- * \brief Return list of group of nodes close to each other within theTolerance
- * Search among theNodes or in the whole mesh if theNodes is empty using
- * an Octree algorithm
- */
-//================================================================================
-
-void SMESH_MeshEditor::FindCoincidentNodes (TIDSortedNodeSet & theNodes,
- const double theTolerance,
- TListOfListOfNodes & theGroupsOfNodes)
-{
- myLastCreatedElems.Clear();
- myLastCreatedNodes.Clear();
-
- if ( theNodes.empty() )
- { // get all nodes in the mesh
- SMDS_NodeIteratorPtr nIt = GetMeshDS()->nodesIterator(/*idInceasingOrder=*/true);
- while ( nIt->more() )
- theNodes.insert( theNodes.end(),nIt->next());
- }
-
- SMESH_OctreeNode::FindCoincidentNodes ( theNodes, &theGroupsOfNodes, theTolerance);
-}
-
-
-//=======================================================================
-/*!
- * \brief Implementation of search for the node closest to point
- */
-//=======================================================================
-
-struct SMESH_NodeSearcherImpl: public SMESH_NodeSearcher
-{
- //---------------------------------------------------------------------
- /*!
- * \brief Constructor
- */
- SMESH_NodeSearcherImpl( const SMESHDS_Mesh* theMesh )
- {
- myMesh = ( SMESHDS_Mesh* ) theMesh;
-
- TIDSortedNodeSet nodes;
- if ( theMesh ) {
- SMDS_NodeIteratorPtr nIt = theMesh->nodesIterator(/*idInceasingOrder=*/true);
- while ( nIt->more() )
- nodes.insert( nodes.end(), nIt->next() );
- }
- myOctreeNode = new SMESH_OctreeNode(nodes) ;
-
- // get max size of a leaf box
- SMESH_OctreeNode* tree = myOctreeNode;
- while ( !tree->isLeaf() )
- {
- SMESH_OctreeNodeIteratorPtr cIt = tree->GetChildrenIterator();
- if ( cIt->more() )
- tree = cIt->next();
- }
- myHalfLeafSize = tree->maxSize() / 2.;
- }
-
- //---------------------------------------------------------------------
- /*!
- * \brief Move node and update myOctreeNode accordingly
- */
- void MoveNode( const SMDS_MeshNode* node, const gp_Pnt& toPnt )
- {
- myOctreeNode->UpdateByMoveNode( node, toPnt );
- myMesh->MoveNode( node, toPnt.X(), toPnt.Y(), toPnt.Z() );
- }
-
- //---------------------------------------------------------------------
- /*!
- * \brief Do it's job
- */
- const SMDS_MeshNode* FindClosestTo( const gp_Pnt& thePnt )
- {
- map<double, const SMDS_MeshNode*> dist2Nodes;
- myOctreeNode->NodesAround( thePnt.Coord(), dist2Nodes, myHalfLeafSize );
- if ( !dist2Nodes.empty() )
- return dist2Nodes.begin()->second;
- list<const SMDS_MeshNode*> nodes;
- //myOctreeNode->NodesAround( &tgtNode, &nodes, myHalfLeafSize );
-
- double minSqDist = DBL_MAX;
- if ( nodes.empty() ) // get all nodes of OctreeNode's closest to thePnt
- {
- // sort leafs by their distance from thePnt
- typedef map< double, SMESH_OctreeNode* > TDistTreeMap;
- TDistTreeMap treeMap;
- list< SMESH_OctreeNode* > treeList;
- list< SMESH_OctreeNode* >::iterator trIt;
- treeList.push_back( myOctreeNode );
-
- gp_XYZ pointNode( thePnt.X(), thePnt.Y(), thePnt.Z() );
- bool pointInside = myOctreeNode->isInside( pointNode, myHalfLeafSize );
- for ( trIt = treeList.begin(); trIt != treeList.end(); ++trIt)
- {
- SMESH_OctreeNode* tree = *trIt;
- if ( !tree->isLeaf() ) // put children to the queue
- {
- if ( pointInside && !tree->isInside( pointNode, myHalfLeafSize )) continue;
- SMESH_OctreeNodeIteratorPtr cIt = tree->GetChildrenIterator();
- while ( cIt->more() )
- treeList.push_back( cIt->next() );
- }
- else if ( tree->NbNodes() ) // put a tree to the treeMap
- {
- const Bnd_B3d& box = *tree->getBox();
- double sqDist = thePnt.SquareDistance( 0.5 * ( box.CornerMin() + box.CornerMax() ));
- pair<TDistTreeMap::iterator,bool> it_in = treeMap.insert( make_pair( sqDist, tree ));
- if ( !it_in.second ) // not unique distance to box center
- treeMap.insert( it_in.first, make_pair( sqDist + 1e-13*treeMap.size(), tree ));
- }
- }
- // find distance after which there is no sense to check tree's
- double sqLimit = DBL_MAX;
- TDistTreeMap::iterator sqDist_tree = treeMap.begin();
- if ( treeMap.size() > 5 ) {
- SMESH_OctreeNode* closestTree = sqDist_tree->second;
- const Bnd_B3d& box = *closestTree->getBox();
- double limit = sqrt( sqDist_tree->first ) + sqrt ( box.SquareExtent() );
- sqLimit = limit * limit;
- }
- // get all nodes from trees
- for ( ; sqDist_tree != treeMap.end(); ++sqDist_tree) {
- if ( sqDist_tree->first > sqLimit )
- break;
- SMESH_OctreeNode* tree = sqDist_tree->second;
- tree->NodesAround( tree->GetNodeIterator()->next(), &nodes );
- }
- }
- // find closest among nodes
- minSqDist = DBL_MAX;
- const SMDS_MeshNode* closestNode = 0;
- list<const SMDS_MeshNode*>::iterator nIt = nodes.begin();
- for ( ; nIt != nodes.end(); ++nIt ) {
- double sqDist = thePnt.SquareDistance( SMESH_TNodeXYZ( *nIt ) );
- if ( minSqDist > sqDist ) {
- closestNode = *nIt;
- minSqDist = sqDist;
- }
- }
- return closestNode;
- }
-
- //---------------------------------------------------------------------
- /*!
- * \brief Destructor
- */
- ~SMESH_NodeSearcherImpl() { delete myOctreeNode; }
-
- //---------------------------------------------------------------------
- /*!
- * \brief Return the node tree
- */
- const SMESH_OctreeNode* getTree() const { return myOctreeNode; }
-
-private:
- SMESH_OctreeNode* myOctreeNode;
- SMESHDS_Mesh* myMesh;
- double myHalfLeafSize; // max size of a leaf box
-};
-
-//=======================================================================
-/*!
- * \brief Return SMESH_NodeSearcher
- */
-//=======================================================================
-
-SMESH_NodeSearcher* SMESH_MeshEditor::GetNodeSearcher()
-{
- return new SMESH_NodeSearcherImpl( GetMeshDS() );
-}
-
-// ========================================================================
-namespace // Utils used in SMESH_ElementSearcherImpl::FindElementsByPoint()
-{
- const int MaxNbElemsInLeaf = 10; // maximal number of elements in a leaf of tree
- const int MaxLevel = 7; // maximal tree height -> nb terminal boxes: 8^7 = 2097152
- const double NodeRadius = 1e-9; // to enlarge bnd box of element
-
- //=======================================================================
- /*!
- * \brief Octal tree of bounding boxes of elements
- */
- //=======================================================================
-
- class ElementBndBoxTree : public SMESH_Octree
- {
- public:
-
- ElementBndBoxTree(const SMDS_Mesh& mesh,
- SMDSAbs_ElementType elemType,
- SMDS_ElemIteratorPtr theElemIt = SMDS_ElemIteratorPtr(),
- double tolerance = NodeRadius );
- void getElementsNearPoint( const gp_Pnt& point, TIDSortedElemSet& foundElems );
- void getElementsNearLine ( const gp_Ax1& line, TIDSortedElemSet& foundElems);
- void getElementsInSphere ( const gp_XYZ& center,
- const double radius, TIDSortedElemSet& foundElems);
- size_t getSize() { return std::max( _size, _elements.size() ); }
- ~ElementBndBoxTree();
-
- protected:
- ElementBndBoxTree():_size(0) {}
- SMESH_Octree* newChild() const { return new ElementBndBoxTree; }
- void buildChildrenData();
- Bnd_B3d* buildRootBox();
- private:
- //!< Bounding box of element
- struct ElementBox : public Bnd_B3d
- {
- const SMDS_MeshElement* _element;
- int _refCount; // an ElementBox can be included in several tree branches
- ElementBox(const SMDS_MeshElement* elem, double tolerance);
- };
- vector< ElementBox* > _elements;
- size_t _size;
- };
-
- //================================================================================
- /*!
- * \brief ElementBndBoxTree creation
- */
- //================================================================================
-
- ElementBndBoxTree::ElementBndBoxTree(const SMDS_Mesh& mesh, SMDSAbs_ElementType elemType, SMDS_ElemIteratorPtr theElemIt, double tolerance)
- :SMESH_Octree( new SMESH_TreeLimit( MaxLevel, /*minSize=*/0. ))
- {
- int nbElems = mesh.GetMeshInfo().NbElements( elemType );
- _elements.reserve( nbElems );
-
- SMDS_ElemIteratorPtr elemIt = theElemIt ? theElemIt : mesh.elementsIterator( elemType );
- while ( elemIt->more() )
- _elements.push_back( new ElementBox( elemIt->next(),tolerance ));
-
- compute();
- }
-
- //================================================================================
- /*!
- * \brief Destructor
- */
- //================================================================================
-
- ElementBndBoxTree::~ElementBndBoxTree()
- {
- for ( int i = 0; i < _elements.size(); ++i )
- if ( --_elements[i]->_refCount <= 0 )
- delete _elements[i];
- }
-
- //================================================================================
- /*!
- * \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--;
- }
- _size = _elements.size();
- SMESHUtils::FreeVector( _elements ); // = _elements.clear() + free memory
-
- 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 )
- SMESHUtils::CompactVector( child->_elements );
- }
- }
-
- //================================================================================
- /*!
- * \brief Return elements which can include the point
- */
- //================================================================================
-
- void ElementBndBoxTree::getElementsNearPoint( const gp_Pnt& point,
- TIDSortedElemSet& foundElems)
- {
- if ( 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 ( 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 Return elements from leaves intersecting the sphere
- */
- //================================================================================
-
- void ElementBndBoxTree::getElementsInSphere ( const gp_XYZ& center,
- const double radius,
- TIDSortedElemSet& foundElems)
- {
- if ( getBox()->IsOut( center, radius ))
- return;
-
- if ( isLeaf() )
- {
- for ( int i = 0; i < _elements.size(); ++i )
- if ( !_elements[i]->IsOut( center, radius ))
- foundElems.insert( _elements[i]->_element );
- }
- else
- {
- for (int i = 0; i < 8; i++)
- ((ElementBndBoxTree*) myChildren[i])->getElementsInSphere( center, radius, 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( 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);
- virtual const SMDS_MeshElement* FindClosestTo( const gp_Pnt& point,
- SMDSAbs_ElementType type );
-
- 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. * M_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, balls 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 || type == SMDSAbs_Ball)
- {
- 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( type );
- 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 Find an element of given type most close to the given point
- *
- * WARNING: Only face search is implemeneted so far
- */
-//=======================================================================
-
-const SMDS_MeshElement*
-SMESH_ElementSearcherImpl::FindClosestTo( const gp_Pnt& point,
- SMDSAbs_ElementType type )
-{
- const SMDS_MeshElement* closestElem = 0;
-
- if ( type == SMDSAbs_Face )
- {
- if ( !_ebbTree || _elementType != type )
- {
- if ( _ebbTree ) delete _ebbTree;
- _ebbTree = new ElementBndBoxTree( *_mesh, _elementType = type, _meshPartIt );
- }
- TIDSortedElemSet suspectElems;
- _ebbTree->getElementsNearPoint( point, suspectElems );
-
- if ( suspectElems.empty() && _ebbTree->maxSize() > 0 )
- {
- gp_Pnt boxCenter = 0.5 * ( _ebbTree->getBox()->CornerMin() +
- _ebbTree->getBox()->CornerMax() );
- double radius;
- if ( _ebbTree->getBox()->IsOut( point.XYZ() ))
- radius = point.Distance( boxCenter ) - 0.5 * _ebbTree->maxSize();
- else
- radius = _ebbTree->maxSize() / pow( 2., _ebbTree->getHeight()) / 2;
- while ( suspectElems.empty() )
- {
- _ebbTree->getElementsInSphere( point.XYZ(), radius, suspectElems );
- radius *= 1.1;
- }
- }
- double minDist = std::numeric_limits<double>::max();
- multimap< double, const SMDS_MeshElement* > dist2face;
- TIDSortedElemSet::iterator elem = suspectElems.begin();
- for ( ; elem != suspectElems.end(); ++elem )
- {
- double dist = SMESH_MeshEditor::GetDistance( dynamic_cast<const SMDS_MeshFace*>(*elem),
- point );
- if ( dist < minDist + 1e-10)
- {
- minDist = dist;
- dist2face.insert( dist2face.begin(), make_pair( dist, *elem ));
- }
- }
- if ( !dist2face.empty() )
- {
- multimap< double, const SMDS_MeshElement* >::iterator d2f = dist2face.begin();
- closestElem = d2f->second;
- // if there are several elements at the same distance, select one
- // with GC closest to the point
- typedef SMDS_StdIterator< SMESH_TNodeXYZ, SMDS_ElemIteratorPtr > TXyzIterator;
- double minDistToGC = 0;
- for ( ++d2f; d2f != dist2face.end() && fabs( d2f->first - minDist ) < 1e-10; ++d2f )
- {
- if ( minDistToGC == 0 )
- {
- gp_XYZ gc(0,0,0);
- gc = accumulate( TXyzIterator(closestElem->nodesIterator()),
- TXyzIterator(), gc ) / closestElem->NbNodes();
- minDistToGC = point.SquareDistance( gc );
- }
- gp_XYZ gc(0,0,0);
- gc = accumulate( TXyzIterator( d2f->second->nodesIterator()),
- TXyzIterator(), gc ) / d2f->second->NbNodes();
- double d = point.SquareDistance( gc );
- if ( d < minDistToGC )
- {
- minDistToGC = d;
- closestElem = d2f->second;
- }
- }
- // cout << "FindClosestTo( " <<point.X()<<", "<<point.Y()<<", "<<point.Z()<<" ) FACE "
- // <<closestElem->GetID() << " DIST " << minDist << endl;
- }
- }
- else
- {
- // NOT IMPLEMENTED SO FAR
- }
- return closestElem;
-}
-
-
-//================================================================================
-/*!
- * \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 acting on a sub-set of elements
- */
-//=======================================================================
-
-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;
-}
-
-//=======================================================================
-
-namespace
-{
- // Position of a point relative to a segment
- // . .
- // . LEFT .
- // . .
- // VERTEX 1 o----ON-----> VERTEX 2
- // . .
- // . RIGHT .
- // . .
- enum PositionName { POS_LEFT = 1, POS_VERTEX = 2, POS_RIGHT = 4, //POS_ON = 8,
- POS_ALL = POS_LEFT | POS_RIGHT | POS_VERTEX };
- struct PointPos
- {
- PositionName _name;
- int _index; // index of vertex or segment
-
- PointPos( PositionName n, int i=-1 ): _name(n), _index(i) {}
- bool operator < (const PointPos& other ) const
- {
- if ( _name == other._name )
- return ( _index < 0 || other._index < 0 ) ? false : _index < other._index;
- return _name < other._name;
- }
- };
-
- //================================================================================
- /*!
- * \brief Return of a point relative to a segment
- * \param point2D - the point to analyze position of
- * \param xyVec - end points of segments
- * \param index0 - 0-based index of the first point of segment
- * \param posToFindOut - flags of positions to detect
- * \retval PointPos - point position
- */
- //================================================================================
-
- PointPos getPointPosition( const gp_XY& point2D,
- const gp_XY* segEnds,
- const int index0 = 0,
- const int posToFindOut = POS_ALL)
- {
- const gp_XY& p1 = segEnds[ index0 ];
- const gp_XY& p2 = segEnds[ index0+1 ];
- const gp_XY grad = p2 - p1;
-
- if ( posToFindOut & POS_VERTEX )
- {
- // check if the point2D is at "vertex 1" zone
- gp_XY pp1[2] = { p1, gp_XY( p1.X() - grad.Y(),
- p1.Y() + grad.X() ) };
- if ( getPointPosition( point2D, pp1, 0, POS_LEFT|POS_RIGHT )._name == POS_LEFT )
- return PointPos( POS_VERTEX, index0 );
-
- // check if the point2D is at "vertex 2" zone
- gp_XY pp2[2] = { p2, gp_XY( p2.X() - grad.Y(),
- p2.Y() + grad.X() ) };
- if ( getPointPosition( point2D, pp2, 0, POS_LEFT|POS_RIGHT )._name == POS_RIGHT )
- return PointPos( POS_VERTEX, index0 + 1);
- }
- double edgeEquation =
- ( point2D.X() - p1.X() ) * grad.Y() - ( point2D.Y() - p1.Y() ) * grad.X();
- return PointPos( edgeEquation < 0 ? POS_LEFT : POS_RIGHT, index0 );
- }
-}
-
-//=======================================================================
-/*!
- * \brief Return minimal distance from a point to a face
- *
- * Currently we ignore non-planarity and 2nd order of face
- */
-//=======================================================================
-
-double SMESH_MeshEditor::GetDistance( const SMDS_MeshFace* face,
- const gp_Pnt& point )
-{
- double badDistance = -1;
- if ( !face ) return badDistance;
-
- // coordinates of nodes (medium nodes, if any, ignored)
- typedef SMDS_StdIterator< SMESH_TNodeXYZ, SMDS_ElemIteratorPtr > TXyzIterator;
- vector<gp_XYZ> xyz( TXyzIterator( face->nodesIterator()), TXyzIterator() );
- xyz.resize( face->NbCornerNodes()+1 );
-
- // transformation to get xyz[0] lies on the origin, xyz[1] lies on the Z axis,
- // and xyz[2] lies in the XZ plane. This is to pass to 2D space on XZ plane.
- gp_Trsf trsf;
- gp_Vec OZ ( xyz[0], xyz[1] );
- gp_Vec OX ( xyz[0], xyz[2] );
- if ( OZ.Magnitude() < std::numeric_limits<double>::min() )
- {
- if ( xyz.size() < 4 ) return badDistance;
- OZ = gp_Vec ( xyz[0], xyz[2] );
- OX = gp_Vec ( xyz[0], xyz[3] );
- }
- gp_Ax3 tgtCS;
- try {
- tgtCS = gp_Ax3( xyz[0], OZ, OX );
- }
- catch ( Standard_Failure ) {
- return badDistance;
- }
- trsf.SetTransformation( tgtCS );
-
- // move all the nodes to 2D
- vector<gp_XY> xy( xyz.size() );
- for ( size_t i = 0;i < xyz.size()-1; ++i )
- {
- gp_XYZ p3d = xyz[i];
- trsf.Transforms( p3d );
- xy[i].SetCoord( p3d.X(), p3d.Z() );
- }
- xyz.back() = xyz.front();
- xy.back() = xy.front();