malachite_nz/integer/comparison/
cmp_abs_natural.rs

1// Copyright © 2025 Mikhail Hogrefe
2//
3// This file is part of Malachite.
4//
5// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
6// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
7// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
8
9use crate::integer::Integer;
10use crate::natural::Natural;
11use core::cmp::Ordering;
12use malachite_base::num::comparison::traits::PartialOrdAbs;
13
14impl PartialOrdAbs<Natural> for Integer {
15    /// Compares the absolute values of an [`Integer`] and a [`Natural`].
16    ///
17    /// # Worst-case complexity
18    /// $T(n) = O(n)$
19    ///
20    /// $M(n) = O(1)$
21    ///
22    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
23    /// other.significant_bits())`.
24    ///
25    /// # Examples
26    /// ```
27    /// use malachite_base::num::comparison::traits::PartialOrdAbs;
28    /// use malachite_nz::integer::Integer;
29    /// use malachite_nz::natural::Natural;
30    ///
31    /// assert!(Integer::from(123).gt_abs(&Natural::from(122u32)));
32    /// assert!(Integer::from(123).ge_abs(&Natural::from(122u32)));
33    /// assert!(Integer::from(123).lt_abs(&Natural::from(124u32)));
34    /// assert!(Integer::from(123).le_abs(&Natural::from(124u32)));
35    /// assert!(Integer::from(-124).gt_abs(&Natural::from(123u32)));
36    /// assert!(Integer::from(-124).ge_abs(&Natural::from(123u32)));
37    /// ```
38    #[inline]
39    fn partial_cmp_abs(&self, other: &Natural) -> Option<Ordering> {
40        self.abs.partial_cmp(other)
41    }
42}
43
44impl PartialOrdAbs<Integer> for Natural {
45    /// Compares the absolute values of a [`Natural`] and an [`Integer`].
46    ///
47    /// # Worst-case complexity
48    /// $T(n) = O(n)$
49    ///
50    /// $M(n) = O(1)$
51    ///
52    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
53    /// other.significant_bits())`.
54    ///
55    /// # Examples
56    /// ```
57    /// use malachite_base::num::comparison::traits::PartialOrdAbs;
58    /// use malachite_nz::integer::Integer;
59    /// use malachite_nz::natural::Natural;
60    ///
61    /// assert!(Natural::from(123u32).gt_abs(&Integer::from(122)));
62    /// assert!(Natural::from(123u32).ge_abs(&Integer::from(122)));
63    /// assert!(Natural::from(123u32).lt_abs(&Integer::from(124)));
64    /// assert!(Natural::from(123u32).le_abs(&Integer::from(124)));
65    /// assert!(Natural::from(123u32).lt_abs(&Integer::from(-124)));
66    /// assert!(Natural::from(123u32).le_abs(&Integer::from(-124)));
67    /// ```
68    #[inline]
69    fn partial_cmp_abs(&self, other: &Integer) -> Option<Ordering> {
70        self.partial_cmp(&other.abs)
71    }
72}
malachite_nz/integer/comparison/cmp_abs_natural.rs

malachite_nz/integer/comparison/
cmp_abs_natural.rs
