Errors can occur when using TypeScript recursive types

Below is a simplified version of the code causing the problem:

type Head<T> = T extends [infer U,...unknown[]] ? U : never;
type Tail<T> = T extends [unknown,...infer U] ? U : [];


type Converter = null;
type Convert<T, U extends Converter> = T;


type ConvChain<BaseType, T extends Converter[]> = 
    T extends [Converter]
    ? Convert<BaseType, Head<T>>
    : Head<T> extends Converter 
        ? ConvChain<Convert<BaseType, Head<T>>, Tail<T>>
        : never;

type ThisWillBeError = ConvChain<unknown, Converter[]>;

The type ThisWillBeError is expected to throw this error message:

Type instantiation is excessively deep and possibly infinite.

The goal is to resolve this error.

Code Explanation

Head<T> ... Retrieves the first element of an array
Tail<T> ... Retrieves all elements of an array except the first one.

Convert<T, U extends Converter>
/ Converter ...
Applies a specific transformation indicated by type U to type T. The complex type structure used here was intentional in order to reproduce the issue where returning T regardless of directive type
U</code still triggers the error.<br />
The instruction-giving type <code>U
must also satisfy the Converter type.

ConvChain ...
Successively applies converters provided in type "T" to the BaseType.
Example: ConvChain<Test, [A, B, C]> =

Convert<Convert<Convert<Test, A>, B>, C>

Importance of Type ThisWillBeError

To achieve the same functionality as the type "Convert," it seems necessary to create a generic function like this:

function someFunc<Convs extends Converter[], Base>(x: Base, convs: Convs): ConvChain<Base, Convs>  {
    return /* result */ as ConvChain<Base, Convs>;
}

The usage of ConvChain<Base, Convs> leads to the same aforementioned error. It appears these issues stem from the same source.

Attempts Made

I hypothesized that there might be a limit on the number of array elements that can be passed to a ConvChain (a recursive type). Thus, I created the following set up restricting to five or fewer Converters:

type ThisWillBeError = ConvChain<unknown, [
    ...([Converter] | []),
    ...([Converter] | []),
    ...([Converter] | []),
    ...([Converter] | []),
    ...([Converter] | []),
]>;

Although this still resulted in an error, it strangely worked correctly when limited to accepting 1 to 5 parameters.

type ThisWorks = ConvChain<unknown, [
    Converter,
    ...([Converter] | []),
    ...([Converter] | []),
    ...([Converter] | []),
    ...([Converter] | []),
]>;

Ideally, I would prefer to allow for empty arrays with Converter and remove any preset maximum limit. (In other words, encountering an error should only happen if an array surpasses the TypeScript limit within the function's generics.)

Additional Details

I am using Typescript version 4.8.4.
This issue has been replicated across versions 4.2.3 to 4.9.4.

(I'm a Japanese student, please forgive any mistakes in my English!)

Answer №1

Recursive conditional types are incredibly powerful, but dealing with deeply nested type manipulation can sometimes trigger the compiler's circularity detection mechanisms. In my experience, fixing these issues often requires a combination of artistry and experimentation rather than following strict scientific rules.

One approach I usually take is to try eliminating any unnecessary conditional types. If you can replace a conditional type with mapped types, indexed access types, variadic tuple types, or similar alternatives, it may be possible to rectify the problem causing the error.

For example, in the code snippet provided, this type definition:

type Head<T> = T extends [infer U, ...unknown[]] ? U : never;

is considered unnecessarily conditional. Instead of relying on conditional type inference with variadic tuple types, directly accessing element 0 of T through indexed access might prove more effective, especially when T is constrained to an appropriate type like readonly any[]:

type Head<T extends readonly any[]> = T[0];

Most likely, this will yield identical results in the scenarios that matter to you:

type X = Head<["a", "b", "c"]> // "a" using either definition

With this revised definition, the initial error in your code example should be resolved without issue.

type ThisWillBeError = ConvChain<unknown, Converter[]>; // no longer an error 🎉

This solution addresses the specific challenge posed by the sample code. However, other readers facing similar problems may not find such a straightforward substitution, or the replacement may not entirely fix the error. Since resolving these challenges often involves a creative touch rather than a formulaic approach, providing abstract recommendations can be difficult.

Link to Playground for Code Execution

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