二叉树的基本运算

BTree.h

  1 #include <iostream>
  2 using namespace std;
  3 template<class T>
  4 class SeqQueue
  5 {
  6 public:
  7     SeqQueue(int msize);
  8     ~SeqQueue() { delete[] q; };
  9     bool IsEmpty() const { return front == rear; }
 10     bool IsFull() const { return (rear + 1) % maxsize == front; }
 11     bool Front(T& x) const;
 12     bool EnQueue(T x);
 13     bool DeQueue();
 14     void clear() { front = rear = 0; }
 15 private:
 16     int front, rear;
 17     int maxsize;
 18     T *q;
 19 };
 20 template<class T>
 21 SeqQueue<T>::SeqQueue(int msize)
 22 {
 23     maxsize = msize;
 24     q = new T[maxsize];
 25     front = rear = 0;
 26 }
 27 template<class T>
 28 bool SeqQueue<T>::Front(T& x) const
 29 {
 30     if (IsEmpty())
 31     {
 32         cout << "empty" << endl;
 33         return false;
 34     }
 35     x = q[(front + 1) % maxsize];
 36     return true;
 37 }
 38 template<class T>
 39 bool SeqQueue<T>::EnQueue(T x)
 40 {
 41     if (IsFull())
 42     {
 43         cout << "Full" << endl;
 44         return false;
 45     }
 46     q[(rear = (rear + 1) % maxsize)] = x;
 47     return true;
 48 }
 49 template<class T>
 50 bool SeqQueue<T>::DeQueue()
 51 {
 52     if (IsEmpty())
 53     {
 54         cout << "Underflow" << endl;
 55         return false;
 56     }
 57     front = (front + 1) % maxsize;
 58     return true;
 59 }
 60 template <class T>
 61 struct BTNode
 62 {
 63     T element;
 64     BTNode<T> *lChild, *rChild;
 65     BTNode()
 66     {
 67         lChild = rChild = NULL;
 68     }
 69     BTNode(const T& x)
 70     {
 71         element = x;
 72         lChild = rChild = NULL;
 73     }
 74     BTNode(const T& x, BTNode<T> *l, BTNode<T> *r)
 75     {
 76         element = x;
 77         lChild = l;
 78         rChild = r;
 79     }
 80 };
 81 
 82 template <class T>
 83 class BinaryTree
 84 {
 85 public:
 86     BinaryTree() { root = NULL; }
 87     ~BinaryTree() { clear(root); }
 88     bool IsEmpty()const;
 89     void clear() { clear(root); }
 90     bool Root(T &x)const;
 91     int size();
 92     void MakeTree(const T &e, BinaryTree<T>& left, BinaryTree<T>& right);
 93     void BreakTree(T &e, BinaryTree<T>& left, BinaryTree<T>& right);
 94     void levelorder(void(*Visit)(T& x));
 95     void PreOrder(void(*Visit)(T& x));
 96     void InOrder(void(*Visit)(T& x));
 97     void PostOrder(void(*Visit)(T& x));
 98     void change();
 99     int height();
100 protected:
101     BTNode<T>* root;
102 private:
103     void clear(BTNode<T>* t);
104     int size(BTNode<T>* t);
105     void levelorder(void(*Visit)(T& x), BTNode<T>* t);
106     void PreOrder(void(*Visit)(T& x), BTNode<T>* t);
107     void InOrder(void(*Visit)(T& x), BTNode<T>* t);
108     void PostOrder(void(*Visit)(T& x), BTNode<T>* t);
109     void change(BTNode<T>* t);
110     int height(BTNode<T>* t);
111 };
112 
113 template <class T>
114 void BinaryTree<T>::clear(BTNode<T>* t)
115 {
116     if (!t)
117         return;
118     clear(t->lChild);
119     clear(t->rChild);
120     delete t;
121 }
122 
123 template <class T>
124 bool BinaryTree<T>::Root(T &x)const
125 {
126     if (root)
127     {
128         x = root->element;
129         return true;
130     }
131     else
132         return false;
133 }
134 
135 template <class T>
136 void BinaryTree<T>::MakeTree(const T &e, BinaryTree<T>& left, BinaryTree<T>& right)
137 {
138     if (root || &left == &right)
139         return;
140     root = new BTNode<T>(e, left.root, right.root);
141     left.root = right.root = NULL;
142 }
143 
144 template <class T>
145 void BinaryTree<T>::BreakTree(T &x, BinaryTree<T>& left, BinaryTree<T>& right)
146 {
147     if (!root || &left == &right || left.root || right.root)
148         return;
149     x = root->element;
150     left.root = root->lChild;
151     right.root = root->rChild;
152     delete root;
153     root = NULL;
154 }
155 
156 template <class T>
157 void Visit(T& x)
158 {
159     cout << x << " ";
160 }
161 
162 template <class T>
163 void BinaryTree<T>::PreOrder(void(*Visit)(T& x))
164 {
165     PreOrder(Visit, root);
166 }
167 
168 template<class T>
169 void BinaryTree<T>::PreOrder(void(*Visit)(T& x), BTNode<T>* t)
170 {
171     if (t)
172     {
173         Visit(t->element);
174         PreOrder(Visit, t->lChild);
175         PreOrder(Visit, t->rChild);
176     }
177     
178 }
179 
180 template <class T>
181 void BinaryTree<T>::InOrder(void(*Visit)(T& x))
182 {
183     InOrder(Visit, root);
184 }
185 
186 template<class T>
187 void BinaryTree<T>::InOrder(void(*Visit)(T& x), BTNode<T>* t)
188 {
189     if (t)
190     {
191         InOrder(Visit, t->lChild);
192         Visit(t->element);
193         InOrder(Visit, t->rChild);
194     }
195 }
196 
197 template <class T>
198 void BinaryTree<T>::PostOrder(void(*Visit)(T& x))
199 {
200     PostOrder(Visit, root);
201 }
202 
203 template <class T>
204 void BinaryTree<T>::PostOrder(void(*Visit)(T& x), BTNode<T>* t)
205 {
206     if (t)
207     {
208         PostOrder(Visit, t->lChild);
209         PostOrder(Visit, t->rChild);
210         Visit(t->element);
211     }
212 }
213 template <class T>
214 void BinaryTree<T>::levelorder(void(*Visit)(T& x))
215 {
216     levelorder(Visit, root);
217 }
218 template <class T>
219 void BinaryTree<T>::levelorder(void(*Visit)(T& x), BTNode<T>* t)
220 {
221     SeqQueue<BTNode<T>*>se(100);
222     se.EnQueue(t);
223     BTNode<T> *tmp;
224     while (!se.IsEmpty())
225     {
226         se.Front(tmp);
227         Visit(tmp->element);
228         se.DeQueue();
229         if (tmp->lChild)
230             se.EnQueue(tmp->lChild);
231         if (tmp->rChild)
232             se.EnQueue(tmp->rChild);
233     }
234 
235 }
236 
237 template <class T>
238 int BinaryTree<T>::size()
239 {
240     return size(root);
241 }
242 
243 template <class T>
244 int BinaryTree<T>::size(BTNode<T>* t)
245 {
246     if (!t)
247         return 0;
248     else
249         return size(t->lChild) + size(t->rChild) + 1;
250 }
251 
252 template <class T>
253 void BinaryTree<T>::change()
254 {
255     change(root);
256 }
257 
258 template <class T>
259 void BinaryTree<T>::change(BTNode<T>* t)
260 {
261     if (!t)
262         return;
263     BTNode<T>* temp;
264     temp = t->lChild;
265     t->lChild = t->rChild;
266     t->rChild = temp;
267     change(t->lChild);
268     change(t->rChild);
269 }
270 
271 template <class T>
272 int BinaryTree<T>::height()
273 {
274     return height(root);
275 }
276 
277 template <class T>
278 int BinaryTree<T>::height(BTNode<T>* t)
279 {
280     int templ;
281     int tempr;
282     if (!t)
283         return 0;
284     templ = height(t->lChild);
285     tempr = height(t->rChild);
286     if (templ++>tempr++)
287         return templ;
288     else
289         return tempr;
290 }

Test.cpp

#include "BTree.h"

int main()
{
    BinaryTree<char> a, b, x, y, z;
    y.MakeTree('E', a, b);
    z.MakeTree('F', a, b);
    x.MakeTree('C', y, z);
    y.MakeTree('D', a, b);
    z.MakeTree('B', y, x);
    cout << "Preorder" << endl;
    z.PreOrder(Visit);
    cout << endl;
    cout << "Inorder" << endl;
    z.InOrder(Visit);
    cout << endl;
    cout << "Postorder:" << endl;
    z.PostOrder(Visit);
    cout << endl;
    cout << "Levelorder:" << endl;
    z.levelorder(Visit);
    cout << endl;
    cout << "SizeOfNode:";
    cout << z.size() << endl;
    z.change();
    cout << "TheChanged:" << endl;
    z.PreOrder(Visit);
    cout <<endl<< "TheHeight:";
    cout << z.height() << endl;
    cout << endl;
    cout << "Cleared" << endl;
    z.clear();
    cout << "Tree is Null" << endl;
    system("pause");
    return 0;
    
}

实现了二叉树的插入删除等操作

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原文地址：https://www.cnblogs.com/zlgxzswjy/p/4937292.html