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(.using
 [library
  [lux "*"
   ["_" test {"+" Test}]
   [abstract
    [monad {"+" do}]]
   [control
    ["[0]" pipe]
    ["[0]" try ("[1]#[0]" functor)]
    ["[0]" exception]
    [parser
     ["<[0]>" binary]]]
   [data
    [format
     ["[0]F" binary]]]
   [math
    ["[0]" random]
    [number
     ["[0]" nat]]]]]
 [\\library
  ["[0]" /
   [///
    ["[1][0]" signature ("[1]#[0]" equivalence)]
    ["[1][0]" key]]]]
 ["[0]" /// "_"
  ["[1][0]" signature]])

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.Document])
      (do random.monad
        [signature/0 ///signature.random
         signature/1 (random.only (|>> (/signature#= signature/0) not)
                                  ///signature.random)
         .let [key/0 (/key.key signature/0 0)
               key/1 (/key.key signature/1 0)]
         expected random.nat]
        (all _.and
             (_.cover [/.document /.content]
                      (|> expected
                          (/.document key/0)
                          (/.content key/0)
                          (try#each (same? expected))
                          (try.else false)))
             (_.cover [/.signature]
                      (|> expected
                          (/.document key/0)
                          /.signature
                          (same? signature/0)))
             (_.cover [/.marked?]
                      (and (|> expected
                               (/.document key/0)
                               (/.marked? key/0)
                               (pipe.case
                                 {try.#Success it} true
                                 {try.#Failure error} false))
                           (|> expected
                               (/.document key/0)
                               (/.marked? key/1)
                               (pipe.case
                                 {try.#Success it} false
                                 {try.#Failure error} true))))
             (_.cover [/.invalid_signature]
                      (and (|> expected
                               (/.document key/0)
                               (/.content key/1)
                               (pipe.case
                                 {try.#Success it}
                                 false
                                 
                                 {try.#Failure error}
                                 (exception.match? /.invalid_signature error)))
                           (|> expected
                               (/.document key/0)
                               (/.marked? key/1)
                               (pipe.case
                                 {try.#Success it}
                                 false
                                 
                                 {try.#Failure error}
                                 (exception.match? /.invalid_signature error)))))
             (_.cover [/.writer /.parser]
                      (|> expected
                          (/.document key/0)
                          (binaryF.result (/.writer binaryF.nat))
                          (<binary>.result (/.parser key/0 <binary>.nat))
                          (pipe.case
                            {try.#Success it}
                            (and (/signature#= signature/0 (/.signature it))
                                 (|> it
                                     (/.content key/0)
                                     (try#each (nat.= expected))
                                     (try.else false)))
                            
                            {try.#Failure error}
                            false)))
             ))))