前言

算法在計(jì)算機(jī)科學(xué)和程序設(shè)計(jì)中扮演著至關(guān)重要的角色，如在解決問題、優(yōu)化效率、決策優(yōu)化、實(shí)現(xiàn)計(jì)算機(jī)程序、提高可靠性以及促進(jìn)科學(xué)融合等方面具有廣泛而深遠(yuǎn)的影響。今天大姚給大家分享一個(gè)開源、免費(fèi)、全面的C#算法實(shí)戰(zhàn)教程：TheAlgorithms/C-Sharp。SPs28資訊網(wǎng)——每日最新資訊28at.com

項(xiàng)目介紹

一個(gè)C#實(shí)現(xiàn)的各種算法集合，這些算法涵蓋了計(jì)算機(jī)科學(xué)、數(shù)學(xué)和統(tǒng)計(jì)學(xué)、數(shù)據(jù)科學(xué)、機(jī)器學(xué)習(xí)、工程等多個(gè)領(lǐng)域。這些實(shí)現(xiàn)及其相關(guān)文檔旨在為教育工作者和學(xué)生提供學(xué)習(xí)資源。因此，可能會(huì)找到針對(duì)同一目標(biāo)使用不同算法策略和優(yōu)化的多種實(shí)現(xiàn)。SPs28資訊網(wǎng)——每日最新資訊28at.com

項(xiàng)目源代碼

圖片SPs28資訊網(wǎng)——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(jì)數(shù)排序、快速排序等
• 搜索算法：線性搜索、二分搜索等
• 數(shù)值計(jì)算：最大公約數(shù)、二項(xiàng)式系數(shù)、牛頓的平方根計(jì)算、歐拉方法等
• 字符串算法：Rabin-Karp 算法、KMP 算法、Manacher 算法等
• 數(shù)據(jù)結(jié)構(gòu)：鏈表 (Linked List)、棧 (Stack)、隊(duì)列 (Queue)、二叉樹 (Binary Tree)等
• 圖算法：深度優(yōu)先搜索 (Depth-First Search)、廣度優(yōu)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(xiàng)目源碼地址

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