Hi, I recently wrote this applicative functor: data OneStep a = OneStep a [a] instance Functor OneStep where fmap f (OneStep o s) = OneStep (f o) (map f s) instance Applicative OneStep where pure x = OneStep x [] OneStep f fs <*> OneStep x xs = OneStep (f x) (map ($x) fs ++ map f xs) takeOneStep :: OneStep t -> [t] takeOneStep (OneStep _ xs) = xs This was useful in the context of writing a shrink for QuickCheck, as discussed at http://stackoverflow.com/a/41944525/946226. Now I wonder: Does this functor have a proper name? Does it already exist in the libraries somewhere? Should it? Greetings, Joachim -- Joachim “nomeata” Breitner mail@joachim-breitner.de • https://www.joachim-breitner.de/ XMPP: nomeata@joachim-breitner.de • OpenPGP-Key: 0xF0FBF51F Debian Developer: nomeata@debian.org