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import { EasingFunction } from '@react-spring/types'
import { clamp } from './clamp'
export type Direction = 'start' | 'end'
type StepsEasing = (steps: number, direction?: Direction) => EasingFunction
const steps: StepsEasing =
(steps: number, direction: Direction = 'end') =>
(progress: number) => {
progress =
direction === 'end'
? Math.min(progress, 0.999)
: Math.max(progress, 0.001)
const expanded = progress * steps
const rounded =
direction === 'end' ? Math.floor(expanded) : Math.ceil(expanded)
return clamp(0, 1, rounded / steps)
}
/**
* With thanks to ai easings.net
* https://github.com/ai/easings.net/blob/master/src/easings/easingsFunctions.ts
*/
interface EasingDictionary {
linear: (t: number) => number
easeInQuad: (t: number) => number
easeOutQuad: (t: number) => number
easeInOutQuad: (t: number) => number
easeInCubic: (t: number) => number
easeOutCubic: (t: number) => number
easeInOutCubic: (t: number) => number
easeInQuart: (t: number) => number
easeOutQuart: (t: number) => number
easeInOutQuart: (t: number) => number
easeInQuint: (t: number) => number
easeOutQuint: (t: number) => number
easeInOutQuint: (t: number) => number
easeInSine: (t: number) => number
easeOutSine: (t: number) => number
easeInOutSine: (t: number) => number
easeInExpo: (t: number) => number
easeOutExpo: (t: number) => number
easeInOutExpo: (t: number) => number
easeInCirc: (t: number) => number
easeOutCirc: (t: number) => number
easeInOutCirc: (t: number) => number
easeInBack: (t: number) => number
easeOutBack: (t: number) => number
easeInOutBack: (t: number) => number
easeInElastic: (t: number) => number
easeOutElastic: (t: number) => number
easeInOutElastic: (t: number) => number
easeInBounce: (t: number) => number
easeOutBounce: (t: number) => number
easeInOutBounce: (t: number) => number
steps: StepsEasing
}
const c1 = 1.70158
const c2 = c1 * 1.525
const c3 = c1 + 1
const c4 = (2 * Math.PI) / 3
const c5 = (2 * Math.PI) / 4.5
const bounceOut: EasingFunction = x => {
const n1 = 7.5625
const d1 = 2.75
if (x < 1 / d1) {
return n1 * x * x
} else if (x < 2 / d1) {
return n1 * (x -= 1.5 / d1) * x + 0.75
} else if (x < 2.5 / d1) {
return n1 * (x -= 2.25 / d1) * x + 0.9375
} else {
return n1 * (x -= 2.625 / d1) * x + 0.984375
}
}
export const easings: EasingDictionary = {
linear: x => x,
easeInQuad: x => x * x,
easeOutQuad: x => 1 - (1 - x) * (1 - x),
easeInOutQuad: x => (x < 0.5 ? 2 * x * x : 1 - Math.pow(-2 * x + 2, 2) / 2),
easeInCubic: x => x * x * x,
easeOutCubic: x => 1 - Math.pow(1 - x, 3),
easeInOutCubic: x =>
x < 0.5 ? 4 * x * x * x : 1 - Math.pow(-2 * x + 2, 3) / 2,
easeInQuart: x => x * x * x * x,
easeOutQuart: x => 1 - Math.pow(1 - x, 4),
easeInOutQuart: x =>
x < 0.5 ? 8 * x * x * x * x : 1 - Math.pow(-2 * x + 2, 4) / 2,
easeInQuint: x => x * x * x * x * x,
easeOutQuint: x => 1 - Math.pow(1 - x, 5),
easeInOutQuint: x =>
x < 0.5 ? 16 * x * x * x * x * x : 1 - Math.pow(-2 * x + 2, 5) / 2,
easeInSine: x => 1 - Math.cos((x * Math.PI) / 2),
easeOutSine: x => Math.sin((x * Math.PI) / 2),
easeInOutSine: x => -(Math.cos(Math.PI * x) - 1) / 2,
easeInExpo: x => (x === 0 ? 0 : Math.pow(2, 10 * x - 10)),
easeOutExpo: x => (x === 1 ? 1 : 1 - Math.pow(2, -10 * x)),
easeInOutExpo: x =>
x === 0
? 0
: x === 1
? 1
: x < 0.5
? Math.pow(2, 20 * x - 10) / 2
: (2 - Math.pow(2, -20 * x + 10)) / 2,
easeInCirc: x => 1 - Math.sqrt(1 - Math.pow(x, 2)),
easeOutCirc: x => Math.sqrt(1 - Math.pow(x - 1, 2)),
easeInOutCirc: x =>
x < 0.5
? (1 - Math.sqrt(1 - Math.pow(2 * x, 2))) / 2
: (Math.sqrt(1 - Math.pow(-2 * x + 2, 2)) + 1) / 2,
easeInBack: x => c3 * x * x * x - c1 * x * x,
easeOutBack: x => 1 + c3 * Math.pow(x - 1, 3) + c1 * Math.pow(x - 1, 2),
easeInOutBack: x =>
x < 0.5
? (Math.pow(2 * x, 2) * ((c2 + 1) * 2 * x - c2)) / 2
: (Math.pow(2 * x - 2, 2) * ((c2 + 1) * (x * 2 - 2) + c2) + 2) / 2,
easeInElastic: x =>
x === 0
? 0
: x === 1
? 1
: -Math.pow(2, 10 * x - 10) * Math.sin((x * 10 - 10.75) * c4),
easeOutElastic: x =>
x === 0
? 0
: x === 1
? 1
: Math.pow(2, -10 * x) * Math.sin((x * 10 - 0.75) * c4) + 1,
easeInOutElastic: x =>
x === 0
? 0
: x === 1
? 1
: x < 0.5
? -(Math.pow(2, 20 * x - 10) * Math.sin((20 * x - 11.125) * c5)) / 2
: (Math.pow(2, -20 * x + 10) * Math.sin((20 * x - 11.125) * c5)) / 2 +
1,
easeInBounce: x => 1 - bounceOut(1 - x),
easeOutBounce: bounceOut,
easeInOutBounce: x =>
x < 0.5 ? (1 - bounceOut(1 - 2 * x)) / 2 : (1 + bounceOut(2 * x - 1)) / 2,
steps,
} as const
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