@woosh/meep-engine/src/core/geom/3d/sphere/sphere_intersects_point.js

Pure JavaScript game engine. Fully featured and production ready.

/**
 *
 * @param {number} center_x
 * @param {number} center_y
 * @param {number} center_z
 * @param {number} radius
 * @param {number} p_x reference point X coordinate
 * @param {number} p_y reference point Y coordinate
 * @param {number} p_z reference point Z coordinate
 * @returns {boolean}
 */
export function sphere_intersects_point(
    center_x, center_y, center_z, radius,
    p_x, p_y, p_z
) {

    //compute offset vector
    const dx = center_x - p_x;
    const dy = center_y - p_y;
    const dz = center_z - p_z;

    //compute distance between center and the point
    const distance_sqr = dx * dx + dy * dy + dz * dz;

    //to avoid taking square root, we will compare squared distances
    const radius_sqr = radius * radius;

    return distance_sqr < radius_sqr;
}