using System; using System.Diagnostics; using Org.BouncyCastle.Crypto.Utilities; using Org.BouncyCastle.Math.Raw; using Org.BouncyCastle.Security; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP192R1Field { // 2^192 - 2^64 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private static readonly uint[] PExtInv = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0x00000001, 0x00000000, 0x00000002 }; private const uint P5 = 0xFFFFFFFF; private const uint PExt11 = 0xFFFFFFFF; 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))) { AddPInvTo(z); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat.Add(12, xx, yy, zz); if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt))) { if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0) { Nat.IncAt(12, zz, PExtInv.Length); } } } public static void AddOne(uint[] x, uint[] z) { uint c = Nat.Inc(6, x, z); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { AddPInvTo(z); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat.FromBigInteger(192, x); if (z[5] == P5 && Nat192.Gte(z, P)) { Nat192.SubFrom(P, z); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat.ShiftDownBit(6, x, 0, z); } else { uint c = Nat192.Add(x, P, z); Nat.ShiftDownBit(6, z, c); } } public static void Inv(uint[] x, uint[] z) { Mod.CheckedModOddInverse(P, x, z); } public static int IsZero(uint[] x) { uint d = 0; for (int i = 0; i < 6; ++i) { d |= x[i]; } d = (d >> 1) | (d & 1); return ((int)d - 1) >> 31; } 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 MultiplyAddToExt(uint[] x, uint[] y, uint[] zz) { uint c = Nat192.MulAddTo(x, y, zz); if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt))) { if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0) { Nat.IncAt(12, zz, PExtInv.Length); } } } public static void Negate(uint[] x, uint[] z) { if (0 != IsZero(x)) { Nat192.Sub(P, P, z); } else { Nat192.Sub(P, x, z); } } public static void Random(SecureRandom r, uint[] z) { byte[] bb = new byte[6 * 4]; do { r.NextBytes(bb); Pack.LE_To_UInt32(bb, 0, z, 0, 6); } while (0 == Nat.LessThan(6, z, P)); } public static void RandomMult(SecureRandom r, uint[] z) { do { Random(r, z); } while (0 != IsZero(z)); } public static void Reduce(uint[] xx, uint[] z) { ulong xx06 = xx[6], xx07 = xx[7], xx08 = xx[8]; ulong xx09 = xx[9], xx10 = xx[10], xx11 = xx[11]; ulong t0 = xx06 + xx10; ulong t1 = xx07 + xx11; ulong cc = 0; cc += (ulong)xx[0] + t0; uint z0 = (uint)cc; cc >>= 32; cc += (ulong)xx[1] + t1; z[1] = (uint)cc; cc >>= 32; t0 += xx08; t1 += xx09; cc += (ulong)xx[2] + t0; ulong z2 = (uint)cc; cc >>= 32; cc += (ulong)xx[3] + t1; z[3] = (uint)cc; cc >>= 32; t0 -= xx06; t1 -= xx07; cc += (ulong)xx[4] + t0; z[4] = (uint)cc; cc >>= 32; cc += (ulong)xx[5] + t1; z[5] = (uint)cc; cc >>= 32; z2 += cc; cc += z0; z[0] = (uint)cc; cc >>= 32; if (cc != 0) { cc += z[1]; z[1] = (uint)cc; z2 += cc >> 32; } z[2] = (uint)z2; cc = z2 >> 32; Debug.Assert(cc == 0 || cc == 1); if ((cc != 0 && Nat.IncAt(6, z, 3) != 0) || (z[5] == P5 && Nat192.Gte(z, P))) { AddPInvTo(z); } } public static void Reduce32(uint x, uint[] z) { ulong cc = 0; if (x != 0) { cc += (ulong)z[0] + x; z[0] = (uint)cc; cc >>= 32; if (cc != 0) { cc += (ulong)z[1]; z[1] = (uint)cc; cc >>= 32; } cc += (ulong)z[2] + x; z[2] = (uint)cc; cc >>= 32; Debug.Assert(cc == 0 || cc == 1); } if ((cc != 0 && Nat.IncAt(6, z, 3) != 0) || (z[5] == P5 && Nat192.Gte(z, P))) { AddPInvTo(z); } } 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) { SubPInvFrom(z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat.Sub(12, xx, yy, zz); if (c != 0) { if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0) { Nat.DecAt(12, zz, PExtInv.Length); } } } public static void Twice(uint[] x, uint[] z) { uint c = Nat.ShiftUpBit(6, x, 0, z); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { AddPInvTo(z); } } private static void AddPInvTo(uint[] z) { long c = (long)z[0] + 1; z[0] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[1]; z[1] = (uint)c; c >>= 32; } c += (long)z[2] + 1; z[2] = (uint)c; c >>= 32; if (c != 0) { Nat.IncAt(6, z, 3); } } private static void SubPInvFrom(uint[] z) { long c = (long)z[0] - 1; z[0] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[1]; z[1] = (uint)c; c >>= 32; } c += (long)z[2] - 1; z[2] = (uint)c; c >>= 32; if (c != 0) { Nat.DecAt(6, z, 3); } } } }