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(.module:
[lux #*
[control
["." monad (#+ do Monad)]]
[data
[number
["." nat]]
["." maybe]
[collection
[queue
["&" priority]]]]
[math
["r" random]]]
lux/test)
(def: (gen-queue size)
(-> Nat (r.Random (&.Queue Nat)))
(do r.monad
[inputs (r.list size r.nat)]
(monad.fold @ (function (_ head tail)
(do @
[priority r.nat]
(wrap (&.push priority head tail))))
&.empty
inputs)))
(context: "Queues"
(<| (times 100)
(do @
[size (|> r.nat (:: @ map (n/% 100)))
sample (gen-queue size)
non-member-priority r.nat
non-member (|> r.nat (r.filter (|>> (&.member? nat.equivalence sample) not)))]
($_ seq
(test "I can query the size of a queue (and empty queues have size 0)."
(n/= size (&.size sample)))
(test "Enqueueing and dequeing affects the size of queues."
(and (n/= (inc size)
(&.size (&.push non-member-priority non-member sample)))
(or (n/= 0 (&.size sample))
(n/= (dec size)
(&.size (&.pop sample))))))
(test "I can query whether an element belongs to a queue."
(and (and (not (&.member? nat.equivalence sample non-member))
(&.member? nat.equivalence
(&.push non-member-priority non-member sample)
non-member))
(or (n/= 0 (&.size sample))
(and (&.member? nat.equivalence
sample
(maybe.assume (&.peek sample)))
(not (&.member? nat.equivalence
(&.pop sample)
(maybe.assume (&.peek sample))))))))
))))
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