+++ /dev/null
-module a10
-
-/*
- 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.List
-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
-
-:: BM a b = { t :: a -> b, f :: b -> a, t2 :: A.t: (t a) -> (t b), f2 :: A.t: (t b) -> (t a)}
-
-bm :: BM a a
-bm = {t = id, f = id, t2 = id, f2 = id}
-
-:: Expr a
- = E.e: New (BM a [e]) [e] & Eq, Ord, toString e
- | E.e: Lit (BM a e) e & toString e
- | E.e: Variable (BM a e) Ident & TC e
- | E.e: Size (BM a Int) (Expr [e]) & toString e
- | E.e: Plus (BM a e) (Expr e) (Expr e) & + e
- | E.e: Minus (BM a e) (Expr e) (Expr e) & - e
- | E.e: Times (BM a e) (Expr e) (Expr e) & * e
- | E.e: Union (BM a [e]) (Expr [e]) (Expr [e]) & Eq, Ord e
- | E.e: Difference (BM a [e]) (Expr [e]) (Expr [e]) & Eq, Ord e
- | E.e: Intersect (BM a [e]) (Expr [e]) (Expr [e]) & Eq, Ord e
- | E.e: Remove (BM a [e]) (Expr e) (Expr [e]) & Eq e
- | E.e: Insert (BM a [e]) (Expr e) (Expr [e]) & Eq e
- | E.e: Scale (BM a [e]) (Expr e) (Expr [e]) & * e
- | E.e: Assign (BM a e) Ident (Expr e) & TC e
- | Not (BM a Bool) (Expr Bool)
- | And (BM a Bool) (Expr Bool)(Expr Bool)
- | Or (BM a Bool) (Expr Bool)(Expr Bool)
- | E.e: ElemOf (BM a Bool) (Expr e) (Expr [e]) & Eq e
- | E.e: Equals (BM a Bool) (Expr e) (Expr e) & Eq e
- | E.e: LesEquals (BM a Bool) (Expr e) (Expr e) & Ord e
- | E.e: Expr (BM a ()) (Expr e)
- | E.e: For (BM a ()) String (Expr [e]) (Expr ()) & TC e
- | E.e: If (BM a ()) (Expr Bool) (Expr ()) (Expr ())
- | Seq (BM a ()) (Expr ()) (Expr ())
-
-// === Smart constructors
-new e = New bm e
-lit e = Lit bm e
-var e = Variable bm e
-size e = Size bm e
-(+.) infixl 6
-(+.) a b = Plus bm a b
-(-.) infixl 6
-(-.) a b = Minus bm a b
-(*.) infixl 6
-(*.) a b = Times bm a b
-union a b = Union bm a b
-difference a b = Difference bm a b
-intersect a b = Intersect bm a b
-remove a b = Remove bm a b
-insert a b = Insert bm a b
-scale a b = Scale bm a b
-(=.) infixl 2
-(=.) a b = Assign bm a b
-instance ~ (Expr Bool) where ~ a = Not bm a
-(&&.) infixr 2
-(&&.) a b = And bm a b
-(||.) infixr 2
-(||.) a b = Or bm a b
-(In) infix 4
-(In) a b = ElemOf bm a b
-(==.) infix 4
-(==.) a b = Equals bm a b
-(<=.) infix 4
-(<=.) a b = LesEquals bm a b
-expr a = Expr bm a
-for a b c = For bm a b c
-iff a b c = If bm a b c
-(:.) infixl 1
-(:.) a b = Seq bm a b
-
-:: Ident :== String
-
-// === State
-:: Val :== Either Int [Int]
-:: SemState :== 'Map'.Map String Dynamic
-:: Sem a :== StateT SemState (Either String) a
-
-store :: Ident a -> Sem a | TC a
-store k v = modify ('Map'.put k (dynamic v)) *> pure v
-
-read :: Ident -> Sem a | TC a
-read k = gets ('Map'.get k) >>= \v->case v of
- (Just (a :: a^)) = pure a
- (Just a) = fail
- ( "Type mismatch... expected: "
- +++ toString (undef :: a^)
- +++ " got: "
- +++ printType a
- )
- Nothing = fail ("No variable with ident " +++ k)
-where
- printType :: Dynamic -> String
- printType a = toString (typeCodeOfDynamic a)
-
-fail :: String -> Sem a
-fail s = liftT (Left s)
-
-eval :: (Expr e) -> Sem e
-eval (New {f,f2} s) = f2 $ pure ('List'.nub s)
-eval (Lit {f2} i) = f2 $ pure i
-eval (Variable {f2} i) = f2 $ read i
-eval (Size {f2} s) = f2 $ length <$> eval s
-eval (Plus {f2} a b) = f2 $ (+) <$> eval a <*> eval b
-eval (Minus {f2} a b) = f2 $ (-) <$> eval a <*> eval b
-eval (Times {f2} a b) = f2 $ (*) <$> eval a <*> eval b
-eval (Union {f2} a b) = f2 $ 'List'.union <$> eval a <*> eval b
-eval (Difference {f2} a b) = f2 $ 'List'.difference <$> eval a <*> eval b
-eval (Intersect {f2} a b) = f2 $ 'List'.intersect <$> eval a <*> eval b
-eval (Remove {f2} a b) = f2 $ 'List'.delete <$> eval a <*> eval b
-eval (Insert {f2} a b) = f2 $ 'List'.union <$> (pure <$> eval a) <*> eval b
-eval (Scale {f2} a b) = f2 $ (map o (*)) <$> eval a <*> eval b
-eval (Assign {f2} v b) = f2 $ eval b >>= store v
-eval (Not {f2} b) = f2 $ not <$> eval b
-eval (And {f2} b1 b2) = f2 $ (&&) <$> eval b1 <*> eval b2
-eval (Or {f2} b1 b2) = f2 $ (||) <$> eval b1 <*> eval b2
-eval (ElemOf {f2} e s) = f2 $ 'List'.elem <$> eval e <*> eval s
-eval (Equals {f2} e1 e2) = f2 $ (==) <$> eval e1 <*> eval e2
-eval (LesEquals {f2} e1 e2)= f2 $ (<=) <$> eval e2 <*> eval e2
-eval (Expr {f2} e) = f2 $ eval e *> pure ()
-eval (For {f2} i bag b) = f2 $ eval bag >>= foldr proc (pure ())
-where
- //Needed to convince the compiler that there is a TC of e
- proc :: e (Sem ()) -> Sem () | TC e
- proc e m = store i e *> eval b *> m
-eval (If {f2} p t e) = f2 $ eval p >>= \v->eval if v t e
-eval (Seq {f2} l r) = f2 $ eval l *> eval r *> pure ()
-
-print :: (Expr e) [String] -> [String]
-print (New _ s) c = ["[":'List'.intersperse "," $ map toString s] ++ ["]":c]
-print (Lit _ i) c = [toString i:c]
-print (Variable _ i) c = [i:c]
-print (Size _ s) c = ["size(":print s [")":c]]
-print (Plus _ a b) c = print a ["+":print b c]
-print (Minus _ a b) c = print a ["-":print b c]
-print (Times _ a b) c = print a ["*":print b c]
-print (Union _ a b) c = print a ["+":print b c]
-print (Difference _ a b) c = print a ["-":print b c]
-print (Intersect _ a b) c = print a ["*":print b c]
-print (Remove _ a b) c = print a ["-":print b c]
-print (Insert _ a b) c = print a ["+":print b c]
-print (Scale _ a b) c = print a ["*":print b c]
-print (Assign _ v b) c = [v,"=":print b c]
-print (Not _ b) c = ["not":print b c]
-print (And _ a b) c = print a ["&&":print b c]
-print (Or _ a b) c = print a ["||":print b c]
-print (ElemOf _ a b) c = print a ["in":print b c]
-print (Equals _ a b) c = print a ["==":print b c]
-print (LesEquals _ a b) c = print a ["<=":print b c]
-print (Expr _ e) c = print e c
-print (For _ i bag b) c = ["For",i,"in":print bag ["do":print b c]]
-print (If _ p t e) c = ["If":print p ["then":print t ["else":print e c]]]
-print (Seq _ l r) c = print l ["\n":print r c]
-
-Start :: (Either String (), String)
-Start =
- (evalStateT (eval stmt) 'Map'.newMap
- ,"\n" +++ 'Text'.join " " (print stmt [])
- )
-where
- stmt = expr ("x" =. new [42]) :. expr (lit 42 +. var "x")
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