public override ECFieldElement Divide(ECFieldElement b)
{
uint[] z = Nat160.Create();
Mod.Invert(SecP160R2Field.P, ((SecP160R2FieldElement)b).x, z);
SecP160R2Field.Multiply(z, this.x, z);
return(new SecP160R2FieldElement(z));
}
public override ECFieldElement Invert()
{
// return new SecP160R2FieldElement(ToBigInteger().modInverse(Q));
uint[] z = Nat160.Create();
SecP160R2Field.Inv(x, z);
return(new SecP160R2FieldElement(z));
}
public override ECFieldElement Divide(ECFieldElement b)
{
// return Multiply(b.invert());
uint[] z = Nat160.Create();
SecP160R2Field.Inv(((SecP160R2FieldElement)b).x, z);
SecP160R2Field.Multiply(z, x, z);
return(new SecP160R2FieldElement(z));
}
public SecP160R2FieldElement(BigInteger x)
{
if (x == null || x.SignValue < 0 || x.CompareTo(SecP160R2FieldElement.Q) >= 0)
{
throw new ArgumentException("value invalid for SecP160R2FieldElement", "x");
}
this.x = SecP160R2Field.FromBigInteger(x);
}
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));
}
public SecP160R2FieldElement(BigInteger x)
{
//IL_002a: Unknown result type (might be due to invalid IL or missing references)
if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
{
throw new ArgumentException("value invalid for SecP160R2FieldElement", "x");
}
this.x = SecP160R2Field.FromBigInteger(x);
}
public override ECFieldElement Sqrt()
{
uint[] y = this.x;
if (Nat160.IsZero(y) || Nat160.IsOne(y))
{
return(this);
}
uint[] array = Nat160.Create();
SecP160R2Field.Square(y, array);
SecP160R2Field.Multiply(array, y, array);
uint[] array2 = Nat160.Create();
SecP160R2Field.Square(array, array2);
SecP160R2Field.Multiply(array2, y, array2);
uint[] array3 = Nat160.Create();
SecP160R2Field.Square(array2, array3);
SecP160R2Field.Multiply(array3, y, array3);
uint[] array4 = Nat160.Create();
SecP160R2Field.SquareN(array3, 3, array4);
SecP160R2Field.Multiply(array4, array2, array4);
uint[] array5 = array3;
SecP160R2Field.SquareN(array4, 7, array5);
SecP160R2Field.Multiply(array5, array4, array5);
uint[] array6 = array4;
SecP160R2Field.SquareN(array5, 3, array6);
SecP160R2Field.Multiply(array6, array2, array6);
uint[] array7 = Nat160.Create();
SecP160R2Field.SquareN(array6, 14, array7);
SecP160R2Field.Multiply(array7, array5, array7);
uint[] array8 = array5;
SecP160R2Field.SquareN(array7, 31, array8);
SecP160R2Field.Multiply(array8, array7, array8);
uint[] z = array7;
SecP160R2Field.SquareN(array8, 62, z);
SecP160R2Field.Multiply(z, array8, z);
uint[] array9 = array8;
SecP160R2Field.SquareN(z, 3, array9);
SecP160R2Field.Multiply(array9, array2, array9);
uint[] z2 = array9;
SecP160R2Field.SquareN(z2, 18, z2);
SecP160R2Field.Multiply(z2, array6, z2);
SecP160R2Field.SquareN(z2, 2, z2);
SecP160R2Field.Multiply(z2, y, z2);
SecP160R2Field.SquareN(z2, 3, z2);
SecP160R2Field.Multiply(z2, array, z2);
SecP160R2Field.SquareN(z2, 6, z2);
SecP160R2Field.Multiply(z2, array2, z2);
SecP160R2Field.SquareN(z2, 2, z2);
SecP160R2Field.Multiply(z2, y, z2);
uint[] array10 = array;
SecP160R2Field.Square(z2, array10);
if (!Nat160.Eq(y, array10))
{
return(null);
}
return(new SecP160R2FieldElement(z2));
}
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));
}
// 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 static void SquareN(uint[] x, int n, uint[] z)
{
uint[] array = Nat160.CreateExt();
Nat160.Square(x, array);
SecP160R2Field.Reduce(array, z);
while (--n > 0)
{
Nat160.Square(z, array);
SecP160R2Field.Reduce(array, z);
}
}
public override ECFieldElement Sqrt()
{
uint[] x = this.x;
if (Nat160.IsZero(x) || Nat160.IsOne(x))
{
return(this);
}
uint[] z = Nat160.Create();
SecP160R2Field.Square(x, z);
SecP160R2Field.Multiply(z, x, z);
uint[] numArray3 = Nat160.Create();
SecP160R2Field.Square(z, numArray3);
SecP160R2Field.Multiply(numArray3, x, numArray3);
uint[] numArray4 = Nat160.Create();
SecP160R2Field.Square(numArray3, numArray4);
SecP160R2Field.Multiply(numArray4, x, numArray4);
uint[] numArray5 = Nat160.Create();
SecP160R2Field.SquareN(numArray4, 3, numArray5);
SecP160R2Field.Multiply(numArray5, numArray3, numArray5);
uint[] numArray6 = numArray4;
SecP160R2Field.SquareN(numArray5, 7, numArray6);
SecP160R2Field.Multiply(numArray6, numArray5, numArray6);
uint[] numArray7 = numArray5;
SecP160R2Field.SquareN(numArray6, 3, numArray7);
SecP160R2Field.Multiply(numArray7, numArray3, numArray7);
uint[] numArray8 = Nat160.Create();
SecP160R2Field.SquareN(numArray7, 14, numArray8);
SecP160R2Field.Multiply(numArray8, numArray6, numArray8);
uint[] numArray9 = numArray6;
SecP160R2Field.SquareN(numArray8, 0x1f, numArray9);
SecP160R2Field.Multiply(numArray9, numArray8, numArray9);
uint[] numArray10 = numArray8;
SecP160R2Field.SquareN(numArray9, 0x3e, numArray10);
SecP160R2Field.Multiply(numArray10, numArray9, numArray10);
uint[] numArray11 = numArray9;
SecP160R2Field.SquareN(numArray10, 3, numArray11);
SecP160R2Field.Multiply(numArray11, numArray3, numArray11);
uint[] numArray12 = numArray11;
SecP160R2Field.SquareN(numArray12, 0x12, numArray12);
SecP160R2Field.Multiply(numArray12, numArray7, numArray12);
SecP160R2Field.SquareN(numArray12, 2, numArray12);
SecP160R2Field.Multiply(numArray12, x, numArray12);
SecP160R2Field.SquareN(numArray12, 3, numArray12);
SecP160R2Field.Multiply(numArray12, z, numArray12);
SecP160R2Field.SquareN(numArray12, 6, numArray12);
SecP160R2Field.Multiply(numArray12, numArray3, numArray12);
SecP160R2Field.SquareN(numArray12, 2, numArray12);
SecP160R2Field.Multiply(numArray12, x, numArray12);
uint[] numArray13 = z;
SecP160R2Field.Square(numArray12, numArray13);
return(!Nat160.Eq(x, numArray13) ? null : new SecP160R2FieldElement(numArray12));
}
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 ECFieldElement Subtract(ECFieldElement b)
{
uint[] z = Nat160.Create();
SecP160R2Field.Subtract(x, ((SecP160R2FieldElement)b).x, z);
return(new SecP160R2FieldElement(z));
}
public override ECFieldElement AddOne()
{
uint[] z = Nat160.Create();
SecP160R2Field.AddOne(x, z);
return(new SecP160R2FieldElement(z));
}
// D.1.4 91
/**
* return a sqrt root - the routine verifies that the calculation returns the right value - if
* none exists it returns null.
*/
public override ECFieldElement Sqrt()
{
/*
* Raise this element to the exponent 2^158 - 2^30 - 2^12 - 2^10 - 2^7 - 2^6 - 2^5 - 2^1 - 2^0
*
* Breaking up the exponent's binary representation into "repunits", we get: { 127 1s } { 1
* 0s } { 17 1s } { 1 0s } { 1 1s } { 1 0s } { 2 1s } { 3 0s } { 3 1s } { 1 0s } { 1 1s }
*
* Therefore we need an Addition chain containing 1, 2, 3, 17, 127 (the lengths of the repunits)
* We use: [1], [2], [3], 4, 7, 14, [17], 31, 62, 124, [127]
*/
uint[] x1 = this.x;
if (Nat160.IsZero(x1) || Nat160.IsOne(x1))
{
return(this);
}
uint[] x2 = Nat160.Create();
SecP160R2Field.Square(x1, x2);
SecP160R2Field.Multiply(x2, x1, x2);
uint[] x3 = Nat160.Create();
SecP160R2Field.Square(x2, x3);
SecP160R2Field.Multiply(x3, x1, x3);
uint[] x4 = Nat160.Create();
SecP160R2Field.Square(x3, x4);
SecP160R2Field.Multiply(x4, x1, x4);
uint[] x7 = Nat160.Create();
SecP160R2Field.SquareN(x4, 3, x7);
SecP160R2Field.Multiply(x7, x3, x7);
uint[] x14 = x4;
SecP160R2Field.SquareN(x7, 7, x14);
SecP160R2Field.Multiply(x14, x7, x14);
uint[] x17 = x7;
SecP160R2Field.SquareN(x14, 3, x17);
SecP160R2Field.Multiply(x17, x3, x17);
uint[] x31 = Nat160.Create();
SecP160R2Field.SquareN(x17, 14, x31);
SecP160R2Field.Multiply(x31, x14, x31);
uint[] x62 = x14;
SecP160R2Field.SquareN(x31, 31, x62);
SecP160R2Field.Multiply(x62, x31, x62);
uint[] x124 = x31;
SecP160R2Field.SquareN(x62, 62, x124);
SecP160R2Field.Multiply(x124, x62, x124);
uint[] x127 = x62;
SecP160R2Field.SquareN(x124, 3, x127);
SecP160R2Field.Multiply(x127, x3, x127);
uint[] t1 = x127;
SecP160R2Field.SquareN(t1, 18, t1);
SecP160R2Field.Multiply(t1, x17, t1);
SecP160R2Field.SquareN(t1, 2, t1);
SecP160R2Field.Multiply(t1, x1, t1);
SecP160R2Field.SquareN(t1, 3, t1);
SecP160R2Field.Multiply(t1, x2, t1);
SecP160R2Field.SquareN(t1, 6, t1);
SecP160R2Field.Multiply(t1, x3, t1);
SecP160R2Field.SquareN(t1, 2, t1);
SecP160R2Field.Multiply(t1, x1, t1);
uint[] t2 = x2;
SecP160R2Field.Square(t1, t2);
return(Nat160.Eq(x1, t2) ? new SecP160R2FieldElement(t1) : null);
}
public override ECFieldElement Multiply(ECFieldElement b)
{
uint[] z = Nat160.Create();
SecP160R2Field.Multiply(x, ((SecP160R2FieldElement)b).x, z);
return(new SecP160R2FieldElement(z));
}
public override ECFieldElement Add(ECFieldElement b)
{
uint[] z = Nat160.Create();
SecP160R2Field.Add(this.x, ((SecP160R2FieldElement)b).x, z);
return(new SecP160R2FieldElement(z));
}
public override ECFieldElement Square()
{
uint[] z = Nat160.Create();
SecP160R2Field.Square(this.x, z);
return(new SecP160R2FieldElement(z));
}
public override ECPoint Add(ECPoint b)
{
if (base.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(this);
}
if (this == b)
{
return(this.Twice());
}
ECCurve curve = this.Curve;
SecP160R2FieldElement secP160R2FieldElement = (SecP160R2FieldElement)base.RawXCoord;
SecP160R2FieldElement secP160R2FieldElement2 = (SecP160R2FieldElement)base.RawYCoord;
SecP160R2FieldElement secP160R2FieldElement3 = (SecP160R2FieldElement)b.RawXCoord;
SecP160R2FieldElement secP160R2FieldElement4 = (SecP160R2FieldElement)b.RawYCoord;
SecP160R2FieldElement secP160R2FieldElement5 = (SecP160R2FieldElement)base.RawZCoords[0];
SecP160R2FieldElement secP160R2FieldElement6 = (SecP160R2FieldElement)b.RawZCoords[0];
uint[] array = Nat160.CreateExt();
uint[] array2 = Nat160.Create();
uint[] array3 = Nat160.Create();
uint[] array4 = Nat160.Create();
bool isOne = secP160R2FieldElement5.IsOne;
uint[] array5;
uint[] array6;
if (isOne)
{
array5 = secP160R2FieldElement3.x;
array6 = secP160R2FieldElement4.x;
}
else
{
array6 = array3;
SecP160R2Field.Square(secP160R2FieldElement5.x, array6);
array5 = array2;
SecP160R2Field.Multiply(array6, secP160R2FieldElement3.x, array5);
SecP160R2Field.Multiply(array6, secP160R2FieldElement5.x, array6);
SecP160R2Field.Multiply(array6, secP160R2FieldElement4.x, array6);
}
bool isOne2 = secP160R2FieldElement6.IsOne;
uint[] array7;
uint[] array8;
if (isOne2)
{
array7 = secP160R2FieldElement.x;
array8 = secP160R2FieldElement2.x;
}
else
{
array8 = array4;
SecP160R2Field.Square(secP160R2FieldElement6.x, array8);
array7 = array;
SecP160R2Field.Multiply(array8, secP160R2FieldElement.x, array7);
SecP160R2Field.Multiply(array8, secP160R2FieldElement6.x, array8);
SecP160R2Field.Multiply(array8, secP160R2FieldElement2.x, array8);
}
uint[] array9 = Nat160.Create();
SecP160R2Field.Subtract(array7, array5, array9);
uint[] array10 = array2;
SecP160R2Field.Subtract(array8, array6, array10);
if (!Nat160.IsZero(array9))
{
uint[] array11 = array3;
SecP160R2Field.Square(array9, array11);
uint[] array12 = Nat160.Create();
SecP160R2Field.Multiply(array11, array9, array12);
uint[] array13 = array3;
SecP160R2Field.Multiply(array11, array7, array13);
SecP160R2Field.Negate(array12, array12);
Nat160.Mul(array8, array12, array);
uint x = Nat160.AddBothTo(array13, array13, array12);
SecP160R2Field.Reduce32(x, array12);
SecP160R2FieldElement secP160R2FieldElement7 = new SecP160R2FieldElement(array4);
SecP160R2Field.Square(array10, secP160R2FieldElement7.x);
SecP160R2Field.Subtract(secP160R2FieldElement7.x, array12, secP160R2FieldElement7.x);
SecP160R2FieldElement secP160R2FieldElement8 = new SecP160R2FieldElement(array12);
SecP160R2Field.Subtract(array13, secP160R2FieldElement7.x, secP160R2FieldElement8.x);
SecP160R2Field.MultiplyAddToExt(secP160R2FieldElement8.x, array10, array);
SecP160R2Field.Reduce(array, secP160R2FieldElement8.x);
SecP160R2FieldElement secP160R2FieldElement9 = new SecP160R2FieldElement(array9);
if (!isOne)
{
SecP160R2Field.Multiply(secP160R2FieldElement9.x, secP160R2FieldElement5.x, secP160R2FieldElement9.x);
}
if (!isOne2)
{
SecP160R2Field.Multiply(secP160R2FieldElement9.x, secP160R2FieldElement6.x, secP160R2FieldElement9.x);
}
ECFieldElement[] zs = new ECFieldElement[]
{
secP160R2FieldElement9
};
return(new SecP160R2Point(curve, secP160R2FieldElement7, secP160R2FieldElement8, zs, base.IsCompressed));
}
if (Nat160.IsZero(array10))
{
return(this.Twice());
}
return(curve.Infinity);
}
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;
SecP160R2FieldElement rawXCoord = (SecP160R2FieldElement)base.RawXCoord;
SecP160R2FieldElement rawYCoord = (SecP160R2FieldElement)base.RawYCoord;
SecP160R2FieldElement element3 = (SecP160R2FieldElement)b.RawXCoord;
SecP160R2FieldElement element4 = (SecP160R2FieldElement)b.RawYCoord;
SecP160R2FieldElement element5 = (SecP160R2FieldElement)base.RawZCoords[0];
SecP160R2FieldElement element6 = (SecP160R2FieldElement)b.RawZCoords[0];
uint[] zz = Nat160.CreateExt();
uint[] numArray2 = Nat160.Create();
uint[] numArray3 = Nat160.Create();
uint[] x = Nat160.Create();
bool isOne = element5.IsOne;
if (isOne)
{
numArray5 = element3.x;
numArray6 = element4.x;
}
else
{
numArray6 = numArray3;
SecP160R2Field.Square(element5.x, numArray6);
numArray5 = numArray2;
SecP160R2Field.Multiply(numArray6, element3.x, numArray5);
SecP160R2Field.Multiply(numArray6, element5.x, numArray6);
SecP160R2Field.Multiply(numArray6, element4.x, numArray6);
}
bool flag2 = element6.IsOne;
if (flag2)
{
numArray7 = rawXCoord.x;
numArray8 = rawYCoord.x;
}
else
{
numArray8 = x;
SecP160R2Field.Square(element6.x, numArray8);
numArray7 = zz;
SecP160R2Field.Multiply(numArray8, rawXCoord.x, numArray7);
SecP160R2Field.Multiply(numArray8, element6.x, numArray8);
SecP160R2Field.Multiply(numArray8, rawYCoord.x, numArray8);
}
uint[] z = Nat160.Create();
SecP160R2Field.Subtract(numArray7, numArray5, z);
uint[] numArray10 = numArray2;
SecP160R2Field.Subtract(numArray8, numArray6, numArray10);
if (Nat160.IsZero(z))
{
if (Nat160.IsZero(numArray10))
{
return(this.Twice());
}
return(curve.Infinity);
}
uint[] numArray11 = numArray3;
SecP160R2Field.Square(z, numArray11);
uint[] numArray12 = Nat160.Create();
SecP160R2Field.Multiply(numArray11, z, numArray12);
uint[] numArray13 = numArray3;
SecP160R2Field.Multiply(numArray11, numArray7, numArray13);
SecP160R2Field.Negate(numArray12, numArray12);
Nat160.Mul(numArray8, numArray12, zz);
SecP160R2Field.Reduce32(Nat160.AddBothTo(numArray13, numArray13, numArray12), numArray12);
SecP160R2FieldElement element7 = new SecP160R2FieldElement(x);
SecP160R2Field.Square(numArray10, element7.x);
SecP160R2Field.Subtract(element7.x, numArray12, element7.x);
SecP160R2FieldElement y = new SecP160R2FieldElement(numArray12);
SecP160R2Field.Subtract(numArray13, element7.x, y.x);
SecP160R2Field.MultiplyAddToExt(y.x, numArray10, zz);
SecP160R2Field.Reduce(zz, y.x);
SecP160R2FieldElement element9 = new SecP160R2FieldElement(z);
if (!isOne)
{
SecP160R2Field.Multiply(element9.x, element5.x, element9.x);
}
if (!flag2)
{
SecP160R2Field.Multiply(element9.x, element6.x, element9.x);
}
ECFieldElement[] zs = new ECFieldElement[] { element9 };
return(new SecP160K1Point(curve, element7, y, zs, base.IsCompressed));
}
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;
SecP160R2FieldElement X1 = (SecP160R2FieldElement)this.RawXCoord, Y1 = (SecP160R2FieldElement)this.RawYCoord;
SecP160R2FieldElement X2 = (SecP160R2FieldElement)b.RawXCoord, Y2 = (SecP160R2FieldElement)b.RawYCoord;
SecP160R2FieldElement Z1 = (SecP160R2FieldElement)this.RawZCoords[0];
SecP160R2FieldElement Z2 = (SecP160R2FieldElement)b.RawZCoords[0];
uint c;
uint[] tt1 = Nat160.CreateExt();
uint[] t2 = Nat160.Create();
uint[] t3 = Nat160.Create();
uint[] t4 = Nat160.Create();
bool Z1IsOne = Z1.IsOne;
uint[] U2, S2;
if (Z1IsOne)
{
U2 = X2.x;
S2 = Y2.x;
}
else
{
S2 = t3;
SecP160R2Field.Square(Z1.x, S2);
U2 = t2;
SecP160R2Field.Multiply(S2, X2.x, U2);
SecP160R2Field.Multiply(S2, Z1.x, S2);
SecP160R2Field.Multiply(S2, Y2.x, S2);
}
bool Z2IsOne = Z2.IsOne;
uint[] U1, S1;
if (Z2IsOne)
{
U1 = X1.x;
S1 = Y1.x;
}
else
{
S1 = t4;
SecP160R2Field.Square(Z2.x, S1);
U1 = tt1;
SecP160R2Field.Multiply(S1, X1.x, U1);
SecP160R2Field.Multiply(S1, Z2.x, S1);
SecP160R2Field.Multiply(S1, Y1.x, S1);
}
uint[] H = Nat160.Create();
SecP160R2Field.Subtract(U1, U2, H);
uint[] R = t2;
SecP160R2Field.Subtract(S1, S2, R);
// Check if b == this or b == -this
if (Nat160.IsZero(H))
{
if (Nat160.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;
SecP160R2Field.Square(H, HSquared);
uint[] G = Nat160.Create();
SecP160R2Field.Multiply(HSquared, H, G);
uint[] V = t3;
SecP160R2Field.Multiply(HSquared, U1, V);
SecP160R2Field.Negate(G, G);
Nat160.Mul(S1, G, tt1);
c = Nat160.AddBothTo(V, V, G);
SecP160R2Field.Reduce32(c, G);
SecP160R2FieldElement X3 = new SecP160R2FieldElement(t4);
SecP160R2Field.Square(R, X3.x);
SecP160R2Field.Subtract(X3.x, G, X3.x);
SecP160R2FieldElement Y3 = new SecP160R2FieldElement(G);
SecP160R2Field.Subtract(V, X3.x, Y3.x);
SecP160R2Field.MultiplyAddToExt(Y3.x, R, tt1);
SecP160R2Field.Reduce(tt1, Y3.x);
SecP160R2FieldElement Z3 = new SecP160R2FieldElement(H);
if (!Z1IsOne)
{
SecP160R2Field.Multiply(Z3.x, Z1.x, Z3.x);
}
if (!Z2IsOne)
{
SecP160R2Field.Multiply(Z3.x, Z2.x, Z3.x);
}
ECFieldElement[] zs = new ECFieldElement[] { Z3 };
return(new SecP160R2Point(curve, X3, Y3, zs, IsCompressed));
}
public static void Multiply(uint[] x, uint[] y, uint[] z)
{
uint[] array = Nat160.CreateExt();
Nat160.Mul(x, y, array);
SecP160R2Field.Reduce(array, z);
}
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 }));
}
public static void Square(uint[] x, uint[] z)
{
uint[] array = Nat160.CreateExt();
Nat160.Square(x, array);
SecP160R2Field.Reduce(array, z);
}
public override ECFieldElement RandomFieldElement(SecureRandom r)
{
uint[] x = Nat160.Create();
SecP160R2Field.Random(r, x);
return(new SecP160R2FieldElement(x));
}
