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< / li >
< li class = "class-depth-1" >
2015-07-22 14:31:30 +00:00
< a href = "Phaser.Video.html" > Video< / a >
2014-11-15 20:01:46 +00:00
< / li >
2016-06-17 00:11:24 +00:00
< li class = "class-depth-1" >
< a href = "Phaser.Weapon.html" > Weapon< / a >
< / li >
2014-11-15 20:01:46 +00:00
< li class = "class-depth-1" >
2015-07-22 14:31:30 +00:00
< a href = "Phaser.World.html" > World< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-07-22 14:31:30 +00:00
< a href = "PIXI.AbstractFilter.html" > AbstractFilter< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-07-22 14:31:30 +00:00
< a href = "PIXI.BaseTexture.html" > BaseTexture< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.CanvasBuffer.html" > CanvasBuffer< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.CanvasGraphics.html" > CanvasGraphics< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.CanvasMaskManager.html" > CanvasMaskManager< / a >
< / li >
2015-08-24 14:43:45 +00:00
< li class = "class-depth-1" >
< a href = "PIXI.CanvasPool.html" > CanvasPool< / a >
< / li >
2014-11-15 20:01:46 +00:00
< li class = "class-depth-1" >
< a href = "PIXI.CanvasRenderer.html" > CanvasRenderer< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.CanvasTinter.html" > CanvasTinter< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.ComplexPrimitiveShader.html" > ComplexPrimitiveShader< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.DisplayObjectContainer.html" > DisplayObjectContainer< / a >
< / li >
2016-02-08 17:01:36 +00:00
< li class = "class-depth-1" >
< a href = "PIXI.EarCut.html" > EarCut< / a >
< / li >
2014-11-15 20:01:46 +00:00
< li class = "class-depth-1" >
< a href = "PIXI.Event.html" > Event< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.EventTarget.html" > EventTarget< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.FilterTexture.html" > FilterTexture< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.Graphics.html" > Graphics< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.GraphicsData.html" > GraphicsData< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.PIXI.html" > PIXI< / a >
< / li >
2016-07-01 15:57:13 +00:00
< li class = "class-depth-2" >
< a href = "PIXI.PIXI.DisplayObject.html" > DisplayObject< / a >
< / li >
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< li class = "class-depth-1" >
< a href = "PIXI.PixiFastShader.html" > PixiFastShader< / a >
< / li >
< li class = "class-depth-1" >
< a href = "PIXI.PixiShader.html" > PixiShader< / a >
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.PrimitiveShader.html" > PrimitiveShader< / a >
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< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.RenderTexture.html" > RenderTexture< / a >
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< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.Rope.html" > Rope< / a >
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< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.Sprite.html" > Sprite< / a >
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< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.SpriteBatch.html" > SpriteBatch< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.Strip.html" > Strip< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.StripShader.html" > StripShader< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.Texture.html" > Texture< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.TilingSprite.html" > TilingSprite< / a >
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< / li >
2014-11-25 00:23:44 +00:00
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.WebGLBlendModeManager.html" > WebGLBlendModeManager< / a >
2014-11-25 00:23:44 +00:00
< / li >
2014-11-15 20:01:46 +00:00
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.WebGLFastSpriteBatch.html" > WebGLFastSpriteBatch< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.WebGLFilterManager.html" > WebGLFilterManager< / a >
2014-11-15 20:01:46 +00:00
< / li >
< li class = "class-depth-1" >
2015-03-23 23:46:30 +00:00
< a href = "PIXI.WebGLRenderer.html" > WebGLRenderer< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< / 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 " >
2016-06-03 17:48:34 +00:00
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_DOWN" > ANGLE_DOWN< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_LEFT" > ANGLE_LEFT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_NORTH_EAST" > ANGLE_NORTH_EAST< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_NORTH_WEST" > ANGLE_NORTH_WEST< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_RIGHT" > ANGLE_RIGHT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_SOUTH_EAST" > ANGLE_SOUTH_EAST< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_SOUTH_WEST" > ANGLE_SOUTH_WEST< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ANGLE_UP" > ANGLE_UP< / a >
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#AUTO" > AUTO< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#BITMAPDATA" > BITMAPDATA< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#BITMAPTEXT" > BITMAPTEXT< / a >
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< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#blendModes" > blendModes< / a >
2014-11-15 20:01:46 +00:00
< / li >
2016-06-17 00:11:24 +00:00
< li class = "class-depth-0" >
< a href = "global.html#BOTTOM_CENTER" > BOTTOM_CENTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#BOTTOM_LEFT" > BOTTOM_LEFT< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#BOTTOM_RIGHT" > BOTTOM_RIGHT< / a >
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#BUTTON" > BUTTON< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#CANVAS" > CANVAS< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#CANVAS_FILTER" > CANVAS_FILTER< / a >
< / li >
2016-06-17 00:11:24 +00:00
< li class = "class-depth-0" >
< a href = "global.html#CENTER" > CENTER< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#CIRCLE" > CIRCLE< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#CREATURE" > CREATURE< / a >
< / li >
2016-06-09 16:13:31 +00:00
< li class = "class-depth-0" >
< a href = "global.html#displayList" > displayList< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#DOWN" > DOWN< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#ELLIPSE" > ELLIPSE< / a >
< / li >
2016-08-26 00:18:47 +00:00
< li class = "class-depth-0" >
< a href = "global.html#emit" > emit< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#EMITTER" > EMITTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#GAMES" > GAMES< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#GRAPHICS" > GRAPHICS< / a >
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< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#GROUP" > GROUP< / a >
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< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#HEADLESS" > HEADLESS< / a >
2014-11-15 20:01:46 +00:00
< / li >
2016-06-09 16:13:31 +00:00
< li class = "class-depth-0" >
< a href = "global.html#HORIZONTAL" > HORIZONTAL< / a >
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#IMAGE" > IMAGE< / a >
2014-11-15 20:01:46 +00:00
< / li >
2016-06-09 16:13:31 +00:00
< li class = "class-depth-0" >
< a href = "global.html#LANDSCAPE" > LANDSCAPE< / a >
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#LEFT" > LEFT< / a >
< / li >
2016-06-17 00:11:24 +00:00
< li class = "class-depth-0" >
< a href = "global.html#LEFT_BOTTOM" > LEFT_BOTTOM< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#LEFT_CENTER" > LEFT_CENTER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#LEFT_TOP" > LEFT_TOP< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#LINE" > LINE< / a >
< / li >
2016-08-26 00:18:47 +00:00
< li class = "class-depth-0" >
< a href = "global.html#listeners" > listeners< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#MATRIX" > MATRIX< / a >
< / li >
2016-08-26 00:18:47 +00:00
< li class = "class-depth-0" >
< a href = "global.html#mixin" > mixin< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#NONE" > NONE< / a >
< / li >
2016-08-26 00:18:47 +00:00
< 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 >
2016-02-08 17:01:36 +00:00
< li class = "class-depth-0" >
< a href = "global.html#PENDING_ATLAS" > PENDING_ATLAS< / a >
< / li >
2016-08-26 00:18:47 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< 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 >
2016-06-09 16:13:31 +00:00
< li class = "class-depth-0" >
< a href = "global.html#PORTRAIT" > PORTRAIT< / a >
< / li >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#RECTANGLE" > RECTANGLE< / a >
< / li >
2016-08-26 00:18:47 +00:00
< li class = "class-depth-0" >
< a href = "global.html#removeAllListeners" > removeAllListeners< / a >
< / li >
2015-07-22 14:31:30 +00:00
< 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 >
2016-06-17 00:11:24 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< 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 >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#scaleModes" > scaleModes< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#SPRITE" > SPRITE< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#SPRITEBATCH" > SPRITEBATCH< / a >
< / li >
2016-08-26 00:18:47 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-0" >
< a href = "global.html#TEXT" > TEXT< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#TILEMAP" > TILEMAP< / a >
2014-11-15 20:01:46 +00:00
< / li >
2015-03-23 23:46:30 +00:00
< li class = "class-depth-0" >
2015-07-22 14:31:30 +00:00
< a href = "global.html#TILEMAPLAYER" > TILEMAPLAYER< / a >
< / li >
< li class = "class-depth-0" >
< a href = "global.html#TILESPRITE" > TILESPRITE< / a >
< / li >
2016-06-17 00:11:24 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< 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 >
2016-06-09 16:13:31 +00:00
< li class = "class-depth-0" >
< a href = "global.html#VERTICAL" > VERTICAL< / a >
< / li >
2015-07-22 14:31:30 +00:00
< 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 >
2014-11-15 20:01:46 +00:00
< / li >
< / ul >
< / li >
2014-11-25 00:23:44 +00:00
2014-11-15 20:01:46 +00:00
< li class = "dropdown" >
2014-11-25 00:23:44 +00:00
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Core< b class = "caret" > < / b > < / a >
< ul class = "dropdown-menu " >
2014-12-03 10:39:11 +00:00
< li class = "class-depth-1" > < a href = "Phaser.Game.html" > Game< / a > < / li >
2014-11-25 00:23:44 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-1" > < a href = "Phaser.Cache.html" > Cache< / a > < / li >
2014-11-25 00:23:44 +00:00
< 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 >
2015-01-06 06:57:25 +00:00
< li class = "class-depth-1" > < a href = "Phaser.Input.html" > Input Manager< / a > < / li >
2014-11-25 00:23:44 +00:00
< li class = "class-depth-1" > < a href = "Phaser.ScaleManager.html" > Scale Manager< / a > < / li >
< / ul >
< / li >
2014-11-15 20:01:46 +00:00
2014-11-25 00:23:44 +00:00
< li class = "dropdown" >
< a href = "#" class = "dropdown-toggle" data-toggle = "dropdown" > Game Objects< b class = "caret" > < / b > < / a >
2014-11-15 20:01:46 +00:00
< ul class = "dropdown-menu " >
2014-11-25 00:23:44 +00:00
< 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 >
2015-07-22 14:31:30 +00:00
< li class = "class-depth-1" > < a href = "Phaser.Video.html" > Video< / a > < / li >
2015-01-06 06:57:25 +00:00
< li class = "class-depth-1" > < a href = "Phaser.Particles.Arcade.Emitter.html" > Particle Emitter< / a > < / li >
2014-12-03 10:39:11 +00:00
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< h1 class = "page-title" > Source: src/geom/Hermite.js< / h1 >
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< section >
< article >
< pre class = "sunlight-highlight-javascript linenums" > /**
* @author Richard Davey < rich@photonstorm.com>
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* @author Pete Baron < pete@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 data representation of a Hermite Curve (see http://en.wikipedia.org/wiki/Cubic_Hermite_spline)
*
* A Hermite curve has a start and end point and tangent vectors for both of them.
* The curve will always pass through the two control points and the shape of it is controlled
* by the length and direction of the tangent vectors. At the control points the curve will
* be facing exactly in the vector direction.
*
* As these curves change speed (speed = distance between points separated by an equal change in
* 't' value - see Hermite.getPoint) this class attempts to reduce the variation by pre-calculating
* the `accuracy` number of points on the curve. The straight-line distances to these points are stored
* in the private 'points' array, and this information is used by Hermite.findT() to convert a pixel
* distance along the curve into a 'time' value.
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*
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* Higher `accuracy` values will result in more even movement, but require more memory for the points
* list. 5 works, but 10 seems to be an ideal value for the length of curves found in most games on
* a desktop screen. If you use very long curves (more than 400 pixels) you may need to increase
* this value further.
*
* @class Phaser.Hermite
* @constructor
* @param {number} p1x - The x coordinate of the start of the curve.
* @param {number} p1y - The y coordinate of the start of the curve.
* @param {number} p2x - The x coordinate of the end of the curve.
* @param {number} p2y - The y coordinate of the end of the curve.
* @param {number} v1x - The x component of the tangent vector for the start of the curve.
* @param {number} v1y - The y component of the tangent vector for the start of the curve.
* @param {number} v2x - The x component of the tangent vector for the end of the curve.
* @param {number} v2y - The y component of the tangent vector for the end of the curve.
* @param {number} [accuracy=10] The amount of points to pre-calculate on the curve.
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*/
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Phaser.Hermite = function (p1x, p1y, p2x, p2y, v1x, v1y, v2x, v2y, accuracy) {
if (accuracy === undefined) { accuracy = 10; }
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/**
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* @property {number} _accuracy - The amount of points to pre-calculate on the curve.
* @private
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*/
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this._accuracy = accuracy;
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/**
* @property {number} _p1x - The x coordinate of the start of the curve.
* @private
*/
this._p1x = p1x;
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/**
* @property {number} _p1y - The y coordinate of the start of the curve.
* @private
*/
this._p1y = p1y;
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/**
* @property {number} _p2x - The x coordinate of the end of the curve.
* @private
*/
this._p2x = p2x;
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/**
* @property {number} _p2y - The y coordinate of the end of the curve.
* @private
*/
this._p2y = p2y;
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/**
* @property {number} _v1x - The x component of the tangent vector for the start of the curve.
* @private
*/
this._v1x = v1x;
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/**
* @property {number} _v1y - The y component of the tangent vector for the start of the curve.
* @private
*/
this._v1y = v1y;
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/**
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* @property {number} _v2x - The x component of the tangent vector for the end of the curve.
* @private
*/
this._v2x = v2x;
/**
* @property {number} _v2y - The y component of the tangent vector for the end of the curve.
* @private
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*/
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this._v2y = v2y;
/**
* @property {array} _points - A local array of cached points.
* @private
*/
this._points = [];
/**
* @property {Phaser.Point} _temp1 - A local cached Point object.
* @private
*/
this._temp1 = new Phaser.Point();
/**
* @property {Phaser.Point} _temp2 - A local cached Point object.
* @private
*/
this._temp2 = new Phaser.Point();
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this.recalculate();
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};
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Phaser.Hermite.prototype.constructor = Phaser.Hermite;
Phaser.Hermite.prototype = {
/**
* Performs the curve calculations.
*
* This is called automatically if you change any of the curves public properties, such as `Hermite.p1x` or `Hermite.v2y`.
*
* If you adjust any of the internal private values, then call this to update the points.
*
* @method Phaser.Hermite#recalculate
* @return {Phaser.Hermite} This object.
*/
recalculate: function () {
this._ax = (2 * this._p1x - 2 * this._p2x + this._v1x + this._v2x);
this._ay = (2 * this._p1y - 2 * this._p2y + this._v1y + this._v2y);
this._bx = (-3 * this._p1x + 3 * this._p2x - 2 * this._v1x - this._v2x);
this._by = (-3 * this._p1y + 3 * this._p2y - 2 * this._v1y - this._v2y);
this.length = this.calculateEvenPoints();
return this;
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},
/**
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* Calculate a number of points along the curve, based on `Hermite.accuracy`, and stores them in the private `_points` array.
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*
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* @method Phaser.Hermite#calculateEvenPoints
* @return {number} The total length of the curve approximated as straight line distances between the points.
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*/
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calculateEvenPoints: function () {
var totalLength = 0;
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this._temp1.setTo(0, 0); // pnt
this._temp2.setTo(this._p1x, this._p1y); // lastPnt
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this._points[0] = 0;
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for (var i = 1; i < = this._accuracy; i++)
{
this.getPoint(i / this._accuracy, this._temp1);
totalLength += this._temp1.distance(this._temp2);
this._points[i] = totalLength;
this._temp2.copyFrom(this._temp1);
}
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return totalLength;
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},
/**
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* Convert a distance along this curve into a `time` value which will be between 0 and 1.
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*
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* For example if this curve has a length of 100 pixels then `findT(50)` would return `0.5`.
*
* @method Phaser.Hermite#findT
* @param {integer} distance - The distance into the curve in pixels. Should be a positive integer.
* @return {number} The time (`t`) value, a float between 0 and 1.
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*/
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findT: function (distance) {
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if (distance < = 0)
{
return 0;
}
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// Find the _points which bracket the distance value
var ti = Math.floor(distance / this.length * this._accuracy);
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while (ti > 0 & & this._points[ti] > distance)
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{
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ti--;
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}
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while (ti < this._accuracy & & this._points[ti] < distance)
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{
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ti++;
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}
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// Linear interpolation to get a more accurate fix
var dt = this._points[ti] - this._points[ti - 1];
var d = distance - this._points[ti - 1];
return ((ti - 1) / this._accuracy) + d / (dt * this._accuracy);
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},
/**
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* Get the X component of a point on the curve based on the `t` (time) value, which must be between 0 and 1.
*
* @method Phaser.Hermite#getX
* @param {number} [t=0] - The time value along the curve from which to extract a point. This is a value between 0 and 1, where 0 represents the start of the curve and 1 the end.
* @return {number} The X component of a point on the curve based on the `t` (time) value.
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*/
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getX: function (t) {
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if (t === undefined)
{
t = 0;
}
else
{
if (t < 0)
{
t = 0;
}
if (t > 1)
{
t = 1;
}
}
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var t2 = t * t;
var t3 = t * t2;
return (t3 * this._ax + t2 * this._bx + t * this._v1x + this._p1x);
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},
/**
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* Get the Y component of a point on the curve based on the `t` (time) value, which must be between 0 and 1.
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*
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* @method Phaser.Hermite#getY
* @param {number} [t=0] - The time value along the curve from which to extract a point. This is a value between 0 and 1, where 0 represents the start of the curve and 1 the end.
* @return {number} The Y component of a point on the curve based on the `t` (time) value.
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*/
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getY: function (t) {
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if (t === undefined)
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{
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t = 0;
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}
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else
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{
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if (t < 0)
{
t = 0;
}
if (t > 1)
{
t = 1;
}
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}
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var t2 = t * t;
var t3 = t * t2;
return (t3 * this._ay + t2 * this._by + t * this._v1y + this._p1y);
},
/**
* Get a point on the curve using the `t` (time) value, which must be between 0 and 1.
*
* @method Phaser.Hermite#getPoint
* @param {number} [t=0] - The time value along the curve from which to extract a point. This is a value between 0 and 1, where 0 represents the start of the curve and 1 the end.
* @param {Phaser.Point|Object} [point] - An optional Phaser.Point, or Object containing public `x` and `y` properties. If given the resulting values will be stored in the Objects `x` and `y` properties. If omitted a new Phaser.Point object is created.
* @return {Phaser.Point} An Object with the x, y coordinate of the curve at the specified `t` value set in its `x` and `y` properties.
*/
getPoint: function (t, point) {
if (t === undefined) { t = 0; }
if (point === undefined) { point = new Phaser.Point(); }
if (t < 0)
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{
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t = 0;
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}
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if (t > 1)
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{
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t = 1;
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}
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var t2 = t * t;
var t3 = t * t2;
point.x = t3 * this._ax + t2 * this._bx + t * this._v1x + this._p1x;
point.y = t3 * this._ay + t2 * this._by + t * this._v1y + this._p1y;
return point;
},
/**
* Get a point on the curve using the distance, in pixels, along the curve.
*
* @method Phaser.Hermite#getPointWithDistance
* @param {integer} [distance=0] - The distance along the curve to get the point from, given in pixels.
* @param {Phaser.Point|Object} [point] - An optional Phaser.Point, or Object containing public `x` and `y` properties. If given the resulting values will be stored in the Objects `x` and `y` properties. If omitted a new Phaser.Point object is created.
* @return {Phaser.Point} The point on the line at the specified 'distance' along the curve.
*/
getPointWithDistance: function (distance, point) {
if (distance === undefined) { distance = 0; }
if (point === undefined) { point = new Phaser.Point(); }
if (distance < = 0)
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{
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point.x = this._p1x;
point.y = this._p1y;
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}
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else
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{
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this.getPoint(this.findT(distance), point);
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}
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return point;
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},
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/**
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* Calculate and return the angle, in radians, of the curves tangent based on time.
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*
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* @method Phaser.Hermite#getAngle
* @param {number} [t=0] - The `t` (time) value at which to find the angle. Must be between 0 and 1.
* @return {number} The angle of the line at the specified `t` time value along the curve. The value is in radians.
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*/
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getAngle: function (t) {
if (t === undefined) { t = 0; }
this.getPoint(t - 0.01, this._temp1);
this.getPoint(t + 0.01, this._temp2);
return Math.atan2(this._temp2.y - this._temp1.y, this._temp2.x - this._temp1.x);
},
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/**
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* Calculate and return the angle, in radians, of the curves tangent at the given pixel distance along the curves length.
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*
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* @method Phaser.Hermite#getAngleWithDistance
* @param {number} [distance=0] - The distance along the curve to get the angle from, in pixels.
* @return {number} The angle of the line at the specified distance along the curve. The value is in radians.
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*/
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getAngleWithDistance: function (distance) {
if (distance === undefined) { distance = 0; }
if (distance < = 0)
{
return Math.atan2(this._v1y, this._v1x);
}
else
{
return this.getAngle(this.findT(distance));
}
},
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/**
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* Get the angle of the curves entry point.
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*
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* @method Phaser.Hermite#getEntryTangent
* @param {Phaser.Point|Object} point - The Phaser.Point object, or an Object with public `x` and `y` properties, in which the tangent vector values will be stored.
* @return {Phaser.Point} A Point object containing the tangent vector of this Hermite curve.
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*/
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getEntryTangent: function (point) {
point.x = this._v1x;
point.y = this._v1y;
return point;
}
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};
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Object.defineProperties(Phaser.Hermite.prototype, {
/**
* @name Phaser.Hermite#accuracy
* @property {number} accuracy - The amount of points to pre-calculate on the curve.
*/
accuracy: {
get: function () {
return this._accuracy;
},
set: function (value) {
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if (value !== this._accuracy)
{
this._accuracy = value;
this.recalculate();
}
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}
},
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/**
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* @name Phaser.Hermite#p1x
* @property {number} p1x - The x coordinate of the start of the curve. Setting this value will recalculate the curve.
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*/
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p1x: {
get: function () {
return this._p1x;
},
set: function (value) {
if (value !== this._p1x)
{
this._p1x = value;
this.recalculate();
}
}
},
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/**
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* @name Phaser.Hermite#p1y
* @property {number} p1y - The y coordinate of the start of the curve. Setting this value will recalculate the curve.
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*/
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p1y: {
get: function () {
return this._p1y;
},
set: function (value) {
if (value !== this._p1y)
{
this._p1y = value;
this.recalculate();
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}
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}
},
/**
* @name Phaser.Hermite#p2x
* @property {number} p2x - The x coordinate of the end of the curve. Setting this value will recalculate the curve.
*/
p2x: {
get: function () {
return this._p2x;
},
set: function (value) {
if (value !== this._p2x)
{
this._p2x = value;
this.recalculate();
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}
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}
},
/**
* @name Phaser.Hermite#p2y
* @property {number} p2y - The y coordinate of the end of the curve. Setting this value will recalculate the curve.
*/
p2y: {
get: function () {
return this._p2y;
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},
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set: function (value) {
if (value !== this._p2y)
{
this._p2y = value;
this.recalculate();
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}
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}
},
/**
* @name Phaser.Hermite#v1x
* @property {number} v1x - The x component of the tangent vector for the start of the curve. Setting this value will recalculate the curve.
*/
v1x: {
get: function () {
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return this._v1x;
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},
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set: function (value) {
if (value !== this._v1x)
{
this._v1x = value;
this.recalculate();
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}
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}
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},
/**
* @name Phaser.Hermite#v1y
* @property {number} v1y - The y component of the tangent vector for the start of the curve. Setting this value will recalculate the curve.
*/
v1y: {
get: function () {
return this._v1y;
},
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set: function (value) {
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if (value !== this._v1y)
{
this._v1y = value;
this.recalculate();
}
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}
},
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/**
* @name Phaser.Hermite#v2x
* @property {number} v2x - The x component of the tangent vector for the end of the curve. Setting this value will recalculate the curve.
*/
v2x: {
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get: function () {
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return this._v2x;
},
set: function (value) {
if (value !== this._v2x)
{
this._v2x = value;
this.recalculate();
}
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}
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},
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/**
* @name Phaser.Hermite#v2y
* @property {number} v2y - The y component of the tangent vector for the end of the curve. Setting this value will recalculate the curve.
*/
v2y: {
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get: function () {
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return this._v2y;
},
set: function (value) {
if (value !== this._v2y)
{
this._v2y = value;
this.recalculate();
}
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}
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}
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});
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