static void TestG2()
{
Console.WriteLine("TestG2");
G2 P = new G2();
P.Clear();
assert("P = 0", P.ToString() == "0");
assert("P is valid", P.IsValid());
assert("P is zero", P.IsZero());
P.HashAndMapTo("abc");
assert("P is valid", P.IsValid());
assert("P is not zero", !P.IsZero());
G2 Q = new G2();
Q = P.Clone();
assert("P == Q", Q.Equals(P));
G2.Neg(Q, P);
G2.Add(Q, Q, P);
assert("Q is zero", Q.IsZero());
G2.Dbl(Q, P);
G2 R = new G2();
G2.Add(R, P, P);
assert("Q == R", Q.Equals(R));
Fr x = new Fr();
x.SetInt(3);
G2.Add(R, R, P);
G2.Mul(Q, P, x);
assert("Q == R", Q.Equals(R));
}
static void TestG2()
{
Console.WriteLine("TestG2");
G2 P = new G2();
assert("P.isZero", P.IsZero());
P.Clear();
assert("P is valid", P.IsValid());
assert("P is zero", P.IsZero());
P.HashAndMapTo("abc");
assert("P is valid", P.IsValid());
assert("P is not zero", !P.IsZero());
G2 Q = new G2();
Q = P;
assert("P == Q", Q.Equals(P));
Q.Neg(P);
Q.Add(Q, P);
assert("Q is zero", Q.IsZero());
Q.Dbl(P);
G2 R = new G2();
R.Add(P, P);
assert("Q == R", Q.Equals(R));
Fr x = new Fr();
x.SetInt(3);
R.Add(R, P);
Q.Mul(P, x);
assert("Q == R", Q.Equals(R));
{
byte[] buf = P.Serialize();
Q.Clear();
Q.Deserialize(buf);
assert("P == Q", P.Equals(Q));
}
{
const int n = 5;
G2[] xVec = new G2[n];
Fr[] yVec = new Fr[n];
P.Clear();
for (int i = 0; i < n; i++)
{
xVec[i].HashAndMapTo(i.ToString());
yVec[i].SetByCSPRNG();
Q.Mul(xVec[i], yVec[i]);
P.Add(P, Q);
}
MulVec(ref Q, xVec, yVec);
assert("mulVecG2", P.Equals(Q));
}
G2 W = G2.Zero();
assert("W.IsZero", W.IsZero());
}
static void TestG2()
{
Console.WriteLine("TestG2");
G2 P = new G2();
P.Clear();
assert("P is valid", P.IsValid());
assert("P is zero", P.IsZero());
P.HashAndMapTo("abc");
assert("P is valid", P.IsValid());
assert("P is not zero", !P.IsZero());
G2 Q = new G2();
Q = P;
assert("P == Q", Q.Equals(P));
Q.Neg(P);
Q.Add(Q, P);
assert("Q is zero", Q.IsZero());
Q.Dbl(P);
G2 R = new G2();
R.Add(P, P);
assert("Q == R", Q.Equals(R));
Fr x = new Fr();
x.SetInt(3);
R.Add(R, P);
Q.Mul(P, x);
assert("Q == R", Q.Equals(R));
{
byte[] buf = P.Serialize();
Q.Clear();
Q.Deserialize(buf);
assert("P == Q", P.Equals(Q));
}
}
static void TestSS_G2()
{
const int n = 5;
const int k = 3; // can't change because the following loop
G2[] cVec = new G2[k];
// init polynomial coefficient
for (int i = 0; i < k; i++)
{
Fr x = new Fr();
x.SetByCSPRNG();
cVec[i].SetHashOf(x.GetStr(16));
}
Fr[] xVec = new Fr[n];
G2[] yVec = new G2[n];
// share cVec[0] with yVec[0], ..., yVec[n-1]
for (int i = 0; i < n; i++)
{
xVec[i].SetHashOf(i.ToString());
MCL.Share(ref yVec[i], cVec, xVec[i]);
}
// recover cVec[0] from xVecSubset and yVecSubset
Fr[] xVecSubset = new Fr[k];
G2[] yVecSubset = new G2[k];
for (int i0 = 0; i0 < n; i0++)
{
xVecSubset[0] = xVec[i0];
yVecSubset[0] = yVec[i0];
for (int i1 = i0 + 1; i1 < n; i1++)
{
xVecSubset[1] = xVec[i1];
yVecSubset[1] = yVec[i1];
for (int i2 = i1 + 1; i2 < n; i2++)
{
xVecSubset[2] = xVec[i2];
yVecSubset[2] = yVec[i2];
G2 s = new G2();
MCL.Recover(ref s, xVecSubset, yVecSubset);
assert("Recover", s.Equals(cVec[0]));
}
}
}
}