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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\specification
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / (#+ Reader)
[//
["." io (#+ IO)]]]])
(def: (injection value)
(Injection (All [a r] (Reader r a)))
(function (_ env)
value))
(def: comparison
(Comparison (All [a r] (Reader r a)))
(function (_ == left right)
(== (/.result [] left) (/.result [] right))))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Reader])
(do random.monad
[sample random.nat
factor random.nat]
($_ _.and
(_.for [/.functor]
($functor.spec ..injection ..comparison /.functor))
(_.for [/.apply]
($apply.spec ..injection ..comparison /.apply))
(_.for [/.monad]
($monad.spec ..injection ..comparison /.monad))
(_.cover [/.result /.read]
(n.= sample
(/.result sample /.read)))
(_.cover [/.local]
(n.= (n.* factor sample)
(/.result sample (/.local (n.* factor) /.read))))
(let [(^open "io\.") io.monad]
(_.cover [/.with /.lift]
(|> (: (/.Reader Any (IO Nat))
(do (/.with io.monad)
[a (/.lift (io\in sample))
b (in factor)]
(in (n.* b a))))
(/.result [])
io.run!
(n.= (n.* factor sample)))))))))
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