/// <summary>
/// Add a person to the MPQ-Tree
/// If this fails the graph is no interval graph
/// </summary>
/// <param name="person"></param>
/// <returns>If false adding the person fails</returns>
public bool AddVertice(Person person)
{
//Can be omitted if person has no neighbors or there are no nodes
if (person.Neighbors.Count > 0 && root != null)
{
//nDown is the lowest node on P with label 1 or infinity
//If there is a node with the label 0 or 1 let nUp be the highest such node else nUp is nDown
//nCurrent is the current node between nDown and nUp
BaseNode nUp = null, nDown, nCurrent;
//List of the persons in A for a certain node
Dictionary <BaseNode, List <Person> > ALists = new Dictionary <BaseNode, List <Person> >();
//Represents a path P from the root to a positively labeled leaf
Dictionary <BaseNode, BaseNode> rootedPath = new Dictionary <BaseNode, BaseNode>();
Dictionary <BaseNode, bool> flagMap = new Dictionary <BaseNode, bool>();
foreach (BaseNode node in nodePointer.Values)
{
flagMap[node] = false;
}
//All nodes that have to be check whether they are contained on a path
Queue <BaseNode> QueueToCheck = new Queue <BaseNode>();
//Check all neighbors
foreach (Person neighbor in person.Neighbors)
{
//Ignore persons who are not part of the tree
if (neighbor.Position < person.Position)
{
//The node the current neighbor belongs to
BaseNode associatedNode = nodePointer[neighbor];
if (associatedNode is Section)
{
Section associatedSection = associatedNode as Section;
//The neighbor must be contained in an outer section
if (associatedSection.RightNeighbor == null && associatedSection.LeftNeighbor == null)
{
return(false);
}
}
//Creates a new A list for the current node
if (!ALists.ContainsKey(associatedNode))
{
ALists.Add(associatedNode, new List <Person>());
}
//Adds the current neighbor to the A list
ALists[associatedNode].Add(neighbor);
//Remove the current neighbor from the B list
associatedNode.ContainedPersons.Remove(positionPointers[neighbor]);
QueueToCheck.Enqueue(associatedNode);
}
}
//Current person has no neighbors, which are in the tree
if (QueueToCheck.Count == 0)
{
//We have already a PNode without contained persons as root -> no need to create one
if (root is PNode && root.ContainedPersons.Count == 0)
{
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
leaf.Father = root;
}
//Create a new PNode without contained persons
else
{
PNode newRoot = new PNode(this);
newRoot.AddFirstChild(root);
newRoot.Father = null;
Leaf leaf = new Leaf(this);
leaf.Father = newRoot;
leaf.AddContainedPerson(person);
}
return(true);
}
BaseNode currentNode;
//Flag all elements on QueueToCheck
while (QueueToCheck.Count > 0)
{
currentNode = QueueToCheck.Dequeue();
//Node not yet visited
flagMap[currentNode] = true;
if (currentNode.Father != null)
{
//Father has to be flagged too
QueueToCheck.Enqueue(currentNode.Father);
//All nodes must be on a path -> if the current node is not a duplicate it may not be on the rooted path
if (!(currentNode is Section))
{
if (rootedPath.ContainsKey(currentNode.Father) && rootedPath[currentNode.Father] != currentNode)
{
return(false);
}
}
//Things are different with section: There may be multiple sections of one QNode, but only one of them may be a outer section
else if (rootedPath.ContainsKey(currentNode.Father) && currentNode != rootedPath[currentNode.Father])
{
Section currentSection = currentNode as Section;
Section otherContainedSection = rootedPath[currentNode.Father] as Section;
if (currentSection.LeftNeighbor == null || currentSection.RightNeighbor == null)
{
if (!(otherContainedSection.LeftNeighbor == null || otherContainedSection.RightNeighbor == null))
{
rootedPath[currentNode.Father] = currentNode;
}
else
{
return(false); //There is no path
}
}
}
//Keep a link from the father to its son
rootedPath[currentNode.Father] = currentNode;
}
}
//The path must start at the root
currentNode = root;
//Travers the rooted path downwards to find nUp
while (rootedPath.ContainsKey(currentNode))
{
//nUp not found yet
if (nUp == null)
{
//B mustn't be empty (-> label is not Infinity)
if (currentNode.ContainedPersons.Count > 0)
{
if (currentNode is Section)
{
//The path must go through a outer section
Section currentSection = currentNode as Section;
if (currentSection.LeftNeighbor != null && currentSection.RightNeighbor != null)
{
return(false);
}
//nUp must be a qNode containing the Section fulfilling the condition
nUp = currentNode.Father as QNode;
}
else if (currentNode is PNode)
{
nUp = currentNode;
}
}
}
currentNode = rootedPath[currentNode];
}
//If currentNode is a Section get the associated QNode
if (currentNode is Section)
{
currentNode = currentNode.Father;
}
//nDown is the lowest node on the path P
nDown = currentNode;
//If there is no node matching the conditions for nUp, nUp is nDown
if (nUp == null)
{
nUp = nDown;
}
//nCurrent must be traversed bottom-up (-> is set to nDown at start)
nCurrent = nDown;
//The path between nDown and nUp
Dictionary <BaseNode, BaseNode> progressionPath = new Dictionary <BaseNode, BaseNode>();
currentNode = nDown;
//Build a path from nDown to nUp
if (nUp == nDown)
{
progressionPath.Add(nDown, null);
}
else
{
while (currentNode != null)
{
progressionPath.Add(currentNode, currentNode.Father);
currentNode = currentNode.Father;
}
}
//Apply templates
do
{
if (!ALists.ContainsKey(nCurrent))
{
//AList are generated for Sections -> need to be transformed to QNodes
if (nCurrent is QNode)
{
QNode currentQNode = nCurrent as QNode;
if (ALists.ContainsKey(currentQNode.OuterSectionLeft))
{
ALists[nCurrent] = ALists[currentQNode.OuterSectionLeft];
ALists.Remove(currentQNode.OuterSectionLeft);
}
else if (ALists.ContainsKey(currentQNode.OuterSectionRight))
{
ALists[nCurrent] = ALists[currentQNode.OuterSectionRight];
ALists.Remove(currentQNode.OuterSectionRight);
}
else
{
ALists[nCurrent] = new List <Person>();
}
}
else
{
ALists[nCurrent] = new List <Person>();
}
}
//Templates L1 and L2
if (nCurrent is Leaf)
{
//Template L1
if (nUp == nDown)
{
//B is empty
if (nCurrent.ContainedPersons.Count == 0)
{
nCurrent.AddContainedRange(ALists[nCurrent]);
nCurrent.AddContainedPerson(person);
}
//B is not empty
else
{
PNode pNode = new PNode(this);
pNode.Father = nCurrent.Father;
Leaf leaf = new Leaf(this);
leaf.Father = pNode;
leaf.AddContainedPerson(person);
pNode.AddLastChild(nCurrent);
pNode.AddContainedRange(ALists[nCurrent]);
}
}
//Template L2
else
{
QNode qNode = new QNode(this);
qNode.Father = nCurrent.Father;
Section section1 = qNode.AddNewLastSection();
Section section2 = qNode.AddNewLastSection();
section1.AddContainedRange(ALists[nCurrent]);
section2.AddContainedRange(ALists[nCurrent]);
Leaf leaf = new Leaf(this);
leaf.Father = section1;
leaf.AddContainedPerson(person);
nCurrent.Father = section2;
}
}
//Templates P1, P2 and P3
else if (nCurrent is PNode)
{
//Template P1
if (nUp == nDown)
{
//B is empty
if (nCurrent.ContainedPersons.Count == 0)
{
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
leaf.Father = nCurrent;
nCurrent.AddContainedRange(ALists[nCurrent]);
}
//B is not empty
else
{
PNode pNode = new PNode(this);
pNode.Father = nCurrent.Father;
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
leaf.Father = pNode;
nCurrent.Father = pNode;
}
}
//Template P2
else if (nCurrent == nDown) //No need to check nDown != nUp (previously checked)
{
QNode qNode = new QNode(this);
qNode.Father = nCurrent.Father;
Section section1 = qNode.AddNewLastSection();
Section section2 = qNode.AddNewLastSection();
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
leaf.Father = section1;
nCurrent.Father = section2;
section1.AddContainedRange(ALists[nCurrent]);
section2.AddContainedRange(ALists[nCurrent]);
}
//Template P3
else if (nCurrent != nDown)
{
PNode currentPNode = nCurrent as PNode;
QNode currentQNode = currentPNode.SomeSon as QNode;
//No need to edit the father correctly; this will happen in Q3
if (currentPNode.Father is Section)
{
foreach (Person p in currentPNode.Father.ContainedPersons)
{
currentPNode.ContainedPersons.AddLast(p);
}
}
if (currentQNode != null && currentQNode.OuterSectionLeft.Son.ContainedPersons.First.Value == person)
{
QNode newQNode = new QNode(this);
newQNode.Father = currentPNode.Father;
Section currentSection = currentQNode.OuterSectionLeft.RightNeighbor;
while (currentSection != null)
{
Section newSection = newQNode.AddNewLastSection();
currentSection.Son.Father = newSection;
IEnumerable <Person> newContainedPersons = ALists[nCurrent].Union(nCurrent.ContainedPersons).Union(currentSection.ContainedPersons);
newSection.AddContainedRange(newContainedPersons);
currentSection = currentSection.RightNeighbor;
}
Section lastNewSection = newQNode.AddNewLastSection();
Section section1 = newQNode.AddNewFirstSection();
currentQNode.OuterSectionLeft.Son.Father = section1;
section1.AddContainedRange(ALists[nCurrent].Union(currentQNode.OuterSectionLeft.ContainedPersons));
PNode newPNode = new PNode(this);
newPNode.Father = lastNewSection;
lastNewSection.AddContainedRange(ALists[nCurrent].Union(nCurrent.ContainedPersons));
foreach (BaseNode node in currentPNode.Children.ToArray())
{
if (node != currentQNode)
{
newPNode.AddLastChild(node);
}
}
}
currentPNode.Vanish();
}
}
//Templates Q1, Q2 and Q3
else if (nCurrent is QNode)
{
//Templates Q1 and Q2
if (nCurrent == nDown)
{
QNode currentQNode = currentNode as QNode;
//Template Q1
if (!ALists[currentQNode].Except(currentQNode.OuterSectionRight.ContainedPersons).Any())
{
if (nUp == nDown)
{
PNode pNode = new PNode(this);
pNode.Father = nCurrent.Father;
Leaf leaf = new Leaf(this);
pNode.AddFirstChild(leaf);
leaf.AddContainedPerson(person);
pNode.AddContainedRange(ALists[nCurrent]);
Section currentSection = currentQNode.OuterSectionLeft;
while (currentSection != null)
{
//Removes a from all sections
currentSection.ContainedPersons = new LinkedList <Person>(currentSection.ContainedPersons.Except(ALists[nCurrent]));
currentSection = currentSection.RightNeighbor;
}
pNode.AddLastChild(currentQNode);
}
else
{
QNode newQNode = new QNode(this);
newQNode.Father = nCurrent.Father;
Section firstSection = newQNode.AddNewLastSection();
Section secondSection = newQNode.AddNewLastSection();
Leaf leaf = new Leaf(this);
leaf.Father = firstSection;
leaf.AddContainedPerson(person);
firstSection.AddContainedRange(ALists[nCurrent]);
secondSection.AddContainedRange(ALists[nCurrent]);
Section currentSection = currentQNode.OuterSectionLeft;
while (currentSection != null)
{
//Removes a from all sections
currentSection.ContainedPersons = new LinkedList <Person>(currentSection.ContainedPersons.Except(ALists[nCurrent]));
currentSection = currentSection.RightNeighbor;
}
currentQNode.Father = secondSection;
}
}
//Template Q2
else
{
//B is empty
if (nCurrent.ContainedPersons.Count == 0)
{
PNode pNode = new PNode(this);
pNode.AddFirstChild(currentQNode.OuterSectionLeft.Son);
pNode.Father = currentQNode.OuterSectionLeft;
currentQNode.OuterSectionLeft.AddContainedRange(ALists[nCurrent]);
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
pNode.AddFirstChild(leaf);
}
else if (nCurrent.ContainedPersons.Count == 0 || nUp != nDown)
{
Section section = currentQNode.AddNewFirstSection();
section.AddContainedRange(ALists[nCurrent]);
Leaf leaf = new Leaf(this);
leaf.Father = section;
leaf.AddContainedPerson(person);
}
}
}
//Template Q3
else
{
QNode currentQNode = nCurrent as QNode;
QNode currentLowerQNode = null;
Section parentSection;
parentSection = currentQNode.OuterSectionLeft as Section;
if (currentQNode.OuterSectionLeft.Son is QNode)
{
parentSection = currentQNode.OuterSectionLeft;
currentLowerQNode = parentSection.Son as QNode;
}
if (currentLowerQNode != null && currentLowerQNode.OuterSectionLeft.Son.ContainedPersons.First.Value == person)
{
currentQNode.RemoveSection(parentSection);
Section currentSection = currentLowerQNode.OuterSectionRight;
while (currentSection.LeftNeighbor != null)
{
Section newSection = currentQNode.AddNewFirstSection();
if (currentSection.Son != null)
{
currentSection.Son.Father = newSection;
}
IEnumerable <Person> newContainedPersons = ALists[nCurrent].Union(nCurrent.ContainedPersons).Union(currentSection.ContainedPersons);
newSection.AddContainedRange(newContainedPersons);
currentSection = currentSection.LeftNeighbor;
}
Section firstNewSection;
firstNewSection = currentQNode.AddNewFirstSection();
currentLowerQNode.OuterSectionLeft.Son.Father = firstNewSection;
firstNewSection.AddContainedRange(currentLowerQNode.OuterSectionLeft.ContainedPersons.Union(ALists[nCurrent]));
}
}
}
//Remove the AList of nCurrent -> every AList contained in the end has to be written back
ALists.Remove(nCurrent);
//Go one node up
nCurrent = progressionPath[nCurrent];
//If nCurrent now is a Section get the associated QNode
if (nCurrent is Section)
{
Section currentSection = nCurrent as Section;
nCurrent = currentSection.Father;
}
}while (nCurrent != null);
//Add the unused ALists
foreach (BaseNode baseNode in ALists.Keys)
{
baseNode.AddContainedRange(ALists[baseNode]);
}
//Check all manipulated PNodes
//Helper templates might be necessary
foreach (PNode pNode in manipulatedPNodes.ToArray())
{
//Template H1
if (pNode.ContainedPersons.Count == 0 && pNode.Children.Count == 1 && pNode.Father != pNode)
{
pNode.Children.First.Value.Father = pNode.Father;
pNode.Vanish();
}
//Template H2
else if (pNode.Father is PNode)
{
PNode fatherPNode = pNode.Father as PNode;
if (fatherPNode.ContainedPersons.Count == 0 && pNode.ContainedPersons.Count == 0)
{
foreach (BaseNode node in pNode.Children.ToArray())
{
fatherPNode.AddLastChild(node);
}
pNode.Vanish();
}
}
}
manipulatedPNodes.Clear();
}
else
{
if (person.Neighbors.Count == 0 && root != null)
{
//We have already a PNode without contained persons as root -> no need to create one
if (root is PNode && root.ContainedPersons.Count == 0)
{
Leaf leaf = new Leaf(this);
leaf.AddContainedPerson(person);
leaf.Father = root;
}
//Create a new PNode without contained persons
else
{
PNode newRoot = new PNode(this);
newRoot.AddFirstChild(root);
newRoot.Father = null;
Leaf leaf = new Leaf(this);
leaf.Father = newRoot;
leaf.AddContainedPerson(person);
}
}
//Create a new leaf
else if (root == null)
{
Leaf leaf = new Leaf(this);
leaf.Father = root;
leaf.AddContainedPerson(person);
}
}
return(true);
}