/// <summary>
/// Constructs a FieldZqImpl.
/// </summary>
/// <param name="modulus">The field modulus</param>
public FieldZqBCImpl(byte[] modulus)
{
if (modulus == null) throw new ArgumentNullException("modulus");
this.modulusBytes = modulus;
this.modulus = new BCBigInt(1, modulus);
Zero = new FieldZqElementBCImpl(BCBigInt.Zero, this);
One = new FieldZqElementBCImpl(BCBigInt.One, this);
}
/// <summary>
/// Constructs a FieldZqImpl.
/// </summary>
/// <param name="modulus">The field modulus</param>
public FieldZqBCImpl(byte[] modulus)
{
if (modulus == null)
{
throw new ArgumentNullException("modulus");
}
this.modulusBytes = modulus;
this.modulus = new BCBigInt(1, modulus);
Zero = new FieldZqElementBCImpl(BCBigInt.Zero, this);
One = new FieldZqElementBCImpl(BCBigInt.One, this);
}
/// <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 (Object.ReferenceEquals(o, this))
{
return(true);
}
FieldZqElementBCImpl fe = o as FieldZqElementBCImpl;
if (fe == null)
{
return(false);
}
return(this.i.Equals(fe.i) && this.field.modulus.Equals(fe.field.modulus));
}
/// <summary>
/// Returns true if the given element is an element from this field.
/// </summary>
/// <param name="element">The element to check.</param>
/// <returns>True if the given element is an element from this field.</returns>
public override bool IsElement(FieldZqElement element)
{
FieldZqElementBCImpl xdImpl = element as FieldZqElementBCImpl;
if (xdImpl == null)
{
throw new ArgumentNullException();
}
if (((xdImpl.field) as FieldZqBCImpl).modulus != modulus)
{
return(false);
}
if (xdImpl.i < BCBigInt.Zero || xdImpl.i >= this.modulus)
{
return(false);
}
return(true);
}
/// <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));
}