Created
January 15, 2023 09:54
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Collection of easing functions
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/* | |
## All functions return a number, which is guaranteed to start at 0 and end at 1 | |
f(t), where t in [0..1] | |
f(0) -> 0 | |
f(1) -> 1 | |
*/ | |
export const easing = { | |
// No easing, no acceleration | |
linear: (t) => t, | |
// Accelerates fast, then slows quickly towards end. | |
quadratic: (t) => t * (-(t * t) * t + 4 * t * t - 6 * t + 4), | |
// Overshoots over 1 and then returns to 1 towards end. | |
cubic: (t) => t * (4 * t * t - 9 * t + 6), | |
// Overshoots over 1 multiple times - wiggles around 1. | |
elastic: (t) => t * (33 * t * t * t * t - 106 * t * t * t + 126 * t * t - 67 * t + 15), | |
// Accelerating from zero velocity | |
inQuad: (t) => t * t, | |
// Decelerating to zero velocity | |
outQuad: (t) => t * (2 - t), | |
// Acceleration until halfway, then deceleration | |
inOutQuad: (t) => t <.5 ? 2 * t * t : -1 + (4 - 2 * t) * t, | |
// Accelerating from zero velocity | |
inCubic: (t) => t * t * t, | |
// Decelerating to zero velocity | |
outCubic: (t) => (--t) * t * t + 1, | |
// Acceleration until halfway, then deceleration | |
inOutCubic: (t) => t <.5 ? 4 * t * t * t : (t - 1) * (2 * t - 2) * (2 * t - 2) + 1, | |
// Accelerating from zero velocity | |
inQuart: (t) => t * t * t * t, | |
// Decelerating to zero velocity | |
outQuart: (t) => 1 - (--t) * t * t * t, | |
// Acceleration until halfway, then deceleration | |
inOutQuart: (t) => t <.5 ? 8 * t * t * t * t : 1 - 8 * (--t) * t * t * t, | |
// Accelerating from zero velocity | |
inQuint: (t) => t * t * t * t * t, | |
// Decelerating to zero velocity | |
outQuint: (t) => 1 + (--t) * t * t * t * t, | |
// Acceleration until halfway, then deceleration | |
inOutQuint: (t) => t < .5 ? 16 * t * t * t * t * t : 1 + 16 * (--t) * t * t * t * t, | |
// Accelerating from zero velocity | |
inSine: (t) => -Math.cos(t * (Math.PI / 2)) + 1, | |
// Decelerating to zero velocity | |
outSine: (t) => Math.sin(t * (Math.PI / 2)), | |
// Accelerating until halfway, then decelerating | |
inOutSine: (t) => -(Math.cos(Math.PI * t) - 1) / 2, | |
// Exponential accelerating from zero velocity | |
inExpo: (t) => Math.pow(2, 10 * (t - 1)), | |
// Exponential decelerating to zero velocity | |
outExpo: (t) => -Math.pow(2, -10 * t) + 1, | |
// Exponential accelerating until halfway, then decelerating | |
inOutExpo: (t) => { | |
t /= .5; | |
if (t < 1) return Math.pow(2, 10 * (t - 1)) / 2; | |
t--; | |
return (-Math.pow( 2, -10 * t) + 2) / 2; | |
}, | |
// Circular accelerating from zero velocity | |
inCirc: (t) => -Math.sqrt(1 - t * t) + 1, | |
// Circular decelerating to zero velocity Moves VERY fast at the beginning and | |
// then quickly slows down in the middle. This tween can actually be used | |
// in continuous transitions where target value changes all the time, | |
// because of the very quick start, it hides the jitter between target value changes. | |
outCirc: (t) => Math.sqrt(1 - (t = t - 1) * t), | |
// Circular acceleration until halfway, then deceleration | |
inOutCirc: (t) => { | |
t /= .5; | |
if (t < 1) return -(Math.sqrt(1 - t * t) - 1) / 2; | |
t -= 2; | |
return (Math.sqrt(1 - t * t) + 1) / 2; | |
} | |
} |
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