public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecP224R1FieldElement rawYCoord = (SecP224R1FieldElement)base.RawYCoord;
if (rawYCoord.IsZero)
{
return(curve.Infinity);
}
SecP224R1FieldElement rawXCoord = (SecP224R1FieldElement)base.RawXCoord;
SecP224R1FieldElement element3 = (SecP224R1FieldElement)base.RawZCoords[0];
uint[] z = Nat224.Create();
uint[] numArray2 = Nat224.Create();
uint[] numArray3 = Nat224.Create();
SecP224R1Field.Square(rawYCoord.x, numArray3);
uint[] numArray4 = Nat224.Create();
SecP224R1Field.Square(numArray3, numArray4);
bool isOne = element3.IsOne;
uint[] x = element3.x;
if (!isOne)
{
x = numArray2;
SecP224R1Field.Square(element3.x, x);
}
SecP224R1Field.Subtract(rawXCoord.x, x, z);
uint[] numArray6 = numArray2;
SecP224R1Field.Add(rawXCoord.x, x, numArray6);
SecP224R1Field.Multiply(numArray6, z, numArray6);
SecP224R1Field.Reduce32(Nat224.AddBothTo(numArray6, numArray6, numArray6), numArray6);
uint[] numArray7 = numArray3;
SecP224R1Field.Multiply(numArray3, rawXCoord.x, numArray7);
SecP224R1Field.Reduce32(Nat.ShiftUpBits(7, numArray7, 2, 0), numArray7);
SecP224R1Field.Reduce32(Nat.ShiftUpBits(7, numArray4, 3, 0, z), z);
SecP224R1FieldElement element4 = new SecP224R1FieldElement(numArray4);
SecP224R1Field.Square(numArray6, element4.x);
SecP224R1Field.Subtract(element4.x, numArray7, element4.x);
SecP224R1Field.Subtract(element4.x, numArray7, element4.x);
SecP224R1FieldElement y = new SecP224R1FieldElement(numArray7);
SecP224R1Field.Subtract(numArray7, element4.x, y.x);
SecP224R1Field.Multiply(y.x, numArray6, y.x);
SecP224R1Field.Subtract(y.x, z, y.x);
SecP224R1FieldElement element6 = new SecP224R1FieldElement(numArray6);
SecP224R1Field.Twice(rawYCoord.x, element6.x);
if (!isOne)
{
SecP224R1Field.Multiply(element6.x, element3.x, element6.x);
}
return(new SecP224R1Point(curve, element4, y, new ECFieldElement[] { element6 }, base.IsCompressed));
}
private static void RS(uint[] d, uint[] e, uint[] f, uint[] t)
{
SecP224R1Field.Multiply(e, d, e);
SecP224R1Field.Twice(e, e);
SecP224R1Field.Square(d, t);
SecP224R1Field.Add(f, t, d);
SecP224R1Field.Multiply(f, t, f);
SecP224R1Field.Reduce32(Nat.ShiftUpBits(7, f, 2, 0), f);
}
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));
}
// B.3 pg 62
public override ECPoint Twice()
{
if (this.IsInfinity)
return this;
ECCurve curve = this.Curve;
SecP160R2FieldElement Y1 = (SecP160R2FieldElement)this.RawYCoord;
if (Y1.IsZero)
return curve.Infinity;
SecP160R2FieldElement X1 = (SecP160R2FieldElement)this.RawXCoord, Z1 = (SecP160R2FieldElement)this.RawZCoords[0];
uint c;
uint[] Y1Squared = Nat160.Create();
SecP160R2Field.Square(Y1.x, Y1Squared);
uint[] T = Nat160.Create();
SecP160R2Field.Square(Y1Squared, T);
uint[] M = Nat160.Create();
SecP160R2Field.Square(X1.x, M);
c = Nat160.AddBothTo(M, M, M);
SecP160R2Field.Reduce32(c, M);
uint[] S = Y1Squared;
SecP160R2Field.Multiply(Y1Squared, X1.x, S);
c = Nat.ShiftUpBits(5, S, 2, 0);
SecP160R2Field.Reduce32(c, S);
uint[] t1 = Nat160.Create();
c = Nat.ShiftUpBits(5, T, 3, 0, t1);
SecP160R2Field.Reduce32(c, t1);
SecP160R2FieldElement X3 = new SecP160R2FieldElement(T);
SecP160R2Field.Square(M, X3.x);
SecP160R2Field.Subtract(X3.x, S, X3.x);
SecP160R2Field.Subtract(X3.x, S, X3.x);
SecP160R2FieldElement Y3 = new SecP160R2FieldElement(S);
SecP160R2Field.Subtract(S, X3.x, Y3.x);
SecP160R2Field.Multiply(Y3.x, M, Y3.x);
SecP160R2Field.Subtract(Y3.x, t1, Y3.x);
SecP160R2FieldElement Z3 = new SecP160R2FieldElement(M);
SecP160R2Field.Twice(Y1.x, Z3.x);
if (!Z1.IsOne)
{
SecP160R2Field.Multiply(Z3.x, Z1.x, Z3.x);
}
return new SecP160K1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed);
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecP224K1FieldElement rawYCoord = (SecP224K1FieldElement)base.RawYCoord;
if (rawYCoord.IsZero)
{
return(curve.Infinity);
}
SecP224K1FieldElement rawXCoord = (SecP224K1FieldElement)base.RawXCoord;
SecP224K1FieldElement element3 = (SecP224K1FieldElement)base.RawZCoords[0];
uint[] z = Nat224.Create();
SecP224K1Field.Square(rawYCoord.x, z);
uint[] numArray2 = Nat224.Create();
SecP224K1Field.Square(z, numArray2);
uint[] numArray3 = Nat224.Create();
SecP224K1Field.Square(rawXCoord.x, numArray3);
SecP224K1Field.Reduce32(Nat224.AddBothTo(numArray3, numArray3, numArray3), numArray3);
uint[] numArray4 = z;
SecP224K1Field.Multiply(z, rawXCoord.x, numArray4);
SecP224K1Field.Reduce32(Nat.ShiftUpBits(7, numArray4, 2, 0), numArray4);
uint[] numArray5 = Nat224.Create();
SecP224K1Field.Reduce32(Nat.ShiftUpBits(7, numArray2, 3, 0, numArray5), numArray5);
SecP224K1FieldElement x = new SecP224K1FieldElement(numArray2);
SecP224K1Field.Square(numArray3, x.x);
SecP224K1Field.Subtract(x.x, numArray4, x.x);
SecP224K1Field.Subtract(x.x, numArray4, x.x);
SecP224K1FieldElement y = new SecP224K1FieldElement(numArray4);
SecP224K1Field.Subtract(numArray4, x.x, y.x);
SecP224K1Field.Multiply(y.x, numArray3, y.x);
SecP224K1Field.Subtract(y.x, numArray5, y.x);
SecP224K1FieldElement element6 = new SecP224K1FieldElement(numArray3);
SecP224K1Field.Twice(rawYCoord.x, element6.x);
if (!element3.IsOne)
{
SecP224K1Field.Multiply(element6.x, element3.x, element6.x);
}
return(new SecP224K1Point(curve, x, y, new ECFieldElement[] { element6 }, base.IsCompressed));
}
public override ECPoint Twice()
{
if (this.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecP224R1FieldElement Y1 = (SecP224R1FieldElement)this.RawYCoord;
if (Y1.IsZero)
{
return(curve.Infinity);
}
SecP224R1FieldElement X1 = (SecP224R1FieldElement)this.RawXCoord, Z1 = (SecP224R1FieldElement)this.RawZCoords[0];
uint c;
uint[] t1 = Nat224.Create();
uint[] t2 = Nat224.Create();
uint[] Y1Squared = Nat224.Create();
SecP224R1Field.Square(Y1.x, Y1Squared);
uint[] T = Nat224.Create();
SecP224R1Field.Square(Y1Squared, T);
bool Z1IsOne = Z1.IsOne;
uint[] Z1Squared = Z1.x;
if (!Z1IsOne)
{
Z1Squared = t2;
SecP224R1Field.Square(Z1.x, Z1Squared);
}
SecP224R1Field.Subtract(X1.x, Z1Squared, t1);
uint[] M = t2;
SecP224R1Field.Add(X1.x, Z1Squared, M);
SecP224R1Field.Multiply(M, t1, M);
c = Nat224.AddBothTo(M, M, M);
SecP224R1Field.Reduce32(c, M);
uint[] S = Y1Squared;
SecP224R1Field.Multiply(Y1Squared, X1.x, S);
c = Nat.ShiftUpBits(7, S, 2, 0);
SecP224R1Field.Reduce32(c, S);
c = Nat.ShiftUpBits(7, T, 3, 0, t1);
SecP224R1Field.Reduce32(c, t1);
SecP224R1FieldElement X3 = new SecP224R1FieldElement(T);
SecP224R1Field.Square(M, X3.x);
SecP224R1Field.Subtract(X3.x, S, X3.x);
SecP224R1Field.Subtract(X3.x, S, X3.x);
SecP224R1FieldElement Y3 = new SecP224R1FieldElement(S);
SecP224R1Field.Subtract(S, X3.x, Y3.x);
SecP224R1Field.Multiply(Y3.x, M, Y3.x);
SecP224R1Field.Subtract(Y3.x, t1, Y3.x);
SecP224R1FieldElement Z3 = new SecP224R1FieldElement(M);
SecP224R1Field.Twice(Y1.x, Z3.x);
if (!Z1IsOne)
{
SecP224R1Field.Multiply(Z3.x, Z1.x, Z3.x);
}
return(new SecP224R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = Curve;
SecP384R1FieldElement secP384R1FieldElement = (SecP384R1FieldElement)base.RawYCoord;
if (secP384R1FieldElement.IsZero)
{
return(curve.Infinity);
}
SecP384R1FieldElement secP384R1FieldElement2 = (SecP384R1FieldElement)base.RawXCoord;
SecP384R1FieldElement secP384R1FieldElement3 = (SecP384R1FieldElement)base.RawZCoords[0];
uint[] array = Nat.Create(12);
uint[] array2 = Nat.Create(12);
uint[] array3 = Nat.Create(12);
SecP384R1Field.Square(secP384R1FieldElement.x, array3);
uint[] array4 = Nat.Create(12);
SecP384R1Field.Square(array3, array4);
bool isOne = secP384R1FieldElement3.IsOne;
uint[] array5 = secP384R1FieldElement3.x;
if (!isOne)
{
array5 = array2;
SecP384R1Field.Square(secP384R1FieldElement3.x, array5);
}
SecP384R1Field.Subtract(secP384R1FieldElement2.x, array5, array);
uint[] array6 = array2;
SecP384R1Field.Add(secP384R1FieldElement2.x, array5, array6);
SecP384R1Field.Multiply(array6, array, array6);
uint x = Nat.AddBothTo(12, array6, array6, array6);
SecP384R1Field.Reduce32(x, array6);
uint[] array7 = array3;
SecP384R1Field.Multiply(array3, secP384R1FieldElement2.x, array7);
x = Nat.ShiftUpBits(12, array7, 2, 0u);
SecP384R1Field.Reduce32(x, array7);
x = Nat.ShiftUpBits(12, array4, 3, 0u, array);
SecP384R1Field.Reduce32(x, array);
SecP384R1FieldElement secP384R1FieldElement4 = new SecP384R1FieldElement(array4);
SecP384R1Field.Square(array6, secP384R1FieldElement4.x);
SecP384R1Field.Subtract(secP384R1FieldElement4.x, array7, secP384R1FieldElement4.x);
SecP384R1Field.Subtract(secP384R1FieldElement4.x, array7, secP384R1FieldElement4.x);
SecP384R1FieldElement secP384R1FieldElement5 = new SecP384R1FieldElement(array7);
SecP384R1Field.Subtract(array7, secP384R1FieldElement4.x, secP384R1FieldElement5.x);
SecP384R1Field.Multiply(secP384R1FieldElement5.x, array6, secP384R1FieldElement5.x);
SecP384R1Field.Subtract(secP384R1FieldElement5.x, array, secP384R1FieldElement5.x);
SecP384R1FieldElement secP384R1FieldElement6 = new SecP384R1FieldElement(array6);
SecP384R1Field.Twice(secP384R1FieldElement.x, secP384R1FieldElement6.x);
if (!isOne)
{
SecP384R1Field.Multiply(secP384R1FieldElement6.x, secP384R1FieldElement3.x, secP384R1FieldElement6.x);
}
return(new SecP384R1Point(curve, secP384R1FieldElement4, secP384R1FieldElement5, new ECFieldElement[1]
{
secP384R1FieldElement6
}, base.IsCompressed));
}
public override ECPoint Twice()
{
if (this.IsInfinity)
{
return(this);
}
var curve = this.Curve;
var Y1 = (SecP256K1FieldElement)this.RawYCoord;
if (Y1.IsZero)
{
return(curve.Infinity);
}
SecP256K1FieldElement X1 = (SecP256K1FieldElement)this.RawXCoord,
Z1 = (SecP256K1FieldElement)this.RawZCoords[0];
uint c;
var Y1Squared = Nat256.Create();
SecP256K1Field.Square(Y1.x, Y1Squared);
var T = Nat256.Create();
SecP256K1Field.Square(Y1Squared, T);
var M = Nat256.Create();
SecP256K1Field.Square(X1.x, M);
c = Nat256.AddBothTo(M, M, M);
SecP256K1Field.Reduce32(c, M);
var S = Y1Squared;
SecP256K1Field.Multiply(Y1Squared, X1.x, S);
c = Nat.ShiftUpBits(8, S, 2, 0);
SecP256K1Field.Reduce32(c, S);
var t1 = Nat256.Create();
c = Nat.ShiftUpBits(8, T, 3, 0, t1);
SecP256K1Field.Reduce32(c, t1);
var X3 = new SecP256K1FieldElement(T);
SecP256K1Field.Square(M, X3.x);
SecP256K1Field.Subtract(X3.x, S, X3.x);
SecP256K1Field.Subtract(X3.x, S, X3.x);
var Y3 = new SecP256K1FieldElement(S);
SecP256K1Field.Subtract(S, X3.x, Y3.x);
SecP256K1Field.Multiply(Y3.x, M, Y3.x);
SecP256K1Field.Subtract(Y3.x, t1, Y3.x);
var Z3 = new SecP256K1FieldElement(M);
SecP256K1Field.Twice(Y1.x, Z3.x);
if (!Z1.IsOne)
{
SecP256K1Field.Multiply(Z3.x, Z1.x, Z3.x);
}
return(new SecP256K1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, this.IsCompressed));
}
