1 // Copyright (C) 2007-2016 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) {
654 if ( !IsSubShape( V, F ))
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 );
675 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
676 for ( ; it.More(); it.Next() ) {
677 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
678 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
680 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
681 if ( !C2d.IsNull() ) {
682 double u = ( V == IthVertex( 0, edge )) ? f : l;
683 uv = C2d->Value( u );
689 if ( !uvOK && V.Orientation() == TopAbs_INTERNAL )
691 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
692 if ( n2 ) uv = GetNodeUV( F, n2 );
693 if ( Precision::IsInfinite( uv.X() ))
694 uv = projector->NextValueOfUV( uv, BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
696 uv = projector->ValueOfUV( BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
697 uvOK = ( projector->Gap() < getFaceMaxTol( F ));
701 if ( n2 && IsSeamShape( vertexID ))
703 bool isSeam = ( myShape.IsSame( F ));
705 SMESH_MesherHelper h( *myMesh );
707 isSeam = IsSeamShape( vertexID );
711 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
717 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
720 if ( check && !uvOK )
726 //=======================================================================
727 //function : CheckNodeUV
728 //purpose : Check and fix node UV on a face
729 //=======================================================================
731 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
732 const SMDS_MeshNode* n,
736 double distXYZ[4]) const
738 int shapeID = n->getshapeId();
740 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
742 ( uv.X() == 0. && uv.Y() == 0. ) ||
743 ( toCheckPosOnShape( shapeID )))
745 // check that uv is correct
747 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
748 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
750 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
752 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
754 setPosOnShapeValidity( shapeID, false );
755 if ( !infinit && distXYZ ) {
756 surfPnt.Transform( loc );
758 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
760 // uv incorrect, project the node to surface
761 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
762 projector.Perform( nodePnt );
763 if ( !projector.IsDone() || projector.NbPoints() < 1 )
765 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
768 Quantity_Parameter U,V;
769 projector.LowerDistanceParameters(U,V);
771 surfPnt = surface->Value( U, V );
772 dist = nodePnt.Distance( surfPnt );
774 surfPnt.Transform( loc );
776 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
780 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
783 // store the fixed UV on the face
784 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
785 const_cast<SMDS_MeshNode*>(n)->SetPosition
786 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
788 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
790 setPosOnShapeValidity( shapeID, true );
796 //=======================================================================
797 //function : GetProjector
798 //purpose : Return projector intitialized by given face without location, which is returned
799 //=======================================================================
801 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
802 TopLoc_Location& loc,
805 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
806 int faceID = GetMeshDS()->ShapeToIndex( F );
807 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
808 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
809 if ( i_proj == i2proj.end() )
811 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
812 double U1, U2, V1, V2;
813 surface->Bounds(U1, U2, V1, V2);
814 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
815 proj->Init( surface, U1, U2, V1, V2, tol );
816 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
818 return *( i_proj->second );
821 //=======================================================================
822 //function : GetSurface
823 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
824 //=======================================================================
826 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
828 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
829 int faceID = GetMeshDS()->ShapeToIndex( F );
830 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
831 if ( i_surf == myFace2Surface.end() && faceID )
833 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
834 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
836 return i_surf->second;
841 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
842 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
843 gp_XY_FunPtr(Subtracted);
846 //=======================================================================
847 //function : ApplyIn2D
848 //purpose : Perform given operation on two 2d points in parameric space of given surface.
849 // It takes into account period of the surface. Use gp_XY_FunPtr macro
850 // to easily define pointer to function of gp_XY class.
851 //=======================================================================
853 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
857 const bool resultInPeriod)
859 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
860 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
861 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
862 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
863 if ( !isUPeriodic && !isVPeriodic )
866 // move uv2 not far than half-period from uv1
868 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
870 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
873 gp_XY res = fun( uv1, gp_XY(u2,v2) );
875 // move result within period
876 if ( resultInPeriod )
878 Standard_Real UF,UL,VF,VL;
879 surface->Bounds(UF,UL,VF,VL);
881 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
883 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
889 //=======================================================================
890 //function : AdjustByPeriod
891 //purpose : Move node positions on a FACE within surface period
892 //=======================================================================
894 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
896 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
897 ph->SetSubShape( face );
899 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
900 if ( ph->GetPeriodicIndex() & iCoo )
902 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
903 const double xRef = uv[0].Coord( iCoo );
904 for ( int i = 1; i < nbUV; ++i )
906 double x = uv[i].Coord( iCoo );
907 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
908 uv[i].SetCoord( iCoo, x + dx );
913 //=======================================================================
914 //function : GetMiddleUV
915 //purpose : Return middle UV taking in account surface period
916 //=======================================================================
918 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
923 // the proper place of getting basic surface seems to be in ApplyIn2D()
924 // but we put it here to decrease a risk of regressions just before releasing a version
925 // Handle(Geom_Surface) surf = surface;
926 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
927 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
929 return ApplyIn2D( surface, p1, p2, & AverageUV );
932 //=======================================================================
933 //function : GetCenterUV
934 //purpose : Return UV for the central node of a biquadratic triangle
935 //=======================================================================
937 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
943 bool * isBadTria/*=0*/)
946 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
948 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
949 uvAvg = ( uv1 + uv23 ) / 2.;
950 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
951 uvAvg = ( uv2 + uv31 ) / 2.;
952 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
953 uvAvg = ( uv3 + uv12 ) / 2.;
956 *isBadTria = badTria;
960 //=======================================================================
961 //function : GetNodeU
962 //purpose : Return node U on edge
963 //=======================================================================
965 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
966 const SMDS_MeshNode* n,
967 const SMDS_MeshNode* inEdgeNode,
970 double param = Precision::Infinite();
972 const SMDS_PositionPtr pos = n->GetPosition();
973 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
975 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
976 param = epos->GetUParameter();
978 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
980 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
983 BRep_Tool::Range( E, f,l );
984 double uInEdge = GetNodeU( E, inEdgeNode );
985 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
989 SMESHDS_Mesh * meshDS = GetMeshDS();
990 int vertexID = n->getshapeId();
991 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
992 param = BRep_Tool::Parameter( V, E );
997 double tol = BRep_Tool::Tolerance( E );
998 double f,l; BRep_Tool::Range( E, f,l );
999 bool force = ( param < f-tol || param > l+tol );
1000 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1001 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1003 *check = CheckNodeU( E, n, param, 2*tol, force );
1008 //=======================================================================
1009 //function : CheckNodeU
1010 //purpose : Check and fix node U on an edge
1011 // Return false if U is bad and could not be fixed
1012 //=======================================================================
1014 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1015 const SMDS_MeshNode* n,
1019 double distXYZ[4]) const
1021 int shapeID = n->getshapeId();
1023 if (( infinit = Precision::IsInfinite( u )) ||
1026 ( toCheckPosOnShape( shapeID )))
1028 TopLoc_Location loc; double f,l;
1029 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1030 if ( curve.IsNull() ) // degenerated edge
1032 if ( u+tol < f || u-tol > l )
1034 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1040 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1041 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1043 double dist = 2*tol;
1046 curvPnt = curve->Value( u );
1047 dist = nodePnt.Distance( curvPnt );
1049 curvPnt.Transform( loc );
1051 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1056 setPosOnShapeValidity( shapeID, false );
1057 // u incorrect, project the node to the curve
1058 int edgeID = GetMeshDS()->ShapeToIndex( E );
1059 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1060 TID2ProjectorOnCurve::iterator i_proj =
1061 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1062 if ( !i_proj->second )
1064 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1065 i_proj->second->Init( curve, f, l );
1067 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1068 projector->Perform( nodePnt );
1069 if ( projector->NbPoints() < 1 )
1071 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1074 Quantity_Parameter U = projector->LowerDistanceParameter();
1076 MESSAGE(" f " << f << " l " << l << " u " << u);
1077 curvPnt = curve->Value( u );
1078 dist = nodePnt.Distance( curvPnt );
1080 curvPnt.Transform( loc );
1082 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1086 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
1087 MESSAGE("distance " << dist << " " << tol );
1090 // store the fixed U on the edge
1091 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1092 const_cast<SMDS_MeshNode*>(n)->SetPosition
1093 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1095 else if ( fabs( u ) > numeric_limits<double>::min() )
1097 setPosOnShapeValidity( shapeID, true );
1099 if (( u < f-tol || u > l+tol ) && force )
1101 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1102 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1105 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1106 double period = curve->Period();
1107 u = ( u < f ) ? u + period : u - period;
1109 catch (Standard_Failure& exc)
1119 //=======================================================================
1120 //function : GetMediumPos
1121 //purpose : Return index and type of the shape (EDGE or FACE only) to
1122 // set a medium node on
1123 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1125 //param : expectedSupport - shape type corresponding to element being created,
1126 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1127 // basing on \a n1 and \a n2
1128 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1129 // case where the lower dim mesh is already constructed and converted to quadratic,
1130 // else, nodes on EDGEs are assigned to FACE, for example.
1131 //=======================================================================
1133 std::pair<int, TopAbs_ShapeEnum>
1134 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1135 const SMDS_MeshNode* n2,
1136 const bool useCurSubShape,
1137 TopAbs_ShapeEnum expectedSupport)
1139 if ( useCurSubShape && !myShape.IsNull() )
1140 return std::make_pair( myShapeID, myShape.ShapeType() );
1142 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1146 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1148 shapeType = myShape.ShapeType();
1149 shapeID = myShapeID;
1151 else if ( n1->getshapeId() == n2->getshapeId() )
1153 shapeID = n2->getshapeId();
1154 shape = GetSubShapeByNode( n1, GetMeshDS() );
1156 else // 2 different shapes
1158 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1159 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1161 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1165 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1168 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1170 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1171 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1172 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1173 if ( IsSubShape( S, F ))
1175 shapeType = TopAbs_FACE;
1176 shapeID = n1->getshapeId();
1180 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1182 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1183 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1184 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1186 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1188 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1189 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1190 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1191 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1193 else // on VERTEX and EDGE
1195 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1196 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1197 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1198 if ( IsSubShape( V, E ))
1201 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1205 if ( !shape.IsNull() )
1208 shapeID = GetMeshDS()->ShapeToIndex( shape );
1209 shapeType = shape.ShapeType(); // EDGE or FACE
1211 if ( expectedSupport < shapeType &&
1212 expectedSupport != TopAbs_SHAPE &&
1213 !myShape.IsNull() &&
1214 myShape.ShapeType() == expectedSupport )
1216 // e.g. a side of triangle connects nodes on the same EDGE but does not
1217 // lie on this EDGE (an arc with a coarse mesh)
1218 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1219 // hope that myShape is a right shape, return it if the found shape
1220 // has converted elements of corresponding dim (segments in our example)
1221 int nbConvertedElems = 0;
1222 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1223 for ( int iN = 0; iN < 2; ++iN )
1225 const SMDS_MeshNode* n = iN ? n2 : n1;
1226 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1227 while ( it->more() )
1229 const SMDS_MeshElement* elem = it->next();
1230 if ( elem->getshapeId() == shapeID &&
1231 elem->IsQuadratic() )
1238 if ( nbConvertedElems == 2 )
1240 shapeType = myShape.ShapeType();
1241 shapeID = myShapeID;
1245 return make_pair( shapeID, shapeType );
1248 //=======================================================================
1249 //function : GetCentralNode
1250 //purpose : Return existing or create a new central node for a quardilateral
1251 // quadratic face given its 8 nodes.
1252 //@param : force3d - true means node creation in between the given nodes,
1253 // else node position is found on a geometrical face if any.
1254 //=======================================================================
1256 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1257 const SMDS_MeshNode* n2,
1258 const SMDS_MeshNode* n3,
1259 const SMDS_MeshNode* n4,
1260 const SMDS_MeshNode* n12,
1261 const SMDS_MeshNode* n23,
1262 const SMDS_MeshNode* n34,
1263 const SMDS_MeshNode* n41,
1266 SMDS_MeshNode *centralNode = 0; // central node to return
1268 // Find an existing central node
1270 TBiQuad keyOfMap(n1,n2,n3,n4);
1271 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1272 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1273 if ( itMapCentralNode != myMapWithCentralNode.end() )
1275 return (*itMapCentralNode).second;
1278 // Get type of shape for the new central node
1280 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1284 TopTools_ListIteratorOfListOfShape it;
1286 std::map< int, int > faceId2nbNodes;
1287 std::map< int, int > ::iterator itMapWithIdFace;
1289 SMESHDS_Mesh* meshDS = GetMeshDS();
1291 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1292 // on sub-shapes of the FACE
1293 if ( GetMesh()->HasShapeToMesh() )
1295 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1296 for(int i = 0; i < 4; i++)
1298 shape = GetSubShapeByNode( nodes[i], meshDS );
1299 if ( shape.IsNull() ) break;
1300 if ( shape.ShapeType() == TopAbs_SOLID )
1302 solidID = nodes[i]->getshapeId();
1303 shapeType = TopAbs_SOLID;
1306 if ( shape.ShapeType() == TopAbs_FACE )
1308 faceID = nodes[i]->getshapeId();
1309 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1310 itMapWithIdFace->second++;
1314 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1315 while ( const TopoDS_Shape* face = it->next() )
1317 faceID = meshDS->ShapeToIndex( *face );
1318 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1319 itMapWithIdFace->second++;
1324 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1326 // find ID of the FACE the four corner nodes belong to
1327 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1328 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1329 itMapWithIdFace->second == 4 )
1331 shapeType = TopAbs_FACE;
1336 itMapWithIdFace = faceId2nbNodes.begin();
1337 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1339 if ( itMapWithIdFace->second == 4 )
1341 shapeType = TopAbs_FACE;
1342 faceID = (*itMapWithIdFace).first;
1350 if ( shapeType == TopAbs_FACE )
1352 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1359 bool toCheck = true;
1360 if ( !F.IsNull() && !force3d )
1362 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1363 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1365 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1366 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1367 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1368 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1369 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1370 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1371 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1376 GetNodeUV( F,n1, n3, &toCheck ),
1377 GetNodeUV( F,n2, n4, &toCheck ),
1378 GetNodeUV( F,n3, n1, &toCheck ),
1379 GetNodeUV( F,n4, n2, &toCheck ),
1380 GetNodeUV( F,n12, n3 ),
1381 GetNodeUV( F,n23, n4 ),
1382 GetNodeUV( F,n34, n2 ),
1383 GetNodeUV( F,n41, n2 )
1385 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1387 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1389 P = surface->Value( uvAvg );
1390 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1391 // if ( mySetElemOnShape ) node is not elem!
1392 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1394 else // ( force3d || F.IsNull() )
1396 P = calcTFI (0.5, 0.5,
1397 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1398 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1399 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1400 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1401 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1403 if ( !F.IsNull() ) // force3d
1405 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1406 GetNodeUV(F,n2,n4,&toCheck) +
1407 GetNodeUV(F,n3,n1,&toCheck) +
1408 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1409 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1410 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1412 else if ( solidID > 0 )
1414 meshDS->SetNodeInVolume( centralNode, solidID );
1416 else if ( myShapeID > 0 && mySetElemOnShape )
1418 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1421 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1425 //=======================================================================
1426 //function : GetCentralNode
1427 //purpose : Return existing or create a new central node for a
1428 // quadratic triangle given its 6 nodes.
1429 //@param : force3d - true means node creation in between the given nodes,
1430 // else node position is found on a geometrical face if any.
1431 //=======================================================================
1433 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1434 const SMDS_MeshNode* n2,
1435 const SMDS_MeshNode* n3,
1436 const SMDS_MeshNode* n12,
1437 const SMDS_MeshNode* n23,
1438 const SMDS_MeshNode* n31,
1441 SMDS_MeshNode *centralNode = 0; // central node to return
1443 // Find an existing central node
1445 TBiQuad keyOfMap(n1,n2,n3);
1446 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1447 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1448 if ( itMapCentralNode != myMapWithCentralNode.end() )
1450 return (*itMapCentralNode).second;
1453 // Get type of shape for the new central node
1455 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1459 TopTools_ListIteratorOfListOfShape it;
1461 std::map< int, int > faceId2nbNodes;
1462 std::map< int, int > ::iterator itMapWithIdFace;
1464 SMESHDS_Mesh* meshDS = GetMeshDS();
1466 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1467 // on sub-shapes of the FACE
1468 if ( GetMesh()->HasShapeToMesh() )
1470 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1471 for(int i = 0; i < 3; i++)
1473 shape = GetSubShapeByNode( nodes[i], meshDS );
1474 if ( shape.IsNull() ) break;
1475 if ( shape.ShapeType() == TopAbs_SOLID )
1477 solidID = nodes[i]->getshapeId();
1478 shapeType = TopAbs_SOLID;
1481 if ( shape.ShapeType() == TopAbs_FACE )
1483 faceID = nodes[i]->getshapeId();
1484 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1485 itMapWithIdFace->second++;
1489 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1490 while ( const TopoDS_Shape* face = it->next() )
1492 faceID = meshDS->ShapeToIndex( *face );
1493 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1494 itMapWithIdFace->second++;
1499 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1501 // find ID of the FACE the four corner nodes belong to
1502 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1503 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1504 itMapWithIdFace->second == 4 )
1506 shapeType = TopAbs_FACE;
1511 itMapWithIdFace = faceId2nbNodes.begin();
1512 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1514 if ( itMapWithIdFace->second == 3 )
1516 shapeType = TopAbs_FACE;
1517 faceID = (*itMapWithIdFace).first;
1527 if ( shapeType == TopAbs_FACE )
1529 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1530 bool checkOK = true, badTria = false;
1532 GetNodeUV( F, n1, n23, &checkOK ),
1533 GetNodeUV( F, n2, n31, &checkOK ),
1534 GetNodeUV( F, n3, n12, &checkOK ),
1535 GetNodeUV( F, n12, n3, &checkOK ),
1536 GetNodeUV( F, n23, n1, &checkOK ),
1537 GetNodeUV( F, n31, n2, &checkOK )
1539 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1541 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1543 if ( badTria || !checkOK )
1547 // Create a central node
1550 if ( !F.IsNull() && !force3d )
1552 TopLoc_Location loc;
1553 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1554 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1555 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1556 // if ( mySetElemOnShape ) node is not elem!
1557 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1559 else // ( force3d || F.IsNull() )
1561 P = ( SMESH_TNodeXYZ( n12 ) +
1562 SMESH_TNodeXYZ( n23 ) +
1563 SMESH_TNodeXYZ( n31 ) ) / 3;
1564 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1566 if ( !F.IsNull() ) // force3d
1568 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1570 else if ( solidID > 0 )
1572 meshDS->SetNodeInVolume( centralNode, solidID );
1574 else if ( myShapeID > 0 && mySetElemOnShape )
1576 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1579 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1583 //=======================================================================
1584 //function : GetMediumNode
1585 //purpose : Return existing or create a new medium node between given ones
1586 //=======================================================================
1588 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1589 const SMDS_MeshNode* n2,
1591 TopAbs_ShapeEnum expectedSupport)
1593 // Find existing node
1595 SMESH_TLink link(n1,n2);
1596 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1597 if ( itLN != myTLinkNodeMap.end() ) {
1598 return (*itLN).second;
1601 // Create medium node
1604 SMESHDS_Mesh* meshDS = GetMeshDS();
1606 if ( IsSeamShape( n1->getshapeId() ))
1607 // to get a correct UV of a node on seam, the second node must have checked UV
1608 std::swap( n1, n2 );
1610 // get type of shape for the new medium node
1611 int faceID = -1, edgeID = -1;
1612 TopoDS_Edge E; double u [2];
1613 TopoDS_Face F; gp_XY uv[2];
1614 bool uvOK[2] = { true, true };
1615 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1617 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1619 // get positions of the given nodes on shapes
1620 if ( pos.second == TopAbs_FACE )
1622 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1623 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1625 ( HasDegeneratedEdges() || GetSurface( F )->HasSingularities( 1e-7 )))
1627 // IPAL52850 (degen VERTEX not at singularity)
1628 // project middle point to a surface
1629 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1630 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1631 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
1634 uvMid = projector->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1636 uvMid = projector->ValueOfUV( pMid, getFaceMaxTol( F ));
1637 if ( projector->Gap() * projector->Gap() < ( p1 - p2 ).SquareModulus() / 4 )
1639 gp_Pnt pProj = projector->Value( uvMid );
1640 n12 = meshDS->AddNode( pProj.X(), pProj.Y(), pProj.Z() );
1641 meshDS->SetNodeOnFace( n12, faceID, uvMid.X(), uvMid.Y() );
1642 myTLinkNodeMap.insert( make_pair ( link, n12 ));
1646 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1648 else if ( pos.second == TopAbs_EDGE )
1650 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1651 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1652 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1653 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1654 n1->getshapeId() != n2->getshapeId() )
1657 return getMediumNodeOnComposedWire(n1,n2,force3d);
1659 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1661 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1662 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1664 catch ( Standard_Failure& f )
1666 // issue 22502 / a node is on VERTEX not belonging to E
1667 // issue 22568 / both nodes are on non-connected VERTEXes
1668 return getMediumNodeOnComposedWire(n1,n2,force3d);
1672 if ( !force3d & uvOK[0] && uvOK[1] )
1674 // we try to create medium node using UV parameters of
1675 // nodes, else - medium between corresponding 3d points
1678 //if ( uvOK[0] && uvOK[1] )
1680 if ( IsDegenShape( n1->getshapeId() )) {
1681 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1682 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1684 else if ( IsDegenShape( n2->getshapeId() )) {
1685 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1686 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1688 TopLoc_Location loc;
1689 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1690 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1691 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1692 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1693 // if ( mySetElemOnShape ) node is not elem!
1694 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1695 myTLinkNodeMap.insert(make_pair(link,n12));
1699 else if ( !E.IsNull() )
1702 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1705 Standard_Boolean isPeriodic = C->IsPeriodic();
1708 Standard_Real Period = C->Period();
1709 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1710 Standard_Real pmid = (u[0]+p)/2.;
1711 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1716 gp_Pnt P = C->Value( U );
1717 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1718 //if ( mySetElemOnShape ) node is not elem!
1719 meshDS->SetNodeOnEdge(n12, edgeID, U);
1720 myTLinkNodeMap.insert(make_pair(link,n12));
1727 double x = ( n1->X() + n2->X() )/2.;
1728 double y = ( n1->Y() + n2->Y() )/2.;
1729 double z = ( n1->Z() + n2->Z() )/2.;
1730 n12 = meshDS->AddNode(x,y,z);
1732 //if ( mySetElemOnShape ) node is not elem!
1736 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1737 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1738 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1740 else if ( !E.IsNull() )
1742 double U = ( u[0] + u[1] ) / 2.;
1743 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1744 meshDS->SetNodeOnEdge(n12, edgeID, U);
1746 else if ( myShapeID > 0 && mySetElemOnShape )
1748 meshDS->SetMeshElementOnShape(n12, myShapeID);
1752 myTLinkNodeMap.insert( make_pair( link, n12 ));
1756 //================================================================================
1758 * \brief Makes a medium node if nodes reside different edges
1760 //================================================================================
1762 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1763 const SMDS_MeshNode* n2,
1766 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1767 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1768 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1770 // To find position on edge and 3D position for n12,
1771 // project <middle> to 2 edges and select projection most close to <middle>
1773 TopoDS_Edge bestEdge;
1774 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1776 // get shapes under the nodes
1777 TopoDS_Shape shape[2];
1779 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1781 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1782 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1784 shape[ nbShapes++ ] = S;
1787 vector< TopoDS_Shape > edges;
1788 for ( int iS = 0; iS < nbShapes; ++iS )
1790 switch ( shape[iS].ShapeType() ) {
1793 edges.push_back( shape[iS] );
1799 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1800 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1802 if ( edge.IsNull() )
1804 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1805 while( const TopoDS_Shape* e = eIt->next() )
1806 edges.push_back( *e );
1812 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1813 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1814 edges.push_back( e.Current() );
1821 // project to get U of projection and distance from middle to projection
1822 for ( size_t iE = 0; iE < edges.size(); ++iE )
1824 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1825 distXYZ[0] = distMiddleProj;
1827 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1828 if ( distXYZ[0] < distMiddleProj )
1830 distMiddleProj = distXYZ[0];
1836 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1837 // TopoDS_Vertex vCommon;
1838 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1839 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1842 // double f,l, u0 = GetNodeU( edges[0], n1 );
1843 // BRep_Tool::Range( edges[0],f,l );
1844 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1847 // distMiddleProj = 0;
1850 if ( !bestEdge.IsNull() )
1852 // move n12 to position of a successfull projection
1853 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1854 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1856 TopLoc_Location loc;
1857 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1858 gp_Pnt p = curve->Value( u ).Transformed( loc );
1859 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1861 //if ( mySetElemOnShape ) node is not elem!
1863 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1864 if ( edgeID != n12->getshapeId() )
1865 GetMeshDS()->UnSetNodeOnShape( n12 );
1866 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1869 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1874 //=======================================================================
1875 //function : AddNode
1876 //purpose : Creates a node
1877 //=======================================================================
1879 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1882 SMESHDS_Mesh * meshDS = GetMeshDS();
1883 SMDS_MeshNode* node = 0;
1885 node = meshDS->AddNodeWithID( x, y, z, ID );
1887 node = meshDS->AddNode( x, y, z );
1888 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1889 switch ( myShape.ShapeType() ) {
1890 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1891 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1892 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1893 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1894 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1901 //=======================================================================
1902 //function : AddEdge
1903 //purpose : Creates quadratic or linear edge
1904 //=======================================================================
1906 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1907 const SMDS_MeshNode* n2,
1911 SMESHDS_Mesh * meshDS = GetMeshDS();
1913 SMDS_MeshEdge* edge = 0;
1914 if (myCreateQuadratic) {
1915 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1917 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1919 edge = meshDS->AddEdge(n1, n2, n12);
1923 edge = meshDS->AddEdgeWithID(n1, n2, id);
1925 edge = meshDS->AddEdge(n1, n2);
1928 if ( mySetElemOnShape && myShapeID > 0 )
1929 meshDS->SetMeshElementOnShape( edge, myShapeID );
1934 //=======================================================================
1935 //function : AddFace
1936 //purpose : Creates quadratic or linear triangle
1937 //=======================================================================
1939 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1940 const SMDS_MeshNode* n2,
1941 const SMDS_MeshNode* n3,
1945 SMESHDS_Mesh * meshDS = GetMeshDS();
1946 SMDS_MeshFace* elem = 0;
1948 if( n1==n2 || n2==n3 || n3==n1 )
1951 if(!myCreateQuadratic) {
1953 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1955 elem = meshDS->AddFace(n1, n2, n3);
1958 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1959 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1960 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1961 if(myCreateBiQuadratic)
1963 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1965 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1967 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1972 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1974 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1977 if ( mySetElemOnShape && myShapeID > 0 )
1978 meshDS->SetMeshElementOnShape( elem, myShapeID );
1983 //=======================================================================
1984 //function : AddFace
1985 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1986 //=======================================================================
1988 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1989 const SMDS_MeshNode* n2,
1990 const SMDS_MeshNode* n3,
1991 const SMDS_MeshNode* n4,
1995 SMESHDS_Mesh * meshDS = GetMeshDS();
1996 SMDS_MeshFace* elem = 0;
1999 return AddFace(n1,n3,n4,id,force3d);
2002 return AddFace(n1,n2,n4,id,force3d);
2005 return AddFace(n1,n2,n3,id,force3d);
2008 return AddFace(n1,n2,n4,id,force3d);
2011 return AddFace(n1,n2,n3,id,force3d);
2014 return AddFace(n1,n2,n3,id,force3d);
2017 if(!myCreateQuadratic) {
2019 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2021 elem = meshDS->AddFace(n1, n2, n3, n4);
2024 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2025 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2026 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2027 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2028 if(myCreateBiQuadratic)
2030 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2032 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2034 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2039 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2041 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2044 if ( mySetElemOnShape && myShapeID > 0 )
2045 meshDS->SetMeshElementOnShape( elem, myShapeID );
2050 //=======================================================================
2051 //function : AddPolygonalFace
2052 //purpose : Creates polygon, with additional nodes in quadratic mesh
2053 //=======================================================================
2055 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2059 SMESHDS_Mesh * meshDS = GetMeshDS();
2060 SMDS_MeshFace* elem = 0;
2062 if(!myCreateQuadratic)
2065 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2067 elem = meshDS->AddPolygonalFace(nodes);
2071 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2073 for ( size_t i = 0; i < nodes.size(); ++i )
2075 const SMDS_MeshNode* n1 = nodes[i];
2076 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2077 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2078 newNodes.push_back( n12 );
2081 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2083 elem = meshDS->AddQuadPolygonalFace(newNodes);
2085 if ( mySetElemOnShape && myShapeID > 0 )
2086 meshDS->SetMeshElementOnShape( elem, myShapeID );
2091 //=======================================================================
2092 //function : AddVolume
2093 //purpose : Creates quadratic or linear prism
2094 //=======================================================================
2096 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2097 const SMDS_MeshNode* n2,
2098 const SMDS_MeshNode* n3,
2099 const SMDS_MeshNode* n4,
2100 const SMDS_MeshNode* n5,
2101 const SMDS_MeshNode* n6,
2105 SMESHDS_Mesh * meshDS = GetMeshDS();
2106 SMDS_MeshVolume* elem = 0;
2107 if(!myCreateQuadratic) {
2109 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2111 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2114 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2115 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2116 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2118 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2119 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2120 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2122 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2123 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2124 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2127 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2128 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2130 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2131 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2133 if ( mySetElemOnShape && myShapeID > 0 )
2134 meshDS->SetMeshElementOnShape( elem, myShapeID );
2139 //=======================================================================
2140 //function : AddVolume
2141 //purpose : Creates quadratic or linear tetrahedron
2142 //=======================================================================
2144 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2145 const SMDS_MeshNode* n2,
2146 const SMDS_MeshNode* n3,
2147 const SMDS_MeshNode* n4,
2151 SMESHDS_Mesh * meshDS = GetMeshDS();
2152 SMDS_MeshVolume* elem = 0;
2153 if(!myCreateQuadratic) {
2155 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2157 elem = meshDS->AddVolume(n1, n2, n3, n4);
2160 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2161 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2162 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2164 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2165 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2166 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2169 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2171 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2173 if ( mySetElemOnShape && myShapeID > 0 )
2174 meshDS->SetMeshElementOnShape( elem, myShapeID );
2179 //=======================================================================
2180 //function : AddVolume
2181 //purpose : Creates quadratic or linear pyramid
2182 //=======================================================================
2184 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2185 const SMDS_MeshNode* n2,
2186 const SMDS_MeshNode* n3,
2187 const SMDS_MeshNode* n4,
2188 const SMDS_MeshNode* n5,
2192 SMDS_MeshVolume* elem = 0;
2193 if(!myCreateQuadratic) {
2195 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2197 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2200 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2201 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2202 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2203 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2205 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2206 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2207 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2208 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2211 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2216 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2218 n15, n25, n35, n45);
2220 if ( mySetElemOnShape && myShapeID > 0 )
2221 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2226 //=======================================================================
2227 //function : AddVolume
2228 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2229 //=======================================================================
2231 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2232 const SMDS_MeshNode* n2,
2233 const SMDS_MeshNode* n3,
2234 const SMDS_MeshNode* n4,
2235 const SMDS_MeshNode* n5,
2236 const SMDS_MeshNode* n6,
2237 const SMDS_MeshNode* n7,
2238 const SMDS_MeshNode* n8,
2242 SMESHDS_Mesh * meshDS = GetMeshDS();
2243 SMDS_MeshVolume* elem = 0;
2244 if(!myCreateQuadratic) {
2246 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2248 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2251 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2252 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2253 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2254 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2256 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2257 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2258 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2259 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2261 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2262 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2263 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2264 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2265 if ( myCreateBiQuadratic )
2267 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2268 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2269 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2270 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2271 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2272 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2274 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2276 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2277 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2278 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2279 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2280 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2281 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2282 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2283 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2285 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2286 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2287 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2288 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2289 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2290 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2291 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2292 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2293 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2294 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2295 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2296 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2298 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2299 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2300 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2301 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2302 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2303 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2305 gp_XYZ centerCube(0.5, 0.5, 0.5);
2307 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2308 const SMDS_MeshNode* nCenter =
2309 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2310 meshDS->SetNodeInVolume( nCenter, myShapeID );
2313 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2314 n12, n23, n34, n41, n56, n67,
2315 n78, n85, n15, n26, n37, n48,
2316 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2318 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2319 n12, n23, n34, n41, n56, n67,
2320 n78, n85, n15, n26, n37, n48,
2321 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2326 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2327 n12, n23, n34, n41, n56, n67,
2328 n78, n85, n15, n26, n37, n48, id);
2330 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2331 n12, n23, n34, n41, n56, n67,
2332 n78, n85, n15, n26, n37, n48);
2335 if ( mySetElemOnShape && myShapeID > 0 )
2336 meshDS->SetMeshElementOnShape( elem, myShapeID );
2341 //=======================================================================
2342 //function : AddVolume
2343 //purpose : Creates LINEAR!!!!!!!!! octahedron
2344 //=======================================================================
2346 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2347 const SMDS_MeshNode* n2,
2348 const SMDS_MeshNode* n3,
2349 const SMDS_MeshNode* n4,
2350 const SMDS_MeshNode* n5,
2351 const SMDS_MeshNode* n6,
2352 const SMDS_MeshNode* n7,
2353 const SMDS_MeshNode* n8,
2354 const SMDS_MeshNode* n9,
2355 const SMDS_MeshNode* n10,
2356 const SMDS_MeshNode* n11,
2357 const SMDS_MeshNode* n12,
2361 SMESHDS_Mesh * meshDS = GetMeshDS();
2362 SMDS_MeshVolume* elem = 0;
2364 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2366 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2367 if ( mySetElemOnShape && myShapeID > 0 )
2368 meshDS->SetMeshElementOnShape( elem, myShapeID );
2372 //=======================================================================
2373 //function : AddPolyhedralVolume
2374 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2375 //=======================================================================
2378 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2379 const std::vector<int>& quantities,
2383 SMESHDS_Mesh * meshDS = GetMeshDS();
2384 SMDS_MeshVolume* elem = 0;
2385 if(!myCreateQuadratic)
2388 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2390 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2394 vector<const SMDS_MeshNode*> newNodes;
2395 vector<int> newQuantities;
2396 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2398 int nbNodesInFace = quantities[iFace];
2399 newQuantities.push_back(0);
2400 for ( int i = 0; i < nbNodesInFace; ++i )
2402 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2403 newNodes.push_back( n1 );
2404 newQuantities.back()++;
2406 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2407 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2408 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2410 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2411 newNodes.push_back( n12 );
2412 newQuantities.back()++;
2415 iN += nbNodesInFace;
2418 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2420 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2422 if ( mySetElemOnShape && myShapeID > 0 )
2423 meshDS->SetMeshElementOnShape( elem, myShapeID );
2430 //================================================================================
2432 * \brief Check if a node belongs to any face of sub-mesh
2434 //================================================================================
2436 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2438 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2439 while ( fIt->more() )
2440 if ( sm->Contains( fIt->next() ))
2446 //=======================================================================
2447 //function : IsSameElemGeometry
2448 //purpose : Returns true if all elements of a sub-mesh are of same shape
2449 //=======================================================================
2451 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2452 SMDSAbs_GeometryType shape,
2453 const bool nullSubMeshRes)
2455 if ( !smDS ) return nullSubMeshRes;
2457 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2458 while ( elemIt->more() ) {
2459 const SMDS_MeshElement* e = elemIt->next();
2460 if ( e->GetGeomType() != shape )
2466 //=======================================================================
2467 //function : LoadNodeColumns
2468 //purpose : Load nodes bound to face into a map of node columns
2469 //=======================================================================
2471 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2472 const TopoDS_Face& theFace,
2473 const TopoDS_Edge& theBaseEdge,
2474 SMESHDS_Mesh* theMesh,
2475 SMESH_ProxyMesh* theProxyMesh)
2477 return LoadNodeColumns(theParam2ColumnMap,
2479 std::list<TopoDS_Edge>(1,theBaseEdge),
2484 //=======================================================================
2485 //function : LoadNodeColumns
2486 //purpose : Load nodes bound to face into a map of node columns
2487 //=======================================================================
2489 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2490 const TopoDS_Face& theFace,
2491 const std::list<TopoDS_Edge>& theBaseSide,
2492 SMESHDS_Mesh* theMesh,
2493 SMESH_ProxyMesh* theProxyMesh)
2495 // get a right sub-mesh of theFace
2497 const SMESHDS_SubMesh* faceSubMesh = 0;
2500 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2501 if ( !faceSubMesh ||
2502 faceSubMesh->NbElements() == 0 ||
2503 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2505 // can use a proxy sub-mesh with not temporary elements only
2511 faceSubMesh = theMesh->MeshElements( theFace );
2512 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2515 if ( theParam2ColumnMap.empty() )
2517 // get data of edges for normalization of params
2518 vector< double > length;
2520 list<TopoDS_Edge>::const_iterator edge;
2522 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2524 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2526 length.push_back( len );
2530 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2531 edge = theBaseSide.begin();
2532 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2534 map< double, const SMDS_MeshNode*> sortedBaseNN;
2535 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2537 map< double, const SMDS_MeshNode*>::iterator u_n;
2538 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2539 // so the following solution is commented (hope forever :)
2541 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2542 // // SMDSAbs_Edge here is needed to be coherent with
2543 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2544 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2545 // // medium node on EDGE is medium in a triangle but not
2548 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2549 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2550 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2552 // const SMDS_MeshNode* node = u_n->second;
2553 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2554 // if ( faceIt->more() && node ) {
2555 // const SMDS_MeshElement* face = faceIt->next();
2556 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2560 // sortedBaseNN.erase( u_n++ );
2564 if ( sortedBaseNN.empty() ) continue;
2566 u_n = sortedBaseNN.begin();
2567 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2569 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2570 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2571 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2572 n2 != theProxyMesh->GetProxyNode( n2 ));
2573 if ( allNodesAreProxy )
2574 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2575 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2577 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2579 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2580 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2582 if ( !sortedBaseNN.empty() )
2583 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2585 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2586 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2588 if ( sortedBaseNN.empty() ) continue;
2592 BRep_Tool::Range( *edge, f, l );
2593 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2594 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2595 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2596 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2598 double par = prevPar + coeff * ( u_n->first - f );
2599 TParam2ColumnMap::iterator u2nn =
2600 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2601 u2nn->second.push_back( u_n->second );
2604 if ( theParam2ColumnMap.size() < 2 )
2609 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2610 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2612 // fill theParam2ColumnMap column by column by passing from nodes on
2613 // theBaseEdge up via mesh faces on theFace
2615 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2616 par_nVec_2 = theParam2ColumnMap.begin();
2617 par_nVec_1 = par_nVec_2++;
2618 TIDSortedElemSet emptySet, avoidSet;
2619 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2621 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2622 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2623 nCol1.resize( prevNbRows + expectNbRows );
2624 nCol2.resize( prevNbRows + expectNbRows );
2626 int i1, i2; size_t foundNbRows = 0;
2627 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2628 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2629 // find face sharing node n1 and n2 and belonging to faceSubMesh
2630 while ( const SMDS_MeshElement* face =
2631 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2633 if ( faceSubMesh->Contains( face ))
2635 int nbNodes = face->NbCornerNodes();
2638 if ( foundNbRows + 1 > expectNbRows )
2640 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2641 n2 = face->GetNode( (i1+2) % 4 );
2642 nCol1[ prevNbRows + foundNbRows] = n1;
2643 nCol2[ prevNbRows + foundNbRows] = n2;
2646 avoidSet.insert( face );
2648 if ((size_t) foundNbRows != expectNbRows )
2652 return ( theParam2ColumnMap.size() > 1 &&
2653 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2658 //================================================================================
2660 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2662 //================================================================================
2664 bool isCornerOfStructure( const SMDS_MeshNode* n,
2665 const SMESHDS_SubMesh* faceSM,
2666 SMESH_MesherHelper& faceAnalyser )
2668 int nbFacesInSM = 0;
2670 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2671 while ( fIt->more() )
2672 nbFacesInSM += faceSM->Contains( fIt->next() );
2674 if ( nbFacesInSM == 1 )
2677 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2679 return faceAnalyser.IsRealSeam( n->getshapeId() );
2685 //=======================================================================
2686 //function : IsStructured
2687 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2688 //=======================================================================
2690 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2692 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2693 if ( !fSM || fSM->NbElements() == 0 )
2696 list< TopoDS_Edge > edges;
2697 list< int > nbEdgesInWires;
2698 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2699 edges, nbEdgesInWires );
2700 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2703 // algo: find corners of a structure and then analyze nb of faces and
2704 // length of structure sides
2706 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2707 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2708 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2710 // rotate edges to get the first node being at corner
2711 // (in principle it's not necessary because so far none SALOME algo can make
2712 // such a structured mesh that all corner nodes are not on VERTEXes)
2713 bool isCorner = false;
2714 int nbRemainEdges = nbEdgesInWires.front();
2716 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2717 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2720 edges.splice( edges.end(), edges, edges.begin() );
2724 while ( !isCorner && nbRemainEdges > 0 );
2729 // get all nodes from EDGEs
2730 list< const SMDS_MeshNode* > nodes;
2731 list< TopoDS_Edge >::iterator edge = edges.begin();
2732 for ( ; edge != edges.end(); ++edge )
2734 map< double, const SMDS_MeshNode* > u2Nodes;
2735 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2736 /*skipMedium=*/true, u2Nodes ))
2739 list< const SMDS_MeshNode* > edgeNodes;
2740 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2741 for ( ; u2n != u2Nodes.end(); ++u2n )
2742 edgeNodes.push_back( u2n->second );
2743 if ( edge->Orientation() == TopAbs_REVERSED )
2744 edgeNodes.reverse();
2746 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2747 edgeNodes.pop_front();
2748 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2751 // get length of structured sides
2752 vector<int> nbEdgesInSide;
2754 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2755 for ( ; n != nodes.end(); ++n )
2758 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2759 nbEdgesInSide.push_back( nbEdges );
2765 if ( nbEdgesInSide.size() != 4 )
2767 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2769 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2771 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2777 //=======================================================================
2778 //function : IsDistorted2D
2779 //purpose : Return true if 2D mesh on FACE is ditorted
2780 //=======================================================================
2782 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2785 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2788 bool haveBadFaces = false;
2790 SMESH_MesherHelper helper( *faceSM->GetFather() );
2791 helper.SetSubShape( faceSM->GetSubShape() );
2793 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2794 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2795 if ( !smDS || smDS->NbElements() == 0 ) return false;
2797 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2798 double prevArea = 0;
2799 vector< const SMDS_MeshNode* > nodes;
2801 bool* toCheckUV = checkUV ? & checkUV : 0;
2802 while ( faceIt->more() && !haveBadFaces )
2804 const SMDS_MeshElement* face = faceIt->next();
2807 nodes.resize( face->NbCornerNodes() );
2808 SMDS_MeshElement::iterator n = face->begin_nodes();
2809 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2812 // avoid elems on degenarate shapes as UV on them can be wrong
2813 if ( helper.HasDegeneratedEdges() )
2815 bool isOnDegen = false;
2816 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2817 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2821 // prepare to getting UVs
2822 const SMDS_MeshNode* inFaceNode = 0;
2823 if ( helper.HasSeam() ) {
2824 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2825 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2826 inFaceNode = nodes[ i ];
2831 uv.resize( nodes.size() );
2832 for ( size_t i = 0; i < nodes.size(); ++i )
2833 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2835 // compare orientation of triangles
2836 double faceArea = 0;
2837 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2839 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2840 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2841 faceArea += v2 ^ v1;
2843 haveBadFaces = ( faceArea * prevArea < 0 );
2844 prevArea = faceArea;
2847 return haveBadFaces;
2850 //================================================================================
2852 * \brief Find out elements orientation on a geometrical face
2853 * \param theFace - The face correctly oriented in the shape being meshed
2854 * \retval bool - true if the face normal and the normal of first element
2855 * in the correspoding submesh point in different directions
2857 //================================================================================
2859 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2861 if ( theFace.IsNull() )
2864 // find out orientation of a meshed face
2865 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2866 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2867 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2869 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2870 if ( !aSubMeshDSFace )
2873 // find an element on a bounday of theFace
2874 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2875 const SMDS_MeshNode* nn[2];
2876 while ( iteratorElem->more() ) // loop on elements on theFace
2878 const SMDS_MeshElement* elem = iteratorElem->next();
2879 if ( ! elem ) continue;
2881 // look for 2 nodes on EDGE
2882 int nbNodes = elem->NbCornerNodes();
2883 nn[0] = elem->GetNode( nbNodes-1 );
2884 for ( int iN = 0; iN < nbNodes; ++iN )
2886 nn[1] = elem->GetNode( iN );
2887 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2888 nn[1]->GetPosition()->GetDim() < 2 )
2890 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2891 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2892 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2893 if ( !E.IsNull() && !s0.IsSame( s1 ))
2897 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2898 if ( E.IsSame( exp.Current() )) {
2900 E = exp.Current(); // to know orientation
2905 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2906 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2907 // check that the 2 nodes are connected with a segment (IPAL53055)
2908 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
2909 if ( sm->NbElements() > 0 && !GetMeshDS()->FindEdge( nn[0], nn[1] ))
2913 isReversed = ( u0 > u1 );
2914 if ( E.Orientation() == TopAbs_REVERSED )
2915 isReversed = !isReversed;
2925 // find an element with a good normal
2927 bool normalOK = false;
2929 iteratorElem = aSubMeshDSFace->GetElements();
2930 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2932 const SMDS_MeshElement* elem = iteratorElem->next();
2933 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2937 // get UV of a node inside theFACE
2938 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2939 const SMDS_MeshNode* nInFace = 0;
2940 int iPosDim = SMDS_TOP_VERTEX;
2941 while ( nodesIt->more() ) // loop on nodes
2943 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2944 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2947 iPosDim = n->GetPosition()->GetTypeOfPosition();
2950 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2955 // face normal at node position
2956 TopLoc_Location loc;
2957 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2958 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2959 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2960 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2963 gp_Vec d1u, d1v; gp_Pnt p;
2964 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2965 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2967 if ( theFace.Orientation() == TopAbs_REVERSED )
2970 return Ne * Nf < 0.;
2973 //=======================================================================
2975 //purpose : Count nb of sub-shapes
2976 //=======================================================================
2978 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2979 const TopAbs_ShapeEnum type,
2980 const bool ignoreSame)
2983 TopTools_IndexedMapOfShape map;
2984 TopExp::MapShapes( shape, type, map );
2985 return map.Extent();
2989 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2995 //=======================================================================
2996 //function : NbAncestors
2997 //purpose : Return number of unique ancestors of the shape
2998 //=======================================================================
3000 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3001 const SMESH_Mesh& mesh,
3002 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3004 TopTools_MapOfShape ancestors;
3005 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3006 for ( ; ansIt.More(); ansIt.Next() ) {
3007 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3008 ancestors.Add( ansIt.Value() );
3010 return ancestors.Extent();
3013 //=======================================================================
3014 //function : GetSubShapeOri
3015 //purpose : Return orientation of sub-shape in the main shape
3016 //=======================================================================
3018 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3019 const TopoDS_Shape& subShape)
3021 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3022 if ( !shape.IsNull() && !subShape.IsNull() )
3024 TopExp_Explorer e( shape, subShape.ShapeType() );
3025 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3026 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3027 for ( ; e.More(); e.Next())
3028 if ( subShape.IsSame( e.Current() ))
3031 ori = e.Current().Orientation();
3036 //=======================================================================
3037 //function : IsSubShape
3039 //=======================================================================
3041 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3042 const TopoDS_Shape& mainShape )
3044 if ( !shape.IsNull() && !mainShape.IsNull() )
3046 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3049 if ( shape.IsSame( exp.Current() ))
3052 SCRUTE((shape.IsNull()));
3053 SCRUTE((mainShape.IsNull()));
3057 //=======================================================================
3058 //function : IsSubShape
3060 //=======================================================================
3062 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3064 if ( shape.IsNull() || !aMesh )
3067 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3069 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3072 //=======================================================================
3073 //function : IsBlock
3075 //=======================================================================
3077 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3079 if ( shape.IsNull() )
3083 TopExp_Explorer exp( shape, TopAbs_SHELL );
3084 if ( !exp.More() ) return false;
3085 shell = TopoDS::Shell( exp.Current() );
3086 if ( exp.Next(), exp.More() ) return false;
3089 TopTools_IndexedMapOfOrientedShape map;
3090 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3094 //================================================================================
3096 * \brief Return maximal tolerance of shape
3098 //================================================================================
3100 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3102 double tol = Precision::Confusion();
3103 TopExp_Explorer exp;
3104 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3105 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3106 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3107 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3108 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3109 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3114 //================================================================================
3116 * \brief Return MaxTolerance( face ), probably cached
3118 //================================================================================
3120 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3122 int faceID = GetMeshDS()->ShapeToIndex( face );
3124 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3125 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3127 tol = MaxTolerance( face );
3132 //================================================================================
3134 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3135 * of the FACE normal
3136 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3137 * 1e100 in case of failure
3138 * \waring Care about order of the EDGEs and their orientation to be as they are
3139 * within the FACE! Don't pass degenerated EDGEs neither!
3141 //================================================================================
3143 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3144 const TopoDS_Edge & theE2,
3145 const TopoDS_Face & theFace,
3146 const TopoDS_Vertex & theCommonV,
3147 gp_Vec* theFaceNormal)
3149 double angle = 1e100;
3153 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3154 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3155 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3156 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3157 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3158 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3159 if ( c1.IsNull() || c2.IsNull() )
3161 gp_XY uv = c2d1->Value( p1 ).XY();
3162 gp_Vec du, dv; gp_Pnt p;
3163 surf->D1( uv.X(), uv.Y(), p, du, dv );
3164 gp_Vec vec1, vec2, vecRef = du ^ dv;
3167 while ( vecRef.SquareMagnitude() < 1e-25 )
3169 double dp = ( l - f ) / 1000.;
3170 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3171 uv = c2d1->Value( p1tmp ).XY();
3172 surf->D1( uv.X(), uv.Y(), p, du, dv );
3174 if ( ++nbLoops > 10 )
3177 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3182 if ( theFace.Orientation() == TopAbs_REVERSED )
3184 if ( theFaceNormal ) *theFaceNormal = vecRef;
3186 c1->D1( p1, p, vec1 );
3187 c2->D1( p2, p, vec2 );
3188 // TopoDS_Face F = theFace;
3189 // if ( F.Orientation() == TopAbs_INTERNAL )
3190 // F.Orientation( TopAbs_FORWARD );
3191 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3193 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3195 angle = vec1.AngleWithRef( vec2, vecRef );
3197 if ( Abs ( angle ) >= 0.99 * M_PI )
3199 BRep_Tool::Range( theE1, f, l );
3200 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3201 c1->D1( p1, p, vec1 );
3202 if ( theE1.Orientation() == TopAbs_REVERSED )
3204 BRep_Tool::Range( theE2, f, l );
3205 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3206 c2->D1( p2, p, vec2 );
3207 if ( theE2.Orientation() == TopAbs_REVERSED )
3209 angle = vec1.AngleWithRef( vec2, vecRef );
3218 //================================================================================
3220 * \brief Check if the first and last vertices of an edge are the same
3221 * \param anEdge - the edge to check
3222 * \retval bool - true if same
3224 //================================================================================
3226 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3228 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3229 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3230 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3233 //================================================================================
3235 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3236 * in the case of INTERNAL edge
3238 //================================================================================
3240 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3244 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3245 anEdge.Orientation( TopAbs_FORWARD );
3247 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3248 TopoDS_Iterator vIt( anEdge, CumOri );
3249 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3252 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3255 //================================================================================
3257 * \brief Return type of shape contained in a group
3258 * \param group - a shape of type TopAbs_COMPOUND
3259 * \param avoidCompound - not to return TopAbs_COMPOUND
3261 //================================================================================
3263 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3264 const bool avoidCompound)
3266 if ( !group.IsNull() )
3268 if ( group.ShapeType() != TopAbs_COMPOUND )
3269 return group.ShapeType();
3271 // iterate on a compound
3272 TopoDS_Iterator it( group );
3274 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3276 return TopAbs_SHAPE;
3279 //================================================================================
3281 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3282 * \param [in] hyp - the hypothesis
3283 * \param [in] shape - the shape, for meshing which the \a hyp is used
3284 * \param [in] mesh - the mesh
3285 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3287 //================================================================================
3289 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3290 const TopoDS_Shape& shape,
3293 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3294 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3296 TopoDS_Shape shapeOfHyp;
3297 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3301 //=======================================================================
3302 //function : IsQuadraticMesh
3303 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3304 // quadratic elements will be created.
3305 // Used then generated 3D mesh without geometry.
3306 //=======================================================================
3308 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3310 int NbAllEdgsAndFaces=0;
3311 int NbQuadFacesAndEdgs=0;
3312 int NbFacesAndEdges=0;
3313 //All faces and edges
3314 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3315 if ( NbAllEdgsAndFaces == 0 )
3316 return SMESH_MesherHelper::LINEAR;
3318 //Quadratic faces and edges
3319 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3321 //Linear faces and edges
3322 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3324 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3326 return SMESH_MesherHelper::QUADRATIC;
3328 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3330 return SMESH_MesherHelper::LINEAR;
3333 //Mesh with both type of elements
3334 return SMESH_MesherHelper::COMP;
3337 //=======================================================================
3338 //function : GetOtherParam
3339 //purpose : Return an alternative parameter for a node on seam
3340 //=======================================================================
3342 double SMESH_MesherHelper::GetOtherParam(const double param) const
3344 int i = myParIndex & U_periodic ? 0 : 1;
3345 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3350 //=======================================================================
3352 * \brief Iterator on ancestors of the given type
3354 //=======================================================================
3356 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3358 TopTools_ListIteratorOfListOfShape _ancIter;
3359 TopAbs_ShapeEnum _type;
3360 TopTools_MapOfShape _encountered;
3361 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3362 : _ancIter( ancestors ), _type( type )
3364 if ( _ancIter.More() ) {
3365 if ( _ancIter.Value().ShapeType() != _type ) next();
3366 else _encountered.Add( _ancIter.Value() );
3371 return _ancIter.More();
3373 virtual const TopoDS_Shape* next()
3375 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3376 if ( _ancIter.More() )
3377 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3378 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3386 //=======================================================================
3388 * \brief Return iterator on ancestors of the given type
3390 //=======================================================================
3392 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3393 const SMESH_Mesh& mesh,
3394 TopAbs_ShapeEnum ancestorType)
3396 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3399 //=======================================================================
3400 //function : GetCommonAncestor
3401 //purpose : Find a common ancestors of two shapes of the given type
3402 //=======================================================================
3404 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3405 const TopoDS_Shape& shape2,
3406 const SMESH_Mesh& mesh,
3407 TopAbs_ShapeEnum ancestorType)
3409 TopoDS_Shape commonAnc;
3410 if ( !shape1.IsNull() && !shape2.IsNull() )
3412 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3414 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3417 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3418 while ( const TopoDS_Shape* anc = ancIt->next() )
3419 if ( IsSubShape( shape2, *anc ))
3428 //#include <Perf_Meter.hxx>
3430 //=======================================================================
3431 namespace { // Structures used by FixQuadraticElements()
3432 //=======================================================================
3434 #define __DMP__(txt) \
3436 #define MSG(txt) __DMP__(txt<<endl)
3437 #define MSGBEG(txt) __DMP__(txt)
3439 //const double straightTol2 = 1e-33; // to detect straing links
3440 bool isStraightLink(double linkLen2, double middleNodeMove2)
3442 // straight if <node move> < 1/15 * <link length>
3443 return middleNodeMove2 < 1/15./15. * linkLen2;
3447 // ---------------------------------------
3449 * \brief Quadratic link knowing its faces
3451 struct QLink: public SMESH_TLink
3453 const SMDS_MeshNode* _mediumNode;
3454 mutable vector<const QFace* > _faces;
3455 mutable gp_Vec _nodeMove;
3456 mutable int _nbMoves;
3457 mutable bool _is2dFixed; // is moved along surface or in 3D
3459 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3460 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3462 _nodeMove = MediumPnt() - MiddlePnt();
3463 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3465 void SetContinuesFaces() const;
3466 const QFace* GetContinuesFace( const QFace* face ) const;
3467 bool OnBoundary() const;
3468 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3469 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3471 SMDS_TypeOfPosition MediumPos() const
3472 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3473 SMDS_TypeOfPosition EndPos(bool isSecond) const
3474 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3475 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3476 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3478 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3479 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3480 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3481 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3482 bool IsFixedOnSurface() const { return _is2dFixed; }
3483 bool IsStraight() const
3484 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3485 _nodeMove.SquareMagnitude());
3487 bool operator<(const QLink& other) const {
3488 return (node1()->GetID() == other.node1()->GetID() ?
3489 node2()->GetID() < other.node2()->GetID() :
3490 node1()->GetID() < other.node1()->GetID());
3492 // struct PtrComparator {
3493 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3496 // ---------------------------------------------------------
3498 * \brief Link in the chain of links; it connects two faces
3502 const QLink* _qlink;
3503 mutable const QFace* _qfaces[2];
3505 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3506 _qfaces[0] = _qfaces[1] = 0;
3508 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3510 bool IsBoundary() const { return !_qfaces[1]; }
3512 void RemoveFace( const QFace* face ) const
3513 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3515 const QFace* NextFace( const QFace* f ) const
3516 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3518 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3519 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3521 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3523 operator bool() const { return (_qlink); }
3525 const QLink* operator->() const { return _qlink; }
3527 gp_Vec Normal() const;
3529 bool IsStraight() const;
3531 // --------------------------------------------------------------------
3532 typedef list< TChainLink > TChain;
3533 typedef set < TChainLink > TLinkSet;
3534 typedef TLinkSet::const_iterator TLinkInSet;
3536 const int theFirstStep = 5;
3538 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3539 // --------------------------------------------------------------------
3541 * \brief Quadratic face shared by two volumes and bound by QLinks
3543 struct QFace: public TIDSortedNodeSet
3545 mutable const SMDS_MeshElement* _volumes[2];
3546 mutable vector< const QLink* > _sides;
3547 mutable bool _sideIsAdded[4]; // added in chain of links
3550 mutable const SMDS_MeshElement* _face;
3553 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3555 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3557 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3559 void AddSelfToLinks() const {
3560 for ( size_t i = 0; i < _sides.size(); ++i )
3561 _sides[i]->_faces.push_back( this );
3563 int LinkIndex( const QLink* side ) const {
3564 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3567 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3569 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3571 int i = LinkIndex( link._qlink );
3572 if ( i < 0 ) return true;
3573 _sideIsAdded[i] = true;
3574 link.SetFace( this );
3575 // continue from opposite link
3576 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3578 bool IsBoundary() const { return !_volumes[1]; }
3580 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3582 bool IsSpoiled(const QLink* bentLink ) const;
3584 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3585 const TChainLink& avoidLink,
3586 TLinkInSet * notBoundaryLink = 0,
3587 const SMDS_MeshNode* nodeToContain = 0,
3588 bool * isAdjacentUsed = 0,
3589 int nbRecursionsLeft = -1) const;
3591 TLinkInSet GetLinkByNode( const TLinkSet& links,
3592 const TChainLink& avoidLink,
3593 const SMDS_MeshNode* nodeToContain) const;
3595 const SMDS_MeshNode* GetNodeInFace() const {
3596 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3597 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3601 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3603 double MoveByBoundary( const TChainLink& theLink,
3604 const gp_Vec& theRefVec,
3605 const TLinkSet& theLinks,
3606 SMESH_MesherHelper* theFaceHelper=0,
3607 const double thePrevLen=0,
3608 const int theStep=theFirstStep,
3609 gp_Vec* theLinkNorm=0,
3610 double theSign=1.0) const;
3613 //================================================================================
3615 * \brief Dump QLink and QFace
3617 ostream& operator << (ostream& out, const QLink& l)
3619 out <<"QLink nodes: "
3620 << l.node1()->GetID() << " - "
3621 << l._mediumNode->GetID() << " - "
3622 << l.node2()->GetID() << endl;
3625 ostream& operator << (ostream& out, const QFace& f)
3627 out <<"QFace nodes: "/*<< &f << " "*/;
3628 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3629 out << (*n)->GetID() << " ";
3630 out << " \tvolumes: "
3631 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3632 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3633 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3637 //================================================================================
3639 * \brief Construct QFace from QLinks
3641 //================================================================================
3643 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3645 _volumes[0] = _volumes[1] = 0;
3647 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3648 _normal.SetCoord(0,0,0);
3649 for ( size_t i = 1; i < _sides.size(); ++i ) {
3650 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3651 insert( l1->node1() ); insert( l1->node2() );
3653 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3654 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3655 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3659 double normSqSize = _normal.SquareMagnitude();
3660 if ( normSqSize > numeric_limits<double>::min() )
3661 _normal /= sqrt( normSqSize );
3663 _normal.SetCoord(1e-33,0,0);
3669 //================================================================================
3671 * \brief Make up a chain of links
3672 * \param iSide - link to add first
3673 * \param chain - chain to fill in
3674 * \param pos - postion of medium nodes the links should have
3675 * \param error - out, specifies what is wrong
3676 * \retval bool - false if valid chain can't be built; "valid" means that links
3677 * of the chain belongs to rectangles bounding hexahedrons
3679 //================================================================================
3681 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3683 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3685 if ( _sideIsAdded[ iSide ]) // already in chain
3688 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3691 list< const QFace* > faces( 1, this );
3692 while ( !faces.empty() ) {
3693 const QFace* face = faces.front();
3694 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3695 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3696 face->_sideIsAdded[i] = true;
3697 // find a face side in the chain
3698 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3699 // TChain::iterator chLink = chain.begin();
3700 // for ( ; chLink != chain.end(); ++chLink )
3701 // if ( chLink->_qlink == face->_sides[i] )
3703 // if ( chLink == chain.end() )
3704 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3705 // add a face to a chained link and put a continues face in the queue
3706 chLink->SetFace( face );
3707 if ( face->_sides[i]->MediumPos() == pos )
3708 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3709 if ( contFace->_sides.size() == 3 )
3710 faces.push_back( contFace );
3715 if ( error < ERR_TRI )
3717 chain.insert( chain.end(), links.begin(),links.end() );
3720 _sideIsAdded[iSide] = true; // not to add this link to chain again
3721 const QLink* link = _sides[iSide];
3725 // add link into chain
3726 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3727 chLink->SetFace( this );
3730 // propagate from a quadrangle to neighbour faces
3731 if ( link->MediumPos() >= pos ) {
3732 int nbLinkFaces = link->_faces.size();
3733 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3734 // hexahedral mesh or boundary quadrangles - goto a continous face
3735 if ( const QFace* f = link->GetContinuesFace( this ))
3736 if ( f->_sides.size() == 4 )
3737 return f->GetLinkChain( *chLink, chain, pos, error );
3740 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3741 for ( int i = 0; i < nbLinkFaces; ++i )
3742 if ( link->_faces[i] )
3743 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3744 if ( error < ERR_PRISM )
3752 //================================================================================
3754 * \brief Return a boundary link of the triangle face
3755 * \param links - set of all links
3756 * \param avoidLink - link not to return
3757 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3758 * \param nodeToContain - node the returned link must contain; if provided, search
3759 * also performed on adjacent faces
3760 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3761 * \param nbRecursionsLeft - to limit recursion
3763 //================================================================================
3765 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3766 const TChainLink& avoidLink,
3767 TLinkInSet * notBoundaryLink,
3768 const SMDS_MeshNode* nodeToContain,
3769 bool * isAdjacentUsed,
3770 int nbRecursionsLeft) const
3772 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3774 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3775 TFaceLinkList adjacentFaces;
3777 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3779 if ( avoidLink._qlink == _sides[iL] )
3781 TLinkInSet link = links.find( _sides[iL] );
3782 if ( link == linksEnd ) continue;
3783 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3784 continue; // We work on faces here, don't go inside a solid
3787 if ( link->IsBoundary() ) {
3788 if ( !nodeToContain ||
3789 (*link)->node1() == nodeToContain ||
3790 (*link)->node2() == nodeToContain )
3792 boundaryLink = link;
3793 if ( !notBoundaryLink ) break;
3796 else if ( notBoundaryLink ) {
3797 *notBoundaryLink = link;
3798 if ( boundaryLink != linksEnd ) break;
3801 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3802 if ( const QFace* adj = link->NextFace( this ))
3803 if ( adj->Contains( nodeToContain ))
3804 adjacentFaces.push_back( make_pair( adj, link ));
3807 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3808 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3810 if ( nbRecursionsLeft < 0 )
3811 nbRecursionsLeft = nodeToContain->NbInverseElements();
3812 TFaceLinkList::iterator adj = adjacentFaces.begin();
3813 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3814 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3815 isAdjacentUsed, nbRecursionsLeft-1);
3816 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3818 return boundaryLink;
3820 //================================================================================
3822 * \brief Return a link ending at the given node but not avoidLink
3824 //================================================================================
3826 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3827 const TChainLink& avoidLink,
3828 const SMDS_MeshNode* nodeToContain) const
3830 for ( size_t i = 0; i < _sides.size(); ++i )
3831 if ( avoidLink._qlink != _sides[i] &&
3832 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3833 return links.find( _sides[i] );
3837 //================================================================================
3839 * \brief Return normal to the i-th side pointing outside the face
3841 //================================================================================
3843 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3845 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3846 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3847 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3848 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3850 if ( norm * vecOut < 0 )
3852 double mag2 = norm.SquareMagnitude();
3853 if ( mag2 > numeric_limits<double>::min() )
3854 norm /= sqrt( mag2 );
3857 //================================================================================
3859 * \brief Move medium node of theLink according to its distance from boundary
3860 * \param theLink - link to fix
3861 * \param theRefVec - movement of boundary
3862 * \param theLinks - all adjacent links of continous triangles
3863 * \param theFaceHelper - helper is not used so far
3864 * \param thePrevLen - distance from the boundary
3865 * \param theStep - number of steps till movement propagation limit
3866 * \param theLinkNorm - out normal to theLink
3867 * \param theSign - 1 or -1 depending on movement of boundary
3868 * \retval double - distance from boundary to propagation limit or other boundary
3870 //================================================================================
3872 double QFace::MoveByBoundary( const TChainLink& theLink,
3873 const gp_Vec& theRefVec,
3874 const TLinkSet& theLinks,
3875 SMESH_MesherHelper* theFaceHelper,
3876 const double thePrevLen,
3878 gp_Vec* theLinkNorm,
3879 double theSign) const
3882 return thePrevLen; // propagation limit reached
3884 size_t iL; // index of theLink
3885 for ( iL = 0; iL < _sides.size(); ++iL )
3886 if ( theLink._qlink == _sides[ iL ])
3889 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3890 <<" thePrevLen " << thePrevLen);
3891 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3893 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3894 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3895 if ( theStep == theFirstStep )
3896 theSign = refProj < 0. ? -1. : 1.;
3897 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3898 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3900 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3901 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3902 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3904 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3905 bool isBndLink1 = true, isBndLink2 = true;
3906 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3908 f1 = link1->NextFace( this );
3909 f2 = link2->NextFace( this );
3911 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3912 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3913 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3915 if ( !isBndLink1 && !f1 )
3916 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3917 if ( !isBndLink2 && !f2 )
3918 f2 = (*link2)->GetContinuesFace( this );
3921 else if ( _sides.size() < 4 )
3924 // propagate to adjacent faces till limit step or boundary
3925 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3926 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3927 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3928 gp_Vec linkDir2(0,0,0);
3931 if ( f1 && !isBndLink1 )
3932 len1 = f1->MoveByBoundary
3933 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3935 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3937 MSG( " --------------- EXCEPTION");
3942 if ( f2 && !isBndLink2 )
3943 len2 = f2->MoveByBoundary
3944 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3946 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3948 MSG( " --------------- EXCEPTION");
3953 if ( theStep != theFirstStep )
3955 // choose chain length by direction of propagation most codirected with theRefVec
3956 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3957 fullLen = choose1 ? len1 : len2;
3958 double r = thePrevLen / fullLen;
3960 gp_Vec move = linkNorm * refProj * ( 1 - r );
3961 theLink->Move( move, /*sum=*/true );
3963 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3964 " by " << refProj * ( 1 - r ) << " following " <<
3965 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3967 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3972 //================================================================================
3974 * \brief Checks if the face is distorted due to bentLink
3976 //================================================================================
3978 bool QFace::IsSpoiled(const QLink* bentLink ) const
3980 // code is valid for convex faces only
3982 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3983 gc += XYZ( *n ) / size();
3984 for (unsigned i = 0; i < _sides.size(); ++i )
3986 if ( _sides[i] == bentLink ) continue;
3987 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3988 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3989 if ( linkNorm * vecOut < 0 )
3991 double mag2 = linkNorm.SquareMagnitude();
3992 if ( mag2 > numeric_limits<double>::min() )
3993 linkNorm /= sqrt( mag2 );
3994 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3995 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3996 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4003 //================================================================================
4005 * \brief Find pairs of continues faces
4007 //================================================================================
4009 void QLink::SetContinuesFaces() const
4011 // x0 x - QLink, [-|] - QFace, v - volume
4013 // | Between _faces of link x2 two vertical faces are continues
4014 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4015 // | to _faces[0] and _faces[1] and horizontal faces to
4016 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
4019 if ( _faces.empty() )
4021 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4022 if ( _faces[0]->IsBoundary() )
4023 iBoundary[ nbBoundary++ ] = 0;
4024 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4026 // look for a face bounding none of volumes bound by _faces[0]
4027 bool sameVol = false;
4028 int nbVol = _faces[iF]->NbVolumes();
4029 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4030 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4031 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4034 if ( _faces[iF]->IsBoundary() )
4035 iBoundary[ nbBoundary++ ] = iF;
4037 // Set continues faces: arrange _faces to have
4038 // _faces[0] continues to _faces[1]
4039 // _faces[2] continues to _faces[3]
4040 if ( nbBoundary == 2 ) // bnd faces are continues
4042 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4044 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4045 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4048 else if ( iFaceCont > 0 ) // continues faces found
4050 if ( iFaceCont != 1 )
4051 std::swap( _faces[1], _faces[iFaceCont] );
4053 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4055 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4058 //================================================================================
4060 * \brief Return a face continues to the given one
4062 //================================================================================
4064 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4066 if ( _faces.size() <= 4 )
4067 for ( size_t i = 0; i < _faces.size(); ++i ) {
4068 if ( _faces[i] == face ) {
4069 int iF = i < 2 ? 1-i : 5-i;
4070 return iF < (int)_faces.size() ? _faces[iF] : 0;
4075 //================================================================================
4077 * \brief True if link is on mesh boundary
4079 //================================================================================
4081 bool QLink::OnBoundary() const
4083 for ( size_t i = 0; i < _faces.size(); ++i )
4084 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4087 //================================================================================
4089 * \brief Return normal of link of the chain
4091 //================================================================================
4093 gp_Vec TChainLink::Normal() const {
4095 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4096 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4099 //================================================================================
4101 * \brief Test link curvature taking into account size of faces
4103 //================================================================================
4105 bool TChainLink::IsStraight() const
4107 bool isStraight = _qlink->IsStraight();
4108 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4110 int i = _qfaces[0]->LinkIndex( _qlink );
4111 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4112 gp_XYZ mid1 = _qlink->MiddlePnt();
4113 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4114 double faceSize2 = (mid1-mid2).SquareModulus();
4115 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4120 //================================================================================
4122 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4124 //================================================================================
4126 void fixPrism( TChain& allLinks )
4128 // separate boundary links from internal ones
4129 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4130 QLinkSet interLinks, bndLinks1, bndLink2;
4132 bool isCurved = false;
4133 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4134 if ( (*lnk)->OnBoundary() )
4135 bndLinks1.insert( lnk->_qlink );
4137 interLinks.insert( lnk->_qlink );
4138 isCurved = isCurved || !lnk->IsStraight();
4141 return; // no need to move
4143 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4145 while ( !interLinks.empty() && !curBndLinks->empty() )
4147 // propagate movement from boundary links to connected internal links
4148 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4149 for ( ; bnd != bndEnd; ++bnd )
4151 const QLink* bndLink = *bnd;
4152 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4154 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4155 if ( !face ) continue;
4156 // find and move internal link opposite to bndLink within the face
4157 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4158 const QLink* interLink = face->_sides[ interInd ];
4159 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4160 if ( pInterLink == interLinks.end() ) continue; // not internal link
4161 interLink->Move( bndLink->_nodeMove );
4162 // treated internal links become new boundary ones
4163 interLinks.erase( pInterLink );
4164 newBndLinks->insert( interLink );
4167 curBndLinks->clear();
4168 std::swap( curBndLinks, newBndLinks );
4172 //================================================================================
4174 * \brief Fix links of continues triangles near curved boundary
4176 //================================================================================
4178 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4180 if ( allLinks.empty() ) return;
4182 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4183 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4185 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4187 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4189 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4190 const QFace* face = linkIt->_qfaces[0];
4191 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4192 face->_sides[1]->MiddlePnt() +
4193 face->_sides[2]->MiddlePnt() ) / 3.;
4194 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4195 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4196 //if ( face->IsSpoiled( linkIt->_qlink ))
4197 if ( linkBentInside )
4198 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4203 //================================================================================
4205 * \brief Detect rectangular structure of links and build chains from them
4207 //================================================================================
4209 enum TSplitTriaResult {
4210 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4211 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4213 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4214 vector< TChain> & resultChains,
4215 SMDS_TypeOfPosition pos )
4217 // put links in the set and evalute number of result chains by number of boundary links
4219 size_t nbBndLinks = 0;
4220 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4221 linkSet.insert( *lnk );
4222 nbBndLinks += lnk->IsBoundary();
4224 resultChains.clear();
4225 resultChains.reserve( nbBndLinks / 2 );
4227 TLinkInSet linkIt, linksEnd = linkSet.end();
4229 // find a boundary link with corner node; corner node has position pos-2
4230 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4232 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4233 const SMDS_MeshNode* corner = 0;
4234 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4235 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4240 TLinkInSet startLink = linkIt;
4241 const SMDS_MeshNode* startCorner = corner;
4242 vector< TChain* > rowChains;
4245 while ( startLink != linksEnd) // loop on columns
4247 // We suppose we have a rectangular structure like shown here. We have found a
4248 // corner of the rectangle (startCorner) and a boundary link sharing
4249 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4250 // --o---o---o structure making several chains at once. One chain (columnChain)
4251 // |\ | /| starts at startLink and continues upward (we look at the structure
4252 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4253 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4254 // --o---o---o encounter.
4256 // / | \ | \ | startCorner
4261 if ( resultChains.size() == nbBndLinks / 2 )
4263 resultChains.push_back( TChain() );
4264 TChain& columnChain = resultChains.back();
4266 TLinkInSet botLink = startLink; // current horizontal link to go up from
4267 corner = startCorner; // current corner the botLink ends at
4269 while ( botLink != linksEnd ) // loop on rows
4271 // add botLink to the columnChain
4272 columnChain.push_back( *botLink );
4274 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4276 { // the column ends
4277 if ( botLink == startLink )
4278 return _TWISTED_CHAIN; // issue 0020951
4279 linkSet.erase( botLink );
4280 if ( iRow != rowChains.size() )
4281 return _FEW_ROWS; // different nb of rows in columns
4284 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4285 // link ending at <corner> (sideLink); there are two cases:
4286 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4287 // since midQuadLink is not at boundary while sideLink is.
4288 // 2) midQuadLink ends at <corner>
4290 TLinkInSet midQuadLink = linksEnd;
4291 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4293 if ( isCase2 ) { // find midQuadLink among links of botTria
4294 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4295 if ( midQuadLink->IsBoundary() )
4296 return _BAD_MIDQUAD;
4298 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4299 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4302 columnChain.push_back( *midQuadLink );
4303 if ( iRow >= rowChains.size() ) {
4305 return _MANY_ROWS; // different nb of rows in columns
4306 if ( resultChains.size() == nbBndLinks / 2 )
4308 resultChains.push_back( TChain() );
4309 rowChains.push_back( & resultChains.back() );
4311 rowChains[iRow]->push_back( *sideLink );
4312 rowChains[iRow]->push_back( *midQuadLink );
4314 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4318 // prepare startCorner and startLink for the next column
4319 startCorner = startLink->NextNode( startCorner );
4321 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4323 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4324 // check if no more columns remains
4325 if ( startLink != linksEnd ) {
4326 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4327 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4328 startLink = linksEnd; // startLink bounds upTria or botTria
4329 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4333 // find bottom link and corner for the next row
4334 corner = sideLink->NextNode( corner );
4335 // next bottom link ends at the new corner
4336 linkSet.erase( botLink );
4337 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4338 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4340 if ( midQuadLink == startLink || sideLink == startLink )
4341 return _TWISTED_CHAIN; // issue 0020951
4342 linkSet.erase( midQuadLink );
4343 linkSet.erase( sideLink );
4345 // make faces neighboring the found ones be boundary
4346 if ( startLink != linksEnd ) {
4347 const QFace* tria = isCase2 ? botTria : upTria;
4348 for ( int iL = 0; iL < 3; ++iL ) {
4349 linkIt = linkSet.find( tria->_sides[iL] );
4350 if ( linkIt != linksEnd )
4351 linkIt->RemoveFace( tria );
4354 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4355 botLink->RemoveFace( upTria ); // make next botTria first in vector
4362 // In the linkSet, there must remain the last links of rowChains; add them
4363 if ( linkSet.size() != rowChains.size() )
4364 return _BAD_SET_SIZE;
4365 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4366 // find the link (startLink) ending at startCorner
4368 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4369 if ( (*startLink)->node1() == startCorner ) {
4370 corner = (*startLink)->node2(); break;
4372 else if ( (*startLink)->node2() == startCorner) {
4373 corner = (*startLink)->node1(); break;
4376 if ( startLink == linksEnd )
4378 rowChains[ iRow ]->push_back( *startLink );
4379 linkSet.erase( startLink );
4380 startCorner = corner;
4386 //================================================================================
4388 * \brief Place medium nodes at the link middle for elements whose corner nodes
4389 * are out of geometrical boundary to prevent distorting elements.
4390 * Issue 0020982, note 0013990
4392 //================================================================================
4394 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4395 SMESH_ComputeErrorPtr& theError)
4397 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4398 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4399 if ( shape.IsNull() ) return;
4401 if ( !theError ) theError = SMESH_ComputeError::New();
4405 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4407 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4409 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4410 if ( !faceSM ) return;
4412 const TopoDS_Face& face = TopoDS::Face( shape );
4413 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4415 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4416 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4418 // check if the EDGE needs checking
4419 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4420 if ( SMESH_Algo::isDegenerated( edge ) )
4422 if ( theHelper.IsRealSeam( edge ) &&
4423 edge.Orientation() == TopAbs_REVERSED )
4426 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4427 if ( !edgeSM ) continue;
4430 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4431 BRepAdaptor_Curve curve3D( edge );
4432 switch ( curve3D.GetType() ) {
4433 case GeomAbs_Line: continue;
4434 case GeomAbs_Circle:
4435 case GeomAbs_Ellipse:
4436 case GeomAbs_Hyperbola:
4437 case GeomAbs_Parabola:
4440 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4441 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4442 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4443 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4444 gp_Vec fNorm = Du1 ^ Dv1;
4445 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4446 continue; // face is normal to the curve3D
4448 gp_Vec curvNorm = fNorm ^ D1;
4449 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4450 if ( curvNorm * D2 > 0 )
4451 continue; // convex edge
4453 catch ( Standard_Failure )
4459 // get nodes shared by faces that may be distorted
4460 SMDS_NodeIteratorPtr nodeIt;
4461 if ( edgeSM->NbNodes() > 0 ) {
4462 nodeIt = edgeSM->GetNodes();
4465 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4467 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4468 if ( !vertexSM ) continue;
4469 nodeIt = vertexSM->GetNodes();
4472 // find suspicious faces
4473 TIDSortedElemSet checkedFaces;
4474 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4475 const SMDS_MeshNode* nOnFace;
4476 while ( nodeIt->more() )
4478 const SMDS_MeshNode* n = nodeIt->next();
4479 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4480 while ( faceIt->more() )
4482 const SMDS_MeshElement* f = faceIt->next();
4483 if ( !faceSM->Contains( f ) ||
4484 f->NbNodes() < 6 || // check quadratic triangles only
4485 !checkedFaces.insert( f ).second )
4488 // get nodes on EDGE and on FACE of a suspicious face
4489 nOnEdge.clear(); nOnFace = 0;
4490 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4491 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4494 if ( n->GetPosition()->GetDim() == 2 )
4497 nOnEdge.push_back( n );
4500 // check if nOnFace is inside the FACE
4501 if ( nOnFace && nOnEdge.size() == 2 )
4503 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4504 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4506 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4507 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4508 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4509 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4510 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4511 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4512 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4513 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4514 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4516 // nOnFace is out of FACE, move a medium on-edge node to the middle
4517 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4518 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4519 MSG( "move OUT of face " << n );
4520 theError->myBadElements.push_back( f );
4526 if ( !theError->myBadElements.empty() )
4527 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4530 } // 2D ==============================================================================
4532 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4534 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4535 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4537 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4538 if ( !solidSM ) return;
4540 // check if the SOLID is bound by concave FACEs
4541 vector< TopoDS_Face > concaveFaces;
4542 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4543 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4545 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4546 if ( !meshDS->MeshElements( face )) continue;
4548 BRepAdaptor_Surface surface( face );
4549 switch ( surface.GetType() ) {
4550 case GeomAbs_Plane: continue;
4551 case GeomAbs_Cylinder:
4553 case GeomAbs_Sphere:
4556 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4557 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4558 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4559 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4560 gp_Vec fNorm = Du1 ^ Dv1;
4561 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4562 bool concaveU = ( fNorm * Du2 > 1e-100 );
4563 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4564 if ( concaveU || concaveV )
4565 concaveFaces.push_back( face );
4567 catch ( Standard_Failure )
4569 concaveFaces.push_back( face );
4574 if ( concaveFaces.empty() )
4577 // fix 2D mesh on the SOLID
4578 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4580 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4581 faceHelper.SetSubShape( faceIt.Current() );
4582 force3DOutOfBoundary( faceHelper, theError );
4585 // get an iterator over faces on concaveFaces
4586 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4587 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4588 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4589 typedef SMDS_IteratorOnIterators
4590 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4591 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4593 // a seacher to check if a volume is close to a concave face
4594 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4595 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4598 //BRepClass3d_SolidClassifier solidClassifier( shape );
4600 TIDSortedElemSet checkedVols, movedNodes;
4601 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4602 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4604 //const TopoDS_Shape& face = faceIt.Current();
4605 const TopoDS_Shape& face = concaveFaces[ iF ];
4606 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4607 if ( !faceSM ) continue;
4609 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4610 SMDS_NodeIteratorPtr nodeIt;
4611 if ( faceSM->NbNodes() > 0 ) {
4612 nodeIt = faceSM->GetNodes();
4615 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4616 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4617 if ( !vertexSM ) continue;
4618 nodeIt = vertexSM->GetNodes();
4620 // get ids of sub-shapes of the FACE
4622 SMESH_subMeshIteratorPtr smIt =
4623 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4624 while ( smIt->more() )
4625 subIDs.insert( smIt->next()->GetId() );
4627 // find suspicious volumes adjacent to the FACE
4628 vector< const SMDS_MeshNode* > nOnFace( 4 );
4629 const SMDS_MeshNode* nInSolid;
4630 while ( nodeIt->more() )
4632 const SMDS_MeshNode* n = nodeIt->next();
4633 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4634 while ( volIt->more() )
4636 const SMDS_MeshElement* vol = volIt->next();
4637 size_t nbN = vol->NbCornerNodes();
4638 if ( ( nbN != 4 && nbN != 5 ) ||
4639 !solidSM->Contains( vol ) ||
4640 !checkedVols.insert( vol ).second )
4643 // get nodes on FACE and in SOLID of a suspicious volume
4644 nOnFace.clear(); nInSolid = 0;
4645 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4646 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4649 if ( n->GetPosition()->GetDim() == 3 )
4651 else if ( subIDs.count( n->getshapeId() ))
4652 nOnFace.push_back( n );
4656 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4659 // get size of the vol
4660 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4661 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4662 for ( size_t i = 1; i < nOnFace.size(); ++i )
4664 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4667 // check if vol is close to concaveFaces
4668 const SMDS_MeshElement* closeFace =
4669 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4671 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4674 // check if vol is distorted, i.e. a medium node is much closer
4675 // to nInSolid than the link middle
4676 bool isDistorted = false;
4677 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4678 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4680 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4681 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4682 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4683 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4685 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4686 TLinkNodeMap::const_iterator linkIt =
4687 theHelper.GetTLinkNodeMap().find( link );
4688 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4690 links.push_back( make_pair( linkIt->first, linkIt->second ));
4691 if ( !isDistorted ) {
4692 // compare projections of nInSolid and nMedium to face normal
4693 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4694 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4695 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4696 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4700 // move medium nodes to link middle
4703 for ( size_t i = 0; i < links.size(); ++i )
4705 const SMDS_MeshNode* nMedium = links[i].second;
4706 if ( movedNodes.insert( nMedium ).second )
4708 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4709 SMESH_TNodeXYZ( links[i].first.node2() ));
4710 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4711 MSG( "move OUT of solid " << nMedium );
4714 theError->myBadElements.push_back( vol );
4716 } // loop on volumes sharing a node on FACE
4717 } // loop on nodes on FACE
4718 } // loop on FACEs of a SOLID
4720 if ( !theError->myBadElements.empty() )
4721 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4727 //=======================================================================
4729 * \brief Move medium nodes of faces and volumes to fix distorted elements
4730 * \param error - container of fixed distorted elements
4731 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4733 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4735 //=======================================================================
4737 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4740 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4741 if ( getenv("NO_FixQuadraticElements") )
4744 // 0. Apply algorithm to SOLIDs or FACEs
4745 // ----------------------------------------------
4746 if ( myShape.IsNull() ) {
4747 if ( !myMesh->HasShapeToMesh() ) return;
4748 SetSubShape( myMesh->GetShapeToMesh() );
4752 TopTools_IndexedMapOfShape solids;
4753 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4754 nbSolids = solids.Extent();
4756 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4757 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4758 faces.Add( f.Current() ); // not in solid
4760 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4761 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4762 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4763 faces.Add( f.Current() ); // in not meshed solid
4765 else { // fix nodes in the solid and its faces
4767 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4769 SMESH_MesherHelper h(*myMesh);
4770 h.SetSubShape( s.Current() );
4771 h.ToFixNodeParameters(true);
4772 h.FixQuadraticElements( compError, false );
4775 // fix nodes on geom faces
4777 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4779 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4780 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4781 SMESH_MesherHelper h(*myMesh);
4782 h.SetSubShape( fIt.Key() );
4783 h.ToFixNodeParameters(true);
4784 h.FixQuadraticElements( compError, true);
4786 //perf_print_all_meters(1);
4787 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4788 compError->myComment = "during conversion to quadratic, "
4789 "some medium nodes were not placed on geometry to avoid distorting elements";
4793 // 1. Find out type of elements and get iterator on them
4794 // ---------------------------------------------------
4796 SMDS_ElemIteratorPtr elemIt;
4797 SMDSAbs_ElementType elemType = SMDSAbs_All;
4799 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4802 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4803 elemIt = smDS->GetElements();
4804 if ( elemIt->more() ) {
4805 elemType = elemIt->next()->GetType();
4806 elemIt = smDS->GetElements();
4809 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4812 // 2. Fill in auxiliary data structures
4813 // ----------------------------------
4817 set< QLink >::iterator pLink;
4818 set< QFace >::iterator pFace;
4820 bool isCurved = false;
4821 //bool hasRectFaces = false;
4822 //set<int> nbElemNodeSet;
4823 SMDS_VolumeTool volTool;
4825 TIDSortedNodeSet apexOfPyramid;
4826 const int apexIndex = 4;
4829 // Move medium nodes to the link middle for elements whose corner nodes
4830 // are out of geometrical boundary to fix distorted elements.
4831 force3DOutOfBoundary( *this, compError );
4833 if ( elemType == SMDSAbs_Volume )
4835 while ( elemIt->more() ) // loop on volumes
4837 const SMDS_MeshElement* vol = elemIt->next();
4838 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4840 double volMinSize2 = -1.;
4841 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4843 int nbN = volTool.NbFaceNodes( iF );
4844 //nbElemNodeSet.insert( nbN );
4845 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4846 vector< const QLink* > faceLinks( nbN/2 );
4847 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4850 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4851 pLink = links.insert( link ).first;
4852 faceLinks[ iN/2 ] = & *pLink;
4854 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4856 if ( !link.IsStraight() )
4857 return; // already fixed
4859 else if ( !isCurved )
4861 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4862 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4866 pFace = faces.insert( QFace( faceLinks )).first;
4867 if ( pFace->NbVolumes() == 0 )
4868 pFace->AddSelfToLinks();
4869 pFace->SetVolume( vol );
4870 // hasRectFaces = hasRectFaces ||
4871 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4872 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4875 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4877 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4878 faceNodes[4],faceNodes[6] );
4881 // collect pyramid apexes for further correction
4882 if ( vol->NbCornerNodes() == 5 )
4883 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4885 set< QLink >::iterator pLink = links.begin();
4886 for ( ; pLink != links.end(); ++pLink )
4887 pLink->SetContinuesFaces();
4891 while ( elemIt->more() ) // loop on faces
4893 const SMDS_MeshElement* face = elemIt->next();
4894 if ( !face->IsQuadratic() )
4896 //nbElemNodeSet.insert( face->NbNodes() );
4897 int nbN = face->NbNodes()/2;
4898 vector< const QLink* > faceLinks( nbN );
4899 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4902 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4903 pLink = links.insert( link ).first;
4904 faceLinks[ iN ] = & *pLink;
4906 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4907 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4908 isCurved = !link.IsStraight();
4911 pFace = faces.insert( QFace( faceLinks )).first;
4912 pFace->AddSelfToLinks();
4913 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4917 return; // no curved edges of faces
4919 // 3. Compute displacement of medium nodes
4920 // ---------------------------------------
4922 SMESH_MesherHelper faceHlp(*myMesh);
4924 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4925 TopLoc_Location loc;
4927 // not to treat boundary of volumic sub-mesh.
4928 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4929 for ( ; isInside < 2; ++isInside )
4931 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4932 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4933 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4935 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4936 if ( bool(isInside) == pFace->IsBoundary() )
4938 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4941 // make chain of links connected via continues faces
4944 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4946 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4948 vector< TChain > chains;
4949 if ( error == ERR_OK ) { // chain contains continues rectangles
4951 chains[0].splice( chains[0].begin(), rawChain );
4953 else if ( error == ERR_TRI ) { // chain contains continues triangles
4954 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4955 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4956 fixTriaNearBoundary( rawChain, *this );
4960 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4961 fixPrism( rawChain );
4967 for ( size_t iC = 0; iC < chains.size(); ++iC )
4969 TChain& chain = chains[iC];
4970 if ( chain.empty() ) continue;
4971 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4972 MSG("3D straight - ignore");
4975 if ( chain.front()->MediumPos() > bndPos ||
4976 chain.back() ->MediumPos() > bndPos ) {
4977 MSG("Internal chain - ignore");
4980 // mesure chain length and compute link position along the chain
4981 double chainLen = 0;
4982 vector< double > linkPos;
4983 TChain savedChain; // backup
4984 MSGBEG( "Link medium nodes: ");
4985 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4986 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4987 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4988 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4989 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4990 if ( savedChain.empty() ) savedChain = chain;
4991 link1 = chain.erase( link1 );
4992 if ( link1 == chain.end() )
4994 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4997 linkPos.push_back( chainLen );
5000 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5005 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5007 linkPos.push_back( chainLen );
5010 gp_Vec move0 = chain.front()->_nodeMove;
5011 gp_Vec move1 = chain.back ()->_nodeMove;
5016 // compute node displacement of end links of chain in parametric space of FACE
5017 TChainLink& linkOnFace = *(++chain.begin());
5018 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5019 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5020 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5022 face = TopoDS::Face( f );
5023 faceHlp.SetSubShape( face );
5024 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5025 //bool isStraight[2]; // commented for issue 0023118
5026 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5028 TChainLink& link = is1 ? chain.back() : chain.front();
5029 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5030 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5031 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5032 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5033 // uvMove = uvm - uv12
5034 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5035 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5036 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5037 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5038 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5039 // 10 * uvMove.SquareModulus());
5041 // if ( isStraight[0] && isStraight[1] ) {
5042 // MSG("2D straight - ignore");
5043 // continue; // straight - no need to move nodes of internal links
5046 // check if a chain is already fixed
5047 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5048 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5049 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5050 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5051 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5053 MSG("Already fixed - ignore");
5059 if ( isInside || face.IsNull() )
5061 // compute node displacement of end links in their local coord systems
5063 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5064 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5065 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5066 move0.Transform(trsf);
5069 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5070 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5071 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5072 move1.Transform(trsf);
5075 // compute displacement of medium nodes
5076 link2 = chain.begin();
5079 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5081 double r = linkPos[i] / chainLen;
5082 // displacement in local coord system
5083 gp_Vec move = (1. - r) * move0 + r * move1;
5084 if ( isInside || face.IsNull()) {
5085 // transform to global
5086 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5087 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5089 gp_Vec x = x01.Normalized() + x12.Normalized();
5090 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5091 } catch ( Standard_Failure ) {
5094 move.Transform(trsf);
5095 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5098 // compute 3D displacement by 2D one
5099 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5100 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5101 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5102 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5103 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5104 if ( SMDS_FacePosition* nPos =
5105 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5106 nPos->SetParameters( newUV.X(), newUV.Y() );
5108 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5109 move.SquareMagnitude())
5111 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5112 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5113 MSG( "TOO LONG MOVE \t" <<
5114 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5115 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5116 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5117 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5120 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5122 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5123 << chain.front()->_mediumNode->GetID() <<"-"
5124 << chain.back ()->_mediumNode->GetID() <<
5125 " by " << move.Magnitude());
5127 } // loop on chains of links
5128 } // loop on 2 directions of propagation from quadrangle
5130 } // fix faces and/or volumes
5135 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5136 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5137 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5138 myMesh->NbBiQuadTriangles() +
5139 myMesh->NbTriQuadraticHexas() );
5141 faceHlp.ToFixNodeParameters( true );
5143 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5144 if ( pLink->IsMoved() )
5146 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5148 // put on surface nodes on FACE but moved in 3D (23050)
5149 if ( !pLink->IsFixedOnSurface() )
5151 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5152 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5154 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5155 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5156 gp_XY uv( Precision::Infinite(), 0 );
5157 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5158 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5159 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5162 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5164 // collect bi-quadratic elements
5165 if ( toFixCentralNodes )
5167 biQuadQua = triQuadHex = 0;
5168 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5169 while ( eIt->more() )
5171 const SMDS_MeshElement* e = eIt->next();
5172 switch( e->GetEntityType() ) {
5173 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5174 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5175 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5182 // Fix positions of central nodes of bi-tri-quadratic elements
5184 // treat bi-quad quadrangles
5186 vector< const SMDS_MeshNode* > nodes( 9 );
5188 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5189 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5191 const SMDS_MeshElement* quad = *quadIt;
5194 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5196 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5197 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5198 const TopoDS_Face& F = TopoDS::Face( S );
5199 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5200 const double tol = BRep_Tool::Tolerance( F );
5202 for ( int i = 0; i < 8; ++i )
5204 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5205 // as this method is used after mesh generation, UV of nodes is not
5206 // updated according to bending links, so we update
5207 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5208 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5210 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5211 // move the central node
5212 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5213 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5214 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5218 // treat bi-quad triangles
5220 vector< const SMDS_MeshNode* > nodes;
5222 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5223 for ( ; triIt != biQuadTris.end(); ++triIt )
5225 const SMDS_MeshElement* tria = *triIt;
5227 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5228 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5229 const TopoDS_Face& F = TopoDS::Face( S );
5230 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5231 const double tol = BRep_Tool::Tolerance( F );
5234 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5236 bool uvOK = true, badTria = false;
5237 for ( int i = 0; i < 6; ++i )
5239 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5240 // as this method is used after mesh generation, UV of nodes is not
5241 // updated according to bending links, so we update
5242 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5243 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5246 // move the central node
5248 if ( !uvOK || badTria )
5250 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5251 SMESH_TNodeXYZ( nodes[4] ) +
5252 SMESH_TNodeXYZ( nodes[5] )) / 3;
5256 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5257 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5258 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5260 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5264 // treat tri-quadratic hexahedra
5266 SMDS_VolumeTool volExp;
5267 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5268 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5270 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5272 // fix nodes central in sides
5273 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5275 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5276 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5278 gp_XYZ p = calcTFI( 0.5, 0.5,
5279 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5280 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5281 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5282 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5283 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5287 // fix the volume central node
5288 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5289 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5291 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5292 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5293 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5294 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5295 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5296 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5297 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5298 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5300 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5301 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5302 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5303 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5304 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5305 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5306 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5307 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5308 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5309 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5310 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5311 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5313 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5314 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5315 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5316 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5317 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5318 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5320 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5321 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5322 GetMeshDS()->MoveNode( hexNodes[26],
5323 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());