private void CheckOnCurve(GroupElement e)
{
ECGroupElementBCImpl ecge = e as ECGroupElementBCImpl;
if (ecge == null)
{
throw new ArgumentNullException();
}
if (!ecge.Point.Y.Square().Equals(ecge.Point.X.Multiply(ecge.Point.X.Square().Add(domainParams.Curve.A)).Add(domainParams.Curve.B)))
{
throw new InvalidUProveArtifactException("point is not on curve");
}
}
/// <summary>
/// Returns a value indiciating whether this instance is equal to the
/// specified object.
/// </summary>
/// <param name="o">An object to compare to this instance.</param>
/// <returns>True if this object equals the other object.</returns>
public override bool Equals(Object o)
{
if (o == null)
{
return(false);
}
ECGroupElementBCImpl e = o as ECGroupElementBCImpl;
if (e == null)
{
return(false);
}
return(Point.Equals(e.Point));
}
private void CheckOnCurve(GroupElement e)
{
ECGroupElementBCImpl ecge = e as ECGroupElementBCImpl;
if (ecge == null)
{
throw new ArgumentNullException();
}
BouncyCastle.FpPoint p = ecge.Point;
BouncyCastle.ECFieldElement x = p.AffineXCoord, y = p.AffineYCoord;
if (!y.Square().Equals(x.Multiply(x.Square().Add(domainParams.Curve.A)).Add(domainParams.Curve.B)))
{
throw new InvalidUProveArtifactException("point is not on curve");
}
}
/// <summary>
/// Bouncy castle implementation of multi-exponentiation.
/// </summary>
/// <param name="g">bases</param>
/// <param name="f">exponents</param>
/// <returns></returns>
public override GroupElement MultiExponentiate(GroupElement[] g, FieldZqElement[] f)
{
if (g == null || f == null || g.Length != f.Length)
{
throw new ArgumentException("g and f must be non-null and of the same length");
}
//GroupElement value = Identity;
//for (int i = 0; i < g.Length; i++)
//{
// value *= g[i].Exponentiate(f[i]);
//}
//return value;
BouncyCastle.ECPoint p = curve.Infinity;
int i = 0, limit = g.Length & ~1;
while (i < limit)
{
ECGroupElementBCImpl gi0 = g[i] as ECGroupElementBCImpl;
FieldZqElementBCImpl fi0 = f[i] as FieldZqElementBCImpl;
ECGroupElementBCImpl gi1 = g[i + 1] as ECGroupElementBCImpl;
FieldZqElementBCImpl fi1 = f[i + 1] as FieldZqElementBCImpl;
p = p.Add(BouncyCastle.ECAlgorithms.SumOfTwoMultiplies(gi0.Point, fi0.i, gi1.Point, fi1.i));
i += 2;
}
if (i < g.Length)
{
ECGroupElementBCImpl gi0 = g[i] as ECGroupElementBCImpl;
FieldZqElementBCImpl fi0 = f[i] as FieldZqElementBCImpl;
p = p.Add(gi0.Point.Multiply(fi0.i));
}
return(new ECGroupElementBCImpl(p as BouncyCastle.FpPoint));
}
