1 // Copyright (C) 2007-2016 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESHDS_Mesh.hxx"
35 #include "SMESH_Block.hxx"
36 #include "SMESH_HypoFilter.hxx"
37 #include "SMESH_Mesh.hxx"
38 #include "SMESH_MeshAlgos.hxx"
39 #include "SMESH_ProxyMesh.hxx"
40 #include "SMESH_subMesh.hxx"
42 #include <BRepAdaptor_Curve.hxx>
43 #include <BRepAdaptor_Surface.hxx>
44 #include <BRepTools.hxx>
45 #include <BRep_Tool.hxx>
46 #include <Geom2d_Curve.hxx>
47 #include <GeomAPI_ProjectPointOnCurve.hxx>
48 #include <GeomAPI_ProjectPointOnSurf.hxx>
49 #include <Geom_Curve.hxx>
50 #include <Geom_RectangularTrimmedSurface.hxx>
51 #include <Geom_Surface.hxx>
52 #include <ShapeAnalysis.hxx>
54 #include <TopExp_Explorer.hxx>
55 #include <TopTools_ListIteratorOfListOfShape.hxx>
56 #include <TopTools_MapIteratorOfMapOfShape.hxx>
57 #include <TopTools_MapOfShape.hxx>
60 #include <gp_Pnt2d.hxx>
61 #include <gp_Trsf.hxx>
63 #include <Standard_Failure.hxx>
64 #include <Standard_ErrorHandler.hxx>
66 #include <utilities.h>
72 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
76 inline SMESH_TNodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_TNodeXYZ(n); }
78 enum { U_periodic = 1, V_periodic = 2 };
81 //================================================================================
85 //================================================================================
87 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
91 myCreateQuadratic(false),
92 myCreateBiQuadratic(false),
93 myFixNodeParameters(false)
95 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
96 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
99 //=======================================================================
100 //function : ~SMESH_MesherHelper
102 //=======================================================================
104 SMESH_MesherHelper::~SMESH_MesherHelper()
107 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
108 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
109 delete i_proj->second;
112 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
113 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
114 delete i_proj->second;
118 //================================================================================
120 * \brief Return SMESH_Gen
122 //================================================================================
124 SMESH_Gen* SMESH_MesherHelper::GetGen() const
126 return GetMesh()->GetGen();
129 //================================================================================
131 * \brief Return mesh DS
133 //================================================================================
135 SMESHDS_Mesh* SMESH_MesherHelper::GetMeshDS() const
137 return GetMesh()->GetMeshDS();
140 //=======================================================================
141 //function : IsQuadraticSubMesh
142 //purpose : Check sub-meshes of a given shape: if all elements on sub-shapes
143 // are quadratic, quadratic elements will be created.
144 // Fill myTLinkNodeMap
145 //=======================================================================
147 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
149 SMESHDS_Mesh* meshDS = GetMeshDS();
150 // we can create quadratic elements only if all elements
151 // created on sub-shapes of given shape are quadratic
152 myCreateQuadratic = true;
153 mySeamShapeIds.clear();
154 myDegenShapeIds.clear();
155 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
156 if ( aSh.ShapeType()==TopAbs_COMPOUND )
158 TopoDS_Iterator subIt( aSh );
160 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
162 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
164 if ( !myMesh->HasShapeToMesh() )
166 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
168 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
169 while ( fIt->more() )
170 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
175 TopExp_Explorer exp( aSh, subType );
176 TopTools_MapOfShape checkedSubShapes;
177 for (; exp.More() && myCreateQuadratic; exp.Next()) {
178 if ( !checkedSubShapes.Add( exp.Current() ))
179 continue; // needed if aSh is compound of solids
180 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
181 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
183 const SMDS_MeshElement* e = it->next();
184 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
185 myCreateQuadratic = false;
190 switch ( e->NbCornerNodes() ) {
192 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
194 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
195 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
196 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
198 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
199 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
200 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
201 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
204 myCreateQuadratic = false;
214 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
215 if ( myTLinkNodeMap.empty() )
216 myCreateQuadratic = false;
218 if ( !myCreateQuadratic )
219 myTLinkNodeMap.clear();
223 return myCreateQuadratic;
226 //=======================================================================
227 //function : SetSubShape
228 //purpose : Set geometry to make elements on
229 //=======================================================================
231 void SMESH_MesherHelper::SetSubShape(const int aShID)
233 if ( aShID == myShapeID )
236 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
238 SetSubShape( TopoDS_Shape() );
241 //=======================================================================
242 //function : SetSubShape
243 //purpose : Set geometry to create elements on
244 //=======================================================================
246 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
248 if ( myShape.IsSame( aSh ))
252 mySeamShapeIds.clear();
253 myDegenShapeIds.clear();
255 if ( myShape.IsNull() ) {
259 SMESHDS_Mesh* meshDS = GetMeshDS();
260 myShapeID = meshDS->ShapeToIndex(aSh);
263 // treatment of periodic faces
264 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
266 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
267 BRepAdaptor_Surface surf( face, false );
268 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
269 myParIndex |= U_periodic;
270 myPar1[0] = surf.FirstUParameter();
271 myPar2[0] = surf.LastUParameter();
273 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
274 myParIndex |= V_periodic;
275 myPar1[1] = surf.FirstVParameter();
276 myPar2[1] = surf.LastVParameter();
280 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
282 // look for a "seam" edge, a real seam or an edge on period boundary
283 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
284 const int edgeID = meshDS->ShapeToIndex( edge );
287 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
288 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
289 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
291 bool isSeam = BRep_Tool::IsClosed( edge, face );
292 if ( isSeam ) // real seam - having two pcurves on face
294 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
297 double u1 = uv1.Coord(1);
299 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
300 double u2 = uv1.Coord(1);
301 myPar1[0] = Min( u1, u2 );
302 myPar2[0] = Max( u1, u2 );
303 myParIndex |= U_periodic;
307 double v1 = uv1.Coord(2);
309 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
310 double v2 = uv1.Coord(2);
311 myPar1[1] = Min( v1, v2 );
312 myPar2[1] = Max( v1, v2 );
313 myParIndex |= V_periodic;
316 else //if ( !isSeam )
318 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
319 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
321 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
322 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
324 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
326 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
327 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
329 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
331 double f,l, r = 0.2345;
332 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
339 uv2 = C2d->Value( f * r + l * ( 1.-r ));
340 if ( du < Precision::PConfusion() )
341 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
343 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
349 // store seam shape indices, negative if shape encounters twice ('real seam')
350 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
351 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
352 int vertexID = meshDS->ShapeToIndex( v.Current() );
353 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
357 // look for a degenerated edge
358 if ( SMESH_Algo::isDegenerated( edge )) {
359 myDegenShapeIds.insert( edgeID );
360 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
361 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
363 if ( !BRep_Tool::SameParameter( edge ) ||
364 !BRep_Tool::SameRange( edge ))
366 setPosOnShapeValidity( edgeID, false );
372 //=======================================================================
374 * \brief Copy shape information from another helper. Used to improve performance
375 * since SetSubShape() can be time consuming if there are many edges
377 //=======================================================================
379 void SMESH_MesherHelper::CopySubShapeInfo(const SMESH_MesherHelper& other)
381 this->myShape = other.myShape;
382 this->myShapeID = other.myShapeID;
383 this->myDegenShapeIds = other.myDegenShapeIds;
384 this->mySeamShapeIds = other.mySeamShapeIds;
385 this->myPar1[0] = other.myPar1[0];
386 this->myPar1[1] = other.myPar1[1];
387 this->myPar2[0] = other.myPar2[0];
388 this->myPar2[1] = other.myPar2[1];
389 this->myParIndex = other.myParIndex;
390 this->myFace2Surface = other.myFace2Surface;
393 //=======================================================================
394 //function : ShapeToIndex
395 //purpose : Convert a shape to its index in the SMESHDS_Mesh
396 //=======================================================================
398 int SMESH_MesherHelper::ShapeToIndex( const TopoDS_Shape& S ) const
400 return GetMeshDS()->ShapeToIndex( S );
403 //=======================================================================
404 //function : GetNodeUVneedInFaceNode
405 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
406 // Return true if the face is periodic.
407 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
409 //=======================================================================
411 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
413 if ( F.IsNull() ) return !mySeamShapeIds.empty();
415 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
416 return !mySeamShapeIds.empty();
419 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
420 if ( !aSurface.IsNull() )
421 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
426 //=======================================================================
427 //function : IsMedium
429 //=======================================================================
431 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
432 const SMDSAbs_ElementType typeToCheck)
434 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
437 //=======================================================================
438 //function : GetSubShapeByNode
439 //purpose : Return support shape of a node
440 //=======================================================================
442 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
443 const SMESHDS_Mesh* meshDS)
445 int shapeID = node ? node->getshapeId() : 0;
446 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
447 return meshDS->IndexToShape( shapeID );
449 return TopoDS_Shape();
453 //=======================================================================
454 //function : AddTLinkNode
455 //purpose : add a link in my data structure
456 //=======================================================================
458 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
459 const SMDS_MeshNode* n2,
460 const SMDS_MeshNode* n12)
462 // add new record to map
463 SMESH_TLink link( n1, n2 );
464 myTLinkNodeMap.insert( make_pair(link,n12));
467 //================================================================================
469 * \brief Add quadratic links of edge to own data structure
471 //================================================================================
473 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
475 if ( edge && edge->IsQuadratic() )
476 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
482 //================================================================================
484 * \brief Add quadratic links of face to own data structure
486 //================================================================================
488 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
492 switch ( f->NbNodes() ) {
494 // myMapWithCentralNode.insert
495 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
497 // break; -- add medium nodes as well
499 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
500 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
501 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
504 // myMapWithCentralNode.insert
505 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
507 // break; -- add medium nodes as well
509 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
510 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
511 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
512 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
519 //================================================================================
521 * \brief Add quadratic links of volume to own data structure
523 //================================================================================
525 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
527 if ( volume->IsQuadratic() )
529 SMDS_VolumeTool vTool( volume );
530 const SMDS_MeshNode** nodes = vTool.GetNodes();
532 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
534 const int nbN = vTool.NbFaceNodes( iF );
535 const int* iNodes = vTool.GetFaceNodesIndices( iF );
536 for ( int i = 0; i < nbN; )
538 int iN1 = iNodes[i++];
539 int iN12 = iNodes[i++];
541 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
542 int linkID = iN1 * vTool.NbNodes() + iN2;
543 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
544 if ( it_isNew.second )
545 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
547 addedLinks.erase( it_isNew.first ); // each link encounters only twice
549 if ( vTool.NbNodes() == 27 )
551 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
552 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
553 myMapWithCentralNode.insert
554 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
555 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
564 //================================================================================
566 * \brief Return true if position of nodes on the shape hasn't yet been checked or
567 * the positions proved to be invalid
569 //================================================================================
571 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
573 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
574 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
577 //================================================================================
579 * \brief Set validity of positions of nodes on the shape.
580 * Once set, validity is not changed
582 //================================================================================
584 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
586 std::map< int,bool >::iterator sh_ok =
587 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
592 //=======================================================================
593 //function : ToFixNodeParameters
594 //purpose : Enables fixing node parameters on EDGEs and FACEs in
595 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
596 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
598 //=======================================================================
600 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
602 myFixNodeParameters = toFix;
606 //=======================================================================
607 //function : getUVOnSeam
608 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
609 //=======================================================================
611 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
613 gp_Pnt2d result = uv1;
614 for ( int i = U_periodic; i <= V_periodic ; ++i )
616 if ( myParIndex & i )
618 double p1 = uv1.Coord( i );
619 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
620 if ( myParIndex == i ||
621 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
622 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
624 double p2 = uv2.Coord( i );
625 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
626 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
627 result.SetCoord( i, p1Alt );
634 //=======================================================================
635 //function : GetNodeUV
636 //purpose : Return node UV on face
637 //=======================================================================
639 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
640 const SMDS_MeshNode* n,
641 const SMDS_MeshNode* n2,
644 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
646 SMDS_PositionPtr pos = n->GetPosition();
648 if ( pos->GetTypeOfPosition() == SMDS_TOP_FACE )
650 // node has position on face
651 SMDS_FacePositionPtr fpos = pos;
652 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
654 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
656 else if ( pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
658 // node has position on EDGE => it is needed to find
659 // corresponding EDGE from FACE, get pcurve for this
660 // EDGE and retrieve value from this pcurve
661 SMDS_EdgePositionPtr epos = pos;
662 const int edgeID = n->getshapeId();
663 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
664 double f, l, u = epos->GetUParameter();
665 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
666 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
667 if ( validU ) uv = C2d->Value( u );
668 else uv.SetCoord( Precision::Infinite(),0.);
669 if ( check || !validU )
670 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
672 // for a node on a seam EDGE select one of UVs on 2 pcurves
673 if ( n2 && IsSeamShape( edgeID ))
675 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
678 { // adjust uv to period
680 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
681 Standard_Boolean isUPeriodic = S->IsUPeriodic();
682 Standard_Boolean isVPeriodic = S->IsVPeriodic();
684 if ( isUPeriodic || isVPeriodic ) {
685 Standard_Real UF,UL,VF,VL;
686 S->Bounds(UF,UL,VF,VL);
687 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
688 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
692 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
693 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
694 newUV.SetX( uv.X() );
695 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
696 newUV.SetY( uv.Y() );
702 else if ( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
704 if ( int vertexID = n->getshapeId() ) {
705 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
707 uv = BRep_Tool::Parameters( V, F );
710 catch (Standard_Failure& exc) {
714 if ( !IsSubShape( V, F ))
716 MESSAGE("GetNodeUV() Vertex "<< vertexID <<" not in face "<< GetMeshDS()->ShapeToIndex(F));
717 // get UV of a vertex closest to the node
719 gp_Pnt pn = XYZ( n );
720 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
721 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
722 gp_Pnt p = BRep_Tool::Pnt( curV );
723 double curDist = p.SquareDistance( pn );
724 if ( curDist < dist ) {
726 uv = BRep_Tool::Parameters( curV, F );
727 uvOK = ( dist < DBL_MIN );
734 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
735 for ( ; it.More(); it.Next() ) {
736 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
737 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
739 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
740 if ( !C2d.IsNull() ) {
741 double u = ( V == IthVertex( 0, edge )) ? f : l;
742 uv = C2d->Value( u );
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 ));
776 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
779 if ( check && !uvOK )
785 //=======================================================================
786 //function : CheckNodeUV
787 //purpose : Check and fix node UV on a face
788 //=======================================================================
790 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
791 const SMDS_MeshNode* n,
795 double distXYZ[4]) const
797 int shapeID = n->getshapeId();
799 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
801 ( uv.X() == 0. && uv.Y() == 0. ) ||
802 ( toCheckPosOnShape( shapeID )))
804 // check that uv is correct
806 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
807 SMESH_NodeXYZ nXYZ( n );
808 gp_Pnt nodePnt = nXYZ, surfPnt(0,0,0);
810 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
812 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
814 setPosOnShapeValidity( shapeID, false );
815 // uv incorrect, project the node to surface
816 Handle(ShapeAnalysis_Surface) sprojector = GetSurface( F );
817 uv = sprojector->ValueOfUV( nXYZ, tol ).XY();
818 surfPnt = sprojector->Value( uv );
819 dist = surfPnt.Distance( nXYZ );
822 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
826 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
829 // store the fixed UV on the face
830 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
831 const_cast<SMDS_MeshNode*>(n)->SetPosition
832 ( SMDS_PositionPtr( new SMDS_FacePosition( uv.X(), uv.Y() )));
834 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
836 setPosOnShapeValidity( shapeID, true );
842 //=======================================================================
843 //function : GetProjector
844 //purpose : Return projector initialized by given face without location, which is returned
845 //=======================================================================
847 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
848 TopLoc_Location& loc,
851 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
852 int faceID = GetMeshDS()->ShapeToIndex( F );
853 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
854 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
855 if ( i_proj == i2proj.end() )
857 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
858 double U1, U2, V1, V2;
859 surface->Bounds(U1, U2, V1, V2);
860 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
861 proj->Init( surface, U1, U2, V1, V2, tol );
862 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
864 return *( i_proj->second );
867 //=======================================================================
868 //function : GetSurface
869 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
870 //=======================================================================
872 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
874 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
875 int faceID = GetMeshDS()->ShapeToIndex( F );
876 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
877 if ( i_surf == myFace2Surface.end() && faceID )
879 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
880 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
882 return i_surf->second;
887 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
888 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
889 gp_XY_FunPtr(Subtracted);
892 //=======================================================================
893 //function : ApplyIn2D
894 //purpose : Perform given operation on two 2d points in parameric space of given surface.
895 // It takes into account period of the surface. Use gp_XY_FunPtr macro
896 // to easily define pointer to function of gp_XY class.
897 //=======================================================================
899 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
903 const bool resultInPeriod)
905 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
906 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
907 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
908 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
909 if ( !isUPeriodic && !isVPeriodic )
912 // move uv2 not far than half-period from uv1
914 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
916 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
919 gp_XY res = fun( uv1, gp_XY(u2,v2) );
921 // move result within period
922 if ( resultInPeriod )
924 Standard_Real UF,UL,VF,VL;
925 surface->Bounds(UF,UL,VF,VL);
927 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
929 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
935 //=======================================================================
936 //function : AdjustByPeriod
937 //purpose : Move node positions on a FACE within surface period
938 //=======================================================================
940 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
942 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
943 ph->SetSubShape( face );
945 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
946 if ( ph->GetPeriodicIndex() & iCoo )
948 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
949 const double xRef = uv[0].Coord( iCoo );
950 for ( int i = 1; i < nbUV; ++i )
952 double x = uv[i].Coord( iCoo );
953 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
954 uv[i].SetCoord( iCoo, x + dx );
959 //=======================================================================
960 //function : GetMiddleUV
961 //purpose : Return middle UV taking in account surface period
962 //=======================================================================
964 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
969 // the proper place of getting basic surface seems to be in ApplyIn2D()
970 // but we put it here to decrease a risk of regressions just before releasing a version
971 // Handle(Geom_Surface) surf = surface;
972 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
973 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
975 return ApplyIn2D( surface, p1, p2, & AverageUV );
978 //=======================================================================
979 //function : GetCenterUV
980 //purpose : Return UV for the central node of a biquadratic triangle
981 //=======================================================================
983 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
989 bool * isBadTria/*=0*/)
992 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
994 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
995 uvAvg = ( uv1 + uv23 ) / 2.;
996 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
997 uvAvg = ( uv2 + uv31 ) / 2.;
998 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
999 uvAvg = ( uv3 + uv12 ) / 2.;
1002 *isBadTria = badTria;
1006 //=======================================================================
1007 //function : GetNodeU
1008 //purpose : Return node U on edge
1009 //=======================================================================
1011 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
1012 const SMDS_MeshNode* n,
1013 const SMDS_MeshNode* inEdgeNode,
1016 double param = Precision::Infinite();
1018 const SMDS_PositionPtr pos = n->GetPosition();
1019 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1021 param = pos->GetParameters()[0];
1023 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
1025 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
1028 BRep_Tool::Range( E, f,l );
1029 double uInEdge = GetNodeU( E, inEdgeNode );
1030 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
1034 SMESHDS_Mesh * meshDS = GetMeshDS();
1035 int vertexID = n->getshapeId();
1036 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
1037 param = BRep_Tool::Parameter( V, E );
1042 double tol = BRep_Tool::Tolerance( E );
1043 double f,l; BRep_Tool::Range( E, f,l );
1044 bool force = ( param < f-tol || param > l+tol );
1045 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1046 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1048 *check = CheckNodeU( E, n, param, 2*tol, force );
1053 //=======================================================================
1054 //function : CheckNodeU
1055 //purpose : Check and fix node U on an edge
1056 // Return false if U is bad and could not be fixed
1057 //=======================================================================
1059 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1060 const SMDS_MeshNode* n,
1064 double distXYZ[4]) const
1066 int shapeID = n->getshapeId();
1068 if (( infinit = Precision::IsInfinite( u )) ||
1071 ( toCheckPosOnShape( shapeID )))
1073 TopLoc_Location loc; double f,l;
1074 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1075 if ( curve.IsNull() ) // degenerated edge
1077 if ( u+tol < f || u-tol > l )
1079 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1085 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1086 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1088 double dist = 2*tol;
1091 curvPnt = curve->Value( u );
1092 dist = nodePnt.Distance( curvPnt );
1094 curvPnt.Transform( loc );
1096 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1101 setPosOnShapeValidity( shapeID, false );
1102 // u incorrect, project the node to the curve
1103 int edgeID = GetMeshDS()->ShapeToIndex( E );
1104 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1105 TID2ProjectorOnCurve::iterator i_proj =
1106 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1107 if ( !i_proj->second )
1109 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1110 i_proj->second->Init( curve, f, l );
1112 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1113 projector->Perform( nodePnt );
1114 if ( projector->NbPoints() < 1 )
1116 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1119 Standard_Real U = projector->LowerDistanceParameter();
1121 curvPnt = curve->Value( u );
1122 dist = nodePnt.Distance( curvPnt );
1124 curvPnt.Transform( loc );
1126 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1130 MESSAGE( "CheckNodeU(), invalid projection; distance " << dist << "; tol " << tol );
1133 // store the fixed U on the edge
1134 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1135 const_cast<SMDS_MeshNode*>(n)->SetPosition
1136 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1138 else if ( fabs( u ) > numeric_limits<double>::min() )
1140 setPosOnShapeValidity( shapeID, true );
1142 if (( u < f-tol || u > l+tol ) && force )
1144 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1145 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1148 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1149 double period = curve->Period();
1150 u = ( u < f ) ? u + period : u - period;
1152 catch (Standard_Failure& exc)
1162 //=======================================================================
1163 //function : GetMediumPos
1164 //purpose : Return index and type of the shape (EDGE or FACE only) to
1165 // set a medium node on
1166 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1168 //param : expectedSupport - shape type corresponding to element being created,
1169 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1170 // basing on \a n1 and \a n2
1171 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1172 // case where the lower dim mesh is already constructed and converted to quadratic,
1173 // else, nodes on EDGEs are assigned to FACE, for example.
1174 //=======================================================================
1176 std::pair<int, TopAbs_ShapeEnum>
1177 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1178 const SMDS_MeshNode* n2,
1179 const bool useCurSubShape,
1180 TopAbs_ShapeEnum expectedSupport)
1182 if ( useCurSubShape && !myShape.IsNull() )
1183 return std::make_pair( myShapeID, myShape.ShapeType() );
1185 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1189 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1191 shapeType = myShape.ShapeType();
1192 shapeID = myShapeID;
1194 else if ( n1->getshapeId() == n2->getshapeId() )
1196 shapeID = n2->getshapeId();
1197 shape = GetSubShapeByNode( n1, GetMeshDS() );
1199 else // 2 different shapes
1201 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1202 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1204 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1208 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1211 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1213 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1214 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1215 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1216 if ( IsSubShape( S, F ))
1218 shapeType = TopAbs_FACE;
1219 shapeID = n1->getshapeId();
1223 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1225 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1226 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1227 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1229 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1231 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1232 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1233 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1234 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1236 else // on VERTEX and EDGE
1238 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1239 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1240 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1241 if ( IsSubShape( V, E ))
1244 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1248 if ( !shape.IsNull() )
1251 shapeID = GetMeshDS()->ShapeToIndex( shape );
1252 shapeType = shape.ShapeType(); // EDGE or FACE
1254 if ( expectedSupport < shapeType &&
1255 expectedSupport != TopAbs_SHAPE &&
1256 !myShape.IsNull() &&
1257 myShape.ShapeType() == expectedSupport )
1259 // e.g. a side of triangle connects nodes on the same EDGE but does not
1260 // lie on this EDGE (an arc with a coarse mesh)
1261 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1262 // hope that myShape is a right shape, return it if the found shape
1263 // has converted elements of corresponding dim (segments in our example)
1264 int nbConvertedElems = 0;
1265 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1266 for ( int iN = 0; iN < 2; ++iN )
1268 const SMDS_MeshNode* n = iN ? n2 : n1;
1269 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1270 while ( it->more() )
1272 const SMDS_MeshElement* elem = it->next();
1273 if ( elem->getshapeId() == shapeID &&
1274 elem->IsQuadratic() )
1281 if ( nbConvertedElems == 2 )
1283 shapeType = myShape.ShapeType();
1284 shapeID = myShapeID;
1288 return make_pair( shapeID, shapeType );
1291 //=======================================================================
1292 //function : GetCentralNode
1293 //purpose : Return existing or create a new central node for a quardilateral
1294 // quadratic face given its 8 nodes.
1295 //@param : force3d - true means node creation in between the given nodes,
1296 // else node position is found on a geometrical face if any.
1297 //=======================================================================
1299 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1300 const SMDS_MeshNode* n2,
1301 const SMDS_MeshNode* n3,
1302 const SMDS_MeshNode* n4,
1303 const SMDS_MeshNode* n12,
1304 const SMDS_MeshNode* n23,
1305 const SMDS_MeshNode* n34,
1306 const SMDS_MeshNode* n41,
1309 SMDS_MeshNode *centralNode = 0; // central node to return
1311 // Find an existing central node
1313 TBiQuad keyOfMap(n1,n2,n3,n4);
1314 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1315 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1316 if ( itMapCentralNode != myMapWithCentralNode.end() )
1318 return (*itMapCentralNode).second;
1321 // Get type of shape for the new central node
1323 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1327 TopTools_ListIteratorOfListOfShape it;
1329 std::map< int, int > faceId2nbNodes;
1330 std::map< int, int > ::iterator itMapWithIdFace;
1332 SMESHDS_Mesh* meshDS = GetMeshDS();
1334 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1335 // on sub-shapes of the FACE
1336 if ( GetMesh()->HasShapeToMesh() )
1338 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1339 for(int i = 0; i < 4; i++)
1341 shape = GetSubShapeByNode( nodes[i], meshDS );
1342 if ( shape.IsNull() ) break;
1343 if ( shape.ShapeType() == TopAbs_SOLID )
1345 solidID = nodes[i]->getshapeId();
1346 shapeType = TopAbs_SOLID;
1349 if ( shape.ShapeType() == TopAbs_FACE )
1351 faceID = nodes[i]->getshapeId();
1352 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1353 itMapWithIdFace->second++;
1357 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1358 while ( const TopoDS_Shape* face = it->next() )
1360 faceID = meshDS->ShapeToIndex( *face );
1361 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1362 itMapWithIdFace->second++;
1367 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1369 // find ID of the FACE the four corner nodes belong to
1370 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1371 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1372 itMapWithIdFace->second == 4 )
1374 shapeType = TopAbs_FACE;
1379 itMapWithIdFace = faceId2nbNodes.begin();
1380 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1382 if ( itMapWithIdFace->second == 4 )
1384 shapeType = TopAbs_FACE;
1385 faceID = (*itMapWithIdFace).first;
1393 if ( shapeType == TopAbs_FACE )
1395 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1402 bool toCheck = true;
1403 if ( !F.IsNull() && !force3d )
1405 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1406 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1408 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1409 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1410 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1411 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1412 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1413 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1414 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1419 GetNodeUV( F,n1, n3, &toCheck ),
1420 GetNodeUV( F,n2, n4, &toCheck ),
1421 GetNodeUV( F,n3, n1, &toCheck ),
1422 GetNodeUV( F,n4, n2, &toCheck ),
1423 GetNodeUV( F,n12, n3 ),
1424 GetNodeUV( F,n23, n4 ),
1425 GetNodeUV( F,n34, n2 ),
1426 GetNodeUV( F,n41, n2 )
1428 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1430 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1432 P = surface->Value( uvAvg );
1433 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1434 // if ( mySetElemOnShape ) node is not elem!
1435 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1437 else // ( force3d || F.IsNull() )
1439 P = calcTFI (0.5, 0.5,
1440 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1441 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1442 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1443 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1444 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1446 if ( !F.IsNull() ) // force3d
1448 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1449 GetNodeUV(F,n2,n4,&toCheck) +
1450 GetNodeUV(F,n3,n1,&toCheck) +
1451 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1452 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1453 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1455 else if ( solidID > 0 )
1457 meshDS->SetNodeInVolume( centralNode, solidID );
1459 else if ( myShapeID > 0 && mySetElemOnShape )
1461 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1464 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1468 //=======================================================================
1469 //function : GetCentralNode
1470 //purpose : Return existing or create a new central node for a
1471 // quadratic triangle given its 6 nodes.
1472 //@param : force3d - true means node creation in between the given nodes,
1473 // else node position is found on a geometrical face if any.
1474 //=======================================================================
1476 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1477 const SMDS_MeshNode* n2,
1478 const SMDS_MeshNode* n3,
1479 const SMDS_MeshNode* n12,
1480 const SMDS_MeshNode* n23,
1481 const SMDS_MeshNode* n31,
1484 SMDS_MeshNode *centralNode = 0; // central node to return
1486 // Find an existing central node
1488 TBiQuad keyOfMap(n1,n2,n3);
1489 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1490 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1491 if ( itMapCentralNode != myMapWithCentralNode.end() )
1493 return (*itMapCentralNode).second;
1496 // Get type of shape for the new central node
1498 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1502 TopTools_ListIteratorOfListOfShape it;
1504 std::map< int, int > faceId2nbNodes;
1505 std::map< int, int > ::iterator itMapWithIdFace;
1507 SMESHDS_Mesh* meshDS = GetMeshDS();
1509 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1510 // on sub-shapes of the FACE
1511 if ( GetMesh()->HasShapeToMesh() )
1513 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1514 for(int i = 0; i < 3; i++)
1516 shape = GetSubShapeByNode( nodes[i], meshDS );
1517 if ( shape.IsNull() ) break;
1518 if ( shape.ShapeType() == TopAbs_SOLID )
1520 solidID = nodes[i]->getshapeId();
1521 shapeType = TopAbs_SOLID;
1524 if ( shape.ShapeType() == TopAbs_FACE )
1526 faceID = nodes[i]->getshapeId();
1527 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1528 itMapWithIdFace->second++;
1532 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1533 while ( const TopoDS_Shape* face = it->next() )
1535 faceID = meshDS->ShapeToIndex( *face );
1536 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1537 itMapWithIdFace->second++;
1542 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1544 // find ID of the FACE the four corner nodes belong to
1545 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1546 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1547 itMapWithIdFace->second == 4 )
1549 shapeType = TopAbs_FACE;
1554 itMapWithIdFace = faceId2nbNodes.begin();
1555 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1557 if ( itMapWithIdFace->second == 3 )
1559 shapeType = TopAbs_FACE;
1560 faceID = (*itMapWithIdFace).first;
1570 if ( shapeType == TopAbs_FACE )
1572 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1573 bool checkOK = true, badTria = false;
1575 GetNodeUV( F, n1, n23, &checkOK ),
1576 GetNodeUV( F, n2, n31, &checkOK ),
1577 GetNodeUV( F, n3, n12, &checkOK ),
1578 GetNodeUV( F, n12, n3, &checkOK ),
1579 GetNodeUV( F, n23, n1, &checkOK ),
1580 GetNodeUV( F, n31, n2, &checkOK )
1582 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1584 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1586 if ( badTria || !checkOK )
1590 // Create a central node
1593 if ( !F.IsNull() && !force3d )
1595 TopLoc_Location loc;
1596 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1597 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1598 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1599 // if ( mySetElemOnShape ) node is not elem!
1600 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1602 else // ( force3d || F.IsNull() )
1604 P = ( SMESH_TNodeXYZ( n12 ) +
1605 SMESH_TNodeXYZ( n23 ) +
1606 SMESH_TNodeXYZ( n31 ) ) / 3;
1607 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1609 if ( !F.IsNull() ) // force3d
1611 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1613 else if ( solidID > 0 )
1615 meshDS->SetNodeInVolume( centralNode, solidID );
1617 else if ( myShapeID > 0 && mySetElemOnShape )
1619 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1622 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1626 //=======================================================================
1627 //function : GetMediumNode
1628 //purpose : Return existing or create a new medium node between given ones
1629 //=======================================================================
1631 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1632 const SMDS_MeshNode* n2,
1634 TopAbs_ShapeEnum expectedSupport)
1636 // Find existing node
1638 SMESH_TLink link(n1,n2);
1639 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1640 if ( itLN != myTLinkNodeMap.end() ) {
1641 return (*itLN).second;
1644 // Create medium node
1647 SMESHDS_Mesh* meshDS = GetMeshDS();
1649 if ( IsSeamShape( n1->getshapeId() ))
1650 // to get a correct UV of a node on seam, the second node must have checked UV
1651 std::swap( n1, n2 );
1653 // get type of shape for the new medium node
1654 int faceID = -1, edgeID = -1;
1655 TopoDS_Edge E; double u [2] = {0.,0.};
1656 TopoDS_Face F; gp_XY uv[2];
1657 bool uvOK[2] = { true, true };
1658 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1660 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1662 // get positions of the given nodes on shapes
1663 if ( pos.second == TopAbs_FACE )
1665 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1666 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1668 ( HasDegeneratedEdges() || GetSurface( F )->HasSingularities( 1e-7 )))
1670 // IPAL52850 (degen VERTEX not at singularity)
1671 // project middle point to a surface
1672 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1673 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1674 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
1677 uvMid = projector->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1679 uvMid = projector->ValueOfUV( pMid, getFaceMaxTol( F ));
1680 if ( projector->Gap() * projector->Gap() < ( p1 - p2 ).SquareModulus() / 4 )
1682 gp_Pnt pProj = projector->Value( uvMid );
1683 n12 = meshDS->AddNode( pProj.X(), pProj.Y(), pProj.Z() );
1684 meshDS->SetNodeOnFace( n12, faceID, uvMid.X(), uvMid.Y() );
1685 myTLinkNodeMap.insert( make_pair ( link, n12 ));
1689 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1691 else if ( pos.second == TopAbs_EDGE )
1693 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1694 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1695 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1696 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1697 n1->getshapeId() != n2->getshapeId() )
1700 return getMediumNodeOnComposedWire(n1,n2,force3d);
1702 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1704 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1705 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1707 catch ( Standard_Failure& f )
1709 // issue 22502 / a node is on VERTEX not belonging to E
1710 // issue 22568 / both nodes are on non-connected VERTEXes
1711 return getMediumNodeOnComposedWire(n1,n2,force3d);
1715 if ( !force3d & uvOK[0] && uvOK[1] )
1717 // we try to create medium node using UV parameters of
1718 // nodes, else - medium between corresponding 3d points
1721 //if ( uvOK[0] && uvOK[1] )
1723 if ( IsDegenShape( n1->getshapeId() )) {
1724 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1725 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1727 else if ( IsDegenShape( n2->getshapeId() )) {
1728 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1729 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1731 TopLoc_Location loc;
1732 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1733 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1734 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1735 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1736 // if ( mySetElemOnShape ) node is not elem!
1737 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1738 myTLinkNodeMap.insert(make_pair(link,n12));
1742 else if ( !E.IsNull() )
1745 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1748 Standard_Boolean isPeriodic = C->IsPeriodic();
1751 Standard_Real Period = C->Period();
1752 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1753 Standard_Real pmid = (u[0]+p)/2.;
1754 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1759 gp_Pnt P = C->Value( U );
1760 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1761 //if ( mySetElemOnShape ) node is not elem!
1762 meshDS->SetNodeOnEdge(n12, edgeID, U);
1763 myTLinkNodeMap.insert(make_pair(link,n12));
1770 double x = ( n1->X() + n2->X() )/2.;
1771 double y = ( n1->Y() + n2->Y() )/2.;
1772 double z = ( n1->Z() + n2->Z() )/2.;
1773 n12 = meshDS->AddNode(x,y,z);
1775 //if ( mySetElemOnShape ) node is not elem!
1779 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1780 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1781 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1783 else if ( !E.IsNull() )
1785 double U = ( u[0] + u[1] ) / 2.;
1786 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1787 meshDS->SetNodeOnEdge(n12, edgeID, U);
1789 else if ( myShapeID > 0 && mySetElemOnShape )
1791 meshDS->SetMeshElementOnShape(n12, myShapeID);
1795 myTLinkNodeMap.insert( make_pair( link, n12 ));
1799 //================================================================================
1801 * \brief Makes a medium node if nodes reside different edges
1803 //================================================================================
1805 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1806 const SMDS_MeshNode* n2,
1809 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1810 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1811 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1813 // To find position on edge and 3D position for n12,
1814 // project <middle> to 2 edges and select projection most close to <middle>
1816 TopoDS_Edge bestEdge;
1817 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1819 // get shapes under the nodes
1820 TopoDS_Shape shape[2];
1822 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1824 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1825 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1827 shape[ nbShapes++ ] = S;
1830 vector< TopoDS_Shape > edges;
1831 for ( int iS = 0; iS < nbShapes; ++iS )
1833 switch ( shape[iS].ShapeType() ) {
1836 edges.push_back( shape[iS] );
1842 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1843 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1845 if ( edge.IsNull() )
1847 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1848 while( const TopoDS_Shape* e = eIt->next() )
1849 edges.push_back( *e );
1855 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1856 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1857 edges.push_back( e.Current() );
1864 // project to get U of projection and distance from middle to projection
1865 for ( size_t iE = 0; iE < edges.size(); ++iE )
1867 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1868 distXYZ[0] = distMiddleProj;
1870 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1871 if ( distXYZ[0] < distMiddleProj )
1873 distMiddleProj = distXYZ[0];
1879 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1880 // TopoDS_Vertex vCommon;
1881 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1882 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1885 // double f,l, u0 = GetNodeU( edges[0], n1 );
1886 // BRep_Tool::Range( edges[0],f,l );
1887 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1890 // distMiddleProj = 0;
1893 if ( !bestEdge.IsNull() )
1895 // move n12 to position of a successful projection
1896 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1897 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1899 TopLoc_Location loc;
1900 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1901 gp_Pnt p = curve->Value( u ).Transformed( loc );
1902 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1904 //if ( mySetElemOnShape ) node is not elem!
1906 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1907 if ( edgeID != n12->getshapeId() )
1908 GetMeshDS()->UnSetNodeOnShape( n12 );
1909 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1912 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1917 //=======================================================================
1918 //function : AddNode
1919 //purpose : Creates a node
1920 //=======================================================================
1922 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1925 SMESHDS_Mesh * meshDS = GetMeshDS();
1926 SMDS_MeshNode* node = 0;
1928 node = meshDS->AddNodeWithID( x, y, z, ID );
1930 node = meshDS->AddNode( x, y, z );
1931 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1932 switch ( myShape.ShapeType() ) {
1933 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1934 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1935 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1936 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1937 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1944 //=======================================================================
1945 //function : AddEdge
1946 //purpose : Creates quadratic or linear edge
1947 //=======================================================================
1949 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1950 const SMDS_MeshNode* n2,
1954 SMESHDS_Mesh * meshDS = GetMeshDS();
1956 SMDS_MeshEdge* edge = 0;
1957 if (myCreateQuadratic) {
1958 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1960 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1962 edge = meshDS->AddEdge(n1, n2, n12);
1966 edge = meshDS->AddEdgeWithID(n1, n2, id);
1968 edge = meshDS->AddEdge(n1, n2);
1971 if ( mySetElemOnShape && myShapeID > 0 )
1972 meshDS->SetMeshElementOnShape( edge, myShapeID );
1977 //=======================================================================
1978 //function : AddFace
1979 //purpose : Creates quadratic or linear triangle
1980 //=======================================================================
1982 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1983 const SMDS_MeshNode* n2,
1984 const SMDS_MeshNode* n3,
1988 SMESHDS_Mesh * meshDS = GetMeshDS();
1989 SMDS_MeshFace* elem = 0;
1991 if( n1==n2 || n2==n3 || n3==n1 )
1994 if(!myCreateQuadratic) {
1996 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1998 elem = meshDS->AddFace(n1, n2, n3);
2001 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2002 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2003 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
2004 if(myCreateBiQuadratic)
2006 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
2008 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
2010 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
2015 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
2017 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
2020 if ( mySetElemOnShape && myShapeID > 0 )
2021 meshDS->SetMeshElementOnShape( elem, myShapeID );
2026 //=======================================================================
2027 //function : AddFace
2028 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
2029 //=======================================================================
2031 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2032 const SMDS_MeshNode* n2,
2033 const SMDS_MeshNode* n3,
2034 const SMDS_MeshNode* n4,
2038 SMESHDS_Mesh * meshDS = GetMeshDS();
2039 SMDS_MeshFace* elem = 0;
2042 return AddFace(n1,n3,n4,id,force3d);
2045 return AddFace(n1,n2,n4,id,force3d);
2048 return AddFace(n1,n2,n3,id,force3d);
2051 return AddFace(n1,n2,n4,id,force3d);
2054 return AddFace(n1,n2,n3,id,force3d);
2057 return AddFace(n1,n2,n3,id,force3d);
2060 if(!myCreateQuadratic) {
2062 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2064 elem = meshDS->AddFace(n1, n2, n3, n4);
2067 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2068 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2069 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2070 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2071 if(myCreateBiQuadratic)
2073 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2075 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2077 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2082 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2084 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2087 if ( mySetElemOnShape && myShapeID > 0 )
2088 meshDS->SetMeshElementOnShape( elem, myShapeID );
2093 //=======================================================================
2094 //function : AddPolygonalFace
2095 //purpose : Creates polygon, with additional nodes in quadratic mesh
2096 //=======================================================================
2098 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2102 SMESHDS_Mesh * meshDS = GetMeshDS();
2103 SMDS_MeshFace* elem = 0;
2105 if(!myCreateQuadratic)
2108 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2110 elem = meshDS->AddPolygonalFace(nodes);
2114 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2116 for ( size_t i = 0; i < nodes.size(); ++i )
2118 const SMDS_MeshNode* n1 = nodes[i];
2119 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2120 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2121 newNodes.push_back( n12 );
2124 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2126 elem = meshDS->AddQuadPolygonalFace(newNodes);
2128 if ( mySetElemOnShape && myShapeID > 0 )
2129 meshDS->SetMeshElementOnShape( elem, myShapeID );
2134 //=======================================================================
2135 //function : AddVolume
2136 //purpose : Creates quadratic or linear prism
2137 //=======================================================================
2139 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2140 const SMDS_MeshNode* n2,
2141 const SMDS_MeshNode* n3,
2142 const SMDS_MeshNode* n4,
2143 const SMDS_MeshNode* n5,
2144 const SMDS_MeshNode* n6,
2148 SMESHDS_Mesh * meshDS = GetMeshDS();
2149 SMDS_MeshVolume* elem = 0;
2150 if(!myCreateQuadratic) {
2152 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2154 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2157 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2158 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2159 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2161 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2162 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2163 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2165 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2166 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2167 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2168 if ( myCreateBiQuadratic )
2170 const SMDS_MeshNode* n1245 = GetCentralNode( n1,n2,n4,n5,n12,n25,n45,n14,force3d );
2171 const SMDS_MeshNode* n1346 = GetCentralNode( n1,n3,n4,n6,n31,n36,n64,n14,force3d );
2172 const SMDS_MeshNode* n2356 = GetCentralNode( n2,n3,n6,n5,n23,n36,n56,n25,force3d );
2175 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2176 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2177 n1245, n2356, n1346, id);
2179 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2180 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2181 n1245, n2356, n1346);
2186 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2187 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2189 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2190 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2193 if ( mySetElemOnShape && myShapeID > 0 )
2194 meshDS->SetMeshElementOnShape( elem, myShapeID );
2199 //=======================================================================
2200 //function : AddVolume
2201 //purpose : Creates quadratic or linear tetrahedron
2202 //=======================================================================
2204 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2205 const SMDS_MeshNode* n2,
2206 const SMDS_MeshNode* n3,
2207 const SMDS_MeshNode* n4,
2211 SMESHDS_Mesh * meshDS = GetMeshDS();
2212 SMDS_MeshVolume* elem = 0;
2213 if(!myCreateQuadratic) {
2215 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2217 elem = meshDS->AddVolume(n1, n2, n3, n4);
2220 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2221 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2222 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2224 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2225 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2226 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2229 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2231 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2233 if ( mySetElemOnShape && myShapeID > 0 )
2234 meshDS->SetMeshElementOnShape( elem, myShapeID );
2239 //=======================================================================
2240 //function : AddVolume
2241 //purpose : Creates quadratic or linear pyramid
2242 //=======================================================================
2244 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2245 const SMDS_MeshNode* n2,
2246 const SMDS_MeshNode* n3,
2247 const SMDS_MeshNode* n4,
2248 const SMDS_MeshNode* n5,
2252 SMDS_MeshVolume* elem = 0;
2253 if(!myCreateQuadratic) {
2255 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2257 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2260 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2261 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2262 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2263 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2265 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2266 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2267 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2268 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2271 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2276 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2278 n15, n25, n35, n45);
2280 if ( mySetElemOnShape && myShapeID > 0 )
2281 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2286 //=======================================================================
2287 //function : AddVolume
2288 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2289 //=======================================================================
2291 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2292 const SMDS_MeshNode* n2,
2293 const SMDS_MeshNode* n3,
2294 const SMDS_MeshNode* n4,
2295 const SMDS_MeshNode* n5,
2296 const SMDS_MeshNode* n6,
2297 const SMDS_MeshNode* n7,
2298 const SMDS_MeshNode* n8,
2302 SMESHDS_Mesh * meshDS = GetMeshDS();
2303 SMDS_MeshVolume* elem = 0;
2304 if(!myCreateQuadratic) {
2306 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2308 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2311 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2312 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2313 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2314 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2316 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2317 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2318 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2319 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2321 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2322 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2323 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2324 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2325 if ( myCreateBiQuadratic )
2327 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2328 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2329 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2330 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2331 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2332 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2334 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2336 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2337 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2338 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2339 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2340 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2341 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2342 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2343 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2345 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2346 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2347 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2348 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2349 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2350 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2351 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2352 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2353 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2354 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2355 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2356 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2358 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2359 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2360 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2361 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2362 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2363 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2365 gp_XYZ centerCube(0.5, 0.5, 0.5);
2367 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2368 const SMDS_MeshNode* nCenter =
2369 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2370 meshDS->SetNodeInVolume( nCenter, myShapeID );
2373 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2374 n12, n23, n34, n41, n56, n67,
2375 n78, n85, n15, n26, n37, n48,
2376 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2378 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2379 n12, n23, n34, n41, n56, n67,
2380 n78, n85, n15, n26, n37, n48,
2381 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2386 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2387 n12, n23, n34, n41, n56, n67,
2388 n78, n85, n15, n26, n37, n48, id);
2390 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2391 n12, n23, n34, n41, n56, n67,
2392 n78, n85, n15, n26, n37, n48);
2395 if ( mySetElemOnShape && myShapeID > 0 )
2396 meshDS->SetMeshElementOnShape( elem, myShapeID );
2401 //=======================================================================
2402 //function : AddVolume
2403 //purpose : Creates LINEAR!!!!!!!!! octahedron
2404 //=======================================================================
2406 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2407 const SMDS_MeshNode* n2,
2408 const SMDS_MeshNode* n3,
2409 const SMDS_MeshNode* n4,
2410 const SMDS_MeshNode* n5,
2411 const SMDS_MeshNode* n6,
2412 const SMDS_MeshNode* n7,
2413 const SMDS_MeshNode* n8,
2414 const SMDS_MeshNode* n9,
2415 const SMDS_MeshNode* n10,
2416 const SMDS_MeshNode* n11,
2417 const SMDS_MeshNode* n12,
2421 SMESHDS_Mesh * meshDS = GetMeshDS();
2422 SMDS_MeshVolume* elem = 0;
2424 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2426 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2427 if ( mySetElemOnShape && myShapeID > 0 )
2428 meshDS->SetMeshElementOnShape( elem, myShapeID );
2432 //=======================================================================
2433 //function : AddPolyhedralVolume
2434 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2435 //=======================================================================
2438 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2439 const std::vector<int>& quantities,
2443 SMESHDS_Mesh * meshDS = GetMeshDS();
2444 SMDS_MeshVolume* elem = 0;
2445 if(!myCreateQuadratic)
2448 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2450 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2454 vector<const SMDS_MeshNode*> newNodes;
2455 vector<int> newQuantities;
2456 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2458 int nbNodesInFace = quantities[iFace];
2459 newQuantities.push_back(0);
2460 for ( int i = 0; i < nbNodesInFace; ++i )
2462 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2463 newNodes.push_back( n1 );
2464 newQuantities.back()++;
2466 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2467 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2468 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2470 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2471 newNodes.push_back( n12 );
2472 newQuantities.back()++;
2475 iN += nbNodesInFace;
2478 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2480 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2482 if ( mySetElemOnShape && myShapeID > 0 )
2483 meshDS->SetMeshElementOnShape( elem, myShapeID );
2490 //================================================================================
2492 * \brief Check if a node belongs to any face of sub-mesh
2494 //================================================================================
2496 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2498 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2499 while ( fIt->more() )
2500 if ( sm->Contains( fIt->next() ))
2506 //=======================================================================
2507 //function : IsSameElemGeometry
2508 //purpose : Returns true if all elements of a sub-mesh are of same shape
2509 //=======================================================================
2511 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2512 SMDSAbs_GeometryType shape,
2513 const bool nullSubMeshRes)
2515 if ( !smDS ) return nullSubMeshRes;
2517 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2518 while ( elemIt->more() ) {
2519 const SMDS_MeshElement* e = elemIt->next();
2520 if ( e->GetGeomType() != shape )
2526 //=======================================================================
2527 //function : LoadNodeColumns
2528 //purpose : Load nodes bound to face into a map of node columns
2529 //=======================================================================
2531 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2532 const TopoDS_Face& theFace,
2533 const TopoDS_Edge& theBaseEdge,
2534 SMESHDS_Mesh* theMesh,
2535 SMESH_ProxyMesh* theProxyMesh)
2537 return LoadNodeColumns(theParam2ColumnMap,
2539 std::list<TopoDS_Edge>(1,theBaseEdge),
2544 //=======================================================================
2545 //function : LoadNodeColumns
2546 //purpose : Load nodes bound to face into a map of node columns
2547 //=======================================================================
2549 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2550 const TopoDS_Face& theFace,
2551 const std::list<TopoDS_Edge>& theBaseSide,
2552 SMESHDS_Mesh* theMesh,
2553 SMESH_ProxyMesh* theProxyMesh)
2555 // get a right sub-mesh of theFace
2557 const SMESHDS_SubMesh* faceSubMesh = 0;
2560 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2561 if ( !faceSubMesh ||
2562 faceSubMesh->NbElements() == 0 ||
2563 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2565 // can use a proxy sub-mesh with not temporary elements only
2571 faceSubMesh = theMesh->MeshElements( theFace );
2572 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2575 if ( theParam2ColumnMap.empty() )
2577 // get data of edges for normalization of params
2578 vector< double > length;
2580 list<TopoDS_Edge>::const_iterator edge;
2582 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2584 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2586 length.push_back( len );
2590 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2591 const SMDS_MeshNode* prevEndNodes[2] = { 0, 0 };
2592 edge = theBaseSide.begin();
2593 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2595 map< double, const SMDS_MeshNode*> sortedBaseNN;
2596 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2598 map< double, const SMDS_MeshNode*>::iterator u_n;
2599 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2600 // so the following solution is commented (hope forever :)
2602 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2603 // // SMDSAbs_Edge here is needed to be coherent with
2604 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2605 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2606 // // medium node on EDGE is medium in a triangle but not
2609 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2610 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2611 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2613 // const SMDS_MeshNode* node = u_n->second;
2614 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2615 // if ( faceIt->more() && node ) {
2616 // const SMDS_MeshElement* face = faceIt->next();
2617 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2621 // sortedBaseNN.erase( u_n++ );
2625 if ( sortedBaseNN.empty() ) continue;
2627 u_n = sortedBaseNN.begin();
2628 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2630 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2631 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2632 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2633 n2 != theProxyMesh->GetProxyNode( n2 ));
2634 if ( allNodesAreProxy )
2635 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2636 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2638 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2640 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2641 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2643 if ( !sortedBaseNN.empty() )
2644 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2646 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2647 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2649 if ( sortedBaseNN.empty() ) continue;
2653 BRep_Tool::Range( *edge, f, l );
2654 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2655 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2656 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2657 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2659 if ( u_n->second == prevEndNodes[0] ||
2660 u_n->second == prevEndNodes[1] )
2662 double par = prevPar + coeff * ( u_n->first - f );
2663 TParam2ColumnMap::iterator u2nn =
2664 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2665 u2nn->second.push_back( u_n->second );
2667 prevEndNodes[0] = sortedBaseNN.begin()->second;
2668 prevEndNodes[1] = sortedBaseNN.rbegin()->second;
2670 if ( theParam2ColumnMap.size() < 2 )
2675 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2676 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2678 // fill theParam2ColumnMap column by column by passing from nodes on
2679 // theBaseEdge up via mesh faces on theFace
2681 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2682 par_nVec_2 = theParam2ColumnMap.begin();
2683 par_nVec_1 = par_nVec_2++;
2684 TIDSortedElemSet emptySet, avoidSet;
2685 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2687 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2688 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2689 nCol1.resize( prevNbRows + expectNbRows );
2690 nCol2.resize( prevNbRows + expectNbRows );
2692 int i1, i2; size_t foundNbRows = 0;
2693 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2694 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2695 // find face sharing node n1 and n2 and belonging to faceSubMesh
2696 while ( const SMDS_MeshElement* face =
2697 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2699 if ( faceSubMesh->Contains( face ))
2701 int nbNodes = face->NbCornerNodes();
2704 if ( foundNbRows + 1 > expectNbRows )
2706 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2707 n2 = face->GetNode( (i1+2) % 4 );
2708 nCol1[ prevNbRows + foundNbRows] = n1;
2709 nCol2[ prevNbRows + foundNbRows] = n2;
2712 avoidSet.insert( face );
2714 if ((size_t) foundNbRows != expectNbRows )
2718 return ( theParam2ColumnMap.size() > 1 &&
2719 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2724 //================================================================================
2726 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2728 //================================================================================
2730 bool isCornerOfStructure( const SMDS_MeshNode* n,
2731 const SMESHDS_SubMesh* faceSM,
2732 SMESH_MesherHelper& faceAnalyser )
2734 int nbFacesInSM = 0;
2736 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2737 while ( fIt->more() )
2738 nbFacesInSM += faceSM->Contains( fIt->next() );
2740 if ( nbFacesInSM == 1 )
2743 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2745 return faceAnalyser.IsRealSeam( n->getshapeId() );
2751 //=======================================================================
2752 //function : IsStructured
2753 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2754 //=======================================================================
2756 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2758 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2759 if ( !fSM || fSM->NbElements() == 0 )
2762 list< TopoDS_Edge > edges;
2763 list< int > nbEdgesInWires;
2764 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2765 edges, nbEdgesInWires );
2766 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2769 // algo: find corners of a structure and then analyze nb of faces and
2770 // length of structure sides
2772 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2773 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2774 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2776 // rotate edges to get the first node being at corner
2777 // (in principle it's not necessary because so far none SALOME algo can make
2778 // such a structured mesh that all corner nodes are not on VERTEXes)
2779 bool isCorner = false;
2780 int nbRemainEdges = nbEdgesInWires.front();
2782 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2783 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2786 edges.splice( edges.end(), edges, edges.begin() );
2790 while ( !isCorner && nbRemainEdges > 0 );
2795 // get all nodes from EDGEs
2796 list< const SMDS_MeshNode* > nodes;
2797 list< TopoDS_Edge >::iterator edge = edges.begin();
2798 for ( ; edge != edges.end(); ++edge )
2800 map< double, const SMDS_MeshNode* > u2Nodes;
2801 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2802 /*skipMedium=*/true, u2Nodes ))
2805 list< const SMDS_MeshNode* > edgeNodes;
2806 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2807 for ( ; u2n != u2Nodes.end(); ++u2n )
2808 edgeNodes.push_back( u2n->second );
2809 if ( edge->Orientation() == TopAbs_REVERSED )
2810 edgeNodes.reverse();
2812 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2813 edgeNodes.pop_front();
2814 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2817 // get length of structured sides
2818 vector<int> nbEdgesInSide;
2820 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2821 for ( ; n != nodes.end(); ++n )
2824 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2825 nbEdgesInSide.push_back( nbEdges );
2831 if ( nbEdgesInSide.size() != 4 )
2833 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2835 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2837 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2843 //=======================================================================
2844 //function : IsDistorted2D
2845 //purpose : Return true if 2D mesh on FACE is ditorted
2846 //=======================================================================
2848 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2850 SMESH_MesherHelper* faceHelper)
2852 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2855 bool haveBadFaces = false;
2857 SMESH_MesherHelper helper( *faceSM->GetFather() );
2859 helper.CopySubShapeInfo( *faceHelper );
2860 helper.SetSubShape( faceSM->GetSubShape() );
2862 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2863 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2864 if ( !smDS || smDS->NbElements() == 0 ) return false;
2866 bool subIdsValid = true; // shape ID of nodes is OK
2867 if ( helper.HasSeam() )
2869 // check if nodes are bound to seam edges
2870 SMESH_subMeshIteratorPtr smIt = faceSM->getDependsOnIterator(/*includeSelf=*/false);
2871 while ( smIt->more() && subIdsValid )
2873 SMESH_subMesh* sm = smIt->next();
2874 if ( helper.IsSeamShape( sm->GetId() ) && sm->IsEmpty() )
2875 subIdsValid = false;
2878 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2879 double prevArea = 0;
2880 vector< const SMDS_MeshNode* > nodes;
2882 bool* toCheckUV = checkUV ? & checkUV : 0;
2883 while ( faceIt->more() && !haveBadFaces )
2885 const SMDS_MeshElement* face = faceIt->next();
2888 nodes.resize( face->NbCornerNodes() );
2889 SMDS_MeshElement::iterator n = face->begin_nodes();
2890 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2893 // avoid elems on degenerate shapes as UV on them can be wrong
2894 if ( helper.HasDegeneratedEdges() )
2896 bool isOnDegen = false;
2897 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2898 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2902 // prepare for getting UVs
2903 const SMDS_MeshNode* inFaceNode = 0;
2904 if ( helper.HasSeam() ) {
2905 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2906 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2908 inFaceNode = nodes[ i ];
2911 gp_XY uv = helper.GetNodeUV( F, inFaceNode );
2912 if ( helper.IsOnSeam( uv ))
2920 uv.resize( nodes.size() );
2921 for ( size_t i = 0; i < nodes.size(); ++i )
2922 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2924 if ( !subIdsValid ) // fix uv on seam
2926 gp_XY uvInFace = helper.GetNodeUV( F, inFaceNode );
2927 for ( size_t i = 0; i < uv.size(); ++i )
2928 if ( helper.IsOnSeam( uv[i] ))
2929 uv[i] = helper.getUVOnSeam( uv[i], uvInFace ).XY();
2932 // compare orientation of triangles
2933 double faceArea = 0;
2934 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2936 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2937 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2938 faceArea += v2 ^ v1;
2940 haveBadFaces = ( faceArea * prevArea < 0 );
2941 prevArea = faceArea;
2944 return haveBadFaces;
2947 //================================================================================
2949 * \brief Find out elements orientation on a geometrical face
2950 * \param theFace - The face correctly oriented in the shape being meshed
2951 * \retval bool - true if the face normal and the normal of first element
2952 * in the corresponding submesh point in different directions
2954 //================================================================================
2956 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2958 if ( theFace.IsNull() )
2961 // find out orientation of a meshed face
2962 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2963 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2964 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2966 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2967 if ( !aSubMeshDSFace )
2970 // find an element on a bounday of theFace
2971 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2972 const SMDS_MeshNode* nn[2];
2973 while ( iteratorElem->more() ) // loop on elements on theFace
2975 const SMDS_MeshElement* elem = iteratorElem->next();
2976 if ( ! elem ) continue;
2978 // look for 2 nodes on EDGE
2979 int nbNodes = elem->NbCornerNodes();
2980 nn[0] = elem->GetNode( nbNodes-1 );
2981 for ( int iN = 0; iN < nbNodes; ++iN )
2983 nn[1] = elem->GetNode( iN );
2984 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2985 nn[1]->GetPosition()->GetDim() < 2 )
2987 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2988 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2989 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2990 if ( !E.IsNull() && !s0.IsSame( s1 ) && E.Orientation() != TopAbs_INTERNAL )
2994 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2995 if ( E.IsSame( exp.Current() )) {
2997 E = exp.Current(); // to know orientation
3002 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
3003 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
3006 // check that the 2 nodes are connected with a segment (IPAL53055)
3008 const SMDS_MeshElement* seg;
3009 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
3010 if (( sm->NbElements() > 0 ) &&
3011 ( seg = GetMeshDS()->FindEdge( nn[0], nn[1] )))
3012 ok = sm->Contains( seg );
3016 isReversed = ( u0 > u1 );
3017 if ( E.Orientation() == TopAbs_REVERSED )
3018 isReversed = !isReversed;
3028 // find an element with a good normal
3030 bool normalOK = false;
3032 iteratorElem = aSubMeshDSFace->GetElements();
3033 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
3035 const SMDS_MeshElement* elem = iteratorElem->next();
3036 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
3040 // get UV of a node inside theFACE
3041 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
3042 const SMDS_MeshNode* nInFace = 0;
3043 int iPosDim = SMDS_TOP_VERTEX;
3044 while ( nodesIt->more() ) // loop on nodes
3046 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
3047 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
3050 iPosDim = n->GetPosition()->GetTypeOfPosition();
3053 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
3058 // face normal at node position
3059 TopLoc_Location loc;
3060 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
3061 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
3062 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
3063 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
3066 gp_Vec d1u, d1v; gp_Pnt p;
3067 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
3068 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
3070 if ( theFace.Orientation() == TopAbs_REVERSED )
3073 return Ne * Nf < 0.;
3076 //=======================================================================
3078 //purpose : Count nb of sub-shapes
3079 //=======================================================================
3081 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
3082 const TopAbs_ShapeEnum type,
3083 const bool ignoreSame)
3086 TopTools_IndexedMapOfShape map;
3087 TopExp::MapShapes( shape, type, map );
3088 return map.Extent();
3092 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
3098 //=======================================================================
3099 //function : NbAncestors
3100 //purpose : Return number of unique ancestors of the shape
3101 //=======================================================================
3103 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3104 const SMESH_Mesh& mesh,
3105 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3107 TopTools_MapOfShape ancestors;
3108 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3109 for ( ; ansIt.More(); ansIt.Next() ) {
3110 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3111 ancestors.Add( ansIt.Value() );
3113 return ancestors.Extent();
3116 //=======================================================================
3117 //function : GetSubShapeOri
3118 //purpose : Return orientation of sub-shape in the main shape
3119 //=======================================================================
3121 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3122 const TopoDS_Shape& subShape)
3124 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3125 if ( !shape.IsNull() && !subShape.IsNull() )
3127 TopExp_Explorer e( shape, subShape.ShapeType() );
3128 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3129 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3130 for ( ; e.More(); e.Next())
3131 if ( subShape.IsSame( e.Current() ))
3134 ori = e.Current().Orientation();
3139 //=======================================================================
3140 //function : IsSubShape
3142 //=======================================================================
3144 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3145 const TopoDS_Shape& mainShape )
3147 if ( !shape.IsNull() && !mainShape.IsNull() )
3149 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3152 if ( shape.IsSame( exp.Current() ))
3158 //=======================================================================
3159 //function : IsSubShape
3161 //=======================================================================
3163 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3165 if ( shape.IsNull() || !aMesh )
3168 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3170 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3173 //=======================================================================
3174 //function : IsBlock
3176 //=======================================================================
3178 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3180 if ( shape.IsNull() )
3184 TopExp_Explorer exp( shape, TopAbs_SHELL );
3185 if ( !exp.More() ) return false;
3186 shell = TopoDS::Shell( exp.Current() );
3187 if ( exp.Next(), exp.More() ) return false;
3190 TopTools_IndexedMapOfOrientedShape map;
3191 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3195 //================================================================================
3197 * \brief Return maximal tolerance of shape
3199 //================================================================================
3201 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3203 double tol = Precision::Confusion();
3204 TopExp_Explorer exp;
3205 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3206 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3207 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3208 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3209 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3210 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3215 //================================================================================
3217 * \brief Return MaxTolerance( face ), probably cached
3219 //================================================================================
3221 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3223 int faceID = GetMeshDS()->ShapeToIndex( face );
3225 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3226 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3228 tol = MaxTolerance( face );
3233 //================================================================================
3235 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3236 * of the FACE normal
3237 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3238 * 1e100 in case of failure
3239 * \warning Care about order of the EDGEs and their orientation to be as they are
3240 * within the FACE! Don't pass degenerated EDGEs neither!
3242 //================================================================================
3244 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3245 const TopoDS_Edge & theE2,
3246 const TopoDS_Face & theFace,
3247 const TopoDS_Vertex & theCommonV,
3248 gp_Vec* theFaceNormal)
3250 double angle = 1e100;
3254 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3255 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3256 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3257 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3258 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3259 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3260 if ( c1.IsNull() || c2.IsNull() )
3262 gp_XY uv = c2d1->Value( p1 ).XY();
3263 gp_Vec du, dv; gp_Pnt p;
3264 surf->D1( uv.X(), uv.Y(), p, du, dv );
3265 gp_Vec vec1, vec2, vecRef = du ^ dv;
3268 while ( vecRef.SquareMagnitude() < 1e-25 )
3270 double dp = ( l - f ) / 1000.;
3271 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3272 uv = c2d1->Value( p1tmp ).XY();
3273 surf->D1( uv.X(), uv.Y(), p, du, dv );
3275 if ( ++nbLoops > 10 )
3278 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3283 if ( theFace.Orientation() == TopAbs_REVERSED )
3285 if ( theFaceNormal ) *theFaceNormal = vecRef;
3287 c1->D1( p1, p, vec1 );
3288 c2->D1( p2, p, vec2 );
3289 // TopoDS_Face F = theFace;
3290 // if ( F.Orientation() == TopAbs_INTERNAL )
3291 // F.Orientation( TopAbs_FORWARD );
3292 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3294 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3296 angle = vec1.AngleWithRef( vec2, vecRef );
3298 if ( Abs ( angle ) >= 0.99 * M_PI )
3300 BRep_Tool::Range( theE1, f, l );
3301 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3302 c1->D1( p1, p, vec1 );
3303 if ( theE1.Orientation() == TopAbs_REVERSED )
3305 BRep_Tool::Range( theE2, f, l );
3306 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3307 c2->D1( p2, p, vec2 );
3308 if ( theE2.Orientation() == TopAbs_REVERSED )
3310 angle = vec1.AngleWithRef( vec2, vecRef );
3319 //================================================================================
3321 * \brief Check if the first and last vertices of an edge are the same
3322 * \param anEdge - the edge to check
3323 * \retval bool - true if same
3325 //================================================================================
3327 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3329 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3330 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3331 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3334 //================================================================================
3336 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3337 * in the case of INTERNAL edge
3339 //================================================================================
3341 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3345 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3346 anEdge.Orientation( TopAbs_FORWARD );
3348 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3349 TopoDS_Iterator vIt( anEdge, CumOri );
3350 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3353 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3356 //================================================================================
3358 * \brief Return type of shape contained in a group
3359 * \param group - a shape of type TopAbs_COMPOUND
3360 * \param avoidCompound - not to return TopAbs_COMPOUND
3362 //================================================================================
3364 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3365 const bool avoidCompound)
3367 if ( !group.IsNull() )
3369 if ( group.ShapeType() != TopAbs_COMPOUND )
3370 return group.ShapeType();
3372 // iterate on a compound
3373 TopoDS_Iterator it( group );
3375 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3377 return TopAbs_SHAPE;
3380 //================================================================================
3382 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3383 * \param [in] hyp - the hypothesis
3384 * \param [in] shape - the shape, for meshing which the \a hyp is used
3385 * \param [in] mesh - the mesh
3386 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3388 //================================================================================
3390 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3391 const TopoDS_Shape& shape,
3394 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3395 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3397 TopoDS_Shape shapeOfHyp;
3398 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3402 //=======================================================================
3403 //function : IsQuadraticMesh
3404 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3405 // quadratic elements will be created.
3406 // Used then generated 3D mesh without geometry.
3407 //=======================================================================
3409 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3411 int NbAllEdgsAndFaces=0;
3412 int NbQuadFacesAndEdgs=0;
3413 int NbFacesAndEdges=0;
3414 //All faces and edges
3415 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3416 if ( NbAllEdgsAndFaces == 0 )
3417 return SMESH_MesherHelper::LINEAR;
3419 //Quadratic faces and edges
3420 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3422 //Linear faces and edges
3423 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3425 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3427 return SMESH_MesherHelper::QUADRATIC;
3429 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3431 return SMESH_MesherHelper::LINEAR;
3434 //Mesh with both type of elements
3435 return SMESH_MesherHelper::COMP;
3438 //=======================================================================
3439 //function : GetOtherParam
3440 //purpose : Return an alternative parameter for a node on seam
3441 //=======================================================================
3443 double SMESH_MesherHelper::GetOtherParam(const double param) const
3445 int i = myParIndex & U_periodic ? 0 : 1;
3446 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3449 //=======================================================================
3450 //function : NbRealSeam
3451 //purpose : Return a number of real seam edges in the shape set through
3452 // IsQuadraticSubMesh() or SetSubShape(). A real seam edge encounters twice in a wire
3453 //=======================================================================
3455 size_t SMESH_MesherHelper::NbRealSeam() const
3459 std::set< int >::const_iterator id = mySeamShapeIds.begin();
3460 for ( ; id != mySeamShapeIds.end(); ++id )
3461 if ( *id < 0 ) ++nb;
3467 //=======================================================================
3468 //function : IsOnSeam
3469 //purpose : Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
3470 //=======================================================================
3472 int SMESH_MesherHelper::IsOnSeam(const gp_XY& uv) const
3474 for ( int i = U_periodic; i <= V_periodic ; ++i )
3475 if ( myParIndex & i )
3477 double p = uv.Coord( i );
3478 double tol = ( myPar2[i-1] - myPar1[i-1] ) / 100.;
3479 if ( Abs( p - myPar1[i-1] ) < tol ||
3480 Abs( p - myPar2[i-1] ) < tol )
3488 //=======================================================================
3490 * \brief Iterator on ancestors of the given type
3492 //=======================================================================
3494 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3496 TopTools_ListIteratorOfListOfShape _ancIter;
3497 TopAbs_ShapeEnum _type;
3498 TopTools_MapOfShape _encountered;
3499 TopTools_IndexedMapOfShape _allowed;
3500 TAncestorsIterator( const TopTools_ListOfShape& ancestors,
3501 TopAbs_ShapeEnum type,
3502 const TopoDS_Shape* container/* = 0*/)
3503 : _ancIter( ancestors ), _type( type )
3505 if ( container && !container->IsNull() )
3506 TopExp::MapShapes( *container, type, _allowed);
3507 if ( _ancIter.More() ) {
3508 if ( !isCurrentAllowed() ) next();
3509 else _encountered.Add( _ancIter.Value() );
3514 return _ancIter.More();
3516 virtual const TopoDS_Shape* next()
3518 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3519 if ( _ancIter.More() )
3520 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3521 if ( isCurrentAllowed() && _encountered.Add( _ancIter.Value() ))
3525 bool isCurrentAllowed()
3527 return (( _ancIter.Value().ShapeType() == _type ) &&
3528 ( _allowed.IsEmpty() || _allowed.Contains( _ancIter.Value() )));
3534 //=======================================================================
3536 * \brief Return iterator on ancestors of the given type, included into a container shape
3538 //=======================================================================
3540 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3541 const SMESH_Mesh& mesh,
3542 TopAbs_ShapeEnum ancestorType,
3543 const TopoDS_Shape* container)
3545 return PShapeIteratorPtr
3546 ( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType, container));
3549 //=======================================================================
3550 //function : GetCommonAncestor
3551 //purpose : Find a common ancestors of two shapes of the given type
3552 //=======================================================================
3554 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3555 const TopoDS_Shape& shape2,
3556 const SMESH_Mesh& mesh,
3557 TopAbs_ShapeEnum ancestorType)
3559 TopoDS_Shape commonAnc;
3560 if ( !shape1.IsNull() && !shape2.IsNull() )
3562 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3564 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3567 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3568 while ( const TopoDS_Shape* anc = ancIt->next() )
3569 if ( IsSubShape( shape2, *anc ))
3578 //#include <Perf_Meter.hxx>
3580 //=======================================================================
3581 namespace { // Structures used by FixQuadraticElements()
3582 //=======================================================================
3584 #define __DMP__(txt) \
3586 #define MSG(txt) __DMP__(txt<<endl)
3587 #define MSGBEG(txt) __DMP__(txt)
3589 //const double straightTol2 = 1e-33; // to detect straing links
3590 bool isStraightLink(double linkLen2, double middleNodeMove2)
3592 // straight if <node move> < 1/15 * <link length>
3593 return middleNodeMove2 < 1/15./15. * linkLen2;
3597 // ---------------------------------------
3599 * \brief Quadratic link knowing its faces
3601 struct QLink: public SMESH_TLink
3603 const SMDS_MeshNode* _mediumNode;
3604 mutable vector<const QFace* > _faces;
3605 mutable gp_Vec _nodeMove;
3606 mutable int _nbMoves;
3607 mutable bool _is2dFixed; // is moved along surface or in 3D
3609 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3610 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3612 _nodeMove = MediumPnt() - MiddlePnt();
3613 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3615 void SetContinuesFaces() const;
3616 const QFace* GetContinuesFace( const QFace* face ) const;
3617 bool OnBoundary() const;
3618 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3619 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3621 SMDS_TypeOfPosition MediumPos() const
3622 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3623 SMDS_TypeOfPosition EndPos(bool isSecond) const
3624 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3625 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3626 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3628 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3629 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3630 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3631 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3632 bool IsFixedOnSurface() const { return _is2dFixed; }
3633 bool IsStraight() const
3634 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3635 _nodeMove.SquareMagnitude());
3637 bool operator<(const QLink& other) const {
3638 return (node1()->GetID() == other.node1()->GetID() ?
3639 node2()->GetID() < other.node2()->GetID() :
3640 node1()->GetID() < other.node1()->GetID());
3642 // struct PtrComparator {
3643 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3646 // ---------------------------------------------------------
3648 * \brief Link in the chain of links; it connects two faces
3652 const QLink* _qlink;
3653 mutable const QFace* _qfaces[2];
3655 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3656 _qfaces[0] = _qfaces[1] = 0;
3658 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3660 bool IsBoundary() const { return !_qfaces[1]; }
3662 void RemoveFace( const QFace* face ) const
3663 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3665 const QFace* NextFace( const QFace* f ) const
3666 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3668 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3669 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3671 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3673 operator bool() const { return (_qlink); }
3675 const QLink* operator->() const { return _qlink; }
3677 gp_Vec Normal() const;
3679 bool IsStraight() const;
3681 // --------------------------------------------------------------------
3682 typedef list< TChainLink > TChain;
3683 typedef set < TChainLink > TLinkSet;
3684 typedef TLinkSet::const_iterator TLinkInSet;
3686 const int theFirstStep = 5;
3688 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3689 // --------------------------------------------------------------------
3691 * \brief Quadratic face shared by two volumes and bound by QLinks
3693 struct QFace: public TIDSortedNodeSet
3695 mutable const SMDS_MeshElement* _volumes[2];
3696 mutable vector< const QLink* > _sides;
3697 mutable bool _sideIsAdded[4]; // added in chain of links
3700 mutable const SMDS_MeshElement* _face;
3703 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3705 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3707 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3709 void AddSelfToLinks() const {
3710 for ( size_t i = 0; i < _sides.size(); ++i )
3711 _sides[i]->_faces.push_back( this );
3713 int LinkIndex( const QLink* side ) const {
3714 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3717 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3719 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3721 int i = LinkIndex( link._qlink );
3722 if ( i < 0 ) return true;
3723 _sideIsAdded[i] = true;
3724 link.SetFace( this );
3725 // continue from opposite link
3726 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3728 bool IsBoundary() const { return !_volumes[1]; }
3730 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3732 bool IsSpoiled(const QLink* bentLink ) const;
3734 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3735 const TChainLink& avoidLink,
3736 TLinkInSet * notBoundaryLink = 0,
3737 const SMDS_MeshNode* nodeToContain = 0,
3738 bool * isAdjacentUsed = 0,
3739 int nbRecursionsLeft = -1) const;
3741 TLinkInSet GetLinkByNode( const TLinkSet& links,
3742 const TChainLink& avoidLink,
3743 const SMDS_MeshNode* nodeToContain) const;
3745 const SMDS_MeshNode* GetNodeInFace() const {
3746 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3747 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3751 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3753 double MoveByBoundary( const TChainLink& theLink,
3754 const gp_Vec& theRefVec,
3755 const TLinkSet& theLinks,
3756 SMESH_MesherHelper* theFaceHelper=0,
3757 const double thePrevLen=0,
3758 const int theStep=theFirstStep,
3759 gp_Vec* theLinkNorm=0,
3760 double theSign=1.0) const;
3763 //================================================================================
3765 * \brief Dump QLink and QFace
3767 ostream& operator << (ostream& out, const QLink& l)
3769 out <<"QLink nodes: "
3770 << l.node1()->GetID() << " - "
3771 << l._mediumNode->GetID() << " - "
3772 << l.node2()->GetID() << endl;
3775 ostream& operator << (ostream& out, const QFace& f)
3777 out <<"QFace nodes: "/*<< &f << " "*/;
3778 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3779 out << (*n)->GetID() << " ";
3780 out << " \tvolumes: "
3781 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3782 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3783 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3787 //================================================================================
3789 * \brief Construct QFace from QLinks
3791 //================================================================================
3793 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3795 _volumes[0] = _volumes[1] = 0;
3797 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3798 _normal.SetCoord(0,0,0);
3799 for ( size_t i = 1; i < _sides.size(); ++i ) {
3800 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3801 insert( l1->node1() ); insert( l1->node2() );
3803 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3804 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3805 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3809 double normSqSize = _normal.SquareMagnitude();
3810 if ( normSqSize > numeric_limits<double>::min() )
3811 _normal /= sqrt( normSqSize );
3813 _normal.SetCoord(1e-33,0,0);
3819 //================================================================================
3821 * \brief Make up a chain of links
3822 * \param iSide - link to add first
3823 * \param chain - chain to fill in
3824 * \param pos - position of medium nodes the links should have
3825 * \param error - out, specifies what is wrong
3826 * \retval bool - false if valid chain can't be built; "valid" means that links
3827 * of the chain belongs to rectangles bounding hexahedrons
3829 //================================================================================
3831 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3833 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3835 if ( _sideIsAdded[ iSide ]) // already in chain
3838 if ( _sides.size() != 4 ) { // triangle - visit all my continuous faces
3841 list< const QFace* > faces( 1, this );
3842 while ( !faces.empty() ) {
3843 const QFace* face = faces.front();
3844 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3845 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3846 face->_sideIsAdded[i] = true;
3847 // find a face side in the chain
3848 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3849 // TChain::iterator chLink = chain.begin();
3850 // for ( ; chLink != chain.end(); ++chLink )
3851 // if ( chLink->_qlink == face->_sides[i] )
3853 // if ( chLink == chain.end() )
3854 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3855 // add a face to a chained link and put a continues face in the queue
3856 chLink->SetFace( face );
3857 if ( face->_sides[i]->MediumPos() == pos )
3858 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3859 if ( contFace->_sides.size() == 3 )
3860 faces.push_back( contFace );
3865 if ( error < ERR_TRI )
3867 chain.insert( chain.end(), links.begin(),links.end() );
3870 _sideIsAdded[iSide] = true; // not to add this link to chain again
3871 const QLink* link = _sides[iSide];
3875 // add link into chain
3876 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3877 chLink->SetFace( this );
3880 // propagate from a quadrangle to neighbour faces
3881 if ( link->MediumPos() >= pos ) {
3882 int nbLinkFaces = link->_faces.size();
3883 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3884 // hexahedral mesh or boundary quadrangles - goto a continuous face
3885 if ( const QFace* f = link->GetContinuesFace( this ))
3886 if ( f->_sides.size() == 4 )
3887 return f->GetLinkChain( *chLink, chain, pos, error );
3890 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3891 for ( int i = 0; i < nbLinkFaces; ++i )
3892 if ( link->_faces[i] )
3893 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3894 if ( error < ERR_PRISM )
3902 //================================================================================
3904 * \brief Return a boundary link of the triangle face
3905 * \param links - set of all links
3906 * \param avoidLink - link not to return
3907 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3908 * \param nodeToContain - node the returned link must contain; if provided, search
3909 * also performed on adjacent faces
3910 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3911 * \param nbRecursionsLeft - to limit recursion
3913 //================================================================================
3915 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3916 const TChainLink& avoidLink,
3917 TLinkInSet * notBoundaryLink,
3918 const SMDS_MeshNode* nodeToContain,
3919 bool * isAdjacentUsed,
3920 int nbRecursionsLeft) const
3922 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3924 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3925 TFaceLinkList adjacentFaces;
3927 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3929 if ( avoidLink._qlink == _sides[iL] )
3931 TLinkInSet link = links.find( _sides[iL] );
3932 if ( link == linksEnd ) continue;
3933 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3934 continue; // We work on faces here, don't go inside a solid
3937 if ( link->IsBoundary() ) {
3938 if ( !nodeToContain ||
3939 (*link)->node1() == nodeToContain ||
3940 (*link)->node2() == nodeToContain )
3942 boundaryLink = link;
3943 if ( !notBoundaryLink ) break;
3946 else if ( notBoundaryLink ) {
3947 *notBoundaryLink = link;
3948 if ( boundaryLink != linksEnd ) break;
3951 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3952 if ( const QFace* adj = link->NextFace( this ))
3953 if ( adj->Contains( nodeToContain ))
3954 adjacentFaces.push_back( make_pair( adj, link ));
3957 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3958 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3960 if ( nbRecursionsLeft < 0 )
3961 nbRecursionsLeft = nodeToContain->NbInverseElements();
3962 TFaceLinkList::iterator adj = adjacentFaces.begin();
3963 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3964 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3965 isAdjacentUsed, nbRecursionsLeft-1);
3966 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3968 return boundaryLink;
3970 //================================================================================
3972 * \brief Return a link ending at the given node but not avoidLink
3974 //================================================================================
3976 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3977 const TChainLink& avoidLink,
3978 const SMDS_MeshNode* nodeToContain) const
3980 for ( size_t i = 0; i < _sides.size(); ++i )
3981 if ( avoidLink._qlink != _sides[i] &&
3982 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3983 return links.find( _sides[i] );
3987 //================================================================================
3989 * \brief Return normal to the i-th side pointing outside the face
3991 //================================================================================
3993 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3995 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3996 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3997 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3998 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
4000 if ( norm * vecOut < 0 )
4002 double mag2 = norm.SquareMagnitude();
4003 if ( mag2 > numeric_limits<double>::min() )
4004 norm /= sqrt( mag2 );
4007 //================================================================================
4009 * \brief Move medium node of theLink according to its distance from boundary
4010 * \param theLink - link to fix
4011 * \param theRefVec - movement of boundary
4012 * \param theLinks - all adjacent links of continuous triangles
4013 * \param theFaceHelper - helper is not used so far
4014 * \param thePrevLen - distance from the boundary
4015 * \param theStep - number of steps till movement propagation limit
4016 * \param theLinkNorm - out normal to theLink
4017 * \param theSign - 1 or -1 depending on movement of boundary
4018 * \retval double - distance from boundary to propagation limit or other boundary
4020 //================================================================================
4022 double QFace::MoveByBoundary( const TChainLink& theLink,
4023 const gp_Vec& theRefVec,
4024 const TLinkSet& theLinks,
4025 SMESH_MesherHelper* theFaceHelper,
4026 const double thePrevLen,
4028 gp_Vec* theLinkNorm,
4029 double theSign) const
4032 return thePrevLen; // propagation limit reached
4034 size_t iL; // index of theLink
4035 for ( iL = 0; iL < _sides.size(); ++iL )
4036 if ( theLink._qlink == _sides[ iL ])
4039 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
4040 <<" thePrevLen " << thePrevLen);
4041 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
4043 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
4044 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
4045 if ( theStep == theFirstStep )
4046 theSign = refProj < 0. ? -1. : 1.;
4047 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
4048 return thePrevLen; // to propagate movement forward only, not in side dir or backward
4050 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
4051 TLinkInSet link1 = theLinks.find( _sides[iL1] );
4052 TLinkInSet link2 = theLinks.find( _sides[iL2] );
4054 const QFace *f1 = 0, *f2 = 0; // adjacent faces
4055 bool isBndLink1 = true, isBndLink2 = true;
4056 if ( link1 != theLinks.end() && link2 != theLinks.end() )
4058 f1 = link1->NextFace( this );
4059 f2 = link2->NextFace( this );
4061 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
4062 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
4063 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
4065 if ( !isBndLink1 && !f1 )
4066 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
4067 if ( !isBndLink2 && !f2 )
4068 f2 = (*link2)->GetContinuesFace( this );
4071 else if ( _sides.size() < 4 )
4074 // propagate to adjacent faces till limit step or boundary
4075 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
4076 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
4077 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
4078 gp_Vec linkDir2(0,0,0);
4081 if ( f1 && !isBndLink1 )
4082 len1 = f1->MoveByBoundary
4083 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
4085 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
4087 MSG( " --------------- EXCEPTION");
4092 if ( f2 && !isBndLink2 )
4093 len2 = f2->MoveByBoundary
4094 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
4096 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
4098 MSG( " --------------- EXCEPTION");
4103 if ( theStep != theFirstStep )
4105 // choose chain length by direction of propagation most codirected with theRefVec
4106 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
4107 fullLen = choose1 ? len1 : len2;
4108 double r = thePrevLen / fullLen;
4110 gp_Vec move = linkNorm * refProj * ( 1 - r );
4111 theLink->Move( move, /*sum=*/true );
4113 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
4114 " by " << refProj * ( 1 - r ) << " following " <<
4115 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
4117 if ( theLinkNorm ) *theLinkNorm = linkNorm;
4122 //================================================================================
4124 * \brief Checks if the face is distorted due to bentLink
4126 //================================================================================
4128 bool QFace::IsSpoiled(const QLink* bentLink ) const
4130 // code is valid for convex faces only
4132 for ( TIDSortedNodeSet::const_iterator n = begin(); n != end(); ++n )
4133 gc += XYZ( *n ) / double( size() );
4134 for ( size_t i = 0; i < _sides.size(); ++i )
4136 if ( _sides[i] == bentLink ) continue;
4137 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4138 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
4139 if ( linkNorm * vecOut < 0 )
4141 double mag2 = linkNorm.SquareMagnitude();
4142 if ( mag2 > numeric_limits<double>::min() )
4143 linkNorm /= sqrt( mag2 );
4144 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
4145 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
4146 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4153 //================================================================================
4155 * \brief Find pairs of continues faces
4157 //================================================================================
4159 void QLink::SetContinuesFaces() const
4161 // x0 x - QLink, [-|] - QFace, v - volume
4163 // | Between _faces of link x2 two vertical faces are continues
4164 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4165 // | to _faces[0] and _faces[1] and horizontal faces to
4166 // v2 | v3 _faces[2] and _faces[3] (or vice versa).
4169 if ( _faces.empty() )
4171 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4172 if ( _faces[0]->IsBoundary() )
4173 iBoundary[ nbBoundary++ ] = 0;
4174 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4176 // look for a face bounding none of volumes bound by _faces[0]
4177 bool sameVol = false;
4178 int nbVol = _faces[iF]->NbVolumes();
4179 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4180 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4181 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4184 if ( _faces[iF]->IsBoundary() )
4185 iBoundary[ nbBoundary++ ] = iF;
4187 // Set continues faces: arrange _faces to have
4188 // _faces[0] continues to _faces[1]
4189 // _faces[2] continues to _faces[3]
4190 if ( nbBoundary == 2 ) // bnd faces are continues
4192 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4194 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4195 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4198 else if ( iFaceCont > 0 ) // continues faces found
4200 if ( iFaceCont != 1 )
4201 std::swap( _faces[1], _faces[iFaceCont] );
4203 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4205 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4208 //================================================================================
4210 * \brief Return a face continues to the given one
4212 //================================================================================
4214 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4216 if ( _faces.size() <= 4 )
4217 for ( size_t i = 0; i < _faces.size(); ++i ) {
4218 if ( _faces[i] == face ) {
4219 int iF = i < 2 ? 1-i : 5-i;
4220 return iF < (int)_faces.size() ? _faces[iF] : 0;
4225 //================================================================================
4227 * \brief True if link is on mesh boundary
4229 //================================================================================
4231 bool QLink::OnBoundary() const
4233 for ( size_t i = 0; i < _faces.size(); ++i )
4234 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4237 //================================================================================
4239 * \brief Return normal of link of the chain
4241 //================================================================================
4243 gp_Vec TChainLink::Normal() const {
4245 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4246 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4249 //================================================================================
4251 * \brief Test link curvature taking into account size of faces
4253 //================================================================================
4255 bool TChainLink::IsStraight() const
4257 bool isStraight = _qlink->IsStraight();
4258 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4260 int i = _qfaces[0]->LinkIndex( _qlink );
4261 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4262 gp_XYZ mid1 = _qlink->MiddlePnt();
4263 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4264 double faceSize2 = (mid1-mid2).SquareModulus();
4265 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4270 //================================================================================
4272 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4274 //================================================================================
4276 void fixPrism( TChain& allLinks )
4278 // separate boundary links from internal ones
4279 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4280 QLinkSet interLinks, bndLinks1, bndLink2;
4282 bool isCurved = false;
4283 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4284 if ( (*lnk)->OnBoundary() )
4285 bndLinks1.insert( lnk->_qlink );
4287 interLinks.insert( lnk->_qlink );
4288 isCurved = isCurved || !lnk->IsStraight();
4291 return; // no need to move
4293 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4295 while ( !interLinks.empty() && !curBndLinks->empty() )
4297 // propagate movement from boundary links to connected internal links
4298 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4299 for ( ; bnd != bndEnd; ++bnd )
4301 const QLink* bndLink = *bnd;
4302 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4304 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4305 if ( !face ) continue;
4306 // find and move internal link opposite to bndLink within the face
4307 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4308 const QLink* interLink = face->_sides[ interInd ];
4309 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4310 if ( pInterLink == interLinks.end() ) continue; // not internal link
4311 interLink->Move( bndLink->_nodeMove );
4312 // treated internal links become new boundary ones
4313 interLinks.erase( pInterLink );
4314 newBndLinks->insert( interLink );
4317 curBndLinks->clear();
4318 std::swap( curBndLinks, newBndLinks );
4322 //================================================================================
4324 * \brief Fix links of continues triangles near curved boundary
4326 //================================================================================
4328 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4330 if ( allLinks.empty() ) return;
4332 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4333 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4335 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4337 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4339 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4340 const QFace* face = linkIt->_qfaces[0];
4341 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4342 face->_sides[1]->MiddlePnt() +
4343 face->_sides[2]->MiddlePnt() ) / 3.;
4344 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4345 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4346 //if ( face->IsSpoiled( linkIt->_qlink ))
4347 if ( linkBentInside )
4348 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4353 //================================================================================
4355 * \brief Detect rectangular structure of links and build chains from them
4357 //================================================================================
4359 enum TSplitTriaResult {
4360 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4361 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4363 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4364 vector< TChain> & resultChains,
4365 SMDS_TypeOfPosition pos )
4367 // put links in the set and evaluate number of result chains by number of boundary links
4369 size_t nbBndLinks = 0;
4370 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4371 linkSet.insert( *lnk );
4372 nbBndLinks += lnk->IsBoundary();
4374 resultChains.clear();
4375 resultChains.reserve( nbBndLinks / 2 );
4377 TLinkInSet linkIt, linksEnd = linkSet.end();
4379 // find a boundary link with corner node; corner node has position pos-2
4380 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4382 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4383 const SMDS_MeshNode* corner = 0;
4384 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4385 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4390 TLinkInSet startLink = linkIt;
4391 const SMDS_MeshNode* startCorner = corner;
4392 vector< TChain* > rowChains;
4395 while ( startLink != linksEnd) // loop on columns
4397 // We suppose we have a rectangular structure like shown here. We have found a
4398 // corner of the rectangle (startCorner) and a boundary link sharing
4399 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4400 // --o---o---o structure making several chains at once. One chain (columnChain)
4401 // |\ | /| starts at startLink and continues upward (we look at the structure
4402 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4403 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4404 // --o---o---o encounter.
4406 // / | \ | \ | startCorner
4411 if ( resultChains.size() == nbBndLinks / 2 )
4413 resultChains.push_back( TChain() );
4414 TChain& columnChain = resultChains.back();
4416 TLinkInSet botLink = startLink; // current horizontal link to go up from
4417 corner = startCorner; // current corner the botLink ends at
4419 while ( botLink != linksEnd ) // loop on rows
4421 // add botLink to the columnChain
4422 columnChain.push_back( *botLink );
4424 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4426 { // the column ends
4427 if ( botLink == startLink )
4428 return _TWISTED_CHAIN; // issue 0020951
4429 linkSet.erase( botLink );
4430 if ( iRow != rowChains.size() )
4431 return _FEW_ROWS; // different nb of rows in columns
4434 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4435 // link ending at <corner> (sideLink); there are two cases:
4436 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4437 // since midQuadLink is not at boundary while sideLink is.
4438 // 2) midQuadLink ends at <corner>
4440 TLinkInSet midQuadLink = linksEnd;
4441 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4443 if ( isCase2 ) { // find midQuadLink among links of botTria
4444 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4445 if ( midQuadLink->IsBoundary() )
4446 return _BAD_MIDQUAD;
4448 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4449 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4452 columnChain.push_back( *midQuadLink );
4453 if ( iRow >= rowChains.size() ) {
4455 return _MANY_ROWS; // different nb of rows in columns
4456 if ( resultChains.size() == nbBndLinks / 2 )
4458 resultChains.push_back( TChain() );
4459 rowChains.push_back( & resultChains.back() );
4461 rowChains[iRow]->push_back( *sideLink );
4462 rowChains[iRow]->push_back( *midQuadLink );
4464 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4468 // prepare startCorner and startLink for the next column
4469 startCorner = startLink->NextNode( startCorner );
4471 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4473 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4474 // check if no more columns remains
4475 if ( startLink != linksEnd ) {
4476 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4477 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4478 startLink = linksEnd; // startLink bounds upTria or botTria
4479 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4483 // find bottom link and corner for the next row
4484 corner = sideLink->NextNode( corner );
4485 // next bottom link ends at the new corner
4486 linkSet.erase( botLink );
4487 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4488 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4490 if ( midQuadLink == startLink || sideLink == startLink )
4491 return _TWISTED_CHAIN; // issue 0020951
4492 linkSet.erase( midQuadLink );
4493 linkSet.erase( sideLink );
4495 // make faces neighboring the found ones be boundary
4496 if ( startLink != linksEnd ) {
4497 const QFace* tria = isCase2 ? botTria : upTria;
4498 for ( int iL = 0; iL < 3; ++iL ) {
4499 linkIt = linkSet.find( tria->_sides[iL] );
4500 if ( linkIt != linksEnd )
4501 linkIt->RemoveFace( tria );
4504 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4505 botLink->RemoveFace( upTria ); // make next botTria first in vector
4512 // In the linkSet, there must remain the last links of rowChains; add them
4513 if ( linkSet.size() != rowChains.size() )
4514 return _BAD_SET_SIZE;
4515 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4516 // find the link (startLink) ending at startCorner
4518 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4519 if ( (*startLink)->node1() == startCorner ) {
4520 corner = (*startLink)->node2(); break;
4522 else if ( (*startLink)->node2() == startCorner) {
4523 corner = (*startLink)->node1(); break;
4526 if ( startLink == linksEnd )
4528 rowChains[ iRow ]->push_back( *startLink );
4529 linkSet.erase( startLink );
4530 startCorner = corner;
4536 //================================================================================
4538 * \brief Place medium nodes at the link middle for elements whose corner nodes
4539 * are out of geometrical boundary to prevent distorting elements.
4540 * Issue 0020982, note 0013990
4542 //================================================================================
4544 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4545 SMESH_ComputeErrorPtr& theError)
4547 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4548 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4549 if ( shape.IsNull() ) return;
4551 if ( !dynamic_cast<SMESH_BadInputElements*>( theError.get() ))
4554 theError.reset( new SMESH_BadInputElements( meshDS ));
4556 theError.reset( new SMESH_BadInputElements( meshDS,
4558 theError->myComment,
4563 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4565 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4567 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4568 if ( !faceSM ) return;
4570 const TopoDS_Face& face = TopoDS::Face( shape );
4571 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4573 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4574 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4576 // check if the EDGE needs checking
4577 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4578 if ( SMESH_Algo::isDegenerated( edge ) )
4580 if ( theHelper.IsRealSeam( edge ) &&
4581 edge.Orientation() == TopAbs_REVERSED )
4584 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4585 if ( !edgeSM ) continue;
4588 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4589 BRepAdaptor_Curve curve3D( edge );
4590 switch ( curve3D.GetType() ) {
4591 case GeomAbs_Line: continue;
4592 case GeomAbs_Circle:
4593 case GeomAbs_Ellipse:
4594 case GeomAbs_Hyperbola:
4595 case GeomAbs_Parabola:
4598 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4599 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4600 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4601 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4602 gp_Vec fNorm = Du1 ^ Dv1;
4603 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4604 continue; // face is normal to the curve3D
4606 gp_Vec curvNorm = fNorm ^ D1;
4607 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4608 if ( curvNorm * D2 > 0 )
4609 continue; // convex edge
4611 catch ( Standard_Failure )
4617 // get nodes shared by faces that may be distorted
4618 SMDS_NodeIteratorPtr nodeIt;
4619 if ( edgeSM->NbNodes() > 0 ) {
4620 nodeIt = edgeSM->GetNodes();
4623 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4625 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4626 if ( !vertexSM ) continue;
4627 nodeIt = vertexSM->GetNodes();
4630 // find suspicious faces
4631 TIDSortedElemSet checkedFaces;
4632 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4633 const SMDS_MeshNode* nOnFace;
4634 while ( nodeIt->more() )
4636 const SMDS_MeshNode* n = nodeIt->next();
4637 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4638 while ( faceIt->more() )
4640 const SMDS_MeshElement* f = faceIt->next();
4641 if ( !faceSM->Contains( f ) ||
4642 f->NbNodes() < 6 || // check quadratic triangles only
4643 !checkedFaces.insert( f ).second )
4646 // get nodes on EDGE and on FACE of a suspicious face
4647 nOnEdge.clear(); nOnFace = 0;
4648 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4649 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4652 if ( n->GetPosition()->GetDim() == 2 )
4655 nOnEdge.push_back( n );
4658 // check if nOnFace is inside the FACE
4659 if ( nOnFace && nOnEdge.size() == 2 )
4661 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4662 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4664 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4665 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4666 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4667 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4668 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4669 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4670 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4671 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4672 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4674 // nOnFace is out of FACE, move a medium on-edge node to the middle
4675 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4676 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4677 MSG( "move OUT of face " << n );
4678 static_cast<SMESH_BadInputElements*>( theError.get() )->add( f );
4684 if ( theError->HasBadElems() )
4685 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4688 } // 2D ==============================================================================
4690 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4692 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4693 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4695 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4696 if ( !solidSM ) return;
4698 // check if the SOLID is bound by concave FACEs
4699 vector< TopoDS_Face > concaveFaces;
4700 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4701 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4703 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4704 if ( !meshDS->MeshElements( face )) continue;
4706 BRepAdaptor_Surface surface( face );
4707 switch ( surface.GetType() ) {
4708 case GeomAbs_Plane: continue;
4709 case GeomAbs_Cylinder:
4711 case GeomAbs_Sphere:
4714 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4715 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4716 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4717 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4718 gp_Vec fNorm = Du1 ^ Dv1;
4719 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4720 bool concaveU = ( fNorm * Du2 > 1e-100 );
4721 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4722 if ( concaveU || concaveV )
4723 concaveFaces.push_back( face );
4725 catch ( Standard_Failure )
4727 concaveFaces.push_back( face );
4732 if ( concaveFaces.empty() )
4735 // fix 2D mesh on the SOLID
4736 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4738 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4739 faceHelper.SetSubShape( faceIt.Current() );
4740 force3DOutOfBoundary( faceHelper, theError );
4743 // get an iterator over faces on concaveFaces
4744 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4745 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4746 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4747 typedef SMDS_IteratorOnIterators
4748 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4749 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4751 // search to check if a volume is close to a concave face
4752 SMESHUtils::Deleter< SMESH_ElementSearcher > faceSearcher
4753 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4756 //BRepClass3d_SolidClassifier solidClassifier( shape );
4758 TIDSortedElemSet checkedVols, movedNodes;
4759 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4760 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4762 //const TopoDS_Shape& face = faceIt.Current();
4763 const TopoDS_Shape& face = concaveFaces[ iF ];
4764 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4765 if ( !faceSM ) continue;
4767 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4768 SMDS_NodeIteratorPtr nodeIt;
4769 if ( faceSM->NbNodes() > 0 ) {
4770 nodeIt = faceSM->GetNodes();
4773 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4774 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4775 if ( !vertexSM ) continue;
4776 nodeIt = vertexSM->GetNodes();
4778 // get ids of sub-shapes of the FACE
4780 SMESH_subMeshIteratorPtr smIt =
4781 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4782 while ( smIt->more() )
4783 subIDs.insert( smIt->next()->GetId() );
4785 // find suspicious volumes adjacent to the FACE
4786 vector< const SMDS_MeshNode* > nOnFace( 4 );
4787 const SMDS_MeshNode* nInSolid;
4788 while ( nodeIt->more() )
4790 const SMDS_MeshNode* n = nodeIt->next();
4791 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4792 while ( volIt->more() )
4794 const SMDS_MeshElement* vol = volIt->next();
4795 size_t nbN = vol->NbCornerNodes();
4796 if ( ( nbN != 4 && nbN != 5 ) ||
4797 !solidSM->Contains( vol ) ||
4798 !checkedVols.insert( vol ).second )
4801 // get nodes on FACE and in SOLID of a suspicious volume
4802 nOnFace.clear(); nInSolid = 0;
4803 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4804 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4807 if ( n->GetPosition()->GetDim() == 3 )
4809 else if ( subIDs.count( n->getshapeId() ))
4810 nOnFace.push_back( n );
4814 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4817 // get size of the vol
4818 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4819 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4820 for ( size_t i = 1; i < nOnFace.size(); ++i )
4822 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4825 // check if vol is close to concaveFaces
4826 const SMDS_MeshElement* closeFace =
4827 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4829 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4832 // check if vol is distorted, i.e. a medium node is much closer
4833 // to nInSolid than the link middle
4834 bool isDistorted = false;
4835 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4836 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4838 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4839 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4840 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4841 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4843 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4844 TLinkNodeMap::const_iterator linkIt =
4845 theHelper.GetTLinkNodeMap().find( link );
4846 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4848 links.push_back( make_pair( linkIt->first, linkIt->second ));
4849 if ( !isDistorted ) {
4850 // compare projections of nInSolid and nMedium to face normal
4851 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4852 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4853 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4854 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.75 ));
4858 // move medium nodes to link middle
4861 for ( size_t i = 0; i < links.size(); ++i )
4863 const SMDS_MeshNode* nMedium = links[i].second;
4864 if ( movedNodes.insert( nMedium ).second )
4866 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4867 SMESH_TNodeXYZ( links[i].first.node2() ));
4868 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4869 MSG( "move OUT of solid " << nMedium );
4872 static_cast<SMESH_BadInputElements*>( theError.get() )->add( vol );
4874 } // loop on volumes sharing a node on FACE
4875 } // loop on nodes on FACE
4876 } // loop on FACEs of a SOLID
4878 if ( theError->HasBadElems() )
4879 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4885 //=======================================================================
4887 * \brief Move medium nodes of faces and volumes to fix distorted elements
4888 * \param error - container of fixed distorted elements
4889 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4891 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4893 //=======================================================================
4895 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4898 //MESSAGE("FixQuadraticElements " << volumeOnly);
4899 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4900 if ( getenv("NO_FixQuadraticElements") )
4903 // 0. Apply algorithm to SOLIDs or FACEs
4904 // ----------------------------------------------
4905 if ( myShape.IsNull() ) {
4906 if ( !myMesh->HasShapeToMesh() ) return;
4907 SetSubShape( myMesh->GetShapeToMesh() );
4911 TopTools_IndexedMapOfShape solids;
4912 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4913 nbSolids = solids.Extent();
4915 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4916 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4917 faces.Add( f.Current() ); // not in solid
4919 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4920 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4921 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4922 faces.Add( f.Current() ); // in not meshed solid
4924 else { // fix nodes in the solid and its faces
4926 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4928 SMESH_MesherHelper h(*myMesh);
4929 h.SetSubShape( s.Current() );
4930 h.ToFixNodeParameters(true);
4931 h.FixQuadraticElements( compError, false );
4934 // fix nodes on geom faces
4936 int nbfaces = nbSolids;
4937 nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4939 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4940 MESSAGE("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4941 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4942 SMESH_MesherHelper h(*myMesh);
4943 h.SetSubShape( fIt.Key() );
4944 h.ToFixNodeParameters(true);
4945 h.FixQuadraticElements( compError, true);
4947 //perf_print_all_meters(1);
4948 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4949 compError->myComment = "during conversion to quadratic, "
4950 "some medium nodes were not placed on geometry to avoid distorting elements";
4954 // 1. Find out type of elements and get iterator on them
4955 // ---------------------------------------------------
4957 SMDS_ElemIteratorPtr elemIt;
4958 SMDSAbs_ElementType elemType = SMDSAbs_All;
4960 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4963 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4964 elemIt = smDS->GetElements();
4965 if ( elemIt->more() ) {
4966 elemType = elemIt->next()->GetType();
4967 elemIt = smDS->GetElements();
4970 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4973 // 2. Fill in auxiliary data structures
4974 // ----------------------------------
4978 set< QLink >::iterator pLink;
4979 set< QFace >::iterator pFace;
4981 bool isCurved = false;
4982 //bool hasRectFaces = false;
4983 //set<int> nbElemNodeSet;
4984 SMDS_VolumeTool volTool;
4986 TIDSortedNodeSet apexOfPyramid;
4987 const int apexIndex = 4;
4990 // Move medium nodes to the link middle for elements whose corner nodes
4991 // are out of geometrical boundary to fix distorted elements.
4992 force3DOutOfBoundary( *this, compError );
4994 if ( elemType == SMDSAbs_Volume )
4996 while ( elemIt->more() ) // loop on volumes
4998 const SMDS_MeshElement* vol = elemIt->next();
4999 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
5001 double volMinSize2 = -1.;
5002 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
5004 int nbN = volTool.NbFaceNodes( iF );
5005 //nbElemNodeSet.insert( nbN );
5006 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
5007 vector< const QLink* > faceLinks( nbN/2 );
5008 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
5011 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
5012 pLink = links.insert( link ).first;
5013 faceLinks[ iN/2 ] = & *pLink;
5015 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
5017 if ( !link.IsStraight() )
5018 return; // already fixed
5020 else if ( !isCurved )
5022 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
5023 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
5027 pFace = faces.insert( QFace( faceLinks )).first;
5028 if ( pFace->NbVolumes() == 0 )
5029 pFace->AddSelfToLinks();
5030 pFace->SetVolume( vol );
5031 // hasRectFaces = hasRectFaces ||
5032 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
5033 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
5036 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
5038 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
5039 faceNodes[4],faceNodes[6] );
5042 // collect pyramid apexes for further correction
5043 if ( vol->NbCornerNodes() == 5 )
5044 apexOfPyramid.insert( vol->GetNode( apexIndex ));
5046 set< QLink >::iterator pLink = links.begin();
5047 for ( ; pLink != links.end(); ++pLink )
5048 pLink->SetContinuesFaces();
5052 while ( elemIt->more() ) // loop on faces
5054 const SMDS_MeshElement* face = elemIt->next();
5055 if ( !face->IsQuadratic() )
5057 //nbElemNodeSet.insert( face->NbNodes() );
5058 int nbN = face->NbNodes()/2;
5059 vector< const QLink* > faceLinks( nbN );
5060 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
5063 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
5064 pLink = links.insert( link ).first;
5065 faceLinks[ iN ] = & *pLink;
5067 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
5068 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
5069 isCurved = !link.IsStraight();
5072 pFace = faces.insert( QFace( faceLinks )).first;
5073 pFace->AddSelfToLinks();
5074 //hasRectFaces = ( hasRectFaces || nbN == 4 );
5078 return; // no curved edges of faces
5080 // 3. Compute displacement of medium nodes
5081 // ---------------------------------------
5083 SMESH_MesherHelper faceHlp(*myMesh);
5085 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
5086 TopLoc_Location loc;
5088 // not to treat boundary of volumic sub-mesh.
5089 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
5090 for ( ; isInside < 2; ++isInside )
5092 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
5093 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
5094 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
5096 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
5097 if ( bool(isInside) == pFace->IsBoundary() )
5099 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
5102 // make chain of links connected via continues faces
5105 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
5107 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
5109 vector< TChain > chains;
5110 if ( error == ERR_OK ) { // chain contains continues rectangles
5112 chains[0].splice( chains[0].begin(), rawChain );
5114 else if ( error == ERR_TRI ) { // chain contains continues triangles
5115 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
5116 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
5117 fixTriaNearBoundary( rawChain, *this );
5121 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
5122 fixPrism( rawChain );
5128 for ( size_t iC = 0; iC < chains.size(); ++iC )
5130 TChain& chain = chains[iC];
5131 if ( chain.empty() ) continue;
5132 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
5133 MSG("3D straight - ignore");
5136 if ( chain.front()->MediumPos() > bndPos ||
5137 chain.back() ->MediumPos() > bndPos ) {
5138 MSG("Internal chain - ignore");
5141 // measure chain length and compute link position along the chain
5142 double chainLen = 0;
5143 vector< double > linkPos;
5144 TChain savedChain; // backup
5145 MSGBEG( "Link medium nodes: ");
5146 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
5147 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
5148 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
5149 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5150 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
5151 if ( savedChain.empty() ) savedChain = chain;
5152 link1 = chain.erase( link1 );
5153 if ( link1 == chain.end() )
5155 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5158 linkPos.push_back( chainLen );
5161 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5166 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5168 linkPos.push_back( chainLen );
5171 gp_Vec move0 = chain.front()->_nodeMove;
5172 gp_Vec move1 = chain.back ()->_nodeMove;
5177 // compute node displacement of end links of chain in parametric space of FACE
5178 TChainLink& linkOnFace = *(++chain.begin());
5179 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5180 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5181 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5183 face = TopoDS::Face( f );
5184 faceHlp.SetSubShape( face );
5185 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5186 //bool isStraight[2]; // commented for issue 0023118
5187 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5189 TChainLink& link = is1 ? chain.back() : chain.front();
5190 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5191 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5192 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5193 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5194 // uvMove = uvm - uv12
5195 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5196 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5197 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5198 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5199 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5200 // 10 * uvMove.SquareModulus());
5202 // if ( isStraight[0] && isStraight[1] ) {
5203 // MSG("2D straight - ignore");
5204 // continue; // straight - no need to move nodes of internal links
5207 // check if a chain is already fixed
5208 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5209 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5210 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5211 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5212 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5214 MSG("Already fixed - ignore");
5220 if ( isInside || face.IsNull() )
5222 // compute node displacement of end links in their local coord systems
5224 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5225 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5226 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5227 move0.Transform(trsf);
5230 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5231 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5232 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5233 move1.Transform(trsf);
5236 // compute displacement of medium nodes
5237 link2 = chain.begin();
5240 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5242 double r = linkPos[i] / chainLen;
5243 // displacement in local coord system
5244 gp_Vec move = (1. - r) * move0 + r * move1;
5245 if ( isInside || face.IsNull()) {
5246 // transform to global
5247 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5248 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5250 gp_Vec x = x01.Normalized() + x12.Normalized();
5251 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5252 } catch ( Standard_Failure ) {
5255 move.Transform(trsf);
5256 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5259 // compute 3D displacement by 2D one
5260 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5261 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5262 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5263 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5264 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5265 if ( SMDS_FacePositionPtr nPos = (*link1)->_mediumNode->GetPosition())
5266 nPos->SetParameters( newUV.X(), newUV.Y() );
5268 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5269 move.SquareMagnitude())
5271 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5272 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5273 MSG( "TOO LONG MOVE \t" <<
5274 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5275 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5276 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5277 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5278 uv0.SetX( uv2.X() ); // avoid warning: variable set but not used
5281 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5283 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5284 << chain.front()->_mediumNode->GetID() <<"-"
5285 << chain.back ()->_mediumNode->GetID() <<
5286 " by " << move.Magnitude());
5288 } // loop on chains of links
5289 } // loop on 2 directions of propagation from quadrangle
5291 } // fix faces and/or volumes
5296 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa, biQuadPenta;
5297 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5298 myMesh->NbBiQuadTriangles() +
5299 myMesh->NbTriQuadraticHexas() +
5300 myMesh->NbBiQuadPrisms());
5302 faceHlp.ToFixNodeParameters( true );
5304 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5305 if ( pLink->IsMoved() )
5307 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5309 // put on surface nodes on FACE but moved in 3D (23050)
5310 if ( !pLink->IsFixedOnSurface() )
5312 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5313 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5315 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5316 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5317 gp_XY uv( Precision::Infinite(), 0 );
5318 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5319 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5320 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5323 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5325 // collect bi-quadratic elements
5326 if ( toFixCentralNodes )
5328 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5329 while ( eIt->more() )
5331 const SMDS_MeshElement* e = eIt->next();
5332 switch( e->GetEntityType() ) {
5333 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5334 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5335 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5336 case SMDSEntity_BiQuad_Penta: biQuadPenta.insert( e ); break;
5343 // Fix positions of central nodes of bi-tri-quadratic elements
5345 // treat bi-quad quadrangles
5347 vector< const SMDS_MeshNode* > nodes( 9 );
5349 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5350 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5352 const SMDS_MeshElement* quad = *quadIt;
5355 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5357 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5358 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5359 const TopoDS_Face& F = TopoDS::Face( S );
5360 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5361 const double tol = BRep_Tool::Tolerance( F );
5363 for ( int i = 0; i < 8; ++i )
5365 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5366 // as this method is used after mesh generation, UV of nodes is not
5367 // updated according to bending links, so we update
5368 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5369 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5371 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5372 // move the central node
5373 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5374 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5375 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5379 // treat bi-quad triangles
5381 vector< const SMDS_MeshNode* > nodes;
5383 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5384 for ( ; triIt != biQuadTris.end(); ++triIt )
5386 const SMDS_MeshElement* tria = *triIt;
5388 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5389 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5390 const TopoDS_Face& F = TopoDS::Face( S );
5391 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5392 const double tol = BRep_Tool::Tolerance( F );
5395 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5397 bool uvOK = true, badTria = false;
5398 for ( int i = 0; i < 6; ++i )
5400 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5401 // as this method is used after mesh generation, UV of nodes is not
5402 // updated according to bending links, so we update
5403 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5404 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5407 // move the central node
5409 if ( !uvOK || badTria )
5411 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5412 SMESH_TNodeXYZ( nodes[4] ) +
5413 SMESH_TNodeXYZ( nodes[5] )) / 3;
5417 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5418 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5419 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5421 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5425 // treat tri-quadratic hexahedra
5427 SMDS_VolumeTool volExp;
5428 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5429 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5431 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5433 // fix nodes central in sides
5434 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5436 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5437 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5439 gp_XYZ p = calcTFI( 0.5, 0.5,
5440 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5441 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5442 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5443 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5444 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5448 // fix the volume central node
5449 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5450 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5452 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5453 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5454 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5455 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5456 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5457 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5458 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5459 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5461 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5462 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5463 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5464 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5465 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5466 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5467 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5468 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5469 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5470 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5471 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5472 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5474 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5475 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5476 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5477 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5478 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5479 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5481 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5482 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5483 GetMeshDS()->MoveNode( hexNodes[26],
5484 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());
5487 // treat tri-quadratic hexahedra
5489 SMDS_VolumeTool volExp;
5490 TIDSortedElemSet::iterator pentIt = biQuadPenta.begin();
5491 for ( ; pentIt != biQuadPenta.end(); ++pentIt )
5494 volExp.Set( *pentIt, /*ignoreCentralNodes=*/false );
5498 // avoid warning: defined but not used operator<<()
5499 SMESH_Comment() << *links.begin() << *faces.begin();
5503 //================================================================================
5507 //================================================================================
5509 void SMESH_MesherHelper::WriteShape(const TopoDS_Shape& s)
5511 const char* name = "/tmp/shape.brep";
5512 BRepTools::Write( s, name );
5514 std::cout << name << std::endl;