Context bounds shortcut with higher kinded-types

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梦毁少年i
梦毁少年i 2020-12-13 16:13

Is it possible to use the context bounds syntax shortcut with higher kinded-types?

trait One { def test[W   : ClassManifest]: Unit } // first-order ok
trait          


        
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  • 2020-12-13 16:47

    Note that implicitly[ClassManifest[List[_]]] is short for implicitly[ClassManifest[List[T] forSome {type T}]].

    That's why it works: ClassManifest expects a proper type argument, and List[T] forSome {type T} is a proper type, but List is a type constructor. (Please see What is a higher kinded type in Scala? for a definition of "proper" etc.)

    To make both ClassManifest[List[String]] and ClassManifest[List] work, we'd need to overload ClassManifest somehow with versions that take type parameters of varying kinds, something like:

    class ClassManifest[T] // proper type
    class ClassManifest[T[_]] // type constructor with one type parameter
    class ClassManifest[T[_, _]] // type constructor with two type parameters
    // ... ad nauseam
    

    (On an academic note, the "proper" way to do this, would be to allow abstracting over kinds:

        class ClassManifest[T : K][K]
    
        implicitly[ClassManifest[String]] // --> compiler infers ClassManifest[String][*]
        implicitly[ClassManifest[List]] // --> compiler infers ClassManifest[List][* -> *]
    

    )

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  • 2020-12-13 16:59

    Yes, it is, but your context bound type must have a higher kinded type parameter (which ClassManifest doesn't).

    scala> trait HKTypeClass[CC[_]]
    defined trait HKTypeClass
    
    scala> implicit def listHKTC = new HKTypeClass[List] {}
    listHKTC: java.lang.Object with HKTypeClass[List]
    
    scala> def frob[CC[_] : HKTypeClass] = implicitly[HKTypeClass[CC]]
    frob: [CC[_]](implicit evidence$1: HKTypeClass[CC])HKTypeClass[CC]
    
    scala> frob[List]
    res0: HKTypeClass[List] = $anon$1@13e02ed
    

    Update

    It's possible to use a type alias to allow a higher-kinded type parameter to be bounded by a first-order context bound type. We use the type alias as a type-level function to make a higher-kinded type out of the first-order type. For ClassManifest it could go like this,

    scala> type HKClassManifest[CC[_]] = ClassManifest[CC[_]]
    defined type alias HKClassManifest
    
    scala> def frob[CC[_] : HKClassManifest] = implicitly[HKClassManifest[CC]]         
    test: [CC[_]](implicit evidence$1: HKClassManifest[CC])HKClassManifest[CC]
    
    scala> frob[List]                                                       
    res1: HKClassManifest[List] = scala.collection.immutable.List[Any]
    

    Note that on the right hand side of the type alias CC[_] is a first-order type ... the underscore here is the wildcard. Consequently it can be used as the type argument for ClassManifest.

    Update

    For completeness I should note that the type alias can be inlined using a type lambda,

    scala> def frob[CC[_] : ({ type λ[X[_]] = ClassManifest[X[_]] })#λ] = implicitly[ClassManifest[CC[_]]]     
    frob: [CC[_]](implicit evidence$1: scala.reflect.ClassManifest[CC[_]])scala.reflect.ClassManifest[CC[_]]
    
    scala> frob[List]
    res0: scala.reflect.ClassManifest[List[_]] = scala.collection.immutable.List[Any]
    
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