(TL;DR: `newMetaTyVarX` gives me type metavars that behave weirdly and I don't understand why. What shoudl I use instead?)

OK so I have two half-done implementations now:

  * Doing `HsType`-level substitution in the middle of `tc_infer_hs_type`
    (see my exchange with Richard on why this needs to happen in
    `tc_infer_hs_type` instead of `rnHsTyKi`)

  * Doing Core `Type`-level substitution in the middle of `tc_infer_hs_type`

The advantage of the first one is that it works :) The disadvantage is that it involves storing a `HsType` in a `TyCon`, which in turn means making it work inter-module will require an `Iface` representation for `HsType`s.

Hence the second attempt. I think that would be a more principled solution anyway. This approach is based on typechecking the macro's right-hand side into a core `Type`, and storing that, and the list of wildcard-originating `TyVar`s, in the `TyCon`. At every occurrence site, I take this core `Type` and apply a substitution on it that is the composition of the following two:

* A substitution from macro type synonym type parameters to the type arguments
  * An instantiation of each wildcard variable into a fresh metavariable

Unfortunately, it is this second step that is tripping me up. If I use `newMetaTyVarX` to make these "refreshing" metavars, then while the substitution looks OK when eyeballing it, the resulting *type* metavariables seem to be handled by GHC as if they were *kind* metavariables?!

Here's an example. The source input is:

```
{-# LANGUAGE NoPolyKinds, NoStarIsType #-} -- Makes it easier to see how it 
goes wrong

data MyData a b c = MkMyData a b c
type MySyn a = MyData a _ Int

f1 :: MyData a b c -> b
f1 (MkMyData _ x _) = x

f2 :: MySyn a -> Double
f2 = f1
```

I start with the following "macro type template" (using `-dppr-debug` format):

```
  TySynWildcard.MyData{tc r3}
    (a{tv auq} Nothing [sk:1] :: GHC.Types.Type{(w) tc 32Q})
    ((w_awX{tv} Nothing [tau:0] :: (k_awW{tv} Nothing [tau:0] :: 
GHC.Types.Type{(w) tc 32Q}))
       |> {(co_awY{v} Just 'GHC.Types.Many{(w) d 65I} [lid[CoVarId]] :: 
GHC.Prim.~#{(w) tc 31I}
                                                                          
GHC.Types.Type{(w) tc 32Q}
                                                                          
GHC.Types.Type{(w) tc 32Q}
                                                                          
(k_awW{tv} Nothing [tau:0] :: GHC.Types.Type{(w) tc 32Q})
                                                                          
GHC.Types.Type{(w) tc 32Q})})
    GHC.Types.Int{(w) tc 3u}
```

The substitution applied:

```
  [TCvSubst
     In scope: InScope {a{tv auu} k_awW{tv} w_axc{tv}}
     Type env: [auq :-> (a{tv auu} Nothing [sk:2] :: (k_ax9{tv} Nothing [tau:2] 
:: GHC.Types.Type{(w) tc 32Q})),
                awX :-> (w_axc{tv} Nothing [tau:2] :: (k_awW{tv} Nothing 
[tau:0] :: GHC.Types.Type{(w) tc 32Q}))]
     Co env: []]
```

Note that the second type substitution, (w_awX :: k_awW) :-> (w_axc :: k_awW) is the one that should take care of instantiating the wildcard metavariable. And the result of applying this substitution still looks OK:

```
  TySynWildcard.MyData{tc r3}
    (a{tv auu} Nothing [sk:2] :: (k_ax9{tv} Nothing [tau:2] :: 
GHC.Types.Type{(w) tc 32Q}))
    ((w_axc{tv} Nothing [tau:2] :: (k_awW{tv} Nothing [tau:0] :: 
GHC.Types.Type{(w) tc 32Q}))
       |> {(co_awY{v} Just 'GHC.Types.Many{(w) d 65I} [lid[CoVarId]] :: 
GHC.Prim.~#{(w) tc 31I}
                                                                          
GHC.Types.Type{(w) tc 32Q}
                                                                          
GHC.Types.Type{(w) tc 32Q}
                                                                          
(k_awW{tv} Nothing [tau:0] :: GHC.Types.Type{(w) tc 32Q})
                                                                          
GHC.Types.Type{(w) tc 32Q})})
    GHC.Types.Int{(w) tc 3u}
```

But soon after, typechecking fails:

```
    • Couldn't match type ‘Type’ with ‘Double’
      Expected: MyData a Type Int -> Double
        Actual: MyData a Type Int -> Type
    • In the expression: f1
      In an equation for ‘f2’: f2 = f1
```

So this is weird. Instead of unification solving `w_axc ~ Double`, it seems `w_axc` is left unrestricted, and then `NoPolyKinds` picks it up as a kind variable (why?) and defaults it to `Type`.

As an experiment, I have also tried *not* refreshing `w_awX`, only substituting in the type arguments. Now, of course, this can't possibly work as soon as I have more than one occurrence of `MySyn` due to the
interference between the wildcard metavars, but if I only have one, then
the program typechecks. So to me this suggests I'm doing things mostly right, except that the metavar returned by `newMetaTyVarX` is not fit for my use case.

What should I use instead of `newMetaTyVarX` to instantiate / "refresh" the (wildcard-originating) type metavariables in my "macro type template"?

Thanks,
        Gergo


On Mon, 25 Jul 2022, Simon Peyton Jones wrote:

I'm afraid I don't understand, but it sounds delicate.  By all means try!

Simon

On Mon, 25 Jul 2022 at 11:04, ÉRDI Gergő <ge...@erdi.hu> wrote:
      On Mon, 25 Jul 2022, Simon Peyton Jones wrote:

      >       Do we have an existing way of substituting types over type
      variables, *in
      >       HsType instead of Core Type*?
      >
      >
      > I'm afraid not. Currently HsType is not processed much -- just renamed
      and typechecked
      > into a Type.

      I wonder if, instead, I could expand the rhs, typecheck it "abstractly"
      (i.e. in the context of the synonym's binders), and THEN do the
      substitution. If I typecheck the rhs for every occurrence, I should get
      fresh metavars for each wildcard, which is pretty much what I want. I just
      have to make sure I don't zonk before the substitution.

      Does this make sense?


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