c++ BST继承自二叉树 

  1 #include <iostream>
  2 #include<binaryNode.hpp>
  3 #include<cassert>
  4 #include<queue>
  5 #include<vector>
  6 
  7 using namespace std;
  8 
  9 template<class T>binaryNode<T>* getNode(T num)
 10 {
 11     return new binaryNode<T>(num);
 12 
 13 };
 14 
 15 template<class T>class binaryTree {
 16 protected:
 17     queue<binaryNode<T>*>que;
 18 public:
 19 
 20     binaryNode<T>* top = new binaryNode<T>();
 21 
 22     binaryTree() = default;
 23 
 24     binaryTree(T data)
 25     {
 26         sz = 1;
 27         top->data = data;
 28         que.push(top);
 29         vec.push_back(0);
 30         vec.push_back(top);
 31     }
 32 
 33     binaryNode<T>* operator[](size_t num) {
 34         if (num == 1)return top;
 35         else
 36         {
 37             return vec[num];
 38         }
 39 
 40 
 41     }
 42     virtual ~binaryTree() {
 43         delete top;
 44     }
 45     virtual size_t size() const { return sz; }
 46 
 47     virtual size_t height()const {
 48         return hi;
 49     }
 50 
 51     virtual void insertls(int num, T data) { insertls(num, new binaryNode<T>(data)); }
 52 
 53     virtual void insertrs(int num, T data) { insertrs(num, new binaryNode<T>(data)); }
 54 
 55     virtual void insertls(int num, binaryNode<T>* node) {
 56         binaryNode<T>* get = this->operator[](num);
 57         assert(get != nullptr);
 58         if (get->rson == NULL)hi++;
 59         sz += node->size();
 60         get->lson = node;
 61         vec.push_back(get->lson);
 62     }
 63 
 64     virtual void insertrs(int num, binaryNode<T>* node) {
 65         binaryNode<T>* get = this->operator[](num);
 66         assert(get != nullptr);
 67         if (get->lson == NULL)hi++;
 68         sz += node->size();
 69         get->rson = node;
 70         vec.push_back(get->rson);
 71     }
 72 
 73 
 74     virtual void insertaslstree(int num, const binaryTree<T>& tree) {
 75         sz += tree.size() - tree.top->size();
 76         insertls(num, tree.top);
 77         hi--;
 78         hi += tree.height();
 79     }
 80 
 81     virtual void insertasrstree(int num, const binaryTree<T>& tree) {
 82         sz += tree.size() - tree.top->size();
 83 
 84         insertrs(num, tree.top);
 85         hi--;
 86         hi += tree.height();
 87     }
 88 
 89     void preorder_traverse(binaryNode<T>* node) {
 90         if (!node)return;
 91         std::cout << node->data << " ";
 92         preorder_traverse(node->lson);
 93         preorder_traverse(node->rson);
 94     }
 95 
 96     void inorder_traverse(binaryNode<T>* node) {
 97         if (!node)return;
 98         inorder_traverse(node->lson);
 99         std::cout << node->data << " ";
100         inorder_traverse(node->rson);
101     }
102 
103     void postorder_traverse(binaryNode<T>* node) {
104         if (!node)return;
105         postorder_traverse(node->lson);
106         postorder_traverse(node->rson);
107         std::cout << node->data << " ";
108     }
109 
110     void remove(int num) {
111         binaryNode<T>* get = this->operator[](num);
112         binaryNode<T>* father = this->operator[](num / 2);
113         if (get->lson || get->rson)
114         {
115             std::cout << "不允许remove" << endl;
116         }
117         else {
118             if (father->lson && father->rson);
119             else hi--;
120             sz--;
121             get->remove();
122         }
123     }
124 
125     bool empty() { return top == nullptr ? true : false; }
126 
127     virtual void traverse_level() {
128         if (!que.empty()) {
129             binaryNode<T>* node = que.front();
130             cout << que.front()->data << " ";
131             que.pop();
132             if (!node)
133                 return;
134             if (node->lson)
135                 que.push(node->lson);
136             if (node->rson)
137                 que.push(node->rson);
138             traverse_level();
139         }
140     }
141 
142 
143 private:
144     size_t sz = 0;
145     size_t hi = top->height();
146     vector<binaryNode<T>*>vec;
147 
148 };
149 template <class T>class BST :public binaryTree<T> {
150 public:
151 
152     BST() = default;
153 
154     size_t size() { return sz; }
155 
156     size_t height() { return hi; }
157 
158     auto changehi(binaryNode<T>* node) {
159         if (node == NULL)
160             return 0;
161         else
162         {
163             return max(changehi(node->lson), changehi(node->rson)) + 1;
164 
165         }
166     }
167     BST(T data)
168     {
169         this->que.push(this->top);
170         sz = 1;
171         this->top->data = data;
172 
173     }
174     void swap(binaryNode<T>* left, binaryNode<T>* right) {
175         T t = left->data;
176         left->data = right->data;
177         right->data = t;
178     }
179     binaryNode<T>* find(binaryNode<T>* node) {
180         binaryNode<T>* cp = this->top;
181         for (size_t i = 0; i < height(); ++i) {
182             if (cp->data == node->data)
183                 return cp;
184             else if (node->data < cp->data)
185             {
186                 if (cp->lson)
187                     cp = cp->lson;
188             }
189             else
190             {
191                 if (cp->rson)
192                     cp = cp->rson;
193             }
194         }
195         return NULL;
196     }
197     binaryNode<T>* search(binaryNode<T>* node) {
198         binaryNode<T>* cp = this->top;
199         while (is_exist(cp)) {
200             if (node->data <= cp->data)
201             {
202                 if (cp->lson)
203                     cp = cp->lson;
204                 else
205                     break;
206             }
207             else
208             {
209                 if (cp->rson)
210                     cp = cp->rson;
211                 else
212                     break;
213             }
214         }
215         return cp;
216     }
217 
218     virtual void insert(binaryNode<T>* node) {
219         binaryNode<T>* tmp = search(node);
220         sz++;
221         if (tmp->data > node->data)
222         {
223             tmp->lson = node;
224             tmp->lson->father = tmp;
225         }
226         else
227         {
228             tmp->rson = node;
229             tmp->rson->father = tmp;
230         }
231         hi = changehi(this->top);
232     }
233     void remove(binaryNode<T>* node) {
234         {
235             traverse();
236             binaryNode<T>* tmp = find(node);
237             assert(tmp);
238             if (tmp->father) {
239                 if (tmp->data > tmp->father->data) {
240                     if (tmp->lson && !tmp->rson)
241                         tmp->father->rson = tmp->lson;
242                     else if (!tmp->lson && tmp->rson)
243                         tmp->father->rson = tmp->rson;
244                     else if (tmp->lson && tmp->rson) {
245                         for (size_t i = 0; i < vec.size(); ++i)
246                         {
247                             if (vec[i] == tmp)
248                             {
249                                 binaryNode<T>* n = vec[i + 1];
250                                 remove(vec[i + 1]);
251                                 swap(vec[i], n);
252                                 
253                             }
254                         }
255                     }
256                     else 
257                         tmp->father->rson = NULL;
258                 }
259                 else {
260                     if (tmp->lson && !tmp->rson)
261                         tmp->father->lson = tmp->lson;
262                     else if (!tmp->lson && tmp->rson)
263                         tmp->father->lson = tmp->rson;
264                     else if (tmp->lson && tmp->rson) {
265                         for (size_t i = 0; i < vec.size(); ++i)
266                         {
267                             if (vec[i] == tmp)
268                             {
269                                 binaryNode<T>* n = vec[i + 1];
270                                 remove(vec[i + 1]);
271                                 swap(vec[i], n);
272                             }
273                         }
274                     }
275                     else  tmp->father->lson = NULL;
276                 }
277             
278                 
279             }
280             else {
281                 for (size_t i = 0; i < vec.size(); ++i)
282                 {
283                     if (vec[i] == this->top)
284                     {
285                         binaryNode<T>* n = vec[i + 1];
286                         remove(vec[i + 1]);
287                         swap(vec[i], n);
288                     }
289                 }
290             }
291         }
292         hi = changehi(this->top);
293     }
294 
295     bool is_exist(binaryNode<T>* node) {
296         if (node->lson || node->rson)
297             return true;
298         else
299             return false;
300     }
301 
302     void inorder_traverse(binaryNode<T>* node) {
303         if (!node)return;
304         inorder_traverse(node->lson);
305         {
306             cout << node->data << " ";
307             vec.push_back(node);
308         }
309         inorder_traverse(node->rson);
310     }
311 
312     void traverse() {
313         for (auto i : vec)
314             cout << i->data << endl;
315     }
316 
317 private:
318     size_t sz;
319     size_t hi = 1;
320     vector<binaryNode<T>*>vec;
321 };
322 
323 
324 int main() {
325 
326     /*binaryTree<char>s('i');
327     s.insertls(1, getNode('d'));
328     s.insertls(2, getNode('c'));
329     s.insertls(3, getNode('a'));
330     s.insertrs(4, getNode('b'));
331     s.insertrs(2, getNode('h'));
332     s.insertls(6, getNode('f'));
333     s.insertls(7, getNode('e'));
334     s.insertrs(7, getNode('g'));
335     s.insertrs(1, getNode('l'));
336     s.insertls(10, getNode('k'));
337     s.insertrs(10, getNode('n'));
338     s.insertls(11, getNode('j'));
339     s.insertls(12, getNode('m'));
340     s.insertrs(12, getNode('p'));
341     s.insertrs(15, getNode('o'));*/
342     /*s.insertls(4, getNode('a'));
343     s.insertrs(8, getNode('b'));
344     s.insertls(5, getNode('f'));
345     s.insertls(10, getNode('e'));
346     s.insertrs(10, getNode('g'));
347     s.insertls(3, getNode('k'));
348     s.insertls(6, getNode('j'));
349     s.insertrs(3, getNode('n'));
350     s.insertrs(7, getNode('p'));
351     s.insertls(7, getNode('m'));
352     s.insertls(15, getNode('o'));*/
353     //cout << s.size();
354     //cout << s[18]->data;
355     //cout << "size:" << s.size();
356     //s.traverse_level();
357     BST<int>s(4);
358     s.insert(getNode(2));
359     s.insert(getNode(9));
360     s.insert(getNode(3));
361     s.insert(getNode(1));
362     s.insert(getNode(7));
363     s.insert(getNode(6));
364     //cout<<s.search(getNode(9))->data;
365     s.insert(getNode(10));
366     s.inorder_traverse(s.top);
367     s.remove(getNode(4));
368     //s.traverse();
369     //s.remove(getNode(4));
370     cout << endl;
371     s.traverse_level();
372     //s.inorder_traverse(s.top);
373     /*s.insert(getNode(8));
374     
375     s.insert(getNode(5));*/
376     //s.inorder_traverse(s.top);
377     //cout << s.changehi(s.top);
378     //    s.insertls(1,getNode('a'));
379 
380 
381 }
 1 #pragma once
 2 template<class T>struct binaryNode {
 3     binaryNode() = default;
 4     binaryNode(T data, binaryNode<T>* father = NULL, binaryNode<T>* lson = NULL, binaryNode<T>* rson = NULL) :
 5         father(father), lson(lson), rson(rson), data(data) {}
 6     binaryNode<T>* father;
 7     binaryNode<T>* lson;
 8     binaryNode<T>* rson;
 9     T data;
10     size_t height() {
11         size_t height = 1;
12         if (lson == NULL && rson == NULL);
13         else
14             height++;
15         return height;
16     }
17     size_t size() {
18         size_t sz = 1;
19         lson == NULL ? sz : sz++;
20         rson == NULL ? sz : sz++;
21         return sz;
22     };
23     auto insertls(T data) {
24         return lson = new binaryNode<T>(data, this);
25     }
26     auto insertrs(T data) {
27         return rson = new binaryNode<T>(data, this);
28     }
29     auto remove() {
30         delete rson;
31         delete lson;
32         delete this;
33     }
34     bool operator<(const binaryNode<T>* node) { return node->data < data ? true : false; }
35     bool operator>(const binaryNode<T>* node) { return !(node < this); }
36     bool operator==(const binaryNode<T>* node) { return data == node->data; }
37 
38 };

 

posted @ 2020-09-13 10:27  世界を変える御宅族  阅读(244)  评论(0)  编辑  收藏  举报