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(.module:
lux
(lux (control [eq #+ Eq]
[hash #*])
(data (coll [dict]
[list "List/" Fold<List> Functor<List>]))))
## [Types]
(type: #export (Set a)
(dict.Dict a a))
## [Values]
(def: #export (new Hash<a>)
(All [a] (-> (Hash a) (Set a)))
(dict.new Hash<a>))
(def: #export (add elem set)
(All [a] (-> a (Set a) (Set a)))
(dict.put elem elem set))
(def: #export (remove elem set)
(All [a] (-> a (Set a) (Set a)))
(dict.remove elem set))
(def: #export (member? set elem)
(All [a] (-> (Set a) a Bool))
(dict.contains? elem set))
(def: #export to-list
(All [a] (-> (Set a) (List a)))
dict.keys)
(def: #export (from-list Hash<a> xs)
(All [a] (-> (Hash a) (List a) (Set a)))
(List/fold add (new Hash<a>) xs))
(def: #export (union xs yx)
(All [a] (-> (Set a) (Set a) (Set a)))
(dict.merge xs yx))
(def: #export (difference sub base)
(All [a] (-> (Set a) (Set a) (Set a)))
(List/fold remove base (to-list sub)))
(def: #export (intersection filter base)
(All [a] (-> (Set a) (Set a) (Set a)))
(dict.select (dict.keys filter) base))
(def: #export (size set)
(All [a] (-> (Set a) Nat))
(dict.size set))
(def: #export (empty? set)
(All [a] (-> (Set a) Bool))
(n/= +0 (dict.size set)))
(def: #export (sub? super sub)
(All [a] (-> (Set a) (Set a) Bool))
(list.every? (member? super) (to-list sub)))
(def: #export (super? sub super)
(All [a] (-> (Set a) (Set a) Bool))
(sub? super sub))
## [Structures]
(struct: #export Eq<Set> (All [a] (Eq (Set a)))
(def: (= (^@ test [Hash<a> _]) subject)
(:: (list.Eq<List> (get@ #hash.eq Hash<a>)) = (to-list test) (to-list subject))))
(struct: #export Hash<Set> (All [a] (Hash (Set a)))
(def: eq Eq<Set>)
(def: (hash (^@ set [Hash<a> _]))
(List/fold (function (_ elem acc) (n/+ (:: Hash<a> hash elem) acc))
+0
(to-list set))))
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