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[haskell/symantic.git] / Language / Symantic / Type / List.hs
1 {-# LANGUAGE FlexibleContexts #-}
2 {-# LANGUAGE FlexibleInstances #-}
3 {-# LANGUAGE MultiParamTypeClasses #-}
4 {-# LANGUAGE PatternSynonyms #-}
5 {-# LANGUAGE TypeFamilies #-}
6 {-# OPTIONS_GHC -fno-warn-orphans #-}
7 module Language.Symantic.Type.List where
8
9 import Data.Proxy
10 import Data.Type.Equality ((:~:)(Refl))
11 import Language.Symantic.Type.Root
12 import Language.Symantic.Type.Type0
13 import Language.Symantic.Type.Type1
14
15 -- * Type 'Type_List'
16 -- | The list type.
17 type Type_List = Type_Type1 (Proxy [])
18
19 pattern Type_List :: root a -> Type_List root ([] a)
20 pattern Type_List a = Type_Type1 Proxy a
21
22 instance Constraint_Type1 Monad (Type_List root) where
23 constraint_type1 _c Type_Type1{} = Just Dict
24 instance -- Eq_Type
25 Eq_Type root =>
26 Eq_Type (Type_List root) where
27 eq_type (Type_Type1 _px1 a1) (Type_Type1 _px2 a2)
28 | Just Refl <- a1 `eq_type` a2
29 = Just Refl
30 eq_type _ _ = Nothing
31 instance -- Eq_Type1
32 Eq_Type1 (Type_List root) where
33 eq_type1 Type_Type1{} Type_Type1{}
34 = Just Refl
35 instance -- String_from_Type
36 String_from_Type root =>
37 String_from_Type (Type_List root) where
38 string_from_type (Type_Type1 _f a) =
39 "[" ++ string_from_type a ++ "]"
40
41 -- | Inject 'Type_List' within a root type.
42 type_list
43 :: Lift_Type_Root Type_List root
44 => root h_a
45 -> root ([] h_a)
46 type_list = lift_type_root . Type_Type1 (Proxy::Proxy [])