非常好的回答，我已经创建了一个bjf的Golang实现:

package bjf

import (
    "math"
    "strings"
    "strconv"
)

const alphabet = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789"

func Encode(num string) string {
    n, _ := strconv.ParseUint(num, 10, 64)
    t := make([]byte, 0)

    /* Special case */
    if n == 0 {
        return string(alphabet[0])
    }

    /* Map */
    for n > 0 {
        r := n % uint64(len(alphabet))
        t = append(t, alphabet[r])
        n = n / uint64(len(alphabet))
    }

    /* Reverse */
    for i, j := 0, len(t) - 1; i < j; i, j = i + 1, j - 1 {
        t[i], t[j] = t[j], t[i]
    }

    return string(t)
}

func Decode(token string) int {
    r := int(0)
    p := float64(len(token)) - 1

    for i := 0; i < len(token); i++ {
        r += strings.Index(alphabet, string(token[i])) * int(math.Pow(float64(len(alphabet)), p))
        p--
    }

    return r
}

托管在github: https://github.com/xor-gate/go-bjf

我不断增加数据库中每个域的整数序列，并使用Hashids将整数编码为URL路径。

static hashids = Hashids(salt = "my app rocks", minSize = 6)

我运行了一个脚本，看看它需要多长时间才能耗尽字符长度。对于6个字符，它可以做164,916,224个链接，然后增加到7个字符。Bitly使用7个字符。在我看来，不到五个字很奇怪。

哈希id可以将URL路径解码为整数，但更简单的解决方案是使用整个短链接sho。Rt /ka8ds3作为主键。

以下是完整的概念:

function addDomain(domain) {
    table("domains").insert("domain", domain, "seq", 0)
}

function addURL(domain, longURL) {
    seq = table("domains").where("domain = ?", domain).increment("seq")
    shortURL = domain + "/" + hashids.encode(seq)
    table("links").insert("short", shortURL, "long", longURL)
    return shortURL
}

// GET /:hashcode
function handleRequest(req, res) {
    shortURL = req.host + "/" + req.param("hashcode")
    longURL = table("links").where("short = ?", shortURL).get("long")
    res.redirect(301, longURL)
}

您可以散列整个URL，但如果您只想缩短id，请按照marcel的建议进行。我写了这个Python实现:

https://gist.github.com/778542

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)
  }

}

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

我有一个问题的变体，因为我存储了来自许多不同作者的网页，需要防止通过猜测发现页面。所以我的短url在Base-62字符串中添加了几个额外的数字作为页码。这些额外的数字是由页面记录本身的信息生成的，它们确保3844个url中只有一个是有效的(假设2位Base-62)。您可以在http://mgscan.com/MBWL上看到概要描述。