private T GetSmallestContainingIntervalWorker(int start, int length, Func <T, int, int, bool> predicate)
{
var result = default(T);
if (root == null || MaxEndValue(root) < start)
{
return(result);
}
var end = start + length;
// * our interval tree is a binary tree that is ordered by a start position.
//
// this method works by
// 1. find a sub tree that has biggest "start" position that is smaller than given "start" by going down right side of a tree
// 2. once it encounters a right sub tree that it can't go down anymore, move down to left sub tree once and try #1 again
// 3. once it gets to the position where it can't find any smaller span (both left and
// right sub tree doesn't contain given span) start to check whether current node
// contains the given "span"
// 4. move up the spin until it finds one that contains the "span" which should be smallest span that contains the given "span"
// 5. if it is going up from right side, it make sure to check left side of tree first.
using (var pooledObject = SharedPools.Default <Stack <Node> >().GetPooledObject())
{
var spineNodes = pooledObject.Object;
spineNodes.Push(root);
while (spineNodes.Count > 0)
{
var currentNode = spineNodes.Peek();
// only goes to right if right tree contains given span
if (Introspector.GetStart(currentNode.Value) <= start)
{
var right = currentNode.Right;
if (right != null && end < MaxEndValue(right))
{
spineNodes.Push(right);
continue;
}
}
// right side, sub tree doesn't contain the given span, put current node on
// stack, and move down to left sub tree
var left = currentNode.Left;
if (left != null && end <= MaxEndValue(left))
{
spineNodes.Push(left);
continue;
}
// we reached the point, where we can't go down anymore.
// now, go back up to find best answer
while (spineNodes.Count > 0)
{
currentNode = spineNodes.Pop();
// check whether current node meets condition
if (predicate(currentNode.Value, start, length))
{
// hold onto best answer
if (EqualityComparer <T> .Default.Equals(result, default) ||
(Introspector.GetStart(result) <= Introspector.GetStart(currentNode.Value) &&
Introspector.GetLength(currentNode.Value) < Introspector.GetLength(result)))
{
result = currentNode.Value;
}
}
// there is no parent, result we currently have is the best answer
if (spineNodes.Count == 0)
{
return(result);
}
var parentNode = spineNodes.Peek();
// if we are under left side of parent node
if (parentNode.Left == currentNode)
{
// go one level up again
continue;
}
// okay, we are under right side of parent node
if (parentNode.Right == currentNode)
{
// try left side of parent node if it can have better answer
if (parentNode.Left != null && end <= MaxEndValue(parentNode.Left))
{
// right side tree doesn't have any answer or if the right side has
// an answer but left side can have better answer then try left side
if (EqualityComparer <T> .Default.Equals(result, default) ||
Introspector.GetStart(parentNode.Value) == Introspector.GetStart(currentNode.Value))
{
// put left as new root, and break out inner loop
spineNodes.Push(parentNode.Left);
break;
}
}
// no left side, go one more level up
continue;
}
}
}
return(result);
}
}
