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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]]
[math
["." random (#+ Random)]]]]
[\\library
["." /]])
(def: .public (spec (^open "@//.") generator)
(All [a] (-> (/.Order a) (Random a) Test))
(<| (_.for [/.Order])
($_ _.and
(do random.monad
[parameter generator
subject generator]
(_.test "Values are either ordered, or they are equal. All options are mutually exclusive."
(cond (@//< parameter subject)
(not (or (@//< subject parameter)
(@//= parameter subject)))
(@//< subject parameter)
(not (@//= parameter subject))
## else
(@//= parameter subject))))
(do random.monad
[parameter generator
subject (random.only (|>> (@//= parameter) not)
generator)
extra (random.only (function (_ value)
(not (or (@//= parameter value)
(@//= subject value))))
generator)]
(_.test "Transitive property."
(if (@//< parameter subject)
(let [greater? (and (@//< subject extra)
(@//< parameter extra))
lesser? (and (@//< extra parameter)
(@//< extra subject))
in_between? (and (@//< parameter extra)
(@//< extra subject))]
(or greater?
lesser?
in_between?))
## (@//< subject parameter)
(let [greater? (and (@//< extra subject)
(@//< extra parameter))
lesser? (and (@//< parameter extra)
(@//< subject extra))
in_between? (and (@//< subject extra)
(@//< extra parameter))]
(or greater?
lesser?
in_between?)))))
)))
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