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(.module:
[lux #*
[control
["M" monad (#+ do Monad)]]
[data
bit]
[math
["r" random]]]
lux/test)
(context: "Bit operations."
(<| (times +100)
(do @
[value r.bit]
(test "" (and (not (and value (not value)))
(or value (not value))
(not (:: Or@Monoid<Bit> identity))
(:: Or@Monoid<Bit> compose value (not value))
(:: And@Monoid<Bit> identity)
(not (:: And@Monoid<Bit> compose value (not value)))
(:: Equivalence<Bit> = value (not (not value)))
(not (:: Equivalence<Bit> = value (not value)))
(not (:: Equivalence<Bit> = value ((complement id) value)))
(:: Equivalence<Bit> = value ((complement not) value))
(case (|> value
(:: Codec<Text,Bit> encode)
(:: Codec<Text,Bit> decode))
(#.Right dec-value)
(:: Equivalence<Bit> = value dec-value)
(#.Left _)
#0)
)))))
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