public SecT571FieldElement(BigInteger x)
{
if (((x == null) || (x.SignValue < 0)) || (x.BitLength > 0x23b))
{
throw new ArgumentException("value invalid for SecT571FieldElement", "x");
}
this.x = SecT571Field.FromBigInteger(x);
}
public SecT571FieldElement(BigInteger x)
{
if (x == null || x.SignValue < 0)
{
throw new ArgumentException("value invalid for SecT571FieldElement", "x");
}
this.x = SecT571Field.FromBigInteger(x);
}
public SecT571FieldElement(BigInteger x)
{
//IL_0029: Unknown result type (might be due to invalid IL or missing references)
if (x == null || x.SignValue < 0 || x.BitLength > 571)
{
throw new ArgumentException("value invalid for SecT571FieldElement", "x");
}
this.x = SecT571Field.FromBigInteger(x);
}
public override ECFieldElement SquarePow(int pow)
{
if (pow < 1)
{
return(this);
}
ulong[] z = Nat576.Create64();
SecT571Field.SquareN(this.x, pow, z);
return(new SecT571FieldElement(z));
}
public static void SquareN(ulong[] x, int n, ulong[] z)
{
ulong[] array = Nat576.CreateExt64();
SecT571Field.ImplSquare(x, array);
SecT571Field.Reduce(array, z);
while (--n > 0)
{
SecT571Field.ImplSquare(z, array);
SecT571Field.Reduce(array, z);
}
}
public override ECFieldElement SquarePlusProduct(ECFieldElement x, ECFieldElement y)
{
ulong[] numArray = this.x;
ulong[] numArray2 = ((SecT571FieldElement)x).x;
ulong[] numArray3 = ((SecT571FieldElement)y).x;
ulong[] zz = Nat576.CreateExt64();
SecT571Field.SquareAddToExt(numArray, zz);
SecT571Field.MultiplyAddToExt(numArray2, numArray3, zz);
ulong[] z = Nat576.Create64();
SecT571Field.Reduce(zz, z);
return(new SecT571FieldElement(z));
}
public override ECFieldElement MultiplyPlusProduct(ECFieldElement b, ECFieldElement x, ECFieldElement y)
{
ulong[] array = this.x;
ulong[] y2 = ((SecT571FieldElement)b).x;
ulong[] array2 = ((SecT571FieldElement)x).x;
ulong[] y3 = ((SecT571FieldElement)y).x;
ulong[] array3 = Nat576.CreateExt64();
SecT571Field.MultiplyAddToExt(array, y2, array3);
SecT571Field.MultiplyAddToExt(array2, y3, array3);
ulong[] z = Nat576.Create64();
SecT571Field.Reduce(array3, z);
return(new SecT571FieldElement(z));
}
public override ECFieldElement MultiplyPlusProduct(ECFieldElement b, ECFieldElement x, ECFieldElement y)
{
ulong[] ax = this.x, bx = ((SecT571FieldElement)b).x;
ulong[] xx = ((SecT571FieldElement)x).x, yx = ((SecT571FieldElement)y).x;
ulong[] tt = Nat576.CreateExt64();
SecT571Field.MultiplyAddToExt(ax, bx, tt);
SecT571Field.MultiplyAddToExt(xx, yx, tt);
ulong[] z = Nat576.Create64();
SecT571Field.Reduce(tt, z);
return(new SecT571FieldElement(z));
}
protected static void ImplMultiply(ulong[] x, ulong[] y, ulong[] zz)
{
ulong[] array = new ulong[144];
Array.Copy(y, 0, array, 9, 9);
int num = 0;
for (int i = 7; i > 0; i--)
{
num += 18;
Nat.ShiftUpBit64(9, array, num >> 1, 0uL, array, num);
SecT571Field.Reduce5(array, num);
SecT571Field.Add(array, 9, array, num, array, num + 9);
}
ulong[] array2 = new ulong[array.Length];
Nat.ShiftUpBits64(array.Length, array, 0, 4, 0uL, array2, 0);
uint num2 = 15u;
for (int j = 56; j >= 0; j -= 8)
{
for (int k = 1; k < 9; k += 2)
{
uint num3 = (uint)(x[k] >> j);
uint num4 = num3 & num2;
uint num5 = num3 >> 4 & num2;
SecT571Field.AddBothTo(array, (int)(9u * num4), array2, (int)(9u * num5), zz, k - 1);
}
Nat.ShiftUpBits64(16, zz, 0, 8, 0uL);
}
for (int l = 56; l >= 0; l -= 8)
{
for (int m = 0; m < 9; m += 2)
{
uint num6 = (uint)(x[m] >> l);
uint num7 = num6 & num2;
uint num8 = num6 >> 4 & num2;
SecT571Field.AddBothTo(array, (int)(9u * num7), array2, (int)(9u * num8), zz, m);
}
if (l > 0)
{
Nat.ShiftUpBits64(18, zz, 0, 8, 0uL);
}
}
}
public static void SquareAddToExt(ulong[] x, ulong[] zz)
{
ulong[] array = Nat576.CreateExt64();
SecT571Field.ImplSquare(x, array);
SecT571Field.AddExt(zz, array, zz);
}
public override ECFieldElement Multiply(ECFieldElement b)
{
ulong[] z = Nat576.Create64();
SecT571Field.Multiply(x, ((SecT571FieldElement)b).x, z);
return(new SecT571FieldElement(z));
}
public override ECFieldElement Invert()
{
ulong[] z = Nat576.Create64();
SecT571Field.Invert(this.x, z);
return(new SecT571FieldElement(z));
}
public static void MultiplyAddToExt(ulong[] x, ulong[] y, ulong[] zz)
{
ulong[] array = Nat576.CreateExt64();
SecT571Field.ImplMultiply(x, y, array);
SecT571Field.AddExt(zz, array, zz);
}
public static void Multiply(ulong[] x, ulong[] y, ulong[] z)
{
ulong[] array = Nat576.CreateExt64();
SecT571Field.ImplMultiply(x, y, array);
SecT571Field.Reduce(array, z);
}
public static ulong[] FromBigInteger(BigInteger x)
{
ulong[] array = Nat576.FromBigInteger64(x);
SecT571Field.Reduce5(array, 0);
return(array);
}
public override ECFieldElement Add(ECFieldElement b)
{
ulong[] z = Nat576.Create64();
SecT571Field.Add(this.x, ((SecT571FieldElement)b).x, z);
return(new SecT571FieldElement(z));
}
public override int Trace()
{
return((int)SecT571Field.Trace(x));
}
public override ECFieldElement AddOne()
{
ulong[] z = Nat576.Create64();
SecT571Field.AddOne(x, z);
return(new SecT571FieldElement(z));
}
public override ECPoint Twice()
{
if (this.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecT571FieldElement X1 = (SecT571FieldElement)this.RawXCoord;
if (X1.IsZero)
{
// A point with X == 0 is its own additive inverse
return(curve.Infinity);
}
SecT571FieldElement L1 = (SecT571FieldElement)this.RawYCoord, Z1 = (SecT571FieldElement)this.RawZCoords[0];
ulong[] t1 = Nat576.Create64();
ulong[] t2 = Nat576.Create64();
ulong[] Z1Precomp = Z1.IsOne ? null : SecT571Field.PrecompMultiplicand(Z1.x);
ulong[] L1Z1, Z1Sq;
if (Z1Precomp == null)
{
L1Z1 = L1.x;
Z1Sq = Z1.x;
}
else
{
SecT571Field.MultiplyPrecomp(L1.x, Z1Precomp, L1Z1 = t1);
SecT571Field.Square(Z1.x, Z1Sq = t2);
}
ulong[] T = Nat576.Create64();
SecT571Field.Square(L1.x, T);
SecT571Field.AddBothTo(L1Z1, Z1Sq, T);
if (Nat576.IsZero64(T))
{
return(new SecT571R1Point(curve, new SecT571FieldElement(T), SecT571R1Curve.SecT571R1_B_SQRT, IsCompressed));
}
ulong[] tt = Nat576.CreateExt64();
SecT571Field.MultiplyAddToExt(T, L1Z1, tt);
SecT571FieldElement X3 = new SecT571FieldElement(t1);
SecT571Field.Square(T, X3.x);
SecT571FieldElement Z3 = new SecT571FieldElement(T);
if (Z1Precomp != null)
{
SecT571Field.Multiply(Z3.x, Z1Sq, Z3.x);
}
ulong[] X1Z1;
if (Z1Precomp == null)
{
X1Z1 = X1.x;
}
else
{
SecT571Field.MultiplyPrecomp(X1.x, Z1Precomp, X1Z1 = t2);
}
SecT571Field.SquareAddToExt(X1Z1, tt);
SecT571Field.Reduce(tt, t2);
SecT571Field.AddBothTo(X3.x, Z3.x, t2);
SecT571FieldElement L3 = new SecT571FieldElement(t2);
return(new SecT571R1Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed));
}
public override ECPoint Add(ECPoint b)
{
if (this.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecT571FieldElement X1 = (SecT571FieldElement)this.RawXCoord;
SecT571FieldElement X2 = (SecT571FieldElement)b.RawXCoord;
if (X1.IsZero)
{
if (X2.IsZero)
{
return(curve.Infinity);
}
return(b.Add(this));
}
SecT571FieldElement L1 = (SecT571FieldElement)this.RawYCoord, Z1 = (SecT571FieldElement)this.RawZCoords[0];
SecT571FieldElement L2 = (SecT571FieldElement)b.RawYCoord, Z2 = (SecT571FieldElement)b.RawZCoords[0];
ulong[] t1 = Nat576.Create64();
ulong[] t2 = Nat576.Create64();
ulong[] t3 = Nat576.Create64();
ulong[] t4 = Nat576.Create64();
ulong[] Z1Precomp = Z1.IsOne ? null : SecT571Field.PrecompMultiplicand(Z1.x);
ulong[] U2, S2;
if (Z1Precomp == null)
{
U2 = X2.x;
S2 = L2.x;
}
else
{
SecT571Field.MultiplyPrecomp(X2.x, Z1Precomp, U2 = t2);
SecT571Field.MultiplyPrecomp(L2.x, Z1Precomp, S2 = t4);
}
ulong[] Z2Precomp = Z2.IsOne ? null : SecT571Field.PrecompMultiplicand(Z2.x);
ulong[] U1, S1;
if (Z2Precomp == null)
{
U1 = X1.x;
S1 = L1.x;
}
else
{
SecT571Field.MultiplyPrecomp(X1.x, Z2Precomp, U1 = t1);
SecT571Field.MultiplyPrecomp(L1.x, Z2Precomp, S1 = t3);
}
ulong[] A = t3;
SecT571Field.Add(S1, S2, A);
ulong[] B = t4;
SecT571Field.Add(U1, U2, B);
if (Nat576.IsZero64(B))
{
if (Nat576.IsZero64(A))
{
return(Twice());
}
return(curve.Infinity);
}
SecT571FieldElement X3, L3, Z3;
if (X2.IsZero)
{
// TODO This can probably be optimized quite a bit
ECPoint p = this.Normalize();
X1 = (SecT571FieldElement)p.XCoord;
ECFieldElement Y1 = p.YCoord;
ECFieldElement Y2 = L2;
ECFieldElement L = Y1.Add(Y2).Divide(X1);
X3 = (SecT571FieldElement)L.Square().Add(L).Add(X1).AddOne();
if (X3.IsZero)
{
return(new SecT571R1Point(curve, X3, SecT571R1Curve.SecT571R1_B_SQRT, IsCompressed));
}
ECFieldElement Y3 = L.Multiply(X1.Add(X3)).Add(X3).Add(Y1);
L3 = (SecT571FieldElement)Y3.Divide(X3).Add(X3);
Z3 = (SecT571FieldElement)curve.FromBigInteger(BigInteger.One);
}
else
{
SecT571Field.Square(B, B);
ulong[] APrecomp = SecT571Field.PrecompMultiplicand(A);
ulong[] AU1 = t1;
ulong[] AU2 = t2;
SecT571Field.MultiplyPrecomp(U1, APrecomp, AU1);
SecT571Field.MultiplyPrecomp(U2, APrecomp, AU2);
X3 = new SecT571FieldElement(t1);
SecT571Field.Multiply(AU1, AU2, X3.x);
if (X3.IsZero)
{
return(new SecT571R1Point(curve, X3, SecT571R1Curve.SecT571R1_B_SQRT, IsCompressed));
}
Z3 = new SecT571FieldElement(t3);
SecT571Field.MultiplyPrecomp(B, APrecomp, Z3.x);
if (Z2Precomp != null)
{
SecT571Field.MultiplyPrecomp(Z3.x, Z2Precomp, Z3.x);
}
ulong[] tt = Nat576.CreateExt64();
SecT571Field.Add(AU2, B, t4);
SecT571Field.SquareAddToExt(t4, tt);
SecT571Field.Add(L1.x, Z1.x, t4);
SecT571Field.MultiplyAddToExt(t4, Z3.x, tt);
L3 = new SecT571FieldElement(t4);
SecT571Field.Reduce(tt, L3.x);
if (Z1Precomp != null)
{
SecT571Field.MultiplyPrecomp(Z3.x, Z1Precomp, Z3.x);
}
}
return(new SecT571R1Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed));
}
public static void Square(ulong[] x, ulong[] z)
{
ulong[] array = Nat576.CreateExt64();
SecT571Field.ImplSquare(x, array);
SecT571Field.Reduce(array, z);
}
