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//! Iterate a digraph's semidegree sequence.
//!
//! # Examples
//!
//! ```
//! use graaf::{
//! AddArc,
//! AdjacencyList,
//! Empty,
//! SemidegreeSequence,
//! };
//!
//! 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.semidegree_sequence().eq([(1, 2), (1, 1), (2, 1)]));
//! ```
use crate::{
Indegree,
Outdegree,
Vertices,
};
/// Digraph semidegree sequence
pub trait SemidegreeSequence {
/// Iterate the semidegree sequence of a digraph.
///
/// # Examples
///
/// ```
/// use graaf::{
/// AddArc,
/// AdjacencyList,
/// Empty,
/// SemidegreeSequence,
/// };
///
/// 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.semidegree_sequence().eq([(1, 2), (1, 1), (2, 1)]));
/// ```
#[must_use]
fn semidegree_sequence(&self) -> impl Iterator<Item = (usize, usize)>;
}
impl<D> SemidegreeSequence for D
where
D: Indegree + Outdegree + Vertices,
{
fn semidegree_sequence(&self) -> impl Iterator<Item = (usize, usize)> {
self.vertices()
.map(|u| (self.indegree(u), self.outdegree(u)))
}
}
/// `SemidegreeSequence` tests
#[macro_export]
macro_rules! test_semidegree_sequence {
($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 semidegree_sequence_bang_jensen_196() {
assert!(bang_jensen_196().semidegree_sequence().eq([
(1, 3),
(1, 3),
(3, 1),
(1, 2),
(2, 1),
(1, 1),
(1, 1),
(3, 1)
]));
}
#[test]
fn semidegree_sequence_bang_jensen_34() {
assert!(bang_jensen_34().semidegree_sequence().eq([
(1, 1),
(1, 1),
(0, 3),
(1, 0),
(2, 0),
(1, 1)
]));
}
#[test]
fn semidegree_sequence_bang_jensen_94() {
assert!(bang_jensen_94().semidegree_sequence().eq([
(0, 2),
(2, 1),
(1, 4),
(2, 1),
(1, 1),
(2, 0),
(1, 0)
]));
}
#[test]
fn semidegree_sequence_kattis_builddeps() {
assert!(kattis_builddeps().semidegree_sequence().eq([
(0, 2),
(3, 0),
(0, 3),
(2, 1),
(2, 1),
(1, 1)
]));
}
#[test]
fn semidegree_sequence_kattis_cantinaofbabel_1() {
assert!(kattis_cantinaofbabel_1().semidegree_sequence().eq([
(1, 1),
(2, 3),
(2, 1),
(2, 6),
(2, 1),
(2, 1),
(2, 2),
(3, 1),
(0, 2),
(1, 2),
(3, 1),
(2, 1)
]));
}
#[test]
fn semidegree_sequence_kattis_cantinaofbabel_2() {
assert!(kattis_cantinaofbabel_2().semidegree_sequence().eq([
(2, 1),
(1, 2),
(1, 3),
(2, 1),
(1, 1),
(2, 2),
(1, 1),
(3, 1),
(1, 3),
(2, 1),
(1, 2),
(2, 1)
]));
}
#[test]
fn semidegree_sequence_kattis_escapewallmaria_1() {
assert!(kattis_escapewallmaria_1().semidegree_sequence().eq([
(0, 0),
(0, 0),
(0, 0),
(0, 0),
(0, 0),
(2, 2),
(1, 1),
(0, 0),
(0, 0),
(2, 2),
(0, 0),
(0, 0),
(1, 0),
(1, 2),
(0, 0),
(0, 0)
]));
}
#[test]
fn semidegree_sequence_kattis_escapewallmaria_2() {
assert!(kattis_escapewallmaria_2().semidegree_sequence().eq([
(0, 0),
(0, 0),
(0, 0),
(0, 0),
(0, 0),
(2, 2),
(1, 1),
(0, 0),
(0, 0),
(2, 1),
(0, 0),
(0, 0),
(1, 1),
(1, 2),
(0, 0),
(0, 0)
]));
}
#[test]
fn semidegree_sequence_kattis_escapewallmaria_3() {
assert!(kattis_escapewallmaria_3().semidegree_sequence().eq([
(0, 0),
(2, 2),
(2, 2),
(0, 0),
(0, 0),
(3, 3),
(2, 2),
(0, 0),
(0, 0),
(2, 2),
(0, 0),
(0, 0),
(1, 1),
(2, 2),
(0, 0),
(0, 0)
]));
}
};
}