package bn256 import ( "testing" "crypto/rand" ) func TestRandomG2Marshal(t *testing.T) { for i := 0; i < 10; i++ { n, g2, err := RandomG2(rand.Reader) if err != nil { t.Error(err) continue } t.Logf("%d: %x\n", n, g2.Marshal()) } } func TestPairings(t *testing.T) { a1 := new(G1).ScalarBaseMult(bigFromBase10("1")) a2 := new(G1).ScalarBaseMult(bigFromBase10("2")) a37 := new(G1).ScalarBaseMult(bigFromBase10("37")) an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616")) b0 := new(G2).ScalarBaseMult(bigFromBase10("0")) b1 := new(G2).ScalarBaseMult(bigFromBase10("1")) b2 := new(G2).ScalarBaseMult(bigFromBase10("2")) b27 := new(G2).ScalarBaseMult(bigFromBase10("27")) b999 := new(G2).ScalarBaseMult(bigFromBase10("999")) bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616")) p1 := Pair(a1, b1) pn1 := Pair(a1, bn1) np1 := Pair(an1, b1) if pn1.String() != np1.String() { t.Error("Pairing mismatch: e(a, -b) != e(-a, b)") } if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) { t.Error("MultiAte check gave false negative!") } p0 := new(GT).Add(p1, pn1) p0_2 := Pair(a1, b0) if p0.String() != p0_2.String() { t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1") } p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617")) if p0.String() != p0_3.String() { t.Error("Pairing mismatch: e(a, b) has wrong order") } p2 := Pair(a2, b1) p2_2 := Pair(a1, b2) p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2")) if p2.String() != p2_2.String() { t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)") } if p2.String() != p2_3.String() { t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2") } if p2.String() == p1.String() { t.Error("Pairing is degenerate!") } if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) { t.Error("MultiAte check gave false positive!") } p999 := Pair(a37, b27) p999_2 := Pair(a1, b999) if p999.String() != p999_2.String() { t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)") } }