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