1package bn256
2
3import (
4	"testing"
5
6	"crypto/rand"
7)
8
9func TestRandomG2Marshal(t *testing.T) {
10	for i := 0; i < 10; i++ {
11		n, g2, err := RandomG2(rand.Reader)
12		if err != nil {
13			t.Error(err)
14			continue
15		}
16		t.Logf("%v: %x\n", n, g2.Marshal())
17	}
18}
19
20func TestPairings(t *testing.T) {
21	a1 := new(G1).ScalarBaseMult(bigFromBase10("1"))
22	a2 := new(G1).ScalarBaseMult(bigFromBase10("2"))
23	a37 := new(G1).ScalarBaseMult(bigFromBase10("37"))
24	an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
25
26	b0 := new(G2).ScalarBaseMult(bigFromBase10("0"))
27	b1 := new(G2).ScalarBaseMult(bigFromBase10("1"))
28	b2 := new(G2).ScalarBaseMult(bigFromBase10("2"))
29	b27 := new(G2).ScalarBaseMult(bigFromBase10("27"))
30	b999 := new(G2).ScalarBaseMult(bigFromBase10("999"))
31	bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
32
33	p1 := Pair(a1, b1)
34	pn1 := Pair(a1, bn1)
35	np1 := Pair(an1, b1)
36	if pn1.String() != np1.String() {
37		t.Error("Pairing mismatch: e(a, -b) != e(-a, b)")
38	}
39	if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) {
40		t.Error("MultiAte check gave false negative!")
41	}
42	p0 := new(GT).Add(p1, pn1)
43	p0_2 := Pair(a1, b0)
44	if p0.String() != p0_2.String() {
45		t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1")
46	}
47	p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617"))
48	if p0.String() != p0_3.String() {
49		t.Error("Pairing mismatch: e(a, b) has wrong order")
50	}
51	p2 := Pair(a2, b1)
52	p2_2 := Pair(a1, b2)
53	p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2"))
54	if p2.String() != p2_2.String() {
55		t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)")
56	}
57	if p2.String() != p2_3.String() {
58		t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2")
59	}
60	if p2.String() == p1.String() {
61		t.Error("Pairing is degenerate!")
62	}
63	if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) {
64		t.Error("MultiAte check gave false positive!")
65	}
66	p999 := Pair(a37, b27)
67	p999_2 := Pair(a1, b999)
68	if p999.String() != p999_2.String() {
69		t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)")
70	}
71}
72