mirror of
https://github.com/Artemis-RGB/Artemis
synced 2025-12-13 05:48:35 +00:00
408 lines
12 KiB
C#
408 lines
12 KiB
C#
#pragma warning disable 1591
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using System;
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namespace Artemis.Core;
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public static class Easings
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{
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/// <summary>
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/// Constant Pi.
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/// </summary>
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private const double PI = Math.PI;
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/// <summary>
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/// Constant Pi / 2.
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/// </summary>
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private const double HALFPI = Math.PI / 2.0;
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/// <summary>
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/// Interpolate using the specified function.
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/// </summary>
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public static double Interpolate(double p, Functions function)
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{
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switch (function)
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{
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default:
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case Functions.Linear: return Linear(p);
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case Functions.QuadraticEaseOut: return QuadraticEaseOut(p);
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case Functions.QuadraticEaseIn: return QuadraticEaseIn(p);
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case Functions.QuadraticEaseInOut: return QuadraticEaseInOut(p);
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case Functions.CubicEaseIn: return CubicEaseIn(p);
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case Functions.CubicEaseOut: return CubicEaseOut(p);
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case Functions.CubicEaseInOut: return CubicEaseInOut(p);
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case Functions.QuarticEaseIn: return QuarticEaseIn(p);
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case Functions.QuarticEaseOut: return QuarticEaseOut(p);
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case Functions.QuarticEaseInOut: return QuarticEaseInOut(p);
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case Functions.QuinticEaseIn: return QuinticEaseIn(p);
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case Functions.QuinticEaseOut: return QuinticEaseOut(p);
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case Functions.QuinticEaseInOut: return QuinticEaseInOut(p);
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case Functions.SineEaseIn: return SineEaseIn(p);
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case Functions.SineEaseOut: return SineEaseOut(p);
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case Functions.SineEaseInOut: return SineEaseInOut(p);
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case Functions.CircularEaseIn: return CircularEaseIn(p);
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case Functions.CircularEaseOut: return CircularEaseOut(p);
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case Functions.CircularEaseInOut: return CircularEaseInOut(p);
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case Functions.ExponentialEaseIn: return ExponentialEaseIn(p);
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case Functions.ExponentialEaseOut: return ExponentialEaseOut(p);
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case Functions.ExponentialEaseInOut: return ExponentialEaseInOut(p);
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case Functions.ElasticEaseIn: return ElasticEaseIn(p);
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case Functions.ElasticEaseOut: return ElasticEaseOut(p);
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case Functions.ElasticEaseInOut: return ElasticEaseInOut(p);
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case Functions.BackEaseIn: return BackEaseIn(p);
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case Functions.BackEaseOut: return BackEaseOut(p);
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case Functions.BackEaseInOut: return BackEaseInOut(p);
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case Functions.BounceEaseIn: return BounceEaseIn(p);
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case Functions.BounceEaseOut: return BounceEaseOut(p);
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case Functions.BounceEaseInOut: return BounceEaseInOut(p);
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case Functions.Step: return Step(p);
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}
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}
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/// <summary>
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/// Modeled after the line y = x
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/// </summary>
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public static double Linear(double p)
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{
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return p;
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}
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/// <summary>
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/// Modeled after the parabola y = x^2
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/// </summary>
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public static double QuadraticEaseIn(double p)
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{
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return p * p;
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}
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/// <summary>
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/// Modeled after the parabola y = -x^2 + 2x
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/// </summary>
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public static double QuadraticEaseOut(double p)
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{
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return -(p * (p - 2));
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}
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/// <summary>
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/// Modeled after the piecewise quadratic
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/// y = (1/2)((2x)^2) ; [0, 0.5)
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/// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
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/// </summary>
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public static double QuadraticEaseInOut(double p)
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{
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if (p < 0.5)
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return 2 * p * p;
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return -2 * p * p + 4 * p - 1;
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}
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/// <summary>
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/// Modeled after the cubic y = x^3
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/// </summary>
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public static double CubicEaseIn(double p)
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{
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return p * p * p;
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}
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/// <summary>
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/// Modeled after the cubic y = (x - 1)^3 + 1
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/// </summary>
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public static double CubicEaseOut(double p)
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{
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double f = p - 1;
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return f * f * f + 1;
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}
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/// <summary>
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/// Modeled after the piecewise cubic
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/// y = (1/2)((2x)^3) ; [0, 0.5)
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/// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
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/// </summary>
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public static double CubicEaseInOut(double p)
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{
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if (p < 0.5)
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return 4 * p * p * p;
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double f = 2 * p - 2;
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return 0.5 * f * f * f + 1;
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}
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/// <summary>
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/// Modeled after the quartic x^4
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/// </summary>
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public static double QuarticEaseIn(double p)
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{
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return p * p * p * p;
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}
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/// <summary>
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/// Modeled after the quartic y = 1 - (x - 1)^4
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/// </summary>
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public static double QuarticEaseOut(double p)
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{
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double f = p - 1;
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return f * f * f * (1 - p) + 1;
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}
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/// <summary>
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/// Modeled after the piecewise quartic
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/// y = (1/2)((2x)^4) ; [0, 0.5)
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/// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
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/// </summary>
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public static double QuarticEaseInOut(double p)
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{
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if (p < 0.5)
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return 8 * p * p * p * p;
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double f = p - 1;
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return -8 * f * f * f * f + 1;
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}
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/// <summary>
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/// Modeled after the quintic y = x^5
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/// </summary>
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public static double QuinticEaseIn(double p)
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{
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return p * p * p * p * p;
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}
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/// <summary>
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/// Modeled after the quintic y = (x - 1)^5 + 1
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/// </summary>
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public static double QuinticEaseOut(double p)
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{
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double f = p - 1;
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return f * f * f * f * f + 1;
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}
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/// <summary>
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/// Modeled after the piecewise quintic
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/// y = (1/2)((2x)^5) ; [0, 0.5)
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/// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
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/// </summary>
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public static double QuinticEaseInOut(double p)
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{
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if (p < 0.5)
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return 16 * p * p * p * p * p;
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double f = 2 * p - 2;
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return 0.5 * f * f * f * f * f + 1;
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}
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/// <summary>
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/// Modeled after quarter-cycle of sine wave
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/// </summary>
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public static double SineEaseIn(double p)
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{
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return Math.Sin((p - 1) * HALFPI) + 1;
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}
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/// <summary>
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/// Modeled after quarter-cycle of sine wave (different phase)
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/// </summary>
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public static double SineEaseOut(double p)
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{
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return Math.Sin(p * HALFPI);
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}
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/// <summary>
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/// Modeled after half sine wave
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/// </summary>
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public static double SineEaseInOut(double p)
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{
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return 0.5 * (1 - Math.Cos(p * PI));
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}
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/// <summary>
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/// Modeled after shifted quadrant IV of unit circle
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/// </summary>
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public static double CircularEaseIn(double p)
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{
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return 1 - Math.Sqrt(1 - p * p);
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}
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/// <summary>
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/// Modeled after shifted quadrant II of unit circle
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/// </summary>
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public static double CircularEaseOut(double p)
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{
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return Math.Sqrt((2 - p) * p);
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}
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/// <summary>
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/// Modeled after the piecewise circular function
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/// y = (1/2)(1 - Math.Sqrt(1 - 4x^2)) ; [0, 0.5)
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/// y = (1/2)(Math.Sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
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/// </summary>
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public static double CircularEaseInOut(double p)
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{
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if (p < 0.5)
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return 0.5 * (1 - Math.Sqrt(1 - 4 * (p * p)));
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return 0.5 * (Math.Sqrt(-(2 * p - 3) * (2 * p - 1)) + 1);
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}
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/// <summary>
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/// Modeled after the exponential function y = 2^(10(x - 1))
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/// </summary>
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public static double ExponentialEaseIn(double p)
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{
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return p == 0.0 ? p : Math.Pow(2, 10 * (p - 1));
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}
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/// <summary>
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/// Modeled after the exponential function y = -2^(-10x) + 1
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/// </summary>
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public static double ExponentialEaseOut(double p)
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{
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return p == 1.0 ? p : 1 - Math.Pow(2, -10 * p);
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}
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/// <summary>
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/// Modeled after the piecewise exponential
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/// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
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/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
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/// </summary>
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public static double ExponentialEaseInOut(double p)
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{
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if (p == 0.0 || p == 1.0) return p;
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if (p < 0.5)
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return 0.5 * Math.Pow(2, 20 * p - 10);
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return -0.5 * Math.Pow(2, -20 * p + 10) + 1;
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}
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/// <summary>
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/// Modeled after the damped sine wave y = sin(13pi/2*x)*Math.Pow(2, 10 * (x - 1))
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/// </summary>
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public static double ElasticEaseIn(double p)
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{
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return Math.Sin(13 * HALFPI * p) * Math.Pow(2, 10 * (p - 1));
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}
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/// <summary>
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/// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*Math.Pow(2, -10x) + 1
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/// </summary>
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public static double ElasticEaseOut(double p)
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{
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return Math.Sin(-13 * HALFPI * (p + 1)) * Math.Pow(2, -10 * p) + 1;
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}
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/// <summary>
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/// Modeled after the piecewise exponentially-damped sine wave:
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/// y = (1/2)*sin(13pi/2*(2*x))*Math.Pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
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/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*Math.Pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
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/// </summary>
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public static double ElasticEaseInOut(double p)
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{
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if (p < 0.5)
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return 0.5 * Math.Sin(13 * HALFPI * (2 * p)) * Math.Pow(2, 10 * (2 * p - 1));
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return 0.5 * (Math.Sin(-13 * HALFPI * (2 * p - 1 + 1)) * Math.Pow(2, -10 * (2 * p - 1)) + 2);
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}
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/// <summary>
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/// Modeled after the overshooting cubic y = x^3-x*sin(x*pi)
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/// </summary>
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public static double BackEaseIn(double p)
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{
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return p * p * p - p * Math.Sin(p * PI);
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}
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/// <summary>
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/// Modeled after overshooting cubic y = 1-((1-x)^3-(1-x)*sin((1-x)*pi))
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/// </summary>
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public static double BackEaseOut(double p)
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{
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double f = 1 - p;
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return 1 - (f * f * f - f * Math.Sin(f * PI));
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}
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/// <summary>
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/// Modeled after the piecewise overshooting cubic function:
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/// y = (1/2)*((2x)^3-(2x)*sin(2*x*pi)) ; [0, 0.5)
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/// y = (1/2)*(1-((1-x)^3-(1-x)*sin((1-x)*pi))+1) ; [0.5, 1]
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/// </summary>
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public static double BackEaseInOut(double p)
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{
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if (p < 0.5)
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{
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double f = 2 * p;
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return 0.5 * (f * f * f - f * Math.Sin(f * PI));
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}
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else
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{
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double f = 1 - (2 * p - 1);
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return 0.5 * (1 - (f * f * f - f * Math.Sin(f * PI))) + 0.5;
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}
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}
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/// <summary>
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/// </summary>
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public static double BounceEaseIn(double p)
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{
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return 1 - BounceEaseOut(1 - p);
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}
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/// <summary>
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/// </summary>
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public static double BounceEaseOut(double p)
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{
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if (p < 4 / 11.0)
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return 121 * p * p / 16.0;
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if (p < 8 / 11.0)
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return 363 / 40.0 * p * p - 99 / 10.0 * p + 17 / 5.0;
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if (p < 9 / 10.0)
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return 4356 / 361.0 * p * p - 35442 / 1805.0 * p + 16061 / 1805.0;
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return 54 / 5.0 * p * p - 513 / 25.0 * p + 268 / 25.0;
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}
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/// <summary>
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/// </summary>
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public static double BounceEaseInOut(double p)
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{
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if (p < 0.5)
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return 0.5 * BounceEaseIn(p * 2);
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return 0.5 * BounceEaseOut(p * 2 - 1) + 0.5;
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}
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/// <summary>
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/// An snappy animation that moves instantly to the next destination on the next keyframe
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/// </summary>
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public static double Step(double p)
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{
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return Math.Floor(p);
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}
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/// <summary>
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/// Easing Functions enumeration
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/// </summary>
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public enum Functions
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{
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Linear,
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QuadraticEaseIn,
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QuadraticEaseOut,
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QuadraticEaseInOut,
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CubicEaseIn,
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CubicEaseOut,
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CubicEaseInOut,
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QuarticEaseIn,
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QuarticEaseOut,
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QuarticEaseInOut,
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QuinticEaseIn,
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QuinticEaseOut,
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QuinticEaseInOut,
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SineEaseIn,
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SineEaseOut,
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SineEaseInOut,
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CircularEaseIn,
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CircularEaseOut,
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CircularEaseInOut,
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ExponentialEaseIn,
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ExponentialEaseOut,
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ExponentialEaseInOut,
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ElasticEaseIn,
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ElasticEaseOut,
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ElasticEaseInOut,
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BackEaseIn,
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BackEaseOut,
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BackEaseInOut,
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BounceEaseIn,
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BounceEaseOut,
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BounceEaseInOut,
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Step
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}
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} |