Haskell 中的约束值类型

Constrained Value Types in Haskell

是否可以在 Haskell 中定义约束类型,即我希望能够表达,

Prelude> let legalCharacters = ' ':['A'..'Z']
Prelude> legalCharacters
" ABCDEFGHIJKLMNOPQRSTUVWXYZ"

作为一种类型,如果可能的话。

可以在现代 GHC 中完成(>= 7.10,也许已经是 7.8)。

{-# LANGUAGE KindSignatures, DataKinds, MonoLocalBinds #-}
import GHC.TypeLits

newtype LegalChar (legalSet :: Symbol)
   = LegalChar {getLegalChar :: Char}
  deriving (Show)

fromChar :: KnownSymbol legal => Char -> Maybe (LegalChar legal)
fromChar c
   | c`elem`symbolVal r = Just r
   | otherwise          = Nothing
 where r = LegalChar c

然后

*Main> fromChar 'a' :: Maybe (LegalChar "abc")
Just (LegalChar {getLegalChar = 'a'})
*Main> fromChar 'x' :: Maybe (LegalChar "abc")
Nothing

我认为在 GHC-8 中你甚至可以给 legalSet 那种 String 并取消 KnownSymbol 约束,不知道它是如何工作的。