{-# htermination (enumFromThenToChar :: Char -> Char -> Char -> (List Char)) #-} import qualified Prelude data MyBool = MyTrue | MyFalse data List a = Cons a (List a) | Nil data Char = Char MyInt ; data MyInt = Pos Nat | Neg Nat ; data Nat = Succ Nat | Zero ; data Ordering = LT | EQ | GT ; iterate :: (a -> a) -> a -> (List a); iterate f x = Cons x (iterate f (f x)); primMinusNat :: Nat -> Nat -> MyInt; primMinusNat Zero Zero = Pos Zero; primMinusNat Zero (Succ y) = Neg (Succ y); primMinusNat (Succ x) Zero = Pos (Succ x); primMinusNat (Succ x) (Succ y) = primMinusNat x y; primPlusNat :: Nat -> Nat -> Nat; primPlusNat Zero Zero = Zero; primPlusNat Zero (Succ y) = Succ y; primPlusNat (Succ x) Zero = Succ x; primPlusNat (Succ x) (Succ y) = Succ (Succ (primPlusNat x y)); primMinusInt :: MyInt -> MyInt -> MyInt; primMinusInt (Pos x) (Neg y) = Pos (primPlusNat x y); primMinusInt (Neg x) (Pos y) = Neg (primPlusNat x y); primMinusInt (Neg x) (Neg y) = primMinusNat y x; primMinusInt (Pos x) (Pos y) = primMinusNat x y; msMyInt :: MyInt -> MyInt -> MyInt msMyInt = primMinusInt; primPlusInt :: MyInt -> MyInt -> MyInt; primPlusInt (Pos x) (Neg y) = primMinusNat x y; primPlusInt (Neg x) (Pos y) = primMinusNat y x; primPlusInt (Neg x) (Neg y) = Neg (primPlusNat x y); primPlusInt (Pos x) (Pos y) = Pos (primPlusNat x y); psMyInt :: MyInt -> MyInt -> MyInt psMyInt = primPlusInt; numericEnumFromThen n m = iterate (psMyInt (msMyInt m n)) n; primCmpNat :: Nat -> Nat -> Ordering; primCmpNat Zero Zero = EQ; primCmpNat Zero (Succ y) = LT; primCmpNat (Succ x) Zero = GT; primCmpNat (Succ x) (Succ y) = primCmpNat x y; primCmpInt :: MyInt -> MyInt -> Ordering; primCmpInt (Pos Zero) (Pos Zero) = EQ; primCmpInt (Pos Zero) (Neg Zero) = EQ; primCmpInt (Neg Zero) (Pos Zero) = EQ; primCmpInt (Neg Zero) (Neg Zero) = EQ; primCmpInt (Pos x) (Pos y) = primCmpNat x y; primCmpInt (Pos x) (Neg y) = GT; primCmpInt (Neg x) (Pos y) = LT; primCmpInt (Neg x) (Neg y) = primCmpNat y x; compareMyInt :: MyInt -> MyInt -> Ordering compareMyInt = primCmpInt; esEsOrdering :: Ordering -> Ordering -> MyBool esEsOrdering LT LT = MyTrue; esEsOrdering LT EQ = MyFalse; esEsOrdering LT GT = MyFalse; esEsOrdering EQ LT = MyFalse; esEsOrdering EQ EQ = MyTrue; esEsOrdering EQ GT = MyFalse; esEsOrdering GT LT = MyFalse; esEsOrdering GT EQ = MyFalse; esEsOrdering GT GT = MyTrue; not :: MyBool -> MyBool; not MyTrue = MyFalse; not MyFalse = MyTrue; fsEsOrdering :: Ordering -> Ordering -> MyBool fsEsOrdering x y = not (esEsOrdering x y); gtEsMyInt :: MyInt -> MyInt -> MyBool gtEsMyInt x y = fsEsOrdering (compareMyInt x y) LT; flip :: (a -> b -> c) -> b -> a -> c; flip f x y = f y x; ltEsMyInt :: MyInt -> MyInt -> MyBool ltEsMyInt x y = fsEsOrdering (compareMyInt x y) GT; numericEnumFromThenToP0 vz wu wv MyTrue = flip gtEsMyInt vz; otherwise :: MyBool; otherwise = MyTrue; numericEnumFromThenToP1 vz wu wv MyTrue = flip ltEsMyInt vz; numericEnumFromThenToP1 vz wu wv MyFalse = numericEnumFromThenToP0 vz wu wv otherwise; numericEnumFromThenToP2 vz wu wv = numericEnumFromThenToP1 vz wu wv (gtEsMyInt wu wv); numericEnumFromThenToP vz wu wv = numericEnumFromThenToP2 vz wu wv; takeWhile0 p x xs MyTrue = Nil; takeWhile1 p x xs MyTrue = Cons x (takeWhile p xs); takeWhile1 p x xs MyFalse = takeWhile0 p x xs otherwise; takeWhile2 p (Cons x xs) = takeWhile1 p x xs (p x); takeWhile3 p Nil = Nil; takeWhile3 vx vy = takeWhile2 vx vy; takeWhile :: (a -> MyBool) -> (List a) -> (List a); takeWhile p Nil = takeWhile3 p Nil; takeWhile p (Cons x xs) = takeWhile2 p (Cons x xs); numericEnumFromThenTo n n' m = takeWhile (numericEnumFromThenToP m n' n) (numericEnumFromThen n n'); enumFromThenToMyInt :: MyInt -> MyInt -> MyInt -> (List MyInt) enumFromThenToMyInt = numericEnumFromThenTo; primCharToInt :: Char -> MyInt; primCharToInt (Char x) = x; fromEnumChar :: Char -> MyInt fromEnumChar = primCharToInt; map :: (a -> b) -> (List a) -> (List b); map f Nil = Nil; map f (Cons x xs) = Cons (f x) (map f xs); primIntToChar :: MyInt -> Char; primIntToChar x = Char x; toEnumChar :: MyInt -> Char toEnumChar = primIntToChar; enumFromThenToChar :: Char -> Char -> Char -> (List Char) enumFromThenToChar x y z = map toEnumChar (enumFromThenToMyInt (fromEnumChar x) (fromEnumChar y) (fromEnumChar z));