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
// 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::num::basic::unsigneds::PrimitiveUnsigned;
use crate::unsigned_vector::UnsignedVector;
use core::ops::{Div, DivAssign};
impl<T: PrimitiveUnsigned> Div<T> for UnsignedVector<T> {
type Output = Self;
/// Divides every element of an [`UnsignedVector`] by a `T`, taking it by value.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
#[inline]
fn div(mut self, c: T) -> Self {
self /= c;
self
}
}
impl<T: PrimitiveUnsigned> Div<T> for &UnsignedVector<T> {
type Output = UnsignedVector<T>;
/// Divides every element of an [`UnsignedVector`] by a `T`, taking it by reference.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
fn div(self, c: T) -> UnsignedVector<T> {
assert!(c != T::ZERO, "division by zero");
UnsignedVector {
elements: if c == T::ONE {
self.elements.clone()
} else {
self.elements.iter().map(|&x| x / c).collect()
},
}
}
}
impl<T: PrimitiveUnsigned> DivAssign<T> for UnsignedVector<T> {
/// Divides every element of an [`UnsignedVector`] by a `T`, in place.
///
/// Every element is divided by `c`.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div_assign).
fn div_assign(&mut self, c: T) {
assert!(c != T::ZERO, "division by zero");
if c != T::ONE {
for x in &mut self.elements {
*x /= c;
}
}
}
}