malachite_float/comparison/
partial_eq_integer.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::Float;
10use crate::InnerFloat::{Finite, Zero};
11use core::cmp::Ordering::*;
12use malachite_base::num::logic::traits::SignificantBits;
13use malachite_nz::integer::Integer;
14
15impl PartialEq<Integer> for Float {
16    /// Determines whether a [`Float`] is equal to an [`Integer`].
17    ///
18    /// $\infty$, $-\infty$, and NaN are not equal to any [`Integer`]. Both the [`Float`] zero and
19    /// the [`Float`] negative zero are equal to the [`Integer`] zero.
20    ///
21    /// # Worst-case complexity
22    /// $T(n) = O(n)$
23    ///
24    /// $M(n) = O(1)$
25    ///
26    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
27    /// other.significant_bits())`.
28    ///
29    /// # Examples
30    /// ```
31    /// use malachite_base::num::basic::traits::{One, OneHalf};
32    /// use malachite_float::Float;
33    /// use malachite_nz::integer::Integer;
34    ///
35    /// assert!(Float::from(123) == Integer::from(123));
36    /// assert!(Float::from(-123) == Integer::from(-123));
37    /// assert!(Float::ONE_HALF != Integer::ONE);
38    /// ```
39    fn eq(&self, other: &Integer) -> bool {
40        match self {
41            float_either_zero!() => *other == 0u32,
42            Self(Finite {
43                sign,
44                exponent,
45                significand,
46                ..
47            }) => {
48                *other != 0u32
49                    && *sign == (*other >= 0u32)
50                    && *exponent >= 0
51                    && other.significant_bits() == u64::from(exponent.unsigned_abs())
52                    && significand.cmp_normalized(other.unsigned_abs_ref()) == Equal
53            }
54            _ => false,
55        }
56    }
57}
58
59impl PartialEq<Float> for Integer {
60    /// Determines whether an [`Integer`] is equal to a [`Float`].
61    ///
62    /// No [`Integer`] is equal to $\infty$, $-\infty$, or NaN. The [`Integer`] zero is equal to
63    /// both the [`Float`] zero and the [`Float`] negative zero.
64    ///
65    /// # Worst-case complexity
66    /// $T(n) = O(n)$
67    ///
68    /// $M(n) = O(1)$
69    ///
70    /// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
71    /// other.significant_bits())`.
72    ///
73    /// # Examples
74    /// ```
75    /// use malachite_base::num::basic::traits::{One, OneHalf};
76    /// use malachite_float::Float;
77    /// use malachite_nz::integer::Integer;
78    ///
79    /// assert!(Integer::from(123) == Float::from(123));
80    /// assert!(Integer::from(-123) == Float::from(-123));
81    /// assert!(Integer::ONE != Float::ONE_HALF);
82    /// ```
83    #[inline]
84    fn eq(&self, other: &Float) -> bool {
85        other == self
86    }
87}
malachite_float/comparison/partial_eq_integer.rs

malachite_float/comparison/
partial_eq_integer.rs
