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+module a8
+
+/*
+  Advanced Progrmming 2018, Assignment 8
+  Pieter Koopman, pieter@cs.ru.nl
+*/
+import StdEnv
+
+import iTasks => qualified return, >>=, >>|, sequence, forever, :: Set
+
+import Control.Applicative
+import Control.Monad
+import Control.Monad.State
+import Control.Monad.Trans
+import Data.Func
+import Data.Functor
+import Data.Either
+import Data.Maybe
+
+import Text => qualified join
+
+import qualified Data.List as List
+import qualified Data.Map as Map
+
+:: Expression
+  = New      [Int]
+  | Elem     Int
+  | Variable Ident
+  | Size     Set
+  | (+.) infixl 6 Expression Expression
+  | (-.) infixl 6 Expression Expression
+  | (*.) infixl 7 Expression Expression
+  | (=.) infixl 2 Ident Expression
+
+:: Logical
+  = TRUE | FALSE
+  | (In) infix 4 Elem Set
+  | (==.) infix 4 Expression Expression
+  | (<=.) infix 4 Expression Expression
+  | Not Logical
+  | (||.) infixr 2 Logical Logical
+  | (&&.) infixr 3 Logical Logical
+
+:: Stmt
+  = Expression Expression
+  | Logical Logical
+  | For Ident Set Stmt
+  | If Logical Stmt Stmt
+
+:: Set    :== Expression
+:: Elem   :== Expression
+:: Ident  :== String
+
+// === State
+:: Val :== Either Int [Int]
+:: SemState :== 'Map'.Map String Val
+
+:: Sem a :== StateT SemState (Either String) a
+store :: Ident Val -> Sem Val
+store k v = modify ('Map'.put k v) *> pure v
+
+read :: Ident -> Sem Val
+read k = gets ('Map'.get k) >>= maybe (fail "Unknown ident") pure
+
+fail :: String -> Sem a
+fail s = liftT (Left s)
+
+// === semantics
+isset :: (Sem Val) -> Sem [Int]
+isset s = s >>= either (\_->fail "Expected Set, got Elem") pure
+
+iselem :: (Sem Val) -> Sem Int
+iselem s = s >>= either pure (\_->fail "Expected Elem, got Set")
+
+evalExpr :: Expression -> Sem Val
+evalExpr (New s)      = pure $ Right s
+evalExpr (Elem i)     = pure $ Left i
+evalExpr (Variable i) = read i
+evalExpr (Size s)     = isset (evalExpr s) >>= pure o Left o length
+evalExpr (l +. r)     = evalExpr l >>= \x->evalExpr r >>= \y->case (x, y) of
+	(Left  x, Left  y) = pure $ Left (x + y)
+	(Left  x, Right y) = pure $ Right $ 'List'.union [x] y
+	(Right x, Left  y) = pure $ Right $ 'List'.union x [y]
+	(Right x, Right y) = pure $ Right $ 'List'.union x y
+evalExpr (l -. r)     = evalExpr l >>= \x->evalExpr r >>= \y->case (x, y) of
+	(Left  x, Left  y) = pure $ Left (x - y)
+	(Left  x, Right y) = fail "Elem -. Set is illegal"
+	(Right x, Left  y) = pure $ Right $ 'List'.intersect x [y]
+	(Right x, Right y) = pure $ Right $ 'List'.intersect x y
+evalExpr (l *. r)     = evalExpr l >>= \x->evalExpr r >>= \y->case (x, y) of
+	(Left  x, Left  y) = pure $ Left (x * y)
+	(Left  x, Right y) = pure $ Right [x*y\\y<-y]
+	(Right x, Left  y) = fail "Set *. Elem is illegal"
+	(Right x, Right y) = pure $ Right $ 'List'.intersect x y
+evalExpr (v =. b)    = evalExpr b >>= store v
+
+evalLogic :: Logical -> Sem Bool
+evalLogic TRUE        = pure True
+evalLogic FALSE       = pure False
+evalLogic (e In s)    = liftM2 'List'.elem (iselem (evalExpr e)) (isset (evalExpr s))
+evalLogic (e1 ==. e2) = liftM2 (===) (evalExpr e1) (evalExpr e2)
+evalLogic (e1 <=. e2) = evalExpr e1 >>= \x->evalExpr e2 >>= \y->case (x, y) of
+	(Left e1, Left e2) = pure $ e1 < e2
+	(Left e1, Right e2) = pure $ True
+	(Right e1, Left e2) = pure $ False
+	(Right e1, Right e2) = pure $ length e1 < length e2
+evalLogic (Not l)     = not <$> evalLogic l
+evalLogic (l1 ||. l2) = liftM2 (||) (evalLogic l1) (evalLogic l2)
+evalLogic (l1 &&. l2) = liftM2 (&&) (evalLogic l1) (evalLogic l2)
+
+evalStmt :: Stmt -> Sem ()
+evalStmt (Expression e) = evalExpr e >>| pure ()
+evalStmt (Logical l)    = evalLogic l >>| pure ()
+evalStmt (For i e s)    = (evalExpr e >>= store i) *> evalStmt s
+evalStmt (If l s1 s2)   = evalLogic l >>= \b->if b (evalStmt s1) (evalStmt s2)
+
+printExpr :: Expression [String] -> [String]
+printExpr (New s)      c = ["[":'List'.intersperse "," $ map toString s] ++ ["]":c]
+printExpr (Elem i)     c = [toString i:c]
+printExpr (Variable i) c = [i:c]
+printExpr (Size s)     c = ["size(":printExpr s [")":c]]
+printExpr (l +. r)     c = ["(":printExpr l ["+.":printExpr r [")":c]]]
+printExpr (l -. r)     c = ["(":printExpr l ["-.":printExpr r [")":c]]]
+printExpr (l *. r)     c = ["(":printExpr l ["*.":printExpr r [")":c]]]
+printExpr (l =. r)     c = [l,"=.":printExpr r c]
+
+printLogic :: Logical [String] -> [String]
+printLogic TRUE        c = ["True":c]
+printLogic FALSE       c = ["False":c]
+printLogic (e In s)    c = printExpr e [" in ":printExpr s c]
+printLogic (e1 ==. e2) c = ["(":printExpr e1 ["==.":printExpr e2 [")":c]]]
+printLogic (e1 <=. e2) c = ["(":printExpr e1 ["<=.":printExpr e2 [")":c]]]
+printLogic (Not l)     c = ["not (":printLogic l [")":c]]
+printLogic (l1 ||. l2) c = ["(":printLogic l1 ["||.":printLogic l2 [")":c]]]
+printLogic (l1 &&. l2) c = ["(":printLogic l1 ["&&.":printLogic l2 [")":c]]]
+
+printStmt :: Stmt [String] -> [String]
+printStmt (Expression e) c = printExpr e c
+printStmt (Logical l)    c = printLogic l c
+printStmt (For i e s)    c = ["For ",i,"=":printExpr e ["in":printStmt s ["Rof":c]]]
+printStmt (If l s1 s2)   c = ["If":printLogic l ["then":printStmt s1 ["else":printStmt s2 ["Fi":c]]]]
+
+// === simulation
+stateShared :: Shared SemState
+stateShared = sharedStore "sharedSemState" 'Map'.newMap
+
+derive class iTask Expression, Logical, Stmt
+
+main :: Task SemState
+main = 'iTasks'.forever $
+	    enterInformation "Enter a statement" []
+	-|| viewSharedInformation "Old state" [ViewAs printState] stateShared
+	>&^ viewSharedInformation "Print" [ViewAs viewer]
+	>&> viewSharedInformation "New state" [ViewAs $ fmap printState] o mapRead evaler o ((>*<) stateShared)
+	>>* [OnAction (Action "Execute") $ ifValue (\e->e=:(Right _)) $ \(Right s)->set s stateShared]
+where
+	viewer = maybe
+		"No expression selected"
+		('Text'.join " " o flip printStmt [])
+	evaler (s, t) = maybe
+		(Left "No expression selected")
+		(\e->execStateT (evalStmt e) s) t
+	printState m = [k +++ "=" +++ toSingleLineText v\\(k,v)<-'Map'.toList m]
+
+Start w = doTasks main w