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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-28 13:16:40 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-28 13:16:40 +0000
commit47ab3d4a42e9ab51c465c4322d2ec233f6324e6b (patch)
treea61a0ffd83f4a3def4b36e5c8e99630c559aa723 /src/crypto/ed25519/internal/edwards25519/scalarmult_test.go
parentInitial commit. (diff)
downloadgolang-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.go209
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
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+++ 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)
+ }
+}