/
curve_test.go
225 lines (214 loc) · 8.12 KB
/
curve_test.go
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package siec
import (
"crypto/elliptic"
"math/big"
"reflect"
"testing"
)
func TestDouble(t *testing.T) {
curve := SIEC255()
x1, y1 := curve.Gx, curve.Gy
x, y := curve.Double(x1, y1)
u, _ := new(big.Int).SetString("6784692728748995825599862402855483522016546426567910438357042338075027826575", 10)
v, _ := new(big.Int).SetString("14982863109320699114866362806305859444453206692004135551371801829915686450358", 10)
if x.Cmp(u) != 0 {
t.Errorf("curve.Double() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.Double() gotY = %v, want %v", y, v)
}
x, y = curve.Double(x, y)
u, _ = new(big.Int).SetString("12318642006867402687195826566147291859634823582672295191656499276835526033145", 10)
v, _ = new(big.Int).SetString("9343467693237486709905252998911952863134805995110526737200728195882424275543", 10)
if x.Cmp(u) != 0 {
t.Errorf("curve.Double() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.Double() gotY = %v, want %v", y, v)
}
}
func TestAdd(t *testing.T) {
curve := SIEC255()
x1, _ := new(big.Int).SetString("5", 10)
y1, _ := new(big.Int).SetString("12", 10)
x2, _ := new(big.Int).SetString("6784692728748995825599862402855483522016546426567910438357042338075027826575", 10)
y2, _ := new(big.Int).SetString("14982863109320699114866362806305859444453206692004135551371801829915686450358", 10)
x, y := curve.Add(x1, y1, x2, y2)
u, _ := new(big.Int).SetString("15508762693928266726769396085241920452527964114034020358226683933290603861217", 10)
v, _ := new(big.Int).SetString("14902066091748681388520350407103675753252739566337731413744921722214701412361", 10)
if x.Cmp(u) != 0 {
t.Errorf("curve.Add() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.Add() gotY = %v, want %v", y, v)
}
}
func TestIsOnCurve(t *testing.T) {
curve := SIEC255()
x, _ := new(big.Int).SetString("5", 10)
y, _ := new(big.Int).SetString("12", 10)
if !curve.IsOnCurve(x, y) {
t.Errorf("curve.IsOnCurve() got = %v, want %v", false, true)
}
y.Add(y, big.NewInt(1))
if curve.IsOnCurve(x, y) {
t.Errorf("curve.IsOnCurve() got = %v, want %v", true, false)
}
x, _ = new(big.Int).SetString("6784692728748995825599862402855483522016546426567910438357042338075027826575", 10)
y, _ = new(big.Int).SetString("14982863109320699114866362806305859444453206692004135551371801829915686450358", 10)
if !curve.IsOnCurve(x, y) {
t.Errorf("curve.IsOnCurve() got = %v, want %v", false, true)
}
x, _ = new(big.Int).SetString("15508762693928266726769396085241920452527964114034020358226683933290603861217", 10)
y, _ = new(big.Int).SetString("14902066091748681388520350407103675753252739566337731413744921722214701412361", 10)
if !curve.IsOnCurve(x, y) {
t.Errorf("curve.IsOnCurve() got = %v, want %v", false, true)
}
}
func TestScale(t *testing.T) {
curve := SIEC255()
x, y := curve.ScalarBaseMult([]byte{0x40})
u, _ := new(big.Int).SetString("22784956368772284587014129354783824301122808969944262244690262244567645543628", 10)
v, _ := new(big.Int).SetString("15122902039027963115899162435007755480175091927763482548168795824636596047001", 10)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
}
func TestScaleP256(t *testing.T) {
// Sage:
// P256 = EllipticCurve(GF(115792089210356248762697446949407573530086143415290314195533631308867097853951),[-3,0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b])
// G = P256([0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296,0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5])
// 0x4001*G
curve := elliptic.P256()
x, y := curve.ScalarBaseMult([]byte{0x40, 0x1})
u, _ := new(big.Int).SetString("72695894326801153147216665794252886088922051068954702128373097767796982305416", 10)
v, _ := new(big.Int).SetString("115052900738981503025783750032562471330247412874189631362047844261308430634379", 10)
if x.Cmp(u) != 0 {
t.Errorf("P256.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("P256.ScalarBaseMult() gotY = %v, want %v", y, v)
}
}
func TestLiftX(t *testing.T) {
curve := SIEC255()
type args struct {
X *big.Int
}
tests := []struct {
name string
args args
wantX *big.Int
wantY *big.Int
}{
{"generator lifts correctly", args{curve.Gx}, curve.Gx, curve.Gy},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
gotX, gotY := curve.liftX(tt.args.X)
if !reflect.DeepEqual(gotX, tt.wantX) {
t.Errorf("LiftX() gotX = %v, want %v", gotX, tt.wantX)
}
if !reflect.DeepEqual(gotY, tt.wantY) {
t.Errorf("LiftX() gotY = %v, want %v", gotY, tt.wantY)
}
})
}
}
func TestCompress(t *testing.T) {
curve := SIEC255()
var x1, y1, x2, y2 *big.Int
x1, _ = new(big.Int).SetString("5", 10)
y1, _ = new(big.Int).SetString("12", 10)
x2, y2 = curve.Decompress(curve.Compress(x1, y1))
if x2.Cmp(x1) != 0 || y2.Cmp(y1) != 0 {
t.Errorf("(%v,%v) did not compress/decompress correctly, got (%v,%v)", x1, y1, x2, y2)
}
x1, _ = new(big.Int).SetString("6784692728748995825599862402855483522016546426567910438357042338075027826575", 10)
y1, _ = new(big.Int).SetString("14982863109320699114866362806305859444453206692004135551371801829915686450358", 10)
x2, y2 = curve.Decompress(curve.Compress(x1, y1))
if x2.Cmp(x1) != 0 || y2.Cmp(y1) != 0 {
t.Errorf("(%v,%v) did not compress/decompress correctly, got (%v,%v)", x1, y1, x2, y2)
}
}
func TestCompressRandom(t *testing.T) {
curve := SIEC255()
for i := 0; i < 10; i++ {
x1, y1 := curve.ScalarBaseMult(hash(i))
x2, y2 := curve.Decompress(curve.Compress(x1, y1))
if x2.Cmp(x1) != 0 || y2.Cmp(y1) != 0 {
t.Errorf("(%v,%v) did not compress/decompress correctly, got (%v,%v)", x1, y1, x2, y2)
}
}
}
func TestScalarMult2Random(t *testing.T) {
curve := SIEC255()
for i := 0; i < 10; i++ {
x, y := curve.ScalarBaseMult(hash(i))
u, v := curve.scalarMult2(curve.Gx, curve.Gy, hash(i))
if x.Cmp(u) != 0 || y.Cmp(v) != 0 {
t.Errorf("wanted (%v,%v), got (%v,%v)", x, y, u, v)
}
}
}
func TestEndomorphism(t *testing.T) {
curve := SIEC255()
x, y := curve.Gx, curve.Gy
u, _ := new(big.Int).SetString("28948022309329048855892746252183396359753225502720738378331610790540530405116", 10)
v, _ := new(big.Int).SetString("28948022309329048855892746252183396360603931420023084536990047309120118726709", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
u, _ = new(big.Int).SetString("850705917302346158658436518579588321600", 10)
v, _ = new(big.Int).SetString("12", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
u, _ = new(big.Int).SetString("5", 10)
v, _ = new(big.Int).SetString("28948022309329048855892746252183396360603931420023084536990047309120118726709", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
u, _ = new(big.Int).SetString("28948022309329048855892746252183396359753225502720738378331610790540530405116", 10)
v, _ = new(big.Int).SetString("12", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
u, _ = new(big.Int).SetString("850705917302346158658436518579588321600", 10)
v, _ = new(big.Int).SetString("28948022309329048855892746252183396360603931420023084536990047309120118726709", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
u, _ = new(big.Int).SetString("5", 10)
v, _ = new(big.Int).SetString("12", 10)
x, y = curve.phi(x, y)
if x.Cmp(u) != 0 {
t.Errorf("curve.ScalarBaseMult() gotX = %v, want %v", x, u)
}
if y.Cmp(v) != 0 {
t.Errorf("curve.ScalarBaseMult() gotY = %v, want %v", y, v)
}
}