Ejemplo n.º 1
0
        internal static ECPoint ImplSumOfMultiplies(ECPoint[] ps, ECPointMap pointMap, BigInteger[] ks)
        {
            int halfCount = ps.Length, fullCount = halfCount << 1;

            bool[] negs = new bool[fullCount];
            WNafPreCompInfo[] infos = new WNafPreCompInfo[fullCount];
            byte[][] wnafs = new byte[fullCount][];

            for (int i = 0; i < halfCount; ++i)
            {
                int j0 = i << 1, j1 = j0 + 1;

                BigInteger kj0 = ks[j0]; negs[j0] = kj0.SignValue < 0; kj0 = kj0.Abs();
                BigInteger kj1 = ks[j1]; negs[j1] = kj1.SignValue < 0; kj1 = kj1.Abs();

                int width = System.Math.Max(2, System.Math.Min(16, WNafUtilities.GetWindowSize(System.Math.Max(kj0.BitLength, kj1.BitLength))));

                ECPoint P = ps[i], Q = WNafUtilities.MapPointWithPrecomp(P, width, true, pointMap);
                infos[j0] = WNafUtilities.GetWNafPreCompInfo(P);
                infos[j1] = WNafUtilities.GetWNafPreCompInfo(Q);
                wnafs[j0] = WNafUtilities.GenerateWindowNaf(width, kj0);
                wnafs[j1] = WNafUtilities.GenerateWindowNaf(width, kj1);
            }

            return ImplSumOfMultiplies(negs, infos, wnafs);
        }
Ejemplo n.º 2
0
        private static ECPoint ImplSumOfMultiplies(bool[] negs, WNafPreCompInfo[] infos, byte[][] wnafs)
        {
            int len = 0, count = wnafs.Length;
            for (int i = 0; i < count; ++i)
            {
                len = System.Math.Max(len, wnafs[i].Length);
            }

            ECCurve curve = infos[0].PreComp[0].Curve;
            ECPoint infinity = curve.Infinity;

            ECPoint R = infinity;
            int zeroes = 0;

            for (int i = len - 1; i >= 0; --i)
            {
                ECPoint r = infinity;

                for (int j = 0; j < count; ++j)
                {
                    byte[] wnaf = wnafs[j];
                    int wi = i < wnaf.Length ? (int)(sbyte)wnaf[i] : 0;
                    if (wi != 0)
                    {
                        int n = System.Math.Abs(wi);
                        WNafPreCompInfo info = infos[j];
                        ECPoint[] table = (wi < 0 == negs[j]) ? info.PreComp : info.PreCompNeg;
                        r = r.Add(table[n >> 1]);
                    }
                }

                if (r == infinity)
                {
                    ++zeroes;
                    continue;
                }

                if (zeroes > 0)
                {
                    R = R.TimesPow2(zeroes);
                    zeroes = 0;
                }

                R = R.TwicePlus(r);
            }

            if (zeroes > 0)
            {
                R = R.TimesPow2(zeroes);
            }

            return R;
        }
Ejemplo n.º 3
0
        internal static ECPoint ImplSumOfMultiplies(ECPoint[] ps, BigInteger[] ks)
        {
            int count = ps.Length;
            bool[] negs = new bool[count];
            WNafPreCompInfo[] infos = new WNafPreCompInfo[count];
            byte[][] wnafs = new byte[count][];

            for (int i = 0; i < count; ++i)
            {
                BigInteger ki = ks[i]; negs[i] = ki.SignValue < 0; ki = ki.Abs();

                int width = System.Math.Max(2, System.Math.Min(16, WNafUtilities.GetWindowSize(ki.BitLength)));
                infos[i] = WNafUtilities.Precompute(ps[i], width, true);
                wnafs[i] = WNafUtilities.GenerateWindowNaf(width, ki);
            }

            return ImplSumOfMultiplies(negs, infos, wnafs);
        }