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(.module:
[lux #*
["_" test (#+ Test)]
[abstract
[equivalence (#+ Equivalence)]
[monoid (#+ Monoid)]
[monad (#+ do)]
{[0 #spec]
[/
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]]}]
[control
["." io]]
[data
["." product]
["." text ("#\." equivalence)]]
[math
["." random]
[number
["n" nat]]]]
{1
["." / (#+ Writer)]})
(def: (injection monoid value)
(All [w] (-> (Monoid w) (Injection (Writer w))))
[(\ monoid identity) value])
(def: comparison
(All [w] (Comparison (Writer w)))
(function (_ == [_ left] [_ right])
(== left right)))
(def: #export test
Test
(do random.monad
[log (random.ascii 1)
left random.nat
right random.nat]
(<| (_.covering /._)
(_.for [/.Writer])
($_ _.and
(_.for [/.functor]
($functor.spec (..injection text.monoid) ..comparison /.functor))
(_.for [/.apply]
($apply.spec (..injection text.monoid) ..comparison (/.apply text.monoid)))
(_.for [/.monad]
($monad.spec (..injection text.monoid) ..comparison (/.monad text.monoid)))
(_.cover [/.write]
(text\= log
(product.left (/.write log))))
(_.cover [/.with /.lift]
(let [lift (/.lift text.monoid io.monad)
(^open "io\.") io.monad]
(|> (io.run (do (/.with text.monoid io.monad)
[a (lift (io\wrap left))
b (wrap right)]
(wrap (n.+ a b))))
product.right
(n.= (n.+ left right)))))
))))
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