1 // Copyright (C) 2007-2022 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.cxx
24 // Created: 15.02.06 15:22:41
25 // Author: Sergey KUUL
27 #include "SMESH_MesherHelper.hxx"
29 #include "SMDS_EdgePosition.hxx"
30 #include "SMDS_FaceOfNodes.hxx"
31 #include "SMDS_FacePosition.hxx"
32 #include "SMDS_IteratorOnIterators.hxx"
33 #include "SMDS_VolumeTool.hxx"
34 #include "SMESHDS_Mesh.hxx"
35 #include "SMESH_Block.hxx"
36 #include "SMESH_HypoFilter.hxx"
37 #include "SMESH_Mesh.hxx"
38 #include "SMESH_MeshAlgos.hxx"
39 #include "SMESH_MeshEditor.hxx"
40 #include "SMESH_ProxyMesh.hxx"
41 #include "SMESH_subMesh.hxx"
43 #include <BRepAdaptor_Curve.hxx>
44 #include <BRepAdaptor_Surface.hxx>
45 #include <BRepTools.hxx>
46 #include <BRep_Tool.hxx>
47 #include <Geom2d_Curve.hxx>
48 #include <GeomAPI_ProjectPointOnCurve.hxx>
49 #include <GeomAPI_ProjectPointOnSurf.hxx>
50 #include <Geom_Curve.hxx>
51 #include <Geom_RectangularTrimmedSurface.hxx>
52 #include <Geom_Surface.hxx>
53 #include <ShapeAnalysis.hxx>
54 #include <ShapeAnalysis_Curve.hxx>
56 #include <TopExp_Explorer.hxx>
57 #include <TopTools_ListIteratorOfListOfShape.hxx>
58 #include <TopTools_MapIteratorOfMapOfShape.hxx>
59 #include <TopTools_MapOfShape.hxx>
62 #include <gp_Pnt2d.hxx>
63 #include <gp_Trsf.hxx>
65 #include <Standard_Failure.hxx>
66 #include <Standard_ErrorHandler.hxx>
68 #include <utilities.h>
74 #define RETURN_BAD_RESULT(msg) { MESSAGE(msg); return false; }
78 inline SMESH_NodeXYZ XYZ(const SMDS_MeshNode* n) { return SMESH_NodeXYZ(n); }
80 enum { U_periodic = 1, V_periodic = 2 };
83 //================================================================================
87 //================================================================================
89 SMESH_MesherHelper::SMESH_MesherHelper(SMESH_Mesh& theMesh)
93 myCreateQuadratic(false),
94 myCreateBiQuadratic(false),
95 myFixNodeParameters(false)
97 myPar1[0] = myPar2[0] = myPar1[1] = myPar2[1] = 0;
98 mySetElemOnShape = ( ! myMesh->HasShapeToMesh() );
101 //=======================================================================
102 //function : ~SMESH_MesherHelper
104 //=======================================================================
106 SMESH_MesherHelper::~SMESH_MesherHelper()
109 TID2ProjectorOnSurf::iterator i_proj = myFace2Projector.begin();
110 for ( ; i_proj != myFace2Projector.end(); ++i_proj )
111 delete i_proj->second;
114 TID2ProjectorOnCurve::iterator i_proj = myEdge2Projector.begin();
115 for ( ; i_proj != myEdge2Projector.end(); ++i_proj )
116 delete i_proj->second;
120 //================================================================================
122 * \brief Return SMESH_Gen
124 //================================================================================
126 SMESH_Gen* SMESH_MesherHelper::GetGen() const
128 return GetMesh()->GetGen();
131 //================================================================================
133 * \brief Return mesh DS
135 //================================================================================
137 SMESHDS_Mesh* SMESH_MesherHelper::GetMeshDS() const
139 return GetMesh()->GetMeshDS();
142 //=======================================================================
143 //function : IsQuadraticSubMesh
144 //purpose : Check sub-meshes of a given shape: if all elements on sub-shapes
145 // are quadratic, quadratic elements will be created.
146 // Fill myTLinkNodeMap
147 //=======================================================================
149 bool SMESH_MesherHelper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
151 SMESHDS_Mesh* meshDS = GetMeshDS();
152 // we can create quadratic elements only if all elements
153 // created on sub-shapes of given shape are quadratic
154 myCreateQuadratic = true;
155 TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
156 if ( aSh.ShapeType()==TopAbs_COMPOUND )
158 TopoDS_Iterator subIt( aSh );
160 subType = ( subIt.Value().ShapeType()==TopAbs_FACE ) ? TopAbs_EDGE : TopAbs_FACE;
162 SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
164 if ( !myMesh->HasShapeToMesh() )
166 if (( myCreateQuadratic = myMesh->NbFaces( ORDER_QUADRATIC )))
168 SMDS_FaceIteratorPtr fIt = meshDS->facesIterator();
169 while ( fIt->more() )
170 AddTLinks( static_cast< const SMDS_MeshFace* >( fIt->next() ));
175 TopExp_Explorer exp( aSh, subType );
176 TopTools_MapOfShape checkedSubShapes;
177 for (; exp.More() && myCreateQuadratic; exp.Next()) {
178 if ( !checkedSubShapes.Add( exp.Current() ))
179 continue; // needed if aSh is compound of solids
180 if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
181 if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
183 const SMDS_MeshElement* e = it->next();
184 if ( e->GetType() != elemType || !e->IsQuadratic() ) {
185 myCreateQuadratic = false;
190 switch ( e->NbCornerNodes() ) {
192 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
194 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
195 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
196 AddTLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
198 AddTLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
199 AddTLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
200 AddTLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
201 AddTLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
204 myCreateQuadratic = false;
214 // if ( nbOldLinks == myTLinkNodeMap.size() ) -- 0023068
215 if ( myTLinkNodeMap.empty() )
216 myCreateQuadratic = false;
218 if ( !myCreateQuadratic )
219 myTLinkNodeMap.clear();
223 return myCreateQuadratic;
226 //=======================================================================
227 //function : SetSubShape
228 //purpose : Set geometry to make elements on
229 //=======================================================================
231 void SMESH_MesherHelper::SetSubShape(const int aShID)
233 if ( aShID == myShapeID )
236 SetSubShape( GetMeshDS()->IndexToShape( aShID ));
238 SetSubShape( TopoDS_Shape() );
241 //=======================================================================
242 //function : SetSubShape
243 //purpose : Set geometry to create elements on
244 //=======================================================================
246 void SMESH_MesherHelper::SetSubShape(const TopoDS_Shape& aSh)
248 if ( myShape.IsSame( aSh ))
252 mySeamShapeIds.clear();
253 myDegenShapeIds.clear();
255 if ( myShape.IsNull() ) {
259 SMESHDS_Mesh* meshDS = GetMeshDS();
260 myShapeID = meshDS->ShapeToIndex(aSh);
263 // treatment of periodic faces
264 for ( TopExp_Explorer eF( aSh, TopAbs_FACE ); eF.More(); eF.Next() )
266 const TopoDS_Face& face = TopoDS::Face( eF.Current() );
267 BRepAdaptor_Surface surf( face, false );
268 if ( surf.IsUPeriodic() || surf.IsUClosed() ) {
269 myParIndex |= U_periodic;
270 myPar1[0] = surf.FirstUParameter();
271 myPar2[0] = surf.LastUParameter();
273 if ( surf.IsVPeriodic() || surf.IsVClosed() ) {
274 myParIndex |= V_periodic;
275 myPar1[1] = surf.FirstVParameter();
276 myPar2[1] = surf.LastVParameter();
280 for (TopExp_Explorer exp( face, TopAbs_EDGE ); exp.More(); exp.Next())
282 // look for a "seam" edge, a real seam or an edge on period boundary
283 TopoDS_Edge edge = TopoDS::Edge( exp.Current() );
284 const int edgeID = meshDS->ShapeToIndex( edge );
287 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
288 const double du = Abs( uv1.Coord(1) - uv2.Coord(1) );
289 const double dv = Abs( uv1.Coord(2) - uv2.Coord(2) );
291 bool isSeam = BRep_Tool::IsClosed( edge, face );
292 if ( isSeam ) // real seam - having two pcurves on face
294 // pcurve can lie not on pediod boundary (22582, mesh_Quadratic_01/C9)
297 double u1 = uv1.Coord(1);
299 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
300 double u2 = uv1.Coord(1);
301 myPar1[0] = Min( u1, u2 );
302 myPar2[0] = Max( u1, u2 );
303 myParIndex |= U_periodic;
307 double v1 = uv1.Coord(2);
309 BRep_Tool::UVPoints( edge, face, uv1, uv2 );
310 double v2 = uv1.Coord(2);
311 myPar1[1] = Min( v1, v2 );
312 myPar2[1] = Max( v1, v2 );
313 myParIndex |= V_periodic;
316 else //if ( !isSeam )
318 // one pcurve but on period boundary (22772, mesh_Quadratic_01/D1)
319 if (( myParIndex & U_periodic ) && du < Precision::PConfusion() )
321 isSeam = ( Abs( uv1.Coord(1) - myPar1[0] ) < Precision::PConfusion() ||
322 Abs( uv1.Coord(1) - myPar2[0] ) < Precision::PConfusion() );
324 else if (( myParIndex & V_periodic ) && dv < Precision::PConfusion() )
326 isSeam = ( Abs( uv1.Coord(2) - myPar1[1] ) < Precision::PConfusion() ||
327 Abs( uv1.Coord(2) - myPar2[1] ) < Precision::PConfusion() );
329 if ( isSeam ) // vertices are on period boundary, check a middle point (23032)
331 double f,l, r = 0.2345;
332 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( edge, face, f, l );
339 uv2 = C2d->Value( f * r + l * ( 1.-r ));
340 if ( du < Precision::PConfusion() )
341 isSeam = ( Abs( uv1.Coord(1) - uv2.Coord(1) ) < Precision::PConfusion() );
343 isSeam = ( Abs( uv1.Coord(2) - uv2.Coord(2) ) < Precision::PConfusion() );
349 // store seam shape indices, negative if shape encounters twice ('real seam')
350 mySeamShapeIds.insert( IsSeamShape( edgeID ) ? -edgeID : edgeID );
351 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() ) {
352 int vertexID = meshDS->ShapeToIndex( v.Current() );
353 mySeamShapeIds.insert( IsSeamShape( vertexID ) ? -vertexID : vertexID );
357 // look for a degenerated edge
358 if ( SMESH_Algo::isDegenerated( edge )) {
359 myDegenShapeIds.insert( edgeID );
360 for ( TopExp_Explorer v( edge, TopAbs_VERTEX ); v.More(); v.Next() )
361 myDegenShapeIds.insert( meshDS->ShapeToIndex( v.Current() ));
363 if ( !BRep_Tool::SameParameter( edge ) ||
364 !BRep_Tool::SameRange( edge ))
366 setPosOnShapeValidity( edgeID, false );
372 //=======================================================================
374 * \brief Copy shape information from another helper. Used to improve performance
375 * since SetSubShape() can be time consuming if there are many edges
377 //=======================================================================
379 void SMESH_MesherHelper::CopySubShapeInfo(const SMESH_MesherHelper& other)
381 this->myShape = other.myShape;
382 this->myShapeID = other.myShapeID;
383 this->myDegenShapeIds = other.myDegenShapeIds;
384 this->mySeamShapeIds = other.mySeamShapeIds;
385 this->myPar1[0] = other.myPar1[0];
386 this->myPar1[1] = other.myPar1[1];
387 this->myPar2[0] = other.myPar2[0];
388 this->myPar2[1] = other.myPar2[1];
389 this->myParIndex = other.myParIndex;
390 this->myFace2Surface = other.myFace2Surface;
393 //=======================================================================
394 //function : ShapeToIndex
395 //purpose : Convert a shape to its index in the SMESHDS_Mesh
396 //=======================================================================
398 int SMESH_MesherHelper::ShapeToIndex( const TopoDS_Shape& S ) const
400 return GetMeshDS()->ShapeToIndex( S );
403 //=======================================================================
404 //function : GetNodeUVneedInFaceNode
405 //purpose : Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
406 // Return true if the face is periodic.
407 // If F is Null, answer about sub-shape set through IsQuadraticSubMesh() or
409 //=======================================================================
411 bool SMESH_MesherHelper::GetNodeUVneedInFaceNode(const TopoDS_Face& F) const
413 if ( F.IsNull() ) return !mySeamShapeIds.empty();
415 if ( !F.IsNull() && !myShape.IsNull() && myShape.IsSame( F ))
416 return !mySeamShapeIds.empty();
419 Handle(Geom_Surface) aSurface = BRep_Tool::Surface( F,loc );
420 if ( !aSurface.IsNull() )
421 return ( aSurface->IsUPeriodic() || aSurface->IsVPeriodic() );
426 //=======================================================================
427 //function : IsMedium
429 //=======================================================================
431 bool SMESH_MesherHelper::IsMedium(const SMDS_MeshNode* node,
432 const SMDSAbs_ElementType typeToCheck)
434 return SMESH_MeshEditor::IsMedium( node, typeToCheck );
437 //=======================================================================
438 //function : GetSubShapeByNode
439 //purpose : Return support shape of a node
440 //=======================================================================
442 TopoDS_Shape SMESH_MesherHelper::GetSubShapeByNode(const SMDS_MeshNode* node,
443 const SMESHDS_Mesh* meshDS)
445 int shapeID = node ? node->getshapeId() : 0;
446 if ( 0 < shapeID && shapeID <= meshDS->MaxShapeIndex() )
447 return meshDS->IndexToShape( shapeID );
449 return TopoDS_Shape();
453 //=======================================================================
454 //function : AddTLinkNode
455 //purpose : add a link in my data structure
456 //=======================================================================
458 void SMESH_MesherHelper::AddTLinkNode(const SMDS_MeshNode* n1,
459 const SMDS_MeshNode* n2,
460 const SMDS_MeshNode* n12)
462 // add new record to map
463 SMESH_TLink link( n1, n2 );
464 myTLinkNodeMap.insert( make_pair(link,n12));
467 //================================================================================
469 * \brief Add quadratic links of edge to own data structure
471 //================================================================================
473 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshEdge* edge)
475 if ( edge && edge->IsQuadratic() )
476 AddTLinkNode(edge->GetNode(0), edge->GetNode(1), edge->GetNode(2));
482 //================================================================================
484 * \brief Add quadratic links of face to own data structure
486 //================================================================================
488 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshFace* f)
492 switch ( f->NbNodes() ) {
494 // myMapWithCentralNode.insert
495 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2) ),
497 // break; -- add medium nodes as well
499 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(3));
500 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(4));
501 AddTLinkNode(f->GetNode(2),f->GetNode(0),f->GetNode(5)); break;
504 // myMapWithCentralNode.insert
505 // ( make_pair( TBiQuad( f->GetNode(0),f->GetNode(1),f->GetNode(2),f->GetNode(3) ),
507 // break; -- add medium nodes as well
509 AddTLinkNode(f->GetNode(0),f->GetNode(1),f->GetNode(4));
510 AddTLinkNode(f->GetNode(1),f->GetNode(2),f->GetNode(5));
511 AddTLinkNode(f->GetNode(2),f->GetNode(3),f->GetNode(6));
512 AddTLinkNode(f->GetNode(3),f->GetNode(0),f->GetNode(7)); break;
519 //================================================================================
521 * \brief Add quadratic links of volume to own data structure
523 //================================================================================
525 bool SMESH_MesherHelper::AddTLinks(const SMDS_MeshVolume* volume)
527 if ( volume->IsQuadratic() )
529 SMDS_VolumeTool vTool( volume );
530 const SMDS_MeshNode** nodes = vTool.GetNodes();
532 for ( int iF = 1; iF < vTool.NbFaces(); ++iF )
534 const int nbN = vTool.NbFaceNodes( iF );
535 const int* iNodes = vTool.GetFaceNodesIndices( iF );
536 for ( int i = 0; i < nbN; )
538 int iN1 = iNodes[i++];
539 int iN12 = iNodes[i++];
541 if ( iN1 > iN2 ) std::swap( iN1, iN2 );
542 int linkID = iN1 * vTool.NbNodes() + iN2;
543 pair< set<int>::iterator, bool > it_isNew = addedLinks.insert( linkID );
544 if ( it_isNew.second )
545 AddTLinkNode( nodes[iN1], nodes[iN2], nodes[iN12] );
547 addedLinks.erase( it_isNew.first ); // each link encounters only twice
549 if ( vTool.NbNodes() == 27 )
551 const SMDS_MeshNode* nFCenter = nodes[ vTool.GetCenterNodeIndex( iF )];
552 if ( nFCenter->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
553 myMapWithCentralNode.insert
554 ( make_pair( TBiQuad( nodes[ iNodes[0]], nodes[ iNodes[1]],
555 nodes[ iNodes[2]], nodes[ iNodes[3]] ),
564 //================================================================================
566 * \brief Return true if position of nodes on the shape hasn't yet been checked or
567 * the positions proved to be invalid
569 //================================================================================
571 bool SMESH_MesherHelper::toCheckPosOnShape(int shapeID ) const
573 map< int,bool >::const_iterator id_ok = myNodePosShapesValidity.find( shapeID );
574 return ( id_ok == myNodePosShapesValidity.end() || !id_ok->second );
577 //================================================================================
579 * \brief Set validity of positions of nodes on the shape.
580 * Once set, validity is not changed
582 //================================================================================
584 void SMESH_MesherHelper::setPosOnShapeValidity(int shapeID, bool ok ) const
586 std::map< int,bool >::iterator sh_ok =
587 ((SMESH_MesherHelper*)this)->myNodePosShapesValidity.insert( make_pair( shapeID, ok)).first;
592 //=======================================================================
593 //function : ToFixNodeParameters
594 //purpose : Enables fixing node parameters on EDGEs and FACEs in
595 // GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
596 // CheckNodeU() in case if a node lies on a shape set via SetSubShape().
598 //=======================================================================
600 void SMESH_MesherHelper::ToFixNodeParameters(bool toFix)
602 myFixNodeParameters = toFix;
606 //=======================================================================
607 //function : getUVOnSeam
608 //purpose : Select UV on either of 2 pcurves of a seam edge, closest to the given UV
609 //=======================================================================
611 gp_Pnt2d SMESH_MesherHelper::getUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const
613 gp_Pnt2d result = uv1;
614 for ( int i = U_periodic; i <= V_periodic ; ++i )
616 if ( myParIndex & i )
618 double p1 = uv1.Coord( i );
619 double dp1 = Abs( p1-myPar1[i-1]), dp2 = Abs( p1-myPar2[i-1]);
620 if ( myParIndex == i ||
621 dp1 < ( myPar2[i-1] - myPar1[i-1] ) / 100. ||
622 dp2 < ( myPar2[i-1] - myPar1[i-1] ) / 100. )
624 double p2 = uv2.Coord( i );
625 double p1Alt = ( dp1 < dp2 ) ? myPar2[i-1] : myPar1[i-1];
626 if ( Abs( p2 - p1 ) > Abs( p2 - p1Alt ))
627 result.SetCoord( i, p1Alt );
634 //=======================================================================
635 //function : GetNodeUV
636 //purpose : Return node UV on face
637 //=======================================================================
639 gp_XY SMESH_MesherHelper::GetNodeUV(const TopoDS_Face& F,
640 const SMDS_MeshNode* n,
641 const SMDS_MeshNode* n2,
644 gp_Pnt2d uv( Precision::Infinite(), Precision::Infinite() );
646 SMDS_PositionPtr pos = n->GetPosition();
648 if ( pos->GetTypeOfPosition() == SMDS_TOP_FACE )
650 // node has position on face
651 SMDS_FacePositionPtr fpos = pos;
652 uv.SetCoord( fpos->GetUParameter(), fpos->GetVParameter() );
654 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F )); // 2. from 22830
656 else if ( pos->GetTypeOfPosition() == SMDS_TOP_EDGE )
658 // node has position on EDGE => it is needed to find
659 // corresponding EDGE from FACE, get pcurve for this
660 // EDGE and retrieve value from this pcurve
661 SMDS_EdgePositionPtr epos = pos;
662 const int edgeID = n->getshapeId();
663 const TopoDS_Edge& E = TopoDS::Edge( GetMeshDS()->IndexToShape( edgeID ));
664 double f, l, u = epos->GetUParameter();
665 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface( E, F, f, l );
666 bool validU = ( !C2d.IsNull() && ( f < u ) && ( u < l ));
667 if ( validU ) uv = C2d->Value( u );
668 else uv.SetCoord( Precision::Infinite(),0.);
669 if ( check || !validU )
670 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ),/*force=*/ !validU );
672 // for a node on a seam EDGE select one of UVs on 2 pcurves
673 if ( n2 && IsSeamShape( edgeID ))
675 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0, check ));
678 { // adjust uv to period
680 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
681 Standard_Boolean isUPeriodic = S->IsUPeriodic();
682 Standard_Boolean isVPeriodic = S->IsVPeriodic();
684 if ( isUPeriodic || isVPeriodic ) {
685 Standard_Real UF,UL,VF,VL;
686 S->Bounds(UF,UL,VF,VL);
687 if ( isUPeriodic ) newUV.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod(uv.X(),UF,UL));
688 if ( isVPeriodic ) newUV.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod(uv.Y(),VF,VL));
692 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0, check );
693 if ( isUPeriodic && Abs( uv.X()-uv2.X() ) < Abs( newUV.X()-uv2.X() ))
694 newUV.SetX( uv.X() );
695 if ( isVPeriodic && Abs( uv.Y()-uv2.Y() ) < Abs( newUV.Y()-uv2.Y() ))
696 newUV.SetY( uv.Y() );
702 else if ( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
704 if ( int vertexID = n->getshapeId() ) {
705 const TopoDS_Vertex& V = TopoDS::Vertex(GetMeshDS()->IndexToShape(vertexID));
707 uv = BRep_Tool::Parameters( V, F );
710 catch (Standard_Failure& exc) {
714 if ( !IsSubShape( V, F ))
716 MESSAGE("GetNodeUV() Vertex "<< vertexID <<" not in face "<< GetMeshDS()->ShapeToIndex(F));
717 // get UV of a vertex closest to the node
719 gp_Pnt pn = XYZ( n );
720 for ( TopExp_Explorer vert( F,TopAbs_VERTEX ); !uvOK && vert.More(); vert.Next() ) {
721 TopoDS_Vertex curV = TopoDS::Vertex( vert.Current() );
722 gp_Pnt p = BRep_Tool::Pnt( curV );
723 double curDist = p.SquareDistance( pn );
724 if ( curDist < dist ) {
726 uv = BRep_Tool::Parameters( curV, F );
727 uvOK = ( dist < DBL_MIN );
734 TopTools_ListIteratorOfListOfShape it( myMesh->GetAncestors( V ));
735 for ( ; it.More(); it.Next() ) {
736 if ( it.Value().ShapeType() == TopAbs_EDGE ) {
737 const TopoDS_Edge & edge = TopoDS::Edge( it.Value() );
739 Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(edge, F, f, l);
740 if ( !C2d.IsNull() ) {
741 double u = ( V == IthVertex( 0, edge )) ? f : l;
742 uv = C2d->Value( u );
743 gp_Pnt p = GetSurface( F )->Value( uv );
744 uvOK = ( p.Distance( BRep_Tool::Pnt( V )) < getFaceMaxTol( F ));
749 if ( !uvOK && V.Orientation() == TopAbs_INTERNAL )
751 Handle(ShapeAnalysis_Surface) projector = GetSurface( F );
752 if ( n2 ) uv = GetNodeUV( F, n2 );
753 if ( Precision::IsInfinite( uv.X() ))
754 uv = projector->NextValueOfUV( uv, BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
756 uv = projector->ValueOfUV( BRep_Tool::Pnt( V ), BRep_Tool::Tolerance( F ));
757 uvOK = ( projector->Gap() < getFaceMaxTol( F ));
761 if ( n2 && IsSeamShape( vertexID ))
763 bool isSeam = ( myShape.IsSame( F ));
765 SMESH_MesherHelper h( *myMesh );
767 isSeam = IsSeamShape( vertexID );
771 uv = getUVOnSeam( uv, GetNodeUV( F, n2, 0 ));
773 else if ( myParIndex && n2 )
776 gp_Pnt2d uv2 = GetNodeUV( F, n2, 0 );
777 if ( myParIndex & 1 )
778 uv.SetX( uv.X() + ShapeAnalysis::AdjustToPeriod( uv.X(), myPar1[0], myPar2[0]));
779 if ( myParIndex & 2 )
780 uv.SetY( uv.Y() + ShapeAnalysis::AdjustToPeriod( uv.Y(), myPar1[1], myPar2[1]));
781 if ( uv.SquareDistance( uv2 ) > oldUV.SquareDistance( uv2 ))
788 uvOK = CheckNodeUV( F, n, uv.ChangeCoord(), 2.*getFaceMaxTol( F ));
791 if ( check && !uvOK )
797 //=======================================================================
798 //function : CheckNodeUV
799 //purpose : Check and fix node UV on a face
800 //=======================================================================
802 bool SMESH_MesherHelper::CheckNodeUV(const TopoDS_Face& F,
803 const SMDS_MeshNode* n,
807 double distXYZ[4]) const
809 int shapeID = n->getshapeId();
811 if (( infinit = ( Precision::IsInfinite( uv.X() ) || Precision::IsInfinite( uv.Y() ))) ||
813 ( uv.X() == 0. && uv.Y() == 0. ) ||
814 ( toCheckPosOnShape( shapeID )))
816 // check that uv is correct
818 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
819 SMESH_NodeXYZ nXYZ( n );
820 gp_Pnt nodePnt = nXYZ, surfPnt(0,0,0);
822 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
824 (dist = nodePnt.Distance( surfPnt = surface->Value( uv.X(), uv.Y() ))) > tol )
826 setPosOnShapeValidity( shapeID, false );
827 // uv incorrect, project the node to surface
828 Handle(ShapeAnalysis_Surface) sprojector = GetSurface( F );
829 uv = sprojector->ValueOfUV( nXYZ, tol ).XY();
830 surfPnt = sprojector->Value( uv );
831 dist = surfPnt.Distance( nXYZ );
834 distXYZ[1] = surfPnt.X(); distXYZ[2] = surfPnt.Y(); distXYZ[3]=surfPnt.Z();
838 MESSAGE( "SMESH_MesherHelper::CheckNodeUV(), invalid projection" );
841 // store the fixed UV on the face
842 if ( myShape.IsSame(F) && shapeID == myShapeID && myFixNodeParameters )
843 const_cast<SMDS_MeshNode*>(n)->SetPosition
844 ( SMDS_PositionPtr( new SMDS_FacePosition( uv.X(), uv.Y() )));
846 else if ( myShape.IsSame(F) && uv.Modulus() > numeric_limits<double>::min() )
848 setPosOnShapeValidity( shapeID, true );
854 //=======================================================================
855 //function : GetProjector
856 //purpose : Return projector initialized by given face without location, which is returned
857 //=======================================================================
859 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
860 TopLoc_Location& loc,
863 Handle(Geom_Surface) surface = BRep_Tool::Surface( F,loc );
864 int faceID = GetMeshDS()->ShapeToIndex( F );
865 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
866 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
867 if ( i_proj == i2proj.end() )
869 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
870 double U1, U2, V1, V2;
871 surface->Bounds(U1, U2, V1, V2);
872 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
873 proj->Init( surface, U1, U2, V1, V2, tol );
874 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
876 return *( i_proj->second );
879 //=======================================================================
880 //function : GetProjector
881 //purpose : Return projector initialized by given face, which is returned
882 //=======================================================================
884 GeomAPI_ProjectPointOnSurf& SMESH_MesherHelper::GetProjector(const TopoDS_Face& F,
887 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
888 int faceID = GetMeshDS()->ShapeToIndex( F );
889 TID2ProjectorOnSurf& i2proj = const_cast< TID2ProjectorOnSurf&>( myFace2Projector );
890 TID2ProjectorOnSurf::iterator i_proj = i2proj.find( faceID );
891 if ( i_proj == i2proj.end() )
893 if ( tol == 0 ) tol = BRep_Tool::Tolerance( F );
894 double U1, U2, V1, V2;
895 surface->Bounds(U1, U2, V1, V2);
896 GeomAPI_ProjectPointOnSurf* proj = new GeomAPI_ProjectPointOnSurf();
897 proj->Init( surface, U1, U2, V1, V2, tol );
898 i_proj = i2proj.insert( make_pair( faceID, proj )).first;
900 return *( i_proj->second );
903 //=======================================================================
904 //function : GetPCProjector
905 //purpose : Return projector initialized by given EDGE
906 //=======================================================================
908 GeomAPI_ProjectPointOnCurve& SMESH_MesherHelper::GetPCProjector(const TopoDS_Edge& E ) const
910 int edgeID = GetMeshDS()->ShapeToIndex( E );
911 TID2ProjectorOnCurve& i2proj = const_cast< TID2ProjectorOnCurve&>( myEdge2Projector );
912 TID2ProjectorOnCurve::iterator i_proj = i2proj.insert( make_pair( edgeID, nullptr )).first;
913 if ( !i_proj->second )
916 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,f,l );
917 i_proj->second = new GeomAPI_ProjectPointOnCurve();
918 i_proj->second->Init( curve, f, l );
920 GeomAPI_ProjectPointOnCurve* projector = i_proj->second;
924 //=======================================================================
925 //function : GetSurface
926 //purpose : Return a cached ShapeAnalysis_Surface of a FACE
927 //=======================================================================
929 Handle(ShapeAnalysis_Surface) SMESH_MesherHelper::GetSurface(const TopoDS_Face& F ) const
931 Handle(Geom_Surface) surface = BRep_Tool::Surface( F );
932 int faceID = GetMeshDS()->ShapeToIndex( F );
933 TID2Surface::iterator i_surf = myFace2Surface.find( faceID );
934 if ( i_surf == myFace2Surface.end() && faceID )
936 Handle(ShapeAnalysis_Surface) surf( new ShapeAnalysis_Surface( surface ));
937 i_surf = myFace2Surface.insert( make_pair( faceID, surf )).first;
939 return i_surf->second;
944 gp_XY AverageUV(const gp_XY& uv1, const gp_XY& uv2) { return ( uv1 + uv2 ) / 2.; }
945 gp_XY_FunPtr(Added); // define gp_XY_Added pointer to function calling gp_XY::Added(gp_XY)
946 gp_XY_FunPtr(Subtracted);
949 //=======================================================================
950 //function : ApplyIn2D
951 //purpose : Perform given operation on two 2d points in parameric space of given surface.
952 // It takes into account period of the surface. Use gp_XY_FunPtr macro
953 // to easily define pointer to function of gp_XY class.
954 //=======================================================================
956 gp_XY SMESH_MesherHelper::ApplyIn2D(Handle(Geom_Surface) surface,
960 const bool resultInPeriod)
962 if ( surface->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
963 surface = Handle(Geom_RectangularTrimmedSurface)::DownCast( surface )->BasisSurface();
964 Standard_Boolean isUPeriodic = surface.IsNull() ? false : surface->IsUPeriodic();
965 Standard_Boolean isVPeriodic = surface.IsNull() ? false : surface->IsVPeriodic();
966 if ( !isUPeriodic && !isVPeriodic )
969 // move uv2 not far than half-period from uv1
971 uv2.X()+(isUPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.X(),uv1.X(),surface->UPeriod()) :0);
973 uv2.Y()+(isVPeriodic ? ShapeAnalysis::AdjustByPeriod(uv2.Y(),uv1.Y(),surface->VPeriod()) :0);
976 gp_XY res = fun( uv1, gp_XY(u2,v2) );
978 // move result within period
979 if ( resultInPeriod )
981 Standard_Real UF,UL,VF,VL;
982 surface->Bounds(UF,UL,VF,VL);
984 res.SetX( res.X() + ShapeAnalysis::AdjustToPeriod(res.X(),UF,UL));
986 res.SetY( res.Y() + ShapeAnalysis::AdjustToPeriod(res.Y(),VF,VL));
992 //=======================================================================
993 //function : AdjustByPeriod
994 //purpose : Move node positions on a FACE within surface period
995 //=======================================================================
997 void SMESH_MesherHelper::AdjustByPeriod( const TopoDS_Face& face, gp_XY uv[], const int nbUV )
999 SMESH_MesherHelper h( *myMesh ), *ph = face.IsSame( myShape ) ? this : &h;
1000 ph->SetSubShape( face );
1002 for ( int iCoo = U_periodic; iCoo <= V_periodic; ++iCoo )
1003 if ( ph->GetPeriodicIndex() & iCoo )
1005 const double period = ( ph->myPar2[iCoo-1] - ph->myPar1[iCoo-1] );
1006 const double xRef = uv[0].Coord( iCoo );
1007 for ( int i = 1; i < nbUV; ++i )
1009 double x = uv[i].Coord( iCoo );
1010 double dx = ShapeAnalysis::AdjustByPeriod( x, xRef, period );
1011 uv[i].SetCoord( iCoo, x + dx );
1016 //=======================================================================
1017 //function : GetMiddleUV
1018 //purpose : Return middle UV taking in account surface period
1019 //=======================================================================
1021 gp_XY SMESH_MesherHelper::GetMiddleUV(const Handle(Geom_Surface)& surface,
1026 // the proper place of getting basic surface seems to be in ApplyIn2D()
1027 // but we put it here to decrease a risk of regressions just before releasing a version
1028 // Handle(Geom_Surface) surf = surface;
1029 // while ( !surf.IsNull() && surf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface )))
1030 // surf = Handle(Geom_RectangularTrimmedSurface)::DownCast( surf )->BasisSurface();
1032 return ApplyIn2D( surface, p1, p2, & AverageUV );
1035 //=======================================================================
1036 //function : GetCenterUV
1037 //purpose : Return UV for the central node of a biquadratic triangle
1038 //=======================================================================
1040 gp_XY SMESH_MesherHelper::GetCenterUV(const gp_XY& uv1,
1046 bool * isBadTria/*=0*/)
1049 gp_XY uvAvg = ( uv12 + uv23 + uv31 ) / 3.;
1051 if (( badTria = (( uvAvg - uv1 ) * ( uvAvg - uv23 ) > 0 )))
1052 uvAvg = ( uv1 + uv23 ) / 2.;
1053 else if (( badTria = (( uvAvg - uv2 ) * ( uvAvg - uv31 ) > 0 )))
1054 uvAvg = ( uv2 + uv31 ) / 2.;
1055 else if (( badTria = (( uvAvg - uv3 ) * ( uvAvg - uv12 ) > 0 )))
1056 uvAvg = ( uv3 + uv12 ) / 2.;
1059 *isBadTria = badTria;
1063 //=======================================================================
1064 //function : GetNodeU
1065 //purpose : Return node U on edge
1066 //=======================================================================
1068 double SMESH_MesherHelper::GetNodeU(const TopoDS_Edge& E,
1069 const SMDS_MeshNode* n,
1070 const SMDS_MeshNode* inEdgeNode,
1073 double param = Precision::Infinite();
1075 const SMDS_PositionPtr pos = n->GetPosition();
1076 if ( pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1078 param = pos->GetParameters()[0];
1080 else if( pos->GetTypeOfPosition() == SMDS_TOP_VERTEX )
1082 if ( inEdgeNode && TopExp::FirstVertex( E ).IsSame( TopExp::LastVertex( E ))) // issue 0020128
1085 BRep_Tool::Range( E, f,l );
1086 double uInEdge = GetNodeU( E, inEdgeNode );
1087 param = ( fabs( uInEdge - f ) < fabs( l - uInEdge )) ? f : l;
1091 SMESHDS_Mesh * meshDS = GetMeshDS();
1092 int vertexID = n->getshapeId();
1093 const TopoDS_Vertex& V = TopoDS::Vertex(meshDS->IndexToShape(vertexID));
1094 param = BRep_Tool::Parameter( V, E );
1098 BRepAdaptor_Curve curve( E );
1099 if ( curve.IsPeriodic() )
1101 double uInEdge = GetNodeU( E, inEdgeNode );
1102 param += ShapeAnalysis::AdjustByPeriod( param, uInEdge, curve.Period() );
1109 double tol = BRep_Tool::Tolerance( E );
1110 double f,l; BRep_Tool::Range( E, f,l );
1111 bool force = ( param < f-tol || param > l+tol );
1112 if ( !force && pos->GetTypeOfPosition()==SMDS_TOP_EDGE )
1113 force = ( GetMeshDS()->ShapeToIndex( E ) != n->getshapeId() );
1115 *check = CheckNodeU( E, n, param, 2*tol, force );
1120 //=======================================================================
1121 //function : CheckNodeU
1122 //purpose : Check and fix node U on an edge
1123 // Return false if U is bad and could not be fixed
1124 //=======================================================================
1126 bool SMESH_MesherHelper::CheckNodeU(const TopoDS_Edge& E,
1127 const SMDS_MeshNode* n,
1131 double distXYZ[4]) const
1133 int shapeID = n->getshapeId();
1135 if (( infinit = Precision::IsInfinite( u )) ||
1138 ( toCheckPosOnShape( shapeID )))
1140 TopLoc_Location loc; double f,l;
1141 Handle(Geom_Curve) curve = BRep_Tool::Curve( E,loc,f,l );
1142 if ( curve.IsNull() ) // degenerated edge
1144 if ( u+tol < f || u-tol > l )
1146 double r = Max( 0.5, 1 - tol*n->GetID()); // to get a unique u on edge
1152 gp_Pnt nodePnt = SMESH_TNodeXYZ( n );
1153 if ( !loc.IsIdentity() ) nodePnt.Transform( loc.Transformation().Inverted() );
1155 double dist = 2*tol;
1158 curvPnt = curve->Value( u );
1159 dist = nodePnt.Distance( curvPnt );
1161 curvPnt.Transform( loc );
1163 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1168 setPosOnShapeValidity( shapeID, false );
1169 // u incorrect, project the node to the curve
1170 //GeomAPI_ProjectPointOnCurve& projector = GetPCProjector( E ); -- bug in OCCT-7.5.3p1
1171 GeomAdaptor_Curve curveAd( curve, f, l );
1172 ShapeAnalysis_Curve projector;
1173 dist = projector.Project( curveAd, nodePnt, tol, curvPnt, u, false );
1174 // if ( projector.NbPoints() < 1 )
1176 // MESSAGE( "SMESH_MesherHelper::CheckNodeU() failed to project" );
1180 curvPnt = curve->Value( u );
1181 curvPnt.Transform( loc );
1183 distXYZ[1] = curvPnt.X(); distXYZ[2] = curvPnt.Y(); distXYZ[3]=curvPnt.Z();
1187 MESSAGE( "CheckNodeU(), invalid projection; distance " << dist << "; tol " << tol );
1190 // store the fixed U on the edge
1191 if ( myShape.IsSame(E) && shapeID == myShapeID && myFixNodeParameters )
1192 const_cast<SMDS_MeshNode*>(n)->SetPosition
1193 ( SMDS_PositionPtr( new SMDS_EdgePosition( u )));
1195 else if ( fabs( u ) > numeric_limits<double>::min() )
1197 setPosOnShapeValidity( shapeID, true );
1199 if (( u < f-tol || u > l+tol ) && force )
1201 MESSAGE("u < f-tol || u > l+tol ; u " << u << " f " << f << " l " << l);
1202 // node is on vertex but is set on periodic but trimmed edge (issue 0020890)
1205 // do not use IsPeriodic() as Geom_TrimmedCurve::IsPeriodic () returns false
1206 double period = curve->Period();
1207 u = ( u < f ) ? u + period : u - period;
1209 catch (Standard_Failure& exc)
1219 //=======================================================================
1220 //function : GetMediumPos
1221 //purpose : Return index and type of the shape (EDGE or FACE only) to
1222 // set a medium node on
1223 //param : useCurSubShape - if true, returns the shape set via SetSubShape()
1225 //param : expectedSupport - shape type corresponding to element being created,
1226 // e.g TopAbs_EDGE if SMDSAbs_Edge is created
1227 // basing on \a n1 and \a n2
1228 // Calling GetMediumPos() with useCurSubShape=true is OK only for the
1229 // case where the lower dim mesh is already constructed and converted to quadratic,
1230 // else, nodes on EDGEs are assigned to FACE, for example.
1231 //=======================================================================
1233 std::pair<int, TopAbs_ShapeEnum>
1234 SMESH_MesherHelper::GetMediumPos(const SMDS_MeshNode* n1,
1235 const SMDS_MeshNode* n2,
1236 const bool useCurSubShape,
1237 TopAbs_ShapeEnum expectedSupport)
1239 if ( useCurSubShape && !myShape.IsNull() )
1240 return std::make_pair( myShapeID, myShape.ShapeType() );
1242 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1246 if (( myShapeID == n1->getshapeId() || myShapeID == n2->getshapeId() ) && myShapeID > 0 )
1248 shapeType = myShape.ShapeType();
1249 shapeID = myShapeID;
1251 else if ( n1->getshapeId() == n2->getshapeId() )
1253 shapeID = n2->getshapeId();
1254 shape = GetSubShapeByNode( n1, GetMeshDS() );
1256 else // 2 different shapes
1258 const SMDS_TypeOfPosition Pos1 = n1->GetPosition()->GetTypeOfPosition();
1259 const SMDS_TypeOfPosition Pos2 = n2->GetPosition()->GetTypeOfPosition();
1261 if ( Pos1 == SMDS_TOP_3DSPACE || Pos2 == SMDS_TOP_3DSPACE )
1265 else if ( Pos1 == SMDS_TOP_FACE || Pos2 == SMDS_TOP_FACE )
1268 if ( Pos1 != SMDS_TOP_FACE || Pos2 != SMDS_TOP_FACE ) // not 2 FACEs
1270 if ( Pos1 != SMDS_TOP_FACE ) std::swap( n1,n2 );
1271 TopoDS_Shape F = GetSubShapeByNode( n1, GetMeshDS() );
1272 TopoDS_Shape S = GetSubShapeByNode( n2, GetMeshDS() );
1273 if ( IsSubShape( S, F ))
1275 shapeType = TopAbs_FACE;
1276 shapeID = n1->getshapeId();
1280 else if ( Pos1 == SMDS_TOP_EDGE && Pos2 == SMDS_TOP_EDGE )
1282 TopoDS_Shape E1 = GetSubShapeByNode( n1, GetMeshDS() );
1283 TopoDS_Shape E2 = GetSubShapeByNode( n2, GetMeshDS() );
1284 shape = GetCommonAncestor( E1, E2, *myMesh, TopAbs_FACE );
1286 else if ( Pos1 == SMDS_TOP_VERTEX && Pos2 == SMDS_TOP_VERTEX )
1288 TopoDS_Shape V1 = GetSubShapeByNode( n1, GetMeshDS() );
1289 TopoDS_Shape V2 = GetSubShapeByNode( n2, GetMeshDS() );
1290 shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_EDGE );
1291 if ( shape.IsNull() ) shape = GetCommonAncestor( V1, V2, *myMesh, TopAbs_FACE );
1293 else // on VERTEX and EDGE
1295 if ( Pos1 != SMDS_TOP_VERTEX ) std::swap( n1,n2 );
1296 TopoDS_Shape V = GetSubShapeByNode( n1, GetMeshDS() );
1297 TopoDS_Shape E = GetSubShapeByNode( n2, GetMeshDS() );
1298 if ( IsSubShape( V, E ))
1301 shape = GetCommonAncestor( V, E, *myMesh, TopAbs_FACE );
1305 if ( !shape.IsNull() )
1308 shapeID = GetMeshDS()->ShapeToIndex( shape );
1309 shapeType = shape.ShapeType(); // EDGE or FACE
1311 if ( expectedSupport < shapeType &&
1312 expectedSupport != TopAbs_SHAPE &&
1313 !myShape.IsNull() &&
1314 myShape.ShapeType() == expectedSupport )
1316 // e.g. a side of triangle connects nodes on the same EDGE but does not
1317 // lie on this EDGE (an arc with a coarse mesh)
1318 // => shapeType == TopAbs_EDGE, expectedSupport == TopAbs_FACE;
1319 // hope that myShape is a right shape, return it if the found shape
1320 // has converted elements of corresponding dim (segments in our example)
1321 int nbConvertedElems = 0;
1322 SMDSAbs_ElementType type = ( shapeType == TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
1323 for ( int iN = 0; iN < 2; ++iN )
1325 const SMDS_MeshNode* n = iN ? n2 : n1;
1326 SMDS_ElemIteratorPtr it = n->GetInverseElementIterator( type );
1327 while ( it->more() )
1329 const SMDS_MeshElement* elem = it->next();
1330 if ( elem->getshapeId() == shapeID &&
1331 elem->IsQuadratic() )
1338 if ( nbConvertedElems == 2 )
1340 shapeType = myShape.ShapeType();
1341 shapeID = myShapeID;
1345 return make_pair( shapeID, shapeType );
1348 //=======================================================================
1349 //function : GetCentralNode
1350 //purpose : Return existing or create a new central node for a quardilateral
1351 // quadratic face given its 8 nodes.
1352 //@param : force3d - true means node creation in between the given nodes,
1353 // else node position is found on a geometrical face if any.
1354 //=======================================================================
1356 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1357 const SMDS_MeshNode* n2,
1358 const SMDS_MeshNode* n3,
1359 const SMDS_MeshNode* n4,
1360 const SMDS_MeshNode* n12,
1361 const SMDS_MeshNode* n23,
1362 const SMDS_MeshNode* n34,
1363 const SMDS_MeshNode* n41,
1366 SMDS_MeshNode *centralNode = 0; // central node to return
1368 // Find an existing central node
1370 TBiQuad keyOfMap(n1,n2,n3,n4);
1371 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1372 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1373 if ( itMapCentralNode != myMapWithCentralNode.end() )
1375 return (*itMapCentralNode).second;
1378 // Get type of shape for the new central node
1380 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1384 TopTools_ListIteratorOfListOfShape it;
1386 std::map< int, int > faceId2nbNodes;
1387 std::map< int, int > ::iterator itMapWithIdFace;
1389 SMESHDS_Mesh* meshDS = GetMeshDS();
1391 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1392 // on sub-shapes of the FACE
1393 if ( GetMesh()->HasShapeToMesh() )
1395 const SMDS_MeshNode* nodes[] = { n1, n2, n3, n4 };
1396 for(int i = 0; i < 4; i++)
1398 shape = GetSubShapeByNode( nodes[i], meshDS );
1399 if ( shape.IsNull() ) break;
1400 if ( shape.ShapeType() == TopAbs_SOLID )
1402 solidID = nodes[i]->getshapeId();
1403 shapeType = TopAbs_SOLID;
1406 if ( shape.ShapeType() == TopAbs_FACE )
1408 faceID = nodes[i]->getshapeId();
1409 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1410 itMapWithIdFace->second++;
1414 PShapeIteratorPtr it = GetAncestors( shape, *GetMesh(), TopAbs_FACE );
1415 while ( const TopoDS_Shape* face = it->next() )
1417 faceID = meshDS->ShapeToIndex( *face );
1418 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 )).first;
1419 itMapWithIdFace->second++;
1424 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1426 // find ID of the FACE the four corner nodes belong to
1427 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1428 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1429 itMapWithIdFace->second == 4 )
1431 shapeType = TopAbs_FACE;
1436 itMapWithIdFace = faceId2nbNodes.begin();
1437 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1439 if ( itMapWithIdFace->second == 4 )
1441 shapeType = TopAbs_FACE;
1442 faceID = (*itMapWithIdFace).first;
1450 if ( shapeType == TopAbs_FACE )
1452 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1459 bool toCheck = true;
1460 if ( !F.IsNull() && !force3d )
1462 Handle(ShapeAnalysis_Surface) surface = GetSurface( F );
1463 if ( HasDegeneratedEdges() || surface->HasSingularities( 1e-7 ))
1465 gp_Pnt center = calcTFI (0.5, 0.5, // IPAL0052863
1466 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1467 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1468 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1469 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1470 gp_Pnt2d uv12 = GetNodeUV( F, n12, n3, &toCheck );
1471 uvAvg = surface->NextValueOfUV( uv12, center, BRep_Tool::Tolerance( F )).XY();
1476 GetNodeUV( F,n1, n3, &toCheck ),
1477 GetNodeUV( F,n2, n4, &toCheck ),
1478 GetNodeUV( F,n3, n1, &toCheck ),
1479 GetNodeUV( F,n4, n2, &toCheck ),
1480 GetNodeUV( F,n12, n3 ),
1481 GetNodeUV( F,n23, n4 ),
1482 GetNodeUV( F,n34, n2 ),
1483 GetNodeUV( F,n41, n2 )
1485 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
1487 uvAvg = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3], uv[4],uv[5],uv[6],uv[7] );
1489 P = surface->Value( uvAvg );
1490 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1491 // if ( mySetElemOnShape ) node is not elem!
1492 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1494 else // ( force3d || F.IsNull() )
1496 P = calcTFI (0.5, 0.5,
1497 SMESH_TNodeXYZ(n1), SMESH_TNodeXYZ(n2),
1498 SMESH_TNodeXYZ(n3), SMESH_TNodeXYZ(n4),
1499 SMESH_TNodeXYZ(n12), SMESH_TNodeXYZ(n23),
1500 SMESH_TNodeXYZ(n34), SMESH_TNodeXYZ(n41));
1501 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1503 if ( !F.IsNull() ) // force3d
1505 uvAvg = (GetNodeUV(F,n1,n3,&toCheck) +
1506 GetNodeUV(F,n2,n4,&toCheck) +
1507 GetNodeUV(F,n3,n1,&toCheck) +
1508 GetNodeUV(F,n4,n2,&toCheck)) / 4;
1509 //CheckNodeUV( F, centralNode, uvAvg, 2*BRep_Tool::Tolerance( F ), /*force=*/true);
1510 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1512 else if ( solidID > 0 )
1514 meshDS->SetNodeInVolume( centralNode, solidID );
1516 else if ( myShapeID > 0 && mySetElemOnShape )
1518 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1521 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1525 //=======================================================================
1526 //function : GetCentralNode
1527 //purpose : Return existing or create a new central node for a
1528 // quadratic triangle given its 6 nodes.
1529 //@param : force3d - true means node creation in between the given nodes,
1530 // else node position is found on a geometrical face if any.
1531 //=======================================================================
1533 const SMDS_MeshNode* SMESH_MesherHelper::GetCentralNode(const SMDS_MeshNode* n1,
1534 const SMDS_MeshNode* n2,
1535 const SMDS_MeshNode* n3,
1536 const SMDS_MeshNode* n12,
1537 const SMDS_MeshNode* n23,
1538 const SMDS_MeshNode* n31,
1541 SMDS_MeshNode *centralNode = 0; // central node to return
1543 // Find an existing central node
1545 TBiQuad keyOfMap(n1,n2,n3);
1546 std::map<TBiQuad, const SMDS_MeshNode* >::iterator itMapCentralNode;
1547 itMapCentralNode = myMapWithCentralNode.find( keyOfMap );
1548 if ( itMapCentralNode != myMapWithCentralNode.end() )
1550 return (*itMapCentralNode).second;
1553 // Get type of shape for the new central node
1555 TopAbs_ShapeEnum shapeType = TopAbs_SHAPE;
1559 TopTools_ListIteratorOfListOfShape it;
1561 std::map< int, int > faceId2nbNodes;
1562 std::map< int, int > ::iterator itMapWithIdFace;
1564 SMESHDS_Mesh* meshDS = GetMeshDS();
1566 // check if a face lies on a FACE, i.e. its all corner nodes lie either on the FACE or
1567 // on sub-shapes of the FACE
1568 if ( GetMesh()->HasShapeToMesh() )
1570 const SMDS_MeshNode* nodes[] = { n1, n2, n3 };
1571 for(int i = 0; i < 3; i++)
1573 shape = GetSubShapeByNode( nodes[i], meshDS );
1574 if ( shape.IsNull() ) break;
1575 if ( shape.ShapeType() == TopAbs_SOLID )
1577 solidID = nodes[i]->getshapeId();
1578 shapeType = TopAbs_SOLID;
1581 if ( shape.ShapeType() == TopAbs_FACE )
1583 faceID = nodes[i]->getshapeId();
1584 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1585 itMapWithIdFace->second++;
1589 PShapeIteratorPtr it = GetAncestors(shape, *GetMesh(), TopAbs_FACE );
1590 while ( const TopoDS_Shape* face = it->next() )
1592 faceID = meshDS->ShapeToIndex( *face );
1593 itMapWithIdFace = faceId2nbNodes.insert( std::make_pair( faceID, 0 ) ).first;
1594 itMapWithIdFace->second++;
1599 if ( solidID < 1 && !faceId2nbNodes.empty() ) // SOLID not found
1601 // find ID of the FACE the four corner nodes belong to
1602 itMapWithIdFace = faceId2nbNodes.find( myShapeID ); // IPAL52698
1603 if ( itMapWithIdFace != faceId2nbNodes.end() &&
1604 itMapWithIdFace->second == 4 )
1606 shapeType = TopAbs_FACE;
1611 itMapWithIdFace = faceId2nbNodes.begin();
1612 for ( ; itMapWithIdFace != faceId2nbNodes.end(); ++itMapWithIdFace)
1614 if ( itMapWithIdFace->second == 3 )
1616 shapeType = TopAbs_FACE;
1617 faceID = (*itMapWithIdFace).first;
1627 if ( shapeType == TopAbs_FACE )
1629 F = TopoDS::Face( meshDS->IndexToShape( faceID ));
1630 bool checkOK = true, badTria = false;
1632 GetNodeUV( F, n1, n23, &checkOK ),
1633 GetNodeUV( F, n2, n31, &checkOK ),
1634 GetNodeUV( F, n3, n12, &checkOK ),
1635 GetNodeUV( F, n12, n3, &checkOK ),
1636 GetNodeUV( F, n23, n1, &checkOK ),
1637 GetNodeUV( F, n31, n2, &checkOK )
1639 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
1641 uvAvg = GetCenterUV( uv[0],uv[1],uv[2], uv[3],uv[4],uv[5], &badTria );
1643 if ( badTria || !checkOK )
1647 // Create a central node
1650 if ( !F.IsNull() && !force3d )
1652 TopLoc_Location loc;
1653 Handle( Geom_Surface ) S = BRep_Tool::Surface( F, loc );
1654 P = S->Value( uvAvg.X(), uvAvg.Y() ).Transformed( loc );
1655 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1656 // if ( mySetElemOnShape ) node is not elem!
1657 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1659 else // ( force3d || F.IsNull() )
1661 P = ( SMESH_TNodeXYZ( n12 ) +
1662 SMESH_TNodeXYZ( n23 ) +
1663 SMESH_TNodeXYZ( n31 ) ) / 3;
1664 centralNode = meshDS->AddNode( P.X(), P.Y(), P.Z() );
1666 if ( !F.IsNull() ) // force3d
1668 meshDS->SetNodeOnFace( centralNode, faceID, uvAvg.X(), uvAvg.Y() );
1670 else if ( solidID > 0 )
1672 meshDS->SetNodeInVolume( centralNode, solidID );
1674 else if ( myShapeID > 0 && mySetElemOnShape )
1676 meshDS->SetMeshElementOnShape( centralNode, myShapeID );
1679 myMapWithCentralNode.insert( std::make_pair( keyOfMap, centralNode ) );
1683 //=======================================================================
1684 //function : GetMediumNode
1685 //purpose : Return existing or create a new medium node between given ones
1686 //=======================================================================
1688 const SMDS_MeshNode* SMESH_MesherHelper::GetMediumNode(const SMDS_MeshNode* n1,
1689 const SMDS_MeshNode* n2,
1691 TopAbs_ShapeEnum expectedSupport)
1693 // Find existing node
1695 SMESH_TLink link(n1,n2);
1696 ItTLinkNode itLN = myTLinkNodeMap.find( link );
1697 if ( itLN != myTLinkNodeMap.end() ) {
1698 return (*itLN).second;
1701 // Create medium node
1704 SMESHDS_Mesh* meshDS = GetMeshDS();
1706 if ( IsSeamShape( n1->getshapeId() ))
1707 // to get a correct UV of a node on seam, the second node must have checked UV
1708 std::swap( n1, n2 );
1710 // get type of shape for the new medium node
1711 int faceID = -1, edgeID = -1;
1712 TopoDS_Edge E; double u [2] = {0.,0.};
1713 TopoDS_Face F; gp_XY uv[2];
1714 bool uvOK[2] = { true, true };
1715 const bool useCurSubShape = ( !myShape.IsNull() && myShape.ShapeType() == TopAbs_EDGE );
1717 pair<int, TopAbs_ShapeEnum> pos = GetMediumPos( n1, n2, useCurSubShape, expectedSupport );
1719 // get positions of the given nodes on shapes
1720 if ( pos.second == TopAbs_FACE )
1722 F = TopoDS::Face( meshDS->IndexToShape( faceID = pos.first ));
1723 uv[0] = GetNodeUV(F,n1,n2, force3d ? 0 : &uvOK[0]);
1724 uv[1] = GetNodeUV(F,n2,n1, force3d ? 0 : &uvOK[1]);
1726 else if ( pos.second == TopAbs_EDGE )
1728 const SMDS_PositionPtr Pos1 = n1->GetPosition();
1729 const SMDS_PositionPtr Pos2 = n2->GetPosition();
1730 if ( Pos1->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1731 Pos2->GetTypeOfPosition()==SMDS_TOP_EDGE &&
1732 n1->getshapeId() != n2->getshapeId() )
1735 return getMediumNodeOnComposedWire(n1,n2,force3d);
1737 E = TopoDS::Edge(meshDS->IndexToShape( edgeID = pos.first ));
1739 u[0] = GetNodeU(E,n1,n2, force3d ? 0 : &uvOK[0]);
1740 u[1] = GetNodeU(E,n2,n1, force3d ? 0 : &uvOK[1]);
1742 catch ( Standard_Failure& f )
1744 // issue 22502 / a node is on VERTEX not belonging to E
1745 // issue 22568 / both nodes are on non-connected VERTEXes
1746 return getMediumNodeOnComposedWire(n1,n2,force3d);
1750 if ( !force3d & uvOK[0] && uvOK[1] )
1752 // we try to create medium node using UV parameters of
1753 // nodes, else - medium between corresponding 3d points
1756 if ( IsDegenShape( n1->getshapeId() )) {
1757 if ( myParIndex & U_periodic ) uv[0].SetCoord( 1, uv[1].Coord( 1 ));
1758 else uv[0].SetCoord( 2, uv[1].Coord( 2 ));
1760 else if ( IsDegenShape( n2->getshapeId() )) {
1761 if ( myParIndex & U_periodic ) uv[1].SetCoord( 1, uv[0].Coord( 1 ));
1762 else uv[1].SetCoord( 2, uv[0].Coord( 2 ));
1764 TopLoc_Location loc;
1765 Handle(Geom_Surface) S = BRep_Tool::Surface(F,loc);
1766 gp_XY UV = GetMiddleUV( S, uv[0], uv[1] );
1767 gp_Pnt P = S->Value( UV.X(), UV.Y() ).Transformed(loc);
1769 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1770 gp_Pnt pMid = 0.5 * ( p1 + p2 );
1771 double distMid = pMid.SquareDistance( P );
1772 double dist12 = ( p1 - p2 ).SquareModulus();
1773 Handle(ShapeAnalysis_Surface) surfInfo = GetSurface( F );
1774 if ( distMid > dist12 ||
1775 HasDegeneratedEdges() ||
1776 surfInfo->HasSingularities( 1e-7 ) )
1778 // IPAL52850 (degen VERTEX not at singularity)
1779 // project middle point to a surface
1782 uvMid = surfInfo->NextValueOfUV( uv[0], pMid, BRep_Tool::Tolerance( F ));
1784 uvMid = surfInfo->ValueOfUV( pMid, getFaceMaxTol( F ));
1785 if ( surfInfo->Gap() * surfInfo->Gap() < distMid )
1786 P = surfInfo->Value( uvMid );
1788 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1789 // if ( mySetElemOnShape ) node is not elem!
1790 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y());
1791 myTLinkNodeMap.insert(make_pair(link,n12));
1794 else if ( !E.IsNull() )
1797 Handle(Geom_Curve) C = BRep_Tool::Curve(E, f, l);
1800 Standard_Boolean isPeriodic = C->IsPeriodic();
1803 Standard_Real Period = C->Period();
1804 Standard_Real p = u[1]+ShapeAnalysis::AdjustByPeriod(u[1],u[0],Period);
1805 Standard_Real pmid = (u[0]+p)/2.;
1806 U = pmid+ShapeAnalysis::AdjustToPeriod(pmid,C->FirstParameter(),C->LastParameter());
1811 gp_Pnt P = C->Value( U );
1812 n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
1813 //if ( mySetElemOnShape ) node is not elem!
1814 meshDS->SetNodeOnEdge(n12, edgeID, U);
1815 myTLinkNodeMap.insert(make_pair(link,n12));
1822 double x = ( n1->X() + n2->X() )/2.;
1823 double y = ( n1->Y() + n2->Y() )/2.;
1824 double z = ( n1->Z() + n2->Z() )/2.;
1825 n12 = meshDS->AddNode(x,y,z);
1827 //if ( mySetElemOnShape ) node is not elem!
1831 gp_XY UV = ( uv[0] + uv[1] ) / 2.;
1832 CheckNodeUV( F, n12, UV, 2 * BRep_Tool::Tolerance( F ), /*force=*/true);
1833 meshDS->SetNodeOnFace(n12, faceID, UV.X(), UV.Y() );
1835 else if ( !E.IsNull() )
1837 double U = ( u[0] + u[1] ) / 2.;
1838 CheckNodeU( E, n12, U, 2 * BRep_Tool::Tolerance( E ), /*force=*/true);
1839 meshDS->SetNodeOnEdge(n12, edgeID, U);
1841 else if ( myShapeID > 0 && mySetElemOnShape )
1843 meshDS->SetMeshElementOnShape(n12, myShapeID);
1847 myTLinkNodeMap.insert( make_pair( link, n12 ));
1851 //================================================================================
1853 * \brief Makes a medium node if nodes reside different edges
1855 //================================================================================
1857 const SMDS_MeshNode* SMESH_MesherHelper::getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
1858 const SMDS_MeshNode* n2,
1861 SMESH_TNodeXYZ p1( n1 ), p2( n2 );
1862 gp_Pnt middle = 0.5 * p1 + 0.5 * p2;
1863 SMDS_MeshNode* n12 = AddNode( middle.X(), middle.Y(), middle.Z() );
1865 // To find position on edge and 3D position for n12,
1866 // project <middle> to 2 edges and select projection most close to <middle>
1868 TopoDS_Edge bestEdge;
1869 double u = 0, distMiddleProj = Precision::Infinite(), distXYZ[4], f,l;
1871 // get shapes under the nodes
1872 TopoDS_Shape shape[2];
1874 for ( int is2nd = 0; is2nd < 2; ++is2nd )
1876 const SMDS_MeshNode* n = is2nd ? n2 : n1;
1877 TopoDS_Shape S = GetSubShapeByNode( n, GetMeshDS() );
1879 shape[ nbShapes++ ] = S;
1882 vector< TopoDS_Shape > edges;
1883 for ( int iS = 0; iS < nbShapes; ++iS )
1885 switch ( shape[iS].ShapeType() ) {
1888 edges.push_back( shape[iS] );
1894 if ( nbShapes == 2 && iS==0 && shape[1-iS].ShapeType() == TopAbs_VERTEX )
1895 edge = GetCommonAncestor( shape[iS], shape[1-iS], *myMesh, TopAbs_EDGE );
1897 if ( edge.IsNull() )
1899 PShapeIteratorPtr eIt = GetAncestors( shape[iS], *myMesh, TopAbs_EDGE );
1900 while( const TopoDS_Shape* e = eIt->next() )
1901 edges.push_back( *e );
1907 if ( nbShapes == 1 || shape[1-iS].ShapeType() < TopAbs_EDGE )
1908 for ( TopExp_Explorer e( shape[iS], TopAbs_EDGE ); e.More(); e.Next() )
1909 edges.push_back( e.Current() );
1916 // project to get U of projection and distance from middle to projection
1917 for ( size_t iE = 0; iE < edges.size(); ++iE )
1919 const TopoDS_Edge& edge = TopoDS::Edge( edges[ iE ]);
1920 distXYZ[0] = distMiddleProj;
1922 CheckNodeU( edge, n12, testU, 2 * BRep_Tool::Tolerance(edge), /*force=*/true, distXYZ );
1923 if ( distXYZ[0] < distMiddleProj )
1925 distMiddleProj = distXYZ[0];
1931 // // both projections failed; set n12 on the edge of n1 with U of a common vertex
1932 // TopoDS_Vertex vCommon;
1933 // if ( TopExp::CommonVertex( edges[0], edges[1], vCommon ))
1934 // u = BRep_Tool::Parameter( vCommon, edges[0] );
1937 // double f,l, u0 = GetNodeU( edges[0], n1 );
1938 // BRep_Tool::Range( edges[0],f,l );
1939 // u = ( fabs(u0-f) < fabs(u0-l) ) ? f : l;
1942 // distMiddleProj = 0;
1945 if ( !bestEdge.IsNull() )
1947 // move n12 to position of a successful projection
1948 //double tol = BRep_Tool::Tolerance(edges[ iOkEdge ]);
1949 if ( !force3d /*&& distMiddleProj > 2*tol*/ )
1951 TopLoc_Location loc;
1952 Handle(Geom_Curve) curve = BRep_Tool::Curve( bestEdge,loc,f,l );
1953 gp_Pnt p = curve->Value( u ).Transformed( loc );
1954 GetMeshDS()->MoveNode( n12, p.X(), p.Y(), p.Z() );
1956 //if ( mySetElemOnShape ) node is not elem!
1958 int edgeID = GetMeshDS()->ShapeToIndex( bestEdge );
1959 if ( edgeID != n12->getshapeId() )
1960 GetMeshDS()->UnSetNodeOnShape( n12 );
1961 GetMeshDS()->SetNodeOnEdge(n12, edgeID, u);
1964 myTLinkNodeMap.insert( make_pair( SMESH_TLink(n1,n2), n12 ));
1969 //=======================================================================
1970 //function : AddNode
1971 //purpose : Creates a node
1972 //=======================================================================
1974 SMDS_MeshNode* SMESH_MesherHelper::AddNode(double x, double y, double z, smIdType ID,
1977 SMESHDS_Mesh * meshDS = GetMeshDS();
1978 SMDS_MeshNode* node = 0;
1980 node = meshDS->AddNodeWithID( x, y, z, ID );
1982 node = meshDS->AddNode( x, y, z );
1983 if ( mySetElemOnShape && myShapeID > 0 ) { // node is not elem ?
1984 switch ( myShape.ShapeType() ) {
1985 case TopAbs_SOLID: meshDS->SetNodeInVolume( node, myShapeID); break;
1986 case TopAbs_SHELL: meshDS->SetNodeInVolume( node, myShapeID); break;
1987 case TopAbs_FACE: meshDS->SetNodeOnFace( node, myShapeID, u, v); break;
1988 case TopAbs_EDGE: meshDS->SetNodeOnEdge( node, myShapeID, u); break;
1989 case TopAbs_VERTEX: meshDS->SetNodeOnVertex( node, myShapeID); break;
1996 //=======================================================================
1997 //function : AddEdge
1998 //purpose : Creates quadratic or linear edge
1999 //=======================================================================
2001 SMDS_MeshEdge* SMESH_MesherHelper::AddEdge(const SMDS_MeshNode* n1,
2002 const SMDS_MeshNode* n2,
2006 SMESHDS_Mesh * meshDS = GetMeshDS();
2008 SMDS_MeshEdge* edge = 0;
2009 if (myCreateQuadratic) {
2010 const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,force3d);
2012 edge = meshDS->AddEdgeWithID(n1, n2, n12, id);
2014 edge = meshDS->AddEdge(n1, n2, n12);
2018 edge = meshDS->AddEdgeWithID(n1, n2, id);
2020 edge = meshDS->AddEdge(n1, n2);
2023 if ( mySetElemOnShape && myShapeID > 0 )
2024 meshDS->SetMeshElementOnShape( edge, myShapeID );
2029 //=======================================================================
2030 //function : AddFace
2031 //purpose : Creates quadratic or linear triangle
2032 //=======================================================================
2034 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2035 const SMDS_MeshNode* n2,
2036 const SMDS_MeshNode* n3,
2040 SMESHDS_Mesh * meshDS = GetMeshDS();
2041 SMDS_MeshFace* elem = 0;
2043 if( n1==n2 || n2==n3 || n3==n1 )
2046 if(!myCreateQuadratic) {
2048 elem = meshDS->AddFaceWithID(n1, n2, n3, id);
2050 elem = meshDS->AddFace(n1, n2, n3);
2053 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2054 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2055 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_FACE );
2056 if(myCreateBiQuadratic)
2058 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n12, n23, n31, force3d);
2060 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, nCenter, id);
2062 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31, nCenter);
2067 elem = meshDS->AddFaceWithID(n1, n2, n3, n12, n23, n31, id);
2069 elem = meshDS->AddFace(n1, n2, n3, n12, n23, n31);
2072 if ( mySetElemOnShape && myShapeID > 0 )
2073 meshDS->SetMeshElementOnShape( elem, myShapeID );
2078 //=======================================================================
2079 //function : AddFace
2080 //purpose : Creates bi-quadratic, quadratic or linear quadrangle
2081 //=======================================================================
2083 SMDS_MeshFace* SMESH_MesherHelper::AddFace(const SMDS_MeshNode* n1,
2084 const SMDS_MeshNode* n2,
2085 const SMDS_MeshNode* n3,
2086 const SMDS_MeshNode* n4,
2090 SMESHDS_Mesh * meshDS = GetMeshDS();
2091 SMDS_MeshFace* elem = 0;
2094 return AddFace(n1,n3,n4,id,force3d);
2097 return AddFace(n1,n2,n4,id,force3d);
2100 return AddFace(n1,n2,n3,id,force3d);
2103 return AddFace(n1,n2,n4,id,force3d);
2106 return AddFace(n1,n2,n3,id,force3d);
2109 return AddFace(n1,n2,n3,id,force3d);
2112 if(!myCreateQuadratic) {
2114 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, id);
2116 elem = meshDS->AddFace(n1, n2, n3, n4);
2119 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2120 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_FACE );
2121 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_FACE );
2122 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_FACE );
2123 if(myCreateBiQuadratic)
2125 const SMDS_MeshNode* nCenter = GetCentralNode(n1, n2, n3, n4, n12, n23, n34, n41, force3d);
2127 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, nCenter, id);
2129 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41, nCenter);
2134 elem = meshDS->AddFaceWithID(n1, n2, n3, n4, n12, n23, n34, n41, id);
2136 elem = meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
2139 if ( mySetElemOnShape && myShapeID > 0 )
2140 meshDS->SetMeshElementOnShape( elem, myShapeID );
2145 //=======================================================================
2146 //function : AddPolygonalFace
2147 //purpose : Creates polygon, with additional nodes in quadratic mesh
2148 //=======================================================================
2150 SMDS_MeshFace* SMESH_MesherHelper::AddPolygonalFace (const vector<const SMDS_MeshNode*>& nodes,
2154 SMESHDS_Mesh * meshDS = GetMeshDS();
2155 SMDS_MeshFace* elem = 0;
2157 if(!myCreateQuadratic)
2160 elem = meshDS->AddPolygonalFaceWithID(nodes, id);
2162 elem = meshDS->AddPolygonalFace(nodes);
2166 vector<const SMDS_MeshNode*> newNodes( nodes.size() * 2 );
2168 for ( size_t i = 0; i < nodes.size(); ++i )
2170 const SMDS_MeshNode* n1 = nodes[i];
2171 const SMDS_MeshNode* n2 = nodes[(i+1)%nodes.size()];
2172 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_FACE );
2173 newNodes.push_back( n12 );
2176 elem = meshDS->AddQuadPolygonalFaceWithID(newNodes, id);
2178 elem = meshDS->AddQuadPolygonalFace(newNodes);
2180 if ( mySetElemOnShape && myShapeID > 0 )
2181 meshDS->SetMeshElementOnShape( elem, myShapeID );
2186 //=======================================================================
2187 //function : AddVolume
2188 //purpose : Creates quadratic or linear prism
2189 //=======================================================================
2191 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2192 const SMDS_MeshNode* n2,
2193 const SMDS_MeshNode* n3,
2194 const SMDS_MeshNode* n4,
2195 const SMDS_MeshNode* n5,
2196 const SMDS_MeshNode* n6,
2200 SMESHDS_Mesh * meshDS = GetMeshDS();
2201 SMDS_MeshVolume* elem = 0;
2202 if(!myCreateQuadratic) {
2204 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, id);
2206 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
2209 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2210 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2211 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2213 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2214 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2215 const SMDS_MeshNode* n64 = GetMediumNode( n6, n4, force3d, TopAbs_SOLID );
2217 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2218 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2219 const SMDS_MeshNode* n36 = GetMediumNode( n3, n6, force3d, TopAbs_SOLID );
2220 if ( myCreateBiQuadratic )
2222 const SMDS_MeshNode* n1245 = GetCentralNode( n1,n2,n4,n5,n12,n25,n45,n14,force3d );
2223 const SMDS_MeshNode* n1346 = GetCentralNode( n1,n3,n4,n6,n31,n36,n64,n14,force3d );
2224 const SMDS_MeshNode* n2356 = GetCentralNode( n2,n3,n6,n5,n23,n36,n56,n25,force3d );
2227 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2228 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2229 n1245, n2356, n1346, id);
2231 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2232 n12, n23, n31, n45, n56, n64, n14, n25, n36,
2233 n1245, n2356, n1346);
2238 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6,
2239 n12, n23, n31, n45, n56, n64, n14, n25, n36, id);
2241 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
2242 n12, n23, n31, n45, n56, n64, n14, n25, n36);
2245 if ( mySetElemOnShape && myShapeID > 0 )
2246 meshDS->SetMeshElementOnShape( elem, myShapeID );
2251 //=======================================================================
2252 //function : AddVolume
2253 //purpose : Creates quadratic or linear tetrahedron
2254 //=======================================================================
2256 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2257 const SMDS_MeshNode* n2,
2258 const SMDS_MeshNode* n3,
2259 const SMDS_MeshNode* n4,
2263 SMESHDS_Mesh * meshDS = GetMeshDS();
2264 SMDS_MeshVolume* elem = 0;
2265 if(!myCreateQuadratic) {
2267 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, id);
2269 elem = meshDS->AddVolume(n1, n2, n3, n4);
2272 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2273 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2274 const SMDS_MeshNode* n31 = GetMediumNode( n3, n1, force3d, TopAbs_SOLID );
2276 const SMDS_MeshNode* n14 = GetMediumNode( n1, n4, force3d, TopAbs_SOLID );
2277 const SMDS_MeshNode* n24 = GetMediumNode( n2, n4, force3d, TopAbs_SOLID );
2278 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2281 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34, id);
2283 elem = meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
2285 if ( mySetElemOnShape && myShapeID > 0 )
2286 meshDS->SetMeshElementOnShape( elem, myShapeID );
2291 //=======================================================================
2292 //function : AddVolume
2293 //purpose : Creates quadratic or linear pyramid
2294 //=======================================================================
2296 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2297 const SMDS_MeshNode* n2,
2298 const SMDS_MeshNode* n3,
2299 const SMDS_MeshNode* n4,
2300 const SMDS_MeshNode* n5,
2304 SMDS_MeshVolume* elem = 0;
2305 if(!myCreateQuadratic) {
2307 elem = GetMeshDS()->AddVolumeWithID(n1, n2, n3, n4, n5, id);
2309 elem = GetMeshDS()->AddVolume(n1, n2, n3, n4, n5);
2312 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2313 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2314 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2315 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2317 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2318 const SMDS_MeshNode* n25 = GetMediumNode( n2, n5, force3d, TopAbs_SOLID );
2319 const SMDS_MeshNode* n35 = GetMediumNode( n3, n5, force3d, TopAbs_SOLID );
2320 const SMDS_MeshNode* n45 = GetMediumNode( n4, n5, force3d, TopAbs_SOLID );
2323 elem = GetMeshDS()->AddVolumeWithID ( n1, n2, n3, n4, n5,
2328 elem = GetMeshDS()->AddVolume( n1, n2, n3, n4, n5,
2330 n15, n25, n35, n45);
2332 if ( mySetElemOnShape && myShapeID > 0 )
2333 GetMeshDS()->SetMeshElementOnShape( elem, myShapeID );
2338 //=======================================================================
2339 //function : AddVolume
2340 //purpose : Creates tri-quadratic, quadratic or linear hexahedron
2341 //=======================================================================
2343 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2344 const SMDS_MeshNode* n2,
2345 const SMDS_MeshNode* n3,
2346 const SMDS_MeshNode* n4,
2347 const SMDS_MeshNode* n5,
2348 const SMDS_MeshNode* n6,
2349 const SMDS_MeshNode* n7,
2350 const SMDS_MeshNode* n8,
2354 SMESHDS_Mesh * meshDS = GetMeshDS();
2355 SMDS_MeshVolume* elem = 0;
2356 if(!myCreateQuadratic) {
2358 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8, id);
2360 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
2363 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2364 const SMDS_MeshNode* n23 = GetMediumNode( n2, n3, force3d, TopAbs_SOLID );
2365 const SMDS_MeshNode* n34 = GetMediumNode( n3, n4, force3d, TopAbs_SOLID );
2366 const SMDS_MeshNode* n41 = GetMediumNode( n4, n1, force3d, TopAbs_SOLID );
2368 const SMDS_MeshNode* n56 = GetMediumNode( n5, n6, force3d, TopAbs_SOLID );
2369 const SMDS_MeshNode* n67 = GetMediumNode( n6, n7, force3d, TopAbs_SOLID );
2370 const SMDS_MeshNode* n78 = GetMediumNode( n7, n8, force3d, TopAbs_SOLID );
2371 const SMDS_MeshNode* n85 = GetMediumNode( n8, n5, force3d, TopAbs_SOLID );
2373 const SMDS_MeshNode* n15 = GetMediumNode( n1, n5, force3d, TopAbs_SOLID );
2374 const SMDS_MeshNode* n26 = GetMediumNode( n2, n6, force3d, TopAbs_SOLID );
2375 const SMDS_MeshNode* n37 = GetMediumNode( n3, n7, force3d, TopAbs_SOLID );
2376 const SMDS_MeshNode* n48 = GetMediumNode( n4, n8, force3d, TopAbs_SOLID );
2377 if ( myCreateBiQuadratic )
2379 const SMDS_MeshNode* n1234 = GetCentralNode( n1,n2,n3,n4,n12,n23,n34,n41,force3d );
2380 const SMDS_MeshNode* n1256 = GetCentralNode( n1,n2,n5,n6,n12,n26,n56,n15,force3d );
2381 const SMDS_MeshNode* n2367 = GetCentralNode( n2,n3,n6,n7,n23,n37,n67,n26,force3d );
2382 const SMDS_MeshNode* n3478 = GetCentralNode( n3,n4,n7,n8,n34,n48,n78,n37,force3d );
2383 const SMDS_MeshNode* n1458 = GetCentralNode( n1,n4,n5,n8,n41,n48,n15,n85,force3d );
2384 const SMDS_MeshNode* n5678 = GetCentralNode( n5,n6,n7,n8,n56,n67,n78,n85,force3d );
2386 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
2388 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( n4 );
2389 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( n8 );
2390 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( n3 );
2391 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( n7 );
2392 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( n1 );
2393 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( n5 );
2394 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( n2 );
2395 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( n6 );
2397 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( n48 );
2398 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( n37 );
2399 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( n15 );
2400 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( n26 );
2401 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( n34 );
2402 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( n78 );
2403 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( n12 );
2404 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( n56 );
2405 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( n41 );
2406 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( n85 );
2407 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( n23 );
2408 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( n67 );
2410 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( n3478 );
2411 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( n1256 );
2412 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( n1458 );
2413 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( n2367 );
2414 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( n1234 );
2415 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( n5678 );
2417 gp_XYZ centerCube(0.5, 0.5, 0.5);
2419 SMESH_Block::ShellPoint( centerCube, pointsOnShapes, nCenterElem );
2420 const SMDS_MeshNode* nCenter =
2421 meshDS->AddNode( nCenterElem.X(), nCenterElem.Y(), nCenterElem.Z() );
2422 meshDS->SetNodeInVolume( nCenter, myShapeID );
2425 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2426 n12, n23, n34, n41, n56, n67,
2427 n78, n85, n15, n26, n37, n48,
2428 n1234, n1256, n2367, n3478, n1458, n5678, nCenter, id);
2430 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2431 n12, n23, n34, n41, n56, n67,
2432 n78, n85, n15, n26, n37, n48,
2433 n1234, n1256, n2367, n3478, n1458, n5678, nCenter);
2438 elem = meshDS->AddVolumeWithID(n1, n2, n3, n4, n5, n6, n7, n8,
2439 n12, n23, n34, n41, n56, n67,
2440 n78, n85, n15, n26, n37, n48, id);
2442 elem = meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
2443 n12, n23, n34, n41, n56, n67,
2444 n78, n85, n15, n26, n37, n48);
2447 if ( mySetElemOnShape && myShapeID > 0 )
2448 meshDS->SetMeshElementOnShape( elem, myShapeID );
2453 //=======================================================================
2454 //function : AddVolume
2455 //purpose : Creates LINEAR!!!!!!!!! octahedron
2456 //=======================================================================
2458 SMDS_MeshVolume* SMESH_MesherHelper::AddVolume(const SMDS_MeshNode* n1,
2459 const SMDS_MeshNode* n2,
2460 const SMDS_MeshNode* n3,
2461 const SMDS_MeshNode* n4,
2462 const SMDS_MeshNode* n5,
2463 const SMDS_MeshNode* n6,
2464 const SMDS_MeshNode* n7,
2465 const SMDS_MeshNode* n8,
2466 const SMDS_MeshNode* n9,
2467 const SMDS_MeshNode* n10,
2468 const SMDS_MeshNode* n11,
2469 const SMDS_MeshNode* n12,
2473 SMESHDS_Mesh * meshDS = GetMeshDS();
2474 SMDS_MeshVolume* elem = 0;
2476 elem = meshDS->AddVolumeWithID(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12,id);
2478 elem = meshDS->AddVolume(n1,n2,n3,n4,n5,n6,n7,n8,n9,n10,n11,n12);
2479 if ( mySetElemOnShape && myShapeID > 0 )
2480 meshDS->SetMeshElementOnShape( elem, myShapeID );
2484 //=======================================================================
2485 //function : AddPolyhedralVolume
2486 //purpose : Creates polyhedron. In quadratic mesh, adds medium nodes
2487 //=======================================================================
2490 SMESH_MesherHelper::AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
2491 const std::vector<int>& quantities,
2495 SMESHDS_Mesh * meshDS = GetMeshDS();
2496 SMDS_MeshVolume* elem = 0;
2497 if(!myCreateQuadratic)
2500 elem = meshDS->AddPolyhedralVolumeWithID(nodes, quantities, id);
2502 elem = meshDS->AddPolyhedralVolume(nodes, quantities);
2506 vector<const SMDS_MeshNode*> newNodes;
2507 vector<int> newQuantities;
2508 for ( size_t iFace = 0, iN = 0; iFace < quantities.size(); ++iFace )
2510 int nbNodesInFace = quantities[iFace];
2511 newQuantities.push_back(0);
2512 for ( int i = 0; i < nbNodesInFace; ++i )
2514 const SMDS_MeshNode* n1 = nodes[ iN + i ];
2515 newNodes.push_back( n1 );
2516 newQuantities.back()++;
2518 const SMDS_MeshNode* n2 = nodes[ iN + ( i+1==nbNodesInFace ? 0 : i+1 )];
2519 // if ( n1->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE &&
2520 // n2->GetPosition()->GetTypeOfPosition() != SMDS_TOP_3DSPACE )
2522 const SMDS_MeshNode* n12 = GetMediumNode( n1, n2, force3d, TopAbs_SOLID );
2523 newNodes.push_back( n12 );
2524 newQuantities.back()++;
2527 iN += nbNodesInFace;
2530 elem = meshDS->AddPolyhedralVolumeWithID( newNodes, newQuantities, id );
2532 elem = meshDS->AddPolyhedralVolume( newNodes, newQuantities );
2534 if ( mySetElemOnShape && myShapeID > 0 )
2535 meshDS->SetMeshElementOnShape( elem, myShapeID );
2542 //================================================================================
2544 * \brief Check if a node belongs to any face of sub-mesh
2546 //================================================================================
2548 bool isNodeInSubMesh( const SMDS_MeshNode* n, const SMESHDS_SubMesh* sm )
2550 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2551 while ( fIt->more() )
2552 if ( sm->Contains( fIt->next() ))
2558 //=======================================================================
2559 //function : IsSameElemGeometry
2560 //purpose : Returns true if all elements of a sub-mesh are of same shape
2561 //=======================================================================
2563 bool SMESH_MesherHelper::IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
2564 SMDSAbs_GeometryType shape,
2565 const bool nullSubMeshRes)
2567 if ( !smDS ) return nullSubMeshRes;
2569 SMDS_ElemIteratorPtr elemIt = smDS->GetElements();
2570 while ( elemIt->more() ) {
2571 const SMDS_MeshElement* e = elemIt->next();
2572 if ( e->GetGeomType() != shape )
2578 //=======================================================================
2579 //function : LoadNodeColumns
2580 //purpose : Load nodes bound to face into a map of node columns
2581 //=======================================================================
2583 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2584 const TopoDS_Face& theFace,
2585 const TopoDS_Edge& theBaseEdge,
2586 SMESHDS_Mesh* theMesh,
2587 SMESH_ProxyMesh* theProxyMesh)
2589 return LoadNodeColumns(theParam2ColumnMap,
2591 std::list<TopoDS_Edge>(1,theBaseEdge),
2596 //=======================================================================
2597 //function : LoadNodeColumns
2598 //purpose : Load nodes bound to face into a map of node columns
2599 //=======================================================================
2601 bool SMESH_MesherHelper::LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
2602 const TopoDS_Face& theFace,
2603 const std::list<TopoDS_Edge>& theBaseSide,
2604 SMESHDS_Mesh* theMesh,
2605 SMESH_ProxyMesh* theProxyMesh)
2607 // get a right sub-mesh of theFace
2609 const SMESHDS_SubMesh* faceSubMesh = 0;
2612 faceSubMesh = theProxyMesh->GetSubMesh( theFace );
2613 if ( !faceSubMesh ||
2614 faceSubMesh->NbElements() == 0 ||
2615 theProxyMesh->IsTemporary( faceSubMesh->GetElements()->next() ))
2617 // can use a proxy sub-mesh with not temporary elements only
2623 faceSubMesh = theMesh->MeshElements( theFace );
2624 if ( !faceSubMesh || faceSubMesh->NbElements() == 0 )
2627 if ( theParam2ColumnMap.empty() )
2629 // get data of edges for normalization of params
2630 vector< double > length;
2632 list<TopoDS_Edge>::const_iterator edge;
2634 for ( edge = theBaseSide.begin(); edge != theBaseSide.end(); ++edge )
2636 double len = std::max( 1e-10, SMESH_Algo::EdgeLength( *edge ));
2638 length.push_back( len );
2642 // get nodes on theBaseEdge sorted by param on edge and initialize theParam2ColumnMap with them
2643 const SMDS_MeshNode* prevEndNodes[2] = { 0, 0 };
2644 edge = theBaseSide.begin();
2645 for ( int iE = 0; edge != theBaseSide.end(); ++edge, ++iE )
2647 map< double, const SMDS_MeshNode*> sortedBaseNN;
2648 SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN );
2650 map< double, const SMDS_MeshNode*>::iterator u_n;
2651 // pb with mesh_Projection_2D_00/A1 fixed by adding expectedSupport arg to GetMediumPos()
2652 // so the following solution is commented (hope forever :)
2654 // SMESH_Algo::GetSortedNodesOnEdge( theMesh, *edge,/*noMedium=*/true, sortedBaseNN,
2655 // // SMDSAbs_Edge here is needed to be coherent with
2656 // // StdMeshers_FaceSide used by Quadrangle to get nodes
2657 // // on EDGE; else pb in mesh_Projection_2D_00/A1 where a
2658 // // medium node on EDGE is medium in a triangle but not
2661 // if ( faceSubMesh->GetElements()->next()->IsQuadratic() )
2662 // // filter off nodes medium in faces on theFace (same pb with mesh_Projection_2D_00/A1)
2663 // for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end() ; )
2665 // const SMDS_MeshNode* node = u_n->second;
2666 // SMDS_ElemIteratorPtr faceIt = node->GetInverseElementIterator( SMDSAbs_Face );
2667 // if ( faceIt->more() && node ) {
2668 // const SMDS_MeshElement* face = faceIt->next();
2669 // if ( faceSubMesh->Contains( face ) && face->IsMediumNode( node ))
2673 // sortedBaseNN.erase( u_n++ );
2677 if ( sortedBaseNN.empty() ) continue;
2679 u_n = sortedBaseNN.begin();
2680 if ( theProxyMesh ) // from sortedBaseNN remove nodes not shared by faces of faceSubMesh
2682 const SMDS_MeshNode* n1 = (++sortedBaseNN.begin())->second;
2683 const SMDS_MeshNode* n2 = (++sortedBaseNN.rbegin())->second;
2684 bool allNodesAreProxy = ( n1 != theProxyMesh->GetProxyNode( n1 ) &&
2685 n2 != theProxyMesh->GetProxyNode( n2 ));
2686 if ( allNodesAreProxy )
2687 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2688 u_n->second = theProxyMesh->GetProxyNode( u_n->second );
2690 if ( u_n = sortedBaseNN.begin(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2692 while ( ++u_n != sortedBaseNN.end() && !isNodeInSubMesh( u_n->second, faceSubMesh ));
2693 sortedBaseNN.erase( sortedBaseNN.begin(), u_n );
2695 if ( !sortedBaseNN.empty() )
2696 if ( u_n = --sortedBaseNN.end(), !isNodeInSubMesh( u_n->second, faceSubMesh ))
2698 while ( u_n != sortedBaseNN.begin() && !isNodeInSubMesh( (--u_n)->second, faceSubMesh ));
2699 sortedBaseNN.erase( ++u_n, sortedBaseNN.end() );
2701 if ( sortedBaseNN.empty() ) continue;
2705 BRep_Tool::Range( *edge, f, l );
2706 if ( edge->Orientation() == TopAbs_REVERSED ) std::swap( f, l );
2707 const double coeff = 1. / ( l - f ) * length[iE] / fullLen;
2708 const double prevPar = theParam2ColumnMap.empty() ? 0 : theParam2ColumnMap.rbegin()->first;
2709 for ( u_n = sortedBaseNN.begin(); u_n != sortedBaseNN.end(); u_n++ )
2711 if ( u_n->second == prevEndNodes[0] ||
2712 u_n->second == prevEndNodes[1] )
2714 double par = prevPar + coeff * ( u_n->first - f );
2715 TParam2ColumnMap::iterator u2nn =
2716 theParam2ColumnMap.insert( theParam2ColumnMap.end(), make_pair( par, TNodeColumn()));
2717 u2nn->second.push_back( u_n->second );
2719 prevEndNodes[0] = sortedBaseNN.begin()->second;
2720 prevEndNodes[1] = sortedBaseNN.rbegin()->second;
2722 if ( theParam2ColumnMap.size() < 2 )
2727 size_t prevNbRows = theParam2ColumnMap.begin()->second.size(); // current, at least 1 here
2728 size_t expectNbRows = faceSubMesh->NbElements() / ( theParam2ColumnMap.size()-1 ); // to be added
2730 // fill theParam2ColumnMap column by column by passing from nodes on
2731 // theBaseEdge up via mesh faces on theFace
2733 TParam2ColumnMap::iterator par_nVec_1, par_nVec_2;
2734 par_nVec_2 = theParam2ColumnMap.begin();
2735 par_nVec_1 = par_nVec_2++;
2736 TIDSortedElemSet emptySet, avoidSet;
2737 for ( ; par_nVec_2 != theParam2ColumnMap.end(); ++par_nVec_1, ++par_nVec_2 )
2739 vector<const SMDS_MeshNode*>& nCol1 = par_nVec_1->second;
2740 vector<const SMDS_MeshNode*>& nCol2 = par_nVec_2->second;
2741 nCol1.resize( prevNbRows + expectNbRows );
2742 nCol2.resize( prevNbRows + expectNbRows );
2744 int i1, i2; size_t foundNbRows = 0;
2745 const SMDS_MeshNode *n1 = nCol1[ prevNbRows-1 ];
2746 const SMDS_MeshNode *n2 = nCol2[ prevNbRows-1 ];
2747 // find face sharing node n1 and n2 and belonging to faceSubMesh
2748 while ( const SMDS_MeshElement* face =
2749 SMESH_MeshAlgos::FindFaceInSet( n1, n2, emptySet, avoidSet, &i1, &i2))
2751 if ( faceSubMesh->Contains( face ))
2753 int nbNodes = face->NbCornerNodes();
2756 if ( foundNbRows + 1 > expectNbRows )
2758 n1 = face->GetNode( (i2+2) % 4 ); // opposite corner of quadrangle face
2759 n2 = face->GetNode( (i1+2) % 4 );
2760 nCol1[ prevNbRows + foundNbRows] = n1;
2761 nCol2[ prevNbRows + foundNbRows] = n2;
2764 avoidSet.insert( face );
2766 if ((size_t) foundNbRows != expectNbRows )
2770 return ( theParam2ColumnMap.size() > 1 &&
2771 theParam2ColumnMap.begin()->second.size() == prevNbRows + expectNbRows );
2774 //================================================================================
2776 * \brief Return true if a node is at a corner of a 2D structured mesh of FACE
2778 //================================================================================
2780 bool SMESH_MesherHelper::IsCornerOfStructure( const SMDS_MeshNode* n,
2781 const SMESHDS_SubMesh* faceSM,
2782 SMESH_MesherHelper& faceAnalyser )
2784 int nbFacesInSM = 0;
2786 SMDS_ElemIteratorPtr fIt = n->GetInverseElementIterator( SMDSAbs_Face );
2787 while ( fIt->more() )
2788 nbFacesInSM += faceSM->Contains( fIt->next() );
2790 if ( nbFacesInSM == 1 )
2793 if ( nbFacesInSM == 2 && n->GetPosition()->GetTypeOfPosition() == SMDS_TOP_VERTEX )
2795 return faceAnalyser.IsRealSeam( n->getshapeId() );
2800 //=======================================================================
2801 //function : IsStructured
2802 //purpose : Return true if 2D mesh on FACE is a structured rectangle
2803 //=======================================================================
2805 bool SMESH_MesherHelper::IsStructured( SMESH_subMesh* faceSM )
2807 SMESHDS_SubMesh* fSM = faceSM->GetSubMeshDS();
2808 if ( !fSM || fSM->NbElements() == 0 )
2811 list< TopoDS_Edge > edges;
2812 list< int > nbEdgesInWires;
2813 int nbWires = SMESH_Block::GetOrderedEdges( TopoDS::Face( faceSM->GetSubShape() ),
2814 edges, nbEdgesInWires );
2815 if ( nbWires != 1 /*|| nbEdgesInWires.front() != 4*/ ) // allow composite sides
2818 // algo: find corners of a structure and then analyze nb of faces and
2819 // length of structure sides
2821 SMESHDS_Mesh* meshDS = faceSM->GetFather()->GetMeshDS();
2822 SMESH_MesherHelper faceAnalyser( *faceSM->GetFather() );
2823 faceAnalyser.SetSubShape( faceSM->GetSubShape() );
2825 // rotate edges to get the first node being at corner
2826 // (in principle it's not necessary because so far none SALOME algo can make
2827 // such a structured mesh that all corner nodes are not on VERTEXes)
2828 bool isCorner = false;
2829 int nbRemainEdges = nbEdgesInWires.front();
2831 TopoDS_Vertex V = IthVertex( 0, edges.front() );
2832 isCorner = IsCornerOfStructure( SMESH_Algo::VertexNode( V, meshDS ),
2835 edges.splice( edges.end(), edges, edges.begin() );
2839 while ( !isCorner && nbRemainEdges > 0 );
2844 // get all nodes from EDGEs
2845 list< const SMDS_MeshNode* > nodes;
2846 list< TopoDS_Edge >::iterator edge = edges.begin();
2847 for ( ; edge != edges.end(); ++edge )
2849 map< double, const SMDS_MeshNode* > u2Nodes;
2850 if ( !SMESH_Algo::GetSortedNodesOnEdge( meshDS, *edge,
2851 /*skipMedium=*/true, u2Nodes ))
2854 list< const SMDS_MeshNode* > edgeNodes;
2855 map< double, const SMDS_MeshNode* >::iterator u2n = u2Nodes.begin();
2856 for ( ; u2n != u2Nodes.end(); ++u2n )
2857 edgeNodes.push_back( u2n->second );
2858 if ( edge->Orientation() == TopAbs_REVERSED )
2859 edgeNodes.reverse();
2861 if ( !nodes.empty() && nodes.back() == edgeNodes.front() )
2862 edgeNodes.pop_front();
2863 nodes.splice( nodes.end(), edgeNodes, edgeNodes.begin(), edgeNodes.end() );
2866 // get length of structured sides
2867 vector<int> nbEdgesInSide;
2869 list< const SMDS_MeshNode* >::iterator n = ++nodes.begin();
2870 for ( ; n != nodes.end(); ++n )
2873 if ( IsCornerOfStructure( *n, fSM, faceAnalyser )) {
2874 nbEdgesInSide.push_back( nbEdges );
2880 if ( nbEdgesInSide.size() != 4 )
2882 if ( nbEdgesInSide[0] != nbEdgesInSide[2] )
2884 if ( nbEdgesInSide[1] != nbEdgesInSide[3] )
2886 if ( nbEdgesInSide[0] * nbEdgesInSide[1] != fSM->NbElements() )
2892 //=======================================================================
2893 //function : IsDistorted2D
2894 //purpose : Return true if 2D mesh on FACE is ditorted
2895 //=======================================================================
2897 bool SMESH_MesherHelper::IsDistorted2D( SMESH_subMesh* faceSM,
2899 SMESH_MesherHelper* faceHelper)
2901 if ( !faceSM || faceSM->GetSubShape().ShapeType() != TopAbs_FACE )
2904 bool haveBadFaces = false;
2906 SMESH_MesherHelper helper( *faceSM->GetFather() );
2908 helper.CopySubShapeInfo( *faceHelper );
2909 helper.SetSubShape( faceSM->GetSubShape() );
2911 const TopoDS_Face& F = TopoDS::Face( faceSM->GetSubShape() );
2912 SMESHDS_SubMesh* smDS = helper.GetMeshDS()->MeshElements( F );
2913 if ( !smDS || smDS->NbElements() == 0 ) return false;
2915 bool subIdsValid = true; // shape ID of nodes is OK
2916 if ( helper.HasSeam() )
2918 // check if nodes are bound to seam edges
2919 SMESH_subMeshIteratorPtr smIt = faceSM->getDependsOnIterator(/*includeSelf=*/false);
2920 while ( smIt->more() && subIdsValid )
2922 SMESH_subMesh* sm = smIt->next();
2923 if ( helper.IsSeamShape( sm->GetId() ) && sm->IsEmpty() )
2924 subIdsValid = false;
2927 SMDS_ElemIteratorPtr faceIt = smDS->GetElements();
2928 double prevArea = 0;
2929 vector< const SMDS_MeshNode* > nodes;
2931 bool* toCheckUV = checkUV ? & checkUV : 0;
2932 while ( faceIt->more() && !haveBadFaces )
2934 const SMDS_MeshElement* face = faceIt->next();
2937 nodes.resize( face->NbCornerNodes() );
2938 SMDS_MeshElement::iterator n = face->begin_nodes();
2939 for ( size_t i = 0; i < nodes.size(); ++n, ++i )
2942 // avoid elems on degenerate shapes as UV on them can be wrong
2943 if ( helper.HasDegeneratedEdges() )
2945 bool isOnDegen = false;
2946 for ( size_t i = 0; ( i < nodes.size() && !isOnDegen ); ++i )
2947 isOnDegen = helper.IsDegenShape( nodes[ i ]->getshapeId() );
2951 // prepare for getting UVs
2952 const SMDS_MeshNode* inFaceNode = 0;
2953 if ( helper.HasSeam() ) {
2954 for ( size_t i = 0; ( i < nodes.size() && !inFaceNode ); ++i )
2955 if ( !helper.IsSeamShape( nodes[ i ]->getshapeId() ))
2957 inFaceNode = nodes[ i ];
2960 gp_XY uv = helper.GetNodeUV( F, inFaceNode );
2961 if ( helper.IsOnSeam( uv ))
2969 uv.resize( nodes.size() );
2970 for ( size_t i = 0; i < nodes.size(); ++i )
2971 uv[ i ] = helper.GetNodeUV( F, nodes[ i ], inFaceNode, toCheckUV );
2973 if ( !subIdsValid ) // fix uv on seam
2975 gp_XY uvInFace = helper.GetNodeUV( F, inFaceNode );
2976 for ( size_t i = 0; i < uv.size(); ++i )
2977 if ( helper.IsOnSeam( uv[i] ))
2978 uv[i] = helper.getUVOnSeam( uv[i], uvInFace ).XY();
2981 // compare orientation of triangles
2982 double faceArea = 0;
2983 for ( int iT = 0, nbT = nodes.size()-2; iT < nbT; ++iT )
2985 gp_XY v1 = uv[ iT+1 ] - uv[ 0 ];
2986 gp_XY v2 = uv[ iT+2 ] - uv[ 0 ];
2987 faceArea += v2 ^ v1;
2989 haveBadFaces = ( faceArea * prevArea < 0 );
2990 prevArea = faceArea;
2993 return haveBadFaces;
2996 //================================================================================
2998 * \brief Find out elements orientation on a geometrical face
2999 * \param theFace - The face correctly oriented in the shape being meshed
3000 * \retval bool - true if the face normal and the normal of first element
3001 * in the corresponding submesh point in different directions
3003 //================================================================================
3005 bool SMESH_MesherHelper::IsReversedSubMesh (const TopoDS_Face& theFace)
3007 if ( theFace.IsNull() )
3010 // find out orientation of a meshed face
3011 int faceID = GetMeshDS()->ShapeToIndex( theFace );
3012 TopoDS_Shape aMeshedFace = GetMeshDS()->IndexToShape( faceID );
3013 bool isReversed = ( theFace.Orientation() != aMeshedFace.Orientation() );
3015 const SMESHDS_SubMesh * aSubMeshDSFace = GetMeshDS()->MeshElements( faceID );
3016 if ( !aSubMeshDSFace )
3019 // find an element on a boundary of theFace
3020 SMDS_ElemIteratorPtr iteratorElem = aSubMeshDSFace->GetElements();
3021 const SMDS_MeshNode* nn[2];
3022 while ( iteratorElem->more() ) // loop on elements on theFace
3024 const SMDS_MeshElement* elem = iteratorElem->next();
3025 if ( ! elem ) continue;
3027 // look for 2 nodes on EDGE
3028 int nbNodes = elem->NbCornerNodes();
3029 nn[0] = elem->GetNode( nbNodes-1 );
3030 for ( int iN = 0; iN < nbNodes; ++iN )
3032 nn[1] = elem->GetNode( iN );
3033 if ( nn[0]->GetPosition()->GetDim() < 2 &&
3034 nn[1]->GetPosition()->GetDim() < 2 )
3036 TopoDS_Shape s0 = GetSubShapeByNode( nn[0], GetMeshDS() );
3037 TopoDS_Shape s1 = GetSubShapeByNode( nn[1], GetMeshDS() );
3038 TopoDS_Shape E = GetCommonAncestor( s0, s1, *myMesh, TopAbs_EDGE );
3039 if ( !E.IsNull() && !s0.IsSame( s1 ) && E.Orientation() != TopAbs_INTERNAL )
3043 for ( TopExp_Explorer exp( theFace, TopAbs_EDGE ); exp.More(); exp.Next() )
3044 if ( E.IsSame( exp.Current() )) {
3046 E = exp.Current(); // to know orientation
3051 double u0 = GetNodeU( TopoDS::Edge( E ), nn[0], nn[1], &ok );
3052 double u1 = GetNodeU( TopoDS::Edge( E ), nn[1], nn[0], &ok );
3055 // check that the 2 nodes are connected with a segment (IPAL53055)
3057 const SMDS_MeshElement* seg;
3058 if ( SMESHDS_SubMesh* sm = GetMeshDS()->MeshElements( E ))
3059 if (( sm->NbElements() > 0 ) &&
3060 ( seg = GetMeshDS()->FindEdge( nn[0], nn[1] )))
3061 ok = sm->Contains( seg );
3065 isReversed = ( u0 > u1 );
3066 if ( E.Orientation() == TopAbs_REVERSED )
3067 isReversed = !isReversed;
3077 // find an element with a good normal
3079 bool normalOK = false;
3081 iteratorElem = aSubMeshDSFace->GetElements();
3082 while ( !normalOK && iteratorElem->more() ) // loop on elements on theFace
3084 const SMDS_MeshElement* elem = iteratorElem->next();
3085 if ( ! SMESH_MeshAlgos::FaceNormal( elem, const_cast<gp_XYZ&>( Ne.XYZ() ), /*normalized=*/0 ))
3089 // get UV of a node inside theFACE
3090 SMDS_ElemIteratorPtr nodesIt = elem->nodesIterator();
3091 const SMDS_MeshNode* nInFace = 0;
3092 int iPosDim = SMDS_TOP_VERTEX;
3093 while ( nodesIt->more() ) // loop on nodes
3095 const SMDS_MeshNode* n = static_cast<const SMDS_MeshNode*>( nodesIt->next() );
3096 if ( n->GetPosition()->GetTypeOfPosition() >= iPosDim )
3099 iPosDim = n->GetPosition()->GetTypeOfPosition();
3102 uv = GetNodeUV( theFace, nInFace, 0, &normalOK );
3107 // face normal at node position
3108 TopLoc_Location loc;
3109 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace, loc );
3110 // if ( surf.IsNull() || surf->Continuity() < GeomAbs_C1 )
3111 // some surfaces not detected as GeomAbs_C1 are nevertheless correct for meshing
3112 if ( surf.IsNull() || surf->Continuity() < GeomAbs_C0 )
3115 gp_Vec d1u, d1v; gp_Pnt p;
3116 surf->D1( uv.X(), uv.Y(), p, d1u, d1v );
3117 gp_Vec Nf = (d1u ^ d1v).Transformed( loc );
3119 if ( theFace.Orientation() == TopAbs_REVERSED )
3122 return Ne * Nf < 0.;
3125 //=======================================================================
3127 //purpose : Count nb of sub-shapes
3128 //=======================================================================
3130 int SMESH_MesherHelper::Count(const TopoDS_Shape& shape,
3131 const TopAbs_ShapeEnum type,
3132 const bool ignoreSame)
3135 TopTools_IndexedMapOfShape map;
3136 TopExp::MapShapes( shape, type, map );
3137 return map.Extent();
3141 for ( TopExp_Explorer exp( shape, type ); exp.More(); exp.Next() )
3147 //=======================================================================
3148 //function : NbAncestors
3149 //purpose : Return number of unique ancestors of the shape
3150 //=======================================================================
3152 int SMESH_MesherHelper::NbAncestors(const TopoDS_Shape& shape,
3153 const SMESH_Mesh& mesh,
3154 TopAbs_ShapeEnum ancestorType/*=TopAbs_SHAPE*/)
3156 TopTools_MapOfShape ancestors;
3157 TopTools_ListIteratorOfListOfShape ansIt( mesh.GetAncestors(shape) );
3158 for ( ; ansIt.More(); ansIt.Next() ) {
3159 if ( ancestorType == TopAbs_SHAPE || ansIt.Value().ShapeType() == ancestorType )
3160 ancestors.Add( ansIt.Value() );
3162 return ancestors.Extent();
3165 //=======================================================================
3166 //function : GetSubShapeOri
3167 //purpose : Return orientation of sub-shape in the main shape
3168 //=======================================================================
3170 TopAbs_Orientation SMESH_MesherHelper::GetSubShapeOri(const TopoDS_Shape& shape,
3171 const TopoDS_Shape& subShape)
3173 TopAbs_Orientation ori = TopAbs_Orientation(-1);
3174 if ( !shape.IsNull() && !subShape.IsNull() )
3176 TopExp_Explorer e( shape, subShape.ShapeType() );
3177 if ( shape.Orientation() >= TopAbs_INTERNAL ) // TopAbs_INTERNAL or TopAbs_EXTERNAL
3178 e.Init( shape.Oriented(TopAbs_FORWARD), subShape.ShapeType() );
3179 for ( ; e.More(); e.Next())
3180 if ( subShape.IsSame( e.Current() ))
3183 ori = e.Current().Orientation();
3188 //=======================================================================
3189 //function : IsSubShape
3191 //=======================================================================
3193 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape,
3194 const TopoDS_Shape& mainShape )
3196 if ( !shape.IsNull() && !mainShape.IsNull() )
3198 for ( TopExp_Explorer exp( mainShape, shape.ShapeType());
3201 if ( shape.IsSame( exp.Current() ))
3207 //=======================================================================
3208 //function : IsSubShape
3210 //=======================================================================
3212 bool SMESH_MesherHelper::IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh )
3214 if ( shape.IsNull() || !aMesh )
3217 aMesh->GetMeshDS()->ShapeToIndex( shape ) ||
3219 (shape.ShapeType() == TopAbs_COMPOUND && aMesh->GetMeshDS()->IsGroupOfSubShapes( shape ));
3222 //=======================================================================
3223 //function : IsBlock
3225 //=======================================================================
3227 bool SMESH_MesherHelper::IsBlock( const TopoDS_Shape& shape )
3229 if ( shape.IsNull() )
3233 TopExp_Explorer exp( shape, TopAbs_SHELL );
3234 if ( !exp.More() ) return false;
3235 shell = TopoDS::Shell( exp.Current() );
3236 if ( exp.Next(), exp.More() ) return false;
3239 TopTools_IndexedMapOfOrientedShape map;
3240 return SMESH_Block::FindBlockShapes( shell, v, v, map );
3244 //================================================================================
3246 * \brief Return maximal tolerance of shape
3248 //================================================================================
3250 double SMESH_MesherHelper::MaxTolerance( const TopoDS_Shape& shape )
3252 double tol = Precision::Confusion();
3253 TopExp_Explorer exp;
3254 for ( exp.Init( shape, TopAbs_FACE ); exp.More(); exp.Next() )
3255 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Face( exp.Current())));
3256 for ( exp.Init( shape, TopAbs_EDGE ); exp.More(); exp.Next() )
3257 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Edge( exp.Current())));
3258 for ( exp.Init( shape, TopAbs_VERTEX ); exp.More(); exp.Next() )
3259 tol = Max( tol, BRep_Tool::Tolerance( TopoDS::Vertex( exp.Current())));
3264 //================================================================================
3266 * \brief Return MaxTolerance( face ), probably cached
3268 //================================================================================
3270 double SMESH_MesherHelper::getFaceMaxTol( const TopoDS_Shape& face ) const
3272 int faceID = GetMeshDS()->ShapeToIndex( face );
3274 SMESH_MesherHelper* me = const_cast< SMESH_MesherHelper* >( this );
3275 double & tol = me->myFaceMaxTol.insert( make_pair( faceID, -1. )).first->second;
3277 tol = MaxTolerance( face );
3282 //================================================================================
3284 * \brief Return an angle between two EDGEs sharing a common VERTEX with reference
3285 * of the FACE normal
3286 * \return double - the angle (between -Pi and Pi), negative if the angle is concave,
3287 * 1e100 in case of failure
3288 * \warning Care about order of the EDGEs and their orientation to be as they are
3289 * within the FACE! Don't pass degenerated EDGEs neither!
3291 //================================================================================
3293 double SMESH_MesherHelper::GetAngle( const TopoDS_Edge & theE1,
3294 const TopoDS_Edge & theE2,
3295 const TopoDS_Face & theFace,
3296 const TopoDS_Vertex & theCommonV,
3297 gp_Vec* theFaceNormal)
3299 double angle = 1e100;
3303 Handle(Geom_Curve) c1 = BRep_Tool::Curve( theE1, f,l );
3304 Handle(Geom_Curve) c2 = BRep_Tool::Curve( theE2, f,l );
3305 Handle(Geom2d_Curve) c2d1 = BRep_Tool::CurveOnSurface( theE1, theFace, f,l );
3306 Handle(Geom_Surface) surf = BRep_Tool::Surface( theFace );
3307 double p1 = BRep_Tool::Parameter( theCommonV, theE1 );
3308 double p2 = BRep_Tool::Parameter( theCommonV, theE2 );
3309 if ( c1.IsNull() || c2.IsNull() )
3311 gp_XY uv = c2d1->Value( p1 ).XY();
3312 gp_Vec du, dv; gp_Pnt p;
3313 surf->D1( uv.X(), uv.Y(), p, du, dv );
3314 gp_Vec vec1, vec2, vecRef = du ^ dv;
3317 while ( vecRef.SquareMagnitude() < 1e-25 )
3319 double dp = ( l - f ) / 1000.;
3320 p1tmp += dp * (( Abs( p1 - f ) > Abs( p1 - l )) ? -1. : +1.);
3321 uv = c2d1->Value( p1tmp ).XY();
3322 surf->D1( uv.X(), uv.Y(), p, du, dv );
3324 if ( ++nbLoops > 10 )
3327 MESSAGE("SMESH_MesherHelper::GetAngle(): Captured in a singularity");
3332 if ( theFace.Orientation() == TopAbs_REVERSED )
3334 if ( theFaceNormal ) *theFaceNormal = vecRef;
3336 c1->D1( p1, p, vec1 );
3337 c2->D1( p2, p, vec2 );
3338 // TopoDS_Face F = theFace;
3339 // if ( F.Orientation() == TopAbs_INTERNAL )
3340 // F.Orientation( TopAbs_FORWARD );
3341 if ( theE1.Orientation() /*GetSubShapeOri( F, theE1 )*/ == TopAbs_REVERSED )
3343 if ( theE2.Orientation() /*GetSubShapeOri( F, theE2 )*/ == TopAbs_REVERSED )
3345 angle = vec1.AngleWithRef( vec2, vecRef );
3347 if ( Abs ( angle ) >= 0.99 * M_PI )
3349 BRep_Tool::Range( theE1, f, l );
3350 p1 += 1e-7 * ( p1-f < l-p1 ? +1. : -1. );
3351 c1->D1( p1, p, vec1 );
3352 if ( theE1.Orientation() == TopAbs_REVERSED )
3354 BRep_Tool::Range( theE2, f, l );
3355 p2 += 1e-7 * ( p2-f < l-p2 ? +1. : -1. );
3356 c2->D1( p2, p, vec2 );
3357 if ( theE2.Orientation() == TopAbs_REVERSED )
3359 angle = vec1.AngleWithRef( vec2, vecRef );
3368 //================================================================================
3370 * \brief Check if the first and last vertices of an edge are the same
3371 * \param anEdge - the edge to check
3372 * \retval bool - true if same
3374 //================================================================================
3376 bool SMESH_MesherHelper::IsClosedEdge( const TopoDS_Edge& anEdge )
3378 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3379 return IsClosedEdge( TopoDS::Edge( anEdge.Oriented( TopAbs_FORWARD )));
3380 return TopExp::FirstVertex( anEdge ).IsSame( TopExp::LastVertex( anEdge ));
3383 //================================================================================
3385 * \brief Wrapper over TopExp::FirstVertex() and TopExp::LastVertex() fixing them
3386 * in the case of INTERNAL edge
3388 //================================================================================
3390 TopoDS_Vertex SMESH_MesherHelper::IthVertex( const bool is2nd,
3394 if ( anEdge.Orientation() >= TopAbs_INTERNAL )
3395 anEdge.Orientation( TopAbs_FORWARD );
3397 const TopAbs_Orientation tgtOri = is2nd ? TopAbs_REVERSED : TopAbs_FORWARD;
3398 TopoDS_Iterator vIt( anEdge, CumOri );
3399 while ( vIt.More() && vIt.Value().Orientation() != tgtOri )
3402 return ( vIt.More() ? TopoDS::Vertex(vIt.Value()) : TopoDS_Vertex() );
3405 //================================================================================
3407 * \brief Return type of shape contained in a group
3408 * \param group - a shape of type TopAbs_COMPOUND
3409 * \param avoidCompound - not to return TopAbs_COMPOUND
3411 //================================================================================
3413 TopAbs_ShapeEnum SMESH_MesherHelper::GetGroupType(const TopoDS_Shape& group,
3414 const bool avoidCompound)
3416 if ( !group.IsNull() )
3418 if ( group.ShapeType() != TopAbs_COMPOUND )
3419 return group.ShapeType();
3421 // iterate on a compound
3422 TopoDS_Iterator it( group );
3424 return avoidCompound ? GetGroupType( it.Value() ) : it.Value().ShapeType();
3426 return TopAbs_SHAPE;
3429 //================================================================================
3431 * \brief Returns a shape, to which a hypothesis used to mesh a given shape is assigned
3432 * \param [in] hyp - the hypothesis
3433 * \param [in] shape - the shape, for meshing which the \a hyp is used
3434 * \param [in] mesh - the mesh
3435 * \return TopoDS_Shape - the shape the \a hyp is assigned to
3437 //================================================================================
3439 TopoDS_Shape SMESH_MesherHelper::GetShapeOfHypothesis( const SMESHDS_Hypothesis * hyp,
3440 const TopoDS_Shape& shape,
3443 const SMESH_Hypothesis* h = static_cast<const SMESH_Hypothesis*>( hyp );
3444 SMESH_HypoFilter hypFilter( SMESH_HypoFilter::Is( h ));
3446 TopoDS_Shape shapeOfHyp;
3447 mesh->GetHypothesis( shape, hypFilter, /*checkAncestors=*/true, &shapeOfHyp );
3451 //=======================================================================
3452 //function : IsQuadraticMesh
3453 //purpose : Check mesh without geometry for: if all elements on this shape are quadratic,
3454 // quadratic elements will be created.
3455 // Used then generated 3D mesh without geometry.
3456 //=======================================================================
3458 SMESH_MesherHelper:: MType SMESH_MesherHelper::IsQuadraticMesh()
3460 smIdType NbAllEdgsAndFaces=0;
3461 smIdType NbQuadFacesAndEdgs=0;
3462 smIdType NbFacesAndEdges=0;
3463 //All faces and edges
3464 NbAllEdgsAndFaces = myMesh->NbEdges() + myMesh->NbFaces();
3465 if ( NbAllEdgsAndFaces == 0 )
3466 return SMESH_MesherHelper::LINEAR;
3468 //Quadratic faces and edges
3469 NbQuadFacesAndEdgs = myMesh->NbEdges(ORDER_QUADRATIC) + myMesh->NbFaces(ORDER_QUADRATIC);
3471 //Linear faces and edges
3472 NbFacesAndEdges = myMesh->NbEdges(ORDER_LINEAR) + myMesh->NbFaces(ORDER_LINEAR);
3474 if (NbAllEdgsAndFaces == NbQuadFacesAndEdgs) {
3476 return SMESH_MesherHelper::QUADRATIC;
3478 else if (NbAllEdgsAndFaces == NbFacesAndEdges) {
3480 return SMESH_MesherHelper::LINEAR;
3483 //Mesh with both type of elements
3484 return SMESH_MesherHelper::COMP;
3487 //=======================================================================
3488 //function : GetOtherParam
3489 //purpose : Return an alternative parameter for a node on seam
3490 //=======================================================================
3492 double SMESH_MesherHelper::GetOtherParam(const double param) const
3494 int i = myParIndex & U_periodic ? 0 : 1;
3495 return fabs(param-myPar1[i]) < fabs(param-myPar2[i]) ? myPar2[i] : myPar1[i];
3498 //=======================================================================
3499 //function : NbRealSeam
3500 //purpose : Return a number of real seam edges in the shape set through
3501 // IsQuadraticSubMesh() or SetSubShape(). A real seam edge encounters twice in a wire
3502 //=======================================================================
3504 size_t SMESH_MesherHelper::NbRealSeam() const
3508 std::set< int >::const_iterator id = mySeamShapeIds.begin();
3509 for ( ; id != mySeamShapeIds.end(); ++id )
3510 if ( *id < 0 ) ++nb;
3516 //=======================================================================
3517 //function : IsOnSeam
3518 //purpose : Check if UV is on seam. Return 0 if not, 1 for U seam, 2 for V seam
3519 //=======================================================================
3521 int SMESH_MesherHelper::IsOnSeam(const gp_XY& uv) const
3523 for ( int i = U_periodic; i <= V_periodic ; ++i )
3524 if ( myParIndex & i )
3526 double p = uv.Coord( i );
3527 double tol = ( myPar2[i-1] - myPar1[i-1] ) / 100.;
3528 if ( Abs( p - myPar1[i-1] ) < tol ||
3529 Abs( p - myPar2[i-1] ) < tol )
3537 //=======================================================================
3539 * \brief Iterator on ancestors of the given type
3541 //=======================================================================
3543 struct TAncestorsIterator : public SMDS_Iterator<const TopoDS_Shape*>
3545 TopTools_ListIteratorOfListOfShape _ancIter;
3546 TopAbs_ShapeEnum _type;
3547 TopTools_MapOfShape _encountered;
3548 TopTools_IndexedMapOfShape _allowed;
3549 TAncestorsIterator( const TopTools_ListOfShape& ancestors,
3550 TopAbs_ShapeEnum type,
3551 const TopoDS_Shape* container/* = 0*/)
3552 : _ancIter( ancestors ), _type( type )
3554 if ( container && !container->IsNull() )
3555 TopExp::MapShapes( *container, type, _allowed);
3556 if ( _ancIter.More() ) {
3557 if ( !isCurrentAllowed() ) next();
3558 else _encountered.Add( _ancIter.Value() );
3563 return _ancIter.More();
3565 virtual const TopoDS_Shape* next()
3567 const TopoDS_Shape* s = _ancIter.More() ? & _ancIter.Value() : 0;
3568 if ( _ancIter.More() )
3569 for ( _ancIter.Next(); _ancIter.More(); _ancIter.Next())
3570 if ( isCurrentAllowed() && _encountered.Add( _ancIter.Value() ))
3574 bool isCurrentAllowed()
3576 return (( _ancIter.Value().ShapeType() == _type ) &&
3577 ( _allowed.IsEmpty() || _allowed.Contains( _ancIter.Value() )));
3583 //=======================================================================
3585 * \brief Return iterator on ancestors of the given type, included into a container shape
3587 //=======================================================================
3589 PShapeIteratorPtr SMESH_MesherHelper::GetAncestors(const TopoDS_Shape& shape,
3590 const SMESH_Mesh& mesh,
3591 TopAbs_ShapeEnum ancestorType,
3592 const TopoDS_Shape* container)
3594 return PShapeIteratorPtr
3595 ( new TAncestorsIterator( mesh.GetAncestors(shape), ancestorType, container));
3598 //=======================================================================
3599 //function : GetCommonAncestor
3600 //purpose : Find a common ancestors of two shapes of the given type
3601 //=======================================================================
3603 TopoDS_Shape SMESH_MesherHelper::GetCommonAncestor(const TopoDS_Shape& shape1,
3604 const TopoDS_Shape& shape2,
3605 const SMESH_Mesh& mesh,
3606 TopAbs_ShapeEnum ancestorType)
3608 TopoDS_Shape commonAnc;
3609 if ( !shape1.IsNull() && !shape2.IsNull() )
3611 if ( shape1.ShapeType() == ancestorType && IsSubShape( shape2, shape1 ))
3613 if ( shape2.ShapeType() == ancestorType && IsSubShape( shape1, shape2 ))
3616 PShapeIteratorPtr ancIt = GetAncestors( shape1, mesh, ancestorType );
3617 while ( const TopoDS_Shape* anc = ancIt->next() )
3618 if ( IsSubShape( shape2, *anc ))
3627 //#include <Perf_Meter.hxx>
3629 //=======================================================================
3630 namespace { // Structures used by FixQuadraticElements()
3631 //=======================================================================
3633 #define __DMP__(txt) \
3635 #define MSG(txt) __DMP__(txt<<endl)
3636 #define MSGBEG(txt) __DMP__(txt)
3638 //const double straightTol2 = 1e-33; // to detect straing links
3639 bool isStraightLink(double linkLen2, double middleNodeMove2)
3641 // straight if <node move> < 1/15 * <link length>
3642 return middleNodeMove2 < 1/15./15. * linkLen2;
3646 // ---------------------------------------
3648 * \brief Quadratic link knowing its faces
3650 struct QLink: public SMESH_TLink
3652 const SMDS_MeshNode* _mediumNode;
3653 mutable vector<const QFace* > _faces;
3654 mutable gp_Vec _nodeMove;
3655 mutable int _nbMoves;
3656 mutable bool _is2dFixed; // is moved along surface or in 3D
3658 QLink(const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshNode* nm):
3659 SMESH_TLink( n1,n2 ), _mediumNode(nm), _nodeMove(0,0,0), _nbMoves(0) {
3661 _nodeMove = MediumPnt() - MiddlePnt();
3662 _is2dFixed = ( MediumPos() != SMDS_TOP_FACE );
3664 void SetContinuesFaces() const;
3665 const QFace* GetContinuesFace( const QFace* face ) const;
3666 bool OnBoundary() const;
3667 gp_XYZ MiddlePnt() const { return ( XYZ( node1() ) + XYZ( node2() )) / 2.; }
3668 gp_XYZ MediumPnt() const { return XYZ( _mediumNode ); }
3670 SMDS_TypeOfPosition MediumPos() const
3671 { return _mediumNode->GetPosition()->GetTypeOfPosition(); }
3672 SMDS_TypeOfPosition EndPos(bool isSecond) const
3673 { return (isSecond ? node2() : node1())->GetPosition()->GetTypeOfPosition(); }
3674 const SMDS_MeshNode* EndPosNode(SMDS_TypeOfPosition pos) const
3675 { return EndPos(0) == pos ? node1() : EndPos(1) == pos ? node2() : 0; }
3677 void Move(const gp_Vec& move, bool sum=false, bool is2dFixed=false) const
3678 { _nodeMove += move; _nbMoves += sum ? (_nbMoves==0) : 1; _is2dFixed |= is2dFixed; }
3679 gp_XYZ Move() const { return _nodeMove.XYZ() / _nbMoves; }
3680 bool IsMoved() const { return (_nbMoves > 0 /*&& !IsStraight()*/); }
3681 bool IsFixedOnSurface() const { return _is2dFixed; }
3682 bool IsStraight() const
3683 { return isStraightLink( (XYZ(node1())-XYZ(node2())).SquareModulus(),
3684 _nodeMove.SquareMagnitude());
3686 bool operator<(const QLink& other) const {
3687 return (node1()->GetID() == other.node1()->GetID() ?
3688 node2()->GetID() < other.node2()->GetID() :
3689 node1()->GetID() < other.node1()->GetID());
3691 // struct PtrComparator {
3692 // bool operator() (const QLink* l1, const QLink* l2 ) const { return *l1 < *l2; }
3695 // ---------------------------------------------------------
3697 * \brief Link in the chain of links; it connects two faces
3701 const QLink* _qlink;
3702 mutable const QFace* _qfaces[2];
3704 TChainLink(const QLink* qlink=0):_qlink(qlink) {
3705 _qfaces[0] = _qfaces[1] = 0;
3707 void SetFace(const QFace* face) const { int iF = _qfaces[0] ? 1 : 0; _qfaces[iF]=face; }
3709 bool IsBoundary() const { return !_qfaces[1]; }
3711 void RemoveFace( const QFace* face ) const
3712 { _qfaces[(face == _qfaces[1])] = 0; if (!_qfaces[0]) std::swap(_qfaces[0],_qfaces[1]); }
3714 const QFace* NextFace( const QFace* f ) const
3715 { return _qfaces[0]==f ? _qfaces[1] : _qfaces[0]; }
3717 const SMDS_MeshNode* NextNode( const SMDS_MeshNode* n ) const
3718 { return n == _qlink->node1() ? _qlink->node2() : _qlink->node1(); }
3720 bool operator<(const TChainLink& other) const { return *_qlink < *other._qlink; }
3722 operator bool() const { return (_qlink); }
3724 const QLink* operator->() const { return _qlink; }
3726 gp_Vec Normal() const;
3728 bool IsStraight() const;
3730 // --------------------------------------------------------------------
3731 typedef list< TChainLink > TChain;
3732 typedef set < TChainLink > TLinkSet;
3733 typedef TLinkSet::const_iterator TLinkInSet;
3735 const int theFirstStep = 5;
3737 enum { ERR_OK, ERR_TRI, ERR_PRISM, ERR_UNKNOWN }; // errors of QFace::GetLinkChain()
3738 // --------------------------------------------------------------------
3740 * \brief Quadratic face shared by two volumes and bound by QLinks
3742 struct QFace: public TIDSortedNodeSet
3744 mutable const SMDS_MeshElement* _volumes[2];
3745 mutable vector< const QLink* > _sides;
3746 mutable bool _sideIsAdded[4]; // added in chain of links
3749 mutable const SMDS_MeshElement* _face;
3752 QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face=0 );
3754 void SetVolume(const SMDS_MeshElement* v) const { _volumes[ _volumes[0] ? 1 : 0 ] = v; }
3756 int NbVolumes() const { return !_volumes[0] ? 0 : !_volumes[1] ? 1 : 2; }
3758 void AddSelfToLinks() const {
3759 for ( size_t i = 0; i < _sides.size(); ++i )
3760 _sides[i]->_faces.push_back( this );
3762 int LinkIndex( const QLink* side ) const {
3763 for (size_t i = 0; i<_sides.size(); ++i ) if ( _sides[i] == side ) return i;
3766 bool GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& err) const;
3768 bool GetLinkChain( TChainLink& link, TChain& chain, SMDS_TypeOfPosition pos, int& err) const
3770 int i = LinkIndex( link._qlink );
3771 if ( i < 0 ) return true;
3772 _sideIsAdded[i] = true;
3773 link.SetFace( this );
3774 // continue from opposite link
3775 return GetLinkChain( (i+2)%_sides.size(), chain, pos, err );
3777 bool IsBoundary() const { return !_volumes[1]; }
3779 bool Contains( const SMDS_MeshNode* node ) const { return count(node); }
3781 bool IsSpoiled(const QLink* bentLink ) const;
3783 TLinkInSet GetBoundaryLink( const TLinkSet& links,
3784 const TChainLink& avoidLink,
3785 TLinkInSet * notBoundaryLink = 0,
3786 const SMDS_MeshNode* nodeToContain = 0,
3787 bool * isAdjacentUsed = 0,
3788 int nbRecursionsLeft = -1) const;
3790 TLinkInSet GetLinkByNode( const TLinkSet& links,
3791 const TChainLink& avoidLink,
3792 const SMDS_MeshNode* nodeToContain) const;
3794 const SMDS_MeshNode* GetNodeInFace() const {
3795 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3796 if ( _sides[iL]->MediumPos() == SMDS_TOP_FACE ) return _sides[iL]->_mediumNode;
3800 gp_Vec LinkNorm(const int i, SMESH_MesherHelper* theFaceHelper=0) const;
3802 double MoveByBoundary( const TChainLink& theLink,
3803 const gp_Vec& theRefVec,
3804 const TLinkSet& theLinks,
3805 SMESH_MesherHelper* theFaceHelper=0,
3806 const double thePrevLen=0,
3807 const int theStep=theFirstStep,
3808 gp_Vec* theLinkNorm=0,
3809 double theSign=1.0) const;
3812 //================================================================================
3814 * \brief Dump QLink and QFace
3816 ostream& operator << (ostream& out, const QLink& l)
3818 out <<"QLink nodes: "
3819 << l.node1()->GetID() << " - "
3820 << l._mediumNode->GetID() << " - "
3821 << l.node2()->GetID() << endl;
3824 ostream& operator << (ostream& out, const QFace& f)
3826 out <<"QFace nodes: "/*<< &f << " "*/;
3827 for ( TIDSortedNodeSet::const_iterator n = f.begin(); n != f.end(); ++n )
3828 out << (*n)->GetID() << " ";
3829 out << " \tvolumes: "
3830 << (f._volumes[0] ? f._volumes[0]->GetID() : 0) << " "
3831 << (f._volumes[1] ? f._volumes[1]->GetID() : 0);
3832 out << " \tNormal: "<< f._normal.X() <<", "<<f._normal.Y() <<", "<<f._normal.Z() << endl;
3836 //================================================================================
3838 * \brief Construct QFace from QLinks
3840 //================================================================================
3842 QFace::QFace( const vector< const QLink*>& links, const SMDS_MeshElement* face )
3844 _volumes[0] = _volumes[1] = 0;
3846 _sideIsAdded[0]=_sideIsAdded[1]=_sideIsAdded[2]=_sideIsAdded[3]=false;
3847 _normal.SetCoord(0,0,0);
3848 for ( size_t i = 1; i < _sides.size(); ++i ) {
3849 const QLink *l1 = _sides[i-1], *l2 = _sides[i];
3850 insert( l1->node1() ); insert( l1->node2() );
3852 gp_Vec v1( XYZ( l1->node2()), XYZ( l1->node1()));
3853 gp_Vec v2( XYZ( l2->node1()), XYZ( l2->node2()));
3854 if ( l1->node1() != l2->node1() && l1->node2() != l2->node2() )
3858 double normSqSize = _normal.SquareMagnitude();
3859 if ( normSqSize > numeric_limits<double>::min() )
3860 _normal /= sqrt( normSqSize );
3862 _normal.SetCoord(1e-33,0,0);
3867 (void)face; // unused in release mode
3870 //================================================================================
3872 * \brief Make up a chain of links
3873 * \param iSide - link to add first
3874 * \param chain - chain to fill in
3875 * \param pos - position of medium nodes the links should have
3876 * \param error - out, specifies what is wrong
3877 * \retval bool - false if valid chain can't be built; "valid" means that links
3878 * of the chain belongs to rectangles bounding hexahedrons
3880 //================================================================================
3882 bool QFace::GetLinkChain( int iSide, TChain& chain, SMDS_TypeOfPosition pos, int& error) const
3884 if ( iSide >= (int)_sides.size() ) // wrong argument iSide
3886 if ( _sideIsAdded[ iSide ]) // already in chain
3889 if ( _sides.size() != 4 ) { // triangle - visit all my continuous faces
3892 list< const QFace* > faces( 1, this );
3893 while ( !faces.empty() ) {
3894 const QFace* face = faces.front();
3895 for ( size_t i = 0; i < face->_sides.size(); ++i ) {
3896 if ( !face->_sideIsAdded[i] && face->_sides[i] ) {
3897 face->_sideIsAdded[i] = true;
3898 // find a face side in the chain
3899 TLinkInSet chLink = links.insert( TChainLink(face->_sides[i])).first;
3900 // TChain::iterator chLink = chain.begin();
3901 // for ( ; chLink != chain.end(); ++chLink )
3902 // if ( chLink->_qlink == face->_sides[i] )
3904 // if ( chLink == chain.end() )
3905 // chLink = chain.insert( chain.begin(), TChainLink(face->_sides[i]));
3906 // add a face to a chained link and put a continues face in the queue
3907 chLink->SetFace( face );
3908 if ( face->_sides[i]->MediumPos() == pos )
3909 if ( const QFace* contFace = face->_sides[i]->GetContinuesFace( face ))
3910 if ( contFace->_sides.size() == 3 )
3911 faces.push_back( contFace );
3916 if ( error < ERR_TRI )
3918 chain.insert( chain.end(), links.begin(),links.end() );
3921 _sideIsAdded[iSide] = true; // not to add this link to chain again
3922 const QLink* link = _sides[iSide];
3926 // add link into chain
3927 TChain::iterator chLink = chain.insert( chain.begin(), TChainLink(link));
3928 chLink->SetFace( this );
3931 // propagate from a quadrangle to neighbour faces
3932 if ( link->MediumPos() >= pos ) {
3933 int nbLinkFaces = link->_faces.size();
3934 if ( nbLinkFaces == 4 || (/*nbLinkFaces < 4 && */link->OnBoundary())) {
3935 // hexahedral mesh or boundary quadrangles - goto a continuous face
3936 if ( const QFace* f = link->GetContinuesFace( this ))
3937 if ( f->_sides.size() == 4 )
3938 return f->GetLinkChain( *chLink, chain, pos, error );
3941 TChainLink chLink(link); // side face of prismatic mesh - visit all faces of iSide
3942 for ( int i = 0; i < nbLinkFaces; ++i )
3943 if ( link->_faces[i] )
3944 link->_faces[i]->GetLinkChain( chLink, chain, pos, error );
3945 if ( error < ERR_PRISM )
3953 //================================================================================
3955 * \brief Return a boundary link of the triangle face
3956 * \param links - set of all links
3957 * \param avoidLink - link not to return
3958 * \param notBoundaryLink - out, neither the returned link nor avoidLink
3959 * \param nodeToContain - node the returned link must contain; if provided, search
3960 * also performed on adjacent faces
3961 * \param isAdjacentUsed - returns true if link is found in adjacent faces
3962 * \param nbRecursionsLeft - to limit recursion
3964 //================================================================================
3966 TLinkInSet QFace::GetBoundaryLink( const TLinkSet& links,
3967 const TChainLink& avoidLink,
3968 TLinkInSet * notBoundaryLink,
3969 const SMDS_MeshNode* nodeToContain,
3970 bool * isAdjacentUsed,
3971 int nbRecursionsLeft) const
3973 TLinkInSet linksEnd = links.end(), boundaryLink = linksEnd;
3975 typedef list< pair< const QFace*, TLinkInSet > > TFaceLinkList;
3976 TFaceLinkList adjacentFaces;
3978 for ( size_t iL = 0; iL < _sides.size(); ++iL )
3980 if ( avoidLink._qlink == _sides[iL] )
3982 TLinkInSet link = links.find( _sides[iL] );
3983 if ( link == linksEnd ) continue;
3984 if ( (*link)->MediumPos() > SMDS_TOP_FACE )
3985 continue; // We work on faces here, don't go inside a solid
3988 if ( link->IsBoundary() ) {
3989 if ( !nodeToContain ||
3990 (*link)->node1() == nodeToContain ||
3991 (*link)->node2() == nodeToContain )
3993 boundaryLink = link;
3994 if ( !notBoundaryLink ) break;
3997 else if ( notBoundaryLink ) {
3998 *notBoundaryLink = link;
3999 if ( boundaryLink != linksEnd ) break;
4002 if ( boundaryLink == linksEnd && nodeToContain ) // collect adjacent faces
4003 if ( const QFace* adj = link->NextFace( this ))
4004 if ( adj->Contains( nodeToContain ))
4005 adjacentFaces.push_back( make_pair( adj, link ));
4008 if ( isAdjacentUsed ) *isAdjacentUsed = false;
4009 if ( boundaryLink == linksEnd && nodeToContain && nbRecursionsLeft) // check adjacent faces
4011 if ( nbRecursionsLeft < 0 )
4012 nbRecursionsLeft = nodeToContain->NbInverseElements();
4013 TFaceLinkList::iterator adj = adjacentFaces.begin();
4014 for ( ; boundaryLink == linksEnd && adj != adjacentFaces.end(); ++adj )
4015 boundaryLink = adj->first->GetBoundaryLink( links, *(adj->second), 0, nodeToContain,
4016 isAdjacentUsed, nbRecursionsLeft-1);
4017 if ( isAdjacentUsed ) *isAdjacentUsed = true;
4019 return boundaryLink;
4021 //================================================================================
4023 * \brief Return a link ending at the given node but not avoidLink
4025 //================================================================================
4027 TLinkInSet QFace::GetLinkByNode( const TLinkSet& links,
4028 const TChainLink& avoidLink,
4029 const SMDS_MeshNode* nodeToContain) const
4031 for ( size_t i = 0; i < _sides.size(); ++i )
4032 if ( avoidLink._qlink != _sides[i] &&
4033 (_sides[i]->node1() == nodeToContain || _sides[i]->node2() == nodeToContain ))
4034 return links.find( _sides[i] );
4038 //================================================================================
4040 * \brief Return normal to the i-th side pointing outside the face
4042 //================================================================================
4044 gp_Vec QFace::LinkNorm(const int i, SMESH_MesherHelper* /*uvHelper*/) const
4046 gp_Vec norm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4047 gp_XYZ pIn = ( _sides[ (i+1)%3 ]->MiddlePnt() +
4048 _sides[ (i+2)%3 ]->MiddlePnt() ) / 2.;
4049 gp_Vec vecOut = ( _sides[i]->MiddlePnt() - pIn );
4051 if ( norm * vecOut < 0 )
4053 double mag2 = norm.SquareMagnitude();
4054 if ( mag2 > numeric_limits<double>::min() )
4055 norm /= sqrt( mag2 );
4058 //================================================================================
4060 * \brief Move medium node of theLink according to its distance from boundary
4061 * \param theLink - link to fix
4062 * \param theRefVec - movement of boundary
4063 * \param theLinks - all adjacent links of continuous triangles
4064 * \param theFaceHelper - helper is not used so far
4065 * \param thePrevLen - distance from the boundary
4066 * \param theStep - number of steps till movement propagation limit
4067 * \param theLinkNorm - out normal to theLink
4068 * \param theSign - 1 or -1 depending on movement of boundary
4069 * \retval double - distance from boundary to propagation limit or other boundary
4071 //================================================================================
4073 double QFace::MoveByBoundary( const TChainLink& theLink,
4074 const gp_Vec& theRefVec,
4075 const TLinkSet& theLinks,
4076 SMESH_MesherHelper* theFaceHelper,
4077 const double thePrevLen,
4079 gp_Vec* theLinkNorm,
4080 double theSign) const
4083 return thePrevLen; // propagation limit reached
4085 size_t iL; // index of theLink
4086 for ( iL = 0; iL < _sides.size(); ++iL )
4087 if ( theLink._qlink == _sides[ iL ])
4090 MSG(string(theStep,'.')<<" Ref( "<<theRefVec.X()<<","<<theRefVec.Y()<<","<<theRefVec.Z()<<" )"
4091 <<" thePrevLen " << thePrevLen);
4092 MSG(string(theStep,'.')<<" "<<*theLink._qlink);
4094 gp_Vec linkNorm = -LinkNorm( iL/*, theFaceHelper*/ ); // normal to theLink
4095 double refProj = theRefVec * linkNorm; // project movement vector to normal of theLink
4096 if ( theStep == theFirstStep )
4097 theSign = refProj < 0. ? -1. : 1.;
4098 else if ( theSign * refProj < 0.4 * theRefVec.Magnitude())
4099 return thePrevLen; // to propagate movement forward only, not in side dir or backward
4101 int iL1 = (iL + 1) % 3, iL2 = (iL + 2) % 3; // indices of the two other links of triangle
4102 TLinkInSet link1 = theLinks.find( _sides[iL1] );
4103 TLinkInSet link2 = theLinks.find( _sides[iL2] );
4105 const QFace *f1 = 0, *f2 = 0; // adjacent faces
4106 bool isBndLink1 = true, isBndLink2 = true;
4107 if ( link1 != theLinks.end() && link2 != theLinks.end() )
4109 f1 = link1->NextFace( this );
4110 f2 = link2->NextFace( this );
4112 isBndLink1 = ( theLink->MediumPos() > (*link1)->MediumPos() );
4113 isBndLink2 = ( theLink->MediumPos() > (*link2)->MediumPos() );
4114 if ( theStep == theFirstStep ) // (issue 22541) quad-dominant mesh
4116 if ( !isBndLink1 && !f1 )
4117 f1 = (*link1)->GetContinuesFace( this ); // get a quadrangle face
4118 if ( !isBndLink2 && !f2 )
4119 f2 = (*link2)->GetContinuesFace( this );
4122 else if ( _sides.size() < 4 )
4125 // propagate to adjacent faces till limit step or boundary
4126 double len1 = thePrevLen + (theLink->MiddlePnt() - _sides[iL1]->MiddlePnt()).Modulus();
4127 double len2 = thePrevLen + (theLink->MiddlePnt() - _sides[iL2]->MiddlePnt()).Modulus();
4128 gp_Vec linkDir1(0,0,0); // initialize to avoid valgrind error ("Conditional jump...")
4129 gp_Vec linkDir2(0,0,0);
4132 if ( f1 && !isBndLink1 )
4133 len1 = f1->MoveByBoundary
4134 ( *link1, theRefVec, theLinks, theFaceHelper, len1, theStep-1, &linkDir1, theSign);
4136 linkDir1 = LinkNorm( iL1/*, theFaceHelper*/ );
4138 MSG( " --------------- EXCEPTION");
4143 if ( f2 && !isBndLink2 )
4144 len2 = f2->MoveByBoundary
4145 ( *link2, theRefVec, theLinks, theFaceHelper, len2, theStep-1, &linkDir2, theSign);
4147 linkDir2 = LinkNorm( iL2/*, theFaceHelper*/ );
4149 MSG( " --------------- EXCEPTION");
4154 if ( theStep != theFirstStep )
4156 // choose chain length by direction of propagation most codirected with theRefVec
4157 bool choose1 = ( theRefVec * linkDir1 * theSign > theRefVec * linkDir2 * theSign );
4158 fullLen = choose1 ? len1 : len2;
4159 double r = thePrevLen / fullLen;
4161 gp_Vec move = linkNorm * refProj * ( 1 - r );
4162 theLink->Move( move, /*sum=*/true );
4164 MSG(string(theStep,'.')<<" Move "<< theLink->_mediumNode->GetID()<<
4165 " by " << refProj * ( 1 - r ) << " following " <<
4166 (choose1 ? *link1->_qlink : *link2->_qlink)); // warning: link1 can be invalid
4168 if ( theLinkNorm ) *theLinkNorm = linkNorm;
4173 //================================================================================
4175 * \brief Checks if the face is distorted due to bentLink
4177 //================================================================================
4179 // bool QFace::IsSpoiled(const QLink* bentLink ) const
4181 // // code is valid for convex faces only
4182 // gp_XYZ gc(0,0,0);
4183 // for ( TIDSortedNodeSet::const_iterator n = begin(); n != end(); ++n )
4184 // gc += XYZ( *n ) / double( size() );
4185 // for ( size_t i = 0; i < _sides.size(); ++i )
4187 // if ( _sides[i] == bentLink ) continue;
4188 // gp_Vec linkNorm = _normal ^ gp_Vec( XYZ(_sides[i]->node1()), XYZ(_sides[i]->node2()));
4189 // gp_Vec vecOut( gc, _sides[i]->MiddlePnt() );
4190 // if ( linkNorm * vecOut < 0 )
4191 // linkNorm.Reverse();
4192 // double mag2 = linkNorm.SquareMagnitude();
4193 // if ( mag2 > numeric_limits<double>::min() )
4194 // linkNorm /= sqrt( mag2 );
4195 // gp_Vec vecBent ( _sides[i]->MiddlePnt(), bentLink->MediumPnt());
4196 // gp_Vec vecStraight( _sides[i]->MiddlePnt(), bentLink->MiddlePnt());
4197 // if ( vecBent * linkNorm > -0.1*vecStraight.Magnitude() )
4204 //================================================================================
4206 * \brief Find pairs of continues faces
4208 //================================================================================
4210 void QLink::SetContinuesFaces() const
4212 // x0 x - QLink, [-|] - QFace, v - volume
4214 // | Between _faces of link x2 two vertical faces are continues
4215 // x1----x2-----x3 and two horizontal faces are continues. We set vertical faces
4216 // | to _faces[0] and _faces[1] and horizontal faces to
4217 // v2 | v3 _faces[2] and _faces[3] (or vice versa).
4220 if ( _faces.empty() )
4222 int iFaceCont = -1, nbBoundary = 0, iBoundary[2]={-1,-1};
4223 if ( _faces[0]->IsBoundary() )
4224 iBoundary[ nbBoundary++ ] = 0;
4225 for ( size_t iF = 1; iFaceCont < 0 && iF < _faces.size(); ++iF )
4227 // look for a face bounding none of volumes bound by _faces[0]
4228 bool sameVol = false;
4229 int nbVol = _faces[iF]->NbVolumes();
4230 for ( int iV = 0; !sameVol && iV < nbVol; ++iV )
4231 sameVol = ( _faces[iF]->_volumes[iV] == _faces[0]->_volumes[0] ||
4232 _faces[iF]->_volumes[iV] == _faces[0]->_volumes[1]);
4235 if ( _faces[iF]->IsBoundary() )
4236 iBoundary[ nbBoundary++ ] = iF;
4238 // Set continues faces: arrange _faces to have
4239 // _faces[0] continues to _faces[1]
4240 // _faces[2] continues to _faces[3]
4241 if ( nbBoundary == 2 ) // bnd faces are continues
4243 if (( iBoundary[0] < 2 ) != ( iBoundary[1] < 2 ))
4245 int iNear0 = iBoundary[0] < 2 ? 1-iBoundary[0] : 5-iBoundary[0];
4246 std::swap( _faces[ iBoundary[1] ], _faces[iNear0] );
4249 else if ( iFaceCont > 0 ) // continues faces found
4251 if ( iFaceCont != 1 )
4252 std::swap( _faces[1], _faces[iFaceCont] );
4254 else if ( _faces.size() > 1 ) // not found, set NULL by the first face
4256 _faces.insert( ++_faces.begin(), (QFace*) 0 );
4259 //================================================================================
4261 * \brief Return a face continues to the given one
4263 //================================================================================
4265 const QFace* QLink::GetContinuesFace( const QFace* face ) const
4267 if ( _faces.size() <= 4 )
4268 for ( size_t i = 0; i < _faces.size(); ++i ) {
4269 if ( _faces[i] == face ) {
4270 int iF = i < 2 ? 1-i : 5-i;
4271 return iF < (int)_faces.size() ? _faces[iF] : 0;
4276 //================================================================================
4278 * \brief True if link is on mesh boundary
4280 //================================================================================
4282 bool QLink::OnBoundary() const
4284 for ( size_t i = 0; i < _faces.size(); ++i )
4285 if (_faces[i] && _faces[i]->IsBoundary()) return true;
4288 //================================================================================
4290 * \brief Return normal of link of the chain
4292 //================================================================================
4294 gp_Vec TChainLink::Normal() const {
4296 if (_qfaces[0]) norm = _qfaces[0]->_normal;
4297 if (_qfaces[1]) norm += _qfaces[1]->_normal;
4300 //================================================================================
4302 * \brief Test link curvature taking into account size of faces
4304 //================================================================================
4306 bool TChainLink::IsStraight() const
4308 bool isStraight = _qlink->IsStraight();
4309 if ( isStraight && _qfaces[0] && !_qfaces[1] )
4311 int i = _qfaces[0]->LinkIndex( _qlink );
4312 int iOpp = ( i + 2 ) % _qfaces[0]->_sides.size();
4313 gp_XYZ mid1 = _qlink->MiddlePnt();
4314 gp_XYZ mid2 = _qfaces[0]->_sides[ iOpp ]->MiddlePnt();
4315 double faceSize2 = (mid1-mid2).SquareModulus();
4316 isStraight = _qlink->_nodeMove.SquareMagnitude() < 1/10./10. * faceSize2;
4321 //================================================================================
4323 * \brief Move medium nodes of vertical links of pentahedrons adjacent by side faces
4325 //================================================================================
4327 void fixPrism( TChain& allLinks )
4329 // separate boundary links from internal ones
4330 typedef set<const QLink*/*, QLink::PtrComparator*/> QLinkSet;
4331 QLinkSet interLinks, bndLinks1, bndLink2;
4333 bool isCurved = false;
4334 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4335 if ( (*lnk)->OnBoundary() )
4336 bndLinks1.insert( lnk->_qlink );
4338 interLinks.insert( lnk->_qlink );
4339 isCurved = isCurved || !lnk->IsStraight();
4342 return; // no need to move
4344 QLinkSet *curBndLinks = &bndLinks1, *newBndLinks = &bndLink2;
4346 while ( !interLinks.empty() && !curBndLinks->empty() )
4348 // propagate movement from boundary links to connected internal links
4349 QLinkSet::iterator bnd = curBndLinks->begin(), bndEnd = curBndLinks->end();
4350 for ( ; bnd != bndEnd; ++bnd )
4352 const QLink* bndLink = *bnd;
4353 for ( size_t i = 0; i < bndLink->_faces.size(); ++i ) // loop on faces of bndLink
4355 const QFace* face = bndLink->_faces[i]; // quadrange lateral face of a prism
4356 if ( !face ) continue;
4357 // find and move internal link opposite to bndLink within the face
4358 int interInd = ( face->LinkIndex( bndLink ) + 2 ) % face->_sides.size();
4359 const QLink* interLink = face->_sides[ interInd ];
4360 QLinkSet::iterator pInterLink = interLinks.find( interLink );
4361 if ( pInterLink == interLinks.end() ) continue; // not internal link
4362 interLink->Move( bndLink->_nodeMove );
4363 // treated internal links become new boundary ones
4364 interLinks.erase( pInterLink );
4365 newBndLinks->insert( interLink );
4368 curBndLinks->clear();
4369 std::swap( curBndLinks, newBndLinks );
4373 //================================================================================
4375 * \brief Fix links of continues triangles near curved boundary
4377 //================================================================================
4379 void fixTriaNearBoundary( TChain & allLinks, SMESH_MesherHelper& /*helper*/)
4381 if ( allLinks.empty() ) return;
4383 TLinkSet linkSet( allLinks.begin(), allLinks.end());
4384 TLinkInSet linkIt = linkSet.begin(), linksEnd = linkSet.end();
4386 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt)
4388 if ( linkIt->IsBoundary() && !linkIt->IsStraight() && linkIt->_qfaces[0])
4390 // move iff a boundary link is bent towards inside of a face (issue 0021084)
4391 const QFace* face = linkIt->_qfaces[0];
4392 gp_XYZ pIn = ( face->_sides[0]->MiddlePnt() +
4393 face->_sides[1]->MiddlePnt() +
4394 face->_sides[2]->MiddlePnt() ) / 3.;
4395 gp_XYZ insideDir( pIn - (*linkIt)->MiddlePnt());
4396 bool linkBentInside = ((*linkIt)->_nodeMove.Dot( insideDir ) > 0 );
4397 //if ( face->IsSpoiled( linkIt->_qlink ))
4398 if ( linkBentInside )
4399 face->MoveByBoundary( *linkIt, (*linkIt)->_nodeMove, linkSet );
4404 //================================================================================
4406 * \brief Detect rectangular structure of links and build chains from them
4408 //================================================================================
4410 enum TSplitTriaResult {
4411 _OK, _NO_CORNERS, _FEW_ROWS, _MANY_ROWS, _NO_SIDELINK, _BAD_MIDQUAD, _NOT_RECT,
4412 _NO_MIDQUAD, _NO_UPTRIA, _BAD_SET_SIZE, _BAD_CORNER, _BAD_START, _NO_BOTLINK, _TWISTED_CHAIN };
4414 TSplitTriaResult splitTrianglesIntoChains( TChain & allLinks,
4415 vector< TChain> & resultChains,
4416 SMDS_TypeOfPosition pos )
4418 // put links in the set and evaluate number of result chains by number of boundary links
4420 size_t nbBndLinks = 0;
4421 for ( TChain::iterator lnk = allLinks.begin(); lnk != allLinks.end(); ++lnk ) {
4422 linkSet.insert( *lnk );
4423 nbBndLinks += lnk->IsBoundary();
4425 resultChains.clear();
4426 resultChains.reserve( nbBndLinks / 2 );
4428 TLinkInSet linkIt, linksEnd = linkSet.end();
4430 // find a boundary link with corner node; corner node has position pos-2
4431 // i.e. SMDS_TOP_VERTEX for links on faces and SMDS_TOP_EDGE for
4433 SMDS_TypeOfPosition cornerPos = SMDS_TypeOfPosition(pos-2);
4434 const SMDS_MeshNode* corner = 0;
4435 for ( linkIt = linkSet.begin(); linkIt != linksEnd; ++linkIt )
4436 if ( linkIt->IsBoundary() && (corner = (*linkIt)->EndPosNode(cornerPos)))
4441 TLinkInSet startLink = linkIt;
4442 const SMDS_MeshNode* startCorner = corner;
4443 vector< TChain* > rowChains;
4446 while ( startLink != linksEnd) // loop on columns
4448 // We suppose we have a rectangular structure like shown here. We have found a
4449 // corner of the rectangle (startCorner) and a boundary link sharing
4450 // |/ |/ | the startCorner (startLink). We are going to loop on rows of the
4451 // --o---o---o structure making several chains at once. One chain (columnChain)
4452 // |\ | /| starts at startLink and continues upward (we look at the structure
4453 // \ | \ | / | from such point that startLink is on the bottom of the structure).
4454 // \| \|/ | While going upward we also fill horizontal chains (rowChains) we
4455 // --o---o---o encounter.
4457 // / | \ | \ | startCorner
4462 if ( resultChains.size() == nbBndLinks / 2 )
4464 resultChains.push_back( TChain() );
4465 TChain& columnChain = resultChains.back();
4467 TLinkInSet botLink = startLink; // current horizontal link to go up from
4468 corner = startCorner; // current corner the botLink ends at
4470 while ( botLink != linksEnd ) // loop on rows
4472 // add botLink to the columnChain
4473 columnChain.push_back( *botLink );
4475 const QFace* botTria = botLink->_qfaces[0]; // bottom triangle bound by botLink
4477 { // the column ends
4478 if ( botLink == startLink )
4479 return _TWISTED_CHAIN; // issue 0020951
4480 linkSet.erase( botLink );
4481 if ( iRow != rowChains.size() )
4482 return _FEW_ROWS; // different nb of rows in columns
4485 // find the link dividing the quadrangle (midQuadLink) and vertical boundary
4486 // link ending at <corner> (sideLink); there are two cases:
4487 // 1) midQuadLink does not end at <corner>, then we easily find it by botTria,
4488 // since midQuadLink is not at boundary while sideLink is.
4489 // 2) midQuadLink ends at <corner>
4491 TLinkInSet midQuadLink = linksEnd;
4492 TLinkInSet sideLink = botTria->GetBoundaryLink( linkSet, *botLink, &midQuadLink,
4494 if ( isCase2 ) { // find midQuadLink among links of botTria
4495 midQuadLink = botTria->GetLinkByNode( linkSet, *botLink, corner );
4496 if ( midQuadLink->IsBoundary() )
4497 return _BAD_MIDQUAD;
4499 if ( sideLink == linksEnd || midQuadLink == linksEnd || sideLink == midQuadLink )
4500 return sideLink == linksEnd ? _NO_SIDELINK : _NO_MIDQUAD;
4503 columnChain.push_back( *midQuadLink );
4504 if ( iRow >= rowChains.size() ) {
4506 return _MANY_ROWS; // different nb of rows in columns
4507 if ( resultChains.size() == nbBndLinks / 2 )
4509 resultChains.push_back( TChain() );
4510 rowChains.push_back( & resultChains.back() );
4512 rowChains[iRow]->push_back( *sideLink );
4513 rowChains[iRow]->push_back( *midQuadLink );
4515 const QFace* upTria = midQuadLink->NextFace( botTria ); // upper tria of the rectangle
4519 // prepare startCorner and startLink for the next column
4520 startCorner = startLink->NextNode( startCorner );
4522 startLink = botTria->GetBoundaryLink( linkSet, *botLink, 0, startCorner );
4524 startLink = upTria->GetBoundaryLink( linkSet, *midQuadLink, 0, startCorner );
4525 // check if no more columns remains
4526 if ( startLink != linksEnd ) {
4527 const SMDS_MeshNode* botNode = startLink->NextNode( startCorner );
4528 if ( (isCase2 ? botTria : upTria)->Contains( botNode ))
4529 startLink = linksEnd; // startLink bounds upTria or botTria
4530 else if ( startLink == botLink || startLink == midQuadLink || startLink == sideLink )
4534 // find bottom link and corner for the next row
4535 corner = sideLink->NextNode( corner );
4536 // next bottom link ends at the new corner
4537 linkSet.erase( botLink );
4538 botLink = upTria->GetLinkByNode( linkSet, (isCase2 ? *sideLink : *midQuadLink), corner );
4539 if ( botLink == linksEnd || botLink == midQuadLink || botLink == sideLink)
4541 if ( midQuadLink == startLink || sideLink == startLink )
4542 return _TWISTED_CHAIN; // issue 0020951
4543 linkSet.erase( midQuadLink );
4544 linkSet.erase( sideLink );
4546 // make faces neighboring the found ones be boundary
4547 if ( startLink != linksEnd ) {
4548 const QFace* tria = isCase2 ? botTria : upTria;
4549 for ( int iL = 0; iL < 3; ++iL ) {
4550 linkIt = linkSet.find( tria->_sides[iL] );
4551 if ( linkIt != linksEnd )
4552 linkIt->RemoveFace( tria );
4555 if ( botLink->_qfaces[0] == upTria || botLink->_qfaces[1] == upTria )
4556 botLink->RemoveFace( upTria ); // make next botTria first in vector
4563 // In the linkSet, there must remain the last links of rowChains; add them
4564 if ( linkSet.size() != rowChains.size() )
4565 return _BAD_SET_SIZE;
4566 for ( size_t iRow = 0; iRow < rowChains.size(); ++iRow ) {
4567 // find the link (startLink) ending at startCorner
4569 for ( startLink = linkSet.begin(); startLink != linksEnd; ++startLink ) {
4570 if ( (*startLink)->node1() == startCorner ) {
4571 corner = (*startLink)->node2(); break;
4573 else if ( (*startLink)->node2() == startCorner) {
4574 corner = (*startLink)->node1(); break;
4577 if ( startLink == linksEnd )
4579 rowChains[ iRow ]->push_back( *startLink );
4580 linkSet.erase( startLink );
4581 startCorner = corner;
4587 //================================================================================
4589 * \brief Place medium nodes at the link middle for elements whose corner nodes
4590 * are out of geometrical boundary to prevent distorting elements.
4591 * Issue 0020982, note 0013990
4593 //================================================================================
4595 void force3DOutOfBoundary( SMESH_MesherHelper& theHelper,
4596 SMESH_ComputeErrorPtr& theError)
4598 SMESHDS_Mesh* meshDS = theHelper.GetMeshDS();
4599 TopoDS_Shape shape = theHelper.GetSubShape().Oriented( TopAbs_FORWARD );
4600 if ( shape.IsNull() ) return;
4602 if ( !dynamic_cast<SMESH_BadInputElements*>( theError.get() ))
4605 theError.reset( new SMESH_BadInputElements( meshDS ));
4607 theError.reset( new SMESH_BadInputElements( meshDS,
4609 theError->myComment,
4614 if ( shape.ShapeType() == TopAbs_FACE ) // 2D
4616 if ( theHelper.GetMesh()->NbTriangles( ORDER_QUADRATIC ) < 1 ) return;
4618 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( shape );
4619 if ( !faceSM ) return;
4621 const TopoDS_Face& face = TopoDS::Face( shape );
4622 Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
4624 TopExp_Explorer edgeIt( face, TopAbs_EDGE );
4625 for ( ; edgeIt.More(); edgeIt.Next() ) // loop on EDGEs of a FACE
4627 // check if the EDGE needs checking
4628 const TopoDS_Edge& edge = TopoDS::Edge( edgeIt.Current() );
4629 if ( SMESH_Algo::isDegenerated( edge ) )
4631 if ( theHelper.IsRealSeam( edge ) &&
4632 edge.Orientation() == TopAbs_REVERSED )
4635 SMESHDS_SubMesh* edgeSM = meshDS->MeshElements( edge );
4636 if ( !edgeSM ) continue;
4639 Handle(Geom2d_Curve) pcurve = BRep_Tool::CurveOnSurface( edge, face, f, l );
4640 BRepAdaptor_Curve curve3D( edge );
4641 switch ( curve3D.GetType() ) {
4642 case GeomAbs_Line: continue;
4643 case GeomAbs_Circle:
4644 case GeomAbs_Ellipse:
4645 case GeomAbs_Hyperbola:
4646 case GeomAbs_Parabola:
4649 gp_Vec D1, D2, Du1, Dv1; gp_Pnt p;
4650 curve3D.D2( 0.5 * ( f + l ), p, D1, D2 );
4651 gp_Pnt2d uv = pcurve->Value( 0.5 * ( f + l ) );
4652 surface->D1( uv.X(), uv.Y(), p, Du1, Dv1 );
4653 gp_Vec fNorm = Du1 ^ Dv1;
4654 if ( fNorm.IsParallel( D2, M_PI * 25./180. ))
4655 continue; // face is normal to the curve3D
4657 gp_Vec curvNorm = fNorm ^ D1;
4658 if ( edge.Orientation() == TopAbs_REVERSED ) curvNorm.Reverse();
4659 if ( curvNorm * D2 > 0 )
4660 continue; // convex edge
4662 catch ( Standard_Failure& )
4668 // get nodes shared by faces that may be distorted
4669 SMDS_NodeIteratorPtr nodeIt;
4670 if ( edgeSM->NbNodes() > 0 ) {
4671 nodeIt = edgeSM->GetNodes();
4674 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( theHelper.IthVertex( 0, edge ));
4676 vertexSM = meshDS->MeshElements( theHelper.IthVertex( 1, edge ));
4677 if ( !vertexSM ) continue;
4678 nodeIt = vertexSM->GetNodes();
4681 // find suspicious faces
4682 TIDSortedElemSet checkedFaces;
4683 vector< const SMDS_MeshNode* > nOnEdge( 2 );
4684 const SMDS_MeshNode* nOnFace;
4685 while ( nodeIt->more() )
4687 const SMDS_MeshNode* n = nodeIt->next();
4688 SMDS_ElemIteratorPtr faceIt = n->GetInverseElementIterator( SMDSAbs_Face );
4689 while ( faceIt->more() )
4691 const SMDS_MeshElement* f = faceIt->next();
4692 if ( !faceSM->Contains( f ) ||
4693 f->NbNodes() < 6 || // check quadratic triangles only
4695 !checkedFaces.insert( f ).second )
4698 // get nodes on EDGE and on FACE of a suspicious face
4699 nOnEdge.clear(); nOnFace = 0;
4700 SMDS_MeshElement::iterator triNode = f->begin_nodes();
4701 for ( int nbN = 0; nbN < 3; ++triNode, ++nbN )
4704 if ( n->GetPosition()->GetDim() == 2 )
4707 nOnEdge.push_back( n );
4710 // check if nOnFace is inside the FACE
4711 if ( nOnFace && nOnEdge.size() == 2 )
4713 theHelper.AddTLinks( static_cast< const SMDS_MeshFace* > ( f ));
4714 if ( !SMESH_MeshAlgos::FaceNormal( f, faceNorm, /*normalized=*/false ))
4716 gp_XYZ edgeDir = SMESH_TNodeXYZ( nOnEdge[0] ) - SMESH_TNodeXYZ( nOnEdge[1] );
4717 gp_XYZ edgeNorm = faceNorm ^ edgeDir;
4718 n = theHelper.GetMediumNode( nOnEdge[0], nOnEdge[1], true ); // find n, not create
4719 gp_XYZ pN0 = SMESH_TNodeXYZ( nOnEdge[0] );
4720 gp_XYZ pMedium = SMESH_TNodeXYZ( n ); // on-edge node location
4721 gp_XYZ pFaceN = SMESH_TNodeXYZ( nOnFace ); // on-face node location
4722 double hMedium = edgeNorm * gp_Vec( pN0, pMedium ).XYZ();
4723 double hFace = edgeNorm * gp_Vec( pN0, pFaceN ).XYZ();
4724 if ( Abs( hMedium ) > Abs( hFace * 0.6 ))
4726 // nOnFace is out of FACE, move a medium on-edge node to the middle
4727 gp_XYZ pMid3D = 0.5 * ( pN0 + SMESH_TNodeXYZ( nOnEdge[1] ));
4728 meshDS->MoveNode( n, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4729 MSG( "move OUT of face " << n );
4730 static_cast<SMESH_BadInputElements*>( theError.get() )->add( f );
4736 if ( theError->HasBadElems() )
4737 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4740 } // 2D ==============================================================================
4742 if ( shape.ShapeType() == TopAbs_SOLID ) // 3D
4744 if ( theHelper.GetMesh()->NbTetras ( ORDER_QUADRATIC ) < 1 &&
4745 theHelper.GetMesh()->NbPyramids( ORDER_QUADRATIC ) < 1 ) return;
4747 SMESHDS_SubMesh* solidSM = meshDS->MeshElements( shape );
4748 if ( !solidSM ) return;
4750 // check if the SOLID is bound by concave FACEs
4751 vector< TopoDS_Face > concaveFaces;
4752 TopExp_Explorer faceIt( shape, TopAbs_FACE );
4753 for ( ; faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4755 const TopoDS_Face& face = TopoDS::Face( faceIt.Current() );
4756 if ( !meshDS->MeshElements( face )) continue;
4758 BRepAdaptor_Surface surface( face );
4759 switch ( surface.GetType() ) {
4760 case GeomAbs_Plane: continue;
4761 case GeomAbs_Cylinder:
4763 case GeomAbs_Sphere:
4766 double u = 0.5 * ( surface.FirstUParameter() + surface.LastUParameter() );
4767 double v = 0.5 * ( surface.FirstVParameter() + surface.LastVParameter() );
4768 gp_Vec Du1, Dv1, Du2, Dv2, Duv2; gp_Pnt p;
4769 surface.D2( u,v, p, Du1, Dv1, Du2, Dv2, Duv2 );
4770 gp_Vec fNorm = Du1 ^ Dv1;
4771 if ( face.Orientation() == TopAbs_REVERSED ) fNorm.Reverse();
4772 bool concaveU = ( fNorm * Du2 > 1e-100 );
4773 bool concaveV = ( fNorm * Dv2 > 1e-100 );
4774 if ( concaveU || concaveV )
4775 concaveFaces.push_back( face );
4777 catch ( Standard_Failure& )
4779 concaveFaces.push_back( face );
4784 if ( concaveFaces.empty() )
4787 // fix 2D mesh on the SOLID
4788 for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4790 SMESH_MesherHelper faceHelper( *theHelper.GetMesh() );
4791 faceHelper.SetSubShape( faceIt.Current() );
4792 force3DOutOfBoundary( faceHelper, theError );
4795 // get an iterator over faces on concaveFaces
4796 vector< SMDS_ElemIteratorPtr > faceIterVec( concaveFaces.size() );
4797 for ( size_t i = 0; i < concaveFaces.size(); ++i )
4798 faceIterVec[i] = meshDS->MeshElements( concaveFaces[i] )->GetElements();
4799 typedef SMDS_IteratorOnIterators
4800 < const SMDS_MeshElement*, vector< SMDS_ElemIteratorPtr > > TIterOnIter;
4801 SMDS_ElemIteratorPtr faceIter( new TIterOnIter( faceIterVec ));
4803 // search to check if a volume is close to a concave face
4804 SMESHUtils::Deleter< SMESH_ElementSearcher > faceSearcher
4805 ( SMESH_MeshAlgos::GetElementSearcher( *theHelper.GetMeshDS(), faceIter ));
4808 //BRepClass3d_SolidClassifier solidClassifier( shape );
4810 TIDSortedElemSet checkedVols, movedNodes;
4811 //for ( faceIt.ReInit(); faceIt.More(); faceIt.Next() ) // loop on FACEs of a SOLID
4812 for ( size_t iF = 0; iF < concaveFaces.size(); ++iF ) // loop on concave FACEs
4814 //const TopoDS_Shape& face = faceIt.Current();
4815 const TopoDS_Shape& face = concaveFaces[ iF ];
4816 SMESHDS_SubMesh* faceSM = meshDS->MeshElements( face );
4817 if ( !faceSM ) continue;
4819 // get nodes shared by volumes (tet and pyra) on the FACE that may be distorted
4820 SMDS_NodeIteratorPtr nodeIt;
4821 if ( faceSM->NbNodes() > 0 ) {
4822 nodeIt = faceSM->GetNodes();
4825 TopExp_Explorer vertex( face, TopAbs_VERTEX );
4826 SMESHDS_SubMesh* vertexSM = meshDS->MeshElements( vertex.Current() );
4827 if ( !vertexSM ) continue;
4828 nodeIt = vertexSM->GetNodes();
4830 // get ids of sub-shapes of the FACE
4832 SMESH_subMeshIteratorPtr smIt =
4833 theHelper.GetMesh()->GetSubMesh( face )->getDependsOnIterator(/*includeSelf=*/true);
4834 while ( smIt->more() )
4835 subIDs.insert( smIt->next()->GetId() );
4837 // find suspicious volumes adjacent to the FACE
4838 vector< const SMDS_MeshNode* > nOnFace( 4 );
4839 const SMDS_MeshNode* nInSolid;
4840 while ( nodeIt->more() )
4842 const SMDS_MeshNode* n = nodeIt->next();
4843 SMDS_ElemIteratorPtr volIt = n->GetInverseElementIterator( SMDSAbs_Volume );
4844 while ( volIt->more() )
4846 const SMDS_MeshElement* vol = volIt->next();
4847 size_t nbN = vol->NbCornerNodes();
4848 if ( ( nbN != 4 && nbN != 5 ) ||
4849 !solidSM->Contains( vol ) ||
4850 !checkedVols.insert( vol ).second )
4853 // get nodes on FACE and in SOLID of a suspicious volume
4854 nOnFace.clear(); nInSolid = 0;
4855 SMDS_MeshElement::iterator volNode = vol->begin_nodes();
4856 for ( int nb = nbN; nb > 0; ++volNode, --nb )
4859 if ( n->GetPosition()->GetDim() == 3 )
4861 else if ( subIDs.count( n->getshapeId() ))
4862 nOnFace.push_back( n );
4866 if ( !nInSolid || nOnFace.size() != nbN - 1 )
4869 // get size of the vol
4870 SMESH_TNodeXYZ pInSolid( nInSolid ), pOnFace0( nOnFace[0] );
4871 double volLength = pInSolid.SquareDistance( nOnFace[0] );
4872 for ( size_t i = 1; i < nOnFace.size(); ++i )
4874 volLength = Max( volLength, pOnFace0.SquareDistance( nOnFace[i] ));
4877 // check if vol is close to concaveFaces
4878 const SMDS_MeshElement* closeFace =
4879 faceSearcher->FindClosestTo( pInSolid, SMDSAbs_Face );
4881 pInSolid.SquareDistance( closeFace->GetNode(0) ) > 4 * volLength )
4884 // check if vol is distorted, i.e. a medium node is much closer
4885 // to nInSolid than the link middle
4886 bool isDistorted = false;
4887 SMDS_FaceOfNodes onFaceTria( nOnFace[0], nOnFace[1], nOnFace[2] );
4888 if ( !SMESH_MeshAlgos::FaceNormal( &onFaceTria, faceNorm, /*normalized=*/false ))
4890 theHelper.AddTLinks( static_cast< const SMDS_MeshVolume* > ( vol ));
4891 vector< pair< SMESH_TLink, const SMDS_MeshNode* > > links;
4892 for ( size_t i = 0; i < nOnFace.size(); ++i ) // loop on links between nOnFace
4893 for ( size_t j = i+1; j < nOnFace.size(); ++j )
4895 SMESH_TLink link( nOnFace[i], nOnFace[j] );
4896 TLinkNodeMap::const_iterator linkIt =
4897 theHelper.GetTLinkNodeMap().find( link );
4898 if ( linkIt != theHelper.GetTLinkNodeMap().end() )
4900 links.push_back( make_pair( linkIt->first, linkIt->second ));
4901 if ( !isDistorted ) {
4902 // compare projections of nInSolid and nMedium to face normal
4903 gp_Pnt pMedium = SMESH_TNodeXYZ( linkIt->second );
4904 double hMedium = faceNorm * gp_Vec( pOnFace0, pMedium ).XYZ();
4905 double hVol = faceNorm * gp_Vec( pOnFace0, pInSolid ).XYZ();
4906 if ( Abs( hMedium ) > Abs( hVol * 0.75 ))
4908 SMESH_TNodeXYZ pI( nOnFace[i]), pJ( nOnFace[j]);
4909 double angle = gp_Vec( pI, pMedium ).Angle( gp_Vec( pI, pJ ));
4910 isDistorted = ( angle > M_PI / 20 );
4915 // move medium nodes to link middle
4918 for ( size_t i = 0; i < links.size(); ++i )
4920 const SMDS_MeshNode* nMedium = links[i].second;
4921 if ( movedNodes.insert( nMedium ).second )
4923 gp_Pnt pMid3D = 0.5 * ( SMESH_TNodeXYZ( links[i].first.node1() ) +
4924 SMESH_TNodeXYZ( links[i].first.node2() ));
4925 meshDS->MoveNode( nMedium, pMid3D.X(), pMid3D.Y(), pMid3D.Z() );
4926 MSG( "move OUT of solid " << nMedium );
4929 static_cast<SMESH_BadInputElements*>( theError.get() )->add( vol );
4931 } // loop on volumes sharing a node on FACE
4932 } // loop on nodes on FACE
4933 } // loop on FACEs of a SOLID
4935 if ( theError->HasBadElems() )
4936 theError->myName = EDITERR_NO_MEDIUM_ON_GEOM;
4942 //=======================================================================
4944 * \brief Move medium nodes of faces and volumes to fix distorted elements
4945 * \param error - container of fixed distorted elements
4946 * \param volumeOnly - to fix nodes on faces or not, if the shape is solid
4948 * Issue 0020307: EDF 992 SMESH : Linea/Quadratic with Medium Node on Geometry
4950 //=======================================================================
4952 void SMESH_MesherHelper::FixQuadraticElements(SMESH_ComputeErrorPtr& compError,
4955 //MESSAGE("FixQuadraticElements " << volumeOnly);
4956 // setenv NO_FixQuadraticElements to know if FixQuadraticElements() is guilty of bad conversion
4957 if ( getenv("NO_FixQuadraticElements") )
4960 // 0. Apply algorithm to SOLIDs or FACEs
4961 // ----------------------------------------------
4962 if ( myShape.IsNull() ) {
4963 if ( !myMesh->HasShapeToMesh() ) return;
4964 SetSubShape( myMesh->GetShapeToMesh() );
4968 TopTools_IndexedMapOfShape solids;
4969 TopExp::MapShapes(myShape,TopAbs_SOLID,solids);
4970 nbSolids = solids.Extent();
4972 TopTools_MapOfShape faces; // faces not in solid or in not meshed solid
4973 for ( TopExp_Explorer f(myShape,TopAbs_FACE,TopAbs_SOLID); f.More(); f.Next() ) {
4974 faces.Add( f.Current() ); // not in solid
4976 for ( TopExp_Explorer s(myShape,TopAbs_SOLID); s.More(); s.Next() ) {
4977 if ( myMesh->GetSubMesh( s.Current() )->IsEmpty() ) { // get faces of solid
4978 for ( TopExp_Explorer f( s.Current(), TopAbs_FACE); f.More(); f.Next() )
4979 faces.Add( f.Current() ); // in not meshed solid
4981 else { // fix nodes in the solid and its faces
4983 MSG("FIX SOLID " << nbSolids-- << " #" << GetMeshDS()->ShapeToIndex(s.Current()));
4985 SMESH_MesherHelper h(*myMesh);
4986 h.SetSubShape( s.Current() );
4987 h.ToFixNodeParameters(true);
4990 h.FixQuadraticElements( compError, false );
4993 if ( compError && compError->myComment.empty() )
4994 compError->myComment = "SMESH_MesherHelper::FixQuadraticElements() failed";
4998 // fix nodes on geom faces
5000 int nbfaces = nbSolids;
5001 nbfaces = faces.Extent(); /*avoid "unused varianbles": */ nbfaces++, nbfaces--;
5003 for ( TopTools_MapIteratorOfMapOfShape fIt( faces ); fIt.More(); fIt.Next() ) {
5004 MESSAGE("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
5005 MSG("FIX FACE " << nbfaces-- << " #" << GetMeshDS()->ShapeToIndex(fIt.Key()));
5006 SMESH_MesherHelper h(*myMesh);
5007 h.SetSubShape( fIt.Key() );
5008 h.ToFixNodeParameters(true);
5011 h.FixQuadraticElements( compError, true);
5014 if ( compError && compError->myComment.empty() )
5015 compError->myComment = "SMESH_MesherHelper::FixQuadraticElements() failed";
5018 //perf_print_all_meters(1);
5019 if ( compError && compError->myName == EDITERR_NO_MEDIUM_ON_GEOM )
5020 compError->myComment = "during conversion to quadratic, "
5021 "some medium nodes were not placed on geometry to avoid distorting elements";
5025 // 1. Find out type of elements and get iterator on them
5026 // ---------------------------------------------------
5028 SMDS_ElemIteratorPtr elemIt;
5029 SMDSAbs_ElementType elemType = SMDSAbs_All;
5031 SMESH_subMesh* submesh = myMesh->GetSubMeshContaining( myShapeID );
5034 if ( SMESHDS_SubMesh* smDS = submesh->GetSubMeshDS() ) {
5035 elemIt = smDS->GetElements();
5036 if ( elemIt->more() ) {
5037 elemType = elemIt->next()->GetType();
5038 elemIt = smDS->GetElements();
5041 if ( !elemIt || !elemIt->more() || elemType < SMDSAbs_Face )
5044 // 2. Fill in auxiliary data structures
5045 // ----------------------------------
5049 set< QLink >::iterator pLink;
5050 set< QFace >::iterator pFace;
5052 bool isCurved = false;
5053 //bool hasRectFaces = false;
5054 //set<int> nbElemNodeSet;
5055 SMDS_VolumeTool volTool;
5057 TIDSortedNodeSet apexOfPyramid;
5058 const int apexIndex = 4;
5061 // Move medium nodes to the link middle for elements whose corner nodes
5062 // are out of geometrical boundary to fix distorted elements.
5063 force3DOutOfBoundary( *this, compError );
5065 if ( elemType == SMDSAbs_Volume )
5067 while ( elemIt->more() ) // loop on volumes
5069 const SMDS_MeshElement* vol = elemIt->next();
5070 if ( !vol->IsQuadratic() || !volTool.Set( vol ))
5072 double volMinSize2 = -1.;
5073 for ( int iF = 0; iF < volTool.NbFaces(); ++iF ) // loop on faces of volume
5075 int nbN = volTool.NbFaceNodes( iF );
5076 //nbElemNodeSet.insert( nbN );
5077 const SMDS_MeshNode** faceNodes = volTool.GetFaceNodes( iF );
5078 vector< const QLink* > faceLinks( nbN/2 );
5079 for ( int iN = 0; iN < nbN; iN += 2 ) // loop on links of a face
5082 QLink link( faceNodes[iN], faceNodes[iN+2], faceNodes[iN+1] );
5083 pLink = links.insert( link ).first;
5084 faceLinks[ iN/2 ] = & *pLink;
5086 if ( link.MediumPos() == SMDS_TOP_3DSPACE )
5088 if ( !link.IsStraight() )
5089 return; // already fixed
5091 else if ( !isCurved )
5093 if ( volMinSize2 < 0 ) volMinSize2 = volTool.MinLinearSize2();
5094 isCurved = !isStraightLink( volMinSize2, link._nodeMove.SquareMagnitude() );
5098 pFace = faces.insert( QFace( faceLinks )).first;
5099 if ( pFace->NbVolumes() == 0 )
5100 pFace->AddSelfToLinks();
5101 pFace->SetVolume( vol );
5102 // hasRectFaces = hasRectFaces ||
5103 // ( volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_HEXA ||
5104 // volTool.GetVolumeType() == SMDS_VolumeTool::QUAD_PENTA );
5107 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],faceNodes[4]);
5109 pFace->_face = GetMeshDS()->FindFace(faceNodes[0],faceNodes[2],
5110 faceNodes[4],faceNodes[6] );
5113 // collect pyramid apexes for further correction
5114 if ( vol->NbCornerNodes() == 5 )
5115 apexOfPyramid.insert( vol->GetNode( apexIndex ));
5117 set< QLink >::iterator pLink = links.begin();
5118 for ( ; pLink != links.end(); ++pLink )
5119 pLink->SetContinuesFaces();
5123 while ( elemIt->more() ) // loop on faces
5125 const SMDS_MeshElement* face = elemIt->next();
5126 if ( !face->IsQuadratic() )
5128 //nbElemNodeSet.insert( face->NbNodes() );
5129 int nbN = face->NbNodes()/2;
5130 vector< const QLink* > faceLinks( nbN );
5131 for ( int iN = 0; iN < nbN; ++iN ) // loop on links of a face
5134 QLink link( face->GetNode(iN), face->GetNode((iN+1)%nbN), face->GetNode(iN+nbN) );
5135 pLink = links.insert( link ).first;
5136 faceLinks[ iN ] = & *pLink;
5138 link.node1()->GetPosition()->GetTypeOfPosition() < 2 &&
5139 link.node2()->GetPosition()->GetTypeOfPosition() < 2 )
5140 isCurved = !link.IsStraight();
5143 pFace = faces.insert( QFace( faceLinks )).first;
5144 pFace->AddSelfToLinks();
5145 //hasRectFaces = ( hasRectFaces || nbN == 4 );
5149 return; // no curved edges of faces
5151 // 3. Compute displacement of medium nodes
5152 // ---------------------------------------
5154 SMESH_MesherHelper faceHlp(*myMesh);
5156 // two loops on QFaces: the first is to treat boundary links, the second is for internal ones.
5157 TopLoc_Location loc;
5159 // not to treat boundary of volumic sub-mesh.
5160 int isInside = ( elemType == SMDSAbs_Volume && volumeOnly ) ? 1 : 0;
5161 for ( ; isInside < 2; ++isInside )
5163 MSG( "--------------- LOOP (inside=" << isInside << ") ------------------");
5164 SMDS_TypeOfPosition pos = isInside ? SMDS_TOP_3DSPACE : SMDS_TOP_FACE;
5165 SMDS_TypeOfPosition bndPos = isInside ? SMDS_TOP_FACE : SMDS_TOP_EDGE;
5167 for ( pFace = faces.begin(); pFace != faces.end(); ++pFace ) {
5168 if ( bool(isInside) == pFace->IsBoundary() )
5170 for ( int dir = 0; dir < 2; ++dir ) // 2 directions of propagation from the quadrangle
5173 // make chain of links connected via continues faces
5176 if ( !pFace->GetLinkChain( dir, rawChain, pos, error) && error ==ERR_UNKNOWN ) continue;
5178 if ( !pFace->GetLinkChain( dir+2, rawChain, pos, error ) && error ==ERR_UNKNOWN ) continue;
5180 vector< TChain > chains;
5181 if ( error == ERR_OK ) { // chain contains continues rectangles
5183 chains[0].splice( chains[0].begin(), rawChain );
5185 else if ( error == ERR_TRI ) { // chain contains continues triangles
5186 TSplitTriaResult res = splitTrianglesIntoChains( rawChain, chains, pos );
5187 if ( res != _OK ) { // not 'quadrangles split into triangles' in chain
5188 fixTriaNearBoundary( rawChain, *this );
5192 else if ( error == ERR_PRISM ) { // quadrangle side faces of prisms
5193 fixPrism( rawChain );
5199 for ( size_t iC = 0; iC < chains.size(); ++iC )
5201 TChain& chain = chains[iC];
5202 if ( chain.empty() ) continue;
5203 if ( chain.front().IsStraight() && chain.back().IsStraight() ) {
5204 MSG("3D straight - ignore");
5207 if ( chain.front()->MediumPos() > bndPos ||
5208 chain.back() ->MediumPos() > bndPos ) {
5209 MSG("Internal chain - ignore");
5212 // measure chain length and compute link position along the chain
5213 double chainLen = 0;
5214 vector< double > linkPos;
5215 TChain savedChain; // backup
5216 MSGBEG( "Link medium nodes: ");
5217 TChain::iterator link0 = chain.begin(), link1 = chain.begin(), link2;
5218 for ( ++link1; link1 != chain.end(); ++link1, ++link0 ) {
5219 MSGBEG( (*link0)->_mediumNode->GetID() << "-" <<(*link1)->_mediumNode->GetID()<<" ");
5220 double len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5221 while ( len < numeric_limits<double>::min() ) { // remove degenerated link
5222 if ( savedChain.empty() ) savedChain = chain;
5223 link1 = chain.erase( link1 );
5224 if ( link1 == chain.end() ) {
5225 link1 = --chain.end();
5228 len = ((*link0)->MiddlePnt() - (*link1)->MiddlePnt()).Modulus();
5231 linkPos.push_back( chainLen );
5234 if ( linkPos.size() <= 2 && savedChain.size() > 2 ) {
5239 for ( link1 = chain.begin(); link1 != chain.end(); ++link1 ) {
5241 linkPos.push_back( chainLen );
5244 if ( chain.begin() == --chain.end() ) // chain.size() == 1
5247 gp_Vec move0 = chain.front()->_nodeMove;
5248 gp_Vec move1 = chain.back ()->_nodeMove;
5253 // compute node displacement of end links of chain in parametric space of FACE
5254 TChainLink& linkOnFace = *(++chain.begin());
5255 const SMDS_MeshNode* nodeOnFace = linkOnFace->_mediumNode;
5256 TopoDS_Shape f = GetSubShapeByNode( nodeOnFace, GetMeshDS() );
5257 if ( !f.IsNull() && f.ShapeType() == TopAbs_FACE )
5259 face = TopoDS::Face( f );
5260 faceHlp.SetSubShape( face );
5261 Handle(Geom_Surface) surf = BRep_Tool::Surface(face,loc);
5262 //bool isStraight[2]; // commented for issue 0023118
5263 for ( int is1 = 0; is1 < 2; ++is1 ) // move0 or move1
5265 TChainLink& link = is1 ? chain.back() : chain.front();
5266 gp_XY uvm = faceHlp.GetNodeUV( face, link->_mediumNode, nodeOnFace, &checkUV );
5267 gp_XY uv1 = faceHlp.GetNodeUV( face, link->node1(), nodeOnFace, &checkUV );
5268 gp_XY uv2 = faceHlp.GetNodeUV( face, link->node2(), nodeOnFace, &checkUV );
5269 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5270 // uvMove = uvm - uv12
5271 gp_XY uvMove = ApplyIn2D(surf, uvm, uv12, gp_XY_Subtracted, /*inPeriod=*/false);
5272 ( is1 ? move1 : move0 ).SetCoord( uvMove.X(), uvMove.Y(), 0 );
5273 if ( !is1 ) // correct nodeOnFace for move1 (issue 0020919)
5274 nodeOnFace = (*(++chain.rbegin()))->_mediumNode;
5275 // isStraight[is1] = isStraightLink( (uv2-uv1).SquareModulus(),
5276 // 10 * uvMove.SquareModulus());
5278 // if ( isStraight[0] && isStraight[1] ) {
5279 // MSG("2D straight - ignore");
5280 // continue; // straight - no need to move nodes of internal links
5283 // check if a chain is already fixed
5284 gp_XY uvm = faceHlp.GetNodeUV( face, linkOnFace->_mediumNode, 0, &checkUV );
5285 gp_XY uv1 = faceHlp.GetNodeUV( face, linkOnFace->node1(), nodeOnFace, &checkUV );
5286 gp_XY uv2 = faceHlp.GetNodeUV( face, linkOnFace->node2(), nodeOnFace, &checkUV );
5287 gp_XY uv12 = faceHlp.GetMiddleUV( surf, uv1, uv2 );
5288 if (( uvm - uv12 ).SquareModulus() > 1e-10 )
5290 MSG("Already fixed - ignore");
5296 if ( isInside || face.IsNull() )
5298 // compute node displacement of end links in their local coord systems
5300 TChainLink& ln0 = chain.front(), ln1 = *(++chain.begin());
5301 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln0.Normal(),
5302 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5303 move0.Transform(trsf);
5306 TChainLink& ln0 = *(++chain.rbegin()), ln1 = chain.back();
5307 trsf.SetTransformation( gp_Ax3( gp::Origin(), ln1.Normal(),
5308 gp_Vec( ln0->MiddlePnt(), ln1->MiddlePnt() )));
5309 move1.Transform(trsf);
5312 // compute displacement of medium nodes
5313 link2 = chain.begin();
5316 for ( int i = 0; link2 != chain.end(); ++link0, ++link1, ++link2, ++i )
5318 double r = linkPos[i] / chainLen;
5319 // displacement in local coord system
5320 gp_Vec move = (1. - r) * move0 + r * move1;
5321 if ( isInside || face.IsNull()) {
5322 // transform to global
5323 gp_Vec x01( (*link0)->MiddlePnt(), (*link1)->MiddlePnt() );
5324 gp_Vec x12( (*link1)->MiddlePnt(), (*link2)->MiddlePnt() );
5326 gp_Vec x = x01.Normalized() + x12.Normalized();
5327 trsf.SetTransformation( gp_Ax3( gp::Origin(), link1->Normal(), x), gp_Ax3() );
5328 } catch ( Standard_Failure& ) {
5331 move.Transform(trsf);
5332 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/false );
5335 // compute 3D displacement by 2D one
5336 Handle(Geom_Surface) s = BRep_Tool::Surface(face,loc);
5337 gp_XY oldUV = faceHlp.GetNodeUV( face, (*link1)->_mediumNode, 0, &checkUV );
5338 gp_XY newUV = ApplyIn2D( s, oldUV, gp_XY( move.X(),move.Y()), gp_XY_Added );
5339 gp_Pnt newPnt = s->Value( newUV.X(), newUV.Y());
5340 move = gp_Vec( XYZ((*link1)->_mediumNode), newPnt.Transformed(loc) );
5341 if ( SMDS_FacePositionPtr nPos = (*link1)->_mediumNode->GetPosition())
5342 nPos->SetParameters( newUV.X(), newUV.Y() );
5344 if ( (XYZ((*link1)->node1()) - XYZ((*link1)->node2())).SquareModulus() <
5345 move.SquareMagnitude())
5347 gp_XY uv0 = faceHlp.GetNodeUV( face, (*link0)->_mediumNode, 0, &checkUV );
5348 gp_XY uv2 = faceHlp.GetNodeUV( face, (*link2)->_mediumNode, 0, &checkUV );
5349 MSG( "TOO LONG MOVE \t" <<
5350 "uv0: "<<uv0.X()<<", "<<uv0.Y()<<" \t" <<
5351 "uv2: "<<uv2.X()<<", "<<uv2.Y()<<" \t" <<
5352 "uvOld: "<<oldUV.X()<<", "<<oldUV.Y()<<" \t" <<
5353 "newUV: "<<newUV.X()<<", "<<newUV.Y()<<" \t");
5354 uv0.SetX( uv2.X() ); // avoid warning: variable set but not used
5357 (*link1)->Move( move, /*sum=*/false, /*is2dFixed=*/true );
5359 MSG( "Move " << (*link1)->_mediumNode->GetID() << " following "
5360 << chain.front()->_mediumNode->GetID() <<"-"
5361 << chain.back ()->_mediumNode->GetID() <<
5362 " by " << move.Magnitude());
5364 } // loop on chains of links
5365 } // loop on 2 directions of propagation from quadrangle
5367 } // fix faces and/or volumes
5372 TIDSortedElemSet biQuadQuas, biQuadTris, triQuadHexa, biQuadPenta;
5373 const bool toFixCentralNodes = ( myMesh->NbBiQuadQuadrangles() +
5374 myMesh->NbBiQuadTriangles() +
5375 myMesh->NbTriQuadraticHexas() +
5376 myMesh->NbBiQuadPrisms());
5378 faceHlp.ToFixNodeParameters( true );
5380 for ( pLink = links.begin(); pLink != links.end(); ++pLink ) {
5381 if ( pLink->IsMoved() )
5383 gp_Pnt p = pLink->MiddlePnt() + pLink->Move();
5385 // put on surface nodes on FACE but moved in 3D (23050)
5386 if ( !pLink->IsFixedOnSurface() )
5388 faceHlp.SetSubShape( pLink->_mediumNode->getshapeId() );
5389 if ( faceHlp.GetSubShape().ShapeType() == TopAbs_FACE )
5391 const_cast<SMDS_MeshNode*>( pLink->_mediumNode )->setXYZ( p.X(), p.Y(), p.Z());
5392 p.Coord( distXYZ[1], distXYZ[2], distXYZ[3] );
5393 gp_XY uv( Precision::Infinite(), 0 );
5394 if ( faceHlp.CheckNodeUV( TopoDS::Face( faceHlp.GetSubShape() ), pLink->_mediumNode,
5395 uv, /*tol=*/pLink->Move().Modulus(), /*force=*/true, distXYZ ))
5396 p.SetCoord( distXYZ[1], distXYZ[2], distXYZ[3] );
5399 GetMeshDS()->MoveNode( pLink->_mediumNode, p.X(), p.Y(), p.Z());
5401 // collect bi-quadratic elements
5402 if ( toFixCentralNodes )
5404 SMDS_ElemIteratorPtr eIt = pLink->_mediumNode->GetInverseElementIterator();
5405 while ( eIt->more() )
5407 const SMDS_MeshElement* e = eIt->next();
5408 switch( e->GetEntityType() ) {
5409 case SMDSEntity_BiQuad_Quadrangle: biQuadQuas.insert( e ); break;
5410 case SMDSEntity_BiQuad_Triangle: biQuadTris.insert( e ); break;
5411 case SMDSEntity_TriQuad_Hexa: triQuadHexa.insert( e ); break;
5412 case SMDSEntity_BiQuad_Penta: biQuadPenta.insert( e ); break;
5419 // Fix positions of central nodes of bi-tri-quadratic elements
5421 // treat bi-quad quadrangles
5423 vector< const SMDS_MeshNode* > nodes( 9 );
5425 TIDSortedElemSet::iterator quadIt = biQuadQuas.begin();
5426 for ( ; quadIt != biQuadQuas.end(); ++quadIt )
5428 const SMDS_MeshElement* quad = *quadIt;
5431 nodes.assign( quad->begin_nodes(), quad->end_nodes() );
5433 TopoDS_Shape S = GetSubShapeByNode( nodes.back(), GetMeshDS() );
5434 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5435 const TopoDS_Face& F = TopoDS::Face( S );
5436 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5437 const double tol = BRep_Tool::Tolerance( F );
5439 for ( int i = 0; i < 8; ++i )
5441 uv[ i ] = GetNodeUV( F, nodes[i], nodes[8], &checkUV );
5442 // as this method is used after mesh generation, UV of nodes is not
5443 // updated according to bending links, so we update
5444 if ( i > 3 && nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5445 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5447 AdjustByPeriod( F, uv, 8 ); // put uv[] within a period (IPAL52698)
5448 // move the central node
5449 gp_XY uvCent = calcTFI (0.5, 0.5, uv[0],uv[1],uv[2],uv[3],uv[4],uv[5],uv[6],uv[7] );
5450 gp_Pnt p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5451 GetMeshDS()->MoveNode( nodes[8], p.X(), p.Y(), p.Z());
5455 // treat bi-quad triangles
5457 vector< const SMDS_MeshNode* > nodes;
5459 TIDSortedElemSet::iterator triIt = biQuadTris.begin();
5460 for ( ; triIt != biQuadTris.end(); ++triIt )
5462 const SMDS_MeshElement* tria = *triIt;
5464 const TopoDS_Shape& S = GetMeshDS()->IndexToShape( tria->getshapeId() );
5465 if ( S.IsNull() || S.ShapeType() != TopAbs_FACE ) continue;
5466 const TopoDS_Face& F = TopoDS::Face( S );
5467 Handle( Geom_Surface ) surf = BRep_Tool::Surface( F, loc );
5468 const double tol = BRep_Tool::Tolerance( F );
5471 nodes.assign( tria->begin_nodes(), tria->end_nodes() );
5473 bool uvOK = true, badTria = false;
5474 for ( int i = 0; i < 6; ++i )
5476 uv[ i ] = GetNodeUV( F, nodes[i], nodes[(i+1)%3], &uvOK );
5477 // as this method is used after mesh generation, UV of nodes is not
5478 // updated according to bending links, so we update
5479 if ( nodes[i]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_FACE )
5480 CheckNodeUV( F, nodes[i], uv[ i ], 2*tol, /*force=*/true );
5483 // move the central node
5485 if ( !uvOK || badTria )
5487 p = ( SMESH_TNodeXYZ( nodes[3] ) +
5488 SMESH_TNodeXYZ( nodes[4] ) +
5489 SMESH_TNodeXYZ( nodes[5] )) / 3;
5493 AdjustByPeriod( F, uv, 6 ); // put uv[] within a period (IPAL52698)
5494 gp_XY uvCent = GetCenterUV( uv[0], uv[1], uv[2], uv[3], uv[4], uv[5], &badTria );
5495 p = surf->Value( uvCent.X(), uvCent.Y() ).Transformed( loc );
5497 GetMeshDS()->MoveNode( tria->GetNode(6), p.X(), p.Y(), p.Z() );
5501 // treat tri-quadratic hexahedra
5503 SMDS_VolumeTool volExp;
5504 TIDSortedElemSet::iterator hexIt = triQuadHexa.begin();
5505 for ( ; hexIt != triQuadHexa.end(); ++hexIt )
5507 volExp.Set( *hexIt, /*ignoreCentralNodes=*/false );
5509 // fix nodes central in sides
5510 for ( int iQuad = 0; iQuad < volExp.NbFaces(); ++iQuad )
5512 const SMDS_MeshNode** quadNodes = volExp.GetFaceNodes( iQuad );
5513 if ( quadNodes[8]->GetPosition()->GetTypeOfPosition() == SMDS_TOP_3DSPACE )
5515 gp_XYZ p = calcTFI( 0.5, 0.5,
5516 SMESH_TNodeXYZ( quadNodes[0] ), SMESH_TNodeXYZ( quadNodes[2] ),
5517 SMESH_TNodeXYZ( quadNodes[4] ), SMESH_TNodeXYZ( quadNodes[6] ),
5518 SMESH_TNodeXYZ( quadNodes[1] ), SMESH_TNodeXYZ( quadNodes[3] ),
5519 SMESH_TNodeXYZ( quadNodes[5] ), SMESH_TNodeXYZ( quadNodes[7] ));
5520 GetMeshDS()->MoveNode( quadNodes[8], p.X(), p.Y(), p.Z());
5524 // fix the volume central node
5525 vector<gp_XYZ> pointsOnShapes( SMESH_Block::ID_Shell );
5526 const SMDS_MeshNode** hexNodes = volExp.GetNodes();
5528 pointsOnShapes[ SMESH_Block::ID_V000 ] = SMESH_TNodeXYZ( hexNodes[ 0 ] );
5529 pointsOnShapes[ SMESH_Block::ID_V100 ] = SMESH_TNodeXYZ( hexNodes[ 3 ] );
5530 pointsOnShapes[ SMESH_Block::ID_V010 ] = SMESH_TNodeXYZ( hexNodes[ 1 ] );
5531 pointsOnShapes[ SMESH_Block::ID_V110 ] = SMESH_TNodeXYZ( hexNodes[ 2 ] );
5532 pointsOnShapes[ SMESH_Block::ID_V001 ] = SMESH_TNodeXYZ( hexNodes[ 4 ] );
5533 pointsOnShapes[ SMESH_Block::ID_V101 ] = SMESH_TNodeXYZ( hexNodes[ 7 ] );
5534 pointsOnShapes[ SMESH_Block::ID_V011 ] = SMESH_TNodeXYZ( hexNodes[ 5 ] );
5535 pointsOnShapes[ SMESH_Block::ID_V111 ] = SMESH_TNodeXYZ( hexNodes[ 6 ] );
5537 pointsOnShapes[ SMESH_Block::ID_Ex00 ] = SMESH_TNodeXYZ( hexNodes[ 11 ] );
5538 pointsOnShapes[ SMESH_Block::ID_Ex10 ] = SMESH_TNodeXYZ( hexNodes[ 9 ] );
5539 pointsOnShapes[ SMESH_Block::ID_E0y0 ] = SMESH_TNodeXYZ( hexNodes[ 8 ] );
5540 pointsOnShapes[ SMESH_Block::ID_E1y0 ] = SMESH_TNodeXYZ( hexNodes[ 10 ] );
5541 pointsOnShapes[ SMESH_Block::ID_Ex01 ] = SMESH_TNodeXYZ( hexNodes[ 15 ] );
5542 pointsOnShapes[ SMESH_Block::ID_Ex11 ] = SMESH_TNodeXYZ( hexNodes[ 13 ] );
5543 pointsOnShapes[ SMESH_Block::ID_E0y1 ] = SMESH_TNodeXYZ( hexNodes[ 12 ] );
5544 pointsOnShapes[ SMESH_Block::ID_E1y1 ] = SMESH_TNodeXYZ( hexNodes[ 14 ] );
5545 pointsOnShapes[ SMESH_Block::ID_E00z ] = SMESH_TNodeXYZ( hexNodes[ 16 ] );
5546 pointsOnShapes[ SMESH_Block::ID_E10z ] = SMESH_TNodeXYZ( hexNodes[ 19 ] );
5547 pointsOnShapes[ SMESH_Block::ID_E01z ] = SMESH_TNodeXYZ( hexNodes[ 17 ] );
5548 pointsOnShapes[ SMESH_Block::ID_E11z ] = SMESH_TNodeXYZ( hexNodes[ 18 ] );
5550 pointsOnShapes[ SMESH_Block::ID_Fxy0 ] = SMESH_TNodeXYZ( hexNodes[ 20 ] );
5551 pointsOnShapes[ SMESH_Block::ID_Fxy1 ] = SMESH_TNodeXYZ( hexNodes[ 25 ] );
5552 pointsOnShapes[ SMESH_Block::ID_Fx0z ] = SMESH_TNodeXYZ( hexNodes[ 21 ] );
5553 pointsOnShapes[ SMESH_Block::ID_Fx1z ] = SMESH_TNodeXYZ( hexNodes[ 23 ] );
5554 pointsOnShapes[ SMESH_Block::ID_F0yz ] = SMESH_TNodeXYZ( hexNodes[ 24 ] );
5555 pointsOnShapes[ SMESH_Block::ID_F1yz ] = SMESH_TNodeXYZ( hexNodes[ 22 ] );
5557 gp_XYZ nCenterParams(0.5, 0.5, 0.5), nCenterCoords;
5558 SMESH_Block::ShellPoint( nCenterParams, pointsOnShapes, nCenterCoords );
5559 GetMeshDS()->MoveNode( hexNodes[26],
5560 nCenterCoords.X(), nCenterCoords.Y(), nCenterCoords.Z());
5563 // treat tri-quadratic hexahedra
5565 SMDS_VolumeTool volExp;
5566 TIDSortedElemSet::iterator pentIt = biQuadPenta.begin();
5567 for ( ; pentIt != biQuadPenta.end(); ++pentIt )
5570 volExp.Set( *pentIt, /*ignoreCentralNodes=*/false );
5575 // avoid warning: defined but not used operator<<()
5576 SMESH_Comment() << *links.begin() << *faces.begin();
5581 //================================================================================
5585 //================================================================================
5587 void SMESH_MesherHelper::WriteShape(const TopoDS_Shape& s)
5589 const char* name = "/tmp/shape.brep";
5590 BRepTools::Write( s, name );