#if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR) #pragma warning disable using System; using System.Diagnostics; using BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc8032; using BestHTTP.SecureProtocol.Org.BouncyCastle.Security; using BestHTTP.SecureProtocol.Org.BouncyCastle.Utilities; namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc7748 { public abstract class X448 { public const int PointSize = 56; public const int ScalarSize = 56; private const uint C_A = 156326; private const uint C_A24 = (C_A + 2)/4; //private static readonly uint[] Sqrt156324 = { 0x0551B193U, 0x07A21E17U, 0x0E635AD3U, 0x00812ABBU, 0x025B3F99U, 0x01605224U, // 0x0AF8CB32U, 0x0D2E7D68U, 0x06BA50FDU, 0x08E55693U, 0x0CB08EB4U, 0x02ABEBC1U, 0x051BA0BBU, 0x02F8812EU, 0x0829B611U, // 0x0BA4D3A0U }; public static bool CalculateAgreement(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff) { ScalarMult(k, kOff, u, uOff, r, rOff); return !Arrays.AreAllZeroes(r, rOff, PointSize); } private static uint Decode32(byte[] bs, int off) { uint n = bs[off]; n |= (uint)bs[++off] << 8; n |= (uint)bs[++off] << 16; n |= (uint)bs[++off] << 24; return n; } private static void DecodeScalar(byte[] k, int kOff, uint[] n) { for (int i = 0; i < 14; ++i) { n[i] = Decode32(k, kOff + i * 4); } n[ 0] &= 0xFFFFFFFCU; n[13] |= 0x80000000U; } public static void GeneratePrivateKey(SecureRandom random, byte[] k) { random.NextBytes(k); k[0] &= 0xFC; k[ScalarSize - 1] |= 0x80; } public static void GeneratePublicKey(byte[] k, int kOff, byte[] r, int rOff) { ScalarMultBase(k, kOff, r, rOff); } private static void PointDouble(uint[] x, uint[] z) { uint[] A = X448Field.Create(); uint[] B = X448Field.Create(); //X448Field.Apm(x, z, A, B); X448Field.Add(x, z, A); X448Field.Sub(x, z, B); X448Field.Sqr(A, A); X448Field.Sqr(B, B); X448Field.Mul(A, B, x); X448Field.Sub(A, B, A); X448Field.Mul(A, C_A24, z); X448Field.Add(z, B, z); X448Field.Mul(z, A, z); } public static void Precompute() { Ed448.Precompute(); } public static void ScalarMult(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff) { uint[] n = new uint[14]; DecodeScalar(k, kOff, n); uint[] x1 = X448Field.Create(); X448Field.Decode(u, uOff, x1); uint[] x2 = X448Field.Create(); X448Field.Copy(x1, 0, x2, 0); uint[] z2 = X448Field.Create(); z2[0] = 1; uint[] x3 = X448Field.Create(); x3[0] = 1; uint[] z3 = X448Field.Create(); uint[] t1 = X448Field.Create(); uint[] t2 = X448Field.Create(); Debug.Assert(n[13] >> 31 == 1U); int bit = 447, swap = 1; do { //X448Field.Apm(x3, z3, t1, x3); X448Field.Add(x3, z3, t1); X448Field.Sub(x3, z3, x3); //X448Field.Apm(x2, z2, z3, x2); X448Field.Add(x2, z2, z3); X448Field.Sub(x2, z2, x2); X448Field.Mul(t1, x2, t1); X448Field.Mul(x3, z3, x3); X448Field.Sqr(z3, z3); X448Field.Sqr(x2, x2); X448Field.Sub(z3, x2, t2); X448Field.Mul(t2, C_A24, z2); X448Field.Add(z2, x2, z2); X448Field.Mul(z2, t2, z2); X448Field.Mul(x2, z3, x2); //X448Field.Apm(t1, x3, x3, z3); X448Field.Sub(t1, x3, z3); X448Field.Add(t1, x3, x3); X448Field.Sqr(x3, x3); X448Field.Sqr(z3, z3); X448Field.Mul(z3, x1, z3); --bit; int word = bit >> 5, shift = bit & 0x1F; int kt = (int)(n[word] >> shift) & 1; swap ^= kt; X448Field.CSwap(swap, x2, x3); X448Field.CSwap(swap, z2, z3); swap = kt; } while (bit >= 2); Debug.Assert(swap == 0); for (int i = 0; i < 2; ++i) { PointDouble(x2, z2); } X448Field.Inv(z2, z2); X448Field.Mul(x2, z2, x2); X448Field.Normalize(x2); X448Field.Encode(x2, r, rOff); } public static void ScalarMultBase(byte[] k, int kOff, byte[] r, int rOff) { uint[] x = X448Field.Create(); uint[] y = X448Field.Create(); Ed448.ScalarMultBaseXY(k, kOff, x, y); X448Field.Inv(x, x); X448Field.Mul(x, y, x); X448Field.Sqr(x, x); X448Field.Normalize(x); X448Field.Encode(x, r, rOff); } } } #pragma warning restore #endif