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(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]
[\\specification
["$[0]" functor {"+" [Injection Comparison]}]
["$[0]" apply]
["$[0]" monad]]]
[data
[collection
["[0]" list]]]
[math
["[0]" random]
[number
["n" nat]]]]]
[\\library
["[0]" /]])
(def: injection
(All (_ o) (Injection (All (_ i) (/.Cont i o))))
(|>> /.pending))
(def: comparison
(Comparison /.Cont)
(function (_ == left right)
(== (/.result left) (/.result right))))
(def: .public test
Test
(<| (_.covering /._)
(do random.monad
[sample random.nat
.let [(^open "_\[0]") /.apply
(^open "_\[0]") /.monad]
elems (random.list 3 random.nat)])
(_.for [/.Cont])
($_ _.and
(_.for [/.functor]
($functor.spec ..injection ..comparison /.functor))
(_.for [/.apply]
($apply.spec ..injection ..comparison /.apply))
(_.for [/.monad]
($monad.spec ..injection ..comparison /.monad))
(_.cover [/.result]
(n.= sample (/.result (_\in sample))))
(_.cover [/.with_current]
(n.= (n.* 2 sample)
(/.result (do [! /.monad]
[value (/.with_current
(function (_ k)
(do !
[temp (k sample)]
... If this code where to run,
... the output would be
... (n.* 4 sample)
(k temp))))]
(in (n.* 2 value))))))
(_.cover [/.portal]
(n.= (n.+ 100 sample)
(/.result (do /.monad
[[restart [output idx]] (/.portal [sample 0])]
(if (n.< 10 idx)
(restart [(n.+ 10 output) (++ idx)])
(in output))))))
(_.cover [/.shift /.reset]
(let [(^open "_\[0]") /.monad
(^open "list\[0]") (list.equivalence n.equivalence)
visit (: (-> (List Nat)
(/.Cont (List Nat) (List Nat)))
(function (visit xs)
(case xs
{.#End}
(_\in {.#End})
{.#Item x xs'}
(do [! /.monad]
[output (/.shift (function (_ k)
(do !
[tail (k xs')]
(in {.#Item x tail}))))]
(visit output)))))]
(list\= elems
(/.result (/.reset (visit elems))))))
(_.cover [/.continued]
(/.continued (same? sample)
(: (/.Cont Nat Bit)
(function (_ next)
(next sample)))))
(_.cover [/.pending]
(/.continued (same? sample)
(: (/.Cont Nat Bit)
(/.pending sample))))
)))
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