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 }; internal static readonly uint[] PExt = new uint[]{ 0x000E90A1, 0x000007A2, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFF85E, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private static readonly uint[] PExtInv = new uint[]{ 0xFFF16F5F, 0xFFFFF85D, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x000007A1, 0x00000002 }; private const uint P7 = 0xFFFFFFFF; private const uint PExt15 = 0xFFFFFFFF; 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))) { Nat.Add33To(8, PInv33, z); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat.Add(16, xx, yy, zz); if (c != 0 || (zz[15] == PExt15 && Nat256.GteExt(zz, PExt))) { if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0) { Nat.IncAt(16, zz, PExtInv.Length); } } } public static void AddOne(uint[] x, uint[] z) { uint c = Nat.Inc(8, x, z); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat.Add33To(8, PInv33, z); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat256.FromBigInteger(x); if (z[7] == P7 && Nat256.Gte(z, P)) { Nat256.SubFrom(P, z); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat.ShiftDownBit(8, x, 0, z); } else { uint c = Nat256.Add(x, P, z); Nat.ShiftDownBit(8, z, c); } } 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 cc = Nat256.Mul33Add(PInv33, xx, 8, xx, 0, z, 0); uint c = Nat256.Mul33DWordAdd(PInv33, cc, z, 0); Debug.Assert(c == 0 || c == 1); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat.Add33To(8, PInv33, z); } } public static void Reduce32(uint x, uint[] z) { if ((x != 0 && Nat256.Mul33WordAdd(PInv33, x, z, 0) != 0) || (z[7] == P7 && Nat256.Gte(z, P))) { Nat.Add33To(8, PInv33, z); } } 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) { Nat.Sub33From(8, PInv33, z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat.Sub(16, xx, yy, zz); if (c != 0) { if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0) { Nat.DecAt(16, zz, PExtInv.Length); } } } public static void Twice(uint[] x, uint[] z) { uint c = Nat.ShiftUpBit(8, x, 0, z); if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { Nat.Add33To(8, PInv33, z); } } } }