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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)")
}
}
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