using System; using System.Diagnostics; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP256K1Field { // 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFFC2F, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint P7 = 0xFFFFFFFF; private static readonly uint[] PExt = new uint[]{ 0x000E90A1, 0x000007A2, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFF85E, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint PExt15 = 0xFFFFFFFF; private const ulong PInv = 0x00000001000003D1UL; private const uint PInv33 = 0x3D1; public static void Add(uint[] x, uint[] y, uint[] z) { uint c = Nat256.Add(x, y, z); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat256.AddDWord(PInv, z, 0); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat256.AddExt(xx, yy, zz); if (c != 0 || (zz[15] == PExt15 && Nat256.GteExt(zz, PExt))) { Nat256.SubExt(zz, PExt, zz); } } public static void AddOne(uint[] x, uint[] z) { Nat256.Copy(x, z); uint c = Nat256.Inc(z, 0); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat256.AddDWord(PInv, z, 0); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat256.FromBigInteger(x); if (z[7] == P7 && Nat256.Gte(z, P)) { Nat256.AddDWord(PInv, z, 0); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat256.ShiftDownBit(x, 0, z); } else { uint c = Nat256.Add(x, P, z); Nat256.ShiftDownBit(z, c, z); } } public static void Multiply(uint[] x, uint[] y, uint[] z) { uint[] tt = Nat256.CreateExt(); Nat256.Mul(x, y, tt); Reduce(tt, z); } public static void Negate(uint[] x, uint[] z) { if (Nat256.IsZero(x)) { Nat256.Zero(z); } else { Nat256.Sub(P, x, z); } } public static void Reduce(uint[] xx, uint[] z) { ulong c = Nat256.Mul33Add(PInv33, xx, 8, xx, 0, z, 0); c = Nat256.Mul33DWordAdd(PInv33, c, z, 0); Debug.Assert(c == 0 || c == 1); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat256.AddDWord(PInv, z, 0); } } public static void Reduce32(uint x, uint[] z) { uint c = Nat256.Mul33WordAdd(PInv33, x, z, 0); Debug.Assert(c == 0 || c == 1); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat256.AddDWord(PInv, z, 0); } } public static void Square(uint[] x, uint[] z) { uint[] tt = Nat256.CreateExt(); Nat256.Square(x, tt); Reduce(tt, z); } public static void SquareN(uint[] x, int n, uint[] z) { Debug.Assert(n > 0); uint[] tt = Nat256.CreateExt(); Nat256.Square(x, tt); Reduce(tt, z); while (--n > 0) { Nat256.Square(z, tt); Reduce(tt, z); } } public static void Subtract(uint[] x, uint[] y, uint[] z) { int c = Nat256.Sub(x, y, z); if (c != 0) { Nat256.SubDWord(PInv, z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat256.SubExt(xx, yy, zz); if (c != 0) { Nat256.AddExt(zz, PExt, zz); } } public static void Twice(uint[] x, uint[] z) { uint c = Nat256.ShiftUpBit(x, 0, z); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat256.AddDWord(PInv, z, 0); } } } }