In Scala, is there a shorthand for reducing a generic type's arity?

Question

I want to call Scalaz\'s pure method to put a value into the State monad. The following works:

type IntState[A] = State[Int, A]
val a = \"a\".pure[I         


        

Answer 1

For concise partial type application (arity-2) in Scala, you can infix type notation as followings.

type ![F[_, _], X] = TF { type ![Y] = F[X,  Y] }

"a".pure[(State!Int)# !]

Note that we can infix notation for two arity type constructor (or type alias).

Answer 2

Not sure if this qualifies as better, but here is one approach that @kmizu tweeted the other day:

scala> trait TF {
     |   type Apply[A]
     | }
defined trait TF

scala> type Curried2[F[_, _]] = TF {
     |   type Apply[X] = TF {
     |     type Apply[Y] = F[X, Y]
     |   }
     | }
defined type alias Curried2

scala> "a".pure[Curried2[State]#Apply[Int]#Apply]
res7: scalaz.State[Int,java.lang.String] = scalaz.States$$anon$1@1dc1d18

You can make it look a little nicer by using symbolic type aliases.

scala> type ![F[_, _]] = TF {
     |   type ![X] = TF {
     |     type ![Y] = F[X, Y]
     |   }
     | }
defined type alias $bang

scala> "a".pure[![State]# ![Int]# !]
res9: scalaz.State[Int,java.lang.String] = scalaz.States$$anon$1@1740235

Answer 3

the most popular way of reducing arity is kind-projector (https://github.com/non/kind-projector) plugin that is also used in cats library. By enabling this plugin your example can be transformed to:

val a = "a".pure[State[Int, ?]]

Note: this syntax will be enabled in Dotty by default.