Invoking a subclass method's constructor using a generic parameter

The code below is not passing the type-checking:

type MyFunctionConstructor<T, F extends MyFunction<T>> = new (
  f: (n: number) => T
) => F;

class MyFunction<T> {
  constructor(f: (n: number) => T) {
    this.f = f;
  }

  f: (n: number) => T;

  composeT(g: (t: T) => T) {
    return new (this.constructor as MyFunctionConstructor<T, this>)(n =>
      g(this.f(n))
    );
  }

  composeU<U>(g: (t: T) => U) {
    return new (this.constructor as MyFunctionConstructor<U, this>)(n =>
      g(this.f(n)) // tsc error here, see below
    );
  }
}

class MyFancyFunction<T> extends MyFunction<T> {}

The error message states:

Type 'this' does not satisfy the constraint 'MyFunction<U>'.
Type 'MyFunction<T>' is not assignable to type 'MyFunction<U>'.
Type 'T' is not assignable to type 'U'.

The approach of calling the constructor by name (new MyFunction(...)) is not desired, as it should allow instances of subclass of MyFunction (for example, FancyFunction) to work with f.composeT(g) and f.composeU(g). The as casting utilized for the constructor call in composeT is not working for the more general composeU method that involves a generic parameter. How can the additional generic, U, be managed?

The solution for making composeT type-check can be found in this answer. This question serves as a follow-up that couldn't be accommodated in a comment.

Answer №1

As discussed previously, expressing this concept within TypeScript's type system proves to be a challenge (especially in TS3.1). TypeScript's current limitations hinder its ability to adequately represent higher-kinded types.

Essentially, the desire is for all subclasses of MyFunction<T> to be generic in T. In other words, the goal is not to extend the type MyFunction<T>, but rather the type constructor

T ⇒ MyFunction<T></code, which transforms a type <code>T
into a MyFunction<T>. However, this proves to be unattainable due to the absence of a general approach to refer to type constructors in TypeScript.

Even if extending

T ⇒ MyFunction<T></code was possible instead of <code>MyFunction<T></code, TypeScript's polymorphic <code>this
would need to be adjusted to respect that change, allowing this to function as a type constructor and this<X> to represent a concrete type. Unfortunately, this adjustment is not feasible with the current state of TypeScript.

While there is a glimmer of hope with the ongoing Microsoft/TypeScript#1213 issue labeled as "help wanted," achieving this functionality remains uncertain. Workarounds exist, as indicated in the issue thread, but they are often deemed cumbersome and not recommended.

One potential workaround involves utilizing the following code snippet:

  composeU<U>(g: (t: T) => U): MyFunction<U> {
    return new (this.constructor as any)((n: number) =>
      g(this.f(n)); 
    );
  }

However, to truly embody polymorphic this, defining explicit narrower scopes for each subclass becomes necessary, as exemplified by:

class MyFancyFunction<T> extends MyFunction<T> { }
interface MyFancyFunction<T> {
  composeU<U>(g: (t: T) => U): MyFancyFunction<U>;
}

Here, declaration merging is employed to refine the composeU method of MyFancyFunction.

While these insights may offer some assistance, implementing the desired functionality may prove to be quite challenging. Best of luck!

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