789 lines
30 KiB
C#
789 lines
30 KiB
C#
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using UnityEngine;
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public static partial class SRMath
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{
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/**
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*
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* These tweening functions taken from https://wpf-animation.googlecode.com/svn/trunk/src/WPF/Animation/PennerDoubleAnimation.cs
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* Licensed under the new BSD License
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*
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* @author Darren David darren-code@lookorfeel.com
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* @version 1.0
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*
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* Credit/Thanks:
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* Robert Penner - The easing equations we all know and love
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* (http://robertpenner.com/easing/) [See License.txt for license info]
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*
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* Lee Brimelow - initial port of Penner's equations to WPF
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* (http://thewpfblog.com/?p=12)
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*
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* Zeh Fernando - additional equations (out/in) from
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* caurina.transitions.Tweener (http://code.google.com/p/tweener/)
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* [See License.txt for license info]
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*
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*/
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private static class TweenFunctions
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{
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#region Equations
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#region Linear
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/// <summary>
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/// Easing equation function for a simple linear tweening, with no easing.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float Linear(float t, float b, float c, float d)
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{
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return c*t/d + b;
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}
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#endregion
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#region Expo
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/// <summary>
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/// Easing equation function for an exponential (2^t) easing out:
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/// decelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float ExpoEaseOut(float t, float b, float c, float d)
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{
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return (t == d) ? b + c : c*(-Mathf.Pow(2, -10*t/d) + 1) + b;
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}
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/// <summary>
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/// Easing equation function for an exponential (2^t) easing in:
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/// accelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float ExpoEaseIn(float t, float b, float c, float d)
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{
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return (t == 0) ? b : c*Mathf.Pow(2, 10*(t/d - 1)) + b;
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}
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/// <summary>
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/// Easing equation function for an exponential (2^t) easing in/out:
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/// acceleration until halfway, then deceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float ExpoEaseInOut(float t, float b, float c, float d)
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{
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if (t == 0)
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{
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return b;
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}
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if (t == d)
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{
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return b + c;
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}
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if ((t /= d/2) < 1)
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{
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return c/2*Mathf.Pow(2, 10*(t - 1)) + b;
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}
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return c/2*(-Mathf.Pow(2, -10*--t) + 2) + b;
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}
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/// <summary>
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/// Easing equation function for an exponential (2^t) easing out/in:
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/// deceleration until halfway, then acceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float ExpoEaseOutIn(float t, float b, float c, float d)
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{
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if (t < d/2)
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{
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return ExpoEaseOut(t*2, b, c/2, d);
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}
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return ExpoEaseIn((t*2) - d, b + c/2, c/2, d);
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}
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#endregion
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#region Circular
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/// <summary>
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/// Easing equation function for a circular (sqrt(1-t^2)) easing out:
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/// decelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float CircEaseOut(float t, float b, float c, float d)
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{
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return c*Mathf.Sqrt(1 - (t = t/d - 1)*t) + b;
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}
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/// <summary>
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/// Easing equation function for a circular (sqrt(1-t^2)) easing in:
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/// accelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float CircEaseIn(float t, float b, float c, float d)
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{
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return -c*(Mathf.Sqrt(1 - (t /= d)*t) - 1) + b;
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}
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/// <summary>
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/// Easing equation function for a circular (sqrt(1-t^2)) easing in/out:
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/// acceleration until halfway, then deceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float CircEaseInOut(float t, float b, float c, float d)
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{
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if ((t /= d/2) < 1)
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{
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return -c/2*(Mathf.Sqrt(1 - t*t) - 1) + b;
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}
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return c/2*(Mathf.Sqrt(1 - (t -= 2)*t) + 1) + b;
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}
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/// <summary>
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/// Easing equation function for a circular (sqrt(1-t^2)) easing in/out:
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/// acceleration until halfway, then deceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float CircEaseOutIn(float t, float b, float c, float d)
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{
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if (t < d/2)
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{
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return CircEaseOut(t*2, b, c/2, d);
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}
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return CircEaseIn((t*2) - d, b + c/2, c/2, d);
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}
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#endregion
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#region Quad
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/// <summary>
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/// Easing equation function for a quadratic (t^2) easing out:
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/// decelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float QuadEaseOut(float t, float b, float c, float d)
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{
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return -c*(t /= d)*(t - 2) + b;
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}
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/// <summary>
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/// Easing equation function for a quadratic (t^2) easing in:
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/// accelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float QuadEaseIn(float t, float b, float c, float d)
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{
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return c*(t /= d)*t + b;
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}
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/// <summary>
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/// Easing equation function for a quadratic (t^2) easing in/out:
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/// acceleration until halfway, then deceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float QuadEaseInOut(float t, float b, float c, float d)
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{
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if ((t /= d/2) < 1)
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{
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return c/2*t*t + b;
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}
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return -c/2*((--t)*(t - 2) - 1) + b;
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}
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/// <summary>
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/// Easing equation function for a quadratic (t^2) easing out/in:
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/// deceleration until halfway, then acceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float QuadEaseOutIn(float t, float b, float c, float d)
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{
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if (t < d/2)
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{
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return QuadEaseOut(t*2, b, c/2, d);
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}
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return QuadEaseIn((t*2) - d, b + c/2, c/2, d);
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}
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#endregion
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#region Sine
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/// <summary>
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/// Easing equation function for a sinusoidal (sin(t)) easing out:
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/// decelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float SineEaseOut(float t, float b, float c, float d)
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{
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return c*Mathf.Sin(t/d*(Mathf.PI/2)) + b;
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}
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/// <summary>
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/// Easing equation function for a sinusoidal (sin(t)) easing in:
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/// accelerating from zero velocity.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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public static float SineEaseIn(float t, float b, float c, float d)
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{
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return -c*Mathf.Cos(t/d*(Mathf.PI/2)) + c + b;
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}
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/// <summary>
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/// Easing equation function for a sinusoidal (sin(t)) easing in/out:
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/// acceleration until halfway, then deceleration.
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/// </summary>
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/// <param name="t">Current time in seconds.</param>
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|||
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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/// <returns>The correct value.</returns>
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|||
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public static float SineEaseInOut(float t, float b, float c, float d)
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{
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if ((t /= d/2) < 1)
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{
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return c/2*(Mathf.Sin(Mathf.PI*t/2)) + b;
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}
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return -c/2*(Mathf.Cos(Mathf.PI*--t/2) - 2) + b;
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}
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/// <summary>
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|||
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/// Easing equation function for a sinusoidal (sin(t)) easing in/out:
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/// deceleration until halfway, then acceleration.
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|||
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/// </summary>
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|||
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/// <param name="t">Current time in seconds.</param>
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|||
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/// <param name="b">Starting value.</param>
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/// <param name="c">Final value.</param>
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/// <param name="d">Duration of animation.</param>
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|||
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/// <returns>The correct value.</returns>
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public static float SineEaseOutIn(float t, float b, float c, float d)
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{
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if (t < d/2)
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{
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|||
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return SineEaseOut(t*2, b, c/2, d);
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}
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return SineEaseIn((t*2) - d, b + c/2, c/2, d);
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}
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#endregion
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|||
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#region Cubic
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|||
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/// <summary>
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|||
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/// Easing equation function for a cubic (t^3) easing out:
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|||
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/// decelerating from zero velocity.
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|||
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/// </summary>
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|||
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/// <param name="t">Current time in seconds.</param>
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|||
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/// <param name="b">Starting value.</param>
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|||
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/// <param name="c">Final value.</param>
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|||
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/// <param name="d">Duration of animation.</param>
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|||
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/// <returns>The correct value.</returns>
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|||
|
|
public static float CubicEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*((t = t/d - 1)*t*t + 1) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a cubic (t^3) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float CubicEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*(t /= d)*t*t + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a cubic (t^3) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float CubicEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d/2) < 1)
|
|||
|
|
{
|
|||
|
|
return c/2*t*t*t + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
return c/2*((t -= 2)*t*t + 2) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a cubic (t^3) easing out/in:
|
|||
|
|
/// deceleration until halfway, then acceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float CubicEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return CubicEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
return CubicEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Quartic
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quartic (t^4) easing out:
|
|||
|
|
/// decelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuartEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return -c*((t = t/d - 1)*t*t*t - 1) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quartic (t^4) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuartEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*(t /= d)*t*t*t + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quartic (t^4) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuartEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d/2) < 1)
|
|||
|
|
{
|
|||
|
|
return c/2*t*t*t*t + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
return -c/2*((t -= 2)*t*t*t - 2) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quartic (t^4) easing out/in:
|
|||
|
|
/// deceleration until halfway, then acceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuartEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return QuartEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
return QuartEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Quintic
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quintic (t^5) easing out:
|
|||
|
|
/// decelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuintEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*((t = t/d - 1)*t*t*t*t + 1) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quintic (t^5) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuintEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*(t /= d)*t*t*t*t + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quintic (t^5) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuintEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
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;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a quintic (t^5) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float QuintEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return QuintEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
return QuintEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Elastic
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for an elastic (exponentially decaying sine wave) easing out:
|
|||
|
|
/// decelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float ElasticEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d) == 1)
|
|||
|
|
{
|
|||
|
|
return b + c;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
var p = d*.3f;
|
|||
|
|
var s = p/4;
|
|||
|
|
|
|||
|
|
return (c*Mathf.Pow(2, -10*t)*Mathf.Sin((t*d - s)*(2*Mathf.PI)/p) + c + b);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for an elastic (exponentially decaying sine wave) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float ElasticEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d) == 1)
|
|||
|
|
{
|
|||
|
|
return b + c;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
var p = d*.3f;
|
|||
|
|
var s = p/4;
|
|||
|
|
|
|||
|
|
return -(c*Mathf.Pow(2, 10*(t -= 1))*Mathf.Sin((t*d - s)*(2*Mathf.PI)/p)) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for an elastic (exponentially decaying sine wave) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float ElasticEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d/2) == 2)
|
|||
|
|
{
|
|||
|
|
return b + c;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
var p = d*(.3f*1.5f);
|
|||
|
|
var s = p/4;
|
|||
|
|
|
|||
|
|
if (t < 1)
|
|||
|
|
{
|
|||
|
|
return -.5f*(c*Mathf.Pow(2, 10*(t -= 1))*Mathf.Sin((t*d - s)*(2*Mathf.PI)/p)) + b;
|
|||
|
|
}
|
|||
|
|
return c*Mathf.Pow(2, -10*(t -= 1))*Mathf.Sin((t*d - s)*(2*Mathf.PI)/p)*.5f + c + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for an elastic (exponentially decaying sine wave) easing out/in:
|
|||
|
|
/// deceleration until halfway, then acceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float ElasticEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return ElasticEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
return ElasticEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Bounce
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a bounce (exponentially decaying parabolic bounce) easing out:
|
|||
|
|
/// decelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BounceEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if ((t /= d) < (1/2.75f))
|
|||
|
|
{
|
|||
|
|
return c*(7.5625f*t*t) + b;
|
|||
|
|
}
|
|||
|
|
if (t < (2/2.75))
|
|||
|
|
{
|
|||
|
|
return c*(7.5625f*(t -= (1.5f/2.75f))*t + .75f) + b;
|
|||
|
|
}
|
|||
|
|
if (t < (2.5/2.75))
|
|||
|
|
{
|
|||
|
|
return c*(7.5625f*(t -= (2.25f/2.75f))*t + .9375f) + b;
|
|||
|
|
}
|
|||
|
|
return c*(7.5625f*(t -= (2.625f/2.75f))*t + .984375f) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a bounce (exponentially decaying parabolic bounce) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BounceEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c - BounceEaseOut(d - t, 0, c, d) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a bounce (exponentially decaying parabolic bounce) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BounceEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return BounceEaseIn(t*2, 0, c, d)*.5f + b;
|
|||
|
|
}
|
|||
|
|
return BounceEaseOut(t*2 - d, 0, c, d)*.5f + c*.5f + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a bounce (exponentially decaying parabolic bounce) easing out/in:
|
|||
|
|
/// deceleration until halfway, then acceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BounceEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return BounceEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
return BounceEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Back
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a back (overshooting cubic easing: (s+1)*t^3 - s*t^2) easing out:
|
|||
|
|
/// decelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BackEaseOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*((t = t/d - 1)*t*((1.70158f + 1)*t + 1.70158f) + 1) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a back (overshooting cubic easing: (s+1)*t^3 - s*t^2) easing in:
|
|||
|
|
/// accelerating from zero velocity.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BackEaseIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
return c*(t /= d)*t*((1.70158f + 1)*t - 1.70158f) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a back (overshooting cubic easing: (s+1)*t^3 - s*t^2) easing in/out:
|
|||
|
|
/// acceleration until halfway, then deceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BackEaseInOut(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
var s = 1.70158f;
|
|||
|
|
if ((t /= d/2) < 1)
|
|||
|
|
{
|
|||
|
|
return c/2*(t*t*(((s *= (1.525f)) + 1)*t - s)) + b;
|
|||
|
|
}
|
|||
|
|
return c/2*((t -= 2)*t*(((s *= (1.525f)) + 1)*t + s) + 2) + b;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Easing equation function for a back (overshooting cubic easing: (s+1)*t^3 - s*t^2) easing out/in:
|
|||
|
|
/// deceleration until halfway, then acceleration.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="t">Current time in seconds.</param>
|
|||
|
|
/// <param name="b">Starting value.</param>
|
|||
|
|
/// <param name="c">Final value.</param>
|
|||
|
|
/// <param name="d">Duration of animation.</param>
|
|||
|
|
/// <returns>The correct value.</returns>
|
|||
|
|
public static float BackEaseOutIn(float t, float b, float c, float d)
|
|||
|
|
{
|
|||
|
|
if (t < d/2)
|
|||
|
|
{
|
|||
|
|
return BackEaseOut(t*2, b, c/2, d);
|
|||
|
|
}
|
|||
|
|
return BackEaseIn((t*2) - d, b + c/2, c/2, d);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
}
|
|||
|
|
}
|