flymis/WebRoot/dojojs/src/math.js

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/*
	Copyright (c) 2004-2006, The Dojo Foundation
	All Rights Reserved.

	Licensed under the Academic Free License version 2.1 or above OR the
	modified BSD license. For more information on Dojo licensing, see:

		http://dojotoolkit.org/community/licensing.shtml
*/

dojo.provide("dojo.math");

dojo.math.degToRad = function(/* float */x) {
	//	summary
	//	Converts degrees to radians.
	return (x*Math.PI) / 180; 	//	float
}
dojo.math.radToDeg = function(/* float */x) { 
	//	summary
	//	Converts radians to degrees.
	return (x*180) / Math.PI; 	//	float
}

dojo.math.factorial = function(/* integer */n){
	//	summary
	//	Returns n!
	if(n<1){ return 0; }
	var retVal = 1;
	for(var i=1;i<=n;i++){ retVal *= i; }
	return retVal;	//	integer
}

dojo.math.permutations = function(/* integer */n, /* integer */k) {
	//	summary
	//	The number of ways of obtaining an ordered subset of k elements from a set of n elements
	if(n==0 || k==0) return 1;
	return (dojo.math.factorial(n) / dojo.math.factorial(n-k));	//	float
}

dojo.math.combinations = function (/* integer */n, /* integer */r) {
	//	summary
	//	The number of ways of picking n unordered outcomes from r possibilities
	if(n==0 || r==0) return 1;
	return (dojo.math.factorial(n) / (dojo.math.factorial(n-r) * dojo.math.factorial(r)));	//	float
}

dojo.math.bernstein = function(/* float */t, /* float */n, /* float */i) {
	//	summary
	//	Calculates a weighted average based on the Bernstein theorem.
	return (dojo.math.combinations(n,i) * Math.pow(t,i) * Math.pow(1-t,n-i));	//	float
}

dojo.math.gaussianRandom = function(){
	//	summary
	//	Returns random numbers with a Gaussian distribution, with the mean set at 0 and the variance set at 1.
	var k = 2;
	do {
		var i = 2 * Math.random() - 1;
		var j = 2 * Math.random() - 1;
		k = i * i + j * j;