public virtual bool Equals(ECFieldElement other)
{
if (this == other)
return true;
if (null == other)
return false;
return ToBigInteger().Equals(other.ToBigInteger());
}
public override ECFieldElement Subtract(
ECFieldElement b)
{
return new FpFieldElement(q, r, ModSubtract(x, b.ToBigInteger()));
}
public override ECFieldElement SquarePlusProduct(ECFieldElement x, ECFieldElement y)
{
BigInteger ax = this.x, xx = x.ToBigInteger(), yx = y.ToBigInteger();
BigInteger aa = ax.Multiply(ax);
BigInteger xy = xx.Multiply(yx);
BigInteger sum = aa.Add(xy);
if (r != null && r.SignValue < 0 && sum.BitLength > (q.BitLength << 1))
{
sum = sum.Subtract(q.ShiftLeft(q.BitLength));
}
return new FpFieldElement(q, r, ModReduce(sum));
}
public override ECFieldElement SquareMinusProduct(ECFieldElement x, ECFieldElement y)
{
BigInteger ax = this.x, xx = x.ToBigInteger(), yx = y.ToBigInteger();
BigInteger aa = ax.Multiply(ax);
BigInteger xy = xx.Multiply(yx);
return new FpFieldElement(q, r, ModReduce(aa.Subtract(xy)));
}
public override ECFieldElement MultiplyMinusProduct(ECFieldElement b, ECFieldElement x, ECFieldElement y)
{
BigInteger ax = this.x, bx = b.ToBigInteger(), xx = x.ToBigInteger(), yx = y.ToBigInteger();
BigInteger ab = ax.Multiply(bx);
BigInteger xy = xx.Multiply(yx);
return new FpFieldElement(q, r, ModReduce(ab.Subtract(xy)));
}
public override ECFieldElement Multiply(
ECFieldElement b)
{
return new FpFieldElement(q, r, ModMult(x, b.ToBigInteger()));
}
public override ECFieldElement Divide(
ECFieldElement b)
{
return new FpFieldElement(q, r, ModMult(x, ModInverse(b.ToBigInteger())));
}
public override ECFieldElement Add(
ECFieldElement b)
{
return new FpFieldElement(q, r, ModAdd(x, b.ToBigInteger()));
}
