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|
(.using
[library
[lux "*"
["_" test {"+" Test}]
[abstract
[monad {"+" do}]
["[0]" enum]
[\\specification
["$[0]" equivalence]
["$[0]" hash]
["$[0]" monoid]
["$[0]" mix]
["$[0]" functor]
["$[0]" apply]
["$[0]" monad]]]
[control
["[0]" pipe]
["[0]" io]
["[0]" maybe]
["[0]" function]]
[data
["[0]" bit]
["[0]" product]
["[0]" text ("[1]#[0]" equivalence)]
[collection
["[0]" set]]]
[math
["[0]" random {"+" Random}]
[number
["n" nat]
["[0]" int]]]]]
[\\library
["[0]" / ("[1]#[0]" monad)]])
(def: bounded_size
(Random Nat)
(# random.monad each (n.% 100)
random.nat))
(def: random
(Random (List Nat))
(do [! random.monad]
[size ..bounded_size]
(|> random.nat
(random.set n.hash size)
(# ! each set.list))))
(def: signatures
Test
(all _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence) ..random))
(_.for [/.hash]
(|> random.nat
(# random.monad each (|>> list))
($hash.spec (/.hash n.hash))))
(_.for [/.monoid]
($monoid.spec (/.equivalence n.equivalence) /.monoid ..random))
(_.for [/.mix]
($mix.spec /#in /.equivalence /.mix))
(_.for [/.functor]
($functor.spec /#in /.equivalence /.functor))
(_.for [/.apply]
($apply.spec /#in /.equivalence /.apply))
(_.for [/.monad]
($monad.spec /#in /.equivalence /.monad))
(do [! random.monad]
[parameter random.nat
subject random.nat]
(let [lifted (/.lifted io.monad)
(open "io#[0]") io.monad
expected (n.+ parameter subject)]
(_.cover [/.with /.lifted]
(|> (io.run! (do (/.with io.monad)
[a (lifted (io#in parameter))
b (in subject)]
(in (n.+ a b))))
(pipe.case
(pattern (list actual))
(n.= expected actual)
_
false)))))
))
(def: whole
Test
(do [! random.monad]
[size ..bounded_size
.let [(open "/#[0]") (/.equivalence n.equivalence)]
sample (# ! each set.list (random.set n.hash size random.nat))]
(all _.and
(_.cover [/.size]
(n.= size (/.size sample)))
(_.cover [/.empty?]
(# bit.equivalence =
(/.empty? sample)
(n.= 0 (/.size sample))))
(_.cover [/.repeated]
(n.= size (/.size (/.repeated size []))))
(_.cover [/.reversed]
(or (n.< 2 (/.size sample))
(let [not_same!
(not (/#= sample
(/.reversed sample)))
self_symmetry!
(/#= sample
(/.reversed (/.reversed sample)))]
(and not_same!
self_symmetry!))))
(_.cover [/.every? /.any?]
(if (/.every? n.even? sample)
(not (/.any? (bit.complement n.even?) sample))
(/.any? (bit.complement n.even?) sample)))
(_.cover [/.sorted]
(let [<<< n.<
size_preservation!
(n.= (/.size sample)
(/.size (/.sorted <<< sample)))
symmetry!
(/#= (/.sorted <<< sample)
(/.reversed (/.sorted (function.flipped <<<) sample)))]
(and size_preservation!
symmetry!)))
)))
(def: indices
Test
(let [(open "/#[0]") (/.equivalence n.equivalence)
(open "/#[0]") /.functor]
(do [! random.monad]
[sample ..random
.let [size (/.size sample)]]
(all _.and
(_.cover [/.indices]
(let [indices (/.indices size)
expected_amount!
(n.= size (/.size indices))
already_sorted!
(/#= indices
(/.sorted n.< indices))
expected_numbers!
(/.every? (n.= (-- size))
(/.zipped_with_2 n.+
indices
(/.sorted n.> indices)))]
(and expected_amount!
already_sorted!
expected_numbers!)))
(_.cover [/.enumeration]
(let [enumeration (/.enumeration sample)
has_correct_indices!
(/#= (/.indices (/.size enumeration))
(/#each product.left enumeration))
has_correct_values!
(/#= sample
(/#each product.right enumeration))]
(and has_correct_indices!
has_correct_values!)))
(_.cover [/.item]
(/.every? (function (_ [index expected])
(case (/.item index sample)
{.#Some actual}
(n.= expected actual)
{.#None}
false))
(/.enumeration sample)))
(do !
[index (case size
0 random.nat
_ (# ! each (n.% size) random.nat))
.let [changed? (/#= sample (/.revised index ++ sample))
same? (/#= sample (/.revised size ++ sample))]]
(_.cover [/.revised]
(case size
0 (and changed?
same?)
_ (not changed?))))
))))
(def: slice
Test
(let [(open "/#[0]") (/.equivalence n.equivalence)
(open "/#[0]") /.monoid]
(do [! random.monad]
[sample (random.only (|>> /.size (n.> 0))
..random)
.let [size (/.size sample)]
idx (# ! each (n.% size) random.nat)
sub_size (# ! each (|>> (n.% size) ++) random.nat)]
(all _.and
(_.cover [/.only]
(let [positives (/.only n.even? sample)
negatives (/.only (bit.complement n.even?) sample)]
(and (/.every? n.even? positives)
(not (/.any? n.even? negatives))
(n.= (/.size sample)
(n.+ (/.size positives)
(/.size negatives))))))
(_.cover [/.partition]
(let [[positives negatives] (/.partition n.even? sample)]
(and (/#= (/.only n.even? sample)
positives)
(/#= (/.only (bit.complement n.even?) sample)
negatives))))
(_.cover [/.split_at]
(let [[left right] (/.split_at idx sample)]
(/#= sample
(/#composite left right))))
(_.cover [/.split_when]
(let [[left right] (/.split_when n.even? sample)]
(/#= sample
(/#composite left right))))
(_.cover [/.first /.after]
(/#= sample
(/#composite (/.first idx sample)
(/.after idx sample))))
(_.cover [/.while /.until]
(/#= sample
(/#composite (/.while n.even? sample)
(/.until n.even? sample))))
(_.cover [/.sub]
(let [subs (/.sub sub_size sample)]
(and (/.every? (|>> /.size (n.<= sub_size)) subs)
(/#= sample
(/.together subs)))))
))))
(def: member
Test
(let [(open "/#[0]") (/.equivalence n.equivalence)]
(do [! random.monad]
[sample ..random]
(`` (all _.and
(_.cover [/.member?]
(/.every? (/.member? n.equivalence sample)
sample))
(~~ (template [<head> <tail> <pre>]
[(all _.and
(_.cover [<head>]
(case [(<pre> sample) (<head> sample)]
[{.#Item expected _} {.#Some actual}]
(n.= expected actual)
[{.#End} {.#None}]
true
_
false))
(_.cover [<tail>]
(case [(<pre> sample) (<tail> sample)]
[{.#Item _ expected} {.#Some actual}]
(/#= (<pre> expected) actual)
[{.#End} {.#None}]
true
_
false))
)]
[/.head /.tail |>]
[/.last /.inits /.reversed]
))
)))))
(def: grouping
Test
(let [(open "/#[0]") (/.equivalence n.equivalence)
(open "/#[0]") /.functor
(open "/#[0]") /.monoid
+/2 (is (-> Nat Nat Nat)
(function (_ left right)
(all n.+ left right)))
+/3 (is (-> Nat Nat Nat Nat)
(function (_ left mid right)
(all n.+ left mid right)))]
(do [! random.monad]
[sample/0 ..random
sample/1 ..random
sample/2 ..random]
(all _.and
(_.cover [/.pairs]
(let [even_sized? (|> sample/0
/.size
(n.% 2)
(n.= 0))]
(case (/.pairs sample/0)
{.#Some pairs/0}
(and even_sized?
(n.= (n./ 2 (/.size sample/0))
(/.size pairs/0)))
{.#None}
(not even_sized?))))
(_.cover [/.zipped_2]
(let [zipped (/.zipped_2 sample/0 sample/1)
zipped::size (/.size zipped)
size_of_smaller_list!
(n.= zipped::size
(n.min (/.size sample/0) (/.size sample/1)))
can_extract_values!
(and (/#= (/.first zipped::size sample/0)
(/#each product.left zipped))
(/#= (/.first zipped::size sample/1)
(/#each product.right zipped)))]
(and size_of_smaller_list!
can_extract_values!)))
(_.cover [/.zipped_3]
(let [zipped (/.zipped_3 sample/0 sample/1 sample/2)
zipped::size (/.size zipped)
size_of_smaller_list!
(n.= zipped::size
(all n.min
(/.size sample/0)
(/.size sample/1)
(/.size sample/2)))
can_extract_values!
(and (/#= (/.first zipped::size sample/0)
(/#each product.left zipped))
(/#= (/.first zipped::size sample/1)
(/#each (|>> product.right product.left) zipped))
(/#= (/.first zipped::size sample/2)
(/#each (|>> product.right product.right) zipped)))]
(and size_of_smaller_list!
can_extract_values!)))
(_.cover [/.zipped]
(and (# (/.equivalence (product.equivalence n.equivalence n.equivalence)) =
(/.zipped_2 sample/0 sample/1)
((/.zipped 2) sample/0 sample/1))
(# (/.equivalence (all product.equivalence n.equivalence n.equivalence n.equivalence)) =
(/.zipped_3 sample/0 sample/1 sample/2)
((/.zipped 3) sample/0 sample/1 sample/2))))
(_.cover [/.zipped_with_2]
(/#= (/#each (function (_ [left right])
(+/2 left right))
(/.zipped_2 sample/0 sample/1))
(/.zipped_with_2 +/2 sample/0 sample/1)))
(_.cover [/.zipped_with_3]
(/#= (/#each (function (_ [left mid right])
(+/3 left mid right))
(/.zipped_3 sample/0 sample/1 sample/2))
(/.zipped_with_3 +/3 sample/0 sample/1 sample/2)))
(_.cover [/.zipped_with]
(and (/#= (/.zipped_with_2 +/2 sample/0 sample/1)
((/.zipped_with 2) +/2 sample/0 sample/1))
(/#= (/.zipped_with_3 +/3 sample/0 sample/1 sample/2)
((/.zipped_with 3) +/3 sample/0 sample/1 sample/2))))
(_.cover [/.together]
(and (/#= (/#composite sample/0 sample/1)
(/.together (list sample/0 sample/1)))
(/#= (all /#composite sample/0 sample/1 sample/2)
(/.together (list sample/0 sample/1 sample/2)))))
))))
(def: search
Test
(let [(open "/#[0]") /.functor
choice (is (-> Nat (Maybe Text))
(function (_ value)
(if (n.even? value)
{.#Some (# n.decimal encoded value)}
{.#None})))]
(do [! random.monad]
[sample ..random]
(all _.and
(_.cover [/.one]
(case [(|> sample
(/.only n.even?)
(/#each (# n.decimal encoded))
/.head)
(/.one choice sample)]
[{.#Some expected} {.#Some actual}]
(text#= expected actual)
[{.#None} {.#None}]
true
_
false))
(_.cover [/.all]
(# (/.equivalence text.equivalence) =
(|> sample
(/.only n.even?)
(/#each (# n.decimal encoded)))
(/.all choice sample)))
(_.cover [/.example]
(case (/.example n.even? sample)
{.#Some found}
(n.even? found)
{.#None}
(not (/.any? n.even? sample))))
))))
(def: .public test
Test
(<| (_.covering /._)
(_.for [.List])
(let [(open "/#[0]") (/.equivalence n.equivalence)
(open "/#[0]") /.functor]
(do [! random.monad]
[sample ..random
separator random.nat]
(all _.and
..signatures
..whole
..indices
..slice
..member
..grouping
..search
(_.cover [/.interposed]
(or (/.empty? sample)
(let [sample+ (/.interposed separator sample)]
(and (n.= (|> (/.size sample) (n.* 2) --)
(/.size sample+))
(|> sample+
/.pairs
(maybe.else (list))
(/.every? (|>> product.right (n.= separator))))))))
(_.cover [/.iterations]
(or (/.empty? sample)
(let [size (/.size sample)]
(/#= (/.indices size)
(/.iterations (function (_ index)
(if (n.< size index)
{.#Some (++ index)}
{.#None}))
0)))))
(_.cover [/.mixes]
(/#= (/#each (function (_ index)
(# /.mix mix n.+ 0 (/.first index sample)))
(/.indices (++ (/.size sample))))
(/.mixes n.+ 0 sample)))
(do random.monad
[expected random.nat
.let [(open "/#[0]") (/.equivalence n.equivalence)]]
(_.cover [/.when]
(and (/#= (list expected) (/.when true (list expected)))
(/#= (list) (/.when false (list expected))))))
)))))
|
