/**
* return a sqrt root - the routine verifies that the calculation returns the right value - if
* none exists it returns null.
*/
public override ECFieldElement Sqrt()
{
uint[] c = this.x;
if (Nat224.IsZero(c) || Nat224.IsOne(c))
{
return(this);
}
uint[] nc = Nat224.Create();
SecP224R1Field.Negate(c, nc);
uint[] r = Mod.Random(SecP224R1Field.P);
uint[] t = Nat224.Create();
if (!IsSquare(c))
{
return(null);
}
while (!TrySqrt(nc, r, t))
{
SecP224R1Field.AddOne(r, r);
}
SecP224R1Field.Square(t, r);
return(Nat224.Eq(c, r) ? new SecP224R1FieldElement(t) : null);
}
private static bool TrySqrt(uint[] nc, uint[] r, uint[] t)
{
uint[] d1 = Nat224.Create();
Nat224.Copy(r, d1);
uint[] e1 = Nat224.Create();
e1[0] = 1;
uint[] f1 = Nat224.Create();
RP(nc, d1, e1, f1, t);
uint[] d0 = Nat224.Create();
uint[] e0 = Nat224.Create();
for (int k = 1; k < 96; ++k)
{
Nat224.Copy(d1, d0);
Nat224.Copy(e1, e0);
RS(d1, e1, f1, t);
if (Nat224.IsZero(d1))
{
Mod.Invert(SecP224R1Field.P, e0, t);
SecP224R1Field.Multiply(t, d0, t);
return(true);
}
}
return(false);
}
public override ECFieldElement Sqrt()
{
uint[] array = this.x;
if (Nat224.IsZero(array) || Nat224.IsOne(array))
{
return(this);
}
uint[] array2 = Nat224.Create();
SecP224R1Field.Negate(array, array2);
uint[] array3 = Mod.Random(SecP224R1Field.P);
uint[] t = Nat224.Create();
if (!SecP224R1FieldElement.IsSquare(array))
{
return(null);
}
while (!SecP224R1FieldElement.TrySqrt(array2, array3, t))
{
SecP224R1Field.AddOne(array3, array3);
}
SecP224R1Field.Square(t, array3);
if (!Nat224.Eq(array, array3))
{
return(null);
}
return(new SecP224R1FieldElement(t));
}
public static void Negate(uint[] x, uint[] z)
{
if (Nat224.IsZero(x))
{
Nat224.Zero(z);
return;
}
Nat224.Sub(SecP224R1Field.P, x, z);
}
public static void Negate(uint[] x, uint[] z)
{
if (Nat224.IsZero(x))
{
Nat224.Zero(z);
}
else
{
Nat224.Sub(P, x, z);
}
}
/**
* return a sqrt root - the routine verifies that the calculation returns the right value - if
* none exists it returns null.
*/
public override ECFieldElement Sqrt()
{
uint[] c = this.x;
if (Nat224.IsZero(c) || Nat224.IsOne(c))
{
return(this);
}
uint[] nc = Nat224.Create();
SecP224R1Field.Negate(c, nc);
uint[] r = Mod.Random(SecP224R1Field.P);
for (;;)
{
uint[] d1 = Nat224.Create();
Nat224.Copy(r, d1);
uint[] e1 = Nat224.Create();
e1[0] = 1;
uint[] f1 = Nat224.Create();
RP(nc, d1, e1, f1);
uint[] d0 = Nat224.Create();
uint[] e0 = Nat224.Create();
for (int k = 1; k < 96; ++k)
{
Nat224.Copy(d1, d0);
Nat224.Copy(e1, e0);
RS(d1, e1, f1);
if (Nat224.IsZero(d1))
{
Mod.Invert(SecP224R1Field.P, e0, f1);
SecP224R1Field.Multiply(f1, d0, f1);
SecP224R1Field.Square(f1, d1);
return(Nat224.Eq(c, d1) ? new SecP224R1FieldElement(f1) : null);
}
}
// Avoid any possible infinite loop due to a bad random number generator
SecP224R1Field.AddOne(r, r);
}
}
public override ECFieldElement Sqrt()
{
uint[] x = this.x;
if (Nat224.IsZero(x) || Nat224.IsOne(x))
{
return(this);
}
uint[] z = Nat224.Create();
SecP224R1Field.Negate(x, z);
uint[] r = Mod.Random(SecP224R1Field.P);
uint[] t = Nat224.Create();
if (!IsSquare(x))
{
return(null);
}
while (!TrySqrt(z, r, t))
{
SecP224R1Field.AddOne(r, r);
}
SecP224R1Field.Square(t, r);
return(!Nat224.Eq(x, r) ? null : new SecP224R1FieldElement(t));
}
private static bool TrySqrt(uint[] nc, uint[] r, uint[] t)
{
uint[] z = Nat224.Create();
Nat224.Copy(r, z);
uint[] numArray2 = Nat224.Create();
numArray2[0] = 1;
uint[] numArray3 = Nat224.Create();
RP(nc, z, numArray2, numArray3, t);
uint[] numArray4 = Nat224.Create();
uint[] numArray5 = Nat224.Create();
for (int i = 1; i < 0x60; i++)
{
Nat224.Copy(z, numArray4);
Nat224.Copy(numArray2, numArray5);
RS(z, numArray2, numArray3, t);
if (Nat224.IsZero(z))
{
Mod.Invert(SecP224R1Field.P, numArray5, t);
SecP224R1Field.Multiply(t, numArray4, t);
return(true);
}
}
return(false);
}
private static bool TrySqrt(uint[] nc, uint[] r, uint[] t)
{
uint[] array = Nat224.Create();
Nat224.Copy(r, array);
uint[] array2 = Nat224.Create();
array2[0] = 1u;
uint[] array3 = Nat224.Create();
SecP224R1FieldElement.RP(nc, array, array2, array3, t);
uint[] array4 = Nat224.Create();
uint[] z = Nat224.Create();
for (int i = 1; i < 96; i++)
{
Nat224.Copy(array, array4);
Nat224.Copy(array2, z);
SecP224R1FieldElement.RS(array, array2, array3, t);
if (Nat224.IsZero(array))
{
Mod.Invert(SecP224R1Field.P, z, t);
SecP224R1Field.Multiply(t, array4, t);
return(true);
}
}
return(false);
}
/**
* return a sqrt root - the routine verifies that the calculation returns the right value - if
* none exists it returns null.
*/
public override ECFieldElement Sqrt()
{
/*
* Q == 8m + 5, so we use Pocklington's method for this case.
*
* First, raise this element to the exponent 2^221 - 2^29 - 2^9 - 2^8 - 2^6 - 2^4 - 2^1 (i.e. m + 1)
*
* Breaking up the exponent's binary representation into "repunits", we get:
* { 191 1s } { 1 0s } { 19 1s } { 2 0s } { 1 1s } { 1 0s } { 1 1s } { 1 0s } { 3 1s } { 1 0s }
*
* Therefore we need an addition chain containing 1, 3, 19, 191 (the lengths of the repunits)
* We use: [1], 2, [3], 4, 8, 11, [19], 23, 42, 84, 107, [191]
*/
uint[] x1 = this.x;
if (Nat224.IsZero(x1) || Nat224.IsOne(x1))
{
return(this);
}
uint[] x2 = Nat224.Create();
SecP224K1Field.Square(x1, x2);
SecP224K1Field.Multiply(x2, x1, x2);
uint[] x3 = x2;
SecP224K1Field.Square(x2, x3);
SecP224K1Field.Multiply(x3, x1, x3);
uint[] x4 = Nat224.Create();
SecP224K1Field.Square(x3, x4);
SecP224K1Field.Multiply(x4, x1, x4);
uint[] x8 = Nat224.Create();
SecP224K1Field.SquareN(x4, 4, x8);
SecP224K1Field.Multiply(x8, x4, x8);
uint[] x11 = Nat224.Create();
SecP224K1Field.SquareN(x8, 3, x11);
SecP224K1Field.Multiply(x11, x3, x11);
uint[] x19 = x11;
SecP224K1Field.SquareN(x11, 8, x19);
SecP224K1Field.Multiply(x19, x8, x19);
uint[] x23 = x8;
SecP224K1Field.SquareN(x19, 4, x23);
SecP224K1Field.Multiply(x23, x4, x23);
uint[] x42 = x4;
SecP224K1Field.SquareN(x23, 19, x42);
SecP224K1Field.Multiply(x42, x19, x42);
uint[] x84 = Nat224.Create();
SecP224K1Field.SquareN(x42, 42, x84);
SecP224K1Field.Multiply(x84, x42, x84);
uint[] x107 = x42;
SecP224K1Field.SquareN(x84, 23, x107);
SecP224K1Field.Multiply(x107, x23, x107);
uint[] x191 = x23;
SecP224K1Field.SquareN(x107, 84, x191);
SecP224K1Field.Multiply(x191, x84, x191);
uint[] t1 = x191;
SecP224K1Field.SquareN(t1, 20, t1);
SecP224K1Field.Multiply(t1, x19, t1);
SecP224K1Field.SquareN(t1, 3, t1);
SecP224K1Field.Multiply(t1, x1, t1);
SecP224K1Field.SquareN(t1, 2, t1);
SecP224K1Field.Multiply(t1, x1, t1);
SecP224K1Field.SquareN(t1, 4, t1);
SecP224K1Field.Multiply(t1, x3, t1);
SecP224K1Field.Square(t1, t1);
uint[] t2 = x84;
SecP224K1Field.Square(t1, t2);
if (Nat224.Eq(x1, t2))
{
return(new SecP224K1FieldElement(t1));
}
/*
* If the first guess is incorrect, we multiply by a precomputed power of 2 to get the second guess,
* which is ((4x)^(m + 1))/2 mod Q
*/
SecP224K1Field.Multiply(t1, PRECOMP_POW2, t1);
SecP224K1Field.Square(t1, t2);
if (Nat224.Eq(x1, t2))
{
return(new SecP224K1FieldElement(t1));
}
return(null);
}
public override ECPoint Add(ECPoint b)
{
if (this.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
if (this == b)
{
return(Twice());
}
ECCurve curve = this.Curve;
SecP224K1FieldElement X1 = (SecP224K1FieldElement)this.RawXCoord, Y1 = (SecP224K1FieldElement)this.RawYCoord;
SecP224K1FieldElement X2 = (SecP224K1FieldElement)b.RawXCoord, Y2 = (SecP224K1FieldElement)b.RawYCoord;
SecP224K1FieldElement Z1 = (SecP224K1FieldElement)this.RawZCoords[0];
SecP224K1FieldElement Z2 = (SecP224K1FieldElement)b.RawZCoords[0];
uint c;
uint[] tt1 = Nat224.CreateExt();
uint[] t2 = Nat224.Create();
uint[] t3 = Nat224.Create();
uint[] t4 = Nat224.Create();
bool Z1IsOne = Z1.IsOne;
uint[] U2, S2;
if (Z1IsOne)
{
U2 = X2.x;
S2 = Y2.x;
}
else
{
S2 = t3;
SecP224K1Field.Square(Z1.x, S2);
U2 = t2;
SecP224K1Field.Multiply(S2, X2.x, U2);
SecP224K1Field.Multiply(S2, Z1.x, S2);
SecP224K1Field.Multiply(S2, Y2.x, S2);
}
bool Z2IsOne = Z2.IsOne;
uint[] U1, S1;
if (Z2IsOne)
{
U1 = X1.x;
S1 = Y1.x;
}
else
{
S1 = t4;
SecP224K1Field.Square(Z2.x, S1);
U1 = tt1;
SecP224K1Field.Multiply(S1, X1.x, U1);
SecP224K1Field.Multiply(S1, Z2.x, S1);
SecP224K1Field.Multiply(S1, Y1.x, S1);
}
uint[] H = Nat224.Create();
SecP224K1Field.Subtract(U1, U2, H);
uint[] R = t2;
SecP224K1Field.Subtract(S1, S2, R);
// Check if b == this or b == -this
if (Nat224.IsZero(H))
{
if (Nat224.IsZero(R))
{
// this == b, i.e. this must be doubled
return(this.Twice());
}
// this == -b, i.e. the result is the point at infinity
return(curve.Infinity);
}
uint[] HSquared = t3;
SecP224K1Field.Square(H, HSquared);
uint[] G = Nat224.Create();
SecP224K1Field.Multiply(HSquared, H, G);
uint[] V = t3;
SecP224K1Field.Multiply(HSquared, U1, V);
SecP224K1Field.Negate(G, G);
Nat224.Mul(S1, G, tt1);
c = Nat224.AddBothTo(V, V, G);
SecP224K1Field.Reduce32(c, G);
SecP224K1FieldElement X3 = new SecP224K1FieldElement(t4);
SecP224K1Field.Square(R, X3.x);
SecP224K1Field.Subtract(X3.x, G, X3.x);
SecP224K1FieldElement Y3 = new SecP224K1FieldElement(G);
SecP224K1Field.Subtract(V, X3.x, Y3.x);
SecP224K1Field.MultiplyAddToExt(Y3.x, R, tt1);
SecP224K1Field.Reduce(tt1, Y3.x);
SecP224K1FieldElement Z3 = new SecP224K1FieldElement(H);
if (!Z1IsOne)
{
SecP224K1Field.Multiply(Z3.x, Z1.x, Z3.x);
}
if (!Z2IsOne)
{
SecP224K1Field.Multiply(Z3.x, Z2.x, Z3.x);
}
ECFieldElement[] zs = new ECFieldElement[] { Z3 };
return(new SecP224K1Point(curve, X3, Y3, zs, IsCompressed));
}
public override ECPoint Add(ECPoint b)
{
uint[] numArray5;
uint[] numArray6;
uint[] numArray7;
uint[] numArray8;
if (base.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
if (this == b)
{
return(this.Twice());
}
ECCurve curve = this.Curve;
SecP224R1FieldElement rawXCoord = (SecP224R1FieldElement)base.RawXCoord;
SecP224R1FieldElement rawYCoord = (SecP224R1FieldElement)base.RawYCoord;
SecP224R1FieldElement element3 = (SecP224R1FieldElement)b.RawXCoord;
SecP224R1FieldElement element4 = (SecP224R1FieldElement)b.RawYCoord;
SecP224R1FieldElement element5 = (SecP224R1FieldElement)base.RawZCoords[0];
SecP224R1FieldElement element6 = (SecP224R1FieldElement)b.RawZCoords[0];
uint[] zz = Nat224.CreateExt();
uint[] numArray2 = Nat224.Create();
uint[] numArray3 = Nat224.Create();
uint[] x = Nat224.Create();
bool isOne = element5.IsOne;
if (isOne)
{
numArray5 = element3.x;
numArray6 = element4.x;
}
else
{
numArray6 = numArray3;
SecP224R1Field.Square(element5.x, numArray6);
numArray5 = numArray2;
SecP224R1Field.Multiply(numArray6, element3.x, numArray5);
SecP224R1Field.Multiply(numArray6, element5.x, numArray6);
SecP224R1Field.Multiply(numArray6, element4.x, numArray6);
}
bool flag2 = element6.IsOne;
if (flag2)
{
numArray7 = rawXCoord.x;
numArray8 = rawYCoord.x;
}
else
{
numArray8 = x;
SecP224R1Field.Square(element6.x, numArray8);
numArray7 = zz;
SecP224R1Field.Multiply(numArray8, rawXCoord.x, numArray7);
SecP224R1Field.Multiply(numArray8, element6.x, numArray8);
SecP224R1Field.Multiply(numArray8, rawYCoord.x, numArray8);
}
uint[] z = Nat224.Create();
SecP224R1Field.Subtract(numArray7, numArray5, z);
uint[] numArray10 = numArray2;
SecP224R1Field.Subtract(numArray8, numArray6, numArray10);
if (Nat224.IsZero(z))
{
if (Nat224.IsZero(numArray10))
{
return(this.Twice());
}
return(curve.Infinity);
}
uint[] numArray11 = numArray3;
SecP224R1Field.Square(z, numArray11);
uint[] numArray12 = Nat224.Create();
SecP224R1Field.Multiply(numArray11, z, numArray12);
uint[] numArray13 = numArray3;
SecP224R1Field.Multiply(numArray11, numArray7, numArray13);
SecP224R1Field.Negate(numArray12, numArray12);
Nat224.Mul(numArray8, numArray12, zz);
SecP224R1Field.Reduce32(Nat224.AddBothTo(numArray13, numArray13, numArray12), numArray12);
SecP224R1FieldElement element7 = new SecP224R1FieldElement(x);
SecP224R1Field.Square(numArray10, element7.x);
SecP224R1Field.Subtract(element7.x, numArray12, element7.x);
SecP224R1FieldElement y = new SecP224R1FieldElement(numArray12);
SecP224R1Field.Subtract(numArray13, element7.x, y.x);
SecP224R1Field.MultiplyAddToExt(y.x, numArray10, zz);
SecP224R1Field.Reduce(zz, y.x);
SecP224R1FieldElement element9 = new SecP224R1FieldElement(z);
if (!isOne)
{
SecP224R1Field.Multiply(element9.x, element5.x, element9.x);
}
if (!flag2)
{
SecP224R1Field.Multiply(element9.x, element6.x, element9.x);
}
ECFieldElement[] zs = new ECFieldElement[] { element9 };
return(new SecP224R1Point(curve, element7, y, zs, 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;
SecP224R1FieldElement secP224R1FieldElement = (SecP224R1FieldElement)base.RawXCoord;
SecP224R1FieldElement secP224R1FieldElement2 = (SecP224R1FieldElement)base.RawYCoord;
SecP224R1FieldElement secP224R1FieldElement3 = (SecP224R1FieldElement)b.RawXCoord;
SecP224R1FieldElement secP224R1FieldElement4 = (SecP224R1FieldElement)b.RawYCoord;
SecP224R1FieldElement secP224R1FieldElement5 = (SecP224R1FieldElement)base.RawZCoords[0];
SecP224R1FieldElement secP224R1FieldElement6 = (SecP224R1FieldElement)b.RawZCoords[0];
uint[] array = Nat224.CreateExt();
uint[] array2 = Nat224.Create();
uint[] array3 = Nat224.Create();
uint[] array4 = Nat224.Create();
bool isOne = secP224R1FieldElement5.IsOne;
uint[] array5;
uint[] array6;
if (isOne)
{
array5 = secP224R1FieldElement3.x;
array6 = secP224R1FieldElement4.x;
}
else
{
array6 = array3;
SecP224R1Field.Square(secP224R1FieldElement5.x, array6);
array5 = array2;
SecP224R1Field.Multiply(array6, secP224R1FieldElement3.x, array5);
SecP224R1Field.Multiply(array6, secP224R1FieldElement5.x, array6);
SecP224R1Field.Multiply(array6, secP224R1FieldElement4.x, array6);
}
bool isOne2 = secP224R1FieldElement6.IsOne;
uint[] array7;
uint[] array8;
if (isOne2)
{
array7 = secP224R1FieldElement.x;
array8 = secP224R1FieldElement2.x;
}
else
{
array8 = array4;
SecP224R1Field.Square(secP224R1FieldElement6.x, array8);
array7 = array;
SecP224R1Field.Multiply(array8, secP224R1FieldElement.x, array7);
SecP224R1Field.Multiply(array8, secP224R1FieldElement6.x, array8);
SecP224R1Field.Multiply(array8, secP224R1FieldElement2.x, array8);
}
uint[] array9 = Nat224.Create();
SecP224R1Field.Subtract(array7, array5, array9);
uint[] array10 = array2;
SecP224R1Field.Subtract(array8, array6, array10);
if (Nat224.IsZero(array9))
{
if (Nat224.IsZero(array10))
{
return(Twice());
}
return(curve.Infinity);
}
uint[] array11 = array3;
SecP224R1Field.Square(array9, array11);
uint[] array12 = Nat224.Create();
SecP224R1Field.Multiply(array11, array9, array12);
uint[] array13 = array3;
SecP224R1Field.Multiply(array11, array7, array13);
SecP224R1Field.Negate(array12, array12);
Nat224.Mul(array8, array12, array);
uint x = Nat224.AddBothTo(array13, array13, array12);
SecP224R1Field.Reduce32(x, array12);
SecP224R1FieldElement secP224R1FieldElement7 = new SecP224R1FieldElement(array4);
SecP224R1Field.Square(array10, secP224R1FieldElement7.x);
SecP224R1Field.Subtract(secP224R1FieldElement7.x, array12, secP224R1FieldElement7.x);
SecP224R1FieldElement secP224R1FieldElement8 = new SecP224R1FieldElement(array12);
SecP224R1Field.Subtract(array13, secP224R1FieldElement7.x, secP224R1FieldElement8.x);
SecP224R1Field.MultiplyAddToExt(secP224R1FieldElement8.x, array10, array);
SecP224R1Field.Reduce(array, secP224R1FieldElement8.x);
SecP224R1FieldElement secP224R1FieldElement9 = new SecP224R1FieldElement(array9);
if (!isOne)
{
SecP224R1Field.Multiply(secP224R1FieldElement9.x, secP224R1FieldElement5.x, secP224R1FieldElement9.x);
}
if (!isOne2)
{
SecP224R1Field.Multiply(secP224R1FieldElement9.x, secP224R1FieldElement6.x, secP224R1FieldElement9.x);
}
ECFieldElement[] zs = new ECFieldElement[1] {
secP224R1FieldElement9
};
return(new SecP224R1Point(curve, secP224R1FieldElement7, secP224R1FieldElement8, zs, base.IsCompressed));
}
public override ECFieldElement Sqrt()
{
uint[] y = this.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, SecP224K1FieldElement.PRECOMP_POW2, z2);
SecP224K1Field.Square(z2, array11);
if (Nat224.Eq(y, array11))
{
return(new SecP224K1FieldElement(z2));
}
return(null);
}
public override ECFieldElement Sqrt()
{
uint[] x = this.x;
if (Nat224.IsZero(x) || Nat224.IsOne(x))
{
return(this);
}
uint[] z = Nat224.Create();
SecP224K1Field.Square(x, z);
SecP224K1Field.Multiply(z, x, z);
uint[] numArray3 = z;
SecP224K1Field.Square(z, numArray3);
SecP224K1Field.Multiply(numArray3, x, numArray3);
uint[] numArray4 = Nat224.Create();
SecP224K1Field.Square(numArray3, numArray4);
SecP224K1Field.Multiply(numArray4, x, numArray4);
uint[] numArray5 = Nat224.Create();
SecP224K1Field.SquareN(numArray4, 4, numArray5);
SecP224K1Field.Multiply(numArray5, numArray4, numArray5);
uint[] numArray6 = Nat224.Create();
SecP224K1Field.SquareN(numArray5, 3, numArray6);
SecP224K1Field.Multiply(numArray6, numArray3, numArray6);
uint[] numArray7 = numArray6;
SecP224K1Field.SquareN(numArray6, 8, numArray7);
SecP224K1Field.Multiply(numArray7, numArray5, numArray7);
uint[] numArray8 = numArray5;
SecP224K1Field.SquareN(numArray7, 4, numArray8);
SecP224K1Field.Multiply(numArray8, numArray4, numArray8);
uint[] numArray9 = numArray4;
SecP224K1Field.SquareN(numArray8, 0x13, numArray9);
SecP224K1Field.Multiply(numArray9, numArray7, numArray9);
uint[] numArray10 = Nat224.Create();
SecP224K1Field.SquareN(numArray9, 0x2a, numArray10);
SecP224K1Field.Multiply(numArray10, numArray9, numArray10);
uint[] numArray11 = numArray9;
SecP224K1Field.SquareN(numArray10, 0x17, numArray11);
SecP224K1Field.Multiply(numArray11, numArray8, numArray11);
uint[] numArray12 = numArray8;
SecP224K1Field.SquareN(numArray11, 0x54, numArray12);
SecP224K1Field.Multiply(numArray12, numArray10, numArray12);
uint[] numArray13 = numArray12;
SecP224K1Field.SquareN(numArray13, 20, numArray13);
SecP224K1Field.Multiply(numArray13, numArray7, numArray13);
SecP224K1Field.SquareN(numArray13, 3, numArray13);
SecP224K1Field.Multiply(numArray13, x, numArray13);
SecP224K1Field.SquareN(numArray13, 2, numArray13);
SecP224K1Field.Multiply(numArray13, x, numArray13);
SecP224K1Field.SquareN(numArray13, 4, numArray13);
SecP224K1Field.Multiply(numArray13, numArray3, numArray13);
SecP224K1Field.Square(numArray13, numArray13);
uint[] numArray14 = numArray10;
SecP224K1Field.Square(numArray13, numArray14);
if (Nat224.Eq(x, numArray14))
{
return(new SecP224K1FieldElement(numArray13));
}
SecP224K1Field.Multiply(numArray13, PRECOMP_POW2, numArray13);
SecP224K1Field.Square(numArray13, numArray14);
if (Nat224.Eq(x, numArray14))
{
return(new SecP224K1FieldElement(numArray13));
}
return(null);
}
