public override ECFieldElement Divide(ECFieldElement b)
{
uint[] z = Nat224.Create();
Mod.Invert(SecP224K1Field.P, ((SecP224K1FieldElement)b).x, z);
SecP224K1Field.Multiply(z, x, z);
return(new SecP224K1FieldElement(z));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = Curve;
SecP224K1FieldElement secP224K1FieldElement = (SecP224K1FieldElement)base.RawYCoord;
if (secP224K1FieldElement.IsZero)
{
return(curve.Infinity);
}
SecP224K1FieldElement secP224K1FieldElement2 = (SecP224K1FieldElement)base.RawXCoord;
SecP224K1FieldElement secP224K1FieldElement3 = (SecP224K1FieldElement)base.RawZCoords[0];
uint[] array = Nat224.Create();
SecP224K1Field.Square(secP224K1FieldElement.x, array);
uint[] array2 = Nat224.Create();
SecP224K1Field.Square(array, array2);
uint[] array3 = Nat224.Create();
SecP224K1Field.Square(secP224K1FieldElement2.x, array3);
uint x = Nat224.AddBothTo(array3, array3, array3);
SecP224K1Field.Reduce32(x, array3);
uint[] array4 = array;
SecP224K1Field.Multiply(array, secP224K1FieldElement2.x, array4);
x = Nat.ShiftUpBits(7, array4, 2, 0u);
SecP224K1Field.Reduce32(x, array4);
uint[] array5 = Nat224.Create();
x = Nat.ShiftUpBits(7, array2, 3, 0u, array5);
SecP224K1Field.Reduce32(x, array5);
SecP224K1FieldElement secP224K1FieldElement4 = new SecP224K1FieldElement(array2);
SecP224K1Field.Square(array3, secP224K1FieldElement4.x);
SecP224K1Field.Subtract(secP224K1FieldElement4.x, array4, secP224K1FieldElement4.x);
SecP224K1Field.Subtract(secP224K1FieldElement4.x, array4, secP224K1FieldElement4.x);
SecP224K1FieldElement secP224K1FieldElement5 = new SecP224K1FieldElement(array4);
SecP224K1Field.Subtract(array4, secP224K1FieldElement4.x, secP224K1FieldElement5.x);
SecP224K1Field.Multiply(secP224K1FieldElement5.x, array3, secP224K1FieldElement5.x);
SecP224K1Field.Subtract(secP224K1FieldElement5.x, array5, secP224K1FieldElement5.x);
SecP224K1FieldElement secP224K1FieldElement6 = new SecP224K1FieldElement(array3);
SecP224K1Field.Twice(secP224K1FieldElement.x, secP224K1FieldElement6.x);
if (!secP224K1FieldElement3.IsOne)
{
SecP224K1Field.Multiply(secP224K1FieldElement6.x, secP224K1FieldElement3.x, secP224K1FieldElement6.x);
}
return(new SecP224K1Point(curve, secP224K1FieldElement4, secP224K1FieldElement5, new ECFieldElement[1]
{
secP224K1FieldElement6
}, base.IsCompressed));
}
public override ECPoint Add(ECPoint b)
{
if (base.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
if (this == b)
{
return(Twice());
}
ECCurve curve = Curve;
SecP224K1FieldElement secP224K1FieldElement = (SecP224K1FieldElement)base.RawXCoord;
SecP224K1FieldElement secP224K1FieldElement2 = (SecP224K1FieldElement)base.RawYCoord;
SecP224K1FieldElement secP224K1FieldElement3 = (SecP224K1FieldElement)b.RawXCoord;
SecP224K1FieldElement secP224K1FieldElement4 = (SecP224K1FieldElement)b.RawYCoord;
SecP224K1FieldElement secP224K1FieldElement5 = (SecP224K1FieldElement)base.RawZCoords[0];
SecP224K1FieldElement secP224K1FieldElement6 = (SecP224K1FieldElement)b.RawZCoords[0];
uint[] array = Nat224.CreateExt();
uint[] array2 = Nat224.Create();
uint[] array3 = Nat224.Create();
uint[] array4 = Nat224.Create();
bool isOne = secP224K1FieldElement5.IsOne;
uint[] array5;
uint[] array6;
if (isOne)
{
array5 = secP224K1FieldElement3.x;
array6 = secP224K1FieldElement4.x;
}
else
{
array6 = array3;
SecP224K1Field.Square(secP224K1FieldElement5.x, array6);
array5 = array2;
SecP224K1Field.Multiply(array6, secP224K1FieldElement3.x, array5);
SecP224K1Field.Multiply(array6, secP224K1FieldElement5.x, array6);
SecP224K1Field.Multiply(array6, secP224K1FieldElement4.x, array6);
}
bool isOne2 = secP224K1FieldElement6.IsOne;
uint[] array7;
uint[] array8;
if (isOne2)
{
array7 = secP224K1FieldElement.x;
array8 = secP224K1FieldElement2.x;
}
else
{
array8 = array4;
SecP224K1Field.Square(secP224K1FieldElement6.x, array8);
array7 = array;
SecP224K1Field.Multiply(array8, secP224K1FieldElement.x, array7);
SecP224K1Field.Multiply(array8, secP224K1FieldElement6.x, array8);
SecP224K1Field.Multiply(array8, secP224K1FieldElement2.x, array8);
}
uint[] array9 = Nat224.Create();
SecP224K1Field.Subtract(array7, array5, array9);
uint[] array10 = array2;
SecP224K1Field.Subtract(array8, array6, array10);
if (Nat224.IsZero(array9))
{
if (Nat224.IsZero(array10))
{
return(Twice());
}
return(curve.Infinity);
}
uint[] array11 = array3;
SecP224K1Field.Square(array9, array11);
uint[] array12 = Nat224.Create();
SecP224K1Field.Multiply(array11, array9, array12);
uint[] array13 = array3;
SecP224K1Field.Multiply(array11, array7, array13);
SecP224K1Field.Negate(array12, array12);
Nat224.Mul(array8, array12, array);
uint x = Nat224.AddBothTo(array13, array13, array12);
SecP224K1Field.Reduce32(x, array12);
SecP224K1FieldElement secP224K1FieldElement7 = new SecP224K1FieldElement(array4);
SecP224K1Field.Square(array10, secP224K1FieldElement7.x);
SecP224K1Field.Subtract(secP224K1FieldElement7.x, array12, secP224K1FieldElement7.x);
SecP224K1FieldElement secP224K1FieldElement8 = new SecP224K1FieldElement(array12);
SecP224K1Field.Subtract(array13, secP224K1FieldElement7.x, secP224K1FieldElement8.x);
SecP224K1Field.MultiplyAddToExt(secP224K1FieldElement8.x, array10, array);
SecP224K1Field.Reduce(array, secP224K1FieldElement8.x);
SecP224K1FieldElement secP224K1FieldElement9 = new SecP224K1FieldElement(array9);
if (!isOne)
{
SecP224K1Field.Multiply(secP224K1FieldElement9.x, secP224K1FieldElement5.x, secP224K1FieldElement9.x);
}
if (!isOne2)
{
SecP224K1Field.Multiply(secP224K1FieldElement9.x, secP224K1FieldElement6.x, secP224K1FieldElement9.x);
}
ECFieldElement[] zs = new ECFieldElement[1]
{
secP224K1FieldElement9
};
return(new SecP224K1Point(curve, secP224K1FieldElement7, secP224K1FieldElement8, zs, base.IsCompressed));
}
public override ECFieldElement Multiply(ECFieldElement b)
{
uint[] z = Nat224.Create();
SecP224K1Field.Multiply(x, ((SecP224K1FieldElement)b).x, z);
return(new SecP224K1FieldElement(z));
}
public override ECFieldElement Sqrt()
{
uint[] y = x;
if (Nat224.IsZero(y) || Nat224.IsOne(y))
{
return(this);
}
uint[] array = Nat224.Create();
SecP224K1Field.Square(y, array);
SecP224K1Field.Multiply(array, y, array);
uint[] array2 = array;
SecP224K1Field.Square(array, array2);
SecP224K1Field.Multiply(array2, y, array2);
uint[] array3 = Nat224.Create();
SecP224K1Field.Square(array2, array3);
SecP224K1Field.Multiply(array3, y, array3);
uint[] array4 = Nat224.Create();
SecP224K1Field.SquareN(array3, 4, array4);
SecP224K1Field.Multiply(array4, array3, array4);
uint[] array5 = Nat224.Create();
SecP224K1Field.SquareN(array4, 3, array5);
SecP224K1Field.Multiply(array5, array2, array5);
uint[] array6 = array5;
SecP224K1Field.SquareN(array5, 8, array6);
SecP224K1Field.Multiply(array6, array4, array6);
uint[] array7 = array4;
SecP224K1Field.SquareN(array6, 4, array7);
SecP224K1Field.Multiply(array7, array3, array7);
uint[] array8 = array3;
SecP224K1Field.SquareN(array7, 19, array8);
SecP224K1Field.Multiply(array8, array6, array8);
uint[] array9 = Nat224.Create();
SecP224K1Field.SquareN(array8, 42, array9);
SecP224K1Field.Multiply(array9, array8, array9);
uint[] z = array8;
SecP224K1Field.SquareN(array9, 23, z);
SecP224K1Field.Multiply(z, array7, z);
uint[] array10 = array7;
SecP224K1Field.SquareN(z, 84, array10);
SecP224K1Field.Multiply(array10, array9, array10);
uint[] z2 = array10;
SecP224K1Field.SquareN(z2, 20, z2);
SecP224K1Field.Multiply(z2, array6, z2);
SecP224K1Field.SquareN(z2, 3, z2);
SecP224K1Field.Multiply(z2, y, z2);
SecP224K1Field.SquareN(z2, 2, z2);
SecP224K1Field.Multiply(z2, y, z2);
SecP224K1Field.SquareN(z2, 4, z2);
SecP224K1Field.Multiply(z2, array2, z2);
SecP224K1Field.Square(z2, z2);
uint[] array11 = array9;
SecP224K1Field.Square(z2, array11);
if (Nat224.Eq(y, array11))
{
return(new SecP224K1FieldElement(z2));
}
SecP224K1Field.Multiply(z2, PRECOMP_POW2, z2);
SecP224K1Field.Square(z2, array11);
if (Nat224.Eq(y, array11))
{
return(new SecP224K1FieldElement(z2));
}
return(null);
}