a10

diff --git a/.gitignore b/.gitignore
index 6938473..16286dc 100644 (file)
--- a/.gitignore
+++ b/.gitignore
@@ -10,3 +10,4 @@ getopt
 test
 gopt
 afp/a[0-9]/a[0-9]
+afp/a1[0-9]/a1[0-9]

diff --git a/afp/a10/a10.icl b/afp/a10/a10.icl
new file mode 100644 (file)
index 0000000..d96183c
--- /dev/null
+++ b/afp/a10/a10.icl
@@ -0,0 +1,174 @@
+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]                             & 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 _) = fail "Type mismatch in read"
+       Nothing = fail "No variable with that identifier"
+
+fail :: String -> Sem a
+fail s = liftT (Left s)
+
+eval :: (Expr e) -> Sem e
+eval (New {f2} s)          = f2 $ pure 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")

diff --git a/afp/a7/a7.icl b/afp/a7/a7.icl
index e3442ab..b3d3c88 100644 (file)
--- a/afp/a7/a7.icl
+++ b/afp/a7/a7.icl
@@ -64,18 +64,18 @@ getGram n = Parse \s->('Map'.get n s.store, s)
 
 parse :: Gram -> Parse TREE
 parse (Lit s) = LIT <$> ((==)s) ? next
-parse Idn = IDN <$> next
+parse Idn = IDN <$> (\s->isAlpha s.[0]) ? next
 parse Int = INT o toInt <$> (\s->toString (toInt s) == s) ? next
 parse (Seq gs) = SEQ <$> sequence (map parse gs)
 parse (Alt as) = foldr (<|>) empty (map parse as)
 parse (Def n g1 g2) = setGram n g1 *> parse g2
-parse (Var n) = join (parse <$> getGram n)
+parse (Var n) = getGram n >>= parse
 parse _ = empty
 
 run :: Gram [String] -> Maybe TREE
 run g t = fst (runParse (parse g) {store='Map'.newMap,input=t})
 
-Start = (run listIntGram listIntInput, run arithGram arithInput)
+Start = (evalList <$> run listIntGram listIntInput, evalArith <$> run arithGram arithInput)
 where
        listIntInput = ["mylist","=","[","7",":","[","42",":","[]","]","]"]
        arithInput = ["12","*","2","+","4","*","3","*","2","-","6"]
@@ -90,3 +90,19 @@ arithGram
        = Def "fac" (Alt [Seq [Int, Lit "*", Var "fac"], Int])
        $ Def "exp" (Alt [Seq [Var "fac", Lit "+", Var "exp"], Var "fac"])
        $ Var "exp"
+
+evalList :: TREE -> Maybe [Int]
+evalList (LIT "[]") = Just []
+evalList (SEQ [LIT "[", INT i, LIT ":", r, LIT "]"]) = evalList r >>= \r->pure [i:r]
+evalList (SEQ [IDN _, LIT "=", l]) = evalList l
+evalList _ = Nothing
+
+evalArith :: TREE -> Maybe Int
+evalArith (INT i) = Just i
+evalArith (SEQ [a, LIT op, b]) = toOp op <*> evalArith a <*> evalArith b
+where
+       toOp :: String -> Maybe (Int Int -> Int)
+       toOp "+" = Just (+)
+       toOp "*" = Just (*)
+       toOp _ = Nothing
+evalArith _ = Nothing