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(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]
[\\specification
["$[0]" equivalence]
["$[0]" hash]
["$[0]" monoid]
["$[0]" functor]
["$[0]" apply]
["$[0]" monad]]]
[control
["[0]" io ("[1]\[0]" monad)]
pipe]
[data
["[0]" text]
[collection
["[0]" list]]]
[math
["[0]" random {"+" [Random]}]
[number
["n" nat]]]]]
[\\library
["[0]" / ("[1]\[0]" monoid monad)]])
(def: .public test
Test
(<| (_.covering /._)
(_.for [.Maybe])
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence) (random.maybe random.nat)))
(_.for [/.hash]
(|> random.nat
(\ random.monad each (|>> #.Some))
($hash.spec (/.hash n.hash))))
(_.for [/.monoid]
($monoid.spec (/.equivalence n.equivalence) /.monoid (random.maybe random.nat)))
(_.for [/.functor]
($functor.spec /\in /.equivalence /.functor))
(_.for [/.apply]
($apply.spec /\in /.equivalence /.apply))
(_.for [/.monad]
($monad.spec /\in /.equivalence /.monad))
(do random.monad
[left random.nat
right random.nat
.let [expected (n.+ left right)]]
(let [lifted (/.lifted io.monad)]
(_.cover [/.with /.lifted]
(|> (io.run! (do (/.with io.monad)
[a (lifted (io\in left))
b (in right)]
(in (n.+ a b))))
(case> (#.Some actual)
(n.= expected actual)
_
false)))))
(do random.monad
[default random.nat
value random.nat]
(_.cover [/.else]
(and (same? default (/.else default
#.None))
(same? value (/.else default
(#.Some value))))))
(do random.monad
[value random.nat]
(_.cover [/.trusted]
(same? value (/.trusted (#.Some value)))))
(do random.monad
[value random.nat]
(_.cover [/.list]
(\ (list.equivalence n.equivalence) =
(list value)
(/.list (#.Some value)))))
(do random.monad
[expected random.nat
.let [(^open "/\[0]") (/.equivalence n.equivalence)]]
(_.cover [/.when]
(and (/\= (#.Some expected) (/.when true (#.Some expected)))
(/\= #.None (/.when false (#.Some expected))))))
)))
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