Initial commit

mnt4_753/src/curves/tests.rs

@@ -0,0 +1,90 @@
+use ark_ec::{AffineCurve, PairingEngine, ProjectiveCurve};
+use ark_ff::{test_rng, Field, One, PrimeField, UniformRand};
+use rand::Rng;
+
+use crate::*;
+
+use ark_curve_tests::{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 sa = a.mul(s);
+    let sb = b.mul(s);
+
+    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);
+}