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//! Generate a digraph's converse.
//!
//! A digraph's converse is the digraph with all arcs reversed.
//!
//! # Examples
//!
//! ```
//! use graaf::{
//! AdjacencyList,
//! Arcs,
//! Circuit,
//! Converse,
//! };
//!
//! let digraph = AdjacencyList::circuit(4);
//! let converse = digraph.converse();
//!
//! assert!(converse.arcs().eq([(0, 3), (1, 0), (2, 1), (3, 2)]));
//! ```
/// Digraph converse
pub trait Converse {
/// Generate a digraph's converse.
///
/// # Examples
///
/// ```
/// use graaf::{
/// AdjacencyList,
/// Arcs,
/// Circuit,
/// Converse,
/// };
///
/// let digraph = AdjacencyList::circuit(4);
/// let converse = digraph.converse();
///
/// assert!(converse.arcs().eq([(0, 3), (1, 0), (2, 1), (3, 2)]));
/// ```
#[must_use]
fn converse(&self) -> Self;
}
/// `Converse` tests
#[macro_export]
macro_rules! test_converse {
($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 converse_bang_jensen_196() {
let digraph = bang_jensen_196();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(0, 1),
(1, 0),
(2, 1),
(2, 3),
(2, 4),
(3, 2),
(4, 0),
(4, 3),
(5, 7),
(6, 5),
(7, 0),
(7, 1),
(7, 6),
]));
}
#[test]
fn converse_bang_jensen_34() {
let digraph = bang_jensen_34();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(0, 1),
(1, 2),
(3, 2),
(4, 0),
(4, 5),
(5, 2)
]));
}
#[test]
fn converse_bang_jensen_94() {
let digraph = bang_jensen_94();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(1, 0),
(1, 2),
(2, 0),
(3, 1),
(3, 2),
(4, 2),
(5, 2),
(5, 3),
(6, 4)
]));
}
#[test]
fn converse_kattis_builddeps() {
let digraph = kattis_builddeps();
let converse = digraph.converse();
assert!(converse.arcs().eq([
(1, 3),
(1, 4),
(1, 5),
(3, 0),
(3, 2),
(4, 0),
(4, 2),
(5, 2)
]));
}
#[test]
fn converse_kattis_cantinaofbabel_1() {
let digraph = kattis_cantinaofbabel_1();
let converse = digraph.converse();
assert!(converse.arcs().eq([
(0, 1),
(1, 0),
(1, 2),
(2, 1),
(2, 3),
(3, 4),
(3, 7),
(4, 1),
(4, 3),
(5, 3),
(5, 6),
(6, 5),
(6, 10),
(7, 3),
(7, 8),
(7, 9),
(9, 11),
(10, 3),
(10, 6),
(10, 8),
(11, 3),
(11, 9)
]));
}
#[test]
fn converse_kattis_cantinaofbabel_2() {
let digraph = kattis_cantinaofbabel_2();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(0, 1),
(0, 2),
(1, 0),
(2, 7),
(3, 4),
(3, 5),
(4, 3),
(5, 2),
(5, 6),
(6, 5),
(7, 1),
(7, 2),
(7, 8),
(8, 9),
(9, 8),
(9, 10),
(10, 11),
(11, 8),
(11, 10)
]));
}
#[test]
fn converse_kattis_escapewallmaria_1() {
let digraph = kattis_escapewallmaria_1();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(5, 6),
(5, 9),
(6, 5),
(9, 5),
(9, 13),
(12, 13),
(13, 9)
]));
}
#[test]
fn converse_kattis_escapewallmaria_2() {
let digraph = kattis_escapewallmaria_2();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(5, 6),
(5, 9),
(6, 5),
(9, 5),
(9, 13),
(12, 13),
(13, 12)
]));
}
#[test]
fn converse_kattis_escapewallmaria_3() {
let digraph = kattis_escapewallmaria_3();
let converse = digraph.converse();
assert_eq!(digraph.order(), converse.order());
assert!(converse.arcs().eq([
(1, 2),
(1, 5),
(2, 1),
(2, 6),
(5, 1),
(5, 6),
(5, 9),
(6, 2),
(6, 5),
(9, 5),
(9, 13),
(12, 13),
(13, 9),
(13, 12)
]));
}
};
}