public override ECPoint Add(ECPoint b)
{
if (this.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
if (this == b)
{
return(Twice());
}
ECCurve curve = this.Curve;
SecP384R1FieldElement X1 = (SecP384R1FieldElement)this.RawXCoord, Y1 = (SecP384R1FieldElement)this.RawYCoord;
SecP384R1FieldElement X2 = (SecP384R1FieldElement)b.RawXCoord, Y2 = (SecP384R1FieldElement)b.RawYCoord;
SecP384R1FieldElement Z1 = (SecP384R1FieldElement)this.RawZCoords[0];
SecP384R1FieldElement Z2 = (SecP384R1FieldElement)b.RawZCoords[0];
uint c;
uint[] tt1 = Nat.Create(24);
uint[] tt2 = Nat.Create(24);
uint[] t3 = Nat.Create(12);
uint[] t4 = Nat.Create(12);
bool Z1IsOne = Z1.IsOne;
uint[] U2, S2;
if (Z1IsOne)
{
U2 = X2.x;
S2 = Y2.x;
}
else
{
S2 = t3;
SecP384R1Field.Square(Z1.x, S2);
U2 = tt2;
SecP384R1Field.Multiply(S2, X2.x, U2);
SecP384R1Field.Multiply(S2, Z1.x, S2);
SecP384R1Field.Multiply(S2, Y2.x, S2);
}
bool Z2IsOne = Z2.IsOne;
uint[] U1, S1;
if (Z2IsOne)
{
U1 = X1.x;
S1 = Y1.x;
}
else
{
S1 = t4;
SecP384R1Field.Square(Z2.x, S1);
U1 = tt1;
SecP384R1Field.Multiply(S1, X1.x, U1);
SecP384R1Field.Multiply(S1, Z2.x, S1);
SecP384R1Field.Multiply(S1, Y1.x, S1);
}
uint[] H = Nat.Create(12);
SecP384R1Field.Subtract(U1, U2, H);
uint[] R = Nat.Create(12);
SecP384R1Field.Subtract(S1, S2, R);
// Check if b == this or b == -this
if (Nat.IsZero(12, H))
{
if (Nat.IsZero(12, R))
{
// this == b, i.e. this must be doubled
return(this.Twice());
}
// this == -b, i.e. the result is the point at infinity
return(curve.Infinity);
}
uint[] HSquared = t3;
SecP384R1Field.Square(H, HSquared);
uint[] G = Nat.Create(12);
SecP384R1Field.Multiply(HSquared, H, G);
uint[] V = t3;
SecP384R1Field.Multiply(HSquared, U1, V);
SecP384R1Field.Negate(G, G);
Nat384.Mul(S1, G, tt1);
c = Nat.AddBothTo(12, V, V, G);
SecP384R1Field.Reduce32(c, G);
SecP384R1FieldElement X3 = new SecP384R1FieldElement(t4);
SecP384R1Field.Square(R, X3.x);
SecP384R1Field.Subtract(X3.x, G, X3.x);
SecP384R1FieldElement Y3 = new SecP384R1FieldElement(G);
SecP384R1Field.Subtract(V, X3.x, Y3.x);
Nat384.Mul(Y3.x, R, tt2);
SecP384R1Field.AddExt(tt1, tt2, tt1);
SecP384R1Field.Reduce(tt1, Y3.x);
SecP384R1FieldElement Z3 = new SecP384R1FieldElement(H);
if (!Z1IsOne)
{
SecP384R1Field.Multiply(Z3.x, Z1.x, Z3.x);
}
if (!Z2IsOne)
{
SecP384R1Field.Multiply(Z3.x, Z2.x, Z3.x);
}
ECFieldElement[] zs = new ECFieldElement[] { Z3 };
return(new SecP384R1Point(curve, X3, Y3, zs, IsCompressed));
}
public override ECFieldElement Negate()
{
uint[] z = Nat.Create(12);
SecP384R1Field.Negate(x, z);
return(new SecP384R1FieldElement(z));
}