equality_across_groups 0.2.0

Protocols for proving equality of committed values across groups and correctness of elliptic curve point addition and scalar multiplication
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

// TODO: Remove once merged in arkworks

use ark_ec::{
    models::CurveConfig,
    short_weierstrass::{self as sw, SWCurveConfig},
};
use ark_ff::{
    fields::{Fp256, MontBackend, MontConfig},
    Field, MontFp,
};

#[derive(MontConfig)]
#[modulus = "115792089210356248762697446949407573530594504085698471288169790229257723883799"]
#[generator = "6"]
// #[small_subgroup_base = "3"]
// #[small_subgroup_power = "1"]
pub struct FqConfig;
pub type Fq = Fp256<MontBackend<FqConfig, 4>>;

#[derive(MontConfig)]
#[modulus = "115792089210356248762697446949407573530086143415290314195533631308867097853951"]
#[generator = "6"]
// #[small_subgroup_base = "3"]
// #[small_subgroup_power = "1"]
pub struct FrConfig;
pub type Fr = Fp256<MontBackend<FrConfig, 4>>;

pub type Affine = sw::Affine<Config>;
pub type Projective = sw::Projective<Config>;

#[derive(Copy, Clone, Default, PartialEq, Eq)]
pub struct Config;

impl CurveConfig for Config {
    type BaseField = Fq;
    type ScalarField = Fr;

    /// COFACTOR = 1
    const COFACTOR: &'static [u64] = &[0x1];

    /// COFACTOR_INV = COFACTOR^{-1} mod r = 1
    #[rustfmt::skip]
    const COFACTOR_INV: Fr =  Fr::ONE;
}

impl SWCurveConfig for Config {
    /// COEFF_A = 115792089210356248762697446949407573530594504085698471288169790229257723883796
    const COEFF_A: Fq =
        MontFp!("115792089210356248762697446949407573530594504085698471288169790229257723883796");

    /// COEFF_B = 81531206846337786915455327229510804132577517753388365729879493166393691077718
    const COEFF_B: Fq =
        MontFp!("81531206846337786915455327229510804132577517753388365729879493166393691077718");

    /// GENERATOR = (G_GENERATOR_X, G_GENERATOR_Y)
    const GENERATOR: Affine = Affine::new_unchecked(G_GENERATOR_X, G_GENERATOR_Y);
}

/// G_GENERATOR_X =
/// 3
pub const G_GENERATOR_X: Fq = MontFp!("3");

/// G_GENERATOR_Y =
/// 40902200210088653215032584946694356296222563095503428277299570638400093548589
pub const G_GENERATOR_Y: Fq =
    MontFp!("40902200210088653215032584946694356296222563095503428277299570638400093548589");