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using System;
using System.Diagnostics;
using Org.BouncyCastle.Crypto.Utilities;
using Org.BouncyCastle.Math.Raw;
using Org.BouncyCastle.Security;
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 uint P16 = 0x1FFU;
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);
c &= P16;
}
z[16] = c;
}
public static void AddOne(uint[] x, uint[] z)
{
uint c = Nat.Inc(16, x, z) + x[16];
if (c > P16 || (c == P16 && Nat.Eq(16, z, P)))
{
c += Nat.Inc(16, z);
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 x16 = x[16];
uint c = Nat.ShiftDownBit(16, x, x16, z);
z[16] = (x16 >> 1) | (c >> 23);
}
public static void Inv(uint[] x, uint[] z)
{
Mod.CheckedModOddInverse(P, x, z);
}
public static int IsZero(uint[] x)
{
uint d = 0;
for (int i = 0; i < 17; ++i)
{
d |= x[i];
}
d = (d >> 1) | (d & 1);
return ((int)d - 1) >> 31;
}
public static void Multiply(uint[] x, uint[] y, uint[] z)
{
uint[] tt = Nat.Create(33);
ImplMultiply(x, y, tt);
Reduce(tt, z);
}
public static void Negate(uint[] x, uint[] z)
{
if (0 != IsZero(x))
{
Nat.Sub(17, P, P, z);
}
else
{
Nat.Sub(17, P, x, z);
}
}
public static void Random(SecureRandom r, uint[] z)
{
byte[] bb = new byte[17 * 4];
do
{
r.NextBytes(bb);
Pack.LE_To_UInt32(bb, 0, z, 0, 17);
z[16] &= P16;
}
while (0 == Nat.LessThan(17, z, P));
}
public static void RandomMult(SecureRandom r, uint[] z)
{
do
{
Random(r, z);
}
while (0 != IsZero(z));
}
public static void Reduce(uint[] xx, uint[] z)
{
Debug.Assert(xx[32] >> 18 == 0);
uint xx32 = xx[32];
uint c = Nat.ShiftDownBits(16, xx, 16, 9, xx32, z, 0) >> 23;
c += xx32 >> 9;
c += Nat.AddTo(16, xx, z);
if (c > P16 || (c == P16 && Nat.Eq(16, z, P)))
{
c += Nat.Inc(16, z);
c &= P16;
}
z[16] = c;
}
public static void Reduce23(uint[] z)
{
uint z16 = z[16];
uint c = Nat.AddWordTo(16, z16 >> 9, z) + (z16 & P16);
if (c > P16 || (c == P16 && Nat.Eq(16, z, P)))
{
c += Nat.Inc(16, z);
c &= P16;
}
z[16] = c;
}
public static void Square(uint[] x, uint[] z)
{
uint[] tt = Nat.Create(33);
ImplSquare(x, tt);
Reduce(tt, z);
}
public static void SquareN(uint[] x, int n, uint[] z)
{
Debug.Assert(n > 0);
uint[] tt = Nat.Create(33);
ImplSquare(x, tt);
Reduce(tt, z);
while (--n > 0)
{
ImplSquare(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);
c &= (int)P16;
}
z[16] = (uint)c;
}
public static void Twice(uint[] x, uint[] z)
{
uint x16 = x[16];
uint c = Nat.ShiftUpBit(16, x, x16 << 23, z) | (x16 << 1);
z[16] = c & P16;
}
protected static void ImplMultiply(uint[] x, uint[] y, uint[] zz)
{
Nat512.Mul(x, y, zz);
uint x16 = x[16], y16 = y[16];
zz[32] = Nat.Mul31BothAdd(16, x16, y, y16, x, zz, 16) + (x16 * y16);
}
protected static void ImplSquare(uint[] x, uint[] zz)
{
Nat512.Square(x, zz);
uint x16 = x[16];
zz[32] = Nat.MulWordAddTo(16, x16 << 1, x, 0, zz, 16) + (x16 * x16);
}
}
}
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