malachite_q/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::Rational;
10use malachite_base::num::comparison::traits::EqAbs;
11
12impl EqAbs for Rational {
13    /// Determines whether the absolute values of two [`Rational`]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_q::Rational;
27    ///
28    /// assert_eq!(
29    ///     Rational::from_signeds(-22, 7).eq_abs(&Rational::from_signeds(-23, 7)),
30    ///     false
31    /// );
32    /// assert_eq!(
33    ///     Rational::from_signeds(-22, 7).eq_abs(&Rational::from_signeds(-24, 7)),
34    ///     false
35    /// );
36    /// assert_eq!(
37    ///     Rational::from_signeds(22, 7).eq_abs(&Rational::from_signeds(22, 7)),
38    ///     true
39    /// );
40    /// assert_eq!(
41    ///     Rational::from_signeds(22, 7).eq_abs(&Rational::from_signeds(-22, 7)),
42    ///     true
43    /// );
44    /// assert_eq!(
45    ///     Rational::from_signeds(-22, 7).eq_abs(&Rational::from_signeds(22, 7)),
46    ///     true
47    /// );
48    /// assert_eq!(
49    ///     Rational::from_signeds(-22, 7).eq_abs(&Rational::from_signeds(-22, 7)),
50    ///     true
51    /// );
52    /// ```
53    #[inline]
54    fn eq_abs(&self, other: &Self) -> bool {
55        self.numerator == other.numerator && self.denominator == other.denominator
56    }
57}