代码如下(小根堆):
#include <iostream>
#include <assert.h>
using namespace std;//小根堆,堆排序从大到小排
class Heap
{
public:Heap():data(nullptr), size(0), capacity(0) {}~Heap(){delete[] data;data = nullptr;size = 0;capacity = 0;}/*void Swap(int *a, int *b){int tmp = *a;*a = *b;*b = tmp;}*/void ShiftDown(int n, int cur);void ShiftUp(int n, int cur);void CreateHeap(int *arr, int n);void CheckCapacity();void HeapSort();void HeapInsert(int value);void HeapPop();void HeapDestory(){delete[] data;data = nullptr;size = 0;capacity = 0;}int GetTop();bool HeapEmpty();void PrintHeap();private:int *data;int size;int capacity;
};void Heap::ShiftDown(int n, int cur)
{int child = 2 * cur + 1;while (child < n){if (child + 1 < n && data[child + 1] < data[child]) child++;if (data[child] < data[cur]){swap(data[child], data[cur]);cur = child;child = 2 * cur + 1;}else break;}
}void Heap::ShiftUp(int n, int cur)
{int parent = (cur - 1) / 2;while (cur > 0){if (data[parent] > data[cur]){swap(data[parent], data[cur]);cur = parent;parent = (cur - 1) / 2;}else break;}
}void Heap::CheckCapacity()
{if (capacity == size){int newC = capacity == 0 ? 1 : 2 * capacity;int *tmp = new int[newC];assert(tmp);for (int i = 0; i < size; i++) tmp[i] = data[i];delete[] data;data = tmp;tmp = nullptr;capacity = newC;}
}void Heap::CreateHeap(int *arr, int n)
{data = new int[n];for (int i = 0; i < n; i++) data[i] = arr[i];size = n;capacity = n;for (int i = (n - 2) / 2; i >= 0; i--)ShiftDown(n, i);
}void Heap::HeapSort()
{int end = size - 1;while (end > 0){swap(data[0], data[end]);ShiftDown(end, 0);end--;}
}void Heap::HeapInsert(int value)
{if (data != nullptr){CheckCapacity();data[size++] = value;ShiftUp(size, size - 1);}
}void Heap::HeapPop()
{if (data != nullptr &&size > 0){data[0] = data[--size];ShiftDown(size, 0);}
}int Heap::GetTop()
{return data[0];
}bool Heap::HeapEmpty()
{if (data == nullptr || size == 0) return true;return false;
}void Heap::PrintHeap()
{if (data != nullptr){for (int i = 0; i < size; i++) cout << data[i] << " ";cout << endl;}
}int main()
{Heap h;int a[10] = { 23,445,1312,46,3252,12,42,12,53,13 };h.CreateHeap(a,10);h.HeapSort();h.PrintHeap();cout << h.GetTop() << endl;h.HeapPop();cout << h.GetTop() << endl;h.HeapInsert(1);cout << h.GetTop() << endl;h.HeapDestory();if (h.HeapEmpty()) cout << "empty" << endl;else cout << "not empty" << endl;return 0;}
测试结果: