[racket-dev] A proposal for parametric opaque types in Typed Racket

From: Alexis King (lexi.lambda at gmail.com)
Date: Fri Jan 30 00:03:36 EST 2015

It isn’t wrapped in an opaque structure. That wasn’t a part of my proposal, and while I didn’t think of it until you brought it up, I still think it’s unnecessary and doesn’t add any convenience.

Perhaps I’m not understanding you properly, but your “one-length string” idea sounds like it has little to do with this opaque type problem and more to do with the fact that you want refinement types in Typed Racket. I do, too! But I don’t think hacking the opaque type system is going to help you with that.

(Also, as for the box example, I’m actually a little surprised that doesn’t contract error. Seems like a bug to me, but perhaps I’m missing some idiosyncrasies of the type system. Either way, it’s precisely that kind of craziness I was referring to when I compared casting parametric opaque types to casting mutable types.)

> On Jan 29, 2015, at 20:50, Alexander D. Knauth <alexander at knauth.org> wrote:
> 
> 
> On Jan 29, 2015, at 11:34 PM, Alexis King <lexi.lambda at gmail.com <mailto:lexi.lambda at gmail.com>> wrote:
> 
>>> But the problem is that if it’s an opaque type then it can’t unwrap it once the value is returned from make-posn.
>> 
>> Yes, that’s precisely the problem. Your point about implementing everything as single-valued structs on the typed side is an interesting one, though I don’t think it ultimately solves any problems. The fact that the typed side knows nothing about the contents of the value is what makes this such a tricky problem.
>> 
>> As for this:
>> 
>>> But then you couldn’t do any operations on it except those that you use import with require/typed, right?
>> 
>> That’s completely correct. That’s why it’s “opaque.”
>> 
>>> And what happens if you use cast on one of these things?
>> 
>> That’s a little more interesting. Using cast on an object of this type would never fail (unless, of course, it didn’t actually satisfy the basic posn? predicate), but it would possibly introduce failures in the future since it would affect the contracts generated for posn-x and posn-y, for example.
>> 
>> To make that more clear, casting a (Posn Real) to a (Posn String) would work fine until you tried to call posn-x on the instance, in which case it would raise a contract error. Note that this isn’t really any different from casting mutable data types.
> 
> But if it were wrapped in an opaque structure, then that structure wouldn’t satisfy the posn? predicate, unless of course the posn? predicate has a contract that unwraps it.  So all of the operations on it would have to have contracts that would unwrap it.  This might actually make sense if the type is meant to be actually opaque, but if it’s an opaque type that represents a normal non-opaque value, then it will still work as an opaque type, but it won’t be a normal non-opaque value anymore on the typed side.  
> 
> But the reason I asked about cast was because normally I can use cast with a value that has an opaque type, but it’s wrapped on the typed side in this opaque structure, then the contracts on the cast would see this opaque structure instead of the actual value.  
> 
> I’m thinking of an opaque typed representing a string with length 1, which I can use as long as I use either (cast x String) or (assert x string?) whenever I pass it to a string operation.  But if it were an opaque type, I don’t think I could do that.  There could be a 1string->string function that could take one of these 1strings and convert it to a string, but that seems like it should be unnecessary, but made necessary by this opaque structure thing.  
> 
> And for “this isn’t really any different from casting mutable data types,” look at this:
> #lang typed/racket
> (: b : (Boxof Number))
> (define b (box 1))
> (set-box! (cast b (Boxof (U Number String))) "I am a string")
> (ann (unbox b) Number) ;"I am a string” ; not a contract error
> 
> 
>> 
>>> On Jan 29, 2015, at 20:20, Alexander D. Knauth <alexander at knauth.org <mailto:alexander at knauth.org>> wrote:
>>> 
>>> Furthermore, even if the wrappers were shared between functions, untyped code would recieved wrapped values, which would render them quite useless.
>>> 
>>> If it’s not an opaque type, but something like a list, then this works, and the untyped code receiving wrapped values isn’t a problem here:
>>> #lang typed/racket
>>> ; make Posn parametric
>>> (define-type (Posn A) (List A A))
>>> (provide Posn)
>>> (require/typed/provide
>>>  "untyped.rkt"
>>>  [make-posn (All (A) A A -> (Posn A))]
>>>  [posn-x (All (A) (Posn A) -> A)]
>>>  [posn-y (All (A) (Posn A) -> A)]
>>>  [real-posn? [(Posn Any) -> Boolean]])
>>> > (define p (make-posn 1 2))
>>> (make-posn #<A6> #<A6>) ; a printf that I put in make-posn from “untyped.rkt"
>>> > p
>>> - : (Listof Positive-Byte) [more precisely: (List Positive-Byte Positive-Byte)]
>>> '(1 2) ; unwrapped
>>> > (posn-x p)
>>> - : Integer [more precisely: Positive-Byte]
>>> 1
>>> > (posn-y p)
>>> - : Integer [more precisely: Positive-Byte]
>>> 2
>>> > (real-posn? p)
>>> - : Boolean
>>> #t
>>> 
>>> Even though for a short time it's wrapped, it’s unwrapped as soon as make-posn returns, and then after that if it flows into untyped code again it’s not wrapped and functions like real-posn? work fine.  
>>> 
>>> But the problem is that if it’s an opaque type then it can’t unwrap it once the value is returned from make-posn.
>>> 
>>> And I don’t think parametric opaque types could solve this unless all posns themselves were wrapped with an opaque struct on the typed side, which I guess does make sense now that I think about it.  But then you couldn’t do any operations on it except those that you use import with require/typed, right?  Or not?  And what happens if you use cast on one of these things?
>>> 
>>> 
>>> On Jan 29, 2015, at 9:25 PM, Alexis King <lexi.lambda at gmail.com <mailto:lexi.lambda at gmail.com>> wrote:
>>> 
>>>> I recently ran into a problem in which opaque types (types imported from untyped code) cannot by parameterized by Typed Racket. I initially encountered this problem in my attempt to port 2htdp/image to TR <https://github.com/lexi-lambda/racket-2htdp-typed/issues/1>.
>>>> 
>>>> After some further consideration, I’m interested in adding support to make something like this possible, which would certainly have additional benefits beyond this specific use-case. I’ve outlined my proposal here:
>>>> http://lexi-lambda.github.io/racket-parametric-opaque-types/ <http://lexi-lambda.github.io/racket-parametric-opaque-types/>
>>>> 
>>>> Any feedback, suggestions, or advice would be appreciated, especially from those who are familiar with Typed Racket’s internals.
>>>> 
>>>> Thank you,
>>>> Alexis
>>>> _________________________
>>>>  Racket Developers list:
>>>>  http://lists.racket-lang.org/dev <http://lists.racket-lang.org/dev>
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