diff options
Diffstat (limited to 'crypto/src/math/ec/custom/sec/Nat224.cs')
-rw-r--r-- | crypto/src/math/ec/custom/sec/Nat224.cs | 1252 |
1 files changed, 1252 insertions, 0 deletions
diff --git a/crypto/src/math/ec/custom/sec/Nat224.cs b/crypto/src/math/ec/custom/sec/Nat224.cs new file mode 100644 index 000000000..72950e8a6 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/Nat224.cs @@ -0,0 +1,1252 @@ +using System; +using System.Diagnostics; + +using Org.BouncyCastle.Crypto.Utilities; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal abstract class Nat224 + { + private const ulong M = 0xFFFFFFFFUL; + + public static uint Add(uint[] x, uint[] y, uint[] z) + { + ulong c = 0; + c += (ulong)x[0] + y[0]; + z[0] = (uint)c; + c >>= 32; + c += (ulong)x[1] + y[1]; + z[1] = (uint)c; + c >>= 32; + c += (ulong)x[2] + y[2]; + z[2] = (uint)c; + c >>= 32; + c += (ulong)x[3] + y[3]; + z[3] = (uint)c; + c >>= 32; + c += (ulong)x[4] + y[4]; + z[4] = (uint)c; + c >>= 32; + c += (ulong)x[5] + y[5]; + z[5] = (uint)c; + c >>= 32; + c += (ulong)x[6] + y[6]; + z[6] = (uint)c; + c >>= 32; + 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; + return (uint)c; + } + + public static uint AddBothTo(uint[] x, uint[] y, uint[] z) + { + ulong c = 0; + c += (ulong)x[0] + y[0] + z[0]; + z[0] = (uint)c; + c >>= 32; + c += (ulong)x[1] + y[1] + z[1]; + z[1] = (uint)c; + c >>= 32; + c += (ulong)x[2] + y[2] + z[2]; + z[2] = (uint)c; + c >>= 32; + c += (ulong)x[3] + y[3] + z[3]; + z[3] = (uint)c; + c >>= 32; + c += (ulong)x[4] + y[4] + z[4]; + z[4] = (uint)c; + c >>= 32; + c += (ulong)x[5] + y[5] + z[5]; + z[5] = (uint)c; + c >>= 32; + c += (ulong)x[6] + y[6] + z[6]; + z[6] = (uint)c; + c >>= 32; + 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; + return (uint)c; + } + + // TODO Re-write to allow full range for x? + public static uint AddDWord(ulong x, uint[] z, int zOff) + { + Debug.Assert(zOff <= 5); + ulong c = x; + c += (ulong)z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += (ulong)z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Inc(z, zOff + 2); + } + + public static uint AddExt(uint[] xx, uint[] yy, uint[] zz) + { + ulong c = 0; + for (int i = 0; i < 14; ++i) + { + c += (ulong)xx[i] + yy[i]; + zz[i] = (uint)c; + c >>= 32; + } + return (uint)c; + } + + 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; + return (uint)c; + } + + public static uint AddToEachOther(uint[] u, int uOff, uint[] v, int vOff) + { + ulong c = 0; + c += (ulong)u[uOff + 0] + v[vOff + 0]; + u[uOff + 0] = (uint)c; + v[vOff + 0] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 1] + v[vOff + 1]; + u[uOff + 1] = (uint)c; + v[vOff + 1] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 2] + v[vOff + 2]; + u[uOff + 2] = (uint)c; + v[vOff + 2] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 3] + v[vOff + 3]; + u[uOff + 3] = (uint)c; + v[vOff + 3] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 4] + v[vOff + 4]; + u[uOff + 4] = (uint)c; + v[vOff + 4] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 5] + v[vOff + 5]; + u[uOff + 5] = (uint)c; + v[vOff + 5] = (uint)c; + c >>= 32; + c += (ulong)u[uOff + 6] + v[vOff + 6]; + u[uOff + 6] = (uint)c; + v[vOff + 6] = (uint)c; + c >>= 32; + return (uint)c; + } + + public static uint AddWord(uint x, uint[] z, int zOff) + { + Debug.Assert(zOff <= 6); + ulong c = (ulong)x + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Inc(z, zOff + 1); + } + + public static uint AddWordExt(uint x, uint[] zz, int zzOff) + { + Debug.Assert(zzOff <= 13); + ulong c = (ulong)x + zz[zzOff + 0]; + zz[zzOff + 0] = (uint)c; + c >>= 32; + return c == 0 ? 0 : IncExt(zz, zzOff + 1); + } + + public static void Copy(uint[] x, uint[] z) + { + z[0] = x[0]; + z[1] = x[1]; + z[2] = x[2]; + z[3] = x[3]; + z[4] = x[4]; + z[5] = x[5]; + z[6] = x[6]; + } + + public static uint[] Create() + { + return new uint[7]; + } + + public static uint[] CreateExt() + { + return new uint[14]; + } + + public static int Dec(uint[] z, int zOff) + { + Debug.Assert(zOff <= 7); + for (int i = zOff; i < 7; ++i) + { + if (--z[i] != uint.MaxValue) + { + return 0; + } + } + return -1; + } + + public static int DecExt(uint[] zz, int zzOff) + { + Debug.Assert(zzOff <= 14); + for (int i = zzOff; i < 14; ++i) + { + if (--zz[i] != uint.MaxValue) + { + return 0; + } + } + 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 > 224) + throw new ArgumentException(); + + uint[] z = Create(); + int i = 0; + while (x.SignValue != 0) + { + z[i++] = (uint)x.IntValue; + x = x.ShiftRight(32); + } + return z; + } + + public static uint GetBit(uint[] x, int bit) + { + if (bit == 0) + { + return x[0] & 1; + } + int w = bit >> 5; + if (w < 0 || w >= 7) + { + return 0; + } + int b = bit & 31; + return (x[w] >> b) & 1; + } + + public static bool Gte(uint[] x, uint[] y) + { + for (int i = 6; i >= 0; --i) + { + uint x_i = x[i], y_i = y[i]; + if (x_i < y_i) + return false; + if (x_i > y_i) + return true; + } + return true; + } + + public static bool Gte(uint[] x, int xOff, uint[] y, int yOff) + { + for (int i = 6; 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 = 13; i >= 0; --i) + { + uint xx_i = xx[i], yy_i = yy[i]; + if (xx_i < yy_i) + return false; + if (xx_i > yy_i) + return true; + } + return true; + } + + public static uint Inc(uint[] z, int zOff) + { + Debug.Assert(zOff <= 7); + for (int i = zOff; i < 7; ++i) + { + if (++z[i] != uint.MinValue) + { + return 0; + } + } + return 1; + } + + public static uint IncExt(uint[] zz, int zzOff) + { + Debug.Assert(zzOff <= 14); + for (int i = zzOff; i < 14; ++i) + { + if (++zz[i] != uint.MinValue) + { + return 0; + } + } + return 1; + } + + public static bool IsOne(uint[] x) + { + if (x[0] != 1) + { + return false; + } + for (int i = 1; i < 7; ++i) + { + if (x[i] != 0) + { + return false; + } + } + return true; + } + + public static bool IsZero(uint[] x) + { + for (int i = 0; i < 7; ++i) + { + if (x[i] != 0) + { + return false; + } + } + return true; + } + + public static bool IsZeroExt(uint[] xx) + { + for (int i = 0; i < 14; ++i) + { + if (xx[i] != 0) + { + return false; + } + } + return true; + } + + public static void Mul(uint[] x, uint[] y, uint[] zz) + { + ulong y_0 = y[0]; + ulong y_1 = y[1]; + ulong y_2 = y[2]; + ulong y_3 = y[3]; + ulong y_4 = y[4]; + ulong y_5 = y[5]; + ulong y_6 = y[6]; + + { + ulong c = 0, x_0 = x[0]; + c += x_0 * y_0; + zz[0] = (uint)c; + c >>= 32; + c += x_0 * y_1; + zz[1] = (uint)c; + c >>= 32; + c += x_0 * y_2; + zz[2] = (uint)c; + c >>= 32; + c += x_0 * y_3; + zz[3] = (uint)c; + c >>= 32; + c += x_0 * y_4; + zz[4] = (uint)c; + c >>= 32; + c += x_0 * y_5; + zz[5] = (uint)c; + c >>= 32; + c += x_0 * y_6; + zz[6] = (uint)c; + c >>= 32; + zz[7] = (uint)c; + } + + for (int i = 1; i < 7; ++i) + { + ulong c = 0, x_i = x[i]; + c += x_i * y_0 + zz[i + 0]; + zz[i + 0] = (uint)c; + c >>= 32; + c += x_i * y_1 + zz[i + 1]; + zz[i + 1] = (uint)c; + c >>= 32; + c += x_i * y_2 + zz[i + 2]; + zz[i + 2] = (uint)c; + c >>= 32; + c += x_i * y_3 + zz[i + 3]; + zz[i + 3] = (uint)c; + c >>= 32; + c += x_i * y_4 + zz[i + 4]; + zz[i + 4] = (uint)c; + c >>= 32; + c += x_i * y_5 + zz[i + 5]; + zz[i + 5] = (uint)c; + c >>= 32; + c += x_i * y_6 + zz[i + 6]; + zz[i + 6] = (uint)c; + c >>= 32; + zz[i + 7] = (uint)c; + } + } + + 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 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; + zz[zzOff + 7] = (uint)c; + } + + for (int i = 1; i < 7; ++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; + zz[zzOff + 7] = (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 zc = 0; + for (int i = 0; i < 7; ++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 += zc + zz[zzOff + 7]; + zz[zzOff + 7] = (uint)c; + zc = c >> 32; + ++zzOff; + } + return (uint)zc; + } + + public static ulong Mul33Add(uint w, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff) + { + Debug.Assert(w >> 31 == 0); + + ulong c = 0, wVal = w; + ulong x0 = x[xOff + 0]; + c += wVal * x0 + y[yOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + ulong x1 = x[xOff + 1]; + c += wVal * x1 + x0 + y[yOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + ulong x2 = x[xOff + 2]; + c += wVal * x2 + x1 + y[yOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + ulong x3 = x[xOff + 3]; + c += wVal * x3 + x2 + y[yOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + ulong x4 = x[xOff + 4]; + c += wVal * x4 + x3 + y[yOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + ulong x5 = x[xOff + 5]; + c += wVal * x5 + x4 + y[yOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + ulong x6 = x[xOff + 6]; + c += wVal * x6 + x5 + y[yOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + c += x6; + return c; + } + + public static uint MulByWord(uint x, uint[] z) + { + ulong c = 0, xVal = x; + c += xVal * (ulong)z[0]; + z[0] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[1]; + z[1] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[2]; + z[2] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[3]; + z[3] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[4]; + z[4] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[5]; + z[5] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[6]; + z[6] = (uint)c; + c >>= 32; + return (uint)c; + } + + public static uint MulByWordAddTo(uint x, uint[] y, uint[] z) + { + ulong c = 0, xVal = x; + c += xVal * (ulong)z[0] + y[0]; + z[0] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[1] + y[1]; + z[1] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[2] + y[2]; + z[2] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[3] + y[3]; + z[3] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[4] + y[4]; + z[4] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[5] + y[5]; + z[5] = (uint)c; + c >>= 32; + c += xVal * (ulong)z[6] + y[6]; + z[6] = (uint)c; + c >>= 32; + return (uint)c; + } + + public static uint MulWordAddTo(uint x, uint[] y, int yOff, uint[] z, int zOff) + { + ulong c = 0, xVal = x; + c += xVal * y[yOff + 0] + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 1] + z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 2] + z[zOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 3] + z[zOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 4] + z[zOff + 4]; + z[zOff + 4] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 5] + z[zOff + 5]; + z[zOff + 5] = (uint)c; + c >>= 32; + c += xVal * y[yOff + 6] + z[zOff + 6]; + z[zOff + 6] = (uint)c; + c >>= 32; + return (uint)c; + } + + public static uint Mul33DWordAdd(uint x, ulong y, uint[] z, int zOff) + { + Debug.Assert(x >> 31 == 0); + Debug.Assert(zOff <= 3); + ulong c = 0, xVal = x; + ulong y00 = y & M; + c += xVal * y00 + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + ulong y01 = y >> 32; + c += xVal * y01 + y00 + z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += y01 + z[zOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + c += z[zOff + 3]; + z[zOff + 3] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Inc(z, zOff + 4); + } + + public static uint MulWordDwordAdd(uint x, ulong y, uint[] z, int zOff) + { + Debug.Assert(zOff <= 4); + ulong c = 0, xVal = x; + c += xVal * y + z[zOff + 0]; + z[zOff + 0] = (uint)c; + c >>= 32; + c += xVal * (y >> 32) + z[zOff + 1]; + z[zOff + 1] = (uint)c; + c >>= 32; + c += z[zOff + 2]; + z[zOff + 2] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Inc(z, zOff + 3); + } + + public static uint MulWord(uint x, uint[] y, uint[] z, int zOff) + { + ulong c = 0, xVal = x; + int i = 0; + do + { + c += xVal * y[i]; + z[zOff + i] = (uint)c; + c >>= 32; + } + while (++i < 7); + return (uint)c; + } + + public static uint ShiftDownBit(uint[] x, int xLen, uint c) + { + int i = xLen; + while (--i >= 0) + { + uint next = x[i]; + x[i] = (next >> 1) | (c << 31); + c = next; + } + return c << 31; + } + + public static uint ShiftDownBit(uint[] x, uint c, uint[] z) + { + int i = 7; + while (--i >= 0) + { + uint next = x[i]; + z[i] = (next >> 1) | (c << 31); + c = next; + } + return c << 31; + } + + public static uint ShiftDownBits(uint[] x, int xLen, int bits, uint c) + { + Debug.Assert(bits > 0 && bits < 32); + int i = xLen; + while (--i >= 0) + { + uint next = x[i]; + x[i] = (next >> bits) | (c << -bits); + c = next; + } + return c << -bits; + } + + public static uint ShiftDownWord(uint[] x, int xLen, uint c) + { + int i = xLen; + while (--i >= 0) + { + uint next = x[i]; + x[i] = c; + c = next; + } + return c; + } + + public static uint ShiftUpBit(uint[] x, int xLen, uint c) + { + for (int i = 0; i < xLen; ++i) + { + uint next = x[i]; + x[i] = (next << 1) | (c >> 31); + c = next; + } + 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 < 7; ++i) + { + uint next = x[i]; + z[i] = (next << 1) | (c >> 31); + c = next; + } + return c >> 31; + } + + public static void Square(uint[] x, uint[] zz) + { + ulong x_0 = x[0]; + ulong zz_1; + + { + uint c = 0; + int i = 6, j = 14; + do + { + ulong xVal = x[i--]; + ulong p = xVal * xVal; + zz[--j] = (c << 31) | (uint)(p >> 33); + zz[--j] = (uint)(p >> 1); + c = (uint)p; + } + while (i > 0); + + { + ulong p = x_0 * x_0; + zz_1 = (ulong)(c << 31) | (p >> 33); + zz[0] = (uint)(p >> 1); + } + } + + ulong x_1 = x[1]; + ulong zz_2 = zz[2]; + + { + zz_1 += x_1 * x_0; + zz[1] = (uint)zz_1; + zz_2 += zz_1 >> 32; + } + + ulong x_2 = x[2]; + ulong zz_3 = zz[3]; + ulong zz_4 = zz[4]; + { + zz_2 += x_2 * x_0; + zz[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[3]; + ulong zz_5 = zz[5]; + ulong zz_6 = zz[6]; + { + zz_3 += x_3 * x_0; + zz[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[4]; + ulong zz_7 = zz[7]; + ulong zz_8 = zz[8]; + { + zz_4 += x_4 * x_0; + zz[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[5]; + ulong zz_9 = zz[9]; + ulong zz_10 = zz[10]; + { + zz_5 += x_5 * x_0; + zz[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[6]; + ulong zz_11 = zz[11]; + ulong zz_12 = zz[12]; + { + zz_6 += x_6 * x_0; + zz[6] = (uint)zz_6; + zz_7 += (zz_6 >> 32) + x_6 * x_1; + zz_8 += (zz_7 >> 32) + x_6 * x_2; + zz_9 += (zz_8 >> 32) + x_6 * x_3; + zz_10 += (zz_9 >> 32) + x_6 * x_4; + zz_11 += (zz_10 >> 32) + x_6 * x_5; + zz_12 += zz_11 >> 32; + } + + zz[7] = (uint)zz_7; + zz[8] = (uint)zz_8; + zz[9] = (uint)zz_9; + zz[10] = (uint)zz_10; + zz[11] = (uint)zz_11; + zz[12] = (uint)zz_12; + zz[13] += (uint)(zz_12 >> 32); + + ShiftUpBit(zz, 14, (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 = 6, j = 14; + 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_9 += (zz_8 >> 32) + x_6 * x_3; + zz_10 += (zz_9 >> 32) + x_6 * x_4; + zz_11 += (zz_10 >> 32) + x_6 * x_5; + zz_12 += zz_11 >> 32; + } + + zz[zzOff + 7] = (uint)zz_7; + 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_12 >> 32); + + ShiftUpBit(zz, zzOff, 16, (uint)x_0 << 31); + } + + public static int Sub(uint[] x, uint[] y, uint[] z) + { + long c = 0; + c += (long)x[0] - y[0]; + z[0] = (uint)c; + c >>= 32; + c += (long)x[1] - y[1]; + z[1] = (uint)c; + c >>= 32; + c += (long)x[2] - y[2]; + z[2] = (uint)c; + c >>= 32; + c += (long)x[3] - y[3]; + z[3] = (uint)c; + c >>= 32; + c += (long)x[4] - y[4]; + z[4] = (uint)c; + c >>= 32; + c += (long)x[5] - y[5]; + z[5] = (uint)c; + c >>= 32; + c += (long)x[6] - y[6]; + z[6] = (uint)c; + c >>= 32; + 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; + return (int)c; + } + + public static int SubBothFrom(uint[] x, uint[] y, uint[] z) + { + long c = 0; + c += (long)z[0] - x[0] - y[0]; + z[0] = (uint)c; + c >>= 32; + c += (long)z[1] - x[1] - y[1]; + z[1] = (uint)c; + c >>= 32; + c += (long)z[2] - x[2] - y[2]; + z[2] = (uint)c; + c >>= 32; + c += (long)z[3] - x[3] - y[3]; + z[3] = (uint)c; + c >>= 32; + c += (long)z[4] - x[4] - y[4]; + z[4] = (uint)c; + c >>= 32; + c += (long)z[5] - x[5] - y[5]; + z[5] = (uint)c; + c >>= 32; + c += (long)z[6] - x[6] - y[6]; + z[6] = (uint)c; + c >>= 32; + return (int)c; + } + + // TODO Re-write to allow full range for x? + public static int SubDWord(ulong x, uint[] z) + { + long c = -(long)x; + c += (long)z[0]; + z[0] = (uint)c; + c >>= 32; + c += (long)z[1]; + z[1] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Dec(z, 2); + } + + public static int SubExt(uint[] xx, uint[] yy, uint[] zz) + { + long c = 0; + for (int i = 0; i < 14; ++i) + { + c += (long)xx[i] - yy[i]; + zz[i] = (uint)c; + c >>= 32; + } + return (int)c; + } + + public static int SubFromExt(uint[] x, int xOff, uint[] zz, int zzOff) + { + Debug.Assert(zzOff <= 7); + long c = 0; + c += (long)zz[zzOff + 0] - x[xOff + 0]; + zz[zzOff + 0] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 1] - x[xOff + 1]; + zz[zzOff + 1] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 2] - x[xOff + 2]; + zz[zzOff + 2] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 3] - x[xOff + 3]; + zz[zzOff + 3] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 4] - x[xOff + 4]; + zz[zzOff + 4] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 5] - x[xOff + 5]; + zz[zzOff + 5] = (uint)c; + c >>= 32; + c += (long)zz[zzOff + 6] - x[xOff + 6]; + zz[zzOff + 6] = (uint)c; + c >>= 32; + return (int)c; + } + + public static int SubWord(uint x, uint[] z, int zOff) + { + Debug.Assert(zOff <= 6); + long c = (long)z[zOff + 0] - x; + z[zOff + 0] = (uint)c; + c >>= 32; + return c == 0 ? 0 : Dec(z, zOff + 1); + } + + public static int SubWordExt(uint x, uint[] zz, int zzOff) + { + Debug.Assert(zzOff <= 13); + long c = (long)zz[zzOff + 0] - x; + zz[zzOff + 0] = (uint)c; + c >>= 32; + return c == 0 ? 0 : DecExt(zz, zzOff + 1); + } + + public static BigInteger ToBigInteger(uint[] x) + { + byte[] bs = new byte[28]; + for (int i = 0; i < 7; ++i) + { + uint x_i = x[i]; + if (x_i != 0) + { + Pack.UInt32_To_BE(x_i, bs, (6 - i) << 2); + } + } + return new BigInteger(1, bs); + } + + public static void Zero(uint[] z) + { + z[0] = 0; + z[1] = 0; + z[2] = 0; + z[3] = 0; + z[4] = 0; + z[5] = 0; + z[6] = 0; + } + } +} |