using System; using System.Diagnostics; 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 const uint P5 = 0xFFFFFFFF; private static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 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))) { Nat192.Sub(z, P, z); } } 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) { Nat192.Copy(x, z); uint c = Nat192.Inc(z, 0); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.Sub(z, P, z); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat192.FromBigInteger(x); if (z[5] == P5 && Nat192.Gte(z, P)) { Nat192.Sub(z, P, z); } 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) { long xx06 = xx[6], xx07 = xx[7], xx08 = xx[8]; long xx09 = xx[9], xx10 = xx[10], xx11 = xx[11]; long t0 = xx06 + xx10; long t1 = xx07 + xx11; long cc = 0; cc += (long)xx[0] + t0; z[0] = (uint)cc; cc >>= 32; cc += (long)xx[1] + t1; z[1] = (uint)cc; cc >>= 32; t0 += xx08; t1 += xx09; cc += (long)xx[2] + t0; z[2] = (uint)cc; cc >>= 32; cc += (long)xx[3] + t1; z[3] = (uint)cc; cc >>= 32; t0 -= xx06; t1 -= xx07; cc += (long)xx[4] + t0; z[4] = (uint)cc; cc >>= 32; cc += (long)xx[5] + t1; z[5] = (uint)cc; cc >>= 32; int c = (int)cc; Debug.Assert(c >= 0); while (c > 0) { c += Nat192.Sub(z, P, z); } if (z[5] == P5 && Nat192.Gte(z, P)) { Nat192.Sub(z, P, z); } } public static void Reduce32(uint x, uint[] z) { uint c = Nat192.AddWord(x, z, 0) + Nat192.AddWord(x, z, 2); if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P))) { Nat192.Sub(z, P, 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) { Nat192.Add(z, P, 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.Sub(z, P, z); } } } }