public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecP160R2FieldElement rawYCoord = (SecP160R2FieldElement)base.RawYCoord;
if (rawYCoord.IsZero)
{
return(curve.Infinity);
}
SecP160R2FieldElement rawXCoord = (SecP160R2FieldElement)base.RawXCoord;
SecP160R2FieldElement element3 = (SecP160R2FieldElement)base.RawZCoords[0];
uint[] z = Nat160.Create();
uint[] numArray2 = Nat160.Create();
uint[] numArray3 = Nat160.Create();
SecP160R2Field.Square(rawYCoord.x, numArray3);
uint[] numArray4 = Nat160.Create();
SecP160R2Field.Square(numArray3, numArray4);
bool isOne = element3.IsOne;
uint[] x = element3.x;
if (!isOne)
{
x = numArray2;
SecP160R2Field.Square(element3.x, x);
}
SecP160R2Field.Subtract(rawXCoord.x, x, z);
uint[] numArray6 = numArray2;
SecP160R2Field.Add(rawXCoord.x, x, numArray6);
SecP160R2Field.Multiply(numArray6, z, numArray6);
SecP160R2Field.Reduce32(Nat160.AddBothTo(numArray6, numArray6, numArray6), numArray6);
uint[] numArray7 = numArray3;
SecP160R2Field.Multiply(numArray3, rawXCoord.x, numArray7);
SecP160R2Field.Reduce32(Nat.ShiftUpBits(5, numArray7, 2, 0), numArray7);
SecP160R2Field.Reduce32(Nat.ShiftUpBits(5, numArray4, 3, 0, z), z);
SecP160R2FieldElement element4 = new SecP160R2FieldElement(numArray4);
SecP160R2Field.Square(numArray6, element4.x);
SecP160R2Field.Subtract(element4.x, numArray7, element4.x);
SecP160R2Field.Subtract(element4.x, numArray7, element4.x);
SecP160R2FieldElement y = new SecP160R2FieldElement(numArray7);
SecP160R2Field.Subtract(numArray7, element4.x, y.x);
SecP160R2Field.Multiply(y.x, numArray6, y.x);
SecP160R2Field.Subtract(y.x, z, y.x);
SecP160R2FieldElement element6 = new SecP160R2FieldElement(numArray6);
SecP160R2Field.Twice(rawYCoord.x, element6.x);
if (!isOne)
{
SecP160R2Field.Multiply(element6.x, element3.x, element6.x);
}
return(new SecP160R2Point(curve, element4, y, new ECFieldElement[] { element6 }, 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;
SecP160R2FieldElement secP160R2FieldElement = (SecP160R2FieldElement)base.RawYCoord;
if (secP160R2FieldElement.IsZero)
{
return(curve.Infinity);
}
SecP160R2FieldElement secP160R2FieldElement2 = (SecP160R2FieldElement)base.RawXCoord;
SecP160R2FieldElement secP160R2FieldElement3 = (SecP160R2FieldElement)base.RawZCoords[0];
uint[] array = Nat160.Create();
SecP160R2Field.Square(secP160R2FieldElement.x, array);
uint[] array2 = Nat160.Create();
SecP160R2Field.Square(array, array2);
uint[] array3 = Nat160.Create();
SecP160R2Field.Square(secP160R2FieldElement2.x, array3);
uint x = Nat160.AddBothTo(array3, array3, array3);
SecP160R2Field.Reduce32(x, array3);
uint[] array4 = array;
SecP160R2Field.Multiply(array, secP160R2FieldElement2.x, array4);
x = Nat.ShiftUpBits(5, array4, 2, 0u);
SecP160R2Field.Reduce32(x, array4);
uint[] array5 = Nat160.Create();
x = Nat.ShiftUpBits(5, array2, 3, 0u, array5);
SecP160R2Field.Reduce32(x, array5);
SecP160R2FieldElement secP160R2FieldElement4 = new SecP160R2FieldElement(array2);
SecP160R2Field.Square(array3, secP160R2FieldElement4.x);
SecP160R2Field.Subtract(secP160R2FieldElement4.x, array4, secP160R2FieldElement4.x);
SecP160R2Field.Subtract(secP160R2FieldElement4.x, array4, secP160R2FieldElement4.x);
SecP160R2FieldElement secP160R2FieldElement5 = new SecP160R2FieldElement(array4);
SecP160R2Field.Subtract(array4, secP160R2FieldElement4.x, secP160R2FieldElement5.x);
SecP160R2Field.Multiply(secP160R2FieldElement5.x, array3, secP160R2FieldElement5.x);
SecP160R2Field.Subtract(secP160R2FieldElement5.x, array5, secP160R2FieldElement5.x);
SecP160R2FieldElement secP160R2FieldElement6 = new SecP160R2FieldElement(array3);
SecP160R2Field.Twice(secP160R2FieldElement.x, secP160R2FieldElement6.x);
if (!secP160R2FieldElement3.IsOne)
{
SecP160R2Field.Multiply(secP160R2FieldElement6.x, secP160R2FieldElement3.x, secP160R2FieldElement6.x);
}
return(new SecP160K1Point(curve, secP160R2FieldElement4, secP160R2FieldElement5, new ECFieldElement[]
{
secP160R2FieldElement6
}, base.IsCompressed));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
SecP160R2FieldElement rawYCoord = (SecP160R2FieldElement)base.RawYCoord;
if (rawYCoord.IsZero)
{
return(curve.Infinity);
}
SecP160R2FieldElement rawXCoord = (SecP160R2FieldElement)base.RawXCoord;
SecP160R2FieldElement element3 = (SecP160R2FieldElement)base.RawZCoords[0];
uint[] z = Nat160.Create();
SecP160R2Field.Square(rawYCoord.x, z);
uint[] numArray2 = Nat160.Create();
SecP160R2Field.Square(z, numArray2);
uint[] numArray3 = Nat160.Create();
SecP160R2Field.Square(rawXCoord.x, numArray3);
SecP160R2Field.Reduce32(Nat160.AddBothTo(numArray3, numArray3, numArray3), numArray3);
uint[] numArray4 = z;
SecP160R2Field.Multiply(z, rawXCoord.x, numArray4);
SecP160R2Field.Reduce32(Nat.ShiftUpBits(5, numArray4, 2, 0), numArray4);
uint[] numArray5 = Nat160.Create();
SecP160R2Field.Reduce32(Nat.ShiftUpBits(5, numArray2, 3, 0, numArray5), numArray5);
SecP160R2FieldElement x = new SecP160R2FieldElement(numArray2);
SecP160R2Field.Square(numArray3, x.x);
SecP160R2Field.Subtract(x.x, numArray4, x.x);
SecP160R2Field.Subtract(x.x, numArray4, x.x);
SecP160R2FieldElement y = new SecP160R2FieldElement(numArray4);
SecP160R2Field.Subtract(numArray4, x.x, y.x);
SecP160R2Field.Multiply(y.x, numArray3, y.x);
SecP160R2Field.Subtract(y.x, numArray5, y.x);
SecP160R2FieldElement element6 = new SecP160R2FieldElement(numArray3);
SecP160R2Field.Twice(rawYCoord.x, element6.x);
if (!element3.IsOne)
{
SecP160R2Field.Multiply(element6.x, element3.x, element6.x);
}
return(new SecP160K1Point(curve, x, y, new ECFieldElement[] { element6 }, base.IsCompressed));
}
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[] t1 = Nat160.Create();
uint[] t2 = Nat160.Create();
uint[] Y1Squared = Nat160.Create();
SecP160R2Field.Square(Y1.x, Y1Squared);
uint[] T = Nat160.Create();
SecP160R2Field.Square(Y1Squared, T);
bool Z1IsOne = Z1.IsOne;
uint[] Z1Squared = Z1.x;
if (!Z1IsOne)
{
Z1Squared = t2;
SecP160R2Field.Square(Z1.x, Z1Squared);
}
SecP160R2Field.Subtract(X1.x, Z1Squared, t1);
uint[] M = t2;
SecP160R2Field.Add(X1.x, Z1Squared, M);
SecP160R2Field.Multiply(M, t1, 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);
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 (!Z1IsOne)
{
SecP160R2Field.Multiply(Z3.x, Z1.x, Z3.x);
}
return(new SecP160R2Point(curve, X3, Y3, new ECFieldElement[] { Z3 }));
}
