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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::integer::Integer;
use core::cmp::Ordering;
use malachite_base::num::comparison::traits::{
OrdAbs, OrdAbsDouble, OrdDouble, PartialOrdAbs, PartialOrdAbsDouble,
};
impl PartialOrdAbs for Integer {
/// Compares the absolute values of two [`Integer`]s.
///
/// See the documentation for the [`OrdAbs`] implementation.
#[inline]
fn partial_cmp_abs(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp_abs(other))
}
}
impl OrdAbs for Integer {
/// Compares the absolute values of two [`Integer`]s.
///
/// # 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::comparison::traits::PartialOrdAbs;
/// use malachite_nz::integer::Integer;
///
/// assert!(Integer::from(-123).lt_abs(&Integer::from(-124)));
/// assert!(Integer::from(-123).le_abs(&Integer::from(-124)));
/// assert!(Integer::from(-124).gt_abs(&Integer::from(-123)));
/// assert!(Integer::from(-124).ge_abs(&Integer::from(-123)));
/// ```
#[inline]
fn cmp_abs(&self, other: &Self) -> Ordering {
self.abs.cmp(&other.abs)
}
}
impl OrdAbsDouble for Integer {
/// Compares the absolute value of an [`Integer`] with twice the absolute value of another
/// [`Integer`].
///
/// The doubling is not actually performed, so no memory is allocated. This is the shape of a
/// round-to-nearest decision, where a remainder is weighed against half a divisor.
///
/// $$
/// f(x, y) = \operatorname{cmp}(|x|, 2|y|).
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::Two;
/// use malachite_base::num::comparison::traits::OrdAbsDouble;
/// use malachite_nz::integer::Integer;
/// use std::cmp::Ordering::*;
///
/// assert_eq!(Integer::from(4).cmp_abs_double(&Integer::TWO), Equal);
/// assert_eq!(Integer::from(-4).cmp_abs_double(&Integer::from(-2)), Equal);
/// assert_eq!(Integer::from(3).cmp_abs_double(&Integer::from(-2)), Less);
/// assert_eq!(Integer::from(-5).cmp_abs_double(&Integer::TWO), Greater);
/// ```
#[inline]
fn cmp_abs_double(&self, other: &Self) -> Ordering {
self.unsigned_abs_ref().cmp_double(other.unsigned_abs_ref())
}
}
impl PartialOrdAbsDouble for Integer {
/// Compares the absolute value of an [`Integer`] with twice the absolute value of another
/// [`Integer`].
///
/// See the documentation for the [`OrdAbsDouble`] implementation.
#[inline]
fn partial_cmp_abs_double(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp_abs_double(other))
}
}