简易版的堆的写法

个人认为重点写出max_heapify和parent_heapify两个函数即可，这个版本内存管理的功能显得特别简单：

#include<iostream>
#include<stdio.h>

using namespace std;

class Heap {
public:
  int size, capacity;
  int *ele;
  void max_heapify(int i,int heap[],int len){//数组从0开始   
    int l,r,largest;  
    l=2*i+1;   r=2*i+2;  
    if( l<len && heap[l]>heap[i] )  
      largest=l;  
    else  
      largest=i;  
    if( r<len && heap[r]>heap[largest] )  
      largest=r;  
    if(largest!=i){  
      swap( heap[largest],heap[i] );  
      max_heapify(largest,heap,len);  
    }  
  }
  void parent_heapify(int i,int heap[],int len){//和parent结点不断交换   
    int parent = i / 2;  
    while (heap[i] > heap[parent]) {  
      swap(heap[i], heap[parent]);  
      i = parent, parent = i / 2;  
    }  
  } 

  Heap(int capacity, int heap[], int len) {
    this->capacity = capacity, this->size = len;
    ele = heap;
    for(int i = size/2-1 ; i >= 0; i--)  
      max_heapify(i,ele,size);
  }
  bool push(int val) {
    if (size < capacity) {
      ele[size++] = val;
      parent_heapify(size - 1, ele, size);
      return true;
    }
    else
      return false;
  }
  void pop() {
    swap(ele[0], ele[size--]);
    max_heapify(0, ele, size);
  }
  int top() {
    return ele[0];
  }
};

int main() {
  int a[10] = {1,2,3,4,5,6,7};
  int len = sizeof(a) / sizeof(a[0]);
  Heap heap(10, a, 7);
  heap.pop();
  heap.push(10);

  return 0;
}

Above code isn't right in the function parent_heapify: parent = (i-1) / 2;

完整版：

#include<iostream>
#include<stdio.h>

using namespace std;

class Heap {
 private:
  int *arr, size, capacity;
 public:
  
  void max_heapify(int heap[], int i, int size) {
    int l = 2 * i + 1, largest = i;
    if (l < size && heap[l] > heap[i])
      largest = l;
    int r = 2 * i + 2;
    if (r < size && heap[r] > heap[largest])
      largest = r;
    if (largest != i) {
      swap(heap[largest], heap[i]);
      max_heapify(heap, largest, size);      
    }
  }
  void parent_heapify(int heap[], int i, int size) {
    if (i >= size)
      return;
    int parent = (i - 1) / 2;
    while (i != 0 && heap[i] > heap[parent]) {
      swap(heap[i], heap[parent]);
      i = parent, parent = (i - 1) / 2;
    }
  }
  Heap(int heap[], int len, int cap) {
    if (len> cap)
      this->capacity = this->size = len;
    else
      this->capacity = cap, this->size = len;
    arr = new int[capacity];
    memcpy(arr, heap, len * sizeof(int));
    for (int i = len / 2 - 1; i >= 0; --i) 
      max_heapify(arr, i, size);
  }
  ~Heap() {
    delete[] arr;
    arr = NULL;
  }
  void push(int val) {
    if (size >= capacity) {
      capacity *= 2;
      int *tmp = arr;
      arr= new int[capacity];
      memcpy(arr, tmp, sizeof(arr[0]) * size);
      delete[] tmp;
    }
    arr[size++] = val;
    parent_heapify(arr, size - 1, size);
  }
  void pop() {
    if (size == 0)
      return;
    else {
      swap(arr[0], arr[--size]);
      max_heapify(arr, 0, size);
    }
  }
  int top() {
    return size == 0 ? -1 : arr[size - 1];
  }
};

int main() {
  int a[] = {0,1,2,3,4,5,6};
  Heap heap(a, sizeof(a) / sizeof(a[0]), 10);
  heap.push(7);
  heap.push(8);
  heap.push(9);
  heap.push(10);
  heap.pop();
  int res = heap.top();
  return 0;

}