using System; using System.Diagnostics; using Org.BouncyCastle.Math.Raw; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP160R2Field { // 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFAC73, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; internal static readonly uint[] PExt = new uint[]{ 0x1B44BBA9, 0x0000A71A, 0x00000001, 0x00000000, 0x00000000, 0xFFFF58E6, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; private static readonly uint[] PExtInv = new uint[]{ 0xE4BB4457, 0xFFFF58E5, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x0000A719, 0x00000002 }; private const uint P4 = 0xFFFFFFFF; private const uint PExt9 = 0xFFFFFFFF; private const uint PInv33 = 0x538D; public static void Add(uint[] x, uint[] y, uint[] z) { uint c = Nat160.Add(x, y, z); if (c != 0 || (z[4] == P4 && Nat160.Gte(z, P))) { Nat.Add33To(5, PInv33, z); } } public static void AddExt(uint[] xx, uint[] yy, uint[] zz) { uint c = Nat.Add(10, xx, yy, zz); if (c != 0 || (zz[9] == PExt9 && Nat.Gte(10, zz, PExt))) { if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0) { Nat.IncAt(10, zz, PExtInv.Length); } } } public static void AddOne(uint[] x, uint[] z) { uint c = Nat.Inc(5, x, z); if (c != 0 || (z[4] == P4 && Nat160.Gte(z, P))) { Nat.Add33To(5, PInv33, z); } } public static uint[] FromBigInteger(BigInteger x) { uint[] z = Nat160.FromBigInteger(x); if (z[4] == P4 && Nat160.Gte(z, P)) { Nat160.SubFrom(P, z); } return z; } public static void Half(uint[] x, uint[] z) { if ((x[0] & 1) == 0) { Nat.ShiftDownBit(5, x, 0, z); } else { uint c = Nat160.Add(x, P, z); Nat.ShiftDownBit(5, z, c); } } public static void Multiply(uint[] x, uint[] y, uint[] z) { uint[] tt = Nat160.CreateExt(); Nat160.Mul(x, y, tt); Reduce(tt, z); } public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz) { uint c = Nat160.MulAddTo(x, y, zz); if (c != 0 || (zz[9] == PExt9 && Nat.Gte(10, zz, PExt))) { if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0) { Nat.IncAt(10, zz, PExtInv.Length); } } } public static void Negate(uint[] x, uint[] z) { if (Nat160.IsZero(x)) { Nat160.Zero(z); } else { Nat160.Sub(P, x, z); } } public static void Reduce(uint[] xx, uint[] z) { ulong cc = Nat160.Mul33Add(PInv33, xx, 5, xx, 0, z, 0); uint c = Nat160.Mul33DWordAdd(PInv33, cc, z, 0); Debug.Assert(c == 0 || c == 1); if (c != 0 || (z[4] == P4 && Nat160.Gte(z, P))) { Nat.Add33To(5, PInv33, z); } } public static void Reduce32(uint x, uint[] z) { if ((x != 0 && Nat160.Mul33WordAdd(PInv33, x, z, 0) != 0) || (z[4] == P4 && Nat160.Gte(z, P))) { Nat.Add33To(5, PInv33, z); } } public static void Square(uint[] x, uint[] z) { uint[] tt = Nat160.CreateExt(); Nat160.Square(x, tt); Reduce(tt, z); } public static void SquareN(uint[] x, int n, uint[] z) { Debug.Assert(n > 0); uint[] tt = Nat160.CreateExt(); Nat160.Square(x, tt); Reduce(tt, z); while (--n > 0) { Nat160.Square(z, tt); Reduce(tt, z); } } public static void Subtract(uint[] x, uint[] y, uint[] z) { int c = Nat160.Sub(x, y, z); if (c != 0) { Nat.Sub33From(5, PInv33, z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat.Sub(10, xx, yy, zz); if (c != 0) { if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0) { Nat.DecAt(10, zz, PExtInv.Length); } } } public static void Twice(uint[] x, uint[] z) { uint c = Nat.ShiftUpBit(5, x, 0, z); if (c != 0 || (z[4] == P4 && Nat160.Gte(z, P))) { Nat.Add33To(5, PInv33, z); } } } }