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|
(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
["." monad (#+ do)]
[\\specification
["$." equivalence]]]
[data
["." text ("#\." equivalence)
["%" format (#+ format)]]]
[math
["." random (#+ Random)]
[number
["n" nat ("#\." equivalence)]]]]]
[\\library
["." /]])
(def: #export (random class super)
(All [t c %] (-> (/.Class t c %) (Random t) (Random (/.Quotient t c %))))
(\ random.monad map (/.quotient class) super))
(def: mod_10_class
(/.class (|>> (n.% 10) %.nat)))
(def: Mod_10
(/.type ..mod_10_class))
(def: #export test
Test
(<| (_.covering /._)
(do random.monad
[modulus (random.filter (n.> 0) random.nat)
#let [class (: (-> Nat Text)
(|>> (n.% modulus) %.nat))]
value random.nat]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence text.equivalence)
(..random (/.class class) random.nat)))
(_.for [/.Class]
(_.cover [/.class]
(is? (: Any class)
(: Any (/.class class)))))
(_.for [/.Quotient]
($_ _.and
(_.cover [/.quotient /.value /.label]
(let [quotient (/.quotient (/.class class) value)]
(and (is? value
(/.value quotient))
(text\= (class value)
(/.label quotient)))))
(_.cover [/.type]
(exec
(: ..Mod_10
(/.quotient ..mod_10_class value))
true))
))
))))
|
