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(.module:
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
{[0 #spec]
[/
[functor
["$." contravariant]]]}]
[data
[number
["n" nat]
["i" int]]]
[math
["." random (#+ Random)]]]
{1
["." /]})
(def: #export test
Test
(do random.monad
[left random.int
right random.nat]
(<| (_.covering /._)
($_ _.and
(_.cover [/.sum]
(let [hash (/.sum i.hash n.hash)]
(and (n.= (\ i.hash hash left)
(\ hash hash (#.Left left)))
(n.= (\ n.hash hash right)
(\ hash hash (#.Right right))))))
(_.cover [/.product]
(let [hash (/.product i.hash n.hash)]
(n.= (n.+ (\ i.hash hash left)
(\ n.hash hash right))
(\ hash hash [left right]))))
))))
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