using System; using System.Diagnostics; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP224R1Field { // 2^224 - 2^96 + 1 internal static readonly uint[] P = new uint[] { 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint P6 = 0xFFFFFFFF; private static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private const uint PExt13 = 0xFFFFFFFF; public static void Add(uint[] x, uint[] y, uint[] z) { uint c = Nat224.Add(x, y, z); if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) { Nat224.Sub(z, P, z); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat224.AddExt(xx, yy, zz); if (c != 0 || (zz[13] == PExt13 && Nat224.GteExt(zz, PExt))) { Nat224.SubExt(zz, PExt, zz); } } public static void AddOne(uint[] x, uint[] z) { Array.Copy(x, 0, z, 0, 6); uint c = Nat224.Inc(z, 0); if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) { Nat224.Sub(z, P, z); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat224.FromBigInteger(x); if (z[6] == P6 && Nat224.Gte(z, P)) { Nat224.Sub(z, P, z); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat224.ShiftDownBit(x, 0, z); } else { uint c = Nat224.Add(x, P, z); Nat224.ShiftDownBit(z, c, z); } } public static void Multiply(uint[] x, uint[] y, uint[] z) { uint[] tt = Nat224.CreateExt(); Nat224.Mul(x, y, tt); Reduce(tt, z); } public static void Negate(uint[] x, uint[] z) { if (Nat224.IsZero(x)) { Nat224.Zero(z); } else { Nat224.Sub(P, x, z); } } public static void Reduce(uint[] xx, uint[] z) { long xx07 = xx[7], xx08 = xx[8], xx09 = xx[9], xx10 = xx[10]; long xx11 = xx[11], xx12 = xx[12], xx13 = xx[13]; long t0 = xx07 + xx11; long t1 = xx08 + xx12; long t2 = xx09 + xx13; 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; cc += (long)xx[2] - t2; z[2] = (uint)cc; cc >>= 32; cc += (long)xx[3] + t0 - xx10; z[3] = (uint)cc; cc >>= 32; cc += (long)xx[4] + t1 - xx11; z[4] = (uint)cc; cc >>= 32; cc += (long)xx[5] + t2 - xx12; z[5] = (uint)cc; cc >>= 32; cc += (long)xx[6] + xx10 - xx13; z[6] = (uint)cc; cc >>= 32; int c = (int)cc; if (c < 0) { do { c += (int)Nat224.Add(z, P, z); } while (c < 0); } else { while (c > 0) { c += Nat224.Sub(z, P, z); } if (z[6] == P6 && Nat224.Gte(z, P)) { Nat224.Sub(z, P, z); } } } public static void Reduce32(uint x, uint[] z) { int c = Nat224.SubWord(x, z, 0) + (int)Nat224.AddWord(x, z, 3); if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) { Nat224.Sub(z, P, z); } } public static void Square(uint[] x, uint[] z) { uint[] tt = Nat224.CreateExt(); Nat224.Square(x, tt); Reduce(tt, z); } public static void SquareN(uint[] x, int n, uint[] z) { Debug.Assert(n > 0); uint[] tt = Nat224.CreateExt(); Nat224.Square(x, tt); Reduce(tt, z); while (--n > 0) { Nat224.Square(z, tt); Reduce(tt, z); } } public static void Subtract(uint[] x, uint[] y, uint[] z) { int c = Nat224.Sub(x, y, z); if (c != 0) { Nat224.Add(z, P, z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat224.SubExt(xx, yy, zz); if (c != 0) { Nat224.AddExt(zz, PExt, zz); } } public static void Twice(uint[] x, uint[] z) { uint c = Nat224.ShiftUpBit(x, 0, z); if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) { Nat224.Sub(z, P, z); } } } }