blob: 3507442c34487d012db69bb09454c93167904a63 (
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
|
(.using
[library
[lux {"-" has list}
[abstract
[equivalence {"+" Equivalence}]
[hash {"+" Hash}]
[predicate {"+" Predicate}]
[monoid {"+" Monoid}]]
[data
[collection
["[0]" list ("[1]#[0]" mix)]]]
[macro
["^" pattern]]
[math
[number
["n" nat]]]]]
["[0]" // "_"
["[1]" dictionary {"+" Dictionary}]])
(type: .public (Set a)
(Dictionary a Any))
(def: .public member_hash
(All (_ a) (-> (Set a) (Hash a)))
//.key_hash)
(def: .public empty
(All (_ a) (-> (Hash a) (Set a)))
//.empty)
(def: .public size
(All (_ a) (-> (Set a) Nat))
//.size)
(def: .public (has elem set)
(All (_ a) (-> a (Set a) (Set a)))
(|> set (//.has elem [])))
(def: .public lacks
(All (_ a) (-> a (Set a) (Set a)))
//.lacks)
(def: .public member?
(All (_ a) (-> (Set a) a Bit))
//.key?)
(def: .public list
(All (_ a) (-> (Set a) (List a)))
//.keys)
(def: .public union
(All (_ a) (-> (Set a) (Set a) (Set a)))
//.composite)
(def: .public (difference sub base)
(All (_ a) (-> (Set a) (Set a) (Set a)))
(list#mix ..lacks base (..list sub)))
(def: .public (intersection filter base)
(All (_ a) (-> (Set a) (Set a) (Set a)))
(//.sub (//.keys filter)
base))
(implementation: .public equivalence
(All (_ a) (Equivalence (Set a)))
(def: (= (^.let reference [hash _]) sample)
(and (n.= (..size reference)
(..size sample))
(list.every? (..member? reference)
(..list sample)))))
(implementation: .public hash
(All (_ a) (Hash (Set a)))
(def: &equivalence ..equivalence)
(def: (hash set)
(|> set
..list
(# (list.hash (..member_hash set)) hash))))
(implementation: .public (monoid hash)
(All (_ a) (-> (Hash a) (Monoid (Set a))))
(def: identity (..empty hash))
(def: composite ..union))
(def: .public empty?
(All (_ a) (-> (Set a) Bit))
(|>> ..size (n.= 0)))
(def: .public (of_list hash elements)
(All (_ a) (-> (Hash a) (List a) (Set a)))
(list#mix ..has (..empty hash) elements))
(def: .public (sub? super sub)
(All (_ a) (-> (Set a) (Set a) Bit))
(list.every? (..member? super) (..list sub)))
(def: .public (super? sub super)
(All (_ a) (-> (Set a) (Set a) Bit))
(..sub? super sub))
(def: .public predicate
(All (_ a) (-> (Set a) (Predicate a)))
..member?)
|
