# modeling/src/maths/plane/fromPointsRandom.js

``````const { EPS } = require('../constants')

const vec3 = require('../vec3')

/**
* Create a new plane from the given points like fromPoints,
* but allow the vectors to be on one point or one line.
* In such a case, a random plane through the given points is constructed.
*
* @param {plane} out - receiving plane
* @param {vec3} a - 3D point
* @param {vec3} b - 3D point
* @param {vec3} c - 3D point
* @returns {plane} out
* @alias module:modeling/maths/plane.fromPointsRandom
*/
const fromPointsRandom = (out, a, b, c) => {
let ba = vec3.subtract(vec3.create(), b, a)
let ca = vec3.subtract(vec3.create(), c, a)
if (vec3.length(ba) < EPS) {
ba = vec3.orthogonal(ba, ca)
}
if (vec3.length(ca) < EPS) {
ca = vec3.orthogonal(ca, ba)
}
let normal = vec3.cross(vec3.create(), ba, ca)
if (vec3.length(normal) < EPS) {
// this would mean that ba == ca.negated()
ca = vec3.orthogonal(ca, ba)
normal = vec3.cross(normal, ba, ca)
}
normal = vec3.normalize(normal, normal)
const w = vec3.dot(normal, a)

out[0] = normal[0]
out[1] = normal[1]
out[2] = normal[2]
out[3] = w
return out
}

module.exports = fromPointsRandom
``````