levenshtein_distance（字符串相似度算法）

# -*- coding: utf8 -*-
#字符串相似度算法
#!/usr/bin/env python
__author__ = 'Administrator'


def levenshtein(a,b):
    "Calculates the Levenshtein distance between a and b."
    n, m = len(a), len(b)
    if n > m:
        # Make sure n <= m, to use O(min(n,m)) space
        a,b = b,a
        n,m = m,n
    current = range(n+1)
    for i in range(1,m+1):
        previous, current = current, [i]+[0]*n
        for j in range(1,n+1):
            add, delete = previous[j]+1, current[j-1]+1
            change = previous[j-1]
            if a[j-1] != b[i-1]:
                change = change + 1
            current[j] = min(add, delete, change)
    return current[n]

def levenshtein_distance(first, second):
    """Find the Levenshtein distance between two strings."""
    if len(first) > len(second):
        first, second = second, first
    if len(second) == 0:
        return len(first)
    first_length = len(first) + 1
    second_length = len(second) + 1
    distance_matrix = [range(second_length) for x in range(first_length)]
    for i in range(1, first_length):
        for j in range(1, second_length):
            deletion = distance_matrix[i-1][j] + 1
            insertion = distance_matrix[i][j-1] + 1
            substitution = distance_matrix[i-1][j-1]
            if first[i-1] != second[j-1]:
                substitution += 1
            distance_matrix[i][j] = min(insertion, deletion, substitution)
    return distance_matrix[first_length-1][second_length-1]

levenshtein_distance（字符串相似度算法）：

           所謂levenshtein distance即將一個字符串轉換成另一個字符串所需要的最少修改次數，一般包括對字符的3種操作：1、刪除。2、修改。3、增加。

          如‘天通苑’和‘天通西苑’的度爲1，執行一次插入操作。