1 // Copyright (C) 2007-2015 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESH_Block.hxx"
35 #include "SMESH_HypoFilter.hxx"
36 #include "SMESH_MeshAlgos.hxx"
37 #include "SMESH_ProxyMesh.hxx"
38 #include "SMESH_subMesh.hxx"
40 #include <BRepAdaptor_Curve.hxx>
41 #include <BRepAdaptor_Surface.hxx>
42 #include <BRepTools.hxx>
43 #include <BRep_Tool.hxx>
44 #include <Geom2d_Curve.hxx>
45 #include <GeomAPI_ProjectPointOnCurve.hxx>
46 #include <GeomAPI_ProjectPointOnSurf.hxx>
47 #include <Geom_Curve.hxx>
48 #include <Geom_RectangularTrimmedSurface.hxx>
49 #include <Geom_Surface.hxx>
50 #include <ShapeAnalysis.hxx>
52 #include <TopExp_Explorer.hxx>
53 #include <TopTools_ListIteratorOfListOfShape.hxx>
54 #include <TopTools_MapIteratorOfMapOfShape.hxx>
55 #include <TopTools_MapOfShape.hxx>
58 #include <gp_Pnt2d.hxx>
59 #include <gp_Trsf.hxx>
61 #include <Standard_Failure.hxx>
62 #include <Standard_ErrorHandler.hxx>
64 #include <utilities.h>
70 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
74 inline SMESH_TNodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_TNodeXYZ(n); }
76 enum { U_periodic = 1, V_periodic = 2 };
79 //================================================================================
83 //================================================================================
85 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
89 myCreateQuadratic(false),
90 myCreateBiQuadratic(false),
91 myFixNodeParameters(false)
93 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
94 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
97 //=======================================================================
98 //function : ~SMESH_MesherHelper
100 //=======================================================================
102 SMESH_MesherHelper::~SMESH_MesherHelper()
105 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
106 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
107 delete i_proj->second;
110 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
111 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
112 delete i_proj->second;
116 //=======================================================================
117 //function : IsQuadraticSubMesh
118 //purpose : Check submesh for given shape: if all elements on this shape
119 // are quadratic, quadratic elements will be created.
120 // Also fill myTLinkNodeMap
121 //=======================================================================
123 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
125 SMESHDS_Mesh* meshDS = GetMeshDS();
126 // we can create quadratic elements only if all elements
127 // created on sub-shapes of given shape are quadratic
128 // also we have to fill myTLinkNodeMap
129 myCreateQuadratic = true;
130 mySeamShapeIds.clear();
131 myDegenShapeIds.clear();
132 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
133 if ( aSh.ShapeType()==TopAbs_COMPOUND )
135 TopoDS_Iterator subIt( aSh );
137 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
139 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
142 int nbOldLinks = myTLinkNodeMap.size();
144 if ( !myMesh->HasShapeToMesh() )
146 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
148 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
149 while ( fIt->more() )
150 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
155 TopExp_Explorer exp( aSh, subType );
156 TopTools_MapOfShape checkedSubShapes;
157 for (; exp.More() && myCreateQuadratic; exp.Next()) {
158 if ( !checkedSubShapes.Add( exp.Current() ))
159 continue; // needed if aSh is compound of solids
160 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
161 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
163 const SMDS_MeshElement* e = it->next();
164 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
165 myCreateQuadratic = false;
170 switch ( e->NbCornerNodes() ) {
172 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
174 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
175 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
176 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
178 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
179 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
180 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
181 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
184 myCreateQuadratic = false;
194 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
195 if ( myTLinkNodeMap.empty() )
196 myCreateQuadratic = false;
198 if ( !myCreateQuadratic )
199 myTLinkNodeMap.clear();
203 return myCreateQuadratic;
206 //=======================================================================
207 //function : SetSubShape
208 //purpose : Set geometry to make elements on
209 //=======================================================================
211 void SMESH_MesherHelper::SetSubShape(const int aShID)
213 if ( aShID == myShapeID )
216 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
218 SetSubShape( TopoDS_Shape() );
221 //=======================================================================
222 //function : SetSubShape
223 //purpose : Set geometry to create elements on
224 //=======================================================================
226 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
228 if ( myShape.IsSame( aSh ))
232 mySeamShapeIds.clear();
233 myDegenShapeIds.clear();
235 if ( myShape.IsNull() ) {
239 SMESHDS_Mesh* meshDS = GetMeshDS();
240 myShapeID = meshDS->ShapeToIndex(aSh);
243 // treatment of periodic faces
244 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
246 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
247 BRepAdaptor_Surface surf( face, false );
248 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
249 myParIndex |= U_periodic;
250 myPar1[0] = surf.FirstUParameter();
251 myPar2[0] = surf.LastUParameter();
253 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
254 myParIndex |= V_periodic;
255 myPar1[1] = surf.FirstVParameter();
256 myPar2[1] = surf.LastVParameter();
260 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
262 // look for a "seam" edge, a real seam or an edge on period boundary
263 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
264 const int edgeID = meshDS->ShapeToIndex( edge );
267 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
268 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
269 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
271 bool isSeam = BRep_Tool::IsClosed( edge, face );
272 if ( isSeam ) // real seam - having two pcurves on face
274 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
277 double u1 = uv1.Coord(1);
279 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
280 double u2 = uv1.Coord(1);
281 myPar1[0] = Min( u1, u2 );
282 myPar2[0] = Max( u1, u2 );
286 double v1 = uv1.Coord(2);
288 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
289 double v2 = uv1.Coord(2);
290 myPar1[1] = Min( v1, v2 );
291 myPar2[1] = Max( v1, v2 );
294 else //if ( !isSeam )
296 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
297 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
299 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
300 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
302 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
304 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
305 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
307 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
309 double f,l, r = 0.2345;
310 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
311 uv2 = C2d->Value( f * r + l * ( 1.-r ));
312 if ( du < Precision::PConfusion() )
313 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
315 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
320 // store seam shape indices, negative if shape encounters twice ('real seam')
321 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
322 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
323 int vertexID = meshDS->ShapeToIndex( v.Current() );
324 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
328 // look for a degenerated edge
329 if ( SMESH_Algo::isDegenerated( edge )) {
330 myDegenShapeIds.insert( edgeID );
331 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
332 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
334 if ( !BRep_Tool::SameParameter( edge ) ||
335 !BRep_Tool::SameRange( edge ))
337 setPosOnShapeValidity( edgeID, false );
343 //=======================================================================
344 //function : GetNodeUVneedInFaceNode
345 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
346 // Return true if the face is periodic.
347 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
349 //=======================================================================
351 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
353 if ( F.IsNull() ) return !mySeamShapeIds.empty();
355 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
356 return !mySeamShapeIds.empty();
359 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
360 if ( !aSurface.IsNull() )
361 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
366 //=======================================================================
367 //function : IsMedium
369 //=======================================================================
371 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
372 const SMDSAbs_ElementType typeToCheck)
374 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
377 //=======================================================================
378 //function : GetSubShapeByNode
379 //purpose : Return support shape of a node
380 //=======================================================================
382 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
383 const SMESHDS_Mesh* meshDS)
385 int shapeID = node ? node->getshapeId() : 0;
386 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
387 return meshDS->IndexToShape( shapeID );
389 return TopoDS_Shape();
393 //=======================================================================
394 //function : AddTLinkNode
395 //purpose : add a link in my data structure
396 //=======================================================================
398 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
399 const SMDS_MeshNode* n2,
400 const SMDS_MeshNode* n12)
402 // add new record to map
403 SMESH_TLink link( n1, n2 );
404 myTLinkNodeMap.insert( make_pair(link,n12));
407 //================================================================================
409 * \brief Add quadratic links of edge to own data structure
411 //================================================================================
413 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
415 if ( edge && edge->IsQuadratic() )
416 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
422 //================================================================================
424 * \brief Add quadratic links of face to own data structure
426 //================================================================================
428 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
432 switch ( f->NbNodes() ) {
434 // myMapWithCentralNode.insert
435 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
437 // break; -- add medium nodes as well
439 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
440 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
441 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
444 // myMapWithCentralNode.insert
445 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
447 // break; -- add medium nodes as well
449 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
450 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
451 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
452 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
459 //================================================================================
461 * \brief Add quadratic links of volume to own data structure
463 //================================================================================
465 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
467 if ( volume->IsQuadratic() )
469 SMDS_VolumeTool vTool( volume );
470 const SMDS_MeshNode** nodes = vTool.GetNodes();
472 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
474 const int nbN = vTool.NbFaceNodes( iF );
475 const int* iNodes = vTool.GetFaceNodesIndices( iF );
476 for ( int i = 0; i < nbN; )
478 int iN1 = iNodes[i++];
479 int iN12 = iNodes[i++];
481 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
482 int linkID = iN1 * vTool.NbNodes() + iN2;
483 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
484 if ( it_isNew.second )
485 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
487 addedLinks.erase( it_isNew.first ); // each link encounters only twice
489 if ( vTool.NbNodes() == 27 )
491 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
492 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
493 myMapWithCentralNode.insert
494 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
495 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
504 //================================================================================
506 * \brief Return true if position of nodes on the shape hasn't yet been checked or
507 * the positions proved to be invalid
509 //================================================================================
511 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
513 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
514 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
517 //================================================================================
519 * \brief Set validity of positions of nodes on the shape.
520 * Once set, validity is not changed
522 //================================================================================
524 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
526 std::map< int,bool >::iterator sh_ok =
527 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
532 //=======================================================================
533 //function : ToFixNodeParameters
534 //purpose : Enables fixing node parameters on EDGEs and FACEs in
535 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
536 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
538 //=======================================================================
540 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
542 myFixNodeParameters = toFix;
546 //=======================================================================
547 //function : getUVOnSeam
548 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
549 //=======================================================================
551 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
553 gp_Pnt2d result = uv1;
554 for ( int i = U_periodic; i <= V_periodic ; ++i )
556 if ( myParIndex & i )
558 double p1 = uv1.Coord( i );
559 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
560 if ( myParIndex == i ||
561 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
562 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
564 double p2 = uv2.Coord( i );
565 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
566 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
567 result.SetCoord( i, p1Alt );
574 //=======================================================================
575 //function : GetNodeUV
576 //purpose : Return node UV on face
577 //=======================================================================
579 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
580 const SMDS_MeshNode* n,
581 const SMDS_MeshNode* n2,
584 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
586 const SMDS_PositionPtr Pos = n->GetPosition();
588 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
590 // node has position on face
591 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( Pos );
592 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
594 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
596 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
598 // node has position on EDGE => it is needed to find
599 // corresponding EDGE from FACE, get pcurve for this
600 // EDGE and retrieve value from this pcurve
601 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( Pos );
602 const int edgeID = n->getshapeId();
603 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
604 double f, l, u = epos->GetUParameter();
605 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
606 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
607 if ( validU ) uv = C2d->Value( u );
608 else uv.SetCoord( Precision::Infinite(),0.);
609 if ( check || !validU )
610 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
612 // for a node on a seam EDGE select one of UVs on 2 pcurves
613 if ( n2 && IsSeamShape( edgeID ))
615 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
618 { // adjust uv to period
620 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
621 Standard_Boolean isUPeriodic = S->IsUPeriodic();
622 Standard_Boolean isVPeriodic = S->IsVPeriodic();
624 if ( isUPeriodic || isVPeriodic ) {
625 Standard_Real UF,UL,VF,VL;
626 S->Bounds(UF,UL,VF,VL);
627 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
628 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
632 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
633 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
634 newUV.SetX( uv.X() );
635 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
636 newUV.SetY( uv.Y() );
642 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
644 if ( int vertexID = n->getshapeId() ) {
645 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
647 uv = BRep_Tool::Parameters( V, F );
650 catch (Standard_Failure& exc) {
653 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
654 uvOK = ( V == vert.Current() );
656 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
657 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
658 // get UV of a vertex closest to the node
660 gp_Pnt pn = XYZ( n );
661 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
662 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
663 gp_Pnt p = BRep_Tool::Pnt( curV );
664 double curDist = p.SquareDistance( pn );
665 if ( curDist < dist ) {
667 uv = BRep_Tool::Parameters( curV, F );
668 uvOK = ( dist < DBL_MIN );
674 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
675 for ( ; it.More(); it.Next() ) {
676 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
677 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
679 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
680 if ( !C2d.IsNull() ) {
681 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
682 uv = C2d->Value( u );
690 if ( n2 && IsSeamShape( vertexID ))
692 bool isSeam = ( myShape.IsSame( F ));
694 SMESH_MesherHelper h( *myMesh );
696 isSeam = IsSeamShape( vertexID );
700 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
706 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
709 if ( check && !uvOK )
715 //=======================================================================
716 //function : CheckNodeUV
717 //purpose : Check and fix node UV on a face
718 //=======================================================================
720 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
721 const SMDS_MeshNode* n,
725 double distXYZ[4]) const
727 int shapeID = n->getshapeId();
729 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
731 ( uv.X() == 0. && uv.Y() == 0. ) ||
732 ( toCheckPosOnShape( shapeID )))
734 // check that uv is correct
736 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
737 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
739 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
741 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
743 setPosOnShapeValidity( shapeID, false );
744 if ( !infinit && distXYZ ) {
745 surfPnt.Transform( loc );
747 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
749 // uv incorrect, project the node to surface
750 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
751 projector.Perform( nodePnt );
752 if ( !projector.IsDone() || projector.NbPoints() < 1 )
754 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
757 Quantity_Parameter U,V;
758 projector.LowerDistanceParameters(U,V);
760 surfPnt = surface->Value( U, V );
761 dist = nodePnt.Distance( surfPnt );
763 surfPnt.Transform( loc );
765 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
769 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
772 // store the fixed UV on the face
773 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
774 const_cast<SMDS_MeshNode*>(n)->SetPosition
775 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
777 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
779 setPosOnShapeValidity( shapeID, true );
785 //=======================================================================
786 //function : GetProjector
787 //purpose : Return projector intitialized by given face without location, which is returned
788 //=======================================================================
790 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
791 TopLoc_Location& loc,
794 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
795 int faceID = GetMeshDS()->ShapeToIndex( F );
796 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
797 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
798 if ( i_proj == i2proj.end() )
800 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
801 double U1, U2, V1, V2;
802 surface->Bounds(U1, U2, V1, V2);
803 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
804 proj->Init( surface, U1, U2, V1, V2, tol );
805 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
807 return *( i_proj->second );
810 //=======================================================================
811 //function : GetSurface
812 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
813 //=======================================================================
815 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F )
817 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
818 int faceID = GetMeshDS()->ShapeToIndex( F );
819 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
820 if ( i_surf == myFace2Surface.end() && faceID )
822 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
823 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
825 return i_surf->second;
830 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
831 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
832 gp_XY_FunPtr(Subtracted);
835 //=======================================================================
836 //function : ApplyIn2D
837 //purpose : Perform given operation on two 2d points in parameric space of given surface.
838 // It takes into account period of the surface. Use gp_XY_FunPtr macro
839 // to easily define pointer to function of gp_XY class.
840 //=======================================================================
842 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
846 const bool resultInPeriod)
848 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
849 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
850 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
851 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
852 if ( !isUPeriodic && !isVPeriodic )
855 // move uv2 not far than half-period from uv1
857 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
859 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
862 gp_XY res = fun( uv1, gp_XY(u2,v2) );
864 // move result within period
865 if ( resultInPeriod )
867 Standard_Real UF,UL,VF,VL;
868 surface->Bounds(UF,UL,VF,VL);
870 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
872 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
878 //=======================================================================
879 //function : AdjustByPeriod
880 //purpose : Move node positions on a FACE within surface period
881 //=======================================================================
883 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
885 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
886 ph->SetSubShape( face );
888 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
889 if ( ph->GetPeriodicIndex() & iCoo )
891 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
892 const double xRef = uv[0].Coord( iCoo );
893 for ( int i = 1; i < nbUV; ++i )
895 double x = uv[i].Coord( iCoo );
896 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
897 uv[i].SetCoord( iCoo, x + dx );
902 //=======================================================================
903 //function : GetMiddleUV
904 //purpose : Return middle UV taking in account surface period
905 //=======================================================================
907 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
912 // the proper place of getting basic surface seems to be in ApplyIn2D()
913 // but we put it here to decrease a risk of regressions just before releasing a version
914 // Handle(Geom_Surface) surf = surface;
915 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
916 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
918 return ApplyIn2D( surface, p1, p2, & AverageUV );
921 //=======================================================================
922 //function : GetCenterUV
923 //purpose : Return UV for the central node of a biquadratic triangle
924 //=======================================================================
926 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
932 bool * isBadTria/*=0*/)
935 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
937 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
938 uvAvg = ( uv1 + uv23 ) / 2.;
939 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
940 uvAvg = ( uv2 + uv31 ) / 2.;
941 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
942 uvAvg = ( uv3 + uv12 ) / 2.;
945 *isBadTria = badTria;
949 //=======================================================================
950 //function : GetNodeU
951 //purpose : Return node U on edge
952 //=======================================================================
954 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
955 const SMDS_MeshNode* n,
956 const SMDS_MeshNode* inEdgeNode,
959 double param = Precision::Infinite();
961 const SMDS_PositionPtr pos = n->GetPosition();
962 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
964 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
965 param = epos->GetUParameter();
967 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
969 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
972 BRep_Tool::Range( E, f,l );
973 double uInEdge = GetNodeU( E, inEdgeNode );
974 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
978 SMESHDS_Mesh * meshDS = GetMeshDS();
979 int vertexID = n->getshapeId();
980 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
981 param = BRep_Tool::Parameter( V, E );
986 double tol = BRep_Tool::Tolerance( E );
987 double f,l; BRep_Tool::Range( E, f,l );
988 bool force = ( param < f-tol || param > l+tol );
989 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
990 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
992 *check = CheckNodeU( E, n, param, 2*tol, force );
997 //=======================================================================
998 //function : CheckNodeU
999 //purpose : Check and fix node U on an edge
1000 // Return false if U is bad and could not be fixed
1001 //=======================================================================
1003 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1004 const SMDS_MeshNode* n,
1008 double distXYZ[4]) const
1010 int shapeID = n->getshapeId();
1012 if (( infinit = Precision::IsInfinite( u )) ||
1015 ( toCheckPosOnShape( shapeID )))
1017 TopLoc_Location loc; double f,l;
1018 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1019 if ( curve.IsNull() ) // degenerated edge
1021 if ( u+tol < f || u-tol > l )
1023 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1029 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1030 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1032 double dist = 2*tol;
1035 curvPnt = curve->Value( u );
1036 dist = nodePnt.Distance( curvPnt );
1038 curvPnt.Transform( loc );
1040 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1045 setPosOnShapeValidity( shapeID, false );
1046 // u incorrect, project the node to the curve
1047 int edgeID = GetMeshDS()->ShapeToIndex( E );
1048 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1049 TID2ProjectorOnCurve::iterator i_proj =
1050 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1051 if ( !i_proj->second )
1053 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1054 i_proj->second->Init( curve, f, l );
1056 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1057 projector->Perform( nodePnt );
1058 if ( projector->NbPoints() < 1 )
1060 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1063 Quantity_Parameter U = projector->LowerDistanceParameter();
1065 MESSAGE(" f " << f << " l " << l << " u " << u);
1066 curvPnt = curve->Value( u );
1067 dist = nodePnt.Distance( curvPnt );
1069 curvPnt.Transform( loc );
1071 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1075 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
1076 MESSAGE("distance " << dist << " " << tol );
1079 // store the fixed U on the edge
1080 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1081 const_cast<SMDS_MeshNode*>(n)->SetPosition
1082 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1084 else if ( fabs( u ) > numeric_limits<double>::min() )
1086 setPosOnShapeValidity( shapeID, true );
1088 if (( u < f-tol || u > l+tol ) && force )
1090 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1091 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1094 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1095 double period = curve->Period();
1096 u = ( u < f ) ? u + period : u - period;
1098 catch (Standard_Failure& exc)
1108 //=======================================================================
1109 //function : GetMediumPos
1110 //purpose : Return index and type of the shape (EDGE or FACE only) to
1111 // set a medium node on
1112 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1114 //param : expectedSupport - shape type corresponding to element being created,
1115 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1116 // basing on \a n1 and \a n2
1117 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1118 // case where the lower dim mesh is already constructed and converted to quadratic,
1119 // else, nodes on EDGEs are assigned to FACE, for example.
1120 //=======================================================================
1122 std::pair<int, TopAbs_ShapeEnum>
1123 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1124 const SMDS_MeshNode* n2,
1125 const bool useCurSubShape,
1126 TopAbs_ShapeEnum expectedSupport)
1128 if ( useCurSubShape && !myShape.IsNull() )
1129 return std::make_pair( myShapeID, myShape.ShapeType() );
1131 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1135 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1137 shapeType = myShape.ShapeType();
1138 shapeID = myShapeID;
1140 else if ( n1->getshapeId() == n2->getshapeId() )
1142 shapeID = n2->getshapeId();
1143 shape = GetSubShapeByNode( n1, GetMeshDS() );
1145 else // 2 different shapes
1147 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1148 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1150 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1154 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1157 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1159 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1160 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1161 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1162 if ( IsSubShape( S, F ))
1164 shapeType = TopAbs_FACE;
1165 shapeID = n1->getshapeId();
1169 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1171 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1172 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1173 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1175 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1177 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1178 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1179 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1180 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1182 else // on VERTEX and EDGE
1184 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1185 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1186 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1187 if ( IsSubShape( V, E ))
1190 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1194 if ( !shape.IsNull() )
1197 shapeID = GetMeshDS()->ShapeToIndex( shape );
1198 shapeType = shape.ShapeType(); // EDGE or FACE
1200 if ( expectedSupport < shapeType &&
1201 expectedSupport != TopAbs_SHAPE &&
1202 !myShape.IsNull() &&
1203 myShape.ShapeType() == expectedSupport )
1205 // e.g. a side of triangle connects nodes on the same EDGE but does not
1206 // lie on this EDGE (an arc with a coarse mesh)
1207 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1208 // hope that myShape is a right shape, return it if the found shape
1209 // has converted elements of corresponding dim (segments in our example)
1210 int nbConvertedElems = 0;
1211 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1212 for ( int iN = 0; iN < 2; ++iN )
1214 const SMDS_MeshNode* n = iN ? n2 : n1;
1215 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1216 while ( it->more() )
1218 const SMDS_MeshElement* elem = it->next();
1219 if ( elem->getshapeId() == shapeID &&
1220 elem->IsQuadratic() )
1227 if ( nbConvertedElems == 2 )
1229 shapeType = myShape.ShapeType();
1230 shapeID = myShapeID;
1234 return make_pair( shapeID, shapeType );
1237 //=======================================================================
1238 //function : GetCentralNode
1239 //purpose : Return existing or create a new central node for a quardilateral
1240 // quadratic face given its 8 nodes.
1241 //@param : force3d - true means node creation in between the given nodes,
1242 // else node position is found on a geometrical face if any.
1243 //=======================================================================
1245 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1246 const SMDS_MeshNode* n2,
1247 const SMDS_MeshNode* n3,
1248 const SMDS_MeshNode* n4,
1249 const SMDS_MeshNode* n12,
1250 const SMDS_MeshNode* n23,
1251 const SMDS_MeshNode* n34,
1252 const SMDS_MeshNode* n41,
1255 SMDS_MeshNode *centralNode = 0; // central node to return
1257 // Find an existing central node
1259 TBiQuad keyOfMap(n1,n2,n3,n4);
1260 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1261 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1262 if ( itMapCentralNode != myMapWithCentralNode.end() )
1264 return (*itMapCentralNode).second;
1267 // Get type of shape for the new central node
1269 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1273 TopTools_ListIteratorOfListOfShape it;
1275 std::map< int, int > faceId2nbNodes;
1276 std::map< int, int > ::iterator itMapWithIdFace;
1278 SMESHDS_Mesh* meshDS = GetMeshDS();
1280 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1281 // on sub-shapes of the FACE
1282 if ( GetMesh()->HasShapeToMesh() )
1284 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1285 for(int i = 0; i < 4; i++)
1287 shape = GetSubShapeByNode( nodes[i], meshDS );
1288 if ( shape.IsNull() ) break;
1289 if ( shape.ShapeType() == TopAbs_SOLID )
1291 solidID = nodes[i]->getshapeId();
1292 shapeType = TopAbs_SOLID;
1295 if ( shape.ShapeType() == TopAbs_FACE )
1297 faceID = nodes[i]->getshapeId();
1298 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1299 itMapWithIdFace->second++;
1303 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1304 while ( const TopoDS_Shape* face = it->next() )
1306 faceID = meshDS->ShapeToIndex( *face );
1307 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1308 itMapWithIdFace->second++;
1313 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1315 // find ID of the FACE the four corner nodes belong to
1316 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1317 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1318 itMapWithIdFace->second == 4 )
1320 shapeType = TopAbs_FACE;
1325 itMapWithIdFace = faceId2nbNodes.begin();
1326 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1328 if ( itMapWithIdFace->second == 4 )
1330 shapeType = TopAbs_FACE;
1331 faceID = (*itMapWithIdFace).first;
1339 if ( shapeType == TopAbs_FACE )
1341 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1348 bool toCheck = true;
1349 if ( !F.IsNull() && !force3d )
1352 GetNodeUV( F,n1, n3, &toCheck ),
1353 GetNodeUV( F,n2, n4, &toCheck ),
1354 GetNodeUV( F,n3, n1, &toCheck ),
1355 GetNodeUV( F,n4, n2, &toCheck ),
1356 GetNodeUV( F,n12, n3 ),
1357 GetNodeUV( F,n23, n4 ),
1358 GetNodeUV( F,n34, n2 ),
1359 GetNodeUV( F,n41, n2 )
1361 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1363 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1365 TopLoc_Location loc;
1366 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1367 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1368 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1369 // if ( mySetElemOnShape ) node is not elem!
1370 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1372 else // ( force3d || F.IsNull() )
1374 P = calcTFI (0.5, 0.5,
1375 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1376 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1377 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1378 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1379 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1381 if ( !F.IsNull() ) // force3d
1383 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1384 GetNodeUV(F,n2,n4,&toCheck) +
1385 GetNodeUV(F,n3,n1,&toCheck) +
1386 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1387 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1388 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1390 else if ( solidID > 0 )
1392 meshDS->SetNodeInVolume( centralNode, solidID );
1394 else if ( myShapeID > 0 && mySetElemOnShape )
1396 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1399 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1403 //=======================================================================
1404 //function : GetCentralNode
1405 //purpose : Return existing or create a new central node for a
1406 // quadratic triangle given its 6 nodes.
1407 //@param : force3d - true means node creation in between the given nodes,
1408 // else node position is found on a geometrical face if any.
1409 //=======================================================================
1411 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1412 const SMDS_MeshNode* n2,
1413 const SMDS_MeshNode* n3,
1414 const SMDS_MeshNode* n12,
1415 const SMDS_MeshNode* n23,
1416 const SMDS_MeshNode* n31,
1419 SMDS_MeshNode *centralNode = 0; // central node to return
1421 // Find an existing central node
1423 TBiQuad keyOfMap(n1,n2,n3);
1424 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1425 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1426 if ( itMapCentralNode != myMapWithCentralNode.end() )
1428 return (*itMapCentralNode).second;
1431 // Get type of shape for the new central node
1433 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1437 TopTools_ListIteratorOfListOfShape it;
1439 std::map< int, int > faceId2nbNodes;
1440 std::map< int, int > ::iterator itMapWithIdFace;
1442 SMESHDS_Mesh* meshDS = GetMeshDS();
1444 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1445 // on sub-shapes of the FACE
1446 if ( GetMesh()->HasShapeToMesh() )
1448 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1449 for(int i = 0; i < 3; i++)
1451 shape = GetSubShapeByNode( nodes[i], meshDS );
1452 if ( shape.IsNull() ) break;
1453 if ( shape.ShapeType() == TopAbs_SOLID )
1455 solidID = nodes[i]->getshapeId();
1456 shapeType = TopAbs_SOLID;
1459 if ( shape.ShapeType() == TopAbs_FACE )
1461 faceID = nodes[i]->getshapeId();
1462 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1463 itMapWithIdFace->second++;
1467 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1468 while ( const TopoDS_Shape* face = it->next() )
1470 faceID = meshDS->ShapeToIndex( *face );
1471 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1472 itMapWithIdFace->second++;
1477 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1479 // find ID of the FACE the four corner nodes belong to
1480 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1481 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1482 itMapWithIdFace->second == 4 )
1484 shapeType = TopAbs_FACE;
1489 itMapWithIdFace = faceId2nbNodes.begin();
1490 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1492 if ( itMapWithIdFace->second == 3 )
1494 shapeType = TopAbs_FACE;
1495 faceID = (*itMapWithIdFace).first;
1505 if ( shapeType == TopAbs_FACE )
1507 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1508 bool checkOK = true, badTria = false;
1510 GetNodeUV( F, n1, n23, &checkOK ),
1511 GetNodeUV( F, n2, n31, &checkOK ),
1512 GetNodeUV( F, n3, n12, &checkOK ),
1513 GetNodeUV( F, n12, n3, &checkOK ),
1514 GetNodeUV( F, n23, n1, &checkOK ),
1515 GetNodeUV( F, n31, n2, &checkOK )
1517 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1519 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1521 if ( badTria || !checkOK )
1525 // Create a central node
1528 if ( !F.IsNull() && !force3d )
1530 TopLoc_Location loc;
1531 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1532 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1533 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1534 // if ( mySetElemOnShape ) node is not elem!
1535 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1537 else // ( force3d || F.IsNull() )
1539 P = ( SMESH_TNodeXYZ( n12 ) +
1540 SMESH_TNodeXYZ( n23 ) +
1541 SMESH_TNodeXYZ( n31 ) ) / 3;
1542 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1544 if ( !F.IsNull() ) // force3d
1546 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1548 else if ( solidID > 0 )
1550 meshDS->SetNodeInVolume( centralNode, solidID );
1552 else if ( myShapeID > 0 && mySetElemOnShape )
1554 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1557 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1561 //=======================================================================
1562 //function : GetMediumNode
1563 //purpose : Return existing or create a new medium node between given ones
1564 //=======================================================================
1566 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1567 const SMDS_MeshNode* n2,
1569 TopAbs_ShapeEnum expectedSupport)
1571 // Find existing node
1573 SMESH_TLink link(n1,n2);
1574 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1575 if ( itLN != myTLinkNodeMap.end() ) {
1576 return (*itLN).second;
1579 // Create medium node
1582 SMESHDS_Mesh* meshDS = GetMeshDS();
1584 if ( IsSeamShape( n1->getshapeId() ))
1585 // to get a correct UV of a node on seam, the second node must have checked UV
1586 std::swap( n1, n2 );
1588 // get type of shape for the new medium node
1589 int faceID = -1, edgeID = -1;
1590 TopoDS_Edge E; double u [2];
1591 TopoDS_Face F; gp_XY uv[2];
1592 bool uvOK[2] = { true, true };
1593 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1595 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1597 // get positions of the given nodes on shapes
1598 if ( pos.second == TopAbs_FACE )
1600 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1601 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1602 if ( HasDegeneratedEdges() && !force3d ) // IPAL52850 (degen VERTEX not at singularity)
1604 // project middle point to a surface
1605 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1606 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1607 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
1610 uvMid = projector->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1612 uvMid = projector->ValueOfUV( pMid, getFaceMaxTol( F ));
1613 if ( projector->Gap() * projector->Gap() < ( p1 - p2 ).SquareModulus() / 4 )
1615 gp_Pnt pProj = projector->Value( uvMid );
1616 n12 = meshDS->AddNode( pProj.X(), pProj.Y(), pProj.Z() );
1617 meshDS->SetNodeOnFace( n12, faceID, uvMid.X(), uvMid.Y() );
1618 myTLinkNodeMap.insert( make_pair ( link, n12 ));
1622 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1624 else if ( pos.second == TopAbs_EDGE )
1626 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1627 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1628 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1629 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1630 n1->getshapeId() != n2->getshapeId() )
1633 return getMediumNodeOnComposedWire(n1,n2,force3d);
1635 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1637 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1638 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1640 catch ( Standard_Failure& f )
1642 // issue 22502 / a node is on VERTEX not belonging to E
1643 // issue 22568 / both nodes are on non-connected VERTEXes
1644 return getMediumNodeOnComposedWire(n1,n2,force3d);
1648 if ( !force3d & uvOK[0] && uvOK[1] )
1650 // we try to create medium node using UV parameters of
1651 // nodes, else - medium between corresponding 3d points
1654 //if ( uvOK[0] && uvOK[1] )
1656 if ( IsDegenShape( n1->getshapeId() )) {
1657 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1658 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1660 else if ( IsDegenShape( n2->getshapeId() )) {
1661 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1662 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1664 TopLoc_Location loc;
1665 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1666 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1667 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1668 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1669 // if ( mySetElemOnShape ) node is not elem!
1670 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1671 myTLinkNodeMap.insert(make_pair(link,n12));
1675 else if ( !E.IsNull() )
1678 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1681 Standard_Boolean isPeriodic = C->IsPeriodic();
1684 Standard_Real Period = C->Period();
1685 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1686 Standard_Real pmid = (u[0]+p)/2.;
1687 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1692 gp_Pnt P = C->Value( U );
1693 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1694 //if ( mySetElemOnShape ) node is not elem!
1695 meshDS->SetNodeOnEdge(n12, edgeID, U);
1696 myTLinkNodeMap.insert(make_pair(link,n12));
1703 double x = ( n1->X() + n2->X() )/2.;
1704 double y = ( n1->Y() + n2->Y() )/2.;
1705 double z = ( n1->Z() + n2->Z() )/2.;
1706 n12 = meshDS->AddNode(x,y,z);
1708 //if ( mySetElemOnShape ) node is not elem!
1712 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1713 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1714 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1716 else if ( !E.IsNull() )
1718 double U = ( u[0] + u[1] ) / 2.;
1719 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1720 meshDS->SetNodeOnEdge(n12, edgeID, U);
1722 else if ( myShapeID > 0 && mySetElemOnShape )
1724 meshDS->SetMeshElementOnShape(n12, myShapeID);
1728 myTLinkNodeMap.insert( make_pair( link, n12 ));
1732 //================================================================================
1734 * \brief Makes a medium node if nodes reside different edges
1736 //================================================================================
1738 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1739 const SMDS_MeshNode* n2,
1742 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1743 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1744 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1746 // To find position on edge and 3D position for n12,
1747 // project <middle> to 2 edges and select projection most close to <middle>
1749 TopoDS_Edge bestEdge;
1750 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1752 // get shapes under the nodes
1753 TopoDS_Shape shape[2];
1755 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1757 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1758 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1760 shape[ nbShapes++ ] = S;
1763 vector< TopoDS_Shape > edges;
1764 for ( int iS = 0; iS < nbShapes; ++iS )
1766 switch ( shape[iS].ShapeType() ) {
1769 edges.push_back( shape[iS] );
1775 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1776 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1778 if ( edge.IsNull() )
1780 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1781 while( const TopoDS_Shape* e = eIt->next() )
1782 edges.push_back( *e );
1788 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1789 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1790 edges.push_back( e.Current() );
1797 // project to get U of projection and distance from middle to projection
1798 for ( size_t iE = 0; iE < edges.size(); ++iE )
1800 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1801 distXYZ[0] = distMiddleProj;
1803 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1804 if ( distXYZ[0] < distMiddleProj )
1806 distMiddleProj = distXYZ[0];
1812 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1813 // TopoDS_Vertex vCommon;
1814 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1815 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1818 // double f,l, u0 = GetNodeU( edges[0], n1 );
1819 // BRep_Tool::Range( edges[0],f,l );
1820 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1823 // distMiddleProj = 0;
1826 if ( !bestEdge.IsNull() )
1828 // move n12 to position of a successfull projection
1829 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1830 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1832 TopLoc_Location loc;
1833 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1834 gp_Pnt p = curve->Value( u ).Transformed( loc );
1835 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1837 //if ( mySetElemOnShape ) node is not elem!
1839 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1840 if ( edgeID != n12->getshapeId() )
1841 GetMeshDS()->UnSetNodeOnShape( n12 );
1842 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1845 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1850 //=======================================================================
1851 //function : AddNode
1852 //purpose : Creates a node
1853 //=======================================================================
1855 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1858 SMESHDS_Mesh * meshDS = GetMeshDS();
1859 SMDS_MeshNode* node = 0;
1861 node = meshDS->AddNodeWithID( x, y, z, ID );
1863 node = meshDS->AddNode( x, y, z );
1864 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1865 switch ( myShape.ShapeType() ) {
1866 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1867 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1868 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1869 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1870 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1877 //=======================================================================
1878 //function : AddEdge
1879 //purpose : Creates quadratic or linear edge
1880 //=======================================================================
1882 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1883 const SMDS_MeshNode* n2,
1887 SMESHDS_Mesh * meshDS = GetMeshDS();
1889 SMDS_MeshEdge* edge = 0;
1890 if (myCreateQuadratic) {
1891 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1893 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1895 edge = meshDS->AddEdge(n1, n2, n12);
1899 edge = meshDS->AddEdgeWithID(n1, n2, id);
1901 edge = meshDS->AddEdge(n1, n2);
1904 if ( mySetElemOnShape && myShapeID > 0 )
1905 meshDS->SetMeshElementOnShape( edge, myShapeID );
1910 //=======================================================================
1911 //function : AddFace
1912 //purpose : Creates quadratic or linear triangle
1913 //=======================================================================
1915 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1916 const SMDS_MeshNode* n2,
1917 const SMDS_MeshNode* n3,
1921 SMESHDS_Mesh * meshDS = GetMeshDS();
1922 SMDS_MeshFace* elem = 0;
1924 if( n1==n2 || n2==n3 || n3==n1 )
1927 if(!myCreateQuadratic) {
1929 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1931 elem = meshDS->AddFace(n1, n2, n3);
1934 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1935 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1936 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1937 if(myCreateBiQuadratic)
1939 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1941 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1943 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1948 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1950 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1953 if ( mySetElemOnShape && myShapeID > 0 )
1954 meshDS->SetMeshElementOnShape( elem, myShapeID );
1959 //=======================================================================
1960 //function : AddFace
1961 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1962 //=======================================================================
1964 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1965 const SMDS_MeshNode* n2,
1966 const SMDS_MeshNode* n3,
1967 const SMDS_MeshNode* n4,
1971 SMESHDS_Mesh * meshDS = GetMeshDS();
1972 SMDS_MeshFace* elem = 0;
1975 return AddFace(n1,n3,n4,id,force3d);
1978 return AddFace(n1,n2,n4,id,force3d);
1981 return AddFace(n1,n2,n3,id,force3d);
1984 return AddFace(n1,n2,n4,id,force3d);
1987 return AddFace(n1,n2,n3,id,force3d);
1990 return AddFace(n1,n2,n3,id,force3d);
1993 if(!myCreateQuadratic) {
1995 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1997 elem = meshDS->AddFace(n1, n2, n3, n4);
2000 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2001 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2002 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2003 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2004 if(myCreateBiQuadratic)
2006 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2008 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2010 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2015 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2017 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2020 if ( mySetElemOnShape && myShapeID > 0 )
2021 meshDS->SetMeshElementOnShape( elem, myShapeID );
2026 //=======================================================================
2027 //function : AddPolygonalFace
2028 //purpose : Creates polygon, with additional nodes in quadratic mesh
2029 //=======================================================================
2031 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2035 SMESHDS_Mesh * meshDS = GetMeshDS();
2036 SMDS_MeshFace* elem = 0;
2038 if(!myCreateQuadratic)
2041 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2043 elem = meshDS->AddPolygonalFace(nodes);
2047 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2049 for ( int i = 0; i < nodes.size(); ++i )
2051 const SMDS_MeshNode* n1 = nodes[i];
2052 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2053 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2054 newNodes.push_back( n12 );
2057 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2059 elem = meshDS->AddQuadPolygonalFace(newNodes);
2061 if ( mySetElemOnShape && myShapeID > 0 )
2062 meshDS->SetMeshElementOnShape( elem, myShapeID );
2067 //=======================================================================
2068 //function : AddVolume
2069 //purpose : Creates quadratic or linear prism
2070 //=======================================================================
2072 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2073 const SMDS_MeshNode* n2,
2074 const SMDS_MeshNode* n3,
2075 const SMDS_MeshNode* n4,
2076 const SMDS_MeshNode* n5,
2077 const SMDS_MeshNode* n6,
2081 SMESHDS_Mesh * meshDS = GetMeshDS();
2082 SMDS_MeshVolume* elem = 0;
2083 if(!myCreateQuadratic) {
2085 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2087 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2090 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2091 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2092 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2094 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2095 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2096 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2098 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2099 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2100 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2103 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2104 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2106 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2107 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2109 if ( mySetElemOnShape && myShapeID > 0 )
2110 meshDS->SetMeshElementOnShape( elem, myShapeID );
2115 //=======================================================================
2116 //function : AddVolume
2117 //purpose : Creates quadratic or linear tetrahedron
2118 //=======================================================================
2120 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2121 const SMDS_MeshNode* n2,
2122 const SMDS_MeshNode* n3,
2123 const SMDS_MeshNode* n4,
2127 SMESHDS_Mesh * meshDS = GetMeshDS();
2128 SMDS_MeshVolume* elem = 0;
2129 if(!myCreateQuadratic) {
2131 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2133 elem = meshDS->AddVolume(n1, n2, n3, n4);
2136 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2137 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2138 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2140 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2141 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2142 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2145 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2147 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2149 if ( mySetElemOnShape && myShapeID > 0 )
2150 meshDS->SetMeshElementOnShape( elem, myShapeID );
2155 //=======================================================================
2156 //function : AddVolume
2157 //purpose : Creates quadratic or linear pyramid
2158 //=======================================================================
2160 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2161 const SMDS_MeshNode* n2,
2162 const SMDS_MeshNode* n3,
2163 const SMDS_MeshNode* n4,
2164 const SMDS_MeshNode* n5,
2168 SMDS_MeshVolume* elem = 0;
2169 if(!myCreateQuadratic) {
2171 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2173 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2176 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2177 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2178 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2179 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2181 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2182 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2183 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2184 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2187 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2192 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2194 n15, n25, n35, n45);
2196 if ( mySetElemOnShape && myShapeID > 0 )
2197 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2202 //=======================================================================
2203 //function : AddVolume
2204 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2205 //=======================================================================
2207 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2208 const SMDS_MeshNode* n2,
2209 const SMDS_MeshNode* n3,
2210 const SMDS_MeshNode* n4,
2211 const SMDS_MeshNode* n5,
2212 const SMDS_MeshNode* n6,
2213 const SMDS_MeshNode* n7,
2214 const SMDS_MeshNode* n8,
2218 SMESHDS_Mesh * meshDS = GetMeshDS();
2219 SMDS_MeshVolume* elem = 0;
2220 if(!myCreateQuadratic) {
2222 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2224 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2227 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2228 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2229 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2230 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2232 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2233 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2234 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2235 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2237 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2238 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2239 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2240 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2241 if ( myCreateBiQuadratic )
2243 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2244 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2245 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2246 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2247 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2248 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2250 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2252 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2253 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2254 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2255 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2256 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2257 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2258 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2259 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2261 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2262 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2263 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2264 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2265 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2266 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2267 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2268 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2269 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2270 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2271 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2272 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2274 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2275 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2276 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2277 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2278 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2279 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2281 gp_XYZ centerCube(0.5, 0.5, 0.5);
2283 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2284 const SMDS_MeshNode* nCenter =
2285 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2286 meshDS->SetNodeInVolume( nCenter, myShapeID );
2289 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2290 n12, n23, n34, n41, n56, n67,
2291 n78, n85, n15, n26, n37, n48,
2292 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2294 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2295 n12, n23, n34, n41, n56, n67,
2296 n78, n85, n15, n26, n37, n48,
2297 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2302 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2303 n12, n23, n34, n41, n56, n67,
2304 n78, n85, n15, n26, n37, n48, id);
2306 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2307 n12, n23, n34, n41, n56, n67,
2308 n78, n85, n15, n26, n37, n48);
2311 if ( mySetElemOnShape && myShapeID > 0 )
2312 meshDS->SetMeshElementOnShape( elem, myShapeID );
2317 //=======================================================================
2318 //function : AddVolume
2319 //purpose : Creates LINEAR!!!!!!!!! octahedron
2320 //=======================================================================
2322 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2323 const SMDS_MeshNode* n2,
2324 const SMDS_MeshNode* n3,
2325 const SMDS_MeshNode* n4,
2326 const SMDS_MeshNode* n5,
2327 const SMDS_MeshNode* n6,
2328 const SMDS_MeshNode* n7,
2329 const SMDS_MeshNode* n8,
2330 const SMDS_MeshNode* n9,
2331 const SMDS_MeshNode* n10,
2332 const SMDS_MeshNode* n11,
2333 const SMDS_MeshNode* n12,
2337 SMESHDS_Mesh * meshDS = GetMeshDS();
2338 SMDS_MeshVolume* elem = 0;
2340 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2342 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2343 if ( mySetElemOnShape && myShapeID > 0 )
2344 meshDS->SetMeshElementOnShape( elem, myShapeID );
2348 //=======================================================================
2349 //function : AddPolyhedralVolume
2350 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2351 //=======================================================================
2354 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2355 const std::vector<int>& quantities,
2359 SMESHDS_Mesh * meshDS = GetMeshDS();
2360 SMDS_MeshVolume* elem = 0;
2361 if(!myCreateQuadratic)
2364 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2366 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2370 vector<const SMDS_MeshNode*> newNodes;
2371 vector<int> newQuantities;
2372 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2374 int nbNodesInFace = quantities[iFace];
2375 newQuantities.push_back(0);
2376 for ( int i = 0; i < nbNodesInFace; ++i )
2378 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2379 newNodes.push_back( n1 );
2380 newQuantities.back()++;
2382 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2383 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2384 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2386 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2387 newNodes.push_back( n12 );
2388 newQuantities.back()++;
2391 iN += nbNodesInFace;
2394 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2396 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2398 if ( mySetElemOnShape && myShapeID > 0 )
2399 meshDS->SetMeshElementOnShape( elem, myShapeID );
2406 //================================================================================
2408 * \brief Check if a node belongs to any face of sub-mesh
2410 //================================================================================
2412 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2414 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2415 while ( fIt->more() )
2416 if ( sm->Contains( fIt->next() ))
2422 //=======================================================================
2423 //function : IsSameElemGeometry
2424 //purpose : Returns true if all elements of a sub-mesh are of same shape
2425 //=======================================================================
2427 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2428 SMDSAbs_GeometryType shape,
2429 const bool nullSubMeshRes)
2431 if ( !smDS ) return nullSubMeshRes;
2433 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2434 while ( elemIt->more() ) {
2435 const SMDS_MeshElement* e = elemIt->next();
2436 if ( e->GetGeomType() != shape )
2442 //=======================================================================
2443 //function : LoadNodeColumns
2444 //purpose : Load nodes bound to face into a map of node columns
2445 //=======================================================================
2447 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2448 const TopoDS_Face& theFace,
2449 const TopoDS_Edge& theBaseEdge,
2450 SMESHDS_Mesh* theMesh,
2451 SMESH_ProxyMesh* theProxyMesh)
2453 return LoadNodeColumns(theParam2ColumnMap,
2455 std::list<TopoDS_Edge>(1,theBaseEdge),
2460 //=======================================================================
2461 //function : LoadNodeColumns
2462 //purpose : Load nodes bound to face into a map of node columns
2463 //=======================================================================
2465 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2466 const TopoDS_Face& theFace,
2467 const std::list<TopoDS_Edge>& theBaseSide,
2468 SMESHDS_Mesh* theMesh,
2469 SMESH_ProxyMesh* theProxyMesh)
2471 // get a right sub-mesh of theFace
2473 const SMESHDS_SubMesh* faceSubMesh = 0;
2476 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2477 if ( !faceSubMesh ||
2478 faceSubMesh->NbElements() == 0 ||
2479 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2481 // can use a proxy sub-mesh with not temporary elements only
2487 faceSubMesh = theMesh->MeshElements( theFace );
2488 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2491 if ( theParam2ColumnMap.empty() )
2493 // get data of edges for normalization of params
2494 vector< double > length;
2496 list<TopoDS_Edge>::const_iterator edge;
2498 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2500 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2502 length.push_back( len );
2506 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2507 edge = theBaseSide.begin();
2508 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2510 map< double, const SMDS_MeshNode*> sortedBaseNN;
2511 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2513 map< double, const SMDS_MeshNode*>::iterator u_n;
2514 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2515 // so the following solution is commented (hope forever :)
2517 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2518 // // SMDSAbs_Edge here is needed to be coherent with
2519 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2520 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2521 // // medium node on EDGE is medium in a triangle but not
2524 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2525 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2526 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2528 // const SMDS_MeshNode* node = u_n->second;
2529 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2530 // if ( faceIt->more() && node ) {
2531 // const SMDS_MeshElement* face = faceIt->next();
2532 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2536 // sortedBaseNN.erase( u_n++ );
2540 if ( sortedBaseNN.empty() ) continue;
2542 u_n = sortedBaseNN.begin();
2543 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2545 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2546 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2547 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2548 n2 != theProxyMesh->GetProxyNode( n2 ));
2549 if ( allNodesAreProxy )
2550 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2551 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2553 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2555 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2556 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2558 if ( !sortedBaseNN.empty() )
2559 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2561 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2562 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2564 if ( sortedBaseNN.empty() ) continue;
2568 BRep_Tool::Range( *edge, f, l );
2569 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2570 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2571 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2572 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2574 double par = prevPar + coeff * ( u_n->first - f );
2575 TParam2ColumnMap::iterator u2nn =
2576 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2577 u2nn->second.push_back( u_n->second );
2580 if ( theParam2ColumnMap.size() < 2 )
2585 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2586 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2588 // fill theParam2ColumnMap column by column by passing from nodes on
2589 // theBaseEdge up via mesh faces on theFace
2591 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2592 par_nVec_2 = theParam2ColumnMap.begin();
2593 par_nVec_1 = par_nVec_2++;
2594 TIDSortedElemSet emptySet, avoidSet;
2595 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2597 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2598 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2599 nCol1.resize( prevNbRows + expectedNbRows );
2600 nCol2.resize( prevNbRows + expectedNbRows );
2602 int i1, i2, foundNbRows = 0;
2603 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2604 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2605 // find face sharing node n1 and n2 and belonging to faceSubMesh
2606 while ( const SMDS_MeshElement* face =
2607 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2609 if ( faceSubMesh->Contains( face ))
2611 int nbNodes = face->NbCornerNodes();
2614 if ( foundNbRows + 1 > expectedNbRows )
2616 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2617 n2 = face->GetNode( (i1+2) % 4 );
2618 nCol1[ prevNbRows + foundNbRows] = n1;
2619 nCol2[ prevNbRows + foundNbRows] = n2;
2622 avoidSet.insert( face );
2624 if ( foundNbRows != expectedNbRows )
2628 return ( theParam2ColumnMap.size() > 1 &&
2629 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2634 //================================================================================
2636 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2638 //================================================================================
2640 bool isCornerOfStructure( const SMDS_MeshNode* n,
2641 const SMESHDS_SubMesh* faceSM,
2642 SMESH_MesherHelper& faceAnalyser )
2644 int nbFacesInSM = 0;
2646 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2647 while ( fIt->more() )
2648 nbFacesInSM += faceSM->Contains( fIt->next() );
2650 if ( nbFacesInSM == 1 )
2653 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2655 return faceAnalyser.IsRealSeam( n->getshapeId() );
2661 //=======================================================================
2662 //function : IsStructured
2663 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2664 //=======================================================================
2666 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2668 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2669 if ( !fSM || fSM->NbElements() == 0 )
2672 list< TopoDS_Edge > edges;
2673 list< int > nbEdgesInWires;
2674 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2675 edges, nbEdgesInWires );
2676 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2679 // algo: find corners of a structure and then analyze nb of faces and
2680 // length of structure sides
2682 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2683 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2684 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2686 // rotate edges to get the first node being at corner
2687 // (in principle it's not necessary because so far none SALOME algo can make
2688 // such a structured mesh that all corner nodes are not on VERTEXes)
2689 bool isCorner = false;
2690 int nbRemainEdges = nbEdgesInWires.front();
2692 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2693 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2696 edges.splice( edges.end(), edges, edges.begin() );
2700 while ( !isCorner && nbRemainEdges > 0 );
2705 // get all nodes from EDGEs
2706 list< const SMDS_MeshNode* > nodes;
2707 list< TopoDS_Edge >::iterator edge = edges.begin();
2708 for ( ; edge != edges.end(); ++edge )
2710 map< double, const SMDS_MeshNode* > u2Nodes;
2711 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2712 /*skipMedium=*/true, u2Nodes ))
2715 list< const SMDS_MeshNode* > edgeNodes;
2716 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2717 for ( ; u2n != u2Nodes.end(); ++u2n )
2718 edgeNodes.push_back( u2n->second );
2719 if ( edge->Orientation() == TopAbs_REVERSED )
2720 edgeNodes.reverse();
2722 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2723 edgeNodes.pop_front();
2724 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2727 // get length of structured sides
2728 vector<int> nbEdgesInSide;
2730 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2731 for ( ; n != nodes.end(); ++n )
2734 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2735 nbEdgesInSide.push_back( nbEdges );
2741 if ( nbEdgesInSide.size() != 4 )
2743 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2745 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2747 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2753 //=======================================================================
2754 //function : IsDistorted2D
2755 //purpose : Return true if 2D mesh on FACE is ditorted
2756 //=======================================================================
2758 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2761 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2764 bool haveBadFaces = false;
2766 SMESH_MesherHelper helper( *faceSM->GetFather() );
2767 helper.SetSubShape( faceSM->GetSubShape() );
2769 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2770 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2771 if ( !smDS || smDS->NbElements() == 0 ) return false;
2773 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2774 double prevArea = 0;
2775 vector< const SMDS_MeshNode* > nodes;
2777 bool* toCheckUV = checkUV ? & checkUV : 0;
2778 while ( faceIt->more() && !haveBadFaces )
2780 const SMDS_MeshElement* face = faceIt->next();
2783 nodes.resize( face->NbCornerNodes() );
2784 SMDS_MeshElement::iterator n = face->begin_nodes();
2785 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2788 // avoid elems on degenarate shapes as UV on them can be wrong
2789 if ( helper.HasDegeneratedEdges() )
2791 bool isOnDegen = false;
2792 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2793 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2797 // prepare to getting UVs
2798 const SMDS_MeshNode* inFaceNode = 0;
2799 if ( helper.HasSeam() ) {
2800 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2801 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2802 inFaceNode = nodes[ i ];
2807 uv.resize( nodes.size() );
2808 for ( size_t i = 0; i < nodes.size(); ++i )
2809 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2811 // compare orientation of triangles
2812 double faceArea = 0;
2813 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2815 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2816 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2817 faceArea += v2 ^ v1;
2819 haveBadFaces = ( faceArea * prevArea < 0 );
2820 prevArea = faceArea;
2823 return haveBadFaces;
2826 //================================================================================
2828 * \brief Find out elements orientation on a geometrical face
2829 * \param theFace - The face correctly oriented in the shape being meshed
2830 * \retval bool - true if the face normal and the normal of first element
2831 * in the correspoding submesh point in different directions
2833 //================================================================================
2835 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2837 if ( theFace.IsNull() )
2840 // find out orientation of a meshed face
2841 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2842 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2843 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2845 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2846 if ( !aSubMeshDSFace )
2849 // find an element on a bounday of theFace
2850 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2851 const SMDS_MeshNode* nn[2];
2852 while ( iteratorElem->more() ) // loop on elements on theFace
2854 const SMDS_MeshElement* elem = iteratorElem->next();
2855 if ( ! elem ) continue;
2857 // look for 2 nodes on EDGE
2858 int nbNodes = elem->NbCornerNodes();
2859 nn[0] = elem->GetNode( nbNodes-1 );
2860 for ( int iN = 0; iN < nbNodes; ++iN )
2862 nn[1] = elem->GetNode( iN );
2863 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2864 nn[1]->GetPosition()->GetDim() < 2 )
2866 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2867 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2868 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2869 if ( !E.IsNull() && !s0.IsSame( s1 ))
2873 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2874 if ( E.IsSame( exp.Current() )) {
2876 E = exp.Current(); // to know orientation
2881 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2882 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2885 isReversed = ( u0 > u1 );
2886 if ( E.Orientation() == TopAbs_REVERSED )
2887 isReversed = !isReversed;
2897 // find an element with a good normal
2899 bool normalOK = false;
2901 iteratorElem = aSubMeshDSFace->GetElements();
2902 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2904 const SMDS_MeshElement* elem = iteratorElem->next();
2905 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2909 // get UV of a node inside theFACE
2910 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2911 const SMDS_MeshNode* nInFace = 0;
2912 int iPosDim = SMDS_TOP_VERTEX;
2913 while ( nodesIt->more() ) // loop on nodes
2915 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2916 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2919 iPosDim = n->GetPosition()->GetTypeOfPosition();
2922 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2927 // face normal at node position
2928 TopLoc_Location loc;
2929 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2930 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2931 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2932 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2935 gp_Vec d1u, d1v; gp_Pnt p;
2936 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2937 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2939 if ( theFace.Orientation() == TopAbs_REVERSED )
2942 return Ne * Nf < 0.;
2945 //=======================================================================
2947 //purpose : Count nb of sub-shapes
2948 //=======================================================================
2950 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2951 const TopAbs_ShapeEnum type,
2952 const bool ignoreSame)
2955 TopTools_IndexedMapOfShape map;
2956 TopExp::MapShapes( shape, type, map );
2957 return map.Extent();
2961 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2967 //=======================================================================
2968 //function : NbAncestors
2969 //purpose : Return number of unique ancestors of the shape
2970 //=======================================================================
2972 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2973 const SMESH_Mesh& mesh,
2974 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2976 TopTools_MapOfShape ancestors;
2977 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2978 for ( ; ansIt.More(); ansIt.Next() ) {
2979 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2980 ancestors.Add( ansIt.Value() );
2982 return ancestors.Extent();
2985 //=======================================================================
2986 //function : GetSubShapeOri
2987 //purpose : Return orientation of sub-shape in the main shape
2988 //=======================================================================
2990 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2991 const TopoDS_Shape& subShape)
2993 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2994 if ( !shape.IsNull() && !subShape.IsNull() )
2996 TopExp_Explorer e( shape, subShape.ShapeType() );
2997 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2998 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2999 for ( ; e.More(); e.Next())
3000 if ( subShape.IsSame( e.Current() ))
3003 ori = e.Current().Orientation();
3008 //=======================================================================
3009 //function : IsSubShape
3011 //=======================================================================
3013 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3014 const TopoDS_Shape& mainShape )
3016 if ( !shape.IsNull() && !mainShape.IsNull() )
3018 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3021 if ( shape.IsSame( exp.Current() ))
3024 SCRUTE((shape.IsNull()));
3025 SCRUTE((mainShape.IsNull()));
3029 //=======================================================================
3030 //function : IsSubShape
3032 //=======================================================================
3034 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3036 if ( shape.IsNull() || !aMesh )
3039 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3041 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3044 //=======================================================================
3045 //function : IsBlock
3047 //=======================================================================
3049 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3051 if ( shape.IsNull() )
3055 TopExp_Explorer exp( shape, TopAbs_SHELL );
3056 if ( !exp.More() ) return false;
3057 shell = TopoDS::Shell( exp.Current() );
3058 if ( exp.Next(), exp.More() ) return false;
3061 TopTools_IndexedMapOfOrientedShape map;
3062 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3066 //================================================================================
3068 * \brief Return maximal tolerance of shape
3070 //================================================================================
3072 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3074 double tol = Precision::Confusion();
3075 TopExp_Explorer exp;
3076 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3077 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3078 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3079 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3080 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3081 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3086 //================================================================================
3088 * \brief Return MaxTolerance( face ), probably cached
3090 //================================================================================
3092 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3094 int faceID = GetMeshDS()->ShapeToIndex( face );
3096 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3097 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3099 tol = MaxTolerance( face );
3104 //================================================================================
3106 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3107 * of the FACE normal
3108 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3109 * 1e100 in case of failure
3110 * \waring Care about order of the EDGEs and their orientation to be as they are
3111 * within the FACE! Don't pass degenerated EDGEs neither!
3113 //================================================================================
3115 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3116 const TopoDS_Edge & theE2,
3117 const TopoDS_Face & theFace,
3118 const TopoDS_Vertex & theCommonV,
3119 gp_Vec* theFaceNormal)
3121 double angle = 1e100;
3125 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3126 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3127 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3128 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3129 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3130 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3131 if ( c1.IsNull() || c2.IsNull() )
3133 gp_XY uv = c2d1->Value( p1 ).XY();
3134 gp_Vec du, dv; gp_Pnt p;
3135 surf->D1( uv.X(), uv.Y(), p, du, dv );
3136 gp_Vec vec1, vec2, vecRef = du ^ dv;
3139 while ( vecRef.SquareMagnitude() < 1e-25 )
3141 double dp = ( l - f ) / 1000.;
3142 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3143 uv = c2d1->Value( p1tmp ).XY();
3144 surf->D1( uv.X(), uv.Y(), p, du, dv );
3146 if ( ++nbLoops > 10 )
3149 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3154 if ( theFace.Orientation() == TopAbs_REVERSED )
3156 if ( theFaceNormal ) *theFaceNormal = vecRef;
3158 c1->D1( p1, p, vec1 );
3159 c2->D1( p2, p, vec2 );
3160 // TopoDS_Face F = theFace;
3161 // if ( F.Orientation() == TopAbs_INTERNAL )
3162 // F.Orientation( TopAbs_FORWARD );
3163 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3165 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3167 angle = vec1.AngleWithRef( vec2, vecRef );
3169 if ( Abs ( angle ) >= 0.99 * M_PI )
3171 BRep_Tool::Range( theE1, f, l );
3172 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3173 c1->D1( p1, p, vec1 );
3174 if ( theE1.Orientation() == TopAbs_REVERSED )
3176 BRep_Tool::Range( theE2, f, l );
3177 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3178 c2->D1( p2, p, vec2 );
3179 if ( theE2.Orientation() == TopAbs_REVERSED )
3181 angle = vec1.AngleWithRef( vec2, vecRef );
3190 //================================================================================
3192 * \brief Check if the first and last vertices of an edge are the same
3193 * \param anEdge - the edge to check
3194 * \retval bool - true if same
3196 //================================================================================
3198 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3200 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3201 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3202 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3205 //================================================================================
3207 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3208 * in the case of INTERNAL edge
3210 //================================================================================
3212 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3216 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3217 anEdge.Orientation( TopAbs_FORWARD );
3219 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3220 TopoDS_Iterator vIt( anEdge, CumOri );
3221 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3224 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3227 //================================================================================
3229 * \brief Return type of shape contained in a group
3230 * \param group - a shape of type TopAbs_COMPOUND
3231 * \param avoidCompound - not to return TopAbs_COMPOUND
3233 //================================================================================
3235 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3236 const bool avoidCompound)
3238 if ( !group.IsNull() )
3240 if ( group.ShapeType() != TopAbs_COMPOUND )
3241 return group.ShapeType();
3243 // iterate on a compound
3244 TopoDS_Iterator it( group );
3246 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3248 return TopAbs_SHAPE;
3251 //================================================================================
3253 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3254 * \param [in] hyp - the hypothesis
3255 * \param [in] shape - the shape, for meshing which the \a hyp is used
3256 * \param [in] mesh - the mesh
3257 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3259 //================================================================================
3261 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3262 const TopoDS_Shape& shape,
3265 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3266 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3268 TopoDS_Shape shapeOfHyp;
3269 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3273 //=======================================================================
3274 //function : IsQuadraticMesh
3275 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3276 // quadratic elements will be created.
3277 // Used then generated 3D mesh without geometry.
3278 //=======================================================================
3280 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3282 int NbAllEdgsAndFaces=0;
3283 int NbQuadFacesAndEdgs=0;
3284 int NbFacesAndEdges=0;
3285 //All faces and edges
3286 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3287 if ( NbAllEdgsAndFaces == 0 )
3288 return SMESH_MesherHelper::LINEAR;
3290 //Quadratic faces and edges
3291 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3293 //Linear faces and edges
3294 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3296 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3298 return SMESH_MesherHelper::QUADRATIC;
3300 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3302 return SMESH_MesherHelper::LINEAR;
3305 //Mesh with both type of elements
3306 return SMESH_MesherHelper::COMP;
3309 //=======================================================================
3310 //function : GetOtherParam
3311 //purpose : Return an alternative parameter for a node on seam
3312 //=======================================================================
3314 double SMESH_MesherHelper::GetOtherParam(const double param) const
3316 int i = myParIndex & U_periodic ? 0 : 1;
3317 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3322 //=======================================================================
3324 * \brief Iterator on ancestors of the given type
3326 //=======================================================================
3328 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3330 TopTools_ListIteratorOfListOfShape _ancIter;
3331 TopAbs_ShapeEnum _type;
3332 TopTools_MapOfShape _encountered;
3333 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3334 : _ancIter( ancestors ), _type( type )
3336 if ( _ancIter.More() ) {
3337 if ( _ancIter.Value().ShapeType() != _type ) next();
3338 else _encountered.Add( _ancIter.Value() );
3343 return _ancIter.More();
3345 virtual const TopoDS_Shape* next()
3347 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3348 if ( _ancIter.More() )
3349 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3350 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3358 //=======================================================================
3360 * \brief Return iterator on ancestors of the given type
3362 //=======================================================================
3364 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3365 const SMESH_Mesh& mesh,
3366 TopAbs_ShapeEnum ancestorType)
3368 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3371 //=======================================================================
3372 //function : GetCommonAncestor
3373 //purpose : Find a common ancestors of two shapes of the given type
3374 //=======================================================================
3376 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3377 const TopoDS_Shape& shape2,
3378 const SMESH_Mesh& mesh,
3379 TopAbs_ShapeEnum ancestorType)
3381 TopoDS_Shape commonAnc;
3382 if ( !shape1.IsNull() && !shape2.IsNull() )
3384 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3386 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3389 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3390 while ( const TopoDS_Shape* anc = ancIt->next() )
3391 if ( IsSubShape( shape2, *anc ))
3400 //#include <Perf_Meter.hxx>
3402 //=======================================================================
3403 namespace { // Structures used by FixQuadraticElements()
3404 //=======================================================================
3406 #define __DMP__(txt) \
3408 #define MSG(txt) __DMP__(txt<<endl)
3409 #define MSGBEG(txt) __DMP__(txt)
3411 //const double straightTol2 = 1e-33; // to detect straing links
3412 bool isStraightLink(double linkLen2, double middleNodeMove2)
3414 // straight if <node move> < 1/15 * <link length>
3415 return middleNodeMove2 < 1/15./15. * linkLen2;
3419 // ---------------------------------------
3421 * \brief Quadratic link knowing its faces
3423 struct QLink: public SMESH_TLink
3425 const SMDS_MeshNode* _mediumNode;
3426 mutable vector<const QFace* > _faces;
3427 mutable gp_Vec _nodeMove;
3428 mutable int _nbMoves;
3429 mutable bool _is2dFixed; // is moved along surface or in 3D
3431 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3432 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3434 _nodeMove = MediumPnt() - MiddlePnt();
3435 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3437 void SetContinuesFaces() const;
3438 const QFace* GetContinuesFace( const QFace* face ) const;
3439 bool OnBoundary() const;
3440 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3441 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3443 SMDS_TypeOfPosition MediumPos() const
3444 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3445 SMDS_TypeOfPosition EndPos(bool isSecond) const
3446 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3447 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3448 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3450 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3451 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3452 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3453 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3454 bool IsFixedOnSurface() const { return _is2dFixed; }
3455 bool IsStraight() const
3456 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3457 _nodeMove.SquareMagnitude());
3459 bool operator<(const QLink& other) const {
3460 return (node1()->GetID() == other.node1()->GetID() ?
3461 node2()->GetID() < other.node2()->GetID() :
3462 node1()->GetID() < other.node1()->GetID());
3464 // struct PtrComparator {
3465 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3468 // ---------------------------------------------------------
3470 * \brief Link in the chain of links; it connects two faces
3474 const QLink* _qlink;
3475 mutable const QFace* _qfaces[2];
3477 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3478 _qfaces[0] = _qfaces[1] = 0;
3480 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3482 bool IsBoundary() const { return !_qfaces[1]; }
3484 void RemoveFace( const QFace* face ) const
3485 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3487 const QFace* NextFace( const QFace* f ) const
3488 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3490 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3491 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3493 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3495 operator bool() const { return (_qlink); }
3497 const QLink* operator->() const { return _qlink; }
3499 gp_Vec Normal() const;
3501 bool IsStraight() const;
3503 // --------------------------------------------------------------------
3504 typedef list< TChainLink > TChain;
3505 typedef set < TChainLink > TLinkSet;
3506 typedef TLinkSet::const_iterator TLinkInSet;
3508 const int theFirstStep = 5;
3510 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3511 // --------------------------------------------------------------------
3513 * \brief Quadratic face shared by two volumes and bound by QLinks
3515 struct QFace: public TIDSortedNodeSet
3517 mutable const SMDS_MeshElement* _volumes[2];
3518 mutable vector< const QLink* > _sides;
3519 mutable bool _sideIsAdded[4]; // added in chain of links
3522 mutable const SMDS_MeshElement* _face;
3525 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3527 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3529 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3531 void AddSelfToLinks() const {
3532 for ( int i = 0; i < _sides.size(); ++i )
3533 _sides[i]->_faces.push_back( this );
3535 int LinkIndex( const QLink* side ) const {
3536 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3539 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3541 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3543 int i = LinkIndex( link._qlink );
3544 if ( i < 0 ) return true;
3545 _sideIsAdded[i] = true;
3546 link.SetFace( this );
3547 // continue from opposite link
3548 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3550 bool IsBoundary() const { return !_volumes[1]; }
3552 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3554 bool IsSpoiled(const QLink* bentLink ) const;
3556 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3557 const TChainLink& avoidLink,
3558 TLinkInSet * notBoundaryLink = 0,
3559 const SMDS_MeshNode* nodeToContain = 0,
3560 bool * isAdjacentUsed = 0,
3561 int nbRecursionsLeft = -1) const;
3563 TLinkInSet GetLinkByNode( const TLinkSet& links,
3564 const TChainLink& avoidLink,
3565 const SMDS_MeshNode* nodeToContain) const;
3567 const SMDS_MeshNode* GetNodeInFace() const {
3568 for ( int iL = 0; iL < _sides.size(); ++iL )
3569 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3573 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3575 double MoveByBoundary( const TChainLink& theLink,
3576 const gp_Vec& theRefVec,
3577 const TLinkSet& theLinks,
3578 SMESH_MesherHelper* theFaceHelper=0,
3579 const double thePrevLen=0,
3580 const int theStep=theFirstStep,
3581 gp_Vec* theLinkNorm=0,
3582 double theSign=1.0) const;
3585 //================================================================================
3587 * \brief Dump QLink and QFace
3589 ostream& operator << (ostream& out, const QLink& l)
3591 out <<"QLink nodes: "
3592 << l.node1()->GetID() << " - "
3593 << l._mediumNode->GetID() << " - "
3594 << l.node2()->GetID() << endl;
3597 ostream& operator << (ostream& out, const QFace& f)
3599 out <<"QFace nodes: "/*<< &f << " "*/;
3600 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3601 out << (*n)->GetID() << " ";
3602 out << " \tvolumes: "
3603 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3604 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3605 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3609 //================================================================================
3611 * \brief Construct QFace from QLinks
3613 //================================================================================
3615 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3617 _volumes[0] = _volumes[1] = 0;
3619 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3620 _normal.SetCoord(0,0,0);
3621 for ( int i = 1; i < _sides.size(); ++i ) {
3622 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3623 insert( l1->node1() ); insert( l1->node2() );
3625 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3626 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3627 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3631 double normSqSize = _normal.SquareMagnitude();
3632 if ( normSqSize > numeric_limits<double>::min() )
3633 _normal /= sqrt( normSqSize );
3635 _normal.SetCoord(1e-33,0,0);
3641 //================================================================================
3643 * \brief Make up a chain of links
3644 * \param iSide - link to add first
3645 * \param chain - chain to fill in
3646 * \param pos - postion of medium nodes the links should have
3647 * \param error - out, specifies what is wrong
3648 * \retval bool - false if valid chain can't be built; "valid" means that links
3649 * of the chain belongs to rectangles bounding hexahedrons
3651 //================================================================================
3653 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3655 if ( iSide >= _sides.size() ) // wrong argument iSide
3657 if ( _sideIsAdded[ iSide ]) // already in chain
3660 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3663 list< const QFace* > faces( 1, this );
3664 while ( !faces.empty() ) {
3665 const QFace* face = faces.front();
3666 for ( int i = 0; i < face->_sides.size(); ++i ) {
3667 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3668 face->_sideIsAdded[i] = true;
3669 // find a face side in the chain
3670 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3671 // TChain::iterator chLink = chain.begin();
3672 // for ( ; chLink != chain.end(); ++chLink )
3673 // if ( chLink->_qlink == face->_sides[i] )
3675 // if ( chLink == chain.end() )
3676 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3677 // add a face to a chained link and put a continues face in the queue
3678 chLink->SetFace( face );
3679 if ( face->_sides[i]->MediumPos() == pos )
3680 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3681 if ( contFace->_sides.size() == 3 )
3682 faces.push_back( contFace );
3687 if ( error < ERR_TRI )
3689 chain.insert( chain.end(), links.begin(),links.end() );
3692 _sideIsAdded[iSide] = true; // not to add this link to chain again
3693 const QLink* link = _sides[iSide];
3697 // add link into chain
3698 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3699 chLink->SetFace( this );
3702 // propagate from a quadrangle to neighbour faces
3703 if ( link->MediumPos() >= pos ) {
3704 int nbLinkFaces = link->_faces.size();
3705 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3706 // hexahedral mesh or boundary quadrangles - goto a continous face
3707 if ( const QFace* f = link->GetContinuesFace( this ))
3708 if ( f->_sides.size() == 4 )
3709 return f->GetLinkChain( *chLink, chain, pos, error );
3712 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3713 for ( int i = 0; i < nbLinkFaces; ++i )
3714 if ( link->_faces[i] )
3715 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3716 if ( error < ERR_PRISM )
3724 //================================================================================
3726 * \brief Return a boundary link of the triangle face
3727 * \param links - set of all links
3728 * \param avoidLink - link not to return
3729 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3730 * \param nodeToContain - node the returned link must contain; if provided, search
3731 * also performed on adjacent faces
3732 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3733 * \param nbRecursionsLeft - to limit recursion
3735 //================================================================================
3737 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3738 const TChainLink& avoidLink,
3739 TLinkInSet * notBoundaryLink,
3740 const SMDS_MeshNode* nodeToContain,
3741 bool * isAdjacentUsed,
3742 int nbRecursionsLeft) const
3744 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3746 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3747 TFaceLinkList adjacentFaces;
3749 for ( int iL = 0; iL < _sides.size(); ++iL )
3751 if ( avoidLink._qlink == _sides[iL] )
3753 TLinkInSet link = links.find( _sides[iL] );
3754 if ( link == linksEnd ) continue;
3755 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3756 continue; // We work on faces here, don't go inside a solid
3759 if ( link->IsBoundary() ) {
3760 if ( !nodeToContain ||
3761 (*link)->node1() == nodeToContain ||
3762 (*link)->node2() == nodeToContain )
3764 boundaryLink = link;
3765 if ( !notBoundaryLink ) break;
3768 else if ( notBoundaryLink ) {
3769 *notBoundaryLink = link;
3770 if ( boundaryLink != linksEnd ) break;
3773 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3774 if ( const QFace* adj = link->NextFace( this ))
3775 if ( adj->Contains( nodeToContain ))
3776 adjacentFaces.push_back( make_pair( adj, link ));
3779 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3780 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3782 if ( nbRecursionsLeft < 0 )
3783 nbRecursionsLeft = nodeToContain->NbInverseElements();
3784 TFaceLinkList::iterator adj = adjacentFaces.begin();
3785 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3786 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3787 isAdjacentUsed, nbRecursionsLeft-1);
3788 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3790 return boundaryLink;
3792 //================================================================================
3794 * \brief Return a link ending at the given node but not avoidLink
3796 //================================================================================
3798 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3799 const TChainLink& avoidLink,
3800 const SMDS_MeshNode* nodeToContain) const
3802 for ( int i = 0; i < _sides.size(); ++i )
3803 if ( avoidLink._qlink != _sides[i] &&
3804 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3805 return links.find( _sides[ i ]);
3809 //================================================================================
3811 * \brief Return normal to the i-th side pointing outside the face
3813 //================================================================================
3815 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3817 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3818 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3819 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3820 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3822 if ( norm * vecOut < 0 )
3824 double mag2 = norm.SquareMagnitude();
3825 if ( mag2 > numeric_limits<double>::min() )
3826 norm /= sqrt( mag2 );
3829 //================================================================================
3831 * \brief Move medium node of theLink according to its distance from boundary
3832 * \param theLink - link to fix
3833 * \param theRefVec - movement of boundary
3834 * \param theLinks - all adjacent links of continous triangles
3835 * \param theFaceHelper - helper is not used so far
3836 * \param thePrevLen - distance from the boundary
3837 * \param theStep - number of steps till movement propagation limit
3838 * \param theLinkNorm - out normal to theLink
3839 * \param theSign - 1 or -1 depending on movement of boundary
3840 * \retval double - distance from boundary to propagation limit or other boundary
3842 //================================================================================
3844 double QFace::MoveByBoundary( const TChainLink& theLink,
3845 const gp_Vec& theRefVec,
3846 const TLinkSet& theLinks,
3847 SMESH_MesherHelper* theFaceHelper,
3848 const double thePrevLen,
3850 gp_Vec* theLinkNorm,
3851 double theSign) const
3854 return thePrevLen; // propagation limit reached
3856 int iL; // index of theLink
3857 for ( iL = 0; iL < _sides.size(); ++iL )
3858 if ( theLink._qlink == _sides[ iL ])
3861 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3862 <<" thePrevLen " << thePrevLen);
3863 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3865 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3866 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3867 if ( theStep == theFirstStep )
3868 theSign = refProj < 0. ? -1. : 1.;
3869 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3870 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3872 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3873 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3874 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3876 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3877 bool isBndLink1 = true, isBndLink2 = true;
3878 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3880 f1 = link1->NextFace( this );
3881 f2 = link2->NextFace( this );
3883 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3884 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3885 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3887 if ( !isBndLink1 && !f1 )
3888 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3889 if ( !isBndLink2 && !f2 )
3890 f2 = (*link2)->GetContinuesFace( this );
3893 else if ( _sides.size() < 4 )
3896 // propagate to adjacent faces till limit step or boundary
3897 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3898 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3899 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3900 gp_Vec linkDir2(0,0,0);
3903 if ( f1 && !isBndLink1 )
3904 len1 = f1->MoveByBoundary
3905 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3907 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3909 MSG( " --------------- EXCEPTION");
3914 if ( f2 && !isBndLink2 )
3915 len2 = f2->MoveByBoundary
3916 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3918 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3920 MSG( " --------------- EXCEPTION");
3925 if ( theStep != theFirstStep )
3927 // choose chain length by direction of propagation most codirected with theRefVec
3928 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3929 fullLen = choose1 ? len1 : len2;
3930 double r = thePrevLen / fullLen;
3932 gp_Vec move = linkNorm * refProj * ( 1 - r );
3933 theLink->Move( move, /*sum=*/true );
3935 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3936 " by " << refProj * ( 1 - r ) << " following " <<
3937 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3939 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3944 //================================================================================
3946 * \brief Checks if the face is distorted due to bentLink
3948 //================================================================================
3950 bool QFace::IsSpoiled(const QLink* bentLink ) const
3952 // code is valid for convex faces only
3954 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3955 gc += XYZ( *n ) / size();
3956 for (unsigned i = 0; i < _sides.size(); ++i )
3958 if ( _sides[i] == bentLink ) continue;
3959 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3960 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3961 if ( linkNorm * vecOut < 0 )
3963 double mag2 = linkNorm.SquareMagnitude();
3964 if ( mag2 > numeric_limits<double>::min() )
3965 linkNorm /= sqrt( mag2 );
3966 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3967 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3968 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3975 //================================================================================
3977 * \brief Find pairs of continues faces
3979 //================================================================================
3981 void QLink::SetContinuesFaces() const
3983 // x0 x - QLink, [-|] - QFace, v - volume
3985 // | Between _faces of link x2 two vertical faces are continues
3986 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3987 // | to _faces[0] and _faces[1] and horizontal faces to
3988 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3991 if ( _faces.empty() )
3993 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3994 if ( _faces[0]->IsBoundary() )
3995 iBoundary[ nbBoundary++ ] = 0;
3996 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3998 // look for a face bounding none of volumes bound by _faces[0]
3999 bool sameVol = false;
4000 int nbVol = _faces[iF]->NbVolumes();
4001 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4002 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4003 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4006 if ( _faces[iF]->IsBoundary() )
4007 iBoundary[ nbBoundary++ ] = iF;
4009 // Set continues faces: arrange _faces to have
4010 // _faces[0] continues to _faces[1]
4011 // _faces[2] continues to _faces[3]
4012 if ( nbBoundary == 2 ) // bnd faces are continues
4014 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4016 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4017 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4020 else if ( iFaceCont > 0 ) // continues faces found
4022 if ( iFaceCont != 1 )
4023 std::swap( _faces[1], _faces[iFaceCont] );
4025 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4027 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4030 //================================================================================
4032 * \brief Return a face continues to the given one
4034 //================================================================================
4036 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4038 for ( int i = 0; i < _faces.size(); ++i ) {
4039 if ( _faces[i] == face ) {
4040 int iF = i < 2 ? 1-i : 5-i;
4041 return iF < _faces.size() ? _faces[iF] : 0;
4046 //================================================================================
4048 * \brief True if link is on mesh boundary
4050 //================================================================================
4052 bool QLink::OnBoundary() const
4054 for ( int i = 0; i < _faces.size(); ++i )
4055 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4058 //================================================================================
4060 * \brief Return normal of link of the chain
4062 //================================================================================
4064 gp_Vec TChainLink::Normal() const {
4066 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4067 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4070 //================================================================================
4072 * \brief Test link curvature taking into account size of faces
4074 //================================================================================
4076 bool TChainLink::IsStraight() const
4078 bool isStraight = _qlink->IsStraight();
4079 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4081 int i = _qfaces[0]->LinkIndex( _qlink );
4082 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4083 gp_XYZ mid1 = _qlink->MiddlePnt();
4084 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4085 double faceSize2 = (mid1-mid2).SquareModulus();
4086 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4091 //================================================================================
4093 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4095 //================================================================================
4097 void fixPrism( TChain& allLinks )
4099 // separate boundary links from internal ones
4100 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4101 QLinkSet interLinks, bndLinks1, bndLink2;
4103 bool isCurved = false;
4104 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4105 if ( (*lnk)->OnBoundary() )
4106 bndLinks1.insert( lnk->_qlink );
4108 interLinks.insert( lnk->_qlink );
4109 isCurved = isCurved || !lnk->IsStraight();
4112 return; // no need to move
4114 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4116 while ( !interLinks.empty() && !curBndLinks->empty() )
4118 // propagate movement from boundary links to connected internal links
4119 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4120 for ( ; bnd != bndEnd; ++bnd )
4122 const QLink* bndLink = *bnd;
4123 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4125 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4126 if ( !face ) continue;
4127 // find and move internal link opposite to bndLink within the face
4128 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4129 const QLink* interLink = face->_sides[ interInd ];
4130 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4131 if ( pInterLink == interLinks.end() ) continue; // not internal link
4132 interLink->Move( bndLink->_nodeMove );
4133 // treated internal links become new boundary ones
4134 interLinks.erase( pInterLink );
4135 newBndLinks->insert( interLink );
4138 curBndLinks->clear();
4139 std::swap( curBndLinks, newBndLinks );
4143 //================================================================================
4145 * \brief Fix links of continues triangles near curved boundary
4147 //================================================================================
4149 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4151 if ( allLinks.empty() ) return;
4153 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4154 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4156 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4158 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4160 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4161 const QFace* face = linkIt->_qfaces[0];
4162 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4163 face->_sides[1]->MiddlePnt() +
4164 face->_sides[2]->MiddlePnt() ) / 3.;
4165 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4166 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4167 //if ( face->IsSpoiled( linkIt->_qlink ))
4168 if ( linkBentInside )
4169 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4174 //================================================================================
4176 * \brief Detect rectangular structure of links and build chains from them
4178 //================================================================================
4180 enum TSplitTriaResult {
4181 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4182 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4184 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4185 vector< TChain> & resultChains,
4186 SMDS_TypeOfPosition pos )
4188 // put links in the set and evalute number of result chains by number of boundary links
4191 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4192 linkSet.insert( *lnk );
4193 nbBndLinks += lnk->IsBoundary();
4195 resultChains.clear();
4196 resultChains.reserve( nbBndLinks / 2 );
4198 TLinkInSet linkIt, linksEnd = linkSet.end();
4200 // find a boundary link with corner node; corner node has position pos-2
4201 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4203 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4204 const SMDS_MeshNode* corner = 0;
4205 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4206 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4211 TLinkInSet startLink = linkIt;
4212 const SMDS_MeshNode* startCorner = corner;
4213 vector< TChain* > rowChains;
4216 while ( startLink != linksEnd) // loop on columns
4218 // We suppose we have a rectangular structure like shown here. We have found a
4219 // corner of the rectangle (startCorner) and a boundary link sharing
4220 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4221 // --o---o---o structure making several chains at once. One chain (columnChain)
4222 // |\ | /| starts at startLink and continues upward (we look at the structure
4223 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4224 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4225 // --o---o---o encounter.
4227 // / | \ | \ | startCorner
4232 if ( resultChains.size() == nbBndLinks / 2 )
4234 resultChains.push_back( TChain() );
4235 TChain& columnChain = resultChains.back();
4237 TLinkInSet botLink = startLink; // current horizontal link to go up from
4238 corner = startCorner; // current corner the botLink ends at
4240 while ( botLink != linksEnd ) // loop on rows
4242 // add botLink to the columnChain
4243 columnChain.push_back( *botLink );
4245 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4247 { // the column ends
4248 if ( botLink == startLink )
4249 return _TWISTED_CHAIN; // issue 0020951
4250 linkSet.erase( botLink );
4251 if ( iRow != rowChains.size() )
4252 return _FEW_ROWS; // different nb of rows in columns
4255 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4256 // link ending at <corner> (sideLink); there are two cases:
4257 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4258 // since midQuadLink is not at boundary while sideLink is.
4259 // 2) midQuadLink ends at <corner>
4261 TLinkInSet midQuadLink = linksEnd;
4262 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4264 if ( isCase2 ) { // find midQuadLink among links of botTria
4265 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4266 if ( midQuadLink->IsBoundary() )
4267 return _BAD_MIDQUAD;
4269 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4270 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4273 columnChain.push_back( *midQuadLink );
4274 if ( iRow >= rowChains.size() ) {
4276 return _MANY_ROWS; // different nb of rows in columns
4277 if ( resultChains.size() == nbBndLinks / 2 )
4279 resultChains.push_back( TChain() );
4280 rowChains.push_back( & resultChains.back() );
4282 rowChains[iRow]->push_back( *sideLink );
4283 rowChains[iRow]->push_back( *midQuadLink );
4285 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4289 // prepare startCorner and startLink for the next column
4290 startCorner = startLink->NextNode( startCorner );
4292 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4294 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4295 // check if no more columns remains
4296 if ( startLink != linksEnd ) {
4297 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4298 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4299 startLink = linksEnd; // startLink bounds upTria or botTria
4300 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4304 // find bottom link and corner for the next row
4305 corner = sideLink->NextNode( corner );
4306 // next bottom link ends at the new corner
4307 linkSet.erase( botLink );
4308 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4309 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4311 if ( midQuadLink == startLink || sideLink == startLink )
4312 return _TWISTED_CHAIN; // issue 0020951
4313 linkSet.erase( midQuadLink );
4314 linkSet.erase( sideLink );
4316 // make faces neighboring the found ones be boundary
4317 if ( startLink != linksEnd ) {
4318 const QFace* tria = isCase2 ? botTria : upTria;
4319 for ( int iL = 0; iL < 3; ++iL ) {
4320 linkIt = linkSet.find( tria->_sides[iL] );
4321 if ( linkIt != linksEnd )
4322 linkIt->RemoveFace( tria );
4325 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4326 botLink->RemoveFace( upTria ); // make next botTria first in vector
4333 // In the linkSet, there must remain the last links of rowChains; add them
4334 if ( linkSet.size() != rowChains.size() )
4335 return _BAD_SET_SIZE;
4336 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
4337 // find the link (startLink) ending at startCorner
4339 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4340 if ( (*startLink)->node1() == startCorner ) {
4341 corner = (*startLink)->node2(); break;
4343 else if ( (*startLink)->node2() == startCorner) {
4344 corner = (*startLink)->node1(); break;
4347 if ( startLink == linksEnd )
4349 rowChains[ iRow ]->push_back( *startLink );
4350 linkSet.erase( startLink );
4351 startCorner = corner;
4357 //================================================================================
4359 * \brief Place medium nodes at the link middle for elements whose corner nodes
4360 * are out of geometrical boundary to prevent distorting elements.
4361 * Issue 0020982, note 0013990
4363 //================================================================================
4365 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4366 SMESH_ComputeErrorPtr& theError)
4368 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4369 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4370 if ( shape.IsNull() ) return;
4372 if ( !theError ) theError = SMESH_ComputeError::New();
4376 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4378 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4380 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4381 if ( !faceSM ) return;
4383 const TopoDS_Face& face = TopoDS::Face( shape );
4384 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4386 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4387 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4389 // check if the EDGE needs checking
4390 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4391 if ( SMESH_Algo::isDegenerated( edge ) )
4393 if ( theHelper.IsRealSeam( edge ) &&
4394 edge.Orientation() == TopAbs_REVERSED )
4397 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4398 if ( !edgeSM ) continue;
4401 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4402 BRepAdaptor_Curve curve3D( edge );
4403 switch ( curve3D.GetType() ) {
4404 case GeomAbs_Line: continue;
4405 case GeomAbs_Circle:
4406 case GeomAbs_Ellipse:
4407 case GeomAbs_Hyperbola:
4408 case GeomAbs_Parabola:
4411 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4412 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4413 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4414 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4415 gp_Vec fNorm = Du1 ^ Dv1;
4416 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4417 continue; // face is normal to the curve3D
4419 gp_Vec curvNorm = fNorm ^ D1;
4420 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4421 if ( curvNorm * D2 > 0 )
4422 continue; // convex edge
4424 catch ( Standard_Failure )
4429 // get nodes shared by faces that may be distorted
4430 SMDS_NodeIteratorPtr nodeIt;
4431 if ( edgeSM->NbNodes() > 0 ) {
4432 nodeIt = edgeSM->GetNodes();
4435 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4437 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4438 if ( !vertexSM ) continue;
4439 nodeIt = vertexSM->GetNodes();
4442 // find suspicious faces
4443 TIDSortedElemSet checkedFaces;
4444 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4445 const SMDS_MeshNode* nOnFace;
4446 while ( nodeIt->more() )
4448 const SMDS_MeshNode* n = nodeIt->next();
4449 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4450 while ( faceIt->more() )
4452 const SMDS_MeshElement* f = faceIt->next();
4453 if ( !faceSM->Contains( f ) ||
4454 f->NbNodes() < 6 || // check quadratic triangles only
4455 !checkedFaces.insert( f ).second )
4458 // get nodes on EDGE and on FACE of a suspicious face
4459 nOnEdge.clear(); nOnFace = 0;
4460 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4461 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4464 if ( n->GetPosition()->GetDim() == 2 )
4467 nOnEdge.push_back( n );
4470 // check if nOnFace is inside the FACE
4471 if ( nOnFace && nOnEdge.size() == 2 )
4473 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4474 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4476 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4477 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4478 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4479 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4480 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4481 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4482 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4483 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4484 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4486 // nOnFace is out of FACE, move a medium on-edge node to the middle
4487 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4488 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4489 MSG( "move OUT of face " << n );
4490 theError->myBadElements.push_back( f );
4496 if ( !theError->myBadElements.empty() )
4497 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4500 } // 2D ==============================================================================
4502 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4504 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4505 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4507 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4508 if ( !solidSM ) return;
4510 // check if the SOLID is bound by concave FACEs
4511 vector< TopoDS_Face > concaveFaces;
4512 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4513 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4515 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4516 if ( !meshDS->MeshElements( face )) continue;
4518 BRepAdaptor_Surface surface( face );
4519 switch ( surface.GetType() ) {
4520 case GeomAbs_Plane: continue;
4521 case GeomAbs_Cylinder:
4523 case GeomAbs_Sphere:
4526 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4527 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4528 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4529 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4530 gp_Vec fNorm = Du1 ^ Dv1;
4531 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4532 bool concaveU = ( fNorm * Du2 > 1e-100 );
4533 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4534 if ( concaveU || concaveV )
4535 concaveFaces.push_back( face );
4537 catch ( Standard_Failure )
4539 concaveFaces.push_back( face );
4543 if ( concaveFaces.empty() )
4546 // fix 2D mesh on the SOLID
4547 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4549 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4550 faceHelper.SetSubShape( faceIt.Current() );
4551 force3DOutOfBoundary( faceHelper, theError );
4554 // get an iterator over faces on concaveFaces
4555 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4556 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4557 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4558 typedef SMDS_IteratorOnIterators
4559 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4560 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4562 // a seacher to check if a volume is close to a concave face
4563 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4564 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4567 //BRepClass3d_SolidClassifier solidClassifier( shape );
4569 TIDSortedElemSet checkedVols, movedNodes;
4570 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4571 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4573 //const TopoDS_Shape& face = faceIt.Current();
4574 const TopoDS_Shape& face = concaveFaces[ iF ];
4575 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4576 if ( !faceSM ) continue;
4578 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4579 SMDS_NodeIteratorPtr nodeIt;
4580 if ( faceSM->NbNodes() > 0 ) {
4581 nodeIt = faceSM->GetNodes();
4584 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4585 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4586 if ( !vertexSM ) continue;
4587 nodeIt = vertexSM->GetNodes();
4589 // get ids of sub-shapes of the FACE
4591 SMESH_subMeshIteratorPtr smIt =
4592 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4593 while ( smIt->more() )
4594 subIDs.insert( smIt->next()->GetId() );
4596 // find suspicious volumes adjacent to the FACE
4597 vector< const SMDS_MeshNode* > nOnFace( 4 );
4598 const SMDS_MeshNode* nInSolid;
4599 while ( nodeIt->more() )
4601 const SMDS_MeshNode* n = nodeIt->next();
4602 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4603 while ( volIt->more() )
4605 const SMDS_MeshElement* vol = volIt->next();
4606 int nbN = vol->NbCornerNodes();
4607 if ( ( nbN != 4 && nbN != 5 ) ||
4608 !solidSM->Contains( vol ) ||
4609 !checkedVols.insert( vol ).second )
4612 // get nodes on FACE and in SOLID of a suspicious volume
4613 nOnFace.clear(); nInSolid = 0;
4614 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4615 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4618 if ( n->GetPosition()->GetDim() == 3 )
4620 else if ( subIDs.count( n->getshapeId() ))
4621 nOnFace.push_back( n );
4625 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4628 // get size of the vol
4629 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4630 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4631 for ( size_t i = 1; i < nOnFace.size(); ++i )
4633 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4636 // check if vol is close to concaveFaces
4637 const SMDS_MeshElement* closeFace =
4638 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4640 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4643 // check if vol is distorted, i.e. a medium node is much closer
4644 // to nInSolid than the link middle
4645 bool isDistorted = false;
4646 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4647 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4649 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4650 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4651 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4652 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4654 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4655 TLinkNodeMap::const_iterator linkIt =
4656 theHelper.GetTLinkNodeMap().find( link );
4657 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4659 links.push_back( make_pair( linkIt->first, linkIt->second ));
4660 if ( !isDistorted ) {
4661 // compare projections of nInSolid and nMedium to face normal
4662 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4663 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4664 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4665 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4669 // move medium nodes to link middle
4672 for ( size_t i = 0; i < links.size(); ++i )
4674 const SMDS_MeshNode* nMedium = links[i].second;
4675 if ( movedNodes.insert( nMedium ).second )
4677 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4678 SMESH_TNodeXYZ( links[i].first.node2() ));
4679 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4680 MSG( "move OUT of solid " << nMedium );
4683 theError->myBadElements.push_back( vol );
4685 } // loop on volumes sharing a node on FACE
4686 } // loop on nodes on FACE
4687 } // loop on FACEs of a SOLID
4689 if ( !theError->myBadElements.empty() )
4690 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4696 //=======================================================================
4698 * \brief Move medium nodes of faces and volumes to fix distorted elements
4699 * \param error - container of fixed distorted elements
4700 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4702 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4704 //=======================================================================
4706 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4709 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4710 if ( getenv("NO_FixQuadraticElements") )
4713 // 0. Apply algorithm to SOLIDs or FACEs
4714 // ----------------------------------------------
4715 if ( myShape.IsNull() ) {
4716 if ( !myMesh->HasShapeToMesh() ) return;
4717 SetSubShape( myMesh->GetShapeToMesh() );
4721 TopTools_IndexedMapOfShape solids;
4722 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4723 nbSolids = solids.Extent();
4725 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4726 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4727 faces.Add( f.Current() ); // not in solid
4729 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4730 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4731 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4732 faces.Add( f.Current() ); // in not meshed solid
4734 else { // fix nodes in the solid and its faces
4736 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4738 SMESH_MesherHelper h(*myMesh);
4739 h.SetSubShape( s.Current() );
4740 h.ToFixNodeParameters(true);
4741 h.FixQuadraticElements( compError, false );
4744 // fix nodes on geom faces
4746 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4748 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4749 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4750 SMESH_MesherHelper h(*myMesh);
4751 h.SetSubShape( fIt.Key() );
4752 h.ToFixNodeParameters(true);
4753 h.FixQuadraticElements( compError, true);
4755 //perf_print_all_meters(1);
4756 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4757 compError->myComment = "during conversion to quadratic, "
4758 "some medium nodes were not placed on geometry to avoid distorting elements";
4762 // 1. Find out type of elements and get iterator on them
4763 // ---------------------------------------------------
4765 SMDS_ElemIteratorPtr elemIt;
4766 SMDSAbs_ElementType elemType = SMDSAbs_All;
4768 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4771 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4772 elemIt = smDS->GetElements();
4773 if ( elemIt->more() ) {
4774 elemType = elemIt->next()->GetType();
4775 elemIt = smDS->GetElements();
4778 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4781 // 2. Fill in auxiliary data structures
4782 // ----------------------------------
4786 set< QLink >::iterator pLink;
4787 set< QFace >::iterator pFace;
4789 bool isCurved = false;
4790 //bool hasRectFaces = false;
4791 //set<int> nbElemNodeSet;
4792 SMDS_VolumeTool volTool;
4794 TIDSortedNodeSet apexOfPyramid;
4795 const int apexIndex = 4;
4798 // Move medium nodes to the link middle for elements whose corner nodes
4799 // are out of geometrical boundary to fix distorted elements.
4800 force3DOutOfBoundary( *this, compError );
4802 if ( elemType == SMDSAbs_Volume )
4804 while ( elemIt->more() ) // loop on volumes
4806 const SMDS_MeshElement* vol = elemIt->next();
4807 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4809 double volMinSize2 = -1.;
4810 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4812 int nbN = volTool.NbFaceNodes( iF );
4813 //nbElemNodeSet.insert( nbN );
4814 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4815 vector< const QLink* > faceLinks( nbN/2 );
4816 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4819 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4820 pLink = links.insert( link ).first;
4821 faceLinks[ iN/2 ] = & *pLink;
4823 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4825 if ( !link.IsStraight() )
4826 return; // already fixed
4828 else if ( !isCurved )
4830 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4831 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4835 pFace = faces.insert( QFace( faceLinks )).first;
4836 if ( pFace->NbVolumes() == 0 )
4837 pFace->AddSelfToLinks();
4838 pFace->SetVolume( vol );
4839 // hasRectFaces = hasRectFaces ||
4840 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4841 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4844 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4846 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4847 faceNodes[4],faceNodes[6] );
4850 // collect pyramid apexes for further correction
4851 if ( vol->NbCornerNodes() == 5 )
4852 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4854 set< QLink >::iterator pLink = links.begin();
4855 for ( ; pLink != links.end(); ++pLink )
4856 pLink->SetContinuesFaces();
4860 while ( elemIt->more() ) // loop on faces
4862 const SMDS_MeshElement* face = elemIt->next();
4863 if ( !face->IsQuadratic() )
4865 //nbElemNodeSet.insert( face->NbNodes() );
4866 int nbN = face->NbNodes()/2;
4867 vector< const QLink* > faceLinks( nbN );
4868 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4871 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4872 pLink = links.insert( link ).first;
4873 faceLinks[ iN ] = & *pLink;
4875 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4876 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4877 isCurved = !link.IsStraight();
4880 pFace = faces.insert( QFace( faceLinks )).first;
4881 pFace->AddSelfToLinks();
4882 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4886 return; // no curved edges of faces
4888 // 3. Compute displacement of medium nodes
4889 // ---------------------------------------
4891 SMESH_MesherHelper faceHlp(*myMesh);
4893 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4894 TopLoc_Location loc;
4896 // not to treat boundary of volumic sub-mesh.
4897 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4898 for ( ; isInside < 2; ++isInside )
4900 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4901 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4902 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4904 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4905 if ( bool(isInside) == pFace->IsBoundary() )
4907 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4910 // make chain of links connected via continues faces
4913 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4915 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4917 vector< TChain > chains;
4918 if ( error == ERR_OK ) { // chain contains continues rectangles
4920 chains[0].splice( chains[0].begin(), rawChain );
4922 else if ( error == ERR_TRI ) { // chain contains continues triangles
4923 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4924 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4925 fixTriaNearBoundary( rawChain, *this );
4929 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4930 fixPrism( rawChain );
4936 for ( int iC = 0; iC < chains.size(); ++iC )
4938 TChain& chain = chains[iC];
4939 if ( chain.empty() ) continue;
4940 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4941 MSG("3D straight - ignore");
4944 if ( chain.front()->MediumPos() > bndPos ||
4945 chain.back() ->MediumPos() > bndPos ) {
4946 MSG("Internal chain - ignore");
4949 // mesure chain length and compute link position along the chain
4950 double chainLen = 0;
4951 vector< double > linkPos;
4952 TChain savedChain; // backup
4953 MSGBEG( "Link medium nodes: ");
4954 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4955 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4956 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4957 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4958 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4959 if ( savedChain.empty() ) savedChain = chain;
4960 link1 = chain.erase( link1 );
4961 if ( link1 == chain.end() )
4963 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4966 linkPos.push_back( chainLen );
4969 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
4974 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
4976 linkPos.push_back( chainLen );
4979 gp_Vec move0 = chain.front()->_nodeMove;
4980 gp_Vec move1 = chain.back ()->_nodeMove;
4985 // compute node displacement of end links of chain in parametric space of FACE
4986 TChainLink& linkOnFace = *(++chain.begin());
4987 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4988 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4989 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4991 face = TopoDS::Face( f );
4992 faceHlp.SetSubShape( face );
4993 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4994 //bool isStraight[2]; // commented for issue 0023118
4995 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4997 TChainLink& link = is1 ? chain.back() : chain.front();
4998 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
4999 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5000 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5001 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5002 // uvMove = uvm - uv12
5003 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5004 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5005 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5006 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5007 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5008 // 10 * uvMove.SquareModulus());
5010 // if ( isStraight[0] && isStraight[1] ) {
5011 // MSG("2D straight - ignore");
5012 // continue; // straight - no need to move nodes of internal links
5015 // check if a chain is already fixed
5016 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5017 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5018 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5019 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5020 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5022 MSG("Already fixed - ignore");
5028 if ( isInside || face.IsNull() )
5030 // compute node displacement of end links in their local coord systems
5032 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5033 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5034 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5035 move0.Transform(trsf);
5038 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5039 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5040 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5041 move1.Transform(trsf);
5044 // compute displacement of medium nodes
5045 link2 = chain.begin();
5048 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5050 double r = linkPos[i] / chainLen;
5051 // displacement in local coord system
5052 gp_Vec move = (1. - r) * move0 + r * move1;
5053 if ( isInside || face.IsNull()) {
5054 // transform to global
5055 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5056 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5058 gp_Vec x = x01.Normalized() + x12.Normalized();
5059 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5060 } catch ( Standard_Failure ) {
5063 move.Transform(trsf);
5064 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5067 // compute 3D displacement by 2D one
5068 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5069 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5070 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5071 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5072 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5073 if ( SMDS_FacePosition* nPos =
5074 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5075 nPos->SetParameters( newUV.X(), newUV.Y() );
5077 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5078 move.SquareMagnitude())
5080 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5081 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5082 MSG( "TOO LONG MOVE \t" <<
5083 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5084 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5085 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5086 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5089 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5091 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5092 << chain.front()->_mediumNode->GetID() <<"-"
5093 << chain.back ()->_mediumNode->GetID() <<
5094 " by " << move.Magnitude());
5096 } // loop on chains of links
5097 } // loop on 2 directions of propagation from quadrangle
5099 } // fix faces and/or volumes
5104 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5105 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5106 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5107 myMesh->NbBiQuadTriangles() +
5108 myMesh->NbTriQuadraticHexas() );
5110 faceHlp.ToFixNodeParameters( true );
5112 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5113 if ( pLink->IsMoved() )
5115 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5117 // put on surface nodes on FACE but moved in 3D (23050)
5118 if ( !pLink->IsFixedOnSurface() )
5120 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5121 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5123 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5124 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5125 gp_XY uv( Precision::Infinite(), 0 );
5126 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5127 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5128 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5131 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5133 // collect bi-quadratic elements
5134 if ( toFixCentralNodes )
5136 biQuadQua = triQuadHex = 0;
5137 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5138 while ( eIt->more() )
5140 const SMDS_MeshElement* e = eIt->next();
5141 switch( e->GetEntityType() ) {
5142 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5143 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5144 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5151 // Fix positions of central nodes of bi-tri-quadratic elements
5153 // treat bi-quad quadrangles
5155 vector< const SMDS_MeshNode* > nodes( 9 );
5157 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5158 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5160 const SMDS_MeshElement* quad = *quadIt;
5163 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5165 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5166 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5167 const TopoDS_Face& F = TopoDS::Face( S );
5168 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5169 const double tol = BRep_Tool::Tolerance( F );
5171 for ( int i = 0; i < 8; ++i )
5173 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5174 // as this method is used after mesh generation, UV of nodes is not
5175 // updated according to bending links, so we update
5176 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5177 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5179 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5180 // move the central node
5181 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5182 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5183 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5187 // treat bi-quad triangles
5189 vector< const SMDS_MeshNode* > nodes;
5191 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5192 for ( ; triIt != biQuadTris.end(); ++triIt )
5194 const SMDS_MeshElement* tria = *triIt;
5196 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
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 );
5203 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5205 bool uvOK = true, badTria = false;
5206 for ( int i = 0; i < 6; ++i )
5208 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5209 // as this method is used after mesh generation, UV of nodes is not
5210 // updated according to bending links, so we update
5211 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5212 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5215 // move the central node
5217 if ( !uvOK || badTria )
5219 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5220 SMESH_TNodeXYZ( nodes[4] ) +
5221 SMESH_TNodeXYZ( nodes[5] )) / 3;
5225 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5226 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5227 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5229 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5233 // treat tri-quadratic hexahedra
5235 SMDS_VolumeTool volExp;
5236 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5237 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5239 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5241 // fix nodes central in sides
5242 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5244 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5245 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5247 gp_XYZ p = calcTFI( 0.5, 0.5,
5248 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5249 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5250 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5251 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5252 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5256 // fix the volume central node
5257 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5258 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5260 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5261 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5262 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5263 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5264 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5265 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5266 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5267 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5269 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5270 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5271 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5272 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5273 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5274 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5275 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5276 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5277 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5278 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5279 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5280 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5282 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5283 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5284 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5285 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5286 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5287 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5289 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5290 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5291 GetMeshDS()->MoveNode( hexNodes[26],
5292 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());