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快速排序与堆排序效率对比(TimeSpan计时)

  1 using System;
  2 using System.Collections.Generic;
  3 using System.Linq;
  4 using System.Text;
  5 
  6 namespace HeapSort
  7 {
  8     public static class Heap
  9     {
 10         /// <summary>
 11         /// 堆排序
 12         /// </summary>
 13         /// <param name="arr">数组</param>
 14         public static void Sort(int[] arr)
 15         {
 16             //初始化堆
 17             InitialHeap(arr);
 18             //无序区递减
 19             for (int i = arr.Length - 1; i > 0; --i)
 20             {
 21                 //交换堆顶元素与无序区末端元素
 22                 Program.Swap(ref arr[0], ref arr[i]);
 23                 //堆化新无序区
 24                 Heapify(arr, 0, i);
 25             }
 26         }
 27 
 28         /// <summary>
 29         /// 初始化堆
 30         /// </summary>
 31         /// <param name="arr">数组</param>
 32         private static void InitialHeap(int[] arr)
 33         {
 34             //堆化所有以非叶子节点为堆顶的数据
 35             for (int i = arr.Length / 2 - 1; i >= 0; --i)
 36             {
 37                 Heapify(arr, i, arr.Length);
 38             }
 39         }
 40 
 41         /// <summary>
 42         /// 以指定节点为堆顶,由上至下递归堆化其所有子节点
 43         /// </summary>
 44         /// <param name="arr">数组</param>
 45         /// <param name="nodeIndex">堆顶节点索引</param>
 46         /// <param name="heapSize">堆大小(这里指数组无序区大小)</param>
 47         private static void Heapify(int[] arr, int nodeIndex, int heapSize)
 48         {
 49             //左右子节点索引
 50             int leftIndex = nodeIndex * 2 + 1;
 51             int rightIndex = nodeIndex * 2 + 2;
 52             //最大值节点索引
 53             int maxIndex = nodeIndex;
 54 
 55             //左子节点存在,并且值大于最大值节点
 56             if (leftIndex < heapSize && arr[leftIndex] > arr[maxIndex])
 57                 maxIndex = leftIndex;//调整最大值节点索引
 58 
 59             //右节点存在,并且值大于最大值
 60             if (rightIndex < heapSize && arr[rightIndex] > arr[maxIndex])
 61                 maxIndex = rightIndex;//调整最大值节点索引
 62 
 63             //两次比较之后,堆顶节点值不是最大
 64             if (maxIndex != nodeIndex)
 65             {
 66                 //将最大值交换至堆顶
 67                 Program.Swap(ref arr[nodeIndex], ref arr[maxIndex]);
 68                 //堆结构发生变化,递归调整堆
 69                 Heapify(arr, maxIndex, heapSize);
 70             }
 71         }//end Method Heapify()
 72     }//end class Heap
 73 
 74     class Program
 75     {
 76         private static Random Seed = new Random();//Random Seed
 77 
 78         //交换
 79         public static void Swap(ref int a, ref int b)
 80         {
 81             int t = a;
 82             a = b;
 83             b = t;
 84         }
 85 
 86         /// <summary>
 87         /// 快速排序
 88         /// </summary>
 89         /// <param name="arr">数组</param>
 90         /// <param name="begin">起始索引</param>
 91         /// <param name="end">结束索引</param>
 92         /// <param name="isRandomKey">是否随机取Key</param>
 93         private static void QuickSort(int[] arr, int begin, int end, bool isRandomKey)
 94         {
 95             //起始索引小于结束索引,排序未完成
 96             if (begin < end)
 97             {
 98                 int i = begin - 1, j = end + 1, key;
 99                 if (!isRandomKey)
100                     key = arr[(begin + end) / 2];
101                 else//随机取Key
102                     key = arr[Seed.Next(begin, end)];
103 
104                 while (true)
105                 {
106                     //第一个大于Key值的元素索引
107                     while (i < end && arr[++i] < key) ;
108                     //最后一个小于Key值的元素索引
109                     while (j > 0 && arr[--j] > key) ;
110 
111                     //索引已无需交换
112                     if (i >= j)
113                         break;
114                     //交换元素
115                     Swap(ref arr[i], ref arr[j]);
116                 }
117 
118                 QuickSort(arr, begin, i - 1, isRandomKey);//左部分子递归
119                 QuickSort(arr, j + 1, end, isRandomKey);//右部分子递归
120             }//end if(begin < end)
121         }//end QuickSort()
122 
123         /// <summary>
124         /// 计算经过毫秒数
125         /// </summary>
126         /// <param name="dtStart">起始时间</param>
127         /// <param name="dtEnd">结束时间</param>
128         /// <returns>返回毫秒数</returns>
129         private static double GetMilliSecond(DateTime dtStart, DateTime dtEnd)
130         {
131             TimeSpan ts1 = new TimeSpan(dtStart.Ticks);
132             TimeSpan ts2 = new TimeSpan(dtEnd.Ticks);
133             TimeSpan ts = ts1.Subtract(ts2).Duration();
134             return ts.TotalMilliseconds;
135         }
136 
137         //输出
138         static void Output(int[] arr)
139         {
140             foreach (var item in arr)
141                 Console.Write(item + " ");
142 
143             Console.WriteLine();
144         }
145 
146         static void Main(string[] args)
147         {
148             int ArrLen = 0;//数组长度
149 
150 ReInput://重新输入
151 
152             Console.Write("请输入待测试数组长度:");
153             if (!int.TryParse(Console.ReadLine(), out ArrLen))
154             {
155                 Console.WriteLine("输入错误!");
156                 goto ReInput;
157             }
158 
159             //数组1,测试快速排序
160             int[] NumArr = new int[ArrLen];
161             //数组2,测试堆排序
162             int[] NumArr_2 = new int[NumArr.Length];
163 
164             Console.WriteLine("正在随机初始化数组元素……");
165             for (int i = 0; i < NumArr.Length; i++)//随机(-1000 ~ 1000)初始化数组元素
166                 NumArr[i] = Seed.Next(-1000, 1000);
167 
168             Console.WriteLine("初始化完成");
169 
170             Console.WriteLine("\n复制元素值到数组2……");
171             for (int i = 0; i < NumArr.Length; i++)//复制元素值
172                 NumArr_2[i] = NumArr[i];
173 
174             Console.WriteLine("复制完成");
175 
176             /*//取消该段注释,输出排序前数组
177             Console.Write("排序前:");
178             Output(NumArr);
179              */
180              
181 
182             Console.Write("\n开始快速排序,请稍后……");
183             DateTime dtStart = DateTime.Now;
184             QuickSort(NumArr, 0, NumArr.Length - 1, false);
185             //
186             DateTime dtEnd = DateTime.Now;
187             Console.WriteLine("\n快速排序完成,用时:{0} 毫秒", GetMilliSecond(dtStart, dtEnd));
188 
189             /*//取消该段注释,输出排序后数组
190             Console.Write("\n\n\n排序后:");
191             Output(NumArr);
192              */
193 
194             //.............................................................................................
195 
196             Console.Write("\n开始堆排序,请稍后……");
197             dtStart = DateTime.Now;
198             Heap.Sort(NumArr_2);
199             //
200             dtEnd = DateTime.Now;
201             Console.WriteLine("\n堆排序完成,用时:{0} 毫秒", GetMilliSecond(dtStart, dtEnd));
202 
203             /*//取消该段注释,输出排序后数组
204             Console.Write("\n\n\n排序后:");
205             Output(NumArr_2);
206              */
207 
208             Console.Write("按任意键退出……");
209             Console.ReadKey(true);
210         }//end Main()
211     }//end class Program
212 }//end namespace

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posted @ 2013-01-26 14:53  __Meow  阅读(636)  评论(0编辑  收藏  举报