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2014-03-14 06:36:05 +00:00
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2014-09-09 14:36:56 +00:00
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2014-03-14 06:36:05 +00:00
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2013-10-02 14:05:55 +00:00
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2013-10-02 14:05:55 +00:00
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2014-04-10 22:13:43 +00:00
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2013-11-07 06:10:15 +00:00
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2014-04-10 22:13:43 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-02 14:05:55 +00:00
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2013-10-02 14:05:55 +00:00
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2013-10-25 15:54:40 +00:00
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2013-10-03 00:21:08 +00:00
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2014-04-10 22:13:43 +00:00
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2014-03-14 06:36:05 +00:00
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2014-09-09 14:36:56 +00:00
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2014-04-10 22:13:43 +00:00
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2014-03-14 06:36:05 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-02 14:05:55 +00:00
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2014-04-11 12:09:28 +00:00
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2014-02-05 06:29:17 +00:00
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2013-10-03 00:21:08 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-03 00:21:08 +00:00
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2013-10-25 15:54:40 +00:00
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2014-02-18 03:01:51 +00:00
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2013-10-02 14:05:55 +00:00
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2013-10-02 14:05:55 +00:00
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2013-10-25 15:54:40 +00:00
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2013-11-28 15:57:09 +00:00
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2013-11-28 15:57:09 +00:00
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2013-11-28 15:57:09 +00:00
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2013-11-28 15:57:09 +00:00
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2014-04-10 22:13:43 +00:00
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2013-11-28 15:57:09 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-25 15:54:40 +00:00
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2013-10-03 01:38:35 +00:00
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2013-11-28 15:57:09 +00:00
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2014-02-05 06:29:17 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-02 14:05:55 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-03 01:38:35 +00:00
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2014-11-25 00:23:44 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-03 01:38:35 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-03 01:38:35 +00:00
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2014-04-10 22:13:43 +00:00
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2013-10-03 01:38:35 +00:00
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2014-04-10 22:13:43 +00:00
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2015-07-22 14:31:30 +00:00
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2016-06-17 00:11:24 +00:00
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2014-11-15 20:01:46 +00:00
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2015-07-22 14:31:30 +00:00
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2015-07-22 14:31:30 +00:00
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2016-07-01 15:57:13 +00:00
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< a href = "global.html#ANGLE_LEFT" > ANGLE_LEFT< / a >
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< a href = "global.html#ANGLE_NORTH_EAST" > ANGLE_NORTH_EAST< / a >
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< a href = "global.html#ANGLE_NORTH_WEST" > ANGLE_NORTH_WEST< / a >
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< a href = "global.html#ANGLE_RIGHT" > ANGLE_RIGHT< / a >
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< a href = "global.html#ANGLE_SOUTH_EAST" > ANGLE_SOUTH_EAST< / a >
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< a href = "global.html#ANGLE_UP" > ANGLE_UP< / a >
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< a href = "global.html#BOTTOM_CENTER" > BOTTOM_CENTER< / a >
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< a href = "global.html#DOWN" > DOWN< / a >
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< a href = "global.html#ELLIPSE" > ELLIPSE< / a >
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< a href = "global.html#listeners" > listeners< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#MATRIX" > MATRIX< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#mixin" > mixin< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#NONE" > NONE< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#off" > off< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#on" > on< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#once" > once< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#PENDING_ATLAS" > PENDING_ATLAS< / a >
< / li >
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< li class = "class-depth-2" >
< a href = "global.html#Phaser.Path#numPointsreturn%257Bnumber%257DThetotalnumberofPathPointsinthisPath." > Phaser.Path#numPoints
return {number} The total number of PathPoints in this Path.< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#POINT" > POINT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#POINTER" > POINTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#POLYGON" > POLYGON< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#PORTRAIT" > PORTRAIT< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#RECTANGLE" > RECTANGLE< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#removeAllListeners" > removeAllListeners< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#RENDERTEXTURE" > RENDERTEXTURE< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#RETROFONT" > RETROFONT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#RIGHT" > RIGHT< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#RIGHT_BOTTOM" > RIGHT_BOTTOM< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#RIGHT_CENTER" > RIGHT_CENTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#RIGHT_TOP" > RIGHT_TOP< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#ROPE" > ROPE< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ROUNDEDRECTANGLE" > ROUNDEDRECTANGLE< / a >
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< / li >
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< li class = "class-depth-0" >
< a href = "global.html#scaleModes" > scaleModes< / a >
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< / li >
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< li class = "class-depth-0" >
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< a href = "global.html#SPRITE" > SPRITE< / a >
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< / li >
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< li class = "class-depth-0" >
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< a href = "global.html#SPRITEBATCH" > SPRITEBATCH< / a >
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< / li >
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< li class = "class-depth-0" >
< a href = "global.html#stopImmediatePropagation" > stopImmediatePropagation< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#stopPropagation" > stopPropagation< / a >
< / li >
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< li class = "class-depth-0" >
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< a href = "global.html#TEXT" > TEXT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TILEMAP" > TILEMAP< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TILEMAPLAYER" > TILEMAPLAYER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TILESPRITE" > TILESPRITE< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#TOP_CENTER" > TOP_CENTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TOP_LEFT" > TOP_LEFT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TOP_RIGHT" > TOP_RIGHT< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#UP" > UP< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#VERSION" > VERSION< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#VERTICAL" > VERTICAL< / a >
< / li >
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< li class = "class-depth-0" >
< a href = "global.html#VIDEO" > VIDEO< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#WEBGL" > WEBGL< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#WEBGL_FILTER" > WEBGL_FILTER< / a >
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< / li >
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< / ul >
< / li >
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< li class = "dropdown" >
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< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Core< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
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< li class = "class-depth-1" > < a href = "Phaser.Game.html" > Game< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Group.html" > Group< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.World.html" > World< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Loader.html" > Loader< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Cache.html" > Cache< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Time.html" > Time< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Camera.html" > Camera< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.StateManager.html" > State Manager< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.TweenManager.html" > Tween Manager< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.SoundManager.html" > Sound Manager< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Input.html" > Input Manager< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.ScaleManager.html" > Scale Manager< / a > < / li >
< / ul >
< / li >
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< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Game Objects< b class = "caret" > < / b > < / a >
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< ul class = "dropdown-menu " >
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< li class = "class-depth-1" > < a href = "Phaser.GameObjectFactory.html" > Factory (game.add)< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.GameObjectCreator.html" > Creator (game.make)< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Sprite.html" > Sprite< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Image.html" > Image< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Sound.html" > Sound< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Video.html" > Video< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Particles.Arcade.Emitter.html" > Particle Emitter< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Particle.html" > Particle< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Text.html" > Text< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Tween.html" > Tween< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.BitmapText.html" > BitmapText< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Tilemap.html" > Tilemap< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.BitmapData.html" > BitmapData< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.RetroFont.html" > RetroFont< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Button.html" > Button< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Animation.html" > Animation< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Graphics.html" > Graphics< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.RenderTexture.html" > RenderTexture< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.TileSprite.html" > TileSprite< / a > < / li >
< / ul >
< / li >
< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Geometry< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
< li class = "class-depth-1" > < a href = "Phaser.Circle.html" > Circle< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Ellipse.html" > Ellipse< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Line.html" > Line< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Matrix.html" > Matrix< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Point.html" > Point< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Polygon.html" > Polygon< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Rectangle.html" > Rectangle< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.RoundedRectangle.html" > Rounded Rectangle< / a > < / li >
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< / ul >
< / li >
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< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Physics< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
< li class = "class-depth-1" > < a href = "Phaser.Physics.Arcade.html" > Arcade Physics< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.Arcade.Body.html" > Body< / a > < / li >
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< li class = "class-depth-2" > < a href = "Phaser.Weapon.html" > Weapon< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Physics.P2.html" > P2 Physics< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.P2.Body.html" > Body< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.P2.Spring.html" > Spring< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.P2.CollisionGroup.html" > CollisionGroup< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.P2.ContactMaterial.html" > ContactMaterial< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Physics.Ninja.html" > Ninja Physics< / a > < / li >
< li class = "class-depth-2" > < a href = "Phaser.Physics.Body.html" > Body< / a > < / li >
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< / ul >
< / li >
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< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Input< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
< li class = "class-depth-1" > < a href = "Phaser.InputHandler.html" > Input Handler< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Pointer.html" > Pointer< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.DeviceButton.html" > Device Button< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Mouse.html" > Mouse< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Keyboard.html" > Keyboard< / a > < / li >
< li class = "class-depth-1" > < a href = "Phaser.Key.html" > Key< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.KeyCode.html" > Key Codes< / a > < / li >
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< li class = "class-depth-1" > < a href = "Phaser.Gamepad.html" > Gamepad< / a > < / li >
< / ul >
< / li >
< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Community< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
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< li class = "class-depth-1" > < a href = "http://phaser.io" > Phaser Web Site< / a > < / li >
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< li class = "class-depth-1" > < a href = "https://github.com/photonstorm/phaser" > Phaser Github< / a > < / li >
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< li class = "class-depth-1" > < a href = "http://phaser.io/examples" > Phaser Examples< / a > < / li >
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< li class = "class-depth-1" > < a href = "https://github.com/photonstorm/phaser-plugins" > Phaser Plugins< / a > < / li >
< li class = "class-depth-1" > < a href = "http://www.html5gamedevs.com/forum/14-phaser/" > Forum< / a > < / li >
< li class = "class-depth-1" > < a href = "http://stackoverflow.com/questions/tagged/phaser-framework" > Stack Overflow< / a > < / li >
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< li class = "class-depth-1" > < a href = "http://phaser.io/learn" > Tutorials< / a > < / li >
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< li class = "class-depth-1" > < a href = "http://phaser.io/community/newsletter" > Newsletter< / a > < / li >
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< li class = "class-depth-1" > < a href = "http://phaser.io/community/twitter" > Twitter< / a > < / li >
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< li class = "class-depth-1" > < a href = "http://phaser.io/community/slack" > Slack< / a > < / li >
< li class = "class-depth-1" > < a href = "http://phaser.io/community/donate" > Donate< / a > < / li >
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< li class = "class-depth-1" > < a href = "https://www.codeandweb.com/texturepacker/phaser" > Texture Packer< / a > < / li >
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< / ul >
< / li >
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< / ul >
< / div >
< / div >
< div class = "row-fluid" >
< div class = "span12" >
< div id = "main" >
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< h1 class = "page-title" > Source: src/math/Math.js< / h1 >
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< section >
< article >
< pre class = "sunlight-highlight-javascript linenums" > /**
* @author Richard Davey < rich@photonstorm.com>
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* @copyright 2016 Photon Storm Ltd.
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* @license {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License}
*/
/**
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* A collection of useful mathematical functions.
*
* These are normally accessed through `game.math`.
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*
* @class Phaser.Math
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* @static
* @see {@link Phaser.Utils}
* @see {@link Phaser.ArrayUtils}
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*/
Phaser.Math = {
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/**
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* Twice PI.
* @property {number} Phaser.Math#PI2
* @default ~6.283
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*/
PI2: Math.PI * 2,
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/**
* Returns a number between the `min` and `max` values.
*
* @method Phaser.Math#between
* @param {number} min - The minimum value. Must be positive, and less than 'max'.
* @param {number} max - The maximum value. Must be position, and greater than 'min'.
* @return {number} A value between the range min to max.
*/
between: function (min, max) {
return Math.floor(Math.random() * (max - min + 1) + min);
},
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/**
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* Two number are fuzzyEqual if their difference is less than epsilon.
*
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* @method Phaser.Math#fuzzyEqual
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* @param {number} a - The first number to compare.
* @param {number} b - The second number to compare.
* @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation)
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* @return {boolean} True if |a-b|< epsilon
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*/
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fuzzyEqual: function (a, b, epsilon) {
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if (epsilon === undefined) { epsilon = 0.0001; }
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return Math.abs(a - b) < epsilon;
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},
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/**
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* `a` is fuzzyLessThan `b` if it is less than b + epsilon.
*
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* @method Phaser.Math#fuzzyLessThan
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* @param {number} a - The first number to compare.
* @param {number} b - The second number to compare.
* @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation)
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* @return {boolean} True if a< b+epsilon
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*/
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fuzzyLessThan: function (a, b, epsilon) {
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if (epsilon === undefined) { epsilon = 0.0001; }
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return a < b + epsilon;
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},
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/**
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* `a` is fuzzyGreaterThan `b` if it is more than b - epsilon.
*
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* @method Phaser.Math#fuzzyGreaterThan
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* @param {number} a - The first number to compare.
* @param {number} b - The second number to compare.
* @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation)
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* @return {boolean} True if a>b+epsilon
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*/
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fuzzyGreaterThan: function (a, b, epsilon) {
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if (epsilon === undefined) { epsilon = 0.0001; }
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return a > b - epsilon;
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},
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/**
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* Applies a fuzzy ceil to the given value.
*
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* @method Phaser.Math#fuzzyCeil
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* @param {number} val - The value to ceil.
* @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation)
* @return {number} ceiling(val-epsilon)
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*/
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fuzzyCeil: function (val, epsilon) {
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if (epsilon === undefined) { epsilon = 0.0001; }
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return Math.ceil(val - epsilon);
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},
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/**
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* Applies a fuzzy floor to the given value.
*
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* @method Phaser.Math#fuzzyFloor
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* @param {number} val - The value to floor.
* @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation)
* @return {number} floor(val+epsilon)
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*/
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fuzzyFloor: function (val, epsilon) {
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if (epsilon === undefined) { epsilon = 0.0001; }
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return Math.floor(val + epsilon);
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},
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/**
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* Averages all values passed to the function and returns the result.
*
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* @method Phaser.Math#average
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* @params {...number} The numbers to average
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* @return {number} The average of all given values.
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*/
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average: function () {
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var sum = 0;
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var len = arguments.length;
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for (var i = 0; i < len; i++)
{
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sum += (+arguments[i]);
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}
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return sum / len;
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},
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/**
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* @method Phaser.Math#shear
* @param {number} n
* @return {number} n mod 1
*/
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shear: function (n) {
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return n % 1;
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},
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/**
* 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.
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* @param {number} [start=0] - Optional starting offset for gap.
* @return {number} The snapped value.
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*/
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snapTo: function (input, gap, start) {
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if (start === undefined) { start = 0; }
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if (gap === 0) {
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return input;
}
input -= start;
input = gap * Math.round(input / gap);
return start + input;
},
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/**
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* Snap a value to nearest grid slice, using floor.
*
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* Example: if you have an interval gap of 5 and a position of 12... you will snap to 10.
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* As will 14 snap to 10... but 16 will snap to 15.
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*
* @method Phaser.Math#snapToFloor
* @param {number} input - The value to snap.
* @param {number} gap - The interval gap of the grid.
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* @param {number} [start=0] - Optional starting offset for gap.
* @return {number} The snapped value.
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*/
snapToFloor: function (input, gap, start) {
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if (start === undefined) { start = 0; }
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if (gap === 0) {
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return input;
}
input -= start;
input = gap * Math.floor(input / gap);
return start + input;
},
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/**
* Snap a value to nearest grid slice, using ceil.
*
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* 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.
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*
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* @method Phaser.Math#snapToCeil
* @param {number} input - The value to snap.
* @param {number} gap - The interval gap of the grid.
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* @param {number} [start=0] - Optional starting offset for gap.
* @return {number} The snapped value.
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*/
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snapToCeil: function (input, gap, start) {
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if (start === undefined) { start = 0; }
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if (gap === 0) {
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return input;
}
input -= start;
input = gap * Math.ceil(input / gap);
return start + input;
},
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/**
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* Round to some place comparative to a `base`, default is 10 for decimal place.
* The `place` is represented by the power applied to `base` to get that place.
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*
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* e.g. 2000/7 ~= 285.714285714285714285714 ~= (bin)100011101.1011011011011011
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*
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* 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
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*
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* 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
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*
* 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.
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*
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* @method Phaser.Math#roundTo
* @param {number} value - The value to round.
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* @param {number} [place=0] - The place to round to.
* @param {number} [base=10] - The base to round in. Default is 10 for decimal.
* @return {number} The rounded value.
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*/
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roundTo: function (value, place, base) {
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if (place === undefined) { place = 0; }
if (base === undefined) { base = 10; }
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var p = Math.pow(base, -place);
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return Math.round(value * p) / p;
},
/**
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* Floors to some place comparative to a `base`, default is 10 for decimal place.
* The `place` is represented by the power applied to `base` to get that place.
*
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* @method Phaser.Math#floorTo
* @param {number} value - The value to round.
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* @param {number} [place=0] - The place to round to.
* @param {number} [base=10] - The base to round in. Default is 10 for decimal.
* @return {number} The rounded value.
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*/
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floorTo: function (value, place, base) {
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if (place === undefined) { place = 0; }
if (base === undefined) { base = 10; }
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var p = Math.pow(base, -place);
return Math.floor(value * p) / p;
},
/**
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* Ceils to some place comparative to a `base`, default is 10 for decimal place.
* The `place` is represented by the power applied to `base` to get that place.
*
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* @method Phaser.Math#ceilTo
* @param {number} value - The value to round.
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* @param {number} [place=0] - The place to round to.
* @param {number} [base=10] - The base to round in. Default is 10 for decimal.
* @return {number} The rounded value.
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*/
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ceilTo: function (value, place, base) {
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if (place === undefined) { place = 0; }
if (base === undefined) { base = 10; }
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var p = Math.pow(base, -place);
return Math.ceil(value * p) / p;
},
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/**
* Rotates currentAngle towards targetAngle, taking the shortest rotation distance.
* The lerp argument is the amount to rotate by in this call.
*
* @method Phaser.Math#rotateToAngle
* @param {number} currentAngle - The current angle, in radians.
* @param {number} targetAngle - The target angle to rotate to, in radians.
* @param {number} [lerp=0.05] - The lerp value to add to the current angle.
* @return {number} The adjusted angle.
*/
rotateToAngle: function (currentAngle, targetAngle, lerp) {
if (lerp === undefined) { lerp = 0.05; }
if (currentAngle === targetAngle)
{
return currentAngle;
}
if (Math.abs(targetAngle - currentAngle) < = lerp || Math.abs(targetAngle - currentAngle) >= (Phaser.Math.PI2 - lerp))
{
currentAngle = targetAngle;
}
else
{
if (Math.abs(targetAngle - currentAngle) > Math.PI)
{
if (targetAngle < currentAngle)
{
targetAngle += Phaser.Math.PI2;
}
else
{
targetAngle -= Phaser.Math.PI2;
}
}
if (targetAngle > currentAngle)
{
currentAngle += lerp;
}
else if (targetAngle < currentAngle)
{
currentAngle -= lerp;
}
}
return currentAngle;
},
/**
* Gets the shortest angle between `angle1` and `angle2`.
* Both angles must be in the range -180 to 180, which is the same clamped
* range that `sprite.angle` uses, so you can pass in two sprite angles to
* this method, and get the shortest angle back between the two of them.
*
* The angle returned will be in the same range. If the returned angle is
* greater than 0 then it's a counter-clockwise rotation, if < 0 then it's
* a clockwise rotation.
*
* @method Phaser.Math#getShortestAngle
* @param {number} angle1 - The first angle. In the range -180 to 180.
* @param {number} angle2 - The second angle. In the range -180 to 180.
* @return {number} The shortest angle, in degrees. If greater than zero it's a counter-clockwise rotation.
*/
getShortestAngle: function (angle1, angle2) {
var difference = angle2 - angle1;
if (difference === 0)
{
return 0;
}
var times = Math.floor((difference - (-180)) / 360);
return difference - (times * 360);
},
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/**
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* Find the angle of a segment from (x1, y1) -> (x2, y2).
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*
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* @method Phaser.Math#angleBetween
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* @param {number} x1 - The x coordinate of the first value.
* @param {number} y1 - The y coordinate of the first value.
* @param {number} x2 - The x coordinate of the second value.
* @param {number} y2 - The y coordinate of the second value.
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* @return {number} The angle, in radians.
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*/
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angleBetween: function (x1, y1, x2, y2) {
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return Math.atan2(y2 - y1, x2 - x1);
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},
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/**
* Find the angle of a segment from (x1, y1) -> (x2, y2).
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*
* The difference between this method and Math.angleBetween is that this assumes the y coordinate travels
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* down the screen.
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*
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* @method Phaser.Math#angleBetweenY
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* @param {number} x1 - The x coordinate of the first value.
* @param {number} y1 - The y coordinate of the first value.
* @param {number} x2 - The x coordinate of the second value.
* @param {number} y2 - The y coordinate of the second value.
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* @return {number} The angle, in radians.
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*/
angleBetweenY: function (x1, y1, x2, y2) {
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return Math.atan2(x2 - x1, y2 - y1);
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},
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/**
* Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y).
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*
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* @method Phaser.Math#angleBetweenPoints
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* @param {Phaser.Point} point1 - The first point.
* @param {Phaser.Point} point2 - The second point.
* @return {number} The angle between the two points, in radians.
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*/
angleBetweenPoints: function (point1, point2) {
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return Math.atan2(point2.y - point1.y, point2.x - point1.x);
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},
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/**
* Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y).
* @method Phaser.Math#angleBetweenPointsY
* @param {Phaser.Point} point1
* @param {Phaser.Point} point2
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* @return {number} The angle, in radians.
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*/
angleBetweenPointsY: function (point1, point2) {
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return Math.atan2(point2.x - point1.x, point2.y - point1.y);
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},
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/**
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* Reverses an angle.
* @method Phaser.Math#reverseAngle
* @param {number} angleRad - The angle to reverse, in radians.
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* @return {number} The reverse angle, in radians.
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*/
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reverseAngle: function (angleRad) {
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return this.normalizeAngle(angleRad + Math.PI, true);
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},
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/**
* Normalizes an angle to the [0,2pi) range.
* @method Phaser.Math#normalizeAngle
* @param {number} angleRad - The angle to normalize, in radians.
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* @return {number} The angle, fit within the [0,2pi] range, in radians.
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*/
normalizeAngle: function (angleRad) {
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angleRad = angleRad % (2 * Math.PI);
return angleRad >= 0 ? angleRad : angleRad + 2 * Math.PI;
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},
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/**
* 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.
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* @param {number} max - The maximum the value is allowed to be.
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* @return {number} The new value.
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*/
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maxAdd: function (value, amount, max) {
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return Math.min(value + amount, max);
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},
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/**
* 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.
*/
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minSub: function (value, amount, min) {
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return Math.max(value - amount, min);
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},
/**
* Ensures that the value always stays between min and max, by wrapping the value around.
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*
* If `max` is not larger than `min` the result is 0.
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*
* @method Phaser.Math#wrap
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* @param {number} value - The value to wrap.
* @param {number} min - The minimum the value is allowed to be.
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* @param {number} max - The maximum the value is allowed to be, should be larger than `min`.
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* @return {number} The wrapped value.
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*/
wrap: function (value, min, max) {
var range = max - min;
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if (range < = 0)
{
return 0;
}
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var result = (value - min) % range;
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if (result < 0)
{
result += range;
}
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return result + min;
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},
/**
* Adds value to amount and ensures that the result always stays between 0 and max, by wrapping the value around.
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*
* Values _must_ be positive integers, and are passed through Math.abs. See {@link Phaser.Math#wrap} for an alternative.
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*
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* @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.
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*/
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;
},
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/**
* Returns true if the number given is odd.
*
* @method Phaser.Math#isOdd
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* @param {integer} n - The number to check.
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* @return {boolean} True if the given number is odd. False if the given number is even.
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*/
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isOdd: function (n) {
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// Does not work with extremely large values
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return !!(n & 1);
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},
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/**
* Returns true if the number given is even.
*
* @method Phaser.Math#isEven
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* @param {integer} n - The number to check.
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* @return {boolean} True if the given number is even. False if the given number is odd.
*/
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isEven: function (n) {
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// Does not work with extremely large values
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return !(n & 1);
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},
/**
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* Variation of Math.min that can be passed either an array of numbers or the numbers as parameters.
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*
* Prefer the standard `Math.min` function when appropriate.
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*
* @method Phaser.Math#min
* @return {number} The lowest value from those given.
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* @see {@link http://jsperf.com/math-s-min-max-vs-homemade}
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*/
min: function () {
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if (arguments.length === 1 & & typeof arguments[0] === 'object')
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{
var data = arguments[0];
}
else
{
var data = arguments;
}
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for (var i = 1, min = 0, len = data.length; i < len; i++)
{
if (data[i] < data[min])
{
min = i;
}
}
return data[min];
},
/**
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* Variation of Math.max that can be passed either an array of numbers or the numbers as parameters.
*
* Prefer the standard `Math.max` function when appropriate.
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*
* @method Phaser.Math#max
* @return {number} The largest value from those given.
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* @see {@link http://jsperf.com/math-s-min-max-vs-homemade}
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*/
max: function () {
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if (arguments.length === 1 & & typeof arguments[0] === 'object')
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{
var data = arguments[0];
}
else
{
var data = arguments;
}
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for (var i = 1, max = 0, len = data.length; i < len; i++)
{
if (data[i] > data[max])
{
max = i;
}
}
return data[max];
},
/**
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* Variation of Math.min that can be passed a property and either an array of objects or the objects as parameters.
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* 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) {
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if (arguments.length === 2 & & typeof arguments[1] === 'object')
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{
var data = arguments[1];
}
else
{
var data = arguments.slice(1);
}
for (var i = 1, min = 0, len = data.length; i < len; i++)
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{
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if (data[i][property] < data[min][property])
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{
min = i;
}
}
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return data[min][property];
},
/**
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* Variation of Math.max that can be passed a property and either an array of objects or the objects as parameters.
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* 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) {
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if (arguments.length === 2 & & typeof arguments[1] === 'object')
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{
var data = arguments[1];
}
else
{
var data = arguments.slice(1);
}
for (var i = 1, max = 0, len = data.length; i < len; i++)
{
if (data[i][property] > data[max][property])
{
max = i;
}
}
return data[max][property];
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},
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/**
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* Keeps an angle value between -180 and +180; or -PI and PI if radians.
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*
* @method Phaser.Math#wrapAngle
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* @param {number} angle - The angle value to wrap
* @param {boolean} [radians=false] - Set to `true` if the angle is given in radians, otherwise degrees is expected.
* @return {number} The new angle value; will be the same as the input angle if it was within bounds.
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*/
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wrapAngle: function (angle, radians) {
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return radians ? this.wrap(angle, -Math.PI, Math.PI) : this.wrap(angle, -180, 180);
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},
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/**
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* A Linear Interpolation Method, mostly used by Phaser.Tween.
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*
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* @method Phaser.Math#linearInterpolation
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* @param {Array} v - The input array of values to interpolate between.
* @param {number} k - The percentage of interpolation, between 0 and 1.
* @return {number} The interpolated value
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*/
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linearInterpolation: function (v, k) {
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var m = v.length - 1;
var f = m * k;
var i = Math.floor(f);
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if (k < 0)
{
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return this.linear(v[0], v[1], f);
}
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if (k > 1)
{
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return this.linear(v[m], v[m - 1], m - f);
}
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return this.linear(v[i], v[i + 1 > m ? m : i + 1], f - i);
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},
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/**
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* A Bezier Interpolation Method, mostly used by Phaser.Tween.
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*
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* @method Phaser.Math#bezierInterpolation
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* @param {Array} v - The input array of values to interpolate between.
* @param {number} k - The percentage of interpolation, between 0 and 1.
* @return {number} The interpolated value
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*/
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bezierInterpolation: function (v, k) {
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var b = 0;
var n = v.length - 1;
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for (var i = 0; i < = n; i++)
{
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b += Math.pow(1 - k, n - i) * Math.pow(k, i) * v[i] * this.bernstein(n, i);
}
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return b;
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},
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/**
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* A Catmull Rom Interpolation Method, mostly used by Phaser.Tween.
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*
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* @method Phaser.Math#catmullRomInterpolation
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* @param {Array} v - The input array of values to interpolate between.
* @param {number} k - The percentage of interpolation, between 0 and 1.
* @return {number} The interpolated value
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*/
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catmullRomInterpolation: function (v, k) {
var m = v.length - 1;
var f = m * k;
var i = Math.floor(f);
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if (v[0] === v[m])
{
if (k < 0)
{
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i = Math.floor(f = m * (1 + k));
}
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return this.catmullRom(v[(i - 1 + m) % m], v[i], v[(i + 1) % m], v[(i + 2) % m], f - i);
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}
else
{
if (k < 0)
{
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return v[0] - (this.catmullRom(v[0], v[0], v[1], v[1], -f) - v[0]);
}
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if (k > 1)
{
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return v[m] - (this.catmullRom(v[m], v[m], v[m - 1], v[m - 1], f - m) - v[m]);
}
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return this.catmullRom(v[i ? i - 1 : 0], v[i], v[m < i + 1 ? m : i + 1], v[m < i + 2 ? m : i + 2], f - i);
}
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},
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/**
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* Calculates a linear (interpolation) value over t.
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*
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* @method Phaser.Math#linear
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* @param {number} p0
* @param {number} p1
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* @param {number} t - A value between 0 and 1.
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* @return {number}
*/
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linear: function (p0, p1, t) {
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return (p1 - p0) * t + p0;
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},
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/**
* @method Phaser.Math#bernstein
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* @protected
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* @param {number} n
* @param {number} i
* @return {number}
*/
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bernstein: function (n, i) {
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return this.factorial(n) / this.factorial(i) / this.factorial(n - i);
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},
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/**
* @method Phaser.Math#factorial
* @param {number} value - the number you want to evaluate
* @return {number}
*/
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factorial: function (value) {
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if (value === 0)
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{
return 1;
}
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var res = value;
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while(--value)
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{
res *= value;
}
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return res;
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},
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/**
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* Calculates a catmum rom value.
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*
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* @method Phaser.Math#catmullRom
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* @protected
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* @param {number} p0
* @param {number} p1
* @param {number} p2
* @param {number} p3
* @param {number} t
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* @return {number}
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*/
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catmullRom: function (p0, p1, p2, p3, t) {
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var v0 = (p2 - p0) * 0.5, v1 = (p3 - p1) * 0.5, t2 = t * t, t3 = t * t2;
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return (2 * p1 - 2 * p2 + v0 + v1) * t3 + (-3 * p1 + 3 * p2 - 2 * v0 - v1) * t2 + v0 * t + p1;
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},
/**
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* The absolute difference between two values.
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*
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* @method Phaser.Math#difference
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* @param {number} a - The first value to check.
* @param {number} b - The second value to check.
* @return {number} The absolute difference between the two values.
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*/
difference: function (a, b) {
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return Math.abs(a - b);
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},
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/**
* Round to the next whole number _away_ from zero.
*
* @method Phaser.Math#roundAwayFromZero
* @param {number} value - Any number.
* @return {integer} The rounded value of that number.
*/
roundAwayFromZero: function (value) {
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// "Opposite" of truncate.
return (value > 0) ? Math.ceil(value) : Math.floor(value);
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},
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/**
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* Generate a sine and cosine table simultaneously and extremely quickly.
* The parameters allow you to specify the length, amplitude and frequency of the wave.
* This generator is fast enough to be used in real-time.
* Code based on research by Franky of scene.at
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*
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* @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
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* @return {{sin:number[], cos:number[]}} Returns the table data.
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*/
sinCosGenerator: function (length, sinAmplitude, cosAmplitude, frequency) {
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if (sinAmplitude === undefined) { sinAmplitude = 1.0; }
if (cosAmplitude === undefined) { cosAmplitude = 1.0; }
if (frequency === undefined) { frequency = 1.0; }
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var sin = sinAmplitude;
var cos = cosAmplitude;
var frq = frequency * Math.PI / length;
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var cosTable = [];
var sinTable = [];
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for (var c = 0; c < length; c++) {
cos -= sin * frq;
sin += cos * frq;
cosTable[c] = cos;
sinTable[c] = sin;
}
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return { sin: sinTable, cos: cosTable, length: length };
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},
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/**
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* Returns the euclidian distance between the two given set of coordinates.
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*
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* @method Phaser.Math#distance
* @param {number} x1
* @param {number} y1
* @param {number} x2
* @param {number} y2
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* @return {number} The distance between the two sets of coordinates.
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*/
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distance: function (x1, y1, x2, y2) {
var dx = x1 - x2;
var dy = y1 - y2;
return Math.sqrt(dx * dx + dy * dy);
},
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/**
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* Returns the euclidean distance squared between the two given set of
* coordinates (cuts out a square root operation before returning).
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*
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* @method Phaser.Math#distanceSq
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* @param {number} x1
* @param {number} y1
* @param {number} x2
* @param {number} y2
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* @return {number} The distance squared between the two sets of coordinates.
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*/
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distanceSq: function (x1, y1, x2, y2) {
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var dx = x1 - x2;
var dy = y1 - y2;
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return dx * dx + dy * dy;
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},
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/**
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* Returns the distance between the two given set of coordinates at the power given.
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*
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* @method Phaser.Math#distancePow
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* @param {number} x1
* @param {number} y1
* @param {number} x2
* @param {number} y2
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* @param {number} [pow=2]
* @return {number} The distance between the two sets of coordinates.
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*/
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distancePow: function (x1, y1, x2, y2, pow) {
if (pow === undefined) { pow = 2; }
return Math.sqrt(Math.pow(x2 - x1, pow) + Math.pow(y2 - y1, pow));
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},
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/**
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* Force a value within the boundaries by clamping it to the range `min`, `max`.
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*
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* @method Phaser.Math#clamp
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* @param {float} v - The value to be clamped.
* @param {float} min - The minimum bounds.
* @param {float} max - The maximum bounds.
* @return {number} The clamped value.
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*/
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clamp: function (v, min, max) {
if (v < min)
{
return min;
}
else if (max < v)
{
return max;
}
else
{
return v;
}
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},
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/**
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* Clamp `x` to the range `[a, Infinity)`.
* Roughly the same as `Math.max(x, a)`, except for NaN handling.
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*
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* @method Phaser.Math#clampBottom
* @param {number} x
* @param {number} a
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* @return {number}
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*/
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clampBottom: function (x, a) {
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return x < a ? a : x;
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},
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/**
* Checks if two values are within the given tolerance of each other.
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*
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* @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 < = tolerance of b.
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* @see {@link Phaser.Math.fuzzyEqual}
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*/
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within: function (a, b, tolerance) {
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return (Math.abs(a - b) < = tolerance);
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},
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/**
* Linear mapping from range < a1, a2> to range < b1, b2>
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*
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* @method Phaser.Math#mapLinear
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* @param {number} x - The value to map
* @param {number} a1 - First endpoint of the range < a1, a2>
* @param {number} a2 - Final endpoint of the range < a1, a2>
* @param {number} b1 - First endpoint of the range < b1, b2>
* @param {number} b2 - Final endpoint of the range < b1, b2>
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* @return {number}
*/
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mapLinear: function (x, a1, a2, b1, b2) {
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return b1 + ( x - a1 ) * ( b2 - b1 ) / ( a2 - a1 );
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},
/**
* Smoothstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep
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*
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* @method Phaser.Math#smoothstep
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* @param {float} x - The input value.
* @param {float} min - The left edge. Should be smaller than the right edge.
* @param {float} max - The right edge.
* @return {float} A value between 0 and 1.
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*/
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smoothstep: function (x, min, max) {
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// Scale, bias and saturate x to 0..1 range
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x = Math.max(0, Math.min(1, (x - min) / (max - min)));
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// Evaluate polynomial
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return x * x * (3 - 2 * x);
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},
/**
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* Smootherstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep
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*
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* @method Phaser.Math#smootherstep
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* @param {float} x - The input value.
* @param {float} min - The left edge. Should be smaller than the right edge.
* @param {float} max - The right edge.
* @return {float} A value between 0 and 1.
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*/
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smootherstep: function (x, min, max) {
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x = Math.max(0, Math.min(1, (x - min) / (max - min)));
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return x * x * x * (x * (x * 6 - 15) + 10);
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},
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/**
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* A value representing the sign of the value: -1 for negative, +1 for positive, 0 if value is 0.
*
* This works differently from `Math.sign` for values of NaN and -0, etc.
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*
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* @method Phaser.Math#sign
* @param {number} x
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* @return {integer} An integer in {-1, 0, 1}
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*/
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sign: function (x) {
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return ( x < 0 ) ? -1 : ( ( x > 0 ) ? 1 : 0 );
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},
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/**
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* Work out what percentage value `a` is of value `b` using the given base.
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*
* @method Phaser.Math#percent
* @param {number} a - The value to work out the percentage for.
* @param {number} b - The value you wish to get the percentage of.
* @param {number} [base=0] - The base value.
* @return {number} The percentage a is of b, between 0 and 1.
*/
percent: function (a, b, base) {
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if (base === undefined) { base = 0; }
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if (a > b || base > b)
{
return 1;
}
else if (a < base || base > a)
{
return 0;
}
else
{
return (a - base) / b;
}
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}
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};
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var degreeToRadiansFactor = Math.PI / 180;
var radianToDegreesFactor = 180 / Math.PI;
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/**
* Convert degrees to radians.
*
* @method Phaser.Math#degToRad
* @param {number} degrees - Angle in degrees.
* @return {number} Angle in radians.
*/
Phaser.Math.degToRad = function degToRad (degrees) {
return degrees * degreeToRadiansFactor;
};
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/**
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* Convert radians to degrees.
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*
* @method Phaser.Math#radToDeg
* @param {number} radians - Angle in radians.
* @return {number} Angle in degrees
*/
Phaser.Math.radToDeg = function radToDeg (radians) {
return radians * radianToDegreesFactor;
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};
< / pre >
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