二叉查找树

原帖地址 http://www.iteye.com/topic/561590

 

import java.util.Collection;
import java.util.Iterator;
import java.util.NoSuchElementException;

public class BinarySearchTree<E extends Comparable<E>> 
{
    
    public static void main(String[] args)
    {
        BinarySearchTree<Integer> bst = new BinarySearchTree<Integer>();
        bst.add(50);  
        bst.add(37);  
        bst.add(75);  
        bst.add(25);  
        bst.add(61);  
        bst.add(15);  
        bst.add(30);  
        bst.add(55);  
        bst.add(68);  
        bst.add(28);  
        bst.add(32);  
        bst.add(59);  
        bst.add(36);  
        bst.add(36);
        
        //是否包含  
        System.out.println(bst.contains(36));//true  
        System.out.println(bst.contains(38));//false  
  
        //大小  
        System.out.println(bst.size());//13  
  
        //遍历  
        Iterator<Integer> itr = bst.iterator();  
        while (itr.hasNext()) {  
            //15 25 28 30 32 36 37 50 55 59 61 68 75  
            System.out.print(itr.next() + " ");  
        }  
        System.out.println();  
  
  
        //删除根叶子节点36  
        bst.remove(36);  
        System.out.println(bst.size());//12  
        itr = bst.iterator();  
        while (itr.hasNext()) {  
            //15 25 28 30 32 37 50 55 59 61 68 75  
            System.out.print(itr.next() + " ");  
        }  
        System.out.println();  
  
        //删除只有一个左子节点的节点37  
        bst.remove(37);  
        System.out.println(bst.size());//11  
        itr = bst.iterator();  
        while (itr.hasNext()) {  
            //15 25 28 30 32 50 55 59 61 68 75   
            System.out.print(itr.next() + " ");  
        }  
        System.out.println();  
  
        //删除只有一个右子节点的节点55  
        bst.remove(55);  
        System.out.println(bst.size());//10  
        itr = bst.iterator();  
        while (itr.hasNext()) {  
            //15 25 28 30 32 50 59 61 68 75   
            System.out.print(itr.next() + " ");  
        }  
        System.out.println();  
  
        //删除有左右子节点的根节点50  
        bst.remove(50);  
        System.out.println(bst.size());//9  
        itr = bst.iterator();  
        while (itr.hasNext()) {  
            //15 25 28 30 32 59 61 68 75   
            System.out.print(itr.next() + " ");  
        }  
        System.out.println();  
  
        //下面通过迭代器删除节点根节点59  
        itr = bst.iterator();  
        while (itr.hasNext()) {  
            if (itr.next() == 59) {  
                itr.remove();//删除最近一次next返回的节点  
                break;  
            }  
        }  
  
        while (itr.hasNext()) {  
            //61 68 75  
            System.out.print(itr.next() + " ");  
            itr.remove();  
        }  
  
        System.out.println();  
        System.out.println(bst.size());//5 
    }
    
    
    private Node root;
    
    private int size;
    
    
    public BinarySearchTree()
    {
        root = null;
    }
    
    
    /*
     * 二叉树插入操作，如果插入节点大于
     */
    public boolean add(E e)
    {
        Node<E> x = root, y = null;
        int compare = 0;
        
        while (x != null) {
            // y为每次循环x的父节点
            y = x;
            compare = e.compareTo(x.value);

            /*
             * 插入节点于当前结点相同则直接返回False
             * 如果插入节点e如比当前节点x小则将当前节点e指向当前节点的左节点e.left
             * 否则则将当前节点e指向当前结点右节点e.right
             */
            if (compare == 0) return false;
            
            if (compare == 1)
                x = x.right;
            else
                x = x.left;
        }
        
        if (y == null) {
            // y为空则表示root为空
            root = new Node(e, null);
        }
        else {
            // 根据之前判断创建新节点并指定为父节点y的左子节点或右子节点
            if (compare == 1)
                y.right = new Node(e, y);
            else
                y.left = new Node(e, y);
        }
        size++;
        return true;
    }
    
    
    public boolean contains(E e)
    {
        return getNode(e) != null;
    }
    
    
    private Node<E> getNode(E e)
    {
        Node<E> node = root;
        int compare;
        
        while (node != null) {
            compare = e.compareTo(node.value);
            
            if (compare == 0) return node;
            if (compare == 1) 
                node = node.right;
            else
                node = node.left;
        }
        
        return null;
    }
    
    
    public boolean remove(E e)
    {
        // 如果为空则直接返回
        Node<E> node = getNode(e);
        if (node == null) return false;
        removeNode(node);
        return true;
    }
    
    
    /*
     * 如果删除节点n是叶子节点，则直接删除该节点
     * 如果删除节点只有一个子节点，则将n的子节点与n的父节点直接连接，然后删除节点n
     * 如果删除节点n有两个子节点，则使用中序立遍历方式得到直接前置节点c或直接后继节点c得知代替节点n的值，然后删除c 
     */
    private void removeNode(Node<E> node)
    {
        // 有两个子节点
        if (node.left != null && node.right != null) {
            Node<E> child = intervalNode(node);
            node.value = child.value;
            node = child;
        }
        
        // 没有子节点，自身为叶子节点
        if (node.left == null && node.right == null) {
            // 
            if (node.parent == null) {
                root = null;
            }
            else {
                if (node == node.parent.left)
                    node.parent.left = null;
                else
                    node.parent.right = null;
            }
        }
        else {
            // 只有一个节点的情况
            Node<E> replace;
            
            replace = node.left != null ? node.left : node.right;
            
            replace.parent = node.parent;
            
            if (node.parent == null) {
                root = replace;
            }
            else if (node == node.parent.left) {
                node.parent.left = replace;
            }
            else {
                node.parent.right = replace;
            }
        }
        node.parent = null;
        node.left = node.right = null;
        size--;
    }
    
    
    /*
     * 查找中序遍历的直接后继节点
     * 
     * 如果待查找的节点有右子树，则后继节点一定在右子树上，此时右子树上的某个节点可能成为后 
     * 继节点：一是如果待查节点的右子树没有左子树（有没有右子树无所谓）时，直接就返回该待查节点 
     * 的右子节点；二是如果待点节点的右子节点有左子树，则查找右子节点的最左边的左子树节点（注， 
     * 该节点一点是左叶子节点或只有一个右子节点的左节点，查找过程要一直向左，即遍历时只向左拐， 
     * 不可向右）
     * 
     * 如果待查找的节点没有右子树，则需要从该节点向根的方向遍历（不可向左或右拐），后继节点只 
     * 可能在祖宗节点中产生（包括父节点与根节点在内），此情况分两种：一种就是待查节点为某节点的左 
     * 子树，则此时的后继为父节点；第二种就是当待查节点为某个节点的右子树时，则需沿根的方向向上找， 
     * 一直找到第一个有左子树的祖宗节点即为后继节点，或到根为止还没有找到（则该节点只可能为中序遍 
     * 历的最后节点
     */
    private Node intervalNode(Node node)
    {
        if (node == null) {
            return null;
        }
        else if (node.right != null) {
            /* 
             * 查找50节点的直接后继，查找结果为55 
             *            50 
             *             \ 
             *             75 
             *             / 
             *            61 
             *            /\ 
             *           55 68 
             *            \ 
             *            59               
             */ 
            
            Node<E> child = node.right;
            while (child.left != null) {
                child = child.left;
            }
            return child;
        }
        else {
            /* 
             * 没有右子树的节点且为父节点的右子节点36的直接后继为37，同样节点68的直接后继为75 
             * 没有右子树的节点且为父节点的左子节点37的直接后继为50，同样节点28的直接后继为30 
             * 75为最后节点，所以直接后继为null 
             *  
             *                 50 
             *                 /\ 
             *                37 75 
             *                /   / 
             *               25   61  
             *               /\   /\ 
             *             15 30 55 68  
             *                /\  \ 
             *              28 32 59 
             *                  \ 
             *                  36 
             *                   / 
             *                  35 
             */ 
            
            Node<E> parent = node.parent;
            Node<E> current = node;
            
            while (parent != null && current == parent.right) {
                current = parent;
                parent = parent.parent;
            }
            return parent;
        }
    }
    
    
    public int size()
    {
        return size;
    }
    
    
    public Iterator<E> iterator()
    {
        return new TreeIterator();
    }
    
    
    public class TreeIterator implements Iterator<E>
    {
        private Node<E> lastReturned;
        
        private Node<E> next;
        
        private Node<E> endNode;

        
        public TreeIterator()
        {
            next = root;
            if (next != null) {
                while (next.left != null) {
                    next = next.left;
                }
            }
        }
        
        public boolean hasPreVious()
        {
            return (next != null && intervalNode(next) != null) || endNode != null;
        }
        
        
        public E previous()
        {
            if (next != null && intervalNode(next) == null) {
                throw new NoSuchElementException();
            }
            
            if (endNode != null) {
                lastReturned = next = endNode;
                endNode = null;
            }
            else {
                lastReturned = next = intervalNode(next);
            }
            return lastReturned.value;
        }
        
        public boolean hasNext() 
        {
            return next != null;
        }

        public E next() 
        {
            if (next == null)
                throw new NoSuchElementException();
            
            lastReturned = next;
            next = intervalNode(next);
            
            if (next == null) {
                endNode = lastReturned;
            }
            return lastReturned.value;
        }

        
        public void remove() 
        {
            if (lastReturned == null) {
                throw new IllegalStateException();
            }
            
            if (lastReturned.left != null && lastReturned.right != null) {
                next = lastReturned;
            }
            removeNode(lastReturned);
            lastReturned = null;
        }

    }

    
    public void preOrder(Collection<E> collect)
    {
        preOrder(root, collect);
    }
    
    
    private final void preOrder(Node<E> n, Collection<E> collect)
    {
        if (n != null) {
            collect.add(n.value);
            preOrder(n.left, collect);
            preOrder(n.right, collect);
        }
    }
    
    
    public void inOrder(Collection<E> collect)
    {
        inOrder(root, collect);
    }
    
    
    private void inOrder(Node<E> n, Collection<E> collect)
    {
        if (n == null) return;
        inOrder(n.left, collect);
        collect.add(n.value);
        inOrder(n.right, collect);
    }
    
    
    public void postOrder(Collection<E> collect)
    {
        postOrder(root, collect);
    }
    
    
    private final void postOrder(Node<E> n, Collection<E> collect)
    {
        if (n == null) return;
        postOrder(n.left, collect);
        postOrder(n.right, collect);
        collect.add(n.value);
    }
    
    
    private class Node<E>
    {
        private E value;
        
        private Node parent;
        
        private Node left;
        
        private Node right;
        
        public Node(E value, Node parent)
        {
            this.value = value;
            this.parent = parent;
        }
    }
}