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+module serialize4
+
+import StdEnv, StdMaybe, monad
+
+/*
+ Pieter Koopman, pieter@cs.ru.nl
+ Advanced Programming, week 4, 2017
+
+ import StdMaybe from Libraries/StdLib
+ use StdEnv or StdEnv 64
+ use Basic Values Only as conclose option for a nicer output.
+*/
+
+// ---
+
+:: State s a = S (s -> (Maybe a,s))
+
+unS :: (State s a) -> s -> (Maybe a,s)
+unS (S f) = f
+
+instance Functor (State s) where
+ fmap f s = fail
+instance Applicative (State s) where
+ pure a = fail
+ (<*>) f x = fail
+instance fail (State s) where
+ fail = S \s.(Nothing,s)
+instance Monad (State s) where
+ bind a f = fail
+instance OrMonad (State s) where
+ (<|>) f g = fail
+
+// ---
+
+:: Serialized = Serialized
+
+ser :: Serialized
+ser = Serialized
+
+toStrings :: Serialized -> [String]
+toStrings _ = ["to be done\n"]
+
+:: Serialize a :== State Serialized a
+
+wrt :: a -> Serialize String | toString a
+wrt a = fail
+
+rd :: Serialize String
+rd = fail
+
+match :: a -> Serialize a | toString a
+match a = fail
+
+pred :: (String->Bool) -> Serialize String
+pred f = fail
+
+// ---
+
+:: UNIT = UNIT
+:: EITHER a b = LEFT a | RIGHT b
+:: PAIR a b = PAIR a b
+:: CONS a = CONS String a
+
+:: Write a :== a -> Serialize String
+:: Read a :== Serialize a
+
+class serialize a | isUNIT a where
+ write :: a -> Serialize String
+ read :: Serialize a
+
+class serialize1 t where
+ write1 :: (Write a) (t a) -> Serialize String
+ read1 :: (Read a) -> Serialize (t a)
+
+class serializeCONS a where
+ writeCons :: (Write a) (CONS a) -> Serialize String
+ readCons :: String (Read a) -> Serialize (CONS a)
+
+class serialize2 t where
+ write2 :: (Write a) (Write b) (t a b) -> Serialize String
+ read2 :: (Read a) (Read b) -> Serialize (t a b)
+
+class isUNIT a :: a -> Bool
+instance isUNIT UNIT where isUNIT _ = True
+instance isUNIT a where isUNIT _ = False
+
+instance serialize Bool where
+ write b = fail
+ read = fail
+
+instance serialize Int where
+ write i = fail
+ read = fail
+
+instance serialize String where
+ write s = wrt s
+ read = fail
+
+instance serialize UNIT where
+ write _ = fail
+ read = fail
+
+instance serializeCONS UNIT where
+ writeCons wa (CONS name a) = fail
+ readCons name ra = fail
+
+instance serializeCONS a where
+ writeCons wa (CONS name a) = fail
+ readCons name ra =fail
+
+instance serialize2 EITHER where
+ write2 wa wb (LEFT a) = fail
+ write2 wa wb (RIGHT b) = fail
+ read2 ra rb = fail
+
+instance serialize2 PAIR where
+ write2 wa wb (PAIR a b) = fail
+ read2 ra rb = fail
+
+// ---
+
+:: ListG a :== EITHER (CONS UNIT) (CONS (PAIR a [a]))
+
+fromList :: [a] -> ListG a
+fromList [] = LEFT (CONS NilString UNIT)
+fromList [a:x] = RIGHT (CONS ConsString (PAIR a x))
+
+toList :: (ListG a) -> [a]
+toList (LEFT (CONS NilString UNIT)) = []
+toList (RIGHT (CONS ConsString (PAIR a x))) = [a:x]
+
+NilString :== "Nil"
+ConsString :== "Cons"
+
+instance serialize [a] | serialize a where
+ write a = write1 write a
+ read = read1 read
+
+instance serialize1 [] where
+ write1 writea l = fail
+ read1 reada = fail
+// ---
+
+:: Bin a = Leaf | Bin (Bin a) a (Bin a)
+
+:: BinG a :== EITHER (CONS UNIT) (CONS (PAIR (Bin a) (PAIR a (Bin a))))
+
+fromBin :: (Bin a) -> BinG a
+fromBin Leaf = LEFT (CONS LeafString UNIT)
+fromBin (Bin l a r) = RIGHT (CONS BinString (PAIR l (PAIR a r)))
+
+toBin :: (BinG a) -> Bin a
+toBin (LEFT (CONS _ UNIT)) = Leaf
+toBin (RIGHT (CONS _ (PAIR l (PAIR a r)))) = Bin l a r
+
+LeafString :== "Leaf"
+BinString :== "Bin"
+
+instance == (Bin a) | == a where
+ (==) Leaf Leaf = True
+ (==) (Bin l a r) (Bin k b s) = l == k && a == b && r == s
+ (==) _ _ = False
+
+instance serialize (Bin a) | serialize a where
+ write b = fail
+ read = fail
+
+instance serialize1 Bin where
+ write1 writea b = fail
+ read1 reada = fail
+// ---
+
+:: Coin = Head | Tail
+:: CoinG :== EITHER (CONS UNIT) (CONS UNIT)
+
+fromCoin :: Coin -> CoinG
+fromCoin Head = LEFT (CONS "Head" UNIT)
+fromCoin Tail = RIGHT (CONS "Tail" UNIT)
+
+toCoin :: CoinG -> Coin
+toCoin (LEFT (CONS _ UNIT)) = Head
+toCoin (RIGHT (CONS _ UNIT)) = Tail
+
+instance == Coin where
+ (==) Head Head = True
+ (==) Tail Tail = True
+ (==) _ _ = False
+
+instance serialize Coin where
+ write c = fail
+ read = fail
+
+// ---
+
+instance serialize (a,b) | serialize a & serialize b where
+ write (a,b) = fail
+ read = fail
+
+// ---
+
+Start =
+ [test True
+ ,test False
+ ,test 0
+ ,test 123
+ ,test -36
+ ,test Head
+ ,test Tail
+ ,test [42]
+ ,test [0..4]
+ ,test [[True],[]]
+ ,test [[[1]],[[2],[3,4]],[[]]]
+ ,test [[True],[]]
+ ,test (Bin Leaf True Leaf)
+ ,test [Bin (Bin Leaf [1] Leaf) [2] (Bin Leaf [3] (Bin Leaf [4,5] Leaf))]
+ ,test [Bin (Bin Leaf [1] Leaf) [2] (Bin Leaf [3] (Bin (Bin Leaf [4,5] Leaf) [6,7] (Bin Leaf [8,9] Leaf)))]
+ ,test Head
+ ,test Tail
+ ,test (7,True)
+ ,test (Head,(7,[Tail]))
+ ,["End of the tests.\n"]
+ ]
+
+test :: a -> [String] | serialize, == a
+test a = toStrings (snd ((unS t) ser)) where
+ t
+ = write a
+ >>| read
+ >>= \b. guard (a == b)
+ >>| write "Oke "
+ <|> write "Failure "
+