Get nearest point in a convex hull from a given point

[chrismwendt]

If the point is in the convex hull, the nearest point is itself. Otherwise, the nearest point is the nearest point on any face.

nearest_in_convex_hull(point, hull):
    if point_is_in_convex_hull(point, hull):
        return 0
    else:
        return min(nearest_on_face(point, face) for face in hull.faces, lambda  p: return distance(point, p))

nearest_on_face(point, face):
    return min(face.vertices +
        [nearest_on_edge(point, edge) for edge in face.edges] +
        nearest_on_plane(point, Plane(face.vertices))

nearest_on_edge and nearest_on_plane to be implemented...

[chrismwendt]

Completed in commit 70cb80b0dead6c8e97671cddeca0259bda642cf8.