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// Copyright © 2026 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
use crate::Rational;
use malachite_nz::natural::Natural;
impl PartialEq<Natural> for Rational {
/// Determines whether a [`Rational`] is equal to a [`Natural`].
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_nz::natural::Natural;
/// use malachite_q::Rational;
///
/// assert!(Rational::from(123) == Natural::from(123u32));
/// assert!(Rational::from_signeds(22, 7) != Natural::from(5u32));
/// ```
fn eq(&self, other: &Natural) -> bool {
self.sign && self.denominator == 1 && self.numerator == *other
}
}
impl PartialEq<Rational> for Natural {
/// Determines whether a [`Natural`] is equal to a [`Rational`].
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_nz::natural::Natural;
/// use malachite_q::Rational;
///
/// assert!(Natural::from(123u32) == Rational::from(123));
/// assert!(Natural::from(5u32) != Rational::from_signeds(22, 7));
/// ```
fn eq(&self, other: &Rational) -> bool {
other.sign && other.denominator == 1 && *self == other.numerator
}
}