# Easing functions

Written byPhuoc Nguyen

Created

25 Apr, 2020

Last updated

13 Oct, 2021

Category

Misc

**JavaScript version**

js

`// Some easing functions`

// See https://gist.github.com/gre/1650294 and https://easings.net

const linear = (t) => t;

const easeInQuad = (t) => t * t;

const easeOutQuad = (t) => t * (2 - t);

const easeInOutQuad = (t) => (t < 0.5 ? 2 * t * t : -1 + (4 - 2 * t) * t);

const easeInCubic = (t) => t * t * t;

const easeOutCubic = (t) => --t * t * t + 1;

const easeInOutCubic = (t) => (t < 0.5 ? 4 * t * t * t : (t - 1) * (2 * t - 2) * (2 * t - 2) + 1);

const easeInQuart = (t) => t * t * t * t;

const easeOutQuart = (t) => 1 - --t * t * t * t;

const easeInOutQuart = (t) => (t < 0.5 ? 8 * t * t * t * t : 1 - 8 * --t * t * t * t);

const easeInQuint = (t) => t * t * t * t * t;

const easeOutQuint = (t) => 1 + --t * t * t * t * t;

const easeInOutQuint = (t) => (t < 0.5 ? 16 * t * t * t * t * t : 1 + 16 * --t * t * t * t * t);

const easeInSine = (t) => 1 + Math.sin((Math.PI / 2) * t - Math.PI / 2);

const easeOutSine = (t) => Math.sin((Math.PI / 2) * t);

const easeInOutSine = (t) => (1 + Math.sin(Math.PI * t - Math.PI / 2)) / 2;

const easeInElastic = (t) => (0.04 - 0.04 / t) * Math.sin(25 * t) + 1;

const easeOutElastic = (t) => ((0.04 * t) / --t) * Math.sin(25 * t);

const easeInOutElastic = (t) =>

(t -= 0.5) < 0 ? (0.02 + 0.01 / t) * Math.sin(50 * t) : (0.02 - 0.01 / t) * Math.sin(50 * t) + 1;

**TypeScript version**

linear.ts

`const linear = (t: number): number => t;`

const easeInQuad = (t: number): number => t * t;

const easeOutQuad = (t: number): number => t * (2 - t);

const easeInOutQuad = (t: number): number => (t < 0.5 ? 2 * t * t : -1 + (4 - 2 * t) * t);

const easeInCubic = (t: number): number => t * t * t;

const easeOutCubic = (t: number): number => --t * t * t + 1;

const easeInOutCubic = (t: number): number => (t < 0.5 ? 4 * t * t * t : (t - 1) * (2 * t - 2) * (2 * t - 2) + 1);

const easeInQuart = (t: number): number => t * t * t * t;

const easeOutQuart = (t: number): number => 1 - --t * t * t * t;

const easeInOutQuart = (t: number): number => (t < 0.5 ? 8 * t * t * t * t : 1 - 8 * --t * t * t * t);

const easeInQuint = (t: number): number => t * t * t * t * t;

const easeOutQuint = (t: number): number => 1 + --t * t * t * t * t;

const easeInOutQuint = (t: number): number => (t < 0.5 ? 16 * t * t * t * t * t : 1 + 16 * --t * t * t * t * t);

const easeInSine = (t: number): number => 1 + Math.sin((Math.PI / 2) * t - Math.PI / 2);

const easeOutSine = (t: number): number => Math.sin((Math.PI / 2) * t);

const easeInOutSine = (t: number): number => (1 + Math.sin(Math.PI * t - Math.PI / 2)) / 2;

const easeInElastic = (t: number): number => (0.04 - 0.04 / t) * Math.sin(25 * t) + 1;

const easeOutElastic = (t: number): number => ((0.04 * t) / --t) * Math.sin(25 * t);

const easeInOutElastic = (t: number): number =>

(t -= 0.5) < 0 ? (0.02 + 0.01 / t) * Math.sin(50 * t) : (0.02 - 0.01 / t) * Math.sin(50 * t) + 1;

## Questions? 🙋

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