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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/scalarmult_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/scalarmult_test.go')
-rw-r--r-- | src/crypto/ed25519/internal/edwards25519/scalarmult_test.go | 209 |
1 files changed, 209 insertions, 0 deletions
diff --git a/src/crypto/ed25519/internal/edwards25519/scalarmult_test.go b/src/crypto/ed25519/internal/edwards25519/scalarmult_test.go new file mode 100644 index 0000000..c2027f5 --- /dev/null +++ b/src/crypto/ed25519/internal/edwards25519/scalarmult_test.go @@ -0,0 +1,209 @@ +// 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 ( + "testing" + "testing/quick" +) + +var ( + // quickCheckConfig32 will make each quickcheck test run (32 * -quickchecks) + // times. The default value of -quickchecks is 100. + quickCheckConfig32 = &quick.Config{MaxCountScale: 1 << 5} + + // a random scalar generated using dalek. + dalekScalar = Scalar{[32]byte{219, 106, 114, 9, 174, 249, 155, 89, 69, 203, 201, 93, 92, 116, 234, 187, 78, 115, 103, 172, 182, 98, 62, 103, 187, 136, 13, 100, 248, 110, 12, 4}} + // the above, times the edwards25519 basepoint. + dalekScalarBasepoint, _ = new(Point).SetBytes([]byte{0xf4, 0xef, 0x7c, 0xa, 0x34, 0x55, 0x7b, 0x9f, 0x72, 0x3b, 0xb6, 0x1e, 0xf9, 0x46, 0x9, 0x91, 0x1c, 0xb9, 0xc0, 0x6c, 0x17, 0x28, 0x2d, 0x8b, 0x43, 0x2b, 0x5, 0x18, 0x6a, 0x54, 0x3e, 0x48}) +) + +func TestScalarMultSmallScalars(t *testing.T) { + var z Scalar + var p Point + p.ScalarMult(&z, B) + if I.Equal(&p) != 1 { + t.Error("0*B != 0") + } + checkOnCurve(t, &p) + + z = Scalar{[32]byte{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}} + p.ScalarMult(&z, B) + if B.Equal(&p) != 1 { + t.Error("1*B != 1") + } + checkOnCurve(t, &p) +} + +func TestScalarMultVsDalek(t *testing.T) { + var p Point + p.ScalarMult(&dalekScalar, B) + if dalekScalarBasepoint.Equal(&p) != 1 { + t.Error("Scalar mul does not match dalek") + } + checkOnCurve(t, &p) +} + +func TestBaseMultVsDalek(t *testing.T) { + var p Point + p.ScalarBaseMult(&dalekScalar) + if dalekScalarBasepoint.Equal(&p) != 1 { + t.Error("Scalar mul does not match dalek") + } + checkOnCurve(t, &p) +} + +func TestVarTimeDoubleBaseMultVsDalek(t *testing.T) { + var p Point + var z Scalar + p.VarTimeDoubleScalarBaseMult(&dalekScalar, B, &z) + if dalekScalarBasepoint.Equal(&p) != 1 { + t.Error("VarTimeDoubleScalarBaseMult fails with b=0") + } + checkOnCurve(t, &p) + p.VarTimeDoubleScalarBaseMult(&z, B, &dalekScalar) + if dalekScalarBasepoint.Equal(&p) != 1 { + t.Error("VarTimeDoubleScalarBaseMult fails with a=0") + } + checkOnCurve(t, &p) +} + +func TestScalarMultDistributesOverAdd(t *testing.T) { + scalarMultDistributesOverAdd := func(x, y Scalar) bool { + var z Scalar + z.Add(&x, &y) + var p, q, r, check Point + p.ScalarMult(&x, B) + q.ScalarMult(&y, B) + r.ScalarMult(&z, B) + check.Add(&p, &q) + checkOnCurve(t, &p, &q, &r, &check) + return check.Equal(&r) == 1 + } + + if err := quick.Check(scalarMultDistributesOverAdd, quickCheckConfig32); err != nil { + t.Error(err) + } +} + +func TestScalarMultNonIdentityPoint(t *testing.T) { + // Check whether p.ScalarMult and q.ScalaBaseMult give the same, + // when p and q are originally set to the base point. + + scalarMultNonIdentityPoint := func(x Scalar) bool { + var p, q Point + p.Set(B) + q.Set(B) + + p.ScalarMult(&x, B) + q.ScalarBaseMult(&x) + + checkOnCurve(t, &p, &q) + + return p.Equal(&q) == 1 + } + + if err := quick.Check(scalarMultNonIdentityPoint, quickCheckConfig32); err != nil { + t.Error(err) + } +} + +func TestBasepointTableGeneration(t *testing.T) { + // The basepoint table is 32 affineLookupTables, + // corresponding to (16^2i)*B for table i. + basepointTable := basepointTable() + + tmp1 := &projP1xP1{} + tmp2 := &projP2{} + tmp3 := &Point{} + tmp3.Set(B) + table := make([]affineLookupTable, 32) + for i := 0; i < 32; i++ { + // Build the table + table[i].FromP3(tmp3) + // Assert equality with the hardcoded one + if table[i] != basepointTable[i] { + t.Errorf("Basepoint table %d does not match", i) + } + + // Set p = (16^2)*p = 256*p = 2^8*p + tmp2.FromP3(tmp3) + for j := 0; j < 7; j++ { + tmp1.Double(tmp2) + tmp2.FromP1xP1(tmp1) + } + tmp1.Double(tmp2) + tmp3.fromP1xP1(tmp1) + checkOnCurve(t, tmp3) + } +} + +func TestScalarMultMatchesBaseMult(t *testing.T) { + scalarMultMatchesBaseMult := func(x Scalar) bool { + var p, q Point + p.ScalarMult(&x, B) + q.ScalarBaseMult(&x) + checkOnCurve(t, &p, &q) + return p.Equal(&q) == 1 + } + + if err := quick.Check(scalarMultMatchesBaseMult, quickCheckConfig32); err != nil { + t.Error(err) + } +} + +func TestBasepointNafTableGeneration(t *testing.T) { + var table nafLookupTable8 + table.FromP3(B) + + if table != *basepointNafTable() { + t.Error("BasepointNafTable does not match") + } +} + +func TestVarTimeDoubleBaseMultMatchesBaseMult(t *testing.T) { + varTimeDoubleBaseMultMatchesBaseMult := func(x, y Scalar) bool { + var p, q1, q2, check Point + + p.VarTimeDoubleScalarBaseMult(&x, B, &y) + + q1.ScalarBaseMult(&x) + q2.ScalarBaseMult(&y) + check.Add(&q1, &q2) + + checkOnCurve(t, &p, &check, &q1, &q2) + return p.Equal(&check) == 1 + } + + if err := quick.Check(varTimeDoubleBaseMultMatchesBaseMult, quickCheckConfig32); err != nil { + t.Error(err) + } +} + +// Benchmarks. + +func BenchmarkScalarBaseMult(t *testing.B) { + var p Point + + for i := 0; i < t.N; i++ { + p.ScalarBaseMult(&dalekScalar) + } +} + +func BenchmarkScalarMult(t *testing.B) { + var p Point + + for i := 0; i < t.N; i++ { + p.ScalarMult(&dalekScalar, B) + } +} + +func BenchmarkVarTimeDoubleScalarBaseMult(t *testing.B) { + var p Point + + for i := 0; i < t.N; i++ { + p.VarTimeDoubleScalarBaseMult(&dalekScalar, B, &dalekScalar) + } +} |