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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_base::num::comparison::traits::EqAbs;
use malachite_nz::natural::Natural;
impl EqAbs<Natural> for Rational {
/// Determines whether the absolute values of a [`Rational`] and a [`Natural`] are equal.
///
/// # 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_base::num::comparison::traits::EqAbs;
/// use malachite_nz::natural::Natural;
/// use malachite_q::Rational;
///
/// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(122u32)), false);
/// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(124u32)), false);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(-22, 7).eq_abs(&Natural::from(123u32)),
/// false
/// );
/// assert_eq!(Rational::from(123).eq_abs(&Natural::from(123u32)), true);
/// assert_eq!(Rational::from(-123).eq_abs(&Natural::from(123u32)), true);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Natural::from(123u32)),
/// false
/// );
/// ```
#[inline]
fn eq_abs(&self, other: &Natural) -> bool {
self.denominator == 1 && self.numerator == *other
}
}
impl EqAbs<Rational> for Natural {
/// Determines whether the absolute values of a [`Rational`] and a [`Natural`] are equal.
///
/// # 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_base::num::comparison::traits::EqAbs;
/// use malachite_nz::natural::Natural;
/// use malachite_q::Rational;
///
/// assert_eq!(Natural::from(122u32).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(Natural::from(124u32).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(
/// Natural::from(124u32).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Natural::from(124u32).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// assert_eq!(Natural::from(123u32).eq_abs(&Rational::from(123)), true);
/// assert_eq!(Natural::from(123u32).eq_abs(&Rational::from(-123)), true);
/// assert_eq!(
/// Natural::from(123u32).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Natural::from(123u32).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// ```
#[inline]
fn eq_abs(&self, other: &Rational) -> bool {
other.denominator == 1 && other.numerator == *self
}
}