public virtual bool Equals(SecP192R1FieldElement other)
 {
     if (this == other)
         return true;
     if (null == other)
         return false;
     return Nat192.Eq(x, other.x);
 }
Beispiel #2
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = this.Curve;
            SecP192R1FieldElement rawYCoord = (SecP192R1FieldElement)base.RawYCoord;

            if (rawYCoord.IsZero)
            {
                return(curve.Infinity);
            }
            SecP192R1FieldElement rawXCoord = (SecP192R1FieldElement)base.RawXCoord;
            SecP192R1FieldElement element3  = (SecP192R1FieldElement)base.RawZCoords[0];

            uint[] z         = Nat192.Create();
            uint[] numArray2 = Nat192.Create();
            uint[] numArray3 = Nat192.Create();
            SecP192R1Field.Square(rawYCoord.x, numArray3);
            uint[] numArray4 = Nat192.Create();
            SecP192R1Field.Square(numArray3, numArray4);
            bool isOne = element3.IsOne;

            uint[] x = element3.x;
            if (!isOne)
            {
                x = numArray2;
                SecP192R1Field.Square(element3.x, x);
            }
            SecP192R1Field.Subtract(rawXCoord.x, x, z);
            uint[] numArray6 = numArray2;
            SecP192R1Field.Add(rawXCoord.x, x, numArray6);
            SecP192R1Field.Multiply(numArray6, z, numArray6);
            SecP192R1Field.Reduce32(Nat192.AddBothTo(numArray6, numArray6, numArray6), numArray6);
            uint[] numArray7 = numArray3;
            SecP192R1Field.Multiply(numArray3, rawXCoord.x, numArray7);
            SecP192R1Field.Reduce32(Nat.ShiftUpBits(6, numArray7, 2, 0), numArray7);
            SecP192R1Field.Reduce32(Nat.ShiftUpBits(6, numArray4, 3, 0, z), z);
            SecP192R1FieldElement element4 = new SecP192R1FieldElement(numArray4);

            SecP192R1Field.Square(numArray6, element4.x);
            SecP192R1Field.Subtract(element4.x, numArray7, element4.x);
            SecP192R1Field.Subtract(element4.x, numArray7, element4.x);
            SecP192R1FieldElement y = new SecP192R1FieldElement(numArray7);

            SecP192R1Field.Subtract(numArray7, element4.x, y.x);
            SecP192R1Field.Multiply(y.x, numArray6, y.x);
            SecP192R1Field.Subtract(y.x, z, y.x);
            SecP192R1FieldElement element6 = new SecP192R1FieldElement(numArray6);

            SecP192R1Field.Twice(rawYCoord.x, element6.x);
            if (!isOne)
            {
                SecP192R1Field.Multiply(element6.x, element3.x, element6.x);
            }
            return(new SecP192R1Point(curve, element4, y, new ECFieldElement[] { element6 }, base.IsCompressed));
        }
 public virtual bool Equals(SecP192R1FieldElement other)
 {
     if (this == other)
     {
         return(true);
     }
     if (null == other)
     {
         return(false);
     }
     return(Nat192.Eq(x, other.x));
 }
Beispiel #4
0
        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;

            SecP192R1FieldElement X1 = (SecP192R1FieldElement)this.RawXCoord, Y1 = (SecP192R1FieldElement)this.RawYCoord;
            SecP192R1FieldElement X2 = (SecP192R1FieldElement)b.RawXCoord, Y2 = (SecP192R1FieldElement)b.RawYCoord;

            SecP192R1FieldElement Z1 = (SecP192R1FieldElement)this.RawZCoords[0];
            SecP192R1FieldElement Z2 = (SecP192R1FieldElement)b.RawZCoords[0];

            uint[] tt1 = Nat192.CreateExt();
            uint[] tt2 = Nat192.CreateExt();
            uint[] t3 = Nat192.Create();
            uint[] t4 = Nat192.Create();

            bool Z1IsOne = Z1.IsOne;
            uint[] U2, S2;
            if (Z1IsOne)
            {
                U2 = X2.x;
                S2 = Y2.x;
            }
            else
            {
                S2 = t3;
                SecP192R1Field.Square(Z1.x, S2);

                U2 = tt2;
                SecP192R1Field.Multiply(S2, X2.x, U2);

                SecP192R1Field.Multiply(S2, Z1.x, S2);
                SecP192R1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;
            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP192R1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP192R1Field.Multiply(S1, X1.x, U1);

                SecP192R1Field.Multiply(S1, Z2.x, S1);
                SecP192R1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat192.Create();
            SecP192R1Field.Subtract(U1, U2, H);

            uint[] R = tt2;
            SecP192R1Field.Subtract(S1, S2, R);

            // Check if b == this or b == -this
            if (Nat192.IsZero(H))
            {
                if (Nat192.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;
            SecP192R1Field.Square(H, HSquared);

            uint[] G = Nat192.Create();
            SecP192R1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP192R1Field.Multiply(HSquared, U1, V);

            Nat192.Mul(S1, G, tt1);

            SecP192R1FieldElement X3 = new SecP192R1FieldElement(t4);
            SecP192R1Field.Square(R, X3.x);
            SecP192R1Field.Add(X3.x, G, X3.x);
            SecP192R1Field.Subtract(X3.x, V, X3.x);
            SecP192R1Field.Subtract(X3.x, V, X3.x);

            SecP192R1FieldElement Y3 = new SecP192R1FieldElement(G);
            SecP192R1Field.Subtract(V, X3.x, Y3.x);
            Nat192.Mul(Y3.x, R, tt2);
            SecP192R1Field.SubtractExt(tt2, tt1, tt2);
            SecP192R1Field.Reduce(tt2, Y3.x);

            SecP192R1FieldElement Z3 = new SecP192R1FieldElement(H);
            if (!Z1IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

            ECFieldElement[] zs = new ECFieldElement[] { Z3 };

            return new SecP192R1Point(curve, X3, Y3, zs, IsCompressed);
        }
Beispiel #5
0
        public override ECPoint Twice()
        {
            if (this.IsInfinity)
                return this;

            ECCurve curve = this.Curve;

            SecP192R1FieldElement Y1 = (SecP192R1FieldElement)this.RawYCoord;
            if (Y1.IsZero)
                return curve.Infinity;

            SecP192R1FieldElement X1 = (SecP192R1FieldElement)this.RawXCoord, Z1 = (SecP192R1FieldElement)this.RawZCoords[0];

            uint[] t1 = Nat192.Create();
            uint[] t2 = Nat192.Create();

            uint[] Y1Squared = Nat192.Create();
            SecP192R1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat192.Create();
            SecP192R1Field.Square(Y1Squared, T);

            bool Z1IsOne = Z1.IsOne;

            uint[] Z1Squared = Z1.x;
            if (!Z1IsOne)
            {
                Z1Squared = t2;
                SecP192R1Field.Square(Z1.x, Z1Squared);
            }

            SecP192R1Field.Subtract(X1.x, Z1Squared, t1);

            uint[] M = t2;
            SecP192R1Field.Add(X1.x, Z1Squared, M);
            SecP192R1Field.Multiply(M, t1, M);
            SecP192R1Field.Twice(M, t1);
            SecP192R1Field.Add(M, t1, M);

            uint[] S = Y1Squared;
            SecP192R1Field.Multiply(Y1Squared, X1.x, S);
            uint c = Nat.ShiftUpBits(6, S, 2, 0);
            SecP192R1Field.Reduce32(c, S);

            c = Nat.ShiftUpBits(6, T, 3, 0, t1);
            SecP192R1Field.Reduce32(c, t1);

            SecP192R1FieldElement X3 = new SecP192R1FieldElement(T);
            SecP192R1Field.Square(M, X3.x);
            SecP192R1Field.Subtract(X3.x, S, X3.x);
            SecP192R1Field.Subtract(X3.x, S, X3.x);

            SecP192R1FieldElement Y3 = new SecP192R1FieldElement(S);
            SecP192R1Field.Subtract(S, X3.x, Y3.x);
            SecP192R1Field.Multiply(Y3.x, M, Y3.x);
            SecP192R1Field.Subtract(Y3.x, t1, Y3.x);

            SecP192R1FieldElement Z3 = new SecP192R1FieldElement(M);
            SecP192R1Field.Twice(Y1.x, Z3.x);
            if (!Z1IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return new SecP192R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed);
        }
 public virtual bool Equals(SecP192R1FieldElement other)
 {
     if (this == other)
         return true;
     if (null == other)
         return false;
     return Nat192.Eq(x, other.x);
 }
        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;

            SecP192R1FieldElement X1 = (SecP192R1FieldElement)this.RawXCoord, Y1 = (SecP192R1FieldElement)this.RawYCoord;
            SecP192R1FieldElement X2 = (SecP192R1FieldElement)b.RawXCoord, Y2 = (SecP192R1FieldElement)b.RawYCoord;

            SecP192R1FieldElement Z1 = (SecP192R1FieldElement)this.RawZCoords[0];
            SecP192R1FieldElement Z2 = (SecP192R1FieldElement)b.RawZCoords[0];

            uint c;

            uint[] tt1 = Nat192.CreateExt();
            uint[] t2  = Nat192.Create();
            uint[] t3  = Nat192.Create();
            uint[] t4  = Nat192.Create();

            bool Z1IsOne = Z1.IsOne;

            uint[] U2, S2;
            if (Z1IsOne)
            {
                U2 = X2.x;
                S2 = Y2.x;
            }
            else
            {
                S2 = t3;
                SecP192R1Field.Square(Z1.x, S2);

                U2 = t2;
                SecP192R1Field.Multiply(S2, X2.x, U2);

                SecP192R1Field.Multiply(S2, Z1.x, S2);
                SecP192R1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;

            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP192R1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP192R1Field.Multiply(S1, X1.x, U1);

                SecP192R1Field.Multiply(S1, Z2.x, S1);
                SecP192R1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat192.Create();
            SecP192R1Field.Subtract(U1, U2, H);

            uint[] R = t2;
            SecP192R1Field.Subtract(S1, S2, R);

            // Check if b == this or b == -this
            if (Nat192.IsZero(H))
            {
                if (Nat192.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;
            SecP192R1Field.Square(H, HSquared);

            uint[] G = Nat192.Create();
            SecP192R1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP192R1Field.Multiply(HSquared, U1, V);

            SecP192R1Field.Negate(G, G);
            Nat192.Mul(S1, G, tt1);

            c = Nat192.AddBothTo(V, V, G);
            SecP192R1Field.Reduce32(c, G);

            SecP192R1FieldElement X3 = new SecP192R1FieldElement(t4);

            SecP192R1Field.Square(R, X3.x);
            SecP192R1Field.Subtract(X3.x, G, X3.x);

            SecP192R1FieldElement Y3 = new SecP192R1FieldElement(G);

            SecP192R1Field.Subtract(V, X3.x, Y3.x);
            SecP192R1Field.MultiplyAddToExt(Y3.x, R, tt1);
            SecP192R1Field.Reduce(tt1, Y3.x);

            SecP192R1FieldElement Z3 = new SecP192R1FieldElement(H);

            if (!Z1IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

            ECFieldElement[] zs = new ECFieldElement[] { Z3 };

            return(new SecP192R1Point(curve, X3, Y3, zs, IsCompressed));
        }
        public override ECPoint Twice()
        {
            if (this.IsInfinity)
            {
                return(this);
            }

            ECCurve curve = this.Curve;

            SecP192R1FieldElement Y1 = (SecP192R1FieldElement)this.RawYCoord;

            if (Y1.IsZero)
            {
                return(curve.Infinity);
            }

            SecP192R1FieldElement X1 = (SecP192R1FieldElement)this.RawXCoord, Z1 = (SecP192R1FieldElement)this.RawZCoords[0];

            uint c;

            uint[] t1 = Nat192.Create();
            uint[] t2 = Nat192.Create();

            uint[] Y1Squared = Nat192.Create();
            SecP192R1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat192.Create();
            SecP192R1Field.Square(Y1Squared, T);

            bool Z1IsOne = Z1.IsOne;

            uint[] Z1Squared = Z1.x;
            if (!Z1IsOne)
            {
                Z1Squared = t2;
                SecP192R1Field.Square(Z1.x, Z1Squared);
            }

            SecP192R1Field.Subtract(X1.x, Z1Squared, t1);

            uint[] M = t2;
            SecP192R1Field.Add(X1.x, Z1Squared, M);
            SecP192R1Field.Multiply(M, t1, M);
            c = Nat192.AddBothTo(M, M, M);
            SecP192R1Field.Reduce32(c, M);

            uint[] S = Y1Squared;
            SecP192R1Field.Multiply(Y1Squared, X1.x, S);
            c = Nat.ShiftUpBits(6, S, 2, 0);
            SecP192R1Field.Reduce32(c, S);

            c = Nat.ShiftUpBits(6, T, 3, 0, t1);
            SecP192R1Field.Reduce32(c, t1);

            SecP192R1FieldElement X3 = new SecP192R1FieldElement(T);

            SecP192R1Field.Square(M, X3.x);
            SecP192R1Field.Subtract(X3.x, S, X3.x);
            SecP192R1Field.Subtract(X3.x, S, X3.x);

            SecP192R1FieldElement Y3 = new SecP192R1FieldElement(S);

            SecP192R1Field.Subtract(S, X3.x, Y3.x);
            SecP192R1Field.Multiply(Y3.x, M, Y3.x);
            SecP192R1Field.Subtract(Y3.x, t1, Y3.x);

            SecP192R1FieldElement Z3 = new SecP192R1FieldElement(M);

            SecP192R1Field.Twice(Y1.x, Z3.x);
            if (!Z1IsOne)
            {
                SecP192R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return(new SecP192R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed));
        }
Beispiel #9
0
        public override ECPoint Add(ECPoint b)
        {
            if (base.IsInfinity)
            {
                return(b);
            }
            if (b.IsInfinity)
            {
                return(this);
            }
            if (this == b)
            {
                return(Twice());
            }
            ECCurve curve = Curve;
            SecP192R1FieldElement secP192R1FieldElement  = (SecP192R1FieldElement)base.RawXCoord;
            SecP192R1FieldElement secP192R1FieldElement2 = (SecP192R1FieldElement)base.RawYCoord;
            SecP192R1FieldElement secP192R1FieldElement3 = (SecP192R1FieldElement)b.RawXCoord;
            SecP192R1FieldElement secP192R1FieldElement4 = (SecP192R1FieldElement)b.RawYCoord;
            SecP192R1FieldElement secP192R1FieldElement5 = (SecP192R1FieldElement)base.RawZCoords[0];
            SecP192R1FieldElement secP192R1FieldElement6 = (SecP192R1FieldElement)b.RawZCoords[0];

            uint[] array  = Nat192.CreateExt();
            uint[] array2 = Nat192.Create();
            uint[] array3 = Nat192.Create();
            uint[] array4 = Nat192.Create();
            bool   isOne  = secP192R1FieldElement5.IsOne;

            uint[] array5;
            uint[] array6;
            if (isOne)
            {
                array5 = secP192R1FieldElement3.x;
                array6 = secP192R1FieldElement4.x;
            }
            else
            {
                array6 = array3;
                SecP192R1Field.Square(secP192R1FieldElement5.x, array6);
                array5 = array2;
                SecP192R1Field.Multiply(array6, secP192R1FieldElement3.x, array5);
                SecP192R1Field.Multiply(array6, secP192R1FieldElement5.x, array6);
                SecP192R1Field.Multiply(array6, secP192R1FieldElement4.x, array6);
            }
            bool isOne2 = secP192R1FieldElement6.IsOne;

            uint[] array7;
            uint[] array8;
            if (isOne2)
            {
                array7 = secP192R1FieldElement.x;
                array8 = secP192R1FieldElement2.x;
            }
            else
            {
                array8 = array4;
                SecP192R1Field.Square(secP192R1FieldElement6.x, array8);
                array7 = array;
                SecP192R1Field.Multiply(array8, secP192R1FieldElement.x, array7);
                SecP192R1Field.Multiply(array8, secP192R1FieldElement6.x, array8);
                SecP192R1Field.Multiply(array8, secP192R1FieldElement2.x, array8);
            }
            uint[] array9 = Nat192.Create();
            SecP192R1Field.Subtract(array7, array5, array9);
            uint[] array10 = array2;
            SecP192R1Field.Subtract(array8, array6, array10);
            if (Nat192.IsZero(array9))
            {
                if (Nat192.IsZero(array10))
                {
                    return(Twice());
                }
                return(curve.Infinity);
            }
            uint[] array11 = array3;
            SecP192R1Field.Square(array9, array11);
            uint[] array12 = Nat192.Create();
            SecP192R1Field.Multiply(array11, array9, array12);
            uint[] array13 = array3;
            SecP192R1Field.Multiply(array11, array7, array13);
            SecP192R1Field.Negate(array12, array12);
            Nat192.Mul(array8, array12, array);
            uint x = Nat192.AddBothTo(array13, array13, array12);

            SecP192R1Field.Reduce32(x, array12);
            SecP192R1FieldElement secP192R1FieldElement7 = new SecP192R1FieldElement(array4);

            SecP192R1Field.Square(array10, secP192R1FieldElement7.x);
            SecP192R1Field.Subtract(secP192R1FieldElement7.x, array12, secP192R1FieldElement7.x);
            SecP192R1FieldElement secP192R1FieldElement8 = new SecP192R1FieldElement(array12);

            SecP192R1Field.Subtract(array13, secP192R1FieldElement7.x, secP192R1FieldElement8.x);
            SecP192R1Field.MultiplyAddToExt(secP192R1FieldElement8.x, array10, array);
            SecP192R1Field.Reduce(array, secP192R1FieldElement8.x);
            SecP192R1FieldElement secP192R1FieldElement9 = new SecP192R1FieldElement(array9);

            if (!isOne)
            {
                SecP192R1Field.Multiply(secP192R1FieldElement9.x, secP192R1FieldElement5.x, secP192R1FieldElement9.x);
            }
            if (!isOne2)
            {
                SecP192R1Field.Multiply(secP192R1FieldElement9.x, secP192R1FieldElement6.x, secP192R1FieldElement9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[1] {
                secP192R1FieldElement9
            };
            return(new SecP192R1Point(curve, secP192R1FieldElement7, secP192R1FieldElement8, zs, base.IsCompressed));
        }
Beispiel #10
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = Curve;
            SecP192R1FieldElement secP192R1FieldElement = (SecP192R1FieldElement)base.RawYCoord;

            if (secP192R1FieldElement.IsZero)
            {
                return(curve.Infinity);
            }
            SecP192R1FieldElement secP192R1FieldElement2 = (SecP192R1FieldElement)base.RawXCoord;
            SecP192R1FieldElement secP192R1FieldElement3 = (SecP192R1FieldElement)base.RawZCoords[0];

            uint[] array  = Nat192.Create();
            uint[] array2 = Nat192.Create();
            uint[] array3 = Nat192.Create();
            SecP192R1Field.Square(secP192R1FieldElement.x, array3);
            uint[] array4 = Nat192.Create();
            SecP192R1Field.Square(array3, array4);
            bool isOne = secP192R1FieldElement3.IsOne;

            uint[] array5 = secP192R1FieldElement3.x;
            if (!isOne)
            {
                array5 = array2;
                SecP192R1Field.Square(secP192R1FieldElement3.x, array5);
            }
            SecP192R1Field.Subtract(secP192R1FieldElement2.x, array5, array);
            uint[] array6 = array2;
            SecP192R1Field.Add(secP192R1FieldElement2.x, array5, array6);
            SecP192R1Field.Multiply(array6, array, array6);
            uint x = Nat192.AddBothTo(array6, array6, array6);

            SecP192R1Field.Reduce32(x, array6);
            uint[] array7 = array3;
            SecP192R1Field.Multiply(array3, secP192R1FieldElement2.x, array7);
            x = Nat.ShiftUpBits(6, array7, 2, 0u);
            SecP192R1Field.Reduce32(x, array7);
            x = Nat.ShiftUpBits(6, array4, 3, 0u, array);
            SecP192R1Field.Reduce32(x, array);
            SecP192R1FieldElement secP192R1FieldElement4 = new SecP192R1FieldElement(array4);

            SecP192R1Field.Square(array6, secP192R1FieldElement4.x);
            SecP192R1Field.Subtract(secP192R1FieldElement4.x, array7, secP192R1FieldElement4.x);
            SecP192R1Field.Subtract(secP192R1FieldElement4.x, array7, secP192R1FieldElement4.x);
            SecP192R1FieldElement secP192R1FieldElement5 = new SecP192R1FieldElement(array7);

            SecP192R1Field.Subtract(array7, secP192R1FieldElement4.x, secP192R1FieldElement5.x);
            SecP192R1Field.Multiply(secP192R1FieldElement5.x, array6, secP192R1FieldElement5.x);
            SecP192R1Field.Subtract(secP192R1FieldElement5.x, array, secP192R1FieldElement5.x);
            SecP192R1FieldElement secP192R1FieldElement6 = new SecP192R1FieldElement(array6);

            SecP192R1Field.Twice(secP192R1FieldElement.x, secP192R1FieldElement6.x);
            if (!isOne)
            {
                SecP192R1Field.Multiply(secP192R1FieldElement6.x, secP192R1FieldElement3.x, secP192R1FieldElement6.x);
            }
            return(new SecP192R1Point(curve, secP192R1FieldElement4, secP192R1FieldElement5, new ECFieldElement[1] {
                secP192R1FieldElement6
            }, base.IsCompressed));
        }
 public virtual bool Equals(SecP192R1FieldElement other)
 {
     return(this == other || (other != null && Nat192.Eq(this.x, other.x)));
 }
Beispiel #12
0
        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;
            SecP192R1FieldElement rawXCoord = (SecP192R1FieldElement)base.RawXCoord;
            SecP192R1FieldElement rawYCoord = (SecP192R1FieldElement)base.RawYCoord;
            SecP192R1FieldElement element3  = (SecP192R1FieldElement)b.RawXCoord;
            SecP192R1FieldElement element4  = (SecP192R1FieldElement)b.RawYCoord;
            SecP192R1FieldElement element5  = (SecP192R1FieldElement)base.RawZCoords[0];
            SecP192R1FieldElement element6  = (SecP192R1FieldElement)b.RawZCoords[0];

            uint[] zz        = Nat192.CreateExt();
            uint[] numArray2 = Nat192.Create();
            uint[] numArray3 = Nat192.Create();
            uint[] x         = Nat192.Create();
            bool   isOne     = element5.IsOne;

            if (isOne)
            {
                numArray5 = element3.x;
                numArray6 = element4.x;
            }
            else
            {
                numArray6 = numArray3;
                SecP192R1Field.Square(element5.x, numArray6);
                numArray5 = numArray2;
                SecP192R1Field.Multiply(numArray6, element3.x, numArray5);
                SecP192R1Field.Multiply(numArray6, element5.x, numArray6);
                SecP192R1Field.Multiply(numArray6, element4.x, numArray6);
            }
            bool flag2 = element6.IsOne;

            if (flag2)
            {
                numArray7 = rawXCoord.x;
                numArray8 = rawYCoord.x;
            }
            else
            {
                numArray8 = x;
                SecP192R1Field.Square(element6.x, numArray8);
                numArray7 = zz;
                SecP192R1Field.Multiply(numArray8, rawXCoord.x, numArray7);
                SecP192R1Field.Multiply(numArray8, element6.x, numArray8);
                SecP192R1Field.Multiply(numArray8, rawYCoord.x, numArray8);
            }
            uint[] z = Nat192.Create();
            SecP192R1Field.Subtract(numArray7, numArray5, z);
            uint[] numArray10 = numArray2;
            SecP192R1Field.Subtract(numArray8, numArray6, numArray10);
            if (Nat192.IsZero(z))
            {
                if (Nat192.IsZero(numArray10))
                {
                    return(this.Twice());
                }
                return(curve.Infinity);
            }
            uint[] numArray11 = numArray3;
            SecP192R1Field.Square(z, numArray11);
            uint[] numArray12 = Nat192.Create();
            SecP192R1Field.Multiply(numArray11, z, numArray12);
            uint[] numArray13 = numArray3;
            SecP192R1Field.Multiply(numArray11, numArray7, numArray13);
            SecP192R1Field.Negate(numArray12, numArray12);
            Nat192.Mul(numArray8, numArray12, zz);
            SecP192R1Field.Reduce32(Nat192.AddBothTo(numArray13, numArray13, numArray12), numArray12);
            SecP192R1FieldElement element7 = new SecP192R1FieldElement(x);

            SecP192R1Field.Square(numArray10, element7.x);
            SecP192R1Field.Subtract(element7.x, numArray12, element7.x);
            SecP192R1FieldElement y = new SecP192R1FieldElement(numArray12);

            SecP192R1Field.Subtract(numArray13, element7.x, y.x);
            SecP192R1Field.MultiplyAddToExt(y.x, numArray10, zz);
            SecP192R1Field.Reduce(zz, y.x);
            SecP192R1FieldElement element9 = new SecP192R1FieldElement(z);

            if (!isOne)
            {
                SecP192R1Field.Multiply(element9.x, element5.x, element9.x);
            }
            if (!flag2)
            {
                SecP192R1Field.Multiply(element9.x, element6.x, element9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[] { element9 };
            return(new SecP192R1Point(curve, element7, y, zs, base.IsCompressed));
        }