private MyAVLTreeNode <T> Balance(MyAVLTreeNode <T> root)
{
root.TreeHeight = Math.Max(root.Left?.TreeHeight ?? 0,
root.Right?.TreeHeight ?? 0) + 1;
int firstDif = (root.Left?.TreeHeight ?? 0) - (root.Right?.TreeHeight ?? 0);
if (firstDif > 1)
{
int secondDif = (root.Left?.Left?.TreeHeight ?? 0) -
(root.Left?.Right?.TreeHeight ?? 0);
if (secondDif < 0)
{
root = LeftRightRotation(root);
}
root = LeftLeftRotation(root);
UpdateHeight(root);
}
else if (firstDif < -1)
{
int secondDif = (root.Right?.Left?.TreeHeight ?? 0) -
(root.Right?.Right?.TreeHeight ?? 0);
if (secondDif > 0)
{
root = RightLeftRotation(root);
}
root = RightRightRotation(root);
UpdateHeight(root);
}
return(root);
}
private MyAVLTreeNode <T> InsertHelper(T data,
MyAVLTreeNode <T> root)
{
if (root == null)
{
return(null);
}
var compared = data.CompareTo(root.Data);
if (compared > 0)
{
if (root.Right == null)
{
root.Right = new MyAVLTreeNode <T>(data, 1);
}
else
{
root.Right = InsertHelper(data, root.Right);
}
}
else
{
if (root.Left == null)
{
root.Left = new MyAVLTreeNode <T>(data, 1);
}
else
{
root.Left = InsertHelper(data, root.Left);
}
}
return(Balance(root));
}
private MyAVLTreeNode <T> LeftLeftRotation(MyAVLTreeNode <T> root)
{
var right = root;
root = root.Left;
right.Left = root.Right;
root.Right = right;
return(root);
}
private MyAVLTreeNode <T> RightRightRotation(MyAVLTreeNode <T> root)
{
var left = root;
root = root.Right;
left.Right = root.Left;
root.Left = left;
return(root);
}
private MyAVLTreeNode <T> FindSmallestNodeInRightSubTree(
MyAVLTreeNode <T> root)
{
if (root == null)
{
return(root);
}
var node = FindSmallestNodeInRightSubTree(root.Left);
return(node ?? root);
}
private MyAVLTreeNode <T> FindLargestNodeInLeftSubStree(MyAVLTreeNode <T> root)
{
if (root == null)
{
return(root);
}
var node = FindLargestNodeInLeftSubStree(root.Right);
return(node ?? root);
}
private int UpdateHeight(MyAVLTreeNode <T> root)
{
if (root == null)
{
return(0);
}
var left = UpdateHeight(root.Left);
var right = UpdateHeight(root.Right);
root.TreeHeight = Math.Max(left, right) + 1;
return(root.TreeHeight);
}
public void Insert(T data)
{
if (Root == null)
{
Root = new MyAVLTreeNode <T>(data);
}
else
{
Root = InsertHelper(data, Root);
}
Count++;
}
private MyAVLTreeNode <T> LeftRightRotation(MyAVLTreeNode <T> root)
{
var left = root.Left;
root.Left = root.Left.Right;
var temp = root.Left;
while (temp.Left != null)
{
temp = temp.Left;
}
temp.Left = left;
left.Right = null;
return(root);
}
private MyAVLTreeNode <T> RightLeftRotation(MyAVLTreeNode <T> root)
{
var right = root.Right;
root.Right = root.Right.Left;
var temp = root.Right;
while (temp.Right != null)
{
temp = temp.Right;
}
temp.Right = right;
right.Left = null;
return(root);
}
private void BalanceParent(MyAVLTreeNode <T> parent,
MyAVLTreeNode <T> root)
{
if (parent != null)
{
if (parent.Left != null && parent.Left.Equals(root))
{
parent.Left = Balance(root);
}
else
{
parent.Right = Balance(root);
}
}
else
{
Root = Balance(root);
}
}
private MyAVLTreeNode <T> FindHelper(MyAVLTreeNode <T> root,
T data)
{
if (root == null)
{
return(root);
}
if (root.Data.Equals(data))
{
return(root);
}
var leftResult = FindHelper(root.Left, data);
if (leftResult != null)
{
return(leftResult);
}
var rightResult = FindHelper(root.Right, data);
return(rightResult);
}
private bool RemoveHelper(MyAVLTreeNode <T> root,
MyAVLTreeNode <T> parent, T data)
{
if (root == null)
{
return(false);
}
if (root.Data.Equals(data))
{
if (root.Left == null && root.Right == null)
{
if (parent.Left != null && parent.Left.Data.Equals(root.Data))
{
parent.Left = null;
}
else
{
parent.Right = null;
}
return(true);
}
if (root.Left != null && root.Right == null)
{
if (parent.Right != null && parent.Right.Data.Equals(root.Data))
{
parent.Right = root.Left;
}
else
{
parent.Left = root.Left;
}
return(true);
}
if (root.Right != null && root.Left == null)
{
if (parent.Right != null && parent.Right.Data.Equals(root.Data))
{
parent.Right = root.Right;
}
else
{
parent.Left = root.Right;
}
return(true);
}
if (root.Right != null && root.Left != null)
{
var swapNode = FindLargestNodeInLeftSubStree(root.Left) ??
FindSmallestNodeInRightSubTree(root.Right);
var temp = swapNode.Data;
swapNode.Data = root.Data;
root.Data = temp;
return(RemoveHelper(Root, null, swapNode.Data));
}
}
if (RemoveHelper(root.Left, root, data))
{
BalanceParent(parent, root);
return(true);
}
if (RemoveHelper(root.Right, root, data))
{
BalanceParent(parent, root);
return(true);
}
return(false);
}