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|
(.module:
[library
[lux #*
["_" test (#+ Test)]
[data
["." identity (#+ Identity)]
[collection
["." list ("#\." functor fold)]]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / (#+ Monad do)]])
(def: #export test
Test
(do random.monad
[mono random.nat
poly (random.list 10 random.nat)]
(<| (_.covering /._)
($_ _.and
(_.cover [/.do]
(n.= (inc mono)
(: (Identity Nat)
(/.do identity.monad
[sample (wrap mono)]
(wrap (inc sample))))))
(_.cover [/.bind]
(n.= (inc mono)
(: (Identity Nat)
(/.bind identity.monad
(|>> inc (\ identity.monad wrap))
(\ identity.monad wrap mono)))))
(_.cover [/.seq]
(\ (list.equivalence n.equivalence) =
(list\map inc poly)
(|> poly
(list\map (|>> inc (\ identity.monad wrap)))
(: (List (Identity Nat)))
(/.seq identity.monad)
(: (Identity (List Nat))))))
(_.cover [/.map]
(\ (list.equivalence n.equivalence) =
(list\map inc poly)
(|> poly
(/.map identity.monad (|>> inc (\ identity.monad wrap)))
(: (Identity (List Nat))))))
(_.cover [/.filter]
(\ (list.equivalence n.equivalence) =
(list.filter n.even? poly)
(|> poly
(/.filter identity.monad (|>> n.even? (\ identity.monad wrap)))
(: (Identity (List Nat))))))
(_.cover [/.fold]
(n.= (list\fold n.+ 0 poly)
(|> poly
(/.fold identity.monad
(function (_ part whole)
(\ identity.monad wrap
(n.+ part whole)))
0)
(: (Identity Nat)))))
))))
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