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(.module:
[lux (#- type)
["%" data/text/format (#+ format)]
["M" abstract/monad (#+ do)]
["r" math/random (#+ Random)]
["_" test (#+ Test)]
[control
pipe]
[data
["." maybe]
[number
["n" nat]]
[collection
["." list]]]]
{1
["." / ("#@." equivalence)]}
["." / #_
["#." check]
["#." dynamic]
["#." implicit]
["#." resource]])
(def: short
(r.Random Text)
(do r.monad
[size (|> r.nat (:: @ map (n.% 10)))]
(r.unicode size)))
(def: name
(r.Random Name)
(r.and ..short ..short))
(def: #export type
(r.Random Type)
(let [(^open "R@.") r.monad]
(r.rec (function (_ recur)
(let [pairG (r.and recur recur)
idG r.nat
quantifiedG (r.and (R@wrap (list)) recur)]
($_ r.or
(r.and ..short (R@wrap (list)))
pairG
pairG
pairG
idG
idG
idG
quantifiedG
quantifiedG
pairG
(r.and ..name recur)
))))))
(def: #export test
Test
(<| (_.context (%.name (name-of /._)))
($_ _.and
(do r.monad
[sample ..type]
(_.test "Every type is equal to itself."
(:: /.equivalence = sample sample)))
(_.test "Can apply quantified types (universal and existential quantification)."
(and (maybe.default #0
(do maybe.monad
[partial (/.apply (list Bit) Ann)
full (/.apply (list Int) partial)]
(wrap (:: /.equivalence = full (#.Product Bit Int)))))
(|> (/.apply (list Bit) Text)
(case> #.None #1 _ #0))))
(let [base (#.Named ["" "a"] (#.Product Bit Int))
aliased (#.Named ["" "c"]
(#.Named ["" "b"]
base))]
($_ _.and
(_.test "Can remove aliases from an already-named type."
(:: /.equivalence =
base
(/.un-alias aliased)))
(_.test "Can remove all names from a type."
(and (not (:: /.equivalence =
base
(/.un-name aliased)))
(:: /.equivalence =
(/.un-name base)
(/.un-name aliased))))))
(do r.monad
[size (|> r.nat (:: @ map (n.% 3)))
members (|> ..type
(r.filter (function (_ type)
(case type
(^or (#.Sum _) (#.Product _))
#0
_
#1)))
(list.repeat size)
(M.seq @))
#let [(^open "/@.") /.equivalence
(^open "list@.") (list.equivalence /.equivalence)]]
(`` ($_ _.and
(~~ (template [<desc> <ctor> <dtor> <unit>]
[(_.test (format "Can build and tear-down " <desc> " types.")
(let [flat (|> members <ctor> <dtor>)]
(or (list@= members flat)
(and (list@= (list) members)
(list@= (list <unit>) flat)))))]
["variant" /.variant /.flatten-variant Nothing]
["tuple" /.tuple /.flatten-tuple Any]
))
)))
(do r.monad
[size (|> r.nat (:: @ map (n.% 3)))
members (M.seq @ (list.repeat size ..type))
extra (|> ..type
(r.filter (function (_ type)
(case type
(^or (#.Function _) (#.Apply _))
#0
_
#1))))
#let [(^open "/@.") /.equivalence
(^open "list@.") (list.equivalence /.equivalence)]]
($_ _.and
(_.test "Can build and tear-down function types."
(let [[inputs output] (|> (/.function members extra) /.flatten-function)]
(and (list@= members inputs)
(/@= extra output))))
(_.test "Can build and tear-down application types."
(let [[tfunc tparams] (|> extra (/.application members) /.flatten-application)]
(n.= (list.size members) (list.size tparams))))
))
(do r.monad
[size (|> r.nat (:: @ map (n.% 3)))
extra (|> ..type
(r.filter (function (_ type)
(case type
(^or (#.UnivQ _) (#.ExQ _))
#0
_
#1))))
#let [(^open "/@.") /.equivalence]]
(`` ($_ _.and
(~~ (template [<desc> <ctor> <dtor>]
[(_.test (format "Can build and tear-down " <desc> " types.")
(let [[flat-size flat-body] (|> extra (<ctor> size) <dtor>)]
(and (n.= size flat-size)
(/@= extra flat-body))))]
["universally-quantified" /.univ-q /.flatten-univ-q]
["existentially-quantified" /.ex-q /.flatten-ex-q]
))
)))
(_.test (%.name (name-of /.:by-example))
(let [example (: (Maybe Nat)
#.None)]
(/@= (.type (List Nat))
(/.:by-example [a]
{(Maybe a) example}
(List a)))))
/check.test
/dynamic.test
/implicit.test
/resource.test
)))
|
