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// Copyright © 2024 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::arithmetic::traits::{Abs, AbsAssign};
impl Abs for Rational {
type Output = Rational;
/// Takes the absolute value of a [`Rational`], taking the [`Rational`] by value.
///
/// $$
/// f(x) = |x|.
/// $$
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::Abs;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_q::Rational;
///
/// assert_eq!(Rational::ZERO.abs(), 0);
/// assert_eq!(Rational::from_signeds(22, 7).abs().to_string(), "22/7");
/// assert_eq!(Rational::from_signeds(-22, 7).abs().to_string(), "22/7");
/// ```
fn abs(mut self) -> Rational {
self.sign = true;
self
}
}
impl<'a> Abs for &'a Rational {
type Output = Rational;
/// Takes the absolute value of a [`Rational`], taking the [`Rational`] by reference.
///
/// $$
/// f(x) = |x|.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::Abs;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_q::Rational;
///
/// assert_eq!((&Rational::ZERO).abs(), 0);
/// assert_eq!((&Rational::from_signeds(22, 7)).abs().to_string(), "22/7");
/// assert_eq!((&Rational::from_signeds(-22, 7)).abs().to_string(), "22/7");
/// ```
fn abs(self) -> Rational {
Rational {
sign: true,
numerator: self.numerator.clone(),
denominator: self.denominator.clone(),
}
}
}
impl AbsAssign for Rational {
/// Replaces a [`Rational`] with its absolute value.
///
/// $$
/// x \gets |x|.
/// $$
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::AbsAssign;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_q::Rational;
///
/// let mut x = Rational::ZERO;
/// x.abs_assign();
/// assert_eq!(x, 0);
///
/// let mut x = Rational::from_signeds(22, 7);
/// x.abs_assign();
/// assert_eq!(x.to_string(), "22/7");
///
/// let mut x = Rational::from_signeds(-22, 7);
/// x.abs_assign();
/// assert_eq!(x.to_string(), "22/7");
/// ```
fn abs_assign(&mut self) {
self.sign = true;
}
}