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
// Copyright (C) 2019-2022 Aleo Systems Inc.
// This file is part of the snarkVM library.

// The snarkVM library is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// The snarkVM library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with the snarkVM library. If not, see <https://www.gnu.org/licenses/>.

use super::*;

impl<E: Environment> Square for Field<E> {
    type Output = Field<E>;

    fn square(&self) -> Self::Output {
        self * self
    }
}

impl<E: Environment> Metrics<dyn Square<Output = Field<E>>> for Field<E> {
    type Case = Mode;

    fn count(case: &Self::Case) -> Count {
        match case.is_constant() {
            true => Count::is(0, 0, 0, 0),
            false => Count::is(0, 0, 1, 1),
        }
    }
}

impl<E: Environment> OutputMode<dyn Square<Output = Field<E>>> for Field<E> {
    type Case = Mode;

    fn output_mode(input: &Self::Case) -> Mode {
        match input.is_constant() {
            true => Mode::Constant,
            false => Mode::Private,
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use snarkvm_circuit_environment::Circuit;

    const ITERATIONS: u64 = 500;

    fn check_square(name: &str, expected: &console::Field<<Circuit as Environment>::Network>, a: &Field<Circuit>) {
        Circuit::scope(name, || {
            let result = a.square();
            assert_eq!(*expected, result.eject_value());
            assert_count!(Square(Field) => Field, &(a.eject_mode()));
            assert_output_mode!(Square(Field) => Field, &(a.eject_mode()), result);
        });
    }

    fn run_test(mode: Mode) {
        for i in 0..ITERATIONS {
            // Sample a random element
            let first = Uniform::rand(&mut test_rng());
            let a = Field::<Circuit>::new(mode, first);

            let name = format!("Square: {}", i);
            check_square(&name, &first.square(), &a);
        }

        // Test zero case.
        let name = "Square Zero";
        let zero = console::Field::<<Circuit as Environment>::Network>::zero();
        check_square(name, &zero, &Field::new(mode, zero));

        // Test one case.
        let name = "Square One";
        let one = console::Field::<<Circuit as Environment>::Network>::one();
        check_square(name, &one, &Field::new(mode, one));
    }

    #[test]
    fn test_square() {
        run_test(Mode::Constant);
        run_test(Mode::Public);
        run_test(Mode::Private);
    }

    #[test]
    fn test_0_square() {
        let zero = console::Field::<<Circuit as Environment>::Network>::zero();

        let candidate = Field::<Circuit>::new(Mode::Public, zero).square();
        assert_eq!(zero, candidate.eject_value());
    }

    #[test]
    fn test_1_double() {
        let one = console::Field::<<Circuit as Environment>::Network>::one();

        let candidate = Field::<Circuit>::new(Mode::Public, one).square();
        assert_eq!(one, candidate.eject_value());
    }

    #[test]
    fn test_2_double() {
        let one = console::Field::<<Circuit as Environment>::Network>::one();
        let two = one + one;
        let four = two.square();

        let candidate = (Field::<Circuit>::new(Mode::Public, one) + Field::new(Mode::Public, one)).square();
        assert_eq!(four, candidate.eject_value());
    }
}