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‎2 Sorting/2.4/2.4.40/2.4.40.csproj‎

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<?xml version="1.0" encoding="utf-8"?>
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<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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<Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
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<PropertyGroup>
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<Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
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<Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
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<ProjectGuid>{CDF9928F-60D3-46B7-BCC3-170D3B2C6A8D}</ProjectGuid>
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<OutputType>Exe</OutputType>
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<RootNamespace>_2._4._40</RootNamespace>
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<AssemblyName>2.4.40</AssemblyName>
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<TargetFrameworkVersion>v4.7</TargetFrameworkVersion>
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<FileAlignment>512</FileAlignment>
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<AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
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<Deterministic>true</Deterministic>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugSymbols>true</DebugSymbols>
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<DebugType>full</DebugType>
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<Optimize>false</Optimize>
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<OutputPath>bin\Debug\</OutputPath>
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<DefineConstants>DEBUG;TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
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<PlatformTarget>AnyCPU</PlatformTarget>
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<DebugType>pdbonly</DebugType>
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<Optimize>true</Optimize>
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<OutputPath>bin\Release\</OutputPath>
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<DefineConstants>TRACE</DefineConstants>
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<ErrorReport>prompt</ErrorReport>
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<WarningLevel>4</WarningLevel>
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</PropertyGroup>
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<ItemGroup>
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<Reference Include="System" />
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<Reference Include="System.Core" />
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<Reference Include="System.Xml.Linq" />
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<Reference Include="System.Data.DataSetExtensions" />
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<Reference Include="Microsoft.CSharp" />
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<Reference Include="System.Data" />
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<Reference Include="System.Net.Http" />
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<Reference Include="System.Xml" />
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</ItemGroup>
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<ItemGroup>
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<Compile Include="Program.cs" />
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<Compile Include="Properties\AssemblyInfo.cs" />
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</ItemGroup>
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<ItemGroup>
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<None Include="App.config" />
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</ItemGroup>
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<ItemGroup>
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<ProjectReference Include="..\PriorityQueue\PriorityQueue.csproj">
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<Project>{e040340e-ebb2-4650-8e19-ee46eb684e14}</Project>
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<Name>PriorityQueue</Name>
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</ProjectReference>
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</ItemGroup>
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<Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
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</Project>

‎2 Sorting/2.4/2.4.40/App.config‎

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<?xml version="1.0" encoding="utf-8" ?>
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<configuration>
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<startup>
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<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.7" />
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</startup>
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</configuration>

‎2 Sorting/2.4/2.4.40/Program.cs‎

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using System;
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using System.IO;
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using PriorityQueue;
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namespace _2._4._40
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{
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/*
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* 2.4.40
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*
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* Floyd 方法。
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* 根据正文中 Floyd 的先沉后浮思想实现堆排序。
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* 对于 N=10^3、10^6 和 10^9 大小的随机不重复数组，
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* 记录你的程序所使用的比较次数和标准实现所使用的比较次数。
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*
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*/
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class Program
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{
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static Random random = new Random();
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static void Main(string[] args)
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{
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Console.WriteLine("n\tOrigin\tFloyd\tRatio");
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int n = 1000; // 当数据量到达 10^9 时会需要 2G 左右的内存
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int multiTen = 7;
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for (int i = 0; i < multiTen; i++)
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{
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short[] data = GetRandomArray(n);
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BackupArray(data, i); // 暂存数组
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long originCount = HeapAnalysis.Sort(data);
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RestoreArray(data, i); // 恢复数组
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long floydCount = HeapFloydAnalysis.Sort(data);
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Console.WriteLine(n + "\t" + originCount + "\t" + floydCount + "\t" + (double)floydCount / originCount);
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n *= 10;
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}
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}
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static void BackupArray(short[] data, int index)
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{
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StreamWriter sw =
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File.CreateText
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(Environment.CurrentDirectory +
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Path.DirectorySeparatorChar +
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"data" + index + ".txt");
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for (int i = 0; i < data.Length; i++)
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{
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sw.WriteLine(data[i]);
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}
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sw.Flush();
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sw.Close();
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}
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static void RestoreArray(short[] data, int index)
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{
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StreamReader sr =
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File.OpenText
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(Environment.CurrentDirectory +
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Path.DirectorySeparatorChar +
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"data" + index + ".txt");
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for (int i = 0; i < data.Length; i++)
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{
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data[i] = short.Parse(sr.ReadLine());
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}
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sr.Close();
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}
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static short[] GetRandomArray(int n)
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{
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short[] data = new short[n];
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for (int i = 0; i < n; i++)
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{
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data[i] = (short)random.Next();
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}
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return data;
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}
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}
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}

‎2 Sorting/2.4/2.4.40/Properties/AssemblyInfo.cs‎

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using System.Reflection;
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using System.Runtime.InteropServices;
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// 有关程序集的一般信息由以下
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// 控制。更改这些特性值可修改
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// 与程序集关联的信息。
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[assembly: AssemblyTitle("2.4.40")]
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[assembly: AssemblyDescription("")]
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[assembly: AssemblyConfiguration("")]
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[assembly: AssemblyCompany("")]
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[assembly: AssemblyProduct("2.4.40")]
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[assembly: AssemblyCopyright("Copyright © 2018")]
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[assembly: AssemblyTrademark("")]
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[assembly: AssemblyCulture("")]
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// 将 ComVisible 设置为 false 会使此程序集中的类型
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//对 COM 组件不可见。如果需要从 COM 访问此程序集中的类型
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//请将此类型的 ComVisible 特性设置为 true。
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[assembly: ComVisible(false)]
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// 如果此项目向 COM 公开，则下列 GUID 用于类型库的 ID
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[assembly: Guid("cdf9928f-60d3-46b7-bcc3-170d3b2c6a8d")]
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// 程序集的版本信息由下列四个值组成:
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//
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// 主版本
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// 次版本
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// 生成号
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// 修订号
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//
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// 可以指定所有值，也可以使用以下所示的 "*" 预置版本号和修订号
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// 方法是按如下所示使用“*”: :
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// [assembly: AssemblyVersion("1.0.*")]
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[assembly: AssemblyVersion("1.0.0.0")]
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[assembly: AssemblyFileVersion("1.0.0.0")]

‎2 Sorting/2.4/PriorityQueue/HeapAnalysis.cs‎

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/// <summary>
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/// 堆排序的比较次数。
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/// </summary>
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private static int compareTimes;
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private static long compareTimes;
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/// <summary>
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/// 利用堆排序对数组进行排序，返回比较次数。
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/// </summary>
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/// <param name="pq">需要排序的数组。</param>
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public static int Sort<T>(T[] pq) where T : IComparable<T>
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public static long Sort<T>(T[] pq) where T : IComparable<T>
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{
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compareTimes = 0;
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int n = pq.Length;

‎2 Sorting/2.4/PriorityQueue/HeapFloyd.cs‎

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using System;
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namespace PriorityQueue
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{
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/// <summary>
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/// 堆排序类，提供 Floyd 优化的堆排序的静态方法。
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/// </summary>
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/// <typeparam name="T">需要排序的元素类型。</typeparam>
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public static class HeapFloyd
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{
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/// <summary>
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/// 利用堆排序对数组进行排序。
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/// </summary>
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/// <param name="pq">需要排序的数组。</param>
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public static void Sort<T>(T[] pq) where T : IComparable<T>
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{
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int n = pq.Length;
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// 建堆
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for (int k = n / 2; k >= 1; k--)
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{
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Sink(pq, k, n);
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}
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// 排序
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while (n > 1)
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{
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Exch(pq, 1, n--);
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SinkThenSwim(pq, 1, n);
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}
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}
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/// <summary>
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/// 令堆中的元素下沉。
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/// </summary>
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/// <param name="pq">需要执行操作的堆。</param>
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/// <param name="k">需要执行下沉的结点下标。</param>
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/// <param name="n">堆中元素的数目。</param>
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private static void Sink<T>(T[] pq, int k, int n) where T : IComparable<T>
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{
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while (2 * k <= n)
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{
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int j = 2 * k;
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if (j < n && Less(pq, j, j + 1))
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j++;
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if (!Less(pq, k, j))
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break;
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Exch(pq, k, j);
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k = j;
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}
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}
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/// <summary>
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/// 先下沉后上浮。
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/// </summary>
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/// <typeparam name="T">堆中的元素类型。</typeparam>
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/// <param name="pq">包含堆元素的数组。</param>
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/// <param name="k">要下沉的元素。</param>
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/// <param name="n">元素数量。</param>
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private static void SinkThenSwim<T>(T[] pq, int k, int n) where T : IComparable<T>
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{
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while (2 * k <= n)
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{
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int j = 2 * k;
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if (j < n && Less(pq, j, j + 1))
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j++;
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Exch(pq, k, j);
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k = j;
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}
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Swim(pq, k);
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}
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/// <summary>
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/// 使元素上浮。
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/// </summary>
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/// <param name="k">需要上浮的元素。</param>
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private static void Swim<T>(T[] pq, int k) where T : IComparable<T>
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{
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while (k > 1 && Less(pq, k / 2, k))
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{
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Exch(pq, k, k / 2);
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k /= 2;
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}
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}
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/// <summary>
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/// 比较堆中下标为 <paramref name="a"/> 的元素是否小于下标为 <paramref name="b"/> 的元素。
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/// </summary>
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/// <param name="pq">元素所在的数组。</param>
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/// <param name="a">需要比较是否较小的结点序号。</param>
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/// <param name="b">需要比较是否较大的结点序号。</param>
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/// <returns></returns>
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private static bool Less<T>(T[] pq, int a, int b) where T : IComparable<T> => pq[a - 1].CompareTo(pq[b - 1]) < 0;
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/// <summary>
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/// 交换堆中的两个元素。
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/// </summary>
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/// <param name="pq">要交换的元素所在堆。</param>
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/// <param name="a">要交换的结点序号。</param>
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/// <param name="b">要交换的结点序号。</param>
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private static void Exch<T>(T[] pq, int a, int b)
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{
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T temp = pq[a - 1];
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pq[a - 1] = pq[b - 1];
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pq[b - 1] = temp;
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}
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}
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}

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