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
// Copyright © 2024 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::arithmetic::traits::{
    ModPow, ModPowAssign, ModPowPrecomputed, ModPowPrecomputedAssign, ModSquare, ModSquareAssign,
    ModSquarePrecomputed, ModSquarePrecomputedAssign,
};

macro_rules! impl_mod_square {
    ($t:ident) => {
        impl ModSquare for $t {
            type Output = $t;

            /// Squares a number modulo another number $m$. The input must be already reduced modulo
            /// $m$.
            ///
            /// $f(x, m) = y$, where $x, y < m$ and $x^2 \equiv y \mod m$.
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Panics
            /// Panics if `self` is greater than or equal to `m`.
            ///
            /// # Examples
            /// See [here](super::mod_square#mod_square).
            #[inline]
            fn mod_square(self, m: $t) -> $t {
                self.mod_pow(2, m)
            }
        }

        impl ModSquareAssign for $t {
            /// Squares a number modulo another number $m$, in place. The input must be already
            /// reduced modulo $m$.
            ///
            /// $x \gets y$, where $x, y < m$ and $x^2 \equiv y \mod m$.
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Panics
            /// Panics if `self` is greater than or equal to `m`.
            ///
            /// # Examples
            /// See [here](super::mod_square#mod_square_assign).
            #[inline]
            fn mod_square_assign(&mut self, m: $t) {
                self.mod_pow_assign(2, m);
            }
        }

        impl ModSquarePrecomputed<u64, $t> for $t {
            /// Squares a number modulo another number $m$. The input must be already reduced modulo
            /// $m$.
            ///
            /// Some precomputed data is provided; this speeds up computations involving several
            /// modular squarings with the same modulus. The precomputed data should be obtained
            /// using [`precompute_mod_pow_data`](super::traits::ModPowPrecomputed).
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Panics
            /// Panics if `self` is greater than or equal to `m`.
            ///
            /// # Examples
            /// See [here](super::mod_square#mod_square_precomputed).
            #[inline]
            fn mod_square_precomputed(self, m: $t, data: &Self::Data) -> Self::Output {
                self.mod_pow_precomputed(2, m, data)
            }
        }

        impl ModSquarePrecomputedAssign<u64, $t> for $t {
            /// Squares a number modulo another number $m$, in place. The input must be already
            /// reduced modulo $m$.
            ///
            /// Some precomputed data is provided; this speeds up computations involving several
            /// modular squarings with the same modulus. The precomputed data should be obtained
            /// using [`precompute_mod_pow_data`](super::traits::ModPowPrecomputed).
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Panics
            /// Panics if `self` is greater than or equal to `m`.
            ///
            /// # Examples
            /// See [here](super::mod_square#mod_square_precomputed_assign).
            #[inline]
            fn mod_square_precomputed_assign(&mut self, m: $t, data: &Self::Data) {
                self.mod_pow_precomputed_assign(2, m, data);
            }
        }
    };
}
apply_to_unsigneds!(impl_mod_square);