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