{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE TypeFamilies #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
module Language.Symantic.Type.List where

import Data.Proxy
import Data.Type.Equality ((:~:)(Refl))
import Language.Symantic.Type.Root
import Language.Symantic.Type.Type0
import Language.Symantic.Type.Type1

-- * Type 'Type_List'
-- | The list type.
type Type_List = Type_Type1 (Proxy [])

pattern Type_List :: root a -> Type_List root ([] a)
pattern Type_List a = Type_Type1 Proxy a

instance Constraint_Type Eq root => Constraint_Type Eq (Type_List root) where
	constraint_type c (Type_Type1 _ a)
	 | Just Dict <- constraint_type c a
	 = Just Dict
	constraint_type _c _ = Nothing
instance Constraint_Type Ord root => Constraint_Type Ord (Type_List root) where
	constraint_type c (Type_Type1 _ a)
	 | Just Dict <- constraint_type c a
	 = Just Dict
	constraint_type _c _ = Nothing
instance Constraint_Type Monoid (Type_List root) where
	constraint_type _c Type_Type1{} = Just Dict
instance Constraint_Type1 Functor (Type_List root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Applicative (Type_List root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Foldable (Type_List root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Traversable (Type_List root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Monad (Type_List root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance -- Eq_Type
 Eq_Type root =>
 Eq_Type (Type_List root) where
	eq_type (Type_Type1 _px1 a1) (Type_Type1 _px2 a2)
	 | Just Refl <- a1 `eq_type` a2
	 = Just Refl
	eq_type _ _ = Nothing
instance -- Eq_Type1
 Eq_Type1 (Type_List root) where
	eq_type1 Type_Type1{} Type_Type1{}
	 = Just Refl
instance -- String_from_Type
 String_from_Type root =>
 String_from_Type (Type_List root) where
	string_from_type (Type_Type1 _f a) =
		"[" ++ string_from_type a ++ "]"

-- | Inject 'Type_List' within a root type.
type_list
 :: Lift_Type_Root Type_List root
 => root h_a
 -> root ([] h_a)
type_list = lift_type_root . Type_Type1 (Proxy::Proxy [])