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(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]
[\\specification
["$[0]" equivalence]]]
[control
pipe]
[data
["[0]" text]
[collection
["[0]" list ("[1]\[0]" functor)]]]
[math
["[0]" random]
[number
["n" nat]
["i" int]]]]]
[\\library
["[0]" /]])
(def: .public test
Test
(<| (_.covering /._)
(_.for [.Union .Or])
(do [! random.monad]
[expected random.nat
shift random.nat]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence n.equivalence)
(random.or random.nat random.nat)))
(do random.monad
[left random.int
right random.nat]
(_.cover [/.hash]
(let [hash (/.hash i.hash n.hash)]
(and (n.= (\ i.hash hash left)
(\ hash hash {#.Left left}))
(n.= (\ n.hash hash right)
(\ hash hash {#.Right right}))))))
(_.cover [/.left]
(|> (/.left expected)
(: (Or Nat Nat))
(case> {0 #0 actual} (n.= expected actual)
_ false)))
(_.cover [/.right]
(|> (/.right expected)
(: (Or Nat Nat))
(case> {0 #1 actual} (n.= expected actual)
_ false)))
(_.cover [/.either]
(and (|> (/.left expected)
(: (Or Nat Nat))
(/.either (n.+ shift) (n.- shift))
(n.= (n.+ shift expected)))
(|> (/.right expected)
(: (Or Nat Nat))
(/.either (n.+ shift) (n.- shift))
(n.= (n.- shift expected)))))
(_.cover [/.then]
(and (|> (/.left expected)
(: (Or Nat Nat))
(/.then (n.+ shift) (n.- shift))
(case> {0 #0 actual} (n.= (n.+ shift expected) actual) _ false))
(|> (/.right expected)
(: (Or Nat Nat))
(/.then (n.+ shift) (n.- shift))
(case> {0 #1 actual} (n.= (n.- shift expected) actual) _ false))))
(do !
[size (\ ! each (n.% 5) random.nat)
expected (random.list size random.nat)]
($_ _.and
(_.cover [/.lefts]
(let [actual (: (List (Or Nat Nat))
(list\each /.left expected))]
(and (\ (list.equivalence n.equivalence) =
expected
(/.lefts actual))
(\ (list.equivalence n.equivalence) =
(list)
(/.rights actual)))))
(_.cover [/.rights]
(let [actual (: (List (Or Nat Nat))
(list\each /.right expected))]
(and (\ (list.equivalence n.equivalence) =
expected
(/.rights actual))
(\ (list.equivalence n.equivalence) =
(list)
(/.lefts actual)))))
(_.cover [/.partition]
(let [[lefts rights] (|> expected
(list\each (function (_ value)
(if (n.even? value)
(/.left value)
(/.right value))))
(: (List (Or Nat Nat)))
/.partition)]
(and (\ (list.equivalence n.equivalence) =
(list.only n.even? expected)
lefts)
(\ (list.equivalence n.equivalence) =
(list.only (|>> n.even? not) expected)
rights))))
))
))))
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