【STL源码剖析读书笔记】自己实现priority_queue之MyPriorityQueue
MyHeap.h
#ifndef MY_HEAP_H
#define MY_HEAP_H
#include<iostream>
#include<vector>
#define max_value 99999999
//仿函数
template<typename T>
struct MyLess{
bool operator()(const T& x, const T& y) const { return x < y; }
};
template<typename T>
struct MyGreater{
bool operator()(const T& x, const T& y) const { return x > y; }
};
template<typename T, typename Compare = MyLess<T>>
class MyHeap{
private:
std::vector<T> vec; //堆的底层容器
int num_of_element; //堆中元素个数
const int start_index = 1; //堆在底层容器中从位置1开始
Compare comp;
public:
//用了一个小技巧，将vector的#0元素保留，可知某节点位于vector的i处时，其左子节点位于2*i处，右子节点位于2*i+1处，父节点位于i/2处
MyHeap() :num_of_element(0){ vec.push_back(max_value); }
template<typename RandomAccessIterator>
void initial_heap(RandomAccessIterator begin, RandomAccessIterator end);
void push_heap(T element);
void pop_heap();
void sort_heap();
void make_heap();
void percolate_up(int hole_index, T value); //上溯程序
void adjust_heap(int hole_index, T value); //调整程序，包括下溯操作和上溯操作
void print_heap();
std::vector<T>& get_vector(){ return vec; }
};
//initial_heap(RandomAccessIterator begin, RandomAccessIterator end)
template<typename T, typename Compare>
template<typename RandomAccessIterator>
void MyHeap<T, Compare>::initial_heap(RandomAccessIterator begin, RandomAccessIterator end){
for (RandomAccessIterator it = begin; it != end; ++it){
vec.push_back(*it);
++num_of_element;
}
}
//push_heap(T element)
template<typename T, typename Compare>
void MyHeap<T, Compare>::push_heap(T element){
vec.push_back(element);
++num_of_element;
percolate_up(num_of_element, element);
}
//percolate_up(int hole_index, T value)
template<typename T, typename Compare>
void MyHeap<T, Compare>::percolate_up(int hole_index, T value){
int parent = hole_index / 2; //找出洞节点的父节点
while (hole_index > start_index&&comp(vec[parent], value)){//没到顶点且父值小于插入值
vec[hole_index] = vec[parent];//洞值为父值
hole_index = parent; //调整洞号
parent = hole_index / 2; //新洞的父节点
}
vec[hole_index] = value; //洞值为插入值
}
//pop_heap()
template<typename T, typename Compare>
void MyHeap<T, Compare>::pop_heap(){
T adjust_value = vec[num_of_element];//堆的最后一个节点需要调整
vec[num_of_element] = vec[start_index];//vec中最后一个元素为最大值
--num_of_element; //堆中元素减1
adjust_heap(start_index, adjust_value);
}
//adjust_heap(int hole_index, T value)
template<typename T, typename Compare>
void MyHeap<T, Compare>::adjust_heap(int hole_index, T value){
int right_child = 2 * hole_index + 1; //洞节点的右子节点
while (right_child <= num_of_element){
if (comp(vec[right_child], vec[right_child - 1])) //比较左右两个子节点的值
--right_child;
vec[hole_index] = vec[right_child];//洞值为左右两个子节点中较大的值
hole_index = right_child; //调整洞号
right_child = 2 * hole_index + 1; //新洞节点的右子节点
}
if (right_child == num_of_element + 1){ //没有右子节点，只有左子节点
vec[hole_index] = vec[right_child - 1]; //左子值为洞值
hole_index = right_child - 1;//洞节点为左子节点
}
vec[hole_index] = value; //洞值为插入值
//percolate_up(hole_index, value); //此时可能尚未满足次序特性，执行上溯操作,可能有问题
//注意，跟STL源码剖析说执行一次percolate up操作有区别，执行一次可能会出错
int yejiedian = num_of_element;
while (yejiedian >= hole_index){
percolate_up(yejiedian, vec[yejiedian]); //此时可能尚未满足次序特性，执行上溯操作
--yejiedian;
}
}
//sort_heap()
template<typename T, typename Compare>
void MyHeap<T, Compare>::sort_heap(){
while (num_of_element > 0)
pop_heap();
}
//make_heap()
template<typename T, typename Compare>
void MyHeap<T, Compare>::make_heap(){
//cout << "make heap过程：" << endl;
if (num_of_element < 2) //长度为0或1,不必重新排列
return;
int parent = num_of_element / 2; //第一个需要重排的子树头部
while (true){
adjust_heap(parent, vec[parent]);
//print_heap();
if (parent == 1) //走完根节点就结束
return;
--parent;
}
}
//print_heap()
template<typename T, typename Compare>
void MyHeap<T, Compare>::print_heap(){
for (int i = 1; i <= num_of_element; ++i)
std::cout << vec[i] << " ";
std::cout << std::endl;
}
#endifMyPriorityQueue.h
#ifndef MY_PRORITY_QUEUE_h
#define MY_PRORITY_QUEUE_h
#include "MyHeap.h"
template<typename T,typename Compare=MyLess<T>>
class MyPriorityQueue{
private:
MyHeap<T, Compare> heap; //底层用堆实现
const int top_index = 1;
public:
MyPriorityQueue() :heap(){}
template<typename InputIterator>
MyPriorityQueue(InputIterator first, InputIterator last){
heap.initial_heap(first, last);
heap.make_heap();
}
bool empty(){ return heap.get_vector().size() == 1; } //注意heap的底层的vector第一个元素保留
int size(){ return heap.get_vector().size() - 1; }
T top(){ return heap.get_vector()[top_index]; }
void push(const T& t){
heap.push_heap(t);
}
void pop(){
heap.pop_heap();
heap.get_vector().erase(--heap.get_vector().end());
}
};
#endifmain.cpp
#include "MyPriorityQueue.h"
using namespace std;
int main(){
int ia[] = { 24, 26, 31, 13, 19, 21, 65, 68, 16 };
MyPriorityQueue<int> que1(begin(ia), end(ia));
cout << "top:" << que1.top() << endl; //top:68
cout << "size:" << que1.size() << endl;//size:9
que1.pop();
cout << "top:" << que1.top() << endl;//top:65
cout << "size:" << que1.size() << endl;//size:8
que1.push(100);
cout << "top:" << que1.top() << endl; //top:100
cout << "size:" << que1.size() << endl;//size:9
cout << endl;
MyPriorityQueue<int,MyGreater<int>> que2(begin(ia), end(ia));
cout << "top:" << que2.top() << endl; //top:13
cout << "size:" << que2.size() << endl;//size:9
que2.pop();
cout << "top:" << que2.top() << endl;//top:16
cout << "size:" << que2.size() << endl;//size:8
que2.push(1);
cout << "top:" << que2.top() << endl;//top:1
cout << "size:" << que2.size() << endl;//size:9
cout << endl;
MyPriorityQueue<int> que3;
cout << (que3.empty() ? "empty" : "not empty") << endl;//empty
que3.push(3);
que3.push(2);
que3.push(4);
que3.push(5);
que3.push(1);
cout << "top:" << que3.top() << endl; //top:5
cout << "size:" << que3.size() << endl;//size:5
que3.pop();
cout << "top:" << que3.top() << endl;//top:4
cout << "size:" << que3.size() << endl;//size:4
system("pause");
return 0;
}