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|
package edwards25519_test
import (
"math/big"
"math/rand"
"os"
"testing"
"github.com/bwesterb/go-ristretto/edwards25519"
)
var bi25519 big.Int
var biL big.Int
var rnd *rand.Rand
func TestFeBigIntPacking(t *testing.T) {
var bi big.Int
var fe edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
if fe.BigInt().Cmp(&bi) != 0 {
t.Fatalf("BigInt o SetBigInt != id (%v != %v)", &bi, fe.BigInt())
}
}
}
func TestFePacking(t *testing.T) {
var bi big.Int
var fe1, fe2 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi.Rand(rnd, &bi25519)
fe1.SetBigInt(&bi)
buf := fe1.Bytes()
fe2.SetBytes(&buf)
if !fe1.Equals(&fe2) {
t.Fatalf("SetBytes o Bytes != id (%v != %v)", &fe1, &fe2)
}
}
}
// TODO test unnormalized field elements
func TestFeMul(t *testing.T) {
var bi1, bi2, bi3 big.Int
var fe1, fe2, fe3 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi1.Rand(rnd, &bi25519)
bi2.Rand(rnd, &bi25519)
bi3.Mul(&bi1, &bi2)
bi3.Mod(&bi3, &bi25519)
fe1.SetBigInt(&bi1)
fe2.SetBigInt(&bi2)
if fe3.Mul(&fe1, &fe2).BigInt().Cmp(&bi3) != 0 {
t.Fatalf("%v * %v = %v != %v", &bi1, &bi2, &bi3, &fe3)
}
}
}
func TestFeSquare(t *testing.T) {
var bi1, bi2 big.Int
var fe1, fe2 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi1.Rand(rnd, &bi25519)
bi2.Mul(&bi1, &bi1)
bi2.Mod(&bi2, &bi25519)
fe1.SetBigInt(&bi1)
if fe2.Square(&fe1).BigInt().Cmp(&bi2) != 0 {
t.Fatalf("%v^2 = %v != %v", &bi1, &bi2, &fe2)
}
}
}
func TestFeSub(t *testing.T) {
var bi1, bi2, bi3 big.Int
var fe1, fe2, fe3 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi1.Rand(rnd, &bi25519)
bi2.Rand(rnd, &bi25519)
bi3.Sub(&bi1, &bi2)
bi3.Mod(&bi3, &bi25519)
fe1.SetBigInt(&bi1)
fe2.SetBigInt(&bi2)
if fe3.Sub(&fe1, &fe2).BigInt().Cmp(&bi3) != 0 {
t.Fatalf("%v - %v = %v != %v", &bi1, &bi2, &bi3, &fe3)
}
}
}
func TestFeAdd(t *testing.T) {
var bi1, bi2, bi3 big.Int
var fe1, fe2, fe3 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi1.Rand(rnd, &bi25519)
bi2.Rand(rnd, &bi25519)
bi3.Add(&bi1, &bi2)
bi3.Mod(&bi3, &bi25519)
fe1.SetBigInt(&bi1)
fe2.SetBigInt(&bi2)
if fe3.Add(&fe1, &fe2).BigInt().Cmp(&bi3) != 0 {
t.Fatalf("%v + %v = %v != %v", &bi1, &bi2, &bi3, &fe3)
}
}
}
func TestFeInverse(t *testing.T) {
var bi1, bi2 big.Int
var fe1, fe2 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi1.Rand(rnd, &bi25519)
bi2.ModInverse(&bi1, &bi25519)
fe1.SetBigInt(&bi1)
if fe2.Inverse(&fe1).BigInt().Cmp(&bi2) != 0 {
t.Fatalf("1/%v = %v != %v", &bi1, &bi2, &fe2)
}
}
}
func TestFeInvSqrtI(t *testing.T) {
var bi big.Int
var fe1, fe2, feI edwards25519.FieldElement
feI.SetI()
for i := 0; i < 100; i++ {
bi.Rand(rnd, &bi25519)
fe1.SetBigInt(&bi)
sq := fe2.InvSqrtI(&fe1)
if sq == 0 {
fe1.Mul(&fe1, &feI)
}
fe2.Mul(&fe2, &fe1)
fe2.Square(&fe2)
if !fe1.Equals(&fe2) {
t.Fatalf("InvSqrtI(%v) incorrect", &bi)
}
}
}
func TestFeSqrt(t *testing.T) {
var bi big.Int
var fe1, fe2 edwards25519.FieldElement
for i := 0; i < 100; i++ {
bi.Rand(rnd, &bi25519)
bi.Mul(&bi, &bi)
bi.Mod(&bi, &bi25519)
fe1.SetBigInt(&bi)
fe2.Sqrt(&fe1)
if fe2.IsNegativeI() == 1 {
t.Fatalf("Sqrt(%v) is negative", &bi)
}
fe2.Square(&fe2)
if !fe1.Equals(&fe2) {
t.Fatalf("Sqrt(%v) incorrect", &bi)
}
}
}
func BenchmarkFeInverse(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.Inverse(&fe)
}
}
func BenchmarkFeSquare(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.Square(&fe)
}
}
func BenchmarkFeDoubledSquare(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.DoubledSquare(&fe)
}
}
func BenchmarkFeMul(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.Mul(&fe, &fe)
}
}
func BenchmarkFeIsNonZero(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.IsNonZeroI()
}
}
func BenchmarkFePack(b *testing.B) {
var fe edwards25519.FieldElement
var buf [32]byte
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.BytesInto(&buf)
}
}
func BenchmarkFeUnpack(b *testing.B) {
var fe edwards25519.FieldElement
var buf [32]byte
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.SetBytes(&buf)
}
}
func BenchmarkFeInvSqrtI(b *testing.B) {
var fe edwards25519.FieldElement
var bi big.Int
bi.Rand(rnd, &bi25519)
fe.SetBigInt(&bi)
b.ResetTimer()
for n := 0; n < b.N; n++ {
fe.InvSqrtI(&fe)
}
}
func TestMain(m *testing.M) {
bi25519.SetString(
"7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed", 16)
biL.SetString(
"1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed", 16)
rnd = rand.New(rand.NewSource(37))
os.Exit(m.Run())
}
|
