Double Action Locks & Strikeplates as suggested are for use with doors that swing in both directions and enable the door to both latch and be locked in the usual way.
Royde & Tucker’s locks include both traditional 72mm and 57mm sizes but only include for bathroom functionality (to suit lever handles and bathroom turn/emergency release) as this is the primary requirement for double action doorsets.
The robust design incorporates a brass rollerbolt for latching, solid brass deadbolt and brass 8mm follower for both levers and turn.