/// <summary>
/// Returns the record in remaininglist with the largest affinity for
/// one group over the other.
/// </summary>
/// <param name="remainingList"></param>
/// <param name="groupOne"></param>
/// <param name="groupTwo"></param>
/// <param name="D1"></param>
/// <param name="D2"></param>
/// <returns></returns>
private static IndexRecord <T> pickNext(List <IndexRecord <T> > remainingList,
NodeRecord <T> groupOne, NodeRecord <T> groupTwo,
out int D1, out int D2)
{
IndexRecord <T> nextRecord = null;
int maxDiff = int.MinValue;
D1 = 0;
D2 = 0;
int diff, d1, d2;
foreach (var record in remainingList)
{
// PN1.
d1 = RTree <T> .EnclosingArea(groupOne.BBox, record.BBox) - groupOne.BBox.GetArea();
d2 = RTree <T> .EnclosingArea(groupTwo.BBox, record.BBox) - groupTwo.BBox.GetArea();
diff = Math.Abs(d2 - d1);
if (diff > maxDiff)
{
maxDiff = diff;
// PN2.
D1 = d1;
D2 = d2;
nextRecord = record;
}
}
return(nextRecord);
}
/// <summary>
/// Returns the two index records in the remaininglist that, if put into a node,
/// would have the largest bouding box of any two records.
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
private void pickSeeds(List <IndexRecord <T> > remainingList, out IndexRecord <T> a, out IndexRecord <T> b)
{
int maxD = int.MinValue;
a = null;
b = null;
foreach (var childNodeA in remainingList)
{
foreach (var childNodeB in remainingList)
{
if (childNodeA == childNodeB)
{
continue;
}
int D = RTree <T> .EnclosingArea(childNodeA.BBox, childNodeB.BBox);
// PS1.
// This is a measure inefficiency of grouping items together.
D = D - childNodeA.BBox.GetArea() - childNodeB.BBox.GetArea();
if (D > maxD)
{
// PS2.
maxD = D;
a = childNodeA;
b = childNodeB;
}
}
}
}
/// <summary>
/// Splits this node into two based on the chosen algorithm.
/// Returns a new node with some of the records. This node
/// retains some of the records as well.
/// </summary>
/// <param name="item"></param>
/// <returns></returns>
public NodeRecord <T> Split(IndexRecord <T> item)
{
NodeRecord <T> newNode = Node.SplitQuadradic(item);
ResizeBBox();
// newNode's bounding box should be the right size already.
return(newNode);
}
/// <summary>
/// Attempts to insert a record.
/// If this succeeds, it resizes the bouding box.
/// Otherwise return false.
/// </summary>
/// <param name="item"></param>
/// <returns></returns>
public bool TryInsert(IndexRecord <T> item)
{
bool success = Node.TryInsert(item);
if (success)
{
ResizeBBox();
}
return(success);
}
/// <summary>
/// Attempts to insert an item into this's list of records.
/// If it fails, returns false (the node needs to split).
/// </summary>
/// <param name="item"></param>
/// <returns></returns>
public bool TryInsert(IndexRecord <T> item)
{
if (records.Count < M)
{
records.Add(item);
// Bounding box resizing must be handled by calling function.
return(true);
}
else
{
// Need to split.
return(false);
}
}
/// <summary>
/// Utilizes the Quadradic split algorithm to determine where each
/// of the records go - either to group one or group two.
/// </summary>
/// <param name="newItem"></param>
/// <returns></returns>
public NodeRecord <T> SplitQuadradic(IndexRecord <T> newItem)
{
List <IndexRecord <T> > itemsToBeAssigned = records;
itemsToBeAssigned.Add(newItem);
IndexRecord <T> A, B;
// QS1.
pickSeeds(itemsToBeAssigned, out A, out B);
itemsToBeAssigned.Remove(A);
itemsToBeAssigned.Remove(B);
NodeRecord <T> groupOne = new NodeRecord <T>()
{
BBox = A.BBox, Node = new RTreeNode <T>(isLeaf)
};
NodeRecord <T> groupTwo = new NodeRecord <T>()
{
BBox = B.BBox, Node = new RTreeNode <T>(isLeaf)
};
groupOne.Node.TryInsert(A);
groupTwo.Node.TryInsert(B);
// QS2.
while (itemsToBeAssigned.Count > 0)
{
// QS3.
int d1, d2;
var next = pickNext(itemsToBeAssigned, groupOne, groupTwo, out d1, out d2);
if (d1 < d2)
{
groupOne.TryInsert(next);
}
else if (d2 < d1)
{
groupTwo.TryInsert(next);
}
else
{
// Insert to whichever is smaller.
if (groupOne.Node.GetRecordCount() < groupTwo.Node.GetRecordCount())
{
groupOne.TryInsert(next);
}
else
{
groupTwo.TryInsert(next);
}
}
itemsToBeAssigned.Remove(next);
// QS2.
if (groupOne.Node.GetRecordCount() + itemsToBeAssigned.Count <= m)
{
while (itemsToBeAssigned.Count > 0)
{
groupOne.TryInsert(itemsToBeAssigned.First());
itemsToBeAssigned.Remove(itemsToBeAssigned.First());
}
}
// QS2.
if (groupTwo.Node.GetRecordCount() + itemsToBeAssigned.Count <= m)
{
while (itemsToBeAssigned.Count > 0)
{
groupTwo.TryInsert(itemsToBeAssigned.First());
itemsToBeAssigned.Remove(itemsToBeAssigned.First());
}
}
}
// Set this equal to group two.
records = groupTwo.Node.records;
return(groupOne);
}