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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\spec
["$." equivalence]
["$." hash]]]
[data
["." maybe]
[collection
["." list]
["." set (#+ Set)]]]
[math
["." random (#+ Random)]
[number
["n" nat]]]]]
[\\library
["." /]])
(with_expansions [<resolutions> (as_is /.svga
/.wsvga
/.xga
/.xga+
/.wxga/16:9
/.wxga/5:3
/.wxga/16:10
/.sxga
/.wxga+
/.hd+
/.wsxga+
/.fhd
/.wuxga
/.wqhd
/.uhd-4k)]
(def: listing
(List /.Resolution)
(list <resolutions>))
(def: catalogue
(Set /.Resolution)
(set.from_list /.hash ..listing))
(def: #export random
(Random /.Resolution)
(let [count (list.size ..listing)]
(do {! random.monad}
[choice (\ ! map (n.% count) random.nat)]
(wrap (maybe.assume (list.nth choice ..listing))))))
(def: #export test
Test
(<| (_.covering /._)
(_.for [/.Resolution])
($_ _.and
(_.for [/.equivalence]
($equivalence.spec /.equivalence ..random))
(_.for [/.hash]
($hash.spec /.hash ..random))
(_.cover [<resolutions>]
(n.= (list.size ..listing)
(set.size ..catalogue)))
))))
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