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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
["." monad (#+ do)]]
[control
["." maybe ("#\." functor)]]
[data
["." bit ("#\." equivalence)]]
[math
["." random (#+ Random)]
[number
["n" nat]]]]]
[\\library
["." / (#+ Queue)]])
(def: .public (random size)
(-> Nat (Random (Queue Nat)))
(do {! random.monad}
[inputs (random.list size random.nat)]
(monad.mix ! (function (_ head tail)
(do !
[priority random.nat]
(in (/.end priority head tail))))
/.empty
inputs)))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Queue])
(do {! random.monad}
[size (\ ! each (n.% 100) random.nat)
sample (..random size)
non_member_priority random.nat
non_member (random.only (|>> (/.member? n.equivalence sample) not)
random.nat)
max_member random.nat
min_member random.nat]
($_ _.and
(_.cover [/.size]
(n.= size (/.size sample)))
(_.cover [/.empty?]
(bit\= (n.= 0 (/.size sample))
(/.empty? sample)))
(_.cover [/.empty]
(/.empty? /.empty))
(_.cover [/.front]
(case (/.front sample)
(#.Some first)
(n.> 0 (/.size sample))
#.None
(/.empty? sample)))
(_.cover [/.member?]
(case (/.front sample)
(#.Some first)
(/.member? n.equivalence sample first)
#.None
(/.empty? sample)))
(_.cover [/.end]
(let [sample+ (/.end non_member_priority non_member sample)]
(and (not (/.member? n.equivalence sample non_member))
(n.= (++ (/.size sample))
(/.size sample+))
(/.member? n.equivalence sample+ non_member))))
(_.cover [/.next]
(let [sample- (/.next sample)]
(or (and (/.empty? sample)
(/.empty? sample-))
(n.= (-- (/.size sample))
(/.size sample-)))))
(_.for [/.Priority]
($_ _.and
(_.cover [/.max]
(|> /.empty
(/.end /.min min_member)
(/.end /.max max_member)
/.front
(maybe\each (n.= max_member))
(maybe.else false)))
(_.cover [/.min]
(|> /.empty
(/.end /.max max_member)
(/.end /.min min_member)
/.next
/.front
(maybe\each (n.= min_member))
(maybe.else false)))
))
))))
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