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
143
144
145
146
//! Check whether a digraph is balanced.
//!
//! A digraph is balanced if the indegree of each vertex equals its
//! outdegree.
//!
//! # Examples
//!
//! ```
//! use graaf::{
//! AddArc,
//! AdjacencyList,
//! Empty,
//! IsBalanced,
//! };
//!
//! let mut digraph = AdjacencyList::empty(3);
//!
//! digraph.add_arc(0, 1);
//! digraph.add_arc(0, 2);
//! digraph.add_arc(1, 0);
//! digraph.add_arc(1, 2);
//! digraph.add_arc(2, 0);
//!
//! assert!(!digraph.is_balanced());
//!
//! digraph.add_arc(2, 1);
//!
//! assert!(digraph.is_balanced());
//! ```
#![doc(alias = "isograph")]
#![doc(alias = "pseudosymmetric")]
use crate::{
Indegree,
Outdegree,
Vertices,
};
/// Check whether a digraph is balanced.
#[doc(alias = "Isograph")]
#[doc(alias = "Pseudosymmetric")]
pub trait IsBalanced {
/// Check whether the digraph is balanced.
///
/// # Examples
///
/// ```
/// use graaf::{
/// AddArc,
/// AdjacencyList,
/// Empty,
/// IsBalanced,
/// };
///
/// let mut digraph = AdjacencyList::empty(3);
///
/// digraph.add_arc(0, 1);
/// digraph.add_arc(0, 2);
/// digraph.add_arc(1, 0);
/// digraph.add_arc(1, 2);
/// digraph.add_arc(2, 0);
///
/// assert!(!digraph.is_balanced());
///
/// digraph.add_arc(2, 1);
///
/// assert!(digraph.is_balanced());
/// ```
#[doc(alias = "isograph")]
#[doc(alias = "pseudosymmetric")]
#[must_use]
fn is_balanced(&self) -> bool;
}
impl<D> IsBalanced for D
where
D: Indegree + Outdegree + Vertices,
{
fn is_balanced(&self) -> bool {
self.vertices()
.all(|u| self.indegree(u) == self.outdegree(u))
}
}
/// `IsBalanced` tests
#[macro_export]
macro_rules! test_is_balanced {
($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_balanced_bang_jensen_196() {
assert!(!bang_jensen_196().is_balanced());
}
#[test]
fn is_balanced_bang_jensen_34() {
assert!(!bang_jensen_34().is_balanced());
}
#[test]
fn is_balanced_bang_jensen_94() {
assert!(!bang_jensen_94().is_balanced());
}
#[test]
fn is_balanced_kattis_builddeps() {
assert!(!kattis_builddeps().is_balanced());
}
#[test]
fn is_balanced_kattis_cantinaofbabel_1() {
assert!(!kattis_cantinaofbabel_1().is_balanced());
}
#[test]
fn is_balanced_kattis_cantinaofbabel_2() {
assert!(!kattis_cantinaofbabel_2().is_balanced());
}
#[test]
fn is_balanced_kattis_escapewallmaria_1() {
assert!(!kattis_escapewallmaria_1().is_balanced());
}
#[test]
fn is_balanced_kattis_escapewallmaria_2() {
assert!(!kattis_escapewallmaria_2().is_balanced());
}
#[test]
fn is_balanced_kattis_escapewallmaria_3() {
assert!(kattis_escapewallmaria_3().is_balanced());
}
};
}