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(.module:
  [library
   [lux #*
    ["_" test (#+ Test)]
    [abstract
     [monad (#+ do)]
     [\\specification
      ["$." functor (#+ Injection Comparison)]
      ["$." apply]
      ["$." monad]
      ["$." equivalence]]]
    [control
     pipe
     ["." io]]
    [data
     ["." text ("#\." equivalence)]]
    [math
     ["." random (#+ Random)]
     [number
      ["n" nat]]]]]
  [\\library
   ["." / (#+ Try)]])

(def: injection
  (Injection Try)
  (|>> #/.Success))

(def: comparison
  (Comparison Try)
  (function (_ ==)
    (\ (/.equivalence ==) =)))

(def: .public (attempt element)
  (All [a] (-> (Random a) (Random (Try a))))
  ($_ random.or
      (random.unicode 1)
      element))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.Try])
      (do random.monad
        [expected random.nat
         alternative (|> random.nat (random.only (|>> (n.= expected) not)))
         error (random.unicode 1)
         .let [(^open "io\.") io.monad]])
      ($_ _.and
          (_.for [/.equivalence]
                 ($equivalence.spec (/.equivalence n.equivalence) (..attempt random.nat)))
          (_.for [/.functor]
                 ($functor.spec ..injection ..comparison /.functor))
          (_.for [/.apply]
                 ($apply.spec ..injection ..comparison /.apply))
          (_.for [/.monad]
                 ($monad.spec ..injection ..comparison /.monad))

          (_.cover [/.trusted]
                   (n.= expected
                        (/.trusted (#/.Success expected))))
          (_.cover [/.of_maybe]
                   (case [(/.of_maybe (#.Some expected))
                          (/.of_maybe #.None)]
                     [(#/.Success actual) (#/.Failure _)]
                     (n.= expected actual)

                     _
                     false))
          (_.cover [/.maybe]
                   (case [(/.maybe (#/.Success expected))
                          (/.maybe (: (/.Try Nat) (#/.Failure error)))]
                     [(#.Some actual) #.None]
                     (n.= expected actual)

                     _
                     false))
          (_.cover [/.else]
                   (and (n.= expected
                             (/.else alternative (#/.Success expected)))
                        (n.= alternative
                             (/.else alternative (: (Try Nat) (#/.Failure error))))))
          (_.cover [/.with /.lifted]
                   (let [lifted (/.lifted io.monad)]
                     (|> (do (/.with io.monad)
                           [a (lifted (io\in expected))
                            b (in alternative)]
                           (in (n.+ a b)))
                         io.run!
                         (case> (#/.Success result)
                                (n.= (n.+ expected alternative)
                                     result)

                                _
                                false))))
          )))