malachite_q/comparison/partial_eq_integer.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_nz::integer::Integer;
11
12impl PartialEq<Integer> for Rational {
13 /// Determines whether a [`Rational`] is equal to an [`Integer`].
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_nz::integer::Integer;
26 /// use malachite_q::Rational;
27 ///
28 /// assert!(Rational::from(-123) == Integer::from(-123));
29 /// assert!(Rational::from_signeds(22, 7) != Integer::from(5));
30 /// ```
31 fn eq(&self, other: &Integer) -> bool {
32 self.sign == (*other >= 0)
33 && self.denominator == 1
34 && self.numerator == *other.unsigned_abs_ref()
35 }
36}
37
38impl PartialEq<Rational> for Integer {
39 /// Determines whether an [`Integer`] is equal to a [`Rational`].
40 ///
41 /// # Worst-case complexity
42 /// $T(n) = O(n)$
43 ///
44 /// $M(n) = O(1)$
45 ///
46 /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
47 /// other.significant_bits())`.
48 ///
49 /// # Examples
50 /// ```
51 /// use malachite_nz::integer::Integer;
52 /// use malachite_q::Rational;
53 ///
54 /// assert!(Integer::from(-123) == Rational::from(-123));
55 /// assert!(Integer::from(5) != Rational::from_signeds(22, 7));
56 /// ```
57 fn eq(&self, other: &Rational) -> bool {
58 other.sign == (*self >= 0)
59 && other.denominator == 1
60 && *self.unsigned_abs_ref() == other.numerator
61 }
62}