//O(log(n)) worst O(n) for unbalanced tree
internal static int GetHeight <T>(this BSTNodeBase <T> node) where T : IComparable
{
if (node == null)
{
return(-1);
}
return(Math.Max(GetHeight(node.Left), GetHeight(node.Right)) + 1);
}
public static int VerifyCount <T>(this BSTNodeBase <T> node) where T : IComparable
{
if (node == null)
{
return(0);
}
var count = VerifyCount(node.Left) + VerifyCount(node.Right) + 1;
Assert.AreEqual(count, node.Count);
return(count);
}
public static bool VerifyIsBinarySearchTree(BSTNodeBase <T> node, T lowerBound, T upperBound)
{
if (node == null)
{
return(true);
}
if (node.Value.CompareTo(upperBound) >= 0 || node.Value.CompareTo(lowerBound) <= 0)
{
return(false);
}
return(VerifyIsBinarySearchTree(node.Left, lowerBound, node.Value) &&
VerifyIsBinarySearchTree(node.Right, node.Value, upperBound));
}
internal static bool IsBinarySearchTree <T>(this BSTNodeBase <T> node, T lowerBound, T upperBound) where T : IComparable
{
if (node == null)
{
return(true);
}
if (node.Value.CompareTo(upperBound) >= 0 || node.Value.CompareTo(lowerBound) <= 0)
{
return(false);
}
return(IsBinarySearchTree(node.Left, lowerBound, node.Value) &&
IsBinarySearchTree(node.Right, node.Value, upperBound));
}