package org.as3lib.kitchensync.easing
{
	/**
	 * <p>lib_flex_animation_code_10_org_as3lib_kitchensync_easing_Circular produces values that would cause a moving subject to travel along a circular curve.</p>
	 * <p>The easing classes provide static methods for interpolating the change between two values over time.
	 * Each class handles the interpolation, or easing, differently. Each class typically contains three methods
	 *  - <code>easeIn()</code>, <code>easeOut()</code> and <code>easeInOut()</code> - which vary the rate of change
	 *  of the values. Most of the easing functions produce values as a percentage - a number between 0.0 and 1.0</p>
	 * 
 	 * @author modified by Mims H. Wright, 2007
	 * @author (c) 2003 Robert Penner, all rights reserved. - This work is subject to the terms in http://www.robertpenner.com/easing_terms_of_use.html
	 * @see http://www.robertpenner.com/easing_terms_of_use.html
	 * @see http://www.robertpenner.com/easing/
	 * @see EasingUtil
	 */
	public class lib_flex_animation_code_10_org_as3lib_kitchensync_easing_Circular
	{
	    /**
	    * easeIn starts out slow and increases in speed towards the end of the duration.
	    * 
	    * @param timeElapsed The time since the tween began in milliseconds or frames.
	    * @param duration The duration of the tween, in milliseconds or frames.
	    * @return percentage complete - between 0.0 and 1.0
	    */ 
		public static function easeIn(timeElapsed:Number, duration:Number):Number
		{
			return -1 * (Math.sqrt(1 - (timeElapsed/=duration)*timeElapsed) - 1);
		}
				
	    /**
	    * easeOut starts out fast and decreases in speed towards the end of the duration.
	    * 
	    * @param timeElapsed Specifies the time since the tween began in milliseconds or frames.
	    * @param duration Specifies the duration of the tween, in milliseconds or frames.
	    * @return percentage complete - between 0.0 and 1.0
	    */  
		public static function easeOut(timeElapsed:Number, duration:Number):Number
		{
			return Math.sqrt(1 - (timeElapsed=timeElapsed/duration-1)*timeElapsed);
		}
	
	    /**
	    * easeInOut combines the motion of easeIn and easeOut by starting out slow and increasing in speed 
	    * towards the middle of the duration, then slowing down again towards the end.
		*  
	    * @param timeElapsed Specifies the time since the tween began in milliseconds or frames.
	    * @param duration Specifies the duration of the tween, in milliseconds or frames.
	    * @param overshoot The ammount to go over past the target value. The higher the number, the farther it will go.
	    * @return percentage complete - between 0.0 and 1.0
	    */   
		public static function easeInOut(timeElapsed:Number, duration:Number):Number
		{
			if ((timeElapsed/=duration/2) < 1) {
				return -0.5 * (Math.sqrt(1 - timeElapsed*timeElapsed) - 1);
			} 
			return 0.5 * (Math.sqrt(1 - (timeElapsed-=2)*timeElapsed) + 1);
		}
	
		/**
		* easeOutIn combines the motion of easeIn and easeOut by starting out decelerating 
		* towards the middle of the duration, then accelerating end.
		*  
		* @param timeElapsed Specifies the time since the tween began in milliseconds or frames.
		* @param duration Specifies the duration of the tween, in milliseconds or frames.
		* @param overshoot The ammount to go over past the target value. The higher the number, the farther it will go.
		* @return percentage complete - between 0.0 and 1.0
		*/ 
		public static function easeOutIn (timeElapsed:Number, duration:Number):Number {
			if (timeElapsed < duration/2) return easeOut(timeElapsed*2, duration)/2;
			return easeIn((timeElapsed*2)-duration, duration)/2 + 0.5;
		}
	}
}