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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::{self, *};
use malachite_base::num::logic::traits::SignificantBits;
use malachite_nz::natural::Natural;
impl PartialOrd<Natural> for Float {
/// Compares a [`Float`] to a [`Natural`].
///
/// NaN is not comparable to any [`Natural`]. $\infty$ is greater than any [`Natural`], and
/// $-\infty$ is less. Both the [`Float`] zero and the [`Float`] negative zero are equal to the
/// [`Natural`] zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::{Infinity, NegativeInfinity};
/// use malachite_float::Float;
/// use malachite_nz::natural::Natural;
///
/// assert!(Float::from(80) < Natural::from(100u32));
/// assert!(Float::INFINITY > Natural::from(100u32));
/// assert!(Float::NEGATIVE_INFINITY < Natural::from(100u32));
/// ```
fn partial_cmp(&self, other: &Natural) -> Option<Ordering> {
match (self, other) {
(float_nan!(), _) => None,
(float_infinity!(), _) => Some(Greater),
(float_negative_infinity!(), _) => Some(Less),
(float_either_zero!(), _) => Some(if *other == 0u32 { Equal } else { Less }),
(
Self(Finite {
sign: s_x,
exponent: e_x,
significand: x,
..
}),
y,
) => Some(if !s_x {
Less
} else if *other == 0u32 {
Greater
} else if *e_x <= 0 {
Less
} else {
u64::from(e_x.unsigned_abs())
.cmp(&other.significant_bits())
.then_with(|| x.cmp_normalized(y))
}),
}
}
}
impl PartialOrd<Float> for Natural {
/// Compares a [`Natural`] to a [`Float`].
///
/// No [`Natural`] is comparable to NaN. Every [`Natural`] is smaller than $\infty$ and greater
/// than $-\infty$. The [`Natural`] zero is equal to both the [`Float`] zero and the [`Float`]
/// negative zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::{Infinity, NegativeInfinity};
/// use malachite_float::Float;
/// use malachite_nz::natural::Natural;
///
/// assert!(Natural::from(100u32) > Float::from(80));
/// assert!(Natural::from(100u32) < Float::INFINITY);
/// assert!(Natural::from(100u32) > Float::NEGATIVE_INFINITY);
/// ```
#[inline]
fn partial_cmp(&self, other: &Float) -> Option<Ordering> {
other.partial_cmp(self).map(Ordering::reverse)
}
}