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(.module:
lux
(lux (control [monoid #+ Monoid]
[equivalence #+ Equivalence]
hash
[codec #+ Codec])
function))
## [Structures]
(structure: #export _ (Equivalence Bool)
(def: (= x y)
(if x
y
(not y))))
(structure: #export _ (Hash Bool)
(def: eq Equivalence<Bool>)
(def: (hash value)
(case value
true +1
false +0)))
(do-template [<name> <identity> <op>]
[(structure: #export <name> (Monoid Bool)
(def: identity <identity>)
(def: (compose x y)
(<op> x y)))]
[ Or@Monoid<Bool> false or]
[And@Monoid<Bool> true and]
)
(structure: #export _ (Codec Text Bool)
(def: (encode x)
(if x
"true"
"false"))
(def: (decode input)
(case input
"true" (#.Right true)
"false" (#.Right false)
_ (#.Left "Wrong syntax for Bool."))))
## [Values]
(def: #export complement
{#.doc "Generates the complement of a predicate.
That is a predicate that returns the oposite of the original predicate."}
(All [a] (-> (-> a Bool) (-> a Bool)))
(compose not))
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