From 61948c672d3a98027383e4bcc6b95d2db492f974 Mon Sep 17 00:00:00 2001
From: Mart Lubbers
Date: Tue, 3 Mar 2015 12:09:15 +0100
Subject: StdSet werkend

---
 week4/mart/StdSet.icl | 56 +++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 56 insertions(+)
 create mode 100644 week4/mart/StdSet.icl

(limited to 'week4/mart/StdSet.icl')

diff --git a/week4/mart/StdSet.icl b/week4/mart/StdSet.icl
new file mode 100644
index 0000000..a14e6ba
--- /dev/null
+++ b/week4/mart/StdSet.icl
@@ -0,0 +1,56 @@
+implementation module StdSet
+
+import StdEnv
+import StdClass
+
+::	Set a = Set [a]
+
+toSet	:: [a]             -> Set a | Eq a
+toSet s = Set (removeDup s)
+
+fromSet	:: (Set a)         -> [a]
+fromSet (Set s) = s
+
+isEmptySet	:: (Set a)         -> Bool
+isEmptySet s = isEmpty (fromSet s)
+
+isDisjoint	:: (Set a) (Set a) -> Bool  | Eq a
+isDisjoint s1 s2 = nrOfElements (intersection s1 s2) == 0
+
+isSubset	:: (Set a) (Set a) -> Bool  | Eq a
+isSubset s1 s2 = nrOfElements s1 == nrOfElements (intersection s1 s2)
+
+isStrictSubset	:: (Set a) (Set a) -> Bool  | Eq a
+isStrictSubset s1 s2 = isSubset s1 s2 && nrOfElements s1 < nrOfElements s2
+
+memberOfSet	:: a       (Set a) -> Bool  | Eq a
+memberOfSet a (Set []) = False
+memberOfSet a (Set [x:xs]) = a == x || memberOfSet a (Set xs)
+
+union	:: (Set a) (Set a) -> Set a | Eq a
+union (Set s1) (Set s2) = toSet (s1 ++ s2)
+
+intersection	:: (Set a) (Set a) -> Set a | Eq a
+intersection (Set s1) s2 = Set [e \\ e <- s1 | memberOfSet e s2]
+
+nrOfElements	:: (Set a) -> Int
+nrOfElements s = length (fromSet s)
+
+without	:: (Set a) (Set a) -> Set a | Eq a
+without (Set s1) s2 = Set [e \\ e <- s1 | not (memberOfSet e s2)]
+
+product	:: (Set a) (Set b) -> Set (a,b)
+product (Set s1) (Set s2) = Set [(e1, e2) \\ e1 <- s1, e2 <- s2]
+
+instance zero (Set a)
+where zero = Set []
+
+instance == (Set a) | Eq a
+where (==) s1 s2 = isSubset s1 s2 && isSubset s2 s1
+
+powerSet	:: (Set a)         -> Set (Set a)
+powerSet (Set a) = Set [(Set x) \\ x <- powerSet2 a]
+where
+	powerSet2	:: [a] -> [[a]]
+	powerSet2 [] = [[]]
+	powerSet2 [e:xs] = (powerSet2 xs) ++ [[e:x] \\ x <- powerSet2 xs]
-- 
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