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|
(.module:
[lux #*
[control
[monad (#+ do)]
[predicate (#+ Predicate)]]
[data
["." maybe]
[number
["." i64]]]
["." math
["r" random (#+ Random) ("r/." Functor<Random>)]]
["_" test (#+ Test)]]
[/
["/." cli]
["/." host
["/." jvm]]])
(def: identity
Test
(do r.Monad<Random>
[self (r.unicode 1)]
($_ _.and
(_.test "Every value is identical to itself."
(is? self self))
(_.test "The 'id' function doesn't change values in any way."
(is? self (id self)))
(do @
[other (r.unicode 1)]
(_.test "Values created separately can't be identical."
(not (is? self other))))
)))
(def: increment-and-decrement
Test
(do r.Monad<Random>
[value r.i64]
($_ _.and
(_.test "'inc' and 'dec' are different."
(not (n/= (inc value)
(dec value))))
(_.test "'inc' and 'dec' are opposites."
(and (|> value inc dec (n/= value))
(|> value dec inc (n/= value))))
(_.test "'inc' and 'dec' shift the number by 1."
(let [shift 1]
(and (n/= (n/+ shift value)
(inc value))
(n/= (n/- shift value)
(dec value))))))))
(def: (check-neighbors has-property? value)
(All [a] (-> (Predicate (I64 a)) (I64 a) Bit))
(and (|> value inc has-property?)
(|> value dec has-property?)))
(def: (even-or-odd rand-gen even? odd?)
(All [a] (-> (Random (I64 a)) (Predicate (I64 a)) (Predicate (I64 a)) Test))
(do r.Monad<Random>
[value rand-gen]
($_ _.and
(_.test "Every number is either even or odd."
(if (even? value)
(not (odd? value))
(odd? value)))
(_.test "Every odd/even number is surrounded by two of the other kind."
(if (even? value)
(check-neighbors odd? value)
(check-neighbors even? value))))))
(type: (Choice a)
(-> a a a))
(type: (Order a)
(-> a a Bit))
(type: (Equivalence a)
(-> a a Bit))
(def: (choice rand-gen = [< choose])
(All [a] (-> (Random a) (Equivalence a) [(Order a) (Choice a)] Test))
(do r.Monad<Random>
[left rand-gen
right rand-gen
#let [choice (choose left right)]]
($_ _.and
(_.test "The choice between 2 values is one of them."
(or (= left choice)
(= right choice)))
(_.test "The choice between 2 values implies an order relationship between them."
(if (= left choice)
(< right choice)
(< left choice))))))
(def: (minimum-and-maximum rand-gen = min' max')
(All [a] (-> (Random a) (Equivalence a) [(Order a) (Choice a)] [(Order a) (Choice a)] Test))
($_ _.and
(<| (_.context "Minimum.")
(choice rand-gen = min'))
(<| (_.context "Maximum.")
(choice rand-gen = max'))))
(def: (conversion rand-gen forward backward =)
(All [a b] (-> (Random a) (-> a b) (-> b a) (Equivalence a) Test))
(do r.Monad<Random>
[value rand-gen]
(_.test "Can convert between types in a lossless way."
(|> value forward backward (= value)))))
(def: frac-rev
(r.Random Rev)
(|> r.rev
(:: r.Functor<Random> map (|>> (i64.left-shift 11) (i64.logical-right-shift 11)))))
(def: prelude-macros
Test
($_ _.and
(do r.Monad<Random>
[factor (r/map (|>> (n/% 10) (n/max 1)) r.nat)
iterations (r/map (n/% 100) r.nat)
#let [expected (n/* factor iterations)]]
(_.test "Can write loops."
(n/= expected
(loop [counter 0
value 0]
(if (n/< iterations counter)
(recur (inc counter) (n/+ factor value))
value)))))
(do r.Monad<Random>
[first r.nat
second r.nat
third r.nat]
(_.test "Can create lists easily through macros."
(and (case (list first second third)
(#.Cons first' (#.Cons second' (#.Cons third' #.Nil)))
(and (n/= first first')
(n/= second second')
(n/= third third'))
_
false)
(case (list& first (list second third))
(#.Cons first' (#.Cons second' (#.Cons third' #.Nil)))
(and (n/= first first')
(n/= second second')
(n/= third third'))
_
false)
(case (list& first second (list third))
(#.Cons first' (#.Cons second' (#.Cons third' #.Nil)))
(and (n/= first first')
(n/= second second')
(n/= third third'))
_
false))))
(do r.Monad<Random>
[default r.nat
maybe r.nat]
(_.test "Can have defaults for Maybe values."
(and (is? default (maybe.default default
#.None))
(is? maybe (maybe.default default
(#.Some maybe))))))
))
(template: (hypotenuse cat0 cat1)
(n/+ (n/* cat0 cat0) (n/* cat1 cat1)))
(def: template
Test
(do r.Monad<Random>
[cat0 r.nat
cat1 r.nat]
(_.test "Template application is a stand-in for the templated code."
(n/= (n/+ (n/* cat0 cat0) (n/* cat1 cat1))
(hypotenuse cat0 cat1)))))
(def: cross-platform-support
Test
(do r.Monad<Random>
[on-default r.nat
on-fake-host r.nat
on-valid-host r.nat]
($_ _.and
(_.test "Can provide default in case there is no particular host/platform support."
(n/= on-default
(for {"" on-fake-host}
on-default)))
(_.test "Can pick code depending on the host/platform being targeted."
(n/= on-valid-host
(for {"JVM" on-valid-host
"JS" on-valid-host}
on-default))))))
(def: #export test
($_ _.and
(<| (_.context "Identity.")
..identity)
(<| (_.context "Increment & decrement.")
..increment-and-decrement)
(<| (_.context "Even or odd.")
($_ _.and
(<| (_.context "Natural numbers.")
(..even-or-odd r.nat n/even? n/odd?))
(<| (_.context "Integers.")
(..even-or-odd r.int i/even? i/odd?))))
(<| (_.context "Minimum and maximum.")
(`` ($_ _.and
(~~ (do-template [<=> <lt> <min> <gt> <max> <gen> <context>]
[(<| (_.context <context>)
(..minimum-and-maximum <gen> <=> [<lt> <min>] [<gt> <max>]))]
[i/= i/< i/min i/> i/max r.int "Integers."]
[n/= n/< n/min n/> n/max r.nat "Natural numbers."]
[r/= r/< r/min r/> r/max r.rev "Revolutions."]
[f/= f/< f/min f/> f/max r.frac "Fractions."]
)))))
(<| (_.context "Conversion.")
(`` ($_ _.and
(~~ (do-template [<context> <=> <forward> <backward> <gen>]
[(<| (_.context <context>)
(..conversion <gen> <forward> <backward> <=>))]
["Int -> Nat"
i/= .nat .int (r/map (i/% +1_000_000) r.int)]
["Nat -> Int"
n/= .int .nat (r/map (n/% 1_000_000) r.nat)]
["Int -> Frac"
i/= int-to-frac frac-to-int (r/map (i/% +1_000_000) r.int)]
["Frac -> Int"
f/= frac-to-int int-to-frac (r/map math.floor r.frac)]
["Rev -> Frac"
r/= rev-to-frac frac-to-rev frac-rev]
)))))
(<| (_.context "Prelude macros.")
..prelude-macros)
(<| (_.context "Templates.")
..template)
(<| (_.context "Cross-platform support.")
..cross-platform-support)
(<| (_.context "/cli")
/cli.test)
(<| (_.context "/host")
($_ _.and
/host.test
(<| (_.context "/jvm")
/jvm.test)))
))
|
