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  • rand()

    (PHP 4, PHP 5, PHP 7)

    产生一个随机整数

    说明

    rand(void): int
    rand(int $min,int $max): int

    如果没有提供可选参数$min$maxrand()返回 0 到getrandmax()之间的伪随机整数。例如想要 5 到 15(包括 5 和 15)之间的随机数,用rand(5, 15)

    Note:在某些平台下(例如 Windows)getrandmax()只有 32767。如果需要的范围大于 32767,那么指定$min$max参数就可以生成更大的数了,或者考虑用mt_rand()来替代之。

    参数

    $min

    返回的最低值(默认:0)

    $max

    返回的最高值(默认:getrandmax())

    返回值

    A pseudo random value between$min(or 0)and$max(orgetrandmax(), inclusive).

    更新日志

    版本说明
    4.2.0随机数发生器自动进行播种。

    范例

    Example #1rand()例子

    <?php
    echo rand() . "\n";
    echo rand() . "\n";
    echo rand(5, 15);
    ?>
    

    以上例程的输出类似于:

    7771
    22264
    11
    

    参见

    quick way to generate randomish numbers and simple strings.
    no messing around with functions, so you can just pop the line into the middle of your existing code.
    not the most perfect for sure, but ok for plenty of situations...
    <?php
    $random_number = intval( "0" . rand(1,9) . rand(0,9) . rand(0,9) . rand(0,9) . rand(0,9) ); // random(ish) 5 digit int
    $random_string = chr(rand(65,90)) . chr(rand(65,90)) . chr(rand(65,90)) . chr(rand(65,90)) . chr(rand(65,90)); // random(ish) 5 character string
    ?>
    hope someone finds it useful for somthing.
    regards,
    deeeeeen alxndr0u
    I also enjoy making one-liners.
    Here's a non-regular expression approach. It generates a random 32 character string consisting of, by default, only A-Z, a-z, and 0-9, but you can change the value of $a for other characters. The random string will be in variable $s after this line.
    <?php
    for ($s = '', $i = 0, $z = strlen($a = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789')-1; $i != 32; $x = rand(0,$z), $s .= $a{$x}, $i++);
    ?>
    If you don't want the same character to appear beside itself, use this:
    <?php
    for ($i = 0, $z = strlen($a = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz1234567890')-1, $s = $a{rand(0,$z)}, $i = 1; $i != 32; $x = rand(0,$z), $s .= $a{$x}, $s = ($s{$i} == $s{$i-1} ? substr($s,0,-1) : $s), $i=strlen($s));
    ?>
    For those of you who want both as a function, use this:
    <?php
    function rand_chars($c, $l, $u = FALSE) {
     if (!$u) for ($s = '', $i = 0, $z = strlen($c)-1; $i < $l; $x = rand(0,$z), $s .= $c{$x}, $i++);
     else for ($i = 0, $z = strlen($c)-1, $s = $c{rand(0,$z)}, $i = 1; $i != $l; $x = rand(0,$z), $s .= $c{$x}, $s = ($s{$i} == $s{$i-1} ? substr($s,0,-1) : $s), $i=strlen($s));
     return $s;
    }
    ?>
    string $c is the string of characters to use.
    integer $l is how long you want the string to be.
    boolean $u is whether or not a character can appear beside itself.
    Examples:
    rand_chars("ABCEDFG", 10) == GABGFFGCDA
    rand_chars("ABCEDFG", 10, TRUE) == CBGFAEDFEC
    Here's an interesting note about the inferiority of the rand() function. Try, for example, the following code...
    <?php
    $r = array(0,0,0,0,0,0,0,0,0,0,0);
    for ($i=0;$i<1000000;$i++) {
     $n = rand(0,100000);
     if ($n<=10) {
      $r[$n]++;
     }
    }
    print_r($r); 
    ?>
    which produces something similar to the following output (on my windows box, where RAND_MAX is 32768):
    Array
    (
      [0] => 31
      [1] => 0
      [2] => 0
      [3] => 31
      [4] => 0
      [5] => 0
      [6] => 30
      [7] => 0
      [8] => 0
      [9] => 31
      [10] => 0
    )
    Within this range only multiples of 3 are being selected. Also note that values that are filled are always 30 or 31 (no other values! really!) 
    Now replace rand() with mt_rand() and see the difference...
    Array
    (
      [0] => 8
      [1] => 8
      [2] => 14
      [3] => 16
      [4] => 9
      [5] => 11
      [6] => 8
      [7] => 9
      [8] => 7
      [9] => 7
      [10] => 9
    )
    Much more randomly distributed!
    Conclusion: mt_rand() is not just faster, it is a far superior algorithm.
    Since many people (myself included) come to this page looking for a way to do a random string, I present a way that uses arrays and shuffle() instead of rand(). This also has the effect of not repeating any characters in the value set.
      $arr = str_split('ABCDEFGHIJKLMNOP'); // get all the characters into an array
      shuffle($arr); // randomize the array
      $arr = array_slice($arr, 0, 6); // get the first six (random) characters out
      $str = implode('', $arr); // smush them back into a string
    A small comment on phpdev-dunnbypauls conclusion that rand() only generates numbers that are a multiply of 3. 
    <?php
    $n = rand(0,100000); // with MAX_RAND=32768
    ?>
    Since, 100000/32768=3.05 you get multiples of 3. The random integer will be multiplied by 3.05 to fit between 0 and 100000. rand() works fine, if you don't ask for bigger numbers then RAND_MAX.
    If you are looking for generate a random expression, like password with alphanumeric or any other character, use this function:
    <?php
    function GeraHash($qtd){
    //Under the string $Caracteres you write all the characters you want to be used to randomly generate the code.
    $Caracteres = 'ABCDEFGHIJKLMOPQRSTUVXWYZ0123456789';
    $QuantidadeCaracteres = strlen($Caracteres);
    $QuantidadeCaracteres--;
    $Hash=NULL;
      for($x=1;$x<=$qtd;$x++){
        $Posicao = rand(0,$QuantidadeCaracteres);
        $Hash .= substr($Caracteres,$Posicao,1);
      }
    return $Hash;
    }
    //Here you specify how many characters the returning string must have
    echo GeraHash(30);
    ?>
    
    I agree with Sebmil (http://php.net/manual/en/function.array-rand.php#105265) that "array_rand()" produces weird and very uneven random distribution (as of my local PHP 5.3.8 and my public host's PHP 5.2.17).
    Unfortunately, I haven't got any access either to a server with the latest PHP version. My info is for those of you who like to check things for themselves and who don't believe all of the official statements in the docs.
    I've made a simple adjustment of his test code like this:
    <?php 
    $s=1;  // Start value
    $c=50;  // Count / End value
    $test=array_fill($s, $c, 0);
    $ts=microtime(true);
    for($i=0; $i<5000000; $i++){
      $idx=mt_rand($s, $c);  // Try it with rand() - simpler but more evenly distributed than mt_rand()
      $test[$idx]++;
    }
    $te=microtime(true);
    $te=($te-$ts)*1000.0;  // Loop time in miliseconds
    asort($test);
    echo "Test mt_rand() in ".$te." ms: <br/>\n";
    foreach($test as $k=>$v) echo "$k :\t$v <br/>\n";
    ?>
    And it appears to me that simple "$idx=rand(0, count($test)-1);" is much better than "$idx=array_rand($test, 1);".
    And what's more the simpler and a bit slower (0 ms up to total 712.357 ms at 5 mln cycles) "rand()" is better than "mt_rand()" in simple everyday use cases because it is more evenly distributed (difference least vs. most often numbers: ca. 0.20-1.28 % for "rand()" vs. ca. 1.43-1.68 % for "mt_rand()").
    Try it for yourself... although it depends on your software and hardware configuration, range of numbers to choose from (due to random patterns), number of cycles in the loop, and temporary (public) server load as well.
    Generate a random 5 character A-Z0-9 string
    <?php
    for ($i=0; $i<6; $i++) { 
      $d=rand(1,30)%2; 
      echo $d ? chr(rand(65,90)) : chr(rand(48,57)); 
    }
    ?>
    # php -r 'for ($i=0; $i<6; $i++) { $d=rand(1,30)%2; echo $d ? chr(rand(65,90)) : chr(rand(48,57)); } echo "\n";'
    14BW1A
    From PHP 7.1 rand() is documented as an alias of mt_rand().
    Actually, if they are called with two arguments where the second is smaller than the first, their output differs.
    For example
    var_dump(rand(2,1), mt_rand(2,1));
    may return
    Warning: mt_rand(): max(1) is smaller than min(2)
    int(2)
    bool(false)
    where rand() will return a random value between $max and $min
    Random integers with normal distribution, 
    it's not scientifically approved, but worked for me.
    <?php
    /*
    * @param float $mean, desired average
    * @param number $sd, number of items in array
    * @param number $min, minimum desired random number
    * @param number $max, maximum desired random number
    * @return array
    */
    function array_distribute($mean,$sd,$min,$max){
      $result = array();
      $total_mean = intval($mean*$sd);
      while($sd>1){
        $allowed_max = $total_mean - $sd - $min;
        $allowed_min = intval($total_mean/$sd);
        $random = mt_rand(max($min,$allowed_min),min($max,$allowed_max));
        $result[]=$random;
        $sd--;
        $total_mean-=$random;
      }
      $result[] = $total_mean;
      return $result;
    }
    ?>
    
    Here's a simple function to generate a random date between a start date and an end date. 
    It is inclusive of BOTH dates - so using dates 2009-04-01 and 2009-04-03 would generate a random date that could be 2009-04-01, 2009-04-02 or 2009-04-03.
    It won't work if the end date is prior to the start date and if you use a non-existant date (eg 2009-02-30) it defaults to 1970-01-01
    the longer version:
    <?php
    function makeRandomDateInclusive($startDate,$endDate){
      $days = round((strtotime($endDate) - strtotime($startDate)) / (60 * 60 * 24));
      $n = rand(0,$days);
      return date("Y-m-d",strtotime("$startDate + $n days"));  
    }
    ?>
    and the one-line version for compactness freaks:
    <?php
    function makeRandomDateInclusive($startDate,$endDate){  
      return date("Y-m-d",strtotime("$startDate + ".rand(0,round((strtotime($endDate) - strtotime($startDate)) / (60 * 60 * 24)))." days"));
    }
    ?>
    it is called like this 
    <?php
    echo makeRandomDateInclusive('2009-04-01','2009-04-03');
    ?>
    Hope this is of some use to someone
    Another one-liner to generate strings:
    <?php
    substr(str_shuffle(str_repeat('ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789',5)),0,5);
    ?>
    The strings can be repeated to have the possibility that a character appears multiple times.
    As an further optimization on janoserki[at]gmail[dot]com previous post i would recommend that you optimize you first part of php/sql code to something like this.
    <?php
    // estimate the number of rows in a table
    $lekerdezes = mysql_query("select count(*) as rows from table");
    while ($row = mysql_fetch_assoc($lekerdezes))
    {
      $max = $row["rows"];
    }
    ?>
    the count(*) is much faster for the database than grabbing the hole dataset from the table.
    Easy way for mysql: random row
    the original form is: "... order by rand()"
    but this is not the best way, because it's very slow by a big database (it can take more minutes to complete the request!)
    My suggestion:
    <?php
    // estimate the number of rows in a table
    $lekerdezes = mysql_query("select * from table");
    $max = mysql_num_rows($lekerdezes);
    // pick one
    $rand = rand(1,$max);
    $lekerdezes2 = mysql_query("select * from table limit $rand, 1");
    // that's all folks :)
    ?>
    
    Generate a random 5 character alpha string:
    <?php
    print preg_replace('/([ ])/e', 'chr(rand(97,122))', '   ');
    ?>
    
    emad_ramahi at hotmail dot com:
    I've actually noticed that with a large dataset (100k rows), the query dramatically slows down the server and performance is way too bad.
    The way I see it, you have to workable solutions:
    Using PHP:
    <?php
    //$Table holds the name of the table we're getting the random row from
    //$Rows specifies how many rows we need to fetch 
    function mysql_rand ($Query, $Rows = 1) {
      //getting the table name from $query
      //what you can do, is replace the $query argument with $table,
      //this way to dont have to search for the table's name
      $SQL = sprintf ('SELECT COUNT(*) FROM %s', substr ($query, stripos ($query, 'from')+5, strpos ($query, ' ')));
      
      $Max = mysql_result (mysql_query ($SQL), 0);
      $Random = rand (0, $Max);
      
      //If the random number is 99, and the database only has 100 rows
      //We'll subtract the random number, so we don't exceed 100, thus preventing a MySQL error message
      return $Query . sprintf ('LIMIT %d, %d', ($Max < $Rows) ? 0 : (($Random > $Max - $Rows) ? $Max - $Rows : $Random), $Rows);
    }
    //Instead of using MySQL's RAND(), we use LIMIT to fetch rows
    //E.g. LIMIT 5,9 fetches from row 5, and the subsequent 9
    $SQL = mysql_rand ('SELECT row FROM table'); //SELECT row FROM table LIMIT x, y
    ?>
    or SQL:
    SELECT * FROM Table T JOIN (SELECT FLOOR(MAX(ID)*RAND()) AS ID FROM Table) AS x ON T.ID >= x.ID LIMIT 1;
    Note that the automatic seeding seems to be done with the current number of seconds which means you can get the same results for several runs on a fast server. Either call srand() yourself with a more frequently changing seed or use mt_rand() which doesn't appear to suffer from the problem.
    isn't this just a simpler way of making a random id for somthing? I mean i know that there is a very slight chance that a duplicate could be made but its a very, very, very small chance, nearly impossible.
    $rand = mt_rand(0, 32);
    $code = md5($rand . time());
    echo "$code";
    and if you don't want it the md5 can be removed, I've just added it as a prefer it there :)
    Jon
    frank, nick at nerdynick dot com, and kniht
    this is now O(n) instead of O(n^2) ish...
    <?php
    function rand_permute($size, $min, $max)
    {
      $retval = array();
      //initialize an array of integers from $min to $max
      for($i = $min;$i <= $max;$i++)
      {
        $retval[$i] = $i;
      }
      //start with the the first index ($min).
      //randomly swap this number with any other number in the array.
      //this way we guarantee all numbers are permuted in the array,
      //and we assure no number is used more than once (technically reiterating prev line).
      //therefore we don't have to do the random checking each time we put something into the array.
      for($i=$min; $i < $size; $i++)
      {
        $tmp = $retval[$i];
        $retval[$i] = $retval[$tmpkey = rand($min, $max)];
        $retval[$tmpkey] = $tmp;
      }
      return array_slice($retval, 0, $size);
    }
    ?>
    
    Don't forget, it's faster to use bitwise operations when you need a random number that's less than some power of two. For example,
    <?php
    rand()&1;
    // instead of
    rand(0,1);
    // for generating 0 or 1,
    rand()&3;
    // instead of
    rand(0,3);
    // for generating 0, 1, 2, or 3,
    rand()&7;
    // instead of
    rand(0,7)
    // for generating 0, 1, 2, 3, 4, 5, 6, or 7,
    ?>
    and so on. All you're doing there is generating a default random number (so PHP doesn't have to parse any arguments) and chopping off the piece that's useful to you (using a bitwise operation which is faster than even basic math).
    I couldn't find a suitable random alpha-numeric generator function so I rolled my own. It gives a random number in base 36 (0-9, a-z) to a given length.
    <?php
    function randomAlphaNum($length){
      $rangeMin = pow(36, $length-1); //smallest number to give length digits in base 36
      $rangeMax = pow(36, $length)-1; //largest number to give length digits in base 36
      $base10Rand = mt_rand($rangeMin, $rangeMax); //get the random number
      $newRand = base_convert($base10Rand, 10, 36); //convert it
      
      return $newRand; //spit it out
    }
    ?>
    hopefully helps someone
    I wrote this many years back and just found it. thought I share. what it does is generate either random numbers 0-9, Alphabets A-Z or Alphanumeric which is a combination of numbers and alphabets. I turned it into a class before sharing. do with it what you please. Solved some of my problems. 
    <?php
    class Random{
     public static function Numeric($length)
       {
         $chars = "1234567890";
         $clen  = strlen( $chars )-1;
         $id = '';
         for ($i = 0; $i < $length; $i++) {
             $id .= $chars[mt_rand(0,$clen)];
         }
         return ($id);
       }
     public static function Alphabets($length)
       {
         $chars = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
         $clen  = strlen( $chars )-1;
         $id = '';
         for ($i = 0; $i < $length; $i++) {
             $id .= $chars[mt_rand(0,$clen)];
         }
         return ($id);
       }
     public static function AlphaNumeric($length)
       {
         $chars = "1234567890ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
         $clen  = strlen( $chars )-1;
         $id = '';
         for ($i = 0; $i < $length; $i++) {
             $id .= $chars[mt_rand(0,$clen)];
         }
         return ($id);
       }
    }
     echo Random::Numeric(6); # eg result: "567268"
     echo Random::Alphabets(9); # eg result: IAGRmZyJS
     echo Random::AlphaNumeric(10); #eg result: Gzt6syUS8M
    ?>
    
    The Windows rand() function is quite a lot worse than merely having a low maximum value. It's an ordinary Linear Congruential Generator, which means you only need three consecutive values to be able to predict its entire future output.
    Given the numbers 13050, 4267, 25352, construct the equations
    4267 = (13050a+c) % 32768
    25352 = (4267a+c) % 32768
    Solving for a and c gives
    a = 20077
    c = 12345
    Which means the next number that should be spat out is (25352×20077+12345) % 32768 = 19105 -- which indeed it is.
    It's not the small rand_max that breaks the algorithm, it's a weakness in the LCG algorithm itself. It's designed for when you only want a few kinda-random numbers occasionally, not if you want to generate any random-looking data.
    Another way to create an array of random numbers where there are no identical numbers.
    ($n = number of random numbers to return in the array
    $min = minimum number
    $max = maximum number)
    <?php
     function uniqueRand($n, $min = 0, $max = null)
     {
     if($max === null)
      $max = getrandmax();
     $array = range($min, $max);
     $return = array();
     $keys = array_rand($array, $n);
     foreach($keys as $key)
      $return[] = $array[$key];
     return $return;
     }
    ?>
    
    In Suhosin version 0.9.26 (released 2008.08.22) and above:
    - rand() and srand() are transparently modified to use the Mersenne Twister algorithm with separate state
    - rand() and mt_rand() have better internal seeding
    - srand() and mt_srand() are ignored (can be configured)
    Random is NOT actually random.
    It is easily illustrated by multiplying rand(1,500) by rand(1,500) and showing the output on the image:
    <?php
    header("Content-type: image/png");
    $img = imagecreatetruecolor(500,500);
    $ink = imagecolorallocate($img,255,255,255);
    for($i=0;$i<500;$i++) {
     for($j=0;$j<500;$j++) {
     imagesetpixel($img, rand(1,500), rand(1,500), $ink1);
     }
    }
    imagepng($img);
    imagedestroy($img);
    ?>
    I expected to get pixel noise, but instead one can see plain diagonal lines.
    I had to create a function that generates a random binominal distributed integer. Take a look at the following Wiki article:
    http://en.wikipedia.org/wiki/Binomial_distribution
    Here is my solution:
    <?php
    function bin_rand($min = null, $max = null)
    {
      $min = ($min) ? (int) $min : 0;
      $max = ($max) ? (int) $max : PHP_INT_MAX;
      
      $range = range($min, $max);
      $average = array_sum($range) / count($range);
      
      $dist = array();
      for ($x = $min; $x <= $max; $x++) {
        $dist[$x] = -abs($average - $x) + $average + 1;
      }
      
      $map = array();
      foreach ($dist as $int => $quantity) {
        for ($x = 0; $x < $quantity; $x++) {
          $map[] = $int;
        }
      }
      
      shuffle($map);
      return current($map);
    }
    ?>
    
    I thought this function (random color) might be of use to someone [to create and return a random hex for HTML colors]:
    <?php
    function get_random_color()
    {
      for ($i = 0; $i<6; $i++)
      {
        $c .= dechex(rand(0,15));
      }
      return "#$c";
    }
    ?>
    
    To Jano and Peta:
    Thanks for the code. In real world usage, I only had one problem with it: It will never return the first result of the array (or it will return nothing if there's only one item in the array). To remedy this, I simply subtracted 1 from 
    <?php
    $rand = rand(1,$max);
    ?>
    like so:
    <?php
    $rand = rand(1,$max)-1;
    ?>
    Thanks though, for the code you supplied. It was exactly what I needed.
    A nice function to generate a random string, using any character:
    <?php
    function generateRandStr($length){
       $randstr = "";
       for($i=0; $i<$length; $i++){
         $randnum = mt_rand(0,61);
         if($randnum < 10){
          $randstr .= chr($randnum+48);
         }else if($randnum < 36){
          $randstr .= chr($randnum+55);
         }else{
          $randstr .= chr($randnum+61);
         }
       }
       return $randstr;
      }
    ?>
    Simply use:
    generateRandStr(10);
    Sample output: $%29zon(4f
    Something we discovered in Sydney running BBS Systems before the net advent was here, if we didn't seed of another BBS we would going in circles in our System Physicality Abstraction Layers.. The important thing is to seed from a remote system and easy way at the Centroidal Plexus of the web (Chronolabs Cooperative) we offer a seed feed and the following code will randomise you out of the number cycle:
    See in PHP both the letters and numbers are seedable as letters are treated as numbers as well. You can always use individual tokens by extracting the Element with DOM.. But below is equally effective!
    <?php
    srand(file_get_contents('http://seed.feeds.labs.coop')); 
    ?>
    
    Improved random string generation function:
    <?php
    // Generate a random character string
    function rand_str($length = 32, $chars = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz1234567890')
    {
      // Length of character list
      $chars_length = (strlen($chars) - 1);
      // Start our string
      $string = $chars{rand(0, $chars_length)};
      
      // Generate random string
      for ($i = 1; $i < $length; $i = strlen($string))
      {
        // Grab a random character from our list
        $r = $chars{rand(0, $chars_length)};
        
        // Make sure the same two characters don't appear next to each other
        if ($r != $string{$i - 1}) $string .= $r;
      }
      
      // Return the string
      return $string;
    }
    ?>
    
    Much easier way to generate random string of numbers and letters:
    <?php
    $n = rand(10e16, 10e20);
    echo base_convert($n, 10, 36);
    ?>
    This generates strings of about 11 characters. Experiment with the range for rand() if you want shorter or longer.
    well ,
    this is my vision about "custom random string" :
    <?php
    function s($length){
     for($i=0;($i<$length)and(($what=rand(1,3))and( (($what==1)and($t=rand(48,57) ))or (($what==2)and ($t=rand(65,90))) or (($what==3)and ($t=rand(97,122))) ) and (print chr($t)));$i++);
    }
    s(10);
    ?>
    
    <?php
    //To Pull 7 Unique Random Values Out Of AlphaNumeric
    //removed number 0, capital o, number 1 and small L
    //Total: keys = 32, elements = 33
    $characters = array(
    "A","B","C","D","E","F","G","H","J","K","L","M",
    "N","P","Q","R","S","T","U","V","W","X","Y","Z",
    "1","2","3","4","5","6","7","8","9");
    //make an "empty container" or array for our keys
    $keys = array();
    //first count of $keys is empty so "1", remaining count is 1-6 = total 7 times
    while(count($keys) < 7) {
      //"0" because we use this to FIND ARRAY KEYS which has a 0 value
      //"-1" because were only concerned of number of keys which is 32 not 33
      //count($characters) = 33
      $x = mt_rand(0, count($characters)-1);
      if(!in_array($x, $keys)) {
        $keys[] = $x;
      }
    }
    foreach($keys as $key){
      $random_chars .= $characters[$key];
    }
    echo $random_chars;
    ?>
    
    Lately I needed some random numbers with a gaussian (normal) distribution, not evenly distributed as the numbers generated by rand(). After googling a while, I found out that there is no perfect algrorithm that creates such numbers out of evenly distruted random numbers but a few methods that have similar effect. The following function implements all three algorithms I found- The the last two methods create numbers where you can find a lower and upper boundary and the first one will create a number from time to time (such as one in every 10000) that may be very far from the average value. Have fun testing and using it.
    <?php
    function gauss($algorithm = "polar") {
      $randmax = 9999;
      
      switch($algorithm) {
        
        //polar-methode by marsaglia
        case "polar": 
          $v = 2;
          while ($v > 1) {
            $u1 = rand(0, $randmax) / $randmax;
            $u2 = rand(0, $randmax) / $randmax;
            $v = (2 * $u1 - 1) * (2 * $u1 - 1) + (2 * $u2 - 1) * (2 * $u2 - 1);
          }
          
          return (2* $u1 - 1) * (( -2 * log($v) / $v) ^ 0.5);
        
        // box-muller-method
        case "boxmuller": 
          do {
            $u1 = rand(0, $randmax) / $randmax;
            $u2 = rand(0, $randmax) / $randmax;          
            
            $x = sqrt(-2 * log($u1)) * cos(2 * pi() * $u2);
          } while (strval($x) == "1.#INF" or strval($x) == "-1.#INF");
          
          // the check has to be done cause sometimes (1:10000)
          // values such as "1.#INF" occur and i dont know why
          
          return $x;
        // twelve random numbers  
        case "zwoelfer":
          $sum = 0;
          for ($i = 0; $i < 12; $i++) {
            $sum += rand(0, $randmax) / $randmax;
          }
          return $sum;
       }    
    }
    ?>
    

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