OtterPlayGround/Otter/Utility/Glide/Ease.cs

using System;

namespace Otter {
    /// <summary>
    /// Static class with useful easer functions that can be used by Tweens.
    /// </summary>
    public static class Ease {
        const float PI = 3.14159f;
        const float PI2 = PI / 2;
        const float B1 = 1 / 2.75f;
        const float B2 = 2 / 2.75f;
        const float B3 = 1.5f / 2.75f;
        const float B4 = 2.5f / 2.75f;
        const float B5 = 2.25f / 2.75f;
        const float B6 = 2.625f / 2.75f;

        /// <summary>
        /// Ease a value to its target and then back. Use this to wrap another easing function.
        /// </summary>
        public static Func<float, float> ToAndFro(Func<float, float> easer) {
            return t => ToAndFro(easer(t));
        }

        /// <summary>
        /// Ease a value to its target and then back.
        /// </summary>
        public static float ToAndFro(float t) {
            return t < 0.5f ? t * 2 : 1 + ((t - 0.5f) / 0.5f) * -1;
        }

        /// <summary>
        /// Linear.
        /// </summary>
        /// <param name="t">Time.</param>
        /// <returns>Eased timescale.</returns>
        public static float Linear(float t) {
            return t;
        }

        /// <summary>
        /// Elastic in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ElasticIn(float t) {
            return (float)(Math.Sin(13 * PI2 * t) * Math.Pow(2, 10 * (t - 1)));
        }

        /// <summary>
        /// Elastic out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ElasticOut(float t) {
            if (t == 1) return 1;
            return (float)(Math.Sin(-13 * PI2 * (t + 1)) * Math.Pow(2, -10 * t) + 1);
        }

        /// <summary>
        /// Elastic in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ElasticInOut(float t) {
            if (t < 0.5) {
                return (float)(0.5 * Math.Sin(13 * PI2 * (2 * t)) * Math.Pow(2, 10 * ((2 * t) - 1)));
            }

            return (float)(0.5 * (Math.Sin(-13 * PI2 * ((2 * t - 1) + 1)) * Math.Pow(2, -10 * (2 * t - 1)) + 2));
        }

        /// <summary>
        /// Quadratic in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuadIn(float t) {
            return (float)(t * t);
        }

        /// <summary>
        /// Quadratic out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuadOut(float t) {
            return (float)(-t * (t - 2));
        }

        /// <summary>
        /// Quadratic in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuadInOut(float t) {
            return (float)(t <= .5 ? t * t * 2 : 1 - (--t) * t * 2);
        }

        /// <summary>
        /// Cubic in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CubeIn(float t) {
            return (float)(t * t * t);
        }

        /// <summary>
        /// Cubic out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CubeOut(float t) {
            return (float)(1 + (--t) * t * t);
        }

        /// <summary>
        /// Cubic in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CubeInOut(float t) {
            return (float)(t <= .5 ? t * t * t * 4 : 1 + (--t) * t * t * 4);
        }

        /// <summary>
        /// Quart in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuartIn(float t) {
            return (float)(t * t * t * t);
        }

        /// <summary>
        /// Quart out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuartOut(float t) {
            return (float)(1 - (t -= 1) * t * t * t);
        }

        /// <summary>
        /// Quart in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuartInOut(float t) {
            return (float)(t <= .5 ? t * t * t * t * 8 : (1 - (t = t * 2 - 2) * t * t * t) / 2 + .5);
        }

        /// <summary>
        /// Quint in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuintIn(float t) {
            return (float)(t * t * t * t * t);
        }

        /// <summary>
        /// Quint out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuintOut(float t) {
            return (float)((t = t - 1) * t * t * t * t + 1);
        }

        /// <summary>
        /// Quint in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float QuintInOut(float t) {
            return (float)(((t *= 2) < 1) ? (t * t * t * t * t) / 2 : ((t -= 2) * t * t * t * t + 2) / 2);
        }

        /// <summary>
        /// Sine in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float SineIn(float t) {
            if (t == 1) return 1;
            return (float)(-Math.Cos(PI2 * t) + 1);
        }

        /// <summary>
        /// Sine out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float SineOut(float t) {
            return (float)(Math.Sin(PI2 * t));
        }

        /// <summary>
        /// Sine in and out
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float SineInOut(float t) {
            return (float)(-Math.Cos(PI * t) / 2 + .5);
        }

        /// <summary>
        /// Bounce in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BounceIn(float t) {
            t = 1 - t;
            if (t < B1) return (float)(1 - 7.5625 * t * t);
            if (t < B2) return (float)(1 - (7.5625 * (t - B3) * (t - B3) + .75));
            if (t < B4) return (float)(1 - (7.5625 * (t - B5) * (t - B5) + .9375));
            return (float)(1 - (7.5625 * (t - B6) * (t - B6) + .984375));
        }

        /// <summary>
        /// Bounce out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BounceOut(float t) {
            if (t < B1) return (float)(7.5625 * t * t);
            if (t < B2) return (float)(7.5625 * (t - B3) * (t - B3) + .75);
            if (t < B4) return (float)(7.5625 * (t - B5) * (t - B5) + .9375);
            return (float)(7.5625 * (t - B6) * (t - B6) + .984375);
        }

        /// <summary>
        /// Bounce in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BounceInOut(float t) {
            if (t < .5) {
                t = 1 - t * 2;
                if (t < B1) return (float)((1 - 7.5625 * t * t) / 2);
                if (t < B2) return (float)((1 - (7.5625 * (t - B3) * (t - B3) + .75)) / 2);
                if (t < B4) return (float)((1 - (7.5625 * (t - B5) * (t - B5) + .9375)) / 2);
                return (float)((1 - (7.5625 * (t - B6) * (t - B6) + .984375)) / 2);
            }
            t = t * 2 - 1;
            if (t < B1) return (float)((7.5625 * t * t) / 2 + .5);
            if (t < B2) return (float)((7.5625 * (t - B3) * (t - B3) + .75) / 2 + .5);
            if (t < B4) return (float)((7.5625 * (t - B5) * (t - B5) + .9375) / 2 + .5);
            return (float)((7.5625 * (t - B6) * (t - B6) + .984375) / 2 + .5);
        }

        /// <summary>
        /// Circle in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CircIn(float t) {
            return (float)(-(Math.Sqrt(1 - t * t) - 1));
        }

        /// <summary>
        /// Circle out
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CircOut(float t) {
            return (float)(Math.Sqrt(1 - (t - 1) * (t - 1)));
        }

        /// <summary>
        /// Circle in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float CircInOut(float t) {
            return (float)(t <= .5 ? (Math.Sqrt(1 - t * t * 4) - 1) / -2 : (Math.Sqrt(1 - (t * 2 - 2) * (t * 2 - 2)) + 1) / 2);
        }

        /// <summary>
        /// Exponential in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ExpoIn(float t) {
            return (float)(Math.Pow(2, 10 * (t - 1)));
        }

        /// <summary>
        /// Exponential out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ExpoOut(float t) {
            if (t == 1) return 1;
            return (float)(-Math.Pow(2, -10 * t) + 1);
        }

        /// <summary>
        /// Exponential in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float ExpoInOut(float t) {
            if (t == 1) return 1;
            return (float)(t < .5 ? Math.Pow(2, 10 * (t * 2 - 1)) / 2 : (-Math.Pow(2, -10 * (t * 2 - 1)) + 2) / 2);
        }

        /// <summary>
        /// Back in.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BackIn(float t) {
            return (float)(t * t * (2.70158 * t - 1.70158));
        }

        /// <summary>
        /// Back out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BackOut(float t) {
            return (float)(1 - (--t) * (t) * (-2.70158 * t - 1.70158));
        }

        /// <summary>
        /// Back in and out.
        /// </summary>
        /// <param name="t">Time elapsed.</param>
        /// <returns>Eased timescale.</returns>
        public static float BackInOut(float t) {
            t *= 2;
            if (t < 1) return (float)(t * t * (2.70158 * t - 1.70158) / 2);
            t--;
            return (float)((1 - (--t) * (t) * (-2.70158 * t - 1.70158)) / 2 + .5);
        }
    }
}