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 const SMDS_PositionPtr Pos = n->GetPosition();
648 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
650 // node has position on face
651 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( 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 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( 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 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
809 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
811 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
813 setPosOnShapeValidity( shapeID, false );
814 if ( !infinit && distXYZ ) {
815 surfPnt.Transform( loc );
817 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
819 // uv incorrect, project the node to surface
820 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
821 projector.Perform( nodePnt );
822 if ( !projector.IsDone() || projector.NbPoints() < 1 )
824 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
828 projector.LowerDistanceParameters(U,V);
830 surfPnt = surface->Value( U, V );
831 dist = nodePnt.Distance( surfPnt );
833 surfPnt.Transform( loc );
835 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
839 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
842 // store the fixed UV on the face
843 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
844 const_cast<SMDS_MeshNode*>(n)->SetPosition
845 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
847 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
849 setPosOnShapeValidity( shapeID, true );
855 //=======================================================================
856 //function : GetProjector
857 //purpose : Return projector intitialized by given face without location, which is returned
858 //=======================================================================
860 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
861 TopLoc_Location& loc,
864 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
865 int faceID = GetMeshDS()->ShapeToIndex( F );
866 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
867 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
868 if ( i_proj == i2proj.end() )
870 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
871 double U1, U2, V1, V2;
872 surface->Bounds(U1, U2, V1, V2);
873 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
874 proj->Init( surface, U1, U2, V1, V2, tol );
875 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
877 return *( i_proj->second );
880 //=======================================================================
881 //function : GetSurface
882 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
883 //=======================================================================
885 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
887 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
888 int faceID = GetMeshDS()->ShapeToIndex( F );
889 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
890 if ( i_surf == myFace2Surface.end() && faceID )
892 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
893 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
895 return i_surf->second;
900 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
901 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
902 gp_XY_FunPtr(Subtracted);
905 //=======================================================================
906 //function : ApplyIn2D
907 //purpose : Perform given operation on two 2d points in parameric space of given surface.
908 // It takes into account period of the surface. Use gp_XY_FunPtr macro
909 // to easily define pointer to function of gp_XY class.
910 //=======================================================================
912 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
916 const bool resultInPeriod)
918 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
919 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
920 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
921 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
922 if ( !isUPeriodic && !isVPeriodic )
925 // move uv2 not far than half-period from uv1
927 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
929 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
932 gp_XY res = fun( uv1, gp_XY(u2,v2) );
934 // move result within period
935 if ( resultInPeriod )
937 Standard_Real UF,UL,VF,VL;
938 surface->Bounds(UF,UL,VF,VL);
940 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
942 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
948 //=======================================================================
949 //function : AdjustByPeriod
950 //purpose : Move node positions on a FACE within surface period
951 //=======================================================================
953 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
955 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
956 ph->SetSubShape( face );
958 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
959 if ( ph->GetPeriodicIndex() & iCoo )
961 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
962 const double xRef = uv[0].Coord( iCoo );
963 for ( int i = 1; i < nbUV; ++i )
965 double x = uv[i].Coord( iCoo );
966 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
967 uv[i].SetCoord( iCoo, x + dx );
972 //=======================================================================
973 //function : GetMiddleUV
974 //purpose : Return middle UV taking in account surface period
975 //=======================================================================
977 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
982 // the proper place of getting basic surface seems to be in ApplyIn2D()
983 // but we put it here to decrease a risk of regressions just before releasing a version
984 // Handle(Geom_Surface) surf = surface;
985 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
986 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
988 return ApplyIn2D( surface, p1, p2, & AverageUV );
991 //=======================================================================
992 //function : GetCenterUV
993 //purpose : Return UV for the central node of a biquadratic triangle
994 //=======================================================================
996 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
1002 bool * isBadTria/*=0*/)
1005 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
1007 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
1008 uvAvg = ( uv1 + uv23 ) / 2.;
1009 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
1010 uvAvg = ( uv2 + uv31 ) / 2.;
1011 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
1012 uvAvg = ( uv3 + uv12 ) / 2.;
1015 *isBadTria = badTria;
1019 //=======================================================================
1020 //function : GetNodeU
1021 //purpose : Return node U on edge
1022 //=======================================================================
1024 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
1025 const SMDS_MeshNode* n,
1026 const SMDS_MeshNode* inEdgeNode,
1029 double param = Precision::Infinite();
1031 const SMDS_PositionPtr pos = n->GetPosition();
1032 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1034 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
1035 param = epos->GetUParameter();
1037 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
1039 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
1042 BRep_Tool::Range( E, f,l );
1043 double uInEdge = GetNodeU( E, inEdgeNode );
1044 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
1048 SMESHDS_Mesh * meshDS = GetMeshDS();
1049 int vertexID = n->getshapeId();
1050 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
1051 param = BRep_Tool::Parameter( V, E );
1056 double tol = BRep_Tool::Tolerance( E );
1057 double f,l; BRep_Tool::Range( E, f,l );
1058 bool force = ( param < f-tol || param > l+tol );
1059 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1060 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1062 *check = CheckNodeU( E, n, param, 2*tol, force );
1067 //=======================================================================
1068 //function : CheckNodeU
1069 //purpose : Check and fix node U on an edge
1070 // Return false if U is bad and could not be fixed
1071 //=======================================================================
1073 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1074 const SMDS_MeshNode* n,
1078 double distXYZ[4]) const
1080 int shapeID = n->getshapeId();
1082 if (( infinit = Precision::IsInfinite( u )) ||
1085 ( toCheckPosOnShape( shapeID )))
1087 TopLoc_Location loc; double f,l;
1088 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1089 if ( curve.IsNull() ) // degenerated edge
1091 if ( u+tol < f || u-tol > l )
1093 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1099 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1100 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1102 double dist = 2*tol;
1105 curvPnt = curve->Value( u );
1106 dist = nodePnt.Distance( curvPnt );
1108 curvPnt.Transform( loc );
1110 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1115 setPosOnShapeValidity( shapeID, false );
1116 // u incorrect, project the node to the curve
1117 int edgeID = GetMeshDS()->ShapeToIndex( E );
1118 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1119 TID2ProjectorOnCurve::iterator i_proj =
1120 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1121 if ( !i_proj->second )
1123 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1124 i_proj->second->Init( curve, f, l );
1126 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1127 projector->Perform( nodePnt );
1128 if ( projector->NbPoints() < 1 )
1130 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1133 Standard_Real U = projector->LowerDistanceParameter();
1135 curvPnt = curve->Value( u );
1136 dist = nodePnt.Distance( curvPnt );
1138 curvPnt.Transform( loc );
1140 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1144 MESSAGE( "CheckNodeU(), invalid projection; distance " << dist << "; tol " << tol );
1147 // store the fixed U on the edge
1148 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1149 const_cast<SMDS_MeshNode*>(n)->SetPosition
1150 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1152 else if ( fabs( u ) > numeric_limits<double>::min() )
1154 setPosOnShapeValidity( shapeID, true );
1156 if (( u < f-tol || u > l+tol ) && force )
1158 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1159 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1162 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1163 double period = curve->Period();
1164 u = ( u < f ) ? u + period : u - period;
1166 catch (Standard_Failure& exc)
1176 //=======================================================================
1177 //function : GetMediumPos
1178 //purpose : Return index and type of the shape (EDGE or FACE only) to
1179 // set a medium node on
1180 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1182 //param : expectedSupport - shape type corresponding to element being created,
1183 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1184 // basing on \a n1 and \a n2
1185 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1186 // case where the lower dim mesh is already constructed and converted to quadratic,
1187 // else, nodes on EDGEs are assigned to FACE, for example.
1188 //=======================================================================
1190 std::pair<int, TopAbs_ShapeEnum>
1191 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1192 const SMDS_MeshNode* n2,
1193 const bool useCurSubShape,
1194 TopAbs_ShapeEnum expectedSupport)
1196 if ( useCurSubShape && !myShape.IsNull() )
1197 return std::make_pair( myShapeID, myShape.ShapeType() );
1199 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1203 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1205 shapeType = myShape.ShapeType();
1206 shapeID = myShapeID;
1208 else if ( n1->getshapeId() == n2->getshapeId() )
1210 shapeID = n2->getshapeId();
1211 shape = GetSubShapeByNode( n1, GetMeshDS() );
1213 else // 2 different shapes
1215 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1216 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1218 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1222 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1225 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1227 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1228 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1229 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1230 if ( IsSubShape( S, F ))
1232 shapeType = TopAbs_FACE;
1233 shapeID = n1->getshapeId();
1237 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1239 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1240 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1241 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1243 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1245 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1246 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1247 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1248 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1250 else // on VERTEX and EDGE
1252 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1253 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1254 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1255 if ( IsSubShape( V, E ))
1258 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1262 if ( !shape.IsNull() )
1265 shapeID = GetMeshDS()->ShapeToIndex( shape );
1266 shapeType = shape.ShapeType(); // EDGE or FACE
1268 if ( expectedSupport < shapeType &&
1269 expectedSupport != TopAbs_SHAPE &&
1270 !myShape.IsNull() &&
1271 myShape.ShapeType() == expectedSupport )
1273 // e.g. a side of triangle connects nodes on the same EDGE but does not
1274 // lie on this EDGE (an arc with a coarse mesh)
1275 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1276 // hope that myShape is a right shape, return it if the found shape
1277 // has converted elements of corresponding dim (segments in our example)
1278 int nbConvertedElems = 0;
1279 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1280 for ( int iN = 0; iN < 2; ++iN )
1282 const SMDS_MeshNode* n = iN ? n2 : n1;
1283 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1284 while ( it->more() )
1286 const SMDS_MeshElement* elem = it->next();
1287 if ( elem->getshapeId() == shapeID &&
1288 elem->IsQuadratic() )
1295 if ( nbConvertedElems == 2 )
1297 shapeType = myShape.ShapeType();
1298 shapeID = myShapeID;
1302 return make_pair( shapeID, shapeType );
1305 //=======================================================================
1306 //function : GetCentralNode
1307 //purpose : Return existing or create a new central node for a quardilateral
1308 // quadratic face given its 8 nodes.
1309 //@param : force3d - true means node creation in between the given nodes,
1310 // else node position is found on a geometrical face if any.
1311 //=======================================================================
1313 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1314 const SMDS_MeshNode* n2,
1315 const SMDS_MeshNode* n3,
1316 const SMDS_MeshNode* n4,
1317 const SMDS_MeshNode* n12,
1318 const SMDS_MeshNode* n23,
1319 const SMDS_MeshNode* n34,
1320 const SMDS_MeshNode* n41,
1323 SMDS_MeshNode *centralNode = 0; // central node to return
1325 // Find an existing central node
1327 TBiQuad keyOfMap(n1,n2,n3,n4);
1328 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1329 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1330 if ( itMapCentralNode != myMapWithCentralNode.end() )
1332 return (*itMapCentralNode).second;
1335 // Get type of shape for the new central node
1337 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1341 TopTools_ListIteratorOfListOfShape it;
1343 std::map< int, int > faceId2nbNodes;
1344 std::map< int, int > ::iterator itMapWithIdFace;
1346 SMESHDS_Mesh* meshDS = GetMeshDS();
1348 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1349 // on sub-shapes of the FACE
1350 if ( GetMesh()->HasShapeToMesh() )
1352 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1353 for(int i = 0; i < 4; i++)
1355 shape = GetSubShapeByNode( nodes[i], meshDS );
1356 if ( shape.IsNull() ) break;
1357 if ( shape.ShapeType() == TopAbs_SOLID )
1359 solidID = nodes[i]->getshapeId();
1360 shapeType = TopAbs_SOLID;
1363 if ( shape.ShapeType() == TopAbs_FACE )
1365 faceID = nodes[i]->getshapeId();
1366 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1367 itMapWithIdFace->second++;
1371 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1372 while ( const TopoDS_Shape* face = it->next() )
1374 faceID = meshDS->ShapeToIndex( *face );
1375 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1376 itMapWithIdFace->second++;
1381 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1383 // find ID of the FACE the four corner nodes belong to
1384 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1385 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1386 itMapWithIdFace->second == 4 )
1388 shapeType = TopAbs_FACE;
1393 itMapWithIdFace = faceId2nbNodes.begin();
1394 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1396 if ( itMapWithIdFace->second == 4 )
1398 shapeType = TopAbs_FACE;
1399 faceID = (*itMapWithIdFace).first;
1407 if ( shapeType == TopAbs_FACE )
1409 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1416 bool toCheck = true;
1417 if ( !F.IsNull() && !force3d )
1419 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1420 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1422 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1423 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1424 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1425 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1426 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1427 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1428 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1433 GetNodeUV( F,n1, n3, &toCheck ),
1434 GetNodeUV( F,n2, n4, &toCheck ),
1435 GetNodeUV( F,n3, n1, &toCheck ),
1436 GetNodeUV( F,n4, n2, &toCheck ),
1437 GetNodeUV( F,n12, n3 ),
1438 GetNodeUV( F,n23, n4 ),
1439 GetNodeUV( F,n34, n2 ),
1440 GetNodeUV( F,n41, n2 )
1442 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1444 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1446 P = surface->Value( uvAvg );
1447 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1448 // if ( mySetElemOnShape ) node is not elem!
1449 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1451 else // ( force3d || F.IsNull() )
1453 P = calcTFI (0.5, 0.5,
1454 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1455 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1456 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1457 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1458 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1460 if ( !F.IsNull() ) // force3d
1462 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1463 GetNodeUV(F,n2,n4,&toCheck) +
1464 GetNodeUV(F,n3,n1,&toCheck) +
1465 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1466 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1467 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1469 else if ( solidID > 0 )
1471 meshDS->SetNodeInVolume( centralNode, solidID );
1473 else if ( myShapeID > 0 && mySetElemOnShape )
1475 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1478 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1482 //=======================================================================
1483 //function : GetCentralNode
1484 //purpose : Return existing or create a new central node for a
1485 // quadratic triangle given its 6 nodes.
1486 //@param : force3d - true means node creation in between the given nodes,
1487 // else node position is found on a geometrical face if any.
1488 //=======================================================================
1490 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1491 const SMDS_MeshNode* n2,
1492 const SMDS_MeshNode* n3,
1493 const SMDS_MeshNode* n12,
1494 const SMDS_MeshNode* n23,
1495 const SMDS_MeshNode* n31,
1498 SMDS_MeshNode *centralNode = 0; // central node to return
1500 // Find an existing central node
1502 TBiQuad keyOfMap(n1,n2,n3);
1503 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1504 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1505 if ( itMapCentralNode != myMapWithCentralNode.end() )
1507 return (*itMapCentralNode).second;
1510 // Get type of shape for the new central node
1512 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1516 TopTools_ListIteratorOfListOfShape it;
1518 std::map< int, int > faceId2nbNodes;
1519 std::map< int, int > ::iterator itMapWithIdFace;
1521 SMESHDS_Mesh* meshDS = GetMeshDS();
1523 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1524 // on sub-shapes of the FACE
1525 if ( GetMesh()->HasShapeToMesh() )
1527 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1528 for(int i = 0; i < 3; i++)
1530 shape = GetSubShapeByNode( nodes[i], meshDS );
1531 if ( shape.IsNull() ) break;
1532 if ( shape.ShapeType() == TopAbs_SOLID )
1534 solidID = nodes[i]->getshapeId();
1535 shapeType = TopAbs_SOLID;
1538 if ( shape.ShapeType() == TopAbs_FACE )
1540 faceID = nodes[i]->getshapeId();
1541 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1542 itMapWithIdFace->second++;
1546 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1547 while ( const TopoDS_Shape* face = it->next() )
1549 faceID = meshDS->ShapeToIndex( *face );
1550 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1551 itMapWithIdFace->second++;
1556 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1558 // find ID of the FACE the four corner nodes belong to
1559 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1560 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1561 itMapWithIdFace->second == 4 )
1563 shapeType = TopAbs_FACE;
1568 itMapWithIdFace = faceId2nbNodes.begin();
1569 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1571 if ( itMapWithIdFace->second == 3 )
1573 shapeType = TopAbs_FACE;
1574 faceID = (*itMapWithIdFace).first;
1584 if ( shapeType == TopAbs_FACE )
1586 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1587 bool checkOK = true, badTria = false;
1589 GetNodeUV( F, n1, n23, &checkOK ),
1590 GetNodeUV( F, n2, n31, &checkOK ),
1591 GetNodeUV( F, n3, n12, &checkOK ),
1592 GetNodeUV( F, n12, n3, &checkOK ),
1593 GetNodeUV( F, n23, n1, &checkOK ),
1594 GetNodeUV( F, n31, n2, &checkOK )
1596 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1598 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1600 if ( badTria || !checkOK )
1604 // Create a central node
1607 if ( !F.IsNull() && !force3d )
1609 TopLoc_Location loc;
1610 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1611 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1612 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1613 // if ( mySetElemOnShape ) node is not elem!
1614 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1616 else // ( force3d || F.IsNull() )
1618 P = ( SMESH_TNodeXYZ( n12 ) +
1619 SMESH_TNodeXYZ( n23 ) +
1620 SMESH_TNodeXYZ( n31 ) ) / 3;
1621 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1623 if ( !F.IsNull() ) // force3d
1625 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1627 else if ( solidID > 0 )
1629 meshDS->SetNodeInVolume( centralNode, solidID );
1631 else if ( myShapeID > 0 && mySetElemOnShape )
1633 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1636 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1640 //=======================================================================
1641 //function : GetMediumNode
1642 //purpose : Return existing or create a new medium node between given ones
1643 //=======================================================================
1645 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1646 const SMDS_MeshNode* n2,
1648 TopAbs_ShapeEnum expectedSupport)
1650 // Find existing node
1652 SMESH_TLink link(n1,n2);
1653 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1654 if ( itLN != myTLinkNodeMap.end() ) {
1655 return (*itLN).second;
1658 // Create medium node
1661 SMESHDS_Mesh* meshDS = GetMeshDS();
1663 if ( IsSeamShape( n1->getshapeId() ))
1664 // to get a correct UV of a node on seam, the second node must have checked UV
1665 std::swap( n1, n2 );
1667 // get type of shape for the new medium node
1668 int faceID = -1, edgeID = -1;
1669 TopoDS_Edge E; double u [2] = {0.,0.};
1670 TopoDS_Face F; gp_XY uv[2];
1671 bool uvOK[2] = { true, true };
1672 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1674 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1676 // get positions of the given nodes on shapes
1677 if ( pos.second == TopAbs_FACE )
1679 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1680 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1682 ( HasDegeneratedEdges() || GetSurface( F )->HasSingularities( 1e-7 )))
1684 // IPAL52850 (degen VERTEX not at singularity)
1685 // project middle point to a surface
1686 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1687 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1688 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
1691 uvMid = projector->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1693 uvMid = projector->ValueOfUV( pMid, getFaceMaxTol( F ));
1694 if ( projector->Gap() * projector->Gap() < ( p1 - p2 ).SquareModulus() / 4 )
1696 gp_Pnt pProj = projector->Value( uvMid );
1697 n12 = meshDS->AddNode( pProj.X(), pProj.Y(), pProj.Z() );
1698 meshDS->SetNodeOnFace( n12, faceID, uvMid.X(), uvMid.Y() );
1699 myTLinkNodeMap.insert( make_pair ( link, n12 ));
1703 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1705 else if ( pos.second == TopAbs_EDGE )
1707 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1708 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1709 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1710 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1711 n1->getshapeId() != n2->getshapeId() )
1714 return getMediumNodeOnComposedWire(n1,n2,force3d);
1716 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1718 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1719 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1721 catch ( Standard_Failure& f )
1723 // issue 22502 / a node is on VERTEX not belonging to E
1724 // issue 22568 / both nodes are on non-connected VERTEXes
1725 return getMediumNodeOnComposedWire(n1,n2,force3d);
1729 if ( !force3d & uvOK[0] && uvOK[1] )
1731 // we try to create medium node using UV parameters of
1732 // nodes, else - medium between corresponding 3d points
1735 //if ( uvOK[0] && uvOK[1] )
1737 if ( IsDegenShape( n1->getshapeId() )) {
1738 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1739 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1741 else if ( IsDegenShape( n2->getshapeId() )) {
1742 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1743 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1745 TopLoc_Location loc;
1746 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1747 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1748 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1749 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1750 // if ( mySetElemOnShape ) node is not elem!
1751 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1752 myTLinkNodeMap.insert(make_pair(link,n12));
1756 else if ( !E.IsNull() )
1759 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1762 Standard_Boolean isPeriodic = C->IsPeriodic();
1765 Standard_Real Period = C->Period();
1766 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1767 Standard_Real pmid = (u[0]+p)/2.;
1768 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1773 gp_Pnt P = C->Value( U );
1774 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1775 //if ( mySetElemOnShape ) node is not elem!
1776 meshDS->SetNodeOnEdge(n12, edgeID, U);
1777 myTLinkNodeMap.insert(make_pair(link,n12));
1784 double x = ( n1->X() + n2->X() )/2.;
1785 double y = ( n1->Y() + n2->Y() )/2.;
1786 double z = ( n1->Z() + n2->Z() )/2.;
1787 n12 = meshDS->AddNode(x,y,z);
1789 //if ( mySetElemOnShape ) node is not elem!
1793 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1794 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1795 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1797 else if ( !E.IsNull() )
1799 double U = ( u[0] + u[1] ) / 2.;
1800 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1801 meshDS->SetNodeOnEdge(n12, edgeID, U);
1803 else if ( myShapeID > 0 && mySetElemOnShape )
1805 meshDS->SetMeshElementOnShape(n12, myShapeID);
1809 myTLinkNodeMap.insert( make_pair( link, n12 ));
1813 //================================================================================
1815 * \brief Makes a medium node if nodes reside different edges
1817 //================================================================================
1819 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1820 const SMDS_MeshNode* n2,
1823 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1824 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1825 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1827 // To find position on edge and 3D position for n12,
1828 // project <middle> to 2 edges and select projection most close to <middle>
1830 TopoDS_Edge bestEdge;
1831 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1833 // get shapes under the nodes
1834 TopoDS_Shape shape[2];
1836 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1838 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1839 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1841 shape[ nbShapes++ ] = S;
1844 vector< TopoDS_Shape > edges;
1845 for ( int iS = 0; iS < nbShapes; ++iS )
1847 switch ( shape[iS].ShapeType() ) {
1850 edges.push_back( shape[iS] );
1856 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1857 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1859 if ( edge.IsNull() )
1861 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1862 while( const TopoDS_Shape* e = eIt->next() )
1863 edges.push_back( *e );
1869 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1870 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1871 edges.push_back( e.Current() );
1878 // project to get U of projection and distance from middle to projection
1879 for ( size_t iE = 0; iE < edges.size(); ++iE )
1881 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1882 distXYZ[0] = distMiddleProj;
1884 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1885 if ( distXYZ[0] < distMiddleProj )
1887 distMiddleProj = distXYZ[0];
1893 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1894 // TopoDS_Vertex vCommon;
1895 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1896 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1899 // double f,l, u0 = GetNodeU( edges[0], n1 );
1900 // BRep_Tool::Range( edges[0],f,l );
1901 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1904 // distMiddleProj = 0;
1907 if ( !bestEdge.IsNull() )
1909 // move n12 to position of a successful projection
1910 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1911 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1913 TopLoc_Location loc;
1914 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1915 gp_Pnt p = curve->Value( u ).Transformed( loc );
1916 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1918 //if ( mySetElemOnShape ) node is not elem!
1920 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1921 if ( edgeID != n12->getshapeId() )
1922 GetMeshDS()->UnSetNodeOnShape( n12 );
1923 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1926 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1931 //=======================================================================
1932 //function : AddNode
1933 //purpose : Creates a node
1934 //=======================================================================
1936 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1939 SMESHDS_Mesh * meshDS = GetMeshDS();
1940 SMDS_MeshNode* node = 0;
1942 node = meshDS->AddNodeWithID( x, y, z, ID );
1944 node = meshDS->AddNode( x, y, z );
1945 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1946 switch ( myShape.ShapeType() ) {
1947 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1948 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1949 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1950 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1951 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1958 //=======================================================================
1959 //function : AddEdge
1960 //purpose : Creates quadratic or linear edge
1961 //=======================================================================
1963 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1964 const SMDS_MeshNode* n2,
1968 SMESHDS_Mesh * meshDS = GetMeshDS();
1970 SMDS_MeshEdge* edge = 0;
1971 if (myCreateQuadratic) {
1972 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1974 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1976 edge = meshDS->AddEdge(n1, n2, n12);
1980 edge = meshDS->AddEdgeWithID(n1, n2, id);
1982 edge = meshDS->AddEdge(n1, n2);
1985 if ( mySetElemOnShape && myShapeID > 0 )
1986 meshDS->SetMeshElementOnShape( edge, myShapeID );
1991 //=======================================================================
1992 //function : AddFace
1993 //purpose : Creates quadratic or linear triangle
1994 //=======================================================================
1996 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1997 const SMDS_MeshNode* n2,
1998 const SMDS_MeshNode* n3,
2002 SMESHDS_Mesh * meshDS = GetMeshDS();
2003 SMDS_MeshFace* elem = 0;
2005 if( n1==n2 || n2==n3 || n3==n1 )
2008 if(!myCreateQuadratic) {
2010 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
2012 elem = meshDS->AddFace(n1, n2, n3);
2015 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2016 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2017 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
2018 if(myCreateBiQuadratic)
2020 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
2022 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
2024 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
2029 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
2031 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
2034 if ( mySetElemOnShape && myShapeID > 0 )
2035 meshDS->SetMeshElementOnShape( elem, myShapeID );
2040 //=======================================================================
2041 //function : AddFace
2042 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
2043 //=======================================================================
2045 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2046 const SMDS_MeshNode* n2,
2047 const SMDS_MeshNode* n3,
2048 const SMDS_MeshNode* n4,
2052 SMESHDS_Mesh * meshDS = GetMeshDS();
2053 SMDS_MeshFace* elem = 0;
2056 return AddFace(n1,n3,n4,id,force3d);
2059 return AddFace(n1,n2,n4,id,force3d);
2062 return AddFace(n1,n2,n3,id,force3d);
2065 return AddFace(n1,n2,n4,id,force3d);
2068 return AddFace(n1,n2,n3,id,force3d);
2071 return AddFace(n1,n2,n3,id,force3d);
2074 if(!myCreateQuadratic) {
2076 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2078 elem = meshDS->AddFace(n1, n2, n3, n4);
2081 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2082 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2083 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2084 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2085 if(myCreateBiQuadratic)
2087 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2089 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2091 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2096 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2098 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2101 if ( mySetElemOnShape && myShapeID > 0 )
2102 meshDS->SetMeshElementOnShape( elem, myShapeID );
2107 //=======================================================================
2108 //function : AddPolygonalFace
2109 //purpose : Creates polygon, with additional nodes in quadratic mesh
2110 //=======================================================================
2112 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2116 SMESHDS_Mesh * meshDS = GetMeshDS();
2117 SMDS_MeshFace* elem = 0;
2119 if(!myCreateQuadratic)
2122 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2124 elem = meshDS->AddPolygonalFace(nodes);
2128 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2130 for ( size_t i = 0; i < nodes.size(); ++i )
2132 const SMDS_MeshNode* n1 = nodes[i];
2133 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2134 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2135 newNodes.push_back( n12 );
2138 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2140 elem = meshDS->AddQuadPolygonalFace(newNodes);
2142 if ( mySetElemOnShape && myShapeID > 0 )
2143 meshDS->SetMeshElementOnShape( elem, myShapeID );
2148 //=======================================================================
2149 //function : AddVolume
2150 //purpose : Creates quadratic or linear prism
2151 //=======================================================================
2153 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2154 const SMDS_MeshNode* n2,
2155 const SMDS_MeshNode* n3,
2156 const SMDS_MeshNode* n4,
2157 const SMDS_MeshNode* n5,
2158 const SMDS_MeshNode* n6,
2162 SMESHDS_Mesh * meshDS = GetMeshDS();
2163 SMDS_MeshVolume* elem = 0;
2164 if(!myCreateQuadratic) {
2166 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2168 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2171 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2172 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2173 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2175 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2176 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2177 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2179 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2180 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2181 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2184 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2185 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2187 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2188 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2190 if ( mySetElemOnShape && myShapeID > 0 )
2191 meshDS->SetMeshElementOnShape( elem, myShapeID );
2196 //=======================================================================
2197 //function : AddVolume
2198 //purpose : Creates quadratic or linear tetrahedron
2199 //=======================================================================
2201 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2202 const SMDS_MeshNode* n2,
2203 const SMDS_MeshNode* n3,
2204 const SMDS_MeshNode* n4,
2208 SMESHDS_Mesh * meshDS = GetMeshDS();
2209 SMDS_MeshVolume* elem = 0;
2210 if(!myCreateQuadratic) {
2212 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2214 elem = meshDS->AddVolume(n1, n2, n3, n4);
2217 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2218 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2219 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2221 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2222 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2223 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2226 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2228 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2230 if ( mySetElemOnShape && myShapeID > 0 )
2231 meshDS->SetMeshElementOnShape( elem, myShapeID );
2236 //=======================================================================
2237 //function : AddVolume
2238 //purpose : Creates quadratic or linear pyramid
2239 //=======================================================================
2241 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2242 const SMDS_MeshNode* n2,
2243 const SMDS_MeshNode* n3,
2244 const SMDS_MeshNode* n4,
2245 const SMDS_MeshNode* n5,
2249 SMDS_MeshVolume* elem = 0;
2250 if(!myCreateQuadratic) {
2252 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2254 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2257 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2258 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2259 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2260 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2262 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2263 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2264 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2265 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2268 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2273 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2275 n15, n25, n35, n45);
2277 if ( mySetElemOnShape && myShapeID > 0 )
2278 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2283 //=======================================================================
2284 //function : AddVolume
2285 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2286 //=======================================================================
2288 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2289 const SMDS_MeshNode* n2,
2290 const SMDS_MeshNode* n3,
2291 const SMDS_MeshNode* n4,
2292 const SMDS_MeshNode* n5,
2293 const SMDS_MeshNode* n6,
2294 const SMDS_MeshNode* n7,
2295 const SMDS_MeshNode* n8,
2299 SMESHDS_Mesh * meshDS = GetMeshDS();
2300 SMDS_MeshVolume* elem = 0;
2301 if(!myCreateQuadratic) {
2303 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2305 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2308 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2309 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2310 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2311 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2313 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2314 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2315 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2316 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2318 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2319 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2320 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2321 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2322 if ( myCreateBiQuadratic )
2324 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2325 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2326 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2327 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2328 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2329 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2331 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2333 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2334 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2335 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2336 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2337 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2338 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2339 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2340 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2342 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2343 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2344 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2345 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2346 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2347 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2348 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2349 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2350 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2351 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2352 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2353 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2355 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2356 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2357 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2358 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2359 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2360 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2362 gp_XYZ centerCube(0.5, 0.5, 0.5);
2364 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2365 const SMDS_MeshNode* nCenter =
2366 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2367 meshDS->SetNodeInVolume( nCenter, myShapeID );
2370 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2371 n12, n23, n34, n41, n56, n67,
2372 n78, n85, n15, n26, n37, n48,
2373 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2375 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2376 n12, n23, n34, n41, n56, n67,
2377 n78, n85, n15, n26, n37, n48,
2378 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2383 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2384 n12, n23, n34, n41, n56, n67,
2385 n78, n85, n15, n26, n37, n48, id);
2387 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2388 n12, n23, n34, n41, n56, n67,
2389 n78, n85, n15, n26, n37, n48);
2392 if ( mySetElemOnShape && myShapeID > 0 )
2393 meshDS->SetMeshElementOnShape( elem, myShapeID );
2398 //=======================================================================
2399 //function : AddVolume
2400 //purpose : Creates LINEAR!!!!!!!!! octahedron
2401 //=======================================================================
2403 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2404 const SMDS_MeshNode* n2,
2405 const SMDS_MeshNode* n3,
2406 const SMDS_MeshNode* n4,
2407 const SMDS_MeshNode* n5,
2408 const SMDS_MeshNode* n6,
2409 const SMDS_MeshNode* n7,
2410 const SMDS_MeshNode* n8,
2411 const SMDS_MeshNode* n9,
2412 const SMDS_MeshNode* n10,
2413 const SMDS_MeshNode* n11,
2414 const SMDS_MeshNode* n12,
2418 SMESHDS_Mesh * meshDS = GetMeshDS();
2419 SMDS_MeshVolume* elem = 0;
2421 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2423 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2424 if ( mySetElemOnShape && myShapeID > 0 )
2425 meshDS->SetMeshElementOnShape( elem, myShapeID );
2429 //=======================================================================
2430 //function : AddPolyhedralVolume
2431 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2432 //=======================================================================
2435 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2436 const std::vector<int>& quantities,
2440 SMESHDS_Mesh * meshDS = GetMeshDS();
2441 SMDS_MeshVolume* elem = 0;
2442 if(!myCreateQuadratic)
2445 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2447 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2451 vector<const SMDS_MeshNode*> newNodes;
2452 vector<int> newQuantities;
2453 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2455 int nbNodesInFace = quantities[iFace];
2456 newQuantities.push_back(0);
2457 for ( int i = 0; i < nbNodesInFace; ++i )
2459 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2460 newNodes.push_back( n1 );
2461 newQuantities.back()++;
2463 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2464 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2465 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2467 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2468 newNodes.push_back( n12 );
2469 newQuantities.back()++;
2472 iN += nbNodesInFace;
2475 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2477 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2479 if ( mySetElemOnShape && myShapeID > 0 )
2480 meshDS->SetMeshElementOnShape( elem, myShapeID );
2487 //================================================================================
2489 * \brief Check if a node belongs to any face of sub-mesh
2491 //================================================================================
2493 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2495 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2496 while ( fIt->more() )
2497 if ( sm->Contains( fIt->next() ))
2503 //=======================================================================
2504 //function : IsSameElemGeometry
2505 //purpose : Returns true if all elements of a sub-mesh are of same shape
2506 //=======================================================================
2508 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2509 SMDSAbs_GeometryType shape,
2510 const bool nullSubMeshRes)
2512 if ( !smDS ) return nullSubMeshRes;
2514 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2515 while ( elemIt->more() ) {
2516 const SMDS_MeshElement* e = elemIt->next();
2517 if ( e->GetGeomType() != shape )
2523 //=======================================================================
2524 //function : LoadNodeColumns
2525 //purpose : Load nodes bound to face into a map of node columns
2526 //=======================================================================
2528 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2529 const TopoDS_Face& theFace,
2530 const TopoDS_Edge& theBaseEdge,
2531 SMESHDS_Mesh* theMesh,
2532 SMESH_ProxyMesh* theProxyMesh)
2534 return LoadNodeColumns(theParam2ColumnMap,
2536 std::list<TopoDS_Edge>(1,theBaseEdge),
2541 //=======================================================================
2542 //function : LoadNodeColumns
2543 //purpose : Load nodes bound to face into a map of node columns
2544 //=======================================================================
2546 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2547 const TopoDS_Face& theFace,
2548 const std::list<TopoDS_Edge>& theBaseSide,
2549 SMESHDS_Mesh* theMesh,
2550 SMESH_ProxyMesh* theProxyMesh)
2552 // get a right sub-mesh of theFace
2554 const SMESHDS_SubMesh* faceSubMesh = 0;
2557 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2558 if ( !faceSubMesh ||
2559 faceSubMesh->NbElements() == 0 ||
2560 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2562 // can use a proxy sub-mesh with not temporary elements only
2568 faceSubMesh = theMesh->MeshElements( theFace );
2569 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2572 if ( theParam2ColumnMap.empty() )
2574 // get data of edges for normalization of params
2575 vector< double > length;
2577 list<TopoDS_Edge>::const_iterator edge;
2579 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2581 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2583 length.push_back( len );
2587 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2588 const SMDS_MeshNode* prevEndNodes[2] = { 0, 0 };
2589 edge = theBaseSide.begin();
2590 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2592 map< double, const SMDS_MeshNode*> sortedBaseNN;
2593 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2595 map< double, const SMDS_MeshNode*>::iterator u_n;
2596 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2597 // so the following solution is commented (hope forever :)
2599 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2600 // // SMDSAbs_Edge here is needed to be coherent with
2601 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2602 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2603 // // medium node on EDGE is medium in a triangle but not
2606 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2607 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2608 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2610 // const SMDS_MeshNode* node = u_n->second;
2611 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2612 // if ( faceIt->more() && node ) {
2613 // const SMDS_MeshElement* face = faceIt->next();
2614 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2618 // sortedBaseNN.erase( u_n++ );
2622 if ( sortedBaseNN.empty() ) continue;
2624 u_n = sortedBaseNN.begin();
2625 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2627 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2628 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2629 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2630 n2 != theProxyMesh->GetProxyNode( n2 ));
2631 if ( allNodesAreProxy )
2632 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2633 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2635 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2637 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2638 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2640 if ( !sortedBaseNN.empty() )
2641 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2643 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2644 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2646 if ( sortedBaseNN.empty() ) continue;
2650 BRep_Tool::Range( *edge, f, l );
2651 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2652 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2653 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2654 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2656 if ( u_n->second == prevEndNodes[0] ||
2657 u_n->second == prevEndNodes[1] )
2659 double par = prevPar + coeff * ( u_n->first - f );
2660 TParam2ColumnMap::iterator u2nn =
2661 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2662 u2nn->second.push_back( u_n->second );
2664 prevEndNodes[0] = sortedBaseNN.begin()->second;
2665 prevEndNodes[1] = sortedBaseNN.rbegin()->second;
2667 if ( theParam2ColumnMap.size() < 2 )
2672 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2673 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2675 // fill theParam2ColumnMap column by column by passing from nodes on
2676 // theBaseEdge up via mesh faces on theFace
2678 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2679 par_nVec_2 = theParam2ColumnMap.begin();
2680 par_nVec_1 = par_nVec_2++;
2681 TIDSortedElemSet emptySet, avoidSet;
2682 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2684 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2685 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2686 nCol1.resize( prevNbRows + expectNbRows );
2687 nCol2.resize( prevNbRows + expectNbRows );
2689 int i1, i2; size_t foundNbRows = 0;
2690 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2691 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2692 // find face sharing node n1 and n2 and belonging to faceSubMesh
2693 while ( const SMDS_MeshElement* face =
2694 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2696 if ( faceSubMesh->Contains( face ))
2698 int nbNodes = face->NbCornerNodes();
2701 if ( foundNbRows + 1 > expectNbRows )
2703 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2704 n2 = face->GetNode( (i1+2) % 4 );
2705 nCol1[ prevNbRows + foundNbRows] = n1;
2706 nCol2[ prevNbRows + foundNbRows] = n2;
2709 avoidSet.insert( face );
2711 if ((size_t) foundNbRows != expectNbRows )
2715 return ( theParam2ColumnMap.size() > 1 &&
2716 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2721 //================================================================================
2723 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2725 //================================================================================
2727 bool isCornerOfStructure( const SMDS_MeshNode* n,
2728 const SMESHDS_SubMesh* faceSM,
2729 SMESH_MesherHelper& faceAnalyser )
2731 int nbFacesInSM = 0;
2733 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2734 while ( fIt->more() )
2735 nbFacesInSM += faceSM->Contains( fIt->next() );
2737 if ( nbFacesInSM == 1 )
2740 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2742 return faceAnalyser.IsRealSeam( n->getshapeId() );
2748 //=======================================================================
2749 //function : IsStructured
2750 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2751 //=======================================================================
2753 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2755 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2756 if ( !fSM || fSM->NbElements() == 0 )
2759 list< TopoDS_Edge > edges;
2760 list< int > nbEdgesInWires;
2761 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2762 edges, nbEdgesInWires );
2763 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2766 // algo: find corners of a structure and then analyze nb of faces and
2767 // length of structure sides
2769 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2770 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2771 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2773 // rotate edges to get the first node being at corner
2774 // (in principle it's not necessary because so far none SALOME algo can make
2775 // such a structured mesh that all corner nodes are not on VERTEXes)
2776 bool isCorner = false;
2777 int nbRemainEdges = nbEdgesInWires.front();
2779 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2780 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2783 edges.splice( edges.end(), edges, edges.begin() );
2787 while ( !isCorner && nbRemainEdges > 0 );
2792 // get all nodes from EDGEs
2793 list< const SMDS_MeshNode* > nodes;
2794 list< TopoDS_Edge >::iterator edge = edges.begin();
2795 for ( ; edge != edges.end(); ++edge )
2797 map< double, const SMDS_MeshNode* > u2Nodes;
2798 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2799 /*skipMedium=*/true, u2Nodes ))
2802 list< const SMDS_MeshNode* > edgeNodes;
2803 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2804 for ( ; u2n != u2Nodes.end(); ++u2n )
2805 edgeNodes.push_back( u2n->second );
2806 if ( edge->Orientation() == TopAbs_REVERSED )
2807 edgeNodes.reverse();
2809 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2810 edgeNodes.pop_front();
2811 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2814 // get length of structured sides
2815 vector<int> nbEdgesInSide;
2817 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2818 for ( ; n != nodes.end(); ++n )
2821 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2822 nbEdgesInSide.push_back( nbEdges );
2828 if ( nbEdgesInSide.size() != 4 )
2830 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2832 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2834 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2840 //=======================================================================
2841 //function : IsDistorted2D
2842 //purpose : Return true if 2D mesh on FACE is ditorted
2843 //=======================================================================
2845 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2847 SMESH_MesherHelper* faceHelper)
2849 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2852 bool haveBadFaces = false;
2854 SMESH_MesherHelper helper( *faceSM->GetFather() );
2856 helper.CopySubShapeInfo( *faceHelper );
2857 helper.SetSubShape( faceSM->GetSubShape() );
2859 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2860 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2861 if ( !smDS || smDS->NbElements() == 0 ) return false;
2863 bool subIdsValid = true; // shape ID of nodes is OK
2864 if ( helper.HasSeam() )
2866 // check if nodes are bound to seam edges
2867 SMESH_subMeshIteratorPtr smIt = faceSM->getDependsOnIterator(/*includeSelf=*/false);
2868 while ( smIt->more() && subIdsValid )
2870 SMESH_subMesh* sm = smIt->next();
2871 if ( helper.IsSeamShape( sm->GetId() ) && sm->IsEmpty() )
2872 subIdsValid = false;
2875 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2876 double prevArea = 0;
2877 vector< const SMDS_MeshNode* > nodes;
2879 bool* toCheckUV = checkUV ? & checkUV : 0;
2880 while ( faceIt->more() && !haveBadFaces )
2882 const SMDS_MeshElement* face = faceIt->next();
2885 nodes.resize( face->NbCornerNodes() );
2886 SMDS_MeshElement::iterator n = face->begin_nodes();
2887 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2890 // avoid elems on degenarate shapes as UV on them can be wrong
2891 if ( helper.HasDegeneratedEdges() )
2893 bool isOnDegen = false;
2894 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2895 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2899 // prepare for getting UVs
2900 const SMDS_MeshNode* inFaceNode = 0;
2901 if ( helper.HasSeam() ) {
2902 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2903 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2905 inFaceNode = nodes[ i ];
2908 gp_XY uv = helper.GetNodeUV( F, inFaceNode );
2909 if ( helper.IsOnSeam( uv ))
2917 uv.resize( nodes.size() );
2918 for ( size_t i = 0; i < nodes.size(); ++i )
2919 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2921 if ( !subIdsValid ) // fix uv on seam
2923 gp_XY uvInFace = helper.GetNodeUV( F, inFaceNode );
2924 for ( size_t i = 0; i < uv.size(); ++i )
2925 if ( helper.IsOnSeam( uv[i] ))
2926 uv[i] = helper.getUVOnSeam( uv[i], uvInFace ).XY();
2929 // compare orientation of triangles
2930 double faceArea = 0;
2931 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2933 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2934 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2935 faceArea += v2 ^ v1;
2937 haveBadFaces = ( faceArea * prevArea < 0 );
2938 prevArea = faceArea;
2941 return haveBadFaces;
2944 //================================================================================
2946 * \brief Find out elements orientation on a geometrical face
2947 * \param theFace - The face correctly oriented in the shape being meshed
2948 * \retval bool - true if the face normal and the normal of first element
2949 * in the correspoding submesh point in different directions
2951 //================================================================================
2953 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2955 if ( theFace.IsNull() )
2958 // find out orientation of a meshed face
2959 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2960 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2961 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2963 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2964 if ( !aSubMeshDSFace )
2967 // find an element on a bounday of theFace
2968 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2969 const SMDS_MeshNode* nn[2];
2970 while ( iteratorElem->more() ) // loop on elements on theFace
2972 const SMDS_MeshElement* elem = iteratorElem->next();
2973 if ( ! elem ) continue;
2975 // look for 2 nodes on EDGE
2976 int nbNodes = elem->NbCornerNodes();
2977 nn[0] = elem->GetNode( nbNodes-1 );
2978 for ( int iN = 0; iN < nbNodes; ++iN )
2980 nn[1] = elem->GetNode( iN );
2981 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2982 nn[1]->GetPosition()->GetDim() < 2 )
2984 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2985 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2986 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2987 if ( !E.IsNull() && !s0.IsSame( s1 ) && E.Orientation() != TopAbs_INTERNAL )
2991 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2992 if ( E.IsSame( exp.Current() )) {
2994 E = exp.Current(); // to know orientation
2999 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
3000 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
3003 // check that the 2 nodes are connected with a segment (IPAL53055)
3005 const SMDS_MeshElement* seg;
3006 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
3007 if (( sm->NbElements() > 0 ) &&
3008 ( seg = GetMeshDS()->FindEdge( nn[0], nn[1] )))
3009 ok = sm->Contains( seg );
3013 isReversed = ( u0 > u1 );
3014 if ( E.Orientation() == TopAbs_REVERSED )
3015 isReversed = !isReversed;
3025 // find an element with a good normal
3027 bool normalOK = false;
3029 iteratorElem = aSubMeshDSFace->GetElements();
3030 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
3032 const SMDS_MeshElement* elem = iteratorElem->next();
3033 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
3037 // get UV of a node inside theFACE
3038 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
3039 const SMDS_MeshNode* nInFace = 0;
3040 int iPosDim = SMDS_TOP_VERTEX;
3041 while ( nodesIt->more() ) // loop on nodes
3043 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
3044 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
3047 iPosDim = n->GetPosition()->GetTypeOfPosition();
3050 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
3055 // face normal at node position
3056 TopLoc_Location loc;
3057 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
3058 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
3059 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
3060 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
3063 gp_Vec d1u, d1v; gp_Pnt p;
3064 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
3065 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
3067 if ( theFace.Orientation() == TopAbs_REVERSED )
3070 return Ne * Nf < 0.;
3073 //=======================================================================
3075 //purpose : Count nb of sub-shapes
3076 //=======================================================================
3078 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
3079 const TopAbs_ShapeEnum type,
3080 const bool ignoreSame)
3083 TopTools_IndexedMapOfShape map;
3084 TopExp::MapShapes( shape, type, map );
3085 return map.Extent();
3089 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
3095 //=======================================================================
3096 //function : NbAncestors
3097 //purpose : Return number of unique ancestors of the shape
3098 //=======================================================================
3100 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3101 const SMESH_Mesh& mesh,
3102 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3104 TopTools_MapOfShape ancestors;
3105 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3106 for ( ; ansIt.More(); ansIt.Next() ) {
3107 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3108 ancestors.Add( ansIt.Value() );
3110 return ancestors.Extent();
3113 //=======================================================================
3114 //function : GetSubShapeOri
3115 //purpose : Return orientation of sub-shape in the main shape
3116 //=======================================================================
3118 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3119 const TopoDS_Shape& subShape)
3121 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3122 if ( !shape.IsNull() && !subShape.IsNull() )
3124 TopExp_Explorer e( shape, subShape.ShapeType() );
3125 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3126 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3127 for ( ; e.More(); e.Next())
3128 if ( subShape.IsSame( e.Current() ))
3131 ori = e.Current().Orientation();
3136 //=======================================================================
3137 //function : IsSubShape
3139 //=======================================================================
3141 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3142 const TopoDS_Shape& mainShape )
3144 if ( !shape.IsNull() && !mainShape.IsNull() )
3146 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3149 if ( shape.IsSame( exp.Current() ))
3155 //=======================================================================
3156 //function : IsSubShape
3158 //=======================================================================
3160 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3162 if ( shape.IsNull() || !aMesh )
3165 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3167 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3170 //=======================================================================
3171 //function : IsBlock
3173 //=======================================================================
3175 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3177 if ( shape.IsNull() )
3181 TopExp_Explorer exp( shape, TopAbs_SHELL );
3182 if ( !exp.More() ) return false;
3183 shell = TopoDS::Shell( exp.Current() );
3184 if ( exp.Next(), exp.More() ) return false;
3187 TopTools_IndexedMapOfOrientedShape map;
3188 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3192 //================================================================================
3194 * \brief Return maximal tolerance of shape
3196 //================================================================================
3198 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3200 double tol = Precision::Confusion();
3201 TopExp_Explorer exp;
3202 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3203 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3204 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3205 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3206 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3207 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3212 //================================================================================
3214 * \brief Return MaxTolerance( face ), probably cached
3216 //================================================================================
3218 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3220 int faceID = GetMeshDS()->ShapeToIndex( face );
3222 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3223 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3225 tol = MaxTolerance( face );
3230 //================================================================================
3232 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3233 * of the FACE normal
3234 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3235 * 1e100 in case of failure
3236 * \warning Care about order of the EDGEs and their orientation to be as they are
3237 * within the FACE! Don't pass degenerated EDGEs neither!
3239 //================================================================================
3241 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3242 const TopoDS_Edge & theE2,
3243 const TopoDS_Face & theFace,
3244 const TopoDS_Vertex & theCommonV,
3245 gp_Vec* theFaceNormal)
3247 double angle = 1e100;
3251 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3252 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3253 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3254 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3255 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3256 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3257 if ( c1.IsNull() || c2.IsNull() )
3259 gp_XY uv = c2d1->Value( p1 ).XY();
3260 gp_Vec du, dv; gp_Pnt p;
3261 surf->D1( uv.X(), uv.Y(), p, du, dv );
3262 gp_Vec vec1, vec2, vecRef = du ^ dv;
3265 while ( vecRef.SquareMagnitude() < 1e-25 )
3267 double dp = ( l - f ) / 1000.;
3268 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3269 uv = c2d1->Value( p1tmp ).XY();
3270 surf->D1( uv.X(), uv.Y(), p, du, dv );
3272 if ( ++nbLoops > 10 )
3275 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3280 if ( theFace.Orientation() == TopAbs_REVERSED )
3282 if ( theFaceNormal ) *theFaceNormal = vecRef;
3284 c1->D1( p1, p, vec1 );
3285 c2->D1( p2, p, vec2 );
3286 // TopoDS_Face F = theFace;
3287 // if ( F.Orientation() == TopAbs_INTERNAL )
3288 // F.Orientation( TopAbs_FORWARD );
3289 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3291 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3293 angle = vec1.AngleWithRef( vec2, vecRef );
3295 if ( Abs ( angle ) >= 0.99 * M_PI )
3297 BRep_Tool::Range( theE1, f, l );
3298 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3299 c1->D1( p1, p, vec1 );
3300 if ( theE1.Orientation() == TopAbs_REVERSED )
3302 BRep_Tool::Range( theE2, f, l );
3303 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3304 c2->D1( p2, p, vec2 );
3305 if ( theE2.Orientation() == TopAbs_REVERSED )
3307 angle = vec1.AngleWithRef( vec2, vecRef );
3316 //================================================================================
3318 * \brief Check if the first and last vertices of an edge are the same
3319 * \param anEdge - the edge to check
3320 * \retval bool - true if same
3322 //================================================================================
3324 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3326 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3327 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3328 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3331 //================================================================================
3333 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3334 * in the case of INTERNAL edge
3336 //================================================================================
3338 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3342 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3343 anEdge.Orientation( TopAbs_FORWARD );
3345 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3346 TopoDS_Iterator vIt( anEdge, CumOri );
3347 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3350 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3353 //================================================================================
3355 * \brief Return type of shape contained in a group
3356 * \param group - a shape of type TopAbs_COMPOUND
3357 * \param avoidCompound - not to return TopAbs_COMPOUND
3359 //================================================================================
3361 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3362 const bool avoidCompound)
3364 if ( !group.IsNull() )
3366 if ( group.ShapeType() != TopAbs_COMPOUND )
3367 return group.ShapeType();
3369 // iterate on a compound
3370 TopoDS_Iterator it( group );
3372 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3374 return TopAbs_SHAPE;
3377 //================================================================================
3379 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3380 * \param [in] hyp - the hypothesis
3381 * \param [in] shape - the shape, for meshing which the \a hyp is used
3382 * \param [in] mesh - the mesh
3383 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3385 //================================================================================
3387 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3388 const TopoDS_Shape& shape,
3391 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3392 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3394 TopoDS_Shape shapeOfHyp;
3395 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3399 //=======================================================================
3400 //function : IsQuadraticMesh
3401 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3402 // quadratic elements will be created.
3403 // Used then generated 3D mesh without geometry.
3404 //=======================================================================
3406 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3408 int NbAllEdgsAndFaces=0;
3409 int NbQuadFacesAndEdgs=0;
3410 int NbFacesAndEdges=0;
3411 //All faces and edges
3412 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3413 if ( NbAllEdgsAndFaces == 0 )
3414 return SMESH_MesherHelper::LINEAR;
3416 //Quadratic faces and edges
3417 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3419 //Linear faces and edges
3420 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3422 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3424 return SMESH_MesherHelper::QUADRATIC;
3426 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3428 return SMESH_MesherHelper::LINEAR;
3431 //Mesh with both type of elements
3432 return SMESH_MesherHelper::COMP;
3435 //=======================================================================
3436 //function : GetOtherParam
3437 //purpose : Return an alternative parameter for a node on seam
3438 //=======================================================================
3440 double SMESH_MesherHelper::GetOtherParam(const double param) const
3442 int i = myParIndex & U_periodic ? 0 : 1;
3443 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3446 //=======================================================================
3447 //function : IsOnSeam
3448 //purpose : Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
3449 //=======================================================================
3451 int SMESH_MesherHelper::IsOnSeam(const gp_XY& uv) const
3453 for ( int i = U_periodic; i <= V_periodic ; ++i )
3454 if ( myParIndex & i )
3456 double p = uv.Coord( i );
3457 double tol = ( myPar2[i-1] - myPar1[i-1] ) / 100.;
3458 if ( Abs( p - myPar1[i-1] ) < tol ||
3459 Abs( p - myPar2[i-1] ) < tol )
3467 //=======================================================================
3469 * \brief Iterator on ancestors of the given type
3471 //=======================================================================
3473 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3475 TopTools_ListIteratorOfListOfShape _ancIter;
3476 TopAbs_ShapeEnum _type;
3477 TopTools_MapOfShape _encountered;
3478 TopTools_IndexedMapOfShape _allowed;
3479 TAncestorsIterator( const TopTools_ListOfShape& ancestors,
3480 TopAbs_ShapeEnum type,
3481 const TopoDS_Shape* container/* = 0*/)
3482 : _ancIter( ancestors ), _type( type )
3484 if ( container && !container->IsNull() )
3485 TopExp::MapShapes( *container, type, _allowed);
3486 if ( _ancIter.More() ) {
3487 if ( !isCurrentAllowed() ) next();
3488 else _encountered.Add( _ancIter.Value() );
3493 return _ancIter.More();
3495 virtual const TopoDS_Shape* next()
3497 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3498 if ( _ancIter.More() )
3499 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3500 if ( isCurrentAllowed() && _encountered.Add( _ancIter.Value() ))
3504 bool isCurrentAllowed()
3506 return (( _ancIter.Value().ShapeType() == _type ) &&
3507 ( _allowed.IsEmpty() || _allowed.Contains( _ancIter.Value() )));
3513 //=======================================================================
3515 * \brief Return iterator on ancestors of the given type, included into a container shape
3517 //=======================================================================
3519 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3520 const SMESH_Mesh& mesh,
3521 TopAbs_ShapeEnum ancestorType,
3522 const TopoDS_Shape* container)
3524 return PShapeIteratorPtr
3525 ( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType, container));
3528 //=======================================================================
3529 //function : GetCommonAncestor
3530 //purpose : Find a common ancestors of two shapes of the given type
3531 //=======================================================================
3533 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3534 const TopoDS_Shape& shape2,
3535 const SMESH_Mesh& mesh,
3536 TopAbs_ShapeEnum ancestorType)
3538 TopoDS_Shape commonAnc;
3539 if ( !shape1.IsNull() && !shape2.IsNull() )
3541 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3543 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3546 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3547 while ( const TopoDS_Shape* anc = ancIt->next() )
3548 if ( IsSubShape( shape2, *anc ))
3557 //#include <Perf_Meter.hxx>
3559 //=======================================================================
3560 namespace { // Structures used by FixQuadraticElements()
3561 //=======================================================================
3563 #define __DMP__(txt) \
3565 #define MSG(txt) __DMP__(txt<<endl)
3566 #define MSGBEG(txt) __DMP__(txt)
3568 //const double straightTol2 = 1e-33; // to detect straing links
3569 bool isStraightLink(double linkLen2, double middleNodeMove2)
3571 // straight if <node move> < 1/15 * <link length>
3572 return middleNodeMove2 < 1/15./15. * linkLen2;
3576 // ---------------------------------------
3578 * \brief Quadratic link knowing its faces
3580 struct QLink: public SMESH_TLink
3582 const SMDS_MeshNode* _mediumNode;
3583 mutable vector<const QFace* > _faces;
3584 mutable gp_Vec _nodeMove;
3585 mutable int _nbMoves;
3586 mutable bool _is2dFixed; // is moved along surface or in 3D
3588 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3589 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3591 _nodeMove = MediumPnt() - MiddlePnt();
3592 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3594 void SetContinuesFaces() const;
3595 const QFace* GetContinuesFace( const QFace* face ) const;
3596 bool OnBoundary() const;
3597 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3598 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3600 SMDS_TypeOfPosition MediumPos() const
3601 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3602 SMDS_TypeOfPosition EndPos(bool isSecond) const
3603 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3604 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3605 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3607 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3608 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3609 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3610 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3611 bool IsFixedOnSurface() const { return _is2dFixed; }
3612 bool IsStraight() const
3613 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3614 _nodeMove.SquareMagnitude());
3616 bool operator<(const QLink& other) const {
3617 return (node1()->GetID() == other.node1()->GetID() ?
3618 node2()->GetID() < other.node2()->GetID() :
3619 node1()->GetID() < other.node1()->GetID());
3621 // struct PtrComparator {
3622 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3625 // ---------------------------------------------------------
3627 * \brief Link in the chain of links; it connects two faces
3631 const QLink* _qlink;
3632 mutable const QFace* _qfaces[2];
3634 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3635 _qfaces[0] = _qfaces[1] = 0;
3637 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3639 bool IsBoundary() const { return !_qfaces[1]; }
3641 void RemoveFace( const QFace* face ) const
3642 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3644 const QFace* NextFace( const QFace* f ) const
3645 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3647 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3648 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3650 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3652 operator bool() const { return (_qlink); }
3654 const QLink* operator->() const { return _qlink; }
3656 gp_Vec Normal() const;
3658 bool IsStraight() const;
3660 // --------------------------------------------------------------------
3661 typedef list< TChainLink > TChain;
3662 typedef set < TChainLink > TLinkSet;
3663 typedef TLinkSet::const_iterator TLinkInSet;
3665 const int theFirstStep = 5;
3667 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3668 // --------------------------------------------------------------------
3670 * \brief Quadratic face shared by two volumes and bound by QLinks
3672 struct QFace: public TIDSortedNodeSet
3674 mutable const SMDS_MeshElement* _volumes[2];
3675 mutable vector< const QLink* > _sides;
3676 mutable bool _sideIsAdded[4]; // added in chain of links
3679 mutable const SMDS_MeshElement* _face;
3682 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3684 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3686 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3688 void AddSelfToLinks() const {
3689 for ( size_t i = 0; i < _sides.size(); ++i )
3690 _sides[i]->_faces.push_back( this );
3692 int LinkIndex( const QLink* side ) const {
3693 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3696 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3698 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3700 int i = LinkIndex( link._qlink );
3701 if ( i < 0 ) return true;
3702 _sideIsAdded[i] = true;
3703 link.SetFace( this );
3704 // continue from opposite link
3705 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3707 bool IsBoundary() const { return !_volumes[1]; }
3709 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3711 bool IsSpoiled(const QLink* bentLink ) const;
3713 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3714 const TChainLink& avoidLink,
3715 TLinkInSet * notBoundaryLink = 0,
3716 const SMDS_MeshNode* nodeToContain = 0,
3717 bool * isAdjacentUsed = 0,
3718 int nbRecursionsLeft = -1) const;
3720 TLinkInSet GetLinkByNode( const TLinkSet& links,
3721 const TChainLink& avoidLink,
3722 const SMDS_MeshNode* nodeToContain) const;
3724 const SMDS_MeshNode* GetNodeInFace() const {
3725 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3726 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3730 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3732 double MoveByBoundary( const TChainLink& theLink,
3733 const gp_Vec& theRefVec,
3734 const TLinkSet& theLinks,
3735 SMESH_MesherHelper* theFaceHelper=0,
3736 const double thePrevLen=0,
3737 const int theStep=theFirstStep,
3738 gp_Vec* theLinkNorm=0,
3739 double theSign=1.0) const;
3742 //================================================================================
3744 * \brief Dump QLink and QFace
3746 ostream& operator << (ostream& out, const QLink& l)
3748 out <<"QLink nodes: "
3749 << l.node1()->GetID() << " - "
3750 << l._mediumNode->GetID() << " - "
3751 << l.node2()->GetID() << endl;
3754 ostream& operator << (ostream& out, const QFace& f)
3756 out <<"QFace nodes: "/*<< &f << " "*/;
3757 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3758 out << (*n)->GetID() << " ";
3759 out << " \tvolumes: "
3760 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3761 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3762 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3766 //================================================================================
3768 * \brief Construct QFace from QLinks
3770 //================================================================================
3772 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3774 _volumes[0] = _volumes[1] = 0;
3776 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3777 _normal.SetCoord(0,0,0);
3778 for ( size_t i = 1; i < _sides.size(); ++i ) {
3779 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3780 insert( l1->node1() ); insert( l1->node2() );
3782 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3783 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3784 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3788 double normSqSize = _normal.SquareMagnitude();
3789 if ( normSqSize > numeric_limits<double>::min() )
3790 _normal /= sqrt( normSqSize );
3792 _normal.SetCoord(1e-33,0,0);
3798 //================================================================================
3800 * \brief Make up a chain of links
3801 * \param iSide - link to add first
3802 * \param chain - chain to fill in
3803 * \param pos - position of medium nodes the links should have
3804 * \param error - out, specifies what is wrong
3805 * \retval bool - false if valid chain can't be built; "valid" means that links
3806 * of the chain belongs to rectangles bounding hexahedrons
3808 //================================================================================
3810 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3812 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3814 if ( _sideIsAdded[ iSide ]) // already in chain
3817 if ( _sides.size() != 4 ) { // triangle - visit all my continuous faces
3820 list< const QFace* > faces( 1, this );
3821 while ( !faces.empty() ) {
3822 const QFace* face = faces.front();
3823 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3824 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3825 face->_sideIsAdded[i] = true;
3826 // find a face side in the chain
3827 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3828 // TChain::iterator chLink = chain.begin();
3829 // for ( ; chLink != chain.end(); ++chLink )
3830 // if ( chLink->_qlink == face->_sides[i] )
3832 // if ( chLink == chain.end() )
3833 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3834 // add a face to a chained link and put a continues face in the queue
3835 chLink->SetFace( face );
3836 if ( face->_sides[i]->MediumPos() == pos )
3837 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3838 if ( contFace->_sides.size() == 3 )
3839 faces.push_back( contFace );
3844 if ( error < ERR_TRI )
3846 chain.insert( chain.end(), links.begin(),links.end() );
3849 _sideIsAdded[iSide] = true; // not to add this link to chain again
3850 const QLink* link = _sides[iSide];
3854 // add link into chain
3855 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3856 chLink->SetFace( this );
3859 // propagate from a quadrangle to neighbour faces
3860 if ( link->MediumPos() >= pos ) {
3861 int nbLinkFaces = link->_faces.size();
3862 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3863 // hexahedral mesh or boundary quadrangles - goto a continuous face
3864 if ( const QFace* f = link->GetContinuesFace( this ))
3865 if ( f->_sides.size() == 4 )
3866 return f->GetLinkChain( *chLink, chain, pos, error );
3869 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3870 for ( int i = 0; i < nbLinkFaces; ++i )
3871 if ( link->_faces[i] )
3872 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3873 if ( error < ERR_PRISM )
3881 //================================================================================
3883 * \brief Return a boundary link of the triangle face
3884 * \param links - set of all links
3885 * \param avoidLink - link not to return
3886 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3887 * \param nodeToContain - node the returned link must contain; if provided, search
3888 * also performed on adjacent faces
3889 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3890 * \param nbRecursionsLeft - to limit recursion
3892 //================================================================================
3894 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3895 const TChainLink& avoidLink,
3896 TLinkInSet * notBoundaryLink,
3897 const SMDS_MeshNode* nodeToContain,
3898 bool * isAdjacentUsed,
3899 int nbRecursionsLeft) const
3901 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3903 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3904 TFaceLinkList adjacentFaces;
3906 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3908 if ( avoidLink._qlink == _sides[iL] )
3910 TLinkInSet link = links.find( _sides[iL] );
3911 if ( link == linksEnd ) continue;
3912 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3913 continue; // We work on faces here, don't go inside a solid
3916 if ( link->IsBoundary() ) {
3917 if ( !nodeToContain ||
3918 (*link)->node1() == nodeToContain ||
3919 (*link)->node2() == nodeToContain )
3921 boundaryLink = link;
3922 if ( !notBoundaryLink ) break;
3925 else if ( notBoundaryLink ) {
3926 *notBoundaryLink = link;
3927 if ( boundaryLink != linksEnd ) break;
3930 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3931 if ( const QFace* adj = link->NextFace( this ))
3932 if ( adj->Contains( nodeToContain ))
3933 adjacentFaces.push_back( make_pair( adj, link ));
3936 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3937 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3939 if ( nbRecursionsLeft < 0 )
3940 nbRecursionsLeft = nodeToContain->NbInverseElements();
3941 TFaceLinkList::iterator adj = adjacentFaces.begin();
3942 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3943 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3944 isAdjacentUsed, nbRecursionsLeft-1);
3945 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3947 return boundaryLink;
3949 //================================================================================
3951 * \brief Return a link ending at the given node but not avoidLink
3953 //================================================================================
3955 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3956 const TChainLink& avoidLink,
3957 const SMDS_MeshNode* nodeToContain) const
3959 for ( size_t i = 0; i < _sides.size(); ++i )
3960 if ( avoidLink._qlink != _sides[i] &&
3961 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3962 return links.find( _sides[i] );
3966 //================================================================================
3968 * \brief Return normal to the i-th side pointing outside the face
3970 //================================================================================
3972 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3974 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3975 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3976 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3977 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3979 if ( norm * vecOut < 0 )
3981 double mag2 = norm.SquareMagnitude();
3982 if ( mag2 > numeric_limits<double>::min() )
3983 norm /= sqrt( mag2 );
3986 //================================================================================
3988 * \brief Move medium node of theLink according to its distance from boundary
3989 * \param theLink - link to fix
3990 * \param theRefVec - movement of boundary
3991 * \param theLinks - all adjacent links of continuous triangles
3992 * \param theFaceHelper - helper is not used so far
3993 * \param thePrevLen - distance from the boundary
3994 * \param theStep - number of steps till movement propagation limit
3995 * \param theLinkNorm - out normal to theLink
3996 * \param theSign - 1 or -1 depending on movement of boundary
3997 * \retval double - distance from boundary to propagation limit or other boundary
3999 //================================================================================
4001 double QFace::MoveByBoundary( const TChainLink& theLink,
4002 const gp_Vec& theRefVec,
4003 const TLinkSet& theLinks,
4004 SMESH_MesherHelper* theFaceHelper,
4005 const double thePrevLen,
4007 gp_Vec* theLinkNorm,
4008 double theSign) const
4011 return thePrevLen; // propagation limit reached
4013 size_t iL; // index of theLink
4014 for ( iL = 0; iL < _sides.size(); ++iL )
4015 if ( theLink._qlink == _sides[ iL ])
4018 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
4019 <<" thePrevLen " << thePrevLen);
4020 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
4022 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
4023 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
4024 if ( theStep == theFirstStep )
4025 theSign = refProj < 0. ? -1. : 1.;
4026 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
4027 return thePrevLen; // to propagate movement forward only, not in side dir or backward
4029 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
4030 TLinkInSet link1 = theLinks.find( _sides[iL1] );
4031 TLinkInSet link2 = theLinks.find( _sides[iL2] );
4033 const QFace *f1 = 0, *f2 = 0; // adjacent faces
4034 bool isBndLink1 = true, isBndLink2 = true;
4035 if ( link1 != theLinks.end() && link2 != theLinks.end() )
4037 f1 = link1->NextFace( this );
4038 f2 = link2->NextFace( this );
4040 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
4041 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
4042 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
4044 if ( !isBndLink1 && !f1 )
4045 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
4046 if ( !isBndLink2 && !f2 )
4047 f2 = (*link2)->GetContinuesFace( this );
4050 else if ( _sides.size() < 4 )
4053 // propagate to adjacent faces till limit step or boundary
4054 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
4055 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
4056 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
4057 gp_Vec linkDir2(0,0,0);
4060 if ( f1 && !isBndLink1 )
4061 len1 = f1->MoveByBoundary
4062 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
4064 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
4066 MSG( " --------------- EXCEPTION");
4071 if ( f2 && !isBndLink2 )
4072 len2 = f2->MoveByBoundary
4073 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
4075 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
4077 MSG( " --------------- EXCEPTION");
4082 if ( theStep != theFirstStep )
4084 // choose chain length by direction of propagation most codirected with theRefVec
4085 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
4086 fullLen = choose1 ? len1 : len2;
4087 double r = thePrevLen / fullLen;
4089 gp_Vec move = linkNorm * refProj * ( 1 - r );
4090 theLink->Move( move, /*sum=*/true );
4092 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
4093 " by " << refProj * ( 1 - r ) << " following " <<
4094 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
4096 if ( theLinkNorm ) *theLinkNorm = linkNorm;
4101 //================================================================================
4103 * \brief Checks if the face is distorted due to bentLink
4105 //================================================================================
4107 bool QFace::IsSpoiled(const QLink* bentLink ) const
4109 // code is valid for convex faces only
4111 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
4112 gc += XYZ( *n ) / size();
4113 for (unsigned i = 0; i < _sides.size(); ++i )
4115 if ( _sides[i] == bentLink ) continue;
4116 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4117 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
4118 if ( linkNorm * vecOut < 0 )
4120 double mag2 = linkNorm.SquareMagnitude();
4121 if ( mag2 > numeric_limits<double>::min() )
4122 linkNorm /= sqrt( mag2 );
4123 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
4124 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
4125 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4132 //================================================================================
4134 * \brief Find pairs of continues faces
4136 //================================================================================
4138 void QLink::SetContinuesFaces() const
4140 // x0 x - QLink, [-|] - QFace, v - volume
4142 // | Between _faces of link x2 two vertical faces are continues
4143 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4144 // | to _faces[0] and _faces[1] and horizontal faces to
4145 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
4148 if ( _faces.empty() )
4150 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4151 if ( _faces[0]->IsBoundary() )
4152 iBoundary[ nbBoundary++ ] = 0;
4153 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4155 // look for a face bounding none of volumes bound by _faces[0]
4156 bool sameVol = false;
4157 int nbVol = _faces[iF]->NbVolumes();
4158 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4159 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4160 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4163 if ( _faces[iF]->IsBoundary() )
4164 iBoundary[ nbBoundary++ ] = iF;
4166 // Set continues faces: arrange _faces to have
4167 // _faces[0] continues to _faces[1]
4168 // _faces[2] continues to _faces[3]
4169 if ( nbBoundary == 2 ) // bnd faces are continues
4171 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4173 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4174 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4177 else if ( iFaceCont > 0 ) // continues faces found
4179 if ( iFaceCont != 1 )
4180 std::swap( _faces[1], _faces[iFaceCont] );
4182 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4184 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4187 //================================================================================
4189 * \brief Return a face continues to the given one
4191 //================================================================================
4193 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4195 if ( _faces.size() <= 4 )
4196 for ( size_t i = 0; i < _faces.size(); ++i ) {
4197 if ( _faces[i] == face ) {
4198 int iF = i < 2 ? 1-i : 5-i;
4199 return iF < (int)_faces.size() ? _faces[iF] : 0;
4204 //================================================================================
4206 * \brief True if link is on mesh boundary
4208 //================================================================================
4210 bool QLink::OnBoundary() const
4212 for ( size_t i = 0; i < _faces.size(); ++i )
4213 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4216 //================================================================================
4218 * \brief Return normal of link of the chain
4220 //================================================================================
4222 gp_Vec TChainLink::Normal() const {
4224 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4225 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4228 //================================================================================
4230 * \brief Test link curvature taking into account size of faces
4232 //================================================================================
4234 bool TChainLink::IsStraight() const
4236 bool isStraight = _qlink->IsStraight();
4237 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4239 int i = _qfaces[0]->LinkIndex( _qlink );
4240 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4241 gp_XYZ mid1 = _qlink->MiddlePnt();
4242 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4243 double faceSize2 = (mid1-mid2).SquareModulus();
4244 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4249 //================================================================================
4251 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4253 //================================================================================
4255 void fixPrism( TChain& allLinks )
4257 // separate boundary links from internal ones
4258 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4259 QLinkSet interLinks, bndLinks1, bndLink2;
4261 bool isCurved = false;
4262 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4263 if ( (*lnk)->OnBoundary() )
4264 bndLinks1.insert( lnk->_qlink );
4266 interLinks.insert( lnk->_qlink );
4267 isCurved = isCurved || !lnk->IsStraight();
4270 return; // no need to move
4272 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4274 while ( !interLinks.empty() && !curBndLinks->empty() )
4276 // propagate movement from boundary links to connected internal links
4277 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4278 for ( ; bnd != bndEnd; ++bnd )
4280 const QLink* bndLink = *bnd;
4281 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4283 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4284 if ( !face ) continue;
4285 // find and move internal link opposite to bndLink within the face
4286 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4287 const QLink* interLink = face->_sides[ interInd ];
4288 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4289 if ( pInterLink == interLinks.end() ) continue; // not internal link
4290 interLink->Move( bndLink->_nodeMove );
4291 // treated internal links become new boundary ones
4292 interLinks.erase( pInterLink );
4293 newBndLinks->insert( interLink );
4296 curBndLinks->clear();
4297 std::swap( curBndLinks, newBndLinks );
4301 //================================================================================
4303 * \brief Fix links of continues triangles near curved boundary
4305 //================================================================================
4307 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4309 if ( allLinks.empty() ) return;
4311 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4312 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4314 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4316 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4318 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4319 const QFace* face = linkIt->_qfaces[0];
4320 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4321 face->_sides[1]->MiddlePnt() +
4322 face->_sides[2]->MiddlePnt() ) / 3.;
4323 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4324 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4325 //if ( face->IsSpoiled( linkIt->_qlink ))
4326 if ( linkBentInside )
4327 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4332 //================================================================================
4334 * \brief Detect rectangular structure of links and build chains from them
4336 //================================================================================
4338 enum TSplitTriaResult {
4339 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4340 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4342 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4343 vector< TChain> & resultChains,
4344 SMDS_TypeOfPosition pos )
4346 // put links in the set and evalute number of result chains by number of boundary links
4348 size_t nbBndLinks = 0;
4349 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4350 linkSet.insert( *lnk );
4351 nbBndLinks += lnk->IsBoundary();
4353 resultChains.clear();
4354 resultChains.reserve( nbBndLinks / 2 );
4356 TLinkInSet linkIt, linksEnd = linkSet.end();
4358 // find a boundary link with corner node; corner node has position pos-2
4359 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4361 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4362 const SMDS_MeshNode* corner = 0;
4363 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4364 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4369 TLinkInSet startLink = linkIt;
4370 const SMDS_MeshNode* startCorner = corner;
4371 vector< TChain* > rowChains;
4374 while ( startLink != linksEnd) // loop on columns
4376 // We suppose we have a rectangular structure like shown here. We have found a
4377 // corner of the rectangle (startCorner) and a boundary link sharing
4378 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4379 // --o---o---o structure making several chains at once. One chain (columnChain)
4380 // |\ | /| starts at startLink and continues upward (we look at the structure
4381 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4382 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4383 // --o---o---o encounter.
4385 // / | \ | \ | startCorner
4390 if ( resultChains.size() == nbBndLinks / 2 )
4392 resultChains.push_back( TChain() );
4393 TChain& columnChain = resultChains.back();
4395 TLinkInSet botLink = startLink; // current horizontal link to go up from
4396 corner = startCorner; // current corner the botLink ends at
4398 while ( botLink != linksEnd ) // loop on rows
4400 // add botLink to the columnChain
4401 columnChain.push_back( *botLink );
4403 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4405 { // the column ends
4406 if ( botLink == startLink )
4407 return _TWISTED_CHAIN; // issue 0020951
4408 linkSet.erase( botLink );
4409 if ( iRow != rowChains.size() )
4410 return _FEW_ROWS; // different nb of rows in columns
4413 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4414 // link ending at <corner> (sideLink); there are two cases:
4415 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4416 // since midQuadLink is not at boundary while sideLink is.
4417 // 2) midQuadLink ends at <corner>
4419 TLinkInSet midQuadLink = linksEnd;
4420 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4422 if ( isCase2 ) { // find midQuadLink among links of botTria
4423 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4424 if ( midQuadLink->IsBoundary() )
4425 return _BAD_MIDQUAD;
4427 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4428 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4431 columnChain.push_back( *midQuadLink );
4432 if ( iRow >= rowChains.size() ) {
4434 return _MANY_ROWS; // different nb of rows in columns
4435 if ( resultChains.size() == nbBndLinks / 2 )
4437 resultChains.push_back( TChain() );
4438 rowChains.push_back( & resultChains.back() );
4440 rowChains[iRow]->push_back( *sideLink );
4441 rowChains[iRow]->push_back( *midQuadLink );
4443 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4447 // prepare startCorner and startLink for the next column
4448 startCorner = startLink->NextNode( startCorner );
4450 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4452 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4453 // check if no more columns remains
4454 if ( startLink != linksEnd ) {
4455 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4456 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4457 startLink = linksEnd; // startLink bounds upTria or botTria
4458 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4462 // find bottom link and corner for the next row
4463 corner = sideLink->NextNode( corner );
4464 // next bottom link ends at the new corner
4465 linkSet.erase( botLink );
4466 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4467 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4469 if ( midQuadLink == startLink || sideLink == startLink )
4470 return _TWISTED_CHAIN; // issue 0020951
4471 linkSet.erase( midQuadLink );
4472 linkSet.erase( sideLink );
4474 // make faces neighboring the found ones be boundary
4475 if ( startLink != linksEnd ) {
4476 const QFace* tria = isCase2 ? botTria : upTria;
4477 for ( int iL = 0; iL < 3; ++iL ) {
4478 linkIt = linkSet.find( tria->_sides[iL] );
4479 if ( linkIt != linksEnd )
4480 linkIt->RemoveFace( tria );
4483 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4484 botLink->RemoveFace( upTria ); // make next botTria first in vector
4491 // In the linkSet, there must remain the last links of rowChains; add them
4492 if ( linkSet.size() != rowChains.size() )
4493 return _BAD_SET_SIZE;
4494 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4495 // find the link (startLink) ending at startCorner
4497 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4498 if ( (*startLink)->node1() == startCorner ) {
4499 corner = (*startLink)->node2(); break;
4501 else if ( (*startLink)->node2() == startCorner) {
4502 corner = (*startLink)->node1(); break;
4505 if ( startLink == linksEnd )
4507 rowChains[ iRow ]->push_back( *startLink );
4508 linkSet.erase( startLink );
4509 startCorner = corner;
4515 //================================================================================
4517 * \brief Place medium nodes at the link middle for elements whose corner nodes
4518 * are out of geometrical boundary to prevent distorting elements.
4519 * Issue 0020982, note 0013990
4521 //================================================================================
4523 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4524 SMESH_ComputeErrorPtr& theError)
4526 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4527 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4528 if ( shape.IsNull() ) return;
4530 if ( !theError ) theError = SMESH_ComputeError::New();
4534 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4536 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4538 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4539 if ( !faceSM ) return;
4541 const TopoDS_Face& face = TopoDS::Face( shape );
4542 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4544 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4545 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4547 // check if the EDGE needs checking
4548 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4549 if ( SMESH_Algo::isDegenerated( edge ) )
4551 if ( theHelper.IsRealSeam( edge ) &&
4552 edge.Orientation() == TopAbs_REVERSED )
4555 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4556 if ( !edgeSM ) continue;
4559 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4560 BRepAdaptor_Curve curve3D( edge );
4561 switch ( curve3D.GetType() ) {
4562 case GeomAbs_Line: continue;
4563 case GeomAbs_Circle:
4564 case GeomAbs_Ellipse:
4565 case GeomAbs_Hyperbola:
4566 case GeomAbs_Parabola:
4569 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4570 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4571 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4572 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4573 gp_Vec fNorm = Du1 ^ Dv1;
4574 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4575 continue; // face is normal to the curve3D
4577 gp_Vec curvNorm = fNorm ^ D1;
4578 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4579 if ( curvNorm * D2 > 0 )
4580 continue; // convex edge
4582 catch ( Standard_Failure )
4588 // get nodes shared by faces that may be distorted
4589 SMDS_NodeIteratorPtr nodeIt;
4590 if ( edgeSM->NbNodes() > 0 ) {
4591 nodeIt = edgeSM->GetNodes();
4594 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4596 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4597 if ( !vertexSM ) continue;
4598 nodeIt = vertexSM->GetNodes();
4601 // find suspicious faces
4602 TIDSortedElemSet checkedFaces;
4603 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4604 const SMDS_MeshNode* nOnFace;
4605 while ( nodeIt->more() )
4607 const SMDS_MeshNode* n = nodeIt->next();
4608 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4609 while ( faceIt->more() )
4611 const SMDS_MeshElement* f = faceIt->next();
4612 if ( !faceSM->Contains( f ) ||
4613 f->NbNodes() < 6 || // check quadratic triangles only
4614 !checkedFaces.insert( f ).second )
4617 // get nodes on EDGE and on FACE of a suspicious face
4618 nOnEdge.clear(); nOnFace = 0;
4619 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4620 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4623 if ( n->GetPosition()->GetDim() == 2 )
4626 nOnEdge.push_back( n );
4629 // check if nOnFace is inside the FACE
4630 if ( nOnFace && nOnEdge.size() == 2 )
4632 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4633 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4635 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4636 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4637 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4638 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4639 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4640 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4641 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4642 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4643 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4645 // nOnFace is out of FACE, move a medium on-edge node to the middle
4646 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4647 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4648 MSG( "move OUT of face " << n );
4649 theError->myBadElements.push_back( f );
4655 if ( !theError->myBadElements.empty() )
4656 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4659 } // 2D ==============================================================================
4661 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4663 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4664 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4666 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4667 if ( !solidSM ) return;
4669 // check if the SOLID is bound by concave FACEs
4670 vector< TopoDS_Face > concaveFaces;
4671 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4672 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4674 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4675 if ( !meshDS->MeshElements( face )) continue;
4677 BRepAdaptor_Surface surface( face );
4678 switch ( surface.GetType() ) {
4679 case GeomAbs_Plane: continue;
4680 case GeomAbs_Cylinder:
4682 case GeomAbs_Sphere:
4685 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4686 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4687 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4688 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4689 gp_Vec fNorm = Du1 ^ Dv1;
4690 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4691 bool concaveU = ( fNorm * Du2 > 1e-100 );
4692 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4693 if ( concaveU || concaveV )
4694 concaveFaces.push_back( face );
4696 catch ( Standard_Failure )
4698 concaveFaces.push_back( face );
4703 if ( concaveFaces.empty() )
4706 // fix 2D mesh on the SOLID
4707 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4709 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4710 faceHelper.SetSubShape( faceIt.Current() );
4711 force3DOutOfBoundary( faceHelper, theError );
4714 // get an iterator over faces on concaveFaces
4715 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4716 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4717 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4718 typedef SMDS_IteratorOnIterators
4719 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4720 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4722 // search to check if a volume is close to a concave face
4723 SMESHUtils::Deleter< SMESH_ElementSearcher > faceSearcher
4724 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4727 //BRepClass3d_SolidClassifier solidClassifier( shape );
4729 TIDSortedElemSet checkedVols, movedNodes;
4730 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4731 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4733 //const TopoDS_Shape& face = faceIt.Current();
4734 const TopoDS_Shape& face = concaveFaces[ iF ];
4735 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4736 if ( !faceSM ) continue;
4738 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4739 SMDS_NodeIteratorPtr nodeIt;
4740 if ( faceSM->NbNodes() > 0 ) {
4741 nodeIt = faceSM->GetNodes();
4744 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4745 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4746 if ( !vertexSM ) continue;
4747 nodeIt = vertexSM->GetNodes();
4749 // get ids of sub-shapes of the FACE
4751 SMESH_subMeshIteratorPtr smIt =
4752 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4753 while ( smIt->more() )
4754 subIDs.insert( smIt->next()->GetId() );
4756 // find suspicious volumes adjacent to the FACE
4757 vector< const SMDS_MeshNode* > nOnFace( 4 );
4758 const SMDS_MeshNode* nInSolid;
4759 while ( nodeIt->more() )
4761 const SMDS_MeshNode* n = nodeIt->next();
4762 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4763 while ( volIt->more() )
4765 const SMDS_MeshElement* vol = volIt->next();
4766 size_t nbN = vol->NbCornerNodes();
4767 if ( ( nbN != 4 && nbN != 5 ) ||
4768 !solidSM->Contains( vol ) ||
4769 !checkedVols.insert( vol ).second )
4772 // get nodes on FACE and in SOLID of a suspicious volume
4773 nOnFace.clear(); nInSolid = 0;
4774 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4775 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4778 if ( n->GetPosition()->GetDim() == 3 )
4780 else if ( subIDs.count( n->getshapeId() ))
4781 nOnFace.push_back( n );
4785 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4788 // get size of the vol
4789 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4790 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4791 for ( size_t i = 1; i < nOnFace.size(); ++i )
4793 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4796 // check if vol is close to concaveFaces
4797 const SMDS_MeshElement* closeFace =
4798 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4800 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4803 // check if vol is distorted, i.e. a medium node is much closer
4804 // to nInSolid than the link middle
4805 bool isDistorted = false;
4806 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4807 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4809 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4810 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4811 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4812 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4814 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4815 TLinkNodeMap::const_iterator linkIt =
4816 theHelper.GetTLinkNodeMap().find( link );
4817 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4819 links.push_back( make_pair( linkIt->first, linkIt->second ));
4820 if ( !isDistorted ) {
4821 // compare projections of nInSolid and nMedium to face normal
4822 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4823 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4824 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4825 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.75 ));
4829 // move medium nodes to link middle
4832 for ( size_t i = 0; i < links.size(); ++i )
4834 const SMDS_MeshNode* nMedium = links[i].second;
4835 if ( movedNodes.insert( nMedium ).second )
4837 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4838 SMESH_TNodeXYZ( links[i].first.node2() ));
4839 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4840 MSG( "move OUT of solid " << nMedium );
4843 theError->myBadElements.push_back( vol );
4845 } // loop on volumes sharing a node on FACE
4846 } // loop on nodes on FACE
4847 } // loop on FACEs of a SOLID
4849 if ( !theError->myBadElements.empty() )
4850 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4856 //=======================================================================
4858 * \brief Move medium nodes of faces and volumes to fix distorted elements
4859 * \param error - container of fixed distorted elements
4860 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4862 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4864 //=======================================================================
4866 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4869 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4870 if ( getenv("NO_FixQuadraticElements") )
4873 // 0. Apply algorithm to SOLIDs or FACEs
4874 // ----------------------------------------------
4875 if ( myShape.IsNull() ) {
4876 if ( !myMesh->HasShapeToMesh() ) return;
4877 SetSubShape( myMesh->GetShapeToMesh() );
4881 TopTools_IndexedMapOfShape solids;
4882 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4883 nbSolids = solids.Extent();
4885 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4886 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4887 faces.Add( f.Current() ); // not in solid
4889 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4890 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4891 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4892 faces.Add( f.Current() ); // in not meshed solid
4894 else { // fix nodes in the solid and its faces
4896 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4898 SMESH_MesherHelper h(*myMesh);
4899 h.SetSubShape( s.Current() );
4900 h.ToFixNodeParameters(true);
4901 h.FixQuadraticElements( compError, false );
4904 // fix nodes on geom faces
4906 int nbfaces = nbSolids;
4907 nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4909 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4910 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4911 SMESH_MesherHelper h(*myMesh);
4912 h.SetSubShape( fIt.Key() );
4913 h.ToFixNodeParameters(true);
4914 h.FixQuadraticElements( compError, true);
4916 //perf_print_all_meters(1);
4917 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4918 compError->myComment = "during conversion to quadratic, "
4919 "some medium nodes were not placed on geometry to avoid distorting elements";
4923 // 1. Find out type of elements and get iterator on them
4924 // ---------------------------------------------------
4926 SMDS_ElemIteratorPtr elemIt;
4927 SMDSAbs_ElementType elemType = SMDSAbs_All;
4929 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4932 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4933 elemIt = smDS->GetElements();
4934 if ( elemIt->more() ) {
4935 elemType = elemIt->next()->GetType();
4936 elemIt = smDS->GetElements();
4939 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4942 // 2. Fill in auxiliary data structures
4943 // ----------------------------------
4947 set< QLink >::iterator pLink;
4948 set< QFace >::iterator pFace;
4950 bool isCurved = false;
4951 //bool hasRectFaces = false;
4952 //set<int> nbElemNodeSet;
4953 SMDS_VolumeTool volTool;
4955 TIDSortedNodeSet apexOfPyramid;
4956 const int apexIndex = 4;
4959 // Move medium nodes to the link middle for elements whose corner nodes
4960 // are out of geometrical boundary to fix distorted elements.
4961 force3DOutOfBoundary( *this, compError );
4963 if ( elemType == SMDSAbs_Volume )
4965 while ( elemIt->more() ) // loop on volumes
4967 const SMDS_MeshElement* vol = elemIt->next();
4968 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4970 double volMinSize2 = -1.;
4971 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4973 int nbN = volTool.NbFaceNodes( iF );
4974 //nbElemNodeSet.insert( nbN );
4975 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4976 vector< const QLink* > faceLinks( nbN/2 );
4977 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4980 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4981 pLink = links.insert( link ).first;
4982 faceLinks[ iN/2 ] = & *pLink;
4984 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4986 if ( !link.IsStraight() )
4987 return; // already fixed
4989 else if ( !isCurved )
4991 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4992 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4996 pFace = faces.insert( QFace( faceLinks )).first;
4997 if ( pFace->NbVolumes() == 0 )
4998 pFace->AddSelfToLinks();
4999 pFace->SetVolume( vol );
5000 // hasRectFaces = hasRectFaces ||
5001 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
5002 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
5005 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
5007 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
5008 faceNodes[4],faceNodes[6] );
5011 // collect pyramid apexes for further correction
5012 if ( vol->NbCornerNodes() == 5 )
5013 apexOfPyramid.insert( vol->GetNode( apexIndex ));
5015 set< QLink >::iterator pLink = links.begin();
5016 for ( ; pLink != links.end(); ++pLink )
5017 pLink->SetContinuesFaces();
5021 while ( elemIt->more() ) // loop on faces
5023 const SMDS_MeshElement* face = elemIt->next();
5024 if ( !face->IsQuadratic() )
5026 //nbElemNodeSet.insert( face->NbNodes() );
5027 int nbN = face->NbNodes()/2;
5028 vector< const QLink* > faceLinks( nbN );
5029 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
5032 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
5033 pLink = links.insert( link ).first;
5034 faceLinks[ iN ] = & *pLink;
5036 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
5037 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
5038 isCurved = !link.IsStraight();
5041 pFace = faces.insert( QFace( faceLinks )).first;
5042 pFace->AddSelfToLinks();
5043 //hasRectFaces = ( hasRectFaces || nbN == 4 );
5047 return; // no curved edges of faces
5049 // 3. Compute displacement of medium nodes
5050 // ---------------------------------------
5052 SMESH_MesherHelper faceHlp(*myMesh);
5054 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
5055 TopLoc_Location loc;
5057 // not to treat boundary of volumic sub-mesh.
5058 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
5059 for ( ; isInside < 2; ++isInside )
5061 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
5062 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
5063 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
5065 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
5066 if ( bool(isInside) == pFace->IsBoundary() )
5068 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
5071 // make chain of links connected via continues faces
5074 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
5076 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
5078 vector< TChain > chains;
5079 if ( error == ERR_OK ) { // chain contains continues rectangles
5081 chains[0].splice( chains[0].begin(), rawChain );
5083 else if ( error == ERR_TRI ) { // chain contains continues triangles
5084 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
5085 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
5086 fixTriaNearBoundary( rawChain, *this );
5090 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
5091 fixPrism( rawChain );
5097 for ( size_t iC = 0; iC < chains.size(); ++iC )
5099 TChain& chain = chains[iC];
5100 if ( chain.empty() ) continue;
5101 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
5102 MSG("3D straight - ignore");
5105 if ( chain.front()->MediumPos() > bndPos ||
5106 chain.back() ->MediumPos() > bndPos ) {
5107 MSG("Internal chain - ignore");
5110 // mesure chain length and compute link position along the chain
5111 double chainLen = 0;
5112 vector< double > linkPos;
5113 TChain savedChain; // backup
5114 MSGBEG( "Link medium nodes: ");
5115 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
5116 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
5117 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
5118 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5119 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
5120 if ( savedChain.empty() ) savedChain = chain;
5121 link1 = chain.erase( link1 );
5122 if ( link1 == chain.end() )
5124 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5127 linkPos.push_back( chainLen );
5130 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5135 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5137 linkPos.push_back( chainLen );
5140 gp_Vec move0 = chain.front()->_nodeMove;
5141 gp_Vec move1 = chain.back ()->_nodeMove;
5146 // compute node displacement of end links of chain in parametric space of FACE
5147 TChainLink& linkOnFace = *(++chain.begin());
5148 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5149 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5150 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5152 face = TopoDS::Face( f );
5153 faceHlp.SetSubShape( face );
5154 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5155 //bool isStraight[2]; // commented for issue 0023118
5156 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5158 TChainLink& link = is1 ? chain.back() : chain.front();
5159 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5160 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5161 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5162 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5163 // uvMove = uvm - uv12
5164 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5165 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5166 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5167 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5168 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5169 // 10 * uvMove.SquareModulus());
5171 // if ( isStraight[0] && isStraight[1] ) {
5172 // MSG("2D straight - ignore");
5173 // continue; // straight - no need to move nodes of internal links
5176 // check if a chain is already fixed
5177 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5178 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5179 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5180 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5181 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5183 MSG("Already fixed - ignore");
5189 if ( isInside || face.IsNull() )
5191 // compute node displacement of end links in their local coord systems
5193 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5194 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5195 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5196 move0.Transform(trsf);
5199 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5200 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5201 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5202 move1.Transform(trsf);
5205 // compute displacement of medium nodes
5206 link2 = chain.begin();
5209 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5211 double r = linkPos[i] / chainLen;
5212 // displacement in local coord system
5213 gp_Vec move = (1. - r) * move0 + r * move1;
5214 if ( isInside || face.IsNull()) {
5215 // transform to global
5216 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5217 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5219 gp_Vec x = x01.Normalized() + x12.Normalized();
5220 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5221 } catch ( Standard_Failure ) {
5224 move.Transform(trsf);
5225 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5228 // compute 3D displacement by 2D one
5229 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5230 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5231 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5232 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5233 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5234 if ( SMDS_FacePosition* nPos =
5235 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5236 nPos->SetParameters( newUV.X(), newUV.Y() );
5238 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5239 move.SquareMagnitude())
5241 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5242 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5243 MSG( "TOO LONG MOVE \t" <<
5244 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5245 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5246 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5247 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5248 uv0.SetX( uv2.X() ); // avoid warning: variable set but not used
5251 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5253 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5254 << chain.front()->_mediumNode->GetID() <<"-"
5255 << chain.back ()->_mediumNode->GetID() <<
5256 " by " << move.Magnitude());
5258 } // loop on chains of links
5259 } // loop on 2 directions of propagation from quadrangle
5261 } // fix faces and/or volumes
5266 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5267 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5268 myMesh->NbBiQuadTriangles() +
5269 myMesh->NbTriQuadraticHexas() );
5271 faceHlp.ToFixNodeParameters( true );
5273 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5274 if ( pLink->IsMoved() )
5276 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5278 // put on surface nodes on FACE but moved in 3D (23050)
5279 if ( !pLink->IsFixedOnSurface() )
5281 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5282 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5284 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5285 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5286 gp_XY uv( Precision::Infinite(), 0 );
5287 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5288 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5289 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5292 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5294 // collect bi-quadratic elements
5295 if ( toFixCentralNodes )
5297 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5298 while ( eIt->more() )
5300 const SMDS_MeshElement* e = eIt->next();
5301 switch( e->GetEntityType() ) {
5302 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5303 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5304 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5311 // Fix positions of central nodes of bi-tri-quadratic elements
5313 // treat bi-quad quadrangles
5315 vector< const SMDS_MeshNode* > nodes( 9 );
5317 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5318 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5320 const SMDS_MeshElement* quad = *quadIt;
5323 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5325 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5326 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5327 const TopoDS_Face& F = TopoDS::Face( S );
5328 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5329 const double tol = BRep_Tool::Tolerance( F );
5331 for ( int i = 0; i < 8; ++i )
5333 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5334 // as this method is used after mesh generation, UV of nodes is not
5335 // updated according to bending links, so we update
5336 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5337 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5339 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5340 // move the central node
5341 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5342 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5343 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5347 // treat bi-quad triangles
5349 vector< const SMDS_MeshNode* > nodes;
5351 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5352 for ( ; triIt != biQuadTris.end(); ++triIt )
5354 const SMDS_MeshElement* tria = *triIt;
5356 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5357 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5358 const TopoDS_Face& F = TopoDS::Face( S );
5359 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5360 const double tol = BRep_Tool::Tolerance( F );
5363 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5365 bool uvOK = true, badTria = false;
5366 for ( int i = 0; i < 6; ++i )
5368 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5369 // as this method is used after mesh generation, UV of nodes is not
5370 // updated according to bending links, so we update
5371 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5372 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5375 // move the central node
5377 if ( !uvOK || badTria )
5379 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5380 SMESH_TNodeXYZ( nodes[4] ) +
5381 SMESH_TNodeXYZ( nodes[5] )) / 3;
5385 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5386 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5387 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5389 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5393 // treat tri-quadratic hexahedra
5395 SMDS_VolumeTool volExp;
5396 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5397 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5399 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5401 // fix nodes central in sides
5402 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5404 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5405 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5407 gp_XYZ p = calcTFI( 0.5, 0.5,
5408 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5409 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5410 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5411 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5412 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5416 // fix the volume central node
5417 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5418 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5420 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5421 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5422 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5423 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5424 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5425 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5426 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5427 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5429 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5430 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5431 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5432 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5433 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5434 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5435 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5436 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5437 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5438 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5439 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5440 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5442 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5443 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5444 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5445 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5446 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5447 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5449 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5450 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5451 GetMeshDS()->MoveNode( hexNodes[26],
5452 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());
5456 // avoid warning: defined but not used operator<<()
5457 SMESH_Comment() << *links.begin() << *faces.begin();
5461 //================================================================================
5465 //================================================================================
5467 void SMESH_MesherHelper::WriteShape(const TopoDS_Shape& s)
5469 const char* name = "/tmp/shape.brep";
5470 BRepTools::Write( s, name );
5472 std::cout << name << std::endl;