package bls12381 import ( "crypto/rand" "fmt" "testing" "github.com/cloudflare/circl/ecc/bls12381/ff" "github.com/cloudflare/circl/internal/test" ) func randomG2(t testing.TB) *G2 { var P G2 k := randomScalar(t) P.ScalarMult(k, G2Generator()) if !P.isOnCurve() { t.Helper() t.Fatal("not on curve") } return &P } func TestG2Add(t *testing.T) { const testTimes = 1 << 6 var Q, R G2 for i := 0; i < testTimes; i++ { P := randomG2(t) Q = *P R = *P R.Add(&R, &R) R.Neg() Q.Double() Q.Neg() got := R want := Q if !got.IsEqual(&want) { test.ReportError(t, got, want, P) } } } func TestG2ScalarMult(t *testing.T) { const testTimes = 1 << 6 var Q G2 for i := 0; i < testTimes; i++ { P := randomG2(t) k := randomScalar(t) Q.ScalarMult(k, P) Q.toAffine() got := Q.IsOnG2() want := true if got != want { test.ReportError(t, got, want, P) } } } func TestG2Hash(t *testing.T) { const testTimes = 1 << 8 for _, e := range [...]struct { Name string Enc func(p *G2, input, dst []byte) }{ {"Encode", func(p *G2, input, dst []byte) { p.Encode(input, dst) }}, {"Hash", func(p *G2, input, dst []byte) { p.Hash(input, dst) }}, } { var msg, dst [4]byte var p G2 t.Run(e.Name, func(t *testing.T) { for i := 0; i < testTimes; i++ { _, _ = rand.Read(msg[:]) _, _ = rand.Read(dst[:]) e.Enc(&p, msg[:], dst[:]) got := p.isRTorsion() want := true if got != want { test.ReportError(t, got, want, e.Name, msg, dst) } } }) } } func TestG2Serial(t *testing.T) { mustOk := "must be ok" mustErr := "must be an error" t.Run("valid", func(t *testing.T) { testTimes := 1 << 6 var got, want G2 want.SetIdentity() for i := 0; i < testTimes; i++ { for _, b := range [][]byte{want.Bytes(), want.BytesCompressed()} { err := got.SetBytes(b) test.CheckNoErr(t, err, fmt.Sprintf("failure to deserialize: (P:%v b:%x)", want, b)) if !got.IsEqual(&want) { test.ReportError(t, got, want, b) } } want = *randomG2(t) } }) t.Run("badLength", func(t *testing.T) { q := new(G2) p := randomG2(t) b := p.Bytes() test.CheckIsErr(t, q.SetBytes(b[:0]), mustErr) test.CheckIsErr(t, q.SetBytes(b[:1]), mustErr) test.CheckIsErr(t, q.SetBytes(b[:G2Size-1]), mustErr) test.CheckIsErr(t, q.SetBytes(b[:G2SizeCompressed]), mustErr) test.CheckNoErr(t, q.SetBytes(b), mustOk) test.CheckNoErr(t, q.SetBytes(append(b, 0)), mustOk) b = p.BytesCompressed() test.CheckIsErr(t, q.SetBytes(b[:0]), mustErr) test.CheckIsErr(t, q.SetBytes(b[:1]), mustErr) test.CheckIsErr(t, q.SetBytes(b[:G2SizeCompressed-1]), mustErr) test.CheckNoErr(t, q.SetBytes(b), mustOk) test.CheckNoErr(t, q.SetBytes(append(b, 0)), mustOk) }) t.Run("badInfinity", func(t *testing.T) { var badInf, p G2 badInf.SetIdentity() b := badInf.Bytes() b[0] |= 0x1F err := p.SetBytes(b) test.CheckIsErr(t, err, mustErr) b[0] &= 0xE0 b[1] = 0xFF err = p.SetBytes(b) test.CheckIsErr(t, err, mustErr) }) t.Run("badCoords", func(t *testing.T) { bad := (&[ff.Fp2Size]byte{})[:] for i := range bad { bad[i] = 0xFF } var e ff.Fp2 _ = e[0].Random(rand.Reader) _ = e[1].Random(rand.Reader) good, err := e.MarshalBinary() test.CheckNoErr(t, err, mustOk) // bad x, good y b := append(bad, good...) b[0] = b[0]&0x1F | headerEncoding(0, 0, 0) test.CheckIsErr(t, new(G2).SetBytes(b), mustErr) // good x, bad y b = append(good, bad...) b[0] = b[0]&0x1F | headerEncoding(0, 0, 0) test.CheckIsErr(t, new(G2).SetBytes(b), mustErr) }) t.Run("noQR", func(t *testing.T) { var x ff.Fp2 // Let x=0, so x^3+4*(u+1) = 4*(u+1), which is not QR because (u+1) is not. b, err := x.MarshalBinary() test.CheckNoErr(t, err, mustOk) b[0] = b[0]&0x1F | headerEncoding(1, 0, 0) test.CheckIsErr(t, new(G2).SetBytes(b), mustErr) }) t.Run("notInG2", func(t *testing.T) { // p=(0,1) is not on curve. var x, y ff.Fp2 y[0].SetUint64(1) bx, err := x.MarshalBinary() test.CheckNoErr(t, err, mustOk) by, err := y.MarshalBinary() test.CheckNoErr(t, err, mustOk) b := append(bx, by...) b[0] = b[0]&0x1F | headerEncoding(0, 0, 0) test.CheckIsErr(t, new(G2).SetBytes(b), mustErr) }) } func BenchmarkG2(b *testing.B) { P := randomG2(b) Q := randomG2(b) k := randomScalar(b) var msg, dst [4]byte _, _ = rand.Read(msg[:]) _, _ = rand.Read(dst[:]) b.Run("Add", func(b *testing.B) { for i := 0; i < b.N; i++ { P.Add(P, Q) } }) b.Run("Mul", func(b *testing.B) { for i := 0; i < b.N; i++ { P.ScalarMult(k, P) } }) b.Run("Hash", func(b *testing.B) { for i := 0; i < b.N; i++ { P.Hash(msg[:], dst[:]) } }) } func TestG2Torsion(t *testing.T) { if !G2Generator().isRTorsion() { t.Fatalf("G2 generator is not r-torsion") } } func TestG2Bytes(t *testing.T) { got := new(G2) id := new(G2) id.SetIdentity() g := G2Generator() minusG := G2Generator() minusG.Neg() type testCase struct { header byte length int point *G2 toBytes func(G2) []byte } for i, v := range []testCase{ {headerEncoding(0, 0, 0), G2Size, randomG2(t), (G2).Bytes}, {headerEncoding(0, 0, 0), G2Size, g, (G2).Bytes}, {headerEncoding(1, 0, 0), G2SizeCompressed, g, (G2).BytesCompressed}, {headerEncoding(1, 0, 1), G2SizeCompressed, minusG, (G2).BytesCompressed}, {headerEncoding(0, 1, 0), G2Size, id, (G2).Bytes}, {headerEncoding(1, 1, 0), G2SizeCompressed, id, (G2).BytesCompressed}, } { b := v.toBytes(*v.point) test.CheckOk(len(b) == v.length, fmt.Sprintf("bad encoding size (case:%v point:%v b:%x)", i, v.point, b), t) test.CheckOk(b[0]&0xE0 == v.header, fmt.Sprintf("bad encoding header (case:%v point:%v b:%x)", i, v.point, b), t) err := got.SetBytes(b) want := v.point if err != nil || !got.IsEqual(want) { test.ReportError(t, got, want, i, b) } } }