+#ifndef STANDALONE
+#include "lily-proto.hh"
+Interval itemlist_width (const Link_array<Item> &its);
+#endif
+
+void set_frobnify (void*, size_t);
+int get_lower_bound (Array<Real> const& positions, Real x);
+Slice get_bounds_slice (Array<Real> const& positions, Real x);
+Interval get_bounds_iv (Array<Real> const& positions, Real x);
+Interval quantise_iv (Array<Real> const& positions, Real period, Real x);