File: mod_square.rs

package info (click to toggle)
rust-malachite-base 0.4.16-1
  • links: PTS, VCS
  • area: main
  • in suites: trixie
  • size: 10,036 kB
  • sloc: makefile: 2
file content (117 lines) | stat: -rw-r--r-- 3,548 bytes parent folder | download
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
// 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 malachite_base::num::basic::integers::PrimitiveInt;
use malachite_base::num::basic::unsigneds::PrimitiveUnsigned;
use malachite_base::test_util::generators::{
    unsigned_gen, unsigned_gen_var_1, unsigned_pair_gen_var_16, unsigned_triple_gen_var_12,
};
use std::panic::catch_unwind;

fn mod_square_helper<T: PrimitiveUnsigned>() {
    let test = |x: T, m, out| {
        assert_eq!(x.mod_mul(x, m), out);
        assert_eq!(x.mod_square(m), out);

        let mut mut_x = x;
        mut_x.mod_square_assign(m);
        assert_eq!(mut_x, out);

        let data = T::precompute_mod_pow_data(&m);
        assert_eq!(x.mod_square_precomputed(m, &data), out);

        let mut mut_x = x;
        mut_x.mod_square_precomputed_assign(m, &data);
        assert_eq!(mut_x, out);
    };
    test(T::ZERO, T::ONE, T::ZERO);
    test(T::ONE, T::exact_from(10), T::ONE);
    test(T::TWO, T::exact_from(10), T::exact_from(4));
    if T::WIDTH > u8::WIDTH {
        test(T::exact_from(100), T::exact_from(497), T::exact_from(60));
        test(T::exact_from(200), T::exact_from(497), T::exact_from(240));
        test(T::exact_from(300), T::exact_from(497), T::exact_from(43));
    }
}

#[test]
fn test_mod_square() {
    apply_fn_to_unsigneds!(mod_square_helper);
}

fn mod_square_fail_helper<T: PrimitiveUnsigned>() {
    assert_panic!(T::ZERO.mod_square(T::ZERO));
    assert_panic!(T::from(123u8).mod_square(T::from(123u8)));
}

#[test]
fn mod_square_fail() {
    apply_fn_to_unsigneds!(mod_square_fail_helper);
}

fn mod_square_assign_fail_helper<T: PrimitiveUnsigned>() {
    assert_panic!({
        let mut x = T::ZERO;
        x.mod_square_assign(T::ZERO);
    });
    assert_panic!({
        let mut x = T::from(123u8);
        x.mod_square_assign(T::from(123u8));
    });
}

#[test]
fn mod_square_assign_fail() {
    apply_fn_to_unsigneds!(mod_square_assign_fail_helper);
}

fn mod_square_properties_helper<T: PrimitiveUnsigned>() {
    unsigned_pair_gen_var_16::<T>().test_properties(|(x, m)| {
        assert!(x.mod_is_reduced(&m));
        let square = x.mod_square(m);
        assert!(square.mod_is_reduced(&m));

        let mut x_alt = x;
        x_alt.mod_square_assign(m);
        assert_eq!(x_alt, square);

        let data = T::precompute_mod_pow_data(&m);

        assert_eq!(x.mod_square_precomputed(m, &data), square);

        let mut x_alt = x;
        x_alt.mod_square_precomputed_assign(m, &data);
        assert_eq!(x_alt, square);

        assert_eq!(x.mod_mul(x, m), square);
        assert_eq!(x.mod_neg(m).mod_square(m), square);
    });

    unsigned_gen_var_1::<T>().test_properties(|m| {
        assert_eq!(T::ZERO.mod_square(m), T::ZERO);
        if m != T::ONE {
            assert_eq!(T::ONE.mod_square(m), T::ONE);
        }
    });

    unsigned_triple_gen_var_12::<T>().test_properties(|(x, y, m)| {
        assert_eq!(
            x.mod_mul(y, m).mod_square(m),
            x.mod_square(m).mod_mul(y.mod_square(m), m)
        );
    });

    unsigned_gen::<T>().test_properties(|x| {
        assert_panic!(x.mod_square(T::ZERO));
    });
}

#[test]
fn mod_square_properties() {
    apply_fn_to_unsigneds!(mod_square_properties_helper);
}