public static ECPoint SumOfMultiplies(ECPoint[] ps, BigInteger[] ks)
{
if (((ps == null) || (ks == null)) || ((ps.Length != ks.Length) || (ps.Length < 1)))
{
throw new ArgumentException("point and scalar arrays should be non-null, and of equal, non-zero, length");
}
int length = ps.Length;
switch (length)
{
case 1:
return(ps[0].Multiply(ks[0]));
case 2:
return(SumOfTwoMultiplies(ps[0], ks[0], ps[1], ks[1]));
}
ECPoint point = ps[0];
ECCurve c = point.Curve;
ECPoint[] pointArray = new ECPoint[length];
pointArray[0] = point;
for (int i = 1; i < length; i++)
{
pointArray[i] = ImportPoint(c, ps[i]);
}
GlvEndomorphism glvEndomorphism = c.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ValidatePoint(ImplSumOfMultipliesGlv(pointArray, ks, glvEndomorphism)));
}
return(ValidatePoint(ImplSumOfMultiplies(pointArray, ks)));
}
public static ECPoint SumOfTwoMultiplies(ECPoint P, BigInteger a, ECPoint Q, BigInteger b)
{
ECCurve cp = P.Curve;
Q = ImportPoint(cp, Q);
// Point multiplication for Koblitz curves (using WTNAF) beats Shamir's trick
if (cp is F2mCurve)
{
F2mCurve f2mCurve = (F2mCurve)cp;
if (f2mCurve.IsKoblitz)
{
return(ValidatePoint(P.Multiply(a).Add(Q.Multiply(b))));
}
}
GlvEndomorphism glvEndomorphism = cp.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ValidatePoint(
ImplSumOfMultipliesGlv(new ECPoint[] { P, Q }, new BigInteger[] { a, b }, glvEndomorphism)));
}
return(ValidatePoint(ImplShamirsTrickWNaf(P, a, Q, b)));
}
public static ECPoint SumOfTwoMultiplies(ECPoint P, BigInteger a, ECPoint Q, BigInteger b)
{
ECCurve curve = P.Curve;
Q = ECAlgorithms.ImportPoint(curve, Q);
if (curve is F2mCurve)
{
F2mCurve f2mCurve = (F2mCurve)curve;
if (f2mCurve.IsKoblitz)
{
return(ECAlgorithms.ValidatePoint(P.Multiply(a).Add(Q.Multiply(b))));
}
}
GlvEndomorphism glvEndomorphism = curve.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ECAlgorithms.ValidatePoint(ECAlgorithms.ImplSumOfMultipliesGlv(new ECPoint[]
{
P,
Q
}, new BigInteger[]
{
a,
b
}, glvEndomorphism)));
}
return(ECAlgorithms.ValidatePoint(ECAlgorithms.ImplShamirsTrickWNaf(P, a, Q, b)));
}
public static ECPoint SumOfMultiplies(ECPoint[] ps, BigInteger[] ks)
{
if (ps == null || ks == null || ps.Length != ks.Length || ps.Length < 1)
{
throw new ArgumentException("point and scalar arrays should be non-null, and of equal, non-zero, length");
}
int num = ps.Length;
switch (num)
{
case 1:
return(ps[0].Multiply(ks[0]));
case 2:
return(ECAlgorithms.SumOfTwoMultiplies(ps[0], ks[0], ps[1], ks[1]));
default:
{
ECPoint eCPoint = ps[0];
ECCurve curve = eCPoint.Curve;
ECPoint[] array = new ECPoint[num];
array[0] = eCPoint;
for (int i = 1; i < num; i++)
{
array[i] = ECAlgorithms.ImportPoint(curve, ps[i]);
}
GlvEndomorphism glvEndomorphism = curve.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ECAlgorithms.ValidatePoint(ECAlgorithms.ImplSumOfMultipliesGlv(array, ks, glvEndomorphism)));
}
return(ECAlgorithms.ValidatePoint(ECAlgorithms.ImplSumOfMultiplies(array, ks)));
}
}
}
public static ECPoint SumOfTwoMultiplies(ECPoint P, BigInteger a, ECPoint Q, BigInteger b)
{
ECCurve c = P.Curve;
Q = ImportPoint(c, Q);
AbstractF2mCurve curve2 = c as AbstractF2mCurve;
if ((curve2 != null) && curve2.IsKoblitz)
{
return(ValidatePoint(P.Multiply(a).Add(Q.Multiply(b))));
}
GlvEndomorphism glvEndomorphism = c.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
ECPoint[] ps = new ECPoint[] { P, Q };
BigInteger[] ks = new BigInteger[] { a, b };
return(ValidatePoint(ImplSumOfMultipliesGlv(ps, ks, glvEndomorphism)));
}
return(ValidatePoint(ImplShamirsTrickWNaf(P, a, Q, b)));
}
public static ECPoint SumOfMultiplies(ECPoint[] ps, BigInteger[] ks)
{
if (ps == null || ks == null || ps.Length != ks.Length || ps.Length < 1)
{
throw new ArgumentException("point and scalar arrays should be non-null, and of equal, non-zero, length");
}
int count = ps.Length;
switch (count)
{
case 1:
return(ps[0].Multiply(ks[0]));
case 2:
return(SumOfTwoMultiplies(ps[0], ks[0], ps[1], ks[1]));
default:
break;
}
ECPoint p = ps[0];
ECCurve c = p.Curve;
ECPoint[] imported = new ECPoint[count];
imported[0] = p;
for (int i = 1; i < count; ++i)
{
imported[i] = ImportPoint(c, ps[i]);
}
GlvEndomorphism glvEndomorphism = c.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ValidatePoint(ImplSumOfMultipliesGlv(imported, ks, glvEndomorphism)));
}
return(ValidatePoint(ImplSumOfMultiplies(imported, ks)));
}
public static ECPoint SumOfTwoMultiplies(ECPoint P, BigInteger a, ECPoint Q, BigInteger b)
{
ECCurve curve = P.Curve;
Q = ImportPoint(curve, Q);
AbstractF2mCurve abstractF2mCurve = curve as AbstractF2mCurve;
if (abstractF2mCurve != null && abstractF2mCurve.IsKoblitz)
{
return(ValidatePoint(P.Multiply(a).Add(Q.Multiply(b))));
}
GlvEndomorphism glvEndomorphism = curve.GetEndomorphism() as GlvEndomorphism;
if (glvEndomorphism != null)
{
return(ValidatePoint(ImplSumOfMultipliesGlv(new ECPoint[2] {
P, Q
}, new BigInteger[2] {
a, b
}, glvEndomorphism)));
}
return(ValidatePoint(ImplShamirsTrickWNaf(P, a, Q, b)));
}