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// Copyright © 2024 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::comparison::traits::PartialOrdAbs;
use malachite_base::num::logic::traits::SignificantBits;
use malachite_nz::integer::Integer;
impl PartialOrdAbs<Integer> for Float {
/// Compares the absolute values of a [`Float`] and an [`Integer`].
///
/// NaN is not comparable to any [`Integer`]. Infinity and negative infinity are greater in
/// absolute value than any [`Integer`]. Both the [`Float`] zero and the [`Float`] negative zero
/// are equal to the [`Integer`] 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_base::num::comparison::traits::PartialOrdAbs;
/// use malachite_float::Float;
/// use malachite_nz::integer::Integer;
///
/// assert!(Float::from(80).lt_abs(&Integer::from(100)));
/// assert!(Float::from(-80).lt_abs(&Integer::from(-100)));
/// assert!(Float::INFINITY.gt_abs(&Integer::from(100)));
/// assert!(Float::NEGATIVE_INFINITY.gt_abs(&Integer::from(-100)));
/// ```
fn partial_cmp_abs(&self, other: &Integer) -> Option<Ordering> {
match (self, other) {
(float_nan!(), _) => None,
(Float(Infinity { .. }), _) => Some(Greater),
(float_either_zero!(), y) => Some(if *y == 0 { Equal } else { Less }),
(
Float(Finite {
exponent: e_x,
significand: x,
..
}),
y,
) => Some(if *other == 0 {
Greater
} else if *e_x <= 0 {
Less
} else {
e_x.unsigned_abs()
.cmp(&other.significant_bits())
.then_with(|| x.cmp_normalized(y.unsigned_abs_ref()))
}),
}
}
}
impl PartialOrdAbs<Float> for Integer {
/// Compares the absolute values of an [`Integer`] and a [`Float`].
///
/// No [`Integer`] is comparable to NaN. Every [`Integer`] is smaller in absolute value than
/// infinity and negative infinity. The [`Integer`] 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_base::num::comparison::traits::PartialOrdAbs;
/// use malachite_float::Float;
/// use malachite_nz::integer::Integer;
///
/// assert!(Integer::from(100).gt_abs(&Float::from(80)));
/// assert!(Integer::from(100).lt_abs(&Float::INFINITY));
/// assert!(Integer::from(-100).lt_abs(&Float::INFINITY));
/// assert!(Integer::from(-100).lt_abs(&Float::NEGATIVE_INFINITY));
/// ```
#[inline]
fn partial_cmp_abs(&self, other: &Float) -> Option<Ordering> {
other.partial_cmp_abs(self).map(Ordering::reverse)
}
}