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path: root/crypto/bn256/bn256_test.go
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// Copyright 2012 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package bn256

import (
    "bytes"
    "crypto/rand"
    "math/big"
    "testing"
)

func TestGFp2Invert(t *testing.T) {
    pool := new(bnPool)

    a := newGFp2(pool)
    a.x.SetString("23423492374", 10)
    a.y.SetString("12934872398472394827398470", 10)

    inv := newGFp2(pool)
    inv.Invert(a, pool)

    b := newGFp2(pool).Mul(inv, a, pool)
    if b.x.Int64() != 0 || b.y.Int64() != 1 {
        t.Fatalf("bad result for a^-1*a: %s %s", b.x, b.y)
    }

    a.Put(pool)
    b.Put(pool)
    inv.Put(pool)

    if c := pool.Count(); c > 0 {
        t.Errorf("Pool count non-zero: %d\n", c)
    }
}

func isZero(n *big.Int) bool {
    return new(big.Int).Mod(n, P).Int64() == 0
}

func isOne(n *big.Int) bool {
    return new(big.Int).Mod(n, P).Int64() == 1
}

func TestGFp6Invert(t *testing.T) {
    pool := new(bnPool)

    a := newGFp6(pool)
    a.x.x.SetString("239487238491", 10)
    a.x.y.SetString("2356249827341", 10)
    a.y.x.SetString("082659782", 10)
    a.y.y.SetString("182703523765", 10)
    a.z.x.SetString("978236549263", 10)
    a.z.y.SetString("64893242", 10)

    inv := newGFp6(pool)
    inv.Invert(a, pool)

    b := newGFp6(pool).Mul(inv, a, pool)
    if !isZero(b.x.x) ||
        !isZero(b.x.y) ||
        !isZero(b.y.x) ||
        !isZero(b.y.y) ||
        !isZero(b.z.x) ||
        !isOne(b.z.y) {
        t.Fatalf("bad result for a^-1*a: %s", b)
    }

    a.Put(pool)
    b.Put(pool)
    inv.Put(pool)

    if c := pool.Count(); c > 0 {
        t.Errorf("Pool count non-zero: %d\n", c)
    }
}

func TestGFp12Invert(t *testing.T) {
    pool := new(bnPool)

    a := newGFp12(pool)
    a.x.x.x.SetString("239846234862342323958623", 10)
    a.x.x.y.SetString("2359862352529835623", 10)
    a.x.y.x.SetString("928836523", 10)
    a.x.y.y.SetString("9856234", 10)
    a.x.z.x.SetString("235635286", 10)
    a.x.z.y.SetString("5628392833", 10)
    a.y.x.x.SetString("252936598265329856238956532167968", 10)
    a.y.x.y.SetString("23596239865236954178968", 10)
    a.y.y.x.SetString("95421692834", 10)
    a.y.y.y.SetString("236548", 10)
    a.y.z.x.SetString("924523", 10)
    a.y.z.y.SetString("12954623", 10)

    inv := newGFp12(pool)
    inv.Invert(a, pool)

    b := newGFp12(pool).Mul(inv, a, pool)
    if !isZero(b.x.x.x) ||
        !isZero(b.x.x.y) ||
        !isZero(b.x.y.x) ||
        !isZero(b.x.y.y) ||
        !isZero(b.x.z.x) ||
        !isZero(b.x.z.y) ||
        !isZero(b.y.x.x) ||
        !isZero(b.y.x.y) ||
        !isZero(b.y.y.x) ||
        !isZero(b.y.y.y) ||
        !isZero(b.y.z.x) ||
        !isOne(b.y.z.y) {
        t.Fatalf("bad result for a^-1*a: %s", b)
    }

    a.Put(pool)
    b.Put(pool)
    inv.Put(pool)

    if c := pool.Count(); c > 0 {
        t.Errorf("Pool count non-zero: %d\n", c)
    }
}

func TestCurveImpl(t *testing.T) {
    pool := new(bnPool)

    g := &curvePoint{
        pool.Get().SetInt64(1),
        pool.Get().SetInt64(-2),
        pool.Get().SetInt64(1),
        pool.Get().SetInt64(0),
    }

    x := pool.Get().SetInt64(32498273234)
    X := newCurvePoint(pool).Mul(g, x, pool)

    y := pool.Get().SetInt64(98732423523)
    Y := newCurvePoint(pool).Mul(g, y, pool)

    s1 := newCurvePoint(pool).Mul(X, y, pool).MakeAffine(pool)
    s2 := newCurvePoint(pool).Mul(Y, x, pool).MakeAffine(pool)

    if s1.x.Cmp(s2.x) != 0 ||
        s2.x.Cmp(s1.x) != 0 {
        t.Errorf("DH points don't match: (%s, %s) (%s, %s)", s1.x, s1.y, s2.x, s2.y)
    }

    pool.Put(x)
    X.Put(pool)
    pool.Put(y)
    Y.Put(pool)
    s1.Put(pool)
    s2.Put(pool)
    g.Put(pool)

    if c := pool.Count(); c > 0 {
        t.Errorf("Pool count non-zero: %d\n", c)
    }
}

func TestOrderG1(t *testing.T) {
    g := new(G1).ScalarBaseMult(Order)
    if !g.p.IsInfinity() {
        t.Error("G1 has incorrect order")
    }

    one := new(G1).ScalarBaseMult(new(big.Int).SetInt64(1))
    g.Add(g, one)
    g.p.MakeAffine(nil)
    if g.p.x.Cmp(one.p.x) != 0 || g.p.y.Cmp(one.p.y) != 0 {
        t.Errorf("1+0 != 1 in G1")
    }
}

func TestOrderG2(t *testing.T) {
    g := new(G2).ScalarBaseMult(Order)
    if !g.p.IsInfinity() {
        t.Error("G2 has incorrect order")
    }

    one := new(G2).ScalarBaseMult(new(big.Int).SetInt64(1))
    g.Add(g, one)
    g.p.MakeAffine(nil)
    if g.p.x.x.Cmp(one.p.x.x) != 0 ||
        g.p.x.y.Cmp(one.p.x.y) != 0 ||
        g.p.y.x.Cmp(one.p.y.x) != 0 ||
        g.p.y.y.Cmp(one.p.y.y) != 0 {
        t.Errorf("1+0 != 1 in G2")
    }
}

func TestOrderGT(t *testing.T) {
    gt := Pair(&G1{curveGen}, &G2{twistGen})
    g := new(GT).ScalarMult(gt, Order)
    if !g.p.IsOne() {
        t.Error("GT has incorrect order")
    }
}

func TestBilinearity(t *testing.T) {
    for i := 0; i < 2; i++ {
        a, p1, _ := RandomG1(rand.Reader)
        b, p2, _ := RandomG2(rand.Reader)
        e1 := Pair(p1, p2)

        e2 := Pair(&G1{curveGen}, &G2{twistGen})
        e2.ScalarMult(e2, a)
        e2.ScalarMult(e2, b)

        minusE2 := new(GT).Neg(e2)
        e1.Add(e1, minusE2)

        if !e1.p.IsOne() {
            t.Fatalf("bad pairing result: %s", e1)
        }
    }
}

func TestG1Marshal(t *testing.T) {
    g := new(G1).ScalarBaseMult(new(big.Int).SetInt64(1))
    form := g.Marshal()
    _, ok := new(G1).Unmarshal(form)
    if !ok {
        t.Fatalf("failed to unmarshal")
    }

    g.ScalarBaseMult(Order)
    form = g.Marshal()
    g2, ok := new(G1).Unmarshal(form)
    if !ok {
        t.Fatalf("failed to unmarshal ∞")
    }
    if !g2.p.IsInfinity() {
        t.Fatalf("∞ unmarshaled incorrectly")
    }
}

func TestG2Marshal(t *testing.T) {
    g := new(G2).ScalarBaseMult(new(big.Int).SetInt64(1))
    form := g.Marshal()
    _, ok := new(G2).Unmarshal(form)
    if !ok {
        t.Fatalf("failed to unmarshal")
    }

    g.ScalarBaseMult(Order)
    form = g.Marshal()
    g2, ok := new(G2).Unmarshal(form)
    if !ok {
        t.Fatalf("failed to unmarshal ∞")
    }
    if !g2.p.IsInfinity() {
        t.Fatalf("∞ unmarshaled incorrectly")
    }
}

func TestG1Identity(t *testing.T) {
    g := new(G1).ScalarBaseMult(new(big.Int).SetInt64(0))
    if !g.p.IsInfinity() {
        t.Error("failure")
    }
}

func TestG2Identity(t *testing.T) {
    g := new(G2).ScalarBaseMult(new(big.Int).SetInt64(0))
    if !g.p.IsInfinity() {
        t.Error("failure")
    }
}

func TestTripartiteDiffieHellman(t *testing.T) {
    a, _ := rand.Int(rand.Reader, Order)
    b, _ := rand.Int(rand.Reader, Order)
    c, _ := rand.Int(rand.Reader, Order)

    pa, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(a).Marshal())
    qa, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(a).Marshal())
    pb, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(b).Marshal())
    qb, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(b).Marshal())
    pc, _ := new(G1).Unmarshal(new(G1).ScalarBaseMult(c).Marshal())
    qc, _ := new(G2).Unmarshal(new(G2).ScalarBaseMult(c).Marshal())

    k1 := Pair(pb, qc)
    k1.ScalarMult(k1, a)
    k1Bytes := k1.Marshal()

    k2 := Pair(pc, qa)
    k2.ScalarMult(k2, b)
    k2Bytes := k2.Marshal()

    k3 := Pair(pa, qb)
    k3.ScalarMult(k3, c)
    k3Bytes := k3.Marshal()

    if !bytes.Equal(k1Bytes, k2Bytes) || !bytes.Equal(k2Bytes, k3Bytes) {
        t.Errorf("keys didn't agree")
    }
}

func BenchmarkPairing(b *testing.B) {
    for i := 0; i < b.N; i++ {
        Pair(&G1{curveGen}, &G2{twistGen})
    }
}