\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 2D and 3D Linear Geometry Kernel

bool do_overlap (const Bbox_2 &bb1, const Bbox_2 &bb2)
 returns true iff bb1 and bb2 overlap, i.e., iff their intersection is non-empty.
 
bool do_overlap (const Bbox_3 &bb1, const Bbox_3 &bb2)
 returns true iff bb1 and bb2 overlap, i.e., iff their intersection is non-empty.