{-# LANGUAGE DefaultSignatures #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
-- | Expression for 'Either'.
module Language.Symantic.Expr.Either where

import Data.Proxy (Proxy(..))
import Prelude hiding (maybe)

import Language.Symantic.Type
import Language.Symantic.Trans.Common
import Language.Symantic.Expr.Root
import Language.Symantic.Expr.Error
import Language.Symantic.Expr.From

-- * Class 'Sym_Tuple_Lam'
-- | Symantic.
class Sym_Either repr where
	left  :: repr l -> repr (Either l r)
	right :: repr r -> repr (Either l r)
	default left  :: Trans t repr => t repr l -> t repr (Either l r)
	default right :: Trans t repr => t repr r -> t repr (Either l r)
	left  = trans_map1 left
	right = trans_map1 right

-- * Type 'Expr_Either'
-- | Expression.
data Expr_Either (root:: *)
type instance Root_of_Expr      (Expr_Either root)      = root
type instance Type_of_Expr      (Expr_Either root)      = Type_Either
type instance Sym_of_Expr       (Expr_Either root) repr = (Sym_Either repr)
type instance Error_of_Expr ast (Expr_Either root)      = No_Error_Expr

instance Constraint_Type1 Functor (Type_Type1 (Proxy (Either l)) root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Applicative (Type_Type1 (Proxy (Either l)) root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Traversable (Type_Type1 (Proxy (Either l)) root) where
	constraint_type1 _c Type_Type1{} = Just Dict
instance Constraint_Type1 Monad (Type_Type1 (Proxy (Either l)) root) where
	constraint_type1 _c Type_Type1{} = Just Dict

-- | Parsing utility to check that the given type is a 'Type_Either'
-- or raise 'Error_Expr_Type_mismatch'.
check_type_either
 :: forall ast ex root ty h ret.
 ( root ~ Root_of_Expr ex
 , ty ~ Type_Root_of_Expr ex
 , Lift_Type   Type_Either (Type_of_Expr root)
 , Unlift_Type Type_Either (Type_of_Expr root)
 , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
                   (Error_of_Expr ast root)
 )
 => Proxy ex -> ast -> ty h
 -> (Type_Either ty h -> Either (Error_of_Expr ast root) ret)
 -> Either (Error_of_Expr ast root) ret
check_type_either ex ast ty k =
	case unlift_type $ unType_Root ty of
	 Just ty_e -> k ty_e
	 Nothing -> Left $
		error_expr ex $
		Error_Expr_Type_mismatch ast
		 (Exists_Type (type_either (type_var0 SZero) (type_var0 $ SSucc SZero)
		 :: Type_Root_of_Expr ex (Either Var0 Var0)))
		 (Exists_Type ty)

-- | Parse 'left'.
left_from
 :: forall root ty ty_root ast hs ret.
 ( ty ~ Type_Root_of_Expr (Expr_Either root)
 , ty_root ~ Type_Root_of_Expr root
 , Type_from ast ty_root
 , Eq_Type (Type_Root_of_Expr root)
 , Expr_from ast root
 , Lift_Type   Type_Either (Type_of_Expr root)
 , Unlift_Type Type_Either (Type_of_Expr root)
 , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
                   (Error_of_Expr ast root)
 , Root_of_Expr root ~ root
 ) => ast -> ast
 -> Expr_From ast (Expr_Either root) hs ret
left_from ast_ty_r ast_l ex ast ctx k =
	either (\err -> Left $ error_expr ex $ Error_Expr_Type err ast) id $
	type_from (Proxy::Proxy ty_root) ast_ty_r $ \ty_r -> Right $
	expr_from (Proxy::Proxy root) ast_l ctx $
	 \(ty_l::Type_Root_of_Expr root h_l) (Forall_Repr_with_Context l) ->
	k (type_either ty_l ty_r) $ Forall_Repr_with_Context $
		\c -> left (l c)

-- | Parse 'right'.
right_from
 :: forall root ty ty_root ast hs ret.
 ( ty ~ Type_Root_of_Expr (Expr_Either root)
 , ty_root ~ Type_Root_of_Expr root
 , Type_from ast ty_root
 , Eq_Type (Type_Root_of_Expr root)
 , Expr_from ast root
 , Lift_Type   Type_Either (Type_of_Expr root)
 , Unlift_Type Type_Either (Type_of_Expr root)
 , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
                   (Error_of_Expr ast root)
 , Root_of_Expr root ~ root
 ) => ast -> ast
 -> Expr_From ast (Expr_Either root) hs ret
right_from ast_ty_l ast_r ex ast ctx k =
	either (\err -> Left $ error_expr ex $ Error_Expr_Type err ast) id $
	type_from (Proxy::Proxy ty_root) ast_ty_l $ \ty_l -> Right $
	expr_from (Proxy::Proxy root) ast_r ctx $
	 \(ty_r::Type_Root_of_Expr root h_r) (Forall_Repr_with_Context r) ->
	k (type_either ty_l ty_r) $ Forall_Repr_with_Context $
		\c -> right (r c)