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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::gaussian_rational::GaussianRational;
use malachite_base::num::arithmetic::traits::{CanonicalizeUnit, CanonicalizeUnitAssign};
use malachite_base::num::basic::traits::{One, Zero};
impl CanonicalizeUnit for GaussianRational {
type Output = Self;
/// Brings a [`GaussianRational`] into canonical unit form, taking it by value.
///
/// The Gaussian rationals form a field, so every nonzero [`GaussianRational`] is a unit and its
/// canonical associate is 1. Zero is its own canonical associate.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalizeUnit;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_q::gaussian_rational::GaussianRational;
/// use std::str::FromStr;
///
/// assert_eq!(
/// GaussianRational::from_str("-1+2i")
/// .unwrap()
/// .canonicalize_unit()
/// .to_string(),
/// "1"
/// );
/// assert_eq!(
/// GaussianRational::ZERO.canonicalize_unit(),
/// GaussianRational::ZERO
/// );
/// ```
#[inline]
fn canonicalize_unit(mut self) -> Self {
self.canonicalize_unit_assign();
self
}
}
impl CanonicalizeUnit for &GaussianRational {
type Output = GaussianRational;
/// Brings a [`GaussianRational`] into canonical unit form, taking it by reference.
///
/// The Gaussian rationals form a field, so every nonzero [`GaussianRational`] is a unit and its
/// canonical associate is 1. Zero is its own canonical associate.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalizeUnit;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_q::gaussian_rational::GaussianRational;
/// use std::str::FromStr;
///
/// assert_eq!(
/// (&GaussianRational::from_str("-1+2i").unwrap())
/// .canonicalize_unit()
/// .to_string(),
/// "1"
/// );
/// assert_eq!(
/// (&GaussianRational::ZERO).canonicalize_unit(),
/// GaussianRational::ZERO
/// );
/// ```
#[inline]
fn canonicalize_unit(self) -> GaussianRational {
if *self == 0u32 {
GaussianRational::ZERO
} else {
GaussianRational::ONE
}
}
}
impl CanonicalizeUnitAssign for GaussianRational {
/// Replaces a [`GaussianRational`] with its canonical unit form.
///
/// The Gaussian rationals form a field, so every nonzero [`GaussianRational`] is a unit and its
/// canonical associate is 1. Zero is its own canonical associate.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalizeUnitAssign;
/// use malachite_q::gaussian_rational::GaussianRational;
/// use std::str::FromStr;
///
/// let mut x = GaussianRational::from_str("-1+2i").unwrap();
/// x.canonicalize_unit_assign();
/// assert_eq!(x.to_string(), "1");
/// ```
#[inline]
fn canonicalize_unit_assign(&mut self) {
if *self != 0u32 {
*self = Self::ONE;
}
}
}