diff options
Diffstat (limited to 'crypto/src/math/ec/custom/sec/Nat256.cs')
| -rw-r--r-- | crypto/src/math/ec/custom/sec/Nat256.cs | 456 |
1 files changed, 438 insertions, 18 deletions
diff --git a/crypto/src/math/ec/custom/sec/Nat256.cs b/crypto/src/math/ec/custom/sec/Nat256.cs index 40e287b9b..3bd329251 100644 --- a/crypto/src/math/ec/custom/sec/Nat256.cs +++ b/crypto/src/math/ec/custom/sec/Nat256.cs @@ -39,6 +39,36 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return (uint)c; } + public static uint Add(uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff) + { + ulong c = 0; + c += (ulong)x[xOff + 0] + y[yOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 1] + y[yOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 2] + y[yOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 3] + y[yOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 4] + y[yOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 5] + y[yOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 6] + y[yOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 7] + y[yOff + 7]; + z[zOff + 7] = (uint)c; + c >>= 32; + return (uint)c; + } + public static uint AddBothTo(uint[] x, uint[] y, uint[] z) { ulong c = 0; @@ -69,6 +99,36 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return (uint)c; } + public static uint AddBothTo(uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff) + { + ulong c = 0; + c += (ulong)x[xOff + 0] + y[yOff + 0] + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 1] + y[yOff + 1] + z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 2] + y[yOff + 2] + z[zOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 3] + y[yOff + 3] + z[zOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 4] + y[yOff + 4] + z[zOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 5] + y[yOff + 5] + z[zOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 6] + y[yOff + 6] + z[zOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 7] + y[yOff + 7] + z[zOff + 7]; + z[zOff + 7] = (uint)c; + c >>= 32; + return (uint)c; + } + // TODO Re-write to allow full range for x? public static uint AddDWord(ulong x, uint[] z, int zOff) { @@ -95,33 +155,70 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return (uint)c; } - public static uint AddToExt(uint[] x, int xOff, uint[] zz, int zzOff) + public static uint AddTo(uint[] x, int xOff, uint[] z, int zOff, uint cIn) + { + ulong c = cIn; + c += (ulong)x[xOff + 0] + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 1] + z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 2] + z[zOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 3] + z[zOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 4] + z[zOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 5] + z[zOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 6] + z[zOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + c += (ulong)x[xOff + 7] + z[zOff + 7]; + z[zOff + 7] = (uint)c; + c >>= 32; + return (uint)c; + } + + public static uint AddToEachOther(uint[] u, int uOff, uint[] v, int vOff) { - Debug.Assert(zzOff <= 8); ulong c = 0; - c += (ulong)x[xOff + 0] + zz[zzOff + 0]; - zz[zzOff + 0] = (uint)c; + c += (ulong)u[uOff + 0] + v[vOff + 0]; + u[uOff + 0] = (uint)c; + v[vOff + 0] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 1] + zz[zzOff + 1]; - zz[zzOff + 1] = (uint)c; + c += (ulong)u[uOff + 1] + v[vOff + 1]; + u[uOff + 1] = (uint)c; + v[vOff + 1] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 2] + zz[zzOff + 2]; - zz[zzOff + 2] = (uint)c; + c += (ulong)u[uOff + 2] + v[vOff + 2]; + u[uOff + 2] = (uint)c; + v[vOff + 2] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 3] + zz[zzOff + 3]; - zz[zzOff + 3] = (uint)c; + c += (ulong)u[uOff + 3] + v[vOff + 3]; + u[uOff + 3] = (uint)c; + v[vOff + 3] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 4] + zz[zzOff + 4]; - zz[zzOff + 4] = (uint)c; + c += (ulong)u[uOff + 4] + v[vOff + 4]; + u[uOff + 4] = (uint)c; + v[vOff + 4] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 5] + zz[zzOff + 5]; - zz[zzOff + 5] = (uint)c; + c += (ulong)u[uOff + 5] + v[vOff + 5]; + u[uOff + 5] = (uint)c; + v[vOff + 5] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 6] + zz[zzOff + 6]; - zz[zzOff + 6] = (uint)c; + c += (ulong)u[uOff + 6] + v[vOff + 6]; + u[uOff + 6] = (uint)c; + v[vOff + 6] = (uint)c; c >>= 32; - c += (ulong)x[xOff + 7] + zz[zzOff + 7]; - zz[zzOff + 7] = (uint)c; + c += (ulong)u[uOff + 7] + v[vOff + 7]; + u[uOff + 7] = (uint)c; + v[vOff + 7] = (uint)c; c >>= 32; return (uint)c; } @@ -158,6 +255,20 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return -1; } + public static bool Diff(uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff) + { + bool pos = Gte(x, xOff, y, yOff); + if (pos) + { + Sub(x, xOff, y, yOff, z, zOff); + } + else + { + Sub(y, yOff, x, xOff, z, zOff); + } + return pos; + } + public static uint[] FromBigInteger(BigInteger x) { if (x.SignValue < 0 || x.BitLength > 256) @@ -201,6 +312,19 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return true; } + public static bool Gte(uint[] x, int xOff, uint[] y, int yOff) + { + for (int i = 7; i >= 0; --i) + { + uint x_i = x[xOff + i], y_i = y[yOff + i]; + if (x_i < y_i) + return false; + if (x_i > y_i) + return true; + } + return true; + } + public static bool GteExt(uint[] xx, uint[] yy) { for (int i = 15; i >= 0; --i) @@ -351,6 +475,125 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec } } + public static void Mul(uint[] x, int xOff, uint[] y, int yOff, uint[] zz, int zzOff) + { + ulong y_0 = y[yOff + 0]; + ulong y_1 = y[yOff + 1]; + ulong y_2 = y[yOff + 2]; + ulong y_3 = y[yOff + 3]; + ulong y_4 = y[yOff + 4]; + ulong y_5 = y[yOff + 5]; + ulong y_6 = y[yOff + 6]; + ulong y_7 = y[yOff + 7]; + + { + ulong c = 0, x_0 = x[xOff + 0]; + c += x_0 * y_0; + zz[zzOff + 0] = (uint)c; + c >>= 32; + c += x_0 * y_1; + zz[zzOff + 1] = (uint)c; + c >>= 32; + c += x_0 * y_2; + zz[zzOff + 2] = (uint)c; + c >>= 32; + c += x_0 * y_3; + zz[zzOff + 3] = (uint)c; + c >>= 32; + c += x_0 * y_4; + zz[zzOff + 4] = (uint)c; + c >>= 32; + c += x_0 * y_5; + zz[zzOff + 5] = (uint)c; + c >>= 32; + c += x_0 * y_6; + zz[zzOff + 6] = (uint)c; + c >>= 32; + c += x_0 * y_7; + zz[zzOff + 7] = (uint)c; + c >>= 32; + zz[zzOff + 8] = (uint)c; + } + + for (int i = 1; i < 8; ++i) + { + ++zzOff; + ulong c = 0, x_i = x[xOff + i]; + c += x_i * y_0 + zz[zzOff + 0]; + zz[zzOff + 0] = (uint)c; + c >>= 32; + c += x_i * y_1 + zz[zzOff + 1]; + zz[zzOff + 1] = (uint)c; + c >>= 32; + c += x_i * y_2 + zz[zzOff + 2]; + zz[zzOff + 2] = (uint)c; + c >>= 32; + c += x_i * y_3 + zz[zzOff + 3]; + zz[zzOff + 3] = (uint)c; + c >>= 32; + c += x_i * y_4 + zz[zzOff + 4]; + zz[zzOff + 4] = (uint)c; + c >>= 32; + c += x_i * y_5 + zz[zzOff + 5]; + zz[zzOff + 5] = (uint)c; + c >>= 32; + c += x_i * y_6 + zz[zzOff + 6]; + zz[zzOff + 6] = (uint)c; + c >>= 32; + c += x_i * y_7 + zz[zzOff + 7]; + zz[zzOff + 7] = (uint)c; + c >>= 32; + zz[zzOff + 8] = (uint)c; + } + } + + public static uint MulAdd(uint[] x, int xOff, uint[] y, int yOff, uint[] zz, int zzOff) + { + ulong y_0 = y[yOff + 0]; + ulong y_1 = y[yOff + 1]; + ulong y_2 = y[yOff + 2]; + ulong y_3 = y[yOff + 3]; + ulong y_4 = y[yOff + 4]; + ulong y_5 = y[yOff + 5]; + ulong y_6 = y[yOff + 6]; + ulong y_7 = y[yOff + 7]; + + ulong zc = 0; + for (int i = 0; i < 8; ++i) + { + ulong c = 0, x_i = x[xOff + i]; + c += x_i * y_0 + zz[zzOff + 0]; + zz[zzOff + 0] = (uint)c; + c >>= 32; + c += x_i * y_1 + zz[zzOff + 1]; + zz[zzOff + 1] = (uint)c; + c >>= 32; + c += x_i * y_2 + zz[zzOff + 2]; + zz[zzOff + 2] = (uint)c; + c >>= 32; + c += x_i * y_3 + zz[zzOff + 3]; + zz[zzOff + 3] = (uint)c; + c >>= 32; + c += x_i * y_4 + zz[zzOff + 4]; + zz[zzOff + 4] = (uint)c; + c >>= 32; + c += x_i * y_5 + zz[zzOff + 5]; + zz[zzOff + 5] = (uint)c; + c >>= 32; + c += x_i * y_6 + zz[zzOff + 6]; + zz[zzOff + 6] = (uint)c; + c >>= 32; + c += x_i * y_7 + zz[zzOff + 7]; + zz[zzOff + 7] = (uint)c; + c >>= 32; + c += zc + zz[zzOff + 8]; + zz[zzOff + 8] = (uint)c; + zc = c >> 32; + ++zzOff; + } + return (uint)zc; + } + public static ulong Mul33AddExt(uint w, uint[] xx, int xxOff, uint[] yy, int yyOff, uint[] zz, int zzOff) { Debug.Assert(w >> 31 == 0); @@ -539,6 +782,17 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return c >> 31; } + public static uint ShiftUpBit(uint[] x, int xOff, int xLen, uint c) + { + for (int i = 0; i < xLen; ++i) + { + uint next = x[xOff + i]; + x[xOff + i] = (next << 1) | (c >> 31); + c = next; + } + return c >> 31; + } + public static uint ShiftUpBit(uint[] x, uint c, uint[] z) { for (int i = 0; i < 8; ++i) @@ -686,6 +940,142 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec ShiftUpBit(zz, 16, (uint)x_0 << 31); } + public static void Square(uint[] x, int xOff, uint[] zz, int zzOff) + { + ulong x_0 = x[xOff + 0]; + ulong zz_1; + + { + uint c = 0; + int i = 7, j = 16; + do + { + ulong xVal = x[xOff + i--]; + ulong p = xVal * xVal; + zz[zzOff + --j] = (c << 31) | (uint)(p >> 33); + zz[zzOff + --j] = (uint)(p >> 1); + c = (uint)p; + } + while (i > 0); + + { + ulong p = x_0 * x_0; + zz_1 = (ulong)(c << 31) | (p >> 33); + zz[zzOff + 0] = (uint)(p >> 1); + } + } + + ulong x_1 = x[xOff + 1]; + ulong zz_2 = zz[zzOff + 2]; + + { + zz_1 += x_1 * x_0; + zz[zzOff + 1] = (uint)zz_1; + zz_2 += zz_1 >> 32; + } + + ulong x_2 = x[xOff + 2]; + ulong zz_3 = zz[zzOff + 3]; + ulong zz_4 = zz[zzOff + 4]; + { + zz_2 += x_2 * x_0; + zz[zzOff + 2] = (uint)zz_2; + zz_3 += (zz_2 >> 32) + x_2 * x_1; + zz_4 += zz_3 >> 32; + zz_3 &= M; + } + + ulong x_3 = x[xOff + 3]; + ulong zz_5 = zz[zzOff + 5]; + ulong zz_6 = zz[zzOff + 6]; + { + zz_3 += x_3 * x_0; + zz[zzOff + 3] = (uint)zz_3; + zz_4 += (zz_3 >> 32) + x_3 * x_1; + zz_5 += (zz_4 >> 32) + x_3 * x_2; + zz_4 &= M; + zz_6 += zz_5 >> 32; + zz_5 &= M; + } + + ulong x_4 = x[xOff + 4]; + ulong zz_7 = zz[zzOff + 7]; + ulong zz_8 = zz[zzOff + 8]; + { + zz_4 += x_4 * x_0; + zz[zzOff + 4] = (uint)zz_4; + zz_5 += (zz_4 >> 32) + x_4 * x_1; + zz_6 += (zz_5 >> 32) + x_4 * x_2; + zz_5 &= M; + zz_7 += (zz_6 >> 32) + x_4 * x_3; + zz_6 &= M; + zz_8 += zz_7 >> 32; + zz_7 &= M; + } + + ulong x_5 = x[xOff + 5]; + ulong zz_9 = zz[zzOff + 9]; + ulong zz_10 = zz[zzOff + 10]; + { + zz_5 += x_5 * x_0; + zz[zzOff + 5] = (uint)zz_5; + zz_6 += (zz_5 >> 32) + x_5 * x_1; + zz_7 += (zz_6 >> 32) + x_5 * x_2; + zz_6 &= M; + zz_8 += (zz_7 >> 32) + x_5 * x_3; + zz_7 &= M; + zz_9 += (zz_8 >> 32) + x_5 * x_4; + zz_8 &= M; + zz_10 += zz_9 >> 32; + zz_9 &= M; + } + + ulong x_6 = x[xOff + 6]; + ulong zz_11 = zz[zzOff + 11]; + ulong zz_12 = zz[zzOff + 12]; + { + zz_6 += x_6 * x_0; + zz[zzOff + 6] = (uint)zz_6; + zz_7 += (zz_6 >> 32) + x_6 * x_1; + zz_8 += (zz_7 >> 32) + x_6 * x_2; + zz_7 &= M; + zz_9 += (zz_8 >> 32) + x_6 * x_3; + zz_8 &= M; + zz_10 += (zz_9 >> 32) + x_6 * x_4; + zz_9 &= M; + zz_11 += (zz_10 >> 32) + x_6 * x_5; + zz_10 &= M; + zz_12 += zz_11 >> 32; + zz_11 &= M; + } + + ulong x_7 = x[xOff + 7]; + ulong zz_13 = zz[zzOff + 13]; + ulong zz_14 = zz[zzOff + 14]; + { + zz_7 += x_7 * x_0; + zz[zzOff + 7] = (uint)zz_7; + zz_8 += (zz_7 >> 32) + x_7 * x_1; + zz_9 += (zz_8 >> 32) + x_7 * x_2; + zz_10 += (zz_9 >> 32) + x_7 * x_3; + zz_11 += (zz_10 >> 32) + x_7 * x_4; + zz_12 += (zz_11 >> 32) + x_7 * x_5; + zz_13 += (zz_12 >> 32) + x_7 * x_6; + zz_14 += zz_13 >> 32; + } + + zz[zzOff + 8] = (uint)zz_8; + zz[zzOff + 9] = (uint)zz_9; + zz[zzOff + 10] = (uint)zz_10; + zz[zzOff + 11] = (uint)zz_11; + zz[zzOff + 12] = (uint)zz_12; + zz[zzOff + 13] = (uint)zz_13; + zz[zzOff + 14] = (uint)zz_14; + zz[zzOff + 15] += (uint)(zz_14 >> 32); + + ShiftUpBit(zz, zzOff, 16, (uint)x_0 << 31); + } + public static uint SquareWordAddExt(uint[] x, int xPos, uint[] zz) { Debug.Assert(xPos > 0 && xPos < 8); @@ -731,6 +1121,36 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return (int)c; } + public static int Sub(uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff) + { + long c = 0; + c += (long)x[xOff + 0] - y[yOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += (long)x[xOff + 1] - y[yOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += (long)x[xOff + 2] - y[yOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += (long)x[xOff + 3] - y[yOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + c += (long)x[xOff + 4] - y[yOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + c += (long)x[xOff + 5] - y[yOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + c += (long)x[xOff + 6] - y[yOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + c += (long)x[xOff + 7] - y[yOff + 7]; + z[zOff + 7] = (uint)c; + c >>= 32; + return (int)c; + } + public static int SubBothFrom(uint[] x, uint[] y, uint[] z) { long c = 0; |