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(.module:
[library
[lux #*
[abstract
[equivalence (#+ Equivalence)]
[hash (#+ Hash)]]]])
(template [<right?> <name>]
[(def: .public (<name> value)
(All (_ left right)
(-> <name> (Or left right)))
(0 <right?> value))]
[#0 left]
[#1 right])
(def: .public (either on_left on_right)
(All (_ a b c)
(-> (-> a c) (-> b c)
(-> (Or a b) c)))
(function (_ input)
(case input
(0 #0 l) (on_left l)
(0 #1 r) (on_right r))))
(def: .public (then on_left on_right)
(All (_ l l' r r')
(-> (-> l l') (-> r r')
(-> (Or l r) (Or l' r'))))
(function (_ input)
(case input
(0 #0 l) (0 #0 (on_left l))
(0 #1 r) (0 #1 (on_right r)))))
(template [<name> <side> <right?>]
[(def: .public (<name> items)
(All (_ a b) (-> (List (Or a b)) (List <side>)))
(case items
#.End
#.End
(#.Item (0 <right?> x) items')
(#.Item [x (<name> items')])
(#.Item _ items')
(<name> items')))]
[lefts a #0]
[rights b #1]
)
(def: .public (partition xs)
(All (_ a b) (-> (List (Or a b)) [(List a) (List b)]))
(case xs
#.End
[#.End #.End]
(#.Item x xs')
(let [[lefts rights] (partition xs')]
(case x
(0 #0 x') [(#.Item x' lefts) rights]
(0 #1 x') [lefts (#.Item x' rights)]))))
(def: .public (equivalence left right)
(All (_ l r) (-> (Equivalence l) (Equivalence r) (Equivalence (Or l r))))
(implementation
(def: (= reference sample)
(case [reference sample]
[(#.Left reference) (#.Left sample)]
(\ left = reference sample)
[(#.Right reference) (#.Right sample)]
(\ right = reference sample)
_
false))))
(def: .public (hash left right)
(All (_ l r) (-> (Hash l) (Hash r) (Hash (Or l r))))
(implementation
(def: &equivalence
(..equivalence (\ left &equivalence)
(\ right &equivalence)))
(def: (hash value)
(case value
(#.Left value)
(\ left hash value)
(#.Right value)
(\ right hash value)))))
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