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|
(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\specification
[functor
["$." contravariant]]]]
[data
["." bit ("#\." equivalence)]]
[math
["." random (#+ Random)]
[number
["n" nat]
["i" int]]]]]
[\\library
["." / (#+ Equivalence)]])
(def: #export test
Test
(do random.monad
[leftN random.nat
rightN random.nat
leftI random.int
rightI random.int
sample random.nat
different (|> random.nat (random.filter (|>> (n.= sample) not)))
#let [equivalence (: (Equivalence (Equivalence Nat))
(implementation
(def: (= left right)
(and (bit\= (\ left = leftN leftN)
(\ right = leftN leftN))
(bit\= (\ left = rightN rightN)
(\ right = rightN rightN))
(bit\= (\ left = leftN rightN)
(\ right = leftN rightN))))))]]
(<| (_.covering /._)
($_ _.and
(_.for [/.functor]
($contravariant.spec equivalence n.equivalence /.functor))
(_.cover [/.rec]
(let [equivalence (: (Equivalence (List Nat))
(/.rec (function (_ equivalence)
(implementation
(def: (= left right)
(case [left right]
[#.Nil #.Nil]
true
[(#.Cons leftH lefT) (#.Cons rightH rightT)]
(and (n.= leftH rightH)
(\ equivalence = lefT rightT))
_
false))))))]
(and (\ equivalence = (list sample sample) (list sample sample))
(not (\ equivalence = (list sample sample) (list sample)))
(not (\ equivalence = (list sample sample) (list different different))))))
))))
|
