/// <summary>
/// Iterate all components of the vertexId.
/// </summary>
/// <param name="tree"> The MTG. </param>
/// <param name="vertexId"> The vertex from which the iteration begins. </param>
/// <returns> Iterator on components of the MTG starting from a vertex. </returns>
public IEnumerable <int> MtgIterator(mtg tree, int vertexId)
{
Dictionary <int, bool> visited = new Dictionary <int, bool>();
visited.Add(vertexId, true);
int complexId = vertexId;
int maxScale = tree.MaxScale();
yield return(vertexId);
foreach (int vertex in tree.ComponentRootsAtScale(complexId, maxScale))
{
foreach (int vid in IterativePreOrder(tree, vertex))
{
foreach (int node in ScaleIterator(tree, vid, complexId, visited))
{
yield return(node);
}
}
}
}
/// <summary>
/// Compute an mtg from a tree and the list of vertices to be quotiented.
/// </summary>
/// <param name="tree"></param>
/// <param name="colors"></param>
/// <returns></returns>
public List <dynamic> ColoredTree(mtg tree, Dictionary <int, List <int> > colors)
{
int nbScales = colors.Keys.Max() + 1;
Dictionary <int, Dictionary <int, int> > mapIndex = new Dictionary <int, Dictionary <int, int> >()
{
};
mtg g = new mtg();
// Scale 0 : 1 vertex
int count = 1;
for (int scale = 1; scale < nbScales; scale++)
{
mapIndex.Add(scale, new Dictionary <int, int>());
foreach (int id in colors[scale])
{
mapIndex[scale].Add(id, count);
count++;
}
}
// Build the MTG
// 1 - Add multiscale info
Dictionary <int, int> indexScale = mapIndex[1];
foreach (int id in colors[1])
{
g.AddComponent(g.root, componentId: indexScale[id]);
}
// 2 - Edit the graph with multiscale info
for (int scale = 2; scale < nbScales; scale++)
{
Dictionary <int, int> previousIndexScale = indexScale;
indexScale = mapIndex[scale];
foreach (int id in colors[scale])
{
int complexId = previousIndexScale[id];
int componentId = indexScale[id];
if (complexId != -1)
{
g.AddComponent(complexId, componentId: componentId);
}
else
{
if (componentId != -1)
{
if (g.scale.ContainsKey(componentId))
{
g.scale[componentId] = scale;
}
else
{
g.scale.Add(componentId, scale);
}
}
}
}
}
// 3 - Copy the tree information in the MTG
if (tree is mtg)
{
int maxScale = tree.MaxScale();
foreach (int vertexId in tree.parent.Keys)
{
int parent = tree.parent[vertexId];
if (parent != -1 && tree.Scale(parent) == maxScale)
{
g.parent.Add(indexScale[vertexId], indexScale[parent]);
}
}
foreach (int parent in tree.children.Keys)
{
if (tree.Scale(parent) == maxScale)
{
List <int> childrenToAdd = new List <int>();
foreach (int id in tree.children[parent])
{
childrenToAdd.Add(indexScale[id]);
}
if (g.children.ContainsKey(indexScale[parent]))
{
g.children[indexScale[parent]] = childrenToAdd;
}
else
{
g.children.Add(indexScale[parent], childrenToAdd);
}
}
}
}
else
{
foreach (int vertexId in tree.parent.Keys)
{
int parent = tree.parent[vertexId];
g.parent.Add(indexScale[vertexId], indexScale[parent]);
}
foreach (int parent in tree.children.Keys)
{
List <int> childrenToAdd = new List <int>();
foreach (int id in tree.children[parent])
{
childrenToAdd.Add(indexScale[id]);
}
if (g.children.ContainsKey(indexScale[parent]))
{
g.children[indexScale[parent]] = childrenToAdd;
}
else
{
g.children.Add(indexScale[parent], childrenToAdd);
}
}
}
// 4- Copy the properties of the tree
foreach (string propertyName in tree.Properties().Keys)
{
if (!g.properties.ContainsKey(propertyName))
{
g.properties.Add(propertyName, new Dictionary <int, dynamic>());
}
Dictionary <int, dynamic> props = tree.properties[propertyName];
int maxScale = tree.MaxScale();
foreach (int id in props.Keys)
{
if (tree.Scale(id) == maxScale)
{
g.properties[propertyName].Add(indexScale[id], props[id]);
}
}
}
List <dynamic> returnedValue = new List <dynamic>();
returnedValue[0] = FatMtg(g);
returnedValue[1] = indexScale.Values.Zip(indexScale.Keys, (K, V) => new { Key = K, Value = V }).ToDictionary(x => x.Key, x => x.Value);
return(returnedValue);
}
/// <summary>
/// Compute missing edges at each scale of the slimMtg. It is based
/// on the explicit edges that are defined at finer scales and
/// decomposition relantionships.
/// </summary>
/// <param name="slimMtg"></param>
/// <param name="preserveOrder"> If true, the order of the children at the coarsest scales
/// is deduced from the order of children at finest scale. </param>
/// <returns> Computed tree. </returns>
public mtg FatMtg(mtg slimMtg, bool preserveOrder = false)
{
int maxScale = slimMtg.MaxScale();
Dictionary <int, dynamic> edgeTypeProperty = slimMtg.Property("Edge_Type");
for (int scale = maxScale - 1; scale > 0; scale--)
{
ComputeMissingEdges(slimMtg, scale, edgeTypeProperty);
if (preserveOrder)
{
foreach (int v in slimMtg.Vertices(scale))
{
List <int> cref = slimMtg.Children(v);
if (cref.Count > 1)
{
List <int> cmp = new List <int>();
foreach (int x in cref)
{
cmp.Add(slimMtg.ComponentRoots(x)[0]);
}
Dictionary <int, int> cmpDic = cmp.Zip(cref, (K, V) => new { Key = K, Value = V }).ToDictionary(x => x.Key, x => x.Value);
traversal t = new traversal();
List <int> descendants = t.IterativePostOrder(slimMtg, slimMtg.ComponentRoots(v)[0]).ToList();
List <int> orderedChildren = new List <int>();
foreach (int x in descendants)
{
if (cmp.Contains(x))
{
orderedChildren.Add(x);
}
}
List <int> ch = new List <int>();
foreach (int c in orderedChildren)
{
if (cmpDic.ContainsKey(c))
{
ch.Add(cmpDic[c]);
}
}
if (slimMtg.children.ContainsKey(v))
{
slimMtg.children[v] = ch;
}
else
{
slimMtg.children.Add(v, ch);
}
}
}
}
}
return(slimMtg);
}
