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|
(.using
[library
[lux (.except)
["_" test (.only Test)]
[abstract
["[0]" monad (.only do)]
[\\specification
["$[0]" equivalence]]]
[data
["[0]" text ("[1]#[0]" equivalence)
["%" format (.only format)]]]
[math
["[0]" random (.only Random)]
[number
["n" nat ("[1]#[0]" equivalence)]]]]]
[\\library
["[0]" /]])
(def: .public (random class super)
(All (_ t c %) (-> (/.Class t c %) (Random t) (Random (/.Quotient t c %))))
(# random.monad each (/.quotient class) super))
(def: mod_10_class
(/.class (|>> (n.% 10) %.nat)))
(def: Mod_10
(/.type ..mod_10_class))
(def: .public test
Test
(<| (_.covering /._)
(do random.monad
[modulus (random.only (n.> 0) random.nat)
.let [class (is (-> Nat Text)
(|>> (n.% modulus) %.nat))]
value random.nat]
(all _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence text.equivalence)
(..random (/.class class) random.nat)))
(_.for [/.Class]
(_.coverage [/.class]
(same? (is Any class)
(is Any (/.class class)))))
(_.for [/.Quotient]
(all _.and
(_.coverage [/.quotient /.value /.label]
(let [quotient (/.quotient (/.class class) value)]
(and (same? value
(/.value quotient))
(text#= (class value)
(/.label quotient)))))
(_.coverage [/.type]
(exec
(is ..Mod_10
(/.quotient ..mod_10_class value))
true))
))
))))
|
