Object.extend(Math,{sum:function(list){var sum=0;for(var i=0,len=list.length;i<len;i++)sum+=list[i];return sum},mean:function(list){return list.length?this.sum(list)/list.length:false},median:function(list){if(!list.length)return false;list=this.sort(list);if(list.length.isEven()){return this.mean([list[list.length/2-1],list[list.length/2]])}else{return list[(list.length/2).floor()]}},variance:function(list){if(!list.length)return false;var mean=this.mean(list);var dev=[];for(var i=0,len=list.length;i<len;i++)dev.push(this.pow(list[i]-mean,2));return this.mean(dev)},stdDev:function(list){return this.sqrt(this.variance(list))},sort:function(list,desc){return list.clone().sort(function(a,b){return desc?b-a:a-b})},baseLog:function(n,base){return this.log(n)/this.log(base||10)},factorize:function(n){if(!n.isNatural(true)||n==1)return false;if(n.isPrime())return[n];var sqrtOfN=this.sqrt(n);for(var i=2;i<=sqrtOfN;i++)if((n%i).isNull()&&i.isPrime())return[i,this.factorize(n/i)].flatten()},sinh:function(n){return(this.exp(n)-this.exp(-n))/2},cosh:function(n){return(this.exp(n)+this.exp(-n))/2},tanh:function(n){return this.sinh(n)/this.cosh(n)}});Object.extend(Number.prototype,{isNaN:function(){return isNaN(this)},isNull:function(){return this==0},isEven:function(){if(!this.isInteger())return false;return(this%2?false:true)},isOdd:function(){if(!this.isInteger())return false;return(this%2?true:false)},isInteger:function(excludeZero){if(this.isNaN())return false;if(excludeZero&&this.isNull())return false;return(this-this.floor())?false:true},isNatural:function(excludeZero){return(this.isInteger(excludeZero)&&this>=0)},isPrime:function(){var sqrtOfThis=Math.sqrt(this);var somePrimes=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101];if(!this.isNatural(true)||sqrtOfThis.isInteger()){return false}if(somePrimes.include(this))return true;for(var i=0,len=somePrimes.length;i<len;i++){if(somePrimes[i]>sqrtOfThis){return true}if((this%somePrimes[i]).isNull()){return false}}for(var i=103;i<=sqrtOfThis;i+=2){if((this%i).isNull()){return false}}return true},compute:function(fn){return fn(this)}});Object.extend(Array.prototype,{swap:function(index1,index2){var swap=this[index1];this[index1]=this[index2];this[index2]=swap;return this},shuffle:function(inline,times){var list=(inline!=false?this:this.clone());for(var i=0,len=list.length*(times||4);i<len;i++){list.swap((Math.random()*list.length).floor(),(Math.random()*list.length).floor())}return list},randomDraw:function(items){items=Number(items)||1;var list=this.shuffle(false);if(items>=list.length){return list}var sample=[];for(var i=1;i<=items;i++){if(list.length>0){sample.push(list.shift())}else{return sample}}return sample}});Object.extend(Object,{numericValues:function(object){return Object.values(object).select(Object.isNumber)}});