Language/LOL/Symantic/Type/Int.hs

   1 {-# LANGUAGE FlexibleContexts #-}
   2 {-# LANGUAGE GADTs #-}
   3 {-# LANGUAGE MultiParamTypeClasses #-}
   4 {-# LANGUAGE OverloadedStrings #-}
   5 {-# LANGUAGE ScopedTypeVariables #-}
   6 {-# LANGUAGE TypeFamilies #-}
   7 {-# LANGUAGE UndecidableInstances #-}
   8 module Language.LOL.Symantic.Type.Int where
   9
  10 import Data.Maybe (isJust)
  11 import Data.Type.Equality ((:~:)(Refl))
  12
  13 import Language.LOL.Symantic.Type.Common
  14 import Language.LOL.Symantic.Type.Fun
  15 import Language.LOL.Symantic.Type.Bool
  16 import Language.LOL.Symantic.Type.Var
  17
  18 -- * Type 'Type_Int'
  19 -- | The 'Int' type.
  20 data Type_Int (root:: * -> *) h where
  21         Type_Int :: Type_Int root Int
  22 type instance Root_of_Type      (Type_Int root) = root
  23 type instance Error_of_Type ast (Type_Int root) = ()
  24
  25 instance -- Type_Eq
  26  Type_Eq (Type_Int root) where
  27         type_eq Type_Int Type_Int = Just Refl
  28 instance -- Eq
  29  Eq (Type_Int root h) where
  30         x == y = isJust $ x `type_eq` y
  31 instance -- String_from_Type
  32  String_from_Type (Type_Int root) where
  33         string_from_type Type_Int = "Int"
  34 instance -- Show
  35  Show (Type_Int root h) where
  36         show = string_from_type
  37 instance Type_Constraint Eq (Type_Int root) where
  38         type_constraint _c Type_Int = Just Dict
  39 instance Type_Constraint Ord (Type_Int root) where
  40         type_constraint _c Type_Int = Just Dict
  41
  42 -- | Convenient alias to include a 'Type_Int' within a type.
  43 type_int :: Type_Root_Lift Type_Int root => root Int
  44 type_int = type_root_lift Type_Int
  45
  46 -- * Type 'Type_Fun_Int'
  47 -- | Convenient alias.
  48 type Type_Fun_Int lam
  49  = Type_Root (Type_Alt  Type_Var
  50              (Type_Alt (Type_Fun lam)
  51                         Type_Int))
  52
  53 -- * Type 'Type_Fun_Bool_Int'
  54 -- | Convenient alias.
  55 type Type_Fun_Bool_Int lam
  56  = Type_Root (Type_Alt  Type_Var
  57              (Type_Alt (Type_Fun lam)
  58              (Type_Alt  Type_Bool
  59                         Type_Int)))