/** * VERSION: 1.02 * DATE: 10/2/2009 * ACTIONSCRIPT VERSION: 3.0 * UPDATES AND DOCUMENTATION AT: http://www.TweenMax.com **/ package com.greensock.plugins { import com.greensock.*; /** * Performs SLERP interpolation between 2 Quaternions. Each Quaternion should have x, y, z, and w properties. * Simply pass in an Object containing properties that correspond to your object's quaternion properties. * For example, if your myCamera3D has an "orientation" property that's a Quaternion and you want to * tween its values to x:1, y:0.5, z:0.25, w:0.5, you could do:

* * TweenLite.to(myCamera3D, 2, {quaternions:{orientation:new Quaternion(1, 0.5, 0.25, 0.5)}});

* * You can define as many quaternion properties as you want.

* * USAGE:

* * import com.greensock.TweenLite;
* import com.greensock.plugins.TweenPlugin;
* import com.greensock.plugins.QuaternionsPlugin;
* TweenPlugin.activate([QuaternionsPlugin]); //activation is permanent in the SWF, so this line only needs to be run once.

* * TweenLite.to(myCamera3D, 2, {quaternions:{orientation:new Quaternion(1, 0.5, 0.25, 0.5)}});

*
* * Copyright 2011, GreenSock. All rights reserved. This work is subject to the terms in http://www.greensock.com/terms_of_use.html or for corporate Club GreenSock members, the software agreement that was issued with the corporate membership. * * @author Jack Doyle, jack@greensock.com */ public class QuaternionsPlugin extends TweenPlugin { /** @private **/ public static const API:Number = 1.0; //If the API/Framework for plugins changes in the future, this number helps determine compatibility /** @private **/ protected static const _RAD2DEG:Number = 180 / Math.PI; //precalculate for speed /** @private **/ protected var _target:Object; /** @private **/ protected var _quaternions:Array = []; /** @private **/ public function QuaternionsPlugin() { super(); this.propName = "quaternions"; //name of the special property that the plugin should intercept/manage this.overwriteProps = []; } /** @private **/ override public function onInitTween(target:Object, value:*, tween:TweenLite):Boolean { if (value == null) { return false; } for (var p:String in value) { initQuaternion(target[p], value[p], p); } return true; } /** @private **/ public function initQuaternion(start:Object, end:Object, propName:String):void { var angle:Number, q1:Object, q2:Object, x1:Number, x2:Number, y1:Number, y2:Number, z1:Number, z2:Number, w1:Number, w2:Number, theta:Number; q1 = start; q2 = end; x1 = q1.x; x2 = q2.x; y1 = q1.y; y2 = q2.y; z1 = q1.z; z2 = q2.z; w1 = q1.w; w2 = q2.w; angle = x1 * x2 + y1 * y2 + z1 * z2 + w1 * w2; if (angle < 0) { x1 *= -1; y1 *= -1; z1 *= -1; w1 *= -1; angle *= -1; } if ((angle + 1) < 0.000001) { y2 = -y1; x2 = x1; w2 = -w1; z2 = z1; } theta = Math.acos(angle); _quaternions[_quaternions.length] = [q1, propName, x1, x2, y1, y2, z1, z2, w1, w2, angle, theta, 1 / Math.sin(theta)]; this.overwriteProps[this.overwriteProps.length] = propName; } /** @private **/ override public function killProps(lookup:Object):void { for (var i:int = _quaternions.length - 1; i > -1; i--) { if (lookup[_quaternions[i][1]] != undefined) { _quaternions.splice(i, 1); } } super.killProps(lookup); } /** @private **/ override public function set changeFactor(n:Number):void { var i:int, q:Array, scale:Number, invScale:Number; for (i = _quaternions.length - 1; i > -1; i--) { q = _quaternions[i]; if ((q[10] + 1) > 0.000001) { if ((1 - q[10]) >= 0.000001) { scale = Math.sin(q[11] * (1 - n)) * q[12]; invScale = Math.sin(q[11] * n) * q[12]; } else { scale = 1 - n; invScale = n; } } else { scale = Math.sin(Math.PI * (0.5 - n)); invScale = Math.sin(Math.PI * n); } q[0].x = scale * q[2] + invScale * q[3]; q[0].y = scale * q[4] + invScale * q[5]; q[0].z = scale * q[6] + invScale * q[7]; q[0].w = scale * q[8] + invScale * q[9]; } /* Array access is faster (though less readable). Here is the key: 0 - target 1 = propName 2 = x1 3 = x2 4 = y1 5 = y2 6 = z1 7 = z2 8 = w1 9 = w2 10 = angle 11 = theta 12 = invTheta */ } } }