Question

我有这个异类列表，其类型反映了它包含的值的类型。我可以通过检查包含的每个类型是否满足约束来将所有元素转换为字符串：

{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeApplications #-}   

import GHC.Exts
import GHC.TypeLits

import Data.Proxy

type family AllSatisfy (f :: k -> Constraint) (xs :: [k]) :: Constraint where
    AllSatisfy f '[] = ()
    AllSatisfy f (x ': xs) = (f x, AllSatisfy f xs)

data HList (as :: [*]) where
    HNil :: HList '[]
    HCons :: a -> HList as -> HList (a ': as)

type family Keys (xs :: [(a, b)]) :: [a] where
    Keys '[] = '[]
    Keys ( '(a, b) ': xs) = a ': Keys xs

type family Values (xs :: [(a, b)]) :: [b] where
    Values '[] = '[]
    Values ( '(a, b) ': xs) = b ': Values xs

showHList :: AllSatisfy Show xs => HList xs -> [String]
showHList HNil = []
showHList (HCons x xs) = show x : showHList xs

我希望能够做的是通过类型级别关联列表指定一些额外的信息，该列表由HList中的类型索引。类似的东西：

showWithKey :: forall (keyMap :: [(*, Symbol)]) (b :: Symbol) (rest :: [(*, Symbol)]).
               (AllSatisfy Show (Keys keyMap)
               ,AllSatisfy KnownSymbol (Values keyMap)
               ) =>
               Proxy keyMap -> HList (Keys keyMap) -> [(String, String)]
showWithKey _ HNil = []
showWithKey _ (HCons (x :: a) (xs :: HList as)) =
    let p = (Proxy @keyMap) :: Proxy ( '(a, b) ': rest )
    in (show x, symbolVal (Proxy @b)) : (showWithKey (Proxy @rest) xs)

现在，很明显，如果(Keys keyMap)非空，那么keyMap，但GHC努力想出这个：

Could not deduce: keyMap ~ ('(a, b) : rest)
      from the context: (AllSatisfy Show (Keys keyMap),
                         AllSatisfy KnownSymbol (Values keyMap))
        bound by the type signature for:
                   showWithKey :: (AllSatisfy Show (Keys keyMap),
                                   AllSatisfy KnownSymbol (Values keyMap)) =>
                                  Proxy keyMap -> HList (Keys keyMap) -> [(String, String)]
      or from: Keys keyMap ~ (a : as)
        bound by a pattern with constructor:
                   HCons :: forall a (as :: [ghc-prim-0.5.0.0:GHC.Types.*]).
                            a -> HList as -> HList (a : as),
                 in an equation for ‘showWithKey’
      ‘keyMap’ is a rigid type variable bound by
        the type signature for:
          showWithKey :: forall (keyMap :: [(ghc-prim-0.5.0.0:GHC.Types.*,
                                             Symbol)]) (b :: Symbol) (rest :: [(ghc-prim-0.5.0.0:GHC.Types.*,
                                                                                Symbol)]).
                         (AllSatisfy Show (Keys keyMap),
                          AllSatisfy KnownSymbol (Values keyMap)) =>
                         Proxy keyMap -> HList (Keys keyMap) -> [(String, String)]
      Expected type: Proxy ('(a, b) : rest)
        Actual type: Proxy keyMap

如何重写这个以便GHC可以解决问题？

Answer 1

根据user2407038所说的一些提示，我创建了depMap类型的具体表示，然后创建了一个类型类来描述该类型中不完全单例但至少是规范的值。

{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE AllowAmbiguousTypes #-}

import GHC.Exts
import GHC.TypeLits

import Data.Proxy

type family AllSatisfy (f :: k -> Constraint) (xs :: [k]) :: Constraint where
    AllSatisfy f '[] = ()
    AllSatisfy f (x ': xs) = (f x, AllSatisfy f xs)

data HList (as :: [*]) where
    HNil :: HList '[]
    HCons :: a -> HList as -> HList (a ': as)

type family Keys (xs :: [(a, b)]) :: [a] where
    Keys '[] = '[]
    Keys ( '(a, b) ': xs) = a ': Keys xs

type family Values (xs :: [(a, b)]) :: [b] where
    Values '[] = '[]
    Values ( '(a, b) ': xs) = b ': Values xs

showHList :: AllSatisfy Show xs => HList xs -> [String]
showHList HNil = []
showHList (HCons x xs) = show x : showHList xs

data SKeyMap :: [(*, Symbol)] -> * where
  SKeyNil :: SKeyMap '[]
  SKeyCons :: Proxy a -> Proxy s -> SKeyMap xs -> SKeyMap ( '(a, s) ': xs )

class KnownKeyMap (keyMap :: [(*, Symbol)]) where
    sKeyMap :: SKeyMap keyMap


instance KnownKeyMap '[] where
    sKeyMap = SKeyNil

instance KnownKeyMap keyMap => KnownKeyMap ( '(a, s) ': keyMap ) where
    sKeyMap = SKeyCons Proxy Proxy sKeyMap

showWithKey' :: forall (keyMap :: [(*, Symbol)]) .
               (AllSatisfy Show (Keys keyMap)
               ,AllSatisfy KnownSymbol (Values keyMap)
               ) =>
               SKeyMap keyMap -> HList (Keys keyMap) -> [(String, String)]
showWithKey' SKeyNil HNil = []
showWithKey' (SKeyCons _ sp skRest) (HCons (x :: a) (xs :: HList as)) =
    (show x, symbolVal sp) : (showWithKey' skRest xs)

showWithKey :: forall (keyMap :: [(*, Symbol)]) .
               (KnownKeyMap keyMap
               ,AllSatisfy Show (Keys keyMap)
               ,AllSatisfy KnownSymbol (Values keyMap)
               ) =>
               HList (Keys keyMap) -> [(String, String)]
showWithKey = showWithKey' (sKeyMap @keyMap)

使用类型级别地图

1 个答案: