BinaryTree

This commit is contained in:
e2hang
2025-08-06 16:22:28 +08:00
parent 07f34fe0bb
commit 5bdb044421
6 changed files with 225 additions and 0 deletions

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cmake_minimum_required(VERSION 3.31)
project(BTree)
set(CMAKE_CXX_STANDARD 20)
add_executable(BTree main.cpp
binaryTreeNode.h
binaryTree.h
linkedBinaryTree.h)

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//
// Created by PC on 25-8-6.
//
#ifndef BINARYTREE_H
#define BINARYTREE_H
#include "binaryTreeNode.h"
template <class T>
class binaryTree {
public:
virtual ~binaryTree() = default;
virtual bool empty() const = 0;
virtual int size() const = 0;
virtual void preOrder(void(*) (binaryTreeNode<T>*) ) const = 0;
virtual void inOrder(void(*) (binaryTreeNode<T>*) ) const = 0;
virtual void postOrder(void(*) (binaryTreeNode<T>*) ) const = 0;
virtual void levelOrder(void(*) (binaryTreeNode<T>*) ) const = 0;
};
#endif //BINARYTREE_H

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//
// Created by PC on 25-8-6.
//
#ifndef BINARYTREENODE_H
#define BINARYTREENODE_H
template<class T>
class binaryTreeNode {
public:
T element;
binaryTreeNode<T>* left;
binaryTreeNode<T>* right;
public:
binaryTreeNode() {left = right = nullptr;}
explicit binaryTreeNode(const T& e) : element(e), left(nullptr), right(nullptr) {}
binaryTreeNode(const T& e, binaryTreeNode<T>* l, binaryTreeNode<T>* r) : element(e), left(l), right(r) {}
~binaryTreeNode() = default;
};
#endif //BINARYTREENODE_H

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//
// Created by PC on 25-8-6.
//
#ifndef LINKEDBINARYTREE_H
#define LINKEDBINARYTREE_H
#include <iostream>
#include <deque>
#include <queue>
#include "binaryTree.h"
#include "binaryTreeNode.h"
template <class T>
class linkedBinaryTree : public binaryTree<T> {
private:
static std::deque<binaryTreeNode<T> *> nodes;
binaryTreeNode<T>* root;
int tsize;
static void (*visit)(binaryTreeNode<T>* node);//存储visit
static void preOrder(binaryTreeNode<T>* node) {
if (node == nullptr) return;
bool isLeaf = (node->left == nullptr && node->right == nullptr);
if (!isLeaf) std::cout << "(";
visit(node);
preOrder(node->left);
preOrder(node->right);
if (!isLeaf) std::cout << ")";
}
static void inOrder(binaryTreeNode<T>* node) {
if (node == nullptr) return;
// 对非叶子节点加括号
bool isLeaf = (node->left == nullptr && node->right == nullptr);
if (!isLeaf) std::cout << "(";
inOrder(node->left);
visit(node);
inOrder(node->right);
if (!isLeaf) std::cout << ")";
}
static void postOrder(binaryTreeNode<T>* node) {
if (node == nullptr) return;
bool isLeaf = (node->left == nullptr && node->right == nullptr);
if (!isLeaf) std::cout << "(";
postOrder(node->left);
postOrder(node->right);
visit(node);
if (!isLeaf) std::cout << ")";
}
//层序遍历levelOrder使用deque这人好聪明
static void levelOrder(binaryTreeNode<T>* node) {
std::deque<binaryTreeNode<T>*> tmp;
tmp.push_back(node);
nodes.push_back(node);
//开始
while (!tmp.empty()) {
binaryTreeNode<T>* current = tmp.front();
tmp.pop_front();
if (current->left != nullptr) {
nodes.push_back(current->left);
tmp.push_back(current->left);
}
if (current->right != nullptr) {
nodes.push_back(current->right);
tmp.push_back(current->right);
}
}
for (binaryTreeNode<T>* x : nodes) {
std::cout << x->element;
}
}
static void dispose(binaryTreeNode<T>* node) {
if (node == nullptr) return;
dispose(node->left);
dispose(node->right);
std::cout << "disposing " << node->element << std::endl;
delete node;
}
public:
linkedBinaryTree() {root = nullptr;tsize = 0;}
explicit linkedBinaryTree(binaryTreeNode<T>* x ) {root = x;tsize = 1;}
~linkedBinaryTree() override {erase();}
bool empty() const override {return tsize == 0;}
void preOrder(void(*Ivisit) (binaryTreeNode<T>*)) const override {visit = Ivisit; preOrder(root);}
//传入的是一个函数在private里有void (*visit)来储存函数入口,从而在遍历的时候进行操作(输出,计算等)
//操作的函数是visit即访问到该node之后进行什么操作
void inOrder(void(*Ivisit) (binaryTreeNode<T>*)) const override{visit = Ivisit; inOrder(root);}
void postOrder(void(*Ivisit) (binaryTreeNode<T>*)) const override {visit = Ivisit; postOrder(root);}
void levelOrder(void(*Ivisit) (binaryTreeNode<T>*)) const override {visit = Ivisit; levelOrder(root);}
int size() const override {return tsize;}
void erase() {
//postOrder(dispose);
dispose(root);
root = nullptr;
tsize = 0;
}
};
template<typename T>
void (*linkedBinaryTree<T>::visit)(binaryTreeNode<T>*) = nullptr;
template<typename T>
std::deque<binaryTreeNode<T> *> linkedBinaryTree<T>::nodes;
#endif //LINKEDBINARYTREE_H

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#include <iostream>
#include <string>
#include <vector>
#include "linkedBinaryTree.h"
using namespace std;
vector<string> m;
void func(binaryTreeNode<string>* node) {
cout << node->element;
}
int main() {
/*
* x
* + -
* a b c d
*/
//构建要从下往上构建,注意如果是 new了一个[]必须delete []而不能直接delete t[i]
auto t0 = new binaryTreeNode<string>("a");
auto t1 = new binaryTreeNode<string>("b");
auto t2 = new binaryTreeNode<string>("c");
auto t3 = new binaryTreeNode<string>("d");
auto t4 = new binaryTreeNode<string>("+", t0, t1);
auto t5 = new binaryTreeNode<string>("-", t2, t3);
auto t6 = new binaryTreeNode<string>("x", t4, t5);
linkedBinaryTree<string> tree(t6);
cout << endl;
tree.inOrder(func);
cout << endl;
tree.preOrder(func);
cout << endl;
tree.postOrder(func);
cout << endl;
tree.levelOrder(func);
cout << endl;
return 0;
}
/*
Output:
((a+b)x(c-d))
(x(+ab)(-cd))
((ab+)(cd-)x)
x+-abcd
disposing a
disposing b
disposing +
disposing c
disposing d
disposing -
disposing x
*/