Function continuous_line3_sphere3

Source
pub fn continuous_line3_sphere3<S>(
    line: &Line3<S>,
    sphere: &Sphere3<S>,
) -> Option<((S, Point3<S>), (S, Point3<S>))>
where S: Real,
Expand description

Compute the continuous intersection of a 3D line with a 3D sphere.

If the line and sphere intersect, the two intersection points are returned with the scalar parameter corresponding to that point along the line.

let sphere = Sphere3::unit();
let line   = Line3::new  ([0.0, 0.0, 0.0].into(), Unit3::axis_x());
assert_eq!(
  continuous_line3_sphere3 (&line, &sphere).unwrap(),
  ( (-1.0, [-1.0, 0.0, 0.0].into()),
    ( 1.0, [ 1.0, 0.0, 0.0].into())
  )
);

Returns None if the line and sphere are tangent:

let sphere = Sphere3::unit();
let line   = Line3::new  ([0.0, 0.0, 1.0].into(), Unit3::axis_x());
assert_eq!(continuous_line3_sphere3 (&line, &sphere), None);