我将继续您的“将数字转换为字符串”方法。但是，如果您的ID是质数且大于52，您将意识到您提出的算法将失败。

理论背景

你需要一个双射函数f。这是必要的，这样你就可以为你的f(123) = 'abc'函数找到一个逆函数g('abc') = 123。这意味着:

一定不存在x1 x2 (x1≠x2)使得f(x1) = f(x2) 对于每一个y，你必须能找到一个x，使f(x) = y。

如何将ID转换为缩短的URL

Think of an alphabet we want to use. In your case, that's [a-zA-Z0-9]. It contains 62 letters. Take an auto-generated, unique numerical key (the auto-incremented id of a MySQL table for example). For this example, I will use 12510 (125 with a base of 10). Now you have to convert 12510 to X62 (base 62). 12510 = 2×621 + 1×620 = [2,1] This requires the use of integer division and modulo. A pseudo-code example: digits = [] while num > 0 remainder = modulo(num, 62) digits.push(remainder) num = divide(num, 62) digits = digits.reverse Now map the indices 2 and 1 to your alphabet. This is how your mapping (with an array for example) could look like: 0 → a 1 → b ... 25 → z ... 52 → 0 61 → 9 With 2 → c and 1 → b, you will receive cb62 as the shortened URL. http://shor.ty/cb

如何将缩短的URL解析为初始ID

反过来就更容易了。你只需要在字母表中反向查找。

E9a62将被解析为“字母表中的第4、61和0个字母”。 E9a62 = [4,61,0] = 4×622 + 61×621 + 0×620 = 1915810 现在找到WHERE id = 19158的数据库记录并执行重定向。

示例实现(由评论者提供)

c++ Python Ruby Haskell c# CoffeeScript Perl

我的Python 3版本

base_list = list("0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ")
base = len(base_list)

def encode(num: int):
    result = []
    if num == 0:
        result.append(base_list[0])

    while num > 0:
        result.append(base_list[num % base])
        num //= base

    print("".join(reversed(result)))

def decode(code: str):
    num = 0
    code_list = list(code)
    for index, code in enumerate(reversed(code_list)):
        num += base_list.index(code) * base ** index
    print(num)

if __name__ == '__main__':
    encode(341413134141)
    decode("60FoItT")

你是故意省略O 0和i的吗?

我刚刚基于Ryan的解决方案创建了一个PHP类。

<?php

    $shorty = new App_Shorty();

    echo 'ID: ' . 1000;
    echo '<br/> Short link: ' . $shorty->encode(1000);
    echo '<br/> Decoded Short Link: ' . $shorty->decode($shorty->encode(1000));


    /**
     * A nice shorting class based on Ryan Charmley's suggestion see the link on Stack Overflow below.
     * @author Svetoslav Marinov (Slavi) | http://WebWeb.ca
     * @see http://stackoverflow.com/questions/742013/how-to-code-a-url-shortener/10386945#10386945
     */
    class App_Shorty {
        /**
         * Explicitly omitted: i, o, 1, 0 because they are confusing. Also use only lowercase ... as
         * dictating this over the phone might be tough.
         * @var string
         */
        private $dictionary = "abcdfghjklmnpqrstvwxyz23456789";
        private $dictionary_array = array();

        public function __construct() {
            $this->dictionary_array = str_split($this->dictionary);
        }

        /**
         * Gets ID and converts it into a string.
         * @param int $id
         */
        public function encode($id) {
            $str_id = '';
            $base = count($this->dictionary_array);

            while ($id > 0) {
                $rem = $id % $base;
                $id = ($id - $rem) / $base;
                $str_id .= $this->dictionary_array[$rem];
            }

            return $str_id;
        }

        /**
         * Converts /abc into an integer ID
         * @param string
         * @return int $id
         */
        public function decode($str_id) {
            $id = 0;
            $id_ar = str_split($str_id);
            $base = count($this->dictionary_array);

            for ($i = count($id_ar); $i > 0; $i--) {
                $id += array_search($id_ar[$i - 1], $this->dictionary_array) * pow($base, $i - 1);
            }
            return $id;
        }
    }
?>

为什么不直接将id转换为字符串呢?您只需要一个函数将0到61之间的数字映射到单个字母(大写/小写)或数字。然后应用它来创建，比如说，4个字母的代码，你就有了1470万个url。

Scala中的实现:

class Encoder(alphabet: String) extends (Long => String) {

  val Base = alphabet.size

  override def apply(number: Long) = {
    def encode(current: Long): List[Int] = {
      if (current == 0) Nil
      else (current % Base).toInt :: encode(current / Base)
    }
    encode(number).reverse
      .map(current => alphabet.charAt(current)).mkString
  }
}

class Decoder(alphabet: String) extends (String => Long) {

  val Base = alphabet.size

  override def apply(string: String) = {
    def decode(current: Long, encodedPart: String): Long = {
      if (encodedPart.size == 0) current
      else decode(current * Base + alphabet.indexOf(encodedPart.head),encodedPart.tail)
    }
    decode(0,string)
  }
}

使用Scala测试的测试示例:

import org.scalatest.{FlatSpec, Matchers}

class DecoderAndEncoderTest extends FlatSpec with Matchers {

  val Alphabet = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789"

  "A number with base 10" should "be correctly encoded into base 62 string" in {
    val encoder = new Encoder(Alphabet)
    encoder(127) should be ("cd")
    encoder(543513414) should be ("KWGPy")
  }

  "A base 62 string" should "be correctly decoded into a number with base 10" in {
    val decoder = new Decoder(Alphabet)
    decoder("cd") should be (127)
    decoder("KWGPy") should be (543513414)
  }

}

为什么要使用哈希呢?

您只需将自动递增值简单地转换为字母数字值。你可以通过使用一些基数转换很容易做到这一点。假设您的字符空间(a-z, a-z, 0-9等)有62个字符，将id转换为以40为基数的数字并使用这些字符作为数字。