protected override ECPoint DecompressPoint(int yTilde, BigInteger X1)
{
ECFieldElement xp = FromBigInteger(X1), yp;
if (xp.IsZero)
{
yp = m_b.Sqrt();
}
else
{
ECFieldElement beta = xp.Square().Invert().Multiply(B).Add(A).Add(xp);
ECFieldElement z = SolveQuadradicEquation(beta);
if (z == null)
{
throw new ArithmeticException("Invalid point compression");
}
if (z.TestBitZero() != (yTilde == 1))
{
z = z.AddOne();
}
switch (this.CoordinateSystem)
{
case COORD_LAMBDA_AFFINE:
case COORD_LAMBDA_PROJECTIVE:
{
yp = z.Add(xp);
break;
}
default:
{
yp = z.Multiply(xp);
break;
}
}
}
return(new F2mPoint(this, xp, yp, true));
}
protected override ECPoint DecompressPoint(int yTilde, BigInteger X1)
{
//IL_009b: Unknown result type (might be due to invalid IL or missing references)
ECFieldElement eCFieldElement = FromBigInteger(X1);
ECFieldElement eCFieldElement2 = null;
if (eCFieldElement.IsZero)
{
eCFieldElement2 = B.Sqrt();
}
else
{
ECFieldElement beta = eCFieldElement.Square().Invert().Multiply(B)
.Add(A)
.Add(eCFieldElement);
ECFieldElement eCFieldElement3 = SolveQuadradicEquation(beta);
if (eCFieldElement3 != null)
{
if (eCFieldElement3.TestBitZero() != (yTilde == 1))
{
eCFieldElement3 = eCFieldElement3.AddOne();
}
switch (CoordinateSystem)
{
case 5:
case 6:
eCFieldElement2 = eCFieldElement3.Add(eCFieldElement);
break;
default:
eCFieldElement2 = eCFieldElement3.Multiply(eCFieldElement);
break;
}
}
}
if (eCFieldElement2 == null)
{
throw new ArgumentException("Invalid point compression");
}
return(CreateRawPoint(eCFieldElement, eCFieldElement2, withCompression: true));
}
protected override ECPoint DecompressPoint(int yTilde, BigInteger X1)
{
ECFieldElement eCFieldElement = this.FromBigInteger(X1);
ECFieldElement eCFieldElement2 = null;
if (eCFieldElement.IsZero)
{
eCFieldElement2 = this.m_b.Sqrt();
}
else
{
ECFieldElement beta = eCFieldElement.Square().Invert().Multiply(this.B).Add(this.A).Add(eCFieldElement);
ECFieldElement eCFieldElement3 = this.SolveQuadradicEquation(beta);
if (eCFieldElement3 != null)
{
if (eCFieldElement3.TestBitZero() != (yTilde == 1))
{
eCFieldElement3 = eCFieldElement3.AddOne();
}
switch (this.CoordinateSystem)
{
case 5:
case 6:
eCFieldElement2 = eCFieldElement3.Add(eCFieldElement);
break;
default:
eCFieldElement2 = eCFieldElement3.Multiply(eCFieldElement);
break;
}
}
}
if (eCFieldElement2 == null)
{
throw new ArgumentException("Invalid point compression");
}
return(this.CreateRawPoint(eCFieldElement, eCFieldElement2, true));
}
protected override ECPoint DecompressPoint(int yTilde, BigInteger X1)
{
ECFieldElement b = this.FromBigInteger(X1);
ECFieldElement y = null;
if (b.IsZero)
{
y = this.B.Sqrt();
}
else
{
ECFieldElement beta = b.Square().Invert().Multiply(this.B).Add(this.A).Add(b);
ECFieldElement element4 = this.SolveQuadradicEquation(beta);
if (element4 != null)
{
if (element4.TestBitZero() != (yTilde == 1))
{
element4 = element4.AddOne();
}
switch (this.CoordinateSystem)
{
case 5:
case 6:
y = element4.Add(b);
goto Label_00A9;
}
y = element4.Multiply(b);
}
}
Label_00A9:
if (y == null)
{
throw new ArgumentException("Invalid point compression");
}
return(this.CreateRawPoint(b, y, true));
}
public override ECPoint TwicePlus(ECPoint b)
{
if (base.IsInfinity)
{
return(b);
}
if (b.IsInfinity)
{
return(Twice());
}
ECCurve curve = Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(b);
}
int coordinateSystem = curve.CoordinateSystem;
int num = coordinateSystem;
if (num == 6)
{
ECFieldElement rawXCoord2 = b.RawXCoord;
ECFieldElement eCFieldElement = b.RawZCoords[0];
if (rawXCoord2.IsZero || !eCFieldElement.IsOne)
{
return(Twice().Add(b));
}
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement2 = base.RawZCoords[0];
ECFieldElement rawYCoord2 = b.RawYCoord;
ECFieldElement x = rawXCoord.Square();
ECFieldElement b2 = rawYCoord.Square();
ECFieldElement eCFieldElement3 = eCFieldElement2.Square();
ECFieldElement b3 = rawYCoord.Multiply(eCFieldElement2);
ECFieldElement b4 = curve.A.Multiply(eCFieldElement3).Add(b2).Add(b3);
ECFieldElement eCFieldElement4 = rawYCoord2.AddOne();
ECFieldElement eCFieldElement5 = curve.A.Add(eCFieldElement4).Multiply(eCFieldElement3).Add(b2)
.MultiplyPlusProduct(b4, x, eCFieldElement3);
ECFieldElement eCFieldElement6 = rawXCoord2.Multiply(eCFieldElement3);
ECFieldElement eCFieldElement7 = eCFieldElement6.Add(b4).Square();
if (eCFieldElement7.IsZero)
{
if (eCFieldElement5.IsZero)
{
return(b.Twice());
}
return(curve.Infinity);
}
if (eCFieldElement5.IsZero)
{
return(new F2mPoint(curve, eCFieldElement5, curve.B.Sqrt(), base.IsCompressed));
}
ECFieldElement x2 = eCFieldElement5.Square().Multiply(eCFieldElement6);
ECFieldElement eCFieldElement8 = eCFieldElement5.Multiply(eCFieldElement7).Multiply(eCFieldElement3);
ECFieldElement y = eCFieldElement5.Add(eCFieldElement7).Square().MultiplyPlusProduct(b4, eCFieldElement4, eCFieldElement8);
return(new F2mPoint(curve, x2, y, new ECFieldElement[1]
{
eCFieldElement8
}, base.IsCompressed));
}
return(Twice().Add(b));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (!rawXCoord.IsZero)
{
switch (curve.CoordinateSystem)
{
case 0:
{
ECFieldElement rawYCoord2 = base.RawYCoord;
ECFieldElement eCFieldElement11 = rawYCoord2.Divide(rawXCoord).Add(rawXCoord);
ECFieldElement x = eCFieldElement11.Square().Add(eCFieldElement11).Add(curve.A);
ECFieldElement y = rawXCoord.SquarePlusProduct(x, eCFieldElement11.AddOne());
return(new F2mPoint(curve, x, y, base.IsCompressed));
}
case 1:
{
ECFieldElement rawYCoord3 = base.RawYCoord;
ECFieldElement eCFieldElement12 = base.RawZCoords[0];
bool isOne2 = eCFieldElement12.IsOne;
ECFieldElement eCFieldElement13 = (!isOne2) ? rawXCoord.Multiply(eCFieldElement12) : rawXCoord;
ECFieldElement b3 = (!isOne2) ? rawYCoord3.Multiply(eCFieldElement12) : rawYCoord3;
ECFieldElement eCFieldElement14 = rawXCoord.Square();
ECFieldElement eCFieldElement15 = eCFieldElement14.Add(b3);
ECFieldElement eCFieldElement16 = eCFieldElement13;
ECFieldElement eCFieldElement17 = eCFieldElement16.Square();
ECFieldElement eCFieldElement18 = eCFieldElement15.Add(eCFieldElement16);
ECFieldElement eCFieldElement19 = eCFieldElement18.MultiplyPlusProduct(eCFieldElement15, eCFieldElement17, curve.A);
ECFieldElement x2 = eCFieldElement16.Multiply(eCFieldElement19);
ECFieldElement y2 = eCFieldElement14.Square().MultiplyPlusProduct(eCFieldElement16, eCFieldElement19, eCFieldElement18);
ECFieldElement eCFieldElement20 = eCFieldElement16.Multiply(eCFieldElement17);
return(new F2mPoint(curve, x2, y2, new ECFieldElement[1]
{
eCFieldElement20
}, base.IsCompressed));
}
case 6:
{
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement = base.RawZCoords[0];
bool isOne = eCFieldElement.IsOne;
ECFieldElement eCFieldElement2 = (!isOne) ? rawYCoord.Multiply(eCFieldElement) : rawYCoord;
ECFieldElement eCFieldElement3 = (!isOne) ? eCFieldElement.Square() : eCFieldElement;
ECFieldElement a = curve.A;
ECFieldElement eCFieldElement4 = (!isOne) ? a.Multiply(eCFieldElement3) : a;
ECFieldElement eCFieldElement5 = rawYCoord.Square().Add(eCFieldElement2).Add(eCFieldElement4);
if (eCFieldElement5.IsZero)
{
return(new F2mPoint(curve, eCFieldElement5, curve.B.Sqrt(), base.IsCompressed));
}
ECFieldElement eCFieldElement6 = eCFieldElement5.Square();
ECFieldElement eCFieldElement7 = (!isOne) ? eCFieldElement5.Multiply(eCFieldElement3) : eCFieldElement5;
ECFieldElement b = curve.B;
ECFieldElement eCFieldElement9;
if (b.BitLength < curve.FieldSize >> 1)
{
ECFieldElement eCFieldElement8 = rawYCoord.Add(rawXCoord).Square();
ECFieldElement b2 = (!b.IsOne) ? eCFieldElement4.SquarePlusProduct(b, eCFieldElement3.Square()) : eCFieldElement4.Add(eCFieldElement3).Square();
eCFieldElement9 = eCFieldElement8.Add(eCFieldElement5).Add(eCFieldElement3).Multiply(eCFieldElement8)
.Add(b2)
.Add(eCFieldElement6);
if (a.IsZero)
{
eCFieldElement9 = eCFieldElement9.Add(eCFieldElement7);
}
else if (!a.IsOne)
{
eCFieldElement9 = eCFieldElement9.Add(a.AddOne().Multiply(eCFieldElement7));
}
}
else
{
ECFieldElement eCFieldElement10 = (!isOne) ? rawXCoord.Multiply(eCFieldElement) : rawXCoord;
eCFieldElement9 = eCFieldElement10.SquarePlusProduct(eCFieldElement5, eCFieldElement2).Add(eCFieldElement6).Add(eCFieldElement7);
}
return(new F2mPoint(curve, eCFieldElement6, eCFieldElement9, new ECFieldElement[1]
{
eCFieldElement7
}, base.IsCompressed));
}
default:
throw new InvalidOperationException("unsupported coordinate system");
}
}
return(curve.Infinity);
}
public override ECPoint Twice()
{
ECFieldElement element26;
ECFieldElement element27;
ECFieldElement element29;
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(curve.Infinity);
}
switch (curve.CoordinateSystem)
{
case 0:
{
ECFieldElement b = base.RawYCoord.Divide(rawXCoord).Add(rawXCoord);
ECFieldElement x = b.Square().Add(b).Add(curve.A);
return(new F2mPoint(curve, x, rawXCoord.SquarePlusProduct(x, b.AddOne()), base.IsCompressed));
}
case 1:
{
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement b = base.RawZCoords[0];
bool isOne = b.IsOne;
ECFieldElement element8 = !isOne?rawXCoord.Multiply(b) : rawXCoord;
ECFieldElement element9 = !isOne?rawYCoord.Multiply(b) : rawYCoord;
ECFieldElement element10 = rawXCoord.Square();
ECFieldElement element11 = element10.Add(element9);
ECFieldElement element12 = element8;
ECFieldElement x = element12.Square();
ECFieldElement y = element11.Add(element12);
ECFieldElement element15 = y.MultiplyPlusProduct(element11, x, curve.A);
ECFieldElement element16 = element12.Multiply(element15);
ECFieldElement element17 = element10.Square().MultiplyPlusProduct(element12, element15, y);
ECFieldElement element18 = element12.Multiply(x);
return(new F2mPoint(curve, element16, element17, new ECFieldElement[] { element18 }, base.IsCompressed));
}
case 6:
{
ECFieldElement element31;
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement b = base.RawZCoords[0];
bool isOne = b.IsOne;
ECFieldElement element21 = !isOne?rawYCoord.Multiply(b) : rawYCoord;
ECFieldElement element22 = !isOne?b.Square() : b;
ECFieldElement a = curve.A;
ECFieldElement element24 = !isOne?a.Multiply(element22) : a;
ECFieldElement x = rawYCoord.Square().Add(element21).Add(element24);
if (x.IsZero)
{
return(new F2mPoint(curve, x, curve.B.Sqrt(), base.IsCompressed));
}
element26 = x.Square();
element27 = !isOne?x.Multiply(element22) : x;
ECFieldElement element28 = curve.B;
if (element28.BitLength >= (curve.FieldSize >> 1))
{
ECFieldElement element32 = !isOne?rawXCoord.Multiply(b) : rawXCoord;
element29 = element32.SquarePlusProduct(x, element21).Add(element26).Add(element27);
break;
}
ECFieldElement element30 = rawYCoord.Add(rawXCoord).Square();
if (element28.IsOne)
{
element31 = element24.Add(element22).Square();
}
else
{
element31 = element24.SquarePlusProduct(element28, element22.Square());
}
element29 = element30.Add(x).Add(element22).Multiply(element30).Add(element31).Add(element26);
if (a.IsZero)
{
element29 = element29.Add(element27);
}
else if (!a.IsOne)
{
element29 = element29.Add(a.AddOne().Multiply(element27));
}
break;
}
default:
throw new InvalidOperationException("unsupported coordinate system");
}
return(new F2mPoint(curve, element26, element29, new ECFieldElement[] { element27 }, base.IsCompressed));
}
public override ECPoint Twice()
{
if (base.IsInfinity)
{
return(this);
}
ECCurve curve = this.Curve;
ECFieldElement rawXCoord = base.RawXCoord;
if (rawXCoord.IsZero)
{
return(curve.Infinity);
}
int coordinateSystem = curve.CoordinateSystem;
int num = coordinateSystem;
switch (num)
{
case 0:
{
ECFieldElement rawYCoord = base.RawYCoord;
ECFieldElement eCFieldElement = rawYCoord.Divide(rawXCoord).Add(rawXCoord);
ECFieldElement x = eCFieldElement.Square().Add(eCFieldElement).Add(curve.A);
ECFieldElement y = rawXCoord.SquarePlusProduct(x, eCFieldElement.AddOne());
return(new F2mPoint(curve, x, y, base.IsCompressed));
}
case 1:
{
ECFieldElement rawYCoord2 = base.RawYCoord;
ECFieldElement eCFieldElement2 = base.RawZCoords[0];
bool isOne = eCFieldElement2.IsOne;
ECFieldElement eCFieldElement3 = isOne ? rawXCoord : rawXCoord.Multiply(eCFieldElement2);
ECFieldElement b = isOne ? rawYCoord2 : rawYCoord2.Multiply(eCFieldElement2);
ECFieldElement eCFieldElement4 = rawXCoord.Square();
ECFieldElement eCFieldElement5 = eCFieldElement4.Add(b);
ECFieldElement eCFieldElement6 = eCFieldElement3;
ECFieldElement eCFieldElement7 = eCFieldElement6.Square();
ECFieldElement eCFieldElement8 = eCFieldElement5.Add(eCFieldElement6);
ECFieldElement eCFieldElement9 = eCFieldElement8.MultiplyPlusProduct(eCFieldElement5, eCFieldElement7, curve.A);
ECFieldElement x2 = eCFieldElement6.Multiply(eCFieldElement9);
ECFieldElement y2 = eCFieldElement4.Square().MultiplyPlusProduct(eCFieldElement6, eCFieldElement9, eCFieldElement8);
ECFieldElement eCFieldElement10 = eCFieldElement6.Multiply(eCFieldElement7);
return(new F2mPoint(curve, x2, y2, new ECFieldElement[]
{
eCFieldElement10
}, base.IsCompressed));
}
default:
{
if (num != 6)
{
throw new InvalidOperationException("unsupported coordinate system");
}
ECFieldElement rawYCoord3 = base.RawYCoord;
ECFieldElement eCFieldElement11 = base.RawZCoords[0];
bool isOne2 = eCFieldElement11.IsOne;
ECFieldElement eCFieldElement12 = isOne2 ? rawYCoord3 : rawYCoord3.Multiply(eCFieldElement11);
ECFieldElement eCFieldElement13 = isOne2 ? eCFieldElement11 : eCFieldElement11.Square();
ECFieldElement a = curve.A;
ECFieldElement eCFieldElement14 = isOne2 ? a : a.Multiply(eCFieldElement13);
ECFieldElement eCFieldElement15 = rawYCoord3.Square().Add(eCFieldElement12).Add(eCFieldElement14);
if (eCFieldElement15.IsZero)
{
return(new F2mPoint(curve, eCFieldElement15, curve.B.Sqrt(), base.IsCompressed));
}
ECFieldElement eCFieldElement16 = eCFieldElement15.Square();
ECFieldElement eCFieldElement17 = isOne2 ? eCFieldElement15 : eCFieldElement15.Multiply(eCFieldElement13);
ECFieldElement b2 = curve.B;
ECFieldElement eCFieldElement19;
if (b2.BitLength < curve.FieldSize >> 1)
{
ECFieldElement eCFieldElement18 = rawYCoord3.Add(rawXCoord).Square();
ECFieldElement b3;
if (b2.IsOne)
{
b3 = eCFieldElement14.Add(eCFieldElement13).Square();
}
else
{
b3 = eCFieldElement14.SquarePlusProduct(b2, eCFieldElement13.Square());
}
eCFieldElement19 = eCFieldElement18.Add(eCFieldElement15).Add(eCFieldElement13).Multiply(eCFieldElement18).Add(b3).Add(eCFieldElement16);
if (a.IsZero)
{
eCFieldElement19 = eCFieldElement19.Add(eCFieldElement17);
}
else if (!a.IsOne)
{
eCFieldElement19 = eCFieldElement19.Add(a.AddOne().Multiply(eCFieldElement17));
}
}
else
{
ECFieldElement eCFieldElement20 = isOne2 ? rawXCoord : rawXCoord.Multiply(eCFieldElement11);
eCFieldElement19 = eCFieldElement20.SquarePlusProduct(eCFieldElement15, eCFieldElement12).Add(eCFieldElement16).Add(eCFieldElement17);
}
return(new F2mPoint(curve, eCFieldElement16, eCFieldElement19, new ECFieldElement[]
{
eCFieldElement17
}, base.IsCompressed));
}
}
}
