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(.module:
  [library
   [lux {"-" Variant Record}
    ["_" test {"+" Test}]
    ["@" target]
    [abstract
     [monad {"+" do}]
     [equivalence {"+" Equivalence}
      [\\poly
       ["[0]" /]]]
     [\\specification
      ["$[0]" equivalence]]]
    [control
     ["[0]" maybe]]
    [data
     ["[0]" bit]
     ["[0]" text]
     [collection
      ["[0]" list]]]
    [math
     ["[0]" random {"+" Random}]
     [number
      ["n" nat]
      ["i" int]]]]])

(type: Variant
  (.Variant
   {#Case0 Bit}
   {#Case1 Int}
   {#Case2 Frac}))

(type: Recursive
  (Rec Recursive
    (.Variant
     {#Number Frac}
     {#Addition Frac Recursive})))

(type: Record
  (.Record
   [#bit Bit
    #int Int
    #frac Frac
    #text Text
    #maybe (Maybe Int)
    #list (List Int)
    #variant Variant
    #tuple [Int Frac Text]
    #recursive Recursive]))

(def: gen_recursive
  (Random Recursive)
  (random.rec (function (_ gen_recursive)
                (random.or random.safe_frac
                           (random.and random.safe_frac
                                       gen_recursive)))))

(def: random
  (Random Record)
  (do [! random.monad]
    [size (# ! each (n.% 2) random.nat)
     .let [gen_int (|> random.int (# ! each (|>> i.abs (i.% +1,000,000))))]]
    ($_ random.and
        random.bit
        gen_int
        random.safe_frac
        (random.unicode size)
        (random.maybe gen_int)
        (random.list size gen_int)
        ($_ random.or
            random.bit
            gen_int
            random.safe_frac)
        ($_ random.and
            gen_int
            random.safe_frac
            (random.unicode size))
        gen_recursive)))

(for [@.old (as_is)]
     (as_is (def: equivalence
              (Equivalence ..Record)
              (/.equivalence ..Record))))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.equivalence]
             (for [@.old (_.test "PLACEHOLDER" true)]
                  ($equivalence.spec ..equivalence ..random)))))