/* this-=a */
public void Sub(FP2 x)
{
FP2 m = new FP2(x);
m.Neg();
Add(m);
}
/* this*=this */
public void Sqr()
{
// norm();
FP2 t1 = new FP2(a);
FP2 t2 = new FP2(b);
FP2 t3 = new FP2(a);
t3.Mul(b);
t1.Add(b);
t2.Mul_Ip();
t2.Add(a);
t1.Norm();
t2.Norm();
a.Copy(t1);
a.Mul(t2);
t2.Copy(t3);
t2.Mul_Ip();
t2.Add(t3);
t2.Norm();
t2.Neg();
a.Add(t2);
b.Copy(t3);
b.Add(t3);
Norm();
}
/* this*=y */
public void Mul(FP4 y)
{
// norm();
FP2 t1 = new FP2(a);
FP2 t2 = new FP2(b);
FP2 t3 = new FP2(0);
FP2 t4 = new FP2(b);
t1.Mul(y.a);
t2.Mul(y.b);
t3.Copy(y.b);
t3.Add(y.a);
t4.Add(a);
t3.Norm();
t4.Norm();
t4.Mul(t3);
t3.Copy(t1);
t3.Neg();
t4.Add(t3);
t4.Norm();
// t4.sub(t1);
// t4.norm();
t3.Copy(t2);
t3.Neg();
b.Copy(t4);
b.Add(t3);
// b.copy(t4);
// b.sub(t2);
t2.Mul_Ip();
a.Copy(t2);
a.Add(t1);
Norm();
}
/* set this=-this */
public void Neg()
{
Norm();
FP2 m = new FP2(a);
FP2 t = new FP2(0);
m.Add(b);
// m.norm();
m.Neg();
// m.norm();
t.Copy(m);
t.Add(b);
b.Copy(m);
b.Add(a);
a.Copy(t);
Norm();
}
/* this=1/this */
public void Inverse()
{
// norm();
FP2 t1 = new FP2(a);
FP2 t2 = new FP2(b);
t1.Sqr();
t2.Sqr();
t2.Mul_Ip();
t2.Norm();
t1.Sub(t2);
t1.Inverse();
a.Mul(t1);
t1.Neg();
t1.Norm();
b.Mul(t1);
}
/* this=-conjugate(this) */
public void NConj()
{
a.Neg();
Norm();
}
/* this=conjugate(this) */
public void Conj()
{
b.Neg();
Norm();
}
/* Line function */
public static FP12 Line(ECP2 A, ECP2 B, FP Qx, FP Qy)
{
//System.out.println("Into line");
FP4 a, b, c; // Edits here
// c=new FP4(0);
if (A == B)
{
// Doubling
FP2 XX = new FP2(A.GetX()); //X
FP2 YY = new FP2(A.GetY()); //Y
FP2 ZZ = new FP2(A.GetZ()); //Z
FP2 YZ = new FP2(YY); //Y
YZ.Mul(ZZ); //YZ
XX.Sqr(); //X^2
YY.Sqr(); //Y^2
ZZ.Sqr(); //Z^2
YZ.IMul(4);
YZ.Neg();
YZ.Norm(); //-2YZ
YZ.PMul(Qy); //-2YZ.Ys
XX.IMul(6); //3X^2
XX.PMul(Qx); //3X^2.Xs
int sb = 3 * ROM.CURVE_B_I;
ZZ.IMul(sb);
if (ECP.SEXTIC_TWIST == ECP.D_TYPE)
{
ZZ.Div_Ip2();
}
if (ECP.SEXTIC_TWIST == ECP.M_TYPE)
{
ZZ.Mul_Ip();
ZZ.Add(ZZ);
YZ.Mul_Ip();
YZ.Norm();
}
ZZ.Norm(); // 3b.Z^2
YY.Add(YY);
ZZ.Sub(YY);
ZZ.Norm(); // 3b.Z^2-Y^2
a = new FP4(YZ, ZZ); // -2YZ.Ys | 3b.Z^2-Y^2 | 3X^2.Xs
if (ECP.SEXTIC_TWIST == ECP.D_TYPE)
{
b = new FP4(XX); // L(0,1) | L(0,0) | L(1,0)
c = new FP4(0);
}
if (ECP.SEXTIC_TWIST == ECP.M_TYPE)
{
b = new FP4(0);
c = new FP4(XX);
c.Times_I();
}
A.Dbl();
}
else
{
// Addition - assume B is affine
FP2 X1 = new FP2(A.GetX()); // X1
FP2 Y1 = new FP2(A.GetY()); // Y1
FP2 T1 = new FP2(A.GetZ()); // Z1
FP2 T2 = new FP2(A.GetZ()); // Z1
T1.Mul(B.GetY()); // T1=Z1.Y2
T2.Mul(B.GetX()); // T2=Z1.X2
X1.Sub(T2);
X1.Norm(); // X1=X1-Z1.X2
Y1.Sub(T1);
Y1.Norm(); // Y1=Y1-Z1.Y2
T1.Copy(X1); // T1=X1-Z1.X2
X1.PMul(Qy); // X1=(X1-Z1.X2).Ys
if (ECP.SEXTIC_TWIST == ECP.M_TYPE)
{
X1.Mul_Ip();
X1.Norm();
}
T1.Mul(B.GetY()); // T1=(X1-Z1.X2).Y2
T2.Copy(Y1); // T2=Y1-Z1.Y2
T2.Mul(B.GetX()); // T2=(Y1-Z1.Y2).X2
T2.Sub(T1);
T2.Norm(); // T2=(Y1-Z1.Y2).X2 - (X1-Z1.X2).Y2
Y1.PMul(Qx);
Y1.Neg();
Y1.Norm(); // Y1=-(Y1-Z1.Y2).Xs
a = new FP4(X1, T2); // (X1-Z1.X2).Ys | (Y1-Z1.Y2).X2 - (X1-Z1.X2).Y2 | - (Y1-Z1.Y2).Xs
if (ECP.SEXTIC_TWIST == ECP.D_TYPE)
{
b = new FP4(Y1);
c = new FP4(0);
}
if (ECP.SEXTIC_TWIST == ECP.M_TYPE)
{
b = new FP4(0);
c = new FP4(Y1);
c.Times_I();
}
A.Add(B);
}
//System.out.println("Out of line");
return(new FP12(a, b, c));
}