TypeScript automatically infers the return type of callbacks within type constructors

Developing a type constructor for a function is my goal, where it takes a parameter S and a function from S to a different type, then applies that function on the input S and produces the result:

// Previous approach which is limited to implementation details
function dig<S, R>(s: S, fn: (s: S) => R): R {
  return fn(s);
}

// Alternative type constructor option focusing on specifying `R`
type Dig<S, R> = (s: S, fn: (s: S) => R) => R;

// Issue encountered due to missing available arguments
const d: Dig<string> = (s, fn) => fn(s); 

Hence, I am exploring how to create a Dig<S> type constructor that automatically deduces the return type of the provided fn argument without the need for me to explicitly state the R.

Answer №1

Currently, in TS3.4 there is no provision for partial type argument inference. This means that you are unable to specify S and have the compiler deduce R. However, based on your example, it seems like you are not looking to explicitly infer

R</code as a specific type but rather keep it generic so that the return type of <code>fn
can vary when you call d().

It appears that the desired type is:

type Dig<S> = <R>(s: S, fn: (s: S) => R) => R;

This type can be seen as "doubly generic," where specifying

S</code still leaves a generic function dependent on <code>R</code. This type should suit the scenario you presented:</p>

<pre><code>const d: Dig<string> = (s, fn) => fn(s);

const num = d("hey", (x) => x.length); // The inferred type of num is number
const bool = d("you", (x) => x.indexOf("z") >= 0); // The inferred type of bool is boolean

I hope this explanation proves helpful. All the best!

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