1 // Copyright (C) 2007-2021 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESHDS_Mesh.hxx"
35 #include "SMESH_Block.hxx"
36 #include "SMESH_HypoFilter.hxx"
37 #include "SMESH_Mesh.hxx"
38 #include "SMESH_MeshAlgos.hxx"
39 #include "SMESH_MeshEditor.hxx"
40 #include "SMESH_ProxyMesh.hxx"
41 #include "SMESH_subMesh.hxx"
43 #include <BRepAdaptor_Curve.hxx>
44 #include <BRepAdaptor_Surface.hxx>
45 #include <BRepTools.hxx>
46 #include <BRep_Tool.hxx>
47 #include <Geom2d_Curve.hxx>
48 #include <GeomAPI_ProjectPointOnCurve.hxx>
49 #include <GeomAPI_ProjectPointOnSurf.hxx>
50 #include <Geom_Curve.hxx>
51 #include <Geom_RectangularTrimmedSurface.hxx>
52 #include <Geom_Surface.hxx>
53 #include <ShapeAnalysis.hxx>
55 #include <TopExp_Explorer.hxx>
56 #include <TopTools_ListIteratorOfListOfShape.hxx>
57 #include <TopTools_MapIteratorOfMapOfShape.hxx>
58 #include <TopTools_MapOfShape.hxx>
61 #include <gp_Pnt2d.hxx>
62 #include <gp_Trsf.hxx>
64 #include <Standard_Failure.hxx>
65 #include <Standard_ErrorHandler.hxx>
67 #include <utilities.h>
73 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
77 inline SMESH_NodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_NodeXYZ(n); }
79 enum { U_periodic = 1, V_periodic = 2 };
82 //================================================================================
86 //================================================================================
88 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
92 myCreateQuadratic(false),
93 myCreateBiQuadratic(false),
94 myFixNodeParameters(false)
96 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
97 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
100 //=======================================================================
101 //function : ~SMESH_MesherHelper
103 //=======================================================================
105 SMESH_MesherHelper::~SMESH_MesherHelper()
108 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
109 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
110 delete i_proj->second;
113 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
114 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
115 delete i_proj->second;
119 //================================================================================
121 * \brief Return SMESH_Gen
123 //================================================================================
125 SMESH_Gen* SMESH_MesherHelper::GetGen() const
127 return GetMesh()->GetGen();
130 //================================================================================
132 * \brief Return mesh DS
134 //================================================================================
136 SMESHDS_Mesh* SMESH_MesherHelper::GetMeshDS() const
138 return GetMesh()->GetMeshDS();
141 //=======================================================================
142 //function : IsQuadraticSubMesh
143 //purpose : Check sub-meshes of a given shape: if all elements on sub-shapes
144 // are quadratic, quadratic elements will be created.
145 // Fill myTLinkNodeMap
146 //=======================================================================
148 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
150 SMESHDS_Mesh* meshDS = GetMeshDS();
151 // we can create quadratic elements only if all elements
152 // created on sub-shapes of given shape are quadratic
153 myCreateQuadratic = true;
154 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
155 if ( aSh.ShapeType()==TopAbs_COMPOUND )
157 TopoDS_Iterator subIt( aSh );
159 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
161 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
163 if ( !myMesh->HasShapeToMesh() )
165 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
167 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
168 while ( fIt->more() )
169 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
174 TopExp_Explorer exp( aSh, subType );
175 TopTools_MapOfShape checkedSubShapes;
176 for (; exp.More() && myCreateQuadratic; exp.Next()) {
177 if ( !checkedSubShapes.Add( exp.Current() ))
178 continue; // needed if aSh is compound of solids
179 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
180 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
182 const SMDS_MeshElement* e = it->next();
183 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
184 myCreateQuadratic = false;
189 switch ( e->NbCornerNodes() ) {
191 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
193 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
194 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
195 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
197 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
198 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
199 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
200 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
203 myCreateQuadratic = false;
213 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
214 if ( myTLinkNodeMap.empty() )
215 myCreateQuadratic = false;
217 if ( !myCreateQuadratic )
218 myTLinkNodeMap.clear();
222 return myCreateQuadratic;
225 //=======================================================================
226 //function : SetSubShape
227 //purpose : Set geometry to make elements on
228 //=======================================================================
230 void SMESH_MesherHelper::SetSubShape(const int aShID)
232 if ( aShID == myShapeID )
235 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
237 SetSubShape( TopoDS_Shape() );
240 //=======================================================================
241 //function : SetSubShape
242 //purpose : Set geometry to create elements on
243 //=======================================================================
245 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
247 if ( myShape.IsSame( aSh ))
251 mySeamShapeIds.clear();
252 myDegenShapeIds.clear();
254 if ( myShape.IsNull() ) {
258 SMESHDS_Mesh* meshDS = GetMeshDS();
259 myShapeID = meshDS->ShapeToIndex(aSh);
262 // treatment of periodic faces
263 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
265 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
266 BRepAdaptor_Surface surf( face, false );
267 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
268 myParIndex |= U_periodic;
269 myPar1[0] = surf.FirstUParameter();
270 myPar2[0] = surf.LastUParameter();
272 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
273 myParIndex |= V_periodic;
274 myPar1[1] = surf.FirstVParameter();
275 myPar2[1] = surf.LastVParameter();
279 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
281 // look for a "seam" edge, a real seam or an edge on period boundary
282 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
283 const int edgeID = meshDS->ShapeToIndex( edge );
286 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
287 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
288 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
290 bool isSeam = BRep_Tool::IsClosed( edge, face );
291 if ( isSeam ) // real seam - having two pcurves on face
293 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
296 double u1 = uv1.Coord(1);
298 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
299 double u2 = uv1.Coord(1);
300 myPar1[0] = Min( u1, u2 );
301 myPar2[0] = Max( u1, u2 );
302 myParIndex |= U_periodic;
306 double v1 = uv1.Coord(2);
308 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
309 double v2 = uv1.Coord(2);
310 myPar1[1] = Min( v1, v2 );
311 myPar2[1] = Max( v1, v2 );
312 myParIndex |= V_periodic;
315 else //if ( !isSeam )
317 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
318 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
320 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
321 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
323 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
325 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
326 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
328 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
330 double f,l, r = 0.2345;
331 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
338 uv2 = C2d->Value( f * r + l * ( 1.-r ));
339 if ( du < Precision::PConfusion() )
340 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
342 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
348 // store seam shape indices, negative if shape encounters twice ('real seam')
349 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
350 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
351 int vertexID = meshDS->ShapeToIndex( v.Current() );
352 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
356 // look for a degenerated edge
357 if ( SMESH_Algo::isDegenerated( edge )) {
358 myDegenShapeIds.insert( edgeID );
359 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
360 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
362 if ( !BRep_Tool::SameParameter( edge ) ||
363 !BRep_Tool::SameRange( edge ))
365 setPosOnShapeValidity( edgeID, false );
371 //=======================================================================
373 * \brief Copy shape information from another helper. Used to improve performance
374 * since SetSubShape() can be time consuming if there are many edges
376 //=======================================================================
378 void SMESH_MesherHelper::CopySubShapeInfo(const SMESH_MesherHelper& other)
380 this->myShape = other.myShape;
381 this->myShapeID = other.myShapeID;
382 this->myDegenShapeIds = other.myDegenShapeIds;
383 this->mySeamShapeIds = other.mySeamShapeIds;
384 this->myPar1[0] = other.myPar1[0];
385 this->myPar1[1] = other.myPar1[1];
386 this->myPar2[0] = other.myPar2[0];
387 this->myPar2[1] = other.myPar2[1];
388 this->myParIndex = other.myParIndex;
389 this->myFace2Surface = other.myFace2Surface;
392 //=======================================================================
393 //function : ShapeToIndex
394 //purpose : Convert a shape to its index in the SMESHDS_Mesh
395 //=======================================================================
397 int SMESH_MesherHelper::ShapeToIndex( const TopoDS_Shape& S ) const
399 return GetMeshDS()->ShapeToIndex( S );
402 //=======================================================================
403 //function : GetNodeUVneedInFaceNode
404 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
405 // Return true if the face is periodic.
406 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
408 //=======================================================================
410 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
412 if ( F.IsNull() ) return !mySeamShapeIds.empty();
414 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
415 return !mySeamShapeIds.empty();
418 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
419 if ( !aSurface.IsNull() )
420 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
425 //=======================================================================
426 //function : IsMedium
428 //=======================================================================
430 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
431 const SMDSAbs_ElementType typeToCheck)
433 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
436 //=======================================================================
437 //function : GetSubShapeByNode
438 //purpose : Return support shape of a node
439 //=======================================================================
441 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
442 const SMESHDS_Mesh* meshDS)
444 int shapeID = node ? node->getshapeId() : 0;
445 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
446 return meshDS->IndexToShape( shapeID );
448 return TopoDS_Shape();
452 //=======================================================================
453 //function : AddTLinkNode
454 //purpose : add a link in my data structure
455 //=======================================================================
457 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
458 const SMDS_MeshNode* n2,
459 const SMDS_MeshNode* n12)
461 // add new record to map
462 SMESH_TLink link( n1, n2 );
463 myTLinkNodeMap.insert( make_pair(link,n12));
466 //================================================================================
468 * \brief Add quadratic links of edge to own data structure
470 //================================================================================
472 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
474 if ( edge && edge->IsQuadratic() )
475 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
481 //================================================================================
483 * \brief Add quadratic links of face to own data structure
485 //================================================================================
487 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
491 switch ( f->NbNodes() ) {
493 // myMapWithCentralNode.insert
494 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
496 // break; -- add medium nodes as well
498 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
499 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
500 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
503 // myMapWithCentralNode.insert
504 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
506 // break; -- add medium nodes as well
508 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
509 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
510 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
511 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
518 //================================================================================
520 * \brief Add quadratic links of volume to own data structure
522 //================================================================================
524 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
526 if ( volume->IsQuadratic() )
528 SMDS_VolumeTool vTool( volume );
529 const SMDS_MeshNode** nodes = vTool.GetNodes();
531 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
533 const int nbN = vTool.NbFaceNodes( iF );
534 const int* iNodes = vTool.GetFaceNodesIndices( iF );
535 for ( int i = 0; i < nbN; )
537 int iN1 = iNodes[i++];
538 int iN12 = iNodes[i++];
540 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
541 int linkID = iN1 * vTool.NbNodes() + iN2;
542 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
543 if ( it_isNew.second )
544 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
546 addedLinks.erase( it_isNew.first ); // each link encounters only twice
548 if ( vTool.NbNodes() == 27 )
550 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
551 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
552 myMapWithCentralNode.insert
553 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
554 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
563 //================================================================================
565 * \brief Return true if position of nodes on the shape hasn't yet been checked or
566 * the positions proved to be invalid
568 //================================================================================
570 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
572 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
573 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
576 //================================================================================
578 * \brief Set validity of positions of nodes on the shape.
579 * Once set, validity is not changed
581 //================================================================================
583 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
585 std::map< int,bool >::iterator sh_ok =
586 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
591 //=======================================================================
592 //function : ToFixNodeParameters
593 //purpose : Enables fixing node parameters on EDGEs and FACEs in
594 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
595 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
597 //=======================================================================
599 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
601 myFixNodeParameters = toFix;
605 //=======================================================================
606 //function : getUVOnSeam
607 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
608 //=======================================================================
610 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
612 gp_Pnt2d result = uv1;
613 for ( int i = U_periodic; i <= V_periodic ; ++i )
615 if ( myParIndex & i )
617 double p1 = uv1.Coord( i );
618 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
619 if ( myParIndex == i ||
620 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
621 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
623 double p2 = uv2.Coord( i );
624 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
625 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
626 result.SetCoord( i, p1Alt );
633 //=======================================================================
634 //function : GetNodeUV
635 //purpose : Return node UV on face
636 //=======================================================================
638 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
639 const SMDS_MeshNode* n,
640 const SMDS_MeshNode* n2,
643 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
645 SMDS_PositionPtr pos = n->GetPosition();
647 if ( pos->GetTypeOfPosition() == SMDS_TOP_FACE )
649 // node has position on face
650 SMDS_FacePositionPtr fpos = pos;
651 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
653 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
655 else if ( pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
657 // node has position on EDGE => it is needed to find
658 // corresponding EDGE from FACE, get pcurve for this
659 // EDGE and retrieve value from this pcurve
660 SMDS_EdgePositionPtr epos = pos;
661 const int edgeID = n->getshapeId();
662 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
663 double f, l, u = epos->GetUParameter();
664 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
665 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
666 if ( validU ) uv = C2d->Value( u );
667 else uv.SetCoord( Precision::Infinite(),0.);
668 if ( check || !validU )
669 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
671 // for a node on a seam EDGE select one of UVs on 2 pcurves
672 if ( n2 && IsSeamShape( edgeID ))
674 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
677 { // adjust uv to period
679 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
680 Standard_Boolean isUPeriodic = S->IsUPeriodic();
681 Standard_Boolean isVPeriodic = S->IsVPeriodic();
683 if ( isUPeriodic || isVPeriodic ) {
684 Standard_Real UF,UL,VF,VL;
685 S->Bounds(UF,UL,VF,VL);
686 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
687 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
691 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
692 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
693 newUV.SetX( uv.X() );
694 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
695 newUV.SetY( uv.Y() );
701 else if ( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
703 if ( int vertexID = n->getshapeId() ) {
704 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
706 uv = BRep_Tool::Parameters( V, F );
709 catch (Standard_Failure& exc) {
713 if ( !IsSubShape( V, F ))
715 MESSAGE("GetNodeUV() Vertex "<< vertexID <<" not in face "<< GetMeshDS()->ShapeToIndex(F));
716 // get UV of a vertex closest to the node
718 gp_Pnt pn = XYZ( n );
719 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
720 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
721 gp_Pnt p = BRep_Tool::Pnt( curV );
722 double curDist = p.SquareDistance( pn );
723 if ( curDist < dist ) {
725 uv = BRep_Tool::Parameters( curV, F );
726 uvOK = ( dist < DBL_MIN );
733 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
734 for ( ; it.More(); it.Next() ) {
735 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
736 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
738 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
739 if ( !C2d.IsNull() ) {
740 double u = ( V == IthVertex( 0, edge )) ? f : l;
741 uv = C2d->Value( u );
742 gp_Pnt p = GetSurface( F )->Value( uv );
743 uvOK = ( p.Distance( BRep_Tool::Pnt( V )) < getFaceMaxTol( F ));
748 if ( !uvOK && V.Orientation() == TopAbs_INTERNAL )
750 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
751 if ( n2 ) uv = GetNodeUV( F, n2 );
752 if ( Precision::IsInfinite( uv.X() ))
753 uv = projector->NextValueOfUV( uv, BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
755 uv = projector->ValueOfUV( BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
756 uvOK = ( projector->Gap() < getFaceMaxTol( F ));
760 if ( n2 && IsSeamShape( vertexID ))
762 bool isSeam = ( myShape.IsSame( F ));
764 SMESH_MesherHelper h( *myMesh );
766 isSeam = IsSeamShape( vertexID );
770 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
772 else if ( myParIndex && n2 )
775 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0 );
776 if ( myParIndex & 1 )
777 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod( uv.X(), myPar1[0], myPar2[0]));
778 if ( myParIndex & 2 )
779 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod( uv.Y(), myPar1[1], myPar2[1]));
780 if ( uv.SquareDistance( uv2 ) > oldUV.SquareDistance( uv2 ))
787 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
790 if ( check && !uvOK )
796 //=======================================================================
797 //function : CheckNodeUV
798 //purpose : Check and fix node UV on a face
799 //=======================================================================
801 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
802 const SMDS_MeshNode* n,
806 double distXYZ[4]) const
808 int shapeID = n->getshapeId();
810 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
812 ( uv.X() == 0. && uv.Y() == 0. ) ||
813 ( toCheckPosOnShape( shapeID )))
815 // check that uv is correct
817 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
818 SMESH_NodeXYZ nXYZ( n );
819 gp_Pnt nodePnt = nXYZ, surfPnt(0,0,0);
821 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
823 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
825 setPosOnShapeValidity( shapeID, false );
826 // uv incorrect, project the node to surface
827 Handle(ShapeAnalysis_Surface) sprojector = GetSurface( F );
828 uv = sprojector->ValueOfUV( nXYZ, tol ).XY();
829 surfPnt = sprojector->Value( uv );
830 dist = surfPnt.Distance( nXYZ );
833 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
837 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
840 // store the fixed UV on the face
841 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
842 const_cast<SMDS_MeshNode*>(n)->SetPosition
843 ( SMDS_PositionPtr( new SMDS_FacePosition( uv.X(), uv.Y() )));
845 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
847 setPosOnShapeValidity( shapeID, true );
853 //=======================================================================
854 //function : GetProjector
855 //purpose : Return projector initialized by given face without location, which is returned
856 //=======================================================================
858 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
859 TopLoc_Location& loc,
862 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
863 int faceID = GetMeshDS()->ShapeToIndex( F );
864 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
865 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
866 if ( i_proj == i2proj.end() )
868 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
869 double U1, U2, V1, V2;
870 surface->Bounds(U1, U2, V1, V2);
871 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
872 proj->Init( surface, U1, U2, V1, V2, tol );
873 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
875 return *( i_proj->second );
878 //=======================================================================
879 //function : GetSurface
880 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
881 //=======================================================================
883 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
885 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
886 int faceID = GetMeshDS()->ShapeToIndex( F );
887 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
888 if ( i_surf == myFace2Surface.end() && faceID )
890 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
891 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
893 return i_surf->second;
898 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
899 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
900 gp_XY_FunPtr(Subtracted);
903 //=======================================================================
904 //function : ApplyIn2D
905 //purpose : Perform given operation on two 2d points in parameric space of given surface.
906 // It takes into account period of the surface. Use gp_XY_FunPtr macro
907 // to easily define pointer to function of gp_XY class.
908 //=======================================================================
910 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
914 const bool resultInPeriod)
916 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
917 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
918 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
919 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
920 if ( !isUPeriodic && !isVPeriodic )
923 // move uv2 not far than half-period from uv1
925 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
927 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
930 gp_XY res = fun( uv1, gp_XY(u2,v2) );
932 // move result within period
933 if ( resultInPeriod )
935 Standard_Real UF,UL,VF,VL;
936 surface->Bounds(UF,UL,VF,VL);
938 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
940 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
946 //=======================================================================
947 //function : AdjustByPeriod
948 //purpose : Move node positions on a FACE within surface period
949 //=======================================================================
951 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
953 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
954 ph->SetSubShape( face );
956 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
957 if ( ph->GetPeriodicIndex() & iCoo )
959 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
960 const double xRef = uv[0].Coord( iCoo );
961 for ( int i = 1; i < nbUV; ++i )
963 double x = uv[i].Coord( iCoo );
964 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
965 uv[i].SetCoord( iCoo, x + dx );
970 //=======================================================================
971 //function : GetMiddleUV
972 //purpose : Return middle UV taking in account surface period
973 //=======================================================================
975 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
980 // the proper place of getting basic surface seems to be in ApplyIn2D()
981 // but we put it here to decrease a risk of regressions just before releasing a version
982 // Handle(Geom_Surface) surf = surface;
983 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
984 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
986 return ApplyIn2D( surface, p1, p2, & AverageUV );
989 //=======================================================================
990 //function : GetCenterUV
991 //purpose : Return UV for the central node of a biquadratic triangle
992 //=======================================================================
994 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
1000 bool * isBadTria/*=0*/)
1003 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
1005 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
1006 uvAvg = ( uv1 + uv23 ) / 2.;
1007 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
1008 uvAvg = ( uv2 + uv31 ) / 2.;
1009 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
1010 uvAvg = ( uv3 + uv12 ) / 2.;
1013 *isBadTria = badTria;
1017 //=======================================================================
1018 //function : GetNodeU
1019 //purpose : Return node U on edge
1020 //=======================================================================
1022 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
1023 const SMDS_MeshNode* n,
1024 const SMDS_MeshNode* inEdgeNode,
1027 double param = Precision::Infinite();
1029 const SMDS_PositionPtr pos = n->GetPosition();
1030 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1032 param = pos->GetParameters()[0];
1034 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
1036 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
1039 BRep_Tool::Range( E, f,l );
1040 double uInEdge = GetNodeU( E, inEdgeNode );
1041 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
1045 SMESHDS_Mesh * meshDS = GetMeshDS();
1046 int vertexID = n->getshapeId();
1047 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
1048 param = BRep_Tool::Parameter( V, E );
1052 BRepAdaptor_Curve curve( E );
1053 if ( curve.IsPeriodic() )
1055 double uInEdge = GetNodeU( E, inEdgeNode );
1056 param += ShapeAnalysis::AdjustByPeriod( param, uInEdge, curve.Period() );
1063 double tol = BRep_Tool::Tolerance( E );
1064 double f,l; BRep_Tool::Range( E, f,l );
1065 bool force = ( param < f-tol || param > l+tol );
1066 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1067 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1069 *check = CheckNodeU( E, n, param, 2*tol, force );
1074 //=======================================================================
1075 //function : CheckNodeU
1076 //purpose : Check and fix node U on an edge
1077 // Return false if U is bad and could not be fixed
1078 //=======================================================================
1080 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1081 const SMDS_MeshNode* n,
1085 double distXYZ[4]) const
1087 int shapeID = n->getshapeId();
1089 if (( infinit = Precision::IsInfinite( u )) ||
1092 ( toCheckPosOnShape( shapeID )))
1094 TopLoc_Location loc; double f,l;
1095 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1096 if ( curve.IsNull() ) // degenerated edge
1098 if ( u+tol < f || u-tol > l )
1100 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1106 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1107 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1109 double dist = 2*tol;
1112 curvPnt = curve->Value( u );
1113 dist = nodePnt.Distance( curvPnt );
1115 curvPnt.Transform( loc );
1117 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1122 setPosOnShapeValidity( shapeID, false );
1123 // u incorrect, project the node to the curve
1124 int edgeID = GetMeshDS()->ShapeToIndex( E );
1125 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1126 TID2ProjectorOnCurve::iterator i_proj =
1127 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1128 if ( !i_proj->second )
1130 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1131 i_proj->second->Init( curve, f, l );
1133 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1134 projector->Perform( nodePnt );
1135 if ( projector->NbPoints() < 1 )
1137 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1140 Standard_Real U = projector->LowerDistanceParameter();
1142 curvPnt = curve->Value( u );
1143 dist = nodePnt.Distance( curvPnt );
1145 curvPnt.Transform( loc );
1147 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1151 MESSAGE( "CheckNodeU(), invalid projection; distance " << dist << "; tol " << tol );
1154 // store the fixed U on the edge
1155 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1156 const_cast<SMDS_MeshNode*>(n)->SetPosition
1157 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1159 else if ( fabs( u ) > numeric_limits<double>::min() )
1161 setPosOnShapeValidity( shapeID, true );
1163 if (( u < f-tol || u > l+tol ) && force )
1165 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1166 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1169 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1170 double period = curve->Period();
1171 u = ( u < f ) ? u + period : u - period;
1173 catch (Standard_Failure& exc)
1183 //=======================================================================
1184 //function : GetMediumPos
1185 //purpose : Return index and type of the shape (EDGE or FACE only) to
1186 // set a medium node on
1187 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1189 //param : expectedSupport - shape type corresponding to element being created,
1190 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1191 // basing on \a n1 and \a n2
1192 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1193 // case where the lower dim mesh is already constructed and converted to quadratic,
1194 // else, nodes on EDGEs are assigned to FACE, for example.
1195 //=======================================================================
1197 std::pair<int, TopAbs_ShapeEnum>
1198 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1199 const SMDS_MeshNode* n2,
1200 const bool useCurSubShape,
1201 TopAbs_ShapeEnum expectedSupport)
1203 if ( useCurSubShape && !myShape.IsNull() )
1204 return std::make_pair( myShapeID, myShape.ShapeType() );
1206 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1210 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1212 shapeType = myShape.ShapeType();
1213 shapeID = myShapeID;
1215 else if ( n1->getshapeId() == n2->getshapeId() )
1217 shapeID = n2->getshapeId();
1218 shape = GetSubShapeByNode( n1, GetMeshDS() );
1220 else // 2 different shapes
1222 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1223 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1225 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1229 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1232 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1234 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1235 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1236 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1237 if ( IsSubShape( S, F ))
1239 shapeType = TopAbs_FACE;
1240 shapeID = n1->getshapeId();
1244 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1246 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1247 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1248 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1250 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1252 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1253 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1254 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1255 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1257 else // on VERTEX and EDGE
1259 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1260 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1261 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1262 if ( IsSubShape( V, E ))
1265 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1269 if ( !shape.IsNull() )
1272 shapeID = GetMeshDS()->ShapeToIndex( shape );
1273 shapeType = shape.ShapeType(); // EDGE or FACE
1275 if ( expectedSupport < shapeType &&
1276 expectedSupport != TopAbs_SHAPE &&
1277 !myShape.IsNull() &&
1278 myShape.ShapeType() == expectedSupport )
1280 // e.g. a side of triangle connects nodes on the same EDGE but does not
1281 // lie on this EDGE (an arc with a coarse mesh)
1282 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1283 // hope that myShape is a right shape, return it if the found shape
1284 // has converted elements of corresponding dim (segments in our example)
1285 int nbConvertedElems = 0;
1286 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1287 for ( int iN = 0; iN < 2; ++iN )
1289 const SMDS_MeshNode* n = iN ? n2 : n1;
1290 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1291 while ( it->more() )
1293 const SMDS_MeshElement* elem = it->next();
1294 if ( elem->getshapeId() == shapeID &&
1295 elem->IsQuadratic() )
1302 if ( nbConvertedElems == 2 )
1304 shapeType = myShape.ShapeType();
1305 shapeID = myShapeID;
1309 return make_pair( shapeID, shapeType );
1312 //=======================================================================
1313 //function : GetCentralNode
1314 //purpose : Return existing or create a new central node for a quardilateral
1315 // quadratic face given its 8 nodes.
1316 //@param : force3d - true means node creation in between the given nodes,
1317 // else node position is found on a geometrical face if any.
1318 //=======================================================================
1320 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1321 const SMDS_MeshNode* n2,
1322 const SMDS_MeshNode* n3,
1323 const SMDS_MeshNode* n4,
1324 const SMDS_MeshNode* n12,
1325 const SMDS_MeshNode* n23,
1326 const SMDS_MeshNode* n34,
1327 const SMDS_MeshNode* n41,
1330 SMDS_MeshNode *centralNode = 0; // central node to return
1332 // Find an existing central node
1334 TBiQuad keyOfMap(n1,n2,n3,n4);
1335 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1336 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1337 if ( itMapCentralNode != myMapWithCentralNode.end() )
1339 return (*itMapCentralNode).second;
1342 // Get type of shape for the new central node
1344 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1348 TopTools_ListIteratorOfListOfShape it;
1350 std::map< int, int > faceId2nbNodes;
1351 std::map< int, int > ::iterator itMapWithIdFace;
1353 SMESHDS_Mesh* meshDS = GetMeshDS();
1355 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1356 // on sub-shapes of the FACE
1357 if ( GetMesh()->HasShapeToMesh() )
1359 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1360 for(int i = 0; i < 4; i++)
1362 shape = GetSubShapeByNode( nodes[i], meshDS );
1363 if ( shape.IsNull() ) break;
1364 if ( shape.ShapeType() == TopAbs_SOLID )
1366 solidID = nodes[i]->getshapeId();
1367 shapeType = TopAbs_SOLID;
1370 if ( shape.ShapeType() == TopAbs_FACE )
1372 faceID = nodes[i]->getshapeId();
1373 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1374 itMapWithIdFace->second++;
1378 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1379 while ( const TopoDS_Shape* face = it->next() )
1381 faceID = meshDS->ShapeToIndex( *face );
1382 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1383 itMapWithIdFace->second++;
1388 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1390 // find ID of the FACE the four corner nodes belong to
1391 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1392 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1393 itMapWithIdFace->second == 4 )
1395 shapeType = TopAbs_FACE;
1400 itMapWithIdFace = faceId2nbNodes.begin();
1401 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1403 if ( itMapWithIdFace->second == 4 )
1405 shapeType = TopAbs_FACE;
1406 faceID = (*itMapWithIdFace).first;
1414 if ( shapeType == TopAbs_FACE )
1416 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1423 bool toCheck = true;
1424 if ( !F.IsNull() && !force3d )
1426 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1427 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1429 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1430 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1431 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1432 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1433 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1434 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1435 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1440 GetNodeUV( F,n1, n3, &toCheck ),
1441 GetNodeUV( F,n2, n4, &toCheck ),
1442 GetNodeUV( F,n3, n1, &toCheck ),
1443 GetNodeUV( F,n4, n2, &toCheck ),
1444 GetNodeUV( F,n12, n3 ),
1445 GetNodeUV( F,n23, n4 ),
1446 GetNodeUV( F,n34, n2 ),
1447 GetNodeUV( F,n41, n2 )
1449 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1451 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1453 P = surface->Value( uvAvg );
1454 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1455 // if ( mySetElemOnShape ) node is not elem!
1456 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1458 else // ( force3d || F.IsNull() )
1460 P = calcTFI (0.5, 0.5,
1461 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1462 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1463 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1464 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1465 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1467 if ( !F.IsNull() ) // force3d
1469 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1470 GetNodeUV(F,n2,n4,&toCheck) +
1471 GetNodeUV(F,n3,n1,&toCheck) +
1472 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1473 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1474 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1476 else if ( solidID > 0 )
1478 meshDS->SetNodeInVolume( centralNode, solidID );
1480 else if ( myShapeID > 0 && mySetElemOnShape )
1482 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1485 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1489 //=======================================================================
1490 //function : GetCentralNode
1491 //purpose : Return existing or create a new central node for a
1492 // quadratic triangle given its 6 nodes.
1493 //@param : force3d - true means node creation in between the given nodes,
1494 // else node position is found on a geometrical face if any.
1495 //=======================================================================
1497 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1498 const SMDS_MeshNode* n2,
1499 const SMDS_MeshNode* n3,
1500 const SMDS_MeshNode* n12,
1501 const SMDS_MeshNode* n23,
1502 const SMDS_MeshNode* n31,
1505 SMDS_MeshNode *centralNode = 0; // central node to return
1507 // Find an existing central node
1509 TBiQuad keyOfMap(n1,n2,n3);
1510 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1511 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1512 if ( itMapCentralNode != myMapWithCentralNode.end() )
1514 return (*itMapCentralNode).second;
1517 // Get type of shape for the new central node
1519 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1523 TopTools_ListIteratorOfListOfShape it;
1525 std::map< int, int > faceId2nbNodes;
1526 std::map< int, int > ::iterator itMapWithIdFace;
1528 SMESHDS_Mesh* meshDS = GetMeshDS();
1530 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1531 // on sub-shapes of the FACE
1532 if ( GetMesh()->HasShapeToMesh() )
1534 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1535 for(int i = 0; i < 3; i++)
1537 shape = GetSubShapeByNode( nodes[i], meshDS );
1538 if ( shape.IsNull() ) break;
1539 if ( shape.ShapeType() == TopAbs_SOLID )
1541 solidID = nodes[i]->getshapeId();
1542 shapeType = TopAbs_SOLID;
1545 if ( shape.ShapeType() == TopAbs_FACE )
1547 faceID = nodes[i]->getshapeId();
1548 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1549 itMapWithIdFace->second++;
1553 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1554 while ( const TopoDS_Shape* face = it->next() )
1556 faceID = meshDS->ShapeToIndex( *face );
1557 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1558 itMapWithIdFace->second++;
1563 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1565 // find ID of the FACE the four corner nodes belong to
1566 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1567 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1568 itMapWithIdFace->second == 4 )
1570 shapeType = TopAbs_FACE;
1575 itMapWithIdFace = faceId2nbNodes.begin();
1576 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1578 if ( itMapWithIdFace->second == 3 )
1580 shapeType = TopAbs_FACE;
1581 faceID = (*itMapWithIdFace).first;
1591 if ( shapeType == TopAbs_FACE )
1593 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1594 bool checkOK = true, badTria = false;
1596 GetNodeUV( F, n1, n23, &checkOK ),
1597 GetNodeUV( F, n2, n31, &checkOK ),
1598 GetNodeUV( F, n3, n12, &checkOK ),
1599 GetNodeUV( F, n12, n3, &checkOK ),
1600 GetNodeUV( F, n23, n1, &checkOK ),
1601 GetNodeUV( F, n31, n2, &checkOK )
1603 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1605 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1607 if ( badTria || !checkOK )
1611 // Create a central node
1614 if ( !F.IsNull() && !force3d )
1616 TopLoc_Location loc;
1617 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1618 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1619 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1620 // if ( mySetElemOnShape ) node is not elem!
1621 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1623 else // ( force3d || F.IsNull() )
1625 P = ( SMESH_TNodeXYZ( n12 ) +
1626 SMESH_TNodeXYZ( n23 ) +
1627 SMESH_TNodeXYZ( n31 ) ) / 3;
1628 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1630 if ( !F.IsNull() ) // force3d
1632 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1634 else if ( solidID > 0 )
1636 meshDS->SetNodeInVolume( centralNode, solidID );
1638 else if ( myShapeID > 0 && mySetElemOnShape )
1640 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1643 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1647 //=======================================================================
1648 //function : GetMediumNode
1649 //purpose : Return existing or create a new medium node between given ones
1650 //=======================================================================
1652 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1653 const SMDS_MeshNode* n2,
1655 TopAbs_ShapeEnum expectedSupport)
1657 // Find existing node
1659 SMESH_TLink link(n1,n2);
1660 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1661 if ( itLN != myTLinkNodeMap.end() ) {
1662 return (*itLN).second;
1665 // Create medium node
1668 SMESHDS_Mesh* meshDS = GetMeshDS();
1670 if ( IsSeamShape( n1->getshapeId() ))
1671 // to get a correct UV of a node on seam, the second node must have checked UV
1672 std::swap( n1, n2 );
1674 // get type of shape for the new medium node
1675 int faceID = -1, edgeID = -1;
1676 TopoDS_Edge E; double u [2] = {0.,0.};
1677 TopoDS_Face F; gp_XY uv[2];
1678 bool uvOK[2] = { true, true };
1679 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1681 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1683 // get positions of the given nodes on shapes
1684 if ( pos.second == TopAbs_FACE )
1686 F = TopoDS::Face( meshDS->IndexToShape( faceID = pos.first ));
1687 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1688 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1690 else if ( pos.second == TopAbs_EDGE )
1692 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1693 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1694 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1695 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1696 n1->getshapeId() != n2->getshapeId() )
1699 return getMediumNodeOnComposedWire(n1,n2,force3d);
1701 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1703 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1704 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1706 catch ( Standard_Failure& f )
1708 // issue 22502 / a node is on VERTEX not belonging to E
1709 // issue 22568 / both nodes are on non-connected VERTEXes
1710 return getMediumNodeOnComposedWire(n1,n2,force3d);
1714 if ( !force3d & uvOK[0] && uvOK[1] )
1716 // we try to create medium node using UV parameters of
1717 // nodes, else - medium between corresponding 3d points
1720 if ( IsDegenShape( n1->getshapeId() )) {
1721 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1722 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1724 else if ( IsDegenShape( n2->getshapeId() )) {
1725 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1726 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1728 TopLoc_Location loc;
1729 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1730 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1731 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1733 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1734 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1735 double distMid = pMid.SquareDistance( P );
1736 double dist12 = ( p1 - p2 ).SquareModulus();
1737 Handle(ShapeAnalysis_Surface) surfInfo = GetSurface( F );
1738 if ( distMid > dist12 ||
1739 HasDegeneratedEdges() ||
1740 surfInfo->HasSingularities( 1e-7 ) )
1742 // IPAL52850 (degen VERTEX not at singularity)
1743 // project middle point to a surface
1746 uvMid = surfInfo->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1748 uvMid = surfInfo->ValueOfUV( pMid, getFaceMaxTol( F ));
1749 if ( surfInfo->Gap() * surfInfo->Gap() < distMid )
1750 P = surfInfo->Value( uvMid );
1752 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1753 // if ( mySetElemOnShape ) node is not elem!
1754 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1755 myTLinkNodeMap.insert(make_pair(link,n12));
1758 else if ( !E.IsNull() )
1761 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1764 Standard_Boolean isPeriodic = C->IsPeriodic();
1767 Standard_Real Period = C->Period();
1768 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1769 Standard_Real pmid = (u[0]+p)/2.;
1770 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1775 gp_Pnt P = C->Value( U );
1776 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1777 //if ( mySetElemOnShape ) node is not elem!
1778 meshDS->SetNodeOnEdge(n12, edgeID, U);
1779 myTLinkNodeMap.insert(make_pair(link,n12));
1786 double x = ( n1->X() + n2->X() )/2.;
1787 double y = ( n1->Y() + n2->Y() )/2.;
1788 double z = ( n1->Z() + n2->Z() )/2.;
1789 n12 = meshDS->AddNode(x,y,z);
1791 //if ( mySetElemOnShape ) node is not elem!
1795 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1796 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1797 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1799 else if ( !E.IsNull() )
1801 double U = ( u[0] + u[1] ) / 2.;
1802 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1803 meshDS->SetNodeOnEdge(n12, edgeID, U);
1805 else if ( myShapeID > 0 && mySetElemOnShape )
1807 meshDS->SetMeshElementOnShape(n12, myShapeID);
1811 myTLinkNodeMap.insert( make_pair( link, n12 ));
1815 //================================================================================
1817 * \brief Makes a medium node if nodes reside different edges
1819 //================================================================================
1821 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1822 const SMDS_MeshNode* n2,
1825 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1826 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1827 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1829 // To find position on edge and 3D position for n12,
1830 // project <middle> to 2 edges and select projection most close to <middle>
1832 TopoDS_Edge bestEdge;
1833 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1835 // get shapes under the nodes
1836 TopoDS_Shape shape[2];
1838 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1840 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1841 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1843 shape[ nbShapes++ ] = S;
1846 vector< TopoDS_Shape > edges;
1847 for ( int iS = 0; iS < nbShapes; ++iS )
1849 switch ( shape[iS].ShapeType() ) {
1852 edges.push_back( shape[iS] );
1858 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1859 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1861 if ( edge.IsNull() )
1863 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1864 while( const TopoDS_Shape* e = eIt->next() )
1865 edges.push_back( *e );
1871 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1872 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1873 edges.push_back( e.Current() );
1880 // project to get U of projection and distance from middle to projection
1881 for ( size_t iE = 0; iE < edges.size(); ++iE )
1883 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1884 distXYZ[0] = distMiddleProj;
1886 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1887 if ( distXYZ[0] < distMiddleProj )
1889 distMiddleProj = distXYZ[0];
1895 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1896 // TopoDS_Vertex vCommon;
1897 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1898 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1901 // double f,l, u0 = GetNodeU( edges[0], n1 );
1902 // BRep_Tool::Range( edges[0],f,l );
1903 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1906 // distMiddleProj = 0;
1909 if ( !bestEdge.IsNull() )
1911 // move n12 to position of a successful projection
1912 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1913 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1915 TopLoc_Location loc;
1916 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1917 gp_Pnt p = curve->Value( u ).Transformed( loc );
1918 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1920 //if ( mySetElemOnShape ) node is not elem!
1922 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1923 if ( edgeID != n12->getshapeId() )
1924 GetMeshDS()->UnSetNodeOnShape( n12 );
1925 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1928 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1933 //=======================================================================
1934 //function : AddNode
1935 //purpose : Creates a node
1936 //=======================================================================
1938 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, smIdType ID,
1941 SMESHDS_Mesh * meshDS = GetMeshDS();
1942 SMDS_MeshNode* node = 0;
1944 node = meshDS->AddNodeWithID( x, y, z, ID );
1946 node = meshDS->AddNode( x, y, z );
1947 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1948 switch ( myShape.ShapeType() ) {
1949 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1950 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1951 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1952 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1953 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1960 //=======================================================================
1961 //function : AddEdge
1962 //purpose : Creates quadratic or linear edge
1963 //=======================================================================
1965 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1966 const SMDS_MeshNode* n2,
1970 SMESHDS_Mesh * meshDS = GetMeshDS();
1972 SMDS_MeshEdge* edge = 0;
1973 if (myCreateQuadratic) {
1974 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1976 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1978 edge = meshDS->AddEdge(n1, n2, n12);
1982 edge = meshDS->AddEdgeWithID(n1, n2, id);
1984 edge = meshDS->AddEdge(n1, n2);
1987 if ( mySetElemOnShape && myShapeID > 0 )
1988 meshDS->SetMeshElementOnShape( edge, myShapeID );
1993 //=======================================================================
1994 //function : AddFace
1995 //purpose : Creates quadratic or linear triangle
1996 //=======================================================================
1998 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1999 const SMDS_MeshNode* n2,
2000 const SMDS_MeshNode* n3,
2004 SMESHDS_Mesh * meshDS = GetMeshDS();
2005 SMDS_MeshFace* elem = 0;
2007 if( n1==n2 || n2==n3 || n3==n1 )
2010 if(!myCreateQuadratic) {
2012 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
2014 elem = meshDS->AddFace(n1, n2, n3);
2017 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2018 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2019 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
2020 if(myCreateBiQuadratic)
2022 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
2024 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
2026 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
2031 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
2033 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
2036 if ( mySetElemOnShape && myShapeID > 0 )
2037 meshDS->SetMeshElementOnShape( elem, myShapeID );
2042 //=======================================================================
2043 //function : AddFace
2044 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
2045 //=======================================================================
2047 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2048 const SMDS_MeshNode* n2,
2049 const SMDS_MeshNode* n3,
2050 const SMDS_MeshNode* n4,
2054 SMESHDS_Mesh * meshDS = GetMeshDS();
2055 SMDS_MeshFace* elem = 0;
2058 return AddFace(n1,n3,n4,id,force3d);
2061 return AddFace(n1,n2,n4,id,force3d);
2064 return AddFace(n1,n2,n3,id,force3d);
2067 return AddFace(n1,n2,n4,id,force3d);
2070 return AddFace(n1,n2,n3,id,force3d);
2073 return AddFace(n1,n2,n3,id,force3d);
2076 if(!myCreateQuadratic) {
2078 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2080 elem = meshDS->AddFace(n1, n2, n3, n4);
2083 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2084 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2085 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2086 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2087 if(myCreateBiQuadratic)
2089 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2091 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2093 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2098 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2100 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2103 if ( mySetElemOnShape && myShapeID > 0 )
2104 meshDS->SetMeshElementOnShape( elem, myShapeID );
2109 //=======================================================================
2110 //function : AddPolygonalFace
2111 //purpose : Creates polygon, with additional nodes in quadratic mesh
2112 //=======================================================================
2114 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2118 SMESHDS_Mesh * meshDS = GetMeshDS();
2119 SMDS_MeshFace* elem = 0;
2121 if(!myCreateQuadratic)
2124 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2126 elem = meshDS->AddPolygonalFace(nodes);
2130 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2132 for ( size_t i = 0; i < nodes.size(); ++i )
2134 const SMDS_MeshNode* n1 = nodes[i];
2135 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2136 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2137 newNodes.push_back( n12 );
2140 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2142 elem = meshDS->AddQuadPolygonalFace(newNodes);
2144 if ( mySetElemOnShape && myShapeID > 0 )
2145 meshDS->SetMeshElementOnShape( elem, myShapeID );
2150 //=======================================================================
2151 //function : AddVolume
2152 //purpose : Creates quadratic or linear prism
2153 //=======================================================================
2155 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2156 const SMDS_MeshNode* n2,
2157 const SMDS_MeshNode* n3,
2158 const SMDS_MeshNode* n4,
2159 const SMDS_MeshNode* n5,
2160 const SMDS_MeshNode* n6,
2164 SMESHDS_Mesh * meshDS = GetMeshDS();
2165 SMDS_MeshVolume* elem = 0;
2166 if(!myCreateQuadratic) {
2168 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2170 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2173 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2174 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2175 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2177 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2178 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2179 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2181 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2182 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2183 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2184 if ( myCreateBiQuadratic )
2186 const SMDS_MeshNode* n1245 = GetCentralNode( n1,n2,n4,n5,n12,n25,n45,n14,force3d );
2187 const SMDS_MeshNode* n1346 = GetCentralNode( n1,n3,n4,n6,n31,n36,n64,n14,force3d );
2188 const SMDS_MeshNode* n2356 = GetCentralNode( n2,n3,n6,n5,n23,n36,n56,n25,force3d );
2191 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2192 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2193 n1245, n2356, n1346, id);
2195 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2196 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2197 n1245, n2356, n1346);
2202 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2203 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2205 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2206 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2209 if ( mySetElemOnShape && myShapeID > 0 )
2210 meshDS->SetMeshElementOnShape( elem, myShapeID );
2215 //=======================================================================
2216 //function : AddVolume
2217 //purpose : Creates quadratic or linear tetrahedron
2218 //=======================================================================
2220 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2221 const SMDS_MeshNode* n2,
2222 const SMDS_MeshNode* n3,
2223 const SMDS_MeshNode* n4,
2227 SMESHDS_Mesh * meshDS = GetMeshDS();
2228 SMDS_MeshVolume* elem = 0;
2229 if(!myCreateQuadratic) {
2231 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2233 elem = meshDS->AddVolume(n1, n2, n3, n4);
2236 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2237 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2238 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2240 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2241 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2242 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2245 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2247 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2249 if ( mySetElemOnShape && myShapeID > 0 )
2250 meshDS->SetMeshElementOnShape( elem, myShapeID );
2255 //=======================================================================
2256 //function : AddVolume
2257 //purpose : Creates quadratic or linear pyramid
2258 //=======================================================================
2260 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2261 const SMDS_MeshNode* n2,
2262 const SMDS_MeshNode* n3,
2263 const SMDS_MeshNode* n4,
2264 const SMDS_MeshNode* n5,
2268 SMDS_MeshVolume* elem = 0;
2269 if(!myCreateQuadratic) {
2271 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2273 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2276 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2277 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2278 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2279 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2281 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2282 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2283 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2284 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2287 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2292 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2294 n15, n25, n35, n45);
2296 if ( mySetElemOnShape && myShapeID > 0 )
2297 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2302 //=======================================================================
2303 //function : AddVolume
2304 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2305 //=======================================================================
2307 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2308 const SMDS_MeshNode* n2,
2309 const SMDS_MeshNode* n3,
2310 const SMDS_MeshNode* n4,
2311 const SMDS_MeshNode* n5,
2312 const SMDS_MeshNode* n6,
2313 const SMDS_MeshNode* n7,
2314 const SMDS_MeshNode* n8,
2318 SMESHDS_Mesh * meshDS = GetMeshDS();
2319 SMDS_MeshVolume* elem = 0;
2320 if(!myCreateQuadratic) {
2322 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2324 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2327 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2328 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2329 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2330 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2332 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2333 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2334 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2335 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2337 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2338 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2339 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2340 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2341 if ( myCreateBiQuadratic )
2343 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2344 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2345 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2346 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2347 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2348 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2350 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2352 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2353 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2354 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2355 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2356 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2357 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2358 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2359 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2361 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2362 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2363 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2364 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2365 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2366 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2367 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2368 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2369 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2370 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2371 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2372 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2374 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2375 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2376 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2377 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2378 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2379 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2381 gp_XYZ centerCube(0.5, 0.5, 0.5);
2383 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2384 const SMDS_MeshNode* nCenter =
2385 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2386 meshDS->SetNodeInVolume( nCenter, myShapeID );
2389 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2390 n12, n23, n34, n41, n56, n67,
2391 n78, n85, n15, n26, n37, n48,
2392 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2394 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2395 n12, n23, n34, n41, n56, n67,
2396 n78, n85, n15, n26, n37, n48,
2397 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2402 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2403 n12, n23, n34, n41, n56, n67,
2404 n78, n85, n15, n26, n37, n48, id);
2406 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2407 n12, n23, n34, n41, n56, n67,
2408 n78, n85, n15, n26, n37, n48);
2411 if ( mySetElemOnShape && myShapeID > 0 )
2412 meshDS->SetMeshElementOnShape( elem, myShapeID );
2417 //=======================================================================
2418 //function : AddVolume
2419 //purpose : Creates LINEAR!!!!!!!!! octahedron
2420 //=======================================================================
2422 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2423 const SMDS_MeshNode* n2,
2424 const SMDS_MeshNode* n3,
2425 const SMDS_MeshNode* n4,
2426 const SMDS_MeshNode* n5,
2427 const SMDS_MeshNode* n6,
2428 const SMDS_MeshNode* n7,
2429 const SMDS_MeshNode* n8,
2430 const SMDS_MeshNode* n9,
2431 const SMDS_MeshNode* n10,
2432 const SMDS_MeshNode* n11,
2433 const SMDS_MeshNode* n12,
2437 SMESHDS_Mesh * meshDS = GetMeshDS();
2438 SMDS_MeshVolume* elem = 0;
2440 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2442 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2443 if ( mySetElemOnShape && myShapeID > 0 )
2444 meshDS->SetMeshElementOnShape( elem, myShapeID );
2448 //=======================================================================
2449 //function : AddPolyhedralVolume
2450 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2451 //=======================================================================
2454 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2455 const std::vector<int>& quantities,
2459 SMESHDS_Mesh * meshDS = GetMeshDS();
2460 SMDS_MeshVolume* elem = 0;
2461 if(!myCreateQuadratic)
2464 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2466 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2470 vector<const SMDS_MeshNode*> newNodes;
2471 vector<int> newQuantities;
2472 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2474 int nbNodesInFace = quantities[iFace];
2475 newQuantities.push_back(0);
2476 for ( int i = 0; i < nbNodesInFace; ++i )
2478 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2479 newNodes.push_back( n1 );
2480 newQuantities.back()++;
2482 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2483 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2484 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2486 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2487 newNodes.push_back( n12 );
2488 newQuantities.back()++;
2491 iN += nbNodesInFace;
2494 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2496 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2498 if ( mySetElemOnShape && myShapeID > 0 )
2499 meshDS->SetMeshElementOnShape( elem, myShapeID );
2506 //================================================================================
2508 * \brief Check if a node belongs to any face of sub-mesh
2510 //================================================================================
2512 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2514 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2515 while ( fIt->more() )
2516 if ( sm->Contains( fIt->next() ))
2522 //=======================================================================
2523 //function : IsSameElemGeometry
2524 //purpose : Returns true if all elements of a sub-mesh are of same shape
2525 //=======================================================================
2527 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2528 SMDSAbs_GeometryType shape,
2529 const bool nullSubMeshRes)
2531 if ( !smDS ) return nullSubMeshRes;
2533 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2534 while ( elemIt->more() ) {
2535 const SMDS_MeshElement* e = elemIt->next();
2536 if ( e->GetGeomType() != shape )
2542 //=======================================================================
2543 //function : LoadNodeColumns
2544 //purpose : Load nodes bound to face into a map of node columns
2545 //=======================================================================
2547 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2548 const TopoDS_Face& theFace,
2549 const TopoDS_Edge& theBaseEdge,
2550 SMESHDS_Mesh* theMesh,
2551 SMESH_ProxyMesh* theProxyMesh)
2553 return LoadNodeColumns(theParam2ColumnMap,
2555 std::list<TopoDS_Edge>(1,theBaseEdge),
2560 //=======================================================================
2561 //function : LoadNodeColumns
2562 //purpose : Load nodes bound to face into a map of node columns
2563 //=======================================================================
2565 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2566 const TopoDS_Face& theFace,
2567 const std::list<TopoDS_Edge>& theBaseSide,
2568 SMESHDS_Mesh* theMesh,
2569 SMESH_ProxyMesh* theProxyMesh)
2571 // get a right sub-mesh of theFace
2573 const SMESHDS_SubMesh* faceSubMesh = 0;
2576 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2577 if ( !faceSubMesh ||
2578 faceSubMesh->NbElements() == 0 ||
2579 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2581 // can use a proxy sub-mesh with not temporary elements only
2587 faceSubMesh = theMesh->MeshElements( theFace );
2588 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2591 if ( theParam2ColumnMap.empty() )
2593 // get data of edges for normalization of params
2594 vector< double > length;
2596 list<TopoDS_Edge>::const_iterator edge;
2598 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2600 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2602 length.push_back( len );
2606 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2607 const SMDS_MeshNode* prevEndNodes[2] = { 0, 0 };
2608 edge = theBaseSide.begin();
2609 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2611 map< double, const SMDS_MeshNode*> sortedBaseNN;
2612 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2614 map< double, const SMDS_MeshNode*>::iterator u_n;
2615 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2616 // so the following solution is commented (hope forever :)
2618 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2619 // // SMDSAbs_Edge here is needed to be coherent with
2620 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2621 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2622 // // medium node on EDGE is medium in a triangle but not
2625 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2626 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2627 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2629 // const SMDS_MeshNode* node = u_n->second;
2630 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2631 // if ( faceIt->more() && node ) {
2632 // const SMDS_MeshElement* face = faceIt->next();
2633 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2637 // sortedBaseNN.erase( u_n++ );
2641 if ( sortedBaseNN.empty() ) continue;
2643 u_n = sortedBaseNN.begin();
2644 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2646 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2647 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2648 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2649 n2 != theProxyMesh->GetProxyNode( n2 ));
2650 if ( allNodesAreProxy )
2651 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2652 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2654 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2656 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2657 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2659 if ( !sortedBaseNN.empty() )
2660 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2662 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2663 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2665 if ( sortedBaseNN.empty() ) continue;
2669 BRep_Tool::Range( *edge, f, l );
2670 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2671 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2672 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2673 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2675 if ( u_n->second == prevEndNodes[0] ||
2676 u_n->second == prevEndNodes[1] )
2678 double par = prevPar + coeff * ( u_n->first - f );
2679 TParam2ColumnMap::iterator u2nn =
2680 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2681 u2nn->second.push_back( u_n->second );
2683 prevEndNodes[0] = sortedBaseNN.begin()->second;
2684 prevEndNodes[1] = sortedBaseNN.rbegin()->second;
2686 if ( theParam2ColumnMap.size() < 2 )
2691 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2692 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2694 // fill theParam2ColumnMap column by column by passing from nodes on
2695 // theBaseEdge up via mesh faces on theFace
2697 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2698 par_nVec_2 = theParam2ColumnMap.begin();
2699 par_nVec_1 = par_nVec_2++;
2700 TIDSortedElemSet emptySet, avoidSet;
2701 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2703 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2704 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2705 nCol1.resize( prevNbRows + expectNbRows );
2706 nCol2.resize( prevNbRows + expectNbRows );
2708 int i1, i2; size_t foundNbRows = 0;
2709 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2710 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2711 // find face sharing node n1 and n2 and belonging to faceSubMesh
2712 while ( const SMDS_MeshElement* face =
2713 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2715 if ( faceSubMesh->Contains( face ))
2717 int nbNodes = face->NbCornerNodes();
2720 if ( foundNbRows + 1 > expectNbRows )
2722 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2723 n2 = face->GetNode( (i1+2) % 4 );
2724 nCol1[ prevNbRows + foundNbRows] = n1;
2725 nCol2[ prevNbRows + foundNbRows] = n2;
2728 avoidSet.insert( face );
2730 if ((size_t) foundNbRows != expectNbRows )
2734 return ( theParam2ColumnMap.size() > 1 &&
2735 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2738 //================================================================================
2740 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2742 //================================================================================
2744 bool SMESH_MesherHelper::IsCornerOfStructure( const SMDS_MeshNode* n,
2745 const SMESHDS_SubMesh* faceSM,
2746 SMESH_MesherHelper& faceAnalyser )
2748 int nbFacesInSM = 0;
2750 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2751 while ( fIt->more() )
2752 nbFacesInSM += faceSM->Contains( fIt->next() );
2754 if ( nbFacesInSM == 1 )
2757 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2759 return faceAnalyser.IsRealSeam( n->getshapeId() );
2764 //=======================================================================
2765 //function : IsStructured
2766 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2767 //=======================================================================
2769 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2771 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2772 if ( !fSM || fSM->NbElements() == 0 )
2775 list< TopoDS_Edge > edges;
2776 list< int > nbEdgesInWires;
2777 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2778 edges, nbEdgesInWires );
2779 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2782 // algo: find corners of a structure and then analyze nb of faces and
2783 // length of structure sides
2785 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2786 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2787 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2789 // rotate edges to get the first node being at corner
2790 // (in principle it's not necessary because so far none SALOME algo can make
2791 // such a structured mesh that all corner nodes are not on VERTEXes)
2792 bool isCorner = false;
2793 int nbRemainEdges = nbEdgesInWires.front();
2795 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2796 isCorner = IsCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2799 edges.splice( edges.end(), edges, edges.begin() );
2803 while ( !isCorner && nbRemainEdges > 0 );
2808 // get all nodes from EDGEs
2809 list< const SMDS_MeshNode* > nodes;
2810 list< TopoDS_Edge >::iterator edge = edges.begin();
2811 for ( ; edge != edges.end(); ++edge )
2813 map< double, const SMDS_MeshNode* > u2Nodes;
2814 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2815 /*skipMedium=*/true, u2Nodes ))
2818 list< const SMDS_MeshNode* > edgeNodes;
2819 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2820 for ( ; u2n != u2Nodes.end(); ++u2n )
2821 edgeNodes.push_back( u2n->second );
2822 if ( edge->Orientation() == TopAbs_REVERSED )
2823 edgeNodes.reverse();
2825 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2826 edgeNodes.pop_front();
2827 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2830 // get length of structured sides
2831 vector<int> nbEdgesInSide;
2833 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2834 for ( ; n != nodes.end(); ++n )
2837 if ( IsCornerOfStructure( *n, fSM, faceAnalyser )) {
2838 nbEdgesInSide.push_back( nbEdges );
2844 if ( nbEdgesInSide.size() != 4 )
2846 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2848 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2850 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2856 //=======================================================================
2857 //function : IsDistorted2D
2858 //purpose : Return true if 2D mesh on FACE is ditorted
2859 //=======================================================================
2861 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2863 SMESH_MesherHelper* faceHelper)
2865 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2868 bool haveBadFaces = false;
2870 SMESH_MesherHelper helper( *faceSM->GetFather() );
2872 helper.CopySubShapeInfo( *faceHelper );
2873 helper.SetSubShape( faceSM->GetSubShape() );
2875 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2876 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2877 if ( !smDS || smDS->NbElements() == 0 ) return false;
2879 bool subIdsValid = true; // shape ID of nodes is OK
2880 if ( helper.HasSeam() )
2882 // check if nodes are bound to seam edges
2883 SMESH_subMeshIteratorPtr smIt = faceSM->getDependsOnIterator(/*includeSelf=*/false);
2884 while ( smIt->more() && subIdsValid )
2886 SMESH_subMesh* sm = smIt->next();
2887 if ( helper.IsSeamShape( sm->GetId() ) && sm->IsEmpty() )
2888 subIdsValid = false;
2891 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2892 double prevArea = 0;
2893 vector< const SMDS_MeshNode* > nodes;
2895 bool* toCheckUV = checkUV ? & checkUV : 0;
2896 while ( faceIt->more() && !haveBadFaces )
2898 const SMDS_MeshElement* face = faceIt->next();
2901 nodes.resize( face->NbCornerNodes() );
2902 SMDS_MeshElement::iterator n = face->begin_nodes();
2903 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2906 // avoid elems on degenerate shapes as UV on them can be wrong
2907 if ( helper.HasDegeneratedEdges() )
2909 bool isOnDegen = false;
2910 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2911 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2915 // prepare for getting UVs
2916 const SMDS_MeshNode* inFaceNode = 0;
2917 if ( helper.HasSeam() ) {
2918 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2919 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2921 inFaceNode = nodes[ i ];
2924 gp_XY uv = helper.GetNodeUV( F, inFaceNode );
2925 if ( helper.IsOnSeam( uv ))
2933 uv.resize( nodes.size() );
2934 for ( size_t i = 0; i < nodes.size(); ++i )
2935 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2937 if ( !subIdsValid ) // fix uv on seam
2939 gp_XY uvInFace = helper.GetNodeUV( F, inFaceNode );
2940 for ( size_t i = 0; i < uv.size(); ++i )
2941 if ( helper.IsOnSeam( uv[i] ))
2942 uv[i] = helper.getUVOnSeam( uv[i], uvInFace ).XY();
2945 // compare orientation of triangles
2946 double faceArea = 0;
2947 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2949 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2950 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2951 faceArea += v2 ^ v1;
2953 haveBadFaces = ( faceArea * prevArea < 0 );
2954 prevArea = faceArea;
2957 return haveBadFaces;
2960 //================================================================================
2962 * \brief Find out elements orientation on a geometrical face
2963 * \param theFace - The face correctly oriented in the shape being meshed
2964 * \retval bool - true if the face normal and the normal of first element
2965 * in the corresponding submesh point in different directions
2967 //================================================================================
2969 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2971 if ( theFace.IsNull() )
2974 // find out orientation of a meshed face
2975 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2976 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2977 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2979 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2980 if ( !aSubMeshDSFace )
2983 // find an element on a boundary of theFace
2984 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2985 const SMDS_MeshNode* nn[2];
2986 while ( iteratorElem->more() ) // loop on elements on theFace
2988 const SMDS_MeshElement* elem = iteratorElem->next();
2989 if ( ! elem ) continue;
2991 // look for 2 nodes on EDGE
2992 int nbNodes = elem->NbCornerNodes();
2993 nn[0] = elem->GetNode( nbNodes-1 );
2994 for ( int iN = 0; iN < nbNodes; ++iN )
2996 nn[1] = elem->GetNode( iN );
2997 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2998 nn[1]->GetPosition()->GetDim() < 2 )
3000 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
3001 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
3002 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
3003 if ( !E.IsNull() && !s0.IsSame( s1 ) && E.Orientation() != TopAbs_INTERNAL )
3007 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
3008 if ( E.IsSame( exp.Current() )) {
3010 E = exp.Current(); // to know orientation
3015 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
3016 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
3019 // check that the 2 nodes are connected with a segment (IPAL53055)
3021 const SMDS_MeshElement* seg;
3022 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
3023 if (( sm->NbElements() > 0 ) &&
3024 ( seg = GetMeshDS()->FindEdge( nn[0], nn[1] )))
3025 ok = sm->Contains( seg );
3029 isReversed = ( u0 > u1 );
3030 if ( E.Orientation() == TopAbs_REVERSED )
3031 isReversed = !isReversed;
3041 // find an element with a good normal
3043 bool normalOK = false;
3045 iteratorElem = aSubMeshDSFace->GetElements();
3046 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
3048 const SMDS_MeshElement* elem = iteratorElem->next();
3049 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
3053 // get UV of a node inside theFACE
3054 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
3055 const SMDS_MeshNode* nInFace = 0;
3056 int iPosDim = SMDS_TOP_VERTEX;
3057 while ( nodesIt->more() ) // loop on nodes
3059 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
3060 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
3063 iPosDim = n->GetPosition()->GetTypeOfPosition();
3066 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
3071 // face normal at node position
3072 TopLoc_Location loc;
3073 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
3074 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
3075 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
3076 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
3079 gp_Vec d1u, d1v; gp_Pnt p;
3080 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
3081 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
3083 if ( theFace.Orientation() == TopAbs_REVERSED )
3086 return Ne * Nf < 0.;
3089 //=======================================================================
3091 //purpose : Count nb of sub-shapes
3092 //=======================================================================
3094 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
3095 const TopAbs_ShapeEnum type,
3096 const bool ignoreSame)
3099 TopTools_IndexedMapOfShape map;
3100 TopExp::MapShapes( shape, type, map );
3101 return map.Extent();
3105 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
3111 //=======================================================================
3112 //function : NbAncestors
3113 //purpose : Return number of unique ancestors of the shape
3114 //=======================================================================
3116 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3117 const SMESH_Mesh& mesh,
3118 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3120 TopTools_MapOfShape ancestors;
3121 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3122 for ( ; ansIt.More(); ansIt.Next() ) {
3123 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3124 ancestors.Add( ansIt.Value() );
3126 return ancestors.Extent();
3129 //=======================================================================
3130 //function : GetSubShapeOri
3131 //purpose : Return orientation of sub-shape in the main shape
3132 //=======================================================================
3134 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3135 const TopoDS_Shape& subShape)
3137 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3138 if ( !shape.IsNull() && !subShape.IsNull() )
3140 TopExp_Explorer e( shape, subShape.ShapeType() );
3141 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3142 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3143 for ( ; e.More(); e.Next())
3144 if ( subShape.IsSame( e.Current() ))
3147 ori = e.Current().Orientation();
3152 //=======================================================================
3153 //function : IsSubShape
3155 //=======================================================================
3157 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3158 const TopoDS_Shape& mainShape )
3160 if ( !shape.IsNull() && !mainShape.IsNull() )
3162 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3165 if ( shape.IsSame( exp.Current() ))
3171 //=======================================================================
3172 //function : IsSubShape
3174 //=======================================================================
3176 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3178 if ( shape.IsNull() || !aMesh )
3181 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3183 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3186 //=======================================================================
3187 //function : IsBlock
3189 //=======================================================================
3191 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3193 if ( shape.IsNull() )
3197 TopExp_Explorer exp( shape, TopAbs_SHELL );
3198 if ( !exp.More() ) return false;
3199 shell = TopoDS::Shell( exp.Current() );
3200 if ( exp.Next(), exp.More() ) return false;
3203 TopTools_IndexedMapOfOrientedShape map;
3204 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3208 //================================================================================
3210 * \brief Return maximal tolerance of shape
3212 //================================================================================
3214 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3216 double tol = Precision::Confusion();
3217 TopExp_Explorer exp;
3218 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3219 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3220 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3221 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3222 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3223 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3228 //================================================================================
3230 * \brief Return MaxTolerance( face ), probably cached
3232 //================================================================================
3234 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3236 int faceID = GetMeshDS()->ShapeToIndex( face );
3238 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3239 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3241 tol = MaxTolerance( face );
3246 //================================================================================
3248 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3249 * of the FACE normal
3250 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3251 * 1e100 in case of failure
3252 * \warning Care about order of the EDGEs and their orientation to be as they are
3253 * within the FACE! Don't pass degenerated EDGEs neither!
3255 //================================================================================
3257 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3258 const TopoDS_Edge & theE2,
3259 const TopoDS_Face & theFace,
3260 const TopoDS_Vertex & theCommonV,
3261 gp_Vec* theFaceNormal)
3263 double angle = 1e100;
3267 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3268 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3269 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3270 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3271 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3272 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3273 if ( c1.IsNull() || c2.IsNull() )
3275 gp_XY uv = c2d1->Value( p1 ).XY();
3276 gp_Vec du, dv; gp_Pnt p;
3277 surf->D1( uv.X(), uv.Y(), p, du, dv );
3278 gp_Vec vec1, vec2, vecRef = du ^ dv;
3281 while ( vecRef.SquareMagnitude() < 1e-25 )
3283 double dp = ( l - f ) / 1000.;
3284 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3285 uv = c2d1->Value( p1tmp ).XY();
3286 surf->D1( uv.X(), uv.Y(), p, du, dv );
3288 if ( ++nbLoops > 10 )
3291 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3296 if ( theFace.Orientation() == TopAbs_REVERSED )
3298 if ( theFaceNormal ) *theFaceNormal = vecRef;
3300 c1->D1( p1, p, vec1 );
3301 c2->D1( p2, p, vec2 );
3302 // TopoDS_Face F = theFace;
3303 // if ( F.Orientation() == TopAbs_INTERNAL )
3304 // F.Orientation( TopAbs_FORWARD );
3305 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3307 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3309 angle = vec1.AngleWithRef( vec2, vecRef );
3311 if ( Abs ( angle ) >= 0.99 * M_PI )
3313 BRep_Tool::Range( theE1, f, l );
3314 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3315 c1->D1( p1, p, vec1 );
3316 if ( theE1.Orientation() == TopAbs_REVERSED )
3318 BRep_Tool::Range( theE2, f, l );
3319 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3320 c2->D1( p2, p, vec2 );
3321 if ( theE2.Orientation() == TopAbs_REVERSED )
3323 angle = vec1.AngleWithRef( vec2, vecRef );
3332 //================================================================================
3334 * \brief Check if the first and last vertices of an edge are the same
3335 * \param anEdge - the edge to check
3336 * \retval bool - true if same
3338 //================================================================================
3340 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3342 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3343 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3344 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3347 //================================================================================
3349 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3350 * in the case of INTERNAL edge
3352 //================================================================================
3354 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3358 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3359 anEdge.Orientation( TopAbs_FORWARD );
3361 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3362 TopoDS_Iterator vIt( anEdge, CumOri );
3363 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3366 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3369 //================================================================================
3371 * \brief Return type of shape contained in a group
3372 * \param group - a shape of type TopAbs_COMPOUND
3373 * \param avoidCompound - not to return TopAbs_COMPOUND
3375 //================================================================================
3377 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3378 const bool avoidCompound)
3380 if ( !group.IsNull() )
3382 if ( group.ShapeType() != TopAbs_COMPOUND )
3383 return group.ShapeType();
3385 // iterate on a compound
3386 TopoDS_Iterator it( group );
3388 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3390 return TopAbs_SHAPE;
3393 //================================================================================
3395 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3396 * \param [in] hyp - the hypothesis
3397 * \param [in] shape - the shape, for meshing which the \a hyp is used
3398 * \param [in] mesh - the mesh
3399 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3401 //================================================================================
3403 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3404 const TopoDS_Shape& shape,
3407 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3408 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3410 TopoDS_Shape shapeOfHyp;
3411 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3415 //=======================================================================
3416 //function : IsQuadraticMesh
3417 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3418 // quadratic elements will be created.
3419 // Used then generated 3D mesh without geometry.
3420 //=======================================================================
3422 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3424 smIdType NbAllEdgsAndFaces=0;
3425 smIdType NbQuadFacesAndEdgs=0;
3426 smIdType NbFacesAndEdges=0;
3427 //All faces and edges
3428 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3429 if ( NbAllEdgsAndFaces == 0 )
3430 return SMESH_MesherHelper::LINEAR;
3432 //Quadratic faces and edges
3433 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3435 //Linear faces and edges
3436 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3438 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3440 return SMESH_MesherHelper::QUADRATIC;
3442 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3444 return SMESH_MesherHelper::LINEAR;
3447 //Mesh with both type of elements
3448 return SMESH_MesherHelper::COMP;
3451 //=======================================================================
3452 //function : GetOtherParam
3453 //purpose : Return an alternative parameter for a node on seam
3454 //=======================================================================
3456 double SMESH_MesherHelper::GetOtherParam(const double param) const
3458 int i = myParIndex & U_periodic ? 0 : 1;
3459 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3462 //=======================================================================
3463 //function : NbRealSeam
3464 //purpose : Return a number of real seam edges in the shape set through
3465 // IsQuadraticSubMesh() or SetSubShape(). A real seam edge encounters twice in a wire
3466 //=======================================================================
3468 size_t SMESH_MesherHelper::NbRealSeam() const
3472 std::set< int >::const_iterator id = mySeamShapeIds.begin();
3473 for ( ; id != mySeamShapeIds.end(); ++id )
3474 if ( *id < 0 ) ++nb;
3480 //=======================================================================
3481 //function : IsOnSeam
3482 //purpose : Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
3483 //=======================================================================
3485 int SMESH_MesherHelper::IsOnSeam(const gp_XY& uv) const
3487 for ( int i = U_periodic; i <= V_periodic ; ++i )
3488 if ( myParIndex & i )
3490 double p = uv.Coord( i );
3491 double tol = ( myPar2[i-1] - myPar1[i-1] ) / 100.;
3492 if ( Abs( p - myPar1[i-1] ) < tol ||
3493 Abs( p - myPar2[i-1] ) < tol )
3501 //=======================================================================
3503 * \brief Iterator on ancestors of the given type
3505 //=======================================================================
3507 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3509 TopTools_ListIteratorOfListOfShape _ancIter;
3510 TopAbs_ShapeEnum _type;
3511 TopTools_MapOfShape _encountered;
3512 TopTools_IndexedMapOfShape _allowed;
3513 TAncestorsIterator( const TopTools_ListOfShape& ancestors,
3514 TopAbs_ShapeEnum type,
3515 const TopoDS_Shape* container/* = 0*/)
3516 : _ancIter( ancestors ), _type( type )
3518 if ( container && !container->IsNull() )
3519 TopExp::MapShapes( *container, type, _allowed);
3520 if ( _ancIter.More() ) {
3521 if ( !isCurrentAllowed() ) next();
3522 else _encountered.Add( _ancIter.Value() );
3527 return _ancIter.More();
3529 virtual const TopoDS_Shape* next()
3531 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3532 if ( _ancIter.More() )
3533 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3534 if ( isCurrentAllowed() && _encountered.Add( _ancIter.Value() ))
3538 bool isCurrentAllowed()
3540 return (( _ancIter.Value().ShapeType() == _type ) &&
3541 ( _allowed.IsEmpty() || _allowed.Contains( _ancIter.Value() )));
3547 //=======================================================================
3549 * \brief Return iterator on ancestors of the given type, included into a container shape
3551 //=======================================================================
3553 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3554 const SMESH_Mesh& mesh,
3555 TopAbs_ShapeEnum ancestorType,
3556 const TopoDS_Shape* container)
3558 return PShapeIteratorPtr
3559 ( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType, container));
3562 //=======================================================================
3563 //function : GetCommonAncestor
3564 //purpose : Find a common ancestors of two shapes of the given type
3565 //=======================================================================
3567 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3568 const TopoDS_Shape& shape2,
3569 const SMESH_Mesh& mesh,
3570 TopAbs_ShapeEnum ancestorType)
3572 TopoDS_Shape commonAnc;
3573 if ( !shape1.IsNull() && !shape2.IsNull() )
3575 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3577 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3580 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3581 while ( const TopoDS_Shape* anc = ancIt->next() )
3582 if ( IsSubShape( shape2, *anc ))
3591 //#include <Perf_Meter.hxx>
3593 //=======================================================================
3594 namespace { // Structures used by FixQuadraticElements()
3595 //=======================================================================
3597 #define __DMP__(txt) \
3599 #define MSG(txt) __DMP__(txt<<endl)
3600 #define MSGBEG(txt) __DMP__(txt)
3602 //const double straightTol2 = 1e-33; // to detect straing links
3603 bool isStraightLink(double linkLen2, double middleNodeMove2)
3605 // straight if <node move> < 1/15 * <link length>
3606 return middleNodeMove2 < 1/15./15. * linkLen2;
3610 // ---------------------------------------
3612 * \brief Quadratic link knowing its faces
3614 struct QLink: public SMESH_TLink
3616 const SMDS_MeshNode* _mediumNode;
3617 mutable vector<const QFace* > _faces;
3618 mutable gp_Vec _nodeMove;
3619 mutable int _nbMoves;
3620 mutable bool _is2dFixed; // is moved along surface or in 3D
3622 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3623 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3625 _nodeMove = MediumPnt() - MiddlePnt();
3626 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3628 void SetContinuesFaces() const;
3629 const QFace* GetContinuesFace( const QFace* face ) const;
3630 bool OnBoundary() const;
3631 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3632 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3634 SMDS_TypeOfPosition MediumPos() const
3635 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3636 SMDS_TypeOfPosition EndPos(bool isSecond) const
3637 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3638 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3639 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3641 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3642 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3643 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3644 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3645 bool IsFixedOnSurface() const { return _is2dFixed; }
3646 bool IsStraight() const
3647 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3648 _nodeMove.SquareMagnitude());
3650 bool operator<(const QLink& other) const {
3651 return (node1()->GetID() == other.node1()->GetID() ?
3652 node2()->GetID() < other.node2()->GetID() :
3653 node1()->GetID() < other.node1()->GetID());
3655 // struct PtrComparator {
3656 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3659 // ---------------------------------------------------------
3661 * \brief Link in the chain of links; it connects two faces
3665 const QLink* _qlink;
3666 mutable const QFace* _qfaces[2];
3668 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3669 _qfaces[0] = _qfaces[1] = 0;
3671 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3673 bool IsBoundary() const { return !_qfaces[1]; }
3675 void RemoveFace( const QFace* face ) const
3676 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3678 const QFace* NextFace( const QFace* f ) const
3679 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3681 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3682 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3684 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3686 operator bool() const { return (_qlink); }
3688 const QLink* operator->() const { return _qlink; }
3690 gp_Vec Normal() const;
3692 bool IsStraight() const;
3694 // --------------------------------------------------------------------
3695 typedef list< TChainLink > TChain;
3696 typedef set < TChainLink > TLinkSet;
3697 typedef TLinkSet::const_iterator TLinkInSet;
3699 const int theFirstStep = 5;
3701 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3702 // --------------------------------------------------------------------
3704 * \brief Quadratic face shared by two volumes and bound by QLinks
3706 struct QFace: public TIDSortedNodeSet
3708 mutable const SMDS_MeshElement* _volumes[2];
3709 mutable vector< const QLink* > _sides;
3710 mutable bool _sideIsAdded[4]; // added in chain of links
3713 mutable const SMDS_MeshElement* _face;
3716 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3718 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3720 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3722 void AddSelfToLinks() const {
3723 for ( size_t i = 0; i < _sides.size(); ++i )
3724 _sides[i]->_faces.push_back( this );
3726 int LinkIndex( const QLink* side ) const {
3727 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3730 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3732 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3734 int i = LinkIndex( link._qlink );
3735 if ( i < 0 ) return true;
3736 _sideIsAdded[i] = true;
3737 link.SetFace( this );
3738 // continue from opposite link
3739 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3741 bool IsBoundary() const { return !_volumes[1]; }
3743 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3745 bool IsSpoiled(const QLink* bentLink ) const;
3747 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3748 const TChainLink& avoidLink,
3749 TLinkInSet * notBoundaryLink = 0,
3750 const SMDS_MeshNode* nodeToContain = 0,
3751 bool * isAdjacentUsed = 0,
3752 int nbRecursionsLeft = -1) const;
3754 TLinkInSet GetLinkByNode( const TLinkSet& links,
3755 const TChainLink& avoidLink,
3756 const SMDS_MeshNode* nodeToContain) const;
3758 const SMDS_MeshNode* GetNodeInFace() const {
3759 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3760 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3764 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3766 double MoveByBoundary( const TChainLink& theLink,
3767 const gp_Vec& theRefVec,
3768 const TLinkSet& theLinks,
3769 SMESH_MesherHelper* theFaceHelper=0,
3770 const double thePrevLen=0,
3771 const int theStep=theFirstStep,
3772 gp_Vec* theLinkNorm=0,
3773 double theSign=1.0) const;
3776 //================================================================================
3778 * \brief Dump QLink and QFace
3780 ostream& operator << (ostream& out, const QLink& l)
3782 out <<"QLink nodes: "
3783 << l.node1()->GetID() << " - "
3784 << l._mediumNode->GetID() << " - "
3785 << l.node2()->GetID() << endl;
3788 ostream& operator << (ostream& out, const QFace& f)
3790 out <<"QFace nodes: "/*<< &f << " "*/;
3791 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3792 out << (*n)->GetID() << " ";
3793 out << " \tvolumes: "
3794 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3795 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3796 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3800 //================================================================================
3802 * \brief Construct QFace from QLinks
3804 //================================================================================
3806 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3808 _volumes[0] = _volumes[1] = 0;
3810 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3811 _normal.SetCoord(0,0,0);
3812 for ( size_t i = 1; i < _sides.size(); ++i ) {
3813 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3814 insert( l1->node1() ); insert( l1->node2() );
3816 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3817 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3818 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3822 double normSqSize = _normal.SquareMagnitude();
3823 if ( normSqSize > numeric_limits<double>::min() )
3824 _normal /= sqrt( normSqSize );
3826 _normal.SetCoord(1e-33,0,0);
3831 (void)face; // unused in release mode
3834 //================================================================================
3836 * \brief Make up a chain of links
3837 * \param iSide - link to add first
3838 * \param chain - chain to fill in
3839 * \param pos - position of medium nodes the links should have
3840 * \param error - out, specifies what is wrong
3841 * \retval bool - false if valid chain can't be built; "valid" means that links
3842 * of the chain belongs to rectangles bounding hexahedrons
3844 //================================================================================
3846 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3848 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3850 if ( _sideIsAdded[ iSide ]) // already in chain
3853 if ( _sides.size() != 4 ) { // triangle - visit all my continuous faces
3856 list< const QFace* > faces( 1, this );
3857 while ( !faces.empty() ) {
3858 const QFace* face = faces.front();
3859 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3860 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3861 face->_sideIsAdded[i] = true;
3862 // find a face side in the chain
3863 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3864 // TChain::iterator chLink = chain.begin();
3865 // for ( ; chLink != chain.end(); ++chLink )
3866 // if ( chLink->_qlink == face->_sides[i] )
3868 // if ( chLink == chain.end() )
3869 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3870 // add a face to a chained link and put a continues face in the queue
3871 chLink->SetFace( face );
3872 if ( face->_sides[i]->MediumPos() == pos )
3873 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3874 if ( contFace->_sides.size() == 3 )
3875 faces.push_back( contFace );
3880 if ( error < ERR_TRI )
3882 chain.insert( chain.end(), links.begin(),links.end() );
3885 _sideIsAdded[iSide] = true; // not to add this link to chain again
3886 const QLink* link = _sides[iSide];
3890 // add link into chain
3891 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3892 chLink->SetFace( this );
3895 // propagate from a quadrangle to neighbour faces
3896 if ( link->MediumPos() >= pos ) {
3897 int nbLinkFaces = link->_faces.size();
3898 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3899 // hexahedral mesh or boundary quadrangles - goto a continuous face
3900 if ( const QFace* f = link->GetContinuesFace( this ))
3901 if ( f->_sides.size() == 4 )
3902 return f->GetLinkChain( *chLink, chain, pos, error );
3905 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3906 for ( int i = 0; i < nbLinkFaces; ++i )
3907 if ( link->_faces[i] )
3908 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3909 if ( error < ERR_PRISM )
3917 //================================================================================
3919 * \brief Return a boundary link of the triangle face
3920 * \param links - set of all links
3921 * \param avoidLink - link not to return
3922 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3923 * \param nodeToContain - node the returned link must contain; if provided, search
3924 * also performed on adjacent faces
3925 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3926 * \param nbRecursionsLeft - to limit recursion
3928 //================================================================================
3930 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3931 const TChainLink& avoidLink,
3932 TLinkInSet * notBoundaryLink,
3933 const SMDS_MeshNode* nodeToContain,
3934 bool * isAdjacentUsed,
3935 int nbRecursionsLeft) const
3937 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3939 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3940 TFaceLinkList adjacentFaces;
3942 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3944 if ( avoidLink._qlink == _sides[iL] )
3946 TLinkInSet link = links.find( _sides[iL] );
3947 if ( link == linksEnd ) continue;
3948 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3949 continue; // We work on faces here, don't go inside a solid
3952 if ( link->IsBoundary() ) {
3953 if ( !nodeToContain ||
3954 (*link)->node1() == nodeToContain ||
3955 (*link)->node2() == nodeToContain )
3957 boundaryLink = link;
3958 if ( !notBoundaryLink ) break;
3961 else if ( notBoundaryLink ) {
3962 *notBoundaryLink = link;
3963 if ( boundaryLink != linksEnd ) break;
3966 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3967 if ( const QFace* adj = link->NextFace( this ))
3968 if ( adj->Contains( nodeToContain ))
3969 adjacentFaces.push_back( make_pair( adj, link ));
3972 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3973 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3975 if ( nbRecursionsLeft < 0 )
3976 nbRecursionsLeft = nodeToContain->NbInverseElements();
3977 TFaceLinkList::iterator adj = adjacentFaces.begin();
3978 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3979 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3980 isAdjacentUsed, nbRecursionsLeft-1);
3981 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3983 return boundaryLink;
3985 //================================================================================
3987 * \brief Return a link ending at the given node but not avoidLink
3989 //================================================================================
3991 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3992 const TChainLink& avoidLink,
3993 const SMDS_MeshNode* nodeToContain) const
3995 for ( size_t i = 0; i < _sides.size(); ++i )
3996 if ( avoidLink._qlink != _sides[i] &&
3997 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3998 return links.find( _sides[i] );
4002 //================================================================================
4004 * \brief Return normal to the i-th side pointing outside the face
4006 //================================================================================
4008 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
4010 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4011 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
4012 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
4013 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
4015 if ( norm * vecOut < 0 )
4017 double mag2 = norm.SquareMagnitude();
4018 if ( mag2 > numeric_limits<double>::min() )
4019 norm /= sqrt( mag2 );
4022 //================================================================================
4024 * \brief Move medium node of theLink according to its distance from boundary
4025 * \param theLink - link to fix
4026 * \param theRefVec - movement of boundary
4027 * \param theLinks - all adjacent links of continuous triangles
4028 * \param theFaceHelper - helper is not used so far
4029 * \param thePrevLen - distance from the boundary
4030 * \param theStep - number of steps till movement propagation limit
4031 * \param theLinkNorm - out normal to theLink
4032 * \param theSign - 1 or -1 depending on movement of boundary
4033 * \retval double - distance from boundary to propagation limit or other boundary
4035 //================================================================================
4037 double QFace::MoveByBoundary( const TChainLink& theLink,
4038 const gp_Vec& theRefVec,
4039 const TLinkSet& theLinks,
4040 SMESH_MesherHelper* theFaceHelper,
4041 const double thePrevLen,
4043 gp_Vec* theLinkNorm,
4044 double theSign) const
4047 return thePrevLen; // propagation limit reached
4049 size_t iL; // index of theLink
4050 for ( iL = 0; iL < _sides.size(); ++iL )
4051 if ( theLink._qlink == _sides[ iL ])
4054 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
4055 <<" thePrevLen " << thePrevLen);
4056 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
4058 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
4059 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
4060 if ( theStep == theFirstStep )
4061 theSign = refProj < 0. ? -1. : 1.;
4062 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
4063 return thePrevLen; // to propagate movement forward only, not in side dir or backward
4065 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
4066 TLinkInSet link1 = theLinks.find( _sides[iL1] );
4067 TLinkInSet link2 = theLinks.find( _sides[iL2] );
4069 const QFace *f1 = 0, *f2 = 0; // adjacent faces
4070 bool isBndLink1 = true, isBndLink2 = true;
4071 if ( link1 != theLinks.end() && link2 != theLinks.end() )
4073 f1 = link1->NextFace( this );
4074 f2 = link2->NextFace( this );
4076 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
4077 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
4078 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
4080 if ( !isBndLink1 && !f1 )
4081 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
4082 if ( !isBndLink2 && !f2 )
4083 f2 = (*link2)->GetContinuesFace( this );
4086 else if ( _sides.size() < 4 )
4089 // propagate to adjacent faces till limit step or boundary
4090 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
4091 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
4092 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
4093 gp_Vec linkDir2(0,0,0);
4096 if ( f1 && !isBndLink1 )
4097 len1 = f1->MoveByBoundary
4098 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
4100 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
4102 MSG( " --------------- EXCEPTION");
4107 if ( f2 && !isBndLink2 )
4108 len2 = f2->MoveByBoundary
4109 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
4111 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
4113 MSG( " --------------- EXCEPTION");
4118 if ( theStep != theFirstStep )
4120 // choose chain length by direction of propagation most codirected with theRefVec
4121 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
4122 fullLen = choose1 ? len1 : len2;
4123 double r = thePrevLen / fullLen;
4125 gp_Vec move = linkNorm * refProj * ( 1 - r );
4126 theLink->Move( move, /*sum=*/true );
4128 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
4129 " by " << refProj * ( 1 - r ) << " following " <<
4130 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
4132 if ( theLinkNorm ) *theLinkNorm = linkNorm;
4137 //================================================================================
4139 * \brief Checks if the face is distorted due to bentLink
4141 //================================================================================
4143 // bool QFace::IsSpoiled(const QLink* bentLink ) const
4145 // // code is valid for convex faces only
4146 // gp_XYZ gc(0,0,0);
4147 // for ( TIDSortedNodeSet::const_iterator n = begin(); n != end(); ++n )
4148 // gc += XYZ( *n ) / double( size() );
4149 // for ( size_t i = 0; i < _sides.size(); ++i )
4151 // if ( _sides[i] == bentLink ) continue;
4152 // gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4153 // gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
4154 // if ( linkNorm * vecOut < 0 )
4155 // linkNorm.Reverse();
4156 // double mag2 = linkNorm.SquareMagnitude();
4157 // if ( mag2 > numeric_limits<double>::min() )
4158 // linkNorm /= sqrt( mag2 );
4159 // gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
4160 // gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
4161 // if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4168 //================================================================================
4170 * \brief Find pairs of continues faces
4172 //================================================================================
4174 void QLink::SetContinuesFaces() const
4176 // x0 x - QLink, [-|] - QFace, v - volume
4178 // | Between _faces of link x2 two vertical faces are continues
4179 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4180 // | to _faces[0] and _faces[1] and horizontal faces to
4181 // v2 | v3 _faces[2] and _faces[3] (or vice versa).
4184 if ( _faces.empty() )
4186 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4187 if ( _faces[0]->IsBoundary() )
4188 iBoundary[ nbBoundary++ ] = 0;
4189 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4191 // look for a face bounding none of volumes bound by _faces[0]
4192 bool sameVol = false;
4193 int nbVol = _faces[iF]->NbVolumes();
4194 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4195 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4196 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4199 if ( _faces[iF]->IsBoundary() )
4200 iBoundary[ nbBoundary++ ] = iF;
4202 // Set continues faces: arrange _faces to have
4203 // _faces[0] continues to _faces[1]
4204 // _faces[2] continues to _faces[3]
4205 if ( nbBoundary == 2 ) // bnd faces are continues
4207 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4209 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4210 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4213 else if ( iFaceCont > 0 ) // continues faces found
4215 if ( iFaceCont != 1 )
4216 std::swap( _faces[1], _faces[iFaceCont] );
4218 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4220 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4223 //================================================================================
4225 * \brief Return a face continues to the given one
4227 //================================================================================
4229 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4231 if ( _faces.size() <= 4 )
4232 for ( size_t i = 0; i < _faces.size(); ++i ) {
4233 if ( _faces[i] == face ) {
4234 int iF = i < 2 ? 1-i : 5-i;
4235 return iF < (int)_faces.size() ? _faces[iF] : 0;
4240 //================================================================================
4242 * \brief True if link is on mesh boundary
4244 //================================================================================
4246 bool QLink::OnBoundary() const
4248 for ( size_t i = 0; i < _faces.size(); ++i )
4249 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4252 //================================================================================
4254 * \brief Return normal of link of the chain
4256 //================================================================================
4258 gp_Vec TChainLink::Normal() const {
4260 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4261 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4264 //================================================================================
4266 * \brief Test link curvature taking into account size of faces
4268 //================================================================================
4270 bool TChainLink::IsStraight() const
4272 bool isStraight = _qlink->IsStraight();
4273 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4275 int i = _qfaces[0]->LinkIndex( _qlink );
4276 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4277 gp_XYZ mid1 = _qlink->MiddlePnt();
4278 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4279 double faceSize2 = (mid1-mid2).SquareModulus();
4280 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4285 //================================================================================
4287 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4289 //================================================================================
4291 void fixPrism( TChain& allLinks )
4293 // separate boundary links from internal ones
4294 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4295 QLinkSet interLinks, bndLinks1, bndLink2;
4297 bool isCurved = false;
4298 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4299 if ( (*lnk)->OnBoundary() )
4300 bndLinks1.insert( lnk->_qlink );
4302 interLinks.insert( lnk->_qlink );
4303 isCurved = isCurved || !lnk->IsStraight();
4306 return; // no need to move
4308 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4310 while ( !interLinks.empty() && !curBndLinks->empty() )
4312 // propagate movement from boundary links to connected internal links
4313 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4314 for ( ; bnd != bndEnd; ++bnd )
4316 const QLink* bndLink = *bnd;
4317 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4319 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4320 if ( !face ) continue;
4321 // find and move internal link opposite to bndLink within the face
4322 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4323 const QLink* interLink = face->_sides[ interInd ];
4324 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4325 if ( pInterLink == interLinks.end() ) continue; // not internal link
4326 interLink->Move( bndLink->_nodeMove );
4327 // treated internal links become new boundary ones
4328 interLinks.erase( pInterLink );
4329 newBndLinks->insert( interLink );
4332 curBndLinks->clear();
4333 std::swap( curBndLinks, newBndLinks );
4337 //================================================================================
4339 * \brief Fix links of continues triangles near curved boundary
4341 //================================================================================
4343 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4345 if ( allLinks.empty() ) return;
4347 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4348 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4350 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4352 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4354 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4355 const QFace* face = linkIt->_qfaces[0];
4356 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4357 face->_sides[1]->MiddlePnt() +
4358 face->_sides[2]->MiddlePnt() ) / 3.;
4359 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4360 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4361 //if ( face->IsSpoiled( linkIt->_qlink ))
4362 if ( linkBentInside )
4363 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4368 //================================================================================
4370 * \brief Detect rectangular structure of links and build chains from them
4372 //================================================================================
4374 enum TSplitTriaResult {
4375 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4376 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4378 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4379 vector< TChain> & resultChains,
4380 SMDS_TypeOfPosition pos )
4382 // put links in the set and evaluate number of result chains by number of boundary links
4384 size_t nbBndLinks = 0;
4385 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4386 linkSet.insert( *lnk );
4387 nbBndLinks += lnk->IsBoundary();
4389 resultChains.clear();
4390 resultChains.reserve( nbBndLinks / 2 );
4392 TLinkInSet linkIt, linksEnd = linkSet.end();
4394 // find a boundary link with corner node; corner node has position pos-2
4395 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4397 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4398 const SMDS_MeshNode* corner = 0;
4399 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4400 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4405 TLinkInSet startLink = linkIt;
4406 const SMDS_MeshNode* startCorner = corner;
4407 vector< TChain* > rowChains;
4410 while ( startLink != linksEnd) // loop on columns
4412 // We suppose we have a rectangular structure like shown here. We have found a
4413 // corner of the rectangle (startCorner) and a boundary link sharing
4414 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4415 // --o---o---o structure making several chains at once. One chain (columnChain)
4416 // |\ | /| starts at startLink and continues upward (we look at the structure
4417 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4418 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4419 // --o---o---o encounter.
4421 // / | \ | \ | startCorner
4426 if ( resultChains.size() == nbBndLinks / 2 )
4428 resultChains.push_back( TChain() );
4429 TChain& columnChain = resultChains.back();
4431 TLinkInSet botLink = startLink; // current horizontal link to go up from
4432 corner = startCorner; // current corner the botLink ends at
4434 while ( botLink != linksEnd ) // loop on rows
4436 // add botLink to the columnChain
4437 columnChain.push_back( *botLink );
4439 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4441 { // the column ends
4442 if ( botLink == startLink )
4443 return _TWISTED_CHAIN; // issue 0020951
4444 linkSet.erase( botLink );
4445 if ( iRow != rowChains.size() )
4446 return _FEW_ROWS; // different nb of rows in columns
4449 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4450 // link ending at <corner> (sideLink); there are two cases:
4451 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4452 // since midQuadLink is not at boundary while sideLink is.
4453 // 2) midQuadLink ends at <corner>
4455 TLinkInSet midQuadLink = linksEnd;
4456 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4458 if ( isCase2 ) { // find midQuadLink among links of botTria
4459 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4460 if ( midQuadLink->IsBoundary() )
4461 return _BAD_MIDQUAD;
4463 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4464 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4467 columnChain.push_back( *midQuadLink );
4468 if ( iRow >= rowChains.size() ) {
4470 return _MANY_ROWS; // different nb of rows in columns
4471 if ( resultChains.size() == nbBndLinks / 2 )
4473 resultChains.push_back( TChain() );
4474 rowChains.push_back( & resultChains.back() );
4476 rowChains[iRow]->push_back( *sideLink );
4477 rowChains[iRow]->push_back( *midQuadLink );
4479 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4483 // prepare startCorner and startLink for the next column
4484 startCorner = startLink->NextNode( startCorner );
4486 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4488 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4489 // check if no more columns remains
4490 if ( startLink != linksEnd ) {
4491 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4492 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4493 startLink = linksEnd; // startLink bounds upTria or botTria
4494 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4498 // find bottom link and corner for the next row
4499 corner = sideLink->NextNode( corner );
4500 // next bottom link ends at the new corner
4501 linkSet.erase( botLink );
4502 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4503 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4505 if ( midQuadLink == startLink || sideLink == startLink )
4506 return _TWISTED_CHAIN; // issue 0020951
4507 linkSet.erase( midQuadLink );
4508 linkSet.erase( sideLink );
4510 // make faces neighboring the found ones be boundary
4511 if ( startLink != linksEnd ) {
4512 const QFace* tria = isCase2 ? botTria : upTria;
4513 for ( int iL = 0; iL < 3; ++iL ) {
4514 linkIt = linkSet.find( tria->_sides[iL] );
4515 if ( linkIt != linksEnd )
4516 linkIt->RemoveFace( tria );
4519 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4520 botLink->RemoveFace( upTria ); // make next botTria first in vector
4527 // In the linkSet, there must remain the last links of rowChains; add them
4528 if ( linkSet.size() != rowChains.size() )
4529 return _BAD_SET_SIZE;
4530 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4531 // find the link (startLink) ending at startCorner
4533 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4534 if ( (*startLink)->node1() == startCorner ) {
4535 corner = (*startLink)->node2(); break;
4537 else if ( (*startLink)->node2() == startCorner) {
4538 corner = (*startLink)->node1(); break;
4541 if ( startLink == linksEnd )
4543 rowChains[ iRow ]->push_back( *startLink );
4544 linkSet.erase( startLink );
4545 startCorner = corner;
4551 //================================================================================
4553 * \brief Place medium nodes at the link middle for elements whose corner nodes
4554 * are out of geometrical boundary to prevent distorting elements.
4555 * Issue 0020982, note 0013990
4557 //================================================================================
4559 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4560 SMESH_ComputeErrorPtr& theError)
4562 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4563 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4564 if ( shape.IsNull() ) return;
4566 if ( !dynamic_cast<SMESH_BadInputElements*>( theError.get() ))
4569 theError.reset( new SMESH_BadInputElements( meshDS ));
4571 theError.reset( new SMESH_BadInputElements( meshDS,
4573 theError->myComment,
4578 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4580 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4582 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4583 if ( !faceSM ) return;
4585 const TopoDS_Face& face = TopoDS::Face( shape );
4586 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4588 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4589 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4591 // check if the EDGE needs checking
4592 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4593 if ( SMESH_Algo::isDegenerated( edge ) )
4595 if ( theHelper.IsRealSeam( edge ) &&
4596 edge.Orientation() == TopAbs_REVERSED )
4599 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4600 if ( !edgeSM ) continue;
4603 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4604 BRepAdaptor_Curve curve3D( edge );
4605 switch ( curve3D.GetType() ) {
4606 case GeomAbs_Line: continue;
4607 case GeomAbs_Circle:
4608 case GeomAbs_Ellipse:
4609 case GeomAbs_Hyperbola:
4610 case GeomAbs_Parabola:
4613 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4614 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4615 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4616 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4617 gp_Vec fNorm = Du1 ^ Dv1;
4618 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4619 continue; // face is normal to the curve3D
4621 gp_Vec curvNorm = fNorm ^ D1;
4622 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4623 if ( curvNorm * D2 > 0 )
4624 continue; // convex edge
4626 catch ( Standard_Failure& )
4632 // get nodes shared by faces that may be distorted
4633 SMDS_NodeIteratorPtr nodeIt;
4634 if ( edgeSM->NbNodes() > 0 ) {
4635 nodeIt = edgeSM->GetNodes();
4638 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4640 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4641 if ( !vertexSM ) continue;
4642 nodeIt = vertexSM->GetNodes();
4645 // find suspicious faces
4646 TIDSortedElemSet checkedFaces;
4647 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4648 const SMDS_MeshNode* nOnFace;
4649 while ( nodeIt->more() )
4651 const SMDS_MeshNode* n = nodeIt->next();
4652 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4653 while ( faceIt->more() )
4655 const SMDS_MeshElement* f = faceIt->next();
4656 if ( !faceSM->Contains( f ) ||
4657 f->NbNodes() < 6 || // check quadratic triangles only
4659 !checkedFaces.insert( f ).second )
4662 // get nodes on EDGE and on FACE of a suspicious face
4663 nOnEdge.clear(); nOnFace = 0;
4664 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4665 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4668 if ( n->GetPosition()->GetDim() == 2 )
4671 nOnEdge.push_back( n );
4674 // check if nOnFace is inside the FACE
4675 if ( nOnFace && nOnEdge.size() == 2 )
4677 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4678 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4680 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4681 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4682 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4683 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4684 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4685 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4686 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4687 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4688 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4690 // nOnFace is out of FACE, move a medium on-edge node to the middle
4691 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4692 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4693 MSG( "move OUT of face " << n );
4694 static_cast<SMESH_BadInputElements*>( theError.get() )->add( f );
4700 if ( theError->HasBadElems() )
4701 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4704 } // 2D ==============================================================================
4706 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4708 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4709 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4711 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4712 if ( !solidSM ) return;
4714 // check if the SOLID is bound by concave FACEs
4715 vector< TopoDS_Face > concaveFaces;
4716 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4717 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4719 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4720 if ( !meshDS->MeshElements( face )) continue;
4722 BRepAdaptor_Surface surface( face );
4723 switch ( surface.GetType() ) {
4724 case GeomAbs_Plane: continue;
4725 case GeomAbs_Cylinder:
4727 case GeomAbs_Sphere:
4730 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4731 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4732 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4733 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4734 gp_Vec fNorm = Du1 ^ Dv1;
4735 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4736 bool concaveU = ( fNorm * Du2 > 1e-100 );
4737 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4738 if ( concaveU || concaveV )
4739 concaveFaces.push_back( face );
4741 catch ( Standard_Failure& )
4743 concaveFaces.push_back( face );
4748 if ( concaveFaces.empty() )
4751 // fix 2D mesh on the SOLID
4752 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4754 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4755 faceHelper.SetSubShape( faceIt.Current() );
4756 force3DOutOfBoundary( faceHelper, theError );
4759 // get an iterator over faces on concaveFaces
4760 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4761 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4762 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4763 typedef SMDS_IteratorOnIterators
4764 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4765 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4767 // search to check if a volume is close to a concave face
4768 SMESHUtils::Deleter< SMESH_ElementSearcher > faceSearcher
4769 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4772 //BRepClass3d_SolidClassifier solidClassifier( shape );
4774 TIDSortedElemSet checkedVols, movedNodes;
4775 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4776 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4778 //const TopoDS_Shape& face = faceIt.Current();
4779 const TopoDS_Shape& face = concaveFaces[ iF ];
4780 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4781 if ( !faceSM ) continue;
4783 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4784 SMDS_NodeIteratorPtr nodeIt;
4785 if ( faceSM->NbNodes() > 0 ) {
4786 nodeIt = faceSM->GetNodes();
4789 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4790 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4791 if ( !vertexSM ) continue;
4792 nodeIt = vertexSM->GetNodes();
4794 // get ids of sub-shapes of the FACE
4796 SMESH_subMeshIteratorPtr smIt =
4797 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4798 while ( smIt->more() )
4799 subIDs.insert( smIt->next()->GetId() );
4801 // find suspicious volumes adjacent to the FACE
4802 vector< const SMDS_MeshNode* > nOnFace( 4 );
4803 const SMDS_MeshNode* nInSolid;
4804 while ( nodeIt->more() )
4806 const SMDS_MeshNode* n = nodeIt->next();
4807 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4808 while ( volIt->more() )
4810 const SMDS_MeshElement* vol = volIt->next();
4811 size_t nbN = vol->NbCornerNodes();
4812 if ( ( nbN != 4 && nbN != 5 ) ||
4813 !solidSM->Contains( vol ) ||
4814 !checkedVols.insert( vol ).second )
4817 // get nodes on FACE and in SOLID of a suspicious volume
4818 nOnFace.clear(); nInSolid = 0;
4819 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4820 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4823 if ( n->GetPosition()->GetDim() == 3 )
4825 else if ( subIDs.count( n->getshapeId() ))
4826 nOnFace.push_back( n );
4830 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4833 // get size of the vol
4834 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4835 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4836 for ( size_t i = 1; i < nOnFace.size(); ++i )
4838 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4841 // check if vol is close to concaveFaces
4842 const SMDS_MeshElement* closeFace =
4843 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4845 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4848 // check if vol is distorted, i.e. a medium node is much closer
4849 // to nInSolid than the link middle
4850 bool isDistorted = false;
4851 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4852 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4854 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4855 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4856 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4857 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4859 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4860 TLinkNodeMap::const_iterator linkIt =
4861 theHelper.GetTLinkNodeMap().find( link );
4862 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4864 links.push_back( make_pair( linkIt->first, linkIt->second ));
4865 if ( !isDistorted ) {
4866 // compare projections of nInSolid and nMedium to face normal
4867 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4868 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4869 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4870 if ( Abs( hMedium ) > Abs( hVol * 0.75 ))
4872 SMESH_TNodeXYZ pI( nOnFace[i]), pJ( nOnFace[j]);
4873 double angle = gp_Vec( pI, pMedium ).Angle( gp_Vec( pI, pJ ));
4874 isDistorted = ( angle > M_PI / 20 );
4879 // move medium nodes to link middle
4882 for ( size_t i = 0; i < links.size(); ++i )
4884 const SMDS_MeshNode* nMedium = links[i].second;
4885 if ( movedNodes.insert( nMedium ).second )
4887 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4888 SMESH_TNodeXYZ( links[i].first.node2() ));
4889 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4890 MSG( "move OUT of solid " << nMedium );
4893 static_cast<SMESH_BadInputElements*>( theError.get() )->add( vol );
4895 } // loop on volumes sharing a node on FACE
4896 } // loop on nodes on FACE
4897 } // loop on FACEs of a SOLID
4899 if ( theError->HasBadElems() )
4900 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4906 //=======================================================================
4908 * \brief Move medium nodes of faces and volumes to fix distorted elements
4909 * \param error - container of fixed distorted elements
4910 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4912 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4914 //=======================================================================
4916 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4919 //MESSAGE("FixQuadraticElements " << volumeOnly);
4920 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4921 if ( getenv("NO_FixQuadraticElements") )
4924 // 0. Apply algorithm to SOLIDs or FACEs
4925 // ----------------------------------------------
4926 if ( myShape.IsNull() ) {
4927 if ( !myMesh->HasShapeToMesh() ) return;
4928 SetSubShape( myMesh->GetShapeToMesh() );
4932 TopTools_IndexedMapOfShape solids;
4933 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4934 nbSolids = solids.Extent();
4936 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4937 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4938 faces.Add( f.Current() ); // not in solid
4940 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4941 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4942 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4943 faces.Add( f.Current() ); // in not meshed solid
4945 else { // fix nodes in the solid and its faces
4947 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4949 SMESH_MesherHelper h(*myMesh);
4950 h.SetSubShape( s.Current() );
4951 h.ToFixNodeParameters(true);
4952 h.FixQuadraticElements( compError, false );
4955 // fix nodes on geom faces
4957 int nbfaces = nbSolids;
4958 nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4960 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4961 MESSAGE("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4962 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4963 SMESH_MesherHelper h(*myMesh);
4964 h.SetSubShape( fIt.Key() );
4965 h.ToFixNodeParameters(true);
4966 h.FixQuadraticElements( compError, true);
4968 //perf_print_all_meters(1);
4969 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4970 compError->myComment = "during conversion to quadratic, "
4971 "some medium nodes were not placed on geometry to avoid distorting elements";
4975 // 1. Find out type of elements and get iterator on them
4976 // ---------------------------------------------------
4978 SMDS_ElemIteratorPtr elemIt;
4979 SMDSAbs_ElementType elemType = SMDSAbs_All;
4981 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4984 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4985 elemIt = smDS->GetElements();
4986 if ( elemIt->more() ) {
4987 elemType = elemIt->next()->GetType();
4988 elemIt = smDS->GetElements();
4991 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4994 // 2. Fill in auxiliary data structures
4995 // ----------------------------------
4999 set< QLink >::iterator pLink;
5000 set< QFace >::iterator pFace;
5002 bool isCurved = false;
5003 //bool hasRectFaces = false;
5004 //set<int> nbElemNodeSet;
5005 SMDS_VolumeTool volTool;
5007 TIDSortedNodeSet apexOfPyramid;
5008 const int apexIndex = 4;
5011 // Move medium nodes to the link middle for elements whose corner nodes
5012 // are out of geometrical boundary to fix distorted elements.
5013 force3DOutOfBoundary( *this, compError );
5015 if ( elemType == SMDSAbs_Volume )
5017 while ( elemIt->more() ) // loop on volumes
5019 const SMDS_MeshElement* vol = elemIt->next();
5020 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
5022 double volMinSize2 = -1.;
5023 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
5025 int nbN = volTool.NbFaceNodes( iF );
5026 //nbElemNodeSet.insert( nbN );
5027 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
5028 vector< const QLink* > faceLinks( nbN/2 );
5029 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
5032 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
5033 pLink = links.insert( link ).first;
5034 faceLinks[ iN/2 ] = & *pLink;
5036 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
5038 if ( !link.IsStraight() )
5039 return; // already fixed
5041 else if ( !isCurved )
5043 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
5044 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
5048 pFace = faces.insert( QFace( faceLinks )).first;
5049 if ( pFace->NbVolumes() == 0 )
5050 pFace->AddSelfToLinks();
5051 pFace->SetVolume( vol );
5052 // hasRectFaces = hasRectFaces ||
5053 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
5054 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
5057 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
5059 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
5060 faceNodes[4],faceNodes[6] );
5063 // collect pyramid apexes for further correction
5064 if ( vol->NbCornerNodes() == 5 )
5065 apexOfPyramid.insert( vol->GetNode( apexIndex ));
5067 set< QLink >::iterator pLink = links.begin();
5068 for ( ; pLink != links.end(); ++pLink )
5069 pLink->SetContinuesFaces();
5073 while ( elemIt->more() ) // loop on faces
5075 const SMDS_MeshElement* face = elemIt->next();
5076 if ( !face->IsQuadratic() )
5078 //nbElemNodeSet.insert( face->NbNodes() );
5079 int nbN = face->NbNodes()/2;
5080 vector< const QLink* > faceLinks( nbN );
5081 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
5084 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
5085 pLink = links.insert( link ).first;
5086 faceLinks[ iN ] = & *pLink;
5088 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
5089 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
5090 isCurved = !link.IsStraight();
5093 pFace = faces.insert( QFace( faceLinks )).first;
5094 pFace->AddSelfToLinks();
5095 //hasRectFaces = ( hasRectFaces || nbN == 4 );
5099 return; // no curved edges of faces
5101 // 3. Compute displacement of medium nodes
5102 // ---------------------------------------
5104 SMESH_MesherHelper faceHlp(*myMesh);
5106 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
5107 TopLoc_Location loc;
5109 // not to treat boundary of volumic sub-mesh.
5110 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
5111 for ( ; isInside < 2; ++isInside )
5113 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
5114 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
5115 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
5117 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
5118 if ( bool(isInside) == pFace->IsBoundary() )
5120 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
5123 // make chain of links connected via continues faces
5126 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
5128 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
5130 vector< TChain > chains;
5131 if ( error == ERR_OK ) { // chain contains continues rectangles
5133 chains[0].splice( chains[0].begin(), rawChain );
5135 else if ( error == ERR_TRI ) { // chain contains continues triangles
5136 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
5137 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
5138 fixTriaNearBoundary( rawChain, *this );
5142 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
5143 fixPrism( rawChain );
5149 for ( size_t iC = 0; iC < chains.size(); ++iC )
5151 TChain& chain = chains[iC];
5152 if ( chain.empty() ) continue;
5153 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
5154 MSG("3D straight - ignore");
5157 if ( chain.front()->MediumPos() > bndPos ||
5158 chain.back() ->MediumPos() > bndPos ) {
5159 MSG("Internal chain - ignore");
5162 // measure chain length and compute link position along the chain
5163 double chainLen = 0;
5164 vector< double > linkPos;
5165 TChain savedChain; // backup
5166 MSGBEG( "Link medium nodes: ");
5167 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
5168 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
5169 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
5170 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5171 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
5172 if ( savedChain.empty() ) savedChain = chain;
5173 link1 = chain.erase( link1 );
5174 if ( link1 == chain.end() )
5176 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5179 linkPos.push_back( chainLen );
5182 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5187 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5189 linkPos.push_back( chainLen );
5192 gp_Vec move0 = chain.front()->_nodeMove;
5193 gp_Vec move1 = chain.back ()->_nodeMove;
5198 // compute node displacement of end links of chain in parametric space of FACE
5199 TChainLink& linkOnFace = *(++chain.begin());
5200 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5201 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5202 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5204 face = TopoDS::Face( f );
5205 faceHlp.SetSubShape( face );
5206 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5207 //bool isStraight[2]; // commented for issue 0023118
5208 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5210 TChainLink& link = is1 ? chain.back() : chain.front();
5211 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5212 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5213 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5214 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5215 // uvMove = uvm - uv12
5216 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5217 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5218 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5219 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5220 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5221 // 10 * uvMove.SquareModulus());
5223 // if ( isStraight[0] && isStraight[1] ) {
5224 // MSG("2D straight - ignore");
5225 // continue; // straight - no need to move nodes of internal links
5228 // check if a chain is already fixed
5229 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5230 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5231 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5232 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5233 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5235 MSG("Already fixed - ignore");
5241 if ( isInside || face.IsNull() )
5243 // compute node displacement of end links in their local coord systems
5245 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5246 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5247 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5248 move0.Transform(trsf);
5251 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5252 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5253 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5254 move1.Transform(trsf);
5257 // compute displacement of medium nodes
5258 link2 = chain.begin();
5261 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5263 double r = linkPos[i] / chainLen;
5264 // displacement in local coord system
5265 gp_Vec move = (1. - r) * move0 + r * move1;
5266 if ( isInside || face.IsNull()) {
5267 // transform to global
5268 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5269 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5271 gp_Vec x = x01.Normalized() + x12.Normalized();
5272 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5273 } catch ( Standard_Failure& ) {
5276 move.Transform(trsf);
5277 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5280 // compute 3D displacement by 2D one
5281 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5282 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5283 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5284 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5285 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5286 if ( SMDS_FacePositionPtr nPos = (*link1)->_mediumNode->GetPosition())
5287 nPos->SetParameters( newUV.X(), newUV.Y() );
5289 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5290 move.SquareMagnitude())
5292 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5293 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5294 MSG( "TOO LONG MOVE \t" <<
5295 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5296 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5297 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5298 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5299 uv0.SetX( uv2.X() ); // avoid warning: variable set but not used
5302 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5304 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5305 << chain.front()->_mediumNode->GetID() <<"-"
5306 << chain.back ()->_mediumNode->GetID() <<
5307 " by " << move.Magnitude());
5309 } // loop on chains of links
5310 } // loop on 2 directions of propagation from quadrangle
5312 } // fix faces and/or volumes
5317 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa, biQuadPenta;
5318 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5319 myMesh->NbBiQuadTriangles() +
5320 myMesh->NbTriQuadraticHexas() +
5321 myMesh->NbBiQuadPrisms());
5323 faceHlp.ToFixNodeParameters( true );
5325 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5326 if ( pLink->IsMoved() )
5328 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5330 // put on surface nodes on FACE but moved in 3D (23050)
5331 if ( !pLink->IsFixedOnSurface() )
5333 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5334 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5336 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5337 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5338 gp_XY uv( Precision::Infinite(), 0 );
5339 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5340 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5341 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5344 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5346 // collect bi-quadratic elements
5347 if ( toFixCentralNodes )
5349 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5350 while ( eIt->more() )
5352 const SMDS_MeshElement* e = eIt->next();
5353 switch( e->GetEntityType() ) {
5354 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5355 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5356 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5357 case SMDSEntity_BiQuad_Penta: biQuadPenta.insert( e ); break;
5364 // Fix positions of central nodes of bi-tri-quadratic elements
5366 // treat bi-quad quadrangles
5368 vector< const SMDS_MeshNode* > nodes( 9 );
5370 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5371 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5373 const SMDS_MeshElement* quad = *quadIt;
5376 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5378 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5379 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5380 const TopoDS_Face& F = TopoDS::Face( S );
5381 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5382 const double tol = BRep_Tool::Tolerance( F );
5384 for ( int i = 0; i < 8; ++i )
5386 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5387 // as this method is used after mesh generation, UV of nodes is not
5388 // updated according to bending links, so we update
5389 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5390 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5392 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5393 // move the central node
5394 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5395 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5396 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5400 // treat bi-quad triangles
5402 vector< const SMDS_MeshNode* > nodes;
5404 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5405 for ( ; triIt != biQuadTris.end(); ++triIt )
5407 const SMDS_MeshElement* tria = *triIt;
5409 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5410 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5411 const TopoDS_Face& F = TopoDS::Face( S );
5412 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5413 const double tol = BRep_Tool::Tolerance( F );
5416 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5418 bool uvOK = true, badTria = false;
5419 for ( int i = 0; i < 6; ++i )
5421 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5422 // as this method is used after mesh generation, UV of nodes is not
5423 // updated according to bending links, so we update
5424 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5425 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5428 // move the central node
5430 if ( !uvOK || badTria )
5432 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5433 SMESH_TNodeXYZ( nodes[4] ) +
5434 SMESH_TNodeXYZ( nodes[5] )) / 3;
5438 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5439 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5440 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5442 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5446 // treat tri-quadratic hexahedra
5448 SMDS_VolumeTool volExp;
5449 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5450 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5452 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5454 // fix nodes central in sides
5455 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5457 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5458 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5460 gp_XYZ p = calcTFI( 0.5, 0.5,
5461 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5462 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5463 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5464 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5465 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5469 // fix the volume central node
5470 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5471 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5473 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5474 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5475 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5476 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5477 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5478 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5479 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5480 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5482 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5483 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5484 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5485 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5486 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5487 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5488 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5489 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5490 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5491 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5492 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5493 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5495 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5496 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5497 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5498 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5499 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5500 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5502 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5503 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5504 GetMeshDS()->MoveNode( hexNodes[26],
5505 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());
5508 // treat tri-quadratic hexahedra
5510 SMDS_VolumeTool volExp;
5511 TIDSortedElemSet::iterator pentIt = biQuadPenta.begin();
5512 for ( ; pentIt != biQuadPenta.end(); ++pentIt )
5515 volExp.Set( *pentIt, /*ignoreCentralNodes=*/false );
5520 // avoid warning: defined but not used operator<<()
5521 SMESH_Comment() << *links.begin() << *faces.begin();
5526 //================================================================================
5530 //================================================================================
5532 void SMESH_MesherHelper::WriteShape(const TopoDS_Shape& s)
5534 const char* name = "/tmp/shape.brep";
5535 BRepTools::Write( s, name );
5537 std::cout << name << std::endl;