static void TestG1()
{
Console.WriteLine("TestG1");
G1 P = new G1();
assert("P.isZero", P.IsZero());
P.Clear();
assert("P.IsValid", P.IsValid());
assert("P.IsZero", P.IsZero());
P.HashAndMapTo("abc");
assert("P.IsValid", P.IsValid());
assert("!P.IsZero", !P.IsZero());
G1 Q = new G1();
Q = P;
assert("P == Q", Q.Equals(P));
Q.Neg(P);
Q.Add(Q, P);
assert("P = Q", Q.IsZero());
Q.Dbl(P);
G1 R = new G1();
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;
G1[] xVec = new G1[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("mulVecG1", P.Equals(Q));
}
G1 W = G1.Zero();
assert("W.IsZero", W.IsZero());
}
static void TestG1()
{
Console.WriteLine("TestG1");
G1 P = new G1();
P.Clear();
assert("P = 0", P.ToString() == "0");
assert("P.IsValid", P.IsValid());
assert("P.IsZero", P.IsZero());
P.HashAndMapTo("abc");
assert("P.IsValid", P.IsValid());
assert("!P.IsZero", !P.IsZero());
G1 Q = new G1();
Q = P.Clone();
assert("P == Q", Q.Equals(P));
G1.Neg(Q, P);
G1.Add(Q, Q, P);
assert("P = Q", Q.IsZero());
G1.Dbl(Q, P);
G1 R = new G1();
G1.Add(R, P, P);
assert("Q == R", Q.Equals(R));
Fr x = new Fr();
x.SetInt(3);
G1.Add(R, R, P);
G1.Mul(Q, P, x);
assert("Q == R", Q.Equals(R));
}
static void TestPairing()
{
Console.WriteLine("TestG2");
G1 P = new G1();
P.setStr("1 -1 1");
G2 Q = new G2();
Q.HashAndMapTo("1");
Fr a = new Fr();
Fr b = new Fr();
a.SetStr("12345678912345673453");
b.SetStr("230498230982394243424");
G1 aP = new G1();
G2 bQ = new G2();
G1.Mul(aP, P, a);
G2.Mul(bQ, Q, b);
GT e1 = new GT();
GT e2 = new GT();
GT e3 = new GT();
Pairing(e1, P, Q);
Pairing(e2, aP, Q);
GT.Pow(e3, e1, a);
assert("e2.Equals(e3)", e2.Equals(e3));
Pairing(e2, P, bQ);
GT.Pow(e3, e1, b);
assert("e2.Equals(e3)", e2.Equals(e3));
}
static void TestPairing()
{
Console.WriteLine("TestG2");
G1 P = new G1();
P.HashAndMapTo("123");
G2 Q = new G2();
Q.HashAndMapTo("1");
Fr a = new Fr();
Fr b = new Fr();
a.SetStr("12345678912345673453", 10);
b.SetStr("230498230982394243424", 10);
G1 aP = new G1();
G2 bQ = new G2();
aP.Mul(P, a);
bQ.Mul(Q, b);
GT e1 = new GT();
GT e2 = new GT();
GT e3 = new GT();
e1.Pairing(P, Q);
e2.Pairing(aP, Q);
e3.Pow(e1, a);
assert("e2.Equals(e3)", e2.Equals(e3));
e2.Pairing(P, bQ);
e3.Pow(e1, b);
assert("e2.Equals(e3)", e2.Equals(e3));
}
static void TestG1()
{
Console.WriteLine("TestG1");
G1 P = new G1();
P.Clear();
assert("P.IsValid", P.IsValid());
assert("P.IsZero", P.IsZero());
P.HashAndMapTo("abc");
assert("P.IsValid", P.IsValid());
assert("!P.IsZero", !P.IsZero());
G1 Q = new G1();
Q = P;
assert("P == Q", Q.Equals(P));
Q.Neg(P);
Q.Add(Q, P);
assert("P = Q", Q.IsZero());
Q.Dbl(P);
G1 R = new G1();
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));
}