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(.module:
  [library
   [lux #*
    ["%" data/text/format (#+ format)]
    ["_" test (#+ Test)]
    [abstract
     [monad (#+ do)]
     [equivalence (#+ Equivalence)
      [\\poly
       ["." /]]]
     [\\spec
      ["$." equivalence]]]
    [data
     ["." bit]
     ["." maybe]
     ["." text]
     [collection
      ["." list]]]
    [macro
     [poly (#+ derived:)]]
    [math
     ["." random (#+ Random)]
     [number
      ["n" nat]
      ["i" int]]]]])

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

(type: #rec Recursive
  (#Number Frac)
  (#Addition Frac Recursive))

(type: 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 (\ ! map (n.% 2) random.nat)
     #let [gen_int (|> random.int (\ ! map (|>> 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)))

(derived: equivalence
  (/.equivalence Record))

(def: #export test
  Test
  (<| (_.covering /._)
      (_.for [/.equivalence]
             ($equivalence.spec ..equivalence ..random))))