How to create ADT in Haskell?












16















In Scala I can describe such ADT:



sealed trait Foo
case class A(a: Int) extends Foo
case class B(b: String) extends Foo
case class C(a: A, b: B) extends Foo


How can I do the same in Haskell?



data Foo = A Int | B String | C A B


It doesn't work, because A and B are not types. Should I use GHC extensions to do it?










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    16















    In Scala I can describe such ADT:



    sealed trait Foo
    case class A(a: Int) extends Foo
    case class B(b: String) extends Foo
    case class C(a: A, b: B) extends Foo


    How can I do the same in Haskell?



    data Foo = A Int | B String | C A B


    It doesn't work, because A and B are not types. Should I use GHC extensions to do it?










    share|improve this question









    New contributor




    Andrew is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























      16












      16








      16


      2






      In Scala I can describe such ADT:



      sealed trait Foo
      case class A(a: Int) extends Foo
      case class B(b: String) extends Foo
      case class C(a: A, b: B) extends Foo


      How can I do the same in Haskell?



      data Foo = A Int | B String | C A B


      It doesn't work, because A and B are not types. Should I use GHC extensions to do it?










      share|improve this question









      New contributor




      Andrew is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.












      In Scala I can describe such ADT:



      sealed trait Foo
      case class A(a: Int) extends Foo
      case class B(b: String) extends Foo
      case class C(a: A, b: B) extends Foo


      How can I do the same in Haskell?



      data Foo = A Int | B String | C A B


      It doesn't work, because A and B are not types. Should I use GHC extensions to do it?







      scala haskell algebraic-data-types






      share|improve this question









      New contributor




      Andrew is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question









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      Andrew is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|improve this question




      share|improve this question








      edited 2 days ago









      mfirry

      2,75811729




      2,75811729






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      asked 2 days ago









      AndrewAndrew

      834




      834




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          1 Answer
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          26














          In Scala, your ADT makes A,B,C to be subtypes of Foo. In Haskell we do not have subtypes, so A,B,C are instead constructors of type Foo.



          A few possible workarounds:





          1. Repeat the fields. This is the most basic option.



            data Foo = A Int | B String | C Int String



          2. Define additional types, so that we can reuse them more than once.



            data AT = AT Int      -- can have many arguments
            data BT = BT String -- can have many arguments
            data Foo = A AT | B BT | C AT BT



          3. Exploit a GADT



            data FooTag = AT | BT | CT

            data Foo (tag :: FooTag) where
            A :: Int -> Foo 'AT
            B :: String -> Foo 'BT
            C :: Foo 'AT -> Foo 'BT -> Foo 'CT


            Here, in the last line we are able to refer to "the values constructed using A" using the type Foo 'AT, since tag AT is only used by constructor A.
            Note that this approach adds a tag parameter to Foo, so it slightly changes the interface: we can no longer write bar :: Foo -> ..., but we have to write bar :: Foo t -> ... (or to use existential types).








          share|improve this answer





















          • 4





            The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

            – chepner
            2 days ago











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          1 Answer
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          active

          oldest

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          26














          In Scala, your ADT makes A,B,C to be subtypes of Foo. In Haskell we do not have subtypes, so A,B,C are instead constructors of type Foo.



          A few possible workarounds:





          1. Repeat the fields. This is the most basic option.



            data Foo = A Int | B String | C Int String



          2. Define additional types, so that we can reuse them more than once.



            data AT = AT Int      -- can have many arguments
            data BT = BT String -- can have many arguments
            data Foo = A AT | B BT | C AT BT



          3. Exploit a GADT



            data FooTag = AT | BT | CT

            data Foo (tag :: FooTag) where
            A :: Int -> Foo 'AT
            B :: String -> Foo 'BT
            C :: Foo 'AT -> Foo 'BT -> Foo 'CT


            Here, in the last line we are able to refer to "the values constructed using A" using the type Foo 'AT, since tag AT is only used by constructor A.
            Note that this approach adds a tag parameter to Foo, so it slightly changes the interface: we can no longer write bar :: Foo -> ..., but we have to write bar :: Foo t -> ... (or to use existential types).








          share|improve this answer





















          • 4





            The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

            – chepner
            2 days ago
















          26














          In Scala, your ADT makes A,B,C to be subtypes of Foo. In Haskell we do not have subtypes, so A,B,C are instead constructors of type Foo.



          A few possible workarounds:





          1. Repeat the fields. This is the most basic option.



            data Foo = A Int | B String | C Int String



          2. Define additional types, so that we can reuse them more than once.



            data AT = AT Int      -- can have many arguments
            data BT = BT String -- can have many arguments
            data Foo = A AT | B BT | C AT BT



          3. Exploit a GADT



            data FooTag = AT | BT | CT

            data Foo (tag :: FooTag) where
            A :: Int -> Foo 'AT
            B :: String -> Foo 'BT
            C :: Foo 'AT -> Foo 'BT -> Foo 'CT


            Here, in the last line we are able to refer to "the values constructed using A" using the type Foo 'AT, since tag AT is only used by constructor A.
            Note that this approach adds a tag parameter to Foo, so it slightly changes the interface: we can no longer write bar :: Foo -> ..., but we have to write bar :: Foo t -> ... (or to use existential types).








          share|improve this answer





















          • 4





            The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

            – chepner
            2 days ago














          26












          26








          26







          In Scala, your ADT makes A,B,C to be subtypes of Foo. In Haskell we do not have subtypes, so A,B,C are instead constructors of type Foo.



          A few possible workarounds:





          1. Repeat the fields. This is the most basic option.



            data Foo = A Int | B String | C Int String



          2. Define additional types, so that we can reuse them more than once.



            data AT = AT Int      -- can have many arguments
            data BT = BT String -- can have many arguments
            data Foo = A AT | B BT | C AT BT



          3. Exploit a GADT



            data FooTag = AT | BT | CT

            data Foo (tag :: FooTag) where
            A :: Int -> Foo 'AT
            B :: String -> Foo 'BT
            C :: Foo 'AT -> Foo 'BT -> Foo 'CT


            Here, in the last line we are able to refer to "the values constructed using A" using the type Foo 'AT, since tag AT is only used by constructor A.
            Note that this approach adds a tag parameter to Foo, so it slightly changes the interface: we can no longer write bar :: Foo -> ..., but we have to write bar :: Foo t -> ... (or to use existential types).








          share|improve this answer















          In Scala, your ADT makes A,B,C to be subtypes of Foo. In Haskell we do not have subtypes, so A,B,C are instead constructors of type Foo.



          A few possible workarounds:





          1. Repeat the fields. This is the most basic option.



            data Foo = A Int | B String | C Int String



          2. Define additional types, so that we can reuse them more than once.



            data AT = AT Int      -- can have many arguments
            data BT = BT String -- can have many arguments
            data Foo = A AT | B BT | C AT BT



          3. Exploit a GADT



            data FooTag = AT | BT | CT

            data Foo (tag :: FooTag) where
            A :: Int -> Foo 'AT
            B :: String -> Foo 'BT
            C :: Foo 'AT -> Foo 'BT -> Foo 'CT


            Here, in the last line we are able to refer to "the values constructed using A" using the type Foo 'AT, since tag AT is only used by constructor A.
            Note that this approach adds a tag parameter to Foo, so it slightly changes the interface: we can no longer write bar :: Foo -> ..., but we have to write bar :: Foo t -> ... (or to use existential types).









          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 days ago

























          answered 2 days ago









          chichi

          76.9k287145




          76.9k287145








          • 4





            The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

            – chepner
            2 days ago














          • 4





            The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

            – chepner
            2 days ago








          4




          4





          The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

          – chepner
          2 days ago





          The last example requires several extensions, though, right? (DataKinds, GADTs, and KindSignatures, I think.)

          – chepner
          2 days ago












          Andrew is a new contributor. Be nice, and check out our Code of Conduct.










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