@woosh/meep-engine/src/core/geom/random/randomPointInSphere.js

Pure JavaScript game engine. Fully featured and production ready.

import { PI2 } from "../../math/PI2.js";

/**
 * Unit sphere with Radius = 1
 * @see based on python code suggested here: https://stackoverflow.com/questions/5408276/sampling-uniformly-distributed-random-points-inside-a-spherical-volume
 * @param {function} random
 * @param {number[]} result
 * @param {number} result_offset
 */
export function randomPointInSphere(random, result, result_offset) {
    const phi = PI2 * random();

    const cosTheta = random() * 2 - 1;

    const u = random();

    const theta = Math.acos(cosTheta);

    // compute radius
    const r = Math.cbrt(u);

    const sinTheta = Math.sin(theta);

    //compute coordinates
    const rst = r * sinTheta;

    const x = rst * Math.cos(phi);
    const y = rst * Math.sin(phi);
    const z = r * cosTheta;

    //write the result
    result[result_offset] = x;
    result[result_offset + 1] = y;
    result[result_offset + 2] = z;
}