module Data.Functor.Syntax where
import Data.Composition
import Data.Function.Apply
(<$$>) :: (Functor f0, Functor f1) =>
(a -> b)
-> f1 (f0 a)
-> f1 (f0 b)
(<$$>) = fmap . fmap
infixr 8 <$$>
(<$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(a -> b)
-> f2 (f1 (f0 a))
-> f2 (f1 (f0 b))
(<$$$>) = fmap . fmap . fmap
infixr 8 <$$$>
(<$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(a -> b)
-> f3 (f2 (f1 (f0 a)))
-> f3 (f2 (f1 (f0 b)))
(<$$$$>) = fmap . fmap . fmap . fmap
infixr 8 <$$$$>
(<$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
(a -> b)
-> f4 (f3 (f2 (f1 (f0 a))))
-> f4 (f3 (f2 (f1 (f0 b))))
(<$$$$$>) = fmap . fmap . fmap . fmap . fmap
infixr 8 <$$$$$>
(<~$>) :: Functor f0 =>
f0 (a -> b)
-> a -> f0 b
(<~$>) f x = fmap ($ x) f
infixl 8 <~$>
(<~~$>) :: Functor f0 =>
f0 (a -> b -> c)
-> b -> f0 (a -> c)
(<~~$>) f x = fmap (-$ x) f
infixl 8 <~~$>
(<~~~$>) :: Functor f0 =>
f0 (a -> b -> c -> d)
-> c -> f0 (a -> b -> d)
(<~~~$>) f x = fmap (--$ x) f
infixl 8 <~~~$>
(<~$$>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b))
-> a -> f1 (f0 b)
(<~$$>) f x = fmap (<~$> x) f
infixl 8 <~$$>
(<~~$$>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c))
-> b -> f1 (f0 (a -> c))
(<~~$$>) f x = fmap (<~~$> x) f
infixl 8 <~~$$>
(<~~~$$>) :: (Functor f0, Functor f1) =>
f1 (f0 (a -> b -> c -> d))
-> c -> f1 (f0 (a -> b -> d))
(<~~~$$>) f x = fmap (<~~~$> x) f
infixl 8 <~~~$$>
(<~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b)))
-> a -> f2 (f1 (f0 b))
(<~$$$>) f x = fmap (<~$$> x) f
infixl 8 <~$$$>
(<~~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c)))
-> b -> f2 (f1 (f0 (a -> c)))
(<~~$$$>) f x = fmap (<~~$$> x) f
infixl 8 <~~$$$>
(<~~~$$$>) :: (Functor f0, Functor f1, Functor f2) =>
f2 (f1 (f0 (a -> b -> c -> d)))
-> c -> f2 (f1 (f0 (a -> b -> d)))
(<~~~$$$>) f x = fmap (<~~~$$> x) f
infixl 8 <~~~$$$>
(<~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b))))
-> a -> f3 (f2 (f1 (f0 b)))
(<~$$$$>) f x = fmap (<~$$$> x) f
infixl 8 <~$$$$>
(<~~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c))))
-> b -> f3 (f2 (f1 (f0 (a -> c))))
(<~~$$$$>) f x = fmap (<~~$$$> x) f
infixl 8 <~~$$$$>
(<~~~$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> c -> f3 (f2 (f1 (f0 (a -> b -> d))))
(<~~~$$$$>) f x = fmap (<~~~$$$> x) f
infixl 8 <~~~$$$$>
(<~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b)))))
-> a -> f4 (f3 (f2 (f1 (f0 b))))
(<~$$$$$>) f x = fmap (<~$$$$> x) f
infixl 8 <~$$$$$>
(<~~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c)))))
-> b -> f4 (f3 (f2 (f1 (f0 (a -> c)))))
(<~~$$$$$>) f x = fmap (<~~$$$$> x) f
infixl 8 <~~$$$$$>
(<~~~$$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3, Functor f4) =>
f4 (f3 (f2 (f1 (f0 (a -> b -> c -> d)))))
-> c -> f4 (f3 (f2 (f1 (f0 (a -> b -> d)))))
(<~~~$$$$$>) f x = fmap (<~~~$$$$> x) f
infixl 8 <~~~$$$$$>
(<.$>) :: Functor f0 =>
(b -> c)
-> f0 (a -> b)
-> f0 (a -> c)
f <.$> g = fmap (f .) g
infixr 8 <.$>
(<.*$>) :: Functor f0 =>
(c -> d)
-> f0 (a -> b -> c)
-> f0 (a -> b -> d)
f <.*$> g = fmap (f .*) g
infixr 8 <.*$>
(<.**$>) :: Functor f0 =>
(d -> e)
-> f0 (a -> b -> c -> d)
-> f0 (a -> b -> c -> e)
f <.**$> g = fmap (f .**) g
infixr 8 <.**$>
(<.$$>) :: (Functor f0, Functor f1) =>
(b -> c)
-> f1 (f0 (a -> b))
-> f1 (f0 (a -> c))
f <.$$> g = (f .) <$$> g
infixr 8 <.$$>
(<.*$$>) :: (Functor f0, Functor f1) =>
(c -> d)
-> f1 (f0 (a -> b -> c))
-> f1 (f0 (a -> b -> d))
f <.*$$> g = (f .*) <$$> g
infixr 8 <.*$$>
(<.**$$>) :: (Functor f0, Functor f1) =>
(d -> e)
-> f1 (f0 (a -> b -> c -> d))
-> f1 (f0 (a -> b -> c -> e))
f <.**$$> g = (f .**) <$$> g
infixr 8 <.**$$>
(<.$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(b -> c)
-> f2 (f1 (f0 (a -> b)))
-> f2 (f1 (f0 (a -> c)))
f <.$$$> g = (f .) <$$$> g
infixr 8 <.$$$>
(<.*$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(c -> d)
-> f2 (f1 (f0 (a -> b -> c)))
-> f2 (f1 (f0 (a -> b -> d)))
f <.*$$$> g = (f .*) <$$$> g
infixr 8 <.*$$$>
(<.**$$$>) :: (Functor f0, Functor f1, Functor f2) =>
(d -> e)
-> f2 (f1 (f0 (a -> b -> c -> d)))
-> f2 (f1 (f0 (a -> b -> c -> e)))
f <.**$$$> g = (f .**) <$$$> g
infixr 8 <.**$$$>
(<.$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(b -> c)
-> f3 (f2 (f1 (f0 (a -> b))))
-> f3 (f2 (f1 (f0 (a -> c))))
f <.$$$$> g = (f .) <$$$$> g
infixr 8 <.$$$$>
(<.*$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(c -> d)
-> f3 (f2 (f1 (f0 (a -> b -> c))))
-> f3 (f2 (f1 (f0 (a -> b -> d))))
f <.*$$$$> g = (f .*) <$$$$> g
infixr 8 <.*$$$$>
(<.**$$$$>) :: (Functor f0, Functor f1, Functor f2, Functor f3) =>
(d -> e)
-> f3 (f2 (f1 (f0 (a -> b -> c -> d))))
-> f3 (f2 (f1 (f0 (a -> b -> c -> e))))
f <.**$$$$> g = (f .**) <$$$$> g
infixr 8 <.**$$$$>