aboutsummaryrefslogtreecommitdiff
path: root/stdlib/source/test/lux/data/collection/queue.lux
blob: aa6365a41be7aebd557011961269f725e71f18f9 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
(.using
 [library
  [lux "*"
   ["_" test {"+" Test}]
   [abstract
    [monad {"+" do}]
    [\\specification
     ["$[0]" equivalence]
     ["$[0]" functor {"+" Injection}]]]
   [data
    ["[0]" bit ("[1]#[0]" equivalence)]
    [collection
     ["[0]" set]
     ["[0]" list ("[1]#[0]" monoid)]]]
   [math
    ["[0]" random]
    [number
     ["n" nat]]]]]
 [\\library
  ["[0]" /]])

(def: injection
  (Injection /.Queue)
  (|>> list /.of_list))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.Queue])
      (do [! random.monad]
        [size (# ! each (n.% 100) random.nat)
         members (random.set n.hash size random.nat)
         non_member (random.only (|>> (set.member? members) not)
                                 random.nat)
         .let [members (set.list members)
               sample (/.of_list members)]]
        (all _.and
             (_.for [/.equivalence]
                    ($equivalence.spec (/.equivalence n.equivalence) (random.queue size random.nat)))
             (_.for [/.functor]
                    ($functor.spec ..injection /.equivalence /.functor))

             (_.cover [/.of_list /.list]
                      (|> members /.of_list /.list
                          (# (list.equivalence n.equivalence) = members)))
             (_.cover [/.size]
                      (n.= size (/.size sample)))
             (_.cover [/.empty?]
                      (bit#= (n.= 0 size) (/.empty? sample)))
             (_.cover [/.empty]
                      (let [empty_is_empty!
                            (/.empty? /.empty)

                            all_empty_queues_look_the_same!
                            (bit#= (/.empty? sample)
                                   (# (/.equivalence n.equivalence) =
                                      sample
                                      /.empty))]
                        (and empty_is_empty!
                             all_empty_queues_look_the_same!)))
             (_.cover [/.front]
                      (case [members (/.front sample)]
                        [{.#Item head tail} {.#Some first}]
                        (n.= head first)
                        
                        [{.#End} {.#None}]
                        true

                        _
                        false))
             (_.cover [/.member?]
                      (let [every_member_is_identified!
                            (list.every? (/.member? n.equivalence sample)
                                         (/.list sample))

                            non_member_is_not_identified!
                            (not (/.member? n.equivalence sample non_member))]
                        (and every_member_is_identified!
                             non_member_is_not_identified!)))
             (_.cover [/.end]
                      (let [pushed (/.end non_member sample)

                            size_increases!
                            (n.= (++ (/.size sample)) (/.size pushed))

                            new_member_is_identified!
                            (/.member? n.equivalence pushed non_member)

                            has_expected_order!
                            (# (list.equivalence n.equivalence) =
                               (list#composite (/.list sample) (list non_member))
                               (/.list pushed))]
                        (and size_increases!
                             new_member_is_identified!
                             has_expected_order!)))
             (_.cover [/.next]
                      (case members
                        {.#Item target expected}
                        (let [popped (/.next sample)

                              size_decreases!
                              (n.= (-- (/.size sample))
                                   (/.size popped))

                              popped_member_is_not_identified!
                              (not (/.member? n.equivalence popped target))

                              has_expected_order!
                              (# (list.equivalence n.equivalence) =
                                 expected
                                 (/.list popped))]
                          (and size_decreases!
                               popped_member_is_not_identified!
                               has_expected_order!))
                        
                        {.#End}
                        (and (/.empty? sample)
                             (/.empty? (/.next sample)))))
             ))))