[Haskell-cafe] Fwd: Re: 123

And even sent the answer not to the list.. Huh. -------- Forwarded Message -------- Oops, i forgot to change the subject. Sorry! On 08/16/2017 09:01 PM, Jack Henahan wrote:

Some mostly unrelated thoughts:

An instance head has the form `T a_1 ... a_n`, and the constraint can

only

apply to the `a_i`s. Consider the Show instance for pairs.

instance (Show a, Show b) => Show (a, b) -- Show ((,) a b)

The constraints only act on the parameters of the type.

It looks like you're taking the constraint to mean "whenever I have a Showable `f String`, this is how to define a Show instance", but a constraint actually means "use this rule to make a Show instance for any `A f`, and it is an error if a Show instance for `f String` is not in scope".

In the second error, you are making the strong claim that your Show instance for `A f` holds for any `f` and `a`. Even if you could trick the compiler into allowing that, I don't think it would actually express the constraint that you want it to.

Is there something a Show instance gets you that a pretty-print function wouldn't?

Well, the `Show` was just an example. And examples with `A` was just a simplified versions, but perhaps oversimplified and hiding original intention.

{-# LANGUAGE RankNTypes #-} {-# LANGUAGE GADTs #-} {-# LANGUAGE StandaloneDeriving #-}

import Control.Applicative import Data.Monoid import Data.Typeable

I want to have a type with many records:

data Volume t = Volume { _volName :: t String , _volSize :: t Int }

showVolume :: (Show (t String), Show (t Int)) => Volume t -> String showVolume x = "Volume " ++ show (_volName x) ++ ", " ++ show (_volSize x)

with instances parametrized by some other type. E.g. i want to define a `Monoid` based on that other type properties:

instance Alternative t => Monoid (Volume t) where mempty = Volume {_volName = empty, _volSize = empty} x `mappend` y = Volume { _volName = _volName x <|> _volName y , _volSize = _volSize x <|> _volSize y }

and i may use this like

v1 :: Alternative t => Volume t v1 = Volume {_volName = pure "vol1", _volSize = empty} v2 :: Alternative t => Volume t v2 = Volume {_volName = pure "vol2", _volSize = pure 200}

*Main> showVolume (v1 <> v2 :: Volume Maybe) "Volume Just \"vol1\", Just 200" *Main> showVolume (v1 <> v2 :: Volume []) "Volume [\"vol1\",\"vol2\"], [200]" But then i want to define a GADT, which has different behaviors depending on argument type. So different records, depending on their type, will behave differently.

data Config a where Empty :: Config a Name :: Last String -> Config String Size :: Num a => Sum a -> Config a deriving instance Show a => Show (Config a) instance Monoid (Config a) where mempty = Empty (Name x) `mappend` (Name y) = Name (x `mappend` y) (Size x) `mappend` (Size y) = Size (x `mappend` y) x `mappend` Empty = x Empty `mappend` y = y

but i can't even define a `Functor` instance for this type, because `case` branches have different type and `Functor` laws won't hold.. Hm.. instance Functor Config where fmap f Empty = Empty --fmap f (Name s) = case cast f of -- Just g -> case (g s) of -- Just s' -> Name s' -- _ -> Empty -- Nothing -> Empty The other problem is with instances for classes requiring type of kind `*`. I'll end up with what i've asked before: instance (Show a, Show (t a)) => Show (Volume t) where Well, i didn't write that before asking, so i realize all these problems only now (i even forgot to change the subject, what else to say?). And now i don't even sure what the proper subject should be. So thanks and never mind, i need to try more to figure out what to ask.

Dmitriy Matrosov writes:

...

Hi.

Is there a way to avoid `UndecidableInstances` in following code:

data A f = A {_a1 :: f String}

instance Show (f String) => Show (A f) where

it does not compile with

1.hs:4:10: error: • The constraint ‘Show (f String)’ is no smaller than the instance head (Use UndecidableInstances to permit this) • In the instance declaration for ‘Show (A f)’

Though, initially, this was

{-# LANGUAGE RankNTypes #-}

data A f = A {_a1 :: f String}

instance forall f a. Show (f a) => Show (A f) where

which also does not compile with

1.hs:5:10: error: • Variable ‘a’ occurs more often in the constraint ‘Show (f a)’ than in the instance head (Use UndecidableInstances to permit this) • In the instance declaration for ‘Show (A f)’

The error is different and i don't sure, that this two cases are

related.

...

I want these instances to make a type with many records parametrized by `Alternative` type, e.g.

data Volume t = Volume { _volName :: t Name , _volSize :: t Size , _volPath :: t Path , _pool :: t Pool }

When i try to make instances, which require `*` type, i will end with above cases.

-- Jack