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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
["." monad (#+ do)]
[\\specification
["$." equivalence]
["$." fold]
["$." functor]]]
[data
["." product]
[collection
["." list ("#\." functor fold)]]]
[math
["." random (#+ Random)]
[number
["n" nat]]]]]
[\\library
["." / (#+ Tree)]])
(def: .public (tree gen_value)
(All [a] (-> (Random a) (Random [Nat (Tree a)])))
(do {! random.monad}
[value gen_value
num_children (\ ! map (n.% 2) random.nat)
children (random.list num_children (tree gen_value))]
(in [(|> children
(list\map product.left)
(list\fold n.+ 1))
{#/.value value
#/.children (list\map product.right children)}])))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Tree])
($_ _.and
(_.for [/.equivalence]
(|> (..tree random.nat)
(\ random.monad map product.right)
($equivalence.spec (/.equivalence n.equivalence))))
(_.for [/.fold]
($fold.spec /.leaf /.equivalence /.fold))
(_.for [/.functor]
($functor.spec /.leaf /.equivalence /.functor))
(do random.monad
[[size sample] (..tree random.nat)]
(_.cover [/.flat]
(n.= size
(list.size (/.flat sample)))))
(do random.monad
[expected random.nat]
(_.cover [/.leaf]
(\ (list.equivalence n.equivalence) =
(list expected)
(/.flat (/.leaf expected)))))
(do {! random.monad}
[value random.nat
num_children (\ ! map (n.% 3) random.nat)
children (random.list num_children random.nat)]
(_.cover [/.branch]
(\ (list.equivalence n.equivalence) =
(list& value children)
(/.flat (/.branch value (list\map /.leaf children))))))
(do random.monad
[expected/0 random.nat
expected/1 random.nat
expected/2 random.nat
expected/3 random.nat
expected/4 random.nat
expected/5 random.nat]
(_.cover [/.tree]
(and (\ (list.equivalence n.equivalence) =
(list expected/0)
(/.flat (/.tree expected/0)))
(\ (list.equivalence n.equivalence) =
(list expected/0 expected/1 expected/2)
(/.flat (/.tree expected/0
{expected/1 {}
expected/2 {}})))
(\ (list.equivalence n.equivalence) =
(list expected/0 expected/1 expected/2
expected/3 expected/4 expected/5)
(/.flat (/.tree expected/0
{expected/1 {}
expected/2 {expected/3 {}
expected/4 {expected/5 {}}}})))
)))
)))
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