305 lines
6.5 KiB
Go
305 lines
6.5 KiB
Go
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// Copyright 2012 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package bn256
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import (
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"bytes"
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"crypto/rand"
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"math/big"
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"testing"
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)
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func TestGFp2Invert(t *testing.T) {
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pool := new(bnPool)
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a := newGFp2(pool)
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a.x.SetString("23423492374", 10)
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a.y.SetString("12934872398472394827398470", 10)
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inv := newGFp2(pool)
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inv.Invert(a, pool)
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b := newGFp2(pool).Mul(inv, a, pool)
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if b.x.Int64() != 0 || b.y.Int64() != 1 {
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t.Fatalf("bad result for a^-1*a: %s %s", b.x, b.y)
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}
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a.Put(pool)
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b.Put(pool)
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inv.Put(pool)
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if c := pool.Count(); c > 0 {
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t.Errorf("Pool count non-zero: %d\n", c)
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}
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}
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func isZero(n *big.Int) bool {
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return new(big.Int).Mod(n, P).Int64() == 0
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}
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func isOne(n *big.Int) bool {
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return new(big.Int).Mod(n, P).Int64() == 1
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}
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func TestGFp6Invert(t *testing.T) {
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pool := new(bnPool)
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a := newGFp6(pool)
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a.x.x.SetString("239487238491", 10)
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a.x.y.SetString("2356249827341", 10)
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a.y.x.SetString("082659782", 10)
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a.y.y.SetString("182703523765", 10)
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a.z.x.SetString("978236549263", 10)
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a.z.y.SetString("64893242", 10)
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inv := newGFp6(pool)
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inv.Invert(a, pool)
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b := newGFp6(pool).Mul(inv, a, pool)
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if !isZero(b.x.x) ||
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!isZero(b.x.y) ||
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!isZero(b.y.x) ||
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!isZero(b.y.y) ||
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!isZero(b.z.x) ||
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!isOne(b.z.y) {
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t.Fatalf("bad result for a^-1*a: %s", b)
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}
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a.Put(pool)
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b.Put(pool)
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inv.Put(pool)
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if c := pool.Count(); c > 0 {
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t.Errorf("Pool count non-zero: %d\n", c)
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}
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}
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func TestGFp12Invert(t *testing.T) {
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pool := new(bnPool)
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a := newGFp12(pool)
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a.x.x.x.SetString("239846234862342323958623", 10)
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a.x.x.y.SetString("2359862352529835623", 10)
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a.x.y.x.SetString("928836523", 10)
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a.x.y.y.SetString("9856234", 10)
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a.x.z.x.SetString("235635286", 10)
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a.x.z.y.SetString("5628392833", 10)
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a.y.x.x.SetString("252936598265329856238956532167968", 10)
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a.y.x.y.SetString("23596239865236954178968", 10)
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a.y.y.x.SetString("95421692834", 10)
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a.y.y.y.SetString("236548", 10)
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a.y.z.x.SetString("924523", 10)
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a.y.z.y.SetString("12954623", 10)
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inv := newGFp12(pool)
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inv.Invert(a, pool)
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b := newGFp12(pool).Mul(inv, a, pool)
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if !isZero(b.x.x.x) ||
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!isZero(b.x.x.y) ||
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!isZero(b.x.y.x) ||
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!isZero(b.x.y.y) ||
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!isZero(b.x.z.x) ||
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!isZero(b.x.z.y) ||
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!isZero(b.y.x.x) ||
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!isZero(b.y.x.y) ||
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!isZero(b.y.y.x) ||
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!isZero(b.y.y.y) ||
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!isZero(b.y.z.x) ||
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!isOne(b.y.z.y) {
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t.Fatalf("bad result for a^-1*a: %s", b)
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}
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a.Put(pool)
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b.Put(pool)
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inv.Put(pool)
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if c := pool.Count(); c > 0 {
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t.Errorf("Pool count non-zero: %d\n", c)
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}
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}
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func TestCurveImpl(t *testing.T) {
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pool := new(bnPool)
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g := &curvePoint{
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pool.Get().SetInt64(1),
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pool.Get().SetInt64(-2),
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pool.Get().SetInt64(1),
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pool.Get().SetInt64(0),
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}
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x := pool.Get().SetInt64(32498273234)
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X := newCurvePoint(pool).Mul(g, x, pool)
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y := pool.Get().SetInt64(98732423523)
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Y := newCurvePoint(pool).Mul(g, y, pool)
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s1 := newCurvePoint(pool).Mul(X, y, pool).MakeAffine(pool)
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s2 := newCurvePoint(pool).Mul(Y, x, pool).MakeAffine(pool)
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if s1.x.Cmp(s2.x) != 0 ||
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s2.x.Cmp(s1.x) != 0 {
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t.Errorf("DH points don't match: (%s, %s) (%s, %s)", s1.x, s1.y, s2.x, s2.y)
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}
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pool.Put(x)
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X.Put(pool)
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pool.Put(y)
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Y.Put(pool)
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s1.Put(pool)
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s2.Put(pool)
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g.Put(pool)
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if c := pool.Count(); c > 0 {
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t.Errorf("Pool count non-zero: %d\n", c)
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}
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}
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func TestOrderG1(t *testing.T) {
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g := new(G1).ScalarBaseMult(Order)
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if !g.p.IsInfinity() {
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t.Error("G1 has incorrect order")
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}
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one := new(G1).ScalarBaseMult(new(big.Int).SetInt64(1))
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g.Add(g, one)
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g.p.MakeAffine(nil)
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if g.p.x.Cmp(one.p.x) != 0 || g.p.y.Cmp(one.p.y) != 0 {
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t.Errorf("1+0 != 1 in G1")
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}
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}
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func TestOrderG2(t *testing.T) {
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g := new(G2).ScalarBaseMult(Order)
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if !g.p.IsInfinity() {
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t.Error("G2 has incorrect order")
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}
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one := new(G2).ScalarBaseMult(new(big.Int).SetInt64(1))
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g.Add(g, one)
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g.p.MakeAffine(nil)
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if g.p.x.x.Cmp(one.p.x.x) != 0 ||
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g.p.x.y.Cmp(one.p.x.y) != 0 ||
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g.p.y.x.Cmp(one.p.y.x) != 0 ||
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g.p.y.y.Cmp(one.p.y.y) != 0 {
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t.Errorf("1+0 != 1 in G2")
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}
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}
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func TestOrderGT(t *testing.T) {
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gt := Pair(&G1{curveGen}, &G2{twistGen})
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g := new(GT).ScalarMult(gt, Order)
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if !g.p.IsOne() {
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t.Error("GT has incorrect order")
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}
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}
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func TestBilinearity(t *testing.T) {
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for i := 0; i < 2; i++ {
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a, p1, _ := RandomG1(rand.Reader)
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b, p2, _ := RandomG2(rand.Reader)
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e1 := Pair(p1, p2)
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e2 := Pair(&G1{curveGen}, &G2{twistGen})
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e2.ScalarMult(e2, a)
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e2.ScalarMult(e2, b)
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minusE2 := new(GT).Neg(e2)
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e1.Add(e1, minusE2)
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if !e1.p.IsOne() {
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t.Fatalf("bad pairing result: %s", e1)
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}
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}
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}
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func TestG1Marshal(t *testing.T) {
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g := new(G1).ScalarBaseMult(new(big.Int).SetInt64(1))
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form := g.Marshal()
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_, ok := new(G1).Unmarshal(form)
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if !ok {
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t.Fatalf("failed to unmarshal")
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}
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g.ScalarBaseMult(Order)
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form = g.Marshal()
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g2, ok := new(G1).Unmarshal(form)
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if !ok {
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t.Fatalf("failed to unmarshal ∞")
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}
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if !g2.p.IsInfinity() {
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t.Fatalf("∞ unmarshaled incorrectly")
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}
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}
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func TestG2Marshal(t *testing.T) {
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g := new(G2).ScalarBaseMult(new(big.Int).SetInt64(1))
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form := g.Marshal()
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_, ok := new(G2).Unmarshal(form)
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if !ok {
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t.Fatalf("failed to unmarshal")
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}
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g.ScalarBaseMult(Order)
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form = g.Marshal()
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g2, ok := new(G2).Unmarshal(form)
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if !ok {
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t.Fatalf("failed to unmarshal ∞")
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}
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if !g2.p.IsInfinity() {
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t.Fatalf("∞ unmarshaled incorrectly")
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}
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}
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func TestG1Identity(t *testing.T) {
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g := new(G1).ScalarBaseMult(new(big.Int).SetInt64(0))
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if !g.p.IsInfinity() {
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t.Error("failure")
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}
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}
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func TestG2Identity(t *testing.T) {
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g := new(G2).ScalarBaseMult(new(big.Int).SetInt64(0))
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if !g.p.IsInfinity() {
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t.Error("failure")
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}
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}
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func TestTripartiteDiffieHellman(t *testing.T) {
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a, _ := rand.Int(rand.Reader, Order)
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b, _ := rand.Int(rand.Reader, Order)
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c, _ := rand.Int(rand.Reader, Order)
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pa, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(a).Marshal())
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qa, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(a).Marshal())
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pb, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(b).Marshal())
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qb, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(b).Marshal())
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pc, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(c).Marshal())
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qc, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(c).Marshal())
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k1 := Pair(pb, qc)
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k1.ScalarMult(k1, a)
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k1Bytes := k1.Marshal()
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k2 := Pair(pc, qa)
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k2.ScalarMult(k2, b)
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k2Bytes := k2.Marshal()
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k3 := Pair(pa, qb)
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k3.ScalarMult(k3, c)
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k3Bytes := k3.Marshal()
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if !bytes.Equal(k1Bytes, k2Bytes) || !bytes.Equal(k2Bytes, k3Bytes) {
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t.Errorf("keys didn't agree")
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}
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}
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func BenchmarkPairing(b *testing.B) {
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for i := 0; i < b.N; i++ {
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Pair(&G1{curveGen}, &G2{twistGen})
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}
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}
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