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(.using
 [library
  [lux "*"
   ["_" test {"+" Test}]
   [abstract
    [monad {"+" do}]
    [\\specification
     ["$[0]" functor {"+" Injection Comparison}]
     ["$[0]" apply]
     ["$[0]" monad]
     ["$[0]" equivalence]]]
   [control
    ["[0]" pipe]
    ["[0]" io]]
   [data
    ["[0]" text ("[1]#[0]" equivalence)]]
   [math
    ["[0]" random {"+" Random}]
    [number
     ["n" nat]]]]]
 [\\library
  ["[0]" / {"+" Try}]])

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

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

(def: .public (attempt element)
  (All (_ a) (-> (Random a) (Random (Try a))))
  (all 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#[0]") io.monad]])
      (all _.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 (is (/.Try Nat) {/.#Failure error}))]
                      [{.#Some actual} {.#None}]
                      (n.= expected actual)

                      _
                      false))
           (_.cover [/.else]
                    (and (n.= expected
                              (/.else alternative {/.#Success expected}))
                         (n.= alternative
                              (/.else alternative (is (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!
                          (pipe.case
                            {/.#Success result}
                            (n.= (n.+ expected alternative)
                                 result)

                            _
                            false))))
           )))