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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-13 11:41:41 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-13 11:41:41 +0000
commit5d920465245906e2250c288c2b1ffea608a37539 (patch)
tree8d52f82e5d4a1717f136c7e5f6c389464c403e79 /dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go
parentReleasing progress-linux version 1.1.1-2~progress7.99u1. (diff)
downloadicingadb-5d920465245906e2250c288c2b1ffea608a37539.tar.xz
icingadb-5d920465245906e2250c288c2b1ffea608a37539.zip
Merging upstream version 1.2.0.
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go')
-rw-r--r--dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go311
1 files changed, 311 insertions, 0 deletions
diff --git a/dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go b/dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go
new file mode 100644
index 0000000..fe511bd
--- /dev/null
+++ b/dependencies/pkg/mod/filippo.io/edwards25519@v1.1.0/edwards25519_test.go
@@ -0,0 +1,311 @@
+// 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 (
+ "encoding/hex"
+ "reflect"
+ "testing"
+
+ "filippo.io/edwards25519/field"
+)
+
+var B = NewGeneratorPoint()
+var I = NewIdentityPoint()
+
+func checkOnCurve(t *testing.T, points ...*Point) {
+ t.Helper()
+ for i, p := range points {
+ var XX, YY, ZZ, ZZZZ field.Element
+ XX.Square(&p.x)
+ YY.Square(&p.y)
+ ZZ.Square(&p.z)
+ ZZZZ.Square(&ZZ)
+ // -x² + y² = 1 + dx²y²
+ // -(X/Z)² + (Y/Z)² = 1 + d(X/Z)²(Y/Z)²
+ // (-X² + Y²)/Z² = 1 + (dX²Y²)/Z⁴
+ // (-X² + Y²)*Z² = Z⁴ + dX²Y²
+ var lhs, rhs field.Element
+ lhs.Subtract(&YY, &XX).Multiply(&lhs, &ZZ)
+ rhs.Multiply(d, &XX).Multiply(&rhs, &YY).Add(&rhs, &ZZZZ)
+ if lhs.Equal(&rhs) != 1 {
+ t.Errorf("X, Y, and Z do not specify a point on the curve\nX = %v\nY = %v\nZ = %v", p.x, p.y, p.z)
+ }
+ // xy = T/Z
+ lhs.Multiply(&p.x, &p.y)
+ rhs.Multiply(&p.z, &p.t)
+ if lhs.Equal(&rhs) != 1 {
+ t.Errorf("point %d is not valid\nX = %v\nY = %v\nZ = %v", i, p.x, p.y, p.z)
+ }
+ }
+}
+
+func TestGenerator(t *testing.T) {
+ // These are the coordinates of B from RFC 8032, Section 5.1, converted to
+ // little endian hex.
+ x := "1ad5258f602d56c9b2a7259560c72c695cdcd6fd31e2a4c0fe536ecdd3366921"
+ y := "5866666666666666666666666666666666666666666666666666666666666666"
+ if got := hex.EncodeToString(B.x.Bytes()); got != x {
+ t.Errorf("wrong B.x: got %s, expected %s", got, x)
+ }
+ if got := hex.EncodeToString(B.y.Bytes()); got != y {
+ t.Errorf("wrong B.y: got %s, expected %s", got, y)
+ }
+ if B.z.Equal(feOne) != 1 {
+ t.Errorf("wrong B.z: got %v, expected 1", B.z)
+ }
+ // Check that t is correct.
+ checkOnCurve(t, B)
+}
+
+func TestAddSubNegOnBasePoint(t *testing.T) {
+ checkLhs, checkRhs := &Point{}, &Point{}
+
+ checkLhs.Add(B, B)
+ tmpP2 := new(projP2).FromP3(B)
+ tmpP1xP1 := new(projP1xP1).Double(tmpP2)
+ checkRhs.fromP1xP1(tmpP1xP1)
+ if checkLhs.Equal(checkRhs) != 1 {
+ t.Error("B + B != [2]B")
+ }
+ checkOnCurve(t, checkLhs, checkRhs)
+
+ checkLhs.Subtract(B, B)
+ Bneg := new(Point).Negate(B)
+ checkRhs.Add(B, Bneg)
+ if checkLhs.Equal(checkRhs) != 1 {
+ t.Error("B - B != B + (-B)")
+ }
+ if I.Equal(checkLhs) != 1 {
+ t.Error("B - B != 0")
+ }
+ if I.Equal(checkRhs) != 1 {
+ t.Error("B + (-B) != 0")
+ }
+ checkOnCurve(t, checkLhs, checkRhs, Bneg)
+}
+
+func TestComparable(t *testing.T) {
+ if reflect.TypeOf(Point{}).Comparable() {
+ t.Error("Point is unexpectedly comparable")
+ }
+}
+
+func TestInvalidEncodings(t *testing.T) {
+ // An invalid point, that also happens to have y > p.
+ invalid := "efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f"
+ p := NewGeneratorPoint()
+ if out, err := p.SetBytes(decodeHex(invalid)); err == nil {
+ t.Error("expected error for invalid point")
+ } else if out != nil {
+ t.Error("SetBytes did not return nil on an invalid encoding")
+ } else if p.Equal(B) != 1 {
+ t.Error("the Point was modified while decoding an invalid encoding")
+ }
+ checkOnCurve(t, p)
+}
+
+func TestNonCanonicalPoints(t *testing.T) {
+ type test struct {
+ name string
+ encoding, canonical string
+ }
+ tests := []test{
+ // Points with x = 0 and the sign bit set. With x = 0 the curve equation
+ // gives y² = 1, so y = ±1. 1 has two valid encodings.
+ {
+ "y=1,sign-",
+ "0100000000000000000000000000000000000000000000000000000000000080",
+ "0100000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+1,sign-",
+ "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0100000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p-1,sign-",
+ "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ },
+
+ // Non-canonical y encodings with values 2²⁵⁵-19 (p) to 2²⁵⁵-1 (p+18).
+ {
+ "y=p,sign+",
+ "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0000000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p,sign-",
+ "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0000000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+1,sign+",
+ "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0100000000000000000000000000000000000000000000000000000000000000",
+ },
+ // "y=p+1,sign-" is already tested above.
+ // p+2 is not a valid y-coordinate.
+ {
+ "y=p+3,sign+",
+ "f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0300000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+3,sign-",
+ "f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0300000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+4,sign+",
+ "f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0400000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+4,sign-",
+ "f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0400000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+5,sign+",
+ "f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0500000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+5,sign-",
+ "f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0500000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+6,sign+",
+ "f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0600000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+6,sign-",
+ "f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0600000000000000000000000000000000000000000000000000000000000080",
+ },
+ // p+7 is not a valid y-coordinate.
+ // p+8 is not a valid y-coordinate.
+ {
+ "y=p+9,sign+",
+ "f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0900000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+9,sign-",
+ "f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0900000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+10,sign+",
+ "f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0a00000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+10,sign-",
+ "f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0a00000000000000000000000000000000000000000000000000000000000080",
+ },
+ // p+11 is not a valid y-coordinate.
+ // p+12 is not a valid y-coordinate.
+ // p+13 is not a valid y-coordinate.
+ {
+ "y=p+14,sign+",
+ "fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0e00000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+14,sign-",
+ "fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0e00000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+15,sign+",
+ "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "0f00000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+15,sign-",
+ "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "0f00000000000000000000000000000000000000000000000000000000000080",
+ },
+ {
+ "y=p+16,sign+",
+ "fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "1000000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+16,sign-",
+ "fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "1000000000000000000000000000000000000000000000000000000000000080",
+ },
+ // p+17 is not a valid y-coordinate.
+ {
+ "y=p+18,sign+",
+ "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
+ "1200000000000000000000000000000000000000000000000000000000000000",
+ },
+ {
+ "y=p+18,sign-",
+ "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ "1200000000000000000000000000000000000000000000000000000000000080",
+ },
+ }
+ for _, tt := range tests {
+ t.Run(tt.name, func(t *testing.T) {
+ p1, err := new(Point).SetBytes(decodeHex(tt.encoding))
+ if err != nil {
+ t.Fatalf("error decoding non-canonical point: %v", err)
+ }
+ p2, err := new(Point).SetBytes(decodeHex(tt.canonical))
+ if err != nil {
+ t.Fatalf("error decoding canonical point: %v", err)
+ }
+ if p1.Equal(p2) != 1 {
+ t.Errorf("equivalent points are not equal: %v, %v", p1, p2)
+ }
+ if encoding := hex.EncodeToString(p1.Bytes()); encoding != tt.canonical {
+ t.Errorf("re-encoding does not match canonical; got %q, expected %q", encoding, tt.canonical)
+ }
+ checkOnCurve(t, p1, p2)
+ })
+ }
+}
+
+var testAllocationsSink byte
+
+func TestAllocations(t *testing.T) {
+ if allocs := testing.AllocsPerRun(100, func() {
+ p := NewIdentityPoint()
+ p.Add(p, NewGeneratorPoint())
+ s := NewScalar()
+ testAllocationsSink ^= s.Bytes()[0]
+ testAllocationsSink ^= p.Bytes()[0]
+ }); allocs > 0 {
+ t.Errorf("expected zero allocations, got %0.1v", allocs)
+ }
+}
+
+func decodeHex(s string) []byte {
+ b, err := hex.DecodeString(s)
+ if err != nil {
+ panic(err)
+ }
+ return b
+}
+
+func BenchmarkEncodingDecoding(b *testing.B) {
+ p := new(Point).Set(dalekScalarBasepoint)
+ for i := 0; i < b.N; i++ {
+ buf := p.Bytes()
+ _, err := p.SetBytes(buf)
+ if err != nil {
+ b.Fatal(err)
+ }
+ }
+}