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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::ops::{Sub, SubAssign};
impl Sub<Self> for GaussianInteger {
type Output = Self;
/// Subtracts two [`GaussianInteger`]s, taking both by value.
///
/// $$
/// f(x, y) = x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// let y = GaussianInteger::from_str("-1+4i").unwrap();
/// assert_eq!((x - y).to_string(), "3-7i");
/// ```
#[inline]
fn sub(mut self, other: Self) -> Self {
self -= other;
self
}
}
impl Sub<&Self> for GaussianInteger {
type Output = Self;
/// Subtracts two [`GaussianInteger`]s, taking the first by value and the second by reference.
///
/// $$
/// f(x, y) = x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// let y = GaussianInteger::from_str("-1+4i").unwrap();
/// assert_eq!((x - &y).to_string(), "3-7i");
/// ```
#[inline]
fn sub(mut self, other: &Self) -> Self {
self -= other;
self
}
}
impl Sub<GaussianInteger> for &GaussianInteger {
type Output = GaussianInteger;
/// Subtracts two [`GaussianInteger`]s, taking the first by reference and the second by value.
///
/// $$
/// f(x, y) = x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// let y = GaussianInteger::from_str("-1+4i").unwrap();
/// assert_eq!((&x - y).to_string(), "3-7i");
/// ```
#[inline]
fn sub(self, other: GaussianInteger) -> GaussianInteger {
GaussianInteger {
real: &self.real - other.real,
imaginary: &self.imaginary - other.imaginary,
}
}
}
impl Sub<&GaussianInteger> for &GaussianInteger {
type Output = GaussianInteger;
/// Subtracts two [`GaussianInteger`]s, taking both by reference.
///
/// $$
/// f(x, y) = x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("1000000000000+i").unwrap();
/// let y = GaussianInteger::from_str("i").unwrap();
/// assert_eq!((&x - &y).to_string(), "1000000000000");
/// ```
#[inline]
fn sub(self, other: &GaussianInteger) -> GaussianInteger {
GaussianInteger {
real: &self.real - &other.real,
imaginary: &self.imaginary - &other.imaginary,
}
}
}
impl SubAssign<Self> for GaussianInteger {
/// Subtracts a [`GaussianInteger`] from a [`GaussianInteger`] in place, taking the
/// [`GaussianInteger`] on the right-hand side by value.
///
/// $$
/// x \gets x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// let y = GaussianInteger::from_str("-1+4i").unwrap();
/// let mut sum = x;
/// sum -= y;
/// assert_eq!(sum.to_string(), "3-7i");
/// ```
#[inline]
fn sub_assign(&mut self, other: Self) {
self.real -= other.real;
self.imaginary -= other.imaginary;
}
}
impl SubAssign<&Self> for GaussianInteger {
/// Subtracts a [`GaussianInteger`] from a [`GaussianInteger`] in place, taking the
/// [`GaussianInteger`] on the right-hand side by reference.
///
/// $$
/// x \gets x - y.
/// $$
///
/// # 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 of `self` and `other`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// let y = GaussianInteger::from_str("-1+4i").unwrap();
/// let mut sum = x;
/// sum -= &y;
/// assert_eq!(sum.to_string(), "3-7i");
/// ```
#[inline]
fn sub_assign(&mut self, other: &Self) {
self.real -= &other.real;
self.imaginary -= &other.imaginary;
}
}