// 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::CanonicalUnitIPow;
impl CanonicalUnitIPow for Rational {
/// Finds the power of $i$ that brings a [`Rational`] into canonical Gaussian-unit form. The
/// canonical unit form of a [`Rational`] is its absolute value, so this is 2 for negative
/// values, since $x i^2 = -x$, and 0 otherwise.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::CanonicalUnitIPow;
/// use malachite_q::Rational;
///
/// assert_eq!(Rational::from_signeds(22, 7).canonical_unit_i_pow(), 0);
/// assert_eq!(Rational::from_signeds(-22, 7).canonical_unit_i_pow(), 2);
/// ```
#[inline]
fn canonical_unit_i_pow(&self) -> u64 {
if *self < 0u32 { 2 } else { 0 }
}
}