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73 lines
2.2 KiB
73 lines
2.2 KiB
// +build amd64,!appengine,!gccgo
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package bn256
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import (
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"testing"
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"crypto/rand"
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)
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func TestRandomG2Marshal(t *testing.T) {
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for i := 0; i < 10; i++ {
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n, g2, err := RandomG2(rand.Reader)
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if err != nil {
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t.Error(err)
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continue
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}
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t.Logf("%d: %x\n", n, g2.Marshal())
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}
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}
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func TestPairings(t *testing.T) {
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a1 := new(G1).ScalarBaseMult(bigFromBase10("1"))
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a2 := new(G1).ScalarBaseMult(bigFromBase10("2"))
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a37 := new(G1).ScalarBaseMult(bigFromBase10("37"))
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an1 := new(G1).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
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b0 := new(G2).ScalarBaseMult(bigFromBase10("0"))
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b1 := new(G2).ScalarBaseMult(bigFromBase10("1"))
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b2 := new(G2).ScalarBaseMult(bigFromBase10("2"))
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b27 := new(G2).ScalarBaseMult(bigFromBase10("27"))
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b999 := new(G2).ScalarBaseMult(bigFromBase10("999"))
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bn1 := new(G2).ScalarBaseMult(bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495616"))
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p1 := Pair(a1, b1)
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pn1 := Pair(a1, bn1)
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np1 := Pair(an1, b1)
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if pn1.String() != np1.String() {
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t.Error("Pairing mismatch: e(a, -b) != e(-a, b)")
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}
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if !PairingCheck([]*G1{a1, an1}, []*G2{b1, b1}) {
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t.Error("MultiAte check gave false negative!")
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}
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p0 := new(GT).Add(p1, pn1)
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p0_2 := Pair(a1, b0)
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if p0.String() != p0_2.String() {
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t.Error("Pairing mismatch: e(a, b) * e(a, -b) != 1")
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}
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p0_3 := new(GT).ScalarMult(p1, bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617"))
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if p0.String() != p0_3.String() {
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t.Error("Pairing mismatch: e(a, b) has wrong order")
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}
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p2 := Pair(a2, b1)
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p2_2 := Pair(a1, b2)
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p2_3 := new(GT).ScalarMult(p1, bigFromBase10("2"))
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if p2.String() != p2_2.String() {
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t.Error("Pairing mismatch: e(a, b * 2) != e(a * 2, b)")
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}
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if p2.String() != p2_3.String() {
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t.Error("Pairing mismatch: e(a, b * 2) != e(a, b) ** 2")
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}
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if p2.String() == p1.String() {
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t.Error("Pairing is degenerate!")
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}
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if PairingCheck([]*G1{a1, a1}, []*G2{b1, b1}) {
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t.Error("MultiAte check gave false positive!")
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}
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p999 := Pair(a37, b27)
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p999_2 := Pair(a1, b999)
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if p999.String() != p999_2.String() {
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t.Error("Pairing mismatch: e(a * 37, b * 27) != e(a, b * 999)")
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}
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}
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