ark-curves-cherry-picked/bn254/src/curves/tests.rs

#![allow(unused_imports)]
use ark_ec::{models::SWModelParameters, AffineCurve, PairingEngine, ProjectiveCurve};
use ark_ff::{
    fields::{Field, FpParameters, PrimeField, SquareRootField},
    One, Zero,
};
use ark_serialize::CanonicalSerialize;
use ark_std::rand::Rng;
use ark_std::test_rng;
use core::ops::{AddAssign, MulAssign};

use crate::{g1, g2, Bn254, Fq, Fq12, Fq2, Fr, G1Affine, G1Projective, G2Affine, G2Projective};

use ark_algebra_test_templates::{curves::*, groups::*};

#[test]
fn test_g1_projective_curve() {
    curve_tests::<G1Projective>();

    sw_tests::<g1::Parameters>();
}

#[test]
fn test_g1_projective_group() {
    let mut rng = test_rng();
    let a: G1Projective = rng.gen();
    let b: G1Projective = rng.gen();
    group_test(a, b);
}

#[test]
fn test_g1_generator() {
    let generator = G1Affine::prime_subgroup_generator();
    assert!(generator.is_on_curve());
    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
}

#[test]
fn test_g2_projective_curve() {
    curve_tests::<G2Projective>();

    sw_tests::<g2::Parameters>();
}

#[test]
fn test_g2_projective_group() {
    let mut rng = test_rng();
    let a: G2Projective = rng.gen();
    let b: G2Projective = rng.gen();
    group_test(a, b);
}

#[test]
fn test_g2_generator() {
    let generator = G2Affine::prime_subgroup_generator();
    assert!(generator.is_on_curve());
    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
}

#[test]
fn test_bilinearity() {
    let mut rng = test_rng();
    let a: G1Projective = rng.gen();
    let b: G2Projective = rng.gen();
    let s: Fr = rng.gen();

    let mut sa = a;
    sa.mul_assign(s);
    let mut sb = b;
    sb.mul_assign(s);

    let ans1 = Bn254::pairing(sa, b);
    let ans2 = Bn254::pairing(a, sb);
    let ans3 = Bn254::pairing(a, b).pow(s.into_repr());

    assert_eq!(ans1, ans2);
    assert_eq!(ans2, ans3);

    assert_ne!(ans1, Fq12::one());
    assert_ne!(ans2, Fq12::one());
    assert_ne!(ans3, Fq12::one());

    assert_eq!(ans1.pow(Fr::characteristic()), Fq12::one());
    assert_eq!(ans2.pow(Fr::characteristic()), Fq12::one());
    assert_eq!(ans3.pow(Fr::characteristic()), Fq12::one());
}