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(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]]
[control
["[0]" maybe]]
[data
[collection
["[0]" list]]]
[math
["[0]" random]
[number
["n" nat]]]]]
[\\library
["[0]" / {"+" [Functor]}]])
(def: .public test
Test
(do random.monad
[left random.nat
right random.nat
shift random.nat]
(<| (_.covering /._)
($_ _.and
(_.cover [/.Or /.sum]
(and (case (\ (/.sum maybe.functor list.functor) each
(n.+ shift)
{#.Left {#.Some left}})
{#.Left {#.Some actual}}
(n.= (n.+ shift left) actual)
_
false)
(case (\ (/.sum maybe.functor list.functor) each
(n.+ shift)
{#.Right (list right)})
(^ {#.Right (list actual)})
(n.= (n.+ shift right) actual)
_
false)))
(_.cover [/.And /.product]
(case (\ (/.product maybe.functor list.functor) each
(n.+ shift)
[{#.Some left} (list right)])
(^ [{#.Some actualL} (list actualR)])
(and (n.= (n.+ shift left) actualL)
(n.= (n.+ shift right) actualR))
_
false))
(_.cover [/.Then /.composite]
(case (\ (/.composite maybe.functor list.functor) each
(n.+ shift)
{#.Some (list left)})
(^ {#.Some (list actual)})
(n.= (n.+ shift left) actual)
_
false))
))))
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