+ //================================================================================
+ /*!
+ * \brief Return the maximal box
+ */
+ //================================================================================
+
+ Bnd_B3d* ElementBndBoxTree::buildRootBox()
+ {
+ Bnd_B3d* box = new Bnd_B3d;
+ for ( int i = 0; i < _elements.size(); ++i )
+ box->Add( *_elements[i] );
+ return box;
+ }
+
+ //================================================================================
+ /*!
+ * \brief Redistrubute element boxes among children
+ */
+ //================================================================================
+
+ void ElementBndBoxTree::buildChildrenData()
+ {
+ for ( int i = 0; i < _elements.size(); ++i )
+ {
+ for (int j = 0; j < 8; j++)
+ {
+ if ( !_elements[i]->IsOut( myChildren[j]->getBox() ))
+ {
+ _elements[i]->_refCount++;
+ ((ElementBndBoxTree*)myChildren[j])->_elements.push_back( _elements[i]);
+ }
+ }
+ _elements[i]->_refCount--;
+ }
+ _elements.clear();
+
+ for (int j = 0; j < 8; j++)
+ {
+ ElementBndBoxTree* child = static_cast<ElementBndBoxTree*>( myChildren[j]);
+ if ( child->_elements.size() <= MaxNbElemsInLeaf )
+ child->myIsLeaf = true;
+
+ if ( child->_elements.capacity() - child->_elements.size() > 1000 )
+ child->_elements.resize( child->_elements.size() ); // compact
+ }
+ }
+
+ //================================================================================
+ /*!
+ * \brief Return elements which can include the point
+ */
+ //================================================================================
+
+ void ElementBndBoxTree::getElementsNearPoint( const gp_Pnt& point,
+ TIDSortedElemSet& foundElems)
+ {
+ if ( level() && getBox().IsOut( point.XYZ() ))
+ return;
+
+ if ( isLeaf() )
+ {
+ for ( int i = 0; i < _elements.size(); ++i )
+ if ( !_elements[i]->IsOut( point.XYZ() ))
+ foundElems.insert( _elements[i]->_element );
+ }
+ else
+ {
+ for (int i = 0; i < 8; i++)
+ ((ElementBndBoxTree*) myChildren[i])->getElementsNearPoint( point, foundElems );
+ }
+ }
+
+ //================================================================================
+ /*!
+ * \brief Return elements which can be intersected by the line
+ */
+ //================================================================================
+
+ void ElementBndBoxTree::getElementsNearLine( const gp_Ax1& line,
+ TIDSortedElemSet& foundElems)
+ {
+ if ( level() && getBox().IsOut( line ))
+ return;
+
+ if ( isLeaf() )
+ {
+ for ( int i = 0; i < _elements.size(); ++i )
+ if ( !_elements[i]->IsOut( line ))
+ foundElems.insert( _elements[i]->_element );
+ }
+ else
+ {
+ for (int i = 0; i < 8; i++)
+ ((ElementBndBoxTree*) myChildren[i])->getElementsNearLine( line, foundElems );
+ }
+ }
+
+ //================================================================================
+ /*!
+ * \brief Construct the element box
+ */
+ //================================================================================
+
+ ElementBndBoxTree::ElementBox::ElementBox(const SMDS_MeshElement* elem, double tolerance)
+ {
+ _element = elem;
+ _refCount = 1;
+ SMDS_ElemIteratorPtr nIt = elem->nodesIterator();
+ while ( nIt->more() )
+ Add( SMESH_TNodeXYZ( cast2Node( nIt->next() )));
+ Enlarge( tolerance );
+ }
+
+} // namespace
+
+//=======================================================================
+/*!
+ * \brief Implementation of search for the elements by point and
+ * of classification of point in 2D mesh
+ */
+//=======================================================================
+
+struct SMESH_ElementSearcherImpl: public SMESH_ElementSearcher
+{
+ SMESHDS_Mesh* _mesh;
+ SMDS_ElemIteratorPtr _meshPartIt;
+ ElementBndBoxTree* _ebbTree;
+ SMESH_NodeSearcherImpl* _nodeSearcher;
+ SMDSAbs_ElementType _elementType;
+ double _tolerance;
+ bool _outerFacesFound;
+ set<const SMDS_MeshElement*> _outerFaces; // empty means "no internal faces at all"
+
+ SMESH_ElementSearcherImpl( SMESHDS_Mesh& mesh, SMDS_ElemIteratorPtr elemIt=SMDS_ElemIteratorPtr())
+ : _mesh(&mesh),_meshPartIt(elemIt),_ebbTree(0),_nodeSearcher(0),_tolerance(-1),_outerFacesFound(false) {}
+ ~SMESH_ElementSearcherImpl()
+ {
+ if ( _ebbTree ) delete _ebbTree; _ebbTree = 0;
+ if ( _nodeSearcher ) delete _nodeSearcher; _nodeSearcher = 0;
+ }
+ virtual int FindElementsByPoint(const gp_Pnt& point,
+ SMDSAbs_ElementType type,
+ vector< const SMDS_MeshElement* >& foundElements);
+ virtual TopAbs_State GetPointState(const gp_Pnt& point);
+
+ void GetElementsNearLine( const gp_Ax1& line,
+ SMDSAbs_ElementType type,
+ vector< const SMDS_MeshElement* >& foundElems);
+ double getTolerance();
+ bool getIntersParamOnLine(const gp_Lin& line, const SMDS_MeshElement* face,
+ const double tolerance, double & param);
+ void findOuterBoundary(const SMDS_MeshElement* anyOuterFace);
+ bool isOuterBoundary(const SMDS_MeshElement* face) const
+ {
+ return _outerFaces.empty() || _outerFaces.count(face);
+ }
+ struct TInters //!< data of intersection of the line and the mesh face (used in GetPointState())
+ {
+ const SMDS_MeshElement* _face;
+ gp_Vec _faceNorm;
+ bool _coincides; //!< the line lays in face plane
+ TInters(const SMDS_MeshElement* face, const gp_Vec& faceNorm, bool coinc=false)
+ : _face(face), _faceNorm( faceNorm ), _coincides( coinc ) {}
+ };
+ struct TFaceLink //!< link and faces sharing it (used in findOuterBoundary())
+ {
+ SMESH_TLink _link;
+ TIDSortedElemSet _faces;
+ TFaceLink( const SMDS_MeshNode* n1, const SMDS_MeshNode* n2, const SMDS_MeshElement* face)
+ : _link( n1, n2 ), _faces( &face, &face + 1) {}
+ };
+};
+
+ostream& operator<< (ostream& out, const SMESH_ElementSearcherImpl::TInters& i)
+{
+ return out << "TInters(face=" << ( i._face ? i._face->GetID() : 0)
+ << ", _coincides="<<i._coincides << ")";
+}
+
+//=======================================================================
+/*!
+ * \brief define tolerance for search
+ */
+//=======================================================================
+
+double SMESH_ElementSearcherImpl::getTolerance()
+{
+ if ( _tolerance < 0 )
+ {
+ const SMDS_MeshInfo& meshInfo = _mesh->GetMeshInfo();
+
+ _tolerance = 0;
+ if ( _nodeSearcher && meshInfo.NbNodes() > 1 )
+ {
+ double boxSize = _nodeSearcher->getTree()->maxSize();
+ _tolerance = 1e-8 * boxSize/* / meshInfo.NbNodes()*/;
+ }
+ else if ( _ebbTree && meshInfo.NbElements() > 0 )
+ {
+ double boxSize = _ebbTree->maxSize();
+ _tolerance = 1e-8 * boxSize/* / meshInfo.NbElements()*/;
+ }
+ if ( _tolerance == 0 )
+ {
+ // define tolerance by size of a most complex element
+ int complexType = SMDSAbs_Volume;
+ while ( complexType > SMDSAbs_All &&
+ meshInfo.NbElements( SMDSAbs_ElementType( complexType )) < 1 )
+ --complexType;
+ if ( complexType == SMDSAbs_All ) return 0; // empty mesh
+ double elemSize;
+ if ( complexType == int( SMDSAbs_Node ))
+ {
+ SMDS_NodeIteratorPtr nodeIt = _mesh->nodesIterator();
+ elemSize = 1;
+ if ( meshInfo.NbNodes() > 2 )
+ elemSize = SMESH_TNodeXYZ( nodeIt->next() ).Distance( nodeIt->next() );
+ }
+ else
+ {
+ SMDS_ElemIteratorPtr elemIt =
+ _mesh->elementsIterator( SMDSAbs_ElementType( complexType ));
+ const SMDS_MeshElement* elem = elemIt->next();
+ SMDS_ElemIteratorPtr nodeIt = elem->nodesIterator();
+ SMESH_TNodeXYZ n1( cast2Node( nodeIt->next() ));
+ elemSize = 0;
+ while ( nodeIt->more() )
+ {
+ double dist = n1.Distance( cast2Node( nodeIt->next() ));
+ elemSize = max( dist, elemSize );
+ }
+ }
+ _tolerance = 1e-4 * elemSize;
+ }
+ }
+ return _tolerance;
+}
+
+//================================================================================
+/*!
+ * \brief Find intersection of the line and an edge of face and return parameter on line
+ */
+//================================================================================
+
+bool SMESH_ElementSearcherImpl::getIntersParamOnLine(const gp_Lin& line,
+ const SMDS_MeshElement* face,
+ const double tol,
+ double & param)
+{
+ int nbInts = 0;
+ param = 0;
+
+ GeomAPI_ExtremaCurveCurve anExtCC;
+ Handle(Geom_Curve) lineCurve = new Geom_Line( line );
+
+ int nbNodes = face->IsQuadratic() ? face->NbNodes()/2 : face->NbNodes();
+ for ( int i = 0; i < nbNodes && nbInts < 2; ++i )
+ {
+ GC_MakeSegment edge( SMESH_TNodeXYZ( face->GetNode( i )),
+ SMESH_TNodeXYZ( face->GetNode( (i+1)%nbNodes) ));
+ anExtCC.Init( lineCurve, edge);
+ if ( anExtCC.NbExtrema() > 0 && anExtCC.LowerDistance() <= tol)
+ {
+ Quantity_Parameter pl, pe;
+ anExtCC.LowerDistanceParameters( pl, pe );
+ param += pl;
+ if ( ++nbInts == 2 )
+ break;
+ }
+ }
+ if ( nbInts > 0 ) param /= nbInts;
+ return nbInts > 0;
+}
+//================================================================================
+/*!
+ * \brief Find all faces belonging to the outer boundary of mesh
+ */
+//================================================================================
+
+void SMESH_ElementSearcherImpl::findOuterBoundary(const SMDS_MeshElement* outerFace)
+{
+ if ( _outerFacesFound ) return;
+
+ // Collect all outer faces by passing from one outer face to another via their links
+ // and BTW find out if there are internal faces at all.
+
+ // checked links and links where outer boundary meets internal one
+ set< SMESH_TLink > visitedLinks, seamLinks;
+
+ // links to treat with already visited faces sharing them
+ list < TFaceLink > startLinks;
+
+ // load startLinks with the first outerFace
+ startLinks.push_back( TFaceLink( outerFace->GetNode(0), outerFace->GetNode(1), outerFace));
+ _outerFaces.insert( outerFace );
+
+ TIDSortedElemSet emptySet;
+ while ( !startLinks.empty() )
+ {
+ const SMESH_TLink& link = startLinks.front()._link;
+ TIDSortedElemSet& faces = startLinks.front()._faces;
+
+ outerFace = *faces.begin();
+ // find other faces sharing the link
+ const SMDS_MeshElement* f;
+ while (( f = SMESH_MeshEditor::FindFaceInSet(link.node1(), link.node2(), emptySet, faces )))
+ faces.insert( f );
+
+ // select another outer face among the found
+ const SMDS_MeshElement* outerFace2 = 0;
+ if ( faces.size() == 2 )
+ {
+ outerFace2 = (outerFace == *faces.begin() ? *faces.rbegin() : *faces.begin());
+ }
+ else if ( faces.size() > 2 )
+ {
+ seamLinks.insert( link );
+
+ // link direction within the outerFace
+ gp_Vec n1n2( SMESH_TNodeXYZ( link.node1()),
+ SMESH_TNodeXYZ( link.node2()));
+ int i1 = outerFace->GetNodeIndex( link.node1() );
+ int i2 = outerFace->GetNodeIndex( link.node2() );
+ bool rev = ( abs(i2-i1) == 1 ? i1 > i2 : i2 > i1 );
+ if ( rev ) n1n2.Reverse();
+ // outerFace normal
+ gp_XYZ ofNorm, fNorm;
+ if ( SMESH_Algo::FaceNormal( outerFace, ofNorm, /*normalized=*/false ))
+ {
+ // direction from the link inside outerFace
+ gp_Vec dirInOF = gp_Vec( ofNorm ) ^ n1n2;
+ // sort all other faces by angle with the dirInOF
+ map< double, const SMDS_MeshElement* > angle2Face;
+ set< const SMDS_MeshElement*, TIDCompare >::const_iterator face = faces.begin();
+ for ( ; face != faces.end(); ++face )
+ {
+ if ( !SMESH_Algo::FaceNormal( *face, fNorm, /*normalized=*/false ))
+ continue;
+ gp_Vec dirInF = gp_Vec( fNorm ) ^ n1n2;
+ double angle = dirInOF.AngleWithRef( dirInF, n1n2 );
+ if ( angle < 0 ) angle += 2*PI;
+ angle2Face.insert( make_pair( angle, *face ));
+ }
+ if ( !angle2Face.empty() )
+ outerFace2 = angle2Face.begin()->second;
+ }
+ }
+ // store the found outer face and add its links to continue seaching from
+ if ( outerFace2 )
+ {
+ _outerFaces.insert( outerFace );
+ int nbNodes = outerFace2->NbNodes()/( outerFace2->IsQuadratic() ? 2 : 1 );
+ for ( int i = 0; i < nbNodes; ++i )
+ {
+ SMESH_TLink link2( outerFace2->GetNode(i), outerFace2->GetNode((i+1)%nbNodes));
+ if ( visitedLinks.insert( link2 ).second )
+ startLinks.push_back( TFaceLink( link2.node1(), link2.node2(), outerFace2 ));
+ }
+ }
+ startLinks.pop_front();
+ }
+ _outerFacesFound = true;
+
+ if ( !seamLinks.empty() )
+ {
+ // There are internal boundaries touching the outher one,
+ // find all faces of internal boundaries in order to find
+ // faces of boundaries of holes, if any.
+
+ }
+ else
+ {
+ _outerFaces.clear();
+ }
+}
+
+//=======================================================================
+/*!
+ * \brief Find elements of given type where the given point is IN or ON.
+ * Returns nb of found elements and elements them-selves.
+ *
+ * 'ALL' type means elements of any type excluding nodes and 0D elements
+ */
+//=======================================================================
+
+int SMESH_ElementSearcherImpl::
+FindElementsByPoint(const gp_Pnt& point,
+ SMDSAbs_ElementType type,
+ vector< const SMDS_MeshElement* >& foundElements)
+{
+ foundElements.clear();
+
+ double tolerance = getTolerance();
+
+ // =================================================================================
+ if ( type == SMDSAbs_Node || type == SMDSAbs_0DElement )
+ {
+ if ( !_nodeSearcher )
+ _nodeSearcher = new SMESH_NodeSearcherImpl( _mesh );
+
+ const SMDS_MeshNode* closeNode = _nodeSearcher->FindClosestTo( point );
+ if ( !closeNode ) return foundElements.size();
+
+ if ( point.Distance( SMESH_TNodeXYZ( closeNode )) > tolerance )
+ return foundElements.size(); // to far from any node
+
+ if ( type == SMDSAbs_Node )
+ {
+ foundElements.push_back( closeNode );
+ }
+ else
+ {
+ SMDS_ElemIteratorPtr elemIt = closeNode->GetInverseElementIterator( SMDSAbs_0DElement );
+ while ( elemIt->more() )
+ foundElements.push_back( elemIt->next() );
+ }
+ }
+ // =================================================================================
+ else // elements more complex than 0D
+ {
+ if ( !_ebbTree || _elementType != type )
+ {
+ if ( _ebbTree ) delete _ebbTree;
+ _ebbTree = new ElementBndBoxTree( *_mesh, _elementType = type, _meshPartIt, tolerance );
+ }
+ TIDSortedElemSet suspectElems;
+ _ebbTree->getElementsNearPoint( point, suspectElems );
+ TIDSortedElemSet::iterator elem = suspectElems.begin();
+ for ( ; elem != suspectElems.end(); ++elem )
+ if ( !SMESH_MeshEditor::isOut( *elem, point, tolerance ))
+ foundElements.push_back( *elem );
+ }
+ return foundElements.size();
+}
+
+//================================================================================
+/*!
+ * \brief Classify the given point in the closed 2D mesh
+ */
+//================================================================================
+
+TopAbs_State SMESH_ElementSearcherImpl::GetPointState(const gp_Pnt& point)
+{
+ double tolerance = getTolerance();
+ if ( !_ebbTree || _elementType != SMDSAbs_Face )
+ {
+ if ( _ebbTree ) delete _ebbTree;
+ _ebbTree = new ElementBndBoxTree( *_mesh, _elementType = SMDSAbs_Face, _meshPartIt );
+ }
+ // Algo: analyse transition of a line starting at the point through mesh boundary;
+ // try three lines parallel to axis of the coordinate system and perform rough
+ // analysis. If solution is not clear perform thorough analysis.
+
+ const int nbAxes = 3;
+ gp_Dir axisDir[ nbAxes ] = { gp::DX(), gp::DY(), gp::DZ() };
+ map< double, TInters > paramOnLine2TInters[ nbAxes ];
+ list< TInters > tangentInters[ nbAxes ]; // of faces whose plane includes the line
+ multimap< int, int > nbInt2Axis; // to find the simplest case
+ for ( int axis = 0; axis < nbAxes; ++axis )
+ {
+ gp_Ax1 lineAxis( point, axisDir[axis]);
+ gp_Lin line ( lineAxis );
+
+ TIDSortedElemSet suspectFaces; // faces possibly intersecting the line
+ _ebbTree->getElementsNearLine( lineAxis, suspectFaces );
+
+ // Intersect faces with the line
+
+ map< double, TInters > & u2inters = paramOnLine2TInters[ axis ];
+ TIDSortedElemSet::iterator face = suspectFaces.begin();
+ for ( ; face != suspectFaces.end(); ++face )
+ {
+ // get face plane
+ gp_XYZ fNorm;
+ if ( !SMESH_Algo::FaceNormal( *face, fNorm, /*normalized=*/false)) continue;
+ gp_Pln facePlane( SMESH_TNodeXYZ( (*face)->GetNode(0)), fNorm );
+
+ // perform intersection
+ IntAna_IntConicQuad intersection( line, IntAna_Quadric( facePlane ));
+ if ( !intersection.IsDone() )
+ continue;
+ if ( intersection.IsInQuadric() )
+ {
+ tangentInters[ axis ].push_back( TInters( *face, fNorm, true ));
+ }
+ else if ( ! intersection.IsParallel() && intersection.NbPoints() > 0 )
+ {
+ gp_Pnt intersectionPoint = intersection.Point(1);
+ if ( !SMESH_MeshEditor::isOut( *face, intersectionPoint, tolerance ))
+ u2inters.insert(make_pair( intersection.ParamOnConic(1), TInters( *face, fNorm )));
+ }
+ }
+ // Analyse intersections roughly
+
+ int nbInter = u2inters.size();
+ if ( nbInter == 0 )
+ return TopAbs_OUT;
+
+ double f = u2inters.begin()->first, l = u2inters.rbegin()->first;
+ if ( nbInter == 1 ) // not closed mesh
+ return fabs( f ) < tolerance ? TopAbs_ON : TopAbs_UNKNOWN;
+
+ if ( fabs( f ) < tolerance || fabs( l ) < tolerance )
+ return TopAbs_ON;
+
+ if ( (f<0) == (l<0) )
+ return TopAbs_OUT;
+
+ int nbIntBeforePoint = std::distance( u2inters.begin(), u2inters.lower_bound(0));
+ int nbIntAfterPoint = nbInter - nbIntBeforePoint;
+ if ( nbIntBeforePoint == 1 || nbIntAfterPoint == 1 )
+ return TopAbs_IN;
+
+ nbInt2Axis.insert( make_pair( min( nbIntBeforePoint, nbIntAfterPoint ), axis ));
+
+ if ( _outerFacesFound ) break; // pass to thorough analysis
+
+ } // three attempts - loop on CS axes
+
+ // Analyse intersections thoroughly.
+ // We make two loops maximum, on the first one we only exclude touching intersections,
+ // on the second, if situation is still unclear, we gather and use information on
+ // position of faces (internal or outer). If faces position is already gathered,
+ // we make the second loop right away.
+
+ for ( int hasPositionInfo = _outerFacesFound; hasPositionInfo < 2; ++hasPositionInfo )
+ {
+ multimap< int, int >::const_iterator nb_axis = nbInt2Axis.begin();
+ for ( ; nb_axis != nbInt2Axis.end(); ++nb_axis )
+ {
+ int axis = nb_axis->second;
+ map< double, TInters > & u2inters = paramOnLine2TInters[ axis ];
+
+ gp_Ax1 lineAxis( point, axisDir[axis]);
+ gp_Lin line ( lineAxis );
+
+ // add tangent intersections to u2inters
+ double param;
+ list< TInters >::const_iterator tgtInt = tangentInters[ axis ].begin();
+ for ( ; tgtInt != tangentInters[ axis ].end(); ++tgtInt )
+ if ( getIntersParamOnLine( line, tgtInt->_face, tolerance, param ))
+ u2inters.insert(make_pair( param, *tgtInt ));
+ tangentInters[ axis ].clear();
+
+ // Count intersections before and after the point excluding touching ones.
+ // If hasPositionInfo we count intersections of outer boundary only
+
+ int nbIntBeforePoint = 0, nbIntAfterPoint = 0;
+ double f = numeric_limits<double>::max(), l = -numeric_limits<double>::max();
+ map< double, TInters >::iterator u_int1 = u2inters.begin(), u_int2 = u_int1;
+ bool ok = ! u_int1->second._coincides;
+ while ( ok && u_int1 != u2inters.end() )
+ {
+ double u = u_int1->first;
+ bool touchingInt = false;
+ if ( ++u_int2 != u2inters.end() )
+ {
+ // skip intersections at the same point (if the line passes through edge or node)
+ int nbSamePnt = 0;
+ while ( u_int2 != u2inters.end() && fabs( u_int2->first - u ) < tolerance )
+ {
+ ++nbSamePnt;
+ ++u_int2;
+ }
+
+ // skip tangent intersections
+ int nbTgt = 0;
+ const SMDS_MeshElement* prevFace = u_int1->second._face;
+ while ( ok && u_int2->second._coincides )
+ {
+ if ( SMESH_Algo::GetCommonNodes(prevFace , u_int2->second._face).empty() )
+ ok = false;
+ else
+ {
+ nbTgt++;
+ u_int2++;
+ ok = ( u_int2 != u2inters.end() );
+ }
+ }
+ if ( !ok ) break;
+
+ // skip intersections at the same point after tangent intersections
+ if ( nbTgt > 0 )
+ {
+ double u2 = u_int2->first;
+ ++u_int2;
+ while ( u_int2 != u2inters.end() && fabs( u_int2->first - u2 ) < tolerance )
+ {
+ ++nbSamePnt;
+ ++u_int2;
+ }
+ }
+ // decide if we skipped a touching intersection
+ if ( nbSamePnt + nbTgt > 0 )
+ {
+ double minDot = numeric_limits<double>::max(), maxDot = -numeric_limits<double>::max();
+ map< double, TInters >::iterator u_int = u_int1;
+ for ( ; u_int != u_int2; ++u_int )
+ {
+ if ( u_int->second._coincides ) continue;
+ double dot = u_int->second._faceNorm * line.Direction();
+ if ( dot > maxDot ) maxDot = dot;
+ if ( dot < minDot ) minDot = dot;
+ }
+ touchingInt = ( minDot*maxDot < 0 );
+ }
+ }
+ if ( !touchingInt )
+ {
+ if ( !hasPositionInfo || isOuterBoundary( u_int1->second._face ))
+ {
+ if ( u < 0 )
+ ++nbIntBeforePoint;
+ else
+ ++nbIntAfterPoint;
+ }
+ if ( u < f ) f = u;
+ if ( u > l ) l = u;
+ }
+
+ u_int1 = u_int2; // to next intersection
+
+ } // loop on intersections with one line
+
+ if ( ok )
+ {
+ if ( fabs( f ) < tolerance || fabs( l ) < tolerance )
+ return TopAbs_ON;
+
+ if ( nbIntBeforePoint == 0 || nbIntAfterPoint == 0)
+ return TopAbs_OUT;
+
+ if ( nbIntBeforePoint + nbIntAfterPoint == 1 ) // not closed mesh
+ return fabs( f ) < tolerance ? TopAbs_ON : TopAbs_UNKNOWN;
+
+ if ( nbIntBeforePoint == 1 || nbIntAfterPoint == 1 )
+ return TopAbs_IN;
+
+ if ( (f<0) == (l<0) )
+ return TopAbs_OUT;
+
+ if ( hasPositionInfo )
+ return nbIntBeforePoint % 2 ? TopAbs_IN : TopAbs_OUT;
+ }
+ } // loop on intersections of the tree lines - thorough analysis
+
+ if ( !hasPositionInfo )
+ {
+ // gather info on faces position - is face in the outer boundary or not
+ map< double, TInters > & u2inters = paramOnLine2TInters[ 0 ];
+ findOuterBoundary( u2inters.begin()->second._face );
+ }
+
+ } // two attempts - with and w/o faces position info in the mesh
+
+ return TopAbs_UNKNOWN;
+}
+
+//=======================================================================
+/*!
+ * \brief Return elements possibly intersecting the line
+ */
+//=======================================================================
+
+void SMESH_ElementSearcherImpl::GetElementsNearLine( const gp_Ax1& line,
+ SMDSAbs_ElementType type,
+ vector< const SMDS_MeshElement* >& foundElems)
+{
+ if ( !_ebbTree || _elementType != type )
+ {
+ if ( _ebbTree ) delete _ebbTree;
+ _ebbTree = new ElementBndBoxTree( *_mesh, _elementType = type, _meshPartIt );
+ }
+ TIDSortedElemSet suspectFaces; // elements possibly intersecting the line
+ _ebbTree->getElementsNearLine( line, suspectFaces );
+ foundElems.assign( suspectFaces.begin(), suspectFaces.end());
+}
+
+//=======================================================================
+/*!
+ * \brief Return SMESH_ElementSearcher
+ */
+//=======================================================================
+
+SMESH_ElementSearcher* SMESH_MeshEditor::GetElementSearcher()
+{
+ return new SMESH_ElementSearcherImpl( *GetMeshDS() );
+}
+
+//=======================================================================
+/*!
+ * \brief Return SMESH_ElementSearcher
+ */
+//=======================================================================
+
+SMESH_ElementSearcher* SMESH_MeshEditor::GetElementSearcher(SMDS_ElemIteratorPtr elemIt)
+{
+ return new SMESH_ElementSearcherImpl( *GetMeshDS(), elemIt );
+}
+
+//=======================================================================
+/*!
+ * \brief Return true if the point is IN or ON of the element
+ */
+//=======================================================================
+
+bool SMESH_MeshEditor::isOut( const SMDS_MeshElement* element, const gp_Pnt& point, double tol )
+{
+ if ( element->GetType() == SMDSAbs_Volume)
+ {
+ return SMDS_VolumeTool( element ).IsOut( point.X(), point.Y(), point.Z(), tol );
+ }
+
+ // get ordered nodes
+
+ vector< gp_XYZ > xyz;
+ vector<const SMDS_MeshNode*> nodeList;
+
+ SMDS_ElemIteratorPtr nodeIt = element->nodesIterator();
+ if ( element->IsQuadratic() ) {
+ if (const SMDS_VtkFace* f=dynamic_cast<const SMDS_VtkFace*>(element))
+ nodeIt = f->interlacedNodesElemIterator();
+ else if (const SMDS_VtkEdge* e =dynamic_cast<const SMDS_VtkEdge*>(element))
+ nodeIt = e->interlacedNodesElemIterator();
+ }
+ while ( nodeIt->more() )
+ {
+ const SMDS_MeshNode* node = cast2Node( nodeIt->next() );
+ xyz.push_back( SMESH_TNodeXYZ(node) );
+ nodeList.push_back(node);
+ }
+
+ int i, nbNodes = element->NbNodes();
+
+ if ( element->GetType() == SMDSAbs_Face ) // --------------------------------------------------
+ {
+ // compute face normal
+ gp_Vec faceNorm(0,0,0);
+ xyz.push_back( xyz.front() );
+ nodeList.push_back( nodeList.front() );
+ for ( i = 0; i < nbNodes; ++i )
+ {
+ gp_Vec edge1( xyz[i+1], xyz[i]);
+ gp_Vec edge2( xyz[i+1], xyz[(i+2)%nbNodes] );
+ faceNorm += edge1 ^ edge2;
+ }
+ double normSize = faceNorm.Magnitude();
+ if ( normSize <= tol )
+ {
+ // degenerated face: point is out if it is out of all face edges
+ for ( i = 0; i < nbNodes; ++i )
+ {
+ SMDS_LinearEdge edge( nodeList[i], nodeList[i+1] );
+ if ( !isOut( &edge, point, tol ))
+ return false;
+ }
+ return true;
+ }
+ faceNorm /= normSize;
+
+ // check if the point lays on face plane
+ gp_Vec n2p( xyz[0], point );
+ if ( fabs( n2p * faceNorm ) > tol )
+ return true; // not on face plane
+
+ // check if point is out of face boundary:
+ // define it by closest transition of a ray point->infinity through face boundary
+ // on the face plane.
+ // First, find normal of a plane perpendicular to face plane, to be used as a cutting tool
+ // to find intersections of the ray with the boundary.
+ gp_Vec ray = n2p;
+ gp_Vec plnNorm = ray ^ faceNorm;
+ normSize = plnNorm.Magnitude();
+ if ( normSize <= tol ) return false; // point coincides with the first node
+ plnNorm /= normSize;
+ // for each node of the face, compute its signed distance to the plane
+ vector<double> dist( nbNodes + 1);
+ for ( i = 0; i < nbNodes; ++i )
+ {
+ gp_Vec n2p( xyz[i], point );
+ dist[i] = n2p * plnNorm;
+ }
+ dist.back() = dist.front();
+ // find the closest intersection
+ int iClosest = -1;
+ double rClosest, distClosest = 1e100;;
+ gp_Pnt pClosest;
+ for ( i = 0; i < nbNodes; ++i )
+ {
+ double r;
+ if ( fabs( dist[i]) < tol )
+ r = 0.;
+ else if ( fabs( dist[i+1]) < tol )
+ r = 1.;
+ else if ( dist[i] * dist[i+1] < 0 )
+ r = dist[i] / ( dist[i] - dist[i+1] );
+ else
+ continue; // no intersection
+ gp_Pnt pInt = xyz[i] * (1.-r) + xyz[i+1] * r;
+ gp_Vec p2int ( point, pInt);
+ if ( p2int * ray > -tol ) // right half-space
+ {
+ double intDist = p2int.SquareMagnitude();
+ if ( intDist < distClosest )
+ {
+ iClosest = i;
+ rClosest = r;
+ pClosest = pInt;
+ distClosest = intDist;
+ }
+ }
+ }
+ if ( iClosest < 0 )
+ return true; // no intesections - out
+
+ // analyse transition
+ gp_Vec edge( xyz[iClosest], xyz[iClosest+1] );
+ gp_Vec edgeNorm = -( edge ^ faceNorm ); // normal to intersected edge pointing out of face
+ gp_Vec p2int ( point, pClosest );
+ bool out = (edgeNorm * p2int) < -tol;
+ if ( rClosest > 0. && rClosest < 1. ) // not node intersection
+ return out;
+
+ // ray pass through a face node; analyze transition through an adjacent edge
+ gp_Pnt p1 = xyz[ (rClosest == 0.) ? ((iClosest+nbNodes-1) % nbNodes) : (iClosest+1) ];
+ gp_Pnt p2 = xyz[ (rClosest == 0.) ? iClosest : ((iClosest+2) % nbNodes) ];
+ gp_Vec edgeAdjacent( p1, p2 );
+ gp_Vec edgeNorm2 = -( edgeAdjacent ^ faceNorm );
+ bool out2 = (edgeNorm2 * p2int) < -tol;
+
+ bool covexCorner = ( edgeNorm * edgeAdjacent * (rClosest==1. ? 1. : -1.)) < 0;
+ return covexCorner ? (out || out2) : (out && out2);
+ }
+ if ( element->GetType() == SMDSAbs_Edge ) // --------------------------------------------------
+ {
+ // point is out of edge if it is NOT ON any straight part of edge
+ // (we consider quadratic edge as being composed of two straight parts)
+ for ( i = 1; i < nbNodes; ++i )
+ {
+ gp_Vec edge( xyz[i-1], xyz[i]);
+ gp_Vec n1p ( xyz[i-1], point);
+ double dist = ( edge ^ n1p ).Magnitude() / edge.Magnitude();
+ if ( dist > tol )
+ continue;
+ gp_Vec n2p( xyz[i], point );
+ if ( fabs( edge.Magnitude() - n1p.Magnitude() - n2p.Magnitude()) > tol )
+ continue;
+ return false; // point is ON this part
+ }
+ return true;
+ }
+ // Node or 0D element -------------------------------------------------------------------------
+ {
+ gp_Vec n2p ( xyz[0], point );
+ return n2p.Magnitude() <= tol;
+ }
+ return true;
+}
+
+//=======================================================================
+//function : SimplifyFace
+//purpose :
+//=======================================================================
+int SMESH_MeshEditor::SimplifyFace (const vector<const SMDS_MeshNode *> faceNodes,
+ vector<const SMDS_MeshNode *>& poly_nodes,
+ vector<int>& quantities) const
+{
+ int nbNodes = faceNodes.size();
+
+ if (nbNodes < 3)
+ return 0;
+
+ set<const SMDS_MeshNode*> nodeSet;
+
+ // get simple seq of nodes
+ //const SMDS_MeshNode* simpleNodes[ nbNodes ];
+ vector<const SMDS_MeshNode*> simpleNodes( nbNodes );
+ int iSimple = 0, nbUnique = 0;
+
+ simpleNodes[iSimple++] = faceNodes[0];
+ nbUnique++;
+ for (int iCur = 1; iCur < nbNodes; iCur++) {
+ if (faceNodes[iCur] != simpleNodes[iSimple - 1]) {
+ simpleNodes[iSimple++] = faceNodes[iCur];
+ if (nodeSet.insert( faceNodes[iCur] ).second)
+ nbUnique++;
+ }
+ }
+ int nbSimple = iSimple;
+ if (simpleNodes[nbSimple - 1] == simpleNodes[0]) {
+ nbSimple--;
+ iSimple--;
+ }
+
+ if (nbUnique < 3)
+ return 0;
+
+ // separate loops
+ int nbNew = 0;
+ bool foundLoop = (nbSimple > nbUnique);
+ while (foundLoop) {
+ foundLoop = false;
+ set<const SMDS_MeshNode*> loopSet;
+ for (iSimple = 0; iSimple < nbSimple && !foundLoop; iSimple++) {
+ const SMDS_MeshNode* n = simpleNodes[iSimple];
+ if (!loopSet.insert( n ).second) {
+ foundLoop = true;
+
+ // separate loop
+ int iC = 0, curLast = iSimple;