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didier amyot committed 2014-11-29 22:40:35 -08:00
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package paillier
import (
"crypto/rand"
"math/big"
"reflect"
"testing"
)
var MockGenerateSafePrimes = func() (*big.Int, *big.Int, error) {
return big.NewInt(887), big.NewInt(443), nil
}
func AreSafePrimes(p, q *big.Int, expectedLength int, t *testing.T) {
if l := p.BitLen(); l != expectedLength {
t.Error("p does not have the good length. ", l)
}
if l := q.BitLen(); l != expectedLength-1 {
t.Error("q does not have the good length. ", l)
}
if !p.ProbablyPrime(100) {
t.Error("p is not a probable prime :(")
}
if !q.ProbablyPrime(100) {
t.Error("q is not a probable prime :(")
}
if p.Int64() != 2*q.Int64()+1 {
t.Error("p does not equals 2 * q + 1")
}
}
func TestGenerateSafePrimesOfThresholdKeyGenerator(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Random = rand.Reader
p, q, err := tkh.GenerateSafePrimes()
if err != nil {
t.Error(err)
return
}
AreSafePrimes(p, q, 10, t)
}
func TestInitPandP1(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Random = rand.Reader
tkh.InitPandP1()
AreSafePrimes(tkh.p, tkh.p1, 10, t)
}
func TestInitQandQ1(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Random = rand.Reader
tkh.InitQandQ1()
AreSafePrimes(tkh.q, tkh.q1, 10, t)
}
func TestInitPsAndQs(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Random = rand.Reader
tkh.InitPsAndQs()
AreSafePrimes(tkh.q, tkh.q1, 10, t)
AreSafePrimes(tkh.q, tkh.q1, 10, t)
}
func TestArePsAndQsGood(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.p, tkh.p1, tkh.q, tkh.q1 = b(6), b(5), b(4), b(3)
if !tkh.ArePsAndQsGood() {
t.Fail()
}
tkh.p, tkh.p1, tkh.q, tkh.q1 = b(6), b(5), b(6), b(3)
if tkh.ArePsAndQsGood() {
t.Fail()
}
tkh.p, tkh.p1, tkh.q, tkh.q1 = b(6), b(5), b(5), b(3)
if tkh.ArePsAndQsGood() {
t.Fail()
}
}
func TestInitShortcuts(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.p, tkh.p1, tkh.q, tkh.q1 = b(11), b(7), b(5), b(3)
tkh.InitShortcuts()
if n(tkh.n) != 11*5 {
t.Error("wrong n", tkh.n)
}
if n(tkh.m) != 7*3 {
t.Error("wrong m", tkh.m)
}
if n(tkh.nm) != 11*5*7*3 {
t.Error("wrong nm", tkh.nm)
}
if n(tkh.nSquare) != 11*5*11*5 {
t.Error("wrong nSquare", tkh.nSquare)
}
}
func TestInitD(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.p, tkh.p1, tkh.q, tkh.q1 = b(863), b(431), b(839), b(419)
tkh.InitShortcuts()
tkh.InitD()
if n(tkh.d)%n(tkh.m) != 0 {
t.Fail()
}
if n(tkh.d)%n(tkh.n) != 1 {
t.Fail()
}
}
func TestInitNumerialValues(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Random = rand.Reader
if err := tkh.InitNumerialValues(); err != nil {
t.Error(err)
}
}
func TestGenerateHidingPolynomial(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Threshold = 10
tkh.Random = rand.Reader
if err := tkh.InitNumerialValues(); err != nil {
t.Error(err)
return
}
if err := tkh.GenerateHidingPolynomial(); err != nil {
t.Error(err)
}
p := tkh.polynomialCoefficients
if len(p) != tkh.Threshold {
t.Fail()
return
}
if n(p[0]) != n(tkh.d) {
t.Fail()
}
for i := 1; i < len(p); i++ {
if j := n(p[i]); j < 0 || j >= n(tkh.nm) {
t.Fail()
}
}
}
func TestComputeShare(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Threshold = 3
tkh.TotalNumberOfDecryptionServers = 5
tkh.nm = b(103)
tkh.polynomialCoefficients = []*big.Int{b(29), b(88), b(51)}
share := tkh.ComputeShare(2)
if n(share) != 31 {
t.Error("error computing a share. ", share)
}
}
func TestCreateShares(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.nbits = 10
tkh.Threshold = 10
tkh.TotalNumberOfDecryptionServers = 100
tkh.Random = rand.Reader
if err := tkh.InitNumerialValues(); err != nil {
t.Error(err)
return
}
if err := tkh.GenerateHidingPolynomial(); err != nil {
t.Error(err)
return
}
if shares := tkh.CreateShares(); len(shares) != 100 {
t.Fail()
}
}
func TestCreateViArray(t *testing.T) {
tkh := new(ThresholdKeyGenerator)
tkh.TotalNumberOfDecryptionServers = 10
tkh.v = b(54)
tkh.nSquare = b(101 * 101)
vArr := tkh.CreateViArray([]*big.Int{b(12), b(90), b(103)})
exp := []*big.Int{b(6162), b(304), b(2728)}
if !reflect.DeepEqual(vArr, exp) {
t.Fail()
}
}
func TestGetThresholdKeyGenerator(t *testing.T) {
tkh := GetThresholdKeyGenerator(50, 10, 6, rand.Reader)
if err := tkh.InitNumerialValues(); err != nil {
t.Error(nil)
}
}
func TestGenerate(t *testing.T) {
tkh := GetThresholdKeyGenerator(32, 10, 6, rand.Reader)
tpks, err := tkh.Generate()
if err != nil {
t.Error(err)
return
}
if len(tpks) != 10 {
t.Fail()
}
for i, tpk := range tpks {
if tpk.Id != i+1 {
t.Fail()
}
if len(tpk.Vi) != 10 {
t.Fail()
}
if tpk.G == nil || tpk.N == nil {
t.Fail()
}
if tpk.Threshold != 6 || tpk.TotalNumberOfDecryptionServers != 10 {
t.Fail()
}
}
}
func TestComputeV(t *testing.T) {
tkh := GetThresholdKeyGenerator(32, 10, 6, rand.Reader)
tkh.n = b(1907 * 1823)
tkh.nSquare = new(big.Int).Mul(tkh.n, tkh.n)
for i := 0; i < 100; i++ {
if err := tkh.ComputeV(); err != nil {
t.Error(err)
return
}
if tkh.v.Cmp(tkh.nSquare) > 0 {
t.Error("v is too big")
}
if tkh.v.Cmp(tkh.n) > 0 {
return
}
}
t.Error(`v has never been bigger than n. It is suspicious in the sense<
than it was taken in the range 0...n**2 -1
`)
}