malachite_base/unsigned_polynomial/arithmetic/canonicalize_unit.rs
1// Copyright © 2026 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::num::arithmetic::traits::{CanonicalizeUnit, CanonicalizeUnitAssign};
10use crate::num::basic::unsigneds::PrimitiveUnsigned;
11use crate::unsigned_polynomial::UnsignedPolynomial;
12
13impl<T: PrimitiveUnsigned> CanonicalizeUnit for UnsignedPolynomial<T> {
14 type Output = Self;
15
16 /// Brings an [`UnsignedPolynomial`] into canonical unit form, taking it by value.
17 ///
18 /// The coefficients are non-negative, so the leading coefficient already is, and the polynomial
19 /// is its own canonical associate: this is the identity, as it is for the coefficient type.
20 ///
21 /// # Worst-case complexity
22 /// Constant time and additional memory.
23 ///
24 /// # Examples
25 /// ```
26 /// use core::str::FromStr;
27 /// use malachite_base::num::arithmetic::traits::CanonicalizeUnit;
28 /// use malachite_base::num::basic::traits::Zero;
29 /// use malachite_base::unsigned_polynomial::UnsignedPolynomial;
30 ///
31 /// assert_eq!(
32 /// UnsignedPolynomial::<u8>::from_str("3*x^2+2")
33 /// .unwrap()
34 /// .canonicalize_unit()
35 /// .to_string(),
36 /// "3*x^2+2"
37 /// );
38 /// assert_eq!(
39 /// UnsignedPolynomial::<u8>::ZERO.canonicalize_unit(),
40 /// UnsignedPolynomial::<u8>::ZERO
41 /// );
42 /// ```
43 #[inline]
44 fn canonicalize_unit(self) -> Self {
45 self
46 }
47}
48
49impl<T: PrimitiveUnsigned> CanonicalizeUnit for &UnsignedPolynomial<T> {
50 type Output = UnsignedPolynomial<T>;
51
52 /// Brings an [`UnsignedPolynomial`] into canonical unit form, taking it by reference.
53 ///
54 /// The coefficients are non-negative, so the leading coefficient already is, and the polynomial
55 /// is its own canonical associate: this is the identity, as it is for the coefficient type.
56 ///
57 /// # Worst-case complexity
58 /// $T(n) = O(n)$
59 ///
60 /// $M(n) = O(n)$
61 ///
62 /// where $T$ is time, $M$ is additional memory, and $n$ is the total size of the coefficients.
63 ///
64 /// # Examples
65 /// ```
66 /// use core::str::FromStr;
67 /// use malachite_base::num::arithmetic::traits::CanonicalizeUnit;
68 /// use malachite_base::num::basic::traits::Zero;
69 /// use malachite_base::unsigned_polynomial::UnsignedPolynomial;
70 ///
71 /// assert_eq!(
72 /// (&UnsignedPolynomial::<u8>::from_str("3*x^2+2").unwrap())
73 /// .canonicalize_unit()
74 /// .to_string(),
75 /// "3*x^2+2"
76 /// );
77 /// assert_eq!(
78 /// (&UnsignedPolynomial::<u8>::ZERO).canonicalize_unit(),
79 /// UnsignedPolynomial::<u8>::ZERO
80 /// );
81 /// ```
82 #[inline]
83 fn canonicalize_unit(self) -> UnsignedPolynomial<T> {
84 self.clone()
85 }
86}
87
88impl<T: PrimitiveUnsigned> CanonicalizeUnitAssign for UnsignedPolynomial<T> {
89 /// Brings an [`UnsignedPolynomial`] into canonical unit form, in place.
90 ///
91 /// See [`canonicalize_unit`](CanonicalizeUnit::canonicalize_unit).
92 ///
93 /// # Worst-case complexity
94 /// Constant time and additional memory.
95 ///
96 /// # Examples
97 /// ```
98 /// use core::str::FromStr;
99 /// use malachite_base::num::arithmetic::traits::CanonicalizeUnitAssign;
100 /// use malachite_base::unsigned_polynomial::UnsignedPolynomial;
101 ///
102 /// let mut p = UnsignedPolynomial::<u8>::from_str("3*x^2+2").unwrap();
103 /// p.canonicalize_unit_assign();
104 /// assert_eq!(p.to_string(), "3*x^2+2");
105 /// ```
106 #[inline]
107 fn canonicalize_unit_assign(&mut self) {}
108}