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() )
195 myCreateQuadratic = false;
197 if(!myCreateQuadratic) {
198 myTLinkNodeMap.clear();
202 return myCreateQuadratic;
205 //=======================================================================
206 //function : SetSubShape
207 //purpose : Set geometry to make elements on
208 //=======================================================================
210 void SMESH_MesherHelper::SetSubShape(const int aShID)
212 if ( aShID == myShapeID )
215 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
217 SetSubShape( TopoDS_Shape() );
220 //=======================================================================
221 //function : SetSubShape
222 //purpose : Set geometry to create elements on
223 //=======================================================================
225 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
227 if ( myShape.IsSame( aSh ))
231 mySeamShapeIds.clear();
232 myDegenShapeIds.clear();
234 if ( myShape.IsNull() ) {
238 SMESHDS_Mesh* meshDS = GetMeshDS();
239 myShapeID = meshDS->ShapeToIndex(aSh);
242 // treatment of periodic faces
243 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
245 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
246 BRepAdaptor_Surface surf( face, false );
247 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
248 myParIndex |= U_periodic;
249 myPar1[0] = surf.FirstUParameter();
250 myPar2[0] = surf.LastUParameter();
252 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
253 myParIndex |= V_periodic;
254 myPar1[1] = surf.FirstVParameter();
255 myPar2[1] = surf.LastVParameter();
259 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
261 // look for a "seam" edge, a real seam or an edge on period boundary
262 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
263 const int edgeID = meshDS->ShapeToIndex( edge );
266 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
267 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
268 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
270 bool isSeam = BRep_Tool::IsClosed( edge, face );
271 if ( isSeam ) // real seam - having two pcurves on face
273 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
276 double u1 = uv1.Coord(1);
278 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
279 double u2 = uv1.Coord(1);
280 myPar1[0] = Min( u1, u2 );
281 myPar2[0] = Max( u1, u2 );
285 double v1 = uv1.Coord(2);
287 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
288 double v2 = uv1.Coord(2);
289 myPar1[1] = Min( v1, v2 );
290 myPar2[1] = Max( v1, v2 );
293 else //if ( !isSeam )
295 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
296 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
298 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
299 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
301 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
303 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
304 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
306 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
308 double f,l, r = 0.2345;
309 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
310 uv2 = C2d->Value( f * r + l * ( 1.-r ));
311 if ( du < Precision::PConfusion() )
312 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
314 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
319 // store seam shape indices, negative if shape encounters twice ('real seam')
320 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
321 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
322 int vertexID = meshDS->ShapeToIndex( v.Current() );
323 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
327 // look for a degenerated edge
328 if ( SMESH_Algo::isDegenerated( edge )) {
329 myDegenShapeIds.insert( edgeID );
330 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
331 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
333 if ( !BRep_Tool::SameParameter( edge ) ||
334 !BRep_Tool::SameRange( edge ))
336 setPosOnShapeValidity( edgeID, false );
342 //=======================================================================
343 //function : GetNodeUVneedInFaceNode
344 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
345 // Return true if the face is periodic.
346 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
348 //=======================================================================
350 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
352 if ( F.IsNull() ) return !mySeamShapeIds.empty();
354 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
355 return !mySeamShapeIds.empty();
358 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
359 if ( !aSurface.IsNull() )
360 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
365 //=======================================================================
366 //function : IsMedium
368 //=======================================================================
370 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
371 const SMDSAbs_ElementType typeToCheck)
373 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
376 //=======================================================================
377 //function : GetSubShapeByNode
378 //purpose : Return support shape of a node
379 //=======================================================================
381 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
382 const SMESHDS_Mesh* meshDS)
384 int shapeID = node ? node->getshapeId() : 0;
385 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
386 return meshDS->IndexToShape( shapeID );
388 return TopoDS_Shape();
392 //=======================================================================
393 //function : AddTLinkNode
394 //purpose : add a link in my data structure
395 //=======================================================================
397 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
398 const SMDS_MeshNode* n2,
399 const SMDS_MeshNode* n12)
401 // add new record to map
402 SMESH_TLink link( n1, n2 );
403 myTLinkNodeMap.insert( make_pair(link,n12));
406 //================================================================================
408 * \brief Add quadratic links of edge to own data structure
410 //================================================================================
412 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
414 if ( edge && edge->IsQuadratic() )
415 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
421 //================================================================================
423 * \brief Add quadratic links of face to own data structure
425 //================================================================================
427 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
431 switch ( f->NbNodes() ) {
433 // myMapWithCentralNode.insert
434 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
436 // break; -- add medium nodes as well
438 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
439 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
440 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
443 // myMapWithCentralNode.insert
444 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
446 // break; -- add medium nodes as well
448 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
449 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
450 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
451 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
458 //================================================================================
460 * \brief Add quadratic links of volume to own data structure
462 //================================================================================
464 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
466 if ( volume->IsQuadratic() )
468 SMDS_VolumeTool vTool( volume );
469 const SMDS_MeshNode** nodes = vTool.GetNodes();
471 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
473 const int nbN = vTool.NbFaceNodes( iF );
474 const int* iNodes = vTool.GetFaceNodesIndices( iF );
475 for ( int i = 0; i < nbN; )
477 int iN1 = iNodes[i++];
478 int iN12 = iNodes[i++];
480 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
481 int linkID = iN1 * vTool.NbNodes() + iN2;
482 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
483 if ( it_isNew.second )
484 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
486 addedLinks.erase( it_isNew.first ); // each link encounters only twice
488 if ( vTool.NbNodes() == 27 )
490 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
491 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
492 myMapWithCentralNode.insert
493 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
494 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
503 //================================================================================
505 * \brief Return true if position of nodes on the shape hasn't yet been checked or
506 * the positions proved to be invalid
508 //================================================================================
510 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
512 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
513 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
516 //================================================================================
518 * \brief Set validity of positions of nodes on the shape.
519 * Once set, validity is not changed
521 //================================================================================
523 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
525 std::map< int,bool >::iterator sh_ok =
526 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
531 //=======================================================================
532 //function : ToFixNodeParameters
533 //purpose : Enables fixing node parameters on EDGEs and FACEs in
534 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
535 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
537 //=======================================================================
539 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
541 myFixNodeParameters = toFix;
545 //=======================================================================
546 //function : getUVOnSeam
547 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
548 //=======================================================================
550 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
552 gp_Pnt2d result = uv1;
553 for ( int i = U_periodic; i <= V_periodic ; ++i )
555 if ( myParIndex & i )
557 double p1 = uv1.Coord( i );
558 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
559 if ( myParIndex == i ||
560 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
561 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
563 double p2 = uv2.Coord( i );
564 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
565 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
566 result.SetCoord( i, p1Alt );
573 //=======================================================================
574 //function : GetNodeUV
575 //purpose : Return node UV on face
576 //=======================================================================
578 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
579 const SMDS_MeshNode* n,
580 const SMDS_MeshNode* n2,
583 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
585 const SMDS_PositionPtr Pos = n->GetPosition();
587 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
589 // node has position on face
590 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( Pos );
591 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
593 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
595 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
597 // node has position on EDGE => it is needed to find
598 // corresponding EDGE from FACE, get pcurve for this
599 // EDGE and retrieve value from this pcurve
600 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( Pos );
601 const int edgeID = n->getshapeId();
602 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
603 double f, l, u = epos->GetUParameter();
604 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
605 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
606 if ( validU ) uv = C2d->Value( u );
607 else uv.SetCoord( Precision::Infinite(),0.);
608 if ( check || !validU )
609 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
611 // for a node on a seam EDGE select one of UVs on 2 pcurves
612 if ( n2 && IsSeamShape( edgeID ))
614 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
617 { // adjust uv to period
619 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
620 Standard_Boolean isUPeriodic = S->IsUPeriodic();
621 Standard_Boolean isVPeriodic = S->IsVPeriodic();
623 if ( isUPeriodic || isVPeriodic ) {
624 Standard_Real UF,UL,VF,VL;
625 S->Bounds(UF,UL,VF,VL);
626 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
627 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
631 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
632 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
633 newUV.SetX( uv.X() );
634 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
635 newUV.SetY( uv.Y() );
641 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
643 if ( int vertexID = n->getshapeId() ) {
644 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
646 uv = BRep_Tool::Parameters( V, F );
649 catch (Standard_Failure& exc) {
652 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
653 uvOK = ( V == vert.Current() );
655 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
656 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
657 // get UV of a vertex closest to the node
659 gp_Pnt pn = XYZ( n );
660 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
661 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
662 gp_Pnt p = BRep_Tool::Pnt( curV );
663 double curDist = p.SquareDistance( pn );
664 if ( curDist < dist ) {
666 uv = BRep_Tool::Parameters( curV, F );
667 uvOK = ( dist < DBL_MIN );
673 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
674 for ( ; it.More(); it.Next() ) {
675 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
676 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
678 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
679 if ( !C2d.IsNull() ) {
680 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
681 uv = C2d->Value( u );
689 if ( n2 && IsSeamShape( vertexID ))
691 bool isSeam = ( myShape.IsSame( F ));
693 SMESH_MesherHelper h( *myMesh );
695 isSeam = IsSeamShape( vertexID );
699 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
705 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
708 if ( check && !uvOK )
714 //=======================================================================
715 //function : CheckNodeUV
716 //purpose : Check and fix node UV on a face
717 //=======================================================================
719 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
720 const SMDS_MeshNode* n,
724 double distXYZ[4]) const
726 int shapeID = n->getshapeId();
728 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
730 ( uv.X() == 0. && uv.Y() == 0. ) ||
731 ( toCheckPosOnShape( shapeID )))
733 // check that uv is correct
735 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
736 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
738 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
740 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
742 setPosOnShapeValidity( shapeID, false );
743 if ( !infinit && distXYZ ) {
744 surfPnt.Transform( loc );
746 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
748 // uv incorrect, project the node to surface
749 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
750 projector.Perform( nodePnt );
751 if ( !projector.IsDone() || projector.NbPoints() < 1 )
753 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
756 Quantity_Parameter U,V;
757 projector.LowerDistanceParameters(U,V);
759 surfPnt = surface->Value( U, V );
760 dist = nodePnt.Distance( surfPnt );
762 surfPnt.Transform( loc );
764 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
768 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
771 // store the fixed UV on the face
772 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
773 const_cast<SMDS_MeshNode*>(n)->SetPosition
774 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
776 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
778 setPosOnShapeValidity( shapeID, true );
784 //=======================================================================
785 //function : GetProjector
786 //purpose : Return projector intitialized by given face without location, which is returned
787 //=======================================================================
789 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
790 TopLoc_Location& loc,
793 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
794 int faceID = GetMeshDS()->ShapeToIndex( F );
795 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
796 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
797 if ( i_proj == i2proj.end() )
799 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
800 double U1, U2, V1, V2;
801 surface->Bounds(U1, U2, V1, V2);
802 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
803 proj->Init( surface, U1, U2, V1, V2, tol );
804 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
806 return *( i_proj->second );
811 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
812 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
813 gp_XY_FunPtr(Subtracted);
816 //=======================================================================
817 //function : ApplyIn2D
818 //purpose : Perform given operation on two 2d points in parameric space of given surface.
819 // It takes into account period of the surface. Use gp_XY_FunPtr macro
820 // to easily define pointer to function of gp_XY class.
821 //=======================================================================
823 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
827 const bool resultInPeriod)
829 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
830 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
831 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
832 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
833 if ( !isUPeriodic && !isVPeriodic )
836 // move uv2 not far than half-period from uv1
838 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
840 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
843 gp_XY res = fun( uv1, gp_XY(u2,v2) );
845 // move result within period
846 if ( resultInPeriod )
848 Standard_Real UF,UL,VF,VL;
849 surface->Bounds(UF,UL,VF,VL);
851 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
853 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
859 //=======================================================================
860 //function : AdjustByPeriod
861 //purpose : Move node positions on a FACE within surface period
862 //=======================================================================
864 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
866 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
867 ph->SetSubShape( face );
869 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
870 if ( ph->GetPeriodicIndex() & iCoo )
872 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
873 const double xRef = uv[0].Coord( iCoo );
874 for ( int i = 1; i < nbUV; ++i )
876 double x = uv[i].Coord( iCoo );
877 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
878 uv[i].SetCoord( iCoo, x + dx );
883 //=======================================================================
884 //function : GetMiddleUV
885 //purpose : Return middle UV taking in account surface period
886 //=======================================================================
888 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
893 // the proper place of getting basic surface seems to be in ApplyIn2D()
894 // but we put it here to decrease a risk of regressions just before releasing a version
895 // Handle(Geom_Surface) surf = surface;
896 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
897 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
899 return ApplyIn2D( surface, p1, p2, & AverageUV );
902 //=======================================================================
903 //function : GetCenterUV
904 //purpose : Return UV for the central node of a biquadratic triangle
905 //=======================================================================
907 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
913 bool * isBadTria/*=0*/)
916 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
918 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
919 uvAvg = ( uv1 + uv23 ) / 2.;
920 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
921 uvAvg = ( uv2 + uv31 ) / 2.;
922 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
923 uvAvg = ( uv3 + uv12 ) / 2.;
926 *isBadTria = badTria;
930 //=======================================================================
931 //function : GetNodeU
932 //purpose : Return node U on edge
933 //=======================================================================
935 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
936 const SMDS_MeshNode* n,
937 const SMDS_MeshNode* inEdgeNode,
940 double param = Precision::Infinite();
942 const SMDS_PositionPtr pos = n->GetPosition();
943 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
945 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
946 param = epos->GetUParameter();
948 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
950 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
953 BRep_Tool::Range( E, f,l );
954 double uInEdge = GetNodeU( E, inEdgeNode );
955 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
959 SMESHDS_Mesh * meshDS = GetMeshDS();
960 int vertexID = n->getshapeId();
961 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
962 param = BRep_Tool::Parameter( V, E );
967 double tol = BRep_Tool::Tolerance( E );
968 double f,l; BRep_Tool::Range( E, f,l );
969 bool force = ( param < f-tol || param > l+tol );
970 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
971 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
973 *check = CheckNodeU( E, n, param, 2*tol, force );
978 //=======================================================================
979 //function : CheckNodeU
980 //purpose : Check and fix node U on an edge
981 // Return false if U is bad and could not be fixed
982 //=======================================================================
984 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
985 const SMDS_MeshNode* n,
989 double distXYZ[4]) const
991 int shapeID = n->getshapeId();
993 if (( infinit = Precision::IsInfinite( u )) ||
996 ( toCheckPosOnShape( shapeID )))
998 TopLoc_Location loc; double f,l;
999 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1000 if ( curve.IsNull() ) // degenerated edge
1002 if ( u+tol < f || u-tol > l )
1004 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1010 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1011 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1013 double dist = 2*tol;
1016 curvPnt = curve->Value( u );
1017 dist = nodePnt.Distance( curvPnt );
1019 curvPnt.Transform( loc );
1021 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1026 setPosOnShapeValidity( shapeID, false );
1027 // u incorrect, project the node to the curve
1028 int edgeID = GetMeshDS()->ShapeToIndex( E );
1029 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1030 TID2ProjectorOnCurve::iterator i_proj =
1031 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1032 if ( !i_proj->second )
1034 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1035 i_proj->second->Init( curve, f, l );
1037 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1038 projector->Perform( nodePnt );
1039 if ( projector->NbPoints() < 1 )
1041 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1044 Quantity_Parameter U = projector->LowerDistanceParameter();
1046 MESSAGE(" f " << f << " l " << l << " u " << u);
1047 curvPnt = curve->Value( u );
1048 dist = nodePnt.Distance( curvPnt );
1050 curvPnt.Transform( loc );
1052 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1056 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
1057 MESSAGE("distance " << dist << " " << tol );
1060 // store the fixed U on the edge
1061 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1062 const_cast<SMDS_MeshNode*>(n)->SetPosition
1063 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1065 else if ( fabs( u ) > numeric_limits<double>::min() )
1067 setPosOnShapeValidity( shapeID, true );
1069 if (( u < f-tol || u > l+tol ) && force )
1071 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1072 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1075 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1076 double period = curve->Period();
1077 u = ( u < f ) ? u + period : u - period;
1079 catch (Standard_Failure& exc)
1089 //=======================================================================
1090 //function : GetMediumPos
1091 //purpose : Return index and type of the shape (EDGE or FACE only) to
1092 // set a medium node on
1093 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1095 //param : expectedSupport - shape type corresponding to element being created,
1096 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1097 // basing on \a n1 and \a n2
1098 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1099 // case where the lower dim mesh is already constructed and converted to quadratic,
1100 // else, nodes on EDGEs are assigned to FACE, for example.
1101 //=======================================================================
1103 std::pair<int, TopAbs_ShapeEnum>
1104 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1105 const SMDS_MeshNode* n2,
1106 const bool useCurSubShape,
1107 TopAbs_ShapeEnum expectedSupport)
1109 if ( useCurSubShape && !myShape.IsNull() )
1110 return std::make_pair( myShapeID, myShape.ShapeType() );
1112 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1116 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1118 shapeType = myShape.ShapeType();
1119 shapeID = myShapeID;
1121 else if ( n1->getshapeId() == n2->getshapeId() )
1123 shapeID = n2->getshapeId();
1124 shape = GetSubShapeByNode( n1, GetMeshDS() );
1126 else // 2 different shapes
1128 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1129 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1131 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1135 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1138 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1140 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1141 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1142 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1143 if ( IsSubShape( S, F ))
1145 shapeType = TopAbs_FACE;
1146 shapeID = n1->getshapeId();
1150 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1152 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1153 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1154 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1156 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1158 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1159 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1160 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1161 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1163 else // on VERTEX and EDGE
1165 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1166 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1167 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1168 if ( IsSubShape( V, E ))
1171 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1175 if ( !shape.IsNull() )
1178 shapeID = GetMeshDS()->ShapeToIndex( shape );
1179 shapeType = shape.ShapeType(); // EDGE or FACE
1181 if ( expectedSupport < shapeType &&
1182 expectedSupport != TopAbs_SHAPE &&
1183 !myShape.IsNull() &&
1184 myShape.ShapeType() == expectedSupport )
1186 // e.g. a side of triangle connects nodes on the same EDGE but does not
1187 // lie on this EDGE (an arc with a coarse mesh)
1188 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1189 // hope that myShape is a right shape, return it if the found shape
1190 // has converted elements of corresponding dim (segments in our example)
1191 int nbConvertedElems = 0;
1192 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1193 for ( int iN = 0; iN < 2; ++iN )
1195 const SMDS_MeshNode* n = iN ? n2 : n1;
1196 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1197 while ( it->more() )
1199 const SMDS_MeshElement* elem = it->next();
1200 if ( elem->getshapeId() == shapeID &&
1201 elem->IsQuadratic() )
1208 if ( nbConvertedElems == 2 )
1210 shapeType = myShape.ShapeType();
1211 shapeID = myShapeID;
1215 return make_pair( shapeID, shapeType );
1218 //=======================================================================
1219 //function : GetCentralNode
1220 //purpose : Return existing or create a new central node for a quardilateral
1221 // quadratic face given its 8 nodes.
1222 //@param : force3d - true means node creation in between the given nodes,
1223 // else node position is found on a geometrical face if any.
1224 //=======================================================================
1226 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1227 const SMDS_MeshNode* n2,
1228 const SMDS_MeshNode* n3,
1229 const SMDS_MeshNode* n4,
1230 const SMDS_MeshNode* n12,
1231 const SMDS_MeshNode* n23,
1232 const SMDS_MeshNode* n34,
1233 const SMDS_MeshNode* n41,
1236 SMDS_MeshNode *centralNode = 0; // central node to return
1238 // Find an existing central node
1240 TBiQuad keyOfMap(n1,n2,n3,n4);
1241 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1242 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1243 if ( itMapCentralNode != myMapWithCentralNode.end() )
1245 return (*itMapCentralNode).second;
1248 // Get type of shape for the new central node
1250 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1254 TopTools_ListIteratorOfListOfShape it;
1256 std::map< int, int > faceId2nbNodes;
1257 std::map< int, int > ::iterator itMapWithIdFace;
1259 SMESHDS_Mesh* meshDS = GetMeshDS();
1261 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1262 // on sub-shapes of the FACE
1263 if ( GetMesh()->HasShapeToMesh() )
1265 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1266 for(int i = 0; i < 4; i++)
1268 shape = GetSubShapeByNode( nodes[i], meshDS );
1269 if ( shape.IsNull() ) break;
1270 if ( shape.ShapeType() == TopAbs_SOLID )
1272 solidID = nodes[i]->getshapeId();
1273 shapeType = TopAbs_SOLID;
1276 if ( shape.ShapeType() == TopAbs_FACE )
1278 faceID = nodes[i]->getshapeId();
1279 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1280 itMapWithIdFace->second++;
1284 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1285 while ( const TopoDS_Shape* face = it->next() )
1287 faceID = meshDS->ShapeToIndex( *face );
1288 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1289 itMapWithIdFace->second++;
1294 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1296 // find ID of the FACE the four corner nodes belong to
1297 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1298 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1299 itMapWithIdFace->second == 4 )
1301 shapeType = TopAbs_FACE;
1306 itMapWithIdFace = faceId2nbNodes.begin();
1307 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1309 if ( itMapWithIdFace->second == 4 )
1311 shapeType = TopAbs_FACE;
1312 faceID = (*itMapWithIdFace).first;
1320 if ( shapeType == TopAbs_FACE )
1322 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1329 bool toCheck = true;
1330 if ( !F.IsNull() && !force3d )
1333 GetNodeUV( F,n1, n3, &toCheck ),
1334 GetNodeUV( F,n2, n4, &toCheck ),
1335 GetNodeUV( F,n3, n1, &toCheck ),
1336 GetNodeUV( F,n4, n2, &toCheck ),
1337 GetNodeUV( F,n12, n3 ),
1338 GetNodeUV( F,n23, n4 ),
1339 GetNodeUV( F,n34, n2 ),
1340 GetNodeUV( F,n41, n2 )
1342 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1344 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1346 TopLoc_Location loc;
1347 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1348 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1349 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1350 // if ( mySetElemOnShape ) node is not elem!
1351 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1353 else // ( force3d || F.IsNull() )
1355 P = calcTFI (0.5, 0.5,
1356 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1357 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1358 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1359 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1360 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1362 if ( !F.IsNull() ) // force3d
1364 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1365 GetNodeUV(F,n2,n4,&toCheck) +
1366 GetNodeUV(F,n3,n1,&toCheck) +
1367 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1368 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1369 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1371 else if ( solidID > 0 )
1373 meshDS->SetNodeInVolume( centralNode, solidID );
1375 else if ( myShapeID > 0 && mySetElemOnShape )
1377 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1380 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1384 //=======================================================================
1385 //function : GetCentralNode
1386 //purpose : Return existing or create a new central node for a
1387 // quadratic triangle given its 6 nodes.
1388 //@param : force3d - true means node creation in between the given nodes,
1389 // else node position is found on a geometrical face if any.
1390 //=======================================================================
1392 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1393 const SMDS_MeshNode* n2,
1394 const SMDS_MeshNode* n3,
1395 const SMDS_MeshNode* n12,
1396 const SMDS_MeshNode* n23,
1397 const SMDS_MeshNode* n31,
1400 SMDS_MeshNode *centralNode = 0; // central node to return
1402 // Find an existing central node
1404 TBiQuad keyOfMap(n1,n2,n3);
1405 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1406 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1407 if ( itMapCentralNode != myMapWithCentralNode.end() )
1409 return (*itMapCentralNode).second;
1412 // Get type of shape for the new central node
1414 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1418 TopTools_ListIteratorOfListOfShape it;
1420 std::map< int, int > faceId2nbNodes;
1421 std::map< int, int > ::iterator itMapWithIdFace;
1423 SMESHDS_Mesh* meshDS = GetMeshDS();
1425 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1426 // on sub-shapes of the FACE
1427 if ( GetMesh()->HasShapeToMesh() )
1429 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1430 for(int i = 0; i < 3; i++)
1432 shape = GetSubShapeByNode( nodes[i], meshDS );
1433 if ( shape.IsNull() ) break;
1434 if ( shape.ShapeType() == TopAbs_SOLID )
1436 solidID = nodes[i]->getshapeId();
1437 shapeType = TopAbs_SOLID;
1440 if ( shape.ShapeType() == TopAbs_FACE )
1442 faceID = nodes[i]->getshapeId();
1443 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1444 itMapWithIdFace->second++;
1448 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1449 while ( const TopoDS_Shape* face = it->next() )
1451 faceID = meshDS->ShapeToIndex( *face );
1452 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1453 itMapWithIdFace->second++;
1458 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1460 // find ID of the FACE the four corner nodes belong to
1461 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1462 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1463 itMapWithIdFace->second == 4 )
1465 shapeType = TopAbs_FACE;
1470 itMapWithIdFace = faceId2nbNodes.begin();
1471 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1473 if ( itMapWithIdFace->second == 3 )
1475 shapeType = TopAbs_FACE;
1476 faceID = (*itMapWithIdFace).first;
1486 if ( shapeType == TopAbs_FACE )
1488 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1489 bool checkOK = true, badTria = false;
1491 GetNodeUV( F, n1, n23, &checkOK ),
1492 GetNodeUV( F, n2, n31, &checkOK ),
1493 GetNodeUV( F, n3, n12, &checkOK ),
1494 GetNodeUV( F, n12, n3, &checkOK ),
1495 GetNodeUV( F, n23, n1, &checkOK ),
1496 GetNodeUV( F, n31, n2, &checkOK )
1498 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1500 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1502 if ( badTria || !checkOK )
1506 // Create a central node
1509 if ( !F.IsNull() && !force3d )
1511 TopLoc_Location loc;
1512 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1513 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1514 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1515 // if ( mySetElemOnShape ) node is not elem!
1516 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1518 else // ( force3d || F.IsNull() )
1520 P = ( SMESH_TNodeXYZ( n12 ) +
1521 SMESH_TNodeXYZ( n23 ) +
1522 SMESH_TNodeXYZ( n31 ) ) / 3;
1523 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1525 if ( !F.IsNull() ) // force3d
1527 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1529 else if ( solidID > 0 )
1531 meshDS->SetNodeInVolume( centralNode, solidID );
1533 else if ( myShapeID > 0 && mySetElemOnShape )
1535 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1538 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1542 //=======================================================================
1543 //function : GetMediumNode
1544 //purpose : Return existing or create a new medium node between given ones
1545 //=======================================================================
1547 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1548 const SMDS_MeshNode* n2,
1550 TopAbs_ShapeEnum expectedSupport)
1552 // Find existing node
1554 SMESH_TLink link(n1,n2);
1555 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1556 if ( itLN != myTLinkNodeMap.end() ) {
1557 return (*itLN).second;
1560 // Create medium node
1563 SMESHDS_Mesh* meshDS = GetMeshDS();
1565 if ( IsSeamShape( n1->getshapeId() ))
1566 // to get a correct UV of a node on seam, the second node must have checked UV
1567 std::swap( n1, n2 );
1569 // get type of shape for the new medium node
1570 int faceID = -1, edgeID = -1;
1571 TopoDS_Edge E; double u [2];
1572 TopoDS_Face F; gp_XY uv[2];
1573 bool uvOK[2] = { true, true };
1574 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1576 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1578 // get positions of the given nodes on shapes
1579 if ( pos.second == TopAbs_FACE )
1581 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1582 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1583 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1585 else if ( pos.second == TopAbs_EDGE )
1587 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1588 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1589 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1590 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1591 n1->getshapeId() != n2->getshapeId() )
1594 return getMediumNodeOnComposedWire(n1,n2,force3d);
1596 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1598 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1599 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1601 catch ( Standard_Failure& f )
1603 // issue 22502 / a node is on VERTEX not belonging to E
1604 // issue 22568 / both nodes are on non-connected VERTEXes
1605 return getMediumNodeOnComposedWire(n1,n2,force3d);
1609 if ( !force3d & uvOK[0] && uvOK[1] )
1611 // we try to create medium node using UV parameters of
1612 // nodes, else - medium between corresponding 3d points
1615 //if ( uvOK[0] && uvOK[1] )
1617 if ( IsDegenShape( n1->getshapeId() )) {
1618 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1619 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1621 else if ( IsDegenShape( n2->getshapeId() )) {
1622 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1623 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1625 TopLoc_Location loc;
1626 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1627 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1628 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1629 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1630 // if ( mySetElemOnShape ) node is not elem!
1631 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1632 myTLinkNodeMap.insert(make_pair(link,n12));
1636 else if ( !E.IsNull() )
1639 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1642 Standard_Boolean isPeriodic = C->IsPeriodic();
1645 Standard_Real Period = C->Period();
1646 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1647 Standard_Real pmid = (u[0]+p)/2.;
1648 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1653 gp_Pnt P = C->Value( U );
1654 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1655 //if ( mySetElemOnShape ) node is not elem!
1656 meshDS->SetNodeOnEdge(n12, edgeID, U);
1657 myTLinkNodeMap.insert(make_pair(link,n12));
1664 double x = ( n1->X() + n2->X() )/2.;
1665 double y = ( n1->Y() + n2->Y() )/2.;
1666 double z = ( n1->Z() + n2->Z() )/2.;
1667 n12 = meshDS->AddNode(x,y,z);
1669 //if ( mySetElemOnShape ) node is not elem!
1673 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1674 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1675 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1677 else if ( !E.IsNull() )
1679 double U = ( u[0] + u[1] ) / 2.;
1680 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1681 meshDS->SetNodeOnEdge(n12, edgeID, U);
1683 else if ( myShapeID > 0 && mySetElemOnShape )
1685 meshDS->SetMeshElementOnShape(n12, myShapeID);
1689 myTLinkNodeMap.insert( make_pair( link, n12 ));
1693 //================================================================================
1695 * \brief Makes a medium node if nodes reside different edges
1697 //================================================================================
1699 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1700 const SMDS_MeshNode* n2,
1703 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1704 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1705 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1707 // To find position on edge and 3D position for n12,
1708 // project <middle> to 2 edges and select projection most close to <middle>
1710 TopoDS_Edge bestEdge;
1711 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1713 // get shapes under the nodes
1714 TopoDS_Shape shape[2];
1716 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1718 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1719 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1721 shape[ nbShapes++ ] = S;
1724 vector< TopoDS_Shape > edges;
1725 for ( int iS = 0; iS < nbShapes; ++iS )
1727 switch ( shape[iS].ShapeType() ) {
1730 edges.push_back( shape[iS] );
1736 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1737 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1739 if ( edge.IsNull() )
1741 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1742 while( const TopoDS_Shape* e = eIt->next() )
1743 edges.push_back( *e );
1749 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1750 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1751 edges.push_back( e.Current() );
1758 // project to get U of projection and distance from middle to projection
1759 for ( size_t iE = 0; iE < edges.size(); ++iE )
1761 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1762 distXYZ[0] = distMiddleProj;
1764 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1765 if ( distXYZ[0] < distMiddleProj )
1767 distMiddleProj = distXYZ[0];
1773 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1774 // TopoDS_Vertex vCommon;
1775 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1776 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1779 // double f,l, u0 = GetNodeU( edges[0], n1 );
1780 // BRep_Tool::Range( edges[0],f,l );
1781 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1784 // distMiddleProj = 0;
1787 if ( !bestEdge.IsNull() )
1789 // move n12 to position of a successfull projection
1790 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1791 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1793 TopLoc_Location loc;
1794 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1795 gp_Pnt p = curve->Value( u ).Transformed( loc );
1796 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1798 //if ( mySetElemOnShape ) node is not elem!
1800 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1801 if ( edgeID != n12->getshapeId() )
1802 GetMeshDS()->UnSetNodeOnShape( n12 );
1803 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1806 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1811 //=======================================================================
1812 //function : AddNode
1813 //purpose : Creates a node
1814 //=======================================================================
1816 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1819 SMESHDS_Mesh * meshDS = GetMeshDS();
1820 SMDS_MeshNode* node = 0;
1822 node = meshDS->AddNodeWithID( x, y, z, ID );
1824 node = meshDS->AddNode( x, y, z );
1825 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1826 switch ( myShape.ShapeType() ) {
1827 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1828 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1829 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1830 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1831 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1838 //=======================================================================
1839 //function : AddEdge
1840 //purpose : Creates quadratic or linear edge
1841 //=======================================================================
1843 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1844 const SMDS_MeshNode* n2,
1848 SMESHDS_Mesh * meshDS = GetMeshDS();
1850 SMDS_MeshEdge* edge = 0;
1851 if (myCreateQuadratic) {
1852 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1854 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1856 edge = meshDS->AddEdge(n1, n2, n12);
1860 edge = meshDS->AddEdgeWithID(n1, n2, id);
1862 edge = meshDS->AddEdge(n1, n2);
1865 if ( mySetElemOnShape && myShapeID > 0 )
1866 meshDS->SetMeshElementOnShape( edge, myShapeID );
1871 //=======================================================================
1872 //function : AddFace
1873 //purpose : Creates quadratic or linear triangle
1874 //=======================================================================
1876 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1877 const SMDS_MeshNode* n2,
1878 const SMDS_MeshNode* n3,
1882 SMESHDS_Mesh * meshDS = GetMeshDS();
1883 SMDS_MeshFace* elem = 0;
1885 if( n1==n2 || n2==n3 || n3==n1 )
1888 if(!myCreateQuadratic) {
1890 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1892 elem = meshDS->AddFace(n1, n2, n3);
1895 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1896 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1897 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1898 if(myCreateBiQuadratic)
1900 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1902 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1904 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1909 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1911 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1914 if ( mySetElemOnShape && myShapeID > 0 )
1915 meshDS->SetMeshElementOnShape( elem, myShapeID );
1920 //=======================================================================
1921 //function : AddFace
1922 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1923 //=======================================================================
1925 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1926 const SMDS_MeshNode* n2,
1927 const SMDS_MeshNode* n3,
1928 const SMDS_MeshNode* n4,
1932 SMESHDS_Mesh * meshDS = GetMeshDS();
1933 SMDS_MeshFace* elem = 0;
1936 return AddFace(n1,n3,n4,id,force3d);
1939 return AddFace(n1,n2,n4,id,force3d);
1942 return AddFace(n1,n2,n3,id,force3d);
1945 return AddFace(n1,n2,n4,id,force3d);
1948 return AddFace(n1,n2,n3,id,force3d);
1951 return AddFace(n1,n2,n3,id,force3d);
1954 if(!myCreateQuadratic) {
1956 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1958 elem = meshDS->AddFace(n1, n2, n3, n4);
1961 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1962 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1963 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
1964 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
1965 if(myCreateBiQuadratic)
1967 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1969 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1971 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1976 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1978 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1981 if ( mySetElemOnShape && myShapeID > 0 )
1982 meshDS->SetMeshElementOnShape( elem, myShapeID );
1987 //=======================================================================
1988 //function : AddPolygonalFace
1989 //purpose : Creates polygon, with additional nodes in quadratic mesh
1990 //=======================================================================
1992 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1996 SMESHDS_Mesh * meshDS = GetMeshDS();
1997 SMDS_MeshFace* elem = 0;
1999 if(!myCreateQuadratic) {
2001 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2003 elem = meshDS->AddPolygonalFace(nodes);
2006 vector<const SMDS_MeshNode*> newNodes;
2007 for ( int i = 0; i < nodes.size(); ++i )
2009 const SMDS_MeshNode* n1 = nodes[i];
2010 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2011 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2012 newNodes.push_back( n1 );
2013 newNodes.push_back( n12 );
2016 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
2018 elem = meshDS->AddPolygonalFace(newNodes);
2020 if ( mySetElemOnShape && myShapeID > 0 )
2021 meshDS->SetMeshElementOnShape( elem, myShapeID );
2026 //=======================================================================
2027 //function : AddVolume
2028 //purpose : Creates quadratic or linear prism
2029 //=======================================================================
2031 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2032 const SMDS_MeshNode* n2,
2033 const SMDS_MeshNode* n3,
2034 const SMDS_MeshNode* n4,
2035 const SMDS_MeshNode* n5,
2036 const SMDS_MeshNode* n6,
2040 SMESHDS_Mesh * meshDS = GetMeshDS();
2041 SMDS_MeshVolume* elem = 0;
2042 if(!myCreateQuadratic) {
2044 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2046 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2049 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2050 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2051 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2053 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2054 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2055 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2057 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2058 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2059 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2062 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2063 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2065 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2066 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2068 if ( mySetElemOnShape && myShapeID > 0 )
2069 meshDS->SetMeshElementOnShape( elem, myShapeID );
2074 //=======================================================================
2075 //function : AddVolume
2076 //purpose : Creates quadratic or linear tetrahedron
2077 //=======================================================================
2079 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2080 const SMDS_MeshNode* n2,
2081 const SMDS_MeshNode* n3,
2082 const SMDS_MeshNode* n4,
2086 SMESHDS_Mesh * meshDS = GetMeshDS();
2087 SMDS_MeshVolume* elem = 0;
2088 if(!myCreateQuadratic) {
2090 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2092 elem = meshDS->AddVolume(n1, n2, n3, n4);
2095 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2096 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2097 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2099 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2100 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2101 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2104 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2106 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2108 if ( mySetElemOnShape && myShapeID > 0 )
2109 meshDS->SetMeshElementOnShape( elem, myShapeID );
2114 //=======================================================================
2115 //function : AddVolume
2116 //purpose : Creates quadratic or linear pyramid
2117 //=======================================================================
2119 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2120 const SMDS_MeshNode* n2,
2121 const SMDS_MeshNode* n3,
2122 const SMDS_MeshNode* n4,
2123 const SMDS_MeshNode* n5,
2127 SMDS_MeshVolume* elem = 0;
2128 if(!myCreateQuadratic) {
2130 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2132 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2135 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2136 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2137 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2138 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2140 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2141 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2142 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2143 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2146 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2151 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2153 n15, n25, n35, n45);
2155 if ( mySetElemOnShape && myShapeID > 0 )
2156 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2161 //=======================================================================
2162 //function : AddVolume
2163 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2164 //=======================================================================
2166 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2167 const SMDS_MeshNode* n2,
2168 const SMDS_MeshNode* n3,
2169 const SMDS_MeshNode* n4,
2170 const SMDS_MeshNode* n5,
2171 const SMDS_MeshNode* n6,
2172 const SMDS_MeshNode* n7,
2173 const SMDS_MeshNode* n8,
2177 SMESHDS_Mesh * meshDS = GetMeshDS();
2178 SMDS_MeshVolume* elem = 0;
2179 if(!myCreateQuadratic) {
2181 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2183 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2186 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2187 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2188 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2189 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2191 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2192 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2193 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2194 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2196 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2197 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2198 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2199 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2200 if ( myCreateBiQuadratic )
2202 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2203 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2204 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2205 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2206 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2207 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2209 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2211 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2212 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2213 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2214 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2215 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2216 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2217 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2218 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2220 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2221 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2222 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2223 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2224 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2225 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2226 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2227 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2228 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2229 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2230 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2231 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2233 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2234 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2235 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2236 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2237 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2238 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2240 gp_XYZ centerCube(0.5, 0.5, 0.5);
2242 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2243 const SMDS_MeshNode* nCenter =
2244 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2245 meshDS->SetNodeInVolume( nCenter, myShapeID );
2248 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2249 n12, n23, n34, n41, n56, n67,
2250 n78, n85, n15, n26, n37, n48,
2251 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2253 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2254 n12, n23, n34, n41, n56, n67,
2255 n78, n85, n15, n26, n37, n48,
2256 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2261 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2262 n12, n23, n34, n41, n56, n67,
2263 n78, n85, n15, n26, n37, n48, id);
2265 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2266 n12, n23, n34, n41, n56, n67,
2267 n78, n85, n15, n26, n37, n48);
2270 if ( mySetElemOnShape && myShapeID > 0 )
2271 meshDS->SetMeshElementOnShape( elem, myShapeID );
2276 //=======================================================================
2277 //function : AddVolume
2278 //purpose : Creates LINEAR!!!!!!!!! octahedron
2279 //=======================================================================
2281 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2282 const SMDS_MeshNode* n2,
2283 const SMDS_MeshNode* n3,
2284 const SMDS_MeshNode* n4,
2285 const SMDS_MeshNode* n5,
2286 const SMDS_MeshNode* n6,
2287 const SMDS_MeshNode* n7,
2288 const SMDS_MeshNode* n8,
2289 const SMDS_MeshNode* n9,
2290 const SMDS_MeshNode* n10,
2291 const SMDS_MeshNode* n11,
2292 const SMDS_MeshNode* n12,
2296 SMESHDS_Mesh * meshDS = GetMeshDS();
2297 SMDS_MeshVolume* elem = 0;
2299 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2301 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2302 if ( mySetElemOnShape && myShapeID > 0 )
2303 meshDS->SetMeshElementOnShape( elem, myShapeID );
2307 //=======================================================================
2308 //function : AddPolyhedralVolume
2309 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2310 //=======================================================================
2313 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2314 const std::vector<int>& quantities,
2318 SMESHDS_Mesh * meshDS = GetMeshDS();
2319 SMDS_MeshVolume* elem = 0;
2320 if(!myCreateQuadratic)
2323 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2325 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2329 vector<const SMDS_MeshNode*> newNodes;
2330 vector<int> newQuantities;
2331 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2333 int nbNodesInFace = quantities[iFace];
2334 newQuantities.push_back(0);
2335 for ( int i = 0; i < nbNodesInFace; ++i )
2337 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2338 newNodes.push_back( n1 );
2339 newQuantities.back()++;
2341 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2342 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2343 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2345 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2346 newNodes.push_back( n12 );
2347 newQuantities.back()++;
2350 iN += nbNodesInFace;
2353 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2355 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2357 if ( mySetElemOnShape && myShapeID > 0 )
2358 meshDS->SetMeshElementOnShape( elem, myShapeID );
2365 //================================================================================
2367 * \brief Check if a node belongs to any face of sub-mesh
2369 //================================================================================
2371 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2373 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2374 while ( fIt->more() )
2375 if ( sm->Contains( fIt->next() ))
2381 //=======================================================================
2382 //function : IsSameElemGeometry
2383 //purpose : Returns true if all elements of a sub-mesh are of same shape
2384 //=======================================================================
2386 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2387 SMDSAbs_GeometryType shape,
2388 const bool nullSubMeshRes)
2390 if ( !smDS ) return nullSubMeshRes;
2392 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2393 while ( elemIt->more() ) {
2394 const SMDS_MeshElement* e = elemIt->next();
2395 if ( e->GetGeomType() != shape )
2401 //=======================================================================
2402 //function : LoadNodeColumns
2403 //purpose : Load nodes bound to face into a map of node columns
2404 //=======================================================================
2406 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2407 const TopoDS_Face& theFace,
2408 const TopoDS_Edge& theBaseEdge,
2409 SMESHDS_Mesh* theMesh,
2410 SMESH_ProxyMesh* theProxyMesh)
2412 return LoadNodeColumns(theParam2ColumnMap,
2414 std::list<TopoDS_Edge>(1,theBaseEdge),
2419 //=======================================================================
2420 //function : LoadNodeColumns
2421 //purpose : Load nodes bound to face into a map of node columns
2422 //=======================================================================
2424 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2425 const TopoDS_Face& theFace,
2426 const std::list<TopoDS_Edge>& theBaseSide,
2427 SMESHDS_Mesh* theMesh,
2428 SMESH_ProxyMesh* theProxyMesh)
2430 // get a right sub-mesh of theFace
2432 const SMESHDS_SubMesh* faceSubMesh = 0;
2435 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2436 if ( !faceSubMesh ||
2437 faceSubMesh->NbElements() == 0 ||
2438 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2440 // can use a proxy sub-mesh with not temporary elements only
2446 faceSubMesh = theMesh->MeshElements( theFace );
2447 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2450 if ( theParam2ColumnMap.empty() )
2452 // get data of edges for normalization of params
2453 vector< double > length;
2455 list<TopoDS_Edge>::const_iterator edge;
2457 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2459 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2461 length.push_back( len );
2465 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2466 edge = theBaseSide.begin();
2467 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2469 map< double, const SMDS_MeshNode*> sortedBaseNN;
2470 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2472 map< double, const SMDS_MeshNode*>::iterator u_n;
2473 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2474 // so the following solution is commented (hope forever :)
2476 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2477 // // SMDSAbs_Edge here is needed to be coherent with
2478 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2479 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2480 // // medium node on EDGE is medium in a triangle but not
2483 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2484 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2485 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2487 // const SMDS_MeshNode* node = u_n->second;
2488 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2489 // if ( faceIt->more() && node ) {
2490 // const SMDS_MeshElement* face = faceIt->next();
2491 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2495 // sortedBaseNN.erase( u_n++ );
2499 if ( sortedBaseNN.empty() ) continue;
2501 u_n = sortedBaseNN.begin();
2502 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2504 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2505 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2506 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2507 n2 != theProxyMesh->GetProxyNode( n2 ));
2508 if ( allNodesAreProxy )
2509 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2510 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2512 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2514 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2515 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2517 if ( !sortedBaseNN.empty() )
2518 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2520 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2521 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2523 if ( sortedBaseNN.empty() ) continue;
2527 BRep_Tool::Range( *edge, f, l );
2528 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2529 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2530 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2531 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2533 double par = prevPar + coeff * ( u_n->first - f );
2534 TParam2ColumnMap::iterator u2nn =
2535 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2536 u2nn->second.push_back( u_n->second );
2539 if ( theParam2ColumnMap.size() < 2 )
2544 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2545 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2547 // fill theParam2ColumnMap column by column by passing from nodes on
2548 // theBaseEdge up via mesh faces on theFace
2550 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2551 par_nVec_2 = theParam2ColumnMap.begin();
2552 par_nVec_1 = par_nVec_2++;
2553 TIDSortedElemSet emptySet, avoidSet;
2554 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2556 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2557 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2558 nCol1.resize( prevNbRows + expectedNbRows );
2559 nCol2.resize( prevNbRows + expectedNbRows );
2561 int i1, i2, foundNbRows = 0;
2562 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2563 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2564 // find face sharing node n1 and n2 and belonging to faceSubMesh
2565 while ( const SMDS_MeshElement* face =
2566 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2568 if ( faceSubMesh->Contains( face ))
2570 int nbNodes = face->NbCornerNodes();
2573 if ( foundNbRows + 1 > expectedNbRows )
2575 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2576 n2 = face->GetNode( (i1+2) % 4 );
2577 nCol1[ prevNbRows + foundNbRows] = n1;
2578 nCol2[ prevNbRows + foundNbRows] = n2;
2581 avoidSet.insert( face );
2583 if ( foundNbRows != expectedNbRows )
2587 return ( theParam2ColumnMap.size() > 1 &&
2588 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2593 //================================================================================
2595 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2597 //================================================================================
2599 bool isCornerOfStructure( const SMDS_MeshNode* n,
2600 const SMESHDS_SubMesh* faceSM,
2601 SMESH_MesherHelper& faceAnalyser )
2603 int nbFacesInSM = 0;
2605 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2606 while ( fIt->more() )
2607 nbFacesInSM += faceSM->Contains( fIt->next() );
2609 if ( nbFacesInSM == 1 )
2612 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2614 return faceAnalyser.IsRealSeam( n->getshapeId() );
2620 //=======================================================================
2621 //function : IsStructured
2622 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2623 //=======================================================================
2625 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2627 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2628 if ( !fSM || fSM->NbElements() == 0 )
2631 list< TopoDS_Edge > edges;
2632 list< int > nbEdgesInWires;
2633 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2634 edges, nbEdgesInWires );
2635 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2638 // algo: find corners of a structure and then analyze nb of faces and
2639 // length of structure sides
2641 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2642 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2643 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2645 // rotate edges to get the first node being at corner
2646 // (in principle it's not necessary because so far none SALOME algo can make
2647 // such a structured mesh that all corner nodes are not on VERTEXes)
2648 bool isCorner = false;
2649 int nbRemainEdges = nbEdgesInWires.front();
2651 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2652 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2655 edges.splice( edges.end(), edges, edges.begin() );
2659 while ( !isCorner && nbRemainEdges > 0 );
2664 // get all nodes from EDGEs
2665 list< const SMDS_MeshNode* > nodes;
2666 list< TopoDS_Edge >::iterator edge = edges.begin();
2667 for ( ; edge != edges.end(); ++edge )
2669 map< double, const SMDS_MeshNode* > u2Nodes;
2670 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2671 /*skipMedium=*/true, u2Nodes ))
2674 list< const SMDS_MeshNode* > edgeNodes;
2675 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2676 for ( ; u2n != u2Nodes.end(); ++u2n )
2677 edgeNodes.push_back( u2n->second );
2678 if ( edge->Orientation() == TopAbs_REVERSED )
2679 edgeNodes.reverse();
2681 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2682 edgeNodes.pop_front();
2683 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2686 // get length of structured sides
2687 vector<int> nbEdgesInSide;
2689 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2690 for ( ; n != nodes.end(); ++n )
2693 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2694 nbEdgesInSide.push_back( nbEdges );
2700 if ( nbEdgesInSide.size() != 4 )
2702 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2704 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2706 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2712 //=======================================================================
2713 //function : IsDistorted2D
2714 //purpose : Return true if 2D mesh on FACE is ditorted
2715 //=======================================================================
2717 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2720 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2723 bool haveBadFaces = false;
2725 SMESH_MesherHelper helper( *faceSM->GetFather() );
2726 helper.SetSubShape( faceSM->GetSubShape() );
2728 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2729 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2730 if ( !smDS || smDS->NbElements() == 0 ) return false;
2732 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2733 double prevArea = 0;
2734 vector< const SMDS_MeshNode* > nodes;
2736 bool* toCheckUV = checkUV ? & checkUV : 0;
2737 while ( faceIt->more() && !haveBadFaces )
2739 const SMDS_MeshElement* face = faceIt->next();
2742 nodes.resize( face->NbCornerNodes() );
2743 SMDS_MeshElement::iterator n = face->begin_nodes();
2744 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2747 // avoid elems on degenarate shapes as UV on them can be wrong
2748 if ( helper.HasDegeneratedEdges() )
2750 bool isOnDegen = false;
2751 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2752 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2756 // prepare to getting UVs
2757 const SMDS_MeshNode* inFaceNode = 0;
2758 if ( helper.HasSeam() ) {
2759 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2760 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2761 inFaceNode = nodes[ i ];
2766 uv.resize( nodes.size() );
2767 for ( size_t i = 0; i < nodes.size(); ++i )
2768 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2770 // compare orientation of triangles
2771 double faceArea = 0;
2772 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2774 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2775 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2776 faceArea += v2 ^ v1;
2778 haveBadFaces = ( faceArea * prevArea < 0 );
2779 prevArea = faceArea;
2782 return haveBadFaces;
2785 //================================================================================
2787 * \brief Find out elements orientation on a geometrical face
2788 * \param theFace - The face correctly oriented in the shape being meshed
2789 * \retval bool - true if the face normal and the normal of first element
2790 * in the correspoding submesh point in different directions
2792 //================================================================================
2794 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2796 if ( theFace.IsNull() )
2799 // find out orientation of a meshed face
2800 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2801 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2802 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2804 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2805 if ( !aSubMeshDSFace )
2808 // find an element on a bounday of theFace
2809 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2810 const SMDS_MeshNode* nn[2];
2811 while ( iteratorElem->more() ) // loop on elements on theFace
2813 const SMDS_MeshElement* elem = iteratorElem->next();
2814 if ( ! elem ) continue;
2816 // look for 2 nodes on EDGE
2817 int nbNodes = elem->NbCornerNodes();
2818 nn[0] = elem->GetNode( nbNodes-1 );
2819 for ( int iN = 0; iN < nbNodes; ++iN )
2821 nn[1] = elem->GetNode( iN );
2822 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2823 nn[1]->GetPosition()->GetDim() < 2 )
2825 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2826 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2827 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2828 if ( !E.IsNull() && !s0.IsSame( s1 ))
2832 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2833 if ( E.IsSame( exp.Current() )) {
2835 E = exp.Current(); // to know orientation
2840 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2841 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2844 isReversed = ( u0 > u1 );
2845 if ( E.Orientation() == TopAbs_REVERSED )
2846 isReversed = !isReversed;
2856 // find an element with a good normal
2858 bool normalOK = false;
2860 iteratorElem = aSubMeshDSFace->GetElements();
2861 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2863 const SMDS_MeshElement* elem = iteratorElem->next();
2864 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2868 // get UV of a node inside theFACE
2869 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2870 const SMDS_MeshNode* nInFace = 0;
2871 int iPosDim = SMDS_TOP_VERTEX;
2872 while ( nodesIt->more() ) // loop on nodes
2874 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2875 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2878 iPosDim = n->GetPosition()->GetTypeOfPosition();
2881 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2886 // face normal at node position
2887 TopLoc_Location loc;
2888 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2889 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2890 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2891 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2894 gp_Vec d1u, d1v; gp_Pnt p;
2895 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2896 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2898 if ( theFace.Orientation() == TopAbs_REVERSED )
2901 return Ne * Nf < 0.;
2904 //=======================================================================
2906 //purpose : Count nb of sub-shapes
2907 //=======================================================================
2909 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2910 const TopAbs_ShapeEnum type,
2911 const bool ignoreSame)
2914 TopTools_IndexedMapOfShape map;
2915 TopExp::MapShapes( shape, type, map );
2916 return map.Extent();
2920 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2926 //=======================================================================
2927 //function : NbAncestors
2928 //purpose : Return number of unique ancestors of the shape
2929 //=======================================================================
2931 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2932 const SMESH_Mesh& mesh,
2933 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2935 TopTools_MapOfShape ancestors;
2936 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2937 for ( ; ansIt.More(); ansIt.Next() ) {
2938 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2939 ancestors.Add( ansIt.Value() );
2941 return ancestors.Extent();
2944 //=======================================================================
2945 //function : GetSubShapeOri
2946 //purpose : Return orientation of sub-shape in the main shape
2947 //=======================================================================
2949 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2950 const TopoDS_Shape& subShape)
2952 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2953 if ( !shape.IsNull() && !subShape.IsNull() )
2955 TopExp_Explorer e( shape, subShape.ShapeType() );
2956 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2957 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2958 for ( ; e.More(); e.Next())
2959 if ( subShape.IsSame( e.Current() ))
2962 ori = e.Current().Orientation();
2967 //=======================================================================
2968 //function : IsSubShape
2970 //=======================================================================
2972 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2973 const TopoDS_Shape& mainShape )
2975 if ( !shape.IsNull() && !mainShape.IsNull() )
2977 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2980 if ( shape.IsSame( exp.Current() ))
2983 SCRUTE((shape.IsNull()));
2984 SCRUTE((mainShape.IsNull()));
2988 //=======================================================================
2989 //function : IsSubShape
2991 //=======================================================================
2993 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2995 if ( shape.IsNull() || !aMesh )
2998 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3000 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3003 //=======================================================================
3004 //function : IsBlock
3006 //=======================================================================
3008 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3010 if ( shape.IsNull() )
3014 TopExp_Explorer exp( shape, TopAbs_SHELL );
3015 if ( !exp.More() ) return false;
3016 shell = TopoDS::Shell( exp.Current() );
3017 if ( exp.Next(), exp.More() ) return false;
3020 TopTools_IndexedMapOfOrientedShape map;
3021 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3025 //================================================================================
3027 * \brief Return maximal tolerance of shape
3029 //================================================================================
3031 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3033 double tol = Precision::Confusion();
3034 TopExp_Explorer exp;
3035 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3036 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3037 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3038 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3039 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3040 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3045 //================================================================================
3047 * \brief Return MaxTolerance( face ), probably cached
3049 //================================================================================
3051 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3053 int faceID = GetMeshDS()->ShapeToIndex( face );
3055 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3056 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3058 tol = MaxTolerance( face );
3063 //================================================================================
3065 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3066 * of the FACE normal
3067 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3068 * 1e100 in case of failure
3069 * \waring Care about order of the EDGEs and their orientation to be as they are
3070 * within the FACE! Don't pass degenerated EDGEs neither!
3072 //================================================================================
3074 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3075 const TopoDS_Edge & theE2,
3076 const TopoDS_Face & theFace,
3077 const TopoDS_Vertex & theCommonV,
3078 gp_Vec* theFaceNormal)
3080 double angle = 1e100;
3084 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3085 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3086 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3087 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3088 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3089 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3090 if ( c1.IsNull() || c2.IsNull() )
3092 gp_XY uv = c2d1->Value( p1 ).XY();
3093 gp_Vec du, dv; gp_Pnt p;
3094 surf->D1( uv.X(), uv.Y(), p, du, dv );
3095 gp_Vec vec1, vec2, vecRef = du ^ dv;
3098 while ( vecRef.SquareMagnitude() < 1e-25 )
3100 double dp = ( l - f ) / 1000.;
3101 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3102 uv = c2d1->Value( p1tmp ).XY();
3103 surf->D1( uv.X(), uv.Y(), p, du, dv );
3105 if ( ++nbLoops > 10 )
3108 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3113 if ( theFace.Orientation() == TopAbs_REVERSED )
3115 if ( theFaceNormal ) *theFaceNormal = vecRef;
3117 c1->D1( p1, p, vec1 );
3118 c2->D1( p2, p, vec2 );
3119 // TopoDS_Face F = theFace;
3120 // if ( F.Orientation() == TopAbs_INTERNAL )
3121 // F.Orientation( TopAbs_FORWARD );
3122 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3124 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3126 angle = vec1.AngleWithRef( vec2, vecRef );
3128 if ( Abs ( angle ) >= 0.99 * M_PI )
3130 BRep_Tool::Range( theE1, f, l );
3131 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3132 c1->D1( p1, p, vec1 );
3133 if ( theE1.Orientation() == TopAbs_REVERSED )
3135 BRep_Tool::Range( theE2, f, l );
3136 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3137 c2->D1( p2, p, vec2 );
3138 if ( theE2.Orientation() == TopAbs_REVERSED )
3140 angle = vec1.AngleWithRef( vec2, vecRef );
3149 //================================================================================
3151 * \brief Check if the first and last vertices of an edge are the same
3152 * \param anEdge - the edge to check
3153 * \retval bool - true if same
3155 //================================================================================
3157 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3159 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3160 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3161 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3164 //================================================================================
3166 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3167 * in the case of INTERNAL edge
3169 //================================================================================
3171 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3175 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3176 anEdge.Orientation( TopAbs_FORWARD );
3178 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3179 TopoDS_Iterator vIt( anEdge, CumOri );
3180 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3183 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3186 //================================================================================
3188 * \brief Return type of shape contained in a group
3189 * \param group - a shape of type TopAbs_COMPOUND
3190 * \param avoidCompound - not to return TopAbs_COMPOUND
3192 //================================================================================
3194 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3195 const bool avoidCompound)
3197 if ( !group.IsNull() )
3199 if ( group.ShapeType() != TopAbs_COMPOUND )
3200 return group.ShapeType();
3202 // iterate on a compound
3203 TopoDS_Iterator it( group );
3205 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3207 return TopAbs_SHAPE;
3210 //================================================================================
3212 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3213 * \param [in] hyp - the hypothesis
3214 * \param [in] shape - the shape, for meshing which the \a hyp is used
3215 * \param [in] mesh - the mesh
3216 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3218 //================================================================================
3220 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3221 const TopoDS_Shape& shape,
3224 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3225 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3227 TopoDS_Shape shapeOfHyp;
3228 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3232 //=======================================================================
3233 //function : IsQuadraticMesh
3234 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3235 // quadratic elements will be created.
3236 // Used then generated 3D mesh without geometry.
3237 //=======================================================================
3239 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3241 int NbAllEdgsAndFaces=0;
3242 int NbQuadFacesAndEdgs=0;
3243 int NbFacesAndEdges=0;
3244 //All faces and edges
3245 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3246 if ( NbAllEdgsAndFaces == 0 )
3247 return SMESH_MesherHelper::LINEAR;
3249 //Quadratic faces and edges
3250 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3252 //Linear faces and edges
3253 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3255 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3257 return SMESH_MesherHelper::QUADRATIC;
3259 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3261 return SMESH_MesherHelper::LINEAR;
3264 //Mesh with both type of elements
3265 return SMESH_MesherHelper::COMP;
3268 //=======================================================================
3269 //function : GetOtherParam
3270 //purpose : Return an alternative parameter for a node on seam
3271 //=======================================================================
3273 double SMESH_MesherHelper::GetOtherParam(const double param) const
3275 int i = myParIndex & U_periodic ? 0 : 1;
3276 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3281 //=======================================================================
3283 * \brief Iterator on ancestors of the given type
3285 //=======================================================================
3287 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3289 TopTools_ListIteratorOfListOfShape _ancIter;
3290 TopAbs_ShapeEnum _type;
3291 TopTools_MapOfShape _encountered;
3292 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3293 : _ancIter( ancestors ), _type( type )
3295 if ( _ancIter.More() ) {
3296 if ( _ancIter.Value().ShapeType() != _type ) next();
3297 else _encountered.Add( _ancIter.Value() );
3302 return _ancIter.More();
3304 virtual const TopoDS_Shape* next()
3306 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3307 if ( _ancIter.More() )
3308 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3309 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3317 //=======================================================================
3319 * \brief Return iterator on ancestors of the given type
3321 //=======================================================================
3323 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3324 const SMESH_Mesh& mesh,
3325 TopAbs_ShapeEnum ancestorType)
3327 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3330 //=======================================================================
3331 //function : GetCommonAncestor
3332 //purpose : Find a common ancestors of two shapes of the given type
3333 //=======================================================================
3335 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3336 const TopoDS_Shape& shape2,
3337 const SMESH_Mesh& mesh,
3338 TopAbs_ShapeEnum ancestorType)
3340 TopoDS_Shape commonAnc;
3341 if ( !shape1.IsNull() && !shape2.IsNull() )
3343 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3345 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3348 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3349 while ( const TopoDS_Shape* anc = ancIt->next() )
3350 if ( IsSubShape( shape2, *anc ))
3359 //#include <Perf_Meter.hxx>
3361 //=======================================================================
3362 namespace { // Structures used by FixQuadraticElements()
3363 //=======================================================================
3365 #define __DMP__(txt) \
3367 #define MSG(txt) __DMP__(txt<<endl)
3368 #define MSGBEG(txt) __DMP__(txt)
3370 //const double straightTol2 = 1e-33; // to detect straing links
3371 bool isStraightLink(double linkLen2, double middleNodeMove2)
3373 // straight if <node move> < 1/15 * <link length>
3374 return middleNodeMove2 < 1/15./15. * linkLen2;
3378 // ---------------------------------------
3380 * \brief Quadratic link knowing its faces
3382 struct QLink: public SMESH_TLink
3384 const SMDS_MeshNode* _mediumNode;
3385 mutable vector<const QFace* > _faces;
3386 mutable gp_Vec _nodeMove;
3387 mutable int _nbMoves;
3388 mutable bool _is2dFixed; // is moved along surface or in 3D
3390 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3391 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3393 _nodeMove = MediumPnt() - MiddlePnt();
3394 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3396 void SetContinuesFaces() const;
3397 const QFace* GetContinuesFace( const QFace* face ) const;
3398 bool OnBoundary() const;
3399 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3400 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3402 SMDS_TypeOfPosition MediumPos() const
3403 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3404 SMDS_TypeOfPosition EndPos(bool isSecond) const
3405 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3406 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3407 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3409 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3410 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3411 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3412 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3413 bool IsFixedOnSurface() const { return _is2dFixed; }
3414 bool IsStraight() const
3415 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3416 _nodeMove.SquareMagnitude());
3418 bool operator<(const QLink& other) const {
3419 return (node1()->GetID() == other.node1()->GetID() ?
3420 node2()->GetID() < other.node2()->GetID() :
3421 node1()->GetID() < other.node1()->GetID());
3423 // struct PtrComparator {
3424 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3427 // ---------------------------------------------------------
3429 * \brief Link in the chain of links; it connects two faces
3433 const QLink* _qlink;
3434 mutable const QFace* _qfaces[2];
3436 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3437 _qfaces[0] = _qfaces[1] = 0;
3439 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3441 bool IsBoundary() const { return !_qfaces[1]; }
3443 void RemoveFace( const QFace* face ) const
3444 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3446 const QFace* NextFace( const QFace* f ) const
3447 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3449 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3450 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3452 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3454 operator bool() const { return (_qlink); }
3456 const QLink* operator->() const { return _qlink; }
3458 gp_Vec Normal() const;
3460 bool IsStraight() const;
3462 // --------------------------------------------------------------------
3463 typedef list< TChainLink > TChain;
3464 typedef set < TChainLink > TLinkSet;
3465 typedef TLinkSet::const_iterator TLinkInSet;
3467 const int theFirstStep = 5;
3469 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3470 // --------------------------------------------------------------------
3472 * \brief Quadratic face shared by two volumes and bound by QLinks
3474 struct QFace: public TIDSortedNodeSet
3476 mutable const SMDS_MeshElement* _volumes[2];
3477 mutable vector< const QLink* > _sides;
3478 mutable bool _sideIsAdded[4]; // added in chain of links
3481 mutable const SMDS_MeshElement* _face;
3484 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3486 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3488 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3490 void AddSelfToLinks() const {
3491 for ( int i = 0; i < _sides.size(); ++i )
3492 _sides[i]->_faces.push_back( this );
3494 int LinkIndex( const QLink* side ) const {
3495 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3498 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3500 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3502 int i = LinkIndex( link._qlink );
3503 if ( i < 0 ) return true;
3504 _sideIsAdded[i] = true;
3505 link.SetFace( this );
3506 // continue from opposite link
3507 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3509 bool IsBoundary() const { return !_volumes[1]; }
3511 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3513 bool IsSpoiled(const QLink* bentLink ) const;
3515 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3516 const TChainLink& avoidLink,
3517 TLinkInSet * notBoundaryLink = 0,
3518 const SMDS_MeshNode* nodeToContain = 0,
3519 bool * isAdjacentUsed = 0,
3520 int nbRecursionsLeft = -1) const;
3522 TLinkInSet GetLinkByNode( const TLinkSet& links,
3523 const TChainLink& avoidLink,
3524 const SMDS_MeshNode* nodeToContain) const;
3526 const SMDS_MeshNode* GetNodeInFace() const {
3527 for ( int iL = 0; iL < _sides.size(); ++iL )
3528 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3532 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3534 double MoveByBoundary( const TChainLink& theLink,
3535 const gp_Vec& theRefVec,
3536 const TLinkSet& theLinks,
3537 SMESH_MesherHelper* theFaceHelper=0,
3538 const double thePrevLen=0,
3539 const int theStep=theFirstStep,
3540 gp_Vec* theLinkNorm=0,
3541 double theSign=1.0) const;
3544 //================================================================================
3546 * \brief Dump QLink and QFace
3548 ostream& operator << (ostream& out, const QLink& l)
3550 out <<"QLink nodes: "
3551 << l.node1()->GetID() << " - "
3552 << l._mediumNode->GetID() << " - "
3553 << l.node2()->GetID() << endl;
3556 ostream& operator << (ostream& out, const QFace& f)
3558 out <<"QFace nodes: "/*<< &f << " "*/;
3559 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3560 out << (*n)->GetID() << " ";
3561 out << " \tvolumes: "
3562 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3563 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3564 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3568 //================================================================================
3570 * \brief Construct QFace from QLinks
3572 //================================================================================
3574 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3576 _volumes[0] = _volumes[1] = 0;
3578 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3579 _normal.SetCoord(0,0,0);
3580 for ( int i = 1; i < _sides.size(); ++i ) {
3581 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3582 insert( l1->node1() ); insert( l1->node2() );
3584 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3585 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3586 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3590 double normSqSize = _normal.SquareMagnitude();
3591 if ( normSqSize > numeric_limits<double>::min() )
3592 _normal /= sqrt( normSqSize );
3594 _normal.SetCoord(1e-33,0,0);
3600 //================================================================================
3602 * \brief Make up a chain of links
3603 * \param iSide - link to add first
3604 * \param chain - chain to fill in
3605 * \param pos - postion of medium nodes the links should have
3606 * \param error - out, specifies what is wrong
3607 * \retval bool - false if valid chain can't be built; "valid" means that links
3608 * of the chain belongs to rectangles bounding hexahedrons
3610 //================================================================================
3612 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3614 if ( iSide >= _sides.size() ) // wrong argument iSide
3616 if ( _sideIsAdded[ iSide ]) // already in chain
3619 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3622 list< const QFace* > faces( 1, this );
3623 while ( !faces.empty() ) {
3624 const QFace* face = faces.front();
3625 for ( int i = 0; i < face->_sides.size(); ++i ) {
3626 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3627 face->_sideIsAdded[i] = true;
3628 // find a face side in the chain
3629 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3630 // TChain::iterator chLink = chain.begin();
3631 // for ( ; chLink != chain.end(); ++chLink )
3632 // if ( chLink->_qlink == face->_sides[i] )
3634 // if ( chLink == chain.end() )
3635 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3636 // add a face to a chained link and put a continues face in the queue
3637 chLink->SetFace( face );
3638 if ( face->_sides[i]->MediumPos() == pos )
3639 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3640 if ( contFace->_sides.size() == 3 )
3641 faces.push_back( contFace );
3646 if ( error < ERR_TRI )
3648 chain.insert( chain.end(), links.begin(),links.end() );
3651 _sideIsAdded[iSide] = true; // not to add this link to chain again
3652 const QLink* link = _sides[iSide];
3656 // add link into chain
3657 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3658 chLink->SetFace( this );
3661 // propagate from a quadrangle to neighbour faces
3662 if ( link->MediumPos() >= pos ) {
3663 int nbLinkFaces = link->_faces.size();
3664 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3665 // hexahedral mesh or boundary quadrangles - goto a continous face
3666 if ( const QFace* f = link->GetContinuesFace( this ))
3667 if ( f->_sides.size() == 4 )
3668 return f->GetLinkChain( *chLink, chain, pos, error );
3671 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3672 for ( int i = 0; i < nbLinkFaces; ++i )
3673 if ( link->_faces[i] )
3674 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3675 if ( error < ERR_PRISM )
3683 //================================================================================
3685 * \brief Return a boundary link of the triangle face
3686 * \param links - set of all links
3687 * \param avoidLink - link not to return
3688 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3689 * \param nodeToContain - node the returned link must contain; if provided, search
3690 * also performed on adjacent faces
3691 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3692 * \param nbRecursionsLeft - to limit recursion
3694 //================================================================================
3696 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3697 const TChainLink& avoidLink,
3698 TLinkInSet * notBoundaryLink,
3699 const SMDS_MeshNode* nodeToContain,
3700 bool * isAdjacentUsed,
3701 int nbRecursionsLeft) const
3703 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3705 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3706 TFaceLinkList adjacentFaces;
3708 for ( int iL = 0; iL < _sides.size(); ++iL )
3710 if ( avoidLink._qlink == _sides[iL] )
3712 TLinkInSet link = links.find( _sides[iL] );
3713 if ( link == linksEnd ) continue;
3714 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3715 continue; // We work on faces here, don't go inside a solid
3718 if ( link->IsBoundary() ) {
3719 if ( !nodeToContain ||
3720 (*link)->node1() == nodeToContain ||
3721 (*link)->node2() == nodeToContain )
3723 boundaryLink = link;
3724 if ( !notBoundaryLink ) break;
3727 else if ( notBoundaryLink ) {
3728 *notBoundaryLink = link;
3729 if ( boundaryLink != linksEnd ) break;
3732 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3733 if ( const QFace* adj = link->NextFace( this ))
3734 if ( adj->Contains( nodeToContain ))
3735 adjacentFaces.push_back( make_pair( adj, link ));
3738 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3739 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3741 if ( nbRecursionsLeft < 0 )
3742 nbRecursionsLeft = nodeToContain->NbInverseElements();
3743 TFaceLinkList::iterator adj = adjacentFaces.begin();
3744 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3745 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3746 isAdjacentUsed, nbRecursionsLeft-1);
3747 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3749 return boundaryLink;
3751 //================================================================================
3753 * \brief Return a link ending at the given node but not avoidLink
3755 //================================================================================
3757 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3758 const TChainLink& avoidLink,
3759 const SMDS_MeshNode* nodeToContain) const
3761 for ( int i = 0; i < _sides.size(); ++i )
3762 if ( avoidLink._qlink != _sides[i] &&
3763 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3764 return links.find( _sides[ i ]);
3768 //================================================================================
3770 * \brief Return normal to the i-th side pointing outside the face
3772 //================================================================================
3774 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3776 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3777 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3778 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3779 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3781 if ( norm * vecOut < 0 )
3783 double mag2 = norm.SquareMagnitude();
3784 if ( mag2 > numeric_limits<double>::min() )
3785 norm /= sqrt( mag2 );
3788 //================================================================================
3790 * \brief Move medium node of theLink according to its distance from boundary
3791 * \param theLink - link to fix
3792 * \param theRefVec - movement of boundary
3793 * \param theLinks - all adjacent links of continous triangles
3794 * \param theFaceHelper - helper is not used so far
3795 * \param thePrevLen - distance from the boundary
3796 * \param theStep - number of steps till movement propagation limit
3797 * \param theLinkNorm - out normal to theLink
3798 * \param theSign - 1 or -1 depending on movement of boundary
3799 * \retval double - distance from boundary to propagation limit or other boundary
3801 //================================================================================
3803 double QFace::MoveByBoundary( const TChainLink& theLink,
3804 const gp_Vec& theRefVec,
3805 const TLinkSet& theLinks,
3806 SMESH_MesherHelper* theFaceHelper,
3807 const double thePrevLen,
3809 gp_Vec* theLinkNorm,
3810 double theSign) const
3813 return thePrevLen; // propagation limit reached
3815 int iL; // index of theLink
3816 for ( iL = 0; iL < _sides.size(); ++iL )
3817 if ( theLink._qlink == _sides[ iL ])
3820 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3821 <<" thePrevLen " << thePrevLen);
3822 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3824 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3825 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3826 if ( theStep == theFirstStep )
3827 theSign = refProj < 0. ? -1. : 1.;
3828 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3829 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3831 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3832 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3833 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3835 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3836 bool isBndLink1 = true, isBndLink2 = true;
3837 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3839 f1 = link1->NextFace( this );
3840 f2 = link2->NextFace( this );
3842 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3843 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3844 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3846 if ( !isBndLink1 && !f1 )
3847 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3848 if ( !isBndLink2 && !f2 )
3849 f2 = (*link2)->GetContinuesFace( this );
3852 else if ( _sides.size() < 4 )
3855 // propagate to adjacent faces till limit step or boundary
3856 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3857 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3858 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3859 gp_Vec linkDir2(0,0,0);
3862 if ( f1 && !isBndLink1 )
3863 len1 = f1->MoveByBoundary
3864 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3866 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3868 MSG( " --------------- EXCEPTION");
3873 if ( f2 && !isBndLink2 )
3874 len2 = f2->MoveByBoundary
3875 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3877 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3879 MSG( " --------------- EXCEPTION");
3884 if ( theStep != theFirstStep )
3886 // choose chain length by direction of propagation most codirected with theRefVec
3887 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3888 fullLen = choose1 ? len1 : len2;
3889 double r = thePrevLen / fullLen;
3891 gp_Vec move = linkNorm * refProj * ( 1 - r );
3892 theLink->Move( move, /*sum=*/true );
3894 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3895 " by " << refProj * ( 1 - r ) << " following " <<
3896 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3898 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3903 //================================================================================
3905 * \brief Checks if the face is distorted due to bentLink
3907 //================================================================================
3909 bool QFace::IsSpoiled(const QLink* bentLink ) const
3911 // code is valid for convex faces only
3913 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3914 gc += XYZ( *n ) / size();
3915 for (unsigned i = 0; i < _sides.size(); ++i )
3917 if ( _sides[i] == bentLink ) continue;
3918 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3919 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3920 if ( linkNorm * vecOut < 0 )
3922 double mag2 = linkNorm.SquareMagnitude();
3923 if ( mag2 > numeric_limits<double>::min() )
3924 linkNorm /= sqrt( mag2 );
3925 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3926 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3927 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3934 //================================================================================
3936 * \brief Find pairs of continues faces
3938 //================================================================================
3940 void QLink::SetContinuesFaces() const
3942 // x0 x - QLink, [-|] - QFace, v - volume
3944 // | Between _faces of link x2 two vertical faces are continues
3945 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3946 // | to _faces[0] and _faces[1] and horizontal faces to
3947 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3950 if ( _faces.empty() )
3952 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3953 if ( _faces[0]->IsBoundary() )
3954 iBoundary[ nbBoundary++ ] = 0;
3955 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3957 // look for a face bounding none of volumes bound by _faces[0]
3958 bool sameVol = false;
3959 int nbVol = _faces[iF]->NbVolumes();
3960 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3961 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3962 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3965 if ( _faces[iF]->IsBoundary() )
3966 iBoundary[ nbBoundary++ ] = iF;
3968 // Set continues faces: arrange _faces to have
3969 // _faces[0] continues to _faces[1]
3970 // _faces[2] continues to _faces[3]
3971 if ( nbBoundary == 2 ) // bnd faces are continues
3973 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3975 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3976 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3979 else if ( iFaceCont > 0 ) // continues faces found
3981 if ( iFaceCont != 1 )
3982 std::swap( _faces[1], _faces[iFaceCont] );
3984 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3986 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3989 //================================================================================
3991 * \brief Return a face continues to the given one
3993 //================================================================================
3995 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3997 for ( int i = 0; i < _faces.size(); ++i ) {
3998 if ( _faces[i] == face ) {
3999 int iF = i < 2 ? 1-i : 5-i;
4000 return iF < _faces.size() ? _faces[iF] : 0;
4005 //================================================================================
4007 * \brief True if link is on mesh boundary
4009 //================================================================================
4011 bool QLink::OnBoundary() const
4013 for ( int i = 0; i < _faces.size(); ++i )
4014 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4017 //================================================================================
4019 * \brief Return normal of link of the chain
4021 //================================================================================
4023 gp_Vec TChainLink::Normal() const {
4025 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4026 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4029 //================================================================================
4031 * \brief Test link curvature taking into account size of faces
4033 //================================================================================
4035 bool TChainLink::IsStraight() const
4037 bool isStraight = _qlink->IsStraight();
4038 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4040 int i = _qfaces[0]->LinkIndex( _qlink );
4041 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4042 gp_XYZ mid1 = _qlink->MiddlePnt();
4043 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4044 double faceSize2 = (mid1-mid2).SquareModulus();
4045 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4050 //================================================================================
4052 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4054 //================================================================================
4056 void fixPrism( TChain& allLinks )
4058 // separate boundary links from internal ones
4059 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4060 QLinkSet interLinks, bndLinks1, bndLink2;
4062 bool isCurved = false;
4063 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4064 if ( (*lnk)->OnBoundary() )
4065 bndLinks1.insert( lnk->_qlink );
4067 interLinks.insert( lnk->_qlink );
4068 isCurved = isCurved || !lnk->IsStraight();
4071 return; // no need to move
4073 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4075 while ( !interLinks.empty() && !curBndLinks->empty() )
4077 // propagate movement from boundary links to connected internal links
4078 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4079 for ( ; bnd != bndEnd; ++bnd )
4081 const QLink* bndLink = *bnd;
4082 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4084 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4085 if ( !face ) continue;
4086 // find and move internal link opposite to bndLink within the face
4087 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4088 const QLink* interLink = face->_sides[ interInd ];
4089 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4090 if ( pInterLink == interLinks.end() ) continue; // not internal link
4091 interLink->Move( bndLink->_nodeMove );
4092 // treated internal links become new boundary ones
4093 interLinks.erase( pInterLink );
4094 newBndLinks->insert( interLink );
4097 curBndLinks->clear();
4098 std::swap( curBndLinks, newBndLinks );
4102 //================================================================================
4104 * \brief Fix links of continues triangles near curved boundary
4106 //================================================================================
4108 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4110 if ( allLinks.empty() ) return;
4112 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4113 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4115 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4117 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4119 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4120 const QFace* face = linkIt->_qfaces[0];
4121 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4122 face->_sides[1]->MiddlePnt() +
4123 face->_sides[2]->MiddlePnt() ) / 3.;
4124 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4125 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4126 //if ( face->IsSpoiled( linkIt->_qlink ))
4127 if ( linkBentInside )
4128 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4133 //================================================================================
4135 * \brief Detect rectangular structure of links and build chains from them
4137 //================================================================================
4139 enum TSplitTriaResult {
4140 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4141 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4143 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4144 vector< TChain> & resultChains,
4145 SMDS_TypeOfPosition pos )
4147 // put links in the set and evalute number of result chains by number of boundary links
4150 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4151 linkSet.insert( *lnk );
4152 nbBndLinks += lnk->IsBoundary();
4154 resultChains.clear();
4155 resultChains.reserve( nbBndLinks / 2 );
4157 TLinkInSet linkIt, linksEnd = linkSet.end();
4159 // find a boundary link with corner node; corner node has position pos-2
4160 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4162 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4163 const SMDS_MeshNode* corner = 0;
4164 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4165 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4170 TLinkInSet startLink = linkIt;
4171 const SMDS_MeshNode* startCorner = corner;
4172 vector< TChain* > rowChains;
4175 while ( startLink != linksEnd) // loop on columns
4177 // We suppose we have a rectangular structure like shown here. We have found a
4178 // corner of the rectangle (startCorner) and a boundary link sharing
4179 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4180 // --o---o---o structure making several chains at once. One chain (columnChain)
4181 // |\ | /| starts at startLink and continues upward (we look at the structure
4182 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4183 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4184 // --o---o---o encounter.
4186 // / | \ | \ | startCorner
4191 if ( resultChains.size() == nbBndLinks / 2 )
4193 resultChains.push_back( TChain() );
4194 TChain& columnChain = resultChains.back();
4196 TLinkInSet botLink = startLink; // current horizontal link to go up from
4197 corner = startCorner; // current corner the botLink ends at
4199 while ( botLink != linksEnd ) // loop on rows
4201 // add botLink to the columnChain
4202 columnChain.push_back( *botLink );
4204 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4206 { // the column ends
4207 if ( botLink == startLink )
4208 return _TWISTED_CHAIN; // issue 0020951
4209 linkSet.erase( botLink );
4210 if ( iRow != rowChains.size() )
4211 return _FEW_ROWS; // different nb of rows in columns
4214 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4215 // link ending at <corner> (sideLink); there are two cases:
4216 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4217 // since midQuadLink is not at boundary while sideLink is.
4218 // 2) midQuadLink ends at <corner>
4220 TLinkInSet midQuadLink = linksEnd;
4221 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4223 if ( isCase2 ) { // find midQuadLink among links of botTria
4224 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4225 if ( midQuadLink->IsBoundary() )
4226 return _BAD_MIDQUAD;
4228 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4229 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4232 columnChain.push_back( *midQuadLink );
4233 if ( iRow >= rowChains.size() ) {
4235 return _MANY_ROWS; // different nb of rows in columns
4236 if ( resultChains.size() == nbBndLinks / 2 )
4238 resultChains.push_back( TChain() );
4239 rowChains.push_back( & resultChains.back() );
4241 rowChains[iRow]->push_back( *sideLink );
4242 rowChains[iRow]->push_back( *midQuadLink );
4244 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4248 // prepare startCorner and startLink for the next column
4249 startCorner = startLink->NextNode( startCorner );
4251 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4253 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4254 // check if no more columns remains
4255 if ( startLink != linksEnd ) {
4256 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4257 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4258 startLink = linksEnd; // startLink bounds upTria or botTria
4259 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4263 // find bottom link and corner for the next row
4264 corner = sideLink->NextNode( corner );
4265 // next bottom link ends at the new corner
4266 linkSet.erase( botLink );
4267 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4268 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4270 if ( midQuadLink == startLink || sideLink == startLink )
4271 return _TWISTED_CHAIN; // issue 0020951
4272 linkSet.erase( midQuadLink );
4273 linkSet.erase( sideLink );
4275 // make faces neighboring the found ones be boundary
4276 if ( startLink != linksEnd ) {
4277 const QFace* tria = isCase2 ? botTria : upTria;
4278 for ( int iL = 0; iL < 3; ++iL ) {
4279 linkIt = linkSet.find( tria->_sides[iL] );
4280 if ( linkIt != linksEnd )
4281 linkIt->RemoveFace( tria );
4284 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4285 botLink->RemoveFace( upTria ); // make next botTria first in vector
4292 // In the linkSet, there must remain the last links of rowChains; add them
4293 if ( linkSet.size() != rowChains.size() )
4294 return _BAD_SET_SIZE;
4295 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
4296 // find the link (startLink) ending at startCorner
4298 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4299 if ( (*startLink)->node1() == startCorner ) {
4300 corner = (*startLink)->node2(); break;
4302 else if ( (*startLink)->node2() == startCorner) {
4303 corner = (*startLink)->node1(); break;
4306 if ( startLink == linksEnd )
4308 rowChains[ iRow ]->push_back( *startLink );
4309 linkSet.erase( startLink );
4310 startCorner = corner;
4316 //================================================================================
4318 * \brief Place medium nodes at the link middle for elements whose corner nodes
4319 * are out of geometrical boundary to prevent distorting elements.
4320 * Issue 0020982, note 0013990
4322 //================================================================================
4324 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4325 SMESH_ComputeErrorPtr& theError)
4327 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4328 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4329 if ( shape.IsNull() ) return;
4331 if ( !theError ) theError = SMESH_ComputeError::New();
4335 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4337 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4339 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4340 if ( !faceSM ) return;
4342 const TopoDS_Face& face = TopoDS::Face( shape );
4343 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4345 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4346 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4348 // check if the EDGE needs checking
4349 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4350 if ( SMESH_Algo::isDegenerated( edge ) )
4352 if ( theHelper.IsRealSeam( edge ) &&
4353 edge.Orientation() == TopAbs_REVERSED )
4356 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4357 if ( !edgeSM ) continue;
4360 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4361 BRepAdaptor_Curve curve3D( edge );
4362 switch ( curve3D.GetType() ) {
4363 case GeomAbs_Line: continue;
4364 case GeomAbs_Circle:
4365 case GeomAbs_Ellipse:
4366 case GeomAbs_Hyperbola:
4367 case GeomAbs_Parabola:
4370 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4371 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4372 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4373 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4374 gp_Vec fNorm = Du1 ^ Dv1;
4375 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4376 continue; // face is normal to the curve3D
4378 gp_Vec curvNorm = fNorm ^ D1;
4379 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4380 if ( curvNorm * D2 > 0 )
4381 continue; // convex edge
4383 catch ( Standard_Failure )
4388 // get nodes shared by faces that may be distorted
4389 SMDS_NodeIteratorPtr nodeIt;
4390 if ( edgeSM->NbNodes() > 0 ) {
4391 nodeIt = edgeSM->GetNodes();
4394 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4396 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4397 if ( !vertexSM ) continue;
4398 nodeIt = vertexSM->GetNodes();
4401 // find suspicious faces
4402 TIDSortedElemSet checkedFaces;
4403 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4404 const SMDS_MeshNode* nOnFace;
4405 while ( nodeIt->more() )
4407 const SMDS_MeshNode* n = nodeIt->next();
4408 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4409 while ( faceIt->more() )
4411 const SMDS_MeshElement* f = faceIt->next();
4412 if ( !faceSM->Contains( f ) ||
4413 f->NbNodes() < 6 || // check quadratic triangles only
4414 !checkedFaces.insert( f ).second )
4417 // get nodes on EDGE and on FACE of a suspicious face
4418 nOnEdge.clear(); nOnFace = 0;
4419 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4420 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4423 if ( n->GetPosition()->GetDim() == 2 )
4426 nOnEdge.push_back( n );
4429 // check if nOnFace is inside the FACE
4430 if ( nOnFace && nOnEdge.size() == 2 )
4432 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4433 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4435 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4436 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4437 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4438 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4439 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4440 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4441 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4442 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4443 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4445 // nOnFace is out of FACE, move a medium on-edge node to the middle
4446 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4447 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4448 MSG( "move OUT of face " << n );
4449 theError->myBadElements.push_back( f );
4455 if ( !theError->myBadElements.empty() )
4456 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4459 } // 2D ==============================================================================
4461 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4463 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4464 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4466 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4467 if ( !solidSM ) return;
4469 // check if the SOLID is bound by concave FACEs
4470 vector< TopoDS_Face > concaveFaces;
4471 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4472 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4474 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4475 if ( !meshDS->MeshElements( face )) continue;
4477 BRepAdaptor_Surface surface( face );
4478 switch ( surface.GetType() ) {
4479 case GeomAbs_Plane: continue;
4480 case GeomAbs_Cylinder:
4482 case GeomAbs_Sphere:
4485 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4486 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4487 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4488 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4489 gp_Vec fNorm = Du1 ^ Dv1;
4490 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4491 bool concaveU = ( fNorm * Du2 > 1e-100 );
4492 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4493 if ( concaveU || concaveV )
4494 concaveFaces.push_back( face );
4496 catch ( Standard_Failure )
4498 concaveFaces.push_back( face );
4502 if ( concaveFaces.empty() )
4505 // fix 2D mesh on the SOLID
4506 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4508 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4509 faceHelper.SetSubShape( faceIt.Current() );
4510 force3DOutOfBoundary( faceHelper, theError );
4513 // get an iterator over faces on concaveFaces
4514 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4515 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4516 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4517 typedef SMDS_IteratorOnIterators
4518 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4519 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4521 // a seacher to check if a volume is close to a concave face
4522 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4523 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4526 //BRepClass3d_SolidClassifier solidClassifier( shape );
4528 TIDSortedElemSet checkedVols, movedNodes;
4529 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4530 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4532 //const TopoDS_Shape& face = faceIt.Current();
4533 const TopoDS_Shape& face = concaveFaces[ iF ];
4534 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4535 if ( !faceSM ) continue;
4537 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4538 SMDS_NodeIteratorPtr nodeIt;
4539 if ( faceSM->NbNodes() > 0 ) {
4540 nodeIt = faceSM->GetNodes();
4543 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4544 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4545 if ( !vertexSM ) continue;
4546 nodeIt = vertexSM->GetNodes();
4548 // get ids of sub-shapes of the FACE
4550 SMESH_subMeshIteratorPtr smIt =
4551 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4552 while ( smIt->more() )
4553 subIDs.insert( smIt->next()->GetId() );
4555 // find suspicious volumes adjacent to the FACE
4556 vector< const SMDS_MeshNode* > nOnFace( 4 );
4557 const SMDS_MeshNode* nInSolid;
4558 while ( nodeIt->more() )
4560 const SMDS_MeshNode* n = nodeIt->next();
4561 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4562 while ( volIt->more() )
4564 const SMDS_MeshElement* vol = volIt->next();
4565 int nbN = vol->NbCornerNodes();
4566 if ( ( nbN != 4 && nbN != 5 ) ||
4567 !solidSM->Contains( vol ) ||
4568 !checkedVols.insert( vol ).second )
4571 // get nodes on FACE and in SOLID of a suspicious volume
4572 nOnFace.clear(); nInSolid = 0;
4573 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4574 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4577 if ( n->GetPosition()->GetDim() == 3 )
4579 else if ( subIDs.count( n->getshapeId() ))
4580 nOnFace.push_back( n );
4584 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4587 // get size of the vol
4588 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4589 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4590 for ( size_t i = 1; i < nOnFace.size(); ++i )
4592 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4595 // check if vol is close to concaveFaces
4596 const SMDS_MeshElement* closeFace =
4597 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4599 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4602 // check if vol is distorted, i.e. a medium node is much closer
4603 // to nInSolid than the link middle
4604 bool isDistorted = false;
4605 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4606 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4608 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4609 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4610 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4611 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4613 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4614 TLinkNodeMap::const_iterator linkIt =
4615 theHelper.GetTLinkNodeMap().find( link );
4616 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4618 links.push_back( make_pair( linkIt->first, linkIt->second ));
4619 if ( !isDistorted ) {
4620 // compare projections of nInSolid and nMedium to face normal
4621 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4622 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4623 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4624 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4628 // move medium nodes to link middle
4631 for ( size_t i = 0; i < links.size(); ++i )
4633 const SMDS_MeshNode* nMedium = links[i].second;
4634 if ( movedNodes.insert( nMedium ).second )
4636 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4637 SMESH_TNodeXYZ( links[i].first.node2() ));
4638 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4639 MSG( "move OUT of solid " << nMedium );
4642 theError->myBadElements.push_back( vol );
4644 } // loop on volumes sharing a node on FACE
4645 } // loop on nodes on FACE
4646 } // loop on FACEs of a SOLID
4648 if ( !theError->myBadElements.empty() )
4649 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4655 //=======================================================================
4657 * \brief Move medium nodes of faces and volumes to fix distorted elements
4658 * \param error - container of fixed distorted elements
4659 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4661 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4663 //=======================================================================
4665 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4668 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4669 if ( getenv("NO_FixQuadraticElements") )
4672 // 0. Apply algorithm to SOLIDs or FACEs
4673 // ----------------------------------------------
4674 if ( myShape.IsNull() ) {
4675 if ( !myMesh->HasShapeToMesh() ) return;
4676 SetSubShape( myMesh->GetShapeToMesh() );
4680 TopTools_IndexedMapOfShape solids;
4681 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4682 nbSolids = solids.Extent();
4684 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4685 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4686 faces.Add( f.Current() ); // not in solid
4688 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4689 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4690 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4691 faces.Add( f.Current() ); // in not meshed solid
4693 else { // fix nodes in the solid and its faces
4695 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4697 SMESH_MesherHelper h(*myMesh);
4698 h.SetSubShape( s.Current() );
4699 h.ToFixNodeParameters(true);
4700 h.FixQuadraticElements( compError, false );
4703 // fix nodes on geom faces
4705 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4707 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4708 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4709 SMESH_MesherHelper h(*myMesh);
4710 h.SetSubShape( fIt.Key() );
4711 h.ToFixNodeParameters(true);
4712 h.FixQuadraticElements( compError, true);
4714 //perf_print_all_meters(1);
4715 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4716 compError->myComment = "during conversion to quadratic, "
4717 "some medium nodes were not placed on geometry to avoid distorting elements";
4721 // 1. Find out type of elements and get iterator on them
4722 // ---------------------------------------------------
4724 SMDS_ElemIteratorPtr elemIt;
4725 SMDSAbs_ElementType elemType = SMDSAbs_All;
4727 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4730 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4731 elemIt = smDS->GetElements();
4732 if ( elemIt->more() ) {
4733 elemType = elemIt->next()->GetType();
4734 elemIt = smDS->GetElements();
4737 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4740 // 2. Fill in auxiliary data structures
4741 // ----------------------------------
4745 set< QLink >::iterator pLink;
4746 set< QFace >::iterator pFace;
4748 bool isCurved = false;
4749 //bool hasRectFaces = false;
4750 //set<int> nbElemNodeSet;
4751 SMDS_VolumeTool volTool;
4753 TIDSortedNodeSet apexOfPyramid;
4754 const int apexIndex = 4;
4757 // Move medium nodes to the link middle for elements whose corner nodes
4758 // are out of geometrical boundary to fix distorted elements.
4759 force3DOutOfBoundary( *this, compError );
4761 if ( elemType == SMDSAbs_Volume )
4763 while ( elemIt->more() ) // loop on volumes
4765 const SMDS_MeshElement* vol = elemIt->next();
4766 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4768 double volMinSize2 = -1.;
4769 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4771 int nbN = volTool.NbFaceNodes( iF );
4772 //nbElemNodeSet.insert( nbN );
4773 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4774 vector< const QLink* > faceLinks( nbN/2 );
4775 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4778 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4779 pLink = links.insert( link ).first;
4780 faceLinks[ iN/2 ] = & *pLink;
4782 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4784 if ( !link.IsStraight() )
4785 return; // already fixed
4787 else if ( !isCurved )
4789 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4790 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4794 pFace = faces.insert( QFace( faceLinks )).first;
4795 if ( pFace->NbVolumes() == 0 )
4796 pFace->AddSelfToLinks();
4797 pFace->SetVolume( vol );
4798 // hasRectFaces = hasRectFaces ||
4799 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4800 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4803 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4805 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4806 faceNodes[4],faceNodes[6] );
4809 // collect pyramid apexes for further correction
4810 if ( vol->NbCornerNodes() == 5 )
4811 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4813 set< QLink >::iterator pLink = links.begin();
4814 for ( ; pLink != links.end(); ++pLink )
4815 pLink->SetContinuesFaces();
4819 while ( elemIt->more() ) // loop on faces
4821 const SMDS_MeshElement* face = elemIt->next();
4822 if ( !face->IsQuadratic() )
4824 //nbElemNodeSet.insert( face->NbNodes() );
4825 int nbN = face->NbNodes()/2;
4826 vector< const QLink* > faceLinks( nbN );
4827 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4830 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4831 pLink = links.insert( link ).first;
4832 faceLinks[ iN ] = & *pLink;
4834 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4835 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4836 isCurved = !link.IsStraight();
4839 pFace = faces.insert( QFace( faceLinks )).first;
4840 pFace->AddSelfToLinks();
4841 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4845 return; // no curved edges of faces
4847 // 3. Compute displacement of medium nodes
4848 // ---------------------------------------
4850 SMESH_MesherHelper faceHlp(*myMesh);
4852 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4853 TopLoc_Location loc;
4855 // not to treat boundary of volumic sub-mesh.
4856 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4857 for ( ; isInside < 2; ++isInside )
4859 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4860 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4861 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4863 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4864 if ( bool(isInside) == pFace->IsBoundary() )
4866 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4869 // make chain of links connected via continues faces
4872 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4874 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4876 vector< TChain > chains;
4877 if ( error == ERR_OK ) { // chain contains continues rectangles
4879 chains[0].splice( chains[0].begin(), rawChain );
4881 else if ( error == ERR_TRI ) { // chain contains continues triangles
4882 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4883 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4884 fixTriaNearBoundary( rawChain, *this );
4888 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4889 fixPrism( rawChain );
4895 for ( int iC = 0; iC < chains.size(); ++iC )
4897 TChain& chain = chains[iC];
4898 if ( chain.empty() ) continue;
4899 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4900 MSG("3D straight - ignore");
4903 if ( chain.front()->MediumPos() > bndPos ||
4904 chain.back() ->MediumPos() > bndPos ) {
4905 MSG("Internal chain - ignore");
4908 // mesure chain length and compute link position along the chain
4909 double chainLen = 0;
4910 vector< double > linkPos;
4911 TChain savedChain; // backup
4912 MSGBEG( "Link medium nodes: ");
4913 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4914 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4915 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4916 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4917 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4918 if ( savedChain.empty() ) savedChain = chain;
4919 link1 = chain.erase( link1 );
4920 if ( link1 == chain.end() )
4922 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4925 linkPos.push_back( chainLen );
4928 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
4933 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
4935 linkPos.push_back( chainLen );
4938 gp_Vec move0 = chain.front()->_nodeMove;
4939 gp_Vec move1 = chain.back ()->_nodeMove;
4944 // compute node displacement of end links of chain in parametric space of FACE
4945 TChainLink& linkOnFace = *(++chain.begin());
4946 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4947 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4948 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4950 face = TopoDS::Face( f );
4951 faceHlp.SetSubShape( face );
4952 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4954 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4956 TChainLink& link = is1 ? chain.back() : chain.front();
4957 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
4958 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
4959 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
4960 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4961 // uvMove = uvm - uv12
4962 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4963 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4964 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4965 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4966 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4967 10 * uvMove.SquareModulus());
4969 if ( isStraight[0] && isStraight[1] ) {
4970 MSG("2D straight - ignore");
4971 continue; // straight - no need to move nodes of internal links
4974 // check if a chain is already fixed
4975 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
4976 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
4977 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
4978 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4979 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4981 MSG("Already fixed - ignore");
4987 if ( isInside || face.IsNull() )
4989 // compute node displacement of end links in their local coord systems
4991 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4992 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4993 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4994 move0.Transform(trsf);
4997 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
4998 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
4999 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5000 move1.Transform(trsf);
5003 // compute displacement of medium nodes
5004 link2 = chain.begin();
5007 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5009 double r = linkPos[i] / chainLen;
5010 // displacement in local coord system
5011 gp_Vec move = (1. - r) * move0 + r * move1;
5012 if ( isInside || face.IsNull()) {
5013 // transform to global
5014 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5015 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5017 gp_Vec x = x01.Normalized() + x12.Normalized();
5018 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5019 } catch ( Standard_Failure ) {
5022 move.Transform(trsf);
5023 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5026 // compute 3D displacement by 2D one
5027 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5028 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5029 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5030 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5031 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5032 if ( SMDS_FacePosition* nPos =
5033 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5034 nPos->SetParameters( newUV.X(), newUV.Y() );
5036 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5037 move.SquareMagnitude())
5039 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5040 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5041 MSG( "TOO LONG MOVE \t" <<
5042 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5043 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5044 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5045 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5048 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5050 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5051 << chain.front()->_mediumNode->GetID() <<"-"
5052 << chain.back ()->_mediumNode->GetID() <<
5053 " by " << move.Magnitude());
5055 } // loop on chains of links
5056 } // loop on 2 directions of propagation from quadrangle
5058 } // fix faces and/or volumes
5063 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5064 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5065 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5066 myMesh->NbBiQuadTriangles() +
5067 myMesh->NbTriQuadraticHexas() );
5069 faceHlp.ToFixNodeParameters( true );
5071 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5072 if ( pLink->IsMoved() )
5074 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5076 // put on surface nodes on FACE but moved in 3D (23050)
5077 if ( !pLink->IsFixedOnSurface() )
5079 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5080 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5082 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5083 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5084 gp_XY uv( Precision::Infinite(), 0 );
5085 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5086 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5087 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5090 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5092 // collect bi-quadratic elements
5093 if ( toFixCentralNodes )
5095 biQuadQua = triQuadHex = 0;
5096 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5097 while ( eIt->more() )
5099 const SMDS_MeshElement* e = eIt->next();
5100 switch( e->GetEntityType() ) {
5101 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5102 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5103 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5110 // Fix positions of central nodes of bi-tri-quadratic elements
5112 // treat bi-quad quadrangles
5114 vector< const SMDS_MeshNode* > nodes( 9 );
5116 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5117 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5119 const SMDS_MeshElement* quad = *quadIt;
5122 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5124 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5125 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5126 const TopoDS_Face& F = TopoDS::Face( S );
5127 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5128 const double tol = BRep_Tool::Tolerance( F );
5130 for ( int i = 0; i < 8; ++i )
5132 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5133 // as this method is used after mesh generation, UV of nodes is not
5134 // updated according to bending links, so we update
5135 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5136 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5138 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5139 // move the central node
5140 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5141 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5142 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5146 // treat bi-quad triangles
5148 vector< const SMDS_MeshNode* > nodes;
5150 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5151 for ( ; triIt != biQuadTris.end(); ++triIt )
5153 const SMDS_MeshElement* tria = *triIt;
5155 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5156 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5157 const TopoDS_Face& F = TopoDS::Face( S );
5158 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5159 const double tol = BRep_Tool::Tolerance( F );
5162 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5164 bool uvOK = true, badTria = false;
5165 for ( int i = 0; i < 6; ++i )
5167 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5168 // as this method is used after mesh generation, UV of nodes is not
5169 // updated according to bending links, so we update
5170 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5171 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5174 // move the central node
5176 if ( !uvOK || badTria )
5178 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5179 SMESH_TNodeXYZ( nodes[4] ) +
5180 SMESH_TNodeXYZ( nodes[5] )) / 3;
5184 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5185 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5186 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5188 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5192 // treat tri-quadratic hexahedra
5194 SMDS_VolumeTool volExp;
5195 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5196 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5198 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5200 // fix nodes central in sides
5201 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5203 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5204 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5206 gp_XYZ p = calcTFI( 0.5, 0.5,
5207 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5208 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5209 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5210 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5211 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5215 // fix the volume central node
5216 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5217 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5219 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5220 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5221 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5222 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5223 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5224 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5225 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5226 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5228 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5229 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5230 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5231 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5232 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5233 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5234 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5235 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5236 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5237 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5238 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5239 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5241 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5242 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5243 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5244 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5245 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5246 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5248 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5249 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5250 GetMeshDS()->MoveNode( hexNodes[26],
5251 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());