Java 二叉树遍历

package edu.cumt.jnotnull;  
  
import java.util.Stack;  
  
public class BinaryTree {  
    protected Node root;  
  
    public BinaryTree(Node root) {  
        this.root = root;  
    }  
  
    public Node getRoot() {  
        return root;  
    }  
  
    /** 构造树 */  
    public static Node init() {  
        Node a = new Node(‘A‘);  
        Node b = new Node(‘B‘, null, a);  
        Node c = new Node(‘C‘);  
        Node d = new Node(‘D‘, b, c);  
        Node e = new Node(‘E‘);  
        Node f = new Node(‘F‘, e, null);  
        Node g = new Node(‘G‘, null, f);  
        Node h = new Node(‘H‘, d, g);  
        return h;// root  
    }  
  
    /** 访问节点 */  
    public static void visit(Node p) {  
        System.out.print(p.getKey() + " ");  
    }  
  
    /** 递归实现前序遍历 */  
    protected static void preorder(Node p) {  
        if (p != null) {  
            visit(p);  
            preorder(p.getLeft());  
            preorder(p.getRight());  
        }  
    }  
  
    /** 递归实现中序遍历 */  
    protected static void inorder(Node p) {  
        if (p != null) {  
            inorder(p.getLeft());  
            visit(p);  
            inorder(p.getRight());  
        }  
    }  
  
    /** 递归实现后序遍历 */  
    protected static void postorder(Node p) {  
        if (p != null) {  
            postorder(p.getLeft());  
            postorder(p.getRight());  
            visit(p);  
        }  
    }  
  
    /** 非递归实现前序遍历 */  
    protected static void iterativePreorder(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        if (p != null) {  
            stack.push(p);  
            while (!stack.empty()) {  
                p = stack.pop();  
                visit(p);  
                if (p.getRight() != null)  
                    stack.push(p.getRight());  
                if (p.getLeft() != null)  
                    stack.push(p.getLeft());  
            }  
        }  
    }  
  
    /** 非递归实现前序遍历2 */  
    protected static void iterativePreorder2(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        Node node = p;  
        while (node != null || stack.size() > 0) {  
            while (node != null) {//压入所有的左节点，压入前访问它  
                visit(node);  
                stack.push(node);  
                node = node.getLeft();  
            }  
            if (stack.size() > 0) {//  
                node = stack.pop();  
                node = node.getRight();  
            }  
        }  
    }  
  
    /** 非递归实现后序遍历 */  
    protected static void iterativePostorder(Node p) {  
        Node q = p;  
        Stack<Node> stack = new Stack<Node>();  
        while (p != null) {  
            // 左子树入栈  
            for (; p.getLeft() != null; p = p.getLeft())  
                stack.push(p);  
            // 当前节点无右子或右子已经输出  
            while (p != null && (p.getRight() == null || p.getRight() == q)) {  
                visit(p);  
                q = p;// 记录上一个已输出节点  
                if (stack.empty())  
                    return;  
                p = stack.pop();  
            }  
            // 处理右子  
            stack.push(p);  
            p = p.getRight();  
        }  
    }  
  
    /** 非递归实现后序遍历 双栈法 */  
    protected static void iterativePostorder2(Node p) {  
        Stack<Node> lstack = new Stack<Node>();  
        Stack<Node> rstack = new Stack<Node>();  
        Node node = p, right;  
        do {  
            while (node != null) {  
                right = node.getRight();  
                lstack.push(node);  
                rstack.push(right);  
                node = node.getLeft();  
            }  
            node = lstack.pop();  
            right = rstack.pop();  
            if (right == null) {  
                visit(node);  
            } else {  
                lstack.push(node);  
                rstack.push(null);  
            }  
            node = right;  
        } while (lstack.size() > 0 || rstack.size() > 0);  
    }  
  
    /** 非递归实现后序遍历 单栈法*/  
    protected static void iterativePostorder3(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        Node node = p, prev = p;  
        while (node != null || stack.size() > 0) {  
            while (node != null) {  
                stack.push(node);  
                node = node.getLeft();  
            }  
            if (stack.size() > 0) {  
                Node temp = stack.peek().getRight();  
                if (temp == null || temp == prev) {  
                    node = stack.pop();  
                    visit(node);  
                    prev = node;  
                    node = null;  
                } else {  
                    node = temp;  
                }  
            }  
  
        }  
    }  
  
    /** 非递归实现后序遍历4 双栈法*/  
    protected static void iterativePostorder4(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        Stack<Node> temp = new Stack<Node>();  
        Node node = p;  
        while (node != null || stack.size() > 0) {  
            while (node != null) {  
                temp.push(node);  
                stack.push(node);  
                node = node.getRight();  
            }  
            if (stack.size() > 0) {  
                node = stack.pop();  
                node = node.getLeft();  
            }  
        }  
        while (temp.size() > 0) {  
            node = temp.pop();  
            visit(node);  
        }  
    }  
  
    /** 非递归实现中序遍历 */  
    protected static void iterativeInorder(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        while (p != null) {  
            while (p != null) {  
                if (p.getRight() != null)  
                    stack.push(p.getRight());// 当前节点右子入栈  
                stack.push(p);// 当前节点入栈  
                p = p.getLeft();  
            }  
            p = stack.pop();  
            while (!stack.empty() && p.getRight() == null) {  
                visit(p);  
                p = stack.pop();  
            }  
            visit(p);  
            if (!stack.empty())  
                p = stack.pop();  
            else  
                p = null;  
        }  
    }  
  
    /** 非递归实现中序遍历2 */  
    protected static void iterativeInorder2(Node p) {  
        Stack<Node> stack = new Stack<Node>();  
        Node node = p;  
        while (node != null || stack.size() > 0) {  
            while (node != null) {  
                stack.push(node);  
                node = node.getLeft();  
            }  
            if (stack.size() > 0) {  
                node = stack.pop();  
                visit(node);  
                node = node.getRight();  
            }  
        }  
    }  
  
    /** 
     * @param args 
     */  
    public static void main(String[] args) {  
        BinaryTree tree = new BinaryTree(init());  
        System.out.print(" Pre-Order:");  
        preorder(tree.getRoot());  
        System.out.println();  
        System.out.print("  In-Order:");  
        inorder(tree.getRoot());  
        System.out.println();  
        System.out.print("Post-Order:");  
        postorder(tree.getRoot());  
        System.out.println();  
        System.out.print(" Pre-Order:");  
        iterativePreorder(tree.getRoot());  
        System.out.println();  
        System.out.print("Pre-Order2:");  
        iterativePreorder2(tree.getRoot());  
        System.out.println();  
        System.out.print("  In-Order:");  
        iterativeInorder(tree.getRoot());  
        System.out.println();  
        System.out.print(" In-Order2:");  
        iterativeInorder2(tree.getRoot());  
        System.out.println();  
        System.out.print(" Post-Order:");  
        iterativePostorder(tree.getRoot());  
        System.out.println();  
        System.out.print("Post-Order2:");  
        iterativePostorder2(tree.getRoot());  
        System.out.println();  
        System.out.print("Post-Order3:");  
        iterativePostorder3(tree.getRoot());  
        System.out.println();  
        System.out.print("Post-Order4:");  
        iterativePostorder4(tree.getRoot());  
        System.out.println();  
  
    }  
  
} 

class DataNode{
    int data;
    DataNode leftChild = null;
    DataNode rightChild = null;
}

public class NodeTree {
    
    DataNode rootNode;
    DataNode tempNode;
    //int index_root; 
    DataNode left_childDataNode;
    DataNode right_childDataNode;
    
    public DataNode initRootNode(int[] preArray){
        rootNode = new DataNode();
        rootNode.data = preArray[0];
        return rootNode;
    }
    
    public  void BuildTree(int[] preArray,int[] midArray,DataNode rootNode){
        int index_root = getIndex(midArray, rootNode.data);
        int lengthOfRightTree = preArray.length - index_root -1;
        
        int[] preArray_left;
        int[] preArray_right;
        int[] midArray_left;
        int[] midArray_right;
        
        if (index_root>0) {
            left_childDataNode = new DataNode();
            if (index_root==1) {
                left_childDataNode.data = midArray[0];
                rootNode.leftChild = left_childDataNode;
            }else {
                preArray_left = new int[index_root];
                midArray_left = new int[index_root];
                System.arraycopy(preArray, 1, preArray_left, 0, index_root);
                System.arraycopy(midArray, 0, midArray_left, 0, index_root);
                left_childDataNode.data = preArray_left[0];
                rootNode.leftChild = left_childDataNode;
                BuildTree(preArray_left, midArray_left, left_childDataNode);
            }    
        }
        
        if (lengthOfRightTree>0) {
            right_childDataNode = new DataNode();
            if (lengthOfRightTree==1) {
                right_childDataNode.data = midArray[index_root+1];
                rootNode.rightChild = right_childDataNode;
                return;
            }else {
                preArray_right  = new int[lengthOfRightTree];
                midArray_right = new int[lengthOfRightTree];
                System.arraycopy(preArray, index_root+1, preArray_right, 0,lengthOfRightTree);
                System.arraycopy(midArray, index_root+1, midArray_right, 0, lengthOfRightTree);
                right_childDataNode.data = preArray_right[0];
                rootNode.rightChild = right_childDataNode;
                BuildTree(preArray_right, midArray_right,right_childDataNode);
            }
        }
    }
    
    public int getIndex(int[] array,int temp){
        int index = -1;
        for (int i = 0; i < array.length; i++) {
            if (array[i]==temp) {
                index = i;
                return index;
            }
        }
        return index;
    }
    //后序遍历
    public void postOrderTraverse(DataNode node){
        if (node==null) {
            return;
        }
        postOrderTraverse(node.leftChild);
        postOrderTraverse(node.rightChild);
        System.out.print(node.data);
    }
    //前序遍历
    public void preOrderTraverse(DataNode node){
        if (node==null) {
            return;
        }
        System.out.print(node.data);
        preOrderTraverse(node.leftChild);
        preOrderTraverse(node.rightChild);
    }
    //中序遍历
    public void inOrderTraverse(DataNode node){
        if (node==null) {
            return;
        }
        inOrderTraverse(node.leftChild);
        System.out.print(node.data);
        inOrderTraverse(node.rightChild);
    }
    
    public static void main(String args[]){
        int[] preArray = {1,2,3};
        int[] midArray = {1,2,3};
        NodeTree tree = new NodeTree();
        DataNode headNode = tree.initRootNode(preArray);
        tree.BuildTree(preArray, midArray, headNode);
        tree.postOrderTraverse(headNode);
    }
    
}