[Haskell-cafe] Numeric literals

Lennart Augustsson lennart at augustsson.net
Fri Mar 20 19:05:59 EDT 2009


That's a horrible definition of fromRational.  Use
fromRational = P.fromRational.

On Fri, Mar 20, 2009 at 9:09 PM, Lauri Oksanen <lassoken at gmail.com> wrote:
> Thanks for answers. Here is some working code if somebody plays later
> with similar things.
>
> {-# OPTIONS
>  -XNoImplicitPrelude
>  -XFunctionalDependencies
>  -XMultiParamTypeClasses
>  -XFlexibleInstances
> #-}
> module Test (
>      Integer
>    , Double
>    , fromInteger
>    , fromRational
>    , (+)
> ) where
> import Prelude (Integer, Double)
> import qualified Prelude as P
> import qualified GHC.Real
>
> fromInteger :: Integer -> Integer
> fromInteger = P.id
>
> fromRational :: P.Rational -> Double
> fromRational (n GHC.Real.:% d) = let
>    n' = P.fromInteger n :: Double
>    d' = P.fromInteger d :: Double
>    in n' P./ d'
>
>
> -- Prelude types ---------
>
> instance Semigroup Integer where plus = (P.+)
> instance Semigroup Double where plus = (P.+)
> instance Subset Integer Double where embed = P.fromInteger
>
>
> -- Class hierarchy ---------
>
> class Plus a b c | a b -> c where
>   (+) :: a -> b -> c
>
> class Semigroup a where
>    plus :: a -> a -> a
>
> class Subset a b where
>    embed :: a -> b
>
> instance (Semigroup a) => (Plus a a a) where (+) = plus
>
>
> -- Coercion rules ---------
>
> instance Plus Double Integer Double where
>   x + j = x + (embed j :: Double)
> instance Plus Integer Double Double where
>   j + x = (embed j :: Double) + x
>
>
> Ps. I'm very interested in hearing, if somebody has ideas, how to
> generalize the coercion rules to something like
>
> instance (Semigroup a) => (Subset b a) => (Plus a b a) where
>   x + j = x + (embed j)
>
>
> - Lauri
>
> On Fri, Mar 20, 2009 at 3:58 PM, Lennart Augustsson
> <lennart at augustsson.net> wrote:
>> I think your best bet is -fno-implicit-prelude, and defining
>> fromInteger = id :: Integer->Integer.
>>
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