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Equations.as
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Equations.as
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/*
Disclaimer for Robert Penner's Easing Equations license:
TERMS OF USE - EASING EQUATIONS
Open source under the BSD License.
Copyright © 2001 Robert Penner
All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
* Neither the name of the author nor the names of contributors may be used to endorse or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
package {
public final class Equations {
public static function easeNone (t:Number, b:Number, c:Number, d:Number):Number {
return c*t/d + b;
}
public static function easeInQuad (t:Number, b:Number, c:Number, d:Number):Number {
return c*(t/=d)*t + b;
}
public static function easeOutQuad (t:Number, b:Number, c:Number, d:Number):Number {
return -c *(t/=d)*(t-2) + b;
}
public static function easeInOutQuad (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d/2) < 1) return c/2*t*t + b;
return -c/2 * ((--t)*(t-2) - 1) + b;
}
public static function easeOutInQuad (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutQuad (t*2, b, c/2, d);
return easeInQuad((t*2)-d, b+c/2, c/2, d);
}
public static function easeInCubic (t:Number, b:Number, c:Number, d:Number):Number {
return c*(t/=d)*t*t + b;
}
public static function easeOutCubic (t:Number, b:Number, c:Number, d:Number):Number {
return c*((t=t/d-1)*t*t + 1) + b;
}
public static function easeInOutCubic (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d/2) < 1) return c/2*t*t*t + b;
return c/2*((t-=2)*t*t + 2) + b;
}
public static function easeOutInCubic (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutCubic (t*2, b, c/2, d);
return easeInCubic((t*2)-d, b+c/2, c/2, d);
}
public static function easeInQuart (t:Number, b:Number, c:Number, d:Number):Number {
return c*(t/=d)*t*t*t + b;
}
public static function easeOutQuart (t:Number, b:Number, c:Number, d:Number):Number {
return -c * ((t=t/d-1)*t*t*t - 1) + b;
}
public static function easeInOutQuart (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d/2) < 1) return c/2*t*t*t*t + b;
return -c/2 * ((t-=2)*t*t*t - 2) + b;
}
public static function easeOutInQuart (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutQuart (t*2, b, c/2, d);
return easeInQuart((t*2)-d, b+c/2, c/2, d);
}
public static function easeInQuint (t:Number, b:Number, c:Number, d:Number):Number {
return c*(t/=d)*t*t*t*t + b;
}
public static function easeOutQuint (t:Number, b:Number, c:Number, d:Number):Number {
return c*((t=t/d-1)*t*t*t*t + 1) + b;
}
public static function easeInOutQuint (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d/2) < 1) return c/2*t*t*t*t*t + b;
return c/2*((t-=2)*t*t*t*t + 2) + b;
}
public static function easeOutInQuint (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutQuint (t*2, b, c/2, d);
return easeInQuint((t*2)-d, b+c/2, c/2, d);
}
public static function easeInSine (t:Number, b:Number, c:Number, d:Number):Number {
return -c * Math.cos(t/d * (Math.PI/2)) + c + b;
}
public static function easeOutSine (t:Number, b:Number, c:Number, d:Number):Number {
return c * Math.sin(t/d * (Math.PI/2)) + b;
}
public static function easeInOutSine (t:Number, b:Number, c:Number, d:Number):Number {
return -c/2 * (Math.cos(Math.PI*t/d) - 1) + b;
}
public static function easeOutInSine (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutSine (t*2, b, c/2, d);
return easeInSine((t*2)-d, b+c/2, c/2, d);
}
public static function easeInExpo (t:Number, b:Number, c:Number, d:Number):Number {
return (t==0) ? b : c * Math.pow(2, 10 * (t/d - 1)) + b;
}
public static function easeOutExpo (t:Number, b:Number, c:Number, d:Number):Number {
return (t==d) ? b+c : c * (-Math.pow(2, -10 * t/d) + 1) + b;
}
public static function easeInOutExpo (t:Number, b:Number, c:Number, d:Number):Number {
if (t==0) return b;
if (t==d) return b+c;
if ((t/=d/2) < 1) return c/2 * Math.pow(2, 10 * (t - 1)) + b;
return c/2 * (-Math.pow(2, -10 * --t) + 2) + b;
}
public static function easeOutInExpo (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutExpo (t*2, b, c/2, d);
return easeInExpo((t*2)-d, b+c/2, c/2, d);
}
public static function easeInCirc (t:Number, b:Number, c:Number, d:Number):Number {
return -c * (Math.sqrt(1 - (t/=d)*t) - 1) + b;
}
public static function easeOutCirc (t:Number, b:Number, c:Number, d:Number):Number {
return c * Math.sqrt(1 - (t=t/d-1)*t) + b;
}
public static function easeInOutCirc (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d/2) < 1) return -c/2 * (Math.sqrt(1 - t*t) - 1) + b;
return c/2 * (Math.sqrt(1 - (t-=2)*t) + 1) + b;
}
public static function easeOutInCirc (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutCirc (t*2, b, c/2, d);
return easeInCirc((t*2)-d, b+c/2, c/2, d);
}
public static function easeInElastic (t:Number, b:Number, c:Number, d:Number, a:Number = Number.NaN, p:Number = Number.NaN):Number {
if (t==0) return b; if ((t/=d)==1) return b+c; if (!p) p=d*.3;
var s:Number;
if (!a || a < Math.abs(c)) { a=c; s=p/4; }
else s = p/(2*Math.PI) * Math.asin (c/a);
return -(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
}
public static function easeOutElastic (t:Number, b:Number, c:Number, d:Number, a:Number = Number.NaN, p:Number = Number.NaN):Number {
if (t==0) return b; if ((t/=d)==1) return b+c; if (!p) p=d*.3;
var s:Number;
if (!a || a < Math.abs(c)) { a=c; s=p/4; }
else s = p/(2*Math.PI) * Math.asin (c/a);
return (a*Math.pow(2,-10*t) * Math.sin( (t*d-s)*(2*Math.PI)/p ) + c + b);
}
public static function easeInOutElastic (t:Number, b:Number, c:Number, d:Number, a:Number = Number.NaN, p:Number = Number.NaN):Number {
if (t==0) return b; if ((t/=d/2)==2) return b+c; if (!p) p=d*(.3*1.5);
var s:Number;
if (!a || a < Math.abs(c)) { a=c; s=p/4; }
else s = p/(2*Math.PI) * Math.asin (c/a);
if (t < 1) return -.5*(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
return a*Math.pow(2,-10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )*.5 + c + b;
}
public static function easeOutInElastic (t:Number, b:Number, c:Number, d:Number, a:Number = Number.NaN, p:Number = Number.NaN):Number {
if (t < d/2) return easeOutElastic (t*2, b, c/2, d, a, p);
return easeInElastic((t*2)-d, b+c/2, c/2, d, a, p);
}
public static function easeInBack (t:Number, b:Number, c:Number, d:Number, s:Number = Number.NaN):Number {
if (!s) s = 1.70158;
return c*(t/=d)*t*((s+1)*t - s) + b;
}
public static function easeOutBack (t:Number, b:Number, c:Number, d:Number, s:Number = Number.NaN):Number {
if (!s) s = 1.70158;
return c*((t=t/d-1)*t*((s+1)*t + s) + 1) + b;
}
public static function easeInOutBack (t:Number, b:Number, c:Number, d:Number, s:Number = Number.NaN):Number {
if (!s) s = 1.70158;
if ((t/=d/2) < 1) return c/2*(t*t*(((s*=(1.525))+1)*t - s)) + b;
return c/2*((t-=2)*t*(((s*=(1.525))+1)*t + s) + 2) + b;
}
public static function easeOutInBack (t:Number, b:Number, c:Number, d:Number, s:Number = Number.NaN):Number {
if (t < d/2) return easeOutBack (t*2, b, c/2, d, s);
return easeInBack((t*2)-d, b+c/2, c/2, d, s);
}
public static function easeInBounce (t:Number, b:Number, c:Number, d:Number):Number {
return c - easeOutBounce (d-t, 0, c, d) + b;
}
public static function easeOutBounce (t:Number, b:Number, c:Number, d:Number):Number {
if ((t/=d) < (1/2.75)) {
return c*(7.5625*t*t) + b;
} else if (t < (2/2.75)) {
return c*(7.5625*(t-=(1.5/2.75))*t + .75) + b;
} else if (t < (2.5/2.75)) {
return c*(7.5625*(t-=(2.25/2.75))*t + .9375) + b;
} else {
return c*(7.5625*(t-=(2.625/2.75))*t + .984375) + b;
}
}
public static function easeInOutBounce (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeInBounce (t*2, 0, c, d) * .5 + b;
else return easeOutBounce (t*2-d, 0, c, d) * .5 + c*.5 + b;
}
public static function easeOutInBounce (t:Number, b:Number, c:Number, d:Number):Number {
if (t < d/2) return easeOutBounce (t*2, b, c/2, d);
return easeInBounce((t*2)-d, b+c/2, c/2, d);
}
}
}