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() );
245 // TopLoc_Location loc;
246 // Handle(Geom_Surface) surface = BRep_Tool::Surface( face, loc );
248 // if ( surface->IsUPeriodic() || surface->IsVPeriodic() ||
249 // surface->IsUClosed() || surface->IsVClosed() )
251 //while ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
252 //surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
254 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
256 // look for a seam edge
257 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
258 if ( BRep_Tool::IsClosed( edge, face )) {
259 // initialize myPar1, myPar2 and myParIndex
261 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
262 if ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Abs( uv1.Coord(2) - uv2.Coord(2) ))
264 double u1 = uv1.Coord(1);
266 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
267 double u2 = uv1.Coord(1);
268 myParIndex |= U_periodic;
269 myPar1[0] = Min( u1, u2 );
270 myPar2[0] = Max( u1, u2 );
273 double v1 = uv1.Coord(2);
275 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
276 double v2 = uv1.Coord(2);
277 myParIndex |= V_periodic;
278 myPar1[1] = Min( v1, v2 );
279 myPar2[1] = Max( v1, v2 );
281 // store seam shape indices, negative if shape encounters twice
282 int edgeID = meshDS->ShapeToIndex( edge );
283 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
284 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
285 int vertexID = meshDS->ShapeToIndex( v.Current() );
286 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
290 // look for a degenerated edge
291 if ( SMESH_Algo::isDegenerated( edge )) {
292 myDegenShapeIds.insert( meshDS->ShapeToIndex( edge ));
293 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
294 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
297 if ( !myDegenShapeIds.empty() && !myParIndex )
299 BRepAdaptor_Surface surf( face, false );
300 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
301 myParIndex |= U_periodic;
302 myPar1[0] = surf.FirstUParameter();
303 myPar2[0] = surf.LastUParameter();
305 else if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
306 myParIndex |= V_periodic;
307 myPar1[1] = surf.FirstVParameter();
308 myPar2[1] = surf.LastVParameter();
315 //=======================================================================
316 //function : GetNodeUVneedInFaceNode
317 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
318 // Return true if the face is periodic.
319 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
321 //=======================================================================
323 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
325 if ( F.IsNull() ) return !mySeamShapeIds.empty();
327 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
328 return !mySeamShapeIds.empty();
331 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
332 if ( !aSurface.IsNull() )
333 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
338 //=======================================================================
339 //function : IsMedium
341 //=======================================================================
343 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
344 const SMDSAbs_ElementType typeToCheck)
346 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
349 //=======================================================================
350 //function : GetSubShapeByNode
351 //purpose : Return support shape of a node
352 //=======================================================================
354 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
355 const SMESHDS_Mesh* meshDS)
357 int shapeID = node ? node->getshapeId() : 0;
358 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
359 return meshDS->IndexToShape( shapeID );
361 return TopoDS_Shape();
365 //=======================================================================
366 //function : AddTLinkNode
367 //purpose : add a link in my data structure
368 //=======================================================================
370 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
371 const SMDS_MeshNode* n2,
372 const SMDS_MeshNode* n12)
374 // add new record to map
375 SMESH_TLink link( n1, n2 );
376 myTLinkNodeMap.insert( make_pair(link,n12));
379 //================================================================================
381 * \brief Add quadratic links of edge to own data structure
383 //================================================================================
385 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
387 if ( edge->IsQuadratic() )
388 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
391 //================================================================================
393 * \brief Add quadratic links of face to own data structure
395 //================================================================================
397 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
400 switch ( f->NbNodes() ) {
402 // myMapWithCentralNode.insert
403 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
405 // break; -- add medium nodes as well
407 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
408 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
409 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
412 // myMapWithCentralNode.insert
413 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
415 // break; -- add medium nodes as well
417 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
418 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
419 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
420 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
425 //================================================================================
427 * \brief Add quadratic links of volume to own data structure
429 //================================================================================
431 void SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
433 if ( volume->IsQuadratic() )
435 SMDS_VolumeTool vTool( volume );
436 const SMDS_MeshNode** nodes = vTool.GetNodes();
438 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
440 const int nbN = vTool.NbFaceNodes( iF );
441 const int* iNodes = vTool.GetFaceNodesIndices( iF );
442 for ( int i = 0; i < nbN; )
444 int iN1 = iNodes[i++];
445 int iN12 = iNodes[i++];
447 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
448 int linkID = iN1 * vTool.NbNodes() + iN2;
449 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
450 if ( it_isNew.second )
451 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
453 addedLinks.erase( it_isNew.first ); // each link encounters only twice
455 if ( vTool.NbNodes() == 27 )
457 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
458 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
459 myMapWithCentralNode.insert
460 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
461 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
468 //================================================================================
470 * \brief Return true if position of nodes on the shape hasn't yet been checked or
471 * the positions proved to be invalid
473 //================================================================================
475 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
477 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
478 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
481 //================================================================================
483 * \brief Set validity of positions of nodes on the shape.
484 * Once set, validity is not changed
486 //================================================================================
488 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
490 std::map< int,bool >::iterator sh_ok =
491 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
496 //=======================================================================
497 //function : ToFixNodeParameters
498 //purpose : Enables fixing node parameters on EDGEs and FACEs in
499 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
500 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
502 //=======================================================================
504 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
506 myFixNodeParameters = toFix;
510 //=======================================================================
511 //function : GetUVOnSeam
512 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
513 //=======================================================================
515 gp_Pnt2d SMESH_MesherHelper::GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
517 gp_Pnt2d result = uv1;
518 for ( int i = U_periodic; i <= V_periodic ; ++i )
520 if ( myParIndex & i )
522 double p1 = uv1.Coord( i );
523 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
524 if ( myParIndex == i ||
525 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
526 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
528 double p2 = uv2.Coord( i );
529 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
530 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
531 result.SetCoord( i, p1Alt );
538 //=======================================================================
539 //function : GetNodeUV
540 //purpose : Return node UV on face
541 //=======================================================================
543 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
544 const SMDS_MeshNode* n,
545 const SMDS_MeshNode* n2,
548 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
550 const SMDS_PositionPtr Pos = n->GetPosition();
552 if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE)
554 // node has position on face
555 const SMDS_FacePosition* fpos =
556 static_cast<const SMDS_FacePosition*>( Pos );
557 uv.SetCoord(fpos->GetUParameter(),fpos->GetVParameter());
559 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
561 else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE)
563 // node has position on edge => it is needed to find
564 // corresponding edge from face, get pcurve for this
565 // edge and retrieve value from this pcurve
566 const SMDS_EdgePosition* epos =
567 static_cast<const SMDS_EdgePosition*>( Pos );
568 int edgeID = n->getshapeId();
569 TopoDS_Edge E = TopoDS::Edge(GetMeshDS()->IndexToShape(edgeID));
570 double f, l, u = epos->GetUParameter();
571 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
572 bool validU = ( f < u && u < l );
574 uv = C2d->Value( u );
576 uv.SetCoord( Precision::Infinite(),0.);
577 if ( check || !validU )
578 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ),/*force=*/ !validU );
580 // for a node on a seam edge select one of UVs on 2 pcurves
581 if ( n2 && IsSeamShape( edgeID ) )
583 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
586 { // adjust uv to period
588 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
589 Standard_Boolean isUPeriodic = S->IsUPeriodic();
590 Standard_Boolean isVPeriodic = S->IsVPeriodic();
591 if ( isUPeriodic || isVPeriodic ) {
592 Standard_Real UF,UL,VF,VL;
593 S->Bounds(UF,UL,VF,VL);
595 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
597 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
601 else if(Pos->GetTypeOfPosition()==SMDS_TOP_VERTEX)
603 if ( int vertexID = n->getshapeId() ) {
604 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
606 uv = BRep_Tool::Parameters( V, F );
609 catch (Standard_Failure& exc) {
612 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
613 uvOK = ( V == vert.Current() );
615 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
616 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
617 // get UV of a vertex closest to the node
619 gp_Pnt pn = XYZ( n );
620 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() ) {
621 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
622 gp_Pnt p = BRep_Tool::Pnt( curV );
623 double curDist = p.SquareDistance( pn );
624 if ( curDist < dist ) {
626 uv = BRep_Tool::Parameters( curV, F );
627 uvOK = ( dist < DBL_MIN );
633 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
634 for ( ; it.More(); it.Next() ) {
635 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
636 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
638 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
639 if ( !C2d.IsNull() ) {
640 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
641 uv = C2d->Value( u );
649 if ( n2 && IsSeamShape( vertexID ) )
650 uv = GetUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
655 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 10*MaxTolerance( F ));
664 //=======================================================================
665 //function : CheckNodeUV
666 //purpose : Check and fix node UV on a face
667 //=======================================================================
669 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
670 const SMDS_MeshNode* n,
674 double distXYZ[4]) const
676 int shapeID = n->getshapeId();
677 bool infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ));
678 bool zero = ( uv.X() == 0. && uv.Y() == 0. );
679 if ( force || toCheckPosOnShape( shapeID ) || infinit || zero )
681 // check that uv is correct
683 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
684 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
686 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
688 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
690 setPosOnShapeValidity( shapeID, false );
691 if ( !infinit && distXYZ ) {
692 surfPnt.Transform( loc );
694 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
696 // uv incorrect, project the node to surface
697 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
698 projector.Perform( nodePnt );
699 if ( !projector.IsDone() || projector.NbPoints() < 1 )
701 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
704 Quantity_Parameter U,V;
705 projector.LowerDistanceParameters(U,V);
707 surfPnt = surface->Value( U, V );
708 dist = nodePnt.Distance( surfPnt );
710 surfPnt.Transform( loc );
712 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
716 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
719 // store the fixed UV on the face
720 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
721 const_cast<SMDS_MeshNode*>(n)->SetPosition
722 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
724 else if ( uv.Modulus() > numeric_limits<double>::min() )
726 setPosOnShapeValidity( shapeID, true );
732 //=======================================================================
733 //function : GetProjector
734 //purpose : Return projector intitialized by given face without location, which is returned
735 //=======================================================================
737 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
738 TopLoc_Location& loc,
741 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
742 int faceID = GetMeshDS()->ShapeToIndex( F );
743 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
744 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
745 if ( i_proj == i2proj.end() )
747 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
748 double U1, U2, V1, V2;
749 surface->Bounds(U1, U2, V1, V2);
750 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
751 proj->Init( surface, U1, U2, V1, V2, tol );
752 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
754 return *( i_proj->second );
759 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
760 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
761 gp_XY_FunPtr(Subtracted);
764 //=======================================================================
765 //function : applyIn2D
766 //purpose : Perform given operation on two 2d points in parameric space of given surface.
767 // It takes into account period of the surface. Use gp_XY_FunPtr macro
768 // to easily define pointer to function of gp_XY class.
769 //=======================================================================
771 gp_XY SMESH_MesherHelper::applyIn2D(const Handle(Geom_Surface)& surface,
775 const bool resultInPeriod)
777 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
778 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
779 if ( !isUPeriodic && !isVPeriodic )
782 // move uv2 not far than half-period from uv1
784 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
786 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
789 gp_XY res = fun( uv1, gp_XY(u2,v2) );
791 // move result within period
792 if ( resultInPeriod )
794 Standard_Real UF,UL,VF,VL;
795 surface->Bounds(UF,UL,VF,VL);
797 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
799 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
804 //=======================================================================
805 //function : GetMiddleUV
806 //purpose : Return middle UV taking in account surface period
807 //=======================================================================
809 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
814 // the proper place of getting basic surface seems to be in applyIn2D()
815 // but we put it here to decrease a risk of regressions just before releasing a version
816 Handle(Geom_Surface) surf = surface;
817 while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
818 surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
820 return applyIn2D( surf, p1, p2, & AverageUV );
823 //=======================================================================
824 //function : GetCenterUV
825 //purpose : Return UV for the central node of a biquadratic triangle
826 //=======================================================================
828 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
834 bool * isBadTria/*=0*/)
837 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
839 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
840 uvAvg = ( uv1 + uv23 ) / 2.;
841 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
842 uvAvg = ( uv2 + uv31 ) / 2.;
843 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
844 uvAvg = ( uv3 + uv12 ) / 2.;
847 *isBadTria = badTria;
851 //=======================================================================
852 //function : GetNodeU
853 //purpose : Return node U on edge
854 //=======================================================================
856 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
857 const SMDS_MeshNode* n,
858 const SMDS_MeshNode* inEdgeNode,
861 double param = Precision::Infinite();
863 const SMDS_PositionPtr pos = n->GetPosition();
864 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
866 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
867 param = epos->GetUParameter();
869 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
871 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
874 BRep_Tool::Range( E, f,l );
875 double uInEdge = GetNodeU( E, inEdgeNode );
876 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
880 SMESHDS_Mesh * meshDS = GetMeshDS();
881 int vertexID = n->getshapeId();
882 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
883 param = BRep_Tool::Parameter( V, E );
888 double tol = BRep_Tool::Tolerance( E );
889 double f,l; BRep_Tool::Range( E, f,l );
890 bool force = ( param < f-tol || param > l+tol );
891 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
892 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
894 *check = CheckNodeU( E, n, param, 2*tol, force );
899 //=======================================================================
900 //function : CheckNodeU
901 //purpose : Check and fix node U on an edge
902 // Return false if U is bad and could not be fixed
903 //=======================================================================
905 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
906 const SMDS_MeshNode* n,
910 double distXYZ[4]) const
912 int shapeID = n->getshapeId();
913 bool infinit = Precision::IsInfinite( u );
914 bool zero = ( u == 0. );
915 if ( force || toCheckPosOnShape( shapeID ) || infinit || zero )
917 TopLoc_Location loc; double f,l;
918 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
919 if ( curve.IsNull() ) // degenerated edge
921 if ( u+tol < f || u-tol > l )
923 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
929 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
930 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
935 curvPnt = curve->Value( u );
936 dist = nodePnt.Distance( curvPnt );
938 curvPnt.Transform( loc );
940 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
945 setPosOnShapeValidity( shapeID, false );
946 // u incorrect, project the node to the curve
947 int edgeID = GetMeshDS()->ShapeToIndex( E );
948 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
949 TID2ProjectorOnCurve::iterator i_proj =
950 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
951 if ( !i_proj->second )
953 i_proj->second = new GeomAPI_ProjectPointOnCurve();
954 i_proj->second->Init( curve, f, l );
956 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
957 projector->Perform( nodePnt );
958 if ( projector->NbPoints() < 1 )
960 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
963 Quantity_Parameter U = projector->LowerDistanceParameter();
965 MESSAGE(" f " << f << " l " << l << " u " << u);
966 curvPnt = curve->Value( u );
967 dist = nodePnt.Distance( curvPnt );
969 curvPnt.Transform( loc );
971 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
975 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
976 MESSAGE("distance " << dist << " " << tol );
979 // store the fixed U on the edge
980 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
981 const_cast<SMDS_MeshNode*>(n)->SetPosition
982 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
984 else if ( fabs( u ) > numeric_limits<double>::min() )
986 setPosOnShapeValidity( shapeID, true );
988 if (( u < f-tol || u > l+tol ) && force )
990 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
991 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
994 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
995 double period = curve->Period();
996 u = ( u < f ) ? u + period : u - period;
998 catch (Standard_Failure& exc)
1008 //=======================================================================
1009 //function : GetMediumPos
1010 //purpose : Return index and type of the shape (EDGE or FACE only) to
1011 // set a medium node on
1012 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1014 //=======================================================================
1016 std::pair<int, TopAbs_ShapeEnum>
1017 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1018 const SMDS_MeshNode* n2,
1019 const bool useCurSubShape)
1021 if ( useCurSubShape && !myShape.IsNull() )
1022 return std::make_pair( myShapeID, myShape.ShapeType() );
1024 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1028 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1030 shapeType = myShape.ShapeType();
1031 shapeID = myShapeID;
1033 else if ( n1->getshapeId() == n2->getshapeId() )
1035 shapeID = n2->getshapeId();
1036 shape = GetSubShapeByNode( n1, GetMeshDS() );
1040 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1041 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1043 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1046 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1048 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE )
1050 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1051 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1052 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1053 if ( IsSubShape( S, F ))
1055 shapeType = TopAbs_FACE;
1056 shapeID = n1->getshapeId();
1060 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1062 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1063 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1064 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1066 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1068 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1069 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1070 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1071 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1073 else // VERTEX and EDGE
1075 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1076 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1077 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1078 if ( IsSubShape( V, E ))
1081 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1085 if ( !shape.IsNull() )
1088 shapeID = GetMeshDS()->ShapeToIndex( shape );
1089 shapeType = shape.ShapeType();
1091 return make_pair( shapeID, shapeType );
1094 //=======================================================================
1095 //function : GetCentralNode
1096 //purpose : Return existing or create a new central node for a quardilateral
1097 // quadratic face given its 8 nodes.
1098 //@param : force3d - true means node creation in between the given nodes,
1099 // else node position is found on a geometrical face if any.
1100 //=======================================================================
1102 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1103 const SMDS_MeshNode* n2,
1104 const SMDS_MeshNode* n3,
1105 const SMDS_MeshNode* n4,
1106 const SMDS_MeshNode* n12,
1107 const SMDS_MeshNode* n23,
1108 const SMDS_MeshNode* n34,
1109 const SMDS_MeshNode* n41,
1112 SMDS_MeshNode *centralNode = 0; // central node to return
1114 // Find an existing central node
1116 TBiQuad keyOfMap(n1,n2,n3,n4);
1117 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1118 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1119 if ( itMapCentralNode != myMapWithCentralNode.end() )
1121 return (*itMapCentralNode).second;
1124 // Get type of shape for the new central node
1126 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1130 TopTools_ListIteratorOfListOfShape it;
1132 std::map< int, int > faceId2nbNodes;
1133 std::map< int, int > ::iterator itMapWithIdFace;
1135 SMESHDS_Mesh* meshDS = GetMeshDS();
1137 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1138 // on sub-shapes of the FACE
1139 if ( GetMesh()->HasShapeToMesh() )
1141 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1142 for(int i = 0; i < 4; i++)
1144 shape = GetSubShapeByNode( nodes[i], meshDS );
1145 if ( shape.IsNull() ) break;
1146 if ( shape.ShapeType() == TopAbs_SOLID )
1148 solidID = nodes[i]->getshapeId();
1149 shapeType = TopAbs_SOLID;
1152 if ( shape.ShapeType() == TopAbs_FACE )
1154 faceID = nodes[i]->getshapeId();
1155 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1156 itMapWithIdFace->second++;
1160 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1161 while ( const TopoDS_Shape* face = it->next() )
1163 faceID = meshDS->ShapeToIndex( *face );
1164 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1165 itMapWithIdFace->second++;
1170 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1172 // find ID of the FACE the four corner nodes belong to
1173 itMapWithIdFace = faceId2nbNodes.begin();
1174 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1176 if ( itMapWithIdFace->second == 4 )
1178 shapeType = TopAbs_FACE;
1179 faceID = (*itMapWithIdFace).first;
1186 if ( shapeType == TopAbs_FACE )
1188 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1195 bool toCheck = true;
1196 if ( !F.IsNull() && !force3d )
1198 uvAvg = calcTFI (0.5, 0.5,
1199 GetNodeUV(F,n1,n3,&toCheck), GetNodeUV(F,n2,n4,&toCheck),
1200 GetNodeUV(F,n3,n1,&toCheck), GetNodeUV(F,n4,n2,&toCheck),
1201 GetNodeUV(F,n12,n3), GetNodeUV(F,n23,n4),
1202 GetNodeUV(F,n34,n2), GetNodeUV(F,n41,n2));
1203 TopLoc_Location loc;
1204 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1205 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1206 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1207 // if ( mySetElemOnShape ) node is not elem!
1208 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1210 else // ( force3d || F.IsNull() )
1212 P = calcTFI (0.5, 0.5,
1213 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1214 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1215 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1216 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1217 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1219 if ( !F.IsNull() ) // force3d
1221 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1222 GetNodeUV(F,n2,n4,&toCheck) +
1223 GetNodeUV(F,n3,n1,&toCheck) +
1224 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1225 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1226 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1228 else if ( solidID > 0 )
1230 meshDS->SetNodeInVolume( centralNode, solidID );
1232 else if ( myShapeID > 0 && mySetElemOnShape )
1234 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1237 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1241 //=======================================================================
1242 //function : GetCentralNode
1243 //purpose : Return existing or create a new central node for a
1244 // quadratic triangle given its 6 nodes.
1245 //@param : force3d - true means node creation in between the given nodes,
1246 // else node position is found on a geometrical face if any.
1247 //=======================================================================
1249 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1250 const SMDS_MeshNode* n2,
1251 const SMDS_MeshNode* n3,
1252 const SMDS_MeshNode* n12,
1253 const SMDS_MeshNode* n23,
1254 const SMDS_MeshNode* n31,
1257 SMDS_MeshNode *centralNode = 0; // central node to return
1259 // Find an existing central node
1261 TBiQuad keyOfMap(n1,n2,n3);
1262 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1263 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1264 if ( itMapCentralNode != myMapWithCentralNode.end() )
1266 return (*itMapCentralNode).second;
1269 // Get type of shape for the new central node
1271 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1275 TopTools_ListIteratorOfListOfShape it;
1277 std::map< int, int > faceId2nbNodes;
1278 std::map< int, int > ::iterator itMapWithIdFace;
1280 SMESHDS_Mesh* meshDS = GetMeshDS();
1282 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1283 // on sub-shapes of the FACE
1284 if ( GetMesh()->HasShapeToMesh() )
1286 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1287 for(int i = 0; i < 3; i++)
1289 shape = GetSubShapeByNode( nodes[i], meshDS );
1290 if ( shape.IsNull() ) break;
1291 if ( shape.ShapeType() == TopAbs_SOLID )
1293 solidID = nodes[i]->getshapeId();
1294 shapeType = TopAbs_SOLID;
1297 if ( shape.ShapeType() == TopAbs_FACE )
1299 faceID = nodes[i]->getshapeId();
1300 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1301 itMapWithIdFace->second++;
1305 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1306 while ( const TopoDS_Shape* face = it->next() )
1308 faceID = meshDS->ShapeToIndex( *face );
1309 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1310 itMapWithIdFace->second++;
1315 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1317 // find ID of the FACE the four corner nodes belong to
1318 itMapWithIdFace = faceId2nbNodes.begin();
1319 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1321 if ( itMapWithIdFace->second == 3 )
1323 shapeType = TopAbs_FACE;
1324 faceID = (*itMapWithIdFace).first;
1334 if ( shapeType == TopAbs_FACE )
1336 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1338 gp_XY uv1 = GetNodeUV( F, n1, n23, &check );
1339 gp_XY uv2 = GetNodeUV( F, n2, n31, &check );
1340 gp_XY uv3 = GetNodeUV( F, n3, n12, &check );
1341 gp_XY uv12 = GetNodeUV( F, n12, n3, &check );
1342 gp_XY uv23 = GetNodeUV( F, n23, n1, &check );
1343 gp_XY uv31 = GetNodeUV( F, n31, n2, &check );
1344 uvAvg = GetCenterUV( uv1,uv2,uv3, uv12,uv23,uv31, &badTria );
1349 // Create a central node
1352 if ( !F.IsNull() && !force3d )
1354 TopLoc_Location loc;
1355 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1356 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1357 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1358 // if ( mySetElemOnShape ) node is not elem!
1359 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1361 else // ( force3d || F.IsNull() )
1363 P = ( SMESH_TNodeXYZ( n12 ) +
1364 SMESH_TNodeXYZ( n23 ) +
1365 SMESH_TNodeXYZ( n31 ) ) / 3;
1366 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1368 if ( !F.IsNull() ) // force3d
1370 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1372 else if ( solidID > 0 )
1374 meshDS->SetNodeInVolume( centralNode, solidID );
1376 else if ( myShapeID > 0 && mySetElemOnShape )
1378 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1381 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1385 //=======================================================================
1386 //function : GetMediumNode
1387 //purpose : Return existing or create a new medium node between given ones
1388 //=======================================================================
1390 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1391 const SMDS_MeshNode* n2,
1394 // Find existing node
1396 SMESH_TLink link(n1,n2);
1397 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1398 if ( itLN != myTLinkNodeMap.end() ) {
1399 return (*itLN).second;
1402 // Create medium node
1405 SMESHDS_Mesh* meshDS = GetMeshDS();
1407 if ( IsSeamShape( n1->getshapeId() ))
1408 // to get a correct UV of a node on seam, the second node must have checked UV
1409 std::swap( n1, n2 );
1411 // get type of shape for the new medium node
1412 int faceID = -1, edgeID = -1;
1413 TopoDS_Edge E; double u [2];
1414 TopoDS_Face F; gp_XY uv[2];
1415 bool uvOK[2] = { false, false };
1417 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, mySetElemOnShape );
1418 // calling GetMediumPos() with useCurSubShape=mySetElemOnShape is OK only for the
1419 // case where the lower dim mesh is already constructed, else, nodes on EDGEs are
1420 // assigned to FACE, for example.
1422 // get positions of the given nodes on shapes
1423 if ( pos.second == TopAbs_FACE )
1425 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1426 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1427 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1429 else if ( pos.second == TopAbs_EDGE )
1431 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1432 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1433 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1434 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1435 n1->getshapeId() != n2->getshapeId() )
1438 return getMediumNodeOnComposedWire(n1,n2,force3d);
1440 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1442 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1443 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1445 catch ( Standard_Failure& f )
1447 // issue 22502 / a node is on VERTEX not belonging to E
1448 // issue 22568 / both nodes are on non-connected VERTEXes
1449 return getMediumNodeOnComposedWire(n1,n2,force3d);
1453 if ( !force3d & uvOK[0] && uvOK[1] )
1455 // we try to create medium node using UV parameters of
1456 // nodes, else - medium between corresponding 3d points
1459 //if ( uvOK[0] && uvOK[1] )
1461 if ( IsDegenShape( n1->getshapeId() )) {
1462 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1463 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1465 else if ( IsDegenShape( n2->getshapeId() )) {
1466 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1467 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1469 TopLoc_Location loc;
1470 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1471 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1472 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1473 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1474 // if ( mySetElemOnShape ) node is not elem!
1475 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1476 myTLinkNodeMap.insert(make_pair(link,n12));
1480 else if ( !E.IsNull() )
1483 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1486 Standard_Boolean isPeriodic = C->IsPeriodic();
1489 Standard_Real Period = C->Period();
1490 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1491 Standard_Real pmid = (u[0]+p)/2.;
1492 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1497 gp_Pnt P = C->Value( U );
1498 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1499 //if ( mySetElemOnShape ) node is not elem!
1500 meshDS->SetNodeOnEdge(n12, edgeID, U);
1501 myTLinkNodeMap.insert(make_pair(link,n12));
1508 double x = ( n1->X() + n2->X() )/2.;
1509 double y = ( n1->Y() + n2->Y() )/2.;
1510 double z = ( n1->Z() + n2->Z() )/2.;
1511 n12 = meshDS->AddNode(x,y,z);
1513 //if ( mySetElemOnShape ) node is not elem!
1517 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1518 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1519 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1521 else if ( !E.IsNull() )
1523 double U = ( u[0] + u[1] ) / 2.;
1524 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1525 meshDS->SetNodeOnEdge(n12, edgeID, U);
1527 else if ( myShapeID > 0 && mySetElemOnShape )
1529 meshDS->SetMeshElementOnShape(n12, myShapeID);
1533 myTLinkNodeMap.insert( make_pair( link, n12 ));
1537 //================================================================================
1539 * \brief Makes a medium node if nodes reside different edges
1541 //================================================================================
1543 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1544 const SMDS_MeshNode* n2,
1547 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1548 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1549 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1551 // To find position on edge and 3D position for n12,
1552 // project <middle> to 2 edges and select projection most close to <middle>
1554 TopoDS_Edge bestEdge;
1555 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1557 // get shapes under the nodes
1558 TopoDS_Shape shape[2];
1560 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1562 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1563 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1565 shape[ nbShapes++ ] = S;
1568 vector< TopoDS_Shape > edges;
1569 for ( int iS = 0; iS < nbShapes; ++iS )
1571 switch ( shape[iS].ShapeType() ) {
1574 edges.push_back( shape[iS] );
1580 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1581 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1583 if ( edge.IsNull() )
1585 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1586 while( const TopoDS_Shape* e = eIt->next() )
1587 edges.push_back( *e );
1593 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1594 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1595 edges.push_back( e.Current() );
1602 // project to get U of projection and distance from middle to projection
1603 for ( size_t iE = 0; iE < edges.size(); ++iE )
1605 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1606 distXYZ[0] = distMiddleProj;
1608 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1609 if ( distXYZ[0] < distMiddleProj )
1611 distMiddleProj = distXYZ[0];
1617 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1618 // TopoDS_Vertex vCommon;
1619 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1620 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1623 // double f,l, u0 = GetNodeU( edges[0], n1 );
1624 // BRep_Tool::Range( edges[0],f,l );
1625 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1628 // distMiddleProj = 0;
1631 if ( !bestEdge.IsNull() )
1633 // move n12 to position of a successfull projection
1634 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1635 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1637 TopLoc_Location loc;
1638 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1639 gp_Pnt p = curve->Value( u ).Transformed( loc );
1640 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1642 //if ( mySetElemOnShape ) node is not elem!
1644 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1645 if ( edgeID != n12->getshapeId() )
1646 GetMeshDS()->UnSetNodeOnShape( n12 );
1647 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1650 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1655 //=======================================================================
1656 //function : AddNode
1657 //purpose : Creates a node
1658 //=======================================================================
1660 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1663 SMESHDS_Mesh * meshDS = GetMeshDS();
1664 SMDS_MeshNode* node = 0;
1666 node = meshDS->AddNodeWithID( x, y, z, ID );
1668 node = meshDS->AddNode( x, y, z );
1669 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1670 switch ( myShape.ShapeType() ) {
1671 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1672 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1673 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1674 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1675 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1682 //=======================================================================
1683 //function : AddEdge
1684 //purpose : Creates quadratic or linear edge
1685 //=======================================================================
1687 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1688 const SMDS_MeshNode* n2,
1692 SMESHDS_Mesh * meshDS = GetMeshDS();
1694 SMDS_MeshEdge* edge = 0;
1695 if (myCreateQuadratic) {
1696 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1698 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1700 edge = meshDS->AddEdge(n1, n2, n12);
1704 edge = meshDS->AddEdgeWithID(n1, n2, id);
1706 edge = meshDS->AddEdge(n1, n2);
1709 if ( mySetElemOnShape && myShapeID > 0 )
1710 meshDS->SetMeshElementOnShape( edge, myShapeID );
1715 //=======================================================================
1716 //function : AddFace
1717 //purpose : Creates quadratic or linear triangle
1718 //=======================================================================
1720 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1721 const SMDS_MeshNode* n2,
1722 const SMDS_MeshNode* n3,
1726 SMESHDS_Mesh * meshDS = GetMeshDS();
1727 SMDS_MeshFace* elem = 0;
1729 if( n1==n2 || n2==n3 || n3==n1 )
1732 if(!myCreateQuadratic) {
1734 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1736 elem = meshDS->AddFace(n1, n2, n3);
1739 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1740 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1741 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1742 if(myCreateBiQuadratic)
1744 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1746 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1748 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1753 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1755 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1758 if ( mySetElemOnShape && myShapeID > 0 )
1759 meshDS->SetMeshElementOnShape( elem, myShapeID );
1764 //=======================================================================
1765 //function : AddFace
1766 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1767 //=======================================================================
1769 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1770 const SMDS_MeshNode* n2,
1771 const SMDS_MeshNode* n3,
1772 const SMDS_MeshNode* n4,
1776 SMESHDS_Mesh * meshDS = GetMeshDS();
1777 SMDS_MeshFace* elem = 0;
1780 return AddFace(n1,n3,n4,id,force3d);
1783 return AddFace(n1,n2,n4,id,force3d);
1786 return AddFace(n1,n2,n3,id,force3d);
1789 return AddFace(n1,n2,n4,id,force3d);
1792 return AddFace(n1,n2,n3,id,force3d);
1795 return AddFace(n1,n2,n3,id,force3d);
1798 if(!myCreateQuadratic) {
1800 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1802 elem = meshDS->AddFace(n1, n2, n3, n4);
1805 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1806 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1807 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1808 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1809 if(myCreateBiQuadratic)
1811 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1813 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1815 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1820 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1822 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1825 if ( mySetElemOnShape && myShapeID > 0 )
1826 meshDS->SetMeshElementOnShape( elem, myShapeID );
1831 //=======================================================================
1832 //function : AddPolygonalFace
1833 //purpose : Creates polygon, with additional nodes in quadratic mesh
1834 //=======================================================================
1836 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1840 SMESHDS_Mesh * meshDS = GetMeshDS();
1841 SMDS_MeshFace* elem = 0;
1843 if(!myCreateQuadratic) {
1845 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
1847 elem = meshDS->AddPolygonalFace(nodes);
1850 vector<const SMDS_MeshNode*> newNodes;
1851 for ( int i = 0; i < nodes.size(); ++i )
1853 const SMDS_MeshNode* n1 = nodes[i];
1854 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
1855 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1856 newNodes.push_back( n1 );
1857 newNodes.push_back( n12 );
1860 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
1862 elem = meshDS->AddPolygonalFace(newNodes);
1864 if ( mySetElemOnShape && myShapeID > 0 )
1865 meshDS->SetMeshElementOnShape( elem, myShapeID );
1870 //=======================================================================
1871 //function : AddVolume
1872 //purpose : Creates quadratic or linear prism
1873 //=======================================================================
1875 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1876 const SMDS_MeshNode* n2,
1877 const SMDS_MeshNode* n3,
1878 const SMDS_MeshNode* n4,
1879 const SMDS_MeshNode* n5,
1880 const SMDS_MeshNode* n6,
1884 SMESHDS_Mesh * meshDS = GetMeshDS();
1885 SMDS_MeshVolume* elem = 0;
1886 if(!myCreateQuadratic) {
1888 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
1890 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
1893 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1894 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1895 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1897 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1898 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
1899 const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,force3d);
1901 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1902 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1903 const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,force3d);
1906 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
1907 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
1909 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
1910 n12, n23, n31, n45, n56, n64, n14, n25, n36);
1912 if ( mySetElemOnShape && myShapeID > 0 )
1913 meshDS->SetMeshElementOnShape( elem, myShapeID );
1918 //=======================================================================
1919 //function : AddVolume
1920 //purpose : Creates quadratic or linear tetrahedron
1921 //=======================================================================
1923 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1924 const SMDS_MeshNode* n2,
1925 const SMDS_MeshNode* n3,
1926 const SMDS_MeshNode* n4,
1930 SMESHDS_Mesh * meshDS = GetMeshDS();
1931 SMDS_MeshVolume* elem = 0;
1932 if(!myCreateQuadratic) {
1934 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
1936 elem = meshDS->AddVolume(n1, n2, n3, n4);
1939 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1940 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1941 const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,force3d);
1943 const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,force3d);
1944 const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,force3d);
1945 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1948 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
1950 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
1952 if ( mySetElemOnShape && myShapeID > 0 )
1953 meshDS->SetMeshElementOnShape( elem, myShapeID );
1958 //=======================================================================
1959 //function : AddVolume
1960 //purpose : Creates quadratic or linear pyramid
1961 //=======================================================================
1963 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
1964 const SMDS_MeshNode* n2,
1965 const SMDS_MeshNode* n3,
1966 const SMDS_MeshNode* n4,
1967 const SMDS_MeshNode* n5,
1971 SMDS_MeshVolume* elem = 0;
1972 if(!myCreateQuadratic) {
1974 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
1976 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
1979 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1980 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
1981 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
1982 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
1984 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
1985 const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,force3d);
1986 const SMDS_MeshNode* n35 = GetMediumNode(n3,n5,force3d);
1987 const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,force3d);
1990 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
1995 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
1997 n15, n25, n35, n45);
1999 if ( mySetElemOnShape && myShapeID > 0 )
2000 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2005 //=======================================================================
2006 //function : AddVolume
2007 //purpose : Creates bi-quadratic, quadratic or linear hexahedron
2008 //=======================================================================
2010 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2011 const SMDS_MeshNode* n2,
2012 const SMDS_MeshNode* n3,
2013 const SMDS_MeshNode* n4,
2014 const SMDS_MeshNode* n5,
2015 const SMDS_MeshNode* n6,
2016 const SMDS_MeshNode* n7,
2017 const SMDS_MeshNode* n8,
2021 SMESHDS_Mesh * meshDS = GetMeshDS();
2022 SMDS_MeshVolume* elem = 0;
2023 if(!myCreateQuadratic) {
2025 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2027 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2030 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2031 const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,force3d);
2032 const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,force3d);
2033 const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,force3d);
2035 const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,force3d);
2036 const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,force3d);
2037 const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,force3d);
2038 const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,force3d);
2040 const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,force3d);
2041 const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,force3d);
2042 const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,force3d);
2043 const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,force3d);
2044 if(myCreateBiQuadratic)
2046 const SMDS_MeshNode* n1234 = GetCentralNode(n1,n2,n3,n4,n12,n23,n34,n41,force3d);
2047 const SMDS_MeshNode* n1256 = GetCentralNode(n1,n2,n5,n6,n12,n26,n56,n15,force3d);
2048 const SMDS_MeshNode* n2367 = GetCentralNode(n2,n3,n6,n7,n23,n37,n67,n26,force3d);
2049 const SMDS_MeshNode* n3478 = GetCentralNode(n3,n4,n7,n8,n34,n48,n78,n37,force3d);
2050 const SMDS_MeshNode* n1458 = GetCentralNode(n1,n4,n5,n8,n41,n48,n15,n85,force3d);
2051 const SMDS_MeshNode* n5678 = GetCentralNode(n5,n6,n7,n8,n56,n67,n78,n85,force3d);
2053 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2055 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2056 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2057 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2058 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2059 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2060 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2061 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2062 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2064 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2065 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2066 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2067 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2068 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2069 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2070 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2071 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2072 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2073 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2074 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2075 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2077 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2078 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2079 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2080 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2081 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2082 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2084 gp_XYZ centerCube(0.5, 0.5, 0.5);
2086 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2087 const SMDS_MeshNode* nCenter =
2088 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2089 meshDS->SetNodeInVolume( nCenter, myShapeID );
2092 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2093 n12, n23, n34, n41, n56, n67,
2094 n78, n85, n15, n26, n37, n48,
2095 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2097 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2098 n12, n23, n34, n41, n56, n67,
2099 n78, n85, n15, n26, n37, n48,
2100 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2105 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2106 n12, n23, n34, n41, n56, n67,
2107 n78, n85, n15, n26, n37, n48, id);
2109 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2110 n12, n23, n34, n41, n56, n67,
2111 n78, n85, n15, n26, n37, n48);
2114 if ( mySetElemOnShape && myShapeID > 0 )
2115 meshDS->SetMeshElementOnShape( elem, myShapeID );
2120 //=======================================================================
2121 //function : AddVolume
2122 //purpose : Creates LINEAR!!!!!!!!! octahedron
2123 //=======================================================================
2125 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2126 const SMDS_MeshNode* n2,
2127 const SMDS_MeshNode* n3,
2128 const SMDS_MeshNode* n4,
2129 const SMDS_MeshNode* n5,
2130 const SMDS_MeshNode* n6,
2131 const SMDS_MeshNode* n7,
2132 const SMDS_MeshNode* n8,
2133 const SMDS_MeshNode* n9,
2134 const SMDS_MeshNode* n10,
2135 const SMDS_MeshNode* n11,
2136 const SMDS_MeshNode* n12,
2140 SMESHDS_Mesh * meshDS = GetMeshDS();
2141 SMDS_MeshVolume* elem = 0;
2143 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2145 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2146 if ( mySetElemOnShape && myShapeID > 0 )
2147 meshDS->SetMeshElementOnShape( elem, myShapeID );
2151 //=======================================================================
2152 //function : AddPolyhedralVolume
2153 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2154 //=======================================================================
2157 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2158 const std::vector<int>& quantities,
2162 SMESHDS_Mesh * meshDS = GetMeshDS();
2163 SMDS_MeshVolume* elem = 0;
2164 if(!myCreateQuadratic)
2167 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2169 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2173 vector<const SMDS_MeshNode*> newNodes;
2174 vector<int> newQuantities;
2175 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2177 int nbNodesInFace = quantities[iFace];
2178 newQuantities.push_back(0);
2179 for ( int i = 0; i < nbNodesInFace; ++i )
2181 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2182 newNodes.push_back( n1 );
2183 newQuantities.back()++;
2185 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2186 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2187 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2189 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2190 newNodes.push_back( n12 );
2191 newQuantities.back()++;
2194 iN += nbNodesInFace;
2197 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2199 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2201 if ( mySetElemOnShape && myShapeID > 0 )
2202 meshDS->SetMeshElementOnShape( elem, myShapeID );
2209 //================================================================================
2211 * \brief Check if a node belongs to any face of sub-mesh
2213 //================================================================================
2215 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2217 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2218 while ( fIt->more() )
2219 if ( sm->Contains( fIt->next() ))
2225 //=======================================================================
2226 //function : IsSameElemGeometry
2227 //purpose : Returns true if all elements of a sub-mesh are of same shape
2228 //=======================================================================
2230 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2231 SMDSAbs_GeometryType shape,
2232 const bool nullSubMeshRes)
2234 if ( !smDS ) return nullSubMeshRes;
2236 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2237 while ( elemIt->more() ) {
2238 const SMDS_MeshElement* e = elemIt->next();
2239 if ( e->GetGeomType() != shape )
2245 //=======================================================================
2246 //function : LoadNodeColumns
2247 //purpose : Load nodes bound to face into a map of node columns
2248 //=======================================================================
2250 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2251 const TopoDS_Face& theFace,
2252 const TopoDS_Edge& theBaseEdge,
2253 SMESHDS_Mesh* theMesh,
2254 SMESH_ProxyMesh* theProxyMesh)
2256 return LoadNodeColumns(theParam2ColumnMap,
2258 std::list<TopoDS_Edge>(1,theBaseEdge),
2263 //=======================================================================
2264 //function : LoadNodeColumns
2265 //purpose : Load nodes bound to face into a map of node columns
2266 //=======================================================================
2268 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2269 const TopoDS_Face& theFace,
2270 const std::list<TopoDS_Edge>& theBaseSide,
2271 SMESHDS_Mesh* theMesh,
2272 SMESH_ProxyMesh* theProxyMesh)
2274 // get a right sub-mesh of theFace
2276 const SMESHDS_SubMesh* faceSubMesh = 0;
2279 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2280 if ( !faceSubMesh ||
2281 faceSubMesh->NbElements() == 0 ||
2282 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2284 // can use a proxy sub-mesh with not temporary elements only
2290 faceSubMesh = theMesh->MeshElements( theFace );
2291 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2294 if ( theParam2ColumnMap.empty() )
2296 // get data of edges for normalization of params
2297 vector< double > length;
2299 list<TopoDS_Edge>::const_iterator edge;
2301 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2303 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2305 length.push_back( len );
2309 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2310 edge = theBaseSide.begin();
2311 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2313 map< double, const SMDS_MeshNode*> sortedBaseNN;
2314 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN);
2315 if ( sortedBaseNN.empty() ) continue;
2317 map< double, const SMDS_MeshNode*>::iterator u_n = sortedBaseNN.begin();
2318 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2320 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2321 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2322 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2323 n2 != theProxyMesh->GetProxyNode( n2 ));
2324 if ( allNodesAreProxy )
2325 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2326 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2328 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2330 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2331 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2333 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2335 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2336 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2338 if ( sortedBaseNN.empty() ) continue;
2342 BRep_Tool::Range( *edge, f, l );
2343 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2344 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2345 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2346 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2348 double par = prevPar + coeff * ( u_n->first - f );
2349 TParam2ColumnMap::iterator u2nn =
2350 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2351 u2nn->second.push_back( u_n->second );
2354 if ( theParam2ColumnMap.empty() )
2359 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2360 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2362 // fill theParam2ColumnMap column by column by passing from nodes on
2363 // theBaseEdge up via mesh faces on theFace
2365 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2366 par_nVec_2 = theParam2ColumnMap.begin();
2367 par_nVec_1 = par_nVec_2++;
2368 TIDSortedElemSet emptySet, avoidSet;
2369 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2371 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2372 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2373 nCol1.resize( prevNbRows + expectedNbRows );
2374 nCol2.resize( prevNbRows + expectedNbRows );
2376 int i1, i2, foundNbRows = 0;
2377 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2378 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2379 // find face sharing node n1 and n2 and belonging to faceSubMesh
2380 while ( const SMDS_MeshElement* face =
2381 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2383 if ( faceSubMesh->Contains( face ))
2385 int nbNodes = face->NbCornerNodes();
2388 if ( foundNbRows + 1 > expectedNbRows )
2390 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2391 n2 = face->GetNode( (i1+2) % 4 );
2392 nCol1[ prevNbRows + foundNbRows] = n1;
2393 nCol2[ prevNbRows + foundNbRows] = n2;
2396 avoidSet.insert( face );
2398 if ( foundNbRows != expectedNbRows )
2402 return ( theParam2ColumnMap.size() > 1 &&
2403 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2408 //================================================================================
2410 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2412 //================================================================================
2414 bool isCornerOfStructure( const SMDS_MeshNode* n,
2415 const SMESHDS_SubMesh* faceSM,
2416 SMESH_MesherHelper& faceAnalyser )
2418 int nbFacesInSM = 0;
2420 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2421 while ( fIt->more() )
2422 nbFacesInSM += faceSM->Contains( fIt->next() );
2424 if ( nbFacesInSM == 1 )
2427 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2429 return faceAnalyser.IsRealSeam( n->getshapeId() );
2435 //=======================================================================
2436 //function : IsStructured
2437 //purpose : Return true if 2D mesh on FACE is structured
2438 //=======================================================================
2440 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2442 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2443 if ( !fSM || fSM->NbElements() == 0 )
2446 list< TopoDS_Edge > edges;
2447 list< int > nbEdgesInWires;
2448 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2449 edges, nbEdgesInWires );
2450 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2453 // algo: find corners of a structure and then analyze nb of faces and
2454 // length of structure sides
2456 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2457 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2458 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2460 // rotate edges to get the first node being at corner
2461 // (in principle it's not necessary but so far none SALOME algo can make
2462 // such a structured mesh that all corner nodes are not on VERTEXes)
2463 bool isCorner = false;
2464 int nbRemainEdges = nbEdgesInWires.front();
2466 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2467 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2470 edges.splice( edges.end(), edges, edges.begin() );
2474 while ( !isCorner && nbRemainEdges > 0 );
2479 // get all nodes from EDGEs
2480 list< const SMDS_MeshNode* > nodes;
2481 list< TopoDS_Edge >::iterator edge = edges.begin();
2482 for ( ; edge != edges.end(); ++edge )
2484 map< double, const SMDS_MeshNode* > u2Nodes;
2485 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2486 /*skipMedium=*/true, u2Nodes ))
2489 list< const SMDS_MeshNode* > edgeNodes;
2490 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2491 for ( ; u2n != u2Nodes.end(); ++u2n )
2492 edgeNodes.push_back( u2n->second );
2493 if ( edge->Orientation() == TopAbs_REVERSED )
2494 edgeNodes.reverse();
2496 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2497 edgeNodes.pop_front();
2498 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2501 // get length of structured sides
2502 vector<int> nbEdgesInSide;
2504 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2505 for ( ; n != nodes.end(); ++n )
2508 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2509 nbEdgesInSide.push_back( nbEdges );
2515 if ( nbEdgesInSide.size() != 4 )
2517 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2519 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2521 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2527 //================================================================================
2529 * \brief Find out elements orientation on a geometrical face
2530 * \param theFace - The face correctly oriented in the shape being meshed
2531 * \retval bool - true if the face normal and the normal of first element
2532 * in the correspoding submesh point in different directions
2534 //================================================================================
2536 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2538 if ( theFace.IsNull() )
2541 // find out orientation of a meshed face
2542 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2543 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2544 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2546 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2547 if ( !aSubMeshDSFace )
2550 // find an element with a good normal
2552 bool normalOK = false;
2554 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2555 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2557 const SMDS_MeshElement* elem = iteratorElem->next();
2558 if ( elem && elem->NbCornerNodes() > 2 )
2560 SMESH_TNodeXYZ nPnt[3];
2561 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2562 int iNodeOnFace = 0, iPosDim = SMDS_TOP_VERTEX;
2563 for ( int iN = 0; nodesIt->more() && iN < 3; ++iN) // loop on nodes
2565 nPnt[ iN ] = nodesIt->next();
2566 if ( nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition() > iPosDim )
2569 iPosDim = nPnt[ iN ]._node->GetPosition()->GetTypeOfPosition();
2573 gp_Vec v01( nPnt[0], nPnt[1] ), v02( nPnt[0], nPnt[2] );
2574 if ( v01.SquareMagnitude() > RealSmall() &&
2575 v02.SquareMagnitude() > RealSmall() )
2578 if (( normalOK = ( Ne.SquareMagnitude() > RealSmall() )))
2579 uv = GetNodeUV( theFace, nPnt[iNodeOnFace]._node, 0, &normalOK );
2586 // face normal at node position
2587 TopLoc_Location loc;
2588 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2589 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2590 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2591 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2594 MESSAGE("surf->Continuity() < GeomAbs_C1 " << (surf->Continuity() < GeomAbs_C1));
2597 gp_Vec d1u, d1v; gp_Pnt p;
2598 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2599 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2601 if ( theFace.Orientation() == TopAbs_REVERSED )
2604 return Ne * Nf < 0.;
2607 //=======================================================================
2609 //purpose : Count nb of sub-shapes
2610 //=======================================================================
2612 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2613 const TopAbs_ShapeEnum type,
2614 const bool ignoreSame)
2617 TopTools_IndexedMapOfShape map;
2618 TopExp::MapShapes( shape, type, map );
2619 return map.Extent();
2623 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2629 //=======================================================================
2630 //function : NbAncestors
2631 //purpose : Return number of unique ancestors of the shape
2632 //=======================================================================
2634 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2635 const SMESH_Mesh& mesh,
2636 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2638 TopTools_MapOfShape ancestors;
2639 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2640 for ( ; ansIt.More(); ansIt.Next() ) {
2641 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2642 ancestors.Add( ansIt.Value() );
2644 return ancestors.Extent();
2647 //=======================================================================
2648 //function : GetSubShapeOri
2649 //purpose : Return orientation of sub-shape in the main shape
2650 //=======================================================================
2652 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2653 const TopoDS_Shape& subShape)
2655 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2656 if ( !shape.IsNull() && !subShape.IsNull() )
2658 TopExp_Explorer e( shape, subShape.ShapeType() );
2659 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2660 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2661 for ( ; e.More(); e.Next())
2662 if ( subShape.IsSame( e.Current() ))
2665 ori = e.Current().Orientation();
2670 //=======================================================================
2671 //function : IsSubShape
2673 //=======================================================================
2675 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2676 const TopoDS_Shape& mainShape )
2678 if ( !shape.IsNull() && !mainShape.IsNull() )
2680 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2683 if ( shape.IsSame( exp.Current() ))
2686 SCRUTE((shape.IsNull()));
2687 SCRUTE((mainShape.IsNull()));
2691 //=======================================================================
2692 //function : IsSubShape
2694 //=======================================================================
2696 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2698 if ( shape.IsNull() || !aMesh )
2701 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
2703 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
2706 //================================================================================
2708 * \brief Return maximal tolerance of shape
2710 //================================================================================
2712 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
2714 double tol = Precision::Confusion();
2715 TopExp_Explorer exp;
2716 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
2717 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
2718 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
2719 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
2720 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
2721 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
2726 //================================================================================
2728 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
2729 * of the FACE normal
2730 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
2731 * 1e100 in case of failure
2732 * \waring Care about order of the EDGEs and their orientation to be as they are
2733 * within the FACE! Don't pass degenerated EDGEs neither!
2735 //================================================================================
2737 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
2738 const TopoDS_Edge & theE2,
2739 const TopoDS_Face & theFace,
2740 gp_Vec* theFaceNormal)
2742 double angle = 1e100;
2745 TopoDS_Vertex vCommon;
2746 if ( !TopExp::CommonVertex( theE1, theE2, vCommon ))
2749 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
2750 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
2751 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
2752 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
2753 double p1 = BRep_Tool::Parameter( vCommon, theE1 );
2754 double p2 = BRep_Tool::Parameter( vCommon, theE2 );
2755 if ( c1.IsNull() || c2.IsNull() )
2757 gp_XY uv = c2d1->Value( p1 ).XY();
2758 gp_Vec du, dv; gp_Pnt p;
2759 surf->D1( uv.X(), uv.Y(), p, du, dv );
2760 gp_Vec vec1, vec2, vecRef = du ^ dv;
2763 while ( vecRef.SquareMagnitude() < std::numeric_limits<double>::min() )
2765 double dp = ( l - f ) / 1000.;
2766 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? +1. : -1.);
2767 uv = c2d1->Value( p1tmp ).XY();
2768 surf->D1( uv.X(), uv.Y(), p, du, dv );
2770 if ( ++nbLoops > 10 )
2773 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
2778 if ( theFace.Orientation() == TopAbs_REVERSED )
2780 if ( theFaceNormal ) *theFaceNormal = vecRef;
2782 c1->D1( p1, p, vec1 );
2783 c2->D1( p2, p, vec2 );
2784 // TopoDS_Face F = theFace;
2785 // if ( F.Orientation() == TopAbs_INTERNAL )
2786 // F.Orientation( TopAbs_FORWARD );
2787 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
2789 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
2791 angle = vec1.AngleWithRef( vec2, vecRef );
2793 if ( Abs ( angle ) >= 0.99 * M_PI )
2795 BRep_Tool::Range( theE1, f, l );
2796 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
2797 c1->D1( p1, p, vec1 );
2798 if ( theE1.Orientation() == TopAbs_REVERSED )
2800 BRep_Tool::Range( theE2, f, l );
2801 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
2802 c2->D1( p2, p, vec2 );
2803 if ( theE2.Orientation() == TopAbs_REVERSED )
2805 angle = vec1.AngleWithRef( vec2, vecRef );
2814 //================================================================================
2816 * \brief Check if the first and last vertices of an edge are the same
2817 * \param anEdge - the edge to check
2818 * \retval bool - true if same
2820 //================================================================================
2822 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
2824 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2825 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
2826 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
2829 //================================================================================
2831 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
2832 * in the case of INTERNAL edge
2834 //================================================================================
2836 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
2840 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
2841 anEdge.Orientation( TopAbs_FORWARD );
2843 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
2844 TopoDS_Iterator vIt( anEdge, CumOri );
2845 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
2848 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
2851 //================================================================================
2853 * \brief Return type of shape contained in a group
2854 * \param group - a shape of type TopAbs_COMPOUND
2855 * \param avoidCompound - not to return TopAbs_COMPOUND
2857 //================================================================================
2859 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
2860 const bool avoidCompound)
2862 if ( !group.IsNull() )
2864 if ( group.ShapeType() != TopAbs_COMPOUND )
2865 return group.ShapeType();
2867 // iterate on a compound
2868 TopoDS_Iterator it( group );
2870 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
2872 return TopAbs_SHAPE;
2875 //=======================================================================
2876 //function : IsQuadraticMesh
2877 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
2878 // quadratic elements will be created.
2879 // Used then generated 3D mesh without geometry.
2880 //=======================================================================
2882 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
2884 int NbAllEdgsAndFaces=0;
2885 int NbQuadFacesAndEdgs=0;
2886 int NbFacesAndEdges=0;
2887 //All faces and edges
2888 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
2889 if ( NbAllEdgsAndFaces == 0 )
2890 return SMESH_MesherHelper::LINEAR;
2892 //Quadratic faces and edges
2893 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
2895 //Linear faces and edges
2896 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
2898 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
2900 return SMESH_MesherHelper::QUADRATIC;
2902 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
2904 return SMESH_MesherHelper::LINEAR;
2907 //Mesh with both type of elements
2908 return SMESH_MesherHelper::COMP;
2911 //=======================================================================
2912 //function : GetOtherParam
2913 //purpose : Return an alternative parameter for a node on seam
2914 //=======================================================================
2916 double SMESH_MesherHelper::GetOtherParam(const double param) const
2918 int i = myParIndex & U_periodic ? 0 : 1;
2919 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
2924 //=======================================================================
2926 * \brief Iterator on ancestors of the given type
2928 //=======================================================================
2930 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
2932 TopTools_ListIteratorOfListOfShape _ancIter;
2933 TopAbs_ShapeEnum _type;
2934 TopTools_MapOfShape _encountered;
2935 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
2936 : _ancIter( ancestors ), _type( type )
2938 if ( _ancIter.More() ) {
2939 if ( _ancIter.Value().ShapeType() != _type ) next();
2940 else _encountered.Add( _ancIter.Value() );
2945 return _ancIter.More();
2947 virtual const TopoDS_Shape* next()
2949 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
2950 if ( _ancIter.More() )
2951 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
2952 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
2960 //=======================================================================
2962 * \brief Return iterator on ancestors of the given type
2964 //=======================================================================
2966 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
2967 const SMESH_Mesh& mesh,
2968 TopAbs_ShapeEnum ancestorType)
2970 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
2973 //=======================================================================
2974 //function : GetCommonAncestor
2975 //purpose : Find a common ancestors of two shapes of the given type
2976 //=======================================================================
2978 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
2979 const TopoDS_Shape& shape2,
2980 const SMESH_Mesh& mesh,
2981 TopAbs_ShapeEnum ancestorType)
2983 TopoDS_Shape commonAnc;
2984 if ( !shape1.IsNull() && !shape2.IsNull() )
2986 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
2987 while ( const TopoDS_Shape* anc = ancIt->next() )
2988 if ( IsSubShape( shape2, *anc ))
2997 //#include <Perf_Meter.hxx>
2999 //=======================================================================
3000 namespace { // Structures used by FixQuadraticElements()
3001 //=======================================================================
3003 #define __DMP__(txt) \
3005 #define MSG(txt) __DMP__(txt<<endl)
3006 #define MSGBEG(txt) __DMP__(txt)
3008 //const double straightTol2 = 1e-33; // to detect straing links
3009 bool isStraightLink(double linkLen2, double middleNodeMove2)
3011 // straight if <node move> < 1/15 * <link length>
3012 return middleNodeMove2 < 1/15./15. * linkLen2;
3016 // ---------------------------------------
3018 * \brief Quadratic link knowing its faces
3020 struct QLink: public SMESH_TLink
3022 const SMDS_MeshNode* _mediumNode;
3023 mutable vector<const QFace* > _faces;
3024 mutable gp_Vec _nodeMove;
3025 mutable int _nbMoves;
3027 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3028 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3030 //if ( MediumPos() != SMDS_TOP_3DSPACE )
3031 _nodeMove = MediumPnt() - MiddlePnt();
3033 void SetContinuesFaces() const;
3034 const QFace* GetContinuesFace( const QFace* face ) const;
3035 bool OnBoundary() const;
3036 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3037 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3039 SMDS_TypeOfPosition MediumPos() const
3040 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3041 SMDS_TypeOfPosition EndPos(bool isSecond) const
3042 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3043 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3044 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3046 void Move(const gp_Vec& move, bool sum=false) const
3047 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; }
3048 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3049 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3050 bool IsStraight() const
3051 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3052 _nodeMove.SquareMagnitude());
3054 bool operator<(const QLink& other) const {
3055 return (node1()->GetID() == other.node1()->GetID() ?
3056 node2()->GetID() < other.node2()->GetID() :
3057 node1()->GetID() < other.node1()->GetID());
3059 // struct PtrComparator {
3060 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3063 // ---------------------------------------------------------
3065 * \brief Link in the chain of links; it connects two faces
3069 const QLink* _qlink;
3070 mutable const QFace* _qfaces[2];
3072 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3073 _qfaces[0] = _qfaces[1] = 0;
3075 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3077 bool IsBoundary() const { return !_qfaces[1]; }
3079 void RemoveFace( const QFace* face ) const
3080 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3082 const QFace* NextFace( const QFace* f ) const
3083 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3085 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3086 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3088 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3090 operator bool() const { return (_qlink); }
3092 const QLink* operator->() const { return _qlink; }
3094 gp_Vec Normal() const;
3096 bool IsStraight() const;
3098 // --------------------------------------------------------------------
3099 typedef list< TChainLink > TChain;
3100 typedef set < TChainLink > TLinkSet;
3101 typedef TLinkSet::const_iterator TLinkInSet;
3103 const int theFirstStep = 5;
3105 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3106 // --------------------------------------------------------------------
3108 * \brief Quadratic face shared by two volumes and bound by QLinks
3110 struct QFace: public TIDSortedNodeSet
3112 mutable const SMDS_MeshElement* _volumes[2];
3113 mutable vector< const QLink* > _sides;
3114 mutable bool _sideIsAdded[4]; // added in chain of links
3117 mutable const SMDS_MeshElement* _face;
3120 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3122 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3124 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3126 void AddSelfToLinks() const {
3127 for ( int i = 0; i < _sides.size(); ++i )
3128 _sides[i]->_faces.push_back( this );
3130 int LinkIndex( const QLink* side ) const {
3131 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3134 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3136 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3138 int i = LinkIndex( link._qlink );
3139 if ( i < 0 ) return true;
3140 _sideIsAdded[i] = true;
3141 link.SetFace( this );
3142 // continue from opposite link
3143 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3145 bool IsBoundary() const { return !_volumes[1]; }
3147 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3149 bool IsSpoiled(const QLink* bentLink ) const;
3151 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3152 const TChainLink& avoidLink,
3153 TLinkInSet * notBoundaryLink = 0,
3154 const SMDS_MeshNode* nodeToContain = 0,
3155 bool * isAdjacentUsed = 0,
3156 int nbRecursionsLeft = -1) const;
3158 TLinkInSet GetLinkByNode( const TLinkSet& links,
3159 const TChainLink& avoidLink,
3160 const SMDS_MeshNode* nodeToContain) const;
3162 const SMDS_MeshNode* GetNodeInFace() const {
3163 for ( int iL = 0; iL < _sides.size(); ++iL )
3164 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3168 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3170 double MoveByBoundary( const TChainLink& theLink,
3171 const gp_Vec& theRefVec,
3172 const TLinkSet& theLinks,
3173 SMESH_MesherHelper* theFaceHelper=0,
3174 const double thePrevLen=0,
3175 const int theStep=theFirstStep,
3176 gp_Vec* theLinkNorm=0,
3177 double theSign=1.0) const;
3180 //================================================================================
3182 * \brief Dump QLink and QFace
3184 ostream& operator << (ostream& out, const QLink& l)
3186 out <<"QLink nodes: "
3187 << l.node1()->GetID() << " - "
3188 << l._mediumNode->GetID() << " - "
3189 << l.node2()->GetID() << endl;
3192 ostream& operator << (ostream& out, const QFace& f)
3194 out <<"QFace nodes: "/*<< &f << " "*/;
3195 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3196 out << (*n)->GetID() << " ";
3197 out << " \tvolumes: "
3198 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3199 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3200 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3204 //================================================================================
3206 * \brief Construct QFace from QLinks
3208 //================================================================================
3210 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3212 _volumes[0] = _volumes[1] = 0;
3214 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3215 _normal.SetCoord(0,0,0);
3216 for ( int i = 1; i < _sides.size(); ++i ) {
3217 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3218 insert( l1->node1() ); insert( l1->node2() );
3220 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3221 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3222 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3226 double normSqSize = _normal.SquareMagnitude();
3227 if ( normSqSize > numeric_limits<double>::min() )
3228 _normal /= sqrt( normSqSize );
3230 _normal.SetCoord(1e-33,0,0);
3236 //================================================================================
3238 * \brief Make up a chain of links
3239 * \param iSide - link to add first
3240 * \param chain - chain to fill in
3241 * \param pos - postion of medium nodes the links should have
3242 * \param error - out, specifies what is wrong
3243 * \retval bool - false if valid chain can't be built; "valid" means that links
3244 * of the chain belongs to rectangles bounding hexahedrons
3246 //================================================================================
3248 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3250 if ( iSide >= _sides.size() ) // wrong argument iSide
3252 if ( _sideIsAdded[ iSide ]) // already in chain
3255 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3258 list< const QFace* > faces( 1, this );
3259 while ( !faces.empty() ) {
3260 const QFace* face = faces.front();
3261 for ( int i = 0; i < face->_sides.size(); ++i ) {
3262 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3263 face->_sideIsAdded[i] = true;
3264 // find a face side in the chain
3265 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3266 // TChain::iterator chLink = chain.begin();
3267 // for ( ; chLink != chain.end(); ++chLink )
3268 // if ( chLink->_qlink == face->_sides[i] )
3270 // if ( chLink == chain.end() )
3271 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3272 // add a face to a chained link and put a continues face in the queue
3273 chLink->SetFace( face );
3274 if ( face->_sides[i]->MediumPos() == pos )
3275 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3276 if ( contFace->_sides.size() == 3 )
3277 faces.push_back( contFace );
3282 if ( error < ERR_TRI )
3284 chain.insert( chain.end(), links.begin(),links.end() );
3287 _sideIsAdded[iSide] = true; // not to add this link to chain again
3288 const QLink* link = _sides[iSide];
3292 // add link into chain
3293 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3294 chLink->SetFace( this );
3297 // propagate from a quadrangle to neighbour faces
3298 if ( link->MediumPos() >= pos ) {
3299 int nbLinkFaces = link->_faces.size();
3300 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3301 // hexahedral mesh or boundary quadrangles - goto a continous face
3302 if ( const QFace* f = link->GetContinuesFace( this ))
3303 if ( f->_sides.size() == 4 )
3304 return f->GetLinkChain( *chLink, chain, pos, error );
3307 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3308 for ( int i = 0; i < nbLinkFaces; ++i )
3309 if ( link->_faces[i] )
3310 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3311 if ( error < ERR_PRISM )
3319 //================================================================================
3321 * \brief Return a boundary link of the triangle face
3322 * \param links - set of all links
3323 * \param avoidLink - link not to return
3324 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3325 * \param nodeToContain - node the returned link must contain; if provided, search
3326 * also performed on adjacent faces
3327 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3328 * \param nbRecursionsLeft - to limit recursion
3330 //================================================================================
3332 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3333 const TChainLink& avoidLink,
3334 TLinkInSet * notBoundaryLink,
3335 const SMDS_MeshNode* nodeToContain,
3336 bool * isAdjacentUsed,
3337 int nbRecursionsLeft) const
3339 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3341 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3342 TFaceLinkList adjacentFaces;
3344 for ( int iL = 0; iL < _sides.size(); ++iL )
3346 if ( avoidLink._qlink == _sides[iL] )
3348 TLinkInSet link = links.find( _sides[iL] );
3349 if ( link == linksEnd ) continue;
3350 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3351 continue; // We work on faces here, don't go inside a solid
3354 if ( link->IsBoundary() ) {
3355 if ( !nodeToContain ||
3356 (*link)->node1() == nodeToContain ||
3357 (*link)->node2() == nodeToContain )
3359 boundaryLink = link;
3360 if ( !notBoundaryLink ) break;
3363 else if ( notBoundaryLink ) {
3364 *notBoundaryLink = link;
3365 if ( boundaryLink != linksEnd ) break;
3368 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3369 if ( const QFace* adj = link->NextFace( this ))
3370 if ( adj->Contains( nodeToContain ))
3371 adjacentFaces.push_back( make_pair( adj, link ));
3374 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3375 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3377 if ( nbRecursionsLeft < 0 )
3378 nbRecursionsLeft = nodeToContain->NbInverseElements();
3379 TFaceLinkList::iterator adj = adjacentFaces.begin();
3380 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3381 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3382 isAdjacentUsed, nbRecursionsLeft-1);
3383 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3385 return boundaryLink;
3387 //================================================================================
3389 * \brief Return a link ending at the given node but not avoidLink
3391 //================================================================================
3393 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3394 const TChainLink& avoidLink,
3395 const SMDS_MeshNode* nodeToContain) const
3397 for ( int i = 0; i < _sides.size(); ++i )
3398 if ( avoidLink._qlink != _sides[i] &&
3399 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3400 return links.find( _sides[ i ]);
3404 //================================================================================
3406 * \brief Return normal to the i-th side pointing outside the face
3408 //================================================================================
3410 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3412 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3413 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3414 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3415 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3417 if ( norm * vecOut < 0 )
3419 double mag2 = norm.SquareMagnitude();
3420 if ( mag2 > numeric_limits<double>::min() )
3421 norm /= sqrt( mag2 );
3424 //================================================================================
3426 * \brief Move medium node of theLink according to its distance from boundary
3427 * \param theLink - link to fix
3428 * \param theRefVec - movement of boundary
3429 * \param theLinks - all adjacent links of continous triangles
3430 * \param theFaceHelper - helper is not used so far
3431 * \param thePrevLen - distance from the boundary
3432 * \param theStep - number of steps till movement propagation limit
3433 * \param theLinkNorm - out normal to theLink
3434 * \param theSign - 1 or -1 depending on movement of boundary
3435 * \retval double - distance from boundary to propagation limit or other boundary
3437 //================================================================================
3439 double QFace::MoveByBoundary( const TChainLink& theLink,
3440 const gp_Vec& theRefVec,
3441 const TLinkSet& theLinks,
3442 SMESH_MesherHelper* theFaceHelper,
3443 const double thePrevLen,
3445 gp_Vec* theLinkNorm,
3446 double theSign) const
3449 return thePrevLen; // propagation limit reached
3451 int iL; // index of theLink
3452 for ( iL = 0; iL < _sides.size(); ++iL )
3453 if ( theLink._qlink == _sides[ iL ])
3456 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3457 <<" thePrevLen " << thePrevLen);
3458 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3460 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3461 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3462 if ( theStep == theFirstStep )
3463 theSign = refProj < 0. ? -1. : 1.;
3464 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3465 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3467 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3468 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3469 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3471 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3472 bool isBndLink1 = true, isBndLink2 = true;
3473 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3475 f1 = link1->NextFace( this );
3476 f2 = link2->NextFace( this );
3478 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3479 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3480 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3482 if ( !isBndLink1 && !f1 )
3483 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3484 if ( !isBndLink2 && !f2 )
3485 f2 = (*link2)->GetContinuesFace( this );
3488 else if ( _sides.size() < 4 )
3491 // propagate to adjacent faces till limit step or boundary
3492 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3493 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3494 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3495 gp_Vec linkDir2(0,0,0);
3498 if ( f1 && !isBndLink1 )
3499 len1 = f1->MoveByBoundary
3500 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3502 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3504 MSG( " --------------- EXCEPTION");
3509 if ( f2 && !isBndLink2 )
3510 len2 = f2->MoveByBoundary
3511 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3513 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3515 MSG( " --------------- EXCEPTION");
3520 if ( theStep != theFirstStep )
3522 // choose chain length by direction of propagation most codirected with theRefVec
3523 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3524 fullLen = choose1 ? len1 : len2;
3525 double r = thePrevLen / fullLen;
3527 gp_Vec move = linkNorm * refProj * ( 1 - r );
3528 theLink->Move( move, true );
3530 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3531 " by " << refProj * ( 1 - r ) << " following " <<
3532 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3534 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3539 //================================================================================
3541 * \brief Checks if the face is distorted due to bentLink
3543 //================================================================================
3545 bool QFace::IsSpoiled(const QLink* bentLink ) const
3547 // code is valid for convex faces only
3549 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3550 gc += XYZ( *n ) / size();
3551 for (unsigned i = 0; i < _sides.size(); ++i )
3553 if ( _sides[i] == bentLink ) continue;
3554 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3555 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3556 if ( linkNorm * vecOut < 0 )
3558 double mag2 = linkNorm.SquareMagnitude();
3559 if ( mag2 > numeric_limits<double>::min() )
3560 linkNorm /= sqrt( mag2 );
3561 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3562 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3563 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3570 //================================================================================
3572 * \brief Find pairs of continues faces
3574 //================================================================================
3576 void QLink::SetContinuesFaces() const
3578 // x0 x - QLink, [-|] - QFace, v - volume
3580 // | Between _faces of link x2 two vertical faces are continues
3581 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3582 // | to _faces[0] and _faces[1] and horizontal faces to
3583 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3586 if ( _faces.empty() )
3588 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3589 if ( _faces[0]->IsBoundary() )
3590 iBoundary[ nbBoundary++ ] = 0;
3591 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3593 // look for a face bounding none of volumes bound by _faces[0]
3594 bool sameVol = false;
3595 int nbVol = _faces[iF]->NbVolumes();
3596 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3597 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3598 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3601 if ( _faces[iF]->IsBoundary() )
3602 iBoundary[ nbBoundary++ ] = iF;
3604 // Set continues faces: arrange _faces to have
3605 // _faces[0] continues to _faces[1]
3606 // _faces[2] continues to _faces[3]
3607 if ( nbBoundary == 2 ) // bnd faces are continues
3609 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3611 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3612 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3615 else if ( iFaceCont > 0 ) // continues faces found
3617 if ( iFaceCont != 1 )
3618 std::swap( _faces[1], _faces[iFaceCont] );
3620 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3622 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3625 //================================================================================
3627 * \brief Return a face continues to the given one
3629 //================================================================================
3631 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3633 for ( int i = 0; i < _faces.size(); ++i ) {
3634 if ( _faces[i] == face ) {
3635 int iF = i < 2 ? 1-i : 5-i;
3636 return iF < _faces.size() ? _faces[iF] : 0;
3641 //================================================================================
3643 * \brief True if link is on mesh boundary
3645 //================================================================================
3647 bool QLink::OnBoundary() const
3649 for ( int i = 0; i < _faces.size(); ++i )
3650 if (_faces[i] && _faces[i]->IsBoundary()) return true;
3653 //================================================================================
3655 * \brief Return normal of link of the chain
3657 //================================================================================
3659 gp_Vec TChainLink::Normal() const {
3661 if (_qfaces[0]) norm = _qfaces[0]->_normal;
3662 if (_qfaces[1]) norm += _qfaces[1]->_normal;
3665 //================================================================================
3667 * \brief Test link curvature taking into account size of faces
3669 //================================================================================
3671 bool TChainLink::IsStraight() const
3673 bool isStraight = _qlink->IsStraight();
3674 if ( isStraight && _qfaces[0] && !_qfaces[1] )
3676 int i = _qfaces[0]->LinkIndex( _qlink );
3677 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
3678 gp_XYZ mid1 = _qlink->MiddlePnt();
3679 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
3680 double faceSize2 = (mid1-mid2).SquareModulus();
3681 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
3686 //================================================================================
3688 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
3690 //================================================================================
3692 void fixPrism( TChain& allLinks )
3694 // separate boundary links from internal ones
3695 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
3696 QLinkSet interLinks, bndLinks1, bndLink2;
3698 bool isCurved = false;
3699 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3700 if ( (*lnk)->OnBoundary() )
3701 bndLinks1.insert( lnk->_qlink );
3703 interLinks.insert( lnk->_qlink );
3704 isCurved = isCurved || !lnk->IsStraight();
3707 return; // no need to move
3709 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
3711 while ( !interLinks.empty() && !curBndLinks->empty() )
3713 // propagate movement from boundary links to connected internal links
3714 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
3715 for ( ; bnd != bndEnd; ++bnd )
3717 const QLink* bndLink = *bnd;
3718 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
3720 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
3721 if ( !face ) continue;
3722 // find and move internal link opposite to bndLink within the face
3723 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
3724 const QLink* interLink = face->_sides[ interInd ];
3725 QLinkSet::iterator pInterLink = interLinks.find( interLink );
3726 if ( pInterLink == interLinks.end() ) continue; // not internal link
3727 interLink->Move( bndLink->_nodeMove );
3728 // treated internal links become new boundary ones
3729 interLinks.erase( pInterLink );
3730 newBndLinks->insert( interLink );
3733 curBndLinks->clear();
3734 std::swap( curBndLinks, newBndLinks );
3738 //================================================================================
3740 * \brief Fix links of continues triangles near curved boundary
3742 //================================================================================
3744 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
3746 if ( allLinks.empty() ) return;
3748 TLinkSet linkSet( allLinks.begin(), allLinks.end());
3749 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
3751 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
3753 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
3755 // move iff a boundary link is bent towards inside of a face (issue 0021084)
3756 const QFace* face = linkIt->_qfaces[0];
3757 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
3758 face->_sides[1]->MiddlePnt() +
3759 face->_sides[2]->MiddlePnt() ) / 3.;
3760 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
3761 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
3762 //if ( face->IsSpoiled( linkIt->_qlink ))
3763 if ( linkBentInside )
3764 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
3769 //================================================================================
3771 * \brief Detect rectangular structure of links and build chains from them
3773 //================================================================================
3775 enum TSplitTriaResult {
3776 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
3777 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
3779 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
3780 vector< TChain> & resultChains,
3781 SMDS_TypeOfPosition pos )
3783 // put links in the set and evalute number of result chains by number of boundary links
3786 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
3787 linkSet.insert( *lnk );
3788 nbBndLinks += lnk->IsBoundary();
3790 resultChains.clear();
3791 resultChains.reserve( nbBndLinks / 2 );
3793 TLinkInSet linkIt, linksEnd = linkSet.end();
3795 // find a boundary link with corner node; corner node has position pos-2
3796 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
3798 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
3799 const SMDS_MeshNode* corner = 0;
3800 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
3801 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
3806 TLinkInSet startLink = linkIt;
3807 const SMDS_MeshNode* startCorner = corner;
3808 vector< TChain* > rowChains;
3811 while ( startLink != linksEnd) // loop on columns
3813 // We suppose we have a rectangular structure like shown here. We have found a
3814 // corner of the rectangle (startCorner) and a boundary link sharing
3815 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
3816 // --o---o---o structure making several chains at once. One chain (columnChain)
3817 // |\ | /| starts at startLink and continues upward (we look at the structure
3818 // \ | \ | / | from such point that startLink is on the bottom of the structure).
3819 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
3820 // --o---o---o encounter.
3822 // / | \ | \ | startCorner
3827 if ( resultChains.size() == nbBndLinks / 2 )
3829 resultChains.push_back( TChain() );
3830 TChain& columnChain = resultChains.back();
3832 TLinkInSet botLink = startLink; // current horizontal link to go up from
3833 corner = startCorner; // current corner the botLink ends at
3835 while ( botLink != linksEnd ) // loop on rows
3837 // add botLink to the columnChain
3838 columnChain.push_back( *botLink );
3840 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
3842 { // the column ends
3843 if ( botLink == startLink )
3844 return _TWISTED_CHAIN; // issue 0020951
3845 linkSet.erase( botLink );
3846 if ( iRow != rowChains.size() )
3847 return _FEW_ROWS; // different nb of rows in columns
3850 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
3851 // link ending at <corner> (sideLink); there are two cases:
3852 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
3853 // since midQuadLink is not at boundary while sideLink is.
3854 // 2) midQuadLink ends at <corner>
3856 TLinkInSet midQuadLink = linksEnd;
3857 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
3859 if ( isCase2 ) { // find midQuadLink among links of botTria
3860 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
3861 if ( midQuadLink->IsBoundary() )
3862 return _BAD_MIDQUAD;
3864 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
3865 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
3868 columnChain.push_back( *midQuadLink );
3869 if ( iRow >= rowChains.size() ) {
3871 return _MANY_ROWS; // different nb of rows in columns
3872 if ( resultChains.size() == nbBndLinks / 2 )
3874 resultChains.push_back( TChain() );
3875 rowChains.push_back( & resultChains.back() );
3877 rowChains[iRow]->push_back( *sideLink );
3878 rowChains[iRow]->push_back( *midQuadLink );
3880 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
3884 // prepare startCorner and startLink for the next column
3885 startCorner = startLink->NextNode( startCorner );
3887 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
3889 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
3890 // check if no more columns remains
3891 if ( startLink != linksEnd ) {
3892 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
3893 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
3894 startLink = linksEnd; // startLink bounds upTria or botTria
3895 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
3899 // find bottom link and corner for the next row
3900 corner = sideLink->NextNode( corner );
3901 // next bottom link ends at the new corner
3902 linkSet.erase( botLink );
3903 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
3904 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
3906 if ( midQuadLink == startLink || sideLink == startLink )
3907 return _TWISTED_CHAIN; // issue 0020951
3908 linkSet.erase( midQuadLink );
3909 linkSet.erase( sideLink );
3911 // make faces neighboring the found ones be boundary
3912 if ( startLink != linksEnd ) {
3913 const QFace* tria = isCase2 ? botTria : upTria;
3914 for ( int iL = 0; iL < 3; ++iL ) {
3915 linkIt = linkSet.find( tria->_sides[iL] );
3916 if ( linkIt != linksEnd )
3917 linkIt->RemoveFace( tria );
3920 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
3921 botLink->RemoveFace( upTria ); // make next botTria first in vector
3928 // In the linkSet, there must remain the last links of rowChains; add them
3929 if ( linkSet.size() != rowChains.size() )
3930 return _BAD_SET_SIZE;
3931 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
3932 // find the link (startLink) ending at startCorner
3934 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
3935 if ( (*startLink)->node1() == startCorner ) {
3936 corner = (*startLink)->node2(); break;
3938 else if ( (*startLink)->node2() == startCorner) {
3939 corner = (*startLink)->node1(); break;
3942 if ( startLink == linksEnd )
3944 rowChains[ iRow ]->push_back( *startLink );
3945 linkSet.erase( startLink );
3946 startCorner = corner;
3952 //================================================================================
3954 * \brief Place medium nodes at the link middle for elements whose corner nodes
3955 * are out of geometrical boundary to prevent distorting elements.
3956 * Issue 0020982, note 0013990
3958 //================================================================================
3960 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
3961 SMESH_ComputeErrorPtr& theError)
3963 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
3964 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
3965 if ( shape.IsNull() ) return;
3967 if ( !theError ) theError = SMESH_ComputeError::New();
3971 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
3973 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
3975 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
3976 if ( !faceSM ) return;
3978 const TopoDS_Face& face = TopoDS::Face( shape );
3979 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
3981 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
3982 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
3984 // check if the EDGE needs checking
3985 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
3986 if ( SMESH_Algo::isDegenerated( edge ) )
3988 if ( theHelper.IsRealSeam( edge ) &&
3989 edge.Orientation() == TopAbs_REVERSED )
3992 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
3993 if ( !edgeSM ) continue;
3996 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
3997 BRepAdaptor_Curve curve3D( edge );
3998 switch ( curve3D.GetType() ) {
3999 case GeomAbs_Line: continue;
4000 case GeomAbs_Circle:
4001 case GeomAbs_Ellipse:
4002 case GeomAbs_Hyperbola:
4003 case GeomAbs_Parabola:
4006 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4007 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4008 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4009 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4010 gp_Vec fNorm = Du1 ^ Dv1;
4011 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4012 continue; // face is normal to the curve3D
4014 gp_Vec curvNorm = fNorm ^ D1;
4015 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4016 if ( curvNorm * D2 > 0 )
4017 continue; // convex edge
4019 catch ( Standard_Failure )
4024 // get nodes shared by faces that may be distorted
4025 SMDS_NodeIteratorPtr nodeIt;
4026 if ( edgeSM->NbNodes() > 0 ) {
4027 nodeIt = edgeSM->GetNodes();
4030 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4032 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4033 if ( !vertexSM ) continue;
4034 nodeIt = vertexSM->GetNodes();
4037 // find suspicious faces
4038 TIDSortedElemSet checkedFaces;
4039 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4040 const SMDS_MeshNode* nOnFace;
4041 while ( nodeIt->more() )
4043 const SMDS_MeshNode* n = nodeIt->next();
4044 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4045 while ( faceIt->more() )
4047 const SMDS_MeshElement* f = faceIt->next();
4048 if ( !faceSM->Contains( f ) ||
4049 f->NbNodes() < 6 || // check quadratic triangles only
4050 !checkedFaces.insert( f ).second )
4053 // get nodes on EDGE and on FACE of a suspicious face
4054 nOnEdge.clear(); nOnFace = 0;
4055 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4056 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4059 if ( n->GetPosition()->GetDim() == 2 )
4062 nOnEdge.push_back( n );
4065 // check if nOnFace is inside the FACE
4066 if ( nOnFace && nOnEdge.size() == 2 )
4068 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4069 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4071 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4072 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4073 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true );
4074 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4075 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4076 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4077 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4078 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4079 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4081 // nOnFace is out of FACE, move a medium on-edge node to the middle
4082 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4083 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4084 MSG( "move OUT of face " << n );
4085 theError->myBadElements.push_back( f );
4091 if ( !theError->myBadElements.empty() )
4092 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4095 } // 2D ==============================================================================
4097 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4099 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4100 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4102 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4103 if ( !solidSM ) return;
4105 // check if the SOLID is bound by concave FACEs
4106 vector< TopoDS_Face > concaveFaces;
4107 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4108 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4110 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4111 if ( !meshDS->MeshElements( face )) continue;
4113 BRepAdaptor_Surface surface( face );
4114 switch ( surface.GetType() ) {
4115 case GeomAbs_Plane: continue;
4116 case GeomAbs_Cylinder:
4118 case GeomAbs_Sphere:
4121 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4122 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4123 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4124 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4125 gp_Vec fNorm = Du1 ^ Dv1;
4126 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4127 bool concaveU = ( fNorm * Du2 > 1e-100 );
4128 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4129 if ( concaveU || concaveV )
4130 concaveFaces.push_back( face );
4132 catch ( Standard_Failure )
4134 concaveFaces.push_back( face );
4138 if ( concaveFaces.empty() )
4141 // fix 2D mesh on the SOLID
4142 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4144 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4145 faceHelper.SetSubShape( faceIt.Current() );
4146 force3DOutOfBoundary( faceHelper, theError );
4149 // get an iterator over faces on concaveFaces
4150 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4151 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4152 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4153 typedef SMDS_IteratorOnIterators
4154 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4155 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4157 // a seacher to check if a volume is close to a concave face
4158 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4159 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4162 //BRepClass3d_SolidClassifier solidClassifier( shape );
4164 TIDSortedElemSet checkedVols, movedNodes;
4165 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4166 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4168 //const TopoDS_Shape& face = faceIt.Current();
4169 const TopoDS_Shape& face = concaveFaces[ iF ];
4170 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4171 if ( !faceSM ) continue;
4173 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4174 SMDS_NodeIteratorPtr nodeIt;
4175 if ( faceSM->NbNodes() > 0 ) {
4176 nodeIt = faceSM->GetNodes();
4179 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4180 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4181 if ( !vertexSM ) continue;
4182 nodeIt = vertexSM->GetNodes();
4184 // get ids of sub-shapes of the FACE
4186 SMESH_subMeshIteratorPtr smIt =
4187 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4188 while ( smIt->more() )
4189 subIDs.insert( smIt->next()->GetId() );
4191 // find suspicious volumes adjacent to the FACE
4192 vector< const SMDS_MeshNode* > nOnFace( 4 );
4193 const SMDS_MeshNode* nInSolid;
4194 while ( nodeIt->more() )
4196 const SMDS_MeshNode* n = nodeIt->next();
4197 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4198 while ( volIt->more() )
4200 const SMDS_MeshElement* vol = volIt->next();
4201 int nbN = vol->NbCornerNodes();
4202 if ( ( nbN != 4 && nbN != 5 ) ||
4203 !solidSM->Contains( vol ) ||
4204 !checkedVols.insert( vol ).second )
4207 // get nodes on FACE and in SOLID of a suspicious volume
4208 nOnFace.clear(); nInSolid = 0;
4209 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4210 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4213 if ( n->GetPosition()->GetDim() == 3 )
4215 else if ( subIDs.count( n->getshapeId() ))
4216 nOnFace.push_back( n );
4218 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4221 // get size of the vol
4222 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4223 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4224 for ( size_t i = 1; i < nOnFace.size(); ++i )
4226 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4229 // check if vol is close to concaveFaces
4230 const SMDS_MeshElement* closeFace =
4231 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4233 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4236 // check if vol is distorted, i.e. a medium node is much closer
4237 // to nInSolid than the link middle
4238 bool isDistorted = false;
4239 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4240 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4242 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4243 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4244 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4245 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4247 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4248 TLinkNodeMap::const_iterator linkIt =
4249 theHelper.GetTLinkNodeMap().find( link );
4250 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4252 links.push_back( make_pair( linkIt->first, linkIt->second ));
4253 if ( !isDistorted ) {
4254 // compare projections of nInSolid and nMedium to face normal
4255 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4256 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4257 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4258 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4262 // move medium nodes to link middle
4265 for ( size_t i = 0; i < links.size(); ++i )
4267 const SMDS_MeshNode* nMedium = links[i].second;
4268 if ( movedNodes.insert( nMedium ).second )
4270 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4271 SMESH_TNodeXYZ( links[i].first.node2() ));
4272 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4273 MSG( "move OUT of solid " << nMedium );
4276 theError->myBadElements.push_back( vol );
4278 } // loop on volumes sharing a node on FACE
4279 } // loop on nodes on FACE
4280 } // loop on FACEs of a SOLID
4282 if ( !theError->myBadElements.empty() )
4283 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4289 //=======================================================================
4291 * \brief Move medium nodes of faces and volumes to fix distorted elements
4292 * \param error - container of fixed distorted elements
4293 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4295 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4297 //=======================================================================
4299 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4302 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4303 if ( getenv("NO_FixQuadraticElements") )
4306 // 0. Apply algorithm to SOLIDs or FACEs
4307 // ----------------------------------------------
4308 if ( myShape.IsNull() ) {
4309 if ( !myMesh->HasShapeToMesh() ) return;
4310 SetSubShape( myMesh->GetShapeToMesh() );
4314 TopTools_IndexedMapOfShape solids;
4315 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4316 nbSolids = solids.Extent();
4318 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4319 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4320 faces.Add( f.Current() ); // not in solid
4322 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4323 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4324 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4325 faces.Add( f.Current() ); // in not meshed solid
4327 else { // fix nodes in the solid and its faces
4329 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4331 SMESH_MesherHelper h(*myMesh);
4332 h.SetSubShape( s.Current() );
4333 h.ToFixNodeParameters(true);
4334 h.FixQuadraticElements( compError, false );
4337 // fix nodes on geom faces
4339 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4341 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4342 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4343 SMESH_MesherHelper h(*myMesh);
4344 h.SetSubShape( fIt.Key() );
4345 h.ToFixNodeParameters(true);
4346 h.FixQuadraticElements( compError, true);
4348 //perf_print_all_meters(1);
4349 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4350 compError->myComment = "during conversion to quadratic, "
4351 "some medium nodes were not placed on geometry to avoid distorting elements";
4355 // 1. Find out type of elements and get iterator on them
4356 // ---------------------------------------------------
4358 SMDS_ElemIteratorPtr elemIt;
4359 SMDSAbs_ElementType elemType = SMDSAbs_All;
4361 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4364 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4365 elemIt = smDS->GetElements();
4366 if ( elemIt->more() ) {
4367 elemType = elemIt->next()->GetType();
4368 elemIt = smDS->GetElements();
4371 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4374 // 2. Fill in auxiliary data structures
4375 // ----------------------------------
4379 set< QLink >::iterator pLink;
4380 set< QFace >::iterator pFace;
4382 bool isCurved = false;
4383 //bool hasRectFaces = false;
4384 //set<int> nbElemNodeSet;
4385 SMDS_VolumeTool volTool;
4387 TIDSortedNodeSet apexOfPyramid;
4388 const int apexIndex = 4;
4391 // Move medium nodes to the link middle for elements whose corner nodes
4392 // are out of geometrical boundary to fix distorted elements.
4393 force3DOutOfBoundary( *this, compError );
4395 if ( elemType == SMDSAbs_Volume )
4397 while ( elemIt->more() ) // loop on volumes
4399 const SMDS_MeshElement* vol = elemIt->next();
4400 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4402 double volMinSize2 = -1.;
4403 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4405 int nbN = volTool.NbFaceNodes( iF );
4406 //nbElemNodeSet.insert( nbN );
4407 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4408 vector< const QLink* > faceLinks( nbN/2 );
4409 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4412 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4413 pLink = links.insert( link ).first;
4414 faceLinks[ iN/2 ] = & *pLink;
4416 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4418 if ( !link.IsStraight() )
4419 return; // already fixed
4421 else if ( !isCurved )
4423 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4424 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4428 pFace = faces.insert( QFace( faceLinks )).first;
4429 if ( pFace->NbVolumes() == 0 )
4430 pFace->AddSelfToLinks();
4431 pFace->SetVolume( vol );
4432 // hasRectFaces = hasRectFaces ||
4433 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4434 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4437 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4439 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4440 faceNodes[4],faceNodes[6] );
4443 // collect pyramid apexes for further correction
4444 if ( vol->NbCornerNodes() == 5 )
4445 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4447 set< QLink >::iterator pLink = links.begin();
4448 for ( ; pLink != links.end(); ++pLink )
4449 pLink->SetContinuesFaces();
4453 while ( elemIt->more() ) // loop on faces
4455 const SMDS_MeshElement* face = elemIt->next();
4456 if ( !face->IsQuadratic() )
4458 //nbElemNodeSet.insert( face->NbNodes() );
4459 int nbN = face->NbNodes()/2;
4460 vector< const QLink* > faceLinks( nbN );
4461 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4464 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4465 pLink = links.insert( link ).first;
4466 faceLinks[ iN ] = & *pLink;
4468 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4469 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4470 isCurved = !link.IsStraight();
4473 pFace = faces.insert( QFace( faceLinks )).first;
4474 pFace->AddSelfToLinks();
4475 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4479 return; // no curved edges of faces
4481 // 3. Compute displacement of medium nodes
4482 // ---------------------------------------
4484 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4485 TopLoc_Location loc;
4487 // not to treat boundary of volumic sub-mesh.
4488 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4489 for ( ; isInside < 2; ++isInside )
4491 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4492 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4493 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4495 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4496 if ( bool(isInside) == pFace->IsBoundary() )
4498 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4501 // make chain of links connected via continues faces
4504 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4506 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4508 vector< TChain > chains;
4509 if ( error == ERR_OK ) { // chain contains continues rectangles
4511 chains[0].splice( chains[0].begin(), rawChain );
4513 else if ( error == ERR_TRI ) { // chain contains continues triangles
4514 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4515 if ( res != _OK ) { // not quadrangles split into triangles
4516 fixTriaNearBoundary( rawChain, *this );
4520 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4521 fixPrism( rawChain );
4527 for ( int iC = 0; iC < chains.size(); ++iC )
4529 TChain& chain = chains[iC];
4530 if ( chain.empty() ) continue;
4531 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4532 MSG("3D straight - ignore");
4535 if ( chain.front()->MediumPos() > bndPos ||
4536 chain.back() ->MediumPos() > bndPos ) {
4537 MSG("Internal chain - ignore");
4540 // mesure chain length and compute link position along the chain
4541 double chainLen = 0;
4542 vector< double > linkPos;
4543 MSGBEG( "Link medium nodes: ");
4544 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4545 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4546 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4547 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4548 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4549 link1 = chain.erase( link1 );
4550 if ( link1 == chain.end() )
4552 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4555 linkPos.push_back( chainLen );
4558 if ( linkPos.size() < 2 )
4561 gp_Vec move0 = chain.front()->_nodeMove;
4562 gp_Vec move1 = chain.back ()->_nodeMove;
4567 // compute node displacement of end links of chain in parametric space of face
4568 TChainLink& linkOnFace = *(++chain.begin());
4569 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4570 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4571 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4573 face = TopoDS::Face( f );
4574 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4576 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4578 TChainLink& link = is1 ? chain.back() : chain.front();
4579 gp_XY uvm = GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV);
4580 gp_XY uv1 = GetNodeUV( face, link->node1(), nodeOnFace, &checkUV);
4581 gp_XY uv2 = GetNodeUV( face, link->node2(), nodeOnFace, &checkUV);
4582 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4583 // uvMove = uvm - uv12
4584 gp_XY uvMove = applyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4585 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4586 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4587 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4588 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4589 10 * uvMove.SquareModulus());
4591 if ( isStraight[0] && isStraight[1] ) {
4592 MSG("2D straight - ignore");
4593 continue; // straight - no need to move nodes of internal links
4596 // check if a chain is already fixed
4597 gp_XY uvm = GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV);
4598 gp_XY uv1 = GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV);
4599 gp_XY uv2 = GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV);
4600 gp_XY uv12 = GetMiddleUV( surf, uv1, uv2);
4601 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4603 MSG("Already fixed - ignore");
4609 if ( isInside || face.IsNull() )
4611 // compute node displacement of end links in their local coord systems
4613 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4614 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4615 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4616 move0.Transform(trsf);
4619 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
4620 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
4621 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4622 move1.Transform(trsf);
4625 // compute displacement of medium nodes
4626 link2 = chain.begin();
4629 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
4631 double r = linkPos[i] / chainLen;
4632 // displacement in local coord system
4633 gp_Vec move = (1. - r) * move0 + r * move1;
4634 if ( isInside || face.IsNull()) {
4635 // transform to global
4636 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
4637 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
4638 gp_Vec x = x01.Normalized() + x12.Normalized();
4639 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
4640 move.Transform(trsf);
4643 // compute 3D displacement by 2D one
4644 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
4645 gp_XY oldUV = GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV);
4646 gp_XY newUV = applyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added);
4647 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
4648 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
4649 if ( SMDS_FacePosition* nPos =
4650 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
4651 nPos->SetParameters( newUV.X(), newUV.Y() );
4653 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
4654 move.SquareMagnitude())
4656 gp_XY uv0 = GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV);
4657 gp_XY uv2 = GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV);
4658 MSG( "TOO LONG MOVE \t" <<
4659 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
4660 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
4661 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
4662 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
4666 (*link1)->Move( move );
4667 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
4668 << chain.front()->_mediumNode->GetID() <<"-"
4669 << chain.back ()->_mediumNode->GetID() <<
4670 " by " << move.Magnitude());
4672 } // loop on chains of links
4673 } // loop on 2 directions of propagation from quadrangle
4675 } // fix faces and/or volumes
4680 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
4681 const SMDS_MeshElement *biQuadQua, *triQuadHex;
4682 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
4683 myMesh->NbBiQuadTriangles() +
4684 myMesh->NbTriQuadraticHexas() );
4686 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
4687 if ( pLink->IsMoved() )
4689 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
4690 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
4692 // collect bi-quadratic elements
4693 if ( toFixCentralNodes )
4695 biQuadQua = triQuadHex = 0;
4696 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
4697 while ( eIt->more() )
4699 const SMDS_MeshElement* e = eIt->next();
4700 switch( e->GetEntityType() ) {
4701 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
4702 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
4703 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
4710 // Fix positions of central nodes of bi-tri-quadratic elements
4712 // treat bi-quad quadrangles
4714 vector< const SMDS_MeshNode* > nodes( 9 );
4716 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
4717 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
4719 const SMDS_MeshElement* quad = *quadIt;
4722 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
4724 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
4725 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4726 const TopoDS_Face& F = TopoDS::Face( S );
4727 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4728 const double tol = BRep_Tool::Tolerance( F );
4730 for ( int i = 0; i < 8; ++i )
4732 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
4733 // as this method is used after mesh generation, UV of nodes is not
4734 // updated according to bending links, so we update
4735 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4736 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4738 // move the central node
4739 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
4740 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4741 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
4745 // treat bi-quad triangles
4747 vector< const SMDS_MeshNode* > nodes;
4749 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
4750 for ( ; triIt != biQuadTris.end(); ++triIt )
4752 const SMDS_MeshElement* tria = *triIt;
4754 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
4755 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
4756 const TopoDS_Face& F = TopoDS::Face( S );
4757 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
4758 const double tol = BRep_Tool::Tolerance( F );
4761 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
4763 for ( int i = 0; i < 6; ++i )
4765 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &checkUV );
4766 // as this method is used after mesh generation, UV of nodes is not
4767 // updated according to bending links, so we update
4768 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
4769 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
4771 // move the central node
4772 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5] );
4773 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
4774 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
4778 // treat tri-quadratic hexahedra
4780 SMDS_VolumeTool volExp;
4781 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
4782 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
4784 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
4786 // fix nodes central in sides
4787 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
4789 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
4790 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
4792 gp_XYZ p = calcTFI( 0.5, 0.5,
4793 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
4794 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
4795 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
4796 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
4797 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
4801 // fix the volume central node
4802 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
4803 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
4805 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
4806 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
4807 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
4808 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
4809 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
4810 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
4811 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
4812 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
4814 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
4815 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
4816 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
4817 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
4818 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
4819 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
4820 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
4821 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
4822 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
4823 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
4824 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
4825 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
4827 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
4828 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
4829 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
4830 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
4831 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
4832 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
4834 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
4835 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
4836 GetMeshDS()->MoveNode( hexNodes[26],
4837 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());