Java通用二進制搜索樹類型問題

Question

我正在做這份作業，這讓我感到困惑。

我提供了以下BinarySearchTree類

import java.util.NoSuchElementException;

/**
 *
 * @param <T> The type of data stored in the nodes of the tree, must implement  Comparable<T> with the compareTo method.
 */
public class BinarySearchTree<T extends Comparable<T>> {


    BinaryTree<T> tree;

    int size;
    public BinarySearchTree() {
        tree = new BinaryTree<T>();
        size = 0;
    }

    public boolean isEmpty() {
        return tree.isEmpty();
    }

    protected BinaryTree<T> recursiveSearch(BinaryTree<T> root, T key) {
        if (root == null) {
            return null;
        }
        int c = key.compareTo(root.data);
        if (c == 0) {
            return root;
        }
        if (c < 0) {
            return recursiveSearch(root.left, key);
        } else {
            return recursiveSearch(root.right, key);
        }
    }

    public T search(T key) {
        if (tree.isEmpty()) { 
            return null;
        }
        return recursiveSearch(tree, key).data;
    }

    public void insert(T item) {

        if (tree.isEmpty()) { // insert here
            tree.makeRoot(item);
            size++;
            return;
        }

        // do an iterative descent
        BinaryTree<T> root = tree;
        boolean done=false;
        BinaryTree<T> newNode = null;
        while (!done) {
            int c = item.compareTo(root.data);
            if (c == 0) { // duplicate found, cannot be inserted
                throw new OrderViolationException();
            }
            if (c < 0) { // insert in left subtree
                if (root.left == null) { // insert here as left child
                    newNode = new BinaryTree<T>();
                    root.left = newNode;
                    done=true;
                } else { // go further down left subtree
                    root = root.left;
                }
            } else { // insert in right subtree
                if (root.right == null) { // insert here as right child 
                    newNode = new BinaryTree<T>();
                    root.right = newNode;
                    done=true;
                } else { // go further down right subtree
                    root = root.right;
                }
            }
        }
        // set fields of new node
        newNode.data = item;
        newNode.parent = root;
        size++;
    }

    /**
     * @param deleteNode Node whose parent will receive new node as right or left child,
     *                  depending on whether this node is its parent's right or left child. 
     * @param attach The node to be attached to parent of deleteNode.
     */
    protected void deleteHere(BinaryTree<T> deleteNode, BinaryTree<T> attach) {

        // deleteNode has only one subtree, attach
        BinaryTree<T> parent = deleteNode.parent;
        deleteNode.clear();  // clear the fields
        if (parent == null) {
            return;
        }
        if (deleteNode == parent.left) {
            // left child of parent, attach as left subtree
            parent.detachLeft();
            parent.attachLeft(attach);
            return;
        }
        // attach as right subtree
        parent.detachRight();
        parent.attachRight(attach);
    }


    protected BinaryTree<T> findPredecessor(BinaryTree<T> node) {
        if (node.left == null) {
            return null;
        }
        BinaryTree<T> pred = node.left; // turn left once
        while (pred.right != null) { // keep turning right
            pred = pred.right;
        }
        return pred;
    }


    public T delete(T key) {
        if (tree.isEmpty()) { // can't delete from an empty tree
            throw new NoSuchElementException();
        }

        // find node containing key 
        BinaryTree<T> deleteNode = recursiveSearch(tree, key);
        if (deleteNode == null) { // data not found, can't delete
            throw new NoSuchElementException();
        }

        BinaryTree<T> hold;

        // case c: deleteNode has exactly two subtrees
        if (deleteNode.right != null && deleteNode.left != null) {
            hold = findPredecessor(deleteNode);
            deleteNode.data = hold.data;
            deleteNode = hold; // fall through to case a or b
        }

        // case a: deleteNode is a leaf
        if (deleteNode.left == null && deleteNode.right == null) {
            deleteHere(deleteNode, null);
            size--;
            return deleteNode.data;
        }       

        // case b: deleteNode has exactly one subtree
        if (deleteNode.right != null) {
            hold = deleteNode.right;
            deleteNode.right = null;
        } else {
            hold = deleteNode.left;
            deleteNode.left = null;
        }

        deleteHere(deleteNode,hold);
        if (tree == deleteNode) { // root deleted
            tree = hold;
        }
        size--;
        return deleteNode.data;
    }


    public T minKey() {
        if (tree.data == null) { // tree empty, can't find min value
            throw new NoSuchElementException();
        }

        BinaryTree<T> root = tree;
        T min=root.data;
        root = root.left;  // turn left once
        while (root != null) {  // keep going left to leftmost node
            min = root.data;
            root = root.left;
        }
        return min;
    }


    public T maxKey() {
        if (tree.getData() == null) { // tree empty, can't find max value
            throw new NoSuchElementException();
        }

        BinaryTree<T> root=tree;
        T max=root.data;
        root = root.right;  // turn right once
        while (root != null) { // keep going to rightmost node
            max = root.data;
            root = root.right;
        }
        return max;
    }


    public int size() {
        return size;
    }


    protected void recursivePreOrder(BinaryTree<T> root, Visitor<T> visitor) {
        if (root != null) {
            visitor.visit(root);
            recursivePreOrder(root.left, visitor);
            recursivePreOrder(root.right, visitor);
        }
    }


    public void preOrder(Visitor<T> visitor) {
        if (tree.isEmpty()) {
            return;
        }
        recursivePreOrder(tree, visitor);
    }


    protected void recursiveInOrder(BinaryTree<T> root, Visitor<T> visitor) {
        if (root != null) {
            recursiveInOrder(root.left, visitor);
            visitor.visit(root);
            recursiveInOrder(root.right, visitor);
        }
    }


    public void inOrder(Visitor<T> visitor) {
        if (tree.isEmpty()) {   
            return;
        }
        recursiveInOrder(tree, visitor);
    }


    protected void recursivePostOrder(BinaryTree<T> root, Visitor<T> visitor) {
        if (root != null) {
            recursivePostOrder(root.left, visitor);
            recursivePostOrder(root.right, visitor);
            visitor.visit(root);
        }
    }

    public void postOrder(Visitor<T> visitor) {
        if (tree.isEmpty()) {
            return;
        }
        recursivePostOrder(tree, visitor);
    }
}

================================================== =============================

現在，我還有另一個類Student ....我想創建一個Student對象的二進制搜索樹。

BinarySearchTree<Student> tree = new BinarySearchTree<Student>();

但是，當我這樣做時，出現以下錯誤：

綁定不匹配：Student類型不是BinarySearchTree類型的bounded參數>的有效替代品

任何想法在這里發生了什么...我無法弄清楚。

Answer 1

 public class BinarySearchTree<T extends Comparable<T>> 

在您的情況T中，一個正式的泛型參數列出了使一個類成為有效T所需的條件。在您的情況下，您曾說過：“要成為一個有效的T，一個類必須實現Comparable”（關鍵字為“ extends ”，但實際上意味着“擴展或實施”。）

在您的實例中，T是學生。 如果我們用學生代替T：

public class BinarySearchTree<Student extends Comparable<Student>>

這是真實的陳述嗎？ 學生真的實施可比性嗎？

如果是這樣，則Student滿足成為T的要求，因此您可以將Student用作形式參數T的實際參數。

否則，您會收到看到的編譯器投訴。

實際上，要涵蓋子類對Comparable的實現由超類完成的更復雜的情況，更通用的形式是：

   public class BinarySearchTree<T extends Comparable<? super T > > 

因此，您需要使Student實現Comparable <Student>。

請注意，我並不是說編譯器正在尋找Student.compareTo 。 它甚至還沒有走得那么遠。 它正在查看是否T（在您的情況下為Student）被聲明為實現Comparable <T>（在您的情況下為Comparable <Student>）。

現在加入implements Comparable< Student >以學生也會使編譯器確保有一個public int compareTo對學生的方法。 但是沒有“ implements Comparable”，即使編譯器知道有一個Student.compareTo方法，也不知道compareTo是Comparable.compareTo 。

（換句話說，我們正在尋找聲明的實現，而不僅是碰巧有一個具有正確名稱和簽名的方法。）

Answer 2

班級學生是否實施可比性？

Answer 3

但是我不太確定如何實現compareTo方法。

基本上，它類似於以下內容。 您必須決定訂購的方式。

class Student implements Comparable<Student> {

    //...

    int compareTo(Student other) {
        // return some negative number if this object is less than other
        // return 0 if this object is equal to other
        // return some positive number if this object is greater than other
    }
}