package A;
import java.math.BigInteger;
public class Ec implements Curve {
public Ec(BigInteger p, BigInteger n, BigInteger b, BigInteger gx, BigInteger gy, int bitsize, String name) {
P = p;
N = n;
B = b;
Gx = gx;
Gy = gy;
BitSize = bitsize;
Name = name;
}
private BigInteger P, N, B, Gx, Gy;
private int BitSize;
private String Name;
@Override
public CurveParams Params() {
return new CurveParams(P, N, B, Gx, Gy, BitSize, Name);
}
@Override
public boolean IsOnCurve(BigInteger x, BigInteger y) {
return false;
}
@Override
public Point Add(Point a, Point b) {
BigInteger k = a.x.subtract(b.x).mod(P).modInverse(P).multiply(a.y.subtract(b.y));
BigInteger x = k.multiply(k).subtract(a.x.add(b.x)).mod(P);
return new Point(x, k.multiply(a.x.subtract(x)).subtract(a.y).mod(P));
}
@Override
public Point Double(Point a) {
BigInteger k = a.y.multiply(BigInteger.valueOf(2)).mod(P).modInverse(P).multiply(a.x.multiply(a.x).multiply(BigInteger.valueOf(3)).subtract(BigInteger.valueOf(3)));
BigInteger x = k.multiply(k).subtract(a.x.add(a.x)).mod(P);
return new Point(x, k.multiply(a.x.subtract(x)).subtract(a.y).mod(P));
}
@Override
public Point ScalarBaseMult(BigInteger k) {
return ScalarMult(new Point(Gx, Gy), k);
}
@Override
public Point ScalarMult(Point p, BigInteger k) {
byte[] b = k.toByteArray();
Point g = p;
Point r = null;
for (int j = 0; j < b.length; j++) {
int t = b[j] & 0xff;
for (int i = 0; i < 8; i++) {
if (r != null)
r = Double(r);
if ((t & 0x80) == 0x80) {
if (r == null)
r = g;
else
r = Add(r, g);
}
t <<= 1;
}
}
return r;
}
@Override
public BigInteger Inverse(BigInteger k) {
return k.modInverse(N);
}
@Override
public Point CombinedMult(Point p, BigInteger baseScalar, BigInteger scalar) {
Point a = ScalarBaseMult(baseScalar);
Point b = ScalarMult(p, scalar);
if (a.x.compareTo(b.x) == 0 && a.y.compareTo(b.y) == 0)
return Double(a);
return Add(a, b);
}
}