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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::arithmetic::traits::{
Abs, AbsAssign, CanonicalizeGaussianUnit, CanonicalizeGaussianUnitAssign,
};
impl CanonicalizeGaussianUnit for Rational {
type Output = Self;
/// Brings a [`Rational`] into canonical Gaussian-unit form, taking it by value.
///
/// The canonical Gaussian-unit form of a real number is its absolute value. This differs from
/// [`canonicalize_unit`](malachite_base::num::arithmetic::traits::CanonicalizeUnit), which
/// gives 1 for every nonzero [`Rational`], since the rationals form a field.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalizeGaussianUnit;
/// use malachite_q::Rational;
///
/// assert_eq!(
/// Rational::from_signeds(-22, 7).canonicalize_gaussian_unit(),
/// Rational::from_signeds(22, 7)
/// );
/// ```
#[inline]
fn canonicalize_gaussian_unit(self) -> Self {
self.abs()
}
}
impl CanonicalizeGaussianUnit for &Rational {
type Output = Rational;
/// Brings a [`Rational`] into canonical Gaussian-unit form, taking it by reference.
///
/// The canonical Gaussian-unit form of a real number is its absolute value. This differs from
/// [`canonicalize_unit`](malachite_base::num::arithmetic::traits::CanonicalizeUnit), which
/// gives 1 for every nonzero [`Rational`], since the rationals form a field.
///
/// # 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::CanonicalizeGaussianUnit;
/// use malachite_q::Rational;
///
/// assert_eq!(
/// (&Rational::from_signeds(-22, 7)).canonicalize_gaussian_unit(),
/// Rational::from_signeds(22, 7)
/// );
/// ```
#[inline]
fn canonicalize_gaussian_unit(self) -> Rational {
self.abs()
}
}
impl CanonicalizeGaussianUnitAssign for Rational {
/// Replaces a [`Rational`] with its canonical Gaussian-unit form: its absolute value.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalizeGaussianUnitAssign;
/// use malachite_q::Rational;
///
/// let mut x = Rational::from_signeds(-22, 7);
/// x.canonicalize_gaussian_unit_assign();
/// assert_eq!(x, Rational::from_signeds(22, 7));
/// ```
#[inline]
fn canonicalize_gaussian_unit_assign(&mut self) {
self.abs_assign();
}
}