use ark_ec::{AffineCurve, PairingEngine, ProjectiveCurve}; use ark_ff::{Field, One, PrimeField, UniformRand}; use ark_std::test_rng; use rand::Rng; use crate::*; use ark_algebra_test_templates::{curves::*, groups::*}; #[test] fn test_g1_projective_curve() { curve_tests::(); sw_tests::(); } #[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::(); sw_tests::(); } #[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 sa = a.mul(s.into_repr()); let sb = b.mul(s.into_repr()); let ans1 = MNT4_753::pairing(sa, b); let ans2 = MNT4_753::pairing(a, sb); let ans3 = MNT4_753::pairing(a, b).pow(s.into_repr()); assert_eq!(ans1, ans2); assert_eq!(ans2, ans3); assert_ne!(ans1, Fq4::one()); assert_ne!(ans2, Fq4::one()); assert_ne!(ans3, Fq4::one()); assert_eq!(ans1.pow(Fr::characteristic()), Fq4::one()); assert_eq!(ans2.pow(Fr::characteristic()), Fq4::one()); assert_eq!(ans3.pow(Fr::characteristic()), Fq4::one()); } #[test] fn test_product_of_pairings() { let rng = &mut test_rng(); let a = G1Projective::rand(rng).into_affine(); let b = G2Projective::rand(rng).into_affine(); let c = G1Projective::rand(rng).into_affine(); let d = G2Projective::rand(rng).into_affine(); let ans1 = MNT4_753::pairing(a, b) * &MNT4_753::pairing(c, d); let ans2 = MNT4_753::product_of_pairings(&[(a.into(), b.into()), (c.into(), d.into())]); assert_eq!(ans1, ans2); }