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|
(.require
[library
[lux (.except)
[abstract
[equivalence (.only Equivalence)]
[monad (.only do)]]
[math
["[0]" random (.only Random)]]
[test
["_" property (.only Test)]]]]
[\\library
["[0]" /]])
(def .public (spec (open "[0]") (open "[0]") random)
(All (_ of)
(-> (Equivalence of) (/.Arithmetic of) (Random of)
Test))
(do random.monad
[any random
.let [zero (- any any)
non_zero (random.only (|>> (= zero) not)
random)]
left non_zero
right non_zero
.let [one (/ right right)]]
(<| (_.covering /._)
(_.for [/.Arithmetic])
(all _.and
(_.coverage [/.+ /.-]
(and (|> left (+ right) (- right) (= left))
(|> left (- right) (+ right) (= left))
(|> left (+ zero) (= left))
(|> left (- zero) (= left))
(|> left (- left) (= zero))))
(_.coverage [/.* /./]
(and (|> left (* right) (/ right) (= left))
(|> left (* one) (= left))
(|> left (/ one) (= left))
(|> left (/ left) (= one))
(|> left (* zero) (= zero))))
(_.coverage [/.%]
(let [rem (% left right)
div (|> right (- rem) (/ left))]
(= right
(|> div (* left) (+ rem)))))
))))
|
