public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(curve.Infinity);
}
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement = base.RawZCoords[0];
bool isOne = eCFieldElement.IsOne;
ECFieldElement eCFieldElement2 = isOne ? rawYCoord : rawYCoord.Multiply(eCFieldElement);
ECFieldElement b = isOne ? eCFieldElement : eCFieldElement.Square();
ECFieldElement eCFieldElement3 = rawYCoord.Square().Add(eCFieldElement2).Add(b);
if (eCFieldElement3.IsZero)
{
return(new SecT409R1Point(curve, eCFieldElement3, curve.B.Sqrt(), base.IsCompressed));
}
ECFieldElement eCFieldElement4 = eCFieldElement3.Square();
ECFieldElement eCFieldElement5 = isOne ? eCFieldElement3 : eCFieldElement3.Multiply(b);
ECFieldElement eCFieldElement6 = isOne ? rawXCoord : rawXCoord.Multiply(eCFieldElement);
ECFieldElement y = eCFieldElement6.SquarePlusProduct(eCFieldElement3, eCFieldElement2).Add(eCFieldElement4).Add(eCFieldElement5);
return(new SecT409R1Point(curve, eCFieldElement4, y, new ECFieldElement[]
{
eCFieldElement5
}, base.IsCompressed));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(curve.Infinity);
}
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement b = base.RawZCoords[0];
bool isOne = b.IsOne;
ECFieldElement element4 = !isOne?rawYCoord.Multiply(b) : rawYCoord;
ECFieldElement element5 = !isOne?b.Square() : b;
ECFieldElement x = rawYCoord.Square().Add(element4).Add(element5);
if (x.IsZero)
{
return(new SecT409R1Point(curve, x, curve.B.Sqrt(), base.IsCompressed));
}
ECFieldElement element7 = x.Square();
ECFieldElement element8 = !isOne?x.Multiply(element5) : x;
ECFieldElement element9 = !isOne?rawXCoord.Multiply(b) : rawXCoord;
ECFieldElement y = element9.SquarePlusProduct(x, element4).Add(element7).Add(element8);
return(new SecT409R1Point(curve, element7, y, new ECFieldElement[] { element8 }, base.IsCompressed));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(curve.Infinity);
}
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement = base.RawZCoords[0];
bool isOne = eCFieldElement.IsOne;
ECFieldElement eCFieldElement2 = (!isOne) ? rawYCoord.Multiply(eCFieldElement) : rawYCoord;
ECFieldElement b = (!isOne) ? eCFieldElement.Square() : eCFieldElement;
ECFieldElement eCFieldElement3 = rawYCoord.Square().Add(eCFieldElement2).Add(b);
if (eCFieldElement3.IsZero)
{
return(new SecT571R1Point(curve, eCFieldElement3, SecT571R1Curve.SecT571R1_B_SQRT, base.IsCompressed));
}
ECFieldElement eCFieldElement4 = eCFieldElement3.Square();
ECFieldElement eCFieldElement5 = (!isOne) ? eCFieldElement3.Multiply(b) : eCFieldElement3;
ECFieldElement eCFieldElement6 = (!isOne) ? rawXCoord.Multiply(eCFieldElement) : rawXCoord;
ECFieldElement y = eCFieldElement6.SquarePlusProduct(eCFieldElement3, eCFieldElement2).Add(eCFieldElement4).Add(eCFieldElement5);
return(new SecT571R1Point(curve, eCFieldElement4, y, new ECFieldElement[1]
{
eCFieldElement5
}, base.IsCompressed));
}
public override ECPoint Twice()
{
if (this.IsInfinity)
{
return this;
}
ECCurve curve = this.Curve;
ECFieldElement X1 = this.RawXCoord;
if (X1.IsZero)
{
// A point with X == 0 is it's own Additive inverse
return curve.Infinity;
}
ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
bool Z1IsOne = Z1.IsOne;
ECFieldElement L1Z1 = Z1IsOne ? L1 : L1.Multiply(Z1);
ECFieldElement Z1Sq = Z1IsOne ? Z1 : Z1.Square();
ECFieldElement T = L1.Square().Add(L1Z1).Add(Z1Sq);
if (T.IsZero)
{
return new SecT163R2Point(curve, T, curve.B.Sqrt(), IsCompressed);
}
ECFieldElement X3 = T.Square();
ECFieldElement Z3 = Z1IsOne ? T : T.Multiply(Z1Sq);
ECFieldElement X1Z1 = Z1IsOne ? X1 : X1.Multiply(Z1);
ECFieldElement L3 = X1Z1.SquarePlusProduct(T, L1Z1).Add(X3).Add(Z3);
return new SecT163R2Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed);
}
protected override bool SatisfiesCurveEquation()
{
ECCurve curve = Curve;
ECFieldElement rawXCoord = base.RawXCoord;
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement = curve.A;
ECFieldElement eCFieldElement2 = curve.B;
int coordinateSystem = curve.CoordinateSystem;
ECFieldElement eCFieldElement5;
ECFieldElement eCFieldElement4;
if (coordinateSystem == 6)
{
ECFieldElement eCFieldElement3 = base.RawZCoords[0];
bool isOne = eCFieldElement3.IsOne;
if (rawXCoord.IsZero)
{
eCFieldElement4 = rawYCoord.Square();
eCFieldElement5 = eCFieldElement2;
if (!isOne)
{
ECFieldElement b = eCFieldElement3.Square();
eCFieldElement5 = eCFieldElement5.Multiply(b);
}
}
else
{
ECFieldElement eCFieldElement6 = rawYCoord;
ECFieldElement eCFieldElement7 = rawXCoord.Square();
if (isOne)
{
eCFieldElement4 = eCFieldElement6.Square().Add(eCFieldElement6).Add(eCFieldElement);
eCFieldElement5 = eCFieldElement7.Square().Add(eCFieldElement2);
}
else
{
ECFieldElement eCFieldElement8 = eCFieldElement3.Square();
ECFieldElement y = eCFieldElement8.Square();
eCFieldElement4 = eCFieldElement6.Add(eCFieldElement3).MultiplyPlusProduct(eCFieldElement6, eCFieldElement, eCFieldElement8);
eCFieldElement5 = eCFieldElement7.SquarePlusProduct(eCFieldElement2, y);
}
eCFieldElement4 = eCFieldElement4.Multiply(eCFieldElement7);
}
}
else
{
eCFieldElement4 = rawYCoord.Add(rawXCoord).Multiply(rawYCoord);
switch (coordinateSystem)
{
case 1:
{
ECFieldElement eCFieldElement9 = base.RawZCoords[0];
if (!eCFieldElement9.IsOne)
{
ECFieldElement b2 = eCFieldElement9.Square();
ECFieldElement b3 = eCFieldElement9.Multiply(b2);
eCFieldElement4 = eCFieldElement4.Multiply(eCFieldElement9);
eCFieldElement = eCFieldElement.Multiply(eCFieldElement9);
eCFieldElement2 = eCFieldElement2.Multiply(b3);
}
break;
}
default:
throw new InvalidOperationException("unsupported coordinate system");
case 0:
break;
}
eCFieldElement5 = rawXCoord.Add(eCFieldElement).Multiply(rawXCoord.Square()).Add(eCFieldElement2);
}
return(eCFieldElement4.Equals(eCFieldElement5));
}
