using System; using System.Diagnostics; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP192K1Field { // 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFEE37, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint P5 = 0xFFFFFFFF; private static readonly uint[] PExt = new uint[]{ 0x013C4FD1, 0x00002392, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0xFFFFDC6E, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint PExt11 = 0xFFFFFFFF; private const ulong PInv = 0x00000001000011C9L; private const uint PInv33 = 0x11C9; public static void Add(uint[] x, uint[] y, uint[] z) { uint c = Nat192.Add(x, y, z); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.AddDWord(PInv, z, 0); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat192.AddExt(xx, yy, zz); if (c != 0 || (zz[11] == PExt11 && Nat192.GteExt(zz, PExt))) { Nat192.SubExt(zz, PExt, zz); } } public static void AddOne(uint[] x, uint[] z) { Array.Copy(x, 0, z, 0, 6); uint c = Nat192.Inc(z, 0); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.AddDWord(PInv, z, 0); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat192.FromBigInteger(x); if (z[5] == P5 && Nat192.Gte(z, P)) { Nat192.AddDWord(PInv, z, 0); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat192.ShiftDownBit(x, 0, z); } else { uint c = Nat192.Add(x, P, z); Nat192.ShiftDownBit(z, c, z); } } public static void Multiply(uint[] x, uint[] y, uint[] z) { uint[] tt = Nat192.CreateExt(); Nat192.Mul(x, y, tt); Reduce(tt, z); } public static void Negate(uint[] x, uint[] z) { if (Nat192.IsZero(x)) { Nat192.Zero(z); } else { Nat192.Sub(P, x, z); } } public static void Reduce(uint[] xx, uint[] z) { ulong c = Nat192.Mul33AddExt(PInv33, xx, 6, xx, 0, z, 0); c = Nat192.Mul33DWordAdd(PInv33, c, z, 0); Debug.Assert(c == 0 || c == 1); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.AddDWord(PInv, z, 0); } } public static void Square(uint[] x, uint[] z) { uint[] tt = Nat192.CreateExt(); Nat192.Square(x, tt); Reduce(tt, z); } public static void SquareN(uint[] x, int n, uint[] z) { Debug.Assert(n > 0); uint[] tt = Nat192.CreateExt(); Nat192.Square(x, tt); Reduce(tt, z); while (--n > 0) { Nat192.Square(z, tt); Reduce(tt, z); } } public static void Subtract(uint[] x, uint[] y, uint[] z) { int c = Nat192.Sub(x, y, z); if (c != 0) { Nat192.SubDWord(PInv, z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat192.SubExt(xx, yy, zz); if (c != 0) { Nat192.AddExt(zz, PExt, zz); } } public static void Twice(uint[] x, uint[] z) { uint c = Nat192.ShiftUpBit(x, 0, z); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.AddDWord(PInv, z, 0); } } } }