如何在Haskell中使用子类化来应用增量特异性?

时间:2017-09-07 12:55:06

标签: haskell typeclass subclassing

我正在尝试在Haskell中使用子类来将增量特异性应用于我的类并且没有运气。

我的第一次尝试:

module Subclassing where

class SuperClass a where
  type TheType a :: *
  theFunc :: TheType a -> TheType a

class SuperClass b => SubClass b where
  type TheType b = Int

data MyType

instance SubClass MyType where
  theFunc x = x + x

得出了这个:

Subclassing.hs:10:8: error:
    ‘TheType’ is not a (visible) associated type of class ‘SubClass’

Subclassing.hs:15:3: error:
    ‘theFunc’ is not a (visible) method of class ‘SubClass’

我想知道是否有一些语法方法可以将超类的类型/方法暴露给子类。所以,我在网上搜索了一下,但没有找到任何东西。

在我的第二次尝试中,我尝试通过定义超类的通用实例来强制解决问题,并限制在子类上:

{-# LANGUAGE TypeFamilies           #-}
{-# LANGUAGE AllowAmbiguousTypes    #-}
{-# LANGUAGE FlexibleInstances      #-}
{-# LANGUAGE UndecidableInstances   #-}

module Subclassing where

class SuperClass a where
  type TheType a :: *
  theFunc :: TheType a -> TheType a

class SubClass b
instance SubClass c => SuperClass c where
  type TheType c = Int

data MyType

instance SubClass MyType
instance SuperClass MyType where
  theFunc x = x + x

testFunc :: SuperClass d => [TheType d] -> TheType d
testFunc = sum . (map theFunc)

它产生了这个:

Subclassing2.hs:25:23: error:
    • Overlapping instances for SuperClass a0
        arising from a use of ‘theFunc’
      Matching givens (or their superclasses):
        SuperClass d
          bound by the type signature for:
                     testFunc :: SuperClass d => [TheType d] -> TheType d
          at Subclassing2.hs:24:1-52
      Matching instances:
        instance SubClass c => SuperClass c
          -- Defined at Subclassing2.hs:15:10
        instance SuperClass MyType -- Defined at Subclassing2.hs:21:10
      (The choice depends on the instantiation of ‘a0’)
    • In the first argument of ‘map’, namely ‘theFunc’
      In the second argument of ‘(.)’, namely ‘(map theFunc)’
      In the expression: sum . (map theFunc)

在我的第三次尝试中,我尝试将子类设为类型而不是类。 (我意识到由于 newtype 值构造函数的单个字段限制,这会有限的适用性,但是没有想法。):

{-# LANGUAGE TypeFamilies           #-}
{-# LANGUAGE AllowAmbiguousTypes    #-}

module Subclassing where

class SuperClass a where
  type TheType a :: *
  theFunc :: TheType a -> TheType a

newtype SubClass = SubClass { unSubClass :: Int -> Int }
instance SuperClass SubClass where
  type TheType SubClass = Int
  theFunc = unSubClass

testFunc :: SuperClass d => [TheType d] -> TheType d
testFunc = sum . (map theFunc)

它产生了这个:

Subclassing3.hs:17:13: error:
    • Couldn't match type ‘Int -> Int’ with ‘Int’
      Expected type: TheType SubClass -> TheType SubClass
        Actual type: SubClass -> Int -> Int
    • In the expression: unSubClass
      In an equation for ‘theFunc’: theFunc = unSubClass
      In the instance declaration for ‘SuperClass SubClass’

Subclassing3.hs:20:23: error:
    • Couldn't match type ‘TheType a0’ with ‘TheType d’
      Expected type: TheType a0 -> TheType d
        Actual type: TheType a0 -> TheType a0
      NB: ‘TheType’ is a type function, and may not be injective
      The type variable ‘a0’ is ambiguous
    • In the first argument of ‘map’, namely ‘theFunc’
      In the second argument of ‘(.)’, namely ‘(map theFunc)’
      In the expression: sum . (map theFunc)
    • Relevant bindings include
        testFunc :: [TheType d] -> TheType d
          (bound at Subclassing3.hs:20:1)

1 个答案:

答案 0 :(得分:0)

你的第一个猜测似乎对我来说足够明智,但不,Haskell不允许在(子)类定义中定义关联的类型或方法。