How are films that are digitally edited transferred to film for theatrical release?

I know that in the present, a lot of major motion pictures still have many scenes shot on film, then digitally transferred for editing. However, there some major films which use digital cameras exclusively. I also know that most movie theaters still project films using actual analog film, rather than digitally project it, which some theaters are starting to do for certain films. I was wondering how exactly the finished movie is transferred from a digital source to film.|||The device is called a film recorder.





The recording is the final step in a process called Digital Intermediate (DI):|||the final cut is saved on the computer and then exported to a reel, im not sure what the machine is called but it re writes the footage much like the same way footage is encoded and burned to a disc. in this case it is written to film