1 // Copyright (C) 2007-2014 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESH_Block.hxx"
35 #include "SMESH_MeshAlgos.hxx"
36 #include "SMESH_ProxyMesh.hxx"
37 #include "SMESH_subMesh.hxx"
39 #include <BRepAdaptor_Curve.hxx>
40 #include <BRepAdaptor_Surface.hxx>
41 #include <BRepTools.hxx>
42 #include <BRep_Tool.hxx>
43 #include <Geom2d_Curve.hxx>
44 #include <GeomAPI_ProjectPointOnCurve.hxx>
45 #include <GeomAPI_ProjectPointOnSurf.hxx>
46 #include <Geom_Curve.hxx>
47 #include <Geom_RectangularTrimmedSurface.hxx>
48 #include <Geom_Surface.hxx>
49 #include <ShapeAnalysis.hxx>
51 #include <TopExp_Explorer.hxx>
52 #include <TopTools_ListIteratorOfListOfShape.hxx>
53 #include <TopTools_MapIteratorOfMapOfShape.hxx>
54 #include <TopTools_MapOfShape.hxx>
57 #include <gp_Pnt2d.hxx>
58 #include <gp_Trsf.hxx>
60 #include <Standard_Failure.hxx>
61 #include <Standard_ErrorHandler.hxx>
63 #include <utilities.h>
69 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
73 gp_XYZ XYZ(const SMDS_MeshNode* n) { return gp_XYZ(n->X(), n->Y(), n->Z()); }
75 enum { U_periodic = 1, V_periodic = 2 };
78 //================================================================================
82 //================================================================================
84 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
88 myCreateQuadratic(false),
89 myCreateBiQuadratic(false),
90 myFixNodeParameters(false)
92 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
93 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
96 //=======================================================================
97 //function : ~SMESH_MesherHelper
99 //=======================================================================
101 SMESH_MesherHelper::~SMESH_MesherHelper()
104 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
105 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
106 delete i_proj->second;
109 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
110 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
111 delete i_proj->second;
115 //=======================================================================
116 //function : IsQuadraticSubMesh
117 //purpose : Check submesh for given shape: if all elements on this shape
118 // are quadratic, quadratic elements will be created.
119 // Also fill myTLinkNodeMap
120 //=======================================================================
122 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
124 SMESHDS_Mesh* meshDS = GetMeshDS();
125 // we can create quadratic elements only if all elements
126 // created on sub-shapes of given shape are quadratic
127 // also we have to fill myTLinkNodeMap
128 myCreateQuadratic = true;
129 mySeamShapeIds.clear();
130 myDegenShapeIds.clear();
131 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
132 if ( aSh.ShapeType()==TopAbs_COMPOUND )
134 TopoDS_Iterator subIt( aSh );
136 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
138 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
141 int nbOldLinks = myTLinkNodeMap.size();
143 if ( !myMesh->HasShapeToMesh() )
145 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
147 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
148 while ( fIt->more() )
149 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
154 TopExp_Explorer exp( aSh, subType );
155 TopTools_MapOfShape checkedSubShapes;
156 for (; exp.More() && myCreateQuadratic; exp.Next()) {
157 if ( !checkedSubShapes.Add( exp.Current() ))
158 continue; // needed if aSh is compound of solids
159 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
160 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
162 const SMDS_MeshElement* e = it->next();
163 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
164 myCreateQuadratic = false;
169 switch ( e->NbCornerNodes() ) {
171 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
173 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
174 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
175 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
177 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
178 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
179 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
180 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
183 myCreateQuadratic = false;
193 if ( nbOldLinks == myTLinkNodeMap.size() )
194 myCreateQuadratic = false;
196 if(!myCreateQuadratic) {
197 myTLinkNodeMap.clear();
201 return myCreateQuadratic;
204 //=======================================================================
205 //function : SetSubShape
206 //purpose : Set geometry to make elements on
207 //=======================================================================
209 void SMESH_MesherHelper::SetSubShape(const int aShID)
211 if ( aShID == myShapeID )
214 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
216 SetSubShape( TopoDS_Shape() );
219 //=======================================================================
220 //function : SetSubShape
221 //purpose : Set geometry to create elements on
222 //=======================================================================
224 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
226 if ( myShape.IsSame( aSh ))
230 mySeamShapeIds.clear();
231 myDegenShapeIds.clear();
233 if ( myShape.IsNull() ) {
237 SMESHDS_Mesh* meshDS = GetMeshDS();
238 myShapeID = meshDS->ShapeToIndex(aSh);
241 // treatment of periodic faces
242 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
244 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
246 // if ( surface->IsUPeriodic() || surface->IsVPeriodic() ||
247 // surface->IsUClosed() || surface->IsVClosed() )
249 //while ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
250 //surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
252 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
254 // look for a seam edge
255 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
256 if ( BRep_Tool::IsClosed( edge, face )) {
257 // initialize myPar1, myPar2 and myParIndex
259 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
260 if ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Abs( uv1.Coord(2) - uv2.Coord(2) ))
262 double u1 = uv1.Coord(1);
264 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
265 double u2 = uv1.Coord(1);
266 myParIndex |= U_periodic;
267 myPar1[0] = Min( u1, u2 );
268 myPar2[0] = Max( u1, u2 );
271 double v1 = uv1.Coord(2);
273 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
274 double v2 = uv1.Coord(2);
275 myParIndex |= V_periodic;
276 myPar1[1] = Min( v1, v2 );
277 myPar2[1] = Max( v1, v2 );
279 // store seam shape indices, negative if shape encounters twice
280 int edgeID = meshDS->ShapeToIndex( edge );
281 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
282 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
283 int vertexID = meshDS->ShapeToIndex( v.Current() );
284 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
288 // look for a degenerated edge
289 if ( SMESH_Algo::isDegenerated( edge )) {
290 myDegenShapeIds.insert( meshDS->ShapeToIndex( edge ));
291 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
292 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
295 if ( !myDegenShapeIds.empty() && !myParIndex )
297 BRepAdaptor_Surface surf( face, false );
298 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
299 myParIndex |= U_periodic;
300 myPar1[0] = surf.FirstUParameter();
301 myPar2[0] = surf.LastUParameter();
303 else if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
304 myParIndex |= V_periodic;
305 myPar1[1] = surf.FirstVParameter();
306 myPar2[1] = surf.LastVParameter();
313 //=======================================================================
314 //function : GetNodeUVneedInFaceNode
315 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
316 // Return true if the face is periodic.
317 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
319 //=======================================================================
321 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
323 if ( F.IsNull() ) return !mySeamShapeIds.empty();
325 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
326 return !mySeamShapeIds.empty();
329 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
330 if ( !aSurface.IsNull() )
331 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
336 //=======================================================================
337 //function : IsMedium
339 //=======================================================================
341 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
342 const SMDSAbs_ElementType typeToCheck)
344 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
347 //=======================================================================
348 //function : GetSubShapeByNode
349 //purpose : Return support shape of a node
350 //=======================================================================
352 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
353 const SMESHDS_Mesh* meshDS)
355 int shapeID = node ? node->getshapeId() : 0;
356 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
357 return meshDS->IndexToShape( shapeID );
359 return TopoDS_Shape();
363 //=======================================================================
364 //function : AddTLinkNode
365 //purpose : add a link in my data structure
366 //=======================================================================
368 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
369 const SMDS_MeshNode* n2,
370 const SMDS_MeshNode* n12)
372 // add new record to map
373 SMESH_TLink link( n1, n2 );
374 myTLinkNodeMap.insert( make_pair(link,n12));
377 //================================================================================
379 * \brief Add quadratic links of edge to own data structure
381 //================================================================================
383 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
385 if ( edge && edge->IsQuadratic() )
386 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
392 //================================================================================
394 * \brief Add quadratic links of face to own data structure
396 //================================================================================
398 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
402 switch ( f->NbNodes() ) {
404 // myMapWithCentralNode.insert
405 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
407 // break; -- add medium nodes as well
409 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
410 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
411 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
414 // myMapWithCentralNode.insert
415 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
417 // break; -- add medium nodes as well
419 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
420 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
421 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
422 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
429 //================================================================================
431 * \brief Add quadratic links of volume to own data structure
433 //================================================================================
435 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
437 if ( volume->IsQuadratic() )
439 SMDS_VolumeTool vTool( volume );
440 const SMDS_MeshNode** nodes = vTool.GetNodes();
442 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
444 const int nbN = vTool.NbFaceNodes( iF );
445 const int* iNodes = vTool.GetFaceNodesIndices( iF );
446 for ( int i = 0; i < nbN; )
448 int iN1 = iNodes[i++];
449 int iN12 = iNodes[i++];
451 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
452 int linkID = iN1 * vTool.NbNodes() + iN2;
453 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
454 if ( it_isNew.second )
455 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
457 addedLinks.erase( it_isNew.first ); // each link encounters only twice
459 if ( vTool.NbNodes() == 27 )
461 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
462 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
463 myMapWithCentralNode.insert
464 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
465 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
474 //================================================================================
476 * \brief Return true if position of nodes on the shape hasn't yet been checked or
477 * the positions proved to be invalid
479 //================================================================================
481 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
483 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
484 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
487 //================================================================================
489 * \brief Set validity of positions of nodes on the shape.
490 * Once set, validity is not changed
492 //================================================================================
494 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
496 std::map< int,bool >::iterator sh_ok =
497 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
502 //=======================================================================
503 //function : ToFixNodeParameters
504 //purpose : Enables fixing node parameters on EDGEs and FACEs in
505 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
506 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
508 //=======================================================================
510 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
512 myFixNodeParameters = toFix;
516 //=======================================================================
517 //function : GetUVOnSeam
518 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
519 //=======================================================================
521 gp_Pnt2d SMESH_MesherHelper::GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
523 gp_Pnt2d result = uv1;
524 for ( int i = U_periodic; i <= V_periodic ; ++i )
526 if ( myParIndex & i )
528 double p1 = uv1.Coord( i );
529 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
530 if ( myParIndex == i ||
531 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
532 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
534 double p2 = uv2.Coord( i );
535 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
536 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
537 result.SetCoord( i, p1Alt );
544 //=======================================================================
545 //function : GetNodeUV
546 //purpose : Return node UV on face
547 //=======================================================================
549 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
550 const SMDS_MeshNode* n,
551 const SMDS_MeshNode* n2,
554 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
556 const SMDS_PositionPtr Pos = n->GetPosition();
558 if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE)
560 // node has position on face
561 const SMDS_FacePosition* fpos =
562 static_cast<const SMDS_FacePosition*>( Pos );
563 uv.SetCoord(fpos->GetUParameter(),fpos->GetVParameter());
565 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
567 else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE)
569 // node has position on edge => it is needed to find
570 // corresponding edge from face, get pcurve for this
571 // edge and retrieve value from this pcurve
572 const SMDS_EdgePosition* epos =
573 static_cast<const SMDS_EdgePosition*>( Pos );
574 int edgeID = n->getshapeId();
575 TopoDS_Edge E = TopoDS::Edge(GetMeshDS()->IndexToShape(edgeID));
576 double f, l, u = epos->GetUParameter();
577 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
578 bool validU = ( f < u && u < l );
580 uv = C2d->Value( u );
582 uv.SetCoord( Precision::Infinite(),0.);
583 if ( check || !validU )
584 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ),/*force=*/ !validU );
586 // for a node on a seam edge select one of UVs on 2 pcurves
587 if ( n2 && IsSeamShape( edgeID ) )
589 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
592 { // adjust uv to period
594 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
595 Standard_Boolean isUPeriodic = S->IsUPeriodic();
596 Standard_Boolean isVPeriodic = S->IsVPeriodic();
597 if ( isUPeriodic || isVPeriodic ) {
598 Standard_Real UF,UL,VF,VL;
599 S->Bounds(UF,UL,VF,VL);
601 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
603 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
607 else if(Pos->GetTypeOfPosition()==SMDS_TOP_VERTEX)
609 if ( int vertexID = n->getshapeId() ) {
610 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
612 uv = BRep_Tool::Parameters( V, F );
615 catch (Standard_Failure& exc) {
618 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
619 uvOK = ( V == vert.Current() );
621 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
622 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
623 // get UV of a vertex closest to the node
625 gp_Pnt pn = XYZ( n );
626 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() ) {
627 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
628 gp_Pnt p = BRep_Tool::Pnt( curV );
629 double curDist = p.SquareDistance( pn );
630 if ( curDist < dist ) {
632 uv = BRep_Tool::Parameters( curV, F );
633 uvOK = ( dist < DBL_MIN );
639 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
640 for ( ; it.More(); it.Next() ) {
641 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
642 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
644 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
645 if ( !C2d.IsNull() ) {
646 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
647 uv = C2d->Value( u );
655 if ( n2 && IsSeamShape( vertexID ) )
656 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
661 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
670 //=======================================================================
671 //function : CheckNodeUV
672 //purpose : Check and fix node UV on a face
673 //=======================================================================
675 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
676 const SMDS_MeshNode* n,
680 double distXYZ[4]) const
682 int shapeID = n->getshapeId();
683 bool infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ));
684 bool zero = ( uv.X() == 0. && uv.Y() == 0. );
685 if ( force || toCheckPosOnShape( shapeID ) || infinit || zero )
687 // check that uv is correct
689 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
690 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
692 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
694 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
696 setPosOnShapeValidity( shapeID, false );
697 if ( !infinit && distXYZ ) {
698 surfPnt.Transform( loc );
700 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
702 // uv incorrect, project the node to surface
703 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
704 projector.Perform( nodePnt );
705 if ( !projector.IsDone() || projector.NbPoints() < 1 )
707 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
710 Quantity_Parameter U,V;
711 projector.LowerDistanceParameters(U,V);
713 surfPnt = surface->Value( U, V );
714 dist = nodePnt.Distance( surfPnt );
716 surfPnt.Transform( loc );
718 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
722 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
725 // store the fixed UV on the face
726 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
727 const_cast<SMDS_MeshNode*>(n)->SetPosition
728 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
730 else if ( uv.Modulus() > numeric_limits<double>::min() )
732 setPosOnShapeValidity( shapeID, true );
738 //=======================================================================
739 //function : GetProjector
740 //purpose : Return projector intitialized by given face without location, which is returned
741 //=======================================================================
743 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
744 TopLoc_Location& loc,
747 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
748 int faceID = GetMeshDS()->ShapeToIndex( F );
749 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
750 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
751 if ( i_proj == i2proj.end() )
753 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
754 double U1, U2, V1, V2;
755 surface->Bounds(U1, U2, V1, V2);
756 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
757 proj->Init( surface, U1, U2, V1, V2, tol );
758 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
760 return *( i_proj->second );
765 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
766 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
767 gp_XY_FunPtr(Subtracted);
770 //=======================================================================
771 //function : applyIn2D
772 //purpose : Perform given operation on two 2d points in parameric space of given surface.
773 // It takes into account period of the surface. Use gp_XY_FunPtr macro
774 // to easily define pointer to function of gp_XY class.
775 //=======================================================================
777 gp_XY SMESH_MesherHelper::applyIn2D(const Handle(Geom_Surface)& surface,
781 const bool resultInPeriod)
783 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
784 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
785 if ( !isUPeriodic && !isVPeriodic )
788 // move uv2 not far than half-period from uv1
790 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
792 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
795 gp_XY res = fun( uv1, gp_XY(u2,v2) );
797 // move result within period
798 if ( resultInPeriod )
800 Standard_Real UF,UL,VF,VL;
801 surface->Bounds(UF,UL,VF,VL);
803 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
805 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
810 //=======================================================================
811 //function : GetMiddleUV
812 //purpose : Return middle UV taking in account surface period
813 //=======================================================================
815 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
820 // the proper place of getting basic surface seems to be in applyIn2D()
821 // but we put it here to decrease a risk of regressions just before releasing a version
822 Handle(Geom_Surface) surf = surface;
823 while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
824 surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
826 return applyIn2D( surf, p1, p2, & AverageUV );
829 //=======================================================================
830 //function : GetCenterUV
831 //purpose : Return UV for the central node of a biquadratic triangle
832 //=======================================================================
834 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
840 bool * isBadTria/*=0*/)
843 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
845 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
846 uvAvg = ( uv1 + uv23 ) / 2.;
847 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
848 uvAvg = ( uv2 + uv31 ) / 2.;
849 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
850 uvAvg = ( uv3 + uv12 ) / 2.;
853 *isBadTria = badTria;
857 //=======================================================================
858 //function : GetNodeU
859 //purpose : Return node U on edge
860 //=======================================================================
862 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
863 const SMDS_MeshNode* n,
864 const SMDS_MeshNode* inEdgeNode,
867 double param = Precision::Infinite();
869 const SMDS_PositionPtr pos = n->GetPosition();
870 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
872 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
873 param = epos->GetUParameter();
875 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
877 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
880 BRep_Tool::Range( E, f,l );
881 double uInEdge = GetNodeU( E, inEdgeNode );
882 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
886 SMESHDS_Mesh * meshDS = GetMeshDS();
887 int vertexID = n->getshapeId();
888 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
889 param = BRep_Tool::Parameter( V, E );
894 double tol = BRep_Tool::Tolerance( E );
895 double f,l; BRep_Tool::Range( E, f,l );
896 bool force = ( param < f-tol || param > l+tol );
897 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
898 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
900 *check = CheckNodeU( E, n, param, 2*tol, force );
905 //=======================================================================
906 //function : CheckNodeU
907 //purpose : Check and fix node U on an edge
908 // Return false if U is bad and could not be fixed
909 //=======================================================================
911 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
912 const SMDS_MeshNode* n,
916 double distXYZ[4]) const
918 int shapeID = n->getshapeId();
919 bool infinit = Precision::IsInfinite( u );
920 bool zero = ( u == 0. );
921 if ( force || toCheckPosOnShape( shapeID ) || infinit || zero )
923 TopLoc_Location loc; double f,l;
924 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
925 if ( curve.IsNull() ) // degenerated edge
927 if ( u+tol < f || u-tol > l )
929 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
935 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
936 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
941 curvPnt = curve->Value( u );
942 dist = nodePnt.Distance( curvPnt );
944 curvPnt.Transform( loc );
946 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
951 setPosOnShapeValidity( shapeID, false );
952 // u incorrect, project the node to the curve
953 int edgeID = GetMeshDS()->ShapeToIndex( E );
954 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
955 TID2ProjectorOnCurve::iterator i_proj =
956 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
957 if ( !i_proj->second )
959 i_proj->second = new GeomAPI_ProjectPointOnCurve();
960 i_proj->second->Init( curve, f, l );
962 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
963 projector->Perform( nodePnt );
964 if ( projector->NbPoints() < 1 )
966 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
969 Quantity_Parameter U = projector->LowerDistanceParameter();
971 MESSAGE(" f " << f << " l " << l << " u " << u);
972 curvPnt = curve->Value( u );
973 dist = nodePnt.Distance( curvPnt );
975 curvPnt.Transform( loc );
977 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
981 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
982 MESSAGE("distance " << dist << " " << tol );
985 // store the fixed U on the edge
986 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
987 const_cast<SMDS_MeshNode*>(n)->SetPosition
988 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
990 else if ( fabs( u ) > numeric_limits<double>::min() )
992 setPosOnShapeValidity( shapeID, true );
994 if (( u < f-tol || u > l+tol ) && force )
996 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
997 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1000 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1001 double period = curve->Period();
1002 u = ( u < f ) ? u + period : u - period;
1004 catch (Standard_Failure& exc)
1014 //=======================================================================
1015 //function : GetMediumPos
1016 //purpose : Return index and type of the shape (EDGE or FACE only) to
1017 // set a medium node on
1018 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1020 //=======================================================================
1022 std::pair<int, TopAbs_ShapeEnum>
1023 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1024 const SMDS_MeshNode* n2,
1025 const bool useCurSubShape)
1027 if ( useCurSubShape && !myShape.IsNull() )
1028 return std::make_pair( myShapeID, myShape.ShapeType() );
1030 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1034 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1036 shapeType = myShape.ShapeType();
1037 shapeID = myShapeID;
1039 else if ( n1->getshapeId() == n2->getshapeId() )
1041 shapeID = n2->getshapeId();
1042 shape = GetSubShapeByNode( n1, GetMeshDS() );
1046 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1047 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1049 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1052 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1054 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE )
1056 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1057 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1058 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1059 if ( IsSubShape( S, F ))
1061 shapeType = TopAbs_FACE;
1062 shapeID = n1->getshapeId();
1066 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1068 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1069 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1070 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1072 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1074 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1075 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1076 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1077 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1079 else // VERTEX and EDGE
1081 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1082 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1083 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1084 if ( IsSubShape( V, E ))
1087 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1091 if ( !shape.IsNull() )
1094 shapeID = GetMeshDS()->ShapeToIndex( shape );
1095 shapeType = shape.ShapeType();
1097 return make_pair( shapeID, shapeType );
1100 //=======================================================================
1101 //function : GetCentralNode
1102 //purpose : Return existing or create a new central node for a quardilateral
1103 // quadratic face given its 8 nodes.
1104 //@param : force3d - true means node creation in between the given nodes,
1105 // else node position is found on a geometrical face if any.
1106 //=======================================================================
1108 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1109 const SMDS_MeshNode* n2,
1110 const SMDS_MeshNode* n3,
1111 const SMDS_MeshNode* n4,
1112 const SMDS_MeshNode* n12,
1113 const SMDS_MeshNode* n23,
1114 const SMDS_MeshNode* n34,
1115 const SMDS_MeshNode* n41,
1118 SMDS_MeshNode *centralNode = 0; // central node to return
1120 // Find an existing central node
1122 TBiQuad keyOfMap(n1,n2,n3,n4);
1123 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1124 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1125 if ( itMapCentralNode != myMapWithCentralNode.end() )
1127 return (*itMapCentralNode).second;
1130 // Get type of shape for the new central node
1132 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1136 TopTools_ListIteratorOfListOfShape it;
1138 std::map< int, int > faceId2nbNodes;
1139 std::map< int, int > ::iterator itMapWithIdFace;
1141 SMESHDS_Mesh* meshDS = GetMeshDS();
1143 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1144 // on sub-shapes of the FACE
1145 if ( GetMesh()->HasShapeToMesh() )
1147 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1148 for(int i = 0; i < 4; i++)
1150 shape = GetSubShapeByNode( nodes[i], meshDS );
1151 if ( shape.IsNull() ) break;
1152 if ( shape.ShapeType() == TopAbs_SOLID )
1154 solidID = nodes[i]->getshapeId();
1155 shapeType = TopAbs_SOLID;
1158 if ( shape.ShapeType() == TopAbs_FACE )
1160 faceID = nodes[i]->getshapeId();
1161 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1162 itMapWithIdFace->second++;
1166 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1167 while ( const TopoDS_Shape* face = it->next() )
1169 faceID = meshDS->ShapeToIndex( *face );
1170 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1171 itMapWithIdFace->second++;
1176 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1178 // find ID of the FACE the four corner nodes belong to
1179 itMapWithIdFace = faceId2nbNodes.begin();
1180 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1182 if ( itMapWithIdFace->second == 4 )
1184 shapeType = TopAbs_FACE;
1185 faceID = (*itMapWithIdFace).first;
1192 if ( shapeType == TopAbs_FACE )
1194 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1201 bool toCheck = true;
1202 if ( !F.IsNull() && !force3d )
1204 uvAvg = calcTFI (0.5, 0.5,
1205 GetNodeUV(F,n1,n3,&toCheck), GetNodeUV(F,n2,n4,&toCheck),
1206 GetNodeUV(F,n3,n1,&toCheck), GetNodeUV(F,n4,n2,&toCheck),
1207 GetNodeUV(F,n12,n3), GetNodeUV(F,n23,n4),
1208 GetNodeUV(F,n34,n2), GetNodeUV(F,n41,n2));
1209 TopLoc_Location loc;
1210 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1211 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1212 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1213 // if ( mySetElemOnShape ) node is not elem!
1214 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1216 else // ( force3d || F.IsNull() )
1218 P = calcTFI (0.5, 0.5,
1219 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1220 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1221 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1222 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1223 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1225 if ( !F.IsNull() ) // force3d
1227 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1228 GetNodeUV(F,n2,n4,&toCheck) +
1229 GetNodeUV(F,n3,n1,&toCheck) +
1230 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1231 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1232 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1234 else if ( solidID > 0 )
1236 meshDS->SetNodeInVolume( centralNode, solidID );
1238 else if ( myShapeID > 0 && mySetElemOnShape )
1240 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1243 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1247 //=======================================================================
1248 //function : GetCentralNode
1249 //purpose : Return existing or create a new central node for a
1250 // quadratic triangle given its 6 nodes.
1251 //@param : force3d - true means node creation in between the given nodes,
1252 // else node position is found on a geometrical face if any.
1253 //=======================================================================
1255 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1256 const SMDS_MeshNode* n2,
1257 const SMDS_MeshNode* n3,
1258 const SMDS_MeshNode* n12,
1259 const SMDS_MeshNode* n23,
1260 const SMDS_MeshNode* n31,
1263 SMDS_MeshNode *centralNode = 0; // central node to return
1265 // Find an existing central node
1267 TBiQuad keyOfMap(n1,n2,n3);
1268 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1269 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1270 if ( itMapCentralNode != myMapWithCentralNode.end() )
1272 return (*itMapCentralNode).second;
1275 // Get type of shape for the new central node
1277 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1281 TopTools_ListIteratorOfListOfShape it;
1283 std::map< int, int > faceId2nbNodes;
1284 std::map< int, int > ::iterator itMapWithIdFace;
1286 SMESHDS_Mesh* meshDS = GetMeshDS();
1288 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1289 // on sub-shapes of the FACE
1290 if ( GetMesh()->HasShapeToMesh() )
1292 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1293 for(int i = 0; i < 3; i++)
1295 shape = GetSubShapeByNode( nodes[i], meshDS );
1296 if ( shape.IsNull() ) break;
1297 if ( shape.ShapeType() == TopAbs_SOLID )
1299 solidID = nodes[i]->getshapeId();
1300 shapeType = TopAbs_SOLID;
1303 if ( shape.ShapeType() == TopAbs_FACE )
1305 faceID = nodes[i]->getshapeId();
1306 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1307 itMapWithIdFace->second++;
1311 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1312 while ( const TopoDS_Shape* face = it->next() )
1314 faceID = meshDS->ShapeToIndex( *face );
1315 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1316 itMapWithIdFace->second++;
1321 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1323 // find ID of the FACE the four corner nodes belong to
1324 itMapWithIdFace = faceId2nbNodes.begin();
1325 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1327 if ( itMapWithIdFace->second == 3 )
1329 shapeType = TopAbs_FACE;
1330 faceID = (*itMapWithIdFace).first;
1340 if ( shapeType == TopAbs_FACE )
1342 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1344 gp_XY uv1 = GetNodeUV( F, n1, n23, &check );
1345 gp_XY uv2 = GetNodeUV( F, n2, n31, &check );
1346 gp_XY uv3 = GetNodeUV( F, n3, n12, &check );
1347 gp_XY uv12 = GetNodeUV( F, n12, n3, &check );
1348 gp_XY uv23 = GetNodeUV( F, n23, n1, &check );
1349 gp_XY uv31 = GetNodeUV( F, n31, n2, &check );
1350 uvAvg = GetCenterUV( uv1,uv2,uv3, uv12,uv23,uv31, &badTria );
1355 // Create a central node
1358 if ( !F.IsNull() && !force3d )
1360 TopLoc_Location loc;
1361 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1362 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1363 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1364 // if ( mySetElemOnShape ) node is not elem!
1365 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1367 else // ( force3d || F.IsNull() )
1369 P = ( SMESH_TNodeXYZ( n12 ) +
1370 SMESH_TNodeXYZ( n23 ) +
1371 SMESH_TNodeXYZ( n31 ) ) / 3;
1372 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1374 if ( !F.IsNull() ) // force3d
1376 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1378 else if ( solidID > 0 )
1380 meshDS->SetNodeInVolume( centralNode, solidID );
1382 else if ( myShapeID > 0 && mySetElemOnShape )
1384 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1387 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1391 //=======================================================================
1392 //function : GetMediumNode
1393 //purpose : Return existing or create a new medium node between given ones
1394 //=======================================================================
1396 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1397 const SMDS_MeshNode* n2,
1400 // Find existing node
1402 SMESH_TLink link(n1,n2);
1403 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1404 if ( itLN != myTLinkNodeMap.end() ) {
1405 return (*itLN).second;
1408 // Create medium node
1411 SMESHDS_Mesh* meshDS = GetMeshDS();
1413 if ( IsSeamShape( n1->getshapeId() ))
1414 // to get a correct UV of a node on seam, the second node must have checked UV
1415 std::swap( n1, n2 );
1417 // get type of shape for the new medium node
1418 int faceID = -1, edgeID = -1;
1419 TopoDS_Edge E; double u [2];
1420 TopoDS_Face F; gp_XY uv[2];
1421 bool uvOK[2] = { false, false };
1423 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, mySetElemOnShape );
1424 // calling GetMediumPos() with useCurSubShape=mySetElemOnShape is OK only for the
1425 // case where the lower dim mesh is already constructed, else, nodes on EDGEs are
1426 // assigned to FACE, for example.
1428 // get positions of the given nodes on shapes
1429 if ( pos.second == TopAbs_FACE )
1431 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1432 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1433 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1435 else if ( pos.second == TopAbs_EDGE )
1437 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1438 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1439 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1440 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1441 n1->getshapeId() != n2->getshapeId() )
1444 return getMediumNodeOnComposedWire(n1,n2,force3d);
1446 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1448 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1449 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1451 catch ( Standard_Failure& f )
1453 // issue 22502 / a node is on VERTEX not belonging to E
1454 // issue 22568 / both nodes are on non-connected VERTEXes
1455 return getMediumNodeOnComposedWire(n1,n2,force3d);
1459 if ( !force3d & uvOK[0] && uvOK[1] )
1461 // we try to create medium node using UV parameters of
1462 // nodes, else - medium between corresponding 3d points
1465 //if ( uvOK[0] && uvOK[1] )
1467 if ( IsDegenShape( n1->getshapeId() )) {
1468 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1469 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1471 else if ( IsDegenShape( n2->getshapeId() )) {
1472 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1473 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1475 TopLoc_Location loc;
1476 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1477 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1478 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1479 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1480 // if ( mySetElemOnShape ) node is not elem!
1481 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1482 myTLinkNodeMap.insert(make_pair(link,n12));
1486 else if ( !E.IsNull() )
1489 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1492 Standard_Boolean isPeriodic = C->IsPeriodic();
1495 Standard_Real Period = C->Period();
1496 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1497 Standard_Real pmid = (u[0]+p)/2.;
1498 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1503 gp_Pnt P = C->Value( U );
1504 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1505 //if ( mySetElemOnShape ) node is not elem!
1506 meshDS->SetNodeOnEdge(n12, edgeID, U);
1507 myTLinkNodeMap.insert(make_pair(link,n12));
1514 double x = ( n1->X() + n2->X() )/2.;
1515 double y = ( n1->Y() + n2->Y() )/2.;
1516 double z = ( n1->Z() + n2->Z() )/2.;
1517 n12 = meshDS->AddNode(x,y,z);
1519 //if ( mySetElemOnShape ) node is not elem!
1523 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1524 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1525 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1527 else if ( !E.IsNull() )
1529 double U = ( u[0] + u[1] ) / 2.;
1530 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1531 meshDS->SetNodeOnEdge(n12, edgeID, U);
1533 else if ( myShapeID > 0 && mySetElemOnShape )
1535 meshDS->SetMeshElementOnShape(n12, myShapeID);
1539 myTLinkNodeMap.insert( make_pair( link, n12 ));
1543 //================================================================================
1545 * \brief Makes a medium node if nodes reside different edges
1547 //================================================================================
1549 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1550 const SMDS_MeshNode* n2,
1553 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1554 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1555 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1557 // To find position on edge and 3D position for n12,
1558 // project <middle> to 2 edges and select projection most close to <middle>
1560 TopoDS_Edge bestEdge;
1561 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1563 // get shapes under the nodes
1564 TopoDS_Shape shape[2];
1566 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1568 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1569 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1571 shape[ nbShapes++ ] = S;
1574 vector< TopoDS_Shape > edges;
1575 for ( int iS = 0; iS < nbShapes; ++iS )
1577 switch ( shape[iS].ShapeType() ) {
1580 edges.push_back( shape[iS] );
1586 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1587 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1589 if ( edge.IsNull() )
1591 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1592 while( const TopoDS_Shape* e = eIt->next() )
1593 edges.push_back( *e );
1599 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1600 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1601 edges.push_back( e.Current() );
1608 // project to get U of projection and distance from middle to projection
1609 for ( size_t iE = 0; iE < edges.size(); ++iE )
1611 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1612 distXYZ[0] = distMiddleProj;
1614 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1615 if ( distXYZ[0] < distMiddleProj )
1617 distMiddleProj = distXYZ[0];
1623 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1624 // TopoDS_Vertex vCommon;
1625 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1626 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1629 // double f,l, u0 = GetNodeU( edges[0], n1 );
1630 // BRep_Tool::Range( edges[0],f,l );
1631 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1634 // distMiddleProj = 0;
1637 if ( !bestEdge.IsNull() )
1639 // move n12 to position of a successfull projection
1640 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1641 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1643 TopLoc_Location loc;
1644 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1645 gp_Pnt p = curve->Value( u ).Transformed( loc );
1646 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1648 //if ( mySetElemOnShape ) node is not elem!
1650 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1651 if ( edgeID != n12->getshapeId() )
1652 GetMeshDS()->UnSetNodeOnShape( n12 );
1653 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1656 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1661 //=======================================================================
1662 //function : AddNode
1663 //purpose : Creates a node
1664 //=======================================================================
1666 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1669 SMESHDS_Mesh * meshDS = GetMeshDS();
1670 SMDS_MeshNode* node = 0;
1672 node = meshDS->AddNodeWithID( x, y, z, ID );
1674 node = meshDS->AddNode( x, y, z );
1675 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1676 switch ( myShape.ShapeType() ) {
1677 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1678 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1679 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1680 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1681 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1688 //=======================================================================
1689 //function : AddEdge
1690 //purpose : Creates quadratic or linear edge
1691 //=======================================================================
1693 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1694 const SMDS_MeshNode* n2,
1698 SMESHDS_Mesh * meshDS = GetMeshDS();
1700 SMDS_MeshEdge* edge = 0;
1701 if (myCreateQuadratic) {
1702 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1704 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1706 edge = meshDS->AddEdge(n1, n2, n12);
1710 edge = meshDS->AddEdgeWithID(n1, n2, id);
1712 edge = meshDS->AddEdge(n1, n2);
1715 if ( mySetElemOnShape && myShapeID > 0 )
1716 meshDS->SetMeshElementOnShape( edge, myShapeID );
1721 //=======================================================================
1722 //function : AddFace
1723 //purpose : Creates quadratic or linear triangle
1724 //=======================================================================
1726 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1727 const SMDS_MeshNode* n2,
1728 const SMDS_MeshNode* n3,
1732 SMESHDS_Mesh * meshDS = GetMeshDS();
1733 SMDS_MeshFace* elem = 0;
1735 if( n1==n2 || n2==n3 || n3==n1 )
1738 if(!myCreateQuadratic) {
1740 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1742 elem = meshDS->AddFace(n1, n2, n3);
1745 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1746 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1747 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1748 if(myCreateBiQuadratic)
1750 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1752 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1754 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1759 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1761 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1764 if ( mySetElemOnShape && myShapeID > 0 )
1765 meshDS->SetMeshElementOnShape( elem, myShapeID );
1770 //=======================================================================
1771 //function : AddFace
1772 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1773 //=======================================================================
1775 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1776 const SMDS_MeshNode* n2,
1777 const SMDS_MeshNode* n3,
1778 const SMDS_MeshNode* n4,
1782 SMESHDS_Mesh * meshDS = GetMeshDS();
1783 SMDS_MeshFace* elem = 0;
1786 return AddFace(n1,n3,n4,id,force3d);
1789 return AddFace(n1,n2,n4,id,force3d);
1792 return AddFace(n1,n2,n3,id,force3d);
1795 return AddFace(n1,n2,n4,id,force3d);
1798 return AddFace(n1,n2,n3,id,force3d);
1801 return AddFace(n1,n2,n3,id,force3d);
1804 if(!myCreateQuadratic) {
1806 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1808 elem = meshDS->AddFace(n1, n2, n3, n4);
1811 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1812 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1813 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1814 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1815 if(myCreateBiQuadratic)
1817 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1819 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1821 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1826 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1828 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1831 if ( mySetElemOnShape && myShapeID > 0 )
1832 meshDS->SetMeshElementOnShape( elem, myShapeID );
1837 //=======================================================================
1838 //function : AddPolygonalFace
1839 //purpose : Creates polygon, with additional nodes in quadratic mesh
1840 //=======================================================================
1842 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1846 SMESHDS_Mesh * meshDS = GetMeshDS();
1847 SMDS_MeshFace* elem = 0;
1849 if(!myCreateQuadratic) {
1851 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
1853 elem = meshDS->AddPolygonalFace(nodes);
1856 vector<const SMDS_MeshNode*> newNodes;
1857 for ( int i = 0; i < nodes.size(); ++i )
1859 const SMDS_MeshNode* n1 = nodes[i];
1860 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
1861 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1862 newNodes.push_back( n1 );
1863 newNodes.push_back( n12 );
1866 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
1868 elem = meshDS->AddPolygonalFace(newNodes);
1870 if ( mySetElemOnShape && myShapeID > 0 )
1871 meshDS->SetMeshElementOnShape( elem, myShapeID );
1876 //=======================================================================
1877 //function : AddVolume
1878 //purpose : Creates quadratic or linear prism
1879 //=======================================================================
1881 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1882 const SMDS_MeshNode* n2,
1883 const SMDS_MeshNode* n3,
1884 const SMDS_MeshNode* n4,
1885 const SMDS_MeshNode* n5,
1886 const SMDS_MeshNode* n6,
1890 SMESHDS_Mesh * meshDS = GetMeshDS();
1891 SMDS_MeshVolume* elem = 0;
1892 if(!myCreateQuadratic) {
1894 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
1896 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
1899 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1900 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1901 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1903 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1904 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1905 const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,force3d);
1907 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1908 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1909 const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,force3d);
1912 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
1913 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
1915 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
1916 n12, n23, n31, n45, n56, n64, n14, n25, n36);
1918 if ( mySetElemOnShape && myShapeID > 0 )
1919 meshDS->SetMeshElementOnShape( elem, myShapeID );
1924 //=======================================================================
1925 //function : AddVolume
1926 //purpose : Creates quadratic or linear tetrahedron
1927 //=======================================================================
1929 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1930 const SMDS_MeshNode* n2,
1931 const SMDS_MeshNode* n3,
1932 const SMDS_MeshNode* n4,
1936 SMESHDS_Mesh * meshDS = GetMeshDS();
1937 SMDS_MeshVolume* elem = 0;
1938 if(!myCreateQuadratic) {
1940 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
1942 elem = meshDS->AddVolume(n1, n2, n3, n4);
1945 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1946 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1947 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1949 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1950 const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,force3d);
1951 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1954 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
1956 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
1958 if ( mySetElemOnShape && myShapeID > 0 )
1959 meshDS->SetMeshElementOnShape( elem, myShapeID );
1964 //=======================================================================
1965 //function : AddVolume
1966 //purpose : Creates quadratic or linear pyramid
1967 //=======================================================================
1969 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1970 const SMDS_MeshNode* n2,
1971 const SMDS_MeshNode* n3,
1972 const SMDS_MeshNode* n4,
1973 const SMDS_MeshNode* n5,
1977 SMDS_MeshVolume* elem = 0;
1978 if(!myCreateQuadratic) {
1980 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
1982 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
1985 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1986 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1987 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1988 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1990 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1991 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1992 const SMDS_MeshNode* n35 = GetMediumNode(n3,n5,force3d);
1993 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1996 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2001 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2003 n15, n25, n35, n45);
2005 if ( mySetElemOnShape && myShapeID > 0 )
2006 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2011 //=======================================================================
2012 //function : AddVolume
2013 //purpose : Creates bi-quadratic, quadratic or linear hexahedron
2014 //=======================================================================
2016 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2017 const SMDS_MeshNode* n2,
2018 const SMDS_MeshNode* n3,
2019 const SMDS_MeshNode* n4,
2020 const SMDS_MeshNode* n5,
2021 const SMDS_MeshNode* n6,
2022 const SMDS_MeshNode* n7,
2023 const SMDS_MeshNode* n8,
2027 SMESHDS_Mesh * meshDS = GetMeshDS();
2028 SMDS_MeshVolume* elem = 0;
2029 if(!myCreateQuadratic) {
2031 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2033 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2036 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2037 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
2038 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
2039 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
2041 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
2042 const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,force3d);
2043 const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,force3d);
2044 const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,force3d);
2046 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
2047 const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,force3d);
2048 const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,force3d);
2049 const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,force3d);
2050 if(myCreateBiQuadratic)
2052 const SMDS_MeshNode* n1234 = GetCentralNode(n1,n2,n3,n4,n12,n23,n34,n41,force3d);
2053 const SMDS_MeshNode* n1256 = GetCentralNode(n1,n2,n5,n6,n12,n26,n56,n15,force3d);
2054 const SMDS_MeshNode* n2367 = GetCentralNode(n2,n3,n6,n7,n23,n37,n67,n26,force3d);
2055 const SMDS_MeshNode* n3478 = GetCentralNode(n3,n4,n7,n8,n34,n48,n78,n37,force3d);
2056 const SMDS_MeshNode* n1458 = GetCentralNode(n1,n4,n5,n8,n41,n48,n15,n85,force3d);
2057 const SMDS_MeshNode* n5678 = GetCentralNode(n5,n6,n7,n8,n56,n67,n78,n85,force3d);
2059 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2061 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2062 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2063 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2064 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2065 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2066 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2067 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2068 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2070 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2071 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2072 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2073 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2074 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2075 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2076 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2077 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2078 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2079 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2080 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2081 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2083 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2084 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2085 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2086 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2087 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2088 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2090 gp_XYZ centerCube(0.5, 0.5, 0.5);
2092 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2093 const SMDS_MeshNode* nCenter =
2094 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2095 meshDS->SetNodeInVolume( nCenter, myShapeID );
2098 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2099 n12, n23, n34, n41, n56, n67,
2100 n78, n85, n15, n26, n37, n48,
2101 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2103 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2104 n12, n23, n34, n41, n56, n67,
2105 n78, n85, n15, n26, n37, n48,
2106 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2111 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2112 n12, n23, n34, n41, n56, n67,
2113 n78, n85, n15, n26, n37, n48, id);
2115 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2116 n12, n23, n34, n41, n56, n67,
2117 n78, n85, n15, n26, n37, n48);
2120 if ( mySetElemOnShape && myShapeID > 0 )
2121 meshDS->SetMeshElementOnShape( elem, myShapeID );
2126 //=======================================================================
2127 //function : AddVolume
2128 //purpose : Creates LINEAR!!!!!!!!! octahedron
2129 //=======================================================================
2131 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2132 const SMDS_MeshNode* n2,
2133 const SMDS_MeshNode* n3,
2134 const SMDS_MeshNode* n4,
2135 const SMDS_MeshNode* n5,
2136 const SMDS_MeshNode* n6,
2137 const SMDS_MeshNode* n7,
2138 const SMDS_MeshNode* n8,
2139 const SMDS_MeshNode* n9,
2140 const SMDS_MeshNode* n10,
2141 const SMDS_MeshNode* n11,
2142 const SMDS_MeshNode* n12,
2146 SMESHDS_Mesh * meshDS = GetMeshDS();
2147 SMDS_MeshVolume* elem = 0;
2149 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2151 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2152 if ( mySetElemOnShape && myShapeID > 0 )
2153 meshDS->SetMeshElementOnShape( elem, myShapeID );
2157 //=======================================================================
2158 //function : AddPolyhedralVolume
2159 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2160 //=======================================================================
2163 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2164 const std::vector<int>& quantities,
2168 SMESHDS_Mesh * meshDS = GetMeshDS();
2169 SMDS_MeshVolume* elem = 0;
2170 if(!myCreateQuadratic)
2173 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2175 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2179 vector<const SMDS_MeshNode*> newNodes;
2180 vector<int> newQuantities;
2181 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2183 int nbNodesInFace = quantities[iFace];
2184 newQuantities.push_back(0);
2185 for ( int i = 0; i < nbNodesInFace; ++i )
2187 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2188 newNodes.push_back( n1 );
2189 newQuantities.back()++;
2191 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2192 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2193 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2195 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2196 newNodes.push_back( n12 );
2197 newQuantities.back()++;
2200 iN += nbNodesInFace;
2203 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2205 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2207 if ( mySetElemOnShape && myShapeID > 0 )
2208 meshDS->SetMeshElementOnShape( elem, myShapeID );
2215 //================================================================================
2217 * \brief Check if a node belongs to any face of sub-mesh
2219 //================================================================================
2221 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2223 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2224 while ( fIt->more() )
2225 if ( sm->Contains( fIt->next() ))
2231 //=======================================================================
2232 //function : IsSameElemGeometry
2233 //purpose : Returns true if all elements of a sub-mesh are of same shape
2234 //=======================================================================
2236 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2237 SMDSAbs_GeometryType shape,
2238 const bool nullSubMeshRes)
2240 if ( !smDS ) return nullSubMeshRes;
2242 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2243 while ( elemIt->more() ) {
2244 const SMDS_MeshElement* e = elemIt->next();
2245 if ( e->GetGeomType() != shape )
2251 //=======================================================================
2252 //function : LoadNodeColumns
2253 //purpose : Load nodes bound to face into a map of node columns
2254 //=======================================================================
2256 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2257 const TopoDS_Face& theFace,
2258 const TopoDS_Edge& theBaseEdge,
2259 SMESHDS_Mesh* theMesh,
2260 SMESH_ProxyMesh* theProxyMesh)
2262 return LoadNodeColumns(theParam2ColumnMap,
2264 std::list<TopoDS_Edge>(1,theBaseEdge),
2269 //=======================================================================
2270 //function : LoadNodeColumns
2271 //purpose : Load nodes bound to face into a map of node columns
2272 //=======================================================================
2274 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2275 const TopoDS_Face& theFace,
2276 const std::list<TopoDS_Edge>& theBaseSide,
2277 SMESHDS_Mesh* theMesh,
2278 SMESH_ProxyMesh* theProxyMesh)
2280 // get a right sub-mesh of theFace
2282 const SMESHDS_SubMesh* faceSubMesh = 0;
2285 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2286 if ( !faceSubMesh ||
2287 faceSubMesh->NbElements() == 0 ||
2288 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2290 // can use a proxy sub-mesh with not temporary elements only
2296 faceSubMesh = theMesh->MeshElements( theFace );
2297 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2300 if ( theParam2ColumnMap.empty() )
2302 // get data of edges for normalization of params
2303 vector< double > length;
2305 list<TopoDS_Edge>::const_iterator edge;
2307 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2309 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2311 length.push_back( len );
2315 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2316 edge = theBaseSide.begin();
2317 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2319 map< double, const SMDS_MeshNode*> sortedBaseNN;
2320 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN);
2321 if ( sortedBaseNN.empty() ) continue;
2323 map< double, const SMDS_MeshNode*>::iterator u_n = sortedBaseNN.begin();
2324 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2326 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2327 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2328 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2329 n2 != theProxyMesh->GetProxyNode( n2 ));
2330 if ( allNodesAreProxy )
2331 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2332 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2334 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2336 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2337 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2339 if ( !sortedBaseNN.empty() )
2340 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2342 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2343 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2345 if ( sortedBaseNN.empty() ) continue;
2349 BRep_Tool::Range( *edge, f, l );
2350 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2351 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2352 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2353 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2355 double par = prevPar + coeff * ( u_n->first - f );
2356 TParam2ColumnMap::iterator u2nn =
2357 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2358 u2nn->second.push_back( u_n->second );
2361 if ( theParam2ColumnMap.size() < 2 )
2366 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2367 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2369 // fill theParam2ColumnMap column by column by passing from nodes on
2370 // theBaseEdge up via mesh faces on theFace
2372 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2373 par_nVec_2 = theParam2ColumnMap.begin();
2374 par_nVec_1 = par_nVec_2++;
2375 TIDSortedElemSet emptySet, avoidSet;
2376 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2378 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2379 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2380 nCol1.resize( prevNbRows + expectedNbRows );
2381 nCol2.resize( prevNbRows + expectedNbRows );
2383 int i1, i2, foundNbRows = 0;
2384 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2385 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2386 // find face sharing node n1 and n2 and belonging to faceSubMesh
2387 while ( const SMDS_MeshElement* face =
2388 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2390 if ( faceSubMesh->Contains( face ))
2392 int nbNodes = face->NbCornerNodes();
2395 if ( foundNbRows + 1 > expectedNbRows )
2397 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2398 n2 = face->GetNode( (i1+2) % 4 );
2399 nCol1[ prevNbRows + foundNbRows] = n1;
2400 nCol2[ prevNbRows + foundNbRows] = n2;
2403 avoidSet.insert( face );
2405 if ( foundNbRows != expectedNbRows )
2409 return ( theParam2ColumnMap.size() > 1 &&
2410 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2415 //================================================================================
2417 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2419 //================================================================================
2421 bool isCornerOfStructure( const SMDS_MeshNode* n,
2422 const SMESHDS_SubMesh* faceSM,
2423 SMESH_MesherHelper& faceAnalyser )
2425 int nbFacesInSM = 0;
2427 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2428 while ( fIt->more() )
2429 nbFacesInSM += faceSM->Contains( fIt->next() );
2431 if ( nbFacesInSM == 1 )
2434 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2436 return faceAnalyser.IsRealSeam( n->getshapeId() );
2442 //=======================================================================
2443 //function : IsStructured
2444 //purpose : Return true if 2D mesh on FACE is structured
2445 //=======================================================================
2447 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2449 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2450 if ( !fSM || fSM->NbElements() == 0 )
2453 list< TopoDS_Edge > edges;
2454 list< int > nbEdgesInWires;
2455 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2456 edges, nbEdgesInWires );
2457 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2460 // algo: find corners of a structure and then analyze nb of faces and
2461 // length of structure sides
2463 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2464 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2465 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2467 // rotate edges to get the first node being at corner
2468 // (in principle it's not necessary but so far none SALOME algo can make
2469 // such a structured mesh that all corner nodes are not on VERTEXes)
2470 bool isCorner = false;
2471 int nbRemainEdges = nbEdgesInWires.front();
2473 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2474 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2477 edges.splice( edges.end(), edges, edges.begin() );
2481 while ( !isCorner && nbRemainEdges > 0 );
2486 // get all nodes from EDGEs
2487 list< const SMDS_MeshNode* > nodes;
2488 list< TopoDS_Edge >::iterator edge = edges.begin();
2489 for ( ; edge != edges.end(); ++edge )
2491 map< double, const SMDS_MeshNode* > u2Nodes;
2492 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2493 /*skipMedium=*/true, u2Nodes ))
2496 list< const SMDS_MeshNode* > edgeNodes;
2497 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2498 for ( ; u2n != u2Nodes.end(); ++u2n )
2499 edgeNodes.push_back( u2n->second );
2500 if ( edge->Orientation() == TopAbs_REVERSED )
2501 edgeNodes.reverse();
2503 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2504 edgeNodes.pop_front();
2505 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2508 // get length of structured sides
2509 vector<int> nbEdgesInSide;
2511 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2512 for ( ; n != nodes.end(); ++n )
2515 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2516 nbEdgesInSide.push_back( nbEdges );
2522 if ( nbEdgesInSide.size() != 4 )
2524 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2526 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2528 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2534 //================================================================================
2536 * \brief Find out elements orientation on a geometrical face
2537 * \param theFace - The face correctly oriented in the shape being meshed
2538 * \retval bool - true if the face normal and the normal of first element
2539 * in the correspoding submesh point in different directions
2541 //================================================================================
2543 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2545 if ( theFace.IsNull() )
2548 // find out orientation of a meshed face
2549 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2550 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2551 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2553 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2554 if ( !aSubMeshDSFace )
2557 // find an element with a good normal
2559 bool normalOK = false;
2561 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2562 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2564 const SMDS_MeshElement* elem = iteratorElem->next();
2565 if ( elem && elem->NbCornerNodes() > 2 )
2567 SMESH_TNodeXYZ nPnt[3];
2568 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2569 int iNodeOnFace = 0, iPosDim = SMDS_TOP_VERTEX;
2570 for ( int iN = 0; nodesIt->more() && iN < 3; ++iN) // loop on nodes
2572 nPnt[ iN ] = nodesIt->next();
2573 if ( nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition() > iPosDim )
2576 iPosDim = nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition();
2580 gp_Vec v01( nPnt[0], nPnt[1] ), v02( nPnt[0], nPnt[2] );
2581 if ( v01.SquareMagnitude() > RealSmall() &&
2582 v02.SquareMagnitude() > RealSmall() )
2585 if (( normalOK = ( Ne.SquareMagnitude() > RealSmall() )))
2586 uv = GetNodeUV( theFace, nPnt[iNodeOnFace]._node, 0, &normalOK );
2593 // face normal at node position
2594 TopLoc_Location loc;
2595 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2596 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2597 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2598 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2601 MESSAGE("surf->Continuity() < GeomAbs_C1 " << (surf->Continuity() < GeomAbs_C1));
2604 gp_Vec d1u, d1v; gp_Pnt p;
2605 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2606 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2608 if ( theFace.Orientation() == TopAbs_REVERSED )
2611 return Ne * Nf < 0.;
2614 //=======================================================================
2616 //purpose : Count nb of sub-shapes
2617 //=======================================================================
2619 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2620 const TopAbs_ShapeEnum type,
2621 const bool ignoreSame)
2624 TopTools_IndexedMapOfShape map;
2625 TopExp::MapShapes( shape, type, map );
2626 return map.Extent();
2630 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2636 //=======================================================================
2637 //function : NbAncestors
2638 //purpose : Return number of unique ancestors of the shape
2639 //=======================================================================
2641 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2642 const SMESH_Mesh& mesh,
2643 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2645 TopTools_MapOfShape ancestors;
2646 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2647 for ( ; ansIt.More(); ansIt.Next() ) {
2648 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2649 ancestors.Add( ansIt.Value() );
2651 return ancestors.Extent();
2654 //=======================================================================
2655 //function : GetSubShapeOri
2656 //purpose : Return orientation of sub-shape in the main shape
2657 //=======================================================================
2659 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2660 const TopoDS_Shape& subShape)
2662 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2663 if ( !shape.IsNull() && !subShape.IsNull() )
2665 TopExp_Explorer e( shape, subShape.ShapeType() );
2666 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2667 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2668 for ( ; e.More(); e.Next())
2669 if ( subShape.IsSame( e.Current() ))
2672 ori = e.Current().Orientation();
2677 //=======================================================================
2678 //function : IsSubShape
2680 //=======================================================================
2682 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2683 const TopoDS_Shape& mainShape )
2685 if ( !shape.IsNull() && !mainShape.IsNull() )
2687 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2690 if ( shape.IsSame( exp.Current() ))
2693 SCRUTE((shape.IsNull()));
2694 SCRUTE((mainShape.IsNull()));
2698 //=======================================================================
2699 //function : IsSubShape
2701 //=======================================================================
2703 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2705 if ( shape.IsNull() || !aMesh )
2708 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
2710 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
2713 //================================================================================
2715 * \brief Return maximal tolerance of shape
2717 //================================================================================
2719 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
2721 double tol = Precision::Confusion();
2722 TopExp_Explorer exp;
2723 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
2724 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
2725 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
2726 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
2727 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
2728 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
2733 //================================================================================
2735 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
2736 * of the FACE normal
2737 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
2738 * 1e100 in case of failure
2739 * \waring Care about order of the EDGEs and their orientation to be as they are
2740 * within the FACE! Don't pass degenerated EDGEs neither!
2742 //================================================================================
2744 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
2745 const TopoDS_Edge & theE2,
2746 const TopoDS_Face & theFace,
2747 const TopoDS_Vertex & theCommonV,
2748 gp_Vec* theFaceNormal)
2750 double angle = 1e100;
2754 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
2755 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
2756 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
2757 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
2758 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
2759 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
2760 if ( c1.IsNull() || c2.IsNull() )
2762 gp_XY uv = c2d1->Value( p1 ).XY();
2763 gp_Vec du, dv; gp_Pnt p;
2764 surf->D1( uv.X(), uv.Y(), p, du, dv );
2765 gp_Vec vec1, vec2, vecRef = du ^ dv;
2768 while ( vecRef.SquareMagnitude() < 1e-25 )
2770 double dp = ( l - f ) / 1000.;
2771 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
2772 uv = c2d1->Value( p1tmp ).XY();
2773 surf->D1( uv.X(), uv.Y(), p, du, dv );
2775 if ( ++nbLoops > 10 )
2778 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
2783 if ( theFace.Orientation() == TopAbs_REVERSED )
2785 if ( theFaceNormal ) *theFaceNormal = vecRef;
2787 c1->D1( p1, p, vec1 );
2788 c2->D1( p2, p, vec2 );
2789 // TopoDS_Face F = theFace;
2790 // if ( F.Orientation() == TopAbs_INTERNAL )
2791 // F.Orientation( TopAbs_FORWARD );
2792 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
2794 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
2796 angle = vec1.AngleWithRef( vec2, vecRef );
2798 if ( Abs ( angle ) >= 0.99 * M_PI )
2800 BRep_Tool::Range( theE1, f, l );
2801 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
2802 c1->D1( p1, p, vec1 );
2803 if ( theE1.Orientation() == TopAbs_REVERSED )
2805 BRep_Tool::Range( theE2, f, l );
2806 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
2807 c2->D1( p2, p, vec2 );
2808 if ( theE2.Orientation() == TopAbs_REVERSED )
2810 angle = vec1.AngleWithRef( vec2, vecRef );
2819 //================================================================================
2821 * \brief Check if the first and last vertices of an edge are the same
2822 * \param anEdge - the edge to check
2823 * \retval bool - true if same
2825 //================================================================================
2827 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
2829 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2830 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
2831 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
2834 //================================================================================
2836 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
2837 * in the case of INTERNAL edge
2839 //================================================================================
2841 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
2845 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2846 anEdge.Orientation( TopAbs_FORWARD );
2848 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
2849 TopoDS_Iterator vIt( anEdge, CumOri );
2850 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
2853 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
2856 //================================================================================
2858 * \brief Return type of shape contained in a group
2859 * \param group - a shape of type TopAbs_COMPOUND
2860 * \param avoidCompound - not to return TopAbs_COMPOUND
2862 //================================================================================
2864 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
2865 const bool avoidCompound)
2867 if ( !group.IsNull() )
2869 if ( group.ShapeType() != TopAbs_COMPOUND )
2870 return group.ShapeType();
2872 // iterate on a compound
2873 TopoDS_Iterator it( group );
2875 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
2877 return TopAbs_SHAPE;
2880 //=======================================================================
2881 //function : IsQuadraticMesh
2882 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
2883 // quadratic elements will be created.
2884 // Used then generated 3D mesh without geometry.
2885 //=======================================================================
2887 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
2889 int NbAllEdgsAndFaces=0;
2890 int NbQuadFacesAndEdgs=0;
2891 int NbFacesAndEdges=0;
2892 //All faces and edges
2893 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
2894 if ( NbAllEdgsAndFaces == 0 )
2895 return SMESH_MesherHelper::LINEAR;
2897 //Quadratic faces and edges
2898 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
2900 //Linear faces and edges
2901 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
2903 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
2905 return SMESH_MesherHelper::QUADRATIC;
2907 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
2909 return SMESH_MesherHelper::LINEAR;
2912 //Mesh with both type of elements
2913 return SMESH_MesherHelper::COMP;
2916 //=======================================================================
2917 //function : GetOtherParam
2918 //purpose : Return an alternative parameter for a node on seam
2919 //=======================================================================
2921 double SMESH_MesherHelper::GetOtherParam(const double param) const
2923 int i = myParIndex & U_periodic ? 0 : 1;
2924 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
2929 //=======================================================================
2931 * \brief Iterator on ancestors of the given type
2933 //=======================================================================
2935 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
2937 TopTools_ListIteratorOfListOfShape _ancIter;
2938 TopAbs_ShapeEnum _type;
2939 TopTools_MapOfShape _encountered;
2940 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
2941 : _ancIter( ancestors ), _type( type )
2943 if ( _ancIter.More() ) {
2944 if ( _ancIter.Value().ShapeType() != _type ) next();
2945 else _encountered.Add( _ancIter.Value() );
2950 return _ancIter.More();
2952 virtual const TopoDS_Shape* next()
2954 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
2955 if ( _ancIter.More() )
2956 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
2957 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
2965 //=======================================================================
2967 * \brief Return iterator on ancestors of the given type
2969 //=======================================================================
2971 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
2972 const SMESH_Mesh& mesh,
2973 TopAbs_ShapeEnum ancestorType)
2975 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
2978 //=======================================================================
2979 //function : GetCommonAncestor
2980 //purpose : Find a common ancestors of two shapes of the given type
2981 //=======================================================================
2983 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
2984 const TopoDS_Shape& shape2,
2985 const SMESH_Mesh& mesh,
2986 TopAbs_ShapeEnum ancestorType)
2988 TopoDS_Shape commonAnc;
2989 if ( !shape1.IsNull() && !shape2.IsNull() )
2991 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
2992 while ( const TopoDS_Shape* anc = ancIt->next() )
2993 if ( IsSubShape( shape2, *anc ))
3002 //#include <Perf_Meter.hxx>
3004 //=======================================================================
3005 namespace { // Structures used by FixQuadraticElements()
3006 //=======================================================================
3008 #define __DMP__(txt) \
3010 #define MSG(txt) __DMP__(txt<<endl)
3011 #define MSGBEG(txt) __DMP__(txt)
3013 //const double straightTol2 = 1e-33; // to detect straing links
3014 bool isStraightLink(double linkLen2, double middleNodeMove2)
3016 // straight if <node move> < 1/15 * <link length>
3017 return middleNodeMove2 < 1/15./15. * linkLen2;
3021 // ---------------------------------------
3023 * \brief Quadratic link knowing its faces
3025 struct QLink: public SMESH_TLink
3027 const SMDS_MeshNode* _mediumNode;
3028 mutable vector<const QFace* > _faces;
3029 mutable gp_Vec _nodeMove;
3030 mutable int _nbMoves;
3032 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3033 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3035 //if ( MediumPos() != SMDS_TOP_3DSPACE )
3036 _nodeMove = MediumPnt() - MiddlePnt();
3038 void SetContinuesFaces() const;
3039 const QFace* GetContinuesFace( const QFace* face ) const;
3040 bool OnBoundary() const;
3041 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3042 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3044 SMDS_TypeOfPosition MediumPos() const
3045 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3046 SMDS_TypeOfPosition EndPos(bool isSecond) const
3047 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3048 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3049 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3051 void Move(const gp_Vec& move, bool sum=false) const
3052 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; }
3053 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3054 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3055 bool IsStraight() const
3056 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3057 _nodeMove.SquareMagnitude());
3059 bool operator<(const QLink& other) const {
3060 return (node1()->GetID() == other.node1()->GetID() ?
3061 node2()->GetID() < other.node2()->GetID() :
3062 node1()->GetID() < other.node1()->GetID());
3064 // struct PtrComparator {
3065 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3068 // ---------------------------------------------------------
3070 * \brief Link in the chain of links; it connects two faces
3074 const QLink* _qlink;
3075 mutable const QFace* _qfaces[2];
3077 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3078 _qfaces[0] = _qfaces[1] = 0;
3080 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3082 bool IsBoundary() const { return !_qfaces[1]; }
3084 void RemoveFace( const QFace* face ) const
3085 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3087 const QFace* NextFace( const QFace* f ) const
3088 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3090 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3091 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3093 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3095 operator bool() const { return (_qlink); }
3097 const QLink* operator->() const { return _qlink; }
3099 gp_Vec Normal() const;
3101 bool IsStraight() const;
3103 // --------------------------------------------------------------------
3104 typedef list< TChainLink > TChain;
3105 typedef set < TChainLink > TLinkSet;
3106 typedef TLinkSet::const_iterator TLinkInSet;
3108 const int theFirstStep = 5;
3110 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3111 // --------------------------------------------------------------------
3113 * \brief Quadratic face shared by two volumes and bound by QLinks
3115 struct QFace: public TIDSortedNodeSet
3117 mutable const SMDS_MeshElement* _volumes[2];
3118 mutable vector< const QLink* > _sides;
3119 mutable bool _sideIsAdded[4]; // added in chain of links
3122 mutable const SMDS_MeshElement* _face;
3125 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3127 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3129 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3131 void AddSelfToLinks() const {
3132 for ( int i = 0; i < _sides.size(); ++i )
3133 _sides[i]->_faces.push_back( this );
3135 int LinkIndex( const QLink* side ) const {
3136 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3139 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3141 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3143 int i = LinkIndex( link._qlink );
3144 if ( i < 0 ) return true;
3145 _sideIsAdded[i] = true;
3146 link.SetFace( this );
3147 // continue from opposite link
3148 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3150 bool IsBoundary() const { return !_volumes[1]; }
3152 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3154 bool IsSpoiled(const QLink* bentLink ) const;
3156 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3157 const TChainLink& avoidLink,
3158 TLinkInSet * notBoundaryLink = 0,
3159 const SMDS_MeshNode* nodeToContain = 0,
3160 bool * isAdjacentUsed = 0,
3161 int nbRecursionsLeft = -1) const;
3163 TLinkInSet GetLinkByNode( const TLinkSet& links,
3164 const TChainLink& avoidLink,
3165 const SMDS_MeshNode* nodeToContain) const;
3167 const SMDS_MeshNode* GetNodeInFace() const {
3168 for ( int iL = 0; iL < _sides.size(); ++iL )
3169 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3173 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3175 double MoveByBoundary( const TChainLink& theLink,
3176 const gp_Vec& theRefVec,
3177 const TLinkSet& theLinks,
3178 SMESH_MesherHelper* theFaceHelper=0,
3179 const double thePrevLen=0,
3180 const int theStep=theFirstStep,
3181 gp_Vec* theLinkNorm=0,
3182 double theSign=1.0) const;
3185 //================================================================================
3187 * \brief Dump QLink and QFace
3189 ostream& operator << (ostream& out, const QLink& l)
3191 out <<"QLink nodes: "
3192 << l.node1()->GetID() << " - "
3193 << l._mediumNode->GetID() << " - "
3194 << l.node2()->GetID() << endl;
3197 ostream& operator << (ostream& out, const QFace& f)
3199 out <<"QFace nodes: "/*<< &f << " "*/;
3200 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3201 out << (*n)->GetID() << " ";
3202 out << " \tvolumes: "
3203 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3204 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3205 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3209 //================================================================================
3211 * \brief Construct QFace from QLinks
3213 //================================================================================
3215 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3217 _volumes[0] = _volumes[1] = 0;
3219 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3220 _normal.SetCoord(0,0,0);
3221 for ( int i = 1; i < _sides.size(); ++i ) {
3222 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3223 insert( l1->node1() ); insert( l1->node2() );
3225 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3226 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3227 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3231 double normSqSize = _normal.SquareMagnitude();
3232 if ( normSqSize > numeric_limits<double>::min() )
3233 _normal /= sqrt( normSqSize );
3235 _normal.SetCoord(1e-33,0,0);
3241 //================================================================================
3243 * \brief Make up a chain of links
3244 * \param iSide - link to add first
3245 * \param chain - chain to fill in
3246 * \param pos - postion of medium nodes the links should have
3247 * \param error - out, specifies what is wrong
3248 * \retval bool - false if valid chain can't be built; "valid" means that links
3249 * of the chain belongs to rectangles bounding hexahedrons
3251 //================================================================================
3253 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3255 if ( iSide >= _sides.size() ) // wrong argument iSide
3257 if ( _sideIsAdded[ iSide ]) // already in chain
3260 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3263 list< const QFace* > faces( 1, this );
3264 while ( !faces.empty() ) {
3265 const QFace* face = faces.front();
3266 for ( int i = 0; i < face->_sides.size(); ++i ) {
3267 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3268 face->_sideIsAdded[i] = true;
3269 // find a face side in the chain
3270 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3271 // TChain::iterator chLink = chain.begin();
3272 // for ( ; chLink != chain.end(); ++chLink )
3273 // if ( chLink->_qlink == face->_sides[i] )
3275 // if ( chLink == chain.end() )
3276 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3277 // add a face to a chained link and put a continues face in the queue
3278 chLink->SetFace( face );
3279 if ( face->_sides[i]->MediumPos() == pos )
3280 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3281 if ( contFace->_sides.size() == 3 )
3282 faces.push_back( contFace );
3287 if ( error < ERR_TRI )
3289 chain.insert( chain.end(), links.begin(),links.end() );
3292 _sideIsAdded[iSide] = true; // not to add this link to chain again
3293 const QLink* link = _sides[iSide];
3297 // add link into chain
3298 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3299 chLink->SetFace( this );
3302 // propagate from a quadrangle to neighbour faces
3303 if ( link->MediumPos() >= pos ) {
3304 int nbLinkFaces = link->_faces.size();
3305 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3306 // hexahedral mesh or boundary quadrangles - goto a continous face
3307 if ( const QFace* f = link->GetContinuesFace( this ))
3308 if ( f->_sides.size() == 4 )
3309 return f->GetLinkChain( *chLink, chain, pos, error );
3312 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3313 for ( int i = 0; i < nbLinkFaces; ++i )
3314 if ( link->_faces[i] )
3315 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3316 if ( error < ERR_PRISM )
3324 //================================================================================
3326 * \brief Return a boundary link of the triangle face
3327 * \param links - set of all links
3328 * \param avoidLink - link not to return
3329 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3330 * \param nodeToContain - node the returned link must contain; if provided, search
3331 * also performed on adjacent faces
3332 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3333 * \param nbRecursionsLeft - to limit recursion
3335 //================================================================================
3337 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3338 const TChainLink& avoidLink,
3339 TLinkInSet * notBoundaryLink,
3340 const SMDS_MeshNode* nodeToContain,
3341 bool * isAdjacentUsed,
3342 int nbRecursionsLeft) const
3344 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3346 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3347 TFaceLinkList adjacentFaces;
3349 for ( int iL = 0; iL < _sides.size(); ++iL )
3351 if ( avoidLink._qlink == _sides[iL] )
3353 TLinkInSet link = links.find( _sides[iL] );
3354 if ( link == linksEnd ) continue;
3355 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3356 continue; // We work on faces here, don't go inside a solid
3359 if ( link->IsBoundary() ) {
3360 if ( !nodeToContain ||
3361 (*link)->node1() == nodeToContain ||
3362 (*link)->node2() == nodeToContain )
3364 boundaryLink = link;
3365 if ( !notBoundaryLink ) break;
3368 else if ( notBoundaryLink ) {
3369 *notBoundaryLink = link;
3370 if ( boundaryLink != linksEnd ) break;
3373 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3374 if ( const QFace* adj = link->NextFace( this ))
3375 if ( adj->Contains( nodeToContain ))
3376 adjacentFaces.push_back( make_pair( adj, link ));
3379 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3380 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3382 if ( nbRecursionsLeft < 0 )
3383 nbRecursionsLeft = nodeToContain->NbInverseElements();
3384 TFaceLinkList::iterator adj = adjacentFaces.begin();
3385 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3386 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3387 isAdjacentUsed, nbRecursionsLeft-1);
3388 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3390 return boundaryLink;
3392 //================================================================================
3394 * \brief Return a link ending at the given node but not avoidLink
3396 //================================================================================
3398 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3399 const TChainLink& avoidLink,
3400 const SMDS_MeshNode* nodeToContain) const
3402 for ( int i = 0; i < _sides.size(); ++i )
3403 if ( avoidLink._qlink != _sides[i] &&
3404 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3405 return links.find( _sides[ i ]);
3409 //================================================================================
3411 * \brief Return normal to the i-th side pointing outside the face
3413 //================================================================================
3415 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3417 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3418 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3419 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3420 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3422 if ( norm * vecOut < 0 )
3424 double mag2 = norm.SquareMagnitude();
3425 if ( mag2 > numeric_limits<double>::min() )
3426 norm /= sqrt( mag2 );
3429 //================================================================================
3431 * \brief Move medium node of theLink according to its distance from boundary
3432 * \param theLink - link to fix
3433 * \param theRefVec - movement of boundary
3434 * \param theLinks - all adjacent links of continous triangles
3435 * \param theFaceHelper - helper is not used so far
3436 * \param thePrevLen - distance from the boundary
3437 * \param theStep - number of steps till movement propagation limit
3438 * \param theLinkNorm - out normal to theLink
3439 * \param theSign - 1 or -1 depending on movement of boundary
3440 * \retval double - distance from boundary to propagation limit or other boundary
3442 //================================================================================
3444 double QFace::MoveByBoundary( const TChainLink& theLink,
3445 const gp_Vec& theRefVec,
3446 const TLinkSet& theLinks,
3447 SMESH_MesherHelper* theFaceHelper,
3448 const double thePrevLen,
3450 gp_Vec* theLinkNorm,
3451 double theSign) const
3454 return thePrevLen; // propagation limit reached
3456 int iL; // index of theLink
3457 for ( iL = 0; iL < _sides.size(); ++iL )
3458 if ( theLink._qlink == _sides[ iL ])
3461 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3462 <<" thePrevLen " << thePrevLen);
3463 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3465 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3466 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3467 if ( theStep == theFirstStep )
3468 theSign = refProj < 0. ? -1. : 1.;
3469 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3470 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3472 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3473 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3474 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3476 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3477 bool isBndLink1 = true, isBndLink2 = true;
3478 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3480 f1 = link1->NextFace( this );
3481 f2 = link2->NextFace( this );
3483 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3484 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3485 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3487 if ( !isBndLink1 && !f1 )
3488 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3489 if ( !isBndLink2 && !f2 )
3490 f2 = (*link2)->GetContinuesFace( this );
3493 else if ( _sides.size() < 4 )
3496 // propagate to adjacent faces till limit step or boundary
3497 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3498 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3499 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3500 gp_Vec linkDir2(0,0,0);
3503 if ( f1 && !isBndLink1 )
3504 len1 = f1->MoveByBoundary
3505 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3507 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3509 MSG( " --------------- EXCEPTION");
3514 if ( f2 && !isBndLink2 )
3515 len2 = f2->MoveByBoundary
3516 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3518 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3520 MSG( " --------------- EXCEPTION");
3525 if ( theStep != theFirstStep )
3527 // choose chain length by direction of propagation most codirected with theRefVec
3528 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3529 fullLen = choose1 ? len1 : len2;
3530 double r = thePrevLen / fullLen;
3532 gp_Vec move = linkNorm * refProj * ( 1 - r );
3533 theLink->Move( move, true );
3535 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3536 " by " << refProj * ( 1 - r ) << " following " <<
3537 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3539 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3544 //================================================================================
3546 * \brief Checks if the face is distorted due to bentLink
3548 //================================================================================
3550 bool QFace::IsSpoiled(const QLink* bentLink ) const
3552 // code is valid for convex faces only
3554 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3555 gc += XYZ( *n ) / size();
3556 for (unsigned i = 0; i < _sides.size(); ++i )
3558 if ( _sides[i] == bentLink ) continue;
3559 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3560 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3561 if ( linkNorm * vecOut < 0 )
3563 double mag2 = linkNorm.SquareMagnitude();
3564 if ( mag2 > numeric_limits<double>::min() )
3565 linkNorm /= sqrt( mag2 );
3566 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3567 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3568 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3575 //================================================================================
3577 * \brief Find pairs of continues faces
3579 //================================================================================
3581 void QLink::SetContinuesFaces() const
3583 // x0 x - QLink, [-|] - QFace, v - volume
3585 // | Between _faces of link x2 two vertical faces are continues
3586 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3587 // | to _faces[0] and _faces[1] and horizontal faces to
3588 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3591 if ( _faces.empty() )
3593 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3594 if ( _faces[0]->IsBoundary() )
3595 iBoundary[ nbBoundary++ ] = 0;
3596 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3598 // look for a face bounding none of volumes bound by _faces[0]
3599 bool sameVol = false;
3600 int nbVol = _faces[iF]->NbVolumes();
3601 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3602 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3603 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3606 if ( _faces[iF]->IsBoundary() )
3607 iBoundary[ nbBoundary++ ] = iF;
3609 // Set continues faces: arrange _faces to have
3610 // _faces[0] continues to _faces[1]
3611 // _faces[2] continues to _faces[3]
3612 if ( nbBoundary == 2 ) // bnd faces are continues
3614 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3616 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3617 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3620 else if ( iFaceCont > 0 ) // continues faces found
3622 if ( iFaceCont != 1 )
3623 std::swap( _faces[1], _faces[iFaceCont] );
3625 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3627 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3630 //================================================================================
3632 * \brief Return a face continues to the given one
3634 //================================================================================
3636 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3638 for ( int i = 0; i < _faces.size(); ++i ) {
3639 if ( _faces[i] == face ) {
3640 int iF = i < 2 ? 1-i : 5-i;
3641 return iF < _faces.size() ? _faces[iF] : 0;
3646 //================================================================================
3648 * \brief True if link is on mesh boundary
3650 //================================================================================
3652 bool QLink::OnBoundary() const
3654 for ( int i = 0; i < _faces.size(); ++i )
3655 if (_faces[i] && _faces[i]->IsBoundary()) return true;
3658 //================================================================================
3660 * \brief Return normal of link of the chain
3662 //================================================================================
3664 gp_Vec TChainLink::Normal() const {
3666 if (_qfaces[0]) norm = _qfaces[0]->_normal;
3667 if (_qfaces[1]) norm += _qfaces[1]->_normal;
3670 //================================================================================
3672 * \brief Test link curvature taking into account size of faces
3674 //================================================================================
3676 bool TChainLink::IsStraight() const
3678 bool isStraight = _qlink->IsStraight();
3679 if ( isStraight && _qfaces[0] && !_qfaces[1] )
3681 int i = _qfaces[0]->LinkIndex( _qlink );
3682 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
3683 gp_XYZ mid1 = _qlink->MiddlePnt();
3684 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
3685 double faceSize2 = (mid1-mid2).SquareModulus();
3686 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
3691 //================================================================================
3693 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
3695 //================================================================================
3697 void fixPrism( TChain& allLinks )
3699 // separate boundary links from internal ones
3700 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
3701 QLinkSet interLinks, bndLinks1, bndLink2;
3703 bool isCurved = false;
3704 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3705 if ( (*lnk)->OnBoundary() )
3706 bndLinks1.insert( lnk->_qlink );
3708 interLinks.insert( lnk->_qlink );
3709 isCurved = isCurved || !lnk->IsStraight();
3712 return; // no need to move
3714 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
3716 while ( !interLinks.empty() && !curBndLinks->empty() )
3718 // propagate movement from boundary links to connected internal links
3719 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
3720 for ( ; bnd != bndEnd; ++bnd )
3722 const QLink* bndLink = *bnd;
3723 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
3725 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
3726 if ( !face ) continue;
3727 // find and move internal link opposite to bndLink within the face
3728 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
3729 const QLink* interLink = face->_sides[ interInd ];
3730 QLinkSet::iterator pInterLink = interLinks.find( interLink );
3731 if ( pInterLink == interLinks.end() ) continue; // not internal link
3732 interLink->Move( bndLink->_nodeMove );
3733 // treated internal links become new boundary ones
3734 interLinks.erase( pInterLink );
3735 newBndLinks->insert( interLink );
3738 curBndLinks->clear();
3739 std::swap( curBndLinks, newBndLinks );
3743 //================================================================================
3745 * \brief Fix links of continues triangles near curved boundary
3747 //================================================================================
3749 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
3751 if ( allLinks.empty() ) return;
3753 TLinkSet linkSet( allLinks.begin(), allLinks.end());
3754 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
3756 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
3758 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
3760 // move iff a boundary link is bent towards inside of a face (issue 0021084)
3761 const QFace* face = linkIt->_qfaces[0];
3762 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
3763 face->_sides[1]->MiddlePnt() +
3764 face->_sides[2]->MiddlePnt() ) / 3.;
3765 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
3766 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
3767 //if ( face->IsSpoiled( linkIt->_qlink ))
3768 if ( linkBentInside )
3769 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
3774 //================================================================================
3776 * \brief Detect rectangular structure of links and build chains from them
3778 //================================================================================
3780 enum TSplitTriaResult {
3781 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
3782 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
3784 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
3785 vector< TChain> & resultChains,
3786 SMDS_TypeOfPosition pos )
3788 // put links in the set and evalute number of result chains by number of boundary links
3791 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3792 linkSet.insert( *lnk );
3793 nbBndLinks += lnk->IsBoundary();
3795 resultChains.clear();
3796 resultChains.reserve( nbBndLinks / 2 );
3798 TLinkInSet linkIt, linksEnd = linkSet.end();
3800 // find a boundary link with corner node; corner node has position pos-2
3801 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
3803 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
3804 const SMDS_MeshNode* corner = 0;
3805 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
3806 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
3811 TLinkInSet startLink = linkIt;
3812 const SMDS_MeshNode* startCorner = corner;
3813 vector< TChain* > rowChains;
3816 while ( startLink != linksEnd) // loop on columns
3818 // We suppose we have a rectangular structure like shown here. We have found a
3819 // corner of the rectangle (startCorner) and a boundary link sharing
3820 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
3821 // --o---o---o structure making several chains at once. One chain (columnChain)
3822 // |\ | /| starts at startLink and continues upward (we look at the structure
3823 // \ | \ | / | from such point that startLink is on the bottom of the structure).
3824 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
3825 // --o---o---o encounter.
3827 // / | \ | \ | startCorner
3832 if ( resultChains.size() == nbBndLinks / 2 )
3834 resultChains.push_back( TChain() );
3835 TChain& columnChain = resultChains.back();
3837 TLinkInSet botLink = startLink; // current horizontal link to go up from
3838 corner = startCorner; // current corner the botLink ends at
3840 while ( botLink != linksEnd ) // loop on rows
3842 // add botLink to the columnChain
3843 columnChain.push_back( *botLink );
3845 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
3847 { // the column ends
3848 if ( botLink == startLink )
3849 return _TWISTED_CHAIN; // issue 0020951
3850 linkSet.erase( botLink );
3851 if ( iRow != rowChains.size() )
3852 return _FEW_ROWS; // different nb of rows in columns
3855 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
3856 // link ending at <corner> (sideLink); there are two cases:
3857 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
3858 // since midQuadLink is not at boundary while sideLink is.
3859 // 2) midQuadLink ends at <corner>
3861 TLinkInSet midQuadLink = linksEnd;
3862 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
3864 if ( isCase2 ) { // find midQuadLink among links of botTria
3865 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
3866 if ( midQuadLink->IsBoundary() )
3867 return _BAD_MIDQUAD;
3869 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
3870 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
3873 columnChain.push_back( *midQuadLink );
3874 if ( iRow >= rowChains.size() ) {
3876 return _MANY_ROWS; // different nb of rows in columns
3877 if ( resultChains.size() == nbBndLinks / 2 )
3879 resultChains.push_back( TChain() );
3880 rowChains.push_back( & resultChains.back() );
3882 rowChains[iRow]->push_back( *sideLink );
3883 rowChains[iRow]->push_back( *midQuadLink );
3885 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
3889 // prepare startCorner and startLink for the next column
3890 startCorner = startLink->NextNode( startCorner );
3892 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
3894 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
3895 // check if no more columns remains
3896 if ( startLink != linksEnd ) {
3897 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
3898 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
3899 startLink = linksEnd; // startLink bounds upTria or botTria
3900 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
3904 // find bottom link and corner for the next row
3905 corner = sideLink->NextNode( corner );
3906 // next bottom link ends at the new corner
3907 linkSet.erase( botLink );
3908 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
3909 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
3911 if ( midQuadLink == startLink || sideLink == startLink )
3912 return _TWISTED_CHAIN; // issue 0020951
3913 linkSet.erase( midQuadLink );
3914 linkSet.erase( sideLink );
3916 // make faces neighboring the found ones be boundary
3917 if ( startLink != linksEnd ) {
3918 const QFace* tria = isCase2 ? botTria : upTria;
3919 for ( int iL = 0; iL < 3; ++iL ) {
3920 linkIt = linkSet.find( tria->_sides[iL] );
3921 if ( linkIt != linksEnd )
3922 linkIt->RemoveFace( tria );
3925 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
3926 botLink->RemoveFace( upTria ); // make next botTria first in vector
3933 // In the linkSet, there must remain the last links of rowChains; add them
3934 if ( linkSet.size() != rowChains.size() )
3935 return _BAD_SET_SIZE;
3936 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
3937 // find the link (startLink) ending at startCorner
3939 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
3940 if ( (*startLink)->node1() == startCorner ) {
3941 corner = (*startLink)->node2(); break;
3943 else if ( (*startLink)->node2() == startCorner) {
3944 corner = (*startLink)->node1(); break;
3947 if ( startLink == linksEnd )
3949 rowChains[ iRow ]->push_back( *startLink );
3950 linkSet.erase( startLink );
3951 startCorner = corner;
3957 //================================================================================
3959 * \brief Place medium nodes at the link middle for elements whose corner nodes
3960 * are out of geometrical boundary to prevent distorting elements.
3961 * Issue 0020982, note 0013990
3963 //================================================================================
3965 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
3966 SMESH_ComputeErrorPtr& theError)
3968 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
3969 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
3970 if ( shape.IsNull() ) return;
3972 if ( !theError ) theError = SMESH_ComputeError::New();
3976 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
3978 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
3980 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
3981 if ( !faceSM ) return;
3983 const TopoDS_Face& face = TopoDS::Face( shape );
3984 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
3986 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
3987 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
3989 // check if the EDGE needs checking
3990 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
3991 if ( SMESH_Algo::isDegenerated( edge ) )
3993 if ( theHelper.IsRealSeam( edge ) &&
3994 edge.Orientation() == TopAbs_REVERSED )
3997 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
3998 if ( !edgeSM ) continue;
4001 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4002 BRepAdaptor_Curve curve3D( edge );
4003 switch ( curve3D.GetType() ) {
4004 case GeomAbs_Line: continue;
4005 case GeomAbs_Circle:
4006 case GeomAbs_Ellipse:
4007 case GeomAbs_Hyperbola:
4008 case GeomAbs_Parabola:
4011 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4012 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4013 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4014 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4015 gp_Vec fNorm = Du1 ^ Dv1;
4016 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4017 continue; // face is normal to the curve3D
4019 gp_Vec curvNorm = fNorm ^ D1;
4020 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4021 if ( curvNorm * D2 > 0 )
4022 continue; // convex edge
4024 catch ( Standard_Failure )
4029 // get nodes shared by faces that may be distorted
4030 SMDS_NodeIteratorPtr nodeIt;
4031 if ( edgeSM->NbNodes() > 0 ) {
4032 nodeIt = edgeSM->GetNodes();
4035 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4037 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4038 if ( !vertexSM ) continue;
4039 nodeIt = vertexSM->GetNodes();
4042 // find suspicious faces
4043 TIDSortedElemSet checkedFaces;
4044 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4045 const SMDS_MeshNode* nOnFace;
4046 while ( nodeIt->more() )
4048 const SMDS_MeshNode* n = nodeIt->next();
4049 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4050 while ( faceIt->more() )
4052 const SMDS_MeshElement* f = faceIt->next();
4053 if ( !faceSM->Contains( f ) ||
4054 f->NbNodes() < 6 || // check quadratic triangles only
4055 !checkedFaces.insert( f ).second )
4058 // get nodes on EDGE and on FACE of a suspicious face
4059 nOnEdge.clear(); nOnFace = 0;
4060 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4061 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4064 if ( n->GetPosition()->GetDim() == 2 )
4067 nOnEdge.push_back( n );
4070 // check if nOnFace is inside the FACE
4071 if ( nOnFace && nOnEdge.size() == 2 )
4073 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4074 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4076 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4077 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4078 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true );
4079 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4080 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4081 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4082 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4083 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4084 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4086 // nOnFace is out of FACE, move a medium on-edge node to the middle
4087 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4088 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4089 MSG( "move OUT of face " << n );
4090 theError->myBadElements.push_back( f );
4096 if ( !theError->myBadElements.empty() )
4097 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4100 } // 2D ==============================================================================
4102 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4104 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4105 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4107 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4108 if ( !solidSM ) return;
4110 // check if the SOLID is bound by concave FACEs
4111 vector< TopoDS_Face > concaveFaces;
4112 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4113 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4115 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4116 if ( !meshDS->MeshElements( face )) continue;
4118 BRepAdaptor_Surface surface( face );
4119 switch ( surface.GetType() ) {
4120 case GeomAbs_Plane: continue;
4121 case GeomAbs_Cylinder:
4123 case GeomAbs_Sphere:
4126 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4127 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4128 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4129 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4130 gp_Vec fNorm = Du1 ^ Dv1;
4131 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4132 bool concaveU = ( fNorm * Du2 > 1e-100 );
4133 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4134 if ( concaveU || concaveV )
4135 concaveFaces.push_back( face );
4137 catch ( Standard_Failure )
4139 concaveFaces.push_back( face );
4143 if ( concaveFaces.empty() )
4146 // fix 2D mesh on the SOLID
4147 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4149 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4150 faceHelper.SetSubShape( faceIt.Current() );
4151 force3DOutOfBoundary( faceHelper, theError );
4154 // get an iterator over faces on concaveFaces
4155 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4156 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4157 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4158 typedef SMDS_IteratorOnIterators
4159 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4160 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4162 // a seacher to check if a volume is close to a concave face
4163 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4164 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4167 //BRepClass3d_SolidClassifier solidClassifier( shape );
4169 TIDSortedElemSet checkedVols, movedNodes;
4170 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4171 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4173 //const TopoDS_Shape& face = faceIt.Current();
4174 const TopoDS_Shape& face = concaveFaces[ iF ];
4175 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4176 if ( !faceSM ) continue;
4178 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4179 SMDS_NodeIteratorPtr nodeIt;
4180 if ( faceSM->NbNodes() > 0 ) {
4181 nodeIt = faceSM->GetNodes();
4184 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4185 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4186 if ( !vertexSM ) continue;
4187 nodeIt = vertexSM->GetNodes();
4189 // get ids of sub-shapes of the FACE
4191 SMESH_subMeshIteratorPtr smIt =
4192 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4193 while ( smIt->more() )
4194 subIDs.insert( smIt->next()->GetId() );
4196 // find suspicious volumes adjacent to the FACE
4197 vector< const SMDS_MeshNode* > nOnFace( 4 );
4198 const SMDS_MeshNode* nInSolid;
4199 while ( nodeIt->more() )
4201 const SMDS_MeshNode* n = nodeIt->next();
4202 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4203 while ( volIt->more() )
4205 const SMDS_MeshElement* vol = volIt->next();
4206 int nbN = vol->NbCornerNodes();
4207 if ( ( nbN != 4 && nbN != 5 ) ||
4208 !solidSM->Contains( vol ) ||
4209 !checkedVols.insert( vol ).second )
4212 // get nodes on FACE and in SOLID of a suspicious volume
4213 nOnFace.clear(); nInSolid = 0;
4214 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4215 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4218 if ( n->GetPosition()->GetDim() == 3 )
4220 else if ( subIDs.count( n->getshapeId() ))
4221 nOnFace.push_back( n );
4225 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4228 // get size of the vol
4229 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4230 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4231 for ( size_t i = 1; i < nOnFace.size(); ++i )
4233 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4236 // check if vol is close to concaveFaces
4237 const SMDS_MeshElement* closeFace =
4238 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4240 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4243 // check if vol is distorted, i.e. a medium node is much closer
4244 // to nInSolid than the link middle
4245 bool isDistorted = false;
4246 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4247 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4249 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4250 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4251 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4252 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4254 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4255 TLinkNodeMap::const_iterator linkIt =
4256 theHelper.GetTLinkNodeMap().find( link );
4257 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4259 links.push_back( make_pair( linkIt->first, linkIt->second ));
4260 if ( !isDistorted ) {
4261 // compare projections of nInSolid and nMedium to face normal
4262 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4263 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4264 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4265 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4269 // move medium nodes to link middle
4272 for ( size_t i = 0; i < links.size(); ++i )
4274 const SMDS_MeshNode* nMedium = links[i].second;
4275 if ( movedNodes.insert( nMedium ).second )
4277 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4278 SMESH_TNodeXYZ( links[i].first.node2() ));
4279 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4280 MSG( "move OUT of solid " << nMedium );
4283 theError->myBadElements.push_back( vol );
4285 } // loop on volumes sharing a node on FACE
4286 } // loop on nodes on FACE
4287 } // loop on FACEs of a SOLID
4289 if ( !theError->myBadElements.empty() )
4290 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4296 //=======================================================================
4298 * \brief Move medium nodes of faces and volumes to fix distorted elements
4299 * \param error - container of fixed distorted elements
4300 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4302 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4304 //=======================================================================
4306 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4309 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4310 if ( getenv("NO_FixQuadraticElements") )
4313 // 0. Apply algorithm to SOLIDs or FACEs
4314 // ----------------------------------------------
4315 if ( myShape.IsNull() ) {
4316 if ( !myMesh->HasShapeToMesh() ) return;
4317 SetSubShape( myMesh->GetShapeToMesh() );
4321 TopTools_IndexedMapOfShape solids;
4322 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4323 nbSolids = solids.Extent();
4325 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4326 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4327 faces.Add( f.Current() ); // not in solid
4329 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4330 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4331 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4332 faces.Add( f.Current() ); // in not meshed solid
4334 else { // fix nodes in the solid and its faces
4336 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4338 SMESH_MesherHelper h(*myMesh);
4339 h.SetSubShape( s.Current() );
4340 h.ToFixNodeParameters(true);
4341 h.FixQuadraticElements( compError, false );
4344 // fix nodes on geom faces
4346 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4348 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4349 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4350 SMESH_MesherHelper h(*myMesh);
4351 h.SetSubShape( fIt.Key() );
4352 h.ToFixNodeParameters(true);
4353 h.FixQuadraticElements( compError, true);
4355 //perf_print_all_meters(1);
4356 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4357 compError->myComment = "during conversion to quadratic, "
4358 "some medium nodes were not placed on geometry to avoid distorting elements";
4362 // 1. Find out type of elements and get iterator on them
4363 // ---------------------------------------------------
4365 SMDS_ElemIteratorPtr elemIt;
4366 SMDSAbs_ElementType elemType = SMDSAbs_All;
4368 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4371 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4372 elemIt = smDS->GetElements();
4373 if ( elemIt->more() ) {
4374 elemType = elemIt->next()->GetType();
4375 elemIt = smDS->GetElements();
4378 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4381 // 2. Fill in auxiliary data structures
4382 // ----------------------------------
4386 set< QLink >::iterator pLink;
4387 set< QFace >::iterator pFace;
4389 bool isCurved = false;
4390 //bool hasRectFaces = false;
4391 //set<int> nbElemNodeSet;
4392 SMDS_VolumeTool volTool;
4394 TIDSortedNodeSet apexOfPyramid;
4395 const int apexIndex = 4;
4398 // Move medium nodes to the link middle for elements whose corner nodes
4399 // are out of geometrical boundary to fix distorted elements.
4400 force3DOutOfBoundary( *this, compError );
4402 if ( elemType == SMDSAbs_Volume )
4404 while ( elemIt->more() ) // loop on volumes
4406 const SMDS_MeshElement* vol = elemIt->next();
4407 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4409 double volMinSize2 = -1.;
4410 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4412 int nbN = volTool.NbFaceNodes( iF );
4413 //nbElemNodeSet.insert( nbN );
4414 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4415 vector< const QLink* > faceLinks( nbN/2 );
4416 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4419 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4420 pLink = links.insert( link ).first;
4421 faceLinks[ iN/2 ] = & *pLink;
4423 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4425 if ( !link.IsStraight() )
4426 return; // already fixed
4428 else if ( !isCurved )
4430 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4431 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4435 pFace = faces.insert( QFace( faceLinks )).first;
4436 if ( pFace->NbVolumes() == 0 )
4437 pFace->AddSelfToLinks();
4438 pFace->SetVolume( vol );
4439 // hasRectFaces = hasRectFaces ||
4440 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4441 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4444 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4446 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4447 faceNodes[4],faceNodes[6] );
4450 // collect pyramid apexes for further correction
4451 if ( vol->NbCornerNodes() == 5 )
4452 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4454 set< QLink >::iterator pLink = links.begin();
4455 for ( ; pLink != links.end(); ++pLink )
4456 pLink->SetContinuesFaces();
4460 while ( elemIt->more() ) // loop on faces
4462 const SMDS_MeshElement* face = elemIt->next();
4463 if ( !face->IsQuadratic() )
4465 //nbElemNodeSet.insert( face->NbNodes() );
4466 int nbN = face->NbNodes()/2;
4467 vector< const QLink* > faceLinks( nbN );
4468 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4471 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4472 pLink = links.insert( link ).first;
4473 faceLinks[ iN ] = & *pLink;
4475 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4476 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4477 isCurved = !link.IsStraight();
4480 pFace = faces.insert( QFace( faceLinks )).first;
4481 pFace->AddSelfToLinks();
4482 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4486 return; // no curved edges of faces
4488 // 3. Compute displacement of medium nodes
4489 // ---------------------------------------
4491 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4492 TopLoc_Location loc;
4494 // not to treat boundary of volumic sub-mesh.
4495 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4496 for ( ; isInside < 2; ++isInside )
4498 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4499 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4500 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4502 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4503 if ( bool(isInside) == pFace->IsBoundary() )
4505 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4508 // make chain of links connected via continues faces
4511 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4513 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4515 vector< TChain > chains;
4516 if ( error == ERR_OK ) { // chain contains continues rectangles
4518 chains[0].splice( chains[0].begin(), rawChain );
4520 else if ( error == ERR_TRI ) { // chain contains continues triangles
4521 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4522 if ( res != _OK ) { // not quadrangles split into triangles
4523 fixTriaNearBoundary( rawChain, *this );
4527 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4528 fixPrism( rawChain );
4534 for ( int iC = 0; iC < chains.size(); ++iC )
4536 TChain& chain = chains[iC];
4537 if ( chain.empty() ) continue;
4538 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4539 MSG("3D straight - ignore");
4542 if ( chain.front()->MediumPos() > bndPos ||
4543 chain.back() ->MediumPos() > bndPos ) {
4544 MSG("Internal chain - ignore");
4547 // mesure chain length and compute link position along the chain
4548 double chainLen = 0;
4549 vector< double > linkPos;
4550 MSGBEG( "Link medium nodes: ");
4551 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4552 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4553 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4554 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4555 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4556 link1 = chain.erase( link1 );
4557 if ( link1 == chain.end() )
4559 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4562 linkPos.push_back( chainLen );
4565 if ( linkPos.size() < 2 )
4568 gp_Vec move0 = chain.front()->_nodeMove;
4569 gp_Vec move1 = chain.back ()->_nodeMove;
4574 // compute node displacement of end links of chain in parametric space of face
4575 TChainLink& linkOnFace = *(++chain.begin());
4576 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4577 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4578 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4580 face = TopoDS::Face( f );
4581 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4583 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4585 TChainLink& link = is1 ? chain.back() : chain.front();
4586 gp_XY uvm = GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV);
4587 gp_XY uv1 = GetNodeUV( face, link->node1(), nodeOnFace, &checkUV);
4588 gp_XY uv2 = GetNodeUV( face, link->node2(), nodeOnFace, &checkUV);
4589 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4590 // uvMove = uvm - uv12
4591 gp_XY uvMove = applyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4592 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4593 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4594 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4595 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4596 10 * uvMove.SquareModulus());
4598 if ( isStraight[0] && isStraight[1] ) {
4599 MSG("2D straight - ignore");
4600 continue; // straight - no need to move nodes of internal links
4603 // check if a chain is already fixed
4604 gp_XY uvm = GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV);
4605 gp_XY uv1 = GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV);
4606 gp_XY uv2 = GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV);
4607 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4608 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4610 MSG("Already fixed - ignore");
4616 if ( isInside || face.IsNull() )
4618 // compute node displacement of end links in their local coord systems
4620 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4621 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4622 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4623 move0.Transform(trsf);
4626 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
4627 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
4628 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4629 move1.Transform(trsf);
4632 // compute displacement of medium nodes
4633 link2 = chain.begin();
4636 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
4638 double r = linkPos[i] / chainLen;
4639 // displacement in local coord system
4640 gp_Vec move = (1. - r) * move0 + r * move1;
4641 if ( isInside || face.IsNull()) {
4642 // transform to global
4643 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
4644 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
4645 gp_Vec x = x01.Normalized() + x12.Normalized();
4646 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
4647 move.Transform(trsf);
4650 // compute 3D displacement by 2D one
4651 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
4652 gp_XY oldUV = GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV);
4653 gp_XY newUV = applyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added);
4654 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
4655 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
4656 if ( SMDS_FacePosition* nPos =
4657 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
4658 nPos->SetParameters( newUV.X(), newUV.Y() );
4660 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
4661 move.SquareMagnitude())
4663 gp_XY uv0 = GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV);
4664 gp_XY uv2 = GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV);
4665 MSG( "TOO LONG MOVE \t" <<
4666 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
4667 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
4668 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
4669 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
4673 (*link1)->Move( move );
4674 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
4675 << chain.front()->_mediumNode->GetID() <<"-"
4676 << chain.back ()->_mediumNode->GetID() <<
4677 " by " << move.Magnitude());
4679 } // loop on chains of links
4680 } // loop on 2 directions of propagation from quadrangle
4682 } // fix faces and/or volumes
4687 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
4688 const SMDS_MeshElement *biQuadQua, *triQuadHex;
4689 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
4690 myMesh->NbBiQuadTriangles() +
4691 myMesh->NbTriQuadraticHexas() );
4693 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
4694 if ( pLink->IsMoved() )
4696 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
4697 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
4699 // collect bi-quadratic elements
4700 if ( toFixCentralNodes )
4702 biQuadQua = triQuadHex = 0;
4703 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
4704 while ( eIt->more() )
4706 const SMDS_MeshElement* e = eIt->next();
4707 switch( e->GetEntityType() ) {
4708 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
4709 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
4710 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
4717 // Fix positions of central nodes of bi-tri-quadratic elements
4719 // treat bi-quad quadrangles
4721 vector< const SMDS_MeshNode* > nodes( 9 );
4723 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
4724 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
4726 const SMDS_MeshElement* quad = *quadIt;
4729 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
4731 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
4732 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4733 const TopoDS_Face& F = TopoDS::Face( S );
4734 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4735 const double tol = BRep_Tool::Tolerance( F );
4737 for ( int i = 0; i < 8; ++i )
4739 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
4740 // as this method is used after mesh generation, UV of nodes is not
4741 // updated according to bending links, so we update
4742 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4743 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4745 // move the central node
4746 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
4747 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4748 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
4752 // treat bi-quad triangles
4754 vector< const SMDS_MeshNode* > nodes;
4756 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
4757 for ( ; triIt != biQuadTris.end(); ++triIt )
4759 const SMDS_MeshElement* tria = *triIt;
4761 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
4762 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4763 const TopoDS_Face& F = TopoDS::Face( S );
4764 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4765 const double tol = BRep_Tool::Tolerance( F );
4768 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
4770 for ( int i = 0; i < 6; ++i )
4772 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &checkUV );
4773 // as this method is used after mesh generation, UV of nodes is not
4774 // updated according to bending links, so we update
4775 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4776 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4778 // move the central node
4779 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5] );
4780 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4781 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
4785 // treat tri-quadratic hexahedra
4787 SMDS_VolumeTool volExp;
4788 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
4789 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
4791 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
4793 // fix nodes central in sides
4794 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
4796 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
4797 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
4799 gp_XYZ p = calcTFI( 0.5, 0.5,
4800 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
4801 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
4802 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
4803 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
4804 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
4808 // fix the volume central node
4809 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
4810 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
4812 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
4813 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
4814 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
4815 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
4816 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
4817 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
4818 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
4819 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
4821 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
4822 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
4823 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
4824 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
4825 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
4826 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
4827 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
4828 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
4829 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
4830 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
4831 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
4832 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
4834 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
4835 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
4836 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
4837 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
4838 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
4839 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
4841 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
4842 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
4843 GetMeshDS()->MoveNode( hexNodes[26],
4844 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());