Beispiel #1
0
 public override ECFieldElement Sqrt()
 {
     uint[] x = this.x;
     if (Nat192.IsZero(x) || Nat192.IsOne(x))
     {
         return(this);
     }
     uint[] z         = Nat192.Create();
     uint[] numArray3 = Nat192.Create();
     SecP192R1Field.Square(x, z);
     SecP192R1Field.Multiply(z, x, z);
     SecP192R1Field.SquareN(z, 2, numArray3);
     SecP192R1Field.Multiply(numArray3, z, numArray3);
     SecP192R1Field.SquareN(numArray3, 4, z);
     SecP192R1Field.Multiply(z, numArray3, z);
     SecP192R1Field.SquareN(z, 8, numArray3);
     SecP192R1Field.Multiply(numArray3, z, numArray3);
     SecP192R1Field.SquareN(numArray3, 0x10, z);
     SecP192R1Field.Multiply(z, numArray3, z);
     SecP192R1Field.SquareN(z, 0x20, numArray3);
     SecP192R1Field.Multiply(numArray3, z, numArray3);
     SecP192R1Field.SquareN(numArray3, 0x40, z);
     SecP192R1Field.Multiply(z, numArray3, z);
     SecP192R1Field.SquareN(z, 0x3e, z);
     SecP192R1Field.Square(z, numArray3);
     return(!Nat192.Eq(x, numArray3) ? null : new SecP192R1FieldElement(z));
 }
 public override ECFieldElement Sqrt()
 {
     uint[] y = x;
     if (Nat192.IsZero(y) || Nat192.IsOne(y))
     {
         return(this);
     }
     uint[] array  = Nat192.Create();
     uint[] array2 = Nat192.Create();
     SecP192R1Field.Square(y, array);
     SecP192R1Field.Multiply(array, y, array);
     SecP192R1Field.SquareN(array, 2, array2);
     SecP192R1Field.Multiply(array2, array, array2);
     SecP192R1Field.SquareN(array2, 4, array);
     SecP192R1Field.Multiply(array, array2, array);
     SecP192R1Field.SquareN(array, 8, array2);
     SecP192R1Field.Multiply(array2, array, array2);
     SecP192R1Field.SquareN(array2, 16, array);
     SecP192R1Field.Multiply(array, array2, array);
     SecP192R1Field.SquareN(array, 32, array2);
     SecP192R1Field.Multiply(array2, array, array2);
     SecP192R1Field.SquareN(array2, 64, array);
     SecP192R1Field.Multiply(array, array2, array);
     SecP192R1Field.SquareN(array, 62, array);
     SecP192R1Field.Square(array, array2);
     return((!Nat192.Eq(y, array2)) ? null : new SecP192R1FieldElement(array));
 }
 public static void Negate(uint[] x, uint[] z)
 {
     if (Nat192.IsZero(x))
     {
         Nat192.Zero(z);
         return;
     }
     Nat192.Sub(SecP192K1Field.P, x, z);
 }
Beispiel #4
0
 public static void Negate(uint[] x, uint[] z)
 {
     if (Nat192.IsZero(x))
     {
         Nat192.Zero(z);
     }
     else
     {
         Nat192.Sub(P, x, z);
     }
 }
 public override ECFieldElement Sqrt()
 {
     uint[] y = this.x;
     if (Nat192.IsZero(y) || Nat192.IsOne(y))
     {
         return(this);
     }
     uint[] array = Nat192.Create();
     SecP192K1Field.Square(y, array);
     SecP192K1Field.Multiply(array, y, array);
     uint[] array2 = Nat192.Create();
     SecP192K1Field.Square(array, array2);
     SecP192K1Field.Multiply(array2, y, array2);
     uint[] array3 = Nat192.Create();
     SecP192K1Field.SquareN(array2, 3, array3);
     SecP192K1Field.Multiply(array3, array2, array3);
     uint[] array4 = array3;
     SecP192K1Field.SquareN(array3, 2, array4);
     SecP192K1Field.Multiply(array4, array, array4);
     uint[] array5 = array;
     SecP192K1Field.SquareN(array4, 8, array5);
     SecP192K1Field.Multiply(array5, array4, array5);
     uint[] array6 = array4;
     SecP192K1Field.SquareN(array5, 3, array6);
     SecP192K1Field.Multiply(array6, array2, array6);
     uint[] array7 = Nat192.Create();
     SecP192K1Field.SquareN(array6, 16, array7);
     SecP192K1Field.Multiply(array7, array5, array7);
     uint[] array8 = array5;
     SecP192K1Field.SquareN(array7, 35, array8);
     SecP192K1Field.Multiply(array8, array7, array8);
     uint[] z = array7;
     SecP192K1Field.SquareN(array8, 70, z);
     SecP192K1Field.Multiply(z, array8, z);
     uint[] array9 = array8;
     SecP192K1Field.SquareN(z, 19, array9);
     SecP192K1Field.Multiply(array9, array6, array9);
     uint[] z2 = array9;
     SecP192K1Field.SquareN(z2, 20, z2);
     SecP192K1Field.Multiply(z2, array6, z2);
     SecP192K1Field.SquareN(z2, 4, z2);
     SecP192K1Field.Multiply(z2, array2, z2);
     SecP192K1Field.SquareN(z2, 6, z2);
     SecP192K1Field.Multiply(z2, array2, z2);
     SecP192K1Field.Square(z2, z2);
     uint[] array10 = array2;
     SecP192K1Field.Square(z2, array10);
     if (!Nat192.Eq(y, array10))
     {
         return(null);
     }
     return(new SecP192K1FieldElement(z2));
 }
Beispiel #6
0
 public override ECFieldElement Sqrt()
 {
     uint[] x = this.x;
     if (Nat192.IsZero(x) || Nat192.IsOne(x))
     {
         return(this);
     }
     uint[] z = Nat192.Create();
     SecP192K1Field.Square(x, z);
     SecP192K1Field.Multiply(z, x, z);
     uint[] numArray3 = Nat192.Create();
     SecP192K1Field.Square(z, numArray3);
     SecP192K1Field.Multiply(numArray3, x, numArray3);
     uint[] numArray4 = Nat192.Create();
     SecP192K1Field.SquareN(numArray3, 3, numArray4);
     SecP192K1Field.Multiply(numArray4, numArray3, numArray4);
     uint[] numArray5 = numArray4;
     SecP192K1Field.SquareN(numArray4, 2, numArray5);
     SecP192K1Field.Multiply(numArray5, z, numArray5);
     uint[] numArray6 = z;
     SecP192K1Field.SquareN(numArray5, 8, numArray6);
     SecP192K1Field.Multiply(numArray6, numArray5, numArray6);
     uint[] numArray7 = numArray5;
     SecP192K1Field.SquareN(numArray6, 3, numArray7);
     SecP192K1Field.Multiply(numArray7, numArray3, numArray7);
     uint[] numArray8 = Nat192.Create();
     SecP192K1Field.SquareN(numArray7, 0x10, numArray8);
     SecP192K1Field.Multiply(numArray8, numArray6, numArray8);
     uint[] numArray9 = numArray6;
     SecP192K1Field.SquareN(numArray8, 0x23, numArray9);
     SecP192K1Field.Multiply(numArray9, numArray8, numArray9);
     uint[] numArray10 = numArray8;
     SecP192K1Field.SquareN(numArray9, 70, numArray10);
     SecP192K1Field.Multiply(numArray10, numArray9, numArray10);
     uint[] numArray11 = numArray9;
     SecP192K1Field.SquareN(numArray10, 0x13, numArray11);
     SecP192K1Field.Multiply(numArray11, numArray7, numArray11);
     uint[] numArray12 = numArray11;
     SecP192K1Field.SquareN(numArray12, 20, numArray12);
     SecP192K1Field.Multiply(numArray12, numArray7, numArray12);
     SecP192K1Field.SquareN(numArray12, 4, numArray12);
     SecP192K1Field.Multiply(numArray12, numArray3, numArray12);
     SecP192K1Field.SquareN(numArray12, 6, numArray12);
     SecP192K1Field.Multiply(numArray12, numArray3, numArray12);
     SecP192K1Field.Square(numArray12, numArray12);
     uint[] numArray13 = numArray3;
     SecP192K1Field.Square(numArray12, numArray13);
     return(!Nat192.Eq(x, numArray13) ? null : new SecP192K1FieldElement(numArray12));
 }
        /**
         * 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 2^190 - 2^62

            uint[] x1 = this.x;
            if (Nat192.IsZero(x1) || Nat192.IsOne(x1))
            {
                return(this);
            }

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

            SecP192R1Field.Square(x1, t1);
            SecP192R1Field.Multiply(t1, x1, t1);

            SecP192R1Field.SquareN(t1, 2, t2);
            SecP192R1Field.Multiply(t2, t1, t2);

            SecP192R1Field.SquareN(t2, 4, t1);
            SecP192R1Field.Multiply(t1, t2, t1);

            SecP192R1Field.SquareN(t1, 8, t2);
            SecP192R1Field.Multiply(t2, t1, t2);

            SecP192R1Field.SquareN(t2, 16, t1);
            SecP192R1Field.Multiply(t1, t2, t1);

            SecP192R1Field.SquareN(t1, 32, t2);
            SecP192R1Field.Multiply(t2, t1, t2);

            SecP192R1Field.SquareN(t2, 64, t1);
            SecP192R1Field.Multiply(t1, t2, t1);

            SecP192R1Field.SquareN(t1, 62, t1);
            SecP192R1Field.Square(t1, t2);

            return(Nat192.Eq(x1, t2) ? new SecP192R1FieldElement(t1) : null);
        }
        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;

            SecP192K1FieldElement X1 = (SecP192K1FieldElement)this.RawXCoord, Y1 = (SecP192K1FieldElement)this.RawYCoord;
            SecP192K1FieldElement X2 = (SecP192K1FieldElement)b.RawXCoord, Y2 = (SecP192K1FieldElement)b.RawYCoord;

            SecP192K1FieldElement Z1 = (SecP192K1FieldElement)this.RawZCoords[0];
            SecP192K1FieldElement Z2 = (SecP192K1FieldElement)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;
                SecP192K1Field.Square(Z1.x, S2);

                U2 = t2;
                SecP192K1Field.Multiply(S2, X2.x, U2);

                SecP192K1Field.Multiply(S2, Z1.x, S2);
                SecP192K1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;

            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP192K1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP192K1Field.Multiply(S1, X1.x, U1);

                SecP192K1Field.Multiply(S1, Z2.x, S1);
                SecP192K1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat192.Create();
            SecP192K1Field.Subtract(U1, U2, H);

            uint[] R = t2;
            SecP192K1Field.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;
            SecP192K1Field.Square(H, HSquared);

            uint[] G = Nat192.Create();
            SecP192K1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP192K1Field.Multiply(HSquared, U1, V);

            SecP192K1Field.Negate(G, G);
            Nat192.Mul(S1, G, tt1);

            c = Nat192.AddBothTo(V, V, G);
            SecP192K1Field.Reduce32(c, G);

            SecP192K1FieldElement X3 = new SecP192K1FieldElement(t4);

            SecP192K1Field.Square(R, X3.x);
            SecP192K1Field.Subtract(X3.x, G, X3.x);

            SecP192K1FieldElement Y3 = new SecP192K1FieldElement(G);

            SecP192K1Field.Subtract(V, X3.x, Y3.x);
            SecP192K1Field.MultiplyAddToExt(Y3.x, R, tt1);
            SecP192K1Field.Reduce(tt1, Y3.x);

            SecP192K1FieldElement Z3 = new SecP192K1FieldElement(H);

            if (!Z1IsOne)
            {
                SecP192K1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP192K1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

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

            return(new SecP192K1Point(curve, X3, Y3, zs, IsCompressed));
        }
        /**
         * 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 2^190 - 2^30 - 2^10 - 2^6 - 2^5 - 2^4 - 2^1
             *
             * Breaking up the exponent's binary representation into "repunits", we get:
             * { 159 1s } { 1 0s } { 19 1s } { 1 0s } { 3 1s } { 3 0s} { 3 1s } { 1 0s }
             *
             * Therefore we need an addition chain containing 3, 19, 159 (the lengths of the repunits)
             * We use: 1, 2, [3], 6, 8, 16, [19], 35, 70, 140, [159]
             */

            uint[] x1 = this.x;
            if (Nat192.IsZero(x1) || Nat192.IsOne(x1))
            {
                return(this);
            }

            uint[] x2 = Nat192.Create();
            SecP192K1Field.Square(x1, x2);
            SecP192K1Field.Multiply(x2, x1, x2);
            uint[] x3 = Nat192.Create();
            SecP192K1Field.Square(x2, x3);
            SecP192K1Field.Multiply(x3, x1, x3);
            uint[] x6 = Nat192.Create();
            SecP192K1Field.SquareN(x3, 3, x6);
            SecP192K1Field.Multiply(x6, x3, x6);
            uint[] x8 = x6;
            SecP192K1Field.SquareN(x6, 2, x8);
            SecP192K1Field.Multiply(x8, x2, x8);
            uint[] x16 = x2;
            SecP192K1Field.SquareN(x8, 8, x16);
            SecP192K1Field.Multiply(x16, x8, x16);
            uint[] x19 = x8;
            SecP192K1Field.SquareN(x16, 3, x19);
            SecP192K1Field.Multiply(x19, x3, x19);
            uint[] x35 = Nat192.Create();
            SecP192K1Field.SquareN(x19, 16, x35);
            SecP192K1Field.Multiply(x35, x16, x35);
            uint[] x70 = x16;
            SecP192K1Field.SquareN(x35, 35, x70);
            SecP192K1Field.Multiply(x70, x35, x70);
            uint[] x140 = x35;
            SecP192K1Field.SquareN(x70, 70, x140);
            SecP192K1Field.Multiply(x140, x70, x140);
            uint[] x159 = x70;
            SecP192K1Field.SquareN(x140, 19, x159);
            SecP192K1Field.Multiply(x159, x19, x159);

            uint[] t1 = x159;
            SecP192K1Field.SquareN(t1, 20, t1);
            SecP192K1Field.Multiply(t1, x19, t1);
            SecP192K1Field.SquareN(t1, 4, t1);
            SecP192K1Field.Multiply(t1, x3, t1);
            SecP192K1Field.SquareN(t1, 6, t1);
            SecP192K1Field.Multiply(t1, x3, t1);
            SecP192K1Field.Square(t1, t1);

            uint[] t2 = x3;
            SecP192K1Field.Square(t1, t2);

            return(Nat192.Eq(x1, t2) ? new SecP192K1FieldElement(t1) : null);
        }
Beispiel #10
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));
        }
        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;
            SecP192K1FieldElement rawXCoord = (SecP192K1FieldElement)base.RawXCoord;
            SecP192K1FieldElement rawYCoord = (SecP192K1FieldElement)base.RawYCoord;
            SecP192K1FieldElement element3  = (SecP192K1FieldElement)b.RawXCoord;
            SecP192K1FieldElement element4  = (SecP192K1FieldElement)b.RawYCoord;
            SecP192K1FieldElement element5  = (SecP192K1FieldElement)base.RawZCoords[0];
            SecP192K1FieldElement element6  = (SecP192K1FieldElement)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;
                SecP192K1Field.Square(element5.x, numArray6);
                numArray5 = numArray2;
                SecP192K1Field.Multiply(numArray6, element3.x, numArray5);
                SecP192K1Field.Multiply(numArray6, element5.x, numArray6);
                SecP192K1Field.Multiply(numArray6, element4.x, numArray6);
            }
            bool flag2 = element6.IsOne;

            if (flag2)
            {
                numArray7 = rawXCoord.x;
                numArray8 = rawYCoord.x;
            }
            else
            {
                numArray8 = x;
                SecP192K1Field.Square(element6.x, numArray8);
                numArray7 = zz;
                SecP192K1Field.Multiply(numArray8, rawXCoord.x, numArray7);
                SecP192K1Field.Multiply(numArray8, element6.x, numArray8);
                SecP192K1Field.Multiply(numArray8, rawYCoord.x, numArray8);
            }
            uint[] z = Nat192.Create();
            SecP192K1Field.Subtract(numArray7, numArray5, z);
            uint[] numArray10 = numArray2;
            SecP192K1Field.Subtract(numArray8, numArray6, numArray10);
            if (Nat192.IsZero(z))
            {
                if (Nat192.IsZero(numArray10))
                {
                    return(this.Twice());
                }
                return(curve.Infinity);
            }
            uint[] numArray11 = numArray3;
            SecP192K1Field.Square(z, numArray11);
            uint[] numArray12 = Nat192.Create();
            SecP192K1Field.Multiply(numArray11, z, numArray12);
            uint[] numArray13 = numArray3;
            SecP192K1Field.Multiply(numArray11, numArray7, numArray13);
            SecP192K1Field.Negate(numArray12, numArray12);
            Nat192.Mul(numArray8, numArray12, zz);
            SecP192K1Field.Reduce32(Nat192.AddBothTo(numArray13, numArray13, numArray12), numArray12);
            SecP192K1FieldElement element7 = new SecP192K1FieldElement(x);

            SecP192K1Field.Square(numArray10, element7.x);
            SecP192K1Field.Subtract(element7.x, numArray12, element7.x);
            SecP192K1FieldElement y = new SecP192K1FieldElement(numArray12);

            SecP192K1Field.Subtract(numArray13, element7.x, y.x);
            SecP192K1Field.MultiplyAddToExt(y.x, numArray10, zz);
            SecP192K1Field.Reduce(zz, y.x);
            SecP192K1FieldElement element9 = new SecP192K1FieldElement(z);

            if (!isOne)
            {
                SecP192K1Field.Multiply(element9.x, element5.x, element9.x);
            }
            if (!flag2)
            {
                SecP192K1Field.Multiply(element9.x, element6.x, element9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[] { element9 };
            return(new SecP192K1Point(curve, element7, y, zs, base.IsCompressed));
        }