diff options
Diffstat (limited to 'crypto/src/math/ec/ECAlgorithms.cs')
-rw-r--r-- | crypto/src/math/ec/ECAlgorithms.cs | 96 |
1 files changed, 89 insertions, 7 deletions
diff --git a/crypto/src/math/ec/ECAlgorithms.cs b/crypto/src/math/ec/ECAlgorithms.cs index 628680e24..6519e81c6 100644 --- a/crypto/src/math/ec/ECAlgorithms.cs +++ b/crypto/src/math/ec/ECAlgorithms.cs @@ -1,5 +1,6 @@ using System; +using Org.BouncyCastle.Math.EC.Endo; using Org.BouncyCastle.Math.EC.Multiplier; using Org.BouncyCastle.Math.Field; @@ -45,6 +46,12 @@ namespace Org.BouncyCastle.Math.EC imported[i] = ImportPoint(c, ps[i]); } + GlvEndomorphism glvEndomorphism = c.GetEndomorphism() as GlvEndomorphism; + if (glvEndomorphism != null) + { + return ImplSumOfMultipliesGlv(imported, ks, glvEndomorphism); + } + return ImplSumOfMultiplies(imported, ks); } @@ -63,6 +70,12 @@ namespace Org.BouncyCastle.Math.EC } } + GlvEndomorphism glvEndomorphism = cp.GetEndomorphism() as GlvEndomorphism; + if (glvEndomorphism != null) + { + return ImplSumOfMultipliesGlv(new ECPoint[] { P, Q }, new BigInteger[] { a, b }, glvEndomorphism); + } + return ImplShamirsTrickWNaf(P, a, Q, b); } @@ -273,20 +286,89 @@ namespace Org.BouncyCastle.Math.EC internal static ECPoint ImplSumOfMultiplies(ECPoint[] ps, BigInteger[] ks) { int count = ps.Length; - int[] widths = new int[count]; + bool[] negs = new bool[count]; WNafPreCompInfo[] infos = new WNafPreCompInfo[count]; byte[][] wnafs = new byte[count][]; - int len = 0; for (int i = 0; i < count; ++i) { - widths[i] = System.Math.Max(2, System.Math.Min(16, WNafUtilities.GetWindowSize(ks[i].BitLength))); - infos[i] = WNafUtilities.Precompute(ps[i], widths[i], true); - wnafs[i] = WNafUtilities.GenerateWindowNaf(widths[i], ks[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); + } + + internal static ECPoint ImplSumOfMultipliesGlv(ECPoint[] ps, BigInteger[] ks, GlvEndomorphism glvEndomorphism) + { + BigInteger n = ps[0].Curve.Order; + + int len = ps.Length; + + BigInteger[] abs = new BigInteger[len << 1]; + for (int i = 0, j = 0; i < len; ++i) + { + BigInteger[] ab = glvEndomorphism.DecomposeScalar(ks[i].Mod(n)); + abs[j++] = ab[0]; + abs[j++] = ab[1]; + } + + ECPointMap pointMap = glvEndomorphism.PointMap; + if (glvEndomorphism.HasEfficientPointMap) + { + return ECAlgorithms.ImplSumOfMultiplies(ps, pointMap, abs); + } + + ECPoint[] pqs = new ECPoint[len << 1]; + for (int i = 0, j = 0; i < len; ++i) + { + ECPoint p = ps[i], q = pointMap.Map(p); + pqs[j++] = p; + pqs[j++] = q; + } + + return ECAlgorithms.ImplSumOfMultiplies(pqs, abs); + } + + 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); + } + + 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 = ps[0].Curve; + ECCurve curve = infos[0].PreComp[0].Curve; ECPoint infinity = curve.Infinity; ECPoint R = infinity; @@ -304,7 +386,7 @@ namespace Org.BouncyCastle.Math.EC { int n = System.Math.Abs(wi); WNafPreCompInfo info = infos[j]; - ECPoint[] table = wi < 0 ? info.PreCompNeg : info.PreComp; + ECPoint[] table = (wi < 0 == negs[j]) ? info.PreCompNeg : info.PreComp; r = r.Add(table[n >> 1]); } } |