?
?
More is Less - the 'math'
The alphabet has 26 characters. That's a lot more than 10 digits. If we also distinguish upper- and lowercase, and add digits to the bunch or the heck of it, we already have (26 x 2 + 10)?62 options?we can use?per position?in the ID.
Now of course we can also add additional funny characters to 'the bunch' like - / * & # but those may cause problems in URLs and that's our target audience for now.
OK so because there are roughly?6x more characters?we will use per position, IDs will get much?shorter. We can just fit a lot?more data in each position.
This is basically what url shortening services do like tinyurl, is.gd, or bit.ly. But similar IDs can also be found at youtube:?http://www.youtube.com/watch?v=yzNjIBEdyww
Convert your IDs
Now unlike Database servers: webservers are easy to scale so you can let them do a bit of converting to ease the life of your users, while keeping your database fast with numbers (MySQL really likes them plain numbers ; ).
To do the conversion I've written a PHP function that can translate big numbers to short strings and vice versa. I call it: alphaID.
The resulting string is not hard to decipher, but it can be a very nice feature to make URLs or directorie structures more compact and significant.
So basically:
- when someone requests rLHWfKd
- alphaID() converts it to 999999999999
- you lookup the record for id 999999999999 in your database
?
?
Source
<?php
/**
* Translates a number to a short alhanumeric version
*
* Translated any number up to 9007199254740992
* to a shorter version in letters e.g.:
* 9007199254740989 --> PpQXn7COf
*
* specifiying the second argument true, it will
* translate back e.g.:
* PpQXn7COf --> 9007199254740989
*
* this function is based on any2dec && dec2any by
* fragmer[at]mail[dot]ru
* see: http://nl3.php.net/manual/en/function.base-convert.php#52450
*
* If you want the alphaID to be at least 3 letter long, use the
* $pad_up = 3 argument
*
* In most cases this is better than totally random ID generators
* because this can easily avoid duplicate ID's.
* For example if you correlate the alpha ID to an auto incrementing ID
* in your database, you're done.
*
* The reverse is done because it makes it slightly more cryptic,
* but it also makes it easier to spread lots of IDs in different
* directories on your filesystem. Example:
* $part1 = substr($alpha_id,0,1);
* $part2 = substr($alpha_id,1,1);
* $part3 = substr($alpha_id,2,strlen($alpha_id));
* $destindir = "/".$part1."/".$part2."/".$part3;
* // by reversing, directories are more evenly spread out. The
* // first 26 directories already occupy 26 main levels
*
* more info on limitation:
* - http://blade.nagaokaut.ac.jp/cgi-bin/scat.rb/ruby/ruby-talk/165372
*
* if you really need this for bigger numbers you probably have to look
* at things like: http://theserverpages.com/php/manual/en/ref.bc.php
* or: http://theserverpages.com/php/manual/en/ref.gmp.php
* but I haven't really dugg into this. If you have more info on those
* matters feel free to leave a comment.
*
* The following code block can be utilized by PEAR's Testing_DocTest
* <code>
* // Input //
* $number_in = 2188847690240;
* $alpha_in = "SpQXn7Cb";
*
* // Execute //
* $alpha_out = alphaID($number_in, false, 8);
* $number_out = alphaID($alpha_in, true, 8);
*
* if ($number_in != $number_out) {
* echo "Conversion failure, ".$alpha_in." returns ".$number_out." instead of the ";
* echo "desired: ".$number_in."\n";
* }
* if ($alpha_in != $alpha_out) {
* echo "Conversion failure, ".$number_in." returns ".$alpha_out." instead of the ";
* echo "desired: ".$alpha_in."\n";
* }
*
* // Show //
* echo $number_out." => ".$alpha_out."\n";
* echo $alpha_in." => ".$number_out."\n";
* echo alphaID(238328, false)." => ".alphaID(alphaID(238328, false), true)."\n";
*
* // expects:
* // 2188847690240 => SpQXn7Cb
* // SpQXn7Cb => 2188847690240
* // aaab => 238328
*
* </code>
*
* @author Kevin van Zonneveld <kevin@vanzonneveld.net>
* @author Simon Franz
* @author Deadfish
* @copyright 2008 Kevin van Zonneveld (http://kevin.vanzonneveld.net)
* @license http://www.opensource.org/licenses/bsd-license.php New BSD Licence
* @version SVN: Release: $Id: alphaID.inc.php 344 2009-06-10 17:43:59Z kevin $
* @link http://kevin.vanzonneveld.net/
*
* @param mixed $in String or long input to translate
* @param boolean $to_num Reverses translation when true
* @param mixed $pad_up Number or boolean padds the result up to a specified length
* @param string $passKey Supplying a password makes it harder to calculate the original ID
*
* @return mixed string or long
*/
function alphaID($in, $to_num = false, $pad_up = false, $passKey = null)
{
$index = "abcdefghijklmnopqrstuvwxyz0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
if ($passKey !== null) {
// Although this function's purpose is to just make the
// ID short - and not so much secure,
// with this patch by Simon Franz (http://blog.snaky.org/)
// you can optionally supply a password to make it harder
// to calculate the corresponding numeric ID
for ($n = 0; $n<strlen($index); $n++) $i[] = substr( $index,$n ,1);
$passhash = hash('sha256',$passKey);
$passhash = (strlen($passhash) < strlen($index))
? hash('sha512',$passKey)
: $passhash;
for ($n=0; $n < strlen($index); $n++) $p[] = substr($passhash, $n ,1);
array_multisort($p, SORT_DESC, $i);
$index = implode($i);
}
$base = strlen($index);
if ($to_num) {
// Digital number <<-- alphabet letter code
$in = strrev($in);
$out = 0;
$len = strlen($in) - 1;
for ($t = 0; $t <= $len; $t++) {
$bcpow = bcpow($base, $len - $t);
$out = $out + strpos($index, substr($in, $t, 1)) * $bcpow;
}
if (is_numeric($pad_up)) {
$pad_up--;
if ($pad_up > 0) $out -= pow($base, $pad_up);
}
$out = sprintf('%F', $out);
$out = substr($out, 0, strpos($out, '.'));
}
else
{
// Digital number -->> alphabet letter code
if (is_numeric($pad_up)) {
$pad_up--;
if ($pad_up > 0) $in += pow($base, $pad_up);
}
$out = "";
for ($t = floor(log($in, $base)); $t >= 0; $t--) {
$bcp = bcpow($base, $t);
$a = floor($in / $bcp) % $base;
$out = $out . substr($index, $a, 1);
$in = $in - ($a * $bcp);
}
$out = strrev($out); // reverse
}
return $out;
}
?
Example
Running:
alphaID(9007199254740989);
will return 'PpQXn7COf' and:
alphaID('PpQXn7COf', true);
will return '9007199254740989'
Easy right?
More features
- There also is an optional third argument:?
$pad_up. This enables you to make the resulting alphaId at least?X?characters long. - You can support even more characters (making the resulting alphaID even smaller) by adding characters to the?
$index?var at the top of the function body.
?
?
?
JavaScript Implementation
Thanks to Even Simon, there's a JavaScript implementation. You will also find PHP version there, that implements the encode & decode functions as separate methods in a class.
<script>
/**
* Javascript AlphabeticID class
* (based on a script by Kevin van Zonneveld <kevin@vanzonneveld.net>)
*
* Author: Even Simon <even.simon@gmail.com>
*
* Description: Translates a numeric identifier into a short string and backwords.
*
* Usage:
* var str = AlphabeticID.encode(9007199254740989); // str = 'fE2XnNGpF'
* var id = AlphabeticID.decode('fE2XnNGpF'); // id = 9007199254740989;
**/
var AlphabeticID = {
index:'abcdefghijklmnopqrstuvwxyz0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ',
/**
* <a href="http://twitter.com/function">@function</a> AlphabeticID.encode
* <a href="http://twitter.com/description">@description</a> Encode a number into short string
* <a href="http://twitter.com/param">@param</a> integer
* <a href="http://twitter.com/return">@return</a> string
**/
encode:function(_number){
if('undefined' == typeof _number){
return null;
}
else if('number' != typeof(_number)){
throw new Error('Wrong parameter type');
}
var ret = '';
for(var i=Math.floor(Math.log(parseInt(_number))/Math.log(AlphabeticID.index.length));i>=0;i--){
ret = ret + AlphabeticID.index.substr((Math.floor(parseInt(_number) / AlphabeticID.bcpow(AlphabeticID.index.length, i)) % AlphabeticID.index.length),1);
}
return ret.reverse();
},
/**
* <a href="http://twitter.com/function">@function</a> AlphabeticID.decode
* <a href="http://twitter.com/description">@description</a> Decode a short string and return number
* <a href="http://twitter.com/param">@param</a> string
* <a href="http://twitter.com/return">@return</a> integer
**/
decode:function(_string){
if('undefined' == typeof _string){
return null;
}
else if('string' != typeof _string){
throw new Error('Wrong parameter type');
}
var str = _string.reverse();
var ret = 0;
for(var i=0;i<=(str.length - 1);i++){
ret = ret + AlphabeticID.index.indexOf(str.substr(i,1)) * (AlphabeticID.bcpow(AlphabeticID.index.length, (str.length - 1) - i));
}
return ret;
},
/**
* <a href="http://twitter.com/function">@function</a> AlphabeticID.bcpow
* <a href="http://twitter.com/description">@description</a> Raise _a to the power _b
* <a href="http://twitter.com/param">@param</a> float _a
* <a href="http://twitter.com/param">@param</a> integer _b
* <a href="http://twitter.com/return">@return</a> string
**/
bcpow:function(_a, _b){
return Math.floor(Math.pow(parseFloat(_a), parseInt(_b)));
}
};
/**
* <a href="http://twitter.com/function">@function</a> String.reverse
* <a href="http://twitter.com/description">@description</a> Reverse a string
* <a href="http://twitter.com/return">@return</a> string
**/
String.prototype.reverse = function(){
return this.split('').reverse().join('');
};
</script>
?
?
Python Implementation
Thanks to?wessite, there's a Python implementation.
?
ALPHABET = "bcdfghjklmnpqrstvwxyz0123456789BCDFGHJKLMNPQRSTVWXYZ"
BASE = len(ALPHABET)
MAXLEN = 6
def encode_id(self, n):
pad = self.MAXLEN - 1
n = int(n + pow(self.BASE, pad))
s = []
t = int(math.log(n, self.BASE))
while True:
bcp = int(pow(self.BASE, t))
a = int(n / bcp) % self.BASE
s.append(self.ALPHABET[a:a+1])
n = n - (a * bcp)
t -= 1
if t < 0: break
return "".join(reversed(s))
def decode_id(self, n):
n = "".join(reversed(n))
s = 0
l = len(n) - 1
t = 0
while True:
bcpow = int(pow(self.BASE, l - t))
s = s + self.ALPHABET.index(n[t:t+1]) * bcpow
t += 1
if t > l: break
pad = self.MAXLEN - 1
s = int(s - pow(self.BASE, pad))
return int(s)
?
Python Implementation
Thanks to?Andy Li, there's a HaXe implementation.
?/**
* HaXe version of AlphabeticID
* Author: Andy Li <andy@onthewings.net>
* ported from...
*
* Javascript AlphabeticID class
* Author: Even Simon <even.simon@gmail.com>
* which is based on a script by Kevin van Zonneveld <kevin@vanzonneveld.net>)
*
* Description: Translates a numeric identifier into a short string and backwords.
* http://kevin.vanzonneveld.net/techblog/article/create_short_ids_with_php_like_youtube_or_tinyurl/
**/
class AlphaID {
static public var index:String = 'abcdefghijklmnopqrstuvwxyz0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ';
static public function encode(_number:Int):String {
var strBuf = new StringBuf();
var i = 0;
var end = Math.floor(Math.log(_number)/Math.log(index.length));
while(i <= end) {
strBuf.add(index.charAt((Math.floor(_number / bcpow(index.length, i++)) % index.length)));
}
return strBuf.toString();
}
static public function decode(_string:String):Int {
var str = reverseString(_string);
var ret = 0;
var i = 0;
var end = str.length - 1;
while(i <= end) {
ret += Std.int(index.indexOf(str.charAt(i)) * (bcpow(index.length, end-i)));
++i;
}
return ret;
}
inline static private function bcpow(_a:Float, _b:Float):Float {
return Math.floor(Math.pow(_a, _b));
}
inline static private function reverseString(inStr:String):String {
var ary = inStr.split("");
ary.reverse();
return ary.join("");
}
}
?
?来源： http://kevin.vanzonneveld.net/techblog/article/create_short_ids_with_php_like_youtube_or_tinyurl/
?
?