Example #1
0
        public OmgNum FindFactor(OmgNum n, int maxIterations = -1)
        {
            m_iterations = 0;

            m_current = n;

            OmgNum x = OmgOp.Random(1.ToOmgNum(), OmgOp.Subtract(n, 2.ToOmgNum()));
            OmgNum y = 1.ToOmgNum();

            OmgNum i     = 0.ToOmgNum();
            OmgNum stage = 2.ToOmgNum();

            OmgNum sub = OmgOp.Subtract(x, y).MakeAbs();
            OmgNum gcd = OmgOp.Gcd(n, sub);

            sub.Release();

            while (gcd.IsOne())
            {
                if (maxIterations >= 0 && m_iterations++ > maxIterations)
                {
                    return(null);
                }

                if (OmgOp.Equal(i, stage))
                {
                    y.Release();
                    y = new OmgNum(x);
                    stage.MultByTwo();
                }

                OmgNum xSquare = OmgOp.Multiply(x, x).Inc();
                x.Release();
                x = OmgOp.Mod(xSquare, n);
                xSquare.Release();

                i.Inc();

                sub = OmgOp.Subtract(x, y).MakeAbs();
                gcd.Release();
                gcd = OmgOp.Gcd(n, sub);
                sub.Release();
            }

            return(gcd);
        }