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fleshing out type operators (discussion) #16392

Description

@KiaraGrouwstra

This is a discussion thread where I'd like to give a high-level overview of the type-level operations (as opposed to expression-level) that we can and can not yet do today.

This differs from the TS roadmap by identifying holes, while complementing the issues list by trying to show some of the bigger picture, the goal being to see what issues tie into which points, and how we could address them.

I'd like stimulate discussion on how we could fill the holes here; for all I know there are holes we can find solutions to with no changes to TS!

Below is my list of imaginable basic type operations. The reason I focus on these is that, with basic operators down, most more complicated use-cases could be addressed simply by combining these. Names are based on my implementations here.

Additions / corrections / related issues / comments welcome!

Operations:

Built-in operators:

  • union |: allow either of two types. also helps get the more lenient of two types, i.e. T | never -> T. you'll encounter this in type inference since optional params yield | undefined types. no known warts.
  • intersection &: get the stricter of two types, i.e. T & never -> never. shouldn't need this very often. also helps combine two objects. warts:
    • overlapping keys when combining objects will & their contents too (alt: Overwrite / MergeAll)
  • keyof: create a union of string literals from a type's keys. warts:
    • returning a string union means number literal keys get converted to string literals
    • returning a string union means symbol keys get ignored
    • when a string index is present, there is no known way to get the individual string keys
    • somehow also gives prototype keys for array types, yet not for object types
  • in: construct an object type based on a union of strings (keys) and corresponding calculated values based on these. warts:
    • since this is based on strings, anything else, such as numbers, symbols, or indices, needs to be specified separately (-> &).
  • member access: get the type at a certain index of an object/tuple type (considering intersections as a single object, getting multiple result for union'd objects). warts:
    • there is ambiguity w.r.t. whether the prototype or the index should trump. it currently lets the prototype trump, even if you wanted it not to, meaning you're likely to get unexpected behavior for member access operations for e.g. toString.
    • does implicit conversion between numeric literals and string literals, not unlike JS. not a problem though. :)

& is a bit less straight-forward from the rest in its use-cases:

  • a way to make impossible types like string & number (uses?)
  • a redundant way to write never (T & never), which gets more useful given conditionals, but then you could just use those to conditionally produce never right away
  • a poor man's Overwrite / MergeAll (inferior in its behavior intersecting types in overlapping keys, which poorly reflects actual JS). if you know keys won't overlap though, it's great since it's short, built-in and performant.
  • 'get the most specific type of these two': haven't found use-cases for this, but could also be done given Matches
  • add a symbol to an existing object
  • have an index type with keys not bound to sub-classing it

Boolean operations:

  • Not, And, Or, Eq, Neq

Note: these can currently be implemented through string literal representations. It would be possible to convert these to boolean literals (StringToBool), but cannot yet map boolean literals to these (BoolToString) or other values for that matter.

Array (tuple) operations

Unary:

  • TupleLength: check the length of a given tuple type.
  • ArrayProp: get the element type for a homogeneous array type (similar for extracting generics from other parameterized types)

Binary:

  • [x] TupleProp: get the type at a certain index for a tuple/array type. just T[I].
  • TupleHasIndex: check whether a tuple type contains a given index.
  • TupleHasElem: check whether a tuple type contains a given type among its elements. This could be done given TypesEq.
  • concatenate / append / prepend. possible today using numeric objects (compatible with ArrayLike), but could become possible for tuple types natively with the variadic kinds proposal at Proposal: Variadic Kinds -- Give specific types to variadic functions #5453. There has been talk there this would also depend on Proposal: strict and open-length tuple types #6229.
  • destructuring tuples: see above
  • difference: remove indices in one tuple type from another tuple type. see above.
  • Vector: create a tuple type for a given element type plus size.

Advanced:

  • array iteration, used for e.g. TupleLength
  • reduce: the function needs ReturnType for its dynamic reducer functions; otherwise doable using iteration. see Proposal: add a built-in reduce function on the type level #12512.
  • map over tuples: doable now through numerical objects for fixed conditions; also needs ReturnType in case the mapping function is given as a function (e.g. map itself).

object operations

Unary:

  • ObjectLength: check the length (number of keys) of a given heterogeneous object type. doable given UnionLength or (object iteration + Inc).

Binary:

  • ObjectProp (need to test): get the type at a certain index for an object type. Normally one would just use T[K], which offers the desired behavior if one expects prototype methods like toString to prioritize the prototype over the string index. If one instead expects these to trigger the string index, you'd want this instead.
  • ObjectHasStringIndex: check whether an object has a general string key, e.g. [k: string]: any.
  • ObjectHasNumberIndex: accessing it works or throws, not sure how to check presence though.
  • ObjectNumberKeys: a number variant of keyof. could be pulled off given union iteration (Partial -> iterate to filter / cast back to number literals)... but still hard to scale past natural numbers.
  • ObjectSymbolKeys: a Symbol variant of keyof. no clue how to go about this unless by checking a whitelisted set such as those found in standard library prototype. this feels sorta useless though.
  • ObjectHasKey: check whether a heterogeneous object type (-> like { a: any } as opposed to { [k: string]: any }) contains a given key.
  • ObjectHasElem: check whether a heterogeneous object type contains a given type among its elements. This could be done given TypesEq.
  • Overwrite: merge objects, overwriting elements of the former by that of the latter. see #12215.
  • Omit (#12215): remove certain keys from a given object type.
  • ObjectDifference: remove all keys from an object that are part of a second object.
  • IntersectionObjects: filter an object to the keys also present in another object.
  • FilterObject: can be done already for fixed conditions; using a predicate function needs ReturnType

Advanced:

  • map over heterogeneous objects: probably just needs ReturnType.
  • object iteration: useful for e.g. ObjectToArray. This could enable union iteration, or the other way around.
    • One strategy that comes to mind relies on converting keys to tuple (given UnionToArray) then using array iteration.
    • Alternatively, break string literals into characters, convert to numbers, convert objects to a nested version with one key at each stage using key sort, which could then be traversed in order... Nope, no member access on string literals.

Type operations

Type checks (binary):

  • Matches: check whether a given type matches another type (inclusive, e.g. true for string and string). This could be done given ReturnType.
  • TypesEq: check whether two types are 'equal', that is, A satisfies B and vice versa. This could be done given Matches.
  • InstanceOf: check whether a given type represents a subset of another type (-> exclusive match). This could be done given Matches.
  • PrototypeOf: get the prototype (-> methods) of a type. Partial helps, though Symbol-based keys get killed.

Type casts (unary):

  • StringToBool: can be implemented manually given the limited options, mapping desired keys to true / false, potentially having anything else fall back to undefined / boolean. string literals are used in the boolean operators above, while boolean literals are useful in e.g. type guards (expression-level if/else).
  • BoolToString -- mapping from non-strings could be done given ReturnType.
  • StringToNumber -- convert a numerical string literal to an actual number literal, doable using a whitelist (doesn't scale well to higher numbers).
  • NumberToString -- convert a number literal to a numerical string literal, doable using a whitelist (doesn't scale well to higher numbers).
  • UnionToObject -- use a union of string literals as object keys, possible with e.g. { [P in Union]: P }.
  • UnionToArray: could be done given e.g. union iteration.
  • ObjectToArray: could be useful if converting tuples types to number-indexed object types, do further operations, then convert back. likely needs object iteration.
  • ObjectKeysToUnion -- keyof does this.
  • ObjectValsToUnion: just plug the keys back into the object
  • TupleToObject: convert a tuple type to an object type (both number/string indices work), cleaning out prototype methods.
  • TupleToUnion: convert a tuple type to a union of types.
  • TupleIndicesToUnion: get the indices of a tuple type as a union of numerical strings.

Union operations

Unary:

  • a way to access union elements, e.g. going from "a" | "b" | "c" to "a". this could enable union iteration using Diff if they're all string literals, which in turn could enable object iteration. or the other way around.
  • IsUnionType -- solvable today only for unions consisting of known sets of keys, see my Indeterminate; a proper solution could be made using union iteration or a way to access arbitrary / random elements (e.g. with conversion to tuple type)
  • UnionLength: check the length of a union, i.e. how many options it is composed of.

Binary:

  • union: A | B
  • UnionHasKey: check whether a union of string literals contains a given key.
  • UnionHasType: general case, check whether a union of arbitrary types contains a given type.
    • could be achieved using TypesEq. plugging a union into it should return e.g. "0" | "1" in case it contains a match -- at that point UnionHasKey works.
  • IntersectionUnions: get the intersection of two union types, possible today given unions of string literals.
  • DifferenceUnions: subtract any keys from one union from those contained in another union.
  • UnionContained: verify whether one union is fully contained in another.

Advanced:

  • union iteration: helps implement UnionToArray, IsUnionType. could be achieved given UnionToArray or a way to access elements from a union. This could enable object iteration, or the other way around.

intersection operations

function/parameter operations

operations on primitives (string/number/boolean literals)

These are currently considered out of scope, see #15645.

That said we can do a bit with natural numbers:

  • Numbers: Inc, Dec, Add, Subtract, Mult, Pow, DivFloor, Modulo, comparators: Gt (>), Lt (<), Gte (>=), Lte (<=)

Strings:

  • member access on string literals
  • appending string literals

Progress:

Type Member Access Manipulation Iteration
Tuple ⭕ ⭕ (as numerical objects until #5453) ⭕
Object ⭕ ⭕ ❌
Union (of string literals*) ❌ ⭕ ❌
Function ❌ (#6606) ❌ (#5453) n/a
Bool n/a ⭕ (as strings) n/a
Number n/a ⭕ (low-ish natural numbers) n/a
String ❌ ❌ (#15645) n/a

*: union operators are pretty much limited to unions of string literals as it stands, as the only basic operators on unions (in + member access) both operate exclusively on these.

Not listed: type-level type checks (also need #6606)

Top features needed:

Activity

  1. ikatyang commented on Jun 9, 2017

    @ikatyang
    Contributor

    There are several dead links: #12215(x2), #13470, #16114, their /issues/ are missing.

  2. KiaraGrouwstra commented on Jun 9, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Ika (@ikatyang) fixed them, thanks!

  3. KiaraGrouwstra commented on Jun 30, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Update: I fleshed out operations on number literals (if restricted to whitelisted natural numbers), and realized that, although we can't really manipulate tuple types without ... operator, we can actually iterate over these to reconstruct them as numerical objects satisfying the ArrayLike interface (numbers + length), which could suffice as a workaround to operate on 'tuples' for now.

    The implication here is that the vast majority of the remaining unresolved challenges now suddenly hinge on a single outstanding feature request (#6606).

  4. KiaraGrouwstra commented on Aug 2, 2017

    @KiaraGrouwstra
    ContributorAuthor

    As Playground became less suitable as things grew, I now moved the types into a repo.

  5. SimonMeskens commented on Aug 3, 2017

    @SimonMeskens

    Stellar work. I'm going to pour over this when I get home tonight. Maybe we should turn this into a test suite too and get it accepted into Typescript, so there's no regressions?

  6. KiaraGrouwstra commented on Aug 3, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Simon Meskens (@SimonMeskens): I'd certainly love to improve lib.d.ts, though an official blessing might be more justifiable for types that could already be used to help type it than for the ones that have yet to be applied there. I investigated opportunities to improve it earlier, but haven't found many that'd work out today yet. Specifically:

    tl;dr: hopefully, but things might not be mature enough yet.

    That said I did see two types failing I'd sworn worked before, specifically Indeterminate and Ramda attempt PathOrFn. I might need to look into those again.

  7. SimonMeskens commented on Aug 4, 2017

    @SimonMeskens

    It feels like we should be able to do ReturnType right now. What's stopping us?

  8. KiaraGrouwstra commented on Aug 4, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Simon Meskens (@SimonMeskens): try it!

    interface MyFn {
      (s: string): string;
      (b: boolean): boolean;
    }
    // ^ example of a problematic function: overloads. similar for generics.
    type Ret<F extends (...args: any[]) => R, R> = R;
    type Bar = Ret<MyFn>;
    // ^ error: Generic type 'Ret' requires 2 type argument(s).
    declare function ret<R>(f: (...args: any[]) => R): R;
    let baz = ret(null! as MyFn);
    // ^ expression level, can't be composed into bigger types
    // -> boolean. other option got ignored?

    In function declarations, we can do an easy version naively extracting a return type, see the snippet below; a type-level-only version fails meaning we can't really put this to use in other types.
    It also fails if the function's return type depended on generics, overloads, or this binding types.
    There are a dozen use-cases that depend on the ability to calculate a return type appropriate for given inputs though, which is a topic that could be resolved with that 6606.

  9. SimonMeskens commented on Aug 4, 2017

    @SimonMeskens

    Ah yes, it's basically the issue I talked about on the dynamic function type issue. You can create such a function (well, once 2.5 lands to fix a few of the mapped type bugs), but I don't think TypeScript could ever support complex functions (generics, overloads, not sure about this bindings, you can probably support those eventually) dynamically. You could specifically write a return type construct as in 6606 of course, but the general case is probably not possible, due to the way generics are constructed.

  10. KiaraGrouwstra commented on Aug 4, 2017

    @KiaraGrouwstra
    ContributorAuthor

    You can create such a function (well, once 2.5 lands to fix a few of the mapped type bugs)

    Could you show a snippet of how you'd go about it with that?

    but I don't think TypeScript could ever support complex functions (generics, overloads, not sure about this bindings, you can probably support those eventually) dynamically.
    You could specifically write a return type construct as in 6606 of course, but the general case is probably not possible, due to the way generics are constructed.

    If you mean the awkward Ret attempt in that snippet, yeah.
    If you mean 6606, it already calculates types of return values based on all of that for function calls made on the expression level. It's just about getting that existing operator (() / <>()) exposed in type land.

  11. SimonMeskens commented on Aug 4, 2017

    @SimonMeskens

    Could you show a snippet of how you'd go about it with that?

    Not really, because I ran into several bugs trying to make it. The basic idea is that you specify arity by hand and the compiler will complain if the arity is incorrect. Unless we get some way to pattern match types, we can't make the compiler infer arity unfortunately. The arity can be somewhat inferred through a number of overloads at call-site.

    Once 2.5 lands, I'll try to produce this type.

    I'm somewhat skeptical of 6606, because if it would actually provide a fully working return type, it would be more powerful than Haskell's compiler, if I understand correctly, and I simply don't see how Typescript's generic system would give rise to such a construct. I just returned from a vacation, so my brain is currently too fried to provide an example, I'll try to do so later.

  12. KiaraGrouwstra commented on Aug 5, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Simon Meskens (@SimonMeskens):

    If you want you can try 2.5 nightly outside of playground. Heck, even if the code doesn't work yet, the concepts would still be interesting anyway. We'd have progress even if just for arity 0 it works purely on the type level.
    On another note, alternatives would be reminiscent of #14400.
    Arity I guess could be addressed by either 5453 (capturing variadics) or 6606 (overloads) itself.

    I'm somewhat skeptical of 6606, because if it would actually provide a fully working return type, it would be more powerful than Haskell's compiler, if I understand correctly, and I simply don't see how Typescript's generic system would give rise to such a construct.

    TypeScript has been doing type literal computations that Haskell never bothered with, e.g. property access on tuples / heterogeneous objects using number / string literals. Ditto for boolean literals, see the type guards in the tutorial.
    Note that none of that required generics in the first place.

    I'd asked a few Haskell friends this same question before, and their response was just kinda that it wouldn't have as much use for it, in the sense its tuples lacked number-based access, and that heterogeneous objects with string index access basically also lacked a Haskell equivalent.

  13. SimonMeskens commented on Aug 5, 2017

    @SimonMeskens

    I see your point now, you want to be able to infer the return type, not just typecheck it. I don't think that's possible without something like #14400.

    Honestly, I feel like not having #14400 is holding the language back. That's probably my number one feature request, more inference on generic arguments.

  14. KiaraGrouwstra commented on Aug 5, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Well, #14400 itself wouldn't address overloads/generics or the like, while we can already get the return type like that in function definitions already (ret example above). In that sense it'd be a relatively smaller step. If we could get 6606 then from what I can see that'd cover it.
    Then again I also just don't know how implementing 14400 would actually work.

  15. 27 remaining items

  16. SamPruden commented on Aug 7, 2017

    @SamPruden

    Giulio Canti (@gcanti) Oh wow, that looks fantastic, thanks for that link! Maybe not quite suited to the rapid iteration during prototyping, but great for marking things down once we've got them wrangled a bit. That was basically what I was going to try to make anyway, so that's saved me a lot of wasted time. 😅

  17. KiaraGrouwstra commented on Aug 7, 2017

    @KiaraGrouwstra
    ContributorAuthor

    @TheOtherSamP:

    I loved PlayGround as well, and regressions weren't much of an initial concern; I was just forced to convert it as eventually a few types snuck in that had terrible performance / did not terminate.
    I wanted to just comment half the types to find them binary search style, but the types depended on each other in many directions and finding the culprit was terrible.
    My current situation slightly improved over that by allowing an attempt to compile one file (+ all deps) at a time.

    Giulio Canti (@gcanti):

    Fair enough, that does look like a potential improvement in the face of expected errors. On actual failed expectations, I recall I had a fork of it ditching line numbers from output so diff logs wouldn't get noise from line number changes, might have use for that here too. Guess I specialize in libraries that error.

    I hated having to give every test line a name btw 😅, fortunately that's separate.

    Seems unlike me you're also using value level expressions in your tests. That's interesting to me; I'd kept it type-level only. I don't even have any real considerations there, just sorta happened.

  18. jcalz commented on Oct 6, 2017

    @jcalz
    Contributor

    @tycho01 When you say

    • keyof: create a union of string literals from a type's keys. warts:
      • indices (whether number or string) get ignored

    What do you mean by "ignored"? Note that keyof { foo: number; [k: string]: any } returns string, not "foo". Is that what you mean (I would call this the opposite of being ignored, myself) or did this behavior change? I do wish there were a way to get just the non-index keys from a type... is that a type operator I missed from your list?

  19. KiaraGrouwstra commented on Oct 6, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Joe Calzaretta (@jcalz): sorry, lemme fix that, looks like I was mistaken there!
    That actually seems a bit unfortunate though, guess that means it's hard to operate on constructs like that in such a way as to retain the key-specific info...

    or did this behavior change?

    Could be, but for all I know I just messed up there somehow. :)

    I do wish there were a way to get just the non-index keys from a type... is that a type operator I missed from your list?

    Hm.... before I thought that e.g. Omit would lose the indices while retaining the keys. In that case that might have been a way. Otherwise, it's gonna be tough.

    This did just helped me think of an implementation for ObjectHasStringIndex though!

  20. KiaraGrouwstra commented on Oct 25, 2017

    @KiaraGrouwstra
    ContributorAuthor

    Marking as closed since a discussion doesn't require moderator attention.

  21. KiaraGrouwstra commented on Feb 15, 2018

    @KiaraGrouwstra
    ContributorAuthor

    Joe Calzaretta (@jcalz) Martin Johns (@MartinJohns) here is fine to me.
    I tried for a bit to see if I could strip the index off an object type, but haven't managed yet.
    on a related note, ObjectHasStringIndex works, but isn't helping here.

    I guess if we had a keyof equivalent not screwed up by the string index, that should get us there. It seems pretty tough though. So the real keyof would yield e.g. "a" | string, which just simplifies to string, removing all the info we were actually interested in.

    So the more realistic approach seems to be to use a filtered map instead. My attempt has been among the following lines:

    type T = { a: 1, [k: string]: number };
    type stripped = { [P in keyof T]: string extends P ? never : T[P] }; // want { a: 1 }, got { [x: string]: string }

    Not sure why it fails. :(

  22. jcalz commented on Feb 15, 2018

    @jcalz
    Contributor

    Yeah that's about as far as I got too.

  23. KiaraGrouwstra commented on Feb 17, 2018

    @KiaraGrouwstra
    ContributorAuthor

    Joe Calzaretta (@jcalz) Martin Johns (@MartinJohns) in retrospect, guess it fails because it still relies on keyof... which means back to square 1. :(

  24. jcalz commented on Apr 23, 2018

    @jcalz
    Contributor

    Looks like IsUnionType<T> can now be implemented using distributive conditional types, even for T that do not extend string:

    type IsUnionType<T, Y=true, N=false> =
      [T] extends [infer U] ? U extends any ? [T] extends [U] ? N : Y : never : never

    This exposes some fun details of what the compiler considers a union:

    const literalsGetAbsorbed : IsUnionType<string | 'a'> = false;
    const booleansGetDistributed: IsUnionType<boolean> = true;
    const intersectionsOfUnionsAreReduced: IsUnionType<{a: 0} & ({b: 1} | {c: 2})> = true;
  25. SimonMeskens commented on Apr 23, 2018

    @SimonMeskens

    @tycho01 Are you still looking for a way to strip indexes? I have a way to do it

  26. SimonMeskens commented on Apr 23, 2018

    @SimonMeskens

    Actually, my way of doing it corresponds to your last attempt up above, which now seems to work, so you should be golden.

  27. jcalz commented on Apr 24, 2018

    @jcalz
    Contributor

    Doesn't that still give you type stripped = { [x: string]: never; a: 1 } instead of the desired { a: 1 }? How do you use that to strip the index?

  28. SimonMeskens commented on Apr 24, 2018

    @SimonMeskens

    Yeah, totally my bad. I thought I had discovered some new trick, when I didn't. I figured out most of the issues people were having as I bashed my head against it for an hour yesterday.

  29. locked and limited conversation to collaborators on Jul 31, 2018
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