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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::Rational;
use crate::gaussian_rational::GaussianRational;
use malachite_base::num::arithmetic::traits::AbsSquared;
use malachite_base::num::comparison::traits::{EqAbs, PartialOrdAbs};
macro_rules! impl_float {
($t: ident) => {
impl EqAbs<$t> for GaussianRational {
/// Determines whether the absolute values of a [`GaussianRational`] and a primitive
/// float are equal.
///
/// No [`GaussianRational`] is equal in absolute value to an infinity or NaN.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// 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`.
///
/// # Examples
/// See [here](super::eq_abs_primitive_float#eq_abs).
fn eq_abs(&self, other: &$t) -> bool {
if self.imaginary == 0u32 {
self.real.eq_abs(other)
} else if self.real == 0u32 {
self.imaginary.eq_abs(other)
} else if !self.real.lt_abs(other) || !self.imaginary.lt_abs(other) {
false
} else if let Ok(y) = Rational::try_from(*other) {
self.abs_squared() == y.abs_squared()
} else {
false
}
}
}
impl EqAbs<GaussianRational> for $t {
/// Determines whether the absolute values of a primitive float and a
/// [`GaussianRational`] are equal.
///
/// No infinity or NaN is equal in absolute value to a [`GaussianRational`].
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the maximum number of
/// significant bits of the real and imaginary parts of `other`.
///
/// # Examples
/// See [here](super::eq_abs_primitive_float#eq_abs).
#[inline]
fn eq_abs(&self, other: &GaussianRational) -> bool {
other.eq_abs(self)
}
}
};
}
apply_to_primitive_floats!(impl_float);