diff options
author | Peter Dettman <peter.dettman@bouncycastle.org> | 2014-02-07 13:16:21 +0700 |
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committer | Peter Dettman <peter.dettman@bouncycastle.org> | 2014-02-07 13:16:21 +0700 |
commit | 8d36850e595356203caed72fff0ea1bdafe3dd26 (patch) | |
tree | dc8750e36f87eccf949438ca39e66e42bfdc9d04 /crypto/src | |
parent | Small optimization for width 4 (diff) | |
download | BouncyCastle.NET-ed25519-8d36850e595356203caed72fff0ea1bdafe3dd26.tar.xz |
Use parallel wNAF for sumOfTwoMultiplies
Diffstat (limited to 'crypto/src')
-rw-r--r-- | crypto/src/math/ec/ECAlgorithms.cs | 73 |
1 files changed, 69 insertions, 4 deletions
diff --git a/crypto/src/math/ec/ECAlgorithms.cs b/crypto/src/math/ec/ECAlgorithms.cs index a7030700e..b0b75e908 100644 --- a/crypto/src/math/ec/ECAlgorithms.cs +++ b/crypto/src/math/ec/ECAlgorithms.cs @@ -34,7 +34,7 @@ namespace Org.BouncyCastle.Math.EC } } - return ImplShamirsTrick(P, a, Q, b); + return ImplShamirsTrickWNaf(P, a, Q, b); } /* @@ -60,7 +60,7 @@ namespace Org.BouncyCastle.Math.EC ECCurve cp = P.Curve; Q = ImportPoint(cp, Q); - return ImplShamirsTrick(P, k, Q, l); + return ImplShamirsTrickJsf(P, k, Q, l); } public static ECPoint ImportPoint(ECCurve c, ECPoint p) @@ -103,8 +103,7 @@ namespace Org.BouncyCastle.Math.EC zs[off] = u; } - internal static ECPoint ImplShamirsTrick(ECPoint P, BigInteger k, - ECPoint Q, BigInteger l) + internal static ECPoint ImplShamirsTrickJsf(ECPoint P, BigInteger k, ECPoint Q, BigInteger l) { ECCurve curve = P.Curve; ECPoint infinity = curve.Infinity; @@ -139,5 +138,71 @@ namespace Org.BouncyCastle.Math.EC return R; } + + internal static ECPoint ImplShamirsTrickWNaf(ECPoint P, BigInteger k, ECPoint Q, BigInteger l) + { + int widthP = System.Math.Max(2, System.Math.Min(16, WNafUtilities.GetWindowSize(k.BitLength))); + int widthQ = System.Math.Max(2, System.Math.Min(16, WNafUtilities.GetWindowSize(l.BitLength))); + + WNafPreCompInfo infoP = WNafUtilities.Precompute(P, widthP, true); + WNafPreCompInfo infoQ = WNafUtilities.Precompute(Q, widthQ, true); + + ECPoint[] preCompP = infoP.PreComp; + ECPoint[] preCompQ = infoQ.PreComp; + ECPoint[] preCompNegP = infoP.PreCompNeg; + ECPoint[] preCompNegQ = infoQ.PreCompNeg; + + byte[] wnafP = WNafUtilities.GenerateWindowNaf(widthP, k); + byte[] wnafQ = WNafUtilities.GenerateWindowNaf(widthQ, l); + + int len = System.Math.Max(wnafP.Length, wnafQ.Length); + + ECCurve curve = P.Curve; + ECPoint infinity = curve.Infinity; + + ECPoint R = infinity; + int zeroes = 0; + + for (int i = len - 1; i >= 0; --i) + { + int wiP = i < wnafP.Length ? (sbyte)wnafP[i] : 0; + int wiQ = i < wnafQ.Length ? (sbyte)wnafQ[i] : 0; + + if ((wiP | wiQ) == 0) + { + ++zeroes; + continue; + } + + ECPoint r = infinity; + if (wiP != 0) + { + int nP = System.Math.Abs(wiP); + ECPoint[] tableP = wiP < 0 ? preCompNegP : preCompP; + r = r.Add(tableP[nP >> 1]); + } + if (wiQ != 0) + { + int nQ = System.Math.Abs(wiQ); + ECPoint[] tableQ = wiQ < 0 ? preCompNegQ : preCompQ; + r = r.Add(tableQ[nQ >> 1]); + } + + if (zeroes > 0) + { + R = R.TimesPow2(zeroes); + zeroes = 0; + } + + R = R.TwicePlus(r); + } + + if (zeroes > 0) + { + R = R.TimesPow2(zeroes); + } + + return R; + } } } |