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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\specification
["$." equivalence]
["$." monoid]
["$." fold]
["$." functor (#+ Injection)]
["$." apply]
["$." monad]]]
[control
["." try (#+ Try)]
["." exception]]
[data
["." bit ("#\." equivalence)]
[collection
["." list ("#\." fold)]
["." set]]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / ("#\." monad)]])
(def: signatures
Test
(do {! random.monad}
[size (\ ! map (n.% 100) random.nat)]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence) (random.row size random.nat)))
(_.for [/.monoid]
($monoid.spec (/.equivalence n.equivalence) /.monoid (random.row size random.nat)))
(_.for [/.fold]
($fold.spec /\in /.equivalence /.fold))
(_.for [/.functor]
($functor.spec /\in /.equivalence /.functor))
(_.for [/.apply]
($apply.spec /\in /.equivalence /.apply))
(_.for [/.monad]
($monad.spec /\in /.equivalence /.monad))
)))
(def: whole
Test
(do {! random.monad}
[size (\ ! map (n.% 100) random.nat)
sample (random.set n.hash size random.nat)
.let [sample (|> sample set.list /.of_list)]
.let [(^open "/\.") (/.equivalence n.equivalence)]]
($_ _.and
(_.cover [/.size]
(n.= size (/.size sample)))
(_.cover [/.empty?]
(bit\= (/.empty? sample) (n.= 0 (/.size sample))))
(_.cover [/.empty]
(/.empty? /.empty))
(_.cover [/.list /.of_list]
(|> sample /.list /.of_list (/\= sample)))
(_.cover [/.reversed]
(or (n.< 2 (/.size sample))
(let [not_same!
(not (/\= sample
(/.reversed sample)))
self_symmetry!
(/\= sample
(/.reversed (/.reversed sample)))]
(and not_same!
self_symmetry!))))
(_.cover [/.every? /.any?]
(if (/.every? n.even? sample)
(not (/.any? (bit.complement n.even?) sample))
(/.any? (bit.complement n.even?) sample)))
)))
(def: index_based
Test
(do {! random.monad}
[size (\ ! map (|>> (n.% 100) inc) random.nat)]
($_ _.and
(do !
[good_index (|> random.nat (\ ! map (n.% size)))
.let [bad_index (n.+ size good_index)]
sample (random.set n.hash size random.nat)
non_member (random.only (|>> (set.member? sample) not)
random.nat)
.let [sample (|> sample set.list /.of_list)]]
($_ _.and
(_.cover [/.item]
(case (/.item good_index sample)
(#try.Success member)
(/.member? n.equivalence sample member)
(#try.Failure error)
false))
(_.cover [/.put]
(<| (try.else false)
(do try.monad
[sample (/.put good_index non_member sample)
actual (/.item good_index sample)]
(in (same? non_member actual)))))
(_.cover [/.revised]
(<| (try.else false)
(do try.monad
[sample (/.put good_index non_member sample)
sample (/.revised good_index inc sample)
actual (/.item good_index sample)]
(in (n.= (inc non_member) actual)))))
(_.cover [/.within_bounds?]
(and (/.within_bounds? sample good_index)
(not (/.within_bounds? sample bad_index))))
(_.cover [/.index_out_of_bounds]
(let [fails! (: (All [a] (-> (Try a) Bit))
(function (_ situation)
(case situation
(#try.Success member)
false
(#try.Failure error)
(exception.match? /.index_out_of_bounds error))))]
(and (fails! (/.item bad_index sample))
(fails! (/.put bad_index non_member sample))
(fails! (/.revised bad_index inc sample)))))
))
)))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Row])
(do {! random.monad}
[size (\ ! map (|>> (n.% 100) inc) random.nat)]
($_ _.and
..signatures
..whole
..index_based
(do !
[sample (random.set n.hash size random.nat)
non_member (random.only (|>> (set.member? sample) not)
random.nat)
.let [sample (|> sample set.list /.of_list)]
.let [(^open "/\.") (/.equivalence n.equivalence)]]
($_ _.and
(do !
[value/0 random.nat
value/1 random.nat
value/2 random.nat]
(_.cover [/.row]
(/\= (/.of_list (list value/0 value/1 value/2))
(/.row value/0 value/1 value/2))))
(_.cover [/.member?]
(and (list.every? (/.member? n.equivalence sample)
(/.list sample))
(not (/.member? n.equivalence sample non_member))))
(_.cover [/.add]
(let [added (/.add non_member sample)
size_increases!
(n.= (inc (/.size sample))
(/.size added))
is_a_member!
(/.member? n.equivalence added non_member)]
(and size_increases!
is_a_member!)))
(_.cover [/.pop]
(if (/.empty? sample)
(/.empty? (/.pop sample))
(let [expected_size!
(n.= (dec (/.size sample))
(/.size (/.pop sample)))
symmetry!
(|> sample
(/.add non_member)
/.pop
(/\= sample))]
(and expected_size!
symmetry!))))
))
))))
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