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)
2002 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2004 elem = meshDS->AddPolygonalFace(nodes);
2008 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2010 for ( int i = 0; i < nodes.size(); ++i )
2012 const SMDS_MeshNode* n1 = nodes[i];
2013 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2014 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2015 newNodes.push_back( n12 );
2018 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2020 elem = meshDS->AddQuadPolygonalFace(newNodes);
2022 if ( mySetElemOnShape && myShapeID > 0 )
2023 meshDS->SetMeshElementOnShape( elem, myShapeID );
2028 //=======================================================================
2029 //function : AddVolume
2030 //purpose : Creates quadratic or linear prism
2031 //=======================================================================
2033 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2034 const SMDS_MeshNode* n2,
2035 const SMDS_MeshNode* n3,
2036 const SMDS_MeshNode* n4,
2037 const SMDS_MeshNode* n5,
2038 const SMDS_MeshNode* n6,
2042 SMESHDS_Mesh * meshDS = GetMeshDS();
2043 SMDS_MeshVolume* elem = 0;
2044 if(!myCreateQuadratic) {
2046 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2048 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2051 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2052 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2053 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2055 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2056 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2057 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2059 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2060 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2061 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2064 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2065 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2067 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2068 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2070 if ( mySetElemOnShape && myShapeID > 0 )
2071 meshDS->SetMeshElementOnShape( elem, myShapeID );
2076 //=======================================================================
2077 //function : AddVolume
2078 //purpose : Creates quadratic or linear tetrahedron
2079 //=======================================================================
2081 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2082 const SMDS_MeshNode* n2,
2083 const SMDS_MeshNode* n3,
2084 const SMDS_MeshNode* n4,
2088 SMESHDS_Mesh * meshDS = GetMeshDS();
2089 SMDS_MeshVolume* elem = 0;
2090 if(!myCreateQuadratic) {
2092 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2094 elem = meshDS->AddVolume(n1, n2, n3, n4);
2097 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2098 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2099 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2101 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2102 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2103 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2106 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2108 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2110 if ( mySetElemOnShape && myShapeID > 0 )
2111 meshDS->SetMeshElementOnShape( elem, myShapeID );
2116 //=======================================================================
2117 //function : AddVolume
2118 //purpose : Creates quadratic or linear pyramid
2119 //=======================================================================
2121 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2122 const SMDS_MeshNode* n2,
2123 const SMDS_MeshNode* n3,
2124 const SMDS_MeshNode* n4,
2125 const SMDS_MeshNode* n5,
2129 SMDS_MeshVolume* elem = 0;
2130 if(!myCreateQuadratic) {
2132 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2134 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2137 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2138 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2139 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2140 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2142 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2143 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2144 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2145 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2148 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2153 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2155 n15, n25, n35, n45);
2157 if ( mySetElemOnShape && myShapeID > 0 )
2158 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2163 //=======================================================================
2164 //function : AddVolume
2165 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2166 //=======================================================================
2168 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2169 const SMDS_MeshNode* n2,
2170 const SMDS_MeshNode* n3,
2171 const SMDS_MeshNode* n4,
2172 const SMDS_MeshNode* n5,
2173 const SMDS_MeshNode* n6,
2174 const SMDS_MeshNode* n7,
2175 const SMDS_MeshNode* n8,
2179 SMESHDS_Mesh * meshDS = GetMeshDS();
2180 SMDS_MeshVolume* elem = 0;
2181 if(!myCreateQuadratic) {
2183 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2185 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2188 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2189 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2190 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2191 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2193 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2194 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2195 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2196 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2198 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2199 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2200 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2201 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2202 if ( myCreateBiQuadratic )
2204 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2205 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2206 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2207 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2208 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2209 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2211 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2213 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2214 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2215 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2216 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2217 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2218 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2219 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2220 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2222 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2223 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2224 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2225 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2226 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2227 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2228 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2229 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2230 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2231 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2232 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2233 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2235 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2236 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2237 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2238 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2239 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2240 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2242 gp_XYZ centerCube(0.5, 0.5, 0.5);
2244 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2245 const SMDS_MeshNode* nCenter =
2246 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2247 meshDS->SetNodeInVolume( nCenter, myShapeID );
2250 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2251 n12, n23, n34, n41, n56, n67,
2252 n78, n85, n15, n26, n37, n48,
2253 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2255 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2256 n12, n23, n34, n41, n56, n67,
2257 n78, n85, n15, n26, n37, n48,
2258 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2263 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2264 n12, n23, n34, n41, n56, n67,
2265 n78, n85, n15, n26, n37, n48, id);
2267 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2268 n12, n23, n34, n41, n56, n67,
2269 n78, n85, n15, n26, n37, n48);
2272 if ( mySetElemOnShape && myShapeID > 0 )
2273 meshDS->SetMeshElementOnShape( elem, myShapeID );
2278 //=======================================================================
2279 //function : AddVolume
2280 //purpose : Creates LINEAR!!!!!!!!! octahedron
2281 //=======================================================================
2283 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2284 const SMDS_MeshNode* n2,
2285 const SMDS_MeshNode* n3,
2286 const SMDS_MeshNode* n4,
2287 const SMDS_MeshNode* n5,
2288 const SMDS_MeshNode* n6,
2289 const SMDS_MeshNode* n7,
2290 const SMDS_MeshNode* n8,
2291 const SMDS_MeshNode* n9,
2292 const SMDS_MeshNode* n10,
2293 const SMDS_MeshNode* n11,
2294 const SMDS_MeshNode* n12,
2298 SMESHDS_Mesh * meshDS = GetMeshDS();
2299 SMDS_MeshVolume* elem = 0;
2301 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2303 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2304 if ( mySetElemOnShape && myShapeID > 0 )
2305 meshDS->SetMeshElementOnShape( elem, myShapeID );
2309 //=======================================================================
2310 //function : AddPolyhedralVolume
2311 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2312 //=======================================================================
2315 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2316 const std::vector<int>& quantities,
2320 SMESHDS_Mesh * meshDS = GetMeshDS();
2321 SMDS_MeshVolume* elem = 0;
2322 if(!myCreateQuadratic)
2325 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2327 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2331 vector<const SMDS_MeshNode*> newNodes;
2332 vector<int> newQuantities;
2333 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2335 int nbNodesInFace = quantities[iFace];
2336 newQuantities.push_back(0);
2337 for ( int i = 0; i < nbNodesInFace; ++i )
2339 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2340 newNodes.push_back( n1 );
2341 newQuantities.back()++;
2343 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2344 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2345 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2347 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2348 newNodes.push_back( n12 );
2349 newQuantities.back()++;
2352 iN += nbNodesInFace;
2355 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2357 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2359 if ( mySetElemOnShape && myShapeID > 0 )
2360 meshDS->SetMeshElementOnShape( elem, myShapeID );
2367 //================================================================================
2369 * \brief Check if a node belongs to any face of sub-mesh
2371 //================================================================================
2373 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2375 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2376 while ( fIt->more() )
2377 if ( sm->Contains( fIt->next() ))
2383 //=======================================================================
2384 //function : IsSameElemGeometry
2385 //purpose : Returns true if all elements of a sub-mesh are of same shape
2386 //=======================================================================
2388 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2389 SMDSAbs_GeometryType shape,
2390 const bool nullSubMeshRes)
2392 if ( !smDS ) return nullSubMeshRes;
2394 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2395 while ( elemIt->more() ) {
2396 const SMDS_MeshElement* e = elemIt->next();
2397 if ( e->GetGeomType() != shape )
2403 //=======================================================================
2404 //function : LoadNodeColumns
2405 //purpose : Load nodes bound to face into a map of node columns
2406 //=======================================================================
2408 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2409 const TopoDS_Face& theFace,
2410 const TopoDS_Edge& theBaseEdge,
2411 SMESHDS_Mesh* theMesh,
2412 SMESH_ProxyMesh* theProxyMesh)
2414 return LoadNodeColumns(theParam2ColumnMap,
2416 std::list<TopoDS_Edge>(1,theBaseEdge),
2421 //=======================================================================
2422 //function : LoadNodeColumns
2423 //purpose : Load nodes bound to face into a map of node columns
2424 //=======================================================================
2426 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2427 const TopoDS_Face& theFace,
2428 const std::list<TopoDS_Edge>& theBaseSide,
2429 SMESHDS_Mesh* theMesh,
2430 SMESH_ProxyMesh* theProxyMesh)
2432 // get a right sub-mesh of theFace
2434 const SMESHDS_SubMesh* faceSubMesh = 0;
2437 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2438 if ( !faceSubMesh ||
2439 faceSubMesh->NbElements() == 0 ||
2440 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2442 // can use a proxy sub-mesh with not temporary elements only
2448 faceSubMesh = theMesh->MeshElements( theFace );
2449 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2452 if ( theParam2ColumnMap.empty() )
2454 // get data of edges for normalization of params
2455 vector< double > length;
2457 list<TopoDS_Edge>::const_iterator edge;
2459 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2461 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2463 length.push_back( len );
2467 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2468 edge = theBaseSide.begin();
2469 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2471 map< double, const SMDS_MeshNode*> sortedBaseNN;
2472 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2474 map< double, const SMDS_MeshNode*>::iterator u_n;
2475 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2476 // so the following solution is commented (hope forever :)
2478 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2479 // // SMDSAbs_Edge here is needed to be coherent with
2480 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2481 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2482 // // medium node on EDGE is medium in a triangle but not
2485 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2486 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2487 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2489 // const SMDS_MeshNode* node = u_n->second;
2490 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2491 // if ( faceIt->more() && node ) {
2492 // const SMDS_MeshElement* face = faceIt->next();
2493 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2497 // sortedBaseNN.erase( u_n++ );
2501 if ( sortedBaseNN.empty() ) continue;
2503 u_n = sortedBaseNN.begin();
2504 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2506 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2507 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2508 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2509 n2 != theProxyMesh->GetProxyNode( n2 ));
2510 if ( allNodesAreProxy )
2511 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2512 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2514 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2516 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2517 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2519 if ( !sortedBaseNN.empty() )
2520 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2522 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2523 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2525 if ( sortedBaseNN.empty() ) continue;
2529 BRep_Tool::Range( *edge, f, l );
2530 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2531 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2532 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2533 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2535 double par = prevPar + coeff * ( u_n->first - f );
2536 TParam2ColumnMap::iterator u2nn =
2537 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2538 u2nn->second.push_back( u_n->second );
2541 if ( theParam2ColumnMap.size() < 2 )
2546 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2547 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2549 // fill theParam2ColumnMap column by column by passing from nodes on
2550 // theBaseEdge up via mesh faces on theFace
2552 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2553 par_nVec_2 = theParam2ColumnMap.begin();
2554 par_nVec_1 = par_nVec_2++;
2555 TIDSortedElemSet emptySet, avoidSet;
2556 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2558 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2559 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2560 nCol1.resize( prevNbRows + expectedNbRows );
2561 nCol2.resize( prevNbRows + expectedNbRows );
2563 int i1, i2, foundNbRows = 0;
2564 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2565 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2566 // find face sharing node n1 and n2 and belonging to faceSubMesh
2567 while ( const SMDS_MeshElement* face =
2568 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2570 if ( faceSubMesh->Contains( face ))
2572 int nbNodes = face->NbCornerNodes();
2575 if ( foundNbRows + 1 > expectedNbRows )
2577 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2578 n2 = face->GetNode( (i1+2) % 4 );
2579 nCol1[ prevNbRows + foundNbRows] = n1;
2580 nCol2[ prevNbRows + foundNbRows] = n2;
2583 avoidSet.insert( face );
2585 if ( foundNbRows != expectedNbRows )
2589 return ( theParam2ColumnMap.size() > 1 &&
2590 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2595 //================================================================================
2597 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2599 //================================================================================
2601 bool isCornerOfStructure( const SMDS_MeshNode* n,
2602 const SMESHDS_SubMesh* faceSM,
2603 SMESH_MesherHelper& faceAnalyser )
2605 int nbFacesInSM = 0;
2607 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2608 while ( fIt->more() )
2609 nbFacesInSM += faceSM->Contains( fIt->next() );
2611 if ( nbFacesInSM == 1 )
2614 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2616 return faceAnalyser.IsRealSeam( n->getshapeId() );
2622 //=======================================================================
2623 //function : IsStructured
2624 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2625 //=======================================================================
2627 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2629 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2630 if ( !fSM || fSM->NbElements() == 0 )
2633 list< TopoDS_Edge > edges;
2634 list< int > nbEdgesInWires;
2635 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2636 edges, nbEdgesInWires );
2637 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2640 // algo: find corners of a structure and then analyze nb of faces and
2641 // length of structure sides
2643 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2644 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2645 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2647 // rotate edges to get the first node being at corner
2648 // (in principle it's not necessary because so far none SALOME algo can make
2649 // such a structured mesh that all corner nodes are not on VERTEXes)
2650 bool isCorner = false;
2651 int nbRemainEdges = nbEdgesInWires.front();
2653 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2654 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2657 edges.splice( edges.end(), edges, edges.begin() );
2661 while ( !isCorner && nbRemainEdges > 0 );
2666 // get all nodes from EDGEs
2667 list< const SMDS_MeshNode* > nodes;
2668 list< TopoDS_Edge >::iterator edge = edges.begin();
2669 for ( ; edge != edges.end(); ++edge )
2671 map< double, const SMDS_MeshNode* > u2Nodes;
2672 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2673 /*skipMedium=*/true, u2Nodes ))
2676 list< const SMDS_MeshNode* > edgeNodes;
2677 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2678 for ( ; u2n != u2Nodes.end(); ++u2n )
2679 edgeNodes.push_back( u2n->second );
2680 if ( edge->Orientation() == TopAbs_REVERSED )
2681 edgeNodes.reverse();
2683 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2684 edgeNodes.pop_front();
2685 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2688 // get length of structured sides
2689 vector<int> nbEdgesInSide;
2691 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2692 for ( ; n != nodes.end(); ++n )
2695 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2696 nbEdgesInSide.push_back( nbEdges );
2702 if ( nbEdgesInSide.size() != 4 )
2704 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2706 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2708 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2714 //=======================================================================
2715 //function : IsDistorted2D
2716 //purpose : Return true if 2D mesh on FACE is ditorted
2717 //=======================================================================
2719 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2722 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2725 bool haveBadFaces = false;
2727 SMESH_MesherHelper helper( *faceSM->GetFather() );
2728 helper.SetSubShape( faceSM->GetSubShape() );
2730 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2731 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2732 if ( !smDS || smDS->NbElements() == 0 ) return false;
2734 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2735 double prevArea = 0;
2736 vector< const SMDS_MeshNode* > nodes;
2738 bool* toCheckUV = checkUV ? & checkUV : 0;
2739 while ( faceIt->more() && !haveBadFaces )
2741 const SMDS_MeshElement* face = faceIt->next();
2744 nodes.resize( face->NbCornerNodes() );
2745 SMDS_MeshElement::iterator n = face->begin_nodes();
2746 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2749 // avoid elems on degenarate shapes as UV on them can be wrong
2750 if ( helper.HasDegeneratedEdges() )
2752 bool isOnDegen = false;
2753 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2754 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2758 // prepare to getting UVs
2759 const SMDS_MeshNode* inFaceNode = 0;
2760 if ( helper.HasSeam() ) {
2761 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2762 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2763 inFaceNode = nodes[ i ];
2768 uv.resize( nodes.size() );
2769 for ( size_t i = 0; i < nodes.size(); ++i )
2770 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2772 // compare orientation of triangles
2773 double faceArea = 0;
2774 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2776 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2777 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2778 faceArea += v2 ^ v1;
2780 haveBadFaces = ( faceArea * prevArea < 0 );
2781 prevArea = faceArea;
2784 return haveBadFaces;
2787 //================================================================================
2789 * \brief Find out elements orientation on a geometrical face
2790 * \param theFace - The face correctly oriented in the shape being meshed
2791 * \retval bool - true if the face normal and the normal of first element
2792 * in the correspoding submesh point in different directions
2794 //================================================================================
2796 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2798 if ( theFace.IsNull() )
2801 // find out orientation of a meshed face
2802 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2803 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2804 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2806 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2807 if ( !aSubMeshDSFace )
2810 // find an element on a bounday of theFace
2811 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2812 const SMDS_MeshNode* nn[2];
2813 while ( iteratorElem->more() ) // loop on elements on theFace
2815 const SMDS_MeshElement* elem = iteratorElem->next();
2816 if ( ! elem ) continue;
2818 // look for 2 nodes on EDGE
2819 int nbNodes = elem->NbCornerNodes();
2820 nn[0] = elem->GetNode( nbNodes-1 );
2821 for ( int iN = 0; iN < nbNodes; ++iN )
2823 nn[1] = elem->GetNode( iN );
2824 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2825 nn[1]->GetPosition()->GetDim() < 2 )
2827 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2828 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2829 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2830 if ( !E.IsNull() && !s0.IsSame( s1 ))
2834 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2835 if ( E.IsSame( exp.Current() )) {
2837 E = exp.Current(); // to know orientation
2842 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2843 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2846 isReversed = ( u0 > u1 );
2847 if ( E.Orientation() == TopAbs_REVERSED )
2848 isReversed = !isReversed;
2858 // find an element with a good normal
2860 bool normalOK = false;
2862 iteratorElem = aSubMeshDSFace->GetElements();
2863 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2865 const SMDS_MeshElement* elem = iteratorElem->next();
2866 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2870 // get UV of a node inside theFACE
2871 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2872 const SMDS_MeshNode* nInFace = 0;
2873 int iPosDim = SMDS_TOP_VERTEX;
2874 while ( nodesIt->more() ) // loop on nodes
2876 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2877 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2880 iPosDim = n->GetPosition()->GetTypeOfPosition();
2883 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2888 // face normal at node position
2889 TopLoc_Location loc;
2890 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2891 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2892 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2893 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2896 gp_Vec d1u, d1v; gp_Pnt p;
2897 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2898 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2900 if ( theFace.Orientation() == TopAbs_REVERSED )
2903 return Ne * Nf < 0.;
2906 //=======================================================================
2908 //purpose : Count nb of sub-shapes
2909 //=======================================================================
2911 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2912 const TopAbs_ShapeEnum type,
2913 const bool ignoreSame)
2916 TopTools_IndexedMapOfShape map;
2917 TopExp::MapShapes( shape, type, map );
2918 return map.Extent();
2922 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2928 //=======================================================================
2929 //function : NbAncestors
2930 //purpose : Return number of unique ancestors of the shape
2931 //=======================================================================
2933 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2934 const SMESH_Mesh& mesh,
2935 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2937 TopTools_MapOfShape ancestors;
2938 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2939 for ( ; ansIt.More(); ansIt.Next() ) {
2940 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2941 ancestors.Add( ansIt.Value() );
2943 return ancestors.Extent();
2946 //=======================================================================
2947 //function : GetSubShapeOri
2948 //purpose : Return orientation of sub-shape in the main shape
2949 //=======================================================================
2951 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2952 const TopoDS_Shape& subShape)
2954 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2955 if ( !shape.IsNull() && !subShape.IsNull() )
2957 TopExp_Explorer e( shape, subShape.ShapeType() );
2958 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2959 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2960 for ( ; e.More(); e.Next())
2961 if ( subShape.IsSame( e.Current() ))
2964 ori = e.Current().Orientation();
2969 //=======================================================================
2970 //function : IsSubShape
2972 //=======================================================================
2974 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2975 const TopoDS_Shape& mainShape )
2977 if ( !shape.IsNull() && !mainShape.IsNull() )
2979 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2982 if ( shape.IsSame( exp.Current() ))
2985 SCRUTE((shape.IsNull()));
2986 SCRUTE((mainShape.IsNull()));
2990 //=======================================================================
2991 //function : IsSubShape
2993 //=======================================================================
2995 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2997 if ( shape.IsNull() || !aMesh )
3000 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3002 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3005 //=======================================================================
3006 //function : IsBlock
3008 //=======================================================================
3010 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3012 if ( shape.IsNull() )
3016 TopExp_Explorer exp( shape, TopAbs_SHELL );
3017 if ( !exp.More() ) return false;
3018 shell = TopoDS::Shell( exp.Current() );
3019 if ( exp.Next(), exp.More() ) return false;
3022 TopTools_IndexedMapOfOrientedShape map;
3023 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3027 //================================================================================
3029 * \brief Return maximal tolerance of shape
3031 //================================================================================
3033 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3035 double tol = Precision::Confusion();
3036 TopExp_Explorer exp;
3037 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3038 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3039 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3040 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3041 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3042 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3047 //================================================================================
3049 * \brief Return MaxTolerance( face ), probably cached
3051 //================================================================================
3053 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3055 int faceID = GetMeshDS()->ShapeToIndex( face );
3057 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3058 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3060 tol = MaxTolerance( face );
3065 //================================================================================
3067 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3068 * of the FACE normal
3069 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3070 * 1e100 in case of failure
3071 * \waring Care about order of the EDGEs and their orientation to be as they are
3072 * within the FACE! Don't pass degenerated EDGEs neither!
3074 //================================================================================
3076 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3077 const TopoDS_Edge & theE2,
3078 const TopoDS_Face & theFace,
3079 const TopoDS_Vertex & theCommonV,
3080 gp_Vec* theFaceNormal)
3082 double angle = 1e100;
3086 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3087 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3088 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3089 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3090 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3091 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3092 if ( c1.IsNull() || c2.IsNull() )
3094 gp_XY uv = c2d1->Value( p1 ).XY();
3095 gp_Vec du, dv; gp_Pnt p;
3096 surf->D1( uv.X(), uv.Y(), p, du, dv );
3097 gp_Vec vec1, vec2, vecRef = du ^ dv;
3100 while ( vecRef.SquareMagnitude() < 1e-25 )
3102 double dp = ( l - f ) / 1000.;
3103 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3104 uv = c2d1->Value( p1tmp ).XY();
3105 surf->D1( uv.X(), uv.Y(), p, du, dv );
3107 if ( ++nbLoops > 10 )
3110 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3115 if ( theFace.Orientation() == TopAbs_REVERSED )
3117 if ( theFaceNormal ) *theFaceNormal = vecRef;
3119 c1->D1( p1, p, vec1 );
3120 c2->D1( p2, p, vec2 );
3121 // TopoDS_Face F = theFace;
3122 // if ( F.Orientation() == TopAbs_INTERNAL )
3123 // F.Orientation( TopAbs_FORWARD );
3124 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3126 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3128 angle = vec1.AngleWithRef( vec2, vecRef );
3130 if ( Abs ( angle ) >= 0.99 * M_PI )
3132 BRep_Tool::Range( theE1, f, l );
3133 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3134 c1->D1( p1, p, vec1 );
3135 if ( theE1.Orientation() == TopAbs_REVERSED )
3137 BRep_Tool::Range( theE2, f, l );
3138 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3139 c2->D1( p2, p, vec2 );
3140 if ( theE2.Orientation() == TopAbs_REVERSED )
3142 angle = vec1.AngleWithRef( vec2, vecRef );
3151 //================================================================================
3153 * \brief Check if the first and last vertices of an edge are the same
3154 * \param anEdge - the edge to check
3155 * \retval bool - true if same
3157 //================================================================================
3159 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3161 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3162 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3163 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3166 //================================================================================
3168 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3169 * in the case of INTERNAL edge
3171 //================================================================================
3173 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3177 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3178 anEdge.Orientation( TopAbs_FORWARD );
3180 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3181 TopoDS_Iterator vIt( anEdge, CumOri );
3182 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3185 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3188 //================================================================================
3190 * \brief Return type of shape contained in a group
3191 * \param group - a shape of type TopAbs_COMPOUND
3192 * \param avoidCompound - not to return TopAbs_COMPOUND
3194 //================================================================================
3196 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3197 const bool avoidCompound)
3199 if ( !group.IsNull() )
3201 if ( group.ShapeType() != TopAbs_COMPOUND )
3202 return group.ShapeType();
3204 // iterate on a compound
3205 TopoDS_Iterator it( group );
3207 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3209 return TopAbs_SHAPE;
3212 //================================================================================
3214 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3215 * \param [in] hyp - the hypothesis
3216 * \param [in] shape - the shape, for meshing which the \a hyp is used
3217 * \param [in] mesh - the mesh
3218 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3220 //================================================================================
3222 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3223 const TopoDS_Shape& shape,
3226 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3227 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3229 TopoDS_Shape shapeOfHyp;
3230 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3234 //=======================================================================
3235 //function : IsQuadraticMesh
3236 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3237 // quadratic elements will be created.
3238 // Used then generated 3D mesh without geometry.
3239 //=======================================================================
3241 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3243 int NbAllEdgsAndFaces=0;
3244 int NbQuadFacesAndEdgs=0;
3245 int NbFacesAndEdges=0;
3246 //All faces and edges
3247 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3248 if ( NbAllEdgsAndFaces == 0 )
3249 return SMESH_MesherHelper::LINEAR;
3251 //Quadratic faces and edges
3252 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3254 //Linear faces and edges
3255 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3257 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3259 return SMESH_MesherHelper::QUADRATIC;
3261 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3263 return SMESH_MesherHelper::LINEAR;
3266 //Mesh with both type of elements
3267 return SMESH_MesherHelper::COMP;
3270 //=======================================================================
3271 //function : GetOtherParam
3272 //purpose : Return an alternative parameter for a node on seam
3273 //=======================================================================
3275 double SMESH_MesherHelper::GetOtherParam(const double param) const
3277 int i = myParIndex & U_periodic ? 0 : 1;
3278 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3283 //=======================================================================
3285 * \brief Iterator on ancestors of the given type
3287 //=======================================================================
3289 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3291 TopTools_ListIteratorOfListOfShape _ancIter;
3292 TopAbs_ShapeEnum _type;
3293 TopTools_MapOfShape _encountered;
3294 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3295 : _ancIter( ancestors ), _type( type )
3297 if ( _ancIter.More() ) {
3298 if ( _ancIter.Value().ShapeType() != _type ) next();
3299 else _encountered.Add( _ancIter.Value() );
3304 return _ancIter.More();
3306 virtual const TopoDS_Shape* next()
3308 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3309 if ( _ancIter.More() )
3310 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3311 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3319 //=======================================================================
3321 * \brief Return iterator on ancestors of the given type
3323 //=======================================================================
3325 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3326 const SMESH_Mesh& mesh,
3327 TopAbs_ShapeEnum ancestorType)
3329 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3332 //=======================================================================
3333 //function : GetCommonAncestor
3334 //purpose : Find a common ancestors of two shapes of the given type
3335 //=======================================================================
3337 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3338 const TopoDS_Shape& shape2,
3339 const SMESH_Mesh& mesh,
3340 TopAbs_ShapeEnum ancestorType)
3342 TopoDS_Shape commonAnc;
3343 if ( !shape1.IsNull() && !shape2.IsNull() )
3345 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3347 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3350 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3351 while ( const TopoDS_Shape* anc = ancIt->next() )
3352 if ( IsSubShape( shape2, *anc ))
3361 //#include <Perf_Meter.hxx>
3363 //=======================================================================
3364 namespace { // Structures used by FixQuadraticElements()
3365 //=======================================================================
3367 #define __DMP__(txt) \
3369 #define MSG(txt) __DMP__(txt<<endl)
3370 #define MSGBEG(txt) __DMP__(txt)
3372 //const double straightTol2 = 1e-33; // to detect straing links
3373 bool isStraightLink(double linkLen2, double middleNodeMove2)
3375 // straight if <node move> < 1/15 * <link length>
3376 return middleNodeMove2 < 1/15./15. * linkLen2;
3380 // ---------------------------------------
3382 * \brief Quadratic link knowing its faces
3384 struct QLink: public SMESH_TLink
3386 const SMDS_MeshNode* _mediumNode;
3387 mutable vector<const QFace* > _faces;
3388 mutable gp_Vec _nodeMove;
3389 mutable int _nbMoves;
3390 mutable bool _is2dFixed; // is moved along surface or in 3D
3392 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3393 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3395 _nodeMove = MediumPnt() - MiddlePnt();
3396 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3398 void SetContinuesFaces() const;
3399 const QFace* GetContinuesFace( const QFace* face ) const;
3400 bool OnBoundary() const;
3401 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3402 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3404 SMDS_TypeOfPosition MediumPos() const
3405 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3406 SMDS_TypeOfPosition EndPos(bool isSecond) const
3407 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3408 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3409 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3411 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3412 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3413 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3414 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3415 bool IsFixedOnSurface() const { return _is2dFixed; }
3416 bool IsStraight() const
3417 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3418 _nodeMove.SquareMagnitude());
3420 bool operator<(const QLink& other) const {
3421 return (node1()->GetID() == other.node1()->GetID() ?
3422 node2()->GetID() < other.node2()->GetID() :
3423 node1()->GetID() < other.node1()->GetID());
3425 // struct PtrComparator {
3426 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3429 // ---------------------------------------------------------
3431 * \brief Link in the chain of links; it connects two faces
3435 const QLink* _qlink;
3436 mutable const QFace* _qfaces[2];
3438 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3439 _qfaces[0] = _qfaces[1] = 0;
3441 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3443 bool IsBoundary() const { return !_qfaces[1]; }
3445 void RemoveFace( const QFace* face ) const
3446 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3448 const QFace* NextFace( const QFace* f ) const
3449 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3451 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3452 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3454 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3456 operator bool() const { return (_qlink); }
3458 const QLink* operator->() const { return _qlink; }
3460 gp_Vec Normal() const;
3462 bool IsStraight() const;
3464 // --------------------------------------------------------------------
3465 typedef list< TChainLink > TChain;
3466 typedef set < TChainLink > TLinkSet;
3467 typedef TLinkSet::const_iterator TLinkInSet;
3469 const int theFirstStep = 5;
3471 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3472 // --------------------------------------------------------------------
3474 * \brief Quadratic face shared by two volumes and bound by QLinks
3476 struct QFace: public TIDSortedNodeSet
3478 mutable const SMDS_MeshElement* _volumes[2];
3479 mutable vector< const QLink* > _sides;
3480 mutable bool _sideIsAdded[4]; // added in chain of links
3483 mutable const SMDS_MeshElement* _face;
3486 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3488 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3490 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3492 void AddSelfToLinks() const {
3493 for ( int i = 0; i < _sides.size(); ++i )
3494 _sides[i]->_faces.push_back( this );
3496 int LinkIndex( const QLink* side ) const {
3497 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3500 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3502 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3504 int i = LinkIndex( link._qlink );
3505 if ( i < 0 ) return true;
3506 _sideIsAdded[i] = true;
3507 link.SetFace( this );
3508 // continue from opposite link
3509 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3511 bool IsBoundary() const { return !_volumes[1]; }
3513 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3515 bool IsSpoiled(const QLink* bentLink ) const;
3517 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3518 const TChainLink& avoidLink,
3519 TLinkInSet * notBoundaryLink = 0,
3520 const SMDS_MeshNode* nodeToContain = 0,
3521 bool * isAdjacentUsed = 0,
3522 int nbRecursionsLeft = -1) const;
3524 TLinkInSet GetLinkByNode( const TLinkSet& links,
3525 const TChainLink& avoidLink,
3526 const SMDS_MeshNode* nodeToContain) const;
3528 const SMDS_MeshNode* GetNodeInFace() const {
3529 for ( int iL = 0; iL < _sides.size(); ++iL )
3530 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3534 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3536 double MoveByBoundary( const TChainLink& theLink,
3537 const gp_Vec& theRefVec,
3538 const TLinkSet& theLinks,
3539 SMESH_MesherHelper* theFaceHelper=0,
3540 const double thePrevLen=0,
3541 const int theStep=theFirstStep,
3542 gp_Vec* theLinkNorm=0,
3543 double theSign=1.0) const;
3546 //================================================================================
3548 * \brief Dump QLink and QFace
3550 ostream& operator << (ostream& out, const QLink& l)
3552 out <<"QLink nodes: "
3553 << l.node1()->GetID() << " - "
3554 << l._mediumNode->GetID() << " - "
3555 << l.node2()->GetID() << endl;
3558 ostream& operator << (ostream& out, const QFace& f)
3560 out <<"QFace nodes: "/*<< &f << " "*/;
3561 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3562 out << (*n)->GetID() << " ";
3563 out << " \tvolumes: "
3564 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3565 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3566 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3570 //================================================================================
3572 * \brief Construct QFace from QLinks
3574 //================================================================================
3576 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3578 _volumes[0] = _volumes[1] = 0;
3580 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3581 _normal.SetCoord(0,0,0);
3582 for ( int i = 1; i < _sides.size(); ++i ) {
3583 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3584 insert( l1->node1() ); insert( l1->node2() );
3586 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3587 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3588 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3592 double normSqSize = _normal.SquareMagnitude();
3593 if ( normSqSize > numeric_limits<double>::min() )
3594 _normal /= sqrt( normSqSize );
3596 _normal.SetCoord(1e-33,0,0);
3602 //================================================================================
3604 * \brief Make up a chain of links
3605 * \param iSide - link to add first
3606 * \param chain - chain to fill in
3607 * \param pos - postion of medium nodes the links should have
3608 * \param error - out, specifies what is wrong
3609 * \retval bool - false if valid chain can't be built; "valid" means that links
3610 * of the chain belongs to rectangles bounding hexahedrons
3612 //================================================================================
3614 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3616 if ( iSide >= _sides.size() ) // wrong argument iSide
3618 if ( _sideIsAdded[ iSide ]) // already in chain
3621 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3624 list< const QFace* > faces( 1, this );
3625 while ( !faces.empty() ) {
3626 const QFace* face = faces.front();
3627 for ( int i = 0; i < face->_sides.size(); ++i ) {
3628 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3629 face->_sideIsAdded[i] = true;
3630 // find a face side in the chain
3631 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3632 // TChain::iterator chLink = chain.begin();
3633 // for ( ; chLink != chain.end(); ++chLink )
3634 // if ( chLink->_qlink == face->_sides[i] )
3636 // if ( chLink == chain.end() )
3637 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3638 // add a face to a chained link and put a continues face in the queue
3639 chLink->SetFace( face );
3640 if ( face->_sides[i]->MediumPos() == pos )
3641 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3642 if ( contFace->_sides.size() == 3 )
3643 faces.push_back( contFace );
3648 if ( error < ERR_TRI )
3650 chain.insert( chain.end(), links.begin(),links.end() );
3653 _sideIsAdded[iSide] = true; // not to add this link to chain again
3654 const QLink* link = _sides[iSide];
3658 // add link into chain
3659 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3660 chLink->SetFace( this );
3663 // propagate from a quadrangle to neighbour faces
3664 if ( link->MediumPos() >= pos ) {
3665 int nbLinkFaces = link->_faces.size();
3666 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3667 // hexahedral mesh or boundary quadrangles - goto a continous face
3668 if ( const QFace* f = link->GetContinuesFace( this ))
3669 if ( f->_sides.size() == 4 )
3670 return f->GetLinkChain( *chLink, chain, pos, error );
3673 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3674 for ( int i = 0; i < nbLinkFaces; ++i )
3675 if ( link->_faces[i] )
3676 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3677 if ( error < ERR_PRISM )
3685 //================================================================================
3687 * \brief Return a boundary link of the triangle face
3688 * \param links - set of all links
3689 * \param avoidLink - link not to return
3690 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3691 * \param nodeToContain - node the returned link must contain; if provided, search
3692 * also performed on adjacent faces
3693 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3694 * \param nbRecursionsLeft - to limit recursion
3696 //================================================================================
3698 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3699 const TChainLink& avoidLink,
3700 TLinkInSet * notBoundaryLink,
3701 const SMDS_MeshNode* nodeToContain,
3702 bool * isAdjacentUsed,
3703 int nbRecursionsLeft) const
3705 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3707 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3708 TFaceLinkList adjacentFaces;
3710 for ( int iL = 0; iL < _sides.size(); ++iL )
3712 if ( avoidLink._qlink == _sides[iL] )
3714 TLinkInSet link = links.find( _sides[iL] );
3715 if ( link == linksEnd ) continue;
3716 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3717 continue; // We work on faces here, don't go inside a solid
3720 if ( link->IsBoundary() ) {
3721 if ( !nodeToContain ||
3722 (*link)->node1() == nodeToContain ||
3723 (*link)->node2() == nodeToContain )
3725 boundaryLink = link;
3726 if ( !notBoundaryLink ) break;
3729 else if ( notBoundaryLink ) {
3730 *notBoundaryLink = link;
3731 if ( boundaryLink != linksEnd ) break;
3734 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3735 if ( const QFace* adj = link->NextFace( this ))
3736 if ( adj->Contains( nodeToContain ))
3737 adjacentFaces.push_back( make_pair( adj, link ));
3740 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3741 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3743 if ( nbRecursionsLeft < 0 )
3744 nbRecursionsLeft = nodeToContain->NbInverseElements();
3745 TFaceLinkList::iterator adj = adjacentFaces.begin();
3746 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3747 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3748 isAdjacentUsed, nbRecursionsLeft-1);
3749 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3751 return boundaryLink;
3753 //================================================================================
3755 * \brief Return a link ending at the given node but not avoidLink
3757 //================================================================================
3759 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3760 const TChainLink& avoidLink,
3761 const SMDS_MeshNode* nodeToContain) const
3763 for ( int i = 0; i < _sides.size(); ++i )
3764 if ( avoidLink._qlink != _sides[i] &&
3765 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3766 return links.find( _sides[ i ]);
3770 //================================================================================
3772 * \brief Return normal to the i-th side pointing outside the face
3774 //================================================================================
3776 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3778 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3779 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3780 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3781 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3783 if ( norm * vecOut < 0 )
3785 double mag2 = norm.SquareMagnitude();
3786 if ( mag2 > numeric_limits<double>::min() )
3787 norm /= sqrt( mag2 );
3790 //================================================================================
3792 * \brief Move medium node of theLink according to its distance from boundary
3793 * \param theLink - link to fix
3794 * \param theRefVec - movement of boundary
3795 * \param theLinks - all adjacent links of continous triangles
3796 * \param theFaceHelper - helper is not used so far
3797 * \param thePrevLen - distance from the boundary
3798 * \param theStep - number of steps till movement propagation limit
3799 * \param theLinkNorm - out normal to theLink
3800 * \param theSign - 1 or -1 depending on movement of boundary
3801 * \retval double - distance from boundary to propagation limit or other boundary
3803 //================================================================================
3805 double QFace::MoveByBoundary( const TChainLink& theLink,
3806 const gp_Vec& theRefVec,
3807 const TLinkSet& theLinks,
3808 SMESH_MesherHelper* theFaceHelper,
3809 const double thePrevLen,
3811 gp_Vec* theLinkNorm,
3812 double theSign) const
3815 return thePrevLen; // propagation limit reached
3817 int iL; // index of theLink
3818 for ( iL = 0; iL < _sides.size(); ++iL )
3819 if ( theLink._qlink == _sides[ iL ])
3822 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3823 <<" thePrevLen " << thePrevLen);
3824 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3826 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3827 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3828 if ( theStep == theFirstStep )
3829 theSign = refProj < 0. ? -1. : 1.;
3830 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3831 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3833 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3834 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3835 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3837 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3838 bool isBndLink1 = true, isBndLink2 = true;
3839 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3841 f1 = link1->NextFace( this );
3842 f2 = link2->NextFace( this );
3844 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3845 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3846 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3848 if ( !isBndLink1 && !f1 )
3849 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3850 if ( !isBndLink2 && !f2 )
3851 f2 = (*link2)->GetContinuesFace( this );
3854 else if ( _sides.size() < 4 )
3857 // propagate to adjacent faces till limit step or boundary
3858 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3859 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3860 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3861 gp_Vec linkDir2(0,0,0);
3864 if ( f1 && !isBndLink1 )
3865 len1 = f1->MoveByBoundary
3866 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3868 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3870 MSG( " --------------- EXCEPTION");
3875 if ( f2 && !isBndLink2 )
3876 len2 = f2->MoveByBoundary
3877 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3879 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3881 MSG( " --------------- EXCEPTION");
3886 if ( theStep != theFirstStep )
3888 // choose chain length by direction of propagation most codirected with theRefVec
3889 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3890 fullLen = choose1 ? len1 : len2;
3891 double r = thePrevLen / fullLen;
3893 gp_Vec move = linkNorm * refProj * ( 1 - r );
3894 theLink->Move( move, /*sum=*/true );
3896 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3897 " by " << refProj * ( 1 - r ) << " following " <<
3898 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3900 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3905 //================================================================================
3907 * \brief Checks if the face is distorted due to bentLink
3909 //================================================================================
3911 bool QFace::IsSpoiled(const QLink* bentLink ) const
3913 // code is valid for convex faces only
3915 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3916 gc += XYZ( *n ) / size();
3917 for (unsigned i = 0; i < _sides.size(); ++i )
3919 if ( _sides[i] == bentLink ) continue;
3920 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3921 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3922 if ( linkNorm * vecOut < 0 )
3924 double mag2 = linkNorm.SquareMagnitude();
3925 if ( mag2 > numeric_limits<double>::min() )
3926 linkNorm /= sqrt( mag2 );
3927 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3928 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3929 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3936 //================================================================================
3938 * \brief Find pairs of continues faces
3940 //================================================================================
3942 void QLink::SetContinuesFaces() const
3944 // x0 x - QLink, [-|] - QFace, v - volume
3946 // | Between _faces of link x2 two vertical faces are continues
3947 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3948 // | to _faces[0] and _faces[1] and horizontal faces to
3949 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3952 if ( _faces.empty() )
3954 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3955 if ( _faces[0]->IsBoundary() )
3956 iBoundary[ nbBoundary++ ] = 0;
3957 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3959 // look for a face bounding none of volumes bound by _faces[0]
3960 bool sameVol = false;
3961 int nbVol = _faces[iF]->NbVolumes();
3962 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3963 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3964 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3967 if ( _faces[iF]->IsBoundary() )
3968 iBoundary[ nbBoundary++ ] = iF;
3970 // Set continues faces: arrange _faces to have
3971 // _faces[0] continues to _faces[1]
3972 // _faces[2] continues to _faces[3]
3973 if ( nbBoundary == 2 ) // bnd faces are continues
3975 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3977 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3978 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3981 else if ( iFaceCont > 0 ) // continues faces found
3983 if ( iFaceCont != 1 )
3984 std::swap( _faces[1], _faces[iFaceCont] );
3986 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3988 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3991 //================================================================================
3993 * \brief Return a face continues to the given one
3995 //================================================================================
3997 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3999 for ( int i = 0; i < _faces.size(); ++i ) {
4000 if ( _faces[i] == face ) {
4001 int iF = i < 2 ? 1-i : 5-i;
4002 return iF < _faces.size() ? _faces[iF] : 0;
4007 //================================================================================
4009 * \brief True if link is on mesh boundary
4011 //================================================================================
4013 bool QLink::OnBoundary() const
4015 for ( int i = 0; i < _faces.size(); ++i )
4016 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4019 //================================================================================
4021 * \brief Return normal of link of the chain
4023 //================================================================================
4025 gp_Vec TChainLink::Normal() const {
4027 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4028 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4031 //================================================================================
4033 * \brief Test link curvature taking into account size of faces
4035 //================================================================================
4037 bool TChainLink::IsStraight() const
4039 bool isStraight = _qlink->IsStraight();
4040 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4042 int i = _qfaces[0]->LinkIndex( _qlink );
4043 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4044 gp_XYZ mid1 = _qlink->MiddlePnt();
4045 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4046 double faceSize2 = (mid1-mid2).SquareModulus();
4047 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4052 //================================================================================
4054 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4056 //================================================================================
4058 void fixPrism( TChain& allLinks )
4060 // separate boundary links from internal ones
4061 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4062 QLinkSet interLinks, bndLinks1, bndLink2;
4064 bool isCurved = false;
4065 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4066 if ( (*lnk)->OnBoundary() )
4067 bndLinks1.insert( lnk->_qlink );
4069 interLinks.insert( lnk->_qlink );
4070 isCurved = isCurved || !lnk->IsStraight();
4073 return; // no need to move
4075 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4077 while ( !interLinks.empty() && !curBndLinks->empty() )
4079 // propagate movement from boundary links to connected internal links
4080 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4081 for ( ; bnd != bndEnd; ++bnd )
4083 const QLink* bndLink = *bnd;
4084 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4086 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4087 if ( !face ) continue;
4088 // find and move internal link opposite to bndLink within the face
4089 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4090 const QLink* interLink = face->_sides[ interInd ];
4091 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4092 if ( pInterLink == interLinks.end() ) continue; // not internal link
4093 interLink->Move( bndLink->_nodeMove );
4094 // treated internal links become new boundary ones
4095 interLinks.erase( pInterLink );
4096 newBndLinks->insert( interLink );
4099 curBndLinks->clear();
4100 std::swap( curBndLinks, newBndLinks );
4104 //================================================================================
4106 * \brief Fix links of continues triangles near curved boundary
4108 //================================================================================
4110 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4112 if ( allLinks.empty() ) return;
4114 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4115 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4117 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4119 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4121 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4122 const QFace* face = linkIt->_qfaces[0];
4123 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4124 face->_sides[1]->MiddlePnt() +
4125 face->_sides[2]->MiddlePnt() ) / 3.;
4126 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4127 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4128 //if ( face->IsSpoiled( linkIt->_qlink ))
4129 if ( linkBentInside )
4130 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4135 //================================================================================
4137 * \brief Detect rectangular structure of links and build chains from them
4139 //================================================================================
4141 enum TSplitTriaResult {
4142 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4143 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4145 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4146 vector< TChain> & resultChains,
4147 SMDS_TypeOfPosition pos )
4149 // put links in the set and evalute number of result chains by number of boundary links
4152 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4153 linkSet.insert( *lnk );
4154 nbBndLinks += lnk->IsBoundary();
4156 resultChains.clear();
4157 resultChains.reserve( nbBndLinks / 2 );
4159 TLinkInSet linkIt, linksEnd = linkSet.end();
4161 // find a boundary link with corner node; corner node has position pos-2
4162 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4164 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4165 const SMDS_MeshNode* corner = 0;
4166 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4167 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4172 TLinkInSet startLink = linkIt;
4173 const SMDS_MeshNode* startCorner = corner;
4174 vector< TChain* > rowChains;
4177 while ( startLink != linksEnd) // loop on columns
4179 // We suppose we have a rectangular structure like shown here. We have found a
4180 // corner of the rectangle (startCorner) and a boundary link sharing
4181 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4182 // --o---o---o structure making several chains at once. One chain (columnChain)
4183 // |\ | /| starts at startLink and continues upward (we look at the structure
4184 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4185 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4186 // --o---o---o encounter.
4188 // / | \ | \ | startCorner
4193 if ( resultChains.size() == nbBndLinks / 2 )
4195 resultChains.push_back( TChain() );
4196 TChain& columnChain = resultChains.back();
4198 TLinkInSet botLink = startLink; // current horizontal link to go up from
4199 corner = startCorner; // current corner the botLink ends at
4201 while ( botLink != linksEnd ) // loop on rows
4203 // add botLink to the columnChain
4204 columnChain.push_back( *botLink );
4206 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4208 { // the column ends
4209 if ( botLink == startLink )
4210 return _TWISTED_CHAIN; // issue 0020951
4211 linkSet.erase( botLink );
4212 if ( iRow != rowChains.size() )
4213 return _FEW_ROWS; // different nb of rows in columns
4216 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4217 // link ending at <corner> (sideLink); there are two cases:
4218 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4219 // since midQuadLink is not at boundary while sideLink is.
4220 // 2) midQuadLink ends at <corner>
4222 TLinkInSet midQuadLink = linksEnd;
4223 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4225 if ( isCase2 ) { // find midQuadLink among links of botTria
4226 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4227 if ( midQuadLink->IsBoundary() )
4228 return _BAD_MIDQUAD;
4230 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4231 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4234 columnChain.push_back( *midQuadLink );
4235 if ( iRow >= rowChains.size() ) {
4237 return _MANY_ROWS; // different nb of rows in columns
4238 if ( resultChains.size() == nbBndLinks / 2 )
4240 resultChains.push_back( TChain() );
4241 rowChains.push_back( & resultChains.back() );
4243 rowChains[iRow]->push_back( *sideLink );
4244 rowChains[iRow]->push_back( *midQuadLink );
4246 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4250 // prepare startCorner and startLink for the next column
4251 startCorner = startLink->NextNode( startCorner );
4253 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4255 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4256 // check if no more columns remains
4257 if ( startLink != linksEnd ) {
4258 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4259 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4260 startLink = linksEnd; // startLink bounds upTria or botTria
4261 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4265 // find bottom link and corner for the next row
4266 corner = sideLink->NextNode( corner );
4267 // next bottom link ends at the new corner
4268 linkSet.erase( botLink );
4269 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4270 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4272 if ( midQuadLink == startLink || sideLink == startLink )
4273 return _TWISTED_CHAIN; // issue 0020951
4274 linkSet.erase( midQuadLink );
4275 linkSet.erase( sideLink );
4277 // make faces neighboring the found ones be boundary
4278 if ( startLink != linksEnd ) {
4279 const QFace* tria = isCase2 ? botTria : upTria;
4280 for ( int iL = 0; iL < 3; ++iL ) {
4281 linkIt = linkSet.find( tria->_sides[iL] );
4282 if ( linkIt != linksEnd )
4283 linkIt->RemoveFace( tria );
4286 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4287 botLink->RemoveFace( upTria ); // make next botTria first in vector
4294 // In the linkSet, there must remain the last links of rowChains; add them
4295 if ( linkSet.size() != rowChains.size() )
4296 return _BAD_SET_SIZE;
4297 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
4298 // find the link (startLink) ending at startCorner
4300 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4301 if ( (*startLink)->node1() == startCorner ) {
4302 corner = (*startLink)->node2(); break;
4304 else if ( (*startLink)->node2() == startCorner) {
4305 corner = (*startLink)->node1(); break;
4308 if ( startLink == linksEnd )
4310 rowChains[ iRow ]->push_back( *startLink );
4311 linkSet.erase( startLink );
4312 startCorner = corner;
4318 //================================================================================
4320 * \brief Place medium nodes at the link middle for elements whose corner nodes
4321 * are out of geometrical boundary to prevent distorting elements.
4322 * Issue 0020982, note 0013990
4324 //================================================================================
4326 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4327 SMESH_ComputeErrorPtr& theError)
4329 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4330 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4331 if ( shape.IsNull() ) return;
4333 if ( !theError ) theError = SMESH_ComputeError::New();
4337 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4339 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4341 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4342 if ( !faceSM ) return;
4344 const TopoDS_Face& face = TopoDS::Face( shape );
4345 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4347 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4348 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4350 // check if the EDGE needs checking
4351 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4352 if ( SMESH_Algo::isDegenerated( edge ) )
4354 if ( theHelper.IsRealSeam( edge ) &&
4355 edge.Orientation() == TopAbs_REVERSED )
4358 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4359 if ( !edgeSM ) continue;
4362 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4363 BRepAdaptor_Curve curve3D( edge );
4364 switch ( curve3D.GetType() ) {
4365 case GeomAbs_Line: continue;
4366 case GeomAbs_Circle:
4367 case GeomAbs_Ellipse:
4368 case GeomAbs_Hyperbola:
4369 case GeomAbs_Parabola:
4372 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4373 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4374 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4375 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4376 gp_Vec fNorm = Du1 ^ Dv1;
4377 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4378 continue; // face is normal to the curve3D
4380 gp_Vec curvNorm = fNorm ^ D1;
4381 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4382 if ( curvNorm * D2 > 0 )
4383 continue; // convex edge
4385 catch ( Standard_Failure )
4390 // get nodes shared by faces that may be distorted
4391 SMDS_NodeIteratorPtr nodeIt;
4392 if ( edgeSM->NbNodes() > 0 ) {
4393 nodeIt = edgeSM->GetNodes();
4396 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4398 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4399 if ( !vertexSM ) continue;
4400 nodeIt = vertexSM->GetNodes();
4403 // find suspicious faces
4404 TIDSortedElemSet checkedFaces;
4405 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4406 const SMDS_MeshNode* nOnFace;
4407 while ( nodeIt->more() )
4409 const SMDS_MeshNode* n = nodeIt->next();
4410 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4411 while ( faceIt->more() )
4413 const SMDS_MeshElement* f = faceIt->next();
4414 if ( !faceSM->Contains( f ) ||
4415 f->NbNodes() < 6 || // check quadratic triangles only
4416 !checkedFaces.insert( f ).second )
4419 // get nodes on EDGE and on FACE of a suspicious face
4420 nOnEdge.clear(); nOnFace = 0;
4421 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4422 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4425 if ( n->GetPosition()->GetDim() == 2 )
4428 nOnEdge.push_back( n );
4431 // check if nOnFace is inside the FACE
4432 if ( nOnFace && nOnEdge.size() == 2 )
4434 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4435 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4437 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4438 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4439 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4440 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4441 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4442 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4443 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4444 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4445 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4447 // nOnFace is out of FACE, move a medium on-edge node to the middle
4448 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4449 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4450 MSG( "move OUT of face " << n );
4451 theError->myBadElements.push_back( f );
4457 if ( !theError->myBadElements.empty() )
4458 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4461 } // 2D ==============================================================================
4463 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4465 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4466 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4468 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4469 if ( !solidSM ) return;
4471 // check if the SOLID is bound by concave FACEs
4472 vector< TopoDS_Face > concaveFaces;
4473 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4474 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4476 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4477 if ( !meshDS->MeshElements( face )) continue;
4479 BRepAdaptor_Surface surface( face );
4480 switch ( surface.GetType() ) {
4481 case GeomAbs_Plane: continue;
4482 case GeomAbs_Cylinder:
4484 case GeomAbs_Sphere:
4487 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4488 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4489 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4490 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4491 gp_Vec fNorm = Du1 ^ Dv1;
4492 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4493 bool concaveU = ( fNorm * Du2 > 1e-100 );
4494 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4495 if ( concaveU || concaveV )
4496 concaveFaces.push_back( face );
4498 catch ( Standard_Failure )
4500 concaveFaces.push_back( face );
4504 if ( concaveFaces.empty() )
4507 // fix 2D mesh on the SOLID
4508 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4510 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4511 faceHelper.SetSubShape( faceIt.Current() );
4512 force3DOutOfBoundary( faceHelper, theError );
4515 // get an iterator over faces on concaveFaces
4516 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4517 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4518 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4519 typedef SMDS_IteratorOnIterators
4520 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4521 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4523 // a seacher to check if a volume is close to a concave face
4524 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4525 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4528 //BRepClass3d_SolidClassifier solidClassifier( shape );
4530 TIDSortedElemSet checkedVols, movedNodes;
4531 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4532 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4534 //const TopoDS_Shape& face = faceIt.Current();
4535 const TopoDS_Shape& face = concaveFaces[ iF ];
4536 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4537 if ( !faceSM ) continue;
4539 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4540 SMDS_NodeIteratorPtr nodeIt;
4541 if ( faceSM->NbNodes() > 0 ) {
4542 nodeIt = faceSM->GetNodes();
4545 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4546 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4547 if ( !vertexSM ) continue;
4548 nodeIt = vertexSM->GetNodes();
4550 // get ids of sub-shapes of the FACE
4552 SMESH_subMeshIteratorPtr smIt =
4553 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4554 while ( smIt->more() )
4555 subIDs.insert( smIt->next()->GetId() );
4557 // find suspicious volumes adjacent to the FACE
4558 vector< const SMDS_MeshNode* > nOnFace( 4 );
4559 const SMDS_MeshNode* nInSolid;
4560 while ( nodeIt->more() )
4562 const SMDS_MeshNode* n = nodeIt->next();
4563 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4564 while ( volIt->more() )
4566 const SMDS_MeshElement* vol = volIt->next();
4567 int nbN = vol->NbCornerNodes();
4568 if ( ( nbN != 4 && nbN != 5 ) ||
4569 !solidSM->Contains( vol ) ||
4570 !checkedVols.insert( vol ).second )
4573 // get nodes on FACE and in SOLID of a suspicious volume
4574 nOnFace.clear(); nInSolid = 0;
4575 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4576 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4579 if ( n->GetPosition()->GetDim() == 3 )
4581 else if ( subIDs.count( n->getshapeId() ))
4582 nOnFace.push_back( n );
4586 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4589 // get size of the vol
4590 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4591 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4592 for ( size_t i = 1; i < nOnFace.size(); ++i )
4594 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4597 // check if vol is close to concaveFaces
4598 const SMDS_MeshElement* closeFace =
4599 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4601 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4604 // check if vol is distorted, i.e. a medium node is much closer
4605 // to nInSolid than the link middle
4606 bool isDistorted = false;
4607 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4608 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4610 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4611 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4612 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4613 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4615 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4616 TLinkNodeMap::const_iterator linkIt =
4617 theHelper.GetTLinkNodeMap().find( link );
4618 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4620 links.push_back( make_pair( linkIt->first, linkIt->second ));
4621 if ( !isDistorted ) {
4622 // compare projections of nInSolid and nMedium to face normal
4623 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4624 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4625 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4626 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4630 // move medium nodes to link middle
4633 for ( size_t i = 0; i < links.size(); ++i )
4635 const SMDS_MeshNode* nMedium = links[i].second;
4636 if ( movedNodes.insert( nMedium ).second )
4638 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4639 SMESH_TNodeXYZ( links[i].first.node2() ));
4640 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4641 MSG( "move OUT of solid " << nMedium );
4644 theError->myBadElements.push_back( vol );
4646 } // loop on volumes sharing a node on FACE
4647 } // loop on nodes on FACE
4648 } // loop on FACEs of a SOLID
4650 if ( !theError->myBadElements.empty() )
4651 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4657 //=======================================================================
4659 * \brief Move medium nodes of faces and volumes to fix distorted elements
4660 * \param error - container of fixed distorted elements
4661 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4663 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4665 //=======================================================================
4667 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4670 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4671 if ( getenv("NO_FixQuadraticElements") )
4674 // 0. Apply algorithm to SOLIDs or FACEs
4675 // ----------------------------------------------
4676 if ( myShape.IsNull() ) {
4677 if ( !myMesh->HasShapeToMesh() ) return;
4678 SetSubShape( myMesh->GetShapeToMesh() );
4682 TopTools_IndexedMapOfShape solids;
4683 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4684 nbSolids = solids.Extent();
4686 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4687 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4688 faces.Add( f.Current() ); // not in solid
4690 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4691 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4692 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4693 faces.Add( f.Current() ); // in not meshed solid
4695 else { // fix nodes in the solid and its faces
4697 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4699 SMESH_MesherHelper h(*myMesh);
4700 h.SetSubShape( s.Current() );
4701 h.ToFixNodeParameters(true);
4702 h.FixQuadraticElements( compError, false );
4705 // fix nodes on geom faces
4707 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4709 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4710 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4711 SMESH_MesherHelper h(*myMesh);
4712 h.SetSubShape( fIt.Key() );
4713 h.ToFixNodeParameters(true);
4714 h.FixQuadraticElements( compError, true);
4716 //perf_print_all_meters(1);
4717 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4718 compError->myComment = "during conversion to quadratic, "
4719 "some medium nodes were not placed on geometry to avoid distorting elements";
4723 // 1. Find out type of elements and get iterator on them
4724 // ---------------------------------------------------
4726 SMDS_ElemIteratorPtr elemIt;
4727 SMDSAbs_ElementType elemType = SMDSAbs_All;
4729 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4732 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4733 elemIt = smDS->GetElements();
4734 if ( elemIt->more() ) {
4735 elemType = elemIt->next()->GetType();
4736 elemIt = smDS->GetElements();
4739 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4742 // 2. Fill in auxiliary data structures
4743 // ----------------------------------
4747 set< QLink >::iterator pLink;
4748 set< QFace >::iterator pFace;
4750 bool isCurved = false;
4751 //bool hasRectFaces = false;
4752 //set<int> nbElemNodeSet;
4753 SMDS_VolumeTool volTool;
4755 TIDSortedNodeSet apexOfPyramid;
4756 const int apexIndex = 4;
4759 // Move medium nodes to the link middle for elements whose corner nodes
4760 // are out of geometrical boundary to fix distorted elements.
4761 force3DOutOfBoundary( *this, compError );
4763 if ( elemType == SMDSAbs_Volume )
4765 while ( elemIt->more() ) // loop on volumes
4767 const SMDS_MeshElement* vol = elemIt->next();
4768 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4770 double volMinSize2 = -1.;
4771 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4773 int nbN = volTool.NbFaceNodes( iF );
4774 //nbElemNodeSet.insert( nbN );
4775 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4776 vector< const QLink* > faceLinks( nbN/2 );
4777 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4780 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4781 pLink = links.insert( link ).first;
4782 faceLinks[ iN/2 ] = & *pLink;
4784 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4786 if ( !link.IsStraight() )
4787 return; // already fixed
4789 else if ( !isCurved )
4791 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4792 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4796 pFace = faces.insert( QFace( faceLinks )).first;
4797 if ( pFace->NbVolumes() == 0 )
4798 pFace->AddSelfToLinks();
4799 pFace->SetVolume( vol );
4800 // hasRectFaces = hasRectFaces ||
4801 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4802 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4805 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4807 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4808 faceNodes[4],faceNodes[6] );
4811 // collect pyramid apexes for further correction
4812 if ( vol->NbCornerNodes() == 5 )
4813 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4815 set< QLink >::iterator pLink = links.begin();
4816 for ( ; pLink != links.end(); ++pLink )
4817 pLink->SetContinuesFaces();
4821 while ( elemIt->more() ) // loop on faces
4823 const SMDS_MeshElement* face = elemIt->next();
4824 if ( !face->IsQuadratic() )
4826 //nbElemNodeSet.insert( face->NbNodes() );
4827 int nbN = face->NbNodes()/2;
4828 vector< const QLink* > faceLinks( nbN );
4829 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4832 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4833 pLink = links.insert( link ).first;
4834 faceLinks[ iN ] = & *pLink;
4836 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4837 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4838 isCurved = !link.IsStraight();
4841 pFace = faces.insert( QFace( faceLinks )).first;
4842 pFace->AddSelfToLinks();
4843 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4847 return; // no curved edges of faces
4849 // 3. Compute displacement of medium nodes
4850 // ---------------------------------------
4852 SMESH_MesherHelper faceHlp(*myMesh);
4854 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4855 TopLoc_Location loc;
4857 // not to treat boundary of volumic sub-mesh.
4858 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4859 for ( ; isInside < 2; ++isInside )
4861 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4862 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4863 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4865 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4866 if ( bool(isInside) == pFace->IsBoundary() )
4868 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4871 // make chain of links connected via continues faces
4874 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4876 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4878 vector< TChain > chains;
4879 if ( error == ERR_OK ) { // chain contains continues rectangles
4881 chains[0].splice( chains[0].begin(), rawChain );
4883 else if ( error == ERR_TRI ) { // chain contains continues triangles
4884 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4885 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4886 fixTriaNearBoundary( rawChain, *this );
4890 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4891 fixPrism( rawChain );
4897 for ( int iC = 0; iC < chains.size(); ++iC )
4899 TChain& chain = chains[iC];
4900 if ( chain.empty() ) continue;
4901 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4902 MSG("3D straight - ignore");
4905 if ( chain.front()->MediumPos() > bndPos ||
4906 chain.back() ->MediumPos() > bndPos ) {
4907 MSG("Internal chain - ignore");
4910 // mesure chain length and compute link position along the chain
4911 double chainLen = 0;
4912 vector< double > linkPos;
4913 TChain savedChain; // backup
4914 MSGBEG( "Link medium nodes: ");
4915 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4916 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4917 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4918 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4919 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4920 if ( savedChain.empty() ) savedChain = chain;
4921 link1 = chain.erase( link1 );
4922 if ( link1 == chain.end() )
4924 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4927 linkPos.push_back( chainLen );
4930 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
4935 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
4937 linkPos.push_back( chainLen );
4940 gp_Vec move0 = chain.front()->_nodeMove;
4941 gp_Vec move1 = chain.back ()->_nodeMove;
4946 // compute node displacement of end links of chain in parametric space of FACE
4947 TChainLink& linkOnFace = *(++chain.begin());
4948 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4949 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4950 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4952 face = TopoDS::Face( f );
4953 faceHlp.SetSubShape( face );
4954 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4955 //bool isStraight[2]; // commented for issue 0023118
4956 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4958 TChainLink& link = is1 ? chain.back() : chain.front();
4959 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
4960 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
4961 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
4962 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4963 // uvMove = uvm - uv12
4964 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4965 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4966 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4967 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4968 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4969 // 10 * uvMove.SquareModulus());
4971 // if ( isStraight[0] && isStraight[1] ) {
4972 // MSG("2D straight - ignore");
4973 // continue; // straight - no need to move nodes of internal links
4976 // check if a chain is already fixed
4977 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
4978 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
4979 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
4980 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4981 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4983 MSG("Already fixed - ignore");
4989 if ( isInside || face.IsNull() )
4991 // compute node displacement of end links in their local coord systems
4993 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4994 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4995 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4996 move0.Transform(trsf);
4999 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5000 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5001 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5002 move1.Transform(trsf);
5005 // compute displacement of medium nodes
5006 link2 = chain.begin();
5009 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5011 double r = linkPos[i] / chainLen;
5012 // displacement in local coord system
5013 gp_Vec move = (1. - r) * move0 + r * move1;
5014 if ( isInside || face.IsNull()) {
5015 // transform to global
5016 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5017 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5019 gp_Vec x = x01.Normalized() + x12.Normalized();
5020 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5021 } catch ( Standard_Failure ) {
5024 move.Transform(trsf);
5025 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5028 // compute 3D displacement by 2D one
5029 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5030 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5031 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5032 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5033 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5034 if ( SMDS_FacePosition* nPos =
5035 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5036 nPos->SetParameters( newUV.X(), newUV.Y() );
5038 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5039 move.SquareMagnitude())
5041 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5042 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5043 MSG( "TOO LONG MOVE \t" <<
5044 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5045 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5046 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5047 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5050 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5052 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5053 << chain.front()->_mediumNode->GetID() <<"-"
5054 << chain.back ()->_mediumNode->GetID() <<
5055 " by " << move.Magnitude());
5057 } // loop on chains of links
5058 } // loop on 2 directions of propagation from quadrangle
5060 } // fix faces and/or volumes
5065 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5066 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5067 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5068 myMesh->NbBiQuadTriangles() +
5069 myMesh->NbTriQuadraticHexas() );
5071 faceHlp.ToFixNodeParameters( true );
5073 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5074 if ( pLink->IsMoved() )
5076 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5078 // put on surface nodes on FACE but moved in 3D (23050)
5079 if ( !pLink->IsFixedOnSurface() )
5081 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5082 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5084 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5085 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5086 gp_XY uv( Precision::Infinite(), 0 );
5087 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5088 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5089 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5092 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5094 // collect bi-quadratic elements
5095 if ( toFixCentralNodes )
5097 biQuadQua = triQuadHex = 0;
5098 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5099 while ( eIt->more() )
5101 const SMDS_MeshElement* e = eIt->next();
5102 switch( e->GetEntityType() ) {
5103 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5104 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5105 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5112 // Fix positions of central nodes of bi-tri-quadratic elements
5114 // treat bi-quad quadrangles
5116 vector< const SMDS_MeshNode* > nodes( 9 );
5118 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5119 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5121 const SMDS_MeshElement* quad = *quadIt;
5124 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5126 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5127 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5128 const TopoDS_Face& F = TopoDS::Face( S );
5129 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5130 const double tol = BRep_Tool::Tolerance( F );
5132 for ( int i = 0; i < 8; ++i )
5134 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5135 // as this method is used after mesh generation, UV of nodes is not
5136 // updated according to bending links, so we update
5137 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5138 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5140 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5141 // move the central node
5142 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5143 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5144 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5148 // treat bi-quad triangles
5150 vector< const SMDS_MeshNode* > nodes;
5152 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5153 for ( ; triIt != biQuadTris.end(); ++triIt )
5155 const SMDS_MeshElement* tria = *triIt;
5157 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5158 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5159 const TopoDS_Face& F = TopoDS::Face( S );
5160 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5161 const double tol = BRep_Tool::Tolerance( F );
5164 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5166 bool uvOK = true, badTria = false;
5167 for ( int i = 0; i < 6; ++i )
5169 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5170 // as this method is used after mesh generation, UV of nodes is not
5171 // updated according to bending links, so we update
5172 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5173 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5176 // move the central node
5178 if ( !uvOK || badTria )
5180 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5181 SMESH_TNodeXYZ( nodes[4] ) +
5182 SMESH_TNodeXYZ( nodes[5] )) / 3;
5186 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5187 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5188 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5190 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5194 // treat tri-quadratic hexahedra
5196 SMDS_VolumeTool volExp;
5197 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5198 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5200 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5202 // fix nodes central in sides
5203 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5205 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5206 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5208 gp_XYZ p = calcTFI( 0.5, 0.5,
5209 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5210 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5211 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5212 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5213 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5217 // fix the volume central node
5218 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5219 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5221 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5222 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5223 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5224 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5225 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5226 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5227 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5228 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5230 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5231 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5232 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5233 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5234 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5235 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5236 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5237 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5238 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5239 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5240 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5241 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5243 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5244 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5245 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5246 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5247 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5248 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5250 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5251 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5252 GetMeshDS()->MoveNode( hexNodes[26],
5253 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());