blob: 232e9316afdb3c9bf976a9608158f7afad594404 (
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
|
(.require
[library
[lux (.except)
[abstract
[equivalence (.only Equivalence)]
[monad (.only do)]]
[control
["[0]" function]]
[math
["[0]" random]
[number
["n" nat]]]
[test
["_" property (.only Test)]]]]
[\\library
["[0]" / (.only Functor)]])
(type .public (Injection f)
(All (_ a) (-> a (f a))))
(type .public (Comparison f)
(All (_ a)
(-> (Equivalence a)
(Equivalence (f a)))))
(def (identity injection comparison (open "@//[0]"))
(All (_ f) (-> (Injection f) (Comparison f) (Functor f) Test))
(do [! random.monad]
[sample (at ! each injection random.nat)]
(_.test "Identity."
((comparison n.=)
(@//each function.identity sample)
sample))))
(def (homomorphism injection comparison (open "@//[0]"))
(All (_ f) (-> (Injection f) (Comparison f) (Functor f) Test))
(do [! random.monad]
[sample random.nat
increase (at ! each n.+ random.nat)]
(_.test "Homomorphism."
((comparison n.=)
(@//each increase (injection sample))
(injection (increase sample))))))
(def (composition injection comparison (open "@//[0]"))
(All (_ f) (-> (Injection f) (Comparison f) (Functor f) Test))
(do [! random.monad]
[sample (at ! each injection random.nat)
increase (at ! each n.+ random.nat)
decrease (at ! each n.- random.nat)]
(_.test "Composition."
((comparison n.=)
(|> sample (@//each increase) (@//each decrease))
(|> sample (@//each (|>> increase decrease)))))))
(def .public (spec injection comparison functor)
(All (_ f) (-> (Injection f) (Comparison f) (Functor f) Test))
(<| (_.for [/.Functor])
(all _.and
(..identity injection comparison functor)
(..homomorphism injection comparison functor)
(..composition injection comparison functor)
)))
|