1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
// 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::Rational;
use malachite_base::num::comparison::traits::EqAbs;
use malachite_nz::integer::Integer;
impl EqAbs<Integer> for Rational {
/// Determines whether the absolute values of a [`Rational`] and an [`Integer`] are equal.
///
/// # 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::EqAbs;
/// use malachite_nz::integer::Integer;
/// use malachite_q::Rational;
///
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(122)), false);
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(124)), false);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(123)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(-22, 7).eq_abs(&Integer::from(123)),
/// false
/// );
/// assert_eq!(Rational::from(123).eq_abs(&Integer::from(123)), true);
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(123)), true);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(123)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(123)),
/// false
/// );
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(-122)), false);
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(-124)), false);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(-123)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(-22, 7).eq_abs(&Integer::from(1 - 23)),
/// false
/// );
/// assert_eq!(Rational::from(123).eq_abs(&Integer::from(-123)), true);
/// assert_eq!(Rational::from(-123).eq_abs(&Integer::from(-123)), true);
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(-123)),
/// false
/// );
/// assert_eq!(
/// Rational::from_signeds(22, 7).eq_abs(&Integer::from(-123)),
/// false
/// );
/// ```
#[inline]
fn eq_abs(&self, other: &Integer) -> bool {
self.denominator == 1 && self.numerator == *other.unsigned_abs_ref()
}
}
impl EqAbs<Rational> for Integer {
/// Determines whether the absolute values of a [`Rational`] and an [`Integer`] are equal.
///
/// # 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::EqAbs;
/// use malachite_nz::integer::Integer;
/// use malachite_q::Rational;
///
/// assert_eq!(Integer::from(122).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(Integer::from(124).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(
/// Integer::from(124).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Integer::from(124).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// assert_eq!(Integer::from(123).eq_abs(&Rational::from(123)), true);
/// assert_eq!(Integer::from(123).eq_abs(&Rational::from(-123)), true);
/// assert_eq!(
/// Integer::from(123).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Integer::from(123).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// assert_eq!(Integer::from(-122).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(Integer::from(-124).eq_abs(&Rational::from(-123)), false);
/// assert_eq!(
/// Integer::from(-124).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Integer::from(-124).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// assert_eq!(Integer::from(-123).eq_abs(&Rational::from(123)), true);
/// assert_eq!(Integer::from(-123).eq_abs(&Rational::from(-123)), true);
/// assert_eq!(
/// Integer::from(-123).eq_abs(&Rational::from_signeds(22, 7)),
/// false
/// );
/// assert_eq!(
/// Integer::from(-123).eq_abs(&Rational::from_signeds(-22, 7)),
/// false
/// );
/// ```
#[inline]
fn eq_abs(&self, other: &Rational) -> bool {
other.denominator == 1 && other.numerator == *self.unsigned_abs_ref()
}
}