C#通过编辑距离算法实现字符串相似度比较

C#通过编辑距离算法实现字符串相似度比较
编辑距离：通过插入、删除、替换一个字符(和交换相邻字符)的操作，使得字符串A和字符串B相同，而最少的操作次数就是编辑距离。
如字符串abcd和aca的距离是2

public class LevenshteinDistance
    {
 
        private static LevenshteinDistance _instance=null;
        public static LevenshteinDistance Instance
        {
            get
            {
                if (_instance == null)
                {
                    return new LevenshteinDistance();
                }
                return _instance;
            }
        }
     
 
        /// <summary>
        /// 取最小的一位数
        /// </summary>
        /// <param name="first"></param>
        /// <param name="second"></param>
        /// <param name="third"></param>
        /// <returns></returns>
        public int LowerOfThree(int first, int second, int third)
        {
            int min = first;
            if (second < min)
                min = second;
            if (third < min)
                min = third;
            return min;
        }
 
        public int Levenshtein_Distance(string str1, string str2)
        {
            int[,] Matrix;
            int n=str1.Length;
            int m=str2.Length;
 
            int temp = 0;
            char ch1;
            char ch2;
            int i = 0;
            int j = 0;
            if (n ==0)
            {
                return m;
            }
            if (m == 0)
            {
 
                return n;
            }
            Matrix=new int[n+1,m+1];
 
            for (i = 0; i <= n; i++)
            {
                //初始化第一列
                Matrix[i,0] = i;
            }
 
            for (j = 0; j <= m; j++)
            {
                //初始化第一行
                Matrix[0, j] = j;
            }
 
            for (i = 1; i <= n; i++)
            {
                ch1 = str1[i-1];
                for (j = 1; j <= m; j++)
                {
                    ch2 = str2[j-1];
                    if (ch1.Equals(ch2))
                    {
                        temp = 0;
                    }
                    else
                    {
                        temp = 1;
                    }
                    Matrix[i,j] = LowerOfThree(Matrix[i - 1,j] + 1, Matrix[i,j - 1] + 1, Matrix[i - 1,j - 1] + temp);
 
 
                }
            }
 
            for (i = 0; i <= n; i++)
            {
                for (j = 0; j <= m; j++)
                {
                    Console.Write(" {0} ", Matrix[i, j]);
                }
                Console.WriteLine("");
            }
            return Matrix[n, m];
 
        }
 
        /// <summary>
        /// 计算字符串相似度
        /// </summary>
        /// <param name="str1"></param>
        /// <param name="str2"></param>
        /// <returns></returns>
        public decimal LevenshteinDistancePercent(string str1,string str2)
        {
            int maxLenth = str1.Length > str2.Length ? str1.Length : str2.Length;
            int val = Levenshtein_Distance(str1, str2);
            return 1 - (decimal)val / maxLenth;
        }
    }
 
    class Program
    {
 
 
        static void Main(string[] args)
        {
            string str1 = "你好蒂蒂";
            string str2="你好蒂芬";
            Console.WriteLine("字符串1 {0}", str1);
 
            Console.WriteLine("字符串2 {0}", str2);
 
            Console.WriteLine("相似度 {0} %", LevenshteinDistance.Instance.LevenshteinDistancePercent(str1, str2)*100);
            Console.ReadLine();
        }
    }

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