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|
(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[equivalence (#+)]
[functor (#+)]
[monoid (#+)]
[monad (#+ do)]
["." enum]]
[data
["." bit ("#\." equivalence)]
[collection
["." list]]]
[math
["." random (#+ Random)]
[number
["n" nat]]]]]
[\\library
["." /]])
(/.implicit: [n.multiplication])
(def: .public test
Test
(<| (_.covering /._)
(do {! random.monad}
[.let [digit (\ ! each (n.% 10) random.nat)]
left digit
right digit
.let [start (n.min left right)
end (n.max left right)]
left random.nat
right random.nat]
($_ _.and
(_.cover [/.\\]
(let [first_order!
(let [(^open "list\.") (list.equivalence n.equivalence)]
(and (bit\= (\ n.equivalence = left right)
(/.\\ = left right))
(list\= (\ list.functor each ++ (enum.range n.enum start end))
(/.\\ each ++ (enum.range n.enum start end)))))
second_order!
(/.\\ =
(enum.range n.enum start end)
(enum.range n.enum start end))
third_order!
(let [lln (/.\\ each (enum.range n.enum start)
(enum.range n.enum start end))]
(/.\\ = lln lln))]
(and first_order!
second_order!
third_order!)))
(_.cover [/.with]
(/.with [n.addition]
(n.= (\ n.addition composite left right)
(/.\\ composite left right))))
(_.cover [/.implicit:]
(n.= (\ n.multiplication composite left right)
(/.\\ composite left right)))
))))
|
