[Haskell-cafe] Promoting associated data types
Kosyrev Serge
_deepfire at feelingofgreen.ru
Sun Jun 28 23:11:36 UTC 2015
Kosyrev Serge <_deepfire at feelingofgreen.ru> writes:
> So, two type classes for Categories and Layouts -- this gives rise to two indices,
> a total of four types.
>
> For indexing the Category type class I can use a regular promoted ADT:
>
>> data CatName
>> = Graph
>> | Dag
>> | Set
>> deriving (Eq)
>>
>> class Category (a ∷ CatName) where
>> data CatX a ∷ *
>
> ..which suddenly allows to do something I couldn't figure out how to do
> without XDataKinds -- a simple decision procedure over a list of existentials:
>
>> data CatEntry where
>> CatEntry ∷ Category a ⇒ (a, (CatX a)) → CatEntry
>>
>> data CatAssoc where
>> CatAssoc ∷ [CatEntry] → CatAssoc
>>
>> prefer ∷ Category c ⇒ c → CatEntry → CatX c → CatX c
>> prefer cat (CatAssoc xs) defx =
>> case find (\(CatEntry (icat, _)) → cat == icat) xs of
>> Just (CatEntry (icat, x)) → x
>> Nothing → defx
>
> Basically, DataKinds allows constraining the type class index, so that its
> members become directly comparable.
Sadly, even this doesn't fly, because:
> The first argument of a tuple should have kind '*', but 'a' has kind 'CatName'.
..which doesn't really change even if I replace the tuple with a product type
within the CatEntry itself.
Basically GHC refuses to constrain the kind of constructor argument types
beyond the granularity provided by '*'.
And so I wonder if this is one restriction among those that you aim to remove.. : -)
--
respectfully,
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