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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-28 13:16:40 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-28 13:16:40 +0000 |
commit | 47ab3d4a42e9ab51c465c4322d2ec233f6324e6b (patch) | |
tree | a61a0ffd83f4a3def4b36e5c8e99630c559aa723 /src/crypto/ed25519/internal/edwards25519/scalar_test.go | |
parent | Initial commit. (diff) | |
download | golang-1.18-upstream.tar.xz golang-1.18-upstream.zip |
Adding upstream version 1.18.10.upstream/1.18.10upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/crypto/ed25519/internal/edwards25519/scalar_test.go')
-rw-r--r-- | src/crypto/ed25519/internal/edwards25519/scalar_test.go | 233 |
1 files changed, 233 insertions, 0 deletions
diff --git a/src/crypto/ed25519/internal/edwards25519/scalar_test.go b/src/crypto/ed25519/internal/edwards25519/scalar_test.go new file mode 100644 index 0000000..704caff --- /dev/null +++ b/src/crypto/ed25519/internal/edwards25519/scalar_test.go @@ -0,0 +1,233 @@ +// Copyright (c) 2019 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 edwards25519 + +import ( + "bytes" + "encoding/hex" + "math/big" + mathrand "math/rand" + "reflect" + "testing" + "testing/quick" +) + +// Generate returns a valid (reduced modulo l) Scalar with a distribution +// weighted towards high, low, and edge values. +func (Scalar) Generate(rand *mathrand.Rand, size int) reflect.Value { + s := scZero + diceRoll := rand.Intn(100) + switch { + case diceRoll == 0: + case diceRoll == 1: + s = scOne + case diceRoll == 2: + s = scMinusOne + case diceRoll < 5: + // Generate a low scalar in [0, 2^125). + rand.Read(s.s[:16]) + s.s[15] &= (1 << 5) - 1 + case diceRoll < 10: + // Generate a high scalar in [2^252, 2^252 + 2^124). + s.s[31] = 1 << 4 + rand.Read(s.s[:16]) + s.s[15] &= (1 << 4) - 1 + default: + // Generate a valid scalar in [0, l) by returning [0, 2^252) which has a + // negligibly different distribution (the former has a 2^-127.6 chance + // of being out of the latter range). + rand.Read(s.s[:]) + s.s[31] &= (1 << 4) - 1 + } + return reflect.ValueOf(s) +} + +// quickCheckConfig1024 will make each quickcheck test run (1024 * -quickchecks) +// times. The default value of -quickchecks is 100. +var quickCheckConfig1024 = &quick.Config{MaxCountScale: 1 << 10} + +func TestScalarGenerate(t *testing.T) { + f := func(sc Scalar) bool { + return isReduced(&sc) + } + if err := quick.Check(f, quickCheckConfig1024); err != nil { + t.Errorf("generated unreduced scalar: %v", err) + } +} + +func TestScalarSetCanonicalBytes(t *testing.T) { + f1 := func(in [32]byte, sc Scalar) bool { + // Mask out top 4 bits to guarantee value falls in [0, l). + in[len(in)-1] &= (1 << 4) - 1 + if _, err := sc.SetCanonicalBytes(in[:]); err != nil { + return false + } + return bytes.Equal(in[:], sc.Bytes()) && isReduced(&sc) + } + if err := quick.Check(f1, quickCheckConfig1024); err != nil { + t.Errorf("failed bytes->scalar->bytes round-trip: %v", err) + } + + f2 := func(sc1, sc2 Scalar) bool { + if _, err := sc2.SetCanonicalBytes(sc1.Bytes()); err != nil { + return false + } + return sc1 == sc2 + } + if err := quick.Check(f2, quickCheckConfig1024); err != nil { + t.Errorf("failed scalar->bytes->scalar round-trip: %v", err) + } + + b := scMinusOne.s + b[31] += 1 + s := scOne + if out, err := s.SetCanonicalBytes(b[:]); err == nil { + t.Errorf("SetCanonicalBytes worked on a non-canonical value") + } else if s != scOne { + t.Errorf("SetCanonicalBytes modified its receiver") + } else if out != nil { + t.Errorf("SetCanonicalBytes did not return nil with an error") + } +} + +func TestScalarSetUniformBytes(t *testing.T) { + mod, _ := new(big.Int).SetString("27742317777372353535851937790883648493", 10) + mod.Add(mod, new(big.Int).Lsh(big.NewInt(1), 252)) + f := func(in [64]byte, sc Scalar) bool { + sc.SetUniformBytes(in[:]) + if !isReduced(&sc) { + return false + } + scBig := bigIntFromLittleEndianBytes(sc.s[:]) + inBig := bigIntFromLittleEndianBytes(in[:]) + return inBig.Mod(inBig, mod).Cmp(scBig) == 0 + } + if err := quick.Check(f, quickCheckConfig1024); err != nil { + t.Error(err) + } +} + +func TestScalarSetBytesWithClamping(t *testing.T) { + // Generated with libsodium.js 1.0.18 crypto_scalarmult_ed25519_base. + + random := "633d368491364dc9cd4c1bf891b1d59460face1644813240a313e61f2c88216e" + s := new(Scalar).SetBytesWithClamping(decodeHex(random)) + p := new(Point).ScalarBaseMult(s) + want := "1d87a9026fd0126a5736fe1628c95dd419172b5b618457e041c9c861b2494a94" + if got := hex.EncodeToString(p.Bytes()); got != want { + t.Errorf("random: got %q, want %q", got, want) + } + + zero := "0000000000000000000000000000000000000000000000000000000000000000" + s = new(Scalar).SetBytesWithClamping(decodeHex(zero)) + p = new(Point).ScalarBaseMult(s) + want = "693e47972caf527c7883ad1b39822f026f47db2ab0e1919955b8993aa04411d1" + if got := hex.EncodeToString(p.Bytes()); got != want { + t.Errorf("zero: got %q, want %q", got, want) + } + + one := "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + s = new(Scalar).SetBytesWithClamping(decodeHex(one)) + p = new(Point).ScalarBaseMult(s) + want = "12e9a68b73fd5aacdbcaf3e88c46fea6ebedb1aa84eed1842f07f8edab65e3a7" + if got := hex.EncodeToString(p.Bytes()); got != want { + t.Errorf("one: got %q, want %q", got, want) + } +} + +func bigIntFromLittleEndianBytes(b []byte) *big.Int { + bb := make([]byte, len(b)) + for i := range b { + bb[i] = b[len(b)-i-1] + } + return new(big.Int).SetBytes(bb) +} + +func TestScalarMultiplyDistributesOverAdd(t *testing.T) { + multiplyDistributesOverAdd := func(x, y, z Scalar) bool { + // Compute t1 = (x+y)*z + var t1 Scalar + t1.Add(&x, &y) + t1.Multiply(&t1, &z) + + // Compute t2 = x*z + y*z + var t2 Scalar + var t3 Scalar + t2.Multiply(&x, &z) + t3.Multiply(&y, &z) + t2.Add(&t2, &t3) + + return t1 == t2 && isReduced(&t1) && isReduced(&t3) + } + + if err := quick.Check(multiplyDistributesOverAdd, quickCheckConfig1024); err != nil { + t.Error(err) + } +} + +func TestScalarAddLikeSubNeg(t *testing.T) { + addLikeSubNeg := func(x, y Scalar) bool { + // Compute t1 = x - y + var t1 Scalar + t1.Subtract(&x, &y) + + // Compute t2 = -y + x + var t2 Scalar + t2.Negate(&y) + t2.Add(&t2, &x) + + return t1 == t2 && isReduced(&t1) + } + + if err := quick.Check(addLikeSubNeg, quickCheckConfig1024); err != nil { + t.Error(err) + } +} + +func TestScalarNonAdjacentForm(t *testing.T) { + s := Scalar{[32]byte{ + 0x1a, 0x0e, 0x97, 0x8a, 0x90, 0xf6, 0x62, 0x2d, + 0x37, 0x47, 0x02, 0x3f, 0x8a, 0xd8, 0x26, 0x4d, + 0xa7, 0x58, 0xaa, 0x1b, 0x88, 0xe0, 0x40, 0xd1, + 0x58, 0x9e, 0x7b, 0x7f, 0x23, 0x76, 0xef, 0x09, + }} + expectedNaf := [256]int8{ + 0, 13, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, -11, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, + 0, 0, 0, 0, 9, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 11, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, + -9, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 9, 0, + 0, 0, 0, -15, 0, 0, 0, 0, -7, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, -3, 0, + 0, 0, 0, -11, 0, 0, 0, 0, -7, 0, 0, 0, 0, -13, 0, 0, 0, 0, 11, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 1, 0, 0, + 0, 0, 0, -15, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 13, 0, 0, 0, + 0, 0, 0, 11, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 7, + 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 15, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, + } + + sNaf := s.nonAdjacentForm(5) + + for i := 0; i < 256; i++ { + if expectedNaf[i] != sNaf[i] { + t.Errorf("Wrong digit at position %d, got %d, expected %d", i, sNaf[i], expectedNaf[i]) + } + } +} + +type notZeroScalar Scalar + +func (notZeroScalar) Generate(rand *mathrand.Rand, size int) reflect.Value { + var s Scalar + for s == scZero { + s = Scalar{}.Generate(rand, size).Interface().(Scalar) + } + return reflect.ValueOf(notZeroScalar(s)) +} + +func TestScalarEqual(t *testing.T) { + if scOne.Equal(&scMinusOne) == 1 { + t.Errorf("scOne.Equal(&scMinusOne) is true") + } + if scMinusOne.Equal(&scMinusOne) == 0 { + t.Errorf("scMinusOne.Equal(&scMinusOne) is false") + } +} |