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(.module:
  [library
   [lux #*
    ["_" test (#+ Test)]
    [abstract
     [monad (#+ do)]]
    [control
     ["." io (#+ IO)]
     [concurrency
      ["." async]]]
    [math
     ["." random]
     [number
      ["n" nat]]]]]
  [\\library
   ["." /]])

(/.capability: (Can_Shift a)
  (can_shift [a Nat] [a Nat]))

(/.capability: Can_IO
  (can_io [] (IO Nat)))

(def: #export test
  Test
  (<| (_.covering /._)
      (do random.monad
        [shift random.nat
         base random.nat
         #let [expected (n.+ shift base)]
         pass_through (random.ascii 1)]
        (_.for [/.Capability]
               ($_ _.and
                   (_.cover [/.capability: /.use]
                            (let [capability (..can_shift (function (_ [no_op raw])
                                                            [no_op (n.+ shift raw)]))
                                  [untouched actual] (/.use capability [pass_through base])]
                              (and (is? pass_through untouched)
                                   (n.= expected actual))))
                   (in (let [capability (..can_io (function (_ _) (io.io expected)))]
                         (do async.monad
                           [actual (/.use (/.async capability) [])]
                           (_.cover' [/.async]
                                     (n.= expected actual)))))
                   )))))