<!DOCTYPE html>

<html lang="en">
<head>
	<meta charset="utf-8">
	<title>Phaser Source: math/Math.js</title>

	<!--[if lt IE 9]>
	<script src="//html5shiv.googlecode.com/svn/trunk/html5.js"></script>
	<![endif]-->
	<link type="text/css" rel="stylesheet" href="styles/sunlight.default.css">

	
	<link type="text/css" rel="stylesheet" href="styles/site.cerulean.css">
	
</head>

<body>
<div class="container-fluid">
	<div class="navbar navbar-fixed-top navbar-inverse">
		<div class="navbar-inner">
			<a class="brand" href="index.html">Phaser</a>
			<ul class="nav">
				
				<li class="dropdown">
					<a href="namespaces.list.html" class="dropdown-toggle" data-toggle="dropdown">Namespaces<b
						class="caret"></b></a>

					<ul class="dropdown-menu ">
						
						<li>
							<a href="Phaser.html">Phaser</a>
						</li>
						

					</ul>
				</li>
				
				<li class="dropdown">
					<a href="classes.list.html" class="dropdown-toggle" data-toggle="dropdown">Classes<b
						class="caret"></b></a>

					<ul class="dropdown-menu ">
						
						<li>
							<a href="Phaser.Animation.html">Animation</a>
						</li>
						
						<li>
							<a href="Phaser.AnimationManager.html">AnimationManager</a>
						</li>
						
						<li>
							<a href="Phaser.AnimationParser.html">AnimationParser</a>
						</li>
						
						<li>
							<a href="Phaser.BitmapData.html">BitmapData</a>
						</li>
						
						<li>
							<a href="Phaser.BitmapText.html">BitmapText</a>
						</li>
						
						<li>
							<a href="Phaser.Button.html">Button</a>
						</li>
						
						<li>
							<a href="Phaser.Cache.html">Cache</a>
						</li>
						
						<li>
							<a href="Phaser.Camera.html">Camera</a>
						</li>
						
						<li>
							<a href="Phaser.Canvas.html">Canvas</a>
						</li>
						
						<li>
							<a href="Phaser.Circle.html">Circle</a>
						</li>
						
						<li>
							<a href="Phaser.Color.html">Color</a>
						</li>
						
						<li>
							<a href="Phaser.Device.html">Device</a>
						</li>
						
						<li>
							<a href="Phaser.DOMSprite.html">DOMSprite</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.html">Easing</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Back.html">Back</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Bounce.html">Bounce</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Circular.html">Circular</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Cubic.html">Cubic</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Elastic.html">Elastic</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Exponential.html">Exponential</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Linear.html">Linear</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Quadratic.html">Quadratic</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Quartic.html">Quartic</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Quintic.html">Quintic</a>
						</li>
						
						<li>
							<a href="Phaser.Easing.Sinusoidal.html">Sinusoidal</a>
						</li>
						
						<li>
							<a href="Phaser.Events.html">Events</a>
						</li>
						
						<li>
							<a href="Phaser.Filter.html">Filter</a>
						</li>
						
						<li>
							<a href="Phaser.Frame.html">Frame</a>
						</li>
						
						<li>
							<a href="Phaser.FrameData.html">FrameData</a>
						</li>
						
						<li>
							<a href="Phaser.Game.html">Game</a>
						</li>
						
						<li>
							<a href="Phaser.GameObjectFactory.html">GameObjectFactory</a>
						</li>
						
						<li>
							<a href="Phaser.Gamepad.html">Gamepad</a>
						</li>
						
						<li>
							<a href="Phaser.GamepadButton.html">GamepadButton</a>
						</li>
						
						<li>
							<a href="Phaser.Graphics.html">Graphics</a>
						</li>
						
						<li>
							<a href="Phaser.Group.html">Group</a>
						</li>
						
						<li>
							<a href="Phaser.Image.html">Image</a>
						</li>
						
						<li>
							<a href="Phaser.Input.html">Input</a>
						</li>
						
						<li>
							<a href="Phaser.InputHandler.html">InputHandler</a>
						</li>
						
						<li>
							<a href="Phaser.Key.html">Key</a>
						</li>
						
						<li>
							<a href="Phaser.Keyboard.html">Keyboard</a>
						</li>
						
						<li>
							<a href="Phaser.Line.html">Line</a>
						</li>
						
						<li>
							<a href="Phaser.LinkedList.html">LinkedList</a>
						</li>
						
						<li>
							<a href="Phaser.Loader.html">Loader</a>
						</li>
						
						<li>
							<a href="Phaser.LoaderParser.html">LoaderParser</a>
						</li>
						
						<li>
							<a href="Phaser.Math.html">Math</a>
						</li>
						
						<li>
							<a href="Phaser.Mouse.html">Mouse</a>
						</li>
						
						<li>
							<a href="Phaser.MSPointer.html">MSPointer</a>
						</li>
						
						<li>
							<a href="Phaser.Net.html">Net</a>
						</li>
						
						<li>
							<a href="Phaser.Particles.html">Particles</a>
						</li>
						
						<li>
							<a href="Phaser.Particles.Arcade.Emitter.html">Emitter</a>
						</li>
						
						<li>
							<a href="Phaser.Physics.html">Physics</a>
						</li>
						
						<li>
							<a href="Phaser.Physics.Arcade.html">Arcade</a>
						</li>
						
						<li>
							<a href="Phaser.Physics.Arcade.Body.html">Body</a>
						</li>
						
						<li>
							<a href="Phaser.Plugin.html">Plugin</a>
						</li>
						
						<li>
							<a href="Phaser.PluginManager.html">PluginManager</a>
						</li>
						
						<li>
							<a href="Phaser.Point.html">Point</a>
						</li>
						
						<li>
							<a href="Phaser.Pointer.html">Pointer</a>
						</li>
						
						<li>
							<a href="Phaser.Polygon.html">Polygon</a>
						</li>
						
						<li>
							<a href="Phaser.QuadTree.html">QuadTree</a>
						</li>
						
						<li>
							<a href="Phaser.RandomDataGenerator.html">RandomDataGenerator</a>
						</li>
						
						<li>
							<a href="Phaser.Rectangle.html">Rectangle</a>
						</li>
						
						<li>
							<a href="Phaser.RenderTexture.html">RenderTexture</a>
						</li>
						
						<li>
							<a href="Phaser.RequestAnimationFrame.html">RequestAnimationFrame</a>
						</li>
						
						<li>
							<a href="Phaser.Signal.html">Signal</a>
						</li>
						
						<li>
							<a href="Phaser.SinglePad.html">SinglePad</a>
						</li>
						
						<li>
							<a href="Phaser.Sound.html">Sound</a>
						</li>
						
						<li>
							<a href="Phaser.SoundManager.html">SoundManager</a>
						</li>
						
						<li>
							<a href="Phaser.Sprite.html">Sprite</a>
						</li>
						
						<li>
							<a href="Phaser.Stage.html">Stage</a>
						</li>
						
						<li>
							<a href="Phaser.StageScaleMode.html">StageScaleMode</a>
						</li>
						
						<li>
							<a href="Phaser.State.html">State</a>
						</li>
						
						<li>
							<a href="Phaser.StateManager.html">StateManager</a>
						</li>
						
						<li>
							<a href="Phaser.Text.html">Text</a>
						</li>
						
						<li>
							<a href="Phaser.Tile.html">Tile</a>
						</li>
						
						<li>
							<a href="Phaser.Tilemap.html">Tilemap</a>
						</li>
						
						<li>
							<a href="Phaser.TilemapLayer.html">TilemapLayer</a>
						</li>
						
						<li>
							<a href="Phaser.TilemapParser.html">TilemapParser</a>
						</li>
						
						<li>
							<a href="Phaser.Tileset.html">Tileset</a>
						</li>
						
						<li>
							<a href="Phaser.TileSprite.html">TileSprite</a>
						</li>
						
						<li>
							<a href="Phaser.Time.html">Time</a>
						</li>
						
						<li>
							<a href="Phaser.Timer.html">Timer</a>
						</li>
						
						<li>
							<a href="Phaser.TimerEvent.html">TimerEvent</a>
						</li>
						
						<li>
							<a href="Phaser.Touch.html">Touch</a>
						</li>
						
						<li>
							<a href="Phaser.Tween.html">Tween</a>
						</li>
						
						<li>
							<a href="Phaser.TweenManager.html">TweenManager</a>
						</li>
						
						<li>
							<a href="Phaser.Utils.html">Utils</a>
						</li>
						
						<li>
							<a href="Phaser.Utils.Debug.html">Debug</a>
						</li>
						
						<li>
							<a href="Phaser.World.html">World</a>
						</li>
						
						<li>
							<a href="SignalBinding.html">SignalBinding</a>
						</li>
						

					</ul>
				</li>
				
				<li class="dropdown">
					<a href="global.html" class="dropdown-toggle" data-toggle="dropdown">Global<b
						class="caret"></b></a>

					<ul class="dropdown-menu ">
						
						<li>
							<a href="global.html#canUseNewCanvasBlendModes">canUseNewCanvasBlendModes</a>
						</li>
						
						<li>
							<a href="global.html#getNextPowerOfTwo">getNextPowerOfTwo</a>
						</li>
						
						<li>
							<a href="global.html#hex2rgb">hex2rgb</a>
						</li>
						
						<li>
							<a href="global.html#hitTest">hitTest</a>
						</li>
						
						<li>
							<a href="global.html#rgb2hex">rgb2hex</a>
						</li>
						

					</ul>
				</li>
				
			</ul>
		</div>
	</div>

	<div class="row-fluid">

		
			<div class="span12">
				
				<div id="main">
					


		<h1 class="page-title">Source: math/Math.js</h1>
    
    <section>
        <article>
            <pre class="sunlight-highlight-javascript linenums">/**
* @author       Richard Davey &lt;rich@photonstorm.com>
* @copyright    2014 Photon Storm Ltd.
* @license      {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License}
*/

/**
* A collection of mathematical methods.
*
* @class Phaser.Math
*/
Phaser.Math = {

    /**
    * = 2 &pi;
    * @method Phaser.Math#PI2
    */
    PI2: Math.PI * 2,

    /**
    * Two number are fuzzyEqual if their difference is less than &epsilon;. 
    * @method Phaser.Math#fuzzyEqual
    * @param {number} a
    * @param {number} b
    * @param {number} epsilon 
    * @return {boolean} True if |a-b|&lt;&epsilon;
    */
    fuzzyEqual: function (a, b, epsilon) {
        if (typeof epsilon === "undefined") { epsilon = 0.0001; }
        return Math.abs(a - b) &lt; epsilon;
    },

    /**
    * a is fuzzyLessThan b if it is less than b + &epsilon;. 
    * @method Phaser.Math#fuzzyEqual
    * @param {number} a
    * @param {number} b
    * @param {number} epsilon 
    * @return {boolean} True if a&lt;b+&epsilon;
    */
    fuzzyLessThan: function (a, b, epsilon) {
        if (typeof epsilon === "undefined") { epsilon = 0.0001; }
        return a &lt; b + epsilon;
    },

    /**
    * a is fuzzyGreaterThan b if it is more than b - &epsilon;.  
    * @method Phaser.Math#fuzzyGreaterThan
    * @param {number} a
    * @param {number} b
    * @param {number} epsilon 
    * @return {boolean} True if a>b+&epsilon;
    */
    fuzzyGreaterThan: function (a, b, epsilon) {
        if (typeof epsilon === "undefined") { epsilon = 0.0001; }
        return a > b - epsilon;
    },

    /** 
    * @method Phaser.Math#fuzzyCeil
    * @param {number} val
    * @param {number} epsilon 
    * @return {boolean} ceiling(val-&epsilon;)
    */
    fuzzyCeil: function (val, epsilon) {
        if (typeof epsilon === "undefined") { epsilon = 0.0001; }
        return Math.ceil(val - epsilon);
    },

    /** 
    * @method Phaser.Math#fuzzyFloor
    * @param {number} val
    * @param {number} epsilon 
    * @return {boolean} floor(val-&epsilon;)
    */
    fuzzyFloor: function (val, epsilon) {
        if (typeof epsilon === "undefined") { epsilon = 0.0001; }
        return Math.floor(val + epsilon);
    },

    /** 
    * Averages all values passed to the function and returns the result. You can pass as many parameters as you like.
    * @method Phaser.Math#average
    * @return {number} The average of all given values.
    */
    average: function () {

        var args = [];

        for (var _i = 0; _i &lt; (arguments.length - 0); _i++) {
            args[_i] = arguments[_i + 0];
        }

        var avg = 0;

        for (var i = 0; i &lt; args.length; i++) {
            avg += args[i];
        }

        return avg / args.length;

    },

    /** 
    * @method Phaser.Math#truncate
    * @param {number} n
    * @return {number}
    */
    truncate: function (n) {
        return (n > 0) ? Math.floor(n) : Math.ceil(n);
    },

    /** 
    * @method Phaser.Math#shear
    * @param {number} n
    * @return {number} n mod 1
    */
    shear: function (n) {
        return n % 1;
    },

    /**
    * Snap a value to nearest grid slice, using rounding.
    *
    * Example: if you have an interval gap of 5 and a position of 12... you will snap to 10 whereas 14 will snap to 15.
    *
    * @method Phaser.Math#snapTo
    * @param {number} input - The value to snap.
    * @param {number} gap - The interval gap of the grid.
    * @param {number} [start] - Optional starting offset for gap.
    * @return {number}
    */
    snapTo: function (input, gap, start) {

        if (typeof start === "undefined") { start = 0; }

        if (gap === 0) {
            return input;
        }

        input -= start;
        input = gap * Math.round(input / gap);

        return start + input;

    },

    /**
    * Snap a value to nearest grid slice, using floor.
    *
    * Example: if you have an interval gap of 5 and a position of 12... you will snap to 10. As will 14 snap to 10... but 16 will snap to 15
    *
    * @method Phaser.Math#snapToFloor
    * @param {number} input - The value to snap.
    * @param {number} gap - The interval gap of the grid.
    * @param {number} [start] - Optional starting offset for gap.
    * @return {number}
    */
    snapToFloor: function (input, gap, start) {

        if (typeof start === "undefined") { start = 0; }

        if (gap === 0) {
            return input;
        }

        input -= start;
        input = gap * Math.floor(input / gap);

        return start + input;

    },

    /**
    * Snap a value to nearest grid slice, using ceil.
    *
    * Example: if you have an interval gap of 5 and a position of 12... you will snap to 15. As will 14 will snap to 15... but 16 will snap to 20.
    *
    * @method Phaser.Math#snapToCeil
    * @param {number} input - The value to snap.
    * @param {number} gap - The interval gap of the grid.
    * @param {number} [start] - Optional starting offset for gap.
    * @return {number}
    */
    snapToCeil: function (input, gap, start) {

        if (typeof start === "undefined") { start = 0; }

        if (gap === 0) {
            return input;
        }

        input -= start;
        input = gap * Math.ceil(input / gap);

        return start + input;

    },


    /**
    * Snaps a value to the nearest value in an array.
    * @method Phaser.Math#snapToInArray
    * @param {number} input
    * @param {array} arr 
    * @param {boolean} sort - True if the array needs to be sorted.
    * @return {number}
    */
    snapToInArray: function (input, arr, sort) {

        if (typeof sort === "undefined") { sort = true; }

        if (sort) {
            arr.sort();
        }

        if (input &lt; arr[0]) {
            return arr[0];
        }

        var i = 1;
        
        while (arr[i] &lt; input) {
            i++;
        }

        var low = arr[i - 1];
        var high = (i &lt; arr.length) ? arr[i] : Number.POSITIVE_INFINITY;
        
        return ((high - input) &lt;= (input - low)) ? high : low;

    },

    /**
    * Round to some place comparative to a 'base', default is 10 for decimal place.
    *
    * 'place' is represented by the power applied to 'base' to get that place
    * e.g.
    * 2000/7 ~= 285.714285714285714285714 ~= (bin)100011101.1011011011011011
    *
    * roundTo(2000/7,3) === 0
    * roundTo(2000/7,2) == 300
    * roundTo(2000/7,1) == 290
    * roundTo(2000/7,0) == 286
    * roundTo(2000/7,-1) == 285.7
    * roundTo(2000/7,-2) == 285.71
    * roundTo(2000/7,-3) == 285.714
    * roundTo(2000/7,-4) == 285.7143
    * roundTo(2000/7,-5) == 285.71429
    *
    * roundTo(2000/7,3,2)  == 288       -- 100100000
    * roundTo(2000/7,2,2)  == 284       -- 100011100
    * roundTo(2000/7,1,2)  == 286       -- 100011110
    * roundTo(2000/7,0,2)  == 286       -- 100011110
    * roundTo(2000/7,-1,2) == 285.5     -- 100011101.1
    * roundTo(2000/7,-2,2) == 285.75    -- 100011101.11
    * roundTo(2000/7,-3,2) == 285.75    -- 100011101.11
    * roundTo(2000/7,-4,2) == 285.6875  -- 100011101.1011
    * roundTo(2000/7,-5,2) == 285.71875 -- 100011101.10111
    *
    * Note what occurs when we round to the 3rd space (8ths place), 100100000, this is to be assumed
    * because we are rounding 100011.1011011011011011 which rounds up.
    * 
    * @method Phaser.Math#roundTo
    * @param {number} value - The value to round.
    * @param {number} place - The place to round to.
    * @param {number} base - The base to round in... default is 10 for decimal.
    * @return {number}
    */
    roundTo: function (value, place, base) {

        if (typeof place === "undefined") { place = 0; }
        if (typeof base === "undefined") { base = 10; }
        
        var p = Math.pow(base, -place);
        
        return Math.round(value * p) / p;

    },

    /**
    * @method Phaser.Math#floorTo
    * @param {number} value - The value to round.
    * @param {number} place - The place to round to.
    * @param {number} base - The base to round in... default is 10 for decimal.
    * @return {number}
    */
    floorTo: function (value, place, base) {

        if (typeof place === "undefined") { place = 0; }
        if (typeof base === "undefined") { base = 10; }

        var p = Math.pow(base, -place);

        return Math.floor(value * p) / p;

    },

    /**
    * @method Phaser.Math#ceilTo
    * @param {number} value - The value to round.
    * @param {number} place - The place to round to.
    * @param {number} base - The base to round in... default is 10 for decimal.
    * @return {number}
    */
    ceilTo: function (value, place, base) {

        if (typeof place === "undefined") { place = 0; }
        if (typeof base === "undefined") { base = 10; }

        var p = Math.pow(base, -place);

        return Math.ceil(value * p) / p;

    },

    /**
    * A one dimensional linear interpolation of a value.
    * @method Phaser.Math#interpolateFloat
    * @param {number} a
    * @param {number} b
    * @param {number} weight 
    * @return {number}
    */
    interpolateFloat: function (a, b, weight) {
        return (b - a) * weight + a;
    },

    /**
    * Find the angle of a segment from (x1, y1) -> (x2, y2).
    * @method Phaser.Math#angleBetween
    * @param {number} x1
    * @param {number} y1
    * @param {number} x2
    * @param {number} y2
    * @return {number}
    */
    angleBetween: function (x1, y1, x2, y2) {
        return Math.atan2(y2 - y1, x2 - x1);
    },

    /**
    * Reverses an angle.
    * @method Phaser.Math#reverseAngle
    * @param {number} angleRad - The angle to reverse, in radians.
    * @return {number} Returns the reverse angle, in radians.
    */
    reverseAngle: function (angleRad) {
        return this.normalizeAngle(angleRad + Math.PI, true);
    },

    /**
    * Normalizes an angle to the [0,2pi) range.
    * @method Phaser.Math#normalizeAngle
    * @param {number} angleRad - The angle to normalize, in radians.
    * @return {number} Returns the angle, fit within the [0,2pi] range, in radians.
    */
    normalizeAngle: function (angleRad) {

        angleRad = angleRad % (2 * Math.PI);
        return angleRad >= 0 ? angleRad : angleRad + 2 * Math.PI;
        
    },

    /**
    * Normalizes a latitude to the [-90,90] range. Latitudes above 90 or below -90 are capped, not wrapped.
    * @method Phaser.Math#normalizeLatitude
    * @param {number} lat - The latitude to normalize, in degrees.
    * @return {number} Returns the latitude, fit within the [-90,90] range.
    */
    normalizeLatitude: function (lat) {
        return Math.max(-90, Math.min(90, lat));
    },

    /**
    * Normalizes a longitude to the [-180,180] range. Longitudes above 180 or below -180 are wrapped.
    * @method Phaser.Math#normalizeLongitude
    * @param {number} lng - The longitude to normalize, in degrees.
    * @return {number} Returns the longitude, fit within the [-180,180] range.
    */
    normalizeLongitude: function (lng) {

        if (lng % 360 == 180)
        {
            return 180;
        }

        lng = lng % 360;
        return lng &lt; -180 ? lng + 360 : lng > 180 ? lng - 360 : lng;

    },

    /**
    * Closest angle between two angles from a1 to a2 absolute value the return for exact angle
    * @method Phaser.Math#nearestAngleBetween
    * @param {number} a1
    * @param {number} a2
    * @param {boolean} radians - True if angle sizes are expressed in radians.
    * @return {number}
    */
    nearestAngleBetween: function (a1, a2, radians) {

        if (typeof radians === "undefined") { radians = true; }

        var rd = (radians) ? Math.PI : 180;
        a1 = this.normalizeAngle(a1, radians);
        a2 = this.normalizeAngle(a2, radians);
        
        if (a1 &lt; -rd / 2 && a2 > rd / 2)
        {
            a1 += rd * 2;
        }

        if (a2 &lt; -rd / 2 && a1 > rd / 2)
        {
            a2 += rd * 2;
        }

        return a2 - a1;

    },

    /**
    * Interpolate across the shortest arc between two angles.
    * @method Phaser.Math#interpolateAngles
    * @param {number} a1 - Description.
    * @param {number} a2 - Description.
    * @param {number} weight - Description.
    * @param {boolean} radians - True if angle sizes are expressed in radians.
    * @param {Description} ease - Description.
    * @return {number}
    */
    interpolateAngles: function (a1, a2, weight, radians, ease) {

        if (typeof radians === "undefined") { radians = true; }
        if (typeof ease === "undefined") { ease = null; }

        a1 = this.normalizeAngle(a1, radians);
        a2 = this.normalizeAngleToAnother(a2, a1, radians);

        return (typeof ease === 'function') ? ease(weight, a1, a2 - a1, 1) : this.interpolateFloat(a1, a2, weight);

    },

    /**
    * Generate a random bool result based on the chance value.
    * &lt;p>
    * Returns true or false based on the chance value (default 50%). For example if you wanted a player to have a 30% chance
    * of getting a bonus, call chanceRoll(30) - true means the chance passed, false means it failed.
    * &lt;/p>
    * @method Phaser.Math#chanceRoll
    * @param {number} chance - The chance of receiving the value. A number between 0 and 100 (effectively 0% to 100%).
    * @return {boolean} True if the roll passed, or false otherwise.
    */
    chanceRoll: function (chance) {

        if (typeof chance === "undefined") { chance = 50; }
        
        if (chance &lt;= 0)
        {
            return false;
        }
        else if (chance >= 100)
        {
            return true;
        }
        else
        {
            if (Math.random() * 100 >= chance)
            {
                return false;
            }
            else
            {
                return true;
            }
        }

    },

    /**
    * Returns an Array containing the numbers from min to max (inclusive).
    *
    * @method Phaser.Math#numberArray
    * @param {number} min - The minimum value the array starts with.
    * @param {number} max - The maximum value the array contains.
    * @return {array} The array of number values.
    */
    numberArray: function (min, max) {

        var result = [];

        for (var i = min; i &lt;= max; i++)
        {
            result.push(i);
        }

        return result;

    },

    /**
    * Adds the given amount to the value, but never lets the value go over the specified maximum.
    *
    * @method Phaser.Math#maxAdd
    * @param {number} value - The value to add the amount to.
    * @param {number} amount - The amount to add to the value.
    * @param {number} max- The maximum the value is allowed to be.
    * @return {number}
    */
    maxAdd: function (value, amount, max) {

        value += amount;

        if (value > max)
        {
            value = max;
        }

        return value;

    },

    /**
    * Subtracts the given amount from the value, but never lets the value go below the specified minimum.
    *
    * @method Phaser.Math#minSub
    * @param {number} value - The base value.
    * @param {number} amount - The amount to subtract from the base value.
    * @param {number} min - The minimum the value is allowed to be.
    * @return {number} The new value.
    */
    minSub: function (value, amount, min) {

        value -= amount;
        
        if (value &lt; min)
        {
            value = min;
        }

        return value;

    },

    /**
    * Ensures that the value always stays between min and max, by wrapping the value around.
    * max should be larger than min, or the function will return 0.
    *
    * @method Phaser.Math#wrap
    * @param {number} value - The value to wrap.
    * @param {number} min - The minimum the value is allowed to be.
    * @param {number} max - The maximum the value is allowed to be.
    * @return {number} The wrapped value.
    */
    wrap: function (value, min, max) {

        var range = max - min;

        if (range &lt;= 0)
        {
            return 0;
        }

        var result = (value - min) % range;

        if (result &lt; 0)
        {
            result += range;
        }
        
        return result + min;

    },

    /**
    * Adds value to amount and ensures that the result always stays between 0 and max, by wrapping the value around.
    * &lt;p>Values must be positive integers, and are passed through Math.abs&lt;/p>
    *
    * @method Phaser.Math#wrapValue
    * @param {number} value - The value to add the amount to.
    * @param {number} amount - The amount to add to the value.
    * @param {number} max - The maximum the value is allowed to be.
    * @return {number} The wrapped value.
    */
    wrapValue: function (value, amount, max) {

        var diff;
        value = Math.abs(value);
        amount = Math.abs(amount);
        max = Math.abs(max);
        diff = (value + amount) % max;

        return diff;

    },

    /**
    * Randomly returns either a 1 or -1.
    *
    * @method Phaser.Math#randomSign
    * @return {number}  1 or -1
    */
    randomSign: function () {
        return (Math.random() > 0.5) ? 1 : -1;
    },

    /**
    * Returns true if the number given is odd.
    *
    * @method Phaser.Math#isOdd
    * @param {number} n - The number to check.
    * @return {boolean} True if the given number is odd. False if the given number is even.
    */
    isOdd: function (n) {

        return (n & 1);

    },

    /**
    * Returns true if the number given is even.
    *
    * @method Phaser.Math#isEven
    * @param {number} n - The number to check.
    * @return {boolean} True if the given number is even. False if the given number is odd.
    */
    isEven: function (n) {

        if (n & 1)
        {
            return false;
        }
        else
        {
            return true;
        }

    },

    /**
    * Significantly faster version of Math.max
    * See http://jsperf.com/math-s-min-max-vs-homemade/5
    *
    * @method Phaser.Math#max
    * @return {number} The highest value from those given.
    */
    max: function () {

        for (var i = 1, max = 0, len = arguments.length; i &lt; len; i++)
        {
            if (arguments[max] &lt; arguments[i])
            {
                max = i;
            }
        }
        
        return arguments[max];

    },

    /**
    * Updated version of Math.min that can be passed either an array of numbers or the numbers as parameters.
    * See http://jsperf.com/math-s-min-max-vs-homemade/5
    *
    * @method Phaser.Math#min
    * @return {number} The lowest value from those given.
    */
    min: function () {

        if (arguments.length === 1 && typeof arguments[0] === 'object')
        {
            var data = arguments[0];
        }
        else
        {
            var data = arguments;
        }

        for (var i = 1, min = 0, len = data.length; i &lt; len; i++)
        {
            if (data[i] &lt; data[min])
            {
                min = i;
            }
        }

        return data[min];

    },

    /**
    * Updated version of Math.max that can be passed either an array of numbers or the numbers as parameters.
    *
    * @method Phaser.Math#max
    * @return {number} The largest value from those given.
    */
    max: function () {

        if (arguments.length === 1 && typeof arguments[0] === 'object')
        {
            var data = arguments[0];
        }
        else
        {
            var data = arguments;
        }

        for (var i = 1, max = 0, len = data.length; i &lt; len; i++)
        {
            if (data[i] > data[max])
            {
                max = i;
            }
        }

        return data[max];

    },

    /**
    * Updated version of Math.min that can be passed a property and either an array of objects or the objects as parameters.
    * It will find the lowest matching property value from the given objects.
    *
    * @method Phaser.Math#minProperty
    * @return {number} The lowest value from those given.
    */
    minProperty: function (property) {

        if (arguments.length === 2 && typeof arguments[1] === 'object')
        {
            var data = arguments[1];
        }
        else
        {
            var data = arguments.slice(1);
        }

        for (var i = 1, min = 0, len = data.length; i &lt; len; i++)
        {
            if (data[i][property] &lt; data[min][property])
            {
                min = i;
            }
        }

        return data[min][property];

    },

    /**
    * Updated version of Math.max that can be passed a property and either an array of objects or the objects as parameters.
    * It will find the largest matching property value from the given objects.
    *
    * @method Phaser.Math#maxProperty
    * @return {number} The largest value from those given.
    */
    maxProperty: function (property) {

        if (arguments.length === 2 && typeof arguments[1] === 'object')
        {
            var data = arguments[1];
        }
        else
        {
            var data = arguments.slice(1);
        }

        for (var i = 1, max = 0, len = data.length; i &lt; len; i++)
        {
            if (data[i][property] > data[max][property])
            {
                max = i;
            }
        }

        return data[max][property];

    },

    /**
    * Keeps an angle value between -180 and +180&lt;br>
    * Should be called whenever the angle is updated on the Sprite to stop it from going insane.
    *
    * @method Phaser.Math#wrapAngle
    * @param {number} angle - The angle value to check
    * @return {number} The new angle value, returns the same as the input angle if it was within bounds.
    */
    wrapAngle: function (angle) {

        return this.wrap(angle, -180, 180);

    },

    /**
    * Keeps an angle value between the given min and max values.
    *
    * @method Phaser.Math#angleLimit
    * @param {number} angle - The angle value to check. Must be between -180 and +180.
    * @param {number} min - The minimum angle that is allowed (must be -180 or greater).
    * @param {number} max - The maximum angle that is allowed (must be 180 or less).
    *
    * @return {number} The new angle value, returns the same as the input angle if it was within bounds
    */
    angleLimit: function (angle, min, max) {

        var result = angle;

        if (angle > max)
        {
            result = max;
        }
        else if (angle &lt; min)
        {
            result = min;
        }

        return result;

    },

    /**
    * A Linear Interpolation Method, mostly used by Phaser.Tween.
    * @method Phaser.Math#linearInterpolation
    * @param {number} v
    * @param {number} k
    * @return {number} 
    */
    linearInterpolation: function (v, k) {

        var m = v.length - 1;
        var f = m * k;
        var i = Math.floor(f);

        if (k &lt; 0)
        {
            return this.linear(v[0], v[1], f);
        }

        if (k > 1)
        {
            return this.linear(v[m], v[m - 1], m - f);
        }

        return this.linear(v[i], v[i + 1 > m ? m : i + 1], f - i);

    },

    /**
    * A Bezier Interpolation Method, mostly used by Phaser.Tween.
    * @method Phaser.Math#bezierInterpolation
    * @param {number} v
    * @param {number} k
    * @return {number}
    */
    bezierInterpolation: function (v, k) {

        var b = 0;
        var n = v.length - 1;

        for (var i = 0; i &lt;= n; i++)
        {
            b += Math.pow(1 - k, n - i) * Math.pow(k, i) * v[i] * this.bernstein(n, i);
        }

        return b;

    },

    /**
    * A Catmull Rom Interpolation Method, mostly used by Phaser.Tween.
    * @method Phaser.Math#catmullRomInterpolation
    * @param {number} v
    * @param {number} k
    * @return {number}
    */
    catmullRomInterpolation: function (v, k) {

        var m = v.length - 1;
        var f = m * k;
        var i = Math.floor(f);

        if (v[0] === v[m])
        {
            if (k &lt; 0)
            {
                i = Math.floor(f = m * (1 + k));
            }

            return this.catmullRom(v[(i - 1 + m) % m], v[i], v[(i + 1) % m], v[(i + 2) % m], f - i);

        }
        else
        {
            if (k &lt; 0)
            {
                return v[0] - (this.catmullRom(v[0], v[0], v[1], v[1], -f) - v[0]);
            }

            if (k > 1)
            {
                return v[m] - (this.catmullRom(v[m], v[m], v[m - 1], v[m - 1], f - m) - v[m]);
            }

            return this.catmullRom(v[i ? i - 1 : 0], v[i], v[m &lt; i + 1 ? m : i + 1], v[m &lt; i + 2 ? m : i + 2], f - i);
        }

    },

    /**
    * Description.
    * @method Phaser.Math#Linear
    * @param {number} p0
    * @param {number} p1
    * @param {number} t
    * @return {number}
    */
    linear: function (p0, p1, t) {
        return (p1 - p0) * t + p0;
    },

    /**
    * @method Phaser.Math#bernstein
    * @param {number} n
    * @param {number} i
    * @return {number}
    */
    bernstein: function (n, i) {
        return this.factorial(n) / this.factorial(i) / this.factorial(n - i);
    },

    /**
    * Description.
    * @method Phaser.Math#catmullRom
    * @param {number} p0
    * @param {number} p1
    * @param {number} p2
    * @param {number} p3
    * @param {number} t
    * @return {number} 
    */
    catmullRom: function (p0, p1, p2, p3, t) {

        var v0 = (p2 - p0) * 0.5, v1 = (p3 - p1) * 0.5, t2 = t * t, t3 = t * t2;

        return (2 * p1 - 2 * p2 + v0 + v1) * t3 + (-3 * p1 + 3 * p2 - 2 * v0 - v1) * t2 + v0 * t + p1;

    },

    /**
    * @method Phaser.Math#difference
    * @param {number} a
    * @param {number} b
    * @return {number}
    */
    difference: function (a, b) {
        return Math.abs(a - b);
    },

    /**
    * Fetch a random entry from the given array.
    * Will return null if random selection is missing, or array has no entries.
    *
    * @method Phaser.Math#getRandom
    * @param {array} objects - An array of objects.
    * @param {number} startIndex - Optional offset off the front of the array. Default value is 0, or the beginning of the array.
    * @param {number} length - Optional restriction on the number of values you want to randomly select from.
    * @return {object} The random object that was selected.
    */
    getRandom: function (objects, startIndex, length) {

        if (typeof startIndex === "undefined") { startIndex = 0; }
        if (typeof length === "undefined") { length = 0; }
        
        if (objects != null) {

            var l = length;

            if ((l === 0) || (l > objects.length - startIndex))
            {
                l = objects.length - startIndex;
            }

            if (l > 0)
            {
                return objects[startIndex + Math.floor(Math.random() * l)];
            }
        }

        return null;

    },

    /**
    * Round down to the next whole number. E.g. floor(1.7) == 1, and floor(-2.7) == -2.
    *
    * @method Phaser.Math#floor
    * @param {number} Value Any number.
    * @return {number} The rounded value of that number.
    */
    floor: function (value) {

        var n = value | 0;

        return (value > 0) ? (n) : ((n != value) ? (n - 1) : (n));

    },

    /**
    * Round up to the next whole number.  E.g. ceil(1.3) == 2, and ceil(-2.3) == -3.
    *
    * @method Phaser.Math#ceil
    * @param {number} value - Any number.
    * @return {number} The rounded value of that number.
    */
    ceil: function (value) {
        var n = value | 0;
        return (value > 0) ? ((n != value) ? (n + 1) : (n)) : (n);
    },

    /**
    * Generate a sine and cosine table simultaneously and extremely quickly. Based on research by Franky of scene.at
    * &lt;p>
    * The parameters allow you to specify the length, amplitude and frequency of the wave. Once you have called this function
    * you should get the results via getSinTable() and getCosTable(). This generator is fast enough to be used in real-time.
    * &lt;/p>
    * @method Phaser.Math#sinCosGenerator
    * @param {number} length - The length of the wave
    * @param {number} sinAmplitude - The amplitude to apply to the sine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
    * @param {number} cosAmplitude - The amplitude to apply to the cosine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
    * @param {number} frequency  - The frequency of the sine and cosine table data
    * @return {Array} Returns the sine table
    */
    sinCosGenerator: function (length, sinAmplitude, cosAmplitude, frequency) {

        if (typeof sinAmplitude === "undefined") { sinAmplitude = 1.0; }
        if (typeof cosAmplitude === "undefined") { cosAmplitude = 1.0; }
        if (typeof frequency === "undefined") { frequency = 1.0; }
        
        var sin = sinAmplitude;
        var cos = cosAmplitude;
        var frq = frequency * Math.PI / length;
        
        var cosTable = [];
        var sinTable = [];
        
        for (var c = 0; c &lt; length; c++) {

            cos -= sin * frq;
            sin += cos * frq;

            cosTable[c] = cos;
            sinTable[c] = sin;

        }

        return { sin: sinTable, cos: cosTable, length: length };

    },

    /**
    * Removes the top element from the stack and re-inserts it onto the bottom, then returns it.
    * The original stack is modified in the process. This effectively moves the position of the data from the start to the end of the table.
    * 
    * @method Phaser.Math#shift
    * @param {array} stack - The array to shift.
    * @return {any} The shifted value.
    */
    shift: function (stack) {

        var s = stack.shift();
        stack.push(s);

        return s;

    },

    /**
    * Shuffles the data in the given array into a new order
    * @method Phaser.Math#shuffleArray
    * @param {array} array - The array to shuffle
    * @return {array} The array
    */
    shuffleArray: function (array) {

        for (var i = array.length - 1; i > 0; i--) {

            var j = Math.floor(Math.random() * (i + 1));
            var temp = array[i];
            array[i] = array[j];
            array[j] = temp;
        }

        return array;

    },

    /**
    * Returns the distance between the two given set of coordinates.
    * 
    * @method Phaser.Math#distance
    * @param {number} x1
    * @param {number} y1
    * @param {number} x2
    * @param {number} y2
    * @return {number} The distance between the two sets of coordinates.
    */
    distance: function (x1, y1, x2, y2) {

        var dx = x1 - x2;
        var dy = y1 - y2;

        return Math.sqrt(dx * dx + dy * dy);

    },

    /**
    * Returns the distance between the two given set of coordinates at the power given.
    * 
    * @method Phaser.Math#distancePow
    * @param {number} x1
    * @param {number} y1
    * @param {number} x2
    * @param {number} y2
    * @param {number} [pow=2]
    * @return {number} The distance between the two sets of coordinates.
    */
    distancePow: function (x1, y1, x2, y2, pow) {

        if (typeof pow === 'undefined') { pow = 2; }

        return Math.sqrt(Math.pow(x2 - x1, pow) + Math.pow(y2 - y1, pow));

    },

    /**
    * Returns the rounded distance between the two given set of coordinates.
    * 
    * @method Phaser.Math#distanceRounded
    * @param {number} x1
    * @param {number} y1
    * @param {number} x2
    * @param {number} y2
    * @return {number} The distance between this Point object and the destination Point object.
    */
    distanceRounded: function (x1, y1, x2, y2) {

        return Math.round(Phaser.Math.distance(x1, y1, x2, y2));

    },

    /**
    * Force a value within the boundaries of two values.
    * Clamp value to range &lt;a, b>
    * 
    * @method Phaser.Math#clamp
    * @param {number} x
    * @param {number} a
    * @param {number} b
    * @return {number}
    */
    clamp: function ( x, a, b ) {

        return ( x &lt; a ) ? a : ( ( x > b ) ? b : x );

    },
 
    /**
    * Clamp value to range &lt;a, inf).
    * 
    * @method Phaser.Math#clampBottom
    * @param {number} x
    * @param {number} a
    * @return {number}
    */
    clampBottom: function ( x, a ) {

        return x &lt; a ? a : x;

    },

    /**
    * Checks if two values are within the given tolerance of each other.
    * 
    * @method Phaser.Math#within
    * @param {number} a - The first number to check
    * @param {number} b - The second number to check
    * @param {number} tolerance - The tolerance. Anything equal to or less than this is considered within the range.
    * @return {boolean} True if a is &lt;= tolerance of b.
    */
    within: function ( a, b, tolerance ) {

        return (Math.abs(a - b) &lt;= tolerance);

    },
 
    /**
    * Linear mapping from range &lt;a1, a2> to range &lt;b1, b2>
    * 
    * @method Phaser.Math#mapLinear
    * @param {number} x
    * @param {number} a1
    * @param {number} a1
    * @param {number} a2
    * @param {number} b1
    * @param {number} b2
    * @return {number}
    */
    mapLinear: function ( x, a1, a2, b1, b2 ) {

        return b1 + ( x - a1 ) * ( b2 - b1 ) / ( a2 - a1 );

    },

    /**
    * Smoothstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep
    * 
    * @method Phaser.Math#smoothstep
    * @param {number} x
    * @param {number} min
    * @param {number} max
    * @return {number}
    */
    smoothstep: function ( x, min, max ) {

        if (x &lt;= min)
        {
            return 0;
        }

        if (x >= max)
        {
            return 1;
        }

        x = (x - min) / (max - min);

        return x * x * (3 - 2 * x);

    },

    /**
    * Smootherstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep
    * 
    * @method Phaser.Math#smootherstep
    * @param {number} x
    * @param {number} min
    * @param {number} max
    * @return {number}
    */
    smootherstep: function ( x, min, max ) {

        if (x &lt;= min)
        {
            return 0;
        }

        if (x >= max)
        {
            return 1;
        }

        x = (x - min) / (max - min);

        return x * x * x * (x * (x * 6 - 15) + 10);

    },

    /**
    * A value representing the sign of the value.
    * -1 for negative, +1 for positive, 0 if value is 0
    * 
    * @method Phaser.Math#sign
    * @param {number} x
    * @return {number}
    */
    sign: function ( x ) {

        return ( x &lt; 0 ) ? -1 : ( ( x > 0 ) ? 1 : 0 );

    },

    /**
    * Convert degrees to radians.
    * 
    * @method Phaser.Math#degToRad
    * @return {function}
    */
    degToRad: function() {

        var degreeToRadiansFactor = Math.PI / 180;

        return function ( degrees ) {

            return degrees * degreeToRadiansFactor;

        };

    }(),

    /**
    * Convert degrees to radians.
    * 
    * @method Phaser.Math#radToDeg
    * @return {function}
    */
    radToDeg: function() {

        var radianToDegreesFactor = 180 / Math.PI;

        return function ( radians ) {

            return radians * radianToDegreesFactor;

        };

    }()

};
</pre>
        </article>
    </section>





				</div>

				<div class="clearfix"></div>
				<footer>
					
					
		<span class="copyright">
		Phaser Copyright © 2012-2014 Photon Storm Ltd.
		</span>
					<br />
					
		<span class="jsdoc-message">
		Documentation generated by <a href="https://github.com/jsdoc3/jsdoc">JSDoc 3.3.0-dev</a>
		on Sat Feb 08 2014 07:19:40 GMT-0000 (GMT) using the <a href="https://github.com/terryweiss/docstrap">DocStrap template</a>.
		</span>
				</footer>
			</div>

			
			<br clear="both">
		</div>

	</div>
	<script src="scripts/sunlight.js"></script>
	<script src="scripts/sunlight.javascript.js"></script>
	<script src="scripts/sunlight-plugin.doclinks.js"></script>
	<script src="scripts/sunlight-plugin.linenumbers.js"></script>
	<script src="scripts/sunlight-plugin.menu.js"></script>
	<script src="scripts/jquery.min.js"></script>
	<script src="scripts/jquery.scrollTo.js"></script>
	<script src="scripts/jquery.localScroll.js"></script>
	<script src="scripts/bootstrap-dropdown.js"></script>
	<script src="scripts/toc.js"></script>


	<script>  Sunlight.highlightAll({lineNumbers:true,  showMenu: true, enableDoclinks :true}); </script>

	<script>
		$( function () {
			$( "#toc" ).toc( {
				selectors   : "h1,h2,h3,h4",
				showAndHide : false,
				scrollTo    : 60
			} );
			$( "#toc>ul" ).addClass( "nav nav-pills nav-stacked" );
			$( "#main span[id^='toc']" ).addClass( "toc-shim" );

		} );
	</script>

	

</body>
</html>