1 // Copyright (C) 2007-2015 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESH_Block.hxx"
35 #include "SMESH_MeshAlgos.hxx"
36 #include "SMESH_ProxyMesh.hxx"
37 #include "SMESH_subMesh.hxx"
39 #include <BRepAdaptor_Curve.hxx>
40 #include <BRepAdaptor_Surface.hxx>
41 #include <BRepTools.hxx>
42 #include <BRep_Tool.hxx>
43 #include <Geom2d_Curve.hxx>
44 #include <GeomAPI_ProjectPointOnCurve.hxx>
45 #include <GeomAPI_ProjectPointOnSurf.hxx>
46 #include <Geom_Curve.hxx>
47 #include <Geom_RectangularTrimmedSurface.hxx>
48 #include <Geom_Surface.hxx>
49 #include <ShapeAnalysis.hxx>
51 #include <TopExp_Explorer.hxx>
52 #include <TopTools_ListIteratorOfListOfShape.hxx>
53 #include <TopTools_MapIteratorOfMapOfShape.hxx>
54 #include <TopTools_MapOfShape.hxx>
57 #include <gp_Pnt2d.hxx>
58 #include <gp_Trsf.hxx>
60 #include <Standard_Failure.hxx>
61 #include <Standard_ErrorHandler.hxx>
63 #include <utilities.h>
69 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
73 inline SMESH_TNodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_TNodeXYZ(n); }
75 enum { U_periodic = 1, V_periodic = 2 };
78 //================================================================================
82 //================================================================================
84 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
88 myCreateQuadratic(false),
89 myCreateBiQuadratic(false),
90 myFixNodeParameters(false)
92 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
93 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
96 //=======================================================================
97 //function : ~SMESH_MesherHelper
99 //=======================================================================
101 SMESH_MesherHelper::~SMESH_MesherHelper()
104 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
105 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
106 delete i_proj->second;
109 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
110 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
111 delete i_proj->second;
115 //=======================================================================
116 //function : IsQuadraticSubMesh
117 //purpose : Check submesh for given shape: if all elements on this shape
118 // are quadratic, quadratic elements will be created.
119 // Also fill myTLinkNodeMap
120 //=======================================================================
122 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
124 SMESHDS_Mesh* meshDS = GetMeshDS();
125 // we can create quadratic elements only if all elements
126 // created on sub-shapes of given shape are quadratic
127 // also we have to fill myTLinkNodeMap
128 myCreateQuadratic = true;
129 mySeamShapeIds.clear();
130 myDegenShapeIds.clear();
131 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
132 if ( aSh.ShapeType()==TopAbs_COMPOUND )
134 TopoDS_Iterator subIt( aSh );
136 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
138 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
141 int nbOldLinks = myTLinkNodeMap.size();
143 if ( !myMesh->HasShapeToMesh() )
145 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
147 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
148 while ( fIt->more() )
149 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
154 TopExp_Explorer exp( aSh, subType );
155 TopTools_MapOfShape checkedSubShapes;
156 for (; exp.More() && myCreateQuadratic; exp.Next()) {
157 if ( !checkedSubShapes.Add( exp.Current() ))
158 continue; // needed if aSh is compound of solids
159 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
160 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
162 const SMDS_MeshElement* e = it->next();
163 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
164 myCreateQuadratic = false;
169 switch ( e->NbCornerNodes() ) {
171 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
173 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
174 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
175 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
177 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
178 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
179 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
180 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
183 myCreateQuadratic = false;
193 if ( nbOldLinks == myTLinkNodeMap.size() )
194 myCreateQuadratic = false;
196 if(!myCreateQuadratic) {
197 myTLinkNodeMap.clear();
201 return myCreateQuadratic;
204 //=======================================================================
205 //function : SetSubShape
206 //purpose : Set geometry to make elements on
207 //=======================================================================
209 void SMESH_MesherHelper::SetSubShape(const int aShID)
211 if ( aShID == myShapeID )
214 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
216 SetSubShape( TopoDS_Shape() );
219 //=======================================================================
220 //function : SetSubShape
221 //purpose : Set geometry to create elements on
222 //=======================================================================
224 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
226 if ( myShape.IsSame( aSh ))
230 mySeamShapeIds.clear();
231 myDegenShapeIds.clear();
233 if ( myShape.IsNull() ) {
237 SMESHDS_Mesh* meshDS = GetMeshDS();
238 myShapeID = meshDS->ShapeToIndex(aSh);
241 // treatment of periodic faces
242 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
244 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
245 BRepAdaptor_Surface surf( face, false );
246 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
247 myParIndex |= U_periodic;
248 myPar1[0] = surf.FirstUParameter();
249 myPar2[0] = surf.LastUParameter();
251 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
252 myParIndex |= V_periodic;
253 myPar1[1] = surf.FirstVParameter();
254 myPar2[1] = surf.LastVParameter();
258 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
260 // look for a "seam" edge, a real seam or an edge on period boundary
261 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
262 const int edgeID = meshDS->ShapeToIndex( edge );
265 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
266 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
267 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
269 bool isSeam = BRep_Tool::IsClosed( edge, face );
270 if ( isSeam ) // real seam - having two pcurves on face
272 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
275 double u1 = uv1.Coord(1);
277 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
278 double u2 = uv1.Coord(1);
279 myPar1[0] = Min( u1, u2 );
280 myPar2[0] = Max( u1, u2 );
284 double v1 = uv1.Coord(2);
286 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
287 double v2 = uv1.Coord(2);
288 myPar1[1] = Min( v1, v2 );
289 myPar2[1] = Max( v1, v2 );
292 else //if ( !isSeam )
294 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
295 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
297 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
298 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
300 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
302 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
303 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
305 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
307 double f,l, r = 0.2345;
308 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
309 uv2 = C2d->Value( f * r + l * ( 1.-r ));
310 if ( du < Precision::PConfusion() )
311 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
313 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
318 // store seam shape indices, negative if shape encounters twice ('real seam')
319 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
320 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
321 int vertexID = meshDS->ShapeToIndex( v.Current() );
322 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
326 // look for a degenerated edge
327 if ( SMESH_Algo::isDegenerated( edge )) {
328 myDegenShapeIds.insert( edgeID );
329 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
330 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
332 if ( !BRep_Tool::SameParameter( edge ) ||
333 !BRep_Tool::SameRange( edge ))
335 setPosOnShapeValidity( edgeID, false );
341 //=======================================================================
342 //function : GetNodeUVneedInFaceNode
343 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
344 // Return true if the face is periodic.
345 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
347 //=======================================================================
349 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
351 if ( F.IsNull() ) return !mySeamShapeIds.empty();
353 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
354 return !mySeamShapeIds.empty();
357 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
358 if ( !aSurface.IsNull() )
359 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
364 //=======================================================================
365 //function : IsMedium
367 //=======================================================================
369 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
370 const SMDSAbs_ElementType typeToCheck)
372 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
375 //=======================================================================
376 //function : GetSubShapeByNode
377 //purpose : Return support shape of a node
378 //=======================================================================
380 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
381 const SMESHDS_Mesh* meshDS)
383 int shapeID = node ? node->getshapeId() : 0;
384 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
385 return meshDS->IndexToShape( shapeID );
387 return TopoDS_Shape();
391 //=======================================================================
392 //function : AddTLinkNode
393 //purpose : add a link in my data structure
394 //=======================================================================
396 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
397 const SMDS_MeshNode* n2,
398 const SMDS_MeshNode* n12)
400 // add new record to map
401 SMESH_TLink link( n1, n2 );
402 myTLinkNodeMap.insert( make_pair(link,n12));
405 //================================================================================
407 * \brief Add quadratic links of edge to own data structure
409 //================================================================================
411 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
413 if ( edge && edge->IsQuadratic() )
414 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
420 //================================================================================
422 * \brief Add quadratic links of face to own data structure
424 //================================================================================
426 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
430 switch ( f->NbNodes() ) {
432 // myMapWithCentralNode.insert
433 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
435 // break; -- add medium nodes as well
437 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
438 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
439 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
442 // myMapWithCentralNode.insert
443 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
445 // break; -- add medium nodes as well
447 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
448 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
449 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
450 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
457 //================================================================================
459 * \brief Add quadratic links of volume to own data structure
461 //================================================================================
463 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
465 if ( volume->IsQuadratic() )
467 SMDS_VolumeTool vTool( volume );
468 const SMDS_MeshNode** nodes = vTool.GetNodes();
470 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
472 const int nbN = vTool.NbFaceNodes( iF );
473 const int* iNodes = vTool.GetFaceNodesIndices( iF );
474 for ( int i = 0; i < nbN; )
476 int iN1 = iNodes[i++];
477 int iN12 = iNodes[i++];
479 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
480 int linkID = iN1 * vTool.NbNodes() + iN2;
481 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
482 if ( it_isNew.second )
483 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
485 addedLinks.erase( it_isNew.first ); // each link encounters only twice
487 if ( vTool.NbNodes() == 27 )
489 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
490 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
491 myMapWithCentralNode.insert
492 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
493 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
502 //================================================================================
504 * \brief Return true if position of nodes on the shape hasn't yet been checked or
505 * the positions proved to be invalid
507 //================================================================================
509 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
511 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
512 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
515 //================================================================================
517 * \brief Set validity of positions of nodes on the shape.
518 * Once set, validity is not changed
520 //================================================================================
522 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
524 std::map< int,bool >::iterator sh_ok =
525 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
530 //=======================================================================
531 //function : ToFixNodeParameters
532 //purpose : Enables fixing node parameters on EDGEs and FACEs in
533 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
534 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
536 //=======================================================================
538 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
540 myFixNodeParameters = toFix;
544 //=======================================================================
545 //function : getUVOnSeam
546 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
547 //=======================================================================
549 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
551 gp_Pnt2d result = uv1;
552 for ( int i = U_periodic; i <= V_periodic ; ++i )
554 if ( myParIndex & i )
556 double p1 = uv1.Coord( i );
557 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
558 if ( myParIndex == i ||
559 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
560 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
562 double p2 = uv2.Coord( i );
563 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
564 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
565 result.SetCoord( i, p1Alt );
572 //=======================================================================
573 //function : GetNodeUV
574 //purpose : Return node UV on face
575 //=======================================================================
577 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
578 const SMDS_MeshNode* n,
579 const SMDS_MeshNode* n2,
582 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
584 const SMDS_PositionPtr Pos = n->GetPosition();
586 if ( Pos->GetTypeOfPosition() == SMDS_TOP_FACE )
588 // node has position on face
589 const SMDS_FacePosition* fpos = static_cast<const SMDS_FacePosition*>( Pos );
590 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
592 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
594 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
596 // node has position on EDGE => it is needed to find
597 // corresponding EDGE from FACE, get pcurve for this
598 // EDGE and retrieve value from this pcurve
599 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( Pos );
600 const int edgeID = n->getshapeId();
601 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
602 double f, l, u = epos->GetUParameter();
603 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
604 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
605 if ( validU ) uv = C2d->Value( u );
606 else uv.SetCoord( Precision::Infinite(),0.);
607 if ( check || !validU )
608 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
610 // for a node on a seam EDGE select one of UVs on 2 pcurves
611 if ( n2 && IsSeamShape( edgeID ))
613 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
616 { // adjust uv to period
618 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
619 Standard_Boolean isUPeriodic = S->IsUPeriodic();
620 Standard_Boolean isVPeriodic = S->IsVPeriodic();
622 if ( isUPeriodic || isVPeriodic ) {
623 Standard_Real UF,UL,VF,VL;
624 S->Bounds(UF,UL,VF,VL);
625 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
626 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
630 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
631 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
632 newUV.SetX( uv.X() );
633 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
634 newUV.SetY( uv.Y() );
640 else if ( Pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
642 if ( int vertexID = n->getshapeId() ) {
643 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
645 uv = BRep_Tool::Parameters( V, F );
648 catch (Standard_Failure& exc) {
651 for ( TopExp_Explorer vert(F,TopAbs_VERTEX); !uvOK && vert.More(); vert.Next() )
652 uvOK = ( V == vert.Current() );
654 MESSAGE ( "SMESH_MesherHelper::GetNodeUV(); Vertex " << vertexID
655 << " not in face " << GetMeshDS()->ShapeToIndex( F ) );
656 // get UV of a vertex closest to the node
658 gp_Pnt pn = XYZ( n );
659 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
660 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
661 gp_Pnt p = BRep_Tool::Pnt( curV );
662 double curDist = p.SquareDistance( pn );
663 if ( curDist < dist ) {
665 uv = BRep_Tool::Parameters( curV, F );
666 uvOK = ( dist < DBL_MIN );
672 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
673 for ( ; it.More(); it.Next() ) {
674 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
675 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
677 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
678 if ( !C2d.IsNull() ) {
679 double u = ( V == TopExp::FirstVertex( edge ) ) ? f : l;
680 uv = C2d->Value( u );
688 if ( n2 && IsSeamShape( vertexID ))
690 bool isSeam = ( myShape.IsSame( F ));
692 SMESH_MesherHelper h( *myMesh );
694 isSeam = IsSeamShape( vertexID );
698 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
704 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
707 if ( check && !uvOK )
713 //=======================================================================
714 //function : CheckNodeUV
715 //purpose : Check and fix node UV on a face
716 //=======================================================================
718 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
719 const SMDS_MeshNode* n,
723 double distXYZ[4]) const
725 int shapeID = n->getshapeId();
727 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
729 ( uv.X() == 0. && uv.Y() == 0. ) ||
730 ( toCheckPosOnShape( shapeID )))
732 // check that uv is correct
734 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
735 gp_Pnt nodePnt = XYZ( n ), surfPnt(0,0,0);
737 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
739 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
741 setPosOnShapeValidity( shapeID, false );
742 if ( !infinit && distXYZ ) {
743 surfPnt.Transform( loc );
745 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
747 // uv incorrect, project the node to surface
748 GeomAPI_ProjectPointOnSurf& projector = GetProjector( F, loc, tol );
749 projector.Perform( nodePnt );
750 if ( !projector.IsDone() || projector.NbPoints() < 1 )
752 MESSAGE( "SMESH_MesherHelper::CheckNodeUV() failed to project" );
755 Quantity_Parameter U,V;
756 projector.LowerDistanceParameters(U,V);
758 surfPnt = surface->Value( U, V );
759 dist = nodePnt.Distance( surfPnt );
761 surfPnt.Transform( loc );
763 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
767 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
770 // store the fixed UV on the face
771 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
772 const_cast<SMDS_MeshNode*>(n)->SetPosition
773 ( SMDS_PositionPtr( new SMDS_FacePosition( U, V )));
775 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
777 setPosOnShapeValidity( shapeID, true );
783 //=======================================================================
784 //function : GetProjector
785 //purpose : Return projector intitialized by given face without location, which is returned
786 //=======================================================================
788 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
789 TopLoc_Location& loc,
792 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
793 int faceID = GetMeshDS()->ShapeToIndex( F );
794 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
795 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
796 if ( i_proj == i2proj.end() )
798 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
799 double U1, U2, V1, V2;
800 surface->Bounds(U1, U2, V1, V2);
801 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
802 proj->Init( surface, U1, U2, V1, V2, tol );
803 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
805 return *( i_proj->second );
810 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
811 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
812 gp_XY_FunPtr(Subtracted);
815 //=======================================================================
816 //function : ApplyIn2D
817 //purpose : Perform given operation on two 2d points in parameric space of given surface.
818 // It takes into account period of the surface. Use gp_XY_FunPtr macro
819 // to easily define pointer to function of gp_XY class.
820 //=======================================================================
822 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
826 const bool resultInPeriod)
828 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
829 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
830 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
831 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
832 if ( !isUPeriodic && !isVPeriodic )
835 // move uv2 not far than half-period from uv1
837 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
839 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
842 gp_XY res = fun( uv1, gp_XY(u2,v2) );
844 // move result within period
845 if ( resultInPeriod )
847 Standard_Real UF,UL,VF,VL;
848 surface->Bounds(UF,UL,VF,VL);
850 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
852 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
858 //=======================================================================
859 //function : AdjustByPeriod
860 //purpose : Move node positions on a FACE within surface period
861 //=======================================================================
863 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
865 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
866 ph->SetSubShape( face );
868 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
869 if ( ph->GetPeriodicIndex() & iCoo )
871 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
872 const double xRef = uv[0].Coord( iCoo );
873 for ( int i = 1; i < nbUV; ++i )
875 double x = uv[i].Coord( iCoo );
876 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
877 uv[i].SetCoord( iCoo, x + dx );
882 //=======================================================================
883 //function : GetMiddleUV
884 //purpose : Return middle UV taking in account surface period
885 //=======================================================================
887 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
892 // the proper place of getting basic surface seems to be in ApplyIn2D()
893 // but we put it here to decrease a risk of regressions just before releasing a version
894 // Handle(Geom_Surface) surf = surface;
895 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
896 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
898 return ApplyIn2D( surface, p1, p2, & AverageUV );
901 //=======================================================================
902 //function : GetCenterUV
903 //purpose : Return UV for the central node of a biquadratic triangle
904 //=======================================================================
906 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
912 bool * isBadTria/*=0*/)
915 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
917 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
918 uvAvg = ( uv1 + uv23 ) / 2.;
919 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
920 uvAvg = ( uv2 + uv31 ) / 2.;
921 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
922 uvAvg = ( uv3 + uv12 ) / 2.;
925 *isBadTria = badTria;
929 //=======================================================================
930 //function : GetNodeU
931 //purpose : Return node U on edge
932 //=======================================================================
934 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
935 const SMDS_MeshNode* n,
936 const SMDS_MeshNode* inEdgeNode,
939 double param = Precision::Infinite();
941 const SMDS_PositionPtr pos = n->GetPosition();
942 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
944 const SMDS_EdgePosition* epos = static_cast<const SMDS_EdgePosition*>( pos );
945 param = epos->GetUParameter();
947 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
949 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
952 BRep_Tool::Range( E, f,l );
953 double uInEdge = GetNodeU( E, inEdgeNode );
954 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
958 SMESHDS_Mesh * meshDS = GetMeshDS();
959 int vertexID = n->getshapeId();
960 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
961 param = BRep_Tool::Parameter( V, E );
966 double tol = BRep_Tool::Tolerance( E );
967 double f,l; BRep_Tool::Range( E, f,l );
968 bool force = ( param < f-tol || param > l+tol );
969 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
970 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
972 *check = CheckNodeU( E, n, param, 2*tol, force );
977 //=======================================================================
978 //function : CheckNodeU
979 //purpose : Check and fix node U on an edge
980 // Return false if U is bad and could not be fixed
981 //=======================================================================
983 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
984 const SMDS_MeshNode* n,
988 double distXYZ[4]) const
990 int shapeID = n->getshapeId();
992 if (( infinit = Precision::IsInfinite( u )) ||
995 ( toCheckPosOnShape( shapeID )))
997 TopLoc_Location loc; double f,l;
998 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
999 if ( curve.IsNull() ) // degenerated edge
1001 if ( u+tol < f || u-tol > l )
1003 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1009 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1010 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1012 double dist = 2*tol;
1015 curvPnt = curve->Value( u );
1016 dist = nodePnt.Distance( curvPnt );
1018 curvPnt.Transform( loc );
1020 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1025 setPosOnShapeValidity( shapeID, false );
1026 // u incorrect, project the node to the curve
1027 int edgeID = GetMeshDS()->ShapeToIndex( E );
1028 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
1029 TID2ProjectorOnCurve::iterator i_proj =
1030 i2proj.insert( make_pair( edgeID, (GeomAPI_ProjectPointOnCurve*) 0 )).first;
1031 if ( !i_proj->second )
1033 i_proj->second = new GeomAPI_ProjectPointOnCurve();
1034 i_proj->second->Init( curve, f, l );
1036 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
1037 projector->Perform( nodePnt );
1038 if ( projector->NbPoints() < 1 )
1040 MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1043 Quantity_Parameter U = projector->LowerDistanceParameter();
1045 MESSAGE(" f " << f << " l " << l << " u " << u);
1046 curvPnt = curve->Value( u );
1047 dist = nodePnt.Distance( curvPnt );
1049 curvPnt.Transform( loc );
1051 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1055 MESSAGE( "SMESH_MesherHelper::CheckNodeU(), invalid projection" );
1056 MESSAGE("distance " << dist << " " << tol );
1059 // store the fixed U on the edge
1060 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1061 const_cast<SMDS_MeshNode*>(n)->SetPosition
1062 ( SMDS_PositionPtr( new SMDS_EdgePosition( U )));
1064 else if ( fabs( u ) > numeric_limits<double>::min() )
1066 setPosOnShapeValidity( shapeID, true );
1068 if (( u < f-tol || u > l+tol ) && force )
1070 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1071 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1074 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1075 double period = curve->Period();
1076 u = ( u < f ) ? u + period : u - period;
1078 catch (Standard_Failure& exc)
1088 //=======================================================================
1089 //function : GetMediumPos
1090 //purpose : Return index and type of the shape (EDGE or FACE only) to
1091 // set a medium node on
1092 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1094 //param : expectedSupport - shape type corresponding to element being created,
1095 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1096 // basing on \a n1 and \a n2
1097 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1098 // case where the lower dim mesh is already constructed and converted to quadratic,
1099 // else, nodes on EDGEs are assigned to FACE, for example.
1100 //=======================================================================
1102 std::pair<int, TopAbs_ShapeEnum>
1103 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1104 const SMDS_MeshNode* n2,
1105 const bool useCurSubShape,
1106 TopAbs_ShapeEnum expectedSupport)
1108 if ( useCurSubShape && !myShape.IsNull() )
1109 return std::make_pair( myShapeID, myShape.ShapeType() );
1111 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1115 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1117 shapeType = myShape.ShapeType();
1118 shapeID = myShapeID;
1120 else if ( n1->getshapeId() == n2->getshapeId() )
1122 shapeID = n2->getshapeId();
1123 shape = GetSubShapeByNode( n1, GetMeshDS() );
1125 else // 2 different shapes
1127 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1128 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1130 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1134 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1137 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1139 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1140 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1141 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1142 if ( IsSubShape( S, F ))
1144 shapeType = TopAbs_FACE;
1145 shapeID = n1->getshapeId();
1149 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1151 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1152 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1153 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1155 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1157 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1158 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1159 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1160 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1162 else // on VERTEX and EDGE
1164 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1165 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1166 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1167 if ( IsSubShape( V, E ))
1170 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1174 if ( !shape.IsNull() )
1177 shapeID = GetMeshDS()->ShapeToIndex( shape );
1178 shapeType = shape.ShapeType(); // EDGE or FACE
1180 if ( expectedSupport < shapeType &&
1181 expectedSupport != TopAbs_SHAPE &&
1182 !myShape.IsNull() &&
1183 myShape.ShapeType() == expectedSupport )
1185 // e.g. a side of triangle connects nodes on the same EDGE but does not
1186 // lie on this EDGE (an arc with a coarse mesh)
1187 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1188 // hope that myShape is a right shape, return it if the found shape
1189 // has converted elements of corresponding dim (segments in our example)
1190 int nbConvertedElems = 0;
1191 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1192 for ( int iN = 0; iN < 2; ++iN )
1194 const SMDS_MeshNode* n = iN ? n2 : n1;
1195 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1196 while ( it->more() )
1198 const SMDS_MeshElement* elem = it->next();
1199 if ( elem->getshapeId() == shapeID &&
1200 elem->IsQuadratic() )
1207 if ( nbConvertedElems == 2 )
1209 shapeType = myShape.ShapeType();
1210 shapeID = myShapeID;
1214 return make_pair( shapeID, shapeType );
1217 //=======================================================================
1218 //function : GetCentralNode
1219 //purpose : Return existing or create a new central node for a quardilateral
1220 // quadratic face given its 8 nodes.
1221 //@param : force3d - true means node creation in between the given nodes,
1222 // else node position is found on a geometrical face if any.
1223 //=======================================================================
1225 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1226 const SMDS_MeshNode* n2,
1227 const SMDS_MeshNode* n3,
1228 const SMDS_MeshNode* n4,
1229 const SMDS_MeshNode* n12,
1230 const SMDS_MeshNode* n23,
1231 const SMDS_MeshNode* n34,
1232 const SMDS_MeshNode* n41,
1235 SMDS_MeshNode *centralNode = 0; // central node to return
1237 // Find an existing central node
1239 TBiQuad keyOfMap(n1,n2,n3,n4);
1240 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1241 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1242 if ( itMapCentralNode != myMapWithCentralNode.end() )
1244 return (*itMapCentralNode).second;
1247 // Get type of shape for the new central node
1249 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1253 TopTools_ListIteratorOfListOfShape it;
1255 std::map< int, int > faceId2nbNodes;
1256 std::map< int, int > ::iterator itMapWithIdFace;
1258 SMESHDS_Mesh* meshDS = GetMeshDS();
1260 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1261 // on sub-shapes of the FACE
1262 if ( GetMesh()->HasShapeToMesh() )
1264 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1265 for(int i = 0; i < 4; i++)
1267 shape = GetSubShapeByNode( nodes[i], meshDS );
1268 if ( shape.IsNull() ) break;
1269 if ( shape.ShapeType() == TopAbs_SOLID )
1271 solidID = nodes[i]->getshapeId();
1272 shapeType = TopAbs_SOLID;
1275 if ( shape.ShapeType() == TopAbs_FACE )
1277 faceID = nodes[i]->getshapeId();
1278 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1279 itMapWithIdFace->second++;
1283 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1284 while ( const TopoDS_Shape* face = it->next() )
1286 faceID = meshDS->ShapeToIndex( *face );
1287 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1288 itMapWithIdFace->second++;
1293 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1295 // find ID of the FACE the four corner nodes belong to
1296 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1297 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1298 itMapWithIdFace->second == 4 )
1300 shapeType = TopAbs_FACE;
1305 itMapWithIdFace = faceId2nbNodes.begin();
1306 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1308 if ( itMapWithIdFace->second == 4 )
1310 shapeType = TopAbs_FACE;
1311 faceID = (*itMapWithIdFace).first;
1319 if ( shapeType == TopAbs_FACE )
1321 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1328 bool toCheck = true;
1329 if ( !F.IsNull() && !force3d )
1332 GetNodeUV( F,n1, n3, &toCheck ),
1333 GetNodeUV( F,n2, n4, &toCheck ),
1334 GetNodeUV( F,n3, n1, &toCheck ),
1335 GetNodeUV( F,n4, n2, &toCheck ),
1336 GetNodeUV( F,n12, n3 ),
1337 GetNodeUV( F,n23, n4 ),
1338 GetNodeUV( F,n34, n2 ),
1339 GetNodeUV( F,n41, n2 )
1341 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1343 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1345 TopLoc_Location loc;
1346 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1347 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1348 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1349 // if ( mySetElemOnShape ) node is not elem!
1350 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1352 else // ( force3d || F.IsNull() )
1354 P = calcTFI (0.5, 0.5,
1355 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1356 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1357 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1358 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1359 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1361 if ( !F.IsNull() ) // force3d
1363 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1364 GetNodeUV(F,n2,n4,&toCheck) +
1365 GetNodeUV(F,n3,n1,&toCheck) +
1366 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1367 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1368 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1370 else if ( solidID > 0 )
1372 meshDS->SetNodeInVolume( centralNode, solidID );
1374 else if ( myShapeID > 0 && mySetElemOnShape )
1376 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1379 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1383 //=======================================================================
1384 //function : GetCentralNode
1385 //purpose : Return existing or create a new central node for a
1386 // quadratic triangle given its 6 nodes.
1387 //@param : force3d - true means node creation in between the given nodes,
1388 // else node position is found on a geometrical face if any.
1389 //=======================================================================
1391 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1392 const SMDS_MeshNode* n2,
1393 const SMDS_MeshNode* n3,
1394 const SMDS_MeshNode* n12,
1395 const SMDS_MeshNode* n23,
1396 const SMDS_MeshNode* n31,
1399 SMDS_MeshNode *centralNode = 0; // central node to return
1401 // Find an existing central node
1403 TBiQuad keyOfMap(n1,n2,n3);
1404 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1405 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1406 if ( itMapCentralNode != myMapWithCentralNode.end() )
1408 return (*itMapCentralNode).second;
1411 // Get type of shape for the new central node
1413 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1417 TopTools_ListIteratorOfListOfShape it;
1419 std::map< int, int > faceId2nbNodes;
1420 std::map< int, int > ::iterator itMapWithIdFace;
1422 SMESHDS_Mesh* meshDS = GetMeshDS();
1424 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1425 // on sub-shapes of the FACE
1426 if ( GetMesh()->HasShapeToMesh() )
1428 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1429 for(int i = 0; i < 3; i++)
1431 shape = GetSubShapeByNode( nodes[i], meshDS );
1432 if ( shape.IsNull() ) break;
1433 if ( shape.ShapeType() == TopAbs_SOLID )
1435 solidID = nodes[i]->getshapeId();
1436 shapeType = TopAbs_SOLID;
1439 if ( shape.ShapeType() == TopAbs_FACE )
1441 faceID = nodes[i]->getshapeId();
1442 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1443 itMapWithIdFace->second++;
1447 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1448 while ( const TopoDS_Shape* face = it->next() )
1450 faceID = meshDS->ShapeToIndex( *face );
1451 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1452 itMapWithIdFace->second++;
1457 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1459 // find ID of the FACE the four corner nodes belong to
1460 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1461 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1462 itMapWithIdFace->second == 4 )
1464 shapeType = TopAbs_FACE;
1469 itMapWithIdFace = faceId2nbNodes.begin();
1470 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1472 if ( itMapWithIdFace->second == 3 )
1474 shapeType = TopAbs_FACE;
1475 faceID = (*itMapWithIdFace).first;
1485 if ( shapeType == TopAbs_FACE )
1487 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1488 bool checkOK = true, badTria = false;
1490 GetNodeUV( F, n1, n23, &checkOK ),
1491 GetNodeUV( F, n2, n31, &checkOK ),
1492 GetNodeUV( F, n3, n12, &checkOK ),
1493 GetNodeUV( F, n12, n3, &checkOK ),
1494 GetNodeUV( F, n23, n1, &checkOK ),
1495 GetNodeUV( F, n31, n2, &checkOK )
1497 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1499 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1501 if ( badTria || !checkOK )
1505 // Create a central node
1508 if ( !F.IsNull() && !force3d )
1510 TopLoc_Location loc;
1511 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1512 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1513 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1514 // if ( mySetElemOnShape ) node is not elem!
1515 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1517 else // ( force3d || F.IsNull() )
1519 P = ( SMESH_TNodeXYZ( n12 ) +
1520 SMESH_TNodeXYZ( n23 ) +
1521 SMESH_TNodeXYZ( n31 ) ) / 3;
1522 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1524 if ( !F.IsNull() ) // force3d
1526 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1528 else if ( solidID > 0 )
1530 meshDS->SetNodeInVolume( centralNode, solidID );
1532 else if ( myShapeID > 0 && mySetElemOnShape )
1534 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1537 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1541 //=======================================================================
1542 //function : GetMediumNode
1543 //purpose : Return existing or create a new medium node between given ones
1544 //=======================================================================
1546 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1547 const SMDS_MeshNode* n2,
1549 TopAbs_ShapeEnum expectedSupport)
1551 // Find existing node
1553 SMESH_TLink link(n1,n2);
1554 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1555 if ( itLN != myTLinkNodeMap.end() ) {
1556 return (*itLN).second;
1559 // Create medium node
1562 SMESHDS_Mesh* meshDS = GetMeshDS();
1564 if ( IsSeamShape( n1->getshapeId() ))
1565 // to get a correct UV of a node on seam, the second node must have checked UV
1566 std::swap( n1, n2 );
1568 // get type of shape for the new medium node
1569 int faceID = -1, edgeID = -1;
1570 TopoDS_Edge E; double u [2];
1571 TopoDS_Face F; gp_XY uv[2];
1572 bool uvOK[2] = { true, true };
1573 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1575 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1577 // get positions of the given nodes on shapes
1578 if ( pos.second == TopAbs_FACE )
1580 F = TopoDS::Face(meshDS->IndexToShape( faceID = pos.first ));
1581 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1582 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1584 else if ( pos.second == TopAbs_EDGE )
1586 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1587 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1588 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1589 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1590 n1->getshapeId() != n2->getshapeId() )
1593 return getMediumNodeOnComposedWire(n1,n2,force3d);
1595 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1597 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1598 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1600 catch ( Standard_Failure& f )
1602 // issue 22502 / a node is on VERTEX not belonging to E
1603 // issue 22568 / both nodes are on non-connected VERTEXes
1604 return getMediumNodeOnComposedWire(n1,n2,force3d);
1608 if ( !force3d & uvOK[0] && uvOK[1] )
1610 // we try to create medium node using UV parameters of
1611 // nodes, else - medium between corresponding 3d points
1614 //if ( uvOK[0] && uvOK[1] )
1616 if ( IsDegenShape( n1->getshapeId() )) {
1617 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1618 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1620 else if ( IsDegenShape( n2->getshapeId() )) {
1621 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1622 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1624 TopLoc_Location loc;
1625 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1626 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1627 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1628 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1629 // if ( mySetElemOnShape ) node is not elem!
1630 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1631 myTLinkNodeMap.insert(make_pair(link,n12));
1635 else if ( !E.IsNull() )
1638 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1641 Standard_Boolean isPeriodic = C->IsPeriodic();
1644 Standard_Real Period = C->Period();
1645 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1646 Standard_Real pmid = (u[0]+p)/2.;
1647 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1652 gp_Pnt P = C->Value( U );
1653 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1654 //if ( mySetElemOnShape ) node is not elem!
1655 meshDS->SetNodeOnEdge(n12, edgeID, U);
1656 myTLinkNodeMap.insert(make_pair(link,n12));
1663 double x = ( n1->X() + n2->X() )/2.;
1664 double y = ( n1->Y() + n2->Y() )/2.;
1665 double z = ( n1->Z() + n2->Z() )/2.;
1666 n12 = meshDS->AddNode(x,y,z);
1668 //if ( mySetElemOnShape ) node is not elem!
1672 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1673 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1674 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1676 else if ( !E.IsNull() )
1678 double U = ( u[0] + u[1] ) / 2.;
1679 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1680 meshDS->SetNodeOnEdge(n12, edgeID, U);
1682 else if ( myShapeID > 0 && mySetElemOnShape )
1684 meshDS->SetMeshElementOnShape(n12, myShapeID);
1688 myTLinkNodeMap.insert( make_pair( link, n12 ));
1692 //================================================================================
1694 * \brief Makes a medium node if nodes reside different edges
1696 //================================================================================
1698 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1699 const SMDS_MeshNode* n2,
1702 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1703 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1704 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1706 // To find position on edge and 3D position for n12,
1707 // project <middle> to 2 edges and select projection most close to <middle>
1709 TopoDS_Edge bestEdge;
1710 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1712 // get shapes under the nodes
1713 TopoDS_Shape shape[2];
1715 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1717 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1718 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1720 shape[ nbShapes++ ] = S;
1723 vector< TopoDS_Shape > edges;
1724 for ( int iS = 0; iS < nbShapes; ++iS )
1726 switch ( shape[iS].ShapeType() ) {
1729 edges.push_back( shape[iS] );
1735 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1736 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1738 if ( edge.IsNull() )
1740 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1741 while( const TopoDS_Shape* e = eIt->next() )
1742 edges.push_back( *e );
1748 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1749 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1750 edges.push_back( e.Current() );
1757 // project to get U of projection and distance from middle to projection
1758 for ( size_t iE = 0; iE < edges.size(); ++iE )
1760 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1761 distXYZ[0] = distMiddleProj;
1763 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1764 if ( distXYZ[0] < distMiddleProj )
1766 distMiddleProj = distXYZ[0];
1772 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1773 // TopoDS_Vertex vCommon;
1774 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1775 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1778 // double f,l, u0 = GetNodeU( edges[0], n1 );
1779 // BRep_Tool::Range( edges[0],f,l );
1780 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1783 // distMiddleProj = 0;
1786 if ( !bestEdge.IsNull() )
1788 // move n12 to position of a successfull projection
1789 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1790 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1792 TopLoc_Location loc;
1793 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1794 gp_Pnt p = curve->Value( u ).Transformed( loc );
1795 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1797 //if ( mySetElemOnShape ) node is not elem!
1799 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1800 if ( edgeID != n12->getshapeId() )
1801 GetMeshDS()->UnSetNodeOnShape( n12 );
1802 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1805 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1810 //=======================================================================
1811 //function : AddNode
1812 //purpose : Creates a node
1813 //=======================================================================
1815 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, int ID,
1818 SMESHDS_Mesh * meshDS = GetMeshDS();
1819 SMDS_MeshNode* node = 0;
1821 node = meshDS->AddNodeWithID( x, y, z, ID );
1823 node = meshDS->AddNode( x, y, z );
1824 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1825 switch ( myShape.ShapeType() ) {
1826 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1827 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1828 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1829 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1830 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1837 //=======================================================================
1838 //function : AddEdge
1839 //purpose : Creates quadratic or linear edge
1840 //=======================================================================
1842 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
1843 const SMDS_MeshNode* n2,
1847 SMESHDS_Mesh * meshDS = GetMeshDS();
1849 SMDS_MeshEdge* edge = 0;
1850 if (myCreateQuadratic) {
1851 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
1853 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
1855 edge = meshDS->AddEdge(n1, n2, n12);
1859 edge = meshDS->AddEdgeWithID(n1, n2, id);
1861 edge = meshDS->AddEdge(n1, n2);
1864 if ( mySetElemOnShape && myShapeID > 0 )
1865 meshDS->SetMeshElementOnShape( edge, myShapeID );
1870 //=======================================================================
1871 //function : AddFace
1872 //purpose : Creates quadratic or linear triangle
1873 //=======================================================================
1875 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1876 const SMDS_MeshNode* n2,
1877 const SMDS_MeshNode* n3,
1881 SMESHDS_Mesh * meshDS = GetMeshDS();
1882 SMDS_MeshFace* elem = 0;
1884 if( n1==n2 || n2==n3 || n3==n1 )
1887 if(!myCreateQuadratic) {
1889 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
1891 elem = meshDS->AddFace(n1, n2, n3);
1894 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1895 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1896 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
1897 if(myCreateBiQuadratic)
1899 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
1901 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
1903 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
1908 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
1910 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
1913 if ( mySetElemOnShape && myShapeID > 0 )
1914 meshDS->SetMeshElementOnShape( elem, myShapeID );
1919 //=======================================================================
1920 //function : AddFace
1921 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
1922 //=======================================================================
1924 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
1925 const SMDS_MeshNode* n2,
1926 const SMDS_MeshNode* n3,
1927 const SMDS_MeshNode* n4,
1931 SMESHDS_Mesh * meshDS = GetMeshDS();
1932 SMDS_MeshFace* elem = 0;
1935 return AddFace(n1,n3,n4,id,force3d);
1938 return AddFace(n1,n2,n4,id,force3d);
1941 return AddFace(n1,n2,n3,id,force3d);
1944 return AddFace(n1,n2,n4,id,force3d);
1947 return AddFace(n1,n2,n3,id,force3d);
1950 return AddFace(n1,n2,n3,id,force3d);
1953 if(!myCreateQuadratic) {
1955 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
1957 elem = meshDS->AddFace(n1, n2, n3, n4);
1960 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
1961 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
1962 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
1963 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
1964 if(myCreateBiQuadratic)
1966 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
1968 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
1970 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
1975 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
1977 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
1980 if ( mySetElemOnShape && myShapeID > 0 )
1981 meshDS->SetMeshElementOnShape( elem, myShapeID );
1986 //=======================================================================
1987 //function : AddPolygonalFace
1988 //purpose : Creates polygon, with additional nodes in quadratic mesh
1989 //=======================================================================
1991 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
1995 SMESHDS_Mesh * meshDS = GetMeshDS();
1996 SMDS_MeshFace* elem = 0;
1998 if(!myCreateQuadratic) {
2000 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2002 elem = meshDS->AddPolygonalFace(nodes);
2005 vector<const SMDS_MeshNode*> newNodes;
2006 for ( int i = 0; i < nodes.size(); ++i )
2008 const SMDS_MeshNode* n1 = nodes[i];
2009 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2010 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2011 newNodes.push_back( n1 );
2012 newNodes.push_back( n12 );
2015 elem = meshDS->AddPolygonalFaceWithID(newNodes, id);
2017 elem = meshDS->AddPolygonalFace(newNodes);
2019 if ( mySetElemOnShape && myShapeID > 0 )
2020 meshDS->SetMeshElementOnShape( elem, myShapeID );
2025 //=======================================================================
2026 //function : AddVolume
2027 //purpose : Creates quadratic or linear prism
2028 //=======================================================================
2030 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2031 const SMDS_MeshNode* n2,
2032 const SMDS_MeshNode* n3,
2033 const SMDS_MeshNode* n4,
2034 const SMDS_MeshNode* n5,
2035 const SMDS_MeshNode* n6,
2039 SMESHDS_Mesh * meshDS = GetMeshDS();
2040 SMDS_MeshVolume* elem = 0;
2041 if(!myCreateQuadratic) {
2043 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2045 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2048 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2049 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2050 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2052 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2053 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2054 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2056 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2057 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2058 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2061 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2062 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2064 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2065 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2067 if ( mySetElemOnShape && myShapeID > 0 )
2068 meshDS->SetMeshElementOnShape( elem, myShapeID );
2073 //=======================================================================
2074 //function : AddVolume
2075 //purpose : Creates quadratic or linear tetrahedron
2076 //=======================================================================
2078 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2079 const SMDS_MeshNode* n2,
2080 const SMDS_MeshNode* n3,
2081 const SMDS_MeshNode* n4,
2085 SMESHDS_Mesh * meshDS = GetMeshDS();
2086 SMDS_MeshVolume* elem = 0;
2087 if(!myCreateQuadratic) {
2089 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2091 elem = meshDS->AddVolume(n1, n2, n3, n4);
2094 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2095 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2096 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2098 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2099 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2100 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2103 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2105 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2107 if ( mySetElemOnShape && myShapeID > 0 )
2108 meshDS->SetMeshElementOnShape( elem, myShapeID );
2113 //=======================================================================
2114 //function : AddVolume
2115 //purpose : Creates quadratic or linear pyramid
2116 //=======================================================================
2118 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2119 const SMDS_MeshNode* n2,
2120 const SMDS_MeshNode* n3,
2121 const SMDS_MeshNode* n4,
2122 const SMDS_MeshNode* n5,
2126 SMDS_MeshVolume* elem = 0;
2127 if(!myCreateQuadratic) {
2129 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2131 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2134 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2135 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2136 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2137 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2139 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2140 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2141 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2142 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2145 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2150 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2152 n15, n25, n35, n45);
2154 if ( mySetElemOnShape && myShapeID > 0 )
2155 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2160 //=======================================================================
2161 //function : AddVolume
2162 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2163 //=======================================================================
2165 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2166 const SMDS_MeshNode* n2,
2167 const SMDS_MeshNode* n3,
2168 const SMDS_MeshNode* n4,
2169 const SMDS_MeshNode* n5,
2170 const SMDS_MeshNode* n6,
2171 const SMDS_MeshNode* n7,
2172 const SMDS_MeshNode* n8,
2176 SMESHDS_Mesh * meshDS = GetMeshDS();
2177 SMDS_MeshVolume* elem = 0;
2178 if(!myCreateQuadratic) {
2180 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2182 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2185 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2186 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2187 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2188 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2190 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2191 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2192 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2193 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2195 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2196 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2197 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2198 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2199 if ( myCreateBiQuadratic )
2201 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2202 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2203 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2204 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2205 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2206 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2208 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2210 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2211 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2212 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2213 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2214 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2215 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2216 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2217 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2219 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2220 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2221 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2222 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2223 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2224 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2225 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2226 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2227 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2228 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2229 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2230 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2232 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2233 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2234 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2235 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2236 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2237 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2239 gp_XYZ centerCube(0.5, 0.5, 0.5);
2241 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2242 const SMDS_MeshNode* nCenter =
2243 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2244 meshDS->SetNodeInVolume( nCenter, myShapeID );
2247 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2248 n12, n23, n34, n41, n56, n67,
2249 n78, n85, n15, n26, n37, n48,
2250 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2252 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2253 n12, n23, n34, n41, n56, n67,
2254 n78, n85, n15, n26, n37, n48,
2255 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2260 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2261 n12, n23, n34, n41, n56, n67,
2262 n78, n85, n15, n26, n37, n48, id);
2264 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2265 n12, n23, n34, n41, n56, n67,
2266 n78, n85, n15, n26, n37, n48);
2269 if ( mySetElemOnShape && myShapeID > 0 )
2270 meshDS->SetMeshElementOnShape( elem, myShapeID );
2275 //=======================================================================
2276 //function : AddVolume
2277 //purpose : Creates LINEAR!!!!!!!!! octahedron
2278 //=======================================================================
2280 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2281 const SMDS_MeshNode* n2,
2282 const SMDS_MeshNode* n3,
2283 const SMDS_MeshNode* n4,
2284 const SMDS_MeshNode* n5,
2285 const SMDS_MeshNode* n6,
2286 const SMDS_MeshNode* n7,
2287 const SMDS_MeshNode* n8,
2288 const SMDS_MeshNode* n9,
2289 const SMDS_MeshNode* n10,
2290 const SMDS_MeshNode* n11,
2291 const SMDS_MeshNode* n12,
2295 SMESHDS_Mesh * meshDS = GetMeshDS();
2296 SMDS_MeshVolume* elem = 0;
2298 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2300 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2301 if ( mySetElemOnShape && myShapeID > 0 )
2302 meshDS->SetMeshElementOnShape( elem, myShapeID );
2306 //=======================================================================
2307 //function : AddPolyhedralVolume
2308 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2309 //=======================================================================
2312 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2313 const std::vector<int>& quantities,
2317 SMESHDS_Mesh * meshDS = GetMeshDS();
2318 SMDS_MeshVolume* elem = 0;
2319 if(!myCreateQuadratic)
2322 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2324 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2328 vector<const SMDS_MeshNode*> newNodes;
2329 vector<int> newQuantities;
2330 for ( int iFace=0, iN=0; iFace < quantities.size(); ++iFace)
2332 int nbNodesInFace = quantities[iFace];
2333 newQuantities.push_back(0);
2334 for ( int i = 0; i < nbNodesInFace; ++i )
2336 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2337 newNodes.push_back( n1 );
2338 newQuantities.back()++;
2340 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2341 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2342 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2344 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2345 newNodes.push_back( n12 );
2346 newQuantities.back()++;
2349 iN += nbNodesInFace;
2352 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2354 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2356 if ( mySetElemOnShape && myShapeID > 0 )
2357 meshDS->SetMeshElementOnShape( elem, myShapeID );
2364 //================================================================================
2366 * \brief Check if a node belongs to any face of sub-mesh
2368 //================================================================================
2370 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2372 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2373 while ( fIt->more() )
2374 if ( sm->Contains( fIt->next() ))
2380 //=======================================================================
2381 //function : IsSameElemGeometry
2382 //purpose : Returns true if all elements of a sub-mesh are of same shape
2383 //=======================================================================
2385 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2386 SMDSAbs_GeometryType shape,
2387 const bool nullSubMeshRes)
2389 if ( !smDS ) return nullSubMeshRes;
2391 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2392 while ( elemIt->more() ) {
2393 const SMDS_MeshElement* e = elemIt->next();
2394 if ( e->GetGeomType() != shape )
2400 //=======================================================================
2401 //function : LoadNodeColumns
2402 //purpose : Load nodes bound to face into a map of node columns
2403 //=======================================================================
2405 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2406 const TopoDS_Face& theFace,
2407 const TopoDS_Edge& theBaseEdge,
2408 SMESHDS_Mesh* theMesh,
2409 SMESH_ProxyMesh* theProxyMesh)
2411 return LoadNodeColumns(theParam2ColumnMap,
2413 std::list<TopoDS_Edge>(1,theBaseEdge),
2418 //=======================================================================
2419 //function : LoadNodeColumns
2420 //purpose : Load nodes bound to face into a map of node columns
2421 //=======================================================================
2423 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2424 const TopoDS_Face& theFace,
2425 const std::list<TopoDS_Edge>& theBaseSide,
2426 SMESHDS_Mesh* theMesh,
2427 SMESH_ProxyMesh* theProxyMesh)
2429 // get a right sub-mesh of theFace
2431 const SMESHDS_SubMesh* faceSubMesh = 0;
2434 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2435 if ( !faceSubMesh ||
2436 faceSubMesh->NbElements() == 0 ||
2437 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2439 // can use a proxy sub-mesh with not temporary elements only
2445 faceSubMesh = theMesh->MeshElements( theFace );
2446 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2449 if ( theParam2ColumnMap.empty() )
2451 // get data of edges for normalization of params
2452 vector< double > length;
2454 list<TopoDS_Edge>::const_iterator edge;
2456 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2458 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2460 length.push_back( len );
2464 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2465 edge = theBaseSide.begin();
2466 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2468 map< double, const SMDS_MeshNode*> sortedBaseNN;
2469 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2471 map< double, const SMDS_MeshNode*>::iterator u_n;
2472 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2473 // so the following solution is commented (hope forever :)
2475 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2476 // // SMDSAbs_Edge here is needed to be coherent with
2477 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2478 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2479 // // medium node on EDGE is medium in a triangle but not
2482 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2483 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2484 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2486 // const SMDS_MeshNode* node = u_n->second;
2487 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2488 // if ( faceIt->more() && node ) {
2489 // const SMDS_MeshElement* face = faceIt->next();
2490 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2494 // sortedBaseNN.erase( u_n++ );
2498 if ( sortedBaseNN.empty() ) continue;
2500 u_n = sortedBaseNN.begin();
2501 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2503 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2504 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2505 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2506 n2 != theProxyMesh->GetProxyNode( n2 ));
2507 if ( allNodesAreProxy )
2508 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2509 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2511 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2513 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2514 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2516 if ( !sortedBaseNN.empty() )
2517 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2519 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2520 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2522 if ( sortedBaseNN.empty() ) continue;
2526 BRep_Tool::Range( *edge, f, l );
2527 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2528 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2529 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2530 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2532 double par = prevPar + coeff * ( u_n->first - f );
2533 TParam2ColumnMap::iterator u2nn =
2534 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2535 u2nn->second.push_back( u_n->second );
2538 if ( theParam2ColumnMap.size() < 2 )
2543 int prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2544 int expectedNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2546 // fill theParam2ColumnMap column by column by passing from nodes on
2547 // theBaseEdge up via mesh faces on theFace
2549 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2550 par_nVec_2 = theParam2ColumnMap.begin();
2551 par_nVec_1 = par_nVec_2++;
2552 TIDSortedElemSet emptySet, avoidSet;
2553 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2555 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2556 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2557 nCol1.resize( prevNbRows + expectedNbRows );
2558 nCol2.resize( prevNbRows + expectedNbRows );
2560 int i1, i2, foundNbRows = 0;
2561 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2562 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2563 // find face sharing node n1 and n2 and belonging to faceSubMesh
2564 while ( const SMDS_MeshElement* face =
2565 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2567 if ( faceSubMesh->Contains( face ))
2569 int nbNodes = face->NbCornerNodes();
2572 if ( foundNbRows + 1 > expectedNbRows )
2574 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2575 n2 = face->GetNode( (i1+2) % 4 );
2576 nCol1[ prevNbRows + foundNbRows] = n1;
2577 nCol2[ prevNbRows + foundNbRows] = n2;
2580 avoidSet.insert( face );
2582 if ( foundNbRows != expectedNbRows )
2586 return ( theParam2ColumnMap.size() > 1 &&
2587 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectedNbRows );
2592 //================================================================================
2594 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2596 //================================================================================
2598 bool isCornerOfStructure( const SMDS_MeshNode* n,
2599 const SMESHDS_SubMesh* faceSM,
2600 SMESH_MesherHelper& faceAnalyser )
2602 int nbFacesInSM = 0;
2604 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2605 while ( fIt->more() )
2606 nbFacesInSM += faceSM->Contains( fIt->next() );
2608 if ( nbFacesInSM == 1 )
2611 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2613 return faceAnalyser.IsRealSeam( n->getshapeId() );
2619 //=======================================================================
2620 //function : IsStructured
2621 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2622 //=======================================================================
2624 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2626 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2627 if ( !fSM || fSM->NbElements() == 0 )
2630 list< TopoDS_Edge > edges;
2631 list< int > nbEdgesInWires;
2632 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2633 edges, nbEdgesInWires );
2634 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2637 // algo: find corners of a structure and then analyze nb of faces and
2638 // length of structure sides
2640 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2641 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2642 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2644 // rotate edges to get the first node being at corner
2645 // (in principle it's not necessary because so far none SALOME algo can make
2646 // such a structured mesh that all corner nodes are not on VERTEXes)
2647 bool isCorner = false;
2648 int nbRemainEdges = nbEdgesInWires.front();
2650 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2651 isCorner = isCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2654 edges.splice( edges.end(), edges, edges.begin() );
2658 while ( !isCorner && nbRemainEdges > 0 );
2663 // get all nodes from EDGEs
2664 list< const SMDS_MeshNode* > nodes;
2665 list< TopoDS_Edge >::iterator edge = edges.begin();
2666 for ( ; edge != edges.end(); ++edge )
2668 map< double, const SMDS_MeshNode* > u2Nodes;
2669 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2670 /*skipMedium=*/true, u2Nodes ))
2673 list< const SMDS_MeshNode* > edgeNodes;
2674 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2675 for ( ; u2n != u2Nodes.end(); ++u2n )
2676 edgeNodes.push_back( u2n->second );
2677 if ( edge->Orientation() == TopAbs_REVERSED )
2678 edgeNodes.reverse();
2680 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2681 edgeNodes.pop_front();
2682 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2685 // get length of structured sides
2686 vector<int> nbEdgesInSide;
2688 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2689 for ( ; n != nodes.end(); ++n )
2692 if ( isCornerOfStructure( *n, fSM, faceAnalyser )) {
2693 nbEdgesInSide.push_back( nbEdges );
2699 if ( nbEdgesInSide.size() != 4 )
2701 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2703 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2705 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2711 //=======================================================================
2712 //function : IsDistorted2D
2713 //purpose : Return true if 2D mesh on FACE is ditorted
2714 //=======================================================================
2716 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2719 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2722 bool haveBadFaces = false;
2724 SMESH_MesherHelper helper( *faceSM->GetFather() );
2725 helper.SetSubShape( faceSM->GetSubShape() );
2727 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2728 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2729 if ( !smDS || smDS->NbElements() == 0 ) return false;
2731 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2732 double prevArea = 0;
2733 vector< const SMDS_MeshNode* > nodes;
2735 bool* toCheckUV = checkUV ? & checkUV : 0;
2736 while ( faceIt->more() && !haveBadFaces )
2738 const SMDS_MeshElement* face = faceIt->next();
2741 nodes.resize( face->NbCornerNodes() );
2742 SMDS_MeshElement::iterator n = face->begin_nodes();
2743 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2746 // avoid elems on degenarate shapes as UV on them can be wrong
2747 if ( helper.HasDegeneratedEdges() )
2749 bool isOnDegen = false;
2750 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2751 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2755 // prepare to getting UVs
2756 const SMDS_MeshNode* inFaceNode = 0;
2757 if ( helper.HasSeam() ) {
2758 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2759 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2760 inFaceNode = nodes[ i ];
2765 uv.resize( nodes.size() );
2766 for ( size_t i = 0; i < nodes.size(); ++i )
2767 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2769 // compare orientation of triangles
2770 double faceArea = 0;
2771 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2773 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2774 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2775 faceArea += v2 ^ v1;
2777 haveBadFaces = ( faceArea * prevArea < 0 );
2778 prevArea = faceArea;
2781 return haveBadFaces;
2784 //================================================================================
2786 * \brief Find out elements orientation on a geometrical face
2787 * \param theFace - The face correctly oriented in the shape being meshed
2788 * \retval bool - true if the face normal and the normal of first element
2789 * in the correspoding submesh point in different directions
2791 //================================================================================
2793 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
2795 if ( theFace.IsNull() )
2798 // find out orientation of a meshed face
2799 int faceID = GetMeshDS()->ShapeToIndex( theFace );
2800 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
2801 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
2803 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
2804 if ( !aSubMeshDSFace )
2807 // find an element on a bounday of theFace
2808 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
2809 const SMDS_MeshNode* nn[2];
2810 while ( iteratorElem->more() ) // loop on elements on theFace
2812 const SMDS_MeshElement* elem = iteratorElem->next();
2813 if ( ! elem ) continue;
2815 // look for 2 nodes on EDGE
2816 int nbNodes = elem->NbCornerNodes();
2817 nn[0] = elem->GetNode( nbNodes-1 );
2818 for ( int iN = 0; iN < nbNodes; ++iN )
2820 nn[1] = elem->GetNode( iN );
2821 if ( nn[0]->GetPosition()->GetDim() < 2 &&
2822 nn[1]->GetPosition()->GetDim() < 2 )
2824 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
2825 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
2826 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
2827 if ( !E.IsNull() && !s0.IsSame( s1 ))
2831 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
2832 if ( E.IsSame( exp.Current() )) {
2834 E = exp.Current(); // to know orientation
2839 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
2840 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
2843 isReversed = ( u0 > u1 );
2844 if ( E.Orientation() == TopAbs_REVERSED )
2845 isReversed = !isReversed;
2855 // find an element with a good normal
2857 bool normalOK = false;
2859 iteratorElem = aSubMeshDSFace->GetElements();
2860 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
2862 const SMDS_MeshElement* elem = iteratorElem->next();
2863 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
2867 // get UV of a node inside theFACE
2868 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
2869 const SMDS_MeshNode* nInFace = 0;
2870 int iPosDim = SMDS_TOP_VERTEX;
2871 while ( nodesIt->more() ) // loop on nodes
2873 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
2874 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
2877 iPosDim = n->GetPosition()->GetTypeOfPosition();
2880 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
2885 // face normal at node position
2886 TopLoc_Location loc;
2887 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
2888 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
2889 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
2890 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
2893 gp_Vec d1u, d1v; gp_Pnt p;
2894 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
2895 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
2897 if ( theFace.Orientation() == TopAbs_REVERSED )
2900 return Ne * Nf < 0.;
2903 //=======================================================================
2905 //purpose : Count nb of sub-shapes
2906 //=======================================================================
2908 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
2909 const TopAbs_ShapeEnum type,
2910 const bool ignoreSame)
2913 TopTools_IndexedMapOfShape map;
2914 TopExp::MapShapes( shape, type, map );
2915 return map.Extent();
2919 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
2925 //=======================================================================
2926 //function : NbAncestors
2927 //purpose : Return number of unique ancestors of the shape
2928 //=======================================================================
2930 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
2931 const SMESH_Mesh& mesh,
2932 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
2934 TopTools_MapOfShape ancestors;
2935 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
2936 for ( ; ansIt.More(); ansIt.Next() ) {
2937 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
2938 ancestors.Add( ansIt.Value() );
2940 return ancestors.Extent();
2943 //=======================================================================
2944 //function : GetSubShapeOri
2945 //purpose : Return orientation of sub-shape in the main shape
2946 //=======================================================================
2948 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
2949 const TopoDS_Shape& subShape)
2951 TopAbs_Orientation ori = TopAbs_Orientation(-1);
2952 if ( !shape.IsNull() && !subShape.IsNull() )
2954 TopExp_Explorer e( shape, subShape.ShapeType() );
2955 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
2956 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
2957 for ( ; e.More(); e.Next())
2958 if ( subShape.IsSame( e.Current() ))
2961 ori = e.Current().Orientation();
2966 //=======================================================================
2967 //function : IsSubShape
2969 //=======================================================================
2971 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
2972 const TopoDS_Shape& mainShape )
2974 if ( !shape.IsNull() && !mainShape.IsNull() )
2976 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
2979 if ( shape.IsSame( exp.Current() ))
2982 SCRUTE((shape.IsNull()));
2983 SCRUTE((mainShape.IsNull()));
2987 //=======================================================================
2988 //function : IsSubShape
2990 //=======================================================================
2992 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
2994 if ( shape.IsNull() || !aMesh )
2997 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
2999 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3002 //=======================================================================
3003 //function : IsBlock
3005 //=======================================================================
3007 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3009 if ( shape.IsNull() )
3013 TopExp_Explorer exp( shape, TopAbs_SHELL );
3014 if ( !exp.More() ) return false;
3015 shell = TopoDS::Shell( exp.Current() );
3016 if ( exp.Next(), exp.More() ) return false;
3019 TopTools_IndexedMapOfOrientedShape map;
3020 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3024 //================================================================================
3026 * \brief Return maximal tolerance of shape
3028 //================================================================================
3030 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3032 double tol = Precision::Confusion();
3033 TopExp_Explorer exp;
3034 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3035 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3036 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3037 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3038 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3039 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3044 //================================================================================
3046 * \brief Return MaxTolerance( face ), probably cached
3048 //================================================================================
3050 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3052 int faceID = GetMeshDS()->ShapeToIndex( face );
3054 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3055 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3057 tol = MaxTolerance( face );
3062 //================================================================================
3064 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3065 * of the FACE normal
3066 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3067 * 1e100 in case of failure
3068 * \waring Care about order of the EDGEs and their orientation to be as they are
3069 * within the FACE! Don't pass degenerated EDGEs neither!
3071 //================================================================================
3073 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3074 const TopoDS_Edge & theE2,
3075 const TopoDS_Face & theFace,
3076 const TopoDS_Vertex & theCommonV,
3077 gp_Vec* theFaceNormal)
3079 double angle = 1e100;
3083 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3084 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3085 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3086 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3087 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3088 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3089 if ( c1.IsNull() || c2.IsNull() )
3091 gp_XY uv = c2d1->Value( p1 ).XY();
3092 gp_Vec du, dv; gp_Pnt p;
3093 surf->D1( uv.X(), uv.Y(), p, du, dv );
3094 gp_Vec vec1, vec2, vecRef = du ^ dv;
3097 while ( vecRef.SquareMagnitude() < 1e-25 )
3099 double dp = ( l - f ) / 1000.;
3100 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3101 uv = c2d1->Value( p1tmp ).XY();
3102 surf->D1( uv.X(), uv.Y(), p, du, dv );
3104 if ( ++nbLoops > 10 )
3107 cout << "SMESH_MesherHelper::GetAngle(): Captured in a sigularity" << endl;
3112 if ( theFace.Orientation() == TopAbs_REVERSED )
3114 if ( theFaceNormal ) *theFaceNormal = vecRef;
3116 c1->D1( p1, p, vec1 );
3117 c2->D1( p2, p, vec2 );
3118 // TopoDS_Face F = theFace;
3119 // if ( F.Orientation() == TopAbs_INTERNAL )
3120 // F.Orientation( TopAbs_FORWARD );
3121 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3123 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3125 angle = vec1.AngleWithRef( vec2, vecRef );
3127 if ( Abs ( angle ) >= 0.99 * M_PI )
3129 BRep_Tool::Range( theE1, f, l );
3130 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3131 c1->D1( p1, p, vec1 );
3132 if ( theE1.Orientation() == TopAbs_REVERSED )
3134 BRep_Tool::Range( theE2, f, l );
3135 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3136 c2->D1( p2, p, vec2 );
3137 if ( theE2.Orientation() == TopAbs_REVERSED )
3139 angle = vec1.AngleWithRef( vec2, vecRef );
3148 //================================================================================
3150 * \brief Check if the first and last vertices of an edge are the same
3151 * \param anEdge - the edge to check
3152 * \retval bool - true if same
3154 //================================================================================
3156 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3158 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3159 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3160 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3163 //================================================================================
3165 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3166 * in the case of INTERNAL edge
3168 //================================================================================
3170 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3174 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3175 anEdge.Orientation( TopAbs_FORWARD );
3177 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3178 TopoDS_Iterator vIt( anEdge, CumOri );
3179 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3182 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3185 //================================================================================
3187 * \brief Return type of shape contained in a group
3188 * \param group - a shape of type TopAbs_COMPOUND
3189 * \param avoidCompound - not to return TopAbs_COMPOUND
3191 //================================================================================
3193 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3194 const bool avoidCompound)
3196 if ( !group.IsNull() )
3198 if ( group.ShapeType() != TopAbs_COMPOUND )
3199 return group.ShapeType();
3201 // iterate on a compound
3202 TopoDS_Iterator it( group );
3204 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3206 return TopAbs_SHAPE;
3209 //=======================================================================
3210 //function : IsQuadraticMesh
3211 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3212 // quadratic elements will be created.
3213 // Used then generated 3D mesh without geometry.
3214 //=======================================================================
3216 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3218 int NbAllEdgsAndFaces=0;
3219 int NbQuadFacesAndEdgs=0;
3220 int NbFacesAndEdges=0;
3221 //All faces and edges
3222 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3223 if ( NbAllEdgsAndFaces == 0 )
3224 return SMESH_MesherHelper::LINEAR;
3226 //Quadratic faces and edges
3227 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3229 //Linear faces and edges
3230 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3232 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3234 return SMESH_MesherHelper::QUADRATIC;
3236 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3238 return SMESH_MesherHelper::LINEAR;
3241 //Mesh with both type of elements
3242 return SMESH_MesherHelper::COMP;
3245 //=======================================================================
3246 //function : GetOtherParam
3247 //purpose : Return an alternative parameter for a node on seam
3248 //=======================================================================
3250 double SMESH_MesherHelper::GetOtherParam(const double param) const
3252 int i = myParIndex & U_periodic ? 0 : 1;
3253 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3258 //=======================================================================
3260 * \brief Iterator on ancestors of the given type
3262 //=======================================================================
3264 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3266 TopTools_ListIteratorOfListOfShape _ancIter;
3267 TopAbs_ShapeEnum _type;
3268 TopTools_MapOfShape _encountered;
3269 TAncestorsIterator( const TopTools_ListOfShape& ancestors, TopAbs_ShapeEnum type)
3270 : _ancIter( ancestors ), _type( type )
3272 if ( _ancIter.More() ) {
3273 if ( _ancIter.Value().ShapeType() != _type ) next();
3274 else _encountered.Add( _ancIter.Value() );
3279 return _ancIter.More();
3281 virtual const TopoDS_Shape* next()
3283 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3284 if ( _ancIter.More() )
3285 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3286 if ( _ancIter.Value().ShapeType() == _type && _encountered.Add( _ancIter.Value() ))
3294 //=======================================================================
3296 * \brief Return iterator on ancestors of the given type
3298 //=======================================================================
3300 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3301 const SMESH_Mesh& mesh,
3302 TopAbs_ShapeEnum ancestorType)
3304 return PShapeIteratorPtr( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType));
3307 //=======================================================================
3308 //function : GetCommonAncestor
3309 //purpose : Find a common ancestors of two shapes of the given type
3310 //=======================================================================
3312 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3313 const TopoDS_Shape& shape2,
3314 const SMESH_Mesh& mesh,
3315 TopAbs_ShapeEnum ancestorType)
3317 TopoDS_Shape commonAnc;
3318 if ( !shape1.IsNull() && !shape2.IsNull() )
3320 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3322 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3325 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3326 while ( const TopoDS_Shape* anc = ancIt->next() )
3327 if ( IsSubShape( shape2, *anc ))
3336 //#include <Perf_Meter.hxx>
3338 //=======================================================================
3339 namespace { // Structures used by FixQuadraticElements()
3340 //=======================================================================
3342 #define __DMP__(txt) \
3344 #define MSG(txt) __DMP__(txt<<endl)
3345 #define MSGBEG(txt) __DMP__(txt)
3347 //const double straightTol2 = 1e-33; // to detect straing links
3348 bool isStraightLink(double linkLen2, double middleNodeMove2)
3350 // straight if <node move> < 1/15 * <link length>
3351 return middleNodeMove2 < 1/15./15. * linkLen2;
3355 // ---------------------------------------
3357 * \brief Quadratic link knowing its faces
3359 struct QLink: public SMESH_TLink
3361 const SMDS_MeshNode* _mediumNode;
3362 mutable vector<const QFace* > _faces;
3363 mutable gp_Vec _nodeMove;
3364 mutable int _nbMoves;
3365 mutable bool _is2dFixed; // is moved along surface or in 3D
3367 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3368 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3370 _nodeMove = MediumPnt() - MiddlePnt();
3371 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3373 void SetContinuesFaces() const;
3374 const QFace* GetContinuesFace( const QFace* face ) const;
3375 bool OnBoundary() const;
3376 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3377 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3379 SMDS_TypeOfPosition MediumPos() const
3380 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3381 SMDS_TypeOfPosition EndPos(bool isSecond) const
3382 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3383 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3384 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3386 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3387 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3388 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3389 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3390 bool IsFixedOnSurface() const { return _is2dFixed; }
3391 bool IsStraight() const
3392 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3393 _nodeMove.SquareMagnitude());
3395 bool operator<(const QLink& other) const {
3396 return (node1()->GetID() == other.node1()->GetID() ?
3397 node2()->GetID() < other.node2()->GetID() :
3398 node1()->GetID() < other.node1()->GetID());
3400 // struct PtrComparator {
3401 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3404 // ---------------------------------------------------------
3406 * \brief Link in the chain of links; it connects two faces
3410 const QLink* _qlink;
3411 mutable const QFace* _qfaces[2];
3413 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3414 _qfaces[0] = _qfaces[1] = 0;
3416 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3418 bool IsBoundary() const { return !_qfaces[1]; }
3420 void RemoveFace( const QFace* face ) const
3421 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3423 const QFace* NextFace( const QFace* f ) const
3424 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3426 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3427 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3429 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3431 operator bool() const { return (_qlink); }
3433 const QLink* operator->() const { return _qlink; }
3435 gp_Vec Normal() const;
3437 bool IsStraight() const;
3439 // --------------------------------------------------------------------
3440 typedef list< TChainLink > TChain;
3441 typedef set < TChainLink > TLinkSet;
3442 typedef TLinkSet::const_iterator TLinkInSet;
3444 const int theFirstStep = 5;
3446 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3447 // --------------------------------------------------------------------
3449 * \brief Quadratic face shared by two volumes and bound by QLinks
3451 struct QFace: public TIDSortedNodeSet
3453 mutable const SMDS_MeshElement* _volumes[2];
3454 mutable vector< const QLink* > _sides;
3455 mutable bool _sideIsAdded[4]; // added in chain of links
3458 mutable const SMDS_MeshElement* _face;
3461 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3463 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3465 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3467 void AddSelfToLinks() const {
3468 for ( int i = 0; i < _sides.size(); ++i )
3469 _sides[i]->_faces.push_back( this );
3471 int LinkIndex( const QLink* side ) const {
3472 for (int i=0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3475 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3477 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3479 int i = LinkIndex( link._qlink );
3480 if ( i < 0 ) return true;
3481 _sideIsAdded[i] = true;
3482 link.SetFace( this );
3483 // continue from opposite link
3484 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3486 bool IsBoundary() const { return !_volumes[1]; }
3488 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3490 bool IsSpoiled(const QLink* bentLink ) const;
3492 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3493 const TChainLink& avoidLink,
3494 TLinkInSet * notBoundaryLink = 0,
3495 const SMDS_MeshNode* nodeToContain = 0,
3496 bool * isAdjacentUsed = 0,
3497 int nbRecursionsLeft = -1) const;
3499 TLinkInSet GetLinkByNode( const TLinkSet& links,
3500 const TChainLink& avoidLink,
3501 const SMDS_MeshNode* nodeToContain) const;
3503 const SMDS_MeshNode* GetNodeInFace() const {
3504 for ( int iL = 0; iL < _sides.size(); ++iL )
3505 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3509 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3511 double MoveByBoundary( const TChainLink& theLink,
3512 const gp_Vec& theRefVec,
3513 const TLinkSet& theLinks,
3514 SMESH_MesherHelper* theFaceHelper=0,
3515 const double thePrevLen=0,
3516 const int theStep=theFirstStep,
3517 gp_Vec* theLinkNorm=0,
3518 double theSign=1.0) const;
3521 //================================================================================
3523 * \brief Dump QLink and QFace
3525 ostream& operator << (ostream& out, const QLink& l)
3527 out <<"QLink nodes: "
3528 << l.node1()->GetID() << " - "
3529 << l._mediumNode->GetID() << " - "
3530 << l.node2()->GetID() << endl;
3533 ostream& operator << (ostream& out, const QFace& f)
3535 out <<"QFace nodes: "/*<< &f << " "*/;
3536 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3537 out << (*n)->GetID() << " ";
3538 out << " \tvolumes: "
3539 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3540 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3541 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3545 //================================================================================
3547 * \brief Construct QFace from QLinks
3549 //================================================================================
3551 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3553 _volumes[0] = _volumes[1] = 0;
3555 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3556 _normal.SetCoord(0,0,0);
3557 for ( int i = 1; i < _sides.size(); ++i ) {
3558 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3559 insert( l1->node1() ); insert( l1->node2() );
3561 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3562 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3563 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3567 double normSqSize = _normal.SquareMagnitude();
3568 if ( normSqSize > numeric_limits<double>::min() )
3569 _normal /= sqrt( normSqSize );
3571 _normal.SetCoord(1e-33,0,0);
3577 //================================================================================
3579 * \brief Make up a chain of links
3580 * \param iSide - link to add first
3581 * \param chain - chain to fill in
3582 * \param pos - postion of medium nodes the links should have
3583 * \param error - out, specifies what is wrong
3584 * \retval bool - false if valid chain can't be built; "valid" means that links
3585 * of the chain belongs to rectangles bounding hexahedrons
3587 //================================================================================
3589 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3591 if ( iSide >= _sides.size() ) // wrong argument iSide
3593 if ( _sideIsAdded[ iSide ]) // already in chain
3596 if ( _sides.size() != 4 ) { // triangle - visit all my continous faces
3599 list< const QFace* > faces( 1, this );
3600 while ( !faces.empty() ) {
3601 const QFace* face = faces.front();
3602 for ( int i = 0; i < face->_sides.size(); ++i ) {
3603 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3604 face->_sideIsAdded[i] = true;
3605 // find a face side in the chain
3606 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3607 // TChain::iterator chLink = chain.begin();
3608 // for ( ; chLink != chain.end(); ++chLink )
3609 // if ( chLink->_qlink == face->_sides[i] )
3611 // if ( chLink == chain.end() )
3612 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3613 // add a face to a chained link and put a continues face in the queue
3614 chLink->SetFace( face );
3615 if ( face->_sides[i]->MediumPos() == pos )
3616 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3617 if ( contFace->_sides.size() == 3 )
3618 faces.push_back( contFace );
3623 if ( error < ERR_TRI )
3625 chain.insert( chain.end(), links.begin(),links.end() );
3628 _sideIsAdded[iSide] = true; // not to add this link to chain again
3629 const QLink* link = _sides[iSide];
3633 // add link into chain
3634 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3635 chLink->SetFace( this );
3638 // propagate from a quadrangle to neighbour faces
3639 if ( link->MediumPos() >= pos ) {
3640 int nbLinkFaces = link->_faces.size();
3641 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3642 // hexahedral mesh or boundary quadrangles - goto a continous face
3643 if ( const QFace* f = link->GetContinuesFace( this ))
3644 if ( f->_sides.size() == 4 )
3645 return f->GetLinkChain( *chLink, chain, pos, error );
3648 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3649 for ( int i = 0; i < nbLinkFaces; ++i )
3650 if ( link->_faces[i] )
3651 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3652 if ( error < ERR_PRISM )
3660 //================================================================================
3662 * \brief Return a boundary link of the triangle face
3663 * \param links - set of all links
3664 * \param avoidLink - link not to return
3665 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3666 * \param nodeToContain - node the returned link must contain; if provided, search
3667 * also performed on adjacent faces
3668 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3669 * \param nbRecursionsLeft - to limit recursion
3671 //================================================================================
3673 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3674 const TChainLink& avoidLink,
3675 TLinkInSet * notBoundaryLink,
3676 const SMDS_MeshNode* nodeToContain,
3677 bool * isAdjacentUsed,
3678 int nbRecursionsLeft) const
3680 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3682 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3683 TFaceLinkList adjacentFaces;
3685 for ( int iL = 0; iL < _sides.size(); ++iL )
3687 if ( avoidLink._qlink == _sides[iL] )
3689 TLinkInSet link = links.find( _sides[iL] );
3690 if ( link == linksEnd ) continue;
3691 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3692 continue; // We work on faces here, don't go inside a solid
3695 if ( link->IsBoundary() ) {
3696 if ( !nodeToContain ||
3697 (*link)->node1() == nodeToContain ||
3698 (*link)->node2() == nodeToContain )
3700 boundaryLink = link;
3701 if ( !notBoundaryLink ) break;
3704 else if ( notBoundaryLink ) {
3705 *notBoundaryLink = link;
3706 if ( boundaryLink != linksEnd ) break;
3709 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
3710 if ( const QFace* adj = link->NextFace( this ))
3711 if ( adj->Contains( nodeToContain ))
3712 adjacentFaces.push_back( make_pair( adj, link ));
3715 if ( isAdjacentUsed ) *isAdjacentUsed = false;
3716 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
3718 if ( nbRecursionsLeft < 0 )
3719 nbRecursionsLeft = nodeToContain->NbInverseElements();
3720 TFaceLinkList::iterator adj = adjacentFaces.begin();
3721 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
3722 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
3723 isAdjacentUsed, nbRecursionsLeft-1);
3724 if ( isAdjacentUsed ) *isAdjacentUsed = true;
3726 return boundaryLink;
3728 //================================================================================
3730 * \brief Return a link ending at the given node but not avoidLink
3732 //================================================================================
3734 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
3735 const TChainLink& avoidLink,
3736 const SMDS_MeshNode* nodeToContain) const
3738 for ( int i = 0; i < _sides.size(); ++i )
3739 if ( avoidLink._qlink != _sides[i] &&
3740 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
3741 return links.find( _sides[ i ]);
3745 //================================================================================
3747 * \brief Return normal to the i-th side pointing outside the face
3749 //================================================================================
3751 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
3753 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3754 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
3755 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
3756 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
3758 if ( norm * vecOut < 0 )
3760 double mag2 = norm.SquareMagnitude();
3761 if ( mag2 > numeric_limits<double>::min() )
3762 norm /= sqrt( mag2 );
3765 //================================================================================
3767 * \brief Move medium node of theLink according to its distance from boundary
3768 * \param theLink - link to fix
3769 * \param theRefVec - movement of boundary
3770 * \param theLinks - all adjacent links of continous triangles
3771 * \param theFaceHelper - helper is not used so far
3772 * \param thePrevLen - distance from the boundary
3773 * \param theStep - number of steps till movement propagation limit
3774 * \param theLinkNorm - out normal to theLink
3775 * \param theSign - 1 or -1 depending on movement of boundary
3776 * \retval double - distance from boundary to propagation limit or other boundary
3778 //================================================================================
3780 double QFace::MoveByBoundary( const TChainLink& theLink,
3781 const gp_Vec& theRefVec,
3782 const TLinkSet& theLinks,
3783 SMESH_MesherHelper* theFaceHelper,
3784 const double thePrevLen,
3786 gp_Vec* theLinkNorm,
3787 double theSign) const
3790 return thePrevLen; // propagation limit reached
3792 int iL; // index of theLink
3793 for ( iL = 0; iL < _sides.size(); ++iL )
3794 if ( theLink._qlink == _sides[ iL ])
3797 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
3798 <<" thePrevLen " << thePrevLen);
3799 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
3801 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
3802 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
3803 if ( theStep == theFirstStep )
3804 theSign = refProj < 0. ? -1. : 1.;
3805 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
3806 return thePrevLen; // to propagate movement forward only, not in side dir or backward
3808 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
3809 TLinkInSet link1 = theLinks.find( _sides[iL1] );
3810 TLinkInSet link2 = theLinks.find( _sides[iL2] );
3812 const QFace *f1 = 0, *f2 = 0; // adjacent faces
3813 bool isBndLink1 = true, isBndLink2 = true;
3814 if ( link1 != theLinks.end() && link2 != theLinks.end() )
3816 f1 = link1->NextFace( this );
3817 f2 = link2->NextFace( this );
3819 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
3820 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
3821 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
3823 if ( !isBndLink1 && !f1 )
3824 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
3825 if ( !isBndLink2 && !f2 )
3826 f2 = (*link2)->GetContinuesFace( this );
3829 else if ( _sides.size() < 4 )
3832 // propagate to adjacent faces till limit step or boundary
3833 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
3834 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
3835 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
3836 gp_Vec linkDir2(0,0,0);
3839 if ( f1 && !isBndLink1 )
3840 len1 = f1->MoveByBoundary
3841 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
3843 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
3845 MSG( " --------------- EXCEPTION");
3850 if ( f2 && !isBndLink2 )
3851 len2 = f2->MoveByBoundary
3852 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
3854 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
3856 MSG( " --------------- EXCEPTION");
3861 if ( theStep != theFirstStep )
3863 // choose chain length by direction of propagation most codirected with theRefVec
3864 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
3865 fullLen = choose1 ? len1 : len2;
3866 double r = thePrevLen / fullLen;
3868 gp_Vec move = linkNorm * refProj * ( 1 - r );
3869 theLink->Move( move, /*sum=*/true );
3871 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
3872 " by " << refProj * ( 1 - r ) << " following " <<
3873 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
3875 if ( theLinkNorm ) *theLinkNorm = linkNorm;
3880 //================================================================================
3882 * \brief Checks if the face is distorted due to bentLink
3884 //================================================================================
3886 bool QFace::IsSpoiled(const QLink* bentLink ) const
3888 // code is valid for convex faces only
3890 for ( TIDSortedNodeSet::const_iterator n = begin(); n!=end(); ++n)
3891 gc += XYZ( *n ) / size();
3892 for (unsigned i = 0; i < _sides.size(); ++i )
3894 if ( _sides[i] == bentLink ) continue;
3895 gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
3896 gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
3897 if ( linkNorm * vecOut < 0 )
3899 double mag2 = linkNorm.SquareMagnitude();
3900 if ( mag2 > numeric_limits<double>::min() )
3901 linkNorm /= sqrt( mag2 );
3902 gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
3903 gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
3904 if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
3911 //================================================================================
3913 * \brief Find pairs of continues faces
3915 //================================================================================
3917 void QLink::SetContinuesFaces() const
3919 // x0 x - QLink, [-|] - QFace, v - volume
3921 // | Between _faces of link x2 two vertical faces are continues
3922 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
3923 // | to _faces[0] and _faces[1] and horizontal faces to
3924 // v2 | v3 _faces[2] and _faces[3] (or vise versa).
3927 if ( _faces.empty() )
3929 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
3930 if ( _faces[0]->IsBoundary() )
3931 iBoundary[ nbBoundary++ ] = 0;
3932 for ( int iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
3934 // look for a face bounding none of volumes bound by _faces[0]
3935 bool sameVol = false;
3936 int nbVol = _faces[iF]->NbVolumes();
3937 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
3938 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
3939 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
3942 if ( _faces[iF]->IsBoundary() )
3943 iBoundary[ nbBoundary++ ] = iF;
3945 // Set continues faces: arrange _faces to have
3946 // _faces[0] continues to _faces[1]
3947 // _faces[2] continues to _faces[3]
3948 if ( nbBoundary == 2 ) // bnd faces are continues
3950 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
3952 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
3953 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
3956 else if ( iFaceCont > 0 ) // continues faces found
3958 if ( iFaceCont != 1 )
3959 std::swap( _faces[1], _faces[iFaceCont] );
3961 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
3963 _faces.insert( ++_faces.begin(), (QFace*) 0 );
3966 //================================================================================
3968 * \brief Return a face continues to the given one
3970 //================================================================================
3972 const QFace* QLink::GetContinuesFace( const QFace* face ) const
3974 for ( int i = 0; i < _faces.size(); ++i ) {
3975 if ( _faces[i] == face ) {
3976 int iF = i < 2 ? 1-i : 5-i;
3977 return iF < _faces.size() ? _faces[iF] : 0;
3982 //================================================================================
3984 * \brief True if link is on mesh boundary
3986 //================================================================================
3988 bool QLink::OnBoundary() const
3990 for ( int i = 0; i < _faces.size(); ++i )
3991 if (_faces[i] && _faces[i]->IsBoundary()) return true;
3994 //================================================================================
3996 * \brief Return normal of link of the chain
3998 //================================================================================
4000 gp_Vec TChainLink::Normal() const {
4002 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4003 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4006 //================================================================================
4008 * \brief Test link curvature taking into account size of faces
4010 //================================================================================
4012 bool TChainLink::IsStraight() const
4014 bool isStraight = _qlink->IsStraight();
4015 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4017 int i = _qfaces[0]->LinkIndex( _qlink );
4018 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4019 gp_XYZ mid1 = _qlink->MiddlePnt();
4020 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4021 double faceSize2 = (mid1-mid2).SquareModulus();
4022 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4027 //================================================================================
4029 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4031 //================================================================================
4033 void fixPrism( TChain& allLinks )
4035 // separate boundary links from internal ones
4036 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4037 QLinkSet interLinks, bndLinks1, bndLink2;
4039 bool isCurved = false;
4040 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4041 if ( (*lnk)->OnBoundary() )
4042 bndLinks1.insert( lnk->_qlink );
4044 interLinks.insert( lnk->_qlink );
4045 isCurved = isCurved || !lnk->IsStraight();
4048 return; // no need to move
4050 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4052 while ( !interLinks.empty() && !curBndLinks->empty() )
4054 // propagate movement from boundary links to connected internal links
4055 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4056 for ( ; bnd != bndEnd; ++bnd )
4058 const QLink* bndLink = *bnd;
4059 for ( int i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4061 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4062 if ( !face ) continue;
4063 // find and move internal link opposite to bndLink within the face
4064 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4065 const QLink* interLink = face->_sides[ interInd ];
4066 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4067 if ( pInterLink == interLinks.end() ) continue; // not internal link
4068 interLink->Move( bndLink->_nodeMove );
4069 // treated internal links become new boundary ones
4070 interLinks.erase( pInterLink );
4071 newBndLinks->insert( interLink );
4074 curBndLinks->clear();
4075 std::swap( curBndLinks, newBndLinks );
4079 //================================================================================
4081 * \brief Fix links of continues triangles near curved boundary
4083 //================================================================================
4085 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4087 if ( allLinks.empty() ) return;
4089 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4090 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4092 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4094 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4096 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4097 const QFace* face = linkIt->_qfaces[0];
4098 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4099 face->_sides[1]->MiddlePnt() +
4100 face->_sides[2]->MiddlePnt() ) / 3.;
4101 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4102 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4103 //if ( face->IsSpoiled( linkIt->_qlink ))
4104 if ( linkBentInside )
4105 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4110 //================================================================================
4112 * \brief Detect rectangular structure of links and build chains from them
4114 //================================================================================
4116 enum TSplitTriaResult {
4117 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4118 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4120 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4121 vector< TChain> & resultChains,
4122 SMDS_TypeOfPosition pos )
4124 // put links in the set and evalute number of result chains by number of boundary links
4127 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4128 linkSet.insert( *lnk );
4129 nbBndLinks += lnk->IsBoundary();
4131 resultChains.clear();
4132 resultChains.reserve( nbBndLinks / 2 );
4134 TLinkInSet linkIt, linksEnd = linkSet.end();
4136 // find a boundary link with corner node; corner node has position pos-2
4137 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4139 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4140 const SMDS_MeshNode* corner = 0;
4141 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4142 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4147 TLinkInSet startLink = linkIt;
4148 const SMDS_MeshNode* startCorner = corner;
4149 vector< TChain* > rowChains;
4152 while ( startLink != linksEnd) // loop on columns
4154 // We suppose we have a rectangular structure like shown here. We have found a
4155 // corner of the rectangle (startCorner) and a boundary link sharing
4156 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4157 // --o---o---o structure making several chains at once. One chain (columnChain)
4158 // |\ | /| starts at startLink and continues upward (we look at the structure
4159 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4160 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4161 // --o---o---o encounter.
4163 // / | \ | \ | startCorner
4168 if ( resultChains.size() == nbBndLinks / 2 )
4170 resultChains.push_back( TChain() );
4171 TChain& columnChain = resultChains.back();
4173 TLinkInSet botLink = startLink; // current horizontal link to go up from
4174 corner = startCorner; // current corner the botLink ends at
4176 while ( botLink != linksEnd ) // loop on rows
4178 // add botLink to the columnChain
4179 columnChain.push_back( *botLink );
4181 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4183 { // the column ends
4184 if ( botLink == startLink )
4185 return _TWISTED_CHAIN; // issue 0020951
4186 linkSet.erase( botLink );
4187 if ( iRow != rowChains.size() )
4188 return _FEW_ROWS; // different nb of rows in columns
4191 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4192 // link ending at <corner> (sideLink); there are two cases:
4193 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4194 // since midQuadLink is not at boundary while sideLink is.
4195 // 2) midQuadLink ends at <corner>
4197 TLinkInSet midQuadLink = linksEnd;
4198 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4200 if ( isCase2 ) { // find midQuadLink among links of botTria
4201 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4202 if ( midQuadLink->IsBoundary() )
4203 return _BAD_MIDQUAD;
4205 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4206 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4209 columnChain.push_back( *midQuadLink );
4210 if ( iRow >= rowChains.size() ) {
4212 return _MANY_ROWS; // different nb of rows in columns
4213 if ( resultChains.size() == nbBndLinks / 2 )
4215 resultChains.push_back( TChain() );
4216 rowChains.push_back( & resultChains.back() );
4218 rowChains[iRow]->push_back( *sideLink );
4219 rowChains[iRow]->push_back( *midQuadLink );
4221 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4225 // prepare startCorner and startLink for the next column
4226 startCorner = startLink->NextNode( startCorner );
4228 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4230 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4231 // check if no more columns remains
4232 if ( startLink != linksEnd ) {
4233 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4234 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4235 startLink = linksEnd; // startLink bounds upTria or botTria
4236 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4240 // find bottom link and corner for the next row
4241 corner = sideLink->NextNode( corner );
4242 // next bottom link ends at the new corner
4243 linkSet.erase( botLink );
4244 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4245 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4247 if ( midQuadLink == startLink || sideLink == startLink )
4248 return _TWISTED_CHAIN; // issue 0020951
4249 linkSet.erase( midQuadLink );
4250 linkSet.erase( sideLink );
4252 // make faces neighboring the found ones be boundary
4253 if ( startLink != linksEnd ) {
4254 const QFace* tria = isCase2 ? botTria : upTria;
4255 for ( int iL = 0; iL < 3; ++iL ) {
4256 linkIt = linkSet.find( tria->_sides[iL] );
4257 if ( linkIt != linksEnd )
4258 linkIt->RemoveFace( tria );
4261 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4262 botLink->RemoveFace( upTria ); // make next botTria first in vector
4269 // In the linkSet, there must remain the last links of rowChains; add them
4270 if ( linkSet.size() != rowChains.size() )
4271 return _BAD_SET_SIZE;
4272 for ( int iRow = 0; iRow < rowChains.size(); ++iRow ) {
4273 // find the link (startLink) ending at startCorner
4275 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4276 if ( (*startLink)->node1() == startCorner ) {
4277 corner = (*startLink)->node2(); break;
4279 else if ( (*startLink)->node2() == startCorner) {
4280 corner = (*startLink)->node1(); break;
4283 if ( startLink == linksEnd )
4285 rowChains[ iRow ]->push_back( *startLink );
4286 linkSet.erase( startLink );
4287 startCorner = corner;
4293 //================================================================================
4295 * \brief Place medium nodes at the link middle for elements whose corner nodes
4296 * are out of geometrical boundary to prevent distorting elements.
4297 * Issue 0020982, note 0013990
4299 //================================================================================
4301 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4302 SMESH_ComputeErrorPtr& theError)
4304 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4305 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4306 if ( shape.IsNull() ) return;
4308 if ( !theError ) theError = SMESH_ComputeError::New();
4312 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4314 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4316 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4317 if ( !faceSM ) return;
4319 const TopoDS_Face& face = TopoDS::Face( shape );
4320 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4322 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4323 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4325 // check if the EDGE needs checking
4326 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4327 if ( SMESH_Algo::isDegenerated( edge ) )
4329 if ( theHelper.IsRealSeam( edge ) &&
4330 edge.Orientation() == TopAbs_REVERSED )
4333 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4334 if ( !edgeSM ) continue;
4337 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4338 BRepAdaptor_Curve curve3D( edge );
4339 switch ( curve3D.GetType() ) {
4340 case GeomAbs_Line: continue;
4341 case GeomAbs_Circle:
4342 case GeomAbs_Ellipse:
4343 case GeomAbs_Hyperbola:
4344 case GeomAbs_Parabola:
4347 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4348 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4349 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4350 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4351 gp_Vec fNorm = Du1 ^ Dv1;
4352 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4353 continue; // face is normal to the curve3D
4355 gp_Vec curvNorm = fNorm ^ D1;
4356 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4357 if ( curvNorm * D2 > 0 )
4358 continue; // convex edge
4360 catch ( Standard_Failure )
4365 // get nodes shared by faces that may be distorted
4366 SMDS_NodeIteratorPtr nodeIt;
4367 if ( edgeSM->NbNodes() > 0 ) {
4368 nodeIt = edgeSM->GetNodes();
4371 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4373 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4374 if ( !vertexSM ) continue;
4375 nodeIt = vertexSM->GetNodes();
4378 // find suspicious faces
4379 TIDSortedElemSet checkedFaces;
4380 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4381 const SMDS_MeshNode* nOnFace;
4382 while ( nodeIt->more() )
4384 const SMDS_MeshNode* n = nodeIt->next();
4385 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4386 while ( faceIt->more() )
4388 const SMDS_MeshElement* f = faceIt->next();
4389 if ( !faceSM->Contains( f ) ||
4390 f->NbNodes() < 6 || // check quadratic triangles only
4391 !checkedFaces.insert( f ).second )
4394 // get nodes on EDGE and on FACE of a suspicious face
4395 nOnEdge.clear(); nOnFace = 0;
4396 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4397 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4400 if ( n->GetPosition()->GetDim() == 2 )
4403 nOnEdge.push_back( n );
4406 // check if nOnFace is inside the FACE
4407 if ( nOnFace && nOnEdge.size() == 2 )
4409 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4410 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4412 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4413 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4414 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4415 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4416 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4417 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4418 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4419 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4420 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4422 // nOnFace is out of FACE, move a medium on-edge node to the middle
4423 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4424 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4425 MSG( "move OUT of face " << n );
4426 theError->myBadElements.push_back( f );
4432 if ( !theError->myBadElements.empty() )
4433 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4436 } // 2D ==============================================================================
4438 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4440 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4441 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4443 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4444 if ( !solidSM ) return;
4446 // check if the SOLID is bound by concave FACEs
4447 vector< TopoDS_Face > concaveFaces;
4448 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4449 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4451 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4452 if ( !meshDS->MeshElements( face )) continue;
4454 BRepAdaptor_Surface surface( face );
4455 switch ( surface.GetType() ) {
4456 case GeomAbs_Plane: continue;
4457 case GeomAbs_Cylinder:
4459 case GeomAbs_Sphere:
4462 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4463 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4464 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4465 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4466 gp_Vec fNorm = Du1 ^ Dv1;
4467 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4468 bool concaveU = ( fNorm * Du2 > 1e-100 );
4469 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4470 if ( concaveU || concaveV )
4471 concaveFaces.push_back( face );
4473 catch ( Standard_Failure )
4475 concaveFaces.push_back( face );
4479 if ( concaveFaces.empty() )
4482 // fix 2D mesh on the SOLID
4483 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4485 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4486 faceHelper.SetSubShape( faceIt.Current() );
4487 force3DOutOfBoundary( faceHelper, theError );
4490 // get an iterator over faces on concaveFaces
4491 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4492 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4493 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4494 typedef SMDS_IteratorOnIterators
4495 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4496 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4498 // a seacher to check if a volume is close to a concave face
4499 std::auto_ptr< SMESH_ElementSearcher > faceSearcher
4500 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4503 //BRepClass3d_SolidClassifier solidClassifier( shape );
4505 TIDSortedElemSet checkedVols, movedNodes;
4506 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4507 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4509 //const TopoDS_Shape& face = faceIt.Current();
4510 const TopoDS_Shape& face = concaveFaces[ iF ];
4511 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4512 if ( !faceSM ) continue;
4514 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4515 SMDS_NodeIteratorPtr nodeIt;
4516 if ( faceSM->NbNodes() > 0 ) {
4517 nodeIt = faceSM->GetNodes();
4520 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4521 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4522 if ( !vertexSM ) continue;
4523 nodeIt = vertexSM->GetNodes();
4525 // get ids of sub-shapes of the FACE
4527 SMESH_subMeshIteratorPtr smIt =
4528 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4529 while ( smIt->more() )
4530 subIDs.insert( smIt->next()->GetId() );
4532 // find suspicious volumes adjacent to the FACE
4533 vector< const SMDS_MeshNode* > nOnFace( 4 );
4534 const SMDS_MeshNode* nInSolid;
4535 while ( nodeIt->more() )
4537 const SMDS_MeshNode* n = nodeIt->next();
4538 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4539 while ( volIt->more() )
4541 const SMDS_MeshElement* vol = volIt->next();
4542 int nbN = vol->NbCornerNodes();
4543 if ( ( nbN != 4 && nbN != 5 ) ||
4544 !solidSM->Contains( vol ) ||
4545 !checkedVols.insert( vol ).second )
4548 // get nodes on FACE and in SOLID of a suspicious volume
4549 nOnFace.clear(); nInSolid = 0;
4550 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4551 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4554 if ( n->GetPosition()->GetDim() == 3 )
4556 else if ( subIDs.count( n->getshapeId() ))
4557 nOnFace.push_back( n );
4561 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4564 // get size of the vol
4565 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4566 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4567 for ( size_t i = 1; i < nOnFace.size(); ++i )
4569 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4572 // check if vol is close to concaveFaces
4573 const SMDS_MeshElement* closeFace =
4574 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4576 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4579 // check if vol is distorted, i.e. a medium node is much closer
4580 // to nInSolid than the link middle
4581 bool isDistorted = false;
4582 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4583 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4585 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4586 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4587 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4588 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4590 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4591 TLinkNodeMap::const_iterator linkIt =
4592 theHelper.GetTLinkNodeMap().find( link );
4593 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4595 links.push_back( make_pair( linkIt->first, linkIt->second ));
4596 if ( !isDistorted ) {
4597 // compare projections of nInSolid and nMedium to face normal
4598 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4599 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4600 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4601 isDistorted = ( Abs( hMedium ) > Abs( hVol * 0.5 ));
4605 // move medium nodes to link middle
4608 for ( size_t i = 0; i < links.size(); ++i )
4610 const SMDS_MeshNode* nMedium = links[i].second;
4611 if ( movedNodes.insert( nMedium ).second )
4613 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4614 SMESH_TNodeXYZ( links[i].first.node2() ));
4615 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4616 MSG( "move OUT of solid " << nMedium );
4619 theError->myBadElements.push_back( vol );
4621 } // loop on volumes sharing a node on FACE
4622 } // loop on nodes on FACE
4623 } // loop on FACEs of a SOLID
4625 if ( !theError->myBadElements.empty() )
4626 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4632 //=======================================================================
4634 * \brief Move medium nodes of faces and volumes to fix distorted elements
4635 * \param error - container of fixed distorted elements
4636 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4638 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4640 //=======================================================================
4642 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4645 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4646 if ( getenv("NO_FixQuadraticElements") )
4649 // 0. Apply algorithm to SOLIDs or FACEs
4650 // ----------------------------------------------
4651 if ( myShape.IsNull() ) {
4652 if ( !myMesh->HasShapeToMesh() ) return;
4653 SetSubShape( myMesh->GetShapeToMesh() );
4657 TopTools_IndexedMapOfShape solids;
4658 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4659 nbSolids = solids.Extent();
4661 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4662 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4663 faces.Add( f.Current() ); // not in solid
4665 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4666 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4667 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4668 faces.Add( f.Current() ); // in not meshed solid
4670 else { // fix nodes in the solid and its faces
4672 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4674 SMESH_MesherHelper h(*myMesh);
4675 h.SetSubShape( s.Current() );
4676 h.ToFixNodeParameters(true);
4677 h.FixQuadraticElements( compError, false );
4680 // fix nodes on geom faces
4682 int nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
4684 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
4685 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
4686 SMESH_MesherHelper h(*myMesh);
4687 h.SetSubShape( fIt.Key() );
4688 h.ToFixNodeParameters(true);
4689 h.FixQuadraticElements( compError, true);
4691 //perf_print_all_meters(1);
4692 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
4693 compError->myComment = "during conversion to quadratic, "
4694 "some medium nodes were not placed on geometry to avoid distorting elements";
4698 // 1. Find out type of elements and get iterator on them
4699 // ---------------------------------------------------
4701 SMDS_ElemIteratorPtr elemIt;
4702 SMDSAbs_ElementType elemType = SMDSAbs_All;
4704 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
4707 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
4708 elemIt = smDS->GetElements();
4709 if ( elemIt->more() ) {
4710 elemType = elemIt->next()->GetType();
4711 elemIt = smDS->GetElements();
4714 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
4717 // 2. Fill in auxiliary data structures
4718 // ----------------------------------
4722 set< QLink >::iterator pLink;
4723 set< QFace >::iterator pFace;
4725 bool isCurved = false;
4726 //bool hasRectFaces = false;
4727 //set<int> nbElemNodeSet;
4728 SMDS_VolumeTool volTool;
4730 TIDSortedNodeSet apexOfPyramid;
4731 const int apexIndex = 4;
4734 // Move medium nodes to the link middle for elements whose corner nodes
4735 // are out of geometrical boundary to fix distorted elements.
4736 force3DOutOfBoundary( *this, compError );
4738 if ( elemType == SMDSAbs_Volume )
4740 while ( elemIt->more() ) // loop on volumes
4742 const SMDS_MeshElement* vol = elemIt->next();
4743 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
4745 double volMinSize2 = -1.;
4746 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
4748 int nbN = volTool.NbFaceNodes( iF );
4749 //nbElemNodeSet.insert( nbN );
4750 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
4751 vector< const QLink* > faceLinks( nbN/2 );
4752 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
4755 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
4756 pLink = links.insert( link ).first;
4757 faceLinks[ iN/2 ] = & *pLink;
4759 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
4761 if ( !link.IsStraight() )
4762 return; // already fixed
4764 else if ( !isCurved )
4766 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
4767 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
4771 pFace = faces.insert( QFace( faceLinks )).first;
4772 if ( pFace->NbVolumes() == 0 )
4773 pFace->AddSelfToLinks();
4774 pFace->SetVolume( vol );
4775 // hasRectFaces = hasRectFaces ||
4776 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
4777 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
4780 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
4782 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
4783 faceNodes[4],faceNodes[6] );
4786 // collect pyramid apexes for further correction
4787 if ( vol->NbCornerNodes() == 5 )
4788 apexOfPyramid.insert( vol->GetNode( apexIndex ));
4790 set< QLink >::iterator pLink = links.begin();
4791 for ( ; pLink != links.end(); ++pLink )
4792 pLink->SetContinuesFaces();
4796 while ( elemIt->more() ) // loop on faces
4798 const SMDS_MeshElement* face = elemIt->next();
4799 if ( !face->IsQuadratic() )
4801 //nbElemNodeSet.insert( face->NbNodes() );
4802 int nbN = face->NbNodes()/2;
4803 vector< const QLink* > faceLinks( nbN );
4804 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
4807 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
4808 pLink = links.insert( link ).first;
4809 faceLinks[ iN ] = & *pLink;
4811 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
4812 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
4813 isCurved = !link.IsStraight();
4816 pFace = faces.insert( QFace( faceLinks )).first;
4817 pFace->AddSelfToLinks();
4818 //hasRectFaces = ( hasRectFaces || nbN == 4 );
4822 return; // no curved edges of faces
4824 // 3. Compute displacement of medium nodes
4825 // ---------------------------------------
4827 SMESH_MesherHelper faceHlp(*myMesh);
4829 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
4830 TopLoc_Location loc;
4832 // not to treat boundary of volumic sub-mesh.
4833 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
4834 for ( ; isInside < 2; ++isInside )
4836 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
4837 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
4838 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
4840 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
4841 if ( bool(isInside) == pFace->IsBoundary() )
4843 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
4846 // make chain of links connected via continues faces
4849 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
4851 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
4853 vector< TChain > chains;
4854 if ( error == ERR_OK ) { // chain contains continues rectangles
4856 chains[0].splice( chains[0].begin(), rawChain );
4858 else if ( error == ERR_TRI ) { // chain contains continues triangles
4859 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
4860 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
4861 fixTriaNearBoundary( rawChain, *this );
4865 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
4866 fixPrism( rawChain );
4872 for ( int iC = 0; iC < chains.size(); ++iC )
4874 TChain& chain = chains[iC];
4875 if ( chain.empty() ) continue;
4876 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
4877 MSG("3D straight - ignore");
4880 if ( chain.front()->MediumPos() > bndPos ||
4881 chain.back() ->MediumPos() > bndPos ) {
4882 MSG("Internal chain - ignore");
4885 // mesure chain length and compute link position along the chain
4886 double chainLen = 0;
4887 vector< double > linkPos;
4888 TChain savedChain; // backup
4889 MSGBEG( "Link medium nodes: ");
4890 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
4891 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
4892 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
4893 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4894 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
4895 if ( savedChain.empty() ) savedChain = chain;
4896 link1 = chain.erase( link1 );
4897 if ( link1 == chain.end() )
4899 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
4902 linkPos.push_back( chainLen );
4905 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
4910 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
4912 linkPos.push_back( chainLen );
4915 gp_Vec move0 = chain.front()->_nodeMove;
4916 gp_Vec move1 = chain.back ()->_nodeMove;
4921 // compute node displacement of end links of chain in parametric space of FACE
4922 TChainLink& linkOnFace = *(++chain.begin());
4923 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
4924 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
4925 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
4927 face = TopoDS::Face( f );
4928 faceHlp.SetSubShape( face );
4929 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
4931 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
4933 TChainLink& link = is1 ? chain.back() : chain.front();
4934 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
4935 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
4936 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
4937 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4938 // uvMove = uvm - uv12
4939 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
4940 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
4941 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
4942 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
4943 isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
4944 10 * uvMove.SquareModulus());
4946 if ( isStraight[0] && isStraight[1] ) {
4947 MSG("2D straight - ignore");
4948 continue; // straight - no need to move nodes of internal links
4951 // check if a chain is already fixed
4952 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
4953 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
4954 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
4955 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
4956 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
4958 MSG("Already fixed - ignore");
4964 if ( isInside || face.IsNull() )
4966 // compute node displacement of end links in their local coord systems
4968 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
4969 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
4970 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4971 move0.Transform(trsf);
4974 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
4975 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
4976 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
4977 move1.Transform(trsf);
4980 // compute displacement of medium nodes
4981 link2 = chain.begin();
4984 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
4986 double r = linkPos[i] / chainLen;
4987 // displacement in local coord system
4988 gp_Vec move = (1. - r) * move0 + r * move1;
4989 if ( isInside || face.IsNull()) {
4990 // transform to global
4991 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
4992 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
4994 gp_Vec x = x01.Normalized() + x12.Normalized();
4995 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
4996 } catch ( Standard_Failure ) {
4999 move.Transform(trsf);
5000 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5003 // compute 3D displacement by 2D one
5004 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5005 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5006 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5007 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5008 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5009 if ( SMDS_FacePosition* nPos =
5010 dynamic_cast< SMDS_FacePosition* >((*link1)->_mediumNode->GetPosition()))
5011 nPos->SetParameters( newUV.X(), newUV.Y() );
5013 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5014 move.SquareMagnitude())
5016 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5017 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5018 MSG( "TOO LONG MOVE \t" <<
5019 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5020 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5021 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5022 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5025 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5027 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5028 << chain.front()->_mediumNode->GetID() <<"-"
5029 << chain.back ()->_mediumNode->GetID() <<
5030 " by " << move.Magnitude());
5032 } // loop on chains of links
5033 } // loop on 2 directions of propagation from quadrangle
5035 } // fix faces and/or volumes
5040 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa;
5041 const SMDS_MeshElement *biQuadQua, *triQuadHex;
5042 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5043 myMesh->NbBiQuadTriangles() +
5044 myMesh->NbTriQuadraticHexas() );
5046 faceHlp.ToFixNodeParameters( true );
5048 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5049 if ( pLink->IsMoved() )
5051 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5053 // put on surface nodes on FACE but moved in 3D (23050)
5054 if ( !pLink->IsFixedOnSurface() )
5056 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5057 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5059 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5060 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5061 gp_XY uv( Precision::Infinite(), 0 );
5062 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5063 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5064 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5067 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5069 // collect bi-quadratic elements
5070 if ( toFixCentralNodes )
5072 biQuadQua = triQuadHex = 0;
5073 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5074 while ( eIt->more() )
5076 const SMDS_MeshElement* e = eIt->next();
5077 switch( e->GetEntityType() ) {
5078 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5079 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5080 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5087 // Fix positions of central nodes of bi-tri-quadratic elements
5089 // treat bi-quad quadrangles
5091 vector< const SMDS_MeshNode* > nodes( 9 );
5093 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5094 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5096 const SMDS_MeshElement* quad = *quadIt;
5099 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5101 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5102 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5103 const TopoDS_Face& F = TopoDS::Face( S );
5104 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5105 const double tol = BRep_Tool::Tolerance( F );
5107 for ( int i = 0; i < 8; ++i )
5109 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5110 // as this method is used after mesh generation, UV of nodes is not
5111 // updated according to bending links, so we update
5112 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5113 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5115 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5116 // move the central node
5117 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5118 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5119 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5123 // treat bi-quad triangles
5125 vector< const SMDS_MeshNode* > nodes;
5127 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5128 for ( ; triIt != biQuadTris.end(); ++triIt )
5130 const SMDS_MeshElement* tria = *triIt;
5132 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5133 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5134 const TopoDS_Face& F = TopoDS::Face( S );
5135 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5136 const double tol = BRep_Tool::Tolerance( F );
5139 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5141 bool uvOK = true, badTria = false;
5142 for ( int i = 0; i < 6; ++i )
5144 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5145 // as this method is used after mesh generation, UV of nodes is not
5146 // updated according to bending links, so we update
5147 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5148 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5151 // move the central node
5153 if ( !uvOK || badTria )
5155 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5156 SMESH_TNodeXYZ( nodes[4] ) +
5157 SMESH_TNodeXYZ( nodes[5] )) / 3;
5161 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5162 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5163 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5165 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5169 // treat tri-quadratic hexahedra
5171 SMDS_VolumeTool volExp;
5172 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5173 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5175 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5177 // fix nodes central in sides
5178 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5180 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5181 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5183 gp_XYZ p = calcTFI( 0.5, 0.5,
5184 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5185 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5186 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5187 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5188 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5192 // fix the volume central node
5193 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5194 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5196 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5197 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5198 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5199 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5200 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5201 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5202 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5203 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5205 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5206 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5207 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5208 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5209 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5210 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5211 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5212 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5213 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5214 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5215 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5216 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5218 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5219 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5220 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5221 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5222 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5223 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5225 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5226 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5227 GetMeshDS()->MoveNode( hexNodes[26],
5228 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());