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(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]
[\\specification
["$[0]" equivalence]
["$[0]" monoid]
["$[0]" mix]
["$[0]" functor {"+" [Injection]}]]]
[control
["[0]" maybe]]
[data
["[0]" bit]
[collection
["[0]" list]
["[0]" set]]]
[math
["[0]" random {"+" [Random]}]
[number
["n" nat]]]]]
[\\library
["[0]" / {"+" [Array]}]])
(def: injection
(Injection Array)
(|>> list /.of_list))
(def: bounded_size
(Random Nat)
(\ random.monad each (|>> (n.% 100) (n.+ 1))
random.nat))
(def: structures
Test
(do [! random.monad]
[size ..bounded_size]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec (/.equivalence n.equivalence) (random.array size random.nat)))
(_.for [/.monoid]
($monoid.spec (/.equivalence n.equivalence) /.monoid (random.array size random.nat)))
(_.for [/.functor]
($functor.spec ..injection /.equivalence /.functor))
(_.for [/.mix]
($mix.spec ..injection /.equivalence /.mix))
)))
(def: search
Test
(do [! random.monad]
[size ..bounded_size
base random.nat
shift random.nat
.let [expected (n.+ base shift)]
the_array (random.array size random.nat)]
($_ _.and
(_.cover [/.example]
(\ (maybe.equivalence n.equivalence) =
(/.example n.even? the_array)
(list.example n.even? (/.list #.None the_array))))
(_.cover [/.example+]
(case [(/.example n.even? the_array)
(/.example+ (function (_ idx member)
(n.even? member))
the_array)]
[{#.Some expected} {#.Some [idx actual]}]
(case (/.read! idx the_array)
{#.Some again}
(and (n.= expected actual)
(n.= actual again))
#.None
false)
[#.None #.None]
true
_
false))
(_.cover [/.every?]
(\ bit.equivalence =
(list.every? n.even? (/.list #.None the_array))
(/.every? n.even? the_array)))
(_.cover [/.any?]
(\ bit.equivalence =
(list.any? n.even? (/.list #.None the_array))
(/.any? n.even? the_array)))
)))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Array])
(do [! random.monad]
[size ..bounded_size
base random.nat
shift random.nat
dummy (random.only (|>> (n.= base) not) random.nat)
.let [expected (n.+ base shift)]
the_array (random.array size random.nat)]
($_ _.and
..structures
..search
(_.cover [/.empty /.size]
(n.= size (/.size (: (Array Nat)
(/.empty size)))))
(_.cover [/.type_name]
(case /.Array
(^ {#.Named _ {#.UnivQ _ {#.Primitive nominal_type (list {#.Parameter 1})}}})
(same? /.type_name nominal_type)
_
false))
(_.cover [/.read! /.write!]
(let [the_array (|> (/.empty 2)
(: (Array Nat))
(/.write! 0 expected))]
(case [(/.read! 0 the_array)
(/.read! 1 the_array)]
[{#.Some actual} #.None]
(n.= expected actual)
_
false)))
(_.cover [/.delete!]
(let [the_array (|> (/.empty 1)
(: (Array Nat))
(/.write! 0 expected))]
(case [(/.read! 0 the_array)
(/.read! 0 (/.delete! 0 the_array))]
[{#.Some actual} #.None]
(n.= expected actual)
_
false)))
(_.cover [/.contains?]
(let [the_array (|> (/.empty 2)
(: (Array Nat))
(/.write! 0 expected))]
(and (/.contains? 0 the_array)
(not (/.contains? 1 the_array)))))
(_.cover [/.update!]
(let [the_array (|> (/.empty 1)
(: (Array Nat))
(/.write! 0 base)
(/.update! 0 (n.+ shift)))]
(case (/.read! 0 the_array)
{#.Some actual}
(n.= expected actual)
_
false)))
(_.cover [/.upsert!]
(let [the_array (|> (/.empty 2)
(: (Array Nat))
(/.write! 0 base)
(/.upsert! 0 dummy (n.+ shift))
(/.upsert! 1 base (n.+ shift)))]
(case [(/.read! 0 the_array)
(/.read! 1 the_array)]
[{#.Some actual/0} {#.Some actual/1}]
(and (n.= expected actual/0)
(n.= expected actual/1))
_
false)))
(do !
[occupancy (\ ! each (n.% (++ size)) random.nat)]
(_.cover [/.occupancy /.vacancy]
(let [the_array (loop [output (: (Array Nat)
(/.empty size))
idx 0]
(if (n.< occupancy idx)
(recur (/.write! idx expected output)
(++ idx))
output))]
(and (n.= occupancy (/.occupancy the_array))
(n.= size (n.+ (/.occupancy the_array)
(/.vacancy the_array)))))))
(do !
[the_list (random.list size random.nat)
.let [the_array (/.clone the_array)
members (|> the_array (/.list #.None) (set.of_list n.hash))]
default (random.only (function (_ value)
(not (or (n.even? value)
(set.member? members value))))
random.nat)]
(_.cover [/.of_list /.list]
(and (|> the_list /.of_list (/.list #.None)
(\ (list.equivalence n.equivalence) = the_list))
(|> the_array (/.list #.None) /.of_list
(\ (/.equivalence n.equivalence) = the_array))
(exec
(/.filter! n.even? the_array)
(list.every? (function (_ value)
(or (n.even? value)
(same? default value)))
(/.list {#.Some default} the_array))))))
(do !
[amount (\ ! each (n.% (++ size)) random.nat)]
(_.cover [/.copy!]
(let [copy (: (Array Nat)
(/.empty size))]
(exec (/.copy! amount 0 the_array 0 copy)
(\ (list.equivalence n.equivalence) =
(list.first amount (/.list #.None the_array))
(/.list #.None copy))))))
(_.cover [/.clone]
(let [clone (/.clone the_array)]
(and (not (same? the_array clone))
(\ (/.equivalence n.equivalence) = the_array clone))))
(let [the_array (/.clone the_array)
evens (|> the_array (/.list #.None) (list.only n.even?))
odds (|> the_array (/.list #.None) (list.only n.odd?))]
(_.cover [/.filter!]
(exec (/.filter! n.even? the_array)
(and (n.= (list.size evens) (/.occupancy the_array))
(n.= (list.size odds) (/.vacancy the_array))
(|> the_array (/.list #.None) (\ (list.equivalence n.equivalence) = evens))))))
))))
|
