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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 crate::InnerFloat::{Finite, Infinity, NaN, Zero};
use core::cmp::Ordering::*;
use malachite_base::num::basic::floats::PrimitiveFloat;
use malachite_base::num::comparison::traits::EqAbs;
use malachite_nz::natural::Natural;
fn float_eq_abs_primitive_float<T: PrimitiveFloat>(x: &Float, y: &T) -> bool {
match x {
float_nan!() => false,
float_either_infinity!() => *y == T::INFINITY || *y == T::NEGATIVE_INFINITY,
float_either_zero!() => *y == T::ZERO,
Float(Finite {
exponent,
significand,
..
}) => {
y.is_finite()
&& *y != T::ZERO
&& i64::from(*exponent - 1) == y.sci_exponent()
&& significand.cmp_normalized(&Natural::from(y.integer_mantissa())) == Equal
}
}
}
macro_rules! impl_eq_abs_primitive_float {
($t: ident) => {
impl EqAbs<$t> for Float {
/// Determines whether the absolute value of a [`Float`] is equal to the absolute value
/// of a primitive float.
///
/// The [`Float`] $\infty$ is equal to the primitive float $\infty$, and the [`Float`]
/// $-\infty$ is equal to the primitive float $-\infty$. The [`Float`] NaN is not equal
/// to anything, not even the primitive float NaN. Every [`Float`] zero is equal to
/// every primitive float zero, regardless of sign.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is
/// `max(self.significant_bits(), other.sci_exponent().abs())`.
///
/// # Examples
/// See [here](super::eq_abs_primitive_float#eq_abs).
#[inline]
fn eq_abs(&self, other: &$t) -> bool {
float_eq_abs_primitive_float(self, other)
}
}
impl EqAbs<Float> for $t {
/// Determines whether a primitive float is equal to a [`Float`].
///
/// The primitive float $\infty$ is equal to the [`Float`] $\infty$, and the primitive
/// float $-\infty$ is equal to the [`Float`] $-\infty$. The primitive float NaN is not
/// equal to anything, not even the [`Float`] NaN. Every primitive float zero is equal
/// to every [`Float`] zero, regardless of sign.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is
/// `max(self.significant_bits(), other.sci_exponent().abs())`.
///
/// # Examples
/// See [here](super::eq_abs_primitive_float#eq_abs).
#[inline]
fn eq_abs(&self, other: &Float) -> bool {
other.eq_abs(self)
}
}
};
}
apply_to_primitive_floats!(impl_eq_abs_primitive_float);