh boundary
4012 //================================================================================
4014 bool QLink::OnBoundary() const
4016 for ( int i = 0; i < _faces.size(); ++i )
4017 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4020 //================================================================================
4022 * \brief Return normal of link of the chain
4024 //================================================================================
4026 gp_Vec TChainLink::Normal() const {
4028 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4029 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4032 //================================================================================
4034 * \brief Test link curvature taking into account size of faces
4036 //================================================================================
4038 bool TChainLink::IsStraight() const
4040 bool isStraight = _qlink->IsStraight();
4041 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4043 int i = _qfaces[0]->LinkIndex( _qlink );
4044 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4045 gp_XYZ mid1 = _qlink->MiddlePnt();
4046 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4047 double faceSize2 = (mid1-mid2).SquareModulus();
4048 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4053 //================================================================================
4055 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4057 //================================================================================
4059 void fixPrism( TChain& allLinks )
4061 // separate boundary links from internal ones
4062 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4063 QLinkSet interLinks, bndLinks1, bndLink2;
4065 bool isCurved = false;
4066 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4067 if ( (*lnk)->OnBoundary() )
4068 bndLinks1.insert( lnk->_qlink );
4070 interLinks.insert( lnk->_qlink );
4071 isCurved = isCurved || !lnk->IsStraight();
4074 return; // no need to move
4076 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4078 while ( !interLinks.empty() && !curBndLinks->empty() )
4080 // propagate movement from boundary links to connected internal links
4081 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4082 for ( ; bnd != bndEnd; ++bnd )
4084 const QLink* bndLink = *bnd;
4085 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4087 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4088 if ( !face ) continue;
4089 // find and move internal link opposite to bndLink within the face
4090 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4091 const QLink* interLink = face->_sides[ interInd ];
4092 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4093 if ( pInterLink == interLinks.end() ) continue; // not internal link
4094 interLink->Move( bndLink->_nodeMove );
4095 // treated internal links become new boundary ones
4096 interLinks.erase( pInterLink );
4097 newBndLinks->insert( interLink );
4100 curBndLinks->clear();
4101 std::swap( curBndLinks, newBndLinks );
4105 //================================================================================
4107 * \brief Fix links of continues triangles near curved boundary
4109 //================================================================================
4111 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4113 if ( allLinks.empty() ) return;
4115 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4116 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4118 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4120 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4122 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4123 const QFace* face = linkIt->_qfaces[0];
4124 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4125 face->_sides[1]->MiddlePnt() +
4126 face->_sides[2]->MiddlePnt() ) / 3.;
4127 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4128 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4129 //if ( face->IsSpoiled( linkIt->_qlink ))
4130 if ( linkBentInside )
4131 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4136 //================================================================================
4138 * \brief Detect rectangular structure of links and build chains from them
4140 //================================================================================
4142 enum TSplitTriaResult {
4143 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4144 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4146 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4147 vector< TChain> & resultChains,
4148 SMDS_TypeOfPosition pos )
4150 // put links in the set and evalute number of result chains by number of boundary links
4153 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4154 linkSet.insert( *lnk );
4155 nbBndLinks += lnk->IsBoundary();
4157 resultChains.clear();
4158 resultChains.reserve( nbBndLinks / 2 );
4160 TLinkInSet linkIt, linksEnd = linkSet.end();
4162 // find a boundary link with corner node; corner node has position pos-2
4163 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4165 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4166 const SMDS_MeshNode* corner = 0;
4167 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4168 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4173 TLinkInSet startLink = linkIt;
4174 const SMDS_MeshNode* startCorner = corner;
4175 vector< TChain* > rowChains;
4178 while ( startLink != linksEnd) // loop on columns
4180 // We suppose we have a rectangular structure like shown here. We have found a
4181 // corner of the rectangle (startCorner) and a boundary link sharing
4182 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4183 // --o---o---o structure making several chains at once. One chain (columnChain)
4184 // |\ | /| starts at startLink and continues upward (we look at the structure
4185 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4186 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4187 // --o---o---o encounter.
4189 // / | \ | \ | startCorner
4194 if ( resultChains.size() == nbBndLinks / 2 )
4196 resultChains.push_back( TChain() );
4197 TChain& columnChain = resultChains.back();
4199 TLinkInSet botLink = startLink; // current horizontal link to go up from
4200 corner = startCorner; // current corner the botLink ends at
4202 while ( botLink != linksEnd ) // loop on rows
4204 // add botLink to the columnChain
4205 columnChain.push_back( *botLink );
4207 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4209 { // the column ends
4210 if ( botLink == startLink )
4211 return _TWISTED_CHAIN; // issue 0020951
4212 linkSet.erase( botLink );
4213 if ( iRow != rowChains.size() )
4214 return _FEW_ROWS; // different nb of rows in columns
4217 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4218 // link ending at <corner> (sideLink); there are two cases:
4219 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4220 // since midQuadLink is not at boundary while sideLink is.
4221 // 2) midQuadLink ends at <corner>
4223 TLinkInSet midQuadLink = linksEnd;
4224 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4226 if ( isCase2 ) { // find midQuadLink among links of botTria
4227 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4228 if ( midQuadLink->IsBoundary() )
4229 return _BAD_MIDQUAD;
4231 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4232 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4235 columnChain.push_back( *midQuadLink );
4236 if ( iRow >= rowChains.size() ) {
4238 return _MANY_ROWS; // different nb of rows in columns
4239 if ( resultChains.size() == nbBndLinks / 2 )
4241 resultChains.push_back( TChain() );
4242 rowChains.push_back( & resultChains.back() );
4244 rowChains[iRow]->push_back( *sideLink );
4245 rowChains[iRow]->push_back( *midQuadLink );
4247 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4251 // prepare startCorner and startLink for the next column
4252 startCorner = startLink->NextNode( startCorner );
4254 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4256 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4257 // check if no more columns remains
4258 if ( startLink != linksEnd ) {
4259 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4260 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4261 startLink = linksEnd; // startLink bounds upTria or botTria
4262 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4266 // find bottom link and corner for the next row
4267 corner = sideLink->NextNode( corner );
4268 // next bottom link ends at the new corner
4269 linkSet.erase( botLink );
4270 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4271 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4273 if ( midQuadLink == startLink || sideLink == startLink )
4274 return _TWISTED_CHAIN; // issue 0020951
4275 linkSet.erase( midQuadLink );
4276 linkSet.erase( sideLink );
4278 // make faces neighboring the found ones be boundary
4279 if ( startLink != linksEnd ) {
4280 const QFace* tria = isCase2 ? botTria : upTria;
4281 for ( int iL = 0; iL < 3; ++iL ) {
4282 linkIt = linkSet.find( tria->_sides[iL] );
4283 if ( linkIt != linksEnd )
4284 linkIt->RemoveFace( tria );
4287 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4288 botLink->RemoveFace( upTria ); // make next botTria first in vector
4295 // In the linkSet, there must remain the last links of rowChains; add them
4296 if ( linkSet.size() != rowChains.size() )
4297 return _BAD_SET_SIZE;
4298 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
4299 // find the link (startLink) ending at startCorner
4301 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4302 if ( (*startLink)->node1() == startCorner ) {
4303 corner = (*startLink)->node2(); break;
4305 else if ( (*startLink)->node2() == startCorner) {
4306 corner = (*startLink)->node1(); break;
4309 if ( startLink == linksEnd )
4311 rowChains[ iRow ]->push_back( *startLink );
4312 linkSet.erase( startLink );
4313 startCorner = corner;
4319 //================================================================================
4321 * \brief Place medium nodes at the link middle for elements whose corner nodes
4322 * are out of geometrical boundary to prevent distorting elements.
4323 * Issue 0020982, note 0013990
4325 //================================================================================
4327 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4328 SMESH_ComputeErrorPtr& theError)
4330 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4331 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4332 if ( shape.IsNull() ) return;
4334 if ( !theError ) theError = SMESH_ComputeError::New();
4338 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4340 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4342 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4343 if ( !faceSM ) return;
4345 const TopoDS_Face& face = TopoDS::Face( shape );
4346 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4348 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4349 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4351 // check if the EDGE needs checking
4352 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4353 if ( SMESH_Algo::isDegenerated( edge ) )
4355 if ( theHelper.IsRealSeam( edge ) &&
4356 edge.Orientation() == TopAbs_REVERSED )
4359 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4360 if ( !edgeSM ) continue;
4363 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4364 BRepAdaptor_Curve curve3D( edge );
4365 switch ( curve3D.GetType() ) {
4366 case GeomAbs_Line: continue;
4367 case GeomAbs_Circle:
4368 case GeomAbs_Ellipse:
4369 case GeomAbs_Hyperbola:
4370 case GeomAbs_Parabola:
4373 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4374 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4375 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4376 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4377 gp_Vec fNorm = Du1 ^ Dv1;
4378 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4379 continue; // face is normal to the curve3D
4381 gp_Vec curvNorm = fNorm ^ D1;
4382 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4383 if ( curvNorm * D2 > 0 )
4384 continue; // convex edge
4386 catch ( Standard_Failure )
4391 // get nodes shared by faces that may be distorted
4392 SMDS_NodeIteratorPtr nodeIt;
4393 if ( edgeSM->NbNodes() > 0 ) {
4394 nodeIt = edgeSM->GetNodes();
4397 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4399 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4400 if ( !vertexSM ) continue;
4401 nodeIt = vertexSM->GetNodes();
4404 // find suspicious faces
4405 TIDSortedElemSet checkedFaces;
4406 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4407 const SMDS_MeshNode* nOnFace;
4408 while ( nodeIt->more() )
4410 const SMDS_MeshNode* n = nodeIt->next();
4411 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4412 while ( faceIt->more() )
4414 const SMDS_MeshElement* f = faceIt->next();
4415 if ( !faceSM->Contains( f ) ||
4416 f->NbNodes() < 6 || // check quadratic triangles only
4417 !checkedFaces.insert( f ).second )
4420 // get nodes on EDGE and on FACE of a suspicious face
4421 nOnEdge.clear(); nOnFace = 0;
4422 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4423 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4426 if ( n->GetPosition()->GetDim() == 2 )
4429 nOnEdge.push_back( n );
4432 // check if nOnFace is inside the FACE
4433 if ( nOnFace && nOnEdge.size() == 2 )
4435 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4436 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4438 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4439 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4440 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4441 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4442 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4443 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4444 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4445 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4446 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4448 // nOnFace is out of FACE, move a medium on-edge node to the middle
4449 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4450 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4451 MSG( "move OUT of face " << n );
4452 theError->myBadElements.push_back( f );
4458 if ( !theError->myBadElements.empty() )
4459 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4462 } // 2D ==============================================================================
4464 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4466 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4467 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4469 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4470 if ( !solidSM ) return;
4472 // check if the SOLID is bound by concave FACEs
4473 vector< TopoDS_Face > concaveFaces;
4474 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4475 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4477 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4478 if ( !meshDS->MeshElements( face )) continue;
4480 BRepAdaptor_Surface surface( face );
4481 switch ( surface.GetType() ) {
4482 case GeomAbs_Plane: continue;
4483 case GeomAbs_Cylinder:
4485 case GeomAbs_Sphere:
4488 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4489 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4490 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4491 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4492 gp_Vec fNorm = Du1 ^ Dv1;
4493 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4494 bool concaveU = ( fNorm * Du2 > 1e-100 );
4495 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4496 if ( concaveU || concaveV )
4497 concaveFaces.push_back( face );
4499 catch ( Standard_Failure )
4501 concaveFaces.push_back( face );
4505 if ( concaveFaces.empty() )
4508 // fix 2D mesh on the SOLID
4509 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4511 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4512 faceHelper.SetSubShape( faceIt.Current() );
4513 force3DOutOfBoundary( faceHelper, theError );
4516 // get an iterator over faces on concaveFaces
4517 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4518 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4519 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4520 typedef SMDS_IteratorOnIterators
4521 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4522 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4524 // a seacher to check if a volume is close to a concave face
4525 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4526 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4529 //BRepClass3d_SolidClassifier solidClassifier( shape );
4531 TIDSortedElemSet checkedVols, movedNodes;
4532 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4533 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4535 //const TopoDS_Shape& face = faceIt.Current();
4536 const TopoDS_Shape& face = concaveFaces[ iF ];
4537 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4538 if ( !faceSM ) continue;
4540 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4541 SMDS_NodeIteratorPtr nodeIt;
4542 if ( faceSM->NbNodes() > 0 ) {
4543 nodeIt = faceSM->GetNodes();
4546 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4547 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4548 if ( !vertexSM ) continue;
4549 nodeIt = vertexSM->GetNodes();
4551 // get ids of sub-shapes of the FACE
4553 SMESH_subMeshIteratorPtr smIt =
4554 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4555 while ( smIt->more() )
4556 subIDs.insert( smIt->next()->GetId() );
4558 // find suspicious volumes adjacent to the FACE
4559 vector< const SMDS_MeshNode* > nOnFace( 4 );
4560 const SMDS_MeshNode* nInSolid;
4561 while ( nodeIt->more() )
4563 const SMDS_MeshNode* n = nodeIt->next();
4564 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4565 while ( volIt->more() )
4567 const SMDS_MeshElement* vol = volIt->next();
4568 int nbN = vol->NbCornerNodes();
4569 if ( ( nbN != 4 && nbN != 5 ) ||
4570 !solidSM->Contains( vol ) ||
4571 !checkedVols.insert( vol ).second )
4574 // get nodes on FACE and in SOLID of a suspicious volume
4575 nOnFace.clear(); nInSolid = 0;
4576 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4577 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4580 if ( n->GetPosition()->GetDim() == 3 )
4582 else if ( subIDs.count( n->getshapeId() ))
4583 nOnFace.push_back( n );
4587 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4590 // get size of the vol
4591 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4592 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4593 for ( size_t i = 1; i < nOnFace.size(); ++i )
4595 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4598 // check if vol is close to concaveFaces
4599 const SMDS_MeshElement* closeFace =
4600 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4602 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4605 // check if vol is distorted, i.e. a medium node is much closer
4606 // to nInSolid than the link middle
4607 bool isDistorted = false;
4608 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4609 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4611 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4612 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4613 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4614 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4616 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4617 TLinkNodeMap::const_iterator linkIt =
4618 theHelper.GetTLinkNodeMap().find( link );
4619 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4621 links.push_back( make_pair( linkIt->first, linkIt->second ));
4622 if ( !isDistorted ) {
4623 // compare projections of nInSolid and nMedium to face normal
4624 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4625 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4626 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4627 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4631 // move medium nodes to link middle
4634 for ( size_t i = 0; i < links.size(); ++i )
4636 const SMDS_MeshNode* nMedium = links[i].second;
4637 if ( movedNodes.insert( nMedium ).second )
4639 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4640 SMESH_TNodeXYZ( links[i].first.node2() ));
4641 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4642 MSG( "move OUT of solid " << nMedium );
4645 theError->myBadElements.push_back( vol );
4647 } // loop on volumes sharing a node on FACE
4648 } // loop on nodes on FACE
4649 } // loop on FACEs of a SOLID
4651 if ( !theError->myBadElements.empty() )
4652 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4658 //=======================================================================
4660 * \brief Move medium nodes of faces and volumes to fix distorted elements
4661 * \param error - container of fixed distorted elements
4662 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4664 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4666 //=======================================================================
4668 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4671 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4672 if ( getenv("NO_FixQuadraticElements") )
4675 // 0. Apply algorithm to SOLIDs or FACEs
4676 // ----------------------------------------------
4677 if ( myShape.IsNull() ) {
4678 if ( !myMesh->HasShapeToMesh() ) return;
4679 SetSubShape( myMesh->GetShapeToMesh() );
4683 TopTools_IndexedMapOfShape solids;
4684 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4685 nbSolids = solids.Extent();
4687 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4688 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4689 faces.Add( f.Current() ); // not in solid
4691 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4692 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4693 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4694 faces.Add( f.Current() ); // in not meshed solid
4696 else { // fix nodes in the solid and its faces
4698 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4700 SMESH_MesherHelper h(*myMesh);
4701 h.SetSubShape( s.Current() );
4702 h.ToFixNodeParameters(true);
4703 h.FixQuadraticElements( compError, false );
4706 // fix nodes on geom faces
4708 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4710 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4711 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4712 SMESH_MesherHelper h(*myMesh);
4713 h.SetSubShape( fIt.Key() );
4714 h.ToFixNodeParameters(true);
4715 h.FixQuadraticElements( compError, true);
4717 //perf_print_all_meters(1);
4718 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4719 compError->myComment = "during conversion to quadratic, "
4720 "some medium nodes were not placed on geometry to avoid distorting elements";
4724 // 1. Find out type of elements and get iterator on them
4725 // ---------------------------------------------------
4727 SMDS_ElemIteratorPtr elemIt;
4728 SMDSAbs_ElementType elemType = SMDSAbs_All;
4730 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4733 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4734 elemIt = smDS->GetElements();
4735 if ( elemIt->more() ) {
4736 elemType = elemIt->next()->GetType();
4737 elemIt = smDS->GetElements();
4740 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4743 // 2. Fill in auxiliary data structures
4744 // ----------------------------------
4748 set< QLink >::iterator pLink;
4749 set< QFace >::iterator pFace;
4751 bool isCurved = false;
4752 //bool hasRectFaces = false;
4753 //set<int> nbElemNodeSet;
4754 SMDS_VolumeTool volTool;
4756 TIDSortedNodeSet apexOfPyramid;
4757 const int apexIndex = 4;
4760 // Move medium nodes to the link middle for elements whose corner nodes
4761 // are out of geometrical boundary to fix distorted elements.
4762 force3DOutOfBoundary( *this, compError );
4764 if ( elemType == SMDSAbs_Volume )
4766 while ( elemIt->more() ) // loop on volumes
4768 const SMDS_MeshElement* vol = elemIt->next();
4769 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4771 double volMinSize2 = -1.;
4772 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4774 int nbN = volTool.NbFaceNodes( iF );
4775 //nbElemNodeSet.insert( nbN );
4776 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4777 vector< const QLink* > faceLinks( nbN/2 );
4778 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4781 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4782 pLink = links.insert( link ).first;
4783 faceLinks[ iN/2 ] = & *pLink;
4785 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4787 if ( !link.IsStraight() )
4788 return; // already fixed
4790 else if ( !isCurved )
4792 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4793 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4797 pFace = faces.insert( QFace( faceLinks )).first;
4798 if ( pFace->NbVolumes() == 0 )
4799 pFace->AddSelfToLinks();
4800 pFace->SetVolume( vol );
4801 // hasRectFaces = hasRectFaces ||
4802 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4803 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4806 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4808 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4809 faceNodes[4],faceNodes[6] );
4812 // collect pyramid apexes for further correction
4813 if ( vol->NbCornerNodes() == 5 )
4814 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4816 set< QLink >::iterator pLink = links.begin();
4817 for ( ; pLink != links.end(); ++pLink )
4818 pLink->SetContinuesFaces();
4822 while ( elemIt->more() ) // loop on faces
4824 const SMDS_MeshElement* face = elemIt->next();
4825 if ( !face->IsQuadratic() )
4827 //nbElemNodeSet.insert( face->NbNodes() );
4828 int nbN = face->NbNodes()/2;
4829 vector< const QLink* > faceLinks( nbN );
4830 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4833 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4834 pLink = links.insert( link ).first;
4835 faceLinks[ iN ] = & *pLink;
4837 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4838 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4839 isCurved = !link.IsStraight();
4842 pFace = faces.insert( QFace( faceLinks )).first;
4843 pFace->AddSelfToLinks();
4844 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4848 return; // no curved edges of faces
4850 // 3. Compute displacement of medium nodes
4851 // ---------------------------------------
4853 SMESH_MesherHelper faceHlp(*myMesh);
4855 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4856 TopLoc_Location loc;
4858 // not to treat boundary of volumic sub-mesh.
4859 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4860 for ( ; isInside < 2; ++isInside )
4862 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4863 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4864 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4866 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4867 if ( bool(isInside) == pFace->IsBoundary() )
4869 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4872 // make chain of links connected via continues faces
4875 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4877 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4879 vector< TChain > chains;
4880 if ( error == ERR_OK ) { // chain contains continues rectangles
4882 chains[0].splice( chains[0].begin(), rawChain );
4884 else if ( error == ERR_TRI ) { // chain contains continues triangles
4885 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4886 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4887 fixTriaNearBoundary( rawChain, *this );
4891 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4892 fixPrism( rawChain );
4898 for ( int iC = 0; iC < chains.size(); ++iC )
4900 TChain& chain = chains[iC];
4901 if ( chain.empty() ) continue;
4902 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4903 MSG("3D straight - ignore");
4906 if ( chain.front()->MediumPos() > bndPos ||
4907 chain.back() ->MediumPos() > bndPos ) {
4908 MSG("Internal chain - ignore");
4911 // mesure chain length and compute link position along the chain
4912 double chainLen = 0;
4913 vector< double > linkPos;
4914 TChain savedChain; // backup
4915 MSGBEG( "Link medium nodes: ");
4916 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4917 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4918 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4919 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4920 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4921 if ( savedChain.empty() ) savedChain = chain;
4922 link1 = chain.erase( link1 );
4923 if ( link1 == chain.end() )
4925 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4928 linkPos.push_back( chainLen );
4931 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
4936 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
4938 linkPos.push_back( chainLen );
4941 gp_Vec move0 = chain.front()->_nodeMove;
4942 gp_Vec move1 = chain.back ()->_nodeMove;
4947 // compute node displacement of end links of chain in parametric space of FACE
4948 TChainLink& linkOnFace = *(++chain.begin());
4949 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4950 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4951 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4953 face = TopoDS::Face( f );
4954 faceHlp.SetSubShape( face );
4955 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4956 //bool isStraight[2]; // commented for issue 0023118
4957 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4959 TChainLink& link = is1 ? chain.back() : chain.front();
4960 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
4961 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
4962 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
4963 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4964 // uvMove = uvm - uv12
4965 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4966 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4967 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4968 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4969 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4970 // 10 * uvMove.SquareModulus());
4972 // if ( isStraight[0] && isStraight[1] ) {
4973 // MSG("2D straight - ignore");
4974 // continue; // straight - no need to move nodes of internal links
4977 // check if a chain is already fixed
4978 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
4979 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
4980 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
4981 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4982 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4984 MSG("Already fixed - ignore");
4990 if ( isInside || face.IsNull() )
4992 // compute node displacement of end links in their local coord systems
4994 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4995 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4996 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4997 move0.Transform(trsf);
5000 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5001 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5002 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5003 move1.Transform(trsf);
5006 // compute displacement of medium nodes
5007 link2 = chain.begin();
5010 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5012 double r = linkPos[i] / chainLen;
5013 // displacement in local coord system
5014 gp_Vec move = (1. - r) * move0 + r * move1;
5015 if ( isInside || face.IsNull()) {
5016 // transform to global
5017 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5018 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5020 gp_Vec x = x01.Normalized() + x12.Normalized();
5021 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5022 } catch ( Standard_Failure ) {
5025 move.Transform(trsf);
5026 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5029 // compute 3D displacement by 2D one
5030 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5031 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5032 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5033 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5034 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5035 if ( SMDS_FacePosition* nPos =
5036 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5037 nPos->SetParameters( newUV.X(), newUV.Y() );
5039 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5040 move.SquareMagnitude())
5042 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5043 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5044 MSG( "TOO LONG MOVE \t" <<
5045 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5046 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5047 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5048 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5051 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5053 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5054 << chain.front()->_mediumNode->GetID() <<"-"
5055 << chain.back ()->_mediumNode->GetID() <<
5056 " by " << move.Magnitude());
5058 } // loop on chains of links
5059 } // loop on 2 directions of propagation from quadrangle
5061 } // fix faces and/or volumes
5066 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5067 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5068 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5069 myMesh->NbBiQuadTriangles() +
5070 myMesh->NbTriQuadraticHexas() );
5072 faceHlp.ToFixNodeParameters( true );
5074 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5075 if ( pLink->IsMoved() )
5077 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5079 // put on surface nodes on FACE but moved in 3D (23050)
5080 if ( !pLink->IsFixedOnSurface() )
5082 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5083 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5085 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5086 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5087 gp_XY uv( Precision::Infinite(), 0 );
5088 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5089 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5090 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5093 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5095 // collect bi-quadratic elements
5096 if ( toFixCentralNodes )
5098 biQuadQua = triQuadHex = 0;
5099 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5100 while ( eIt->more() )
5102 const SMDS_MeshElement* e = eIt->next();
5103 switch( e->GetEntityType() ) {
5104 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5105 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5106 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5113 // Fix positions of central nodes of bi-tri-quadratic elements
5115 // treat bi-quad quadrangles
5117 vector< const SMDS_MeshNode* > nodes( 9 );
5119 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5120 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5122 const SMDS_MeshElement* quad = *quadIt;
5125 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5127 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5128 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5129 const TopoDS_Face& F = TopoDS::Face( S );
5130 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5131 const double tol = BRep_Tool::Tolerance( F );
5133 for ( int i = 0; i < 8; ++i )
5135 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5136 // as this method is used after mesh generation, UV of nodes is not
5137 // updated according to bending links, so we update
5138 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5139 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5141 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5142 // move the central node
5143 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5144 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5145 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5149 // treat bi-quad triangles
5151 vector< const SMDS_MeshNode* > nodes;
5153 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5154 for ( ; triIt != biQuadTris.end(); ++triIt )
5156 const SMDS_MeshElement* tria = *triIt;
5158 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5159 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5160 const TopoDS_Face& F = TopoDS::Face( S );
5161 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5162 const double tol = BRep_Tool::Tolerance( F );
5165 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5167 bool uvOK = true, badTria = false;
5168 for ( int i = 0; i < 6; ++i )
5170 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5171 // as this method is used after mesh generation, UV of nodes is not
5172 // updated according to bending links, so we update
5173 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5174 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5177 // move the central node
5179 if ( !uvOK || badTria )
5181 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5182 SMESH_TNodeXYZ( nodes[4] ) +
5183 SMESH_TNodeXYZ( nodes[5] )) / 3;
5187 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5188 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5189 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5191 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5195 // treat tri-quadratic hexahedra
5197 SMDS_VolumeTool volExp;
5198 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5199 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5201 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5203 // fix nodes central in sides
5204 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5206 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5207 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5209 gp_XYZ p = calcTFI( 0.5, 0.5,
5210 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5211 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5212 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5213 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5214 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5218 // fix the volume central node
5219 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5220 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5222 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5223 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5224 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5225 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5226 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5227 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5228 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5229 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5231 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5232 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5233 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5234 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5235 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5236 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5237 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5238 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5239 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5240 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5241 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5242 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5244 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5245 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5246 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5247 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5248 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5249 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5251 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5252 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5253 GetMeshDS()->MoveNode( hexNodes[26],
5254 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());