前言

算法在計算機科學和程序設計中扮演著至關重要的角色，如在解決問題、優化效率、決策優化、實現計算機程序、提高可靠性以及促進科學融合等方面具有廣泛而深遠的影響。今天大姚給大家分享一個開源、免費、全面的C#算法實戰教程：TheAlgorithms/C-Sharp。Wtc28資訊網——每日最新資訊28at.com

項目介紹

一個C#實現的各種算法集合，這些算法涵蓋了計算機科學、數學和統計學、數據科學、機器學習、工程等多個領域。這些實現及其相關文檔旨在為教育工作者和學生提供學習資源。因此，可能會找到針對同一目標使用不同算法策略和優化的多種實現。Wtc28資訊網——每日最新資訊28at.com

項目源代碼

圖片Wtc28資訊網——每日最新資訊28at.com

主要算法包括

• 排序算法：冒泡排序、插入排序、計數排序、快速排序等
• 搜索算法：線性搜索、二分搜索等
• 數值計算：最大公約數、二項式系數、牛頓的平方根計算、歐拉方法等
• 字符串算法：Rabin-Karp 算法、KMP 算法、Manacher 算法等
• 數據結構：鏈表 (Linked List)、棧 (Stack)、隊列 (Queue)、二叉樹 (Binary Tree)等
• 圖算法：深度優先搜索 (Depth-First Search)、廣度優先搜索 (Breadth-First Search)、Dijkstra 最短路徑等
• 等等......

插入排序

/// <summary>///     Class that implements insertion sort algorithm./// </summary>/// <typeparam name="T">Type of array element.</typeparam>public class InsertionSorter<T> : IComparisonSorter<T>{    /// <summary>    ///     Sorts array using specified comparer,    ///     internal, in-place, stable,    ///     time complexity: O(n^2),    ///     space complexity: O(1),    ///     where n - array length.    /// </summary>    /// <param name="array">Array to sort.</param>    /// <param name="comparer">Compares elements.</param>    public void Sort(T[] array, IComparer<T> comparer)    {        for (var i = 1; i < array.Length; i++)        {            for (var j = i; j > 0 && comparer.Compare(array[j], array[j - 1]) < 0; j--)            {                var temp = array[j - 1];                array[j - 1] = array[j];                array[j] = temp;            }        }    }}

快速排序

/// <summary>///     Sorts arrays using quicksort./// </summary>/// <typeparam name="T">Type of array element.</typeparam>public abstract class QuickSorter<T> : IComparisonSorter<T>{    /// <summary>    ///     Sorts array using Hoare partition scheme,    ///     internal, in-place,    ///     time complexity average: O(n log(n)),    ///     time complexity worst: O(n^2),    ///     space complexity: O(log(n)),    ///     where n - array length.    /// </summary>    /// <param name="array">Array to sort.</param>    /// <param name="comparer">Compares elements.</param>    public void Sort(T[] array, IComparer<T> comparer) => Sort(array, comparer, 0, array.Length - 1);    protected abstract T SelectPivot(T[] array, IComparer<T> comparer, int left, int right);    private void Sort(T[] array, IComparer<T> comparer, int left, int right)    {        if (left >= right)        {            return;        }        var p = Partition(array, comparer, left, right);        Sort(array, comparer, left, p);        Sort(array, comparer, p + 1, right);    }    private int Partition(T[] array, IComparer<T> comparer, int left, int right)    {        var pivot = SelectPivot(array, comparer, left, right);        var nleft = left;        var nright = right;        while (true)        {            while (comparer.Compare(array[nleft], pivot) < 0)            {                nleft++;            }            while (comparer.Compare(array[nright], pivot) > 0)            {                nright--;            }            if (nleft >= nright)            {                return nright;            }            var t = array[nleft];            array[nleft] = array[nright];            array[nright] = t;            nleft++;            nright--;        }    }}

線性搜索

/// <summary>///     Class that implements linear search algorithm./// </summary>/// <typeparam name="T">Type of array element.</typeparam>public class LinearSearcher<T>{    /// <summary>    ///     Finds first item in array that satisfies specified term    ///     Time complexity: O(n)    ///     Space complexity: O(1).    /// </summary>    /// <param name="data">Array to search in.</param>    /// <param name="term">Term to check against.</param>    /// <returns>First item that satisfies term.</returns>    public T Find(T[] data, Func<T, bool> term)    {        for (var i = 0; i < data.Length; i++)        {            if (term(data[i]))            {                return data[i];            }        }        throw new ItemNotFoundException();    }    /// <summary>    ///     Finds index of first item in array that satisfies specified term    ///     Time complexity: O(n)    ///     Space complexity: O(1).    /// </summary>    /// <param name="data">Array to search in.</param>    /// <param name="term">Term to check against.</param>    /// <returns>Index of first item that satisfies term or -1 if none found.</returns>    public int FindIndex(T[] data, Func<T, bool> term)    {        for (var i = 0; i < data.Length; i++)        {            if (term(data[i]))            {                return i;            }        }        return -1;    }}

項目源碼地址

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