1 // Copyright (C) 2007-2016 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESHDS_Mesh.hxx"
35 #include "SMESH_Block.hxx"
36 #include "SMESH_HypoFilter.hxx"
37 #include "SMESH_Mesh.hxx"
38 #include "SMESH_MeshAlgos.hxx"
39 #include "SMESH_ProxyMesh.hxx"
40 #include "SMESH_subMesh.hxx"
42 #include <BRepAdaptor_Curve.hxx>
43 #include <BRepAdaptor_Surface.hxx>
44 #include <BRepTools.hxx>
45 #include <BRep_Tool.hxx>
46 #include <Geom2d_Curve.hxx>
47 #include <GeomAPI_ProjectPointOnCurve.hxx>
48 #include <GeomAPI_ProjectPointOnSurf.hxx>
49 #include <Geom_Curve.hxx>
50 #include <Geom_RectangularTrimmedSurface.hxx>
51 #include <Geom_Surface.hxx>
52 #include <ShapeAnalysis.hxx>
54 #include <TopExp_Explorer.hxx>
55 #include <TopTools_ListIteratorOfListOfShape.hxx>
56 #include <TopTools_MapIteratorOfMapOfShape.hxx>
57 #include <TopTools_MapOfShape.hxx>
60 #include <gp_Pnt2d.hxx>
61 #include <gp_Trsf.hxx>
63 #include <Standard_Failure.hxx>
64 #include <Standard_ErrorHandler.hxx>
66 #include <utilities.h>
72 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
76 inline SMESH_TNodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_TNodeXYZ(n); }
78 enum { U_periodic = 1, V_periodic = 2 };
81 //================================================================================
85 //================================================================================
87 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
91 myCreateQuadratic(false),
92 myCreateBiQuadratic(false),
93 myFixNodeParameters(false)
95 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
96 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
99 //=======================================================================
100 //function : ~SMESH_MesherHelper
102 //=======================================================================
104 SMESH_MesherHelper::~SMESH_MesherHelper()
107 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
108 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
109 delete i_proj->second;
112 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
113 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
114 delete i_proj->second;
118 //================================================================================
120 * \brief Return SMESH_Gen
122 //================================================================================
124 SMESH_Gen* SMESH_MesherHelper::GetGen() const
126 return GetMesh()->GetGen();
129 //================================================================================
131 * \brief Return mesh DS
133 //================================================================================
135 SMESHDS_Mesh* SMESH_MesherHelper::GetMeshDS() const
137 return GetMesh()->GetMeshDS();
140 //=======================================================================
141 //function : IsQuadraticSubMesh
142 //purpose : Check submesh for given shape: if all elements on this shape
143 // are quadratic, quadratic elements will be created.
144 // Also fill myTLinkNodeMap
145 //=======================================================================
147 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
149 SMESHDS_Mesh* meshDS = GetMeshDS();
150 // we can create quadratic elements only if all elements
151 // created on sub-shapes of given shape are quadratic
152 // also we have to fill myTLinkNodeMap
153 myCreateQuadratic = true;
154 mySeamShapeIds.clear();
155 myDegenShapeIds.clear();
156 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
157 if ( aSh.ShapeType()==TopAbs_COMPOUND )
159 TopoDS_Iterator subIt( aSh );
161 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
163 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
166 //int nbOldLinks = myTLinkNodeMap.size();
168 if ( !myMesh->HasShapeToMesh() )
170 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
172 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
173 while ( fIt->more() )
174 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
179 TopExp_Explorer exp( aSh, subType );
180 TopTools_MapOfShape checkedSubShapes;
181 for (; exp.More() && myCreateQuadratic; exp.Next()) {
182 if ( !checkedSubShapes.Add( exp.Current() ))
183 continue; // needed if aSh is compound of solids
184 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
185 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
187 const SMDS_MeshElement* e = it->next();
188 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
189 myCreateQuadratic = false;
194 switch ( e->NbCornerNodes() ) {
196 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
198 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
199 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
200 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
202 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
203 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
204 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
205 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
208 myCreateQuadratic = false;
218 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
219 if ( myTLinkNodeMap.empty() )
220 myCreateQuadratic = false;
222 if ( !myCreateQuadratic )
223 myTLinkNodeMap.clear();
227 return myCreateQuadratic;
230 //=======================================================================
231 //function : SetSubShape
232 //purpose : Set geometry to make elements on
233 //=======================================================================
235 void SMESH_MesherHelper::SetSubShape(const int aShID)
237 if ( aShID == myShapeID )
240 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
242 SetSubShape( TopoDS_Shape() );
245 //=======================================================================
246 //function : SetSubShape
247 //purpose : Set geometry to create elements on
248 //=======================================================================
250 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
252 if ( myShape.IsSame( aSh ))
256 mySeamShapeIds.clear();
257 myDegenShapeIds.clear();
259 if ( myShape.IsNull() ) {
263 SMESHDS_Mesh* meshDS = GetMeshDS();
264 myShapeID = meshDS->ShapeToIndex(aSh);
267 // treatment of periodic faces
268 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
270 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
271 BRepAdaptor_Surface surf( face, false );
272 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
273 myParIndex |= U_periodic;
274 myPar1[0] = surf.FirstUParameter();
275 myPar2[0] = surf.LastUParameter();
277 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
278 myParIndex |= V_periodic;
279 myPar1[1] = surf.FirstVParameter();
280 myPar2[1] = surf.LastVParameter();
284 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
286 // look for a "seam" edge, a real seam or an edge on period boundary
287 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
288 const int edgeID = meshDS->ShapeToIndex( edge );
291 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
292 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
293 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
295 bool isSeam = BRep_Tool::IsClosed( edge, face );
296 if ( isSeam ) // real seam - having two pcurves on face
298 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
301 double u1 = uv1.Coord(1);
303 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
304 double u2 = uv1.Coord(1);
305 myPar1[0] = Min( u1, u2 );
306 myPar2[0] = Max( u1, u2 );
310 double v1 = uv1.Coord(2);
312 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
313 double v2 = uv1.Coord(2);
314 myPar1[1] = Min( v1, v2 );
315 myPar2[1] = Max( v1, v2 );
318 else //if ( !isSeam )
320 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
321 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
323 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
324 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
326 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
328 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
329 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
331 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
333 double f,l, r = 0.2345;
334 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
341 uv2 = C2d->Value( f * r + l * ( 1.-r ));
342 if ( du < Precision::PConfusion() )
343 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
345 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
351 // store seam shape indices, negative if shape encounters twice ('real seam')
352 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
353 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
354 int vertexID = meshDS->ShapeToIndex( v.Current() );
355 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
359 // look for a degenerated edge
360 if ( SMESH_Algo::isDegenerated( edge )) {
361 myDegenShapeIds.insert( edgeID );
362 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
363 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
365 if ( !BRep_Tool::SameParameter( edge ) ||
366 !BRep_Tool::SameRange( edge ))
368 setPosOnShapeValidity( edgeID, false );
374 //=======================================================================
375 //function : ShapeToIndex
376 //purpose : Convert a shape to its index in the SMESHDS_Mesh
377 //=======================================================================
379 int SMESH_MesherHelper::ShapeToIndex( const TopoDS_Shape& S ) const
381 return GetMeshDS()->ShapeToIndex( S );
384 //=======================================================================
385 //function : GetNodeUVneedInFaceNode
386 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
387 // Return true if the face is periodic.
388 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
390 //=======================================================================
392 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
394 if ( F.IsNull() ) return !mySeamShapeIds.empty();
396 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
397 return !mySeamShapeIds.empty();
400 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
401 if ( !aSurface.IsNull() )
402 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
407 //=======================================================================
408 //function : IsMedium
410 //=======================================================================
412 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
413 const SMDSAbs_ElementType typeToCheck)
415 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
418 //=======================================================================
419 //function : GetSubShapeByNode
420 //purpose : Return support shape of a node
421 //=======================================================================
423 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
424 const SMESHDS_Mesh* meshDS)
426 int shapeID = node ? node->getshapeId() : 0;
427 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
428 return meshDS->IndexToShape( shapeID );
430 return TopoDS_Shape();
434 //=======================================================================
435 //function : AddTLinkNode
436 //purpose : add a link in my data structure
437 //=======================================================================
439 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
440 const SMDS_MeshNode* n2,
441 const SMDS_MeshNode* n12)
443 // add new record to map
444 SMESH_TLink link( n1, n2 );
445 myTLinkNodeMap.insert( make_pair(link,n12));
448 //================================================================================
450 * \brief Add quadratic links of edge to own data structure
452 //================================================================================
454 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
456 if ( edge && edge->IsQuadratic() )
457 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
463 //================================================================================
465 * \brief Add quadratic links of face to own data structure
467 //================================================================================
469 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
473 switch ( f->NbNodes() ) {
475 // myMapWithCentralNode.insert
476 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
478 // break; -- add medium nodes as well
480 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
481 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
482 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
485 // myMapWithCentralNode.insert
486 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
488 // break; -- add medium nodes as well
490 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
491 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
492 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
493 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
500 //================================================================================
502 * \brief Add quadratic links of volume to own data structure
504 //================================================================================
506 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
508 if ( volume->IsQuadratic() )
510 SMDS_VolumeTool vTool( volume );
511 const SMDS_MeshNode** nodes = vTool.GetNodes();
513 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
515 const int nbN = vTool.NbFaceNodes( iF );
516 const int* iNodes = vTool.GetFaceNodesIndices( iF );
517 for ( int i = 0; i < nbN; )
519 int iN1 = iNodes[i++];
520 int iN12 = iNodes[i++];
522 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
523 int linkID = iN1 * vTool.NbNodes() + iN2;
524 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
525 if ( it_isNew.second )
526 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
528 addedLinks.erase( it_isNew.first ); // each link encounters only twice
530 if ( vTool.NbNodes() == 27 )
532 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
533 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
534 myMapWithCentralNode.insert
535 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
536 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
545 //================================================================================
547 * \brief Return true if position of nodes on the shape hasn't yet been checked or
548 * the positions proved to be invalid
550 //================================================================================
552 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
554 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
555 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
558 //================================================================================
560 * \brief Set validity of positions of nodes on the shape.
561 * Once set, validity is not changed
563 //================================================================================
565 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
567 std::map< int,bool >::iterator sh_ok =
568 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
573 //=======================================================================
574 //function : ToFixNodeParameters
575 //purpose : Enables fixing node parameters on EDGEs and FACEs in
576 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
577 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
579 //=======================================================================
581 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
583 myFixNodeParameters = toFix;
587 //=======================================================================
588 //function : getUVOnSeam
589 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
590 //=======================================================================
592 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
594 gp_Pnt2d result = uv1;
595 for ( int i = U_periodic; i <= V_periodic ; ++i )
597 if ( myParIndex & i )
599 double p1 = uv1.Coord( i );
600 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
601 if ( myParIndex == i ||
602 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
603 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
605 double p2 = uv2.Coord( i );
606 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
607 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
608 result.SetCoord( i, p1Alt );
615 //=======================================================================
616 //function : GetNodeUV
617 //purpose : Return node UV on face
618 //=======================================================================
620 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
621 const SMDS_MeshNode* n,
622 const SMDS_MeshNode* n2,
625 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
627 const SMDS_PositionPtr Pos = n->GetPosition();
629 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
631 // node has position on face
632 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( Pos );
633 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
635 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
637 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
639 // node has position on EDGE => it is needed to find
640 // corresponding EDGE from FACE, get pcurve for this
641 // EDGE and retrieve value from this pcurve
642 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( Pos );
643 const int edgeID = n->getshapeId();
644 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
645 double f, l, u = epos->GetUParameter();
646 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
647 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
648 if ( validU ) uv = C2d->Value( u );
649 else uv.SetCoord( Precision::Infinite(),0.);
650 if ( check || !validU )
651 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
653 // for a node on a seam EDGE select one of UVs on 2 pcurves
654 if ( n2 && IsSeamShape( edgeID ))
656 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
659 { // adjust uv to period
661 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
662 Standard_Boolean isUPeriodic = S->IsUPeriodic();
663 Standard_Boolean isVPeriodic = S->IsVPeriodic();
665 if ( isUPeriodic || isVPeriodic ) {
666 Standard_Real UF,UL,VF,VL;
667 S->Bounds(UF,UL,VF,VL);
668 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
669 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
673 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
674 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
675 newUV.SetX( uv.X() );
676 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
677 newUV.SetY( uv.Y() );
683 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
685 if ( int vertexID = n->getshapeId() ) {
686 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
688 uv = BRep_Tool::Parameters( V, F );
691 catch (Standard_Failure& exc) {
695 if ( !IsSubShape( V, F ))
697 MESSAGE("GetNodeUV() Vertex "<< vertexID <<" not in face "<< GetMeshDS()->ShapeToIndex(F));
698 // get UV of a vertex closest to the node
700 gp_Pnt pn = XYZ( n );
701 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
702 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
703 gp_Pnt p = BRep_Tool::Pnt( curV );
704 double curDist = p.SquareDistance( pn );
705 if ( curDist < dist ) {
707 uv = BRep_Tool::Parameters( curV, F );
708 uvOK = ( dist < DBL_MIN );
715 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
716 for ( ; it.More(); it.Next() ) {
717 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
718 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
720 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
721 if ( !C2d.IsNull() ) {
722 double u = ( V == IthVertex( 0, edge )) ? f : l;
723 uv = C2d->Value( u );
729 if ( !uvOK && V.Orientation() == TopAbs_INTERNAL )
731 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
732 if ( n2 ) uv = GetNodeUV( F, n2 );
733 if ( Precision::IsInfinite( uv.X() ))
734 uv = projector->NextValueOfUV( uv, BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
736 uv = projector->ValueOfUV( BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
737 uvOK = ( projector->Gap() < getFaceMaxTol( F ));
741 if ( n2 && IsSeamShape( vertexID ))
743 bool isSeam = ( myShape.IsSame( F ));
745 SMESH_MesherHelper h( *myMesh );
747 isSeam = IsSeamShape( vertexID );
751 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
757 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
760 if ( check && !uvOK )
766 //=======================================================================
767 //function : CheckNodeUV
768 //purpose : Check and fix node UV on a face
769 //=======================================================================
771 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
772 const SMDS_MeshNode* n,
776 double distXYZ[4]) const
778 int shapeID = n->getshapeId();
780 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
782 ( uv.X() == 0. && uv.Y() == 0. ) ||
783 ( toCheckPosOnShape( shapeID )))
785 // check that uv is correct
787 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
788 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
790 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
792 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
794 setPosOnShapeValidity( shapeID, false );
795 if ( !infinit && distXYZ ) {
796 surfPnt.Transform( loc );
798 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
800 // uv incorrect, project the node to surface
801 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
802 projector.Perform( nodePnt );
803 if ( !projector.IsDone() || projector.NbPoints() < 1 )
805 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
808 Quantity_Parameter U,V;
809 projector.LowerDistanceParameters(U,V);
811 surfPnt = surface->Value( U, V );
812 dist = nodePnt.Distance( surfPnt );
814 surfPnt.Transform( loc );
816 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
820 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
823 // store the fixed UV on the face
824 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
825 const_cast<SMDS_MeshNode*>(n)->SetPosition
826 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
828 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
830 setPosOnShapeValidity( shapeID, true );
836 //=======================================================================
837 //function : GetProjector
838 //purpose : Return projector intitialized by given face without location, which is returned
839 //=======================================================================
841 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
842 TopLoc_Location& loc,
845 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
846 int faceID = GetMeshDS()->ShapeToIndex( F );
847 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
848 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
849 if ( i_proj == i2proj.end() )
851 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
852 double U1, U2, V1, V2;
853 surface->Bounds(U1, U2, V1, V2);
854 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
855 proj->Init( surface, U1, U2, V1, V2, tol );
856 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
858 return *( i_proj->second );
861 //=======================================================================
862 //function : GetSurface
863 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
864 //=======================================================================
866 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
868 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
869 int faceID = GetMeshDS()->ShapeToIndex( F );
870 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
871 if ( i_surf == myFace2Surface.end() && faceID )
873 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
874 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
876 return i_surf->second;
881 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
882 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
883 gp_XY_FunPtr(Subtracted);
886 //=======================================================================
887 //function : ApplyIn2D
888 //purpose : Perform given operation on two 2d points in parameric space of given surface.
889 // It takes into account period of the surface. Use gp_XY_FunPtr macro
890 // to easily define pointer to function of gp_XY class.
891 //=======================================================================
893 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
897 const bool resultInPeriod)
899 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
900 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
901 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
902 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
903 if ( !isUPeriodic && !isVPeriodic )
906 // move uv2 not far than half-period from uv1
908 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
910 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
913 gp_XY res = fun( uv1, gp_XY(u2,v2) );
915 // move result within period
916 if ( resultInPeriod )
918 Standard_Real UF,UL,VF,VL;
919 surface->Bounds(UF,UL,VF,VL);
921 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
923 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
929 //=======================================================================
930 //function : AdjustByPeriod
931 //purpose : Move node positions on a FACE within surface period
932 //=======================================================================
934 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
936 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
937 ph->SetSubShape( face );
939 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
940 if ( ph->GetPeriodicIndex() & iCoo )
942 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
943 const double xRef = uv[0].Coord( iCoo );
944 for ( int i = 1; i < nbUV; ++i )
946 double x = uv[i].Coord( iCoo );
947 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
948 uv[i].SetCoord( iCoo, x + dx );
953 //=======================================================================
954 //function : GetMiddleUV
955 //purpose : Return middle UV taking in account surface period
956 //=======================================================================
958 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
963 // the proper place of getting basic surface seems to be in ApplyIn2D()
964 // but we put it here to decrease a risk of regressions just before releasing a version
965 // Handle(Geom_Surface) surf = surface;
966 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
967 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
969 return ApplyIn2D( surface, p1, p2, & AverageUV );
972 //=======================================================================
973 //function : GetCenterUV
974 //purpose : Return UV for the central node of a biquadratic triangle
975 //=======================================================================
977 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
983 bool * isBadTria/*=0*/)
986 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
988 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
989 uvAvg = ( uv1 + uv23 ) / 2.;
990 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
991 uvAvg = ( uv2 + uv31 ) / 2.;
992 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
993 uvAvg = ( uv3 + uv12 ) / 2.;
996 *isBadTria = badTria;
1000 //=======================================================================
1001 //function : GetNodeU
1002 //purpose : Return node U on edge
1003 //=======================================================================
1005 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
1006 const SMDS_MeshNode* n,
1007 const SMDS_MeshNode* inEdgeNode,
1010 double param = Precision::Infinite();
1012 const SMDS_PositionPtr pos = n->GetPosition();
1013 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1015 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
1016 param = epos->GetUParameter();
1018 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
1020 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
1023 BRep_Tool::Range( E, f,l );
1024 double uInEdge = GetNodeU( E, inEdgeNode );
1025 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
1029 SMESHDS_Mesh * meshDS = GetMeshDS();
1030 int vertexID = n->getshapeId();
1031 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
1032 param = BRep_Tool::Parameter( V, E );
1037 double tol = BRep_Tool::Tolerance( E );
1038 double f,l; BRep_Tool::Range( E, f,l );
1039 bool force = ( param < f-tol || param > l+tol );
1040 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1041 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1043 *check = CheckNodeU( E, n, param, 2*tol, force );
1048 //=======================================================================
1049 //function : CheckNodeU
1050 //purpose : Check and fix node U on an edge
1051 // Return false if U is bad and could not be fixed
1052 //=======================================================================
1054 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1055 const SMDS_MeshNode* n,
1059 double distXYZ[4]) const
1061 int shapeID = n->getshapeId();
1063 if (( infinit = Precision::IsInfinite( u )) ||
1066 ( toCheckPosOnShape( shapeID )))
1068 TopLoc_Location loc; double f,l;
1069 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1070 if ( curve.IsNull() ) // degenerated edge
1072 if ( u+tol < f || u-tol > l )
1074 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1080 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1081 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1083 double dist = 2*tol;
1086 curvPnt = curve->Value( u );
1087 dist = nodePnt.Distance( curvPnt );
1089 curvPnt.Transform( loc );
1091 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1096 setPosOnShapeValidity( shapeID, false );
1097 // u incorrect, project the node to the curve
1098 int edgeID = GetMeshDS()->ShapeToIndex( E );
1099 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1100 TID2ProjectorOnCurve::iterator i_proj =
1101 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1102 if ( !i_proj->second )
1104 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1105 i_proj->second->Init( curve, f, l );
1107 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1108 projector->Perform( nodePnt );
1109 if ( projector->NbPoints() < 1 )
1111 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1114 Quantity_Parameter U = projector->LowerDistanceParameter();
1116 curvPnt = curve->Value( u );
1117 dist = nodePnt.Distance( curvPnt );
1119 curvPnt.Transform( loc );
1121 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1125 MESSAGE( "CheckNodeU(), invalid projection; distance " << dist << "; tol " << tol );
1128 // store the fixed U on the edge
1129 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1130 const_cast<SMDS_MeshNode*>(n)->SetPosition
1131 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1133 else if ( fabs( u ) > numeric_limits<double>::min() )
1135 setPosOnShapeValidity( shapeID, true );
1137 if (( u < f-tol || u > l+tol ) && force )
1139 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1140 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1143 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1144 double period = curve->Period();
1145 u = ( u < f ) ? u + period : u - period;
1147 catch (Standard_Failure& exc)
1157 //=======================================================================
1158 //function : GetMediumPos
1159 //purpose : Return index and type of the shape (EDGE or FACE only) to
1160 // set a medium node on
1161 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1163 //param : expectedSupport - shape type corresponding to element being created,
1164 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1165 // basing on \a n1 and \a n2
1166 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1167 // case where the lower dim mesh is already constructed and converted to quadratic,
1168 // else, nodes on EDGEs are assigned to FACE, for example.
1169 //=======================================================================
1171 std::pair<int, TopAbs_ShapeEnum>
1172 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1173 const SMDS_MeshNode* n2,
1174 const bool useCurSubShape,
1175 TopAbs_ShapeEnum expectedSupport)
1177 if ( useCurSubShape && !myShape.IsNull() )
1178 return std::make_pair( myShapeID, myShape.ShapeType() );
1180 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1184 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1186 shapeType = myShape.ShapeType();
1187 shapeID = myShapeID;
1189 else if ( n1->getshapeId() == n2->getshapeId() )
1191 shapeID = n2->getshapeId();
1192 shape = GetSubShapeByNode( n1, GetMeshDS() );
1194 else // 2 different shapes
1196 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1197 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1199 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1203 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1206 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1208 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1209 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1210 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1211 if ( IsSubShape( S, F ))
1213 shapeType = TopAbs_FACE;
1214 shapeID = n1->getshapeId();
1218 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1220 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1221 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1222 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1224 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1226 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1227 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1228 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1229 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1231 else // on VERTEX and EDGE
1233 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1234 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1235 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1236 if ( IsSubShape( V, E ))
1239 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1243 if ( !shape.IsNull() )
1246 shapeID = GetMeshDS()->ShapeToIndex( shape );
1247 shapeType = shape.ShapeType(); // EDGE or FACE
1249 if ( expectedSupport < shapeType &&
1250 expectedSupport != TopAbs_SHAPE &&
1251 !myShape.IsNull() &&
1252 myShape.ShapeType() == expectedSupport )
1254 // e.g. a side of triangle connects nodes on the same EDGE but does not
1255 // lie on this EDGE (an arc with a coarse mesh)
1256 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1257 // hope that myShape is a right shape, return it if the found shape
1258 // has converted elements of corresponding dim (segments in our example)
1259 int nbConvertedElems = 0;
1260 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1261 for ( int iN = 0; iN < 2; ++iN )
1263 const SMDS_MeshNode* n = iN ? n2 : n1;
1264 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1265 while ( it->more() )
1267 const SMDS_MeshElement* elem = it->next();
1268 if ( elem->getshapeId() == shapeID &&
1269 elem->IsQuadratic() )
1276 if ( nbConvertedElems == 2 )
1278 shapeType = myShape.ShapeType();
1279 shapeID = myShapeID;
1283 return make_pair( shapeID, shapeType );
1286 //=======================================================================
1287 //function : GetCentralNode
1288 //purpose : Return existing or create a new central node for a quardilateral
1289 // quadratic face given its 8 nodes.
1290 //@param : force3d - true means node creation in between the given nodes,
1291 // else node position is found on a geometrical face if any.
1292 //=======================================================================
1294 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1295 const SMDS_MeshNode* n2,
1296 const SMDS_MeshNode* n3,
1297 const SMDS_MeshNode* n4,
1298 const SMDS_MeshNode* n12,
1299 const SMDS_MeshNode* n23,
1300 const SMDS_MeshNode* n34,
1301 const SMDS_MeshNode* n41,
1304 SMDS_MeshNode *centralNode = 0; // central node to return
1306 // Find an existing central node
1308 TBiQuad keyOfMap(n1,n2,n3,n4);
1309 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1310 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1311 if ( itMapCentralNode != myMapWithCentralNode.end() )
1313 return (*itMapCentralNode).second;
1316 // Get type of shape for the new central node
1318 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1322 TopTools_ListIteratorOfListOfShape it;
1324 std::map< int, int > faceId2nbNodes;
1325 std::map< int, int > ::iterator itMapWithIdFace;
1327 SMESHDS_Mesh* meshDS = GetMeshDS();
1329 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1330 // on sub-shapes of the FACE
1331 if ( GetMesh()->HasShapeToMesh() )
1333 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1334 for(int i = 0; i < 4; i++)
1336 shape = GetSubShapeByNode( nodes[i], meshDS );
1337 if ( shape.IsNull() ) break;
1338 if ( shape.ShapeType() == TopAbs_SOLID )
1340 solidID = nodes[i]->getshapeId();
1341 shapeType = TopAbs_SOLID;
1344 if ( shape.ShapeType() == TopAbs_FACE )
1346 faceID = nodes[i]->getshapeId();
1347 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1348 itMapWithIdFace->second++;
1352 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1353 while ( const TopoDS_Shape* face = it->next() )
1355 faceID = meshDS->ShapeToIndex( *face );
1356 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1357 itMapWithIdFace->second++;
1362 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1364 // find ID of the FACE the four corner nodes belong to
1365 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1366 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1367 itMapWithIdFace->second == 4 )
1369 shapeType = TopAbs_FACE;
1374 itMapWithIdFace = faceId2nbNodes.begin();
1375 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1377 if ( itMapWithIdFace->second == 4 )
1379 shapeType = TopAbs_FACE;
1380 faceID = (*itMapWithIdFace).first;
1388 if ( shapeType == TopAbs_FACE )
1390 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1397 bool toCheck = true;
1398 if ( !F.IsNull() && !force3d )
1400 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1401 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1403 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1404 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1405 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1406 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1407 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1408 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1409 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1414 GetNodeUV( F,n1, n3, &toCheck ),
1415 GetNodeUV( F,n2, n4, &toCheck ),
1416 GetNodeUV( F,n3, n1, &toCheck ),
1417 GetNodeUV( F,n4, n2, &toCheck ),
1418 GetNodeUV( F,n12, n3 ),
1419 GetNodeUV( F,n23, n4 ),
1420 GetNodeUV( F,n34, n2 ),
1421 GetNodeUV( F,n41, n2 )
1423 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1425 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1427 P = surface->Value( uvAvg );
1428 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1429 // if ( mySetElemOnShape ) node is not elem!
1430 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1432 else // ( force3d || F.IsNull() )
1434 P = calcTFI (0.5, 0.5,
1435 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1436 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1437 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1438 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1439 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1441 if ( !F.IsNull() ) // force3d
1443 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1444 GetNodeUV(F,n2,n4,&toCheck) +
1445 GetNodeUV(F,n3,n1,&toCheck) +
1446 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1447 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1448 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1450 else if ( solidID > 0 )
1452 meshDS->SetNodeInVolume( centralNode, solidID );
1454 else if ( myShapeID > 0 && mySetElemOnShape )
1456 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1459 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1463 //=======================================================================
1464 //function : GetCentralNode
1465 //purpose : Return existing or create a new central node for a
1466 // quadratic triangle given its 6 nodes.
1467 //@param : force3d - true means node creation in between the given nodes,
1468 // else node position is found on a geometrical face if any.
1469 //=======================================================================
1471 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1472 const SMDS_MeshNode* n2,
1473 const SMDS_MeshNode* n3,
1474 const SMDS_MeshNode* n12,
1475 const SMDS_MeshNode* n23,
1476 const SMDS_MeshNode* n31,
1479 SMDS_MeshNode *centralNode = 0; // central node to return
1481 // Find an existing central node
1483 TBiQuad keyOfMap(n1,n2,n3);
1484 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1485 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1486 if ( itMapCentralNode != myMapWithCentralNode.end() )
1488 return (*itMapCentralNode).second;
1491 // Get type of shape for the new central node
1493 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1497 TopTools_ListIteratorOfListOfShape it;
1499 std::map< int, int > faceId2nbNodes;
1500 std::map< int, int > ::iterator itMapWithIdFace;
1502 SMESHDS_Mesh* meshDS = GetMeshDS();
1504 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1505 // on sub-shapes of the FACE
1506 if ( GetMesh()->HasShapeToMesh() )
1508 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1509 for(int i = 0; i < 3; i++)
1511 shape = GetSubShapeByNode( nodes[i], meshDS );
1512 if ( shape.IsNull() ) break;
1513 if ( shape.ShapeType() == TopAbs_SOLID )
1515 solidID = nodes[i]->getshapeId();
1516 shapeType = TopAbs_SOLID;
1519 if ( shape.ShapeType() == TopAbs_FACE )
1521 faceID = nodes[i]->getshapeId();
1522 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1523 itMapWithIdFace->second++;
1527 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1528 while ( const TopoDS_Shape* face = it->next() )
1530 faceID = meshDS->ShapeToIndex( *face );
1531 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1532 itMapWithIdFace->second++;
1537 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1539 // find ID of the FACE the four corner nodes belong to
1540 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1541 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1542 itMapWithIdFace->second == 4 )
1544 shapeType = TopAbs_FACE;
1549 itMapWithIdFace = faceId2nbNodes.begin();
1550 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1552 if ( itMapWithIdFace->second == 3 )
1554 shapeType = TopAbs_FACE;
1555 faceID = (*itMapWithIdFace).first;
1565 if ( shapeType == TopAbs_FACE )
1567 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1568 bool checkOK = true, badTria = false;
1570 GetNodeUV( F, n1, n23, &checkOK ),
1571 GetNodeUV( F, n2, n31, &checkOK ),
1572 GetNodeUV( F, n3, n12, &checkOK ),
1573 GetNodeUV( F, n12, n3, &checkOK ),
1574 GetNodeUV( F, n23, n1, &checkOK ),
1575 GetNodeUV( F, n31, n2, &checkOK )
1577 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1579 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1581 if ( badTria || !checkOK )
1585 // Create a central node
1588 if ( !F.IsNull() && !force3d )
1590 TopLoc_Location loc;
1591 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1592 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1593 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1594 // if ( mySetElemOnShape ) node is not elem!
1595 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1597 else // ( force3d || F.IsNull() )
1599 P = ( SMESH_TNodeXYZ( n12 ) +
1600 SMESH_TNodeXYZ( n23 ) +
1601 SMESH_TNodeXYZ( n31 ) ) / 3;
1602 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1604 if ( !F.IsNull() ) // force3d
1606 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1608 else if ( solidID > 0 )
1610 meshDS->SetNodeInVolume( centralNode, solidID );
1612 else if ( myShapeID > 0 && mySetElemOnShape )
1614 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1617 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1621 //=======================================================================
1622 //function : GetMediumNode
1623 //purpose : Return existing or create a new medium node between given ones
1624 //=======================================================================
1626 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1627 const SMDS_MeshNode* n2,
1629 TopAbs_ShapeEnum expectedSupport)
1631 // Find existing node
1633 SMESH_TLink link(n1,n2);
1634 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1635 if ( itLN != myTLinkNodeMap.end() ) {
1636 return (*itLN).second;
1639 // Create medium node
1642 SMESHDS_Mesh* meshDS = GetMeshDS();
1644 if ( IsSeamShape( n1->getshapeId() ))
1645 // to get a correct UV of a node on seam, the second node must have checked UV
1646 std::swap( n1, n2 );
1648 // get type of shape for the new medium node
1649 int faceID = -1, edgeID = -1;
1650 TopoDS_Edge E; double u [2] = {0.,0.};
1651 TopoDS_Face F; gp_XY uv[2];
1652 bool uvOK[2] = { true, true };
1653 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1655 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1657 // get positions of the given nodes on shapes
1658 if ( pos.second == TopAbs_FACE )
1660 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1661 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1663 ( HasDegeneratedEdges() || GetSurface( F )->HasSingularities( 1e-7 )))
1665 // IPAL52850 (degen VERTEX not at singularity)
1666 // project middle point to a surface
1667 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1668 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1669 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
1672 uvMid = projector->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1674 uvMid = projector->ValueOfUV( pMid, getFaceMaxTol( F ));
1675 if ( projector->Gap() * projector->Gap() < ( p1 - p2 ).SquareModulus() / 4 )
1677 gp_Pnt pProj = projector->Value( uvMid );
1678 n12 = meshDS->AddNode( pProj.X(), pProj.Y(), pProj.Z() );
1679 meshDS->SetNodeOnFace( n12, faceID, uvMid.X(), uvMid.Y() );
1680 myTLinkNodeMap.insert( make_pair ( link, n12 ));
1684 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1686 else if ( pos.second == TopAbs_EDGE )
1688 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1689 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1690 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1691 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1692 n1->getshapeId() != n2->getshapeId() )
1695 return getMediumNodeOnComposedWire(n1,n2,force3d);
1697 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1699 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1700 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1702 catch ( Standard_Failure& f )
1704 // issue 22502 / a node is on VERTEX not belonging to E
1705 // issue 22568 / both nodes are on non-connected VERTEXes
1706 return getMediumNodeOnComposedWire(n1,n2,force3d);
1710 if ( !force3d & uvOK[0] && uvOK[1] )
1712 // we try to create medium node using UV parameters of
1713 // nodes, else - medium between corresponding 3d points
1716 //if ( uvOK[0] && uvOK[1] )
1718 if ( IsDegenShape( n1->getshapeId() )) {
1719 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1720 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1722 else if ( IsDegenShape( n2->getshapeId() )) {
1723 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1724 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1726 TopLoc_Location loc;
1727 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1728 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1729 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1730 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1731 // if ( mySetElemOnShape ) node is not elem!
1732 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1733 myTLinkNodeMap.insert(make_pair(link,n12));
1737 else if ( !E.IsNull() )
1740 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1743 Standard_Boolean isPeriodic = C->IsPeriodic();
1746 Standard_Real Period = C->Period();
1747 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1748 Standard_Real pmid = (u[0]+p)/2.;
1749 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1754 gp_Pnt P = C->Value( U );
1755 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1756 //if ( mySetElemOnShape ) node is not elem!
1757 meshDS->SetNodeOnEdge(n12, edgeID, U);
1758 myTLinkNodeMap.insert(make_pair(link,n12));
1765 double x = ( n1->X() + n2->X() )/2.;
1766 double y = ( n1->Y() + n2->Y() )/2.;
1767 double z = ( n1->Z() + n2->Z() )/2.;
1768 n12 = meshDS->AddNode(x,y,z);
1770 //if ( mySetElemOnShape ) node is not elem!
1774 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1775 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1776 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1778 else if ( !E.IsNull() )
1780 double U = ( u[0] + u[1] ) / 2.;
1781 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1782 meshDS->SetNodeOnEdge(n12, edgeID, U);
1784 else if ( myShapeID > 0 && mySetElemOnShape )
1786 meshDS->SetMeshElementOnShape(n12, myShapeID);
1790 myTLinkNodeMap.insert( make_pair( link, n12 ));
1794 //================================================================================
1796 * \brief Makes a medium node if nodes reside different edges
1798 //================================================================================
1800 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1801 const SMDS_MeshNode* n2,
1804 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1805 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1806 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1808 // To find position on edge and 3D position for n12,
1809 // project <middle> to 2 edges and select projection most close to <middle>
1811 TopoDS_Edge bestEdge;
1812 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1814 // get shapes under the nodes
1815 TopoDS_Shape shape[2];
1817 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1819 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1820 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1822 shape[ nbShapes++ ] = S;
1825 vector< TopoDS_Shape > edges;
1826 for ( int iS = 0; iS < nbShapes; ++iS )
1828 switch ( shape[iS].ShapeType() ) {
1831 edges.push_back( shape[iS] );
1837 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1838 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1840 if ( edge.IsNull() )
1842 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1843 while( const TopoDS_Shape* e = eIt->next() )
1844 edges.push_back( *e );
1850 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1851 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1852 edges.push_back( e.Current() );
1859 // project to get U of projection and distance from middle to projection
1860 for ( size_t iE = 0; iE < edges.size(); ++iE )
1862 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1863 distXYZ[0] = distMiddleProj;
1865 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1866 if ( distXYZ[0] < distMiddleProj )
1868 distMiddleProj = distXYZ[0];
1874 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1875 // TopoDS_Vertex vCommon;
1876 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1877 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1880 // double f,l, u0 = GetNodeU( edges[0], n1 );
1881 // BRep_Tool::Range( edges[0],f,l );
1882 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1885 // distMiddleProj = 0;
1888 if ( !bestEdge.IsNull() )
1890 // move n12 to position of a successfull projection
1891 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1892 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1894 TopLoc_Location loc;
1895 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1896 gp_Pnt p = curve->Value( u ).Transformed( loc );
1897 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1899 //if ( mySetElemOnShape ) node is not elem!
1901 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1902 if ( edgeID != n12->getshapeId() )
1903 GetMeshDS()->UnSetNodeOnShape( n12 );
1904 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1907 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1912 //=======================================================================
1913 //function : AddNode
1914 //purpose : Creates a node
1915 //=======================================================================
1917 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1920 SMESHDS_Mesh * meshDS = GetMeshDS();
1921 SMDS_MeshNode* node = 0;
1923 node = meshDS->AddNodeWithID( x, y, z, ID );
1925 node = meshDS->AddNode( x, y, z );
1926 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1927 switch ( myShape.ShapeType() ) {
1928 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1929 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1930 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1931 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1932 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1939 //=======================================================================
1940 //function : AddEdge
1941 //purpose : Creates quadratic or linear edge
1942 //=======================================================================
1944 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1945 const SMDS_MeshNode* n2,
1949 SMESHDS_Mesh * meshDS = GetMeshDS();
1951 SMDS_MeshEdge* edge = 0;
1952 if (myCreateQuadratic) {
1953 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1955 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1957 edge = meshDS->AddEdge(n1, n2, n12);
1961 edge = meshDS->AddEdgeWithID(n1, n2, id);
1963 edge = meshDS->AddEdge(n1, n2);
1966 if ( mySetElemOnShape && myShapeID > 0 )
1967 meshDS->SetMeshElementOnShape( edge, myShapeID );
1972 //=======================================================================
1973 //function : AddFace
1974 //purpose : Creates quadratic or linear triangle
1975 //=======================================================================
1977 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1978 const SMDS_MeshNode* n2,
1979 const SMDS_MeshNode* n3,
1983 SMESHDS_Mesh * meshDS = GetMeshDS();
1984 SMDS_MeshFace* elem = 0;
1986 if( n1==n2 || n2==n3 || n3==n1 )
1989 if(!myCreateQuadratic) {
1991 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1993 elem = meshDS->AddFace(n1, n2, n3);
1996 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1997 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1998 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1999 if(myCreateBiQuadratic)
2001 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
2003 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
2005 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
2010 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
2012 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
2015 if ( mySetElemOnShape && myShapeID > 0 )
2016 meshDS->SetMeshElementOnShape( elem, myShapeID );
2021 //=======================================================================
2022 //function : AddFace
2023 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
2024 //=======================================================================
2026 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2027 const SMDS_MeshNode* n2,
2028 const SMDS_MeshNode* n3,
2029 const SMDS_MeshNode* n4,
2033 SMESHDS_Mesh * meshDS = GetMeshDS();
2034 SMDS_MeshFace* elem = 0;
2037 return AddFace(n1,n3,n4,id,force3d);
2040 return AddFace(n1,n2,n4,id,force3d);
2043 return AddFace(n1,n2,n3,id,force3d);
2046 return AddFace(n1,n2,n4,id,force3d);
2049 return AddFace(n1,n2,n3,id,force3d);
2052 return AddFace(n1,n2,n3,id,force3d);
2055 if(!myCreateQuadratic) {
2057 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2059 elem = meshDS->AddFace(n1, n2, n3, n4);
2062 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2063 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2064 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2065 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2066 if(myCreateBiQuadratic)
2068 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2070 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2072 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2077 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2079 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2082 if ( mySetElemOnShape && myShapeID > 0 )
2083 meshDS->SetMeshElementOnShape( elem, myShapeID );
2088 //=======================================================================
2089 //function : AddPolygonalFace
2090 //purpose : Creates polygon, with additional nodes in quadratic mesh
2091 //=======================================================================
2093 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2097 SMESHDS_Mesh * meshDS = GetMeshDS();
2098 SMDS_MeshFace* elem = 0;
2100 if(!myCreateQuadratic)
2103 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2105 elem = meshDS->AddPolygonalFace(nodes);
2109 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2111 for ( size_t i = 0; i < nodes.size(); ++i )
2113 const SMDS_MeshNode* n1 = nodes[i];
2114 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2115 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2116 newNodes.push_back( n12 );
2119 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2121 elem = meshDS->AddQuadPolygonalFace(newNodes);
2123 if ( mySetElemOnShape && myShapeID > 0 )
2124 meshDS->SetMeshElementOnShape( elem, myShapeID );
2129 //=======================================================================
2130 //function : AddVolume
2131 //purpose : Creates quadratic or linear prism
2132 //=======================================================================
2134 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2135 const SMDS_MeshNode* n2,
2136 const SMDS_MeshNode* n3,
2137 const SMDS_MeshNode* n4,
2138 const SMDS_MeshNode* n5,
2139 const SMDS_MeshNode* n6,
2143 SMESHDS_Mesh * meshDS = GetMeshDS();
2144 SMDS_MeshVolume* elem = 0;
2145 if(!myCreateQuadratic) {
2147 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2149 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2152 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2153 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2154 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2156 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2157 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2158 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2160 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2161 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2162 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2165 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2166 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2168 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2169 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2171 if ( mySetElemOnShape && myShapeID > 0 )
2172 meshDS->SetMeshElementOnShape( elem, myShapeID );
2177 //=======================================================================
2178 //function : AddVolume
2179 //purpose : Creates quadratic or linear tetrahedron
2180 //=======================================================================
2182 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2183 const SMDS_MeshNode* n2,
2184 const SMDS_MeshNode* n3,
2185 const SMDS_MeshNode* n4,
2189 SMESHDS_Mesh * meshDS = GetMeshDS();
2190 SMDS_MeshVolume* elem = 0;
2191 if(!myCreateQuadratic) {
2193 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2195 elem = meshDS->AddVolume(n1, n2, n3, n4);
2198 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2199 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2200 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2202 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2203 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2204 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2207 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2209 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2211 if ( mySetElemOnShape && myShapeID > 0 )
2212 meshDS->SetMeshElementOnShape( elem, myShapeID );
2217 //=======================================================================
2218 //function : AddVolume
2219 //purpose : Creates quadratic or linear pyramid
2220 //=======================================================================
2222 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2223 const SMDS_MeshNode* n2,
2224 const SMDS_MeshNode* n3,
2225 const SMDS_MeshNode* n4,
2226 const SMDS_MeshNode* n5,
2230 SMDS_MeshVolume* elem = 0;
2231 if(!myCreateQuadratic) {
2233 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2235 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2238 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2239 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2240 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2241 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2243 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2244 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2245 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2246 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2249 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2254 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2256 n15, n25, n35, n45);
2258 if ( mySetElemOnShape && myShapeID > 0 )
2259 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2264 //=======================================================================
2265 //function : AddVolume
2266 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2267 //=======================================================================
2269 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2270 const SMDS_MeshNode* n2,
2271 const SMDS_MeshNode* n3,
2272 const SMDS_MeshNode* n4,
2273 const SMDS_MeshNode* n5,
2274 const SMDS_MeshNode* n6,
2275 const SMDS_MeshNode* n7,
2276 const SMDS_MeshNode* n8,
2280 SMESHDS_Mesh * meshDS = GetMeshDS();
2281 SMDS_MeshVolume* elem = 0;
2282 if(!myCreateQuadratic) {
2284 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2286 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2289 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2290 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2291 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2292 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2294 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2295 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2296 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2297 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2299 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2300 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2301 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2302 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2303 if ( myCreateBiQuadratic )
2305 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2306 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2307 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2308 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2309 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2310 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2312 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2314 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2315 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2316 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2317 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2318 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2319 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2320 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2321 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2323 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2324 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2325 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2326 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2327 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2328 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2329 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2330 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2331 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2332 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2333 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2334 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2336 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2337 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2338 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2339 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2340 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2341 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2343 gp_XYZ centerCube(0.5, 0.5, 0.5);
2345 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2346 const SMDS_MeshNode* nCenter =
2347 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2348 meshDS->SetNodeInVolume( nCenter, myShapeID );
2351 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2352 n12, n23, n34, n41, n56, n67,
2353 n78, n85, n15, n26, n37, n48,
2354 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2356 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2357 n12, n23, n34, n41, n56, n67,
2358 n78, n85, n15, n26, n37, n48,
2359 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2364 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2365 n12, n23, n34, n41, n56, n67,
2366 n78, n85, n15, n26, n37, n48, id);
2368 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2369 n12, n23, n34, n41, n56, n67,
2370 n78, n85, n15, n26, n37, n48);
2373 if ( mySetElemOnShape && myShapeID > 0 )
2374 meshDS->SetMeshElementOnShape( elem, myShapeID );
2379 //=======================================================================
2380 //function : AddVolume
2381 //purpose : Creates LINEAR!!!!!!!!! octahedron
2382 //=======================================================================
2384 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2385 const SMDS_MeshNode* n2,
2386 const SMDS_MeshNode* n3,
2387 const SMDS_MeshNode* n4,
2388 const SMDS_MeshNode* n5,
2389 const SMDS_MeshNode* n6,
2390 const SMDS_MeshNode* n7,
2391 const SMDS_MeshNode* n8,
2392 const SMDS_MeshNode* n9,
2393 const SMDS_MeshNode* n10,
2394 const SMDS_MeshNode* n11,
2395 const SMDS_MeshNode* n12,
2399 SMESHDS_Mesh * meshDS = GetMeshDS();
2400 SMDS_MeshVolume* elem = 0;
2402 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2404 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2405 if ( mySetElemOnShape && myShapeID > 0 )
2406 meshDS->SetMeshElementOnShape( elem, myShapeID );
2410 //=======================================================================
2411 //function : AddPolyhedralVolume
2412 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2413 //=======================================================================
2416 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2417 const std::vector<int>& quantities,
2421 SMESHDS_Mesh * meshDS = GetMeshDS();
2422 SMDS_MeshVolume* elem = 0;
2423 if(!myCreateQuadratic)
2426 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2428 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2432 vector<const SMDS_MeshNode*> newNodes;
2433 vector<int> newQuantities;
2434 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2436 int nbNodesInFace = quantities[iFace];
2437 newQuantities.push_back(0);
2438 for ( int i = 0; i < nbNodesInFace; ++i )
2440 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2441 newNodes.push_back( n1 );
2442 newQuantities.back()++;
2444 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2445 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2446 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2448 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2449 newNodes.push_back( n12 );
2450 newQuantities.back()++;
2453 iN += nbNodesInFace;
2456 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2458 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2460 if ( mySetElemOnShape && myShapeID > 0 )
2461 meshDS->SetMeshElementOnShape( elem, myShapeID );
2468 //================================================================================
2470 * \brief Check if a node belongs to any face of sub-mesh
2472 //================================================================================
2474 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2476 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2477 while ( fIt->more() )
2478 if ( sm->Contains( fIt->next() ))
2484 //=======================================================================
2485 //function : IsSameElemGeometry
2486 //purpose : Returns true if all elements of a sub-mesh are of same shape
2487 //=======================================================================
2489 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2490 SMDSAbs_GeometryType shape,
2491 const bool nullSubMeshRes)
2493 if ( !smDS ) return nullSubMeshRes;
2495 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2496 while ( elemIt->more() ) {
2497 const SMDS_MeshElement* e = elemIt->next();
2498 if ( e->GetGeomType() != shape )
2504 //=======================================================================
2505 //function : LoadNodeColumns
2506 //purpose : Load nodes bound to face into a map of node columns
2507 //=======================================================================
2509 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2510 const TopoDS_Face& theFace,
2511 const TopoDS_Edge& theBaseEdge,
2512 SMESHDS_Mesh* theMesh,
2513 SMESH_ProxyMesh* theProxyMesh)
2515 return LoadNodeColumns(theParam2ColumnMap,
2517 std::list<TopoDS_Edge>(1,theBaseEdge),
2522 //=======================================================================
2523 //function : LoadNodeColumns
2524 //purpose : Load nodes bound to face into a map of node columns
2525 //=======================================================================
2527 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2528 const TopoDS_Face& theFace,
2529 const std::list<TopoDS_Edge>& theBaseSide,
2530 SMESHDS_Mesh* theMesh,
2531 SMESH_ProxyMesh* theProxyMesh)
2533 // get a right sub-mesh of theFace
2535 const SMESHDS_SubMesh* faceSubMesh = 0;
2538 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2539 if ( !faceSubMesh ||
2540 faceSubMesh->NbElements() == 0 ||
2541 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2543 // can use a proxy sub-mesh with not temporary elements only
2549 faceSubMesh = theMesh->MeshElements( theFace );
2550 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2553 if ( theParam2ColumnMap.empty() )
2555 // get data of edges for normalization of params
2556 vector< double > length;
2558 list<TopoDS_Edge>::const_iterator edge;
2560 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2562 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2564 length.push_back( len );
2568 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2569 edge = theBaseSide.begin();
2570 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2572 map< double, const SMDS_MeshNode*> sortedBaseNN;
2573 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2575 map< double, const SMDS_MeshNode*>::iterator u_n;
2576 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2577 // so the following solution is commented (hope forever :)
2579 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2580 // // SMDSAbs_Edge here is needed to be coherent with
2581 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2582 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2583 // // medium node on EDGE is medium in a triangle but not
2586 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2587 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2588 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2590 // const SMDS_MeshNode* node = u_n->second;
2591 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2592 // if ( faceIt->more() && node ) {
2593 // const SMDS_MeshElement* face = faceIt->next();
2594 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2598 // sortedBaseNN.erase( u_n++ );
2602 if ( sortedBaseNN.empty() ) continue;
2604 u_n = sortedBaseNN.begin();
2605 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2607 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2608 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2609 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2610 n2 != theProxyMesh->GetProxyNode( n2 ));
2611 if ( allNodesAreProxy )
2612 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2613 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2615 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2617 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2618 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2620 if ( !sortedBaseNN.empty() )
2621 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2623 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2624 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2626 if ( sortedBaseNN.empty() ) continue;
2630 BRep_Tool::Range( *edge, f, l );
2631 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2632 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2633 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2634 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2636 double par = prevPar + coeff * ( u_n->first - f );
2637 TParam2ColumnMap::iterator u2nn =
2638 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2639 u2nn->second.push_back( u_n->second );
2642 if ( theParam2ColumnMap.size() < 2 )
2647 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2648 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2650 // fill theParam2ColumnMap column by column by passing from nodes on
2651 // theBaseEdge up via mesh faces on theFace
2653 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2654 par_nVec_2 = theParam2ColumnMap.begin();
2655 par_nVec_1 = par_nVec_2++;
2656 TIDSortedElemSet emptySet, avoidSet;
2657 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2659 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2660 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2661 nCol1.resize( prevNbRows + expectNbRows );
2662 nCol2.resize( prevNbRows + expectNbRows );
2664 int i1, i2; size_t foundNbRows = 0;
2665 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2666 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2667 // find face sharing node n1 and n2 and belonging to faceSubMesh
2668 while ( const SMDS_MeshElement* face =
2669 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2671 if ( faceSubMesh->Contains( face ))
2673 int nbNodes = face->NbCornerNodes();
2676 if ( foundNbRows + 1 > expectNbRows )
2678 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2679 n2 = face->GetNode( (i1+2) % 4 );
2680 nCol1[ prevNbRows + foundNbRows] = n1;
2681 nCol2[ prevNbRows + foundNbRows] = n2;
2684 avoidSet.insert( face );
2686 if ((size_t) foundNbRows != expectNbRows )
2690 return ( theParam2ColumnMap.size() > 1 &&
2691 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2696 //================================================================================
2698 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2700 //================================================================================
2702 bool isCornerOfStructure( const SMDS_MeshNode* n,
2703 const SMESHDS_SubMesh* faceSM,
2704 SMESH_MesherHelper& faceAnalyser )
2706 int nbFacesInSM = 0;
2708 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2709 while ( fIt->more() )
2710 nbFacesInSM += faceSM->Contains( fIt->next() );
2712 if ( nbFacesInSM == 1 )
2715 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2717 return faceAnalyser.IsRealSeam( n->getshapeId() );
2723 //=======================================================================
2724 //function : IsStructured
2725 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2726 //=======================================================================
2728 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2730 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2731 if ( !fSM || fSM->NbElements() == 0 )
2734 list< TopoDS_Edge > edges;
2735 list< int > nbEdgesInWires;
2736 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2737 edges, nbEdgesInWires );
2738 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2741 // algo: find corners of a structure and then analyze nb of faces and
2742 // length of structure sides
2744 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2745 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2746 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2748 // rotate edges to get the first node being at corner
2749 // (in principle it's not necessary because so far none SALOME algo can make
2750 // such a structured mesh that all corner nodes are not on VERTEXes)
2751 bool isCorner = false;
2752 int nbRemainEdges = nbEdgesInWires.front();
2754 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2755 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2758 edges.splice( edges.end(), edges, edges.begin() );
2762 while ( !isCorner && nbRemainEdges > 0 );
2767 // get all nodes from EDGEs
2768 list< const SMDS_MeshNode* > nodes;
2769 list< TopoDS_Edge >::iterator edge = edges.begin();
2770 for ( ; edge != edges.end(); ++edge )
2772 map< double, const SMDS_MeshNode* > u2Nodes;
2773 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2774 /*skipMedium=*/true, u2Nodes ))
2777 list< const SMDS_MeshNode* > edgeNodes;
2778 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2779 for ( ; u2n != u2Nodes.end(); ++u2n )
2780 edgeNodes.push_back( u2n->second );
2781 if ( edge->Orientation() == TopAbs_REVERSED )
2782 edgeNodes.reverse();
2784 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2785 edgeNodes.pop_front();
2786 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2789 // get length of structured sides
2790 vector<int> nbEdgesInSide;
2792 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2793 for ( ; n != nodes.end(); ++n )
2796 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2797 nbEdgesInSide.push_back( nbEdges );
2803 if ( nbEdgesInSide.size() != 4 )
2805 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2807 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2809 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2815 //=======================================================================
2816 //function : IsDistorted2D
2817 //purpose : Return true if 2D mesh on FACE is ditorted
2818 //=======================================================================
2820 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2823 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2826 bool haveBadFaces = false;
2828 SMESH_MesherHelper helper( *faceSM->GetFather() );
2829 helper.SetSubShape( faceSM->GetSubShape() );
2831 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2832 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2833 if ( !smDS || smDS->NbElements() == 0 ) return false;
2835 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2836 double prevArea = 0;
2837 vector< const SMDS_MeshNode* > nodes;
2839 bool* toCheckUV = checkUV ? & checkUV : 0;
2840 while ( faceIt->more() && !haveBadFaces )
2842 const SMDS_MeshElement* face = faceIt->next();
2845 nodes.resize( face->NbCornerNodes() );
2846 SMDS_MeshElement::iterator n = face->begin_nodes();
2847 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2850 // avoid elems on degenarate shapes as UV on them can be wrong
2851 if ( helper.HasDegeneratedEdges() )
2853 bool isOnDegen = false;
2854 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2855 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2859 // prepare to getting UVs
2860 const SMDS_MeshNode* inFaceNode = 0;
2861 if ( helper.HasSeam() ) {
2862 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2863 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2864 inFaceNode = nodes[ i ];
2869 uv.resize( nodes.size() );
2870 for ( size_t i = 0; i < nodes.size(); ++i )
2871 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2873 // compare orientation of triangles
2874 double faceArea = 0;
2875 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2877 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2878 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2879 faceArea += v2 ^ v1;
2881 haveBadFaces = ( faceArea * prevArea < 0 );
2882 prevArea = faceArea;
2885 return haveBadFaces;
2888 //================================================================================
2890 * \brief Find out elements orientation on a geometrical face
2891 * \param theFace - The face correctly oriented in the shape being meshed
2892 * \retval bool - true if the face normal and the normal of first element
2893 * in the correspoding submesh point in different directions
2895 //================================================================================
2897 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2899 if ( theFace.IsNull() )
2902 // find out orientation of a meshed face
2903 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2904 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2905 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2907 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2908 if ( !aSubMeshDSFace )
2911 // find an element on a bounday of theFace
2912 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2913 const SMDS_MeshNode* nn[2];
2914 while ( iteratorElem->more() ) // loop on elements on theFace
2916 const SMDS_MeshElement* elem = iteratorElem->next();
2917 if ( ! elem ) continue;
2919 // look for 2 nodes on EDGE
2920 int nbNodes = elem->NbCornerNodes();
2921 nn[0] = elem->GetNode( nbNodes-1 );
2922 for ( int iN = 0; iN < nbNodes; ++iN )
2924 nn[1] = elem->GetNode( iN );
2925 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2926 nn[1]->GetPosition()->GetDim() < 2 )
2928 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2929 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2930 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2931 if ( !E.IsNull() && !s0.IsSame( s1 ))
2935 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2936 if ( E.IsSame( exp.Current() )) {
2938 E = exp.Current(); // to know orientation
2943 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2944 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2945 // check that the 2 nodes are connected with a segment (IPAL53055)
2946 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
2947 if ( sm->NbElements() > 0 && !GetMeshDS()->FindEdge( nn[0], nn[1] ))
2951 isReversed = ( u0 > u1 );
2952 if ( E.Orientation() == TopAbs_REVERSED )
2953 isReversed = !isReversed;
2963 // find an element with a good normal
2965 bool normalOK = false;
2967 iteratorElem = aSubMeshDSFace->GetElements();
2968 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2970 const SMDS_MeshElement* elem = iteratorElem->next();
2971 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2975 // get UV of a node inside theFACE
2976 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2977 const SMDS_MeshNode* nInFace = 0;
2978 int iPosDim = SMDS_TOP_VERTEX;
2979 while ( nodesIt->more() ) // loop on nodes
2981 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2982 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2985 iPosDim = n->GetPosition()->GetTypeOfPosition();
2988 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2993 // face normal at node position
2994 TopLoc_Location loc;
2995 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2996 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2997 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2998 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
3001 gp_Vec d1u, d1v; gp_Pnt p;
3002 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
3003 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
3005 if ( theFace.Orientation() == TopAbs_REVERSED )
3008 return Ne * Nf < 0.;
3011 //=======================================================================
3013 //purpose : Count nb of sub-shapes
3014 //=======================================================================
3016 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
3017 const TopAbs_ShapeEnum type,
3018 const bool ignoreSame)
3021 TopTools_IndexedMapOfShape map;
3022 TopExp::MapShapes( shape, type, map );
3023 return map.Extent();
3027 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
3033 //=======================================================================
3034 //function : NbAncestors
3035 //purpose : Return number of unique ancestors of the shape
3036 //=======================================================================
3038 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3039 const SMESH_Mesh& mesh,
3040 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3042 TopTools_MapOfShape ancestors;
3043 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3044 for ( ; ansIt.More(); ansIt.Next() ) {
3045 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3046 ancestors.Add( ansIt.Value() );
3048 return ancestors.Extent();
3051 //=======================================================================
3052 //function : GetSubShapeOri
3053 //purpose : Return orientation of sub-shape in the main shape
3054 //=======================================================================
3056 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3057 const TopoDS_Shape& subShape)
3059 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3060 if ( !shape.IsNull() && !subShape.IsNull() )
3062 TopExp_Explorer e( shape, subShape.ShapeType() );
3063 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3064 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3065 for ( ; e.More(); e.Next())
3066 if ( subShape.IsSame( e.Current() ))
3069 ori = e.Current().Orientation();
3074 //=======================================================================
3075 //function : IsSubShape
3077 //=======================================================================
3079 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3080 const TopoDS_Shape& mainShape )
3082 if ( !shape.IsNull() && !mainShape.IsNull() )
3084 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3087 if ( shape.IsSame( exp.Current() ))
3093 //=======================================================================
3094 //function : IsSubShape
3096 //=======================================================================
3098 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3100 if ( shape.IsNull() || !aMesh )
3103 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3105 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3108 //=======================================================================
3109 //function : IsBlock
3111 //=======================================================================
3113 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3115 if ( shape.IsNull() )
3119 TopExp_Explorer exp( shape, TopAbs_SHELL );
3120 if ( !exp.More() ) return false;
3121 shell = TopoDS::Shell( exp.Current() );
3122 if ( exp.Next(), exp.More() ) return false;
3125 TopTools_IndexedMapOfOrientedShape map;
3126 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3130 //================================================================================
3132 * \brief Return maximal tolerance of shape
3134 //================================================================================
3136 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3138 double tol = Precision::Confusion();
3139 TopExp_Explorer exp;
3140 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3141 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3142 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3143 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3144 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3145 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3150 //================================================================================
3152 * \brief Return MaxTolerance( face ), probably cached
3154 //================================================================================
3156 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3158 int faceID = GetMeshDS()->ShapeToIndex( face );
3160 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3161 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3163 tol = MaxTolerance( face );
3168 //================================================================================
3170 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3171 * of the FACE normal
3172 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3173 * 1e100 in case of failure
3174 * \waring Care about order of the EDGEs and their orientation to be as they are
3175 * within the FACE! Don't pass degenerated EDGEs neither!
3177 //================================================================================
3179 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3180 const TopoDS_Edge & theE2,
3181 const TopoDS_Face & theFace,
3182 const TopoDS_Vertex & theCommonV,
3183 gp_Vec* theFaceNormal)
3185 double angle = 1e100;
3189 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3190 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3191 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3192 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3193 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3194 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3195 if ( c1.IsNull() || c2.IsNull() )
3197 gp_XY uv = c2d1->Value( p1 ).XY();
3198 gp_Vec du, dv; gp_Pnt p;
3199 surf->D1( uv.X(), uv.Y(), p, du, dv );
3200 gp_Vec vec1, vec2, vecRef = du ^ dv;
3203 while ( vecRef.SquareMagnitude() < 1e-25 )
3205 double dp = ( l - f ) / 1000.;
3206 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3207 uv = c2d1->Value( p1tmp ).XY();
3208 surf->D1( uv.X(), uv.Y(), p, du, dv );
3210 if ( ++nbLoops > 10 )
3213 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3218 if ( theFace.Orientation() == TopAbs_REVERSED )
3220 if ( theFaceNormal ) *theFaceNormal = vecRef;
3222 c1->D1( p1, p, vec1 );
3223 c2->D1( p2, p, vec2 );
3224 // TopoDS_Face F = theFace;
3225 // if ( F.Orientation() == TopAbs_INTERNAL )
3226 // F.Orientation( TopAbs_FORWARD );
3227 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3229 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3231 angle = vec1.AngleWithRef( vec2, vecRef );
3233 if ( Abs ( angle ) >= 0.99 * M_PI )
3235 BRep_Tool::Range( theE1, f, l );
3236 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3237 c1->D1( p1, p, vec1 );
3238 if ( theE1.Orientation() == TopAbs_REVERSED )
3240 BRep_Tool::Range( theE2, f, l );
3241 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3242 c2->D1( p2, p, vec2 );
3243 if ( theE2.Orientation() == TopAbs_REVERSED )
3245 angle = vec1.AngleWithRef( vec2, vecRef );
3254 //================================================================================
3256 * \brief Check if the first and last vertices of an edge are the same
3257 * \param anEdge - the edge to check
3258 * \retval bool - true if same
3260 //================================================================================
3262 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3264 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3265 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3266 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3269 //================================================================================
3271 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3272 * in the case of INTERNAL edge
3274 //================================================================================
3276 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3280 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3281 anEdge.Orientation( TopAbs_FORWARD );
3283 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3284 TopoDS_Iterator vIt( anEdge, CumOri );
3285 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3288 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3291 //================================================================================
3293 * \brief Return type of shape contained in a group
3294 * \param group - a shape of type TopAbs_COMPOUND
3295 * \param avoidCompound - not to return TopAbs_COMPOUND
3297 //================================================================================
3299 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3300 const bool avoidCompound)
3302 if ( !group.IsNull() )
3304 if ( group.ShapeType() != TopAbs_COMPOUND )
3305 return group.ShapeType();
3307 // iterate on a compound
3308 TopoDS_Iterator it( group );
3310 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3312 return TopAbs_SHAPE;
3315 //================================================================================
3317 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3318 * \param [in] hyp - the hypothesis
3319 * \param [in] shape - the shape, for meshing which the \a hyp is used
3320 * \param [in] mesh - the mesh
3321 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3323 //================================================================================
3325 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3326 const TopoDS_Shape& shape,
3329 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3330 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3332 TopoDS_Shape shapeOfHyp;
3333 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3337 //=======================================================================
3338 //function : IsQuadraticMesh
3339 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3340 // quadratic elements will be created.
3341 // Used then generated 3D mesh without geometry.
3342 //=======================================================================
3344 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3346 int NbAllEdgsAndFaces=0;
3347 int NbQuadFacesAndEdgs=0;
3348 int NbFacesAndEdges=0;
3349 //All faces and edges
3350 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3351 if ( NbAllEdgsAndFaces == 0 )
3352 return SMESH_MesherHelper::LINEAR;
3354 //Quadratic faces and edges
3355 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3357 //Linear faces and edges
3358 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3360 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3362 return SMESH_MesherHelper::QUADRATIC;
3364 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3366 return SMESH_MesherHelper::LINEAR;
3369 //Mesh with both type of elements
3370 return SMESH_MesherHelper::COMP;
3373 //=======================================================================
3374 //function : GetOtherParam
3375 //purpose : Return an alternative parameter for a node on seam
3376 //=======================================================================
3378 double SMESH_MesherHelper::GetOtherParam(const double param) const
3380 int i = myParIndex & U_periodic ? 0 : 1;
3381 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3386 //=======================================================================
3388 * \brief Iterator on ancestors of the given type
3390 //=======================================================================
3392 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3394 TopTools_ListIteratorOfListOfShape _ancIter;
3395 TopAbs_ShapeEnum _type;
3396 TopTools_MapOfShape _encountered;
3397 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3398 : _ancIter( ancestors ), _type( type )
3400 if ( _ancIter.More() ) {
3401 if ( _ancIter.Value().ShapeType() != _type ) next();
3402 else _encountered.Add( _ancIter.Value() );
3407 return _ancIter.More();
3409 virtual const TopoDS_Shape* next()
3411 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3412 if ( _ancIter.More() )
3413 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3414 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3422 //=======================================================================
3424 * \brief Return iterator on ancestors of the given type
3426 //=======================================================================
3428 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3429 const SMESH_Mesh& mesh,
3430 TopAbs_ShapeEnum ancestorType)
3432 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3435 //=======================================================================
3436 //function : GetCommonAncestor
3437 //purpose : Find a common ancestors of two shapes of the given type
3438 //=======================================================================
3440 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3441 const TopoDS_Shape& shape2,
3442 const SMESH_Mesh& mesh,
3443 TopAbs_ShapeEnum ancestorType)
3445 TopoDS_Shape commonAnc;
3446 if ( !shape1.IsNull() && !shape2.IsNull() )
3448 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3450 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3453 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3454 while ( const TopoDS_Shape* anc = ancIt->next() )
3455 if ( IsSubShape( shape2, *anc ))
3464 //#include <Perf_Meter.hxx>
3466 //=======================================================================
3467 namespace { // Structures used by FixQuadraticElements()
3468 //=======================================================================
3470 #define __DMP__(txt) \
3472 #define MSG(txt) __DMP__(txt<<endl)
3473 #define MSGBEG(txt) __DMP__(txt)
3475 //const double straightTol2 = 1e-33; // to detect straing links
3476 bool isStraightLink(double linkLen2, double middleNodeMove2)
3478 // straight if <node move> < 1/15 * <link length>
3479 return middleNodeMove2 < 1/15./15. * linkLen2;
3483 // ---------------------------------------
3485 * \brief Quadratic link knowing its faces
3487 struct QLink: public SMESH_TLink
3489 const SMDS_MeshNode* _mediumNode;
3490 mutable vector<const QFace* > _faces;
3491 mutable gp_Vec _nodeMove;
3492 mutable int _nbMoves;
3493 mutable bool _is2dFixed; // is moved along surface or in 3D
3495 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3496 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3498 _nodeMove = MediumPnt() - MiddlePnt();
3499 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3501 void SetContinuesFaces() const;
3502 const QFace* GetContinuesFace( const QFace* face ) const;
3503 bool OnBoundary() const;
3504 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3505 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3507 SMDS_TypeOfPosition MediumPos() const
3508 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3509 SMDS_TypeOfPosition EndPos(bool isSecond) const
3510 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3511 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3512 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3514 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3515 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3516 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3517 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3518 bool IsFixedOnSurface() const { return _is2dFixed; }
3519 bool IsStraight() const
3520 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3521 _nodeMove.SquareMagnitude());
3523 bool operator<(const QLink& other) const {
3524 return (node1()->GetID() == other.node1()->GetID() ?
3525 node2()->GetID() < other.node2()->GetID() :
3526 node1()->GetID() < other.node1()->GetID());
3528 // struct PtrComparator {
3529 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3532 // ---------------------------------------------------------
3534 * \brief Link in the chain of links; it connects two faces
3538 const QLink* _qlink;
3539 mutable const QFace* _qfaces[2];
3541 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3542 _qfaces[0] = _qfaces[1] = 0;
3544 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3546 bool IsBoundary() const { return !_qfaces[1]; }
3548 void RemoveFace( const QFace* face ) const
3549 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3551 const QFace* NextFace( const QFace* f ) const
3552 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3554 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3555 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3557 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3559 operator bool() const { return (_qlink); }
3561 const QLink* operator->() const { return _qlink; }
3563 gp_Vec Normal() const;
3565 bool IsStraight() const;
3567 // --------------------------------------------------------------------
3568 typedef list< TChainLink > TChain;
3569 typedef set < TChainLink > TLinkSet;
3570 typedef TLinkSet::const_iterator TLinkInSet;
3572 const int theFirstStep = 5;
3574 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3575 // --------------------------------------------------------------------
3577 * \brief Quadratic face shared by two volumes and bound by QLinks
3579 struct QFace: public TIDSortedNodeSet
3581 mutable const SMDS_MeshElement* _volumes[2];
3582 mutable vector< const QLink* > _sides;
3583 mutable bool _sideIsAdded[4]; // added in chain of links
3586 mutable const SMDS_MeshElement* _face;
3589 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3591 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3593 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3595 void AddSelfToLinks() const {
3596 for ( size_t i = 0; i < _sides.size(); ++i )
3597 _sides[i]->_faces.push_back( this );
3599 int LinkIndex( const QLink* side ) const {
3600 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3603 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3605 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3607 int i = LinkIndex( link._qlink );
3608 if ( i < 0 ) return true;
3609 _sideIsAdded[i] = true;
3610 link.SetFace( this );
3611 // continue from opposite link
3612 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3614 bool IsBoundary() const { return !_volumes[1]; }
3616 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3618 bool IsSpoiled(const QLink* bentLink ) const;
3620 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3621 const TChainLink& avoidLink,
3622 TLinkInSet * notBoundaryLink = 0,
3623 const SMDS_MeshNode* nodeToContain = 0,
3624 bool * isAdjacentUsed = 0,
3625 int nbRecursionsLeft = -1) const;
3627 TLinkInSet GetLinkByNode( const TLinkSet& links,
3628 const TChainLink& avoidLink,
3629 const SMDS_MeshNode* nodeToContain) const;
3631 const SMDS_MeshNode* GetNodeInFace() const {
3632 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3633 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3637 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3639 double MoveByBoundary( const TChainLink& theLink,
3640 const gp_Vec& theRefVec,
3641 const TLinkSet& theLinks,
3642 SMESH_MesherHelper* theFaceHelper=0,
3643 const double thePrevLen=0,
3644 const int theStep=theFirstStep,
3645 gp_Vec* theLinkNorm=0,
3646 double theSign=1.0) const;
3649 //================================================================================
3651 * \brief Dump QLink and QFace
3653 ostream& operator << (ostream& out, const QLink& l)
3655 out <<"QLink nodes: "
3656 << l.node1()->GetID() << " - "
3657 << l._mediumNode->GetID() << " - "
3658 << l.node2()->GetID() << endl;
3661 ostream& operator << (ostream& out, const QFace& f)
3663 out <<"QFace nodes: "/*<< &f << " "*/;
3664 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3665 out << (*n)->GetID() << " ";
3666 out << " \tvolumes: "
3667 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3668 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3669 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3673 //================================================================================
3675 * \brief Construct QFace from QLinks
3677 //================================================================================
3679 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3681 _volumes[0] = _volumes[1] = 0;
3683 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3684 _normal.SetCoord(0,0,0);
3685 for ( size_t i = 1; i < _sides.size(); ++i ) {
3686 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3687 insert( l1->node1() ); insert( l1->node2() );
3689 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3690 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3691 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3695 double normSqSize = _normal.SquareMagnitude();
3696 if ( normSqSize > numeric_limits<double>::min() )
3697 _normal /= sqrt( normSqSize );
3699 _normal.SetCoord(1e-33,0,0);
3705 //================================================================================
3707 * \brief Make up a chain of links
3708 * \param iSide - link to add first
3709 * \param chain - chain to fill in
3710 * \param pos - postion of medium nodes the links should have
3711 * \param error - out, specifies what is wrong
3712 * \retval bool - false if valid chain can't be built; "valid" means that links
3713 * of the chain belongs to rectangles bounding hexahedrons
3715 //================================================================================
3717 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3719 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3721 if ( _sideIsAdded[ iSide ]) // already in chain
3724 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3727 list< const QFace* > faces( 1, this );
3728 while ( !faces.empty() ) {
3729 const QFace* face = faces.front();
3730 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3731 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3732 face->_sideIsAdded[i] = true;
3733 // find a face side in the chain
3734 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3735 // TChain::iterator chLink = chain.begin();
3736 // for ( ; chLink != chain.end(); ++chLink )
3737 // if ( chLink->_qlink == face->_sides[i] )
3739 // if ( chLink == chain.end() )
3740 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3741 // add a face to a chained link and put a continues face in the queue
3742 chLink->SetFace( face );
3743 if ( face->_sides[i]->MediumPos() == pos )
3744 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3745 if ( contFace->_sides.size() == 3 )
3746 faces.push_back( contFace );
3751 if ( error < ERR_TRI )
3753 chain.insert( chain.end(), links.begin(),links.end() );
3756 _sideIsAdded[iSide] = true; // not to add this link to chain again
3757 const QLink* link = _sides[iSide];
3761 // add link into chain
3762 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3763 chLink->SetFace( this );
3766 // propagate from a quadrangle to neighbour faces
3767 if ( link->MediumPos() >= pos ) {
3768 int nbLinkFaces = link->_faces.size();
3769 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3770 // hexahedral mesh or boundary quadrangles - goto a continous face
3771 if ( const QFace* f = link->GetContinuesFace( this ))
3772 if ( f->_sides.size() == 4 )
3773 return f->GetLinkChain( *chLink, chain, pos, error );
3776 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3777 for ( int i = 0; i < nbLinkFaces; ++i )
3778 if ( link->_faces[i] )
3779 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3780 if ( error < ERR_PRISM )
3788 //================================================================================
3790 * \brief Return a boundary link of the triangle face
3791 * \param links - set of all links
3792 * \param avoidLink - link not to return
3793 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3794 * \param nodeToContain - node the returned link must contain; if provided, search
3795 * also performed on adjacent faces
3796 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3797 * \param nbRecursionsLeft - to limit recursion
3799 //================================================================================
3801 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3802 const TChainLink& avoidLink,
3803 TLinkInSet * notBoundaryLink,
3804 const SMDS_MeshNode* nodeToContain,
3805 bool * isAdjacentUsed,
3806 int nbRecursionsLeft) const
3808 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3810 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3811 TFaceLinkList adjacentFaces;
3813 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3815 if ( avoidLink._qlink == _sides[iL] )
3817 TLinkInSet link = links.find( _sides[iL] );
3818 if ( link == linksEnd ) continue;
3819 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3820 continue; // We work on faces here, don't go inside a solid
3823 if ( link->IsBoundary() ) {
3824 if ( !nodeToContain ||
3825 (*link)->node1() == nodeToContain ||
3826 (*link)->node2() == nodeToContain )
3828 boundaryLink = link;
3829 if ( !notBoundaryLink ) break;
3832 else if ( notBoundaryLink ) {
3833 *notBoundaryLink = link;
3834 if ( boundaryLink != linksEnd ) break;
3837 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3838 if ( const QFace* adj = link->NextFace( this ))
3839 if ( adj->Contains( nodeToContain ))
3840 adjacentFaces.push_back( make_pair( adj, link ));
3843 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3844 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3846 if ( nbRecursionsLeft < 0 )
3847 nbRecursionsLeft = nodeToContain->NbInverseElements();
3848 TFaceLinkList::iterator adj = adjacentFaces.begin();
3849 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3850 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3851 isAdjacentUsed, nbRecursionsLeft-1);
3852 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3854 return boundaryLink;
3856 //================================================================================
3858 * \brief Return a link ending at the given node but not avoidLink
3860 //================================================================================
3862 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3863 const TChainLink& avoidLink,
3864 const SMDS_MeshNode* nodeToContain) const
3866 for ( size_t i = 0; i < _sides.size(); ++i )
3867 if ( avoidLink._qlink != _sides[i] &&
3868 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3869 return links.find( _sides[i] );
3873 //================================================================================
3875 * \brief Return normal to the i-th side pointing outside the face
3877 //================================================================================
3879 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3881 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3882 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3883 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3884 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3886 if ( norm * vecOut < 0 )
3888 double mag2 = norm.SquareMagnitude();
3889 if ( mag2 > numeric_limits<double>::min() )
3890 norm /= sqrt( mag2 );
3893 //================================================================================
3895 * \brief Move medium node of theLink according to its distance from boundary
3896 * \param theLink - link to fix
3897 * \param theRefVec - movement of boundary
3898 * \param theLinks - all adjacent links of continous triangles
3899 * \param theFaceHelper - helper is not used so far
3900 * \param thePrevLen - distance from the boundary
3901 * \param theStep - number of steps till movement propagation limit
3902 * \param theLinkNorm - out normal to theLink
3903 * \param theSign - 1 or -1 depending on movement of boundary
3904 * \retval double - distance from boundary to propagation limit or other boundary
3906 //================================================================================
3908 double QFace::MoveByBoundary( const TChainLink& theLink,
3909 const gp_Vec& theRefVec,
3910 const TLinkSet& theLinks,
3911 SMESH_MesherHelper* theFaceHelper,
3912 const double thePrevLen,
3914 gp_Vec* theLinkNorm,
3915 double theSign) const
3918 return thePrevLen; // propagation limit reached
3920 size_t iL; // index of theLink
3921 for ( iL = 0; iL < _sides.size(); ++iL )
3922 if ( theLink._qlink == _sides[ iL ])
3925 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3926 <<" thePrevLen " << thePrevLen);
3927 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3929 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3930 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3931 if ( theStep == theFirstStep )
3932 theSign = refProj < 0. ? -1. : 1.;
3933 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3934 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3936 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3937 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3938 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3940 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3941 bool isBndLink1 = true, isBndLink2 = true;
3942 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3944 f1 = link1->NextFace( this );
3945 f2 = link2->NextFace( this );
3947 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3948 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3949 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3951 if ( !isBndLink1 && !f1 )
3952 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3953 if ( !isBndLink2 && !f2 )
3954 f2 = (*link2)->GetContinuesFace( this );
3957 else if ( _sides.size() < 4 )
3960 // propagate to adjacent faces till limit step or boundary
3961 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3962 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3963 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3964 gp_Vec linkDir2(0,0,0);
3967 if ( f1 && !isBndLink1 )
3968 len1 = f1->MoveByBoundary
3969 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3971 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3973 MSG( " --------------- EXCEPTION");
3978 if ( f2 && !isBndLink2 )
3979 len2 = f2->MoveByBoundary
3980 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3982 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3984 MSG( " --------------- EXCEPTION");
3989 if ( theStep != theFirstStep )
3991 // choose chain length by direction of propagation most codirected with theRefVec
3992 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3993 fullLen = choose1 ? len1 : len2;
3994 double r = thePrevLen / fullLen;
3996 gp_Vec move = linkNorm * refProj * ( 1 - r );
3997 theLink->Move( move, /*sum=*/true );
3999 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
4000 " by " << refProj * ( 1 - r ) << " following " <<
4001 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
4003 if ( theLinkNorm ) *theLinkNorm = linkNorm;
4008 //================================================================================
4010 * \brief Checks if the face is distorted due to bentLink
4012 //================================================================================
4014 bool QFace::IsSpoiled(const QLink* bentLink ) const
4016 // code is valid for convex faces only
4018 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
4019 gc += XYZ( *n ) / size();
4020 for (unsigned i = 0; i < _sides.size(); ++i )
4022 if ( _sides[i] == bentLink ) continue;
4023 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4024 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
4025 if ( linkNorm * vecOut < 0 )
4027 double mag2 = linkNorm.SquareMagnitude();
4028 if ( mag2 > numeric_limits<double>::min() )
4029 linkNorm /= sqrt( mag2 );
4030 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
4031 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
4032 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4039 //================================================================================
4041 * \brief Find pairs of continues faces
4043 //================================================================================
4045 void QLink::SetContinuesFaces() const
4047 // x0 x - QLink, [-|] - QFace, v - volume
4049 // | Between _faces of link x2 two vertical faces are continues
4050 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4051 // | to _faces[0] and _faces[1] and horizontal faces to
4052 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
4055 if ( _faces.empty() )
4057 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4058 if ( _faces[0]->IsBoundary() )
4059 iBoundary[ nbBoundary++ ] = 0;
4060 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4062 // look for a face bounding none of volumes bound by _faces[0]
4063 bool sameVol = false;
4064 int nbVol = _faces[iF]->NbVolumes();
4065 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4066 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4067 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4070 if ( _faces[iF]->IsBoundary() )
4071 iBoundary[ nbBoundary++ ] = iF;
4073 // Set continues faces: arrange _faces to have
4074 // _faces[0] continues to _faces[1]
4075 // _faces[2] continues to _faces[3]
4076 if ( nbBoundary == 2 ) // bnd faces are continues
4078 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4080 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4081 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4084 else if ( iFaceCont > 0 ) // continues faces found
4086 if ( iFaceCont != 1 )
4087 std::swap( _faces[1], _faces[iFaceCont] );
4089 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4091 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4094 //================================================================================
4096 * \brief Return a face continues to the given one
4098 //================================================================================
4100 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4102 if ( _faces.size() <= 4 )
4103 for ( size_t i = 0; i < _faces.size(); ++i ) {
4104 if ( _faces[i] == face ) {
4105 int iF = i < 2 ? 1-i : 5-i;
4106 return iF < (int)_faces.size() ? _faces[iF] : 0;
4111 //================================================================================
4113 * \brief True if link is on mesh boundary
4115 //================================================================================
4117 bool QLink::OnBoundary() const
4119 for ( size_t i = 0; i < _faces.size(); ++i )
4120 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4123 //================================================================================
4125 * \brief Return normal of link of the chain
4127 //================================================================================
4129 gp_Vec TChainLink::Normal() const {
4131 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4132 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4135 //================================================================================
4137 * \brief Test link curvature taking into account size of faces
4139 //================================================================================
4141 bool TChainLink::IsStraight() const
4143 bool isStraight = _qlink->IsStraight();
4144 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4146 int i = _qfaces[0]->LinkIndex( _qlink );
4147 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4148 gp_XYZ mid1 = _qlink->MiddlePnt();
4149 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4150 double faceSize2 = (mid1-mid2).SquareModulus();
4151 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4156 //================================================================================
4158 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4160 //================================================================================
4162 void fixPrism( TChain& allLinks )
4164 // separate boundary links from internal ones
4165 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4166 QLinkSet interLinks, bndLinks1, bndLink2;
4168 bool isCurved = false;
4169 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4170 if ( (*lnk)->OnBoundary() )
4171 bndLinks1.insert( lnk->_qlink );
4173 interLinks.insert( lnk->_qlink );
4174 isCurved = isCurved || !lnk->IsStraight();
4177 return; // no need to move
4179 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4181 while ( !interLinks.empty() && !curBndLinks->empty() )
4183 // propagate movement from boundary links to connected internal links
4184 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4185 for ( ; bnd != bndEnd; ++bnd )
4187 const QLink* bndLink = *bnd;
4188 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4190 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4191 if ( !face ) continue;
4192 // find and move internal link opposite to bndLink within the face
4193 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4194 const QLink* interLink = face->_sides[ interInd ];
4195 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4196 if ( pInterLink == interLinks.end() ) continue; // not internal link
4197 interLink->Move( bndLink->_nodeMove );
4198 // treated internal links become new boundary ones
4199 interLinks.erase( pInterLink );
4200 newBndLinks->insert( interLink );
4203 curBndLinks->clear();
4204 std::swap( curBndLinks, newBndLinks );
4208 //================================================================================
4210 * \brief Fix links of continues triangles near curved boundary
4212 //================================================================================
4214 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4216 if ( allLinks.empty() ) return;
4218 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4219 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4221 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4223 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4225 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4226 const QFace* face = linkIt->_qfaces[0];
4227 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4228 face->_sides[1]->MiddlePnt() +
4229 face->_sides[2]->MiddlePnt() ) / 3.;
4230 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4231 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4232 //if ( face->IsSpoiled( linkIt->_qlink ))
4233 if ( linkBentInside )
4234 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4239 //================================================================================
4241 * \brief Detect rectangular structure of links and build chains from them
4243 //================================================================================
4245 enum TSplitTriaResult {
4246 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4247 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4249 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4250 vector< TChain> & resultChains,
4251 SMDS_TypeOfPosition pos )
4253 // put links in the set and evalute number of result chains by number of boundary links
4255 size_t nbBndLinks = 0;
4256 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4257 linkSet.insert( *lnk );
4258 nbBndLinks += lnk->IsBoundary();
4260 resultChains.clear();
4261 resultChains.reserve( nbBndLinks / 2 );
4263 TLinkInSet linkIt, linksEnd = linkSet.end();
4265 // find a boundary link with corner node; corner node has position pos-2
4266 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4268 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4269 const SMDS_MeshNode* corner = 0;
4270 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4271 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4276 TLinkInSet startLink = linkIt;
4277 const SMDS_MeshNode* startCorner = corner;
4278 vector< TChain* > rowChains;
4281 while ( startLink != linksEnd) // loop on columns
4283 // We suppose we have a rectangular structure like shown here. We have found a
4284 // corner of the rectangle (startCorner) and a boundary link sharing
4285 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4286 // --o---o---o structure making several chains at once. One chain (columnChain)
4287 // |\ | /| starts at startLink and continues upward (we look at the structure
4288 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4289 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4290 // --o---o---o encounter.
4292 // / | \ | \ | startCorner
4297 if ( resultChains.size() == nbBndLinks / 2 )
4299 resultChains.push_back( TChain() );
4300 TChain& columnChain = resultChains.back();
4302 TLinkInSet botLink = startLink; // current horizontal link to go up from
4303 corner = startCorner; // current corner the botLink ends at
4305 while ( botLink != linksEnd ) // loop on rows
4307 // add botLink to the columnChain
4308 columnChain.push_back( *botLink );
4310 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4312 { // the column ends
4313 if ( botLink == startLink )
4314 return _TWISTED_CHAIN; // issue 0020951
4315 linkSet.erase( botLink );
4316 if ( iRow != rowChains.size() )
4317 return _FEW_ROWS; // different nb of rows in columns
4320 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4321 // link ending at <corner> (sideLink); there are two cases:
4322 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4323 // since midQuadLink is not at boundary while sideLink is.
4324 // 2) midQuadLink ends at <corner>
4326 TLinkInSet midQuadLink = linksEnd;
4327 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4329 if ( isCase2 ) { // find midQuadLink among links of botTria
4330 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4331 if ( midQuadLink->IsBoundary() )
4332 return _BAD_MIDQUAD;
4334 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4335 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4338 columnChain.push_back( *midQuadLink );
4339 if ( iRow >= rowChains.size() ) {
4341 return _MANY_ROWS; // different nb of rows in columns
4342 if ( resultChains.size() == nbBndLinks / 2 )
4344 resultChains.push_back( TChain() );
4345 rowChains.push_back( & resultChains.back() );
4347 rowChains[iRow]->push_back( *sideLink );
4348 rowChains[iRow]->push_back( *midQuadLink );
4350 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4354 // prepare startCorner and startLink for the next column
4355 startCorner = startLink->NextNode( startCorner );
4357 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4359 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4360 // check if no more columns remains
4361 if ( startLink != linksEnd ) {
4362 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4363 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4364 startLink = linksEnd; // startLink bounds upTria or botTria
4365 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4369 // find bottom link and corner for the next row
4370 corner = sideLink->NextNode( corner );
4371 // next bottom link ends at the new corner
4372 linkSet.erase( botLink );
4373 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4374 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4376 if ( midQuadLink == startLink || sideLink == startLink )
4377 return _TWISTED_CHAIN; // issue 0020951
4378 linkSet.erase( midQuadLink );
4379 linkSet.erase( sideLink );
4381 // make faces neighboring the found ones be boundary
4382 if ( startLink != linksEnd ) {
4383 const QFace* tria = isCase2 ? botTria : upTria;
4384 for ( int iL = 0; iL < 3; ++iL ) {
4385 linkIt = linkSet.find( tria->_sides[iL] );
4386 if ( linkIt != linksEnd )
4387 linkIt->RemoveFace( tria );
4390 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4391 botLink->RemoveFace( upTria ); // make next botTria first in vector
4398 // In the linkSet, there must remain the last links of rowChains; add them
4399 if ( linkSet.size() != rowChains.size() )
4400 return _BAD_SET_SIZE;
4401 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4402 // find the link (startLink) ending at startCorner
4404 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4405 if ( (*startLink)->node1() == startCorner ) {
4406 corner = (*startLink)->node2(); break;
4408 else if ( (*startLink)->node2() == startCorner) {
4409 corner = (*startLink)->node1(); break;
4412 if ( startLink == linksEnd )
4414 rowChains[ iRow ]->push_back( *startLink );
4415 linkSet.erase( startLink );
4416 startCorner = corner;
4422 //================================================================================
4424 * \brief Place medium nodes at the link middle for elements whose corner nodes
4425 * are out of geometrical boundary to prevent distorting elements.
4426 * Issue 0020982, note 0013990
4428 //================================================================================
4430 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4431 SMESH_ComputeErrorPtr& theError)
4433 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4434 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4435 if ( shape.IsNull() ) return;
4437 if ( !theError ) theError = SMESH_ComputeError::New();
4441 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4443 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4445 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4446 if ( !faceSM ) return;
4448 const TopoDS_Face& face = TopoDS::Face( shape );
4449 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4451 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4452 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4454 // check if the EDGE needs checking
4455 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4456 if ( SMESH_Algo::isDegenerated( edge ) )
4458 if ( theHelper.IsRealSeam( edge ) &&
4459 edge.Orientation() == TopAbs_REVERSED )
4462 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4463 if ( !edgeSM ) continue;
4466 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4467 BRepAdaptor_Curve curve3D( edge );
4468 switch ( curve3D.GetType() ) {
4469 case GeomAbs_Line: continue;
4470 case GeomAbs_Circle:
4471 case GeomAbs_Ellipse:
4472 case GeomAbs_Hyperbola:
4473 case GeomAbs_Parabola:
4476 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4477 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4478 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4479 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4480 gp_Vec fNorm = Du1 ^ Dv1;
4481 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4482 continue; // face is normal to the curve3D
4484 gp_Vec curvNorm = fNorm ^ D1;
4485 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4486 if ( curvNorm * D2 > 0 )
4487 continue; // convex edge
4489 catch ( Standard_Failure )
4495 // get nodes shared by faces that may be distorted
4496 SMDS_NodeIteratorPtr nodeIt;
4497 if ( edgeSM->NbNodes() > 0 ) {
4498 nodeIt = edgeSM->GetNodes();
4501 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4503 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4504 if ( !vertexSM ) continue;
4505 nodeIt = vertexSM->GetNodes();
4508 // find suspicious faces
4509 TIDSortedElemSet checkedFaces;
4510 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4511 const SMDS_MeshNode* nOnFace;
4512 while ( nodeIt->more() )
4514 const SMDS_MeshNode* n = nodeIt->next();
4515 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4516 while ( faceIt->more() )
4518 const SMDS_MeshElement* f = faceIt->next();
4519 if ( !faceSM->Contains( f ) ||
4520 f->NbNodes() < 6 || // check quadratic triangles only
4521 !checkedFaces.insert( f ).second )
4524 // get nodes on EDGE and on FACE of a suspicious face
4525 nOnEdge.clear(); nOnFace = 0;
4526 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4527 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4530 if ( n->GetPosition()->GetDim() == 2 )
4533 nOnEdge.push_back( n );
4536 // check if nOnFace is inside the FACE
4537 if ( nOnFace && nOnEdge.size() == 2 )
4539 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4540 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4542 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4543 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4544 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4545 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4546 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4547 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4548 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4549 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4550 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4552 // nOnFace is out of FACE, move a medium on-edge node to the middle
4553 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4554 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4555 MSG( "move OUT of face " << n );
4556 theError->myBadElements.push_back( f );
4562 if ( !theError->myBadElements.empty() )
4563 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4566 } // 2D ==============================================================================
4568 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4570 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4571 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4573 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4574 if ( !solidSM ) return;
4576 // check if the SOLID is bound by concave FACEs
4577 vector< TopoDS_Face > concaveFaces;
4578 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4579 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4581 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4582 if ( !meshDS->MeshElements( face )) continue;
4584 BRepAdaptor_Surface surface( face );
4585 switch ( surface.GetType() ) {
4586 case GeomAbs_Plane: continue;
4587 case GeomAbs_Cylinder:
4589 case GeomAbs_Sphere:
4592 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4593 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4594 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4595 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4596 gp_Vec fNorm = Du1 ^ Dv1;
4597 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4598 bool concaveU = ( fNorm * Du2 > 1e-100 );
4599 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4600 if ( concaveU || concaveV )
4601 concaveFaces.push_back( face );
4603 catch ( Standard_Failure )
4605 concaveFaces.push_back( face );
4610 if ( concaveFaces.empty() )
4613 // fix 2D mesh on the SOLID
4614 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4616 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4617 faceHelper.SetSubShape( faceIt.Current() );
4618 force3DOutOfBoundary( faceHelper, theError );
4621 // get an iterator over faces on concaveFaces
4622 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4623 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4624 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4625 typedef SMDS_IteratorOnIterators
4626 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4627 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4629 // a seacher to check if a volume is close to a concave face
4630 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4631 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4634 //BRepClass3d_SolidClassifier solidClassifier( shape );
4636 TIDSortedElemSet checkedVols, movedNodes;
4637 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4638 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4640 //const TopoDS_Shape& face = faceIt.Current();
4641 const TopoDS_Shape& face = concaveFaces[ iF ];
4642 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4643 if ( !faceSM ) continue;
4645 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4646 SMDS_NodeIteratorPtr nodeIt;
4647 if ( faceSM->NbNodes() > 0 ) {
4648 nodeIt = faceSM->GetNodes();
4651 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4652 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4653 if ( !vertexSM ) continue;
4654 nodeIt = vertexSM->GetNodes();
4656 // get ids of sub-shapes of the FACE
4658 SMESH_subMeshIteratorPtr smIt =
4659 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4660 while ( smIt->more() )
4661 subIDs.insert( smIt->next()->GetId() );
4663 // find suspicious volumes adjacent to the FACE
4664 vector< const SMDS_MeshNode* > nOnFace( 4 );
4665 const SMDS_MeshNode* nInSolid;
4666 while ( nodeIt->more() )
4668 const SMDS_MeshNode* n = nodeIt->next();
4669 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4670 while ( volIt->more() )
4672 const SMDS_MeshElement* vol = volIt->next();
4673 size_t nbN = vol->NbCornerNodes();
4674 if ( ( nbN != 4 && nbN != 5 ) ||
4675 !solidSM->Contains( vol ) ||
4676 !checkedVols.insert( vol ).second )
4679 // get nodes on FACE and in SOLID of a suspicious volume
4680 nOnFace.clear(); nInSolid = 0;
4681 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4682 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4685 if ( n->GetPosition()->GetDim() == 3 )
4687 else if ( subIDs.count( n->getshapeId() ))
4688 nOnFace.push_back( n );
4692 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4695 // get size of the vol
4696 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4697 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4698 for ( size_t i = 1; i < nOnFace.size(); ++i )
4700 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4703 // check if vol is close to concaveFaces
4704 const SMDS_MeshElement* closeFace =
4705 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4707 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4710 // check if vol is distorted, i.e. a medium node is much closer
4711 // to nInSolid than the link middle
4712 bool isDistorted = false;
4713 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4714 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4716 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4717 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4718 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4719 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4721 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4722 TLinkNodeMap::const_iterator linkIt =
4723 theHelper.GetTLinkNodeMap().find( link );
4724 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4726 links.push_back( make_pair( linkIt->first, linkIt->second ));
4727 if ( !isDistorted ) {
4728 // compare projections of nInSolid and nMedium to face normal
4729 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4730 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4731 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4732 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4736 // move medium nodes to link middle
4739 for ( size_t i = 0; i < links.size(); ++i )
4741 const SMDS_MeshNode* nMedium = links[i].second;
4742 if ( movedNodes.insert( nMedium ).second )
4744 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4745 SMESH_TNodeXYZ( links[i].first.node2() ));
4746 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4747 MSG( "move OUT of solid " << nMedium );
4750 theError->myBadElements.push_back( vol );
4752 } // loop on volumes sharing a node on FACE
4753 } // loop on nodes on FACE
4754 } // loop on FACEs of a SOLID
4756 if ( !theError->myBadElements.empty() )
4757 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4763 //=======================================================================
4765 * \brief Move medium nodes of faces and volumes to fix distorted elements
4766 * \param error - container of fixed distorted elements
4767 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4769 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4771 //=======================================================================
4773 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4776 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4777 if ( getenv("NO_FixQuadraticElements") )
4780 // 0. Apply algorithm to SOLIDs or FACEs
4781 // ----------------------------------------------
4782 if ( myShape.IsNull() ) {
4783 if ( !myMesh->HasShapeToMesh() ) return;
4784 SetSubShape( myMesh->GetShapeToMesh() );
4788 TopTools_IndexedMapOfShape solids;
4789 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4790 nbSolids = solids.Extent();
4792 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4793 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4794 faces.Add( f.Current() ); // not in solid
4796 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4797 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4798 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4799 faces.Add( f.Current() ); // in not meshed solid
4801 else { // fix nodes in the solid and its faces
4803 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4805 SMESH_MesherHelper h(*myMesh);
4806 h.SetSubShape( s.Current() );
4807 h.ToFixNodeParameters(true);
4808 h.FixQuadraticElements( compError, false );
4811 // fix nodes on geom faces
4813 int nbfaces = nbSolids;
4814 nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4816 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4817 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4818 SMESH_MesherHelper h(*myMesh);
4819 h.SetSubShape( fIt.Key() );
4820 h.ToFixNodeParameters(true);
4821 h.FixQuadraticElements( compError, true);
4823 //perf_print_all_meters(1);
4824 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4825 compError->myComment = "during conversion to quadratic, "
4826 "some medium nodes were not placed on geometry to avoid distorting elements";
4830 // 1. Find out type of elements and get iterator on them
4831 // ---------------------------------------------------
4833 SMDS_ElemIteratorPtr elemIt;
4834 SMDSAbs_ElementType elemType = SMDSAbs_All;
4836 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4839 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4840 elemIt = smDS->GetElements();
4841 if ( elemIt->more() ) {
4842 elemType = elemIt->next()->GetType();
4843 elemIt = smDS->GetElements();
4846 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4849 // 2. Fill in auxiliary data structures
4850 // ----------------------------------
4854 set< QLink >::iterator pLink;
4855 set< QFace >::iterator pFace;
4857 bool isCurved = false;
4858 //bool hasRectFaces = false;
4859 //set<int> nbElemNodeSet;
4860 SMDS_VolumeTool volTool;
4862 TIDSortedNodeSet apexOfPyramid;
4863 const int apexIndex = 4;
4866 // Move medium nodes to the link middle for elements whose corner nodes
4867 // are out of geometrical boundary to fix distorted elements.
4868 force3DOutOfBoundary( *this, compError );
4870 if ( elemType == SMDSAbs_Volume )
4872 while ( elemIt->more() ) // loop on volumes
4874 const SMDS_MeshElement* vol = elemIt->next();
4875 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4877 double volMinSize2 = -1.;
4878 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4880 int nbN = volTool.NbFaceNodes( iF );
4881 //nbElemNodeSet.insert( nbN );
4882 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4883 vector< const QLink* > faceLinks( nbN/2 );
4884 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4887 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4888 pLink = links.insert( link ).first;
4889 faceLinks[ iN/2 ] = & *pLink;
4891 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4893 if ( !link.IsStraight() )
4894 return; // already fixed
4896 else if ( !isCurved )
4898 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4899 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4903 pFace = faces.insert( QFace( faceLinks )).first;
4904 if ( pFace->NbVolumes() == 0 )
4905 pFace->AddSelfToLinks();
4906 pFace->SetVolume( vol );
4907 // hasRectFaces = hasRectFaces ||
4908 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4909 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4912 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4914 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4915 faceNodes[4],faceNodes[6] );
4918 // collect pyramid apexes for further correction
4919 if ( vol->NbCornerNodes() == 5 )
4920 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4922 set< QLink >::iterator pLink = links.begin();
4923 for ( ; pLink != links.end(); ++pLink )
4924 pLink->SetContinuesFaces();
4928 while ( elemIt->more() ) // loop on faces
4930 const SMDS_MeshElement* face = elemIt->next();
4931 if ( !face->IsQuadratic() )
4933 //nbElemNodeSet.insert( face->NbNodes() );
4934 int nbN = face->NbNodes()/2;
4935 vector< const QLink* > faceLinks( nbN );
4936 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4939 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4940 pLink = links.insert( link ).first;
4941 faceLinks[ iN ] = & *pLink;
4943 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4944 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4945 isCurved = !link.IsStraight();
4948 pFace = faces.insert( QFace( faceLinks )).first;
4949 pFace->AddSelfToLinks();
4950 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4954 return; // no curved edges of faces
4956 // 3. Compute displacement of medium nodes
4957 // ---------------------------------------
4959 SMESH_MesherHelper faceHlp(*myMesh);
4961 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4962 TopLoc_Location loc;
4964 // not to treat boundary of volumic sub-mesh.
4965 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4966 for ( ; isInside < 2; ++isInside )
4968 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4969 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4970 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4972 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4973 if ( bool(isInside) == pFace->IsBoundary() )
4975 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4978 // make chain of links connected via continues faces
4981 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4983 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4985 vector< TChain > chains;
4986 if ( error == ERR_OK ) { // chain contains continues rectangles
4988 chains[0].splice( chains[0].begin(), rawChain );
4990 else if ( error == ERR_TRI ) { // chain contains continues triangles
4991 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4992 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4993 fixTriaNearBoundary( rawChain, *this );
4997 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4998 fixPrism( rawChain );
5004 for ( size_t iC = 0; iC < chains.size(); ++iC )
5006 TChain& chain = chains[iC];
5007 if ( chain.empty() ) continue;
5008 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
5009 MSG("3D straight - ignore");
5012 if ( chain.front()->MediumPos() > bndPos ||
5013 chain.back() ->MediumPos() > bndPos ) {
5014 MSG("Internal chain - ignore");
5017 // mesure chain length and compute link position along the chain
5018 double chainLen = 0;
5019 vector< double > linkPos;
5020 TChain savedChain; // backup
5021 MSGBEG( "Link medium nodes: ");
5022 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
5023 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
5024 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
5025 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5026 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
5027 if ( savedChain.empty() ) savedChain = chain;
5028 link1 = chain.erase( link1 );
5029 if ( link1 == chain.end() )
5031 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5034 linkPos.push_back( chainLen );
5037 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5042 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5044 linkPos.push_back( chainLen );
5047 gp_Vec move0 = chain.front()->_nodeMove;
5048 gp_Vec move1 = chain.back ()->_nodeMove;
5053 // compute node displacement of end links of chain in parametric space of FACE
5054 TChainLink& linkOnFace = *(++chain.begin());
5055 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5056 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5057 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5059 face = TopoDS::Face( f );
5060 faceHlp.SetSubShape( face );
5061 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5062 //bool isStraight[2]; // commented for issue 0023118
5063 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5065 TChainLink& link = is1 ? chain.back() : chain.front();
5066 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5067 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5068 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5069 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5070 // uvMove = uvm - uv12
5071 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5072 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5073 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5074 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5075 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5076 // 10 * uvMove.SquareModulus());
5078 // if ( isStraight[0] && isStraight[1] ) {
5079 // MSG("2D straight - ignore");
5080 // continue; // straight - no need to move nodes of internal links
5083 // check if a chain is already fixed
5084 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5085 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5086 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5087 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5088 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5090 MSG("Already fixed - ignore");
5096 if ( isInside || face.IsNull() )
5098 // compute node displacement of end links in their local coord systems
5100 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5101 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5102 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5103 move0.Transform(trsf);
5106 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5107 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5108 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5109 move1.Transform(trsf);
5112 // compute displacement of medium nodes
5113 link2 = chain.begin();
5116 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5118 double r = linkPos[i] / chainLen;
5119 // displacement in local coord system
5120 gp_Vec move = (1. - r) * move0 + r * move1;
5121 if ( isInside || face.IsNull()) {
5122 // transform to global
5123 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5124 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5126 gp_Vec x = x01.Normalized() + x12.Normalized();
5127 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5128 } catch ( Standard_Failure ) {
5131 move.Transform(trsf);
5132 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5135 // compute 3D displacement by 2D one
5136 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5137 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5138 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5139 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5140 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5141 if ( SMDS_FacePosition* nPos =
5142 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5143 nPos->SetParameters( newUV.X(), newUV.Y() );
5145 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5146 move.SquareMagnitude())
5148 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5149 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5150 MSG( "TOO LONG MOVE \t" <<
5151 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5152 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5153 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5154 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5155 uv0.SetX( uv2.X() ); // avoid warning: variable set but not used
5158 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5160 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5161 << chain.front()->_mediumNode->GetID() <<"-"
5162 << chain.back ()->_mediumNode->GetID() <<
5163 " by " << move.Magnitude());
5165 } // loop on chains of links
5166 } // loop on 2 directions of propagation from quadrangle
5168 } // fix faces and/or volumes
5173 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5174 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5175 myMesh->NbBiQuadTriangles() +
5176 myMesh->NbTriQuadraticHexas() );
5178 faceHlp.ToFixNodeParameters( true );
5180 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5181 if ( pLink->IsMoved() )
5183 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5185 // put on surface nodes on FACE but moved in 3D (23050)
5186 if ( !pLink->IsFixedOnSurface() )
5188 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5189 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5191 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5192 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5193 gp_XY uv( Precision::Infinite(), 0 );
5194 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5195 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5196 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5199 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5201 // collect bi-quadratic elements
5202 if ( toFixCentralNodes )
5204 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5205 while ( eIt->more() )
5207 const SMDS_MeshElement* e = eIt->next();
5208 switch( e->GetEntityType() ) {
5209 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5210 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5211 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5218 // Fix positions of central nodes of bi-tri-quadratic elements
5220 // treat bi-quad quadrangles
5222 vector< const SMDS_MeshNode* > nodes( 9 );
5224 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5225 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5227 const SMDS_MeshElement* quad = *quadIt;
5230 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5232 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5233 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5234 const TopoDS_Face& F = TopoDS::Face( S );
5235 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5236 const double tol = BRep_Tool::Tolerance( F );
5238 for ( int i = 0; i < 8; ++i )
5240 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5241 // as this method is used after mesh generation, UV of nodes is not
5242 // updated according to bending links, so we update
5243 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5244 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5246 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5247 // move the central node
5248 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5249 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5250 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5254 // treat bi-quad triangles
5256 vector< const SMDS_MeshNode* > nodes;
5258 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5259 for ( ; triIt != biQuadTris.end(); ++triIt )
5261 const SMDS_MeshElement* tria = *triIt;
5263 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5264 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5265 const TopoDS_Face& F = TopoDS::Face( S );
5266 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5267 const double tol = BRep_Tool::Tolerance( F );
5270 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5272 bool uvOK = true, badTria = false;
5273 for ( int i = 0; i < 6; ++i )
5275 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5276 // as this method is used after mesh generation, UV of nodes is not
5277 // updated according to bending links, so we update
5278 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5279 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5282 // move the central node
5284 if ( !uvOK || badTria )
5286 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5287 SMESH_TNodeXYZ( nodes[4] ) +
5288 SMESH_TNodeXYZ( nodes[5] )) / 3;
5292 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5293 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5294 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5296 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5300 // treat tri-quadratic hexahedra
5302 SMDS_VolumeTool volExp;
5303 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5304 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5306 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5308 // fix nodes central in sides
5309 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5311 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5312 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5314 gp_XYZ p = calcTFI( 0.5, 0.5,
5315 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5316 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5317 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5318 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5319 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5323 // fix the volume central node
5324 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5325 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5327 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5328 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5329 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5330 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5331 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5332 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5333 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5334 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5336 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5337 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5338 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5339 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5340 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5341 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5342 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5343 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5344 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5345 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5346 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5347 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5349 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5350 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5351 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5352 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5353 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5354 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5356 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5357 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5358 GetMeshDS()->MoveNode( hexNodes[26],
5359 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());
5363 // avoid warning: defined but not used operator<<()
5364 SMESH_Comment() << *links.begin() << *faces.begin();
5368 //================================================================================
5372 //================================================================================
5374 void SMESH_MesherHelper::WriteShape(const TopoDS_Shape& s)
5376 const char* name = "/tmp/shape.brep";
5377 BRepTools::Write( s, name );
5379 std::cout << name << std::endl;