Language/Symantic/Type/Int.hs

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