malachite_q/comparison/
eq_abs_natural.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;
11use malachite_nz::natural::Natural;
12
13impl EqAbs<Natural> for Rational {
14    /// Determines whether the absolute values of a [`Rational`] and a [`Natural`] are equal.
15    ///
16    /// # Worst-case complexity
17    /// $T(n) = O(n)$
18    ///
19    /// $M(n) = O(1)$
20    ///
21    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
22    /// other.significant_bits())`.
23    ///
24    /// # Examples
25    /// ```
26    /// use malachite_base::num::comparison::traits::EqAbs;
27    /// use malachite_nz::natural::Natural;
28    /// use malachite_q::Rational;
29    ///
30    /// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(122u32)), false);
31    /// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(124u32)), false);
32    /// assert_eq!(
33    ///     Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
34    ///     false
35    /// );
36    /// assert_eq!(
37    ///     Rational::from_signeds(-22, 7).eq_abs(&Natural::from(123u32)),
38    ///     false
39    /// );
40    /// assert_eq!(Rational::from(123).eq_abs(&Natural::from(123u32)), true);
41    /// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(123u32)), true);
42    /// assert_eq!(
43    ///     Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
44    ///     false
45    /// );
46    /// assert_eq!(
47    ///     Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
48    ///     false
49    /// );
50    /// ```
51    #[inline]
52    fn eq_abs(&self, other: &Natural) -> bool {
53        self.denominator == 1 && self.numerator == *other
54    }
55}
56
57impl EqAbs<Rational> for Natural {
58    /// Determines whether the absolute values of a [`Rational`] and a [`Natural`] are equal.
59    ///
60    /// # Worst-case complexity
61    /// $T(n) = O(n)$
62    ///
63    /// $M(n) = O(1)$
64    ///
65    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
66    /// other.significant_bits())`.
67    ///
68    /// # Examples
69    /// ```
70    /// use malachite_base::num::comparison::traits::EqAbs;
71    /// use malachite_nz::natural::Natural;
72    /// use malachite_q::Rational;
73    ///
74    /// assert_eq!(Natural::from(122u32).eq_abs(&Rational::from(-123)), false);
75    /// assert_eq!(Natural::from(124u32).eq_abs(&Rational::from(-123)), false);
76    /// assert_eq!(
77    ///     Natural::from(124u32).eq_abs(&Rational::from_signeds(22, 7)),
78    ///     false
79    /// );
80    /// assert_eq!(
81    ///     Natural::from(124u32).eq_abs(&Rational::from_signeds(-22, 7)),
82    ///     false
83    /// );
84    /// assert_eq!(Natural::from(123u32).eq_abs(&Rational::from(123)), true);
85    /// assert_eq!(Natural::from(123u32).eq_abs(&Rational::from(-123)), true);
86    /// assert_eq!(
87    ///     Natural::from(123u32).eq_abs(&Rational::from_signeds(22, 7)),
88    ///     false
89    /// );
90    /// assert_eq!(
91    ///     Natural::from(123u32).eq_abs(&Rational::from_signeds(-22, 7)),
92    ///     false
93    /// );
94    /// ```
95    #[inline]
96    fn eq_abs(&self, other: &Rational) -> bool {
97        other.denominator == 1 && other.numerator == *self
98    }
99}
malachite_q/comparison/eq_abs_natural.rs

malachite_q/comparison/
eq_abs_natural.rs
