Language/Symantic/Type/Var.hs

   1 {-# LANGUAGE FlexibleContexts #-}
   2 {-# LANGUAGE FlexibleInstances #-}
   3 {-# LANGUAGE GADTs #-}
   4 {-# LANGUAGE MultiParamTypeClasses #-}
   5 {-# LANGUAGE PatternSynonyms #-}
   6 {-# LANGUAGE TypeFamilies #-}
   7 {-# LANGUAGE ScopedTypeVariables #-}
   8 {-# LANGUAGE UndecidableInstances #-}
   9 {-# OPTIONS_GHC -fno-warn-missing-methods #-}
  10 {-# OPTIONS_GHC -fno-warn-orphans #-}
  11 -- | Type variable.
  12 module Language.Symantic.Type.Var
  13  ( module Language.Symantic.Type.Var
  14  , module Language.Symantic.Lib.Data.Peano
  15  ) where
  16
  17 import Data.Type.Equality ((:~:)(Refl))
  18 import Language.Symantic.Lib.Data.Peano
  19 import Language.Symantic.Type.Root
  20 import Language.Symantic.Type.Type0
  21 import Language.Symantic.Type.Type1
  22
  23 -- * Type 'Var0'
  24 newtype Var0 = Var0 EPeano
  25 type instance Host0_of EPeano = Var0
  26
  27 -- | Undefined instance required to build errors.
  28 instance Eq Var0
  29 -- | Undefined instance required to build errors.
  30 instance Ord Var0
  31 -- | Undefined instance required to build errors.
  32 instance Monoid Var0
  33 instance Constraint_Type Eq       (Type_Var0 root)
  34 instance Constraint_Type Monoid   (Type_Var0 root)
  35 instance Constraint_Type Ord      (Type_Var0 root)
  36 instance Constraint_Type Num      (Type_Var0 root)
  37 instance Constraint_Type Integral (Type_Var0 root)
  38
  39 -- * Type 'Var1'
  40 newtype Var1 a = Var1 EPeano
  41 type instance Host1_of EPeano = Var1
  42
  43 -- * Type 'Type_Var0'
  44 -- | The variable type of kind @*@.
  45 type Type_Var0 = Type_Type0 EPeano
  46
  47 pattern Type_Var0 :: SPeano p -> Type_Var0 root Var0
  48 pattern Type_Var0 p = Type_Type0 (EPeano p)
  49
  50 instance Eq_Type1 (Type_Var0 root) where
  51 instance -- String_from_Type
  52  String_from_Type (Type_Var0 root) where
  53         string_from_type (Type_Type0 (EPeano p)) =
  54                 "t" ++ show (integral_from_peano p::Integer)
  55
  56 -- | Inject 'Type_Var0' within a root type.
  57 type_var0 :: Lift_Type_Root Type_Var0 root => SPeano p -> root Var0
  58 type_var0 = lift_type_root . Type_Type0 . EPeano
  59
  60 -- * Type 'Type_Var1'
  61 -- | The variable type of kind @* -> *@.
  62 type Type_Var1 = Type_Type1 EPeano
  63
  64 pattern Type_Var1 :: SPeano p -> root a -> Type_Var1 root (Var1 a)
  65 pattern Type_Var1 p a = Type_Type1 (EPeano p) a
  66
  67 instance Constraint_Type  Eq          (Type_Var1 root)
  68 instance Constraint_Type  Ord         (Type_Var1 root)
  69 instance Constraint_Type  Monoid      (Type_Var1 root)
  70 instance Constraint_Type  Num         (Type_Var1 root)
  71 instance Constraint_Type  Integral    (Type_Var1 root)
  72 instance Constraint_Type1 Applicative (Type_Var1 root)
  73 instance Constraint_Type1 Foldable    (Type_Var1 root)
  74 instance Constraint_Type1 Functor     (Type_Var1 root)
  75 instance Constraint_Type1 Monad       (Type_Var1 root)
  76 instance Constraint_Type1 Traversable (Type_Var1 root)
  77 instance Eq_Type1 (Type_Var1 root) where
  78         eq_type1 (Type_Type1 p1 _) (Type_Type1 p2 _)
  79          | p1 == p2
  80          = Just Refl
  81         eq_type1 _ _ = Nothing
  82 instance -- String_from_Type
  83  String_from_Type root =>
  84  String_from_Type (Type_Var1 root) where
  85         string_from_type (Type_Type1 (EPeano p) a) =
  86                 "t_" ++ show (integral_from_peano p::Integer) ++
  87                 " " ++ string_from_type a
  88
  89 -- | Inject 'Type_Var1' within a root type.
  90 type_var1 :: Lift_Type_Root Type_Var1 root => SPeano p -> root a -> root (Var1 a)
  91 type_var1 p = lift_type_root . Type_Var1 p