{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE TypeFamilies #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
module Language.Symantic.Type.Maybe 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_Maybe'
-- | The 'Maybe' type.
type Type_Maybe = Type_Type1 (Proxy Maybe)

pattern Type_Map :: root a -> Type_Maybe root (Maybe a)
pattern Type_Map a = Type_Type1 Proxy a

instance Constraint_Type Eq root => Constraint_Type Eq (Type_Maybe 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_Maybe root) where
	constraint_type c (Type_Type1 _ a)
	 | Just Dict <- constraint_type c a
	 = Just Dict
	constraint_type _c _ = Nothing
instance Constraint_Type Monoid root => Constraint_Type Monoid (Type_Maybe root) where
	constraint_type c (Type_Type1 _ a)
	 | Just Dict <- constraint_type c a
	 = Just Dict
	constraint_type _c _ = Nothing
instance Constraint_Type1 Functor (Type_Maybe root) where
	constraint_type1 _c (Type_Type1 _ _) = Just Dict
instance Constraint_Type1 Applicative (Type_Maybe root) where
	constraint_type1 _c (Type_Type1 _ _) = Just Dict
instance Constraint_Type1 Foldable (Type_Maybe root) where
	constraint_type1 _c (Type_Type1 _ _) = Just Dict
instance Constraint_Type1 Traversable (Type_Maybe root) where
	constraint_type1 _c (Type_Type1 _ _) = Just Dict
instance Constraint_Type1 Monad (Type_Maybe root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance -- Eq_Type
 Eq_Type root =>
 Eq_Type (Type_Maybe 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_Maybe root) where
	eq_type1 Type_Type1{} Type_Type1{}
	 = Just Refl
instance -- String_from_Type
 String_from_Type root =>
 String_from_Type (Type_Maybe root) where
	string_from_type (Type_Type1 _f a) =
		"Maybe" ++ " (" ++ string_from_type a ++ ")"

-- | Inject 'Type_Maybe' within a root type.
type_maybe
 :: Lift_Type_Root Type_Maybe root
 => root h_a
 -> root (Maybe h_a)
type_maybe = lift_type_root . Type_Type1 (Proxy::Proxy Maybe)