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 package org.noregret.math 
 {
 
   /**
    * @author Nox Noctis
    */
   final public class Random 
   {
     public static function gaussianRandomPolar(mean : Number, deviation : Number) : Array
     {
       var x1 : Number, x2 : Number;
       var y1 : Number, y2 : Number;
       var w : Number;
       
       // Преобразование Бокса-Мюллера      
       // Box-Muller transform      
       do {
         x1 = 2.0 * Math.random() - 1.0;
         x2 = 2.0 * Math.random() - 1.0;
         w = x1 * x1 + x2 * x2;
       } while ( w >= 1.0 );
     
       w = Math.sqrt((-2.0 * Math.log(w) ) / w);
     
       y1 = x1 * w * deviation + mean;
       y2 = x2 * w * deviation + mean;
       
       return [y1, y2];
     }
 
     public static function gaussianRandom(mean : Number, deviation : Number) : Number
     {
       var point:Array = gaussianRandomPolar(mean, deviation);
       return Math.sqrt(point[0] * point[0] + point[1] * point[1]);
     }  
   }
 }

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 import org.noregret.math.Random;
 
 // получаем массив из двух элементов: [x, y]
 var coord:Array = Random.gaussianRandomPolar(0, 100);
 
 // получаем одно неотрицательное число
 var value:Number = Random.gaussianRandom(0, 100);

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 _global.exponentRandom = function(max_value, exponent) {
   exponent = exponent || 2;
   var num = Math.pow(max_value, 1/exponent);
   num = Math.random()*num;
   num = Math.pow(num, exponent);
   num = Math.round(num);
   return num;
 };
 this.checkExponentRandom = function(num, exponent, iterations) {
   if (num<=0) {
     return false;
   }
   iterations = iterations || 100;
   var mc = this.createEmptyMovieClip('test_mc', 0);
   mc._x = mc._y=num;
   var arr = [];
   for (var i = 0; i<iterations; i++) {
     var angle = random(360)*Math.PI/180;
     var radius = exponentRandom(num, exponent);
     arr.push({angle:angle, radius:radius});
   }
   arr.sortOn("angle");
   var x = arr[0].radius*Math.cos(arr[0].angle);
   var y = arr[0].radius*Math.sin(arr[0].angle);
   mc.beginFill(0, 50);
   mc.moveTo(x, y);
   for (var i = 1, len = arr.length; i<len; i += 2) {
     var cx = arr[i-1].radius*Math.cos(arr[i-1].angle);
     var cy = arr[i-1].radius*Math.sin(arr[i-1].angle);
     var ex = arr[i].radius*Math.cos(arr[i].angle);
     var ey = arr[i].radius*Math.sin(arr[i].angle);
     mc.curveTo(cx, cy, ex, ey);
   }
   mc.endFill()
 };
 this.onMouseUp = function() {
   this.checkExponentRandom(200, .5, 100);
 };

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 var mc = this.createEmptyMovieClip('test_mc', 0);
 mc._x = mc._y=num;
 this.checkExponentRandom = function(num, exponent, iterations) {
   if (num<=0) {
     return false;
   }
   iterations = iterations || 100;
   var mc = this.test_mc;
   mc.clear();
   for (var i = 0; i<iterations; i++) {
     var angle = (Math.random()+random(360))*Math.PI/180;
     var radius = exponentRandom(num, exponent);
     var x = radius*Math.cos(angle);
     var y = radius*Math.sin(angle);
     mc.lineStyle(12-radius/num*10, 0x990000, 100);
     mc.moveTo(x, y);
     mc.lineTo(x+.5, y);
   }
 };
 this.onEnterFrame = function() {
   this.checkExponentRandom(200, .2, 500);
 };