CGAL 4.6.2 - 2D and 3D Linear Geometry Kernel
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CGAL::do_overlap()

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.