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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\specification
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]
["$." equivalence]]]
[data
["." product]]
[math
["." random (#+ Random)]
[number
["n" nat]]]]]
[\\library
["." / (#+ Lazy)]])
(def: injection
(Injection Lazy)
(|>> /.lazy))
(def: comparison
(Comparison Lazy)
(function (_ ==)
(\ (/.equivalence ==) =)))
(def: .public lazy
(All [a] (-> (Random a) (Random (Lazy a))))
(\ random.functor each (|>> /.lazy)))
(def: .public test
Test
(with_expansions [<eager> (: [Nat Nat]
[(n.+ left right)
(n.* left right)])]
(<| (_.covering /._)
(do random.monad
[left random.nat
right random.nat
.let [expected <eager>]]
(_.for [/.Lazy]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence) (..lazy random.nat)))
(_.for [/.functor]
($functor.spec ..injection ..comparison /.functor))
(_.for [/.apply]
($apply.spec ..injection ..comparison /.apply))
(_.for [/.monad]
($monad.spec ..injection ..comparison /.monad))
(_.cover [/.lazy]
(let [lazy (/.lazy <eager>)
(^open "\=") (product.equivalence n.equivalence n.equivalence)]
(\= expected
(/.value lazy))))
(_.cover [/.value]
(let [lazy (/.lazy <eager>)]
(and (not (same? expected
(/.value lazy)))
(same? (/.value lazy)
(/.value lazy)))))
))))))
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