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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_integer::GaussianInteger;
use core::mem::swap;
use malachite_base::num::arithmetic::traits::{DivI, DivIAssign, NegAssign};
impl DivI for GaussianInteger {
type Output = Self;
/// Divides a [`GaussianInteger`] by $i$, taking it by value. This is a clockwise quarter turn.
///
/// $$
/// f(a + bi) = (a + bi)/i = b - ai.
/// $$
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivI;
/// use malachite_base::num::basic::traits::I;
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// assert_eq!(GaussianInteger::I.div_i().to_string(), "1");
/// assert_eq!(
/// GaussianInteger::from_str("2-3i")
/// .unwrap()
/// .div_i()
/// .to_string(),
/// "-3-2i"
/// );
/// ```
#[inline]
fn div_i(mut self) -> Self {
self.div_i_assign();
self
}
}
impl DivI for &GaussianInteger {
type Output = GaussianInteger;
/// Divides a [`GaussianInteger`] by $i$, taking it by reference. This is a clockwise quarter
/// turn.
///
/// $$
/// f(a + bi) = (a + bi)/i = b - ai.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the maximum number of significant
/// bits of the real and imaginary parts.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivI;
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// assert_eq!((&x).div_i().to_string(), "-3-2i");
/// ```
#[inline]
fn div_i(self) -> GaussianInteger {
self.clone().div_i()
}
}
impl DivIAssign for GaussianInteger {
/// Divides a [`GaussianInteger`] by $i$ in place. This is a clockwise quarter turn.
///
/// $$
/// a + bi \\gets b - ai.
/// $$
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivIAssign;
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let mut x = GaussianInteger::from_str("2-3i").unwrap();
/// x.div_i_assign();
/// assert_eq!(x.to_string(), "-3-2i");
/// ```
fn div_i_assign(&mut self) {
swap(&mut self.real, &mut self.imaginary);
self.imaginary.neg_assign();
}
}