using System; using System.Diagnostics; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class Curve25519Field { // 2^255 - 2^4 - 2^1 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x7FFFFFFF }; private const int P7 = 0x7FFFFFFF; private static readonly uint[] PExt = new uint[]{ 0x00000169, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x3FFFFFFF }; private const uint PInv = 0x13; public static void Add(uint[] x, uint[] y, uint[] z) { Nat256.Add(x, y, z); if (Nat256.Gte(z, P)) { Nat256.AddWord(PInv, z, 0); z[7] &= P7; } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { Nat256.AddExt(xx, yy, zz); if (Nat256.GteExt(zz, PExt)) { Nat256.SubExt(zz, PExt, zz); } } public static void AddOne(uint[] x, uint[] z) { Nat256.Copy(x, z); Nat256.Inc(z, 0); if (Nat256.Gte(z, P)) { Nat256.AddWord(PInv, z, 0); z[7] &= P7; } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat256.FromBigInteger(x); if (Nat256.Gte(z, P)) { Nat256.AddWord(PInv, z, 0); z[7] &= P7; } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat.ShiftDownBit(8, x, 0, z); } else { Nat256.Add(x, P, z); Nat.ShiftDownBit(8, z, 0); } } 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) { Debug.Assert(xx[15] >> 30 == 0); uint xx07 = xx[7]; Nat.ShiftUpBit(8, xx, 8, xx07, z); uint c = Nat256.MulByWordAddTo(PInv, xx, z) << 1; uint z07 = z[7]; z[7] = z07 & P7; c += (z07 >> 31) - (xx07 >> 31); Nat256.AddWord(c * PInv, z, 0); if (Nat256.Gte(z, P)) { Nat256.AddWord(PInv, z, 0); z[7] &= P7; } } 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) { // 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.SubWord(PInv, z, 0); z[7] &= P7; } } 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) { Nat256.ShiftUpBit(x, 0, z); if (Nat256.Gte(z, P)) { Nat256.AddWord(PInv, z, 0); z[7] &= P7; } } } }