using System; using System.Diagnostics; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP521R1Field { // 2^521 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x1FF }; private const int P16 = 0x1FF; public static void Add(uint[] x, uint[] y, uint[] z) { uint c = Nat.Add(16, x, y, z) + x[16] + y[16]; if (c > P16 || (c == P16 && Nat.Eq(16, z, P))) { c += Nat.Inc(16, z, 0); c &= P16; } z[16] = c; } public static void AddOne(uint[] x, uint[] z) { Array.Copy(x, 0, z, 0, 16); uint c = Nat.Inc(16, z, 0) + z[16]; if (c > P16 || (c == P16 && Nat.Eq(16, z, P))) { c += Nat.Inc(16, z, 0); c &= P16; } z[16] = c; } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat.FromBigInteger(521, x); if (Nat.Eq(17, z, P)) { Nat.Zero(17, z); } return z; } public static void Half(uint[] x, uint[] z) { uint c0 = x[0] & 1, x16 = x[16], c512 = x16 & 1; Nat.ShiftDownBit(16, x, c512, z); z[16] = (x16 >> 1) | (c0 << 8); } public static void Multiply(uint[] x, uint[] y, uint[] z) { uint[] tt = Nat.Create(34); Nat.Mul(17, x, y, tt); Reduce(tt, z); } public static void Negate(uint[] x, uint[] z) { if (Nat.IsZero(17, x)) { Nat.Zero(17, z); } else { Nat.Sub(17, P, x, z); } } public static void Reduce(uint[] xx, uint[] z) { Debug.Assert(xx[33] == 0); Debug.Assert(xx[32] >> 18 == 0); uint xx32 = xx[32]; uint c = Nat.ShiftDownBitsExt(16, xx, 16, 9, xx32, z) >> 23; c += xx32 >> 9; c += Nat.Add(16, z, xx, z); if (c > P16 || (c == P16 && Nat.Eq(16, z, P))) { c += Nat.Inc(16, z, 0); c &= P16; } z[16] = c; } public static void Reduce23(uint[] z) { uint z16 = z[16]; uint c = Nat.AddWord(16, z16 >> 9, z) + (z16 & P16); if (c > P16 || (c == P16 && Nat.Eq(16, z, P))) { c += Nat.Inc(16, z, 0); c &= P16; } z[16] = c; } public static void Square(uint[] x, uint[] z) { uint[] tt = Nat.Create(34); Nat.Square(17, x, tt); Reduce(tt, z); } public static void SquareN(uint[] x, int n, uint[] z) { Debug.Assert(n > 0); uint[] tt = Nat.Create(34); Nat.Square(17, x, tt); Reduce(tt, z); while (--n > 0) { Nat.Square(17, z, tt); Reduce(tt, z); } } public static void Subtract(uint[] x, uint[] y, uint[] z) { int c = Nat.Sub(16, x, y, z) + (int)(x[16] - y[16]); if (c < 0) { c += Nat.Dec(16, z, 0); c &= P16; } z[16] = (uint)c; } public static void Twice(uint[] x, uint[] z) { uint c = Nat.ShiftUpBit(16, x, 0, z) | (x[16] << 1); if (c > P16 || (c == P16 && Nat.Eq(16, z, P))) { c += Nat.Inc(16, z, 0); c &= P16; } z[16] = c; } } }