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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::Float;
use malachite_base::num::conversion::traits::{IsGaussianInteger, IsInteger};
impl IsGaussianInteger for &Float {
/// Determines whether a [`Float`] is a Gaussian integer.
///
/// A [`Float`] is real (or `NaN` or infinite), so it is a Gaussian integer if and only if it is
/// an integer.
///
/// $f(x) = x \in \Z\[i\]$.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::{Infinity, NaN, One, OneHalf, Zero};
/// use malachite_base::num::conversion::traits::IsGaussianInteger;
/// use malachite_float::Float;
///
/// assert_eq!(Float::ZERO.is_gaussian_integer(), true);
/// assert_eq!(Float::ONE.is_gaussian_integer(), true);
/// assert_eq!(Float::from(-100).is_gaussian_integer(), true);
/// assert_eq!(Float::ONE_HALF.is_gaussian_integer(), false);
/// assert_eq!(Float::NAN.is_gaussian_integer(), false);
/// assert_eq!(Float::INFINITY.is_gaussian_integer(), false);
/// ```
#[inline]
fn is_gaussian_integer(self) -> bool {
self.is_integer()
}
}