private void BuildCoNodes (List<int> connectedComponent)
{
int nNodes = connectedComponent.Count;
for(int i=0; i<nNodes; i++) {
int curIndex=connectedComponent[i];
CoNode cur = coNodes[curIndex];
INode curNode = cur.Parent;
for(int j=i; j<nNodes; j++) {
int toIndex = connectedComponent[j];
CoNode to = coNodes[toIndex];
INode toNode = to.Parent;
if(!nodeNeighborMap[curNode].ContainsKey(toNode)) {
continue;
}
IEdgeList edges = nodeNeighborMap[curNode][toNode];
bool compositeEdgeIsDirected = false;
foreach(var e in edges) {
if(e.Type.Directedness == Directedness.Directed) {
compositeEdgeIsDirected=true;
}
}
if(compositeEdgeIsDirected) {
//create two coNodes
CoNode nearCur = new CoNode();
CoNode nearTo = new CoNode();
int nearCurIndex = coNodes.Count;
int nearToIndex = coNodes.Count+1;
coNodes.Add(nearCur);
coNodes.Add(nearTo);
connectedComponent.Add(nearCurIndex);
connectedComponent.Add(nearToIndex);
long nearCurTypeID = 1L;
long nearToTypeID = 1L;
foreach(var e in edges) {
int baseEdgeTypeID = (int) edgeTypeNameIDMap[elementTypeNameMap[e]];
if(e.Type.Directedness==Directedness.Directed) {
if(e.Source==curNode) {
nearCurTypeID *= GetPrime(baseEdgeTypeID +(int)CoEdgeTypeOffsets.Head);
nearToTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Tail);
} else if(e.Target==curNode) {
nearCurTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Tail);
nearToTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Head);
}
} else if (e.Type.Directedness==Directedness.Undirected) {
long edgePrime = GetPrime(baseEdgeTypeID);
nearCurTypeID *= edgePrime;
nearToTypeID *= edgePrime;
}
else {
throw new Exception ("Unsupported directedness type");
}
}
//fill in typeids
edgeCoNodeTypeIDs.Add(nearCurTypeID);
edgeCoNodeTypeIDs.Add(nearToTypeID);
//fill in neighbor lists
cur.Neighbors.Add (nearCurIndex);
nearCur.Neighbors.Add (curIndex);
nearCur.Neighbors.Add (nearToIndex);
nearTo.Neighbors.Add (nearCurIndex);
nearTo.Neighbors.Add (toIndex);
to.Neighbors.Add (nearToIndex);
} else {
//create just one coNode representing the undirected edge
CoNode middle = new CoNode();
int middleIndex = coNodes.Count;
coNodes.Add(middle);
connectedComponent.Add(middleIndex);
long ueTypeID = 1L;
foreach(var e in edges) {
long baseEdgeTypeID = GetPrime((int) edgeTypeNameIDMap[elementTypeNameMap[e]]);
ueTypeID *= baseEdgeTypeID;
}
edgeCoNodeTypeIDs.Add(ueTypeID);
//fill in the neighbors
coNodes[curIndex].Neighbors.Add(middleIndex);
coNodes[toIndex].Neighbors.Add(middleIndex);
coNodes[middleIndex].Neighbors.Add(curIndex);
coNodes[middleIndex].Neighbors.Add(toIndex);
}
}
}
}
private void BuildCoNodes(List <int> connectedComponent)
{
int nNodes = connectedComponent.Count;
for (int i = 0; i < nNodes; ++i)
{
int curIndex = connectedComponent[i];
CoNode cur = coNodes[curIndex];
INode curNode = cur.Parent;
for (int j = i; j < nNodes; ++j)
{
int toIndex = connectedComponent[j];
CoNode to = coNodes[toIndex];
INode toNode = to.Parent;
if (!nodeNeighborMap[curNode].ContainsKey(toNode))
{
continue;
}
IEdgeList edges = nodeNeighborMap[curNode][toNode];
bool compositeEdgeIsDirected = false;
foreach (var e in edges)
{
if (e.Type.Directedness == Directedness.Directed)
{
compositeEdgeIsDirected = true;
}
}
if (compositeEdgeIsDirected)
{
//create two coNodes
CoNode nearCur = new CoNode();
CoNode nearTo = new CoNode();
int nearCurIndex = coNodes.Count;
int nearToIndex = coNodes.Count + 1;
coNodes.Add(nearCur);
coNodes.Add(nearTo);
connectedComponent.Add(nearCurIndex);
connectedComponent.Add(nearToIndex);
long nearCurTypeID = 1L;
long nearToTypeID = 1L;
foreach (var e in edges)
{
int baseEdgeTypeID = (int)edgeTypeNameIDMap[elementTypeNameMap[e]];
if (e.Type.Directedness == Directedness.Directed)
{
if (e.Source == curNode)
{
nearCurTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Head);
nearToTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Tail);
}
else if (e.Target == curNode)
{
nearCurTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Tail);
nearToTypeID *= GetPrime(baseEdgeTypeID + (int)CoEdgeTypeOffsets.Head);
}
}
else if (e.Type.Directedness == Directedness.Undirected)
{
long edgePrime = GetPrime(baseEdgeTypeID);
nearCurTypeID *= edgePrime;
nearToTypeID *= edgePrime;
}
else
{
throw new Exception("Unsupported directedness type");
}
}
//fill in typeids
edgeCoNodeTypeIDs.Add(nearCurTypeID);
edgeCoNodeTypeIDs.Add(nearToTypeID);
//fill in neighbor lists
cur.Neighbors.Add(nearCurIndex);
nearCur.Neighbors.Add(curIndex);
nearCur.Neighbors.Add(nearToIndex);
nearTo.Neighbors.Add(nearCurIndex);
nearTo.Neighbors.Add(toIndex);
to.Neighbors.Add(nearToIndex);
}
else
{
//create just one coNode representing the undirected edge
CoNode middle = new CoNode();
int middleIndex = coNodes.Count;
coNodes.Add(middle);
connectedComponent.Add(middleIndex);
long ueTypeID = 1L;
foreach (var e in edges)
{
long baseEdgeTypeID = GetPrime((int)edgeTypeNameIDMap[elementTypeNameMap[e]]);
ueTypeID *= baseEdgeTypeID;
}
edgeCoNodeTypeIDs.Add(ueTypeID);
//fill in the neighbors
coNodes[curIndex].Neighbors.Add(middleIndex);
coNodes[toIndex].Neighbors.Add(middleIndex);
coNodes[middleIndex].Neighbors.Add(curIndex);
coNodes[middleIndex].Neighbors.Add(toIndex);
}
}
}
}
/// <summary>
/// Canonize a graph
/// </summary>
/// <param name="graph">The graph to canonize.</param>
public string Canonize (LGSPGraph graph)
{
elementTypeNameMap = new Dictionary<IGraphElement, string> ();
//List of virtual nodes
coNodes = new List<CoNode> ();
nodeToCoNodeIndexMap = new Dictionary<INode, int> ();
typeNames = new List<string> ();
edgeTypeNames = new List<string> ();
//Build virtual node(s) for each node and edge
//Build the vNode -> typeID Map (2 entries for every directed edge class)
foreach (var n in graph.Nodes) {
string nodeTypeString = CanonizeElement (n);
elementTypeNameMap [n] = nodeTypeString;
if (!typeNames.Contains (nodeTypeString)) {
typeNames.Add (nodeTypeString);
}
CoNode con = new CoNode (n);
nodeToCoNodeIndexMap [n] = coNodes.Count;
coNodes.Add (con);
}
foreach (var e in graph.Edges) {
string edgeTypeString = CanonizeElement (e);
elementTypeNameMap [e] = edgeTypeString;
if (!edgeTypeNames.Contains (edgeTypeString)) {
edgeTypeNames.Add (edgeTypeString);
}
}
typeNames.Sort ();
edgeTypeNames.Sort ();
typeNameIDMap = new Dictionary<string, long> ();
edgeTypeNameIDMap = new Dictionary<string, long> ();
for (int i=0; i<typeNames.Count; i++) {
string typeName = typeNames [i];
typeNameIDMap [typeName] = (long)i;
}
{
//increment by 3, types reserved for undirected, tail, head
int index = 0;
for (int i=0; i<edgeTypeNames.Count; i++) {
string edgeTypeName = edgeTypeNames [i];
edgeTypeNameIDMap [edgeTypeName] = index;
index += 3;
}
}
coNodeTypeIDs = coNodes.ConvertAll (x => 0L);
foreach (var n in graph.Nodes) {
int index = nodeToCoNodeIndexMap [n];
string typeName = elementTypeNameMap [n];
coNodeTypeIDs [index] = (typeNameIDMap [typeName]);
}
nodeNeighborMap = new Dictionary<INode, Dictionary<INode, IEdgeList>> ();
//Fill in neighbormap
foreach (var curNode in graph.Nodes) {
Dictionary<INode, IEdgeList> neighborMap = new Dictionary<INode, IEdgeList> ();
foreach (var e in curNode.Incident) {
INode toNode = e.Opposite (curNode);
if (!neighborMap.ContainsKey (toNode)) {
neighborMap [toNode] = new IEdgeList ();
}
if (!neighborMap [toNode].Contains (e)) {
neighborMap [toNode].Add (e);
}
}
nodeNeighborMap [curNode] = neighborMap;
}
//Now every coNode corresponing to an INode has a correct typeID associated with it ...
//There is a disjoint set of IDs (starting at 0) reserved in the edgeTypeNameIDMap
edgeCoNodeTypeIDs = new List<long> ();
Dictionary<INode, bool> visitedNodeSet = new Dictionary<INode, bool> ();
connectedComponents = new List<List<int>> ();
//Partition into connected components
foreach (var n in graph.Nodes) {
if (!visitedNodeSet.ContainsKey (n)) {
visitedNodeSet [n] = true;
List<int> connectedComponent = new List<int> ();
BuildConnectedComponent (n, visitedNodeSet, connectedComponent);
BuildCoNodes(connectedComponent);
connectedComponents.Add (connectedComponent);
}
}
if (edgeCoNodeTypeIDs.Count != 0) {
PartialRankOrderList (edgeCoNodeTypeIDs);
for (int i=0; i<edgeCoNodeTypeIDs.Count; i++) {
edgeCoNodeTypeIDs [i] += (long)typeNames.Count;
}
}
//Concat the edgeTypeIDs (built in RecurisveCoNodeBuild) to coNodeTypeIDs
coNodeTypeIDs.AddRange(edgeCoNodeTypeIDs);
List<String> connectedComponentStrings = new List<String> (connectedComponents.Count);
foreach (var connectedComponent in connectedComponents) {
connectedComponentStrings.Add (CanonizeConnectedComponent (connectedComponent));
}
connectedComponentStrings.Sort ();
StringBuilder sb = new StringBuilder ();
for (int i=0; i<(connectedComponentStrings.Count-1); i++) {
sb.Append (connectedComponentStrings[i] + ".");
}
sb.Append(connectedComponentStrings[connectedComponentStrings.Count-1]);
return sb.ToString();
}
/// <summary>
/// Canonize a graph
/// </summary>
/// <param name="graph">The graph to canonize.</param>
public string Canonize(LGSPGraph graph)
{
elementTypeNameMap = new Dictionary <IGraphElement, string>();
//List of virtual nodes
coNodes = new List <CoNode>();
nodeToCoNodeIndexMap = new Dictionary <INode, int>();
typeNames = new List <string>();
edgeTypeNames = new List <string>();
//Build virtual node(s) for each node and edge
//Build the vNode -> typeID Map (2 entries for every directed edge class)
foreach (var n in graph.Nodes)
{
string nodeTypeString = CanonizeElement(n);
elementTypeNameMap[n] = nodeTypeString;
if (!typeNames.Contains(nodeTypeString))
{
typeNames.Add(nodeTypeString);
}
CoNode con = new CoNode(n);
nodeToCoNodeIndexMap[n] = coNodes.Count;
coNodes.Add(con);
}
foreach (var e in graph.Edges)
{
string edgeTypeString = CanonizeElement(e);
elementTypeNameMap[e] = edgeTypeString;
if (!edgeTypeNames.Contains(edgeTypeString))
{
edgeTypeNames.Add(edgeTypeString);
}
}
typeNames.Sort();
edgeTypeNames.Sort();
typeNameIDMap = new Dictionary <string, long>();
edgeTypeNameIDMap = new Dictionary <string, long>();
for (int i = 0; i < typeNames.Count; ++i)
{
string typeName = typeNames[i];
typeNameIDMap[typeName] = (long)i;
}
{
//increment by 3, types reserved for undirected, tail, head
int index = 0;
for (int i = 0; i < edgeTypeNames.Count; ++i)
{
string edgeTypeName = edgeTypeNames[i];
edgeTypeNameIDMap[edgeTypeName] = index;
index += 3;
}
}
coNodeTypeIDs = coNodes.ConvertAll(x => 0L);
foreach (var n in graph.Nodes)
{
int index = nodeToCoNodeIndexMap[n];
string typeName = elementTypeNameMap[n];
coNodeTypeIDs[index] = (typeNameIDMap[typeName]);
}
nodeNeighborMap = new Dictionary <INode, Dictionary <INode, IEdgeList> >();
//Fill in neighbormap
foreach (var curNode in graph.Nodes)
{
Dictionary <INode, IEdgeList> neighborMap = new Dictionary <INode, IEdgeList>();
foreach (var e in curNode.Incident)
{
INode toNode = e.Opposite(curNode);
if (!neighborMap.ContainsKey(toNode))
{
neighborMap [toNode] = new IEdgeList();
}
if (!neighborMap [toNode].Contains(e))
{
neighborMap [toNode].Add(e);
}
}
nodeNeighborMap[curNode] = neighborMap;
}
//Now every coNode corresponing to an INode has a correct typeID associated with it ...
//There is a disjoint set of IDs (starting at 0) reserved in the edgeTypeNameIDMap
edgeCoNodeTypeIDs = new List <long>();
Dictionary <INode, bool> visitedNodeSet = new Dictionary <INode, bool>();
connectedComponents = new List <List <int> >();
//Partition into connected components
foreach (var n in graph.Nodes)
{
if (!visitedNodeSet.ContainsKey(n))
{
visitedNodeSet[n] = true;
List <int> connectedComponent = new List <int>();
BuildConnectedComponent(n, visitedNodeSet, connectedComponent);
BuildCoNodes(connectedComponent);
connectedComponents.Add(connectedComponent);
}
}
if (edgeCoNodeTypeIDs.Count != 0)
{
PartialRankOrderList(edgeCoNodeTypeIDs);
for (int i = 0; i < edgeCoNodeTypeIDs.Count; ++i)
{
edgeCoNodeTypeIDs[i] += (long)typeNames.Count;
}
}
//Concat the edgeTypeIDs (built in RecurisveCoNodeBuild) to coNodeTypeIDs
coNodeTypeIDs.AddRange(edgeCoNodeTypeIDs);
List <String> connectedComponentStrings = new List <String>(connectedComponents.Count);
foreach (var connectedComponent in connectedComponents)
{
connectedComponentStrings.Add(CanonizeConnectedComponent(connectedComponent));
}
connectedComponentStrings.Sort();
StringBuilder sb = new StringBuilder();
for (int i = 0; i < (connectedComponentStrings.Count - 1); ++i)
{
sb.Append(connectedComponentStrings[i] + ".");
}
sb.Append(connectedComponentStrings[connectedComponentStrings.Count - 1]);
return(sb.ToString());
}
