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
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
//! Check whether a digraph is symmetric.
//!
//! A digraph is symmetric if for every arc `(u, v)` there is an arc
//! `(v, u)`.
//!
//! # Examples
//!
//! ```
//! use graaf::{
//! AddArc,
//! AdjacencyList,
//! Empty,
//! IsSymmetric,
//! RemoveArc,
//! };
//!
//! let mut digraph = AdjacencyList::empty(2);
//!
//! digraph.add_arc(0, 1);
//! digraph.add_arc(1, 0);
//!
//! assert!(digraph.is_symmetric());
//!
//! digraph.remove_arc(1, 0);
//!
//! assert!(!digraph.is_symmetric());
//!
//! let mut digraph = AdjacencyList::empty(3);
//!
//! digraph.add_arc(0, 1);
//! digraph.add_arc(0, 2);
//! digraph.add_arc(1, 2);
//! digraph.add_arc(2, 0);
//!
//! assert!(!digraph.is_symmetric());
//! ```
use crate::{
Arcs,
HasArc,
};
/// Check whether a digraph is symmetric.
pub trait IsSymmetric {
/// Check whether the digraph is symmetric.
///
/// # Examples
/// ```
/// use graaf::{
/// AddArc,
/// AdjacencyList,
/// Empty,
/// IsSymmetric,
/// RemoveArc,
/// };
///
/// let mut digraph = AdjacencyList::empty(2);
///
/// digraph.add_arc(0, 1);
/// digraph.add_arc(1, 0);
///
/// assert!(digraph.is_symmetric());
///
/// digraph.remove_arc(1, 0);
///
/// assert!(!digraph.is_symmetric());
/// ```
#[must_use]
fn is_symmetric(&self) -> bool;
}
impl<D> IsSymmetric for D
where
D: Arcs + HasArc,
{
fn is_symmetric(&self) -> bool {
self.arcs().all(|(u, v)| self.has_arc(v, u))
}
}
/// `IsSymmetric` tests
#[macro_export]
macro_rules! test_is_symmetric {
($fixture:path) => {
use $fixture::{
bang_jensen_34,
bang_jensen_94,
bang_jensen_196,
kattis_builddeps,
kattis_cantinaofbabel_1,
kattis_cantinaofbabel_2,
kattis_escapewallmaria_1,
kattis_escapewallmaria_2,
kattis_escapewallmaria_3,
};
#[test]
fn is_symmetric_bang_jensen_196() {
assert!(!bang_jensen_196().is_symmetric());
}
#[test]
fn is_symmetric_bang_jensen_34() {
assert!(!bang_jensen_34().is_symmetric());
}
#[test]
fn is_symmetric_bang_jensen_94() {
assert!(!bang_jensen_94().is_symmetric());
}
#[test]
fn is_symmetric_kattis_builddeps() {
assert!(!kattis_builddeps().is_symmetric());
}
#[test]
fn is_symmetric_kattis_cantinaofbabel_1() {
assert!(!kattis_cantinaofbabel_1().is_symmetric());
}
#[test]
fn is_symmetric_kattis_cantinaofbabel_2() {
assert!(!kattis_cantinaofbabel_2().is_symmetric());
}
#[test]
fn is_symmetric_kattis_escapewallmaria_1() {
assert!(!kattis_escapewallmaria_1().is_symmetric());
}
#[test]
fn is_symmetric_kattis_escapewallmaria_2() {
assert!(!kattis_escapewallmaria_2().is_symmetric());
}
#[test]
fn is_symmetric_kattis_escapewallmaria_3() {
assert!(kattis_escapewallmaria_3().is_symmetric());
}
};
}