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using System;
using System.Diagnostics;
using Org.BouncyCastle.Math.EC.Rfc8032;
using Org.BouncyCastle.Security;
using Org.BouncyCastle.Utilities;
namespace Org.BouncyCastle.Math.EC.Rfc7748
{
using F = X448Field;
public static 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);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static bool CalculateAgreement(ReadOnlySpan<byte> k, ReadOnlySpan<byte> u, Span<byte> r)
{
ScalarMult(k, u, r);
return !Arrays.AreAllZeroes(r[..PointSize]);
}
#endif
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
private static uint Decode32(ReadOnlySpan<byte> bs)
{
uint n = bs[0];
n |= (uint)bs[1] << 8;
n |= (uint)bs[2] << 16;
n |= (uint)bs[3] << 24;
return n;
}
private static void DecodeScalar(ReadOnlySpan<byte> k, uint[] n)
{
for (int i = 0; i < 14; ++i)
{
n[i] = Decode32(k[(i * 4)..]);
}
n[ 0] &= 0xFFFFFFFCU;
n[13] |= 0x80000000U;
}
#else
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;
}
#endif
public static void GeneratePrivateKey(SecureRandom random, byte[] k)
{
if (k.Length != ScalarSize)
throw new ArgumentException(nameof(k));
random.NextBytes(k);
k[0] &= 0xFC;
k[ScalarSize - 1] |= 0x80;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void GeneratePrivateKey(SecureRandom random, Span<byte> k)
{
if (k.Length != ScalarSize)
throw new ArgumentException(nameof(k));
random.NextBytes(k);
k[0] &= 0xFC;
k[ScalarSize - 1] |= 0x80;
}
#endif
public static void GeneratePublicKey(byte[] k, int kOff, byte[] r, int rOff)
{
ScalarMultBase(k, kOff, r, rOff);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void GeneratePublicKey(ReadOnlySpan<byte> k, Span<byte> r)
{
ScalarMultBase(k, r);
}
#endif
private static void PointDouble(uint[] x, uint[] z)
{
uint[] a = F.Create();
uint[] b = F.Create();
//F.Apm(x, z, a, b);
F.Add(x, z, a);
F.Sub(x, z, b);
F.Sqr(a, a);
F.Sqr(b, b);
F.Mul(a, b, x);
F.Sub(a, b, a);
F.Mul(a, C_A24, z);
F.Add(z, b, z);
F.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)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
ScalarMult(k.AsSpan(kOff), u.AsSpan(uOff), r.AsSpan(rOff));
#else
uint[] n = new uint[14]; DecodeScalar(k, kOff, n);
uint[] x1 = F.Create(); F.Decode(u, uOff, x1);
uint[] x2 = F.Create(); F.Copy(x1, 0, x2, 0);
uint[] z2 = F.Create(); z2[0] = 1;
uint[] x3 = F.Create(); x3[0] = 1;
uint[] z3 = F.Create();
uint[] t1 = F.Create();
uint[] t2 = F.Create();
Debug.Assert(n[13] >> 31 == 1U);
int bit = 447, swap = 1;
do
{
//F.Apm(x3, z3, t1, x3);
F.Add(x3, z3, t1);
F.Sub(x3, z3, x3);
//F.Apm(x2, z2, z3, x2);
F.Add(x2, z2, z3);
F.Sub(x2, z2, x2);
F.Mul(t1, x2, t1);
F.Mul(x3, z3, x3);
F.Sqr(z3, z3);
F.Sqr(x2, x2);
F.Sub(z3, x2, t2);
F.Mul(t2, C_A24, z2);
F.Add(z2, x2, z2);
F.Mul(z2, t2, z2);
F.Mul(x2, z3, x2);
//F.Apm(t1, x3, x3, z3);
F.Sub(t1, x3, z3);
F.Add(t1, x3, x3);
F.Sqr(x3, x3);
F.Sqr(z3, z3);
F.Mul(z3, x1, z3);
--bit;
int word = bit >> 5, shift = bit & 0x1F;
int kt = (int)(n[word] >> shift) & 1;
swap ^= kt;
F.CSwap(swap, x2, x3);
F.CSwap(swap, z2, z3);
swap = kt;
}
while (bit >= 2);
Debug.Assert(swap == 0);
for (int i = 0; i < 2; ++i)
{
PointDouble(x2, z2);
}
F.Inv(z2, z2);
F.Mul(x2, z2, x2);
F.Normalize(x2);
F.Encode(x2, r, rOff);
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void ScalarMult(ReadOnlySpan<byte> k, ReadOnlySpan<byte> u, Span<byte> r)
{
uint[] n = new uint[14]; DecodeScalar(k, n);
uint[] x1 = F.Create(); F.Decode(u, x1);
uint[] x2 = F.Create(); F.Copy(x1, 0, x2, 0);
uint[] z2 = F.Create(); z2[0] = 1;
uint[] x3 = F.Create(); x3[0] = 1;
uint[] z3 = F.Create();
uint[] t1 = F.Create();
uint[] t2 = F.Create();
Debug.Assert(n[13] >> 31 == 1U);
int bit = 447, swap = 1;
do
{
//F.Apm(x3, z3, t1, x3);
F.Add(x3, z3, t1);
F.Sub(x3, z3, x3);
//F.Apm(x2, z2, z3, x2);
F.Add(x2, z2, z3);
F.Sub(x2, z2, x2);
F.Mul(t1, x2, t1);
F.Mul(x3, z3, x3);
F.Sqr(z3, z3);
F.Sqr(x2, x2);
F.Sub(z3, x2, t2);
F.Mul(t2, C_A24, z2);
F.Add(z2, x2, z2);
F.Mul(z2, t2, z2);
F.Mul(x2, z3, x2);
//F.Apm(t1, x3, x3, z3);
F.Sub(t1, x3, z3);
F.Add(t1, x3, x3);
F.Sqr(x3, x3);
F.Sqr(z3, z3);
F.Mul(z3, x1, z3);
--bit;
int word = bit >> 5, shift = bit & 0x1F;
int kt = (int)(n[word] >> shift) & 1;
swap ^= kt;
F.CSwap(swap, x2, x3);
F.CSwap(swap, z2, z3);
swap = kt;
}
while (bit >= 2);
Debug.Assert(swap == 0);
for (int i = 0; i < 2; ++i)
{
PointDouble(x2, z2);
}
F.Inv(z2, z2);
F.Mul(x2, z2, x2);
F.Normalize(x2);
F.Encode(x2, r);
}
#endif
public static void ScalarMultBase(byte[] k, int kOff, byte[] r, int rOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
ScalarMultBase(k.AsSpan(kOff), r.AsSpan(rOff));
#else
// Equivalent (but much slower)
//byte[] u = new byte[PointSize];
//u[0] = 5;
//ScalarMult(k, kOff, u, 0, r, rOff);
uint[] x = F.Create();
uint[] y = F.Create();
Ed448.ScalarMultBaseXY(k, kOff, x, y);
F.Inv(x, x);
F.Mul(x, y, x);
F.Sqr(x, x);
F.Normalize(x);
F.Encode(x, r, rOff);
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void ScalarMultBase(ReadOnlySpan<byte> k, Span<byte> r)
{
// Equivalent (but much slower)
//Span<byte> u = stackalloc byte[PointSize];
//u[0] = 5;
//ScalarMult(k, u, r);
uint[] x = F.Create();
uint[] y = F.Create();
Ed448.ScalarMultBaseXY(k, x, y);
F.Inv(x, x);
F.Mul(x, y, x);
F.Sqr(x, x);
F.Normalize(x);
F.Encode(x, r);
}
#endif
}
}
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