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(.module:
  [library
   [lux #*
    ["_" test (#+ Test)]
    [abstract
     [monad (#+ do)]
     [\\specification
      ["$." equivalence]]]
    [control
     ["." maybe ("#\." monad)]]
    [data
     ["." bit ("#\." equivalence)]
     ["." text]
     [collection
      ["." set]
      ["." list]]]
    [math
     ["." random (#+ Random)]
     [number
      ["n" nat]]]]]
  [\\library
   ["." /]])

(def: .public (random size gen_key gen_value)
  (All [v]
    (-> Nat (Random Text) (Random v) (Random (/.PList v))))
  (do random.monad
    [keys (random.set text.hash size gen_key)
     values (random.list size gen_value)]
    (in (list.zipped/2 (set.list keys) values))))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.PList])
      (do {! random.monad}
        [.let [gen_key (random.ascii/alpha 10)]
         size (\ ! each (n.% 100) random.nat)
         sample (..random size gen_key random.nat)

         .let [keys (|> sample /.keys (set.of_list text.hash))]
         extra_key (random.only (|>> (set.member? keys) not)
                                gen_key)
         extra_value random.nat
         shift random.nat]
        ($_ _.and
            (_.for [/.equivalence]
                   ($equivalence.spec (/.equivalence n.equivalence)
                                      (..random size gen_key random.nat)))
            
            (_.cover [/.size]
                     (n.= size (/.size sample)))
            (_.cover [/.empty?]
                     (bit\= (n.= 0 (/.size sample))
                            (/.empty? sample)))
            (_.cover [/.empty]
                     (/.empty? /.empty))
            (_.cover [/.keys /.values]
                     (\ (/.equivalence n.equivalence) =
                        sample
                        (list.zipped/2 (/.keys sample)
                                       (/.values sample))))
            (_.cover [/.contains?]
                     (and (list.every? (function (_ key)
                                         (/.contains? key sample))
                                       (/.keys sample))
                          (not (/.contains? extra_key sample))))
            (_.cover [/.has]
                     (let [sample+ (/.has extra_key extra_value sample)]
                       (and (not (/.contains? extra_key sample))
                            (/.contains? extra_key sample+)
                            (n.= (++ (/.size sample))
                                 (/.size sample+)))))
            (_.cover [/.value]
                     (|> sample
                         (/.has extra_key extra_value)
                         (/.value extra_key)
                         (maybe\each (n.= extra_value))
                         (maybe.else false)))
            (_.cover [/.revised]
                     (|> sample
                         (/.has extra_key extra_value)
                         (/.revised extra_key (n.+ shift))
                         (/.value extra_key)
                         (maybe\each (n.= (n.+ shift extra_value)))
                         (maybe.else false)))
            (_.cover [/.lacks]
                     (|> sample
                         (/.has extra_key extra_value)
                         (/.lacks extra_key)
                         (\ (/.equivalence n.equivalence) = sample)))
            ))))