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(.module:
  [library
   [lux "*"
    ["_" test {"+" Test}]
    [abstract
     [monad {"+" do}]
     [\\specification
      ["$[0]" equivalence]
      ["$[0]" order]
      ["$[0]" enum]
      ["$[0]" codec]]]
    [control
     ["[0]" function]
     ["[0]" try]
     ["[0]" io]]
    [data
     [collection
      ["[0]" list ("[1]#[0]" mix)]]]
    [math
     ["[0]" random]]
    [time
     ["[0]" duration {"+" Duration}]
     ["[0]" day {"+" Day} ("[1]#[0]" enum)]]]]
  [\\library
   ["[0]" /]])

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.Instant])
      ($_ _.and
          (_.for [/.equivalence]
                 ($equivalence.spec /.equivalence random.instant))
          (_.for [/.order]
                 ($order.spec /.order random.instant))
          (_.for [/.enum]
                 ($enum.spec /.enum random.instant))
          (_.for [/.codec]
                 ($codec.spec /.equivalence /.codec random.instant))

          (do random.monad
            [.let [(^open "#[0]") /.equivalence]
             expected random.instant]
            ($_ _.and
                (_.cover [/.millis /.of_millis]
                         (|> expected /.millis /.of_millis (#= expected)))
                (_.cover [/.relative /.absolute]
                         (|> expected /.relative /.absolute (#= expected)))
                (_.cover [/.date /.time /.of_date_time]
                         (#= expected
                             (/.of_date_time (/.date expected)
                                             (/.time expected))))
                ))
          (do random.monad
            [.let [(^open "#[0]") /.equivalence
                   (^open "duration#[0]") duration.equivalence]
             from random.instant
             to random.instant]
            ($_ _.and
                (_.cover [/.span]
                         (|> from (/.span from) (duration#= duration.empty)))
                (_.cover [/.after]
                         (|> from (/.after (/.span from to)) (#= to)))
                (_.cover [/.epoch]
                         (duration#= (/.relative to)
                                     (/.span /.epoch to)))
                ))
          (do random.monad
            [instant random.instant
             .let [d0 (/.day_of_week instant)]]
            (_.cover [/.day_of_week]
                     (let [apply (: (-> (-> Duration Duration) (-> Day Day) Nat Bit)
                                    (function (_ polarity move steps)
                                      (let [day_shift (list#mix (function.constant move)
                                                                d0
                                                                (list.repeated steps []))
                                            instant_shift (|> instant
                                                              (/.after (polarity (duration.up steps duration.day)))
                                                              /.day_of_week)]
                                        (day#= day_shift
                                               instant_shift))))]
                       (and (apply function.identity day#succ 0)
                            (apply function.identity day#succ 1)
                            (apply function.identity day#succ 2)
                            (apply function.identity day#succ 3)
                            (apply function.identity day#succ 4)
                            (apply function.identity day#succ 5)
                            (apply function.identity day#succ 6)
                            (apply function.identity day#succ 7)

                            (apply duration.inverse day#pred 0)
                            (apply duration.inverse day#pred 1)
                            (apply duration.inverse day#pred 2)
                            (apply duration.inverse day#pred 3)
                            (apply duration.inverse day#pred 4)
                            (apply duration.inverse day#pred 5)
                            (apply duration.inverse day#pred 6)
                            (apply duration.inverse day#pred 7)))))
          (_.cover [/.now]
                   (case (try (io.run! /.now))
                     {try.#Success _}
                     true
                     
                     {try.#Failure _}
                     false))
          )))