malachite_float/float/comparison/
partial_eq_gaussian_integer.rs

1// Copyright © 2026 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::Float;
10use malachite_nz::gaussian_integer::GaussianInteger;
11
12impl PartialEq<GaussianInteger> for Float {
13    /// Determines whether a [`Float`] is equal to a [`GaussianInteger`].
14    ///
15    /// $\infty$, $-\infty$, and NaN are not equal to any [`GaussianInteger`]. Both the [`Float`]
16    /// zero and the [`Float`] negative zero are equal to the [`GaussianInteger`] zero.
17    ///
18    /// # Worst-case complexity
19    /// $T(n) = O(n)$
20    ///
21    /// $M(n) = O(1)$
22    ///
23    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
24    /// other.real.significant_bits())`.
25    ///
26    /// # Examples
27    /// ```
28    /// use malachite_float::Float;
29    /// use malachite_nz::gaussian_integer::GaussianInteger;
30    /// use std::str::FromStr;
31    ///
32    /// assert!(Float::from(123) == GaussianInteger::from(123));
33    /// assert!(Float::from(-123) == GaussianInteger::from(-123));
34    /// assert!(Float::from(123) != GaussianInteger::from_str("123+i").unwrap());
35    /// ```
36    fn eq(&self, other: &GaussianInteger) -> bool {
37        other.imaginary == 0u32 && *self == other.real
38    }
39}
40
41impl PartialEq<Float> for GaussianInteger {
42    /// Determines whether a [`GaussianInteger`] is equal to a [`Float`].
43    ///
44    /// No [`GaussianInteger`] is equal to $\infty$, $-\infty$, or NaN. The [`GaussianInteger`] zero
45    /// is equal to both the [`Float`] zero and the [`Float`] negative zero.
46    ///
47    /// # Worst-case complexity
48    /// $T(n) = O(n)$
49    ///
50    /// $M(n) = O(1)$
51    ///
52    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.real.significant_bits(),
53    /// other.significant_bits())`.
54    ///
55    /// # Examples
56    /// ```
57    /// use malachite_float::Float;
58    /// use malachite_nz::gaussian_integer::GaussianInteger;
59    /// use std::str::FromStr;
60    ///
61    /// assert!(GaussianInteger::from(123) == Float::from(123));
62    /// assert!(GaussianInteger::from(-123) == Float::from(-123));
63    /// assert!(GaussianInteger::from_str("123+i").unwrap() != Float::from(123));
64    /// ```
65    fn eq(&self, other: &Float) -> bool {
66        self.imaginary == 0u32 && self.real == *other
67    }
68}
malachite_float/float/comparison/partial_eq_gaussian_integer.rs

malachite_float/float/comparison/
partial_eq_gaussian_integer.rs
