malachite_nz/integer/comparison/eq_abs.rs
1// Copyright © 2025 Mikhail Hogrefe
2//
3// This file is part of Malachite.
4//
5// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
6// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
7// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
8
9use crate::integer::Integer;
10use malachite_base::num::comparison::traits::EqAbs;
11
12impl EqAbs for Integer {
13 /// Determines whether the absolute values of two [`Integer`]s are equal.
14 ///
15 /// # Worst-case complexity
16 /// $T(n) = O(n)$
17 ///
18 /// $M(n) = O(1)$
19 ///
20 /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
21 /// other.significant_bits())`.
22 ///
23 /// # Examples
24 /// ```
25 /// use malachite_base::num::comparison::traits::EqAbs;
26 /// use malachite_nz::integer::Integer;
27 ///
28 /// assert_eq!(Integer::from(-123).eq_abs(&Integer::from(-122)), false);
29 /// assert_eq!(Integer::from(-123).eq_abs(&Integer::from(-124)), false);
30 /// assert_eq!(Integer::from(123).eq_abs(&Integer::from(123)), true);
31 /// assert_eq!(Integer::from(123).eq_abs(&Integer::from(-123)), true);
32 /// assert_eq!(Integer::from(-123).eq_abs(&Integer::from(123)), true);
33 /// assert_eq!(Integer::from(-123).eq_abs(&Integer::from(-123)), true);
34 /// ```
35 #[inline]
36 fn eq_abs(&self, other: &Self) -> bool {
37 self.abs == other.abs
38 }
39}