private AvlTreeNode <T> FindInNode(AvlTreeNode <T> node, T item)
{
while (true)
{
int comparisonResult = node.Data.CompareTo(item);
if (comparisonResult == 0)
{
return(node);
}
if (comparisonResult.Equals(-1))
{
if (node.RightChild != null)
{
node = node.RightChild;
continue;
}
}
else if (comparisonResult.Equals(1))
{
if (node.LeftChild != null)
{
node = node.LeftChild;
continue;
}
}
break;
}
return(null);
}
private AvlTreeNode <T> RotateRightLeft(AvlTreeNode <T> node)
{
// First, rotate the left grandchild to the right
RotateRight(node.RightChild);
// Second, rotate myself to the left
return(RotateLeft(node));
}
private AvlTreeNode <T> RotateLeft(AvlTreeNode <T> node)
{
var temp = node.RightChild;
node.RightChild = temp.LeftChild;
if (node.RightChild != null)
{
node.RightChild.Parent = node;
}
temp.LeftChild = node;
if (node.Parent != null)
{
temp.Parent = node.Parent;
if (temp.Parent.Data.CompareTo(temp.Data) == 1)
{
temp.Parent.LeftChild = temp;
}
else
{
temp.Parent.RightChild = temp;
}
}
else
{
temp.Parent = null;
Root = temp;
}
node.Parent = temp;
return(node);
}
internal AvlTreeNode <T> InsertChild(T item)
{
int comparisonResult = Data.CompareTo(item);
// This node is larger
if (comparisonResult == 1)
{
if (LeftChild == null)
{
LeftChild = new AvlTreeNode <T>(item);
LeftChild.Parent = this;
return(LeftChild);
}
return(LeftChild.InsertChild(item));
}
else if (comparisonResult == -1)
{
if (RightChild == null)
{
RightChild = new AvlTreeNode <T>(item);
RightChild.Parent = this;
return(RightChild);
}
return(RightChild.InsertChild(item));
}
return(null);
}
private void SwapNodes(AvlTreeNode <T> node1, AvlTreeNode <T> node2)
{
var node1TempLeftChild = node1.LeftChild;
var node1TempRightChild = node1.RightChild;
var node2TempLeftChild = node2.LeftChild;
var node2TempRigtChild = node2.RightChild;
var node1TempParent = node1.Parent;
var node2TempParent = node2.Parent;
}
public void CheckAndFixBalanceForTree(AvlTreeNode <T> node)
{
while (node != null)
{
var leftNodeHeight = node.LeftChild?.GetHeight() ?? 0;
var rightNodeHeight = node.RightChild?.GetHeight() ?? 0;
var leftRightDifference = leftNodeHeight - rightNodeHeight;
if (leftRightDifference > 1)
{
// Node's subtree is left heavy
// Check if we need to do a right or left right rotation
var leftGrandChildHeight = node.LeftChild?.LeftChild?.GetHeight() ?? 0;
var rightGrandChildHeight = node.LeftChild?.RightChild?.GetHeight() ?? 0;
if (leftGrandChildHeight > rightGrandChildHeight)
{
// Doing a right rotation only
node = RotateRight(node);
}
else
{
// Doing a left right rotation
node = RotateLeftRight(node);
}
}
else if (leftRightDifference < -1)
{
// Node's subtree is right heavy
// Check if we need to do a right or left right rotation
var rightGrandchildHeight = node.RightChild?.RightChild?.GetHeight() ?? 0;
var leftGrandChildHeight = node.RightChild?.LeftChild?.GetHeight() ?? 0;
if (leftGrandChildHeight < rightGrandchildHeight)
{
// Doing a left rotation only
node = RotateLeft(node);
}
else
{
// Doing a right left rotation
node = RotateRightLeft(node);
}
}
else
{
if (node.Parent != null)
{
node = node.Parent;
}
else
{
node = null;
}
}
}
}
public void Add(T item)
{
if (Root == null)
{
Root = new AvlTreeNode <T>(item);
return;
}
var insertedNode = Root.InsertChild(item);
if (insertedNode != null)
{
CheckAndFixBalanceForTree(insertedNode);
}
}
public AvlTreeNode <T> FindInOrderPredecessor(AvlTreeNode <T> node)
{
var nextNodeToCheck = node.LeftChild;
while (true)
{
if (nextNodeToCheck.RightChild != null)
{
nextNodeToCheck = nextNodeToCheck.RightChild;
}
else
{
return(nextNodeToCheck);
}
}
}