malachite_nz/integer/comparison/
partial_cmp_abs_primitive_float.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 core::cmp::Ordering;
11use malachite_base::num::arithmetic::traits::UnsignedAbs;
12use malachite_base::num::comparison::traits::PartialOrdAbs;
13
14macro_rules! impl_float {
15    ($t: ident) => {
16        impl PartialOrdAbs<$t> for Integer {
17            /// Compares the absolute values of an [`Integer`] and a primitive float.
18            ///
19            /// # Worst-case complexity
20            /// $T(n) = O(n)$
21            ///
22            /// $M(n) = O(1)$
23            ///
24            /// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
25            ///
26            /// # Examples
27            /// See [here](super::partial_cmp_abs_primitive_float#partial_cmp_abs).
28            fn partial_cmp_abs(&self, other: &$t) -> Option<Ordering> {
29                self.unsigned_abs().partial_cmp(&other.abs())
30            }
31        }
32
33        impl PartialOrdAbs<Integer> for $t {
34            /// Compares the absolute values of a primitive float and an [`Integer`].
35            ///
36            /// # Worst-case complexity
37            /// $T(n) = O(n)$
38            ///
39            /// $M(n) = O(1)$
40            ///
41            /// where $T$ is time, $M$ is additional memory, and $n$ is `other.significant_bits()`.
42            ///
43            /// See [here](super::partial_cmp_abs_primitive_float#partial_cmp_abs).
44            #[inline]
45            fn partial_cmp_abs(&self, other: &Integer) -> Option<Ordering> {
46                other.partial_cmp_abs(self).map(Ordering::reverse)
47            }
48        }
49    };
50}
51apply_to_primitive_floats!(impl_float);