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(.module:
[lux #*
["_" test (#+ Test)]
["." meta]
[abstract
[monad (#+ do)]]
[control
["." try]
["." exception]]
[math
["." random (#+ Random)]
[number
["i" int]]]
[macro
[syntax (#+ syntax:)]
["." code]]]
{1
["." /]})
(syntax: (|divisor|)
(do meta.monad
[divisor meta.count]
(wrap (list (code.int (case divisor
0 +1
_ (.int divisor)))))))
(def: #export (random range)
(Ex [%] (-> Int (Random (/.Modulus %))))
(|> random.int
(\ random.monad map (i.% range))
(random.one (|>> /.modulus try.to_maybe))))
(def: #export test
Test
(<| (_.covering /._)
(_.for [/.Modulus])
(do random.monad
[divisor random.int
modulus (..random +1,000,000)
dividend random.int]
($_ _.and
(_.cover [/.modulus /.divisor]
(case (/.modulus divisor)
(#try.Success modulus)
(i.= divisor (/.divisor modulus))
(#try.Failure error)
(i.= +0 divisor)))
(_.cover [/.zero_cannot_be_a_modulus]
(case (/.modulus +0)
(#try.Failure error)
(exception.match? /.zero_cannot_be_a_modulus error)
(#try.Success modulus)
false))
(_.cover [/.literal]
(with_expansions [<divisor> (|divisor|)]
(i.= <divisor> (/.divisor (/.literal <divisor>)))))
(_.cover [/.=]
(with_expansions [<divisor> (|divisor|)]
(/.= (/.literal <divisor>)
(/.literal <divisor>))))
(_.cover [/.congruent?]
(and (/.congruent? modulus dividend dividend)
(or (not (/.congruent? modulus dividend (inc dividend)))
(i.= +1 (/.divisor modulus)))))
))))
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