blob: e81919f194f6e53c67a9c582f97670c952763a6a (
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
|
(.module:
[library
[lux "*"
["_" test {"+" [Test]}]
[abstract
[monad {"+" [do]}]
[\\specification
[functor
["$." contravariant]]]]
[data
["." bit ("#\." equivalence)]]
[math
["." random {"+" [Random]}]
[number
["n" nat]]]]]
[\\library
["." /
[//
[equivalence {"+" [Equivalence]}]]]])
(def: .public test
Test
(<| (_.covering /._)
(do random.monad
[left random.nat
right (|> random.nat (random.only (|>> (n.= left) not)))
.let [equivalence (: (Equivalence (/.Order Nat))
(implementation
(def: (= leftO rightO)
(and (bit\= (\ leftO < left left)
(\ rightO < left left))
(bit\= (\ leftO < right right)
(\ rightO < right right))
(bit\= (\ leftO < left right)
(\ rightO < left right))))))]])
($_ _.and
(_.for [/.functor]
($contravariant.spec equivalence n.order /.functor))
(_.cover [/.Choice /.min /.max]
(n.< (/.max n.order left right)
(/.min n.order left right)))
(_.cover [/.Comparison /.>]
(not (bit\= (n.< left right)
(/.> n.order left right))))
(_.cover [/.<=]
(and (/.<= n.order left left)
(/.<= n.order right right)
(bit\= (\ n.order < left right)
(/.<= n.order left right))))
(_.cover [/.>=]
(and (/.>= n.order left left)
(/.>= n.order right right)
(bit\= (/.> n.order left right)
(/.>= n.order left right))))
)))
|
