malachite-nz 0.13.0

The bignum types Natural and Integer, with efficient algorithms partially derived from GMP and FLINT.
Documentation 
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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 crate::integer::Integer;
use malachite_base::num::arithmetic::traits::DivExact;

// Schoolbook: (a + bi) / (c + di) = ((ac + bd) + (bc - ad)i) / (c^2 + d^2), with exact integer
// divisions.
pub fn gaussian_integer_div_exact_naive(
    x: &GaussianInteger,
    y: &GaussianInteger,
) -> GaussianInteger {
    assert!(y.real != 0u32 || y.imaginary != 0u32, "division by zero");
    let norm: Integer = &y.real * &y.real + &y.imaginary * &y.imaginary;
    GaussianInteger {
        real: (&x.real * &y.real + &x.imaginary * &y.imaginary).div_exact(&norm),
        imaginary: (&x.imaginary * &y.real - &x.real * &y.imaginary).div_exact(norm),
    }
}