snarkvm-curves 4.6.2

Curves for a decentralized virtual machine
Documentation 
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

// Copyright (c) 2019-2026 Provable Inc.
// This file is part of the snarkVM library.

// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at:

// http://www.apache.org/licenses/LICENSE-2.0

// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

use crate::{AffineCurve, ProjectiveCurve};
use snarkvm_fields::{One, Zero};
use snarkvm_utilities::rand::{TestRng, Uniform};

#[allow(clippy::eq_op)]
pub fn affine_test<G: AffineCurve>(a: G) {
    let zero = G::zero();
    let fr_zero = G::ScalarField::zero();
    let fr_one = G::ScalarField::one();
    assert!(zero == zero);
    assert!(zero.is_zero()); // true
    assert_eq!(a * fr_one, a);
    assert_eq!(a.mul(fr_zero), zero);

    // a == a
    assert!(a == a);
    assert_eq!(a.mul_by_cofactor_to_projective(), a.mul_by_cofactor());
    assert_eq!(a.mul_by_cofactor_inv().mul_by_cofactor(), a);
}

#[allow(clippy::eq_op)]
pub fn projective_test<G: ProjectiveCurve>(a: G, mut b: G, rng: &mut TestRng) {
    let zero = G::zero();
    let fr_zero = G::ScalarField::zero();
    let fr_one = G::ScalarField::one();
    let fr_two = fr_one + fr_one;
    assert!(zero == zero);
    assert!(zero.is_zero()); // true
    assert_eq!(a.mul(fr_one), a);
    assert_eq!(a.mul(fr_two), a + a);
    assert_eq!(a.mul(fr_zero), zero);
    assert_eq!(a.mul(fr_zero) - a, -a);
    assert_eq!(a.mul(fr_one) - a, zero);
    assert_eq!(a.mul(fr_two) - a, a);

    // a == a
    assert!(a == a);
    // a + 0 = a
    assert_eq!(a + zero, a);
    // a - 0 = a
    assert_eq!(a - zero, a);
    // a - a = 0
    assert_eq!(a - a, zero);
    // 0 - a = -a
    assert_eq!(zero - a, -a);
    // a.double() = a + a
    assert_eq!(a.double(), a + a);
    // b.double() = b + b
    assert_eq!(b.double(), b + b);
    // a + b = b + a
    assert_eq!(a + b, b + a);
    // a - b = -(b - a)
    assert_eq!(a - b, -(b - a));
    // (a + b) + a = a + (b + a)
    assert_eq!((a + b) + a, a + (b + a));
    // (a + b).double() = (a + b) + (b + a)
    assert_eq!((a + b).double(), (a + b) + (b + a));

    // Check that double_in_place and double give the same result
    let original_b = b;
    b.double_in_place();
    assert_eq!(original_b.double(), b);

    let fr_rand1 = G::ScalarField::rand(rng);
    let fr_rand2 = G::ScalarField::rand(rng);
    let a_rand1 = a.mul(fr_rand1);
    let a_rand2 = a.mul(fr_rand2);
    let fr_three = fr_two + fr_rand1;
    let a_two = a.mul(fr_two);
    assert_eq!(a_two, a.double(), "(a * 2)  != a.double()");
    let a_six = a.mul(fr_three * fr_two);
    assert_eq!(a_two.mul(fr_three), a_six, "(a * 2) * 3 != a * (2 * 3)");

    assert_eq!(a_rand1.mul(fr_rand2), a_rand2.mul(fr_rand1), "(a * r1) * r2 != (a * r2) * r1");
    assert_eq!(a_rand2.mul(fr_rand1), a.mul(fr_rand1 * fr_rand2), "(a * r2) * r1 != a * (r1 * r2)");
    assert_eq!(a_rand1.mul(fr_rand2), a.mul(fr_rand1 * fr_rand2), "(a * r1) * r2 != a * (r1 * r2)");
}