Last active
June 23, 2022 09:50
-
-
Save bartwttewaall/02c998270a88871631568985e542c255 to your computer and use it in GitHub Desktop.
Bunch of small math methods like clamp and range
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
export const RAD2DEG = 180 / Math.PI; | |
export const DEG2RAD = Math.PI / 180; | |
// compute euclidean modulo of m % n | |
// https://en.wikipedia.org/wiki/Modulo_operation | |
export function euclideanModulo(n: number, m: number) { | |
return ((n % m) + m) % m; | |
} | |
export function clamp(value: number, min: number, max: number) { | |
return Math.max(min, Math.min(value, max)); | |
} | |
export function clamp01(value: number, min: number, max: number) { | |
return clamp(normalize(value, min, max), 0, 1); | |
} | |
export function wrap(value: number, min: number, max: number) { | |
const length = max - min; | |
return ((((value - min) % length) + length) % length) + min; | |
} | |
export function wrapLength(value: number, length: number) { | |
return wrap(value, 0, length); | |
} | |
// https://www.desmos.com/calculator/vcsjnyz7x4 | |
export function pingpong(value: number, length = 1) { | |
return length - Math.abs(euclideanModulo(value, length * 2) - length); | |
} | |
export function inRange(value: number, min: number, max: number) { | |
return value >= Math.min(min, max) && value <= Math.max(min, max); | |
} | |
export function normalize(value: number, min: number, max: number) { | |
if (max - min === 0) throw new Error("Invalid min & max values: would've divided by 0"); | |
return (value - min) / (max - min); | |
} | |
// https://en.wikipedia.org/wiki/Linear_interpolation | |
export function lerp(from: number, to: number, amount: number) { | |
// guarentees correct result without floating-point arithmetic error | |
return (1 - amount) * from + amount * to; | |
} | |
// https://www.gamedev.net/tutorials/programming/general-and-gameplay-programming/inverse-lerp-a-super-useful-yet-often-overlooked-function-r5230/ | |
export function inverseLerp(x: number, y: number, value: number) { | |
return x !== y ? (value - x) / (y - x) : 0; | |
} | |
// http://www.rorydriscoll.com/2016/03/07/frame-rate-independent-damping-using-lerp/ | |
export function damp(from: number, to: number, lambda: number, dt: number) { | |
return lerp(from, to, 1 - Math.exp(-lambda * dt)); | |
} | |
// remap takes a value within a given input range into a given output range | |
export function remap(iMin: number, iMax: number, oMin: number, oMax: number, value: number) { | |
return lerp(oMin, oMax, inverseLerp(iMin, iMax, value)); | |
} | |
// http://en.wikipedia.org/wiki/Smoothstep | |
export function smoothstep(value: number, min: number, max: number) { | |
if (value <= min) return 0; | |
if (value >= max) return 1; | |
value = (value - min) / (max - min); | |
return value * value * (3 - 2 * value); | |
} | |
export function smootherstep(value: number, min: number, max: number) { | |
if (value <= min) return 0; | |
if (value >= max) return 1; | |
value = (value - min) / (max - min); | |
return value * value * value * (value * (value * 6 - 15) + 10); | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment