Tuesday 28 November 2017

Java Program to Implement Self Balancing Binary Search Tree


Code:

import java.util.Scanner;

 /* Class SBBSTNode */
 class SBBSTNode
 {    
     SBBSTNode left, right;
     int data;
     int height;

     /* Constructor */
     public SBBSTNode()
     {
         left = null;
         right = null;
         data = 0;
         height = 0;
     }
     /* Constructor */
     public SBBSTNode(int n)
     {
         left = null;
         right = null;
         data = n;
         height = 0;
     }     
 }

 /* Class SelfBalancingBinarySearchTree */
 class SelfBalancingBinarySearchTree
 {
     private SBBSTNode root;     

     /* Constructor */
     public SelfBalancingBinarySearchTree()
     {
         root = null;
     }

     /* Function to check if tree is empty */
     public boolean isEmpty()
     {
         return root == null;
     }

     /* Make the tree logically empty */
     public void clear()
     {
         root = null;
     }
     /* Function to insert data */
     public void insert(int data)
     {
         root = insert(data, root);
     }
     /* Function to get height of node */
     private int height(SBBSTNode t )
     {
         return t == null ? -1 : t.height;
     }
     /* Function to max of left/right node */
     private int max(int lhs, int rhs)
     {
         return lhs > rhs ? lhs : rhs;
     }
     /* Function to insert data recursively */
     private SBBSTNode insert(int x, SBBSTNode t)
     {
         if (t == null)
             t = new SBBSTNode(x);
         else if (x < t.data)
         {
             t.left = insert( x, t.left );
             if (height( t.left ) - height( t.right ) == 2)
                 if (x < t.left.data)
                     t = rotateWithLeftChild( t );
                 else
                     t = doubleWithLeftChild( t );
         }
         else if (x > t.data)
         {
             t.right = insert( x, t.right );
             if (height( t.right ) - height( t.left ) == 2)
                 if (x > t.right.data)
                     t = rotateWithRightChild( t );
                 else
                     t = doubleWithRightChild( t );
         }
         else
           ;  // Duplicate; do nothing
         t.height = max( height( t.left ), height( t.right ) ) + 1;
         return t;
     }
     /* Rotate binary tree node with left child */     
     private SBBSTNode rotateWithLeftChild(SBBSTNode k2)
     {
         SBBSTNode k1 = k2.left;
         k2.left = k1.right;
         k1.right = k2;
         k2.height = max( height( k2.left ), height( k2.right ) ) + 1;
         k1.height = max( height( k1.left ), k2.height ) + 1;
         return k1;
     }

     /* Rotate binary tree node with right child */
     private SBBSTNode rotateWithRightChild(SBBSTNode k1)
     {
         SBBSTNode k2 = k1.right;
         k1.right = k2.left;
         k2.left = k1;
         k1.height = max( height( k1.left ), height( k1.right ) ) + 1;
         k2.height = max( height( k2.right ), k1.height ) + 1;
         return k2;
     }
     /**
      * Double rotate binary tree node: first left child
      * with its right child; then node k3 with new left child */
     private SBBSTNode doubleWithLeftChild(SBBSTNode k3)
     {
         k3.left = rotateWithRightChild( k3.left );
         return rotateWithLeftChild( k3 );
     }
     /**
      * Double rotate binary tree node: first right child
      * with its left child; then node k1 with new right child */      
     private SBBSTNode doubleWithRightChild(SBBSTNode k1)
     {
         k1.right = rotateWithLeftChild( k1.right );
         return rotateWithRightChild( k1 );
     }    
     /* Functions to count number of nodes */
     public int countNodes()
     {
         return countNodes(root);
     }
     private int countNodes(SBBSTNode r)
     {
         if (r == null)
             return 0;
         else
         {
             int l = 1;
             l += countNodes(r.left);
             l += countNodes(r.right);
             return l;
         }
     }
     /* Functions to search for an element */
     public boolean search(int val)
     {
         return search(root, val);
     }
     private boolean search(SBBSTNode r, int val)
     {
         boolean found = false;
         while ((r != null) && !found)
         {
             int rval = r.data;
             if (val < rval)
                 r = r.left;
             else if (val > rval)
                 r = r.right;
             else
             {
                 found = true;
                 break;
             }
             found = search(r, val);
         }
         return found;
     }
     /* Function for inorder traversal */
     public void inorder()
     {
         inorder(root);
     }
     private void inorder(SBBSTNode r)
     {
         if (r != null)
         {
             inorder(r.left);
             System.out.print(r.data +" ");
             inorder(r.right);
         }
     }
     /* Function for preorder traversal */
     public void preorder()
     {
         preorder(root);
     }
     private void preorder(SBBSTNode r)
     {
         if (r != null)
         {
             System.out.print(r.data +" ");
             preorder(r.left);             
             preorder(r.right);
         }
     }
     /* Function for postorder traversal */
     public void postorder()
     {
         postorder(root);
     }
     private void postorder(SBBSTNode r)
     {
         if (r != null)
         {
             postorder(r.left);             
             postorder(r.right);
             System.out.print(r.data +" ");
         }
     }     
 }

 /* Class SelfBalancingBinarySearchTreeTest */
public class SelfBalancingBinarySearchTreeTest
{
    public static void main(String[] args)
    {            
        Scanner scan = new Scanner(System.in);
        /* Creating object of SelfBalancingBinarySearchTree */
        SelfBalancingBinarySearchTree sbbst = new SelfBalancingBinarySearchTree(); 
        System.out.println("SelfBalancingBinarySearchTree Test\n");          
        char ch;
        /*  Perform tree operations  */
        do    
        {
            System.out.println("\nSelfBalancingBinarySearchTree Operations\n");
            System.out.println("1. insert ");
            System.out.println("2. search");
            System.out.println("3. count nodes");
            System.out.println("4. check empty");
            System.out.println("5. clear tree");

            int choice = scan.nextInt();            
            switch (choice)
            {
            case 1 : 
                System.out.println("Enter integer element to insert");
                sbbst.insert( scan.nextInt() );                     
                break;                          
            case 2 : 
                System.out.println("Enter integer element to search");
                System.out.println("Search result : "+ sbbst.search( scan.nextInt() ));
                break;                                          
            case 3 : 
                System.out.println("Nodes = "+ sbbst.countNodes());
                break;     
            case 4 : 
                System.out.println("Empty status = "+ sbbst.isEmpty());
                break;     
            case 5 : 
                System.out.println("\nTree Cleared");
                sbbst.clear();
                break;         
            default : 
                System.out.println("Wrong Entry \n "); 
                break;   
            }
            /*  Display tree  */  
            System.out.print("\nPost order : ");
            sbbst.postorder();
            System.out.print("\nPre order : ");
            sbbst.preorder();
            System.out.print("\nIn order : ");
            sbbst.inorder();

            System.out.println("\nDo you want to continue (Type y or n) \n");
            ch = scan.next().charAt(0);                        
        } while (ch == 'Y'|| ch == 'y');               
    }
}


Output:

SelfBalancingBinarySearchTree Test


SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
1
Enter integer element to insert
5

Post order : 5
Pre order : 5
In order : 5
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
1
Enter integer element to insert
8

Post order : 8 5
Pre order : 5 8
In order : 5 8
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
1
Enter integer element to insert
24

Post order : 5 24 8
Pre order : 8 5 24
In order : 5 8 24
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
1
Enter integer element to insert
6

Post order : 6 5 24 8
Pre order : 8 5 6 24
In order : 5 6 8 24
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
3
Nodes = 4

Post order : 6 5 24 8
Pre order : 8 5 6 24
In order : 5 6 8 24
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
2
Enter integer element to search
8
Search result : true

Post order : 6 5 24 8
Pre order : 8 5 6 24
In order : 5 6 8 24
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
5

Tree Cleared

Post order :
Pre order :
In order :
Do you want to continue (Type y or n)

y

SelfBalancingBinarySearchTree Operations

1. insert
2. search
3. count nodes
4. check empty
5. clear tree
4
Empty status = true

Post order :
Pre order :
In order :
Do you want to continue (Type y or n)

n




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