public override ECFieldElement Negate()
 {
     uint[] z = Nat160.Create();
     SecP160R1Field.Negate(x, z);
     return(new SecP160R1FieldElement(z));
 }
Esempio n. 2
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        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;

            SecP160R1FieldElement X1 = (SecP160R1FieldElement)this.RawXCoord, Y1 = (SecP160R1FieldElement)this.RawYCoord;
            SecP160R1FieldElement X2 = (SecP160R1FieldElement)b.RawXCoord, Y2 = (SecP160R1FieldElement)b.RawYCoord;

            SecP160R1FieldElement Z1 = (SecP160R1FieldElement)this.RawZCoords[0];
            SecP160R1FieldElement Z2 = (SecP160R1FieldElement)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;
                SecP160R1Field.Square(Z1.x, S2);

                U2 = t2;
                SecP160R1Field.Multiply(S2, X2.x, U2);

                SecP160R1Field.Multiply(S2, Z1.x, S2);
                SecP160R1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;

            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP160R1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP160R1Field.Multiply(S1, X1.x, U1);

                SecP160R1Field.Multiply(S1, Z2.x, S1);
                SecP160R1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat160.Create();
            SecP160R1Field.Subtract(U1, U2, H);

            uint[] R = t2;
            SecP160R1Field.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;
            SecP160R1Field.Square(H, HSquared);

            uint[] G = Nat160.Create();
            SecP160R1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP160R1Field.Multiply(HSquared, U1, V);

            SecP160R1Field.Negate(G, G);
            Nat160.Mul(S1, G, tt1);

            c = Nat160.AddBothTo(V, V, G);
            SecP160R1Field.Reduce32(c, G);

            SecP160R1FieldElement X3 = new SecP160R1FieldElement(t4);

            SecP160R1Field.Square(R, X3.x);
            SecP160R1Field.Subtract(X3.x, G, X3.x);

            SecP160R1FieldElement Y3 = new SecP160R1FieldElement(G);

            SecP160R1Field.Subtract(V, X3.x, Y3.x);
            SecP160R1Field.MultiplyAddToExt(Y3.x, R, tt1);
            SecP160R1Field.Reduce(tt1, Y3.x);

            SecP160R1FieldElement Z3 = new SecP160R1FieldElement(H);

            if (!Z1IsOne)
            {
                SecP160R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP160R1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

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

            return(new SecP160R1Point(curve, X3, Y3, zs, IsCompressed));
        }
Esempio n. 3
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        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;
            SecP160R1FieldElement secP160R1FieldElement  = (SecP160R1FieldElement)base.RawXCoord;
            SecP160R1FieldElement secP160R1FieldElement2 = (SecP160R1FieldElement)base.RawYCoord;
            SecP160R1FieldElement secP160R1FieldElement3 = (SecP160R1FieldElement)b.RawXCoord;
            SecP160R1FieldElement secP160R1FieldElement4 = (SecP160R1FieldElement)b.RawYCoord;
            SecP160R1FieldElement secP160R1FieldElement5 = (SecP160R1FieldElement)base.RawZCoords[0];
            SecP160R1FieldElement secP160R1FieldElement6 = (SecP160R1FieldElement)b.RawZCoords[0];

            uint[] array  = Nat160.CreateExt();
            uint[] array2 = Nat160.Create();
            uint[] array3 = Nat160.Create();
            uint[] array4 = Nat160.Create();
            bool   isOne  = secP160R1FieldElement5.IsOne;

            uint[] array5;
            uint[] array6;
            if (isOne)
            {
                array5 = secP160R1FieldElement3.x;
                array6 = secP160R1FieldElement4.x;
            }
            else
            {
                array6 = array3;
                SecP160R1Field.Square(secP160R1FieldElement5.x, array6);
                array5 = array2;
                SecP160R1Field.Multiply(array6, secP160R1FieldElement3.x, array5);
                SecP160R1Field.Multiply(array6, secP160R1FieldElement5.x, array6);
                SecP160R1Field.Multiply(array6, secP160R1FieldElement4.x, array6);
            }
            bool isOne2 = secP160R1FieldElement6.IsOne;

            uint[] array7;
            uint[] array8;
            if (isOne2)
            {
                array7 = secP160R1FieldElement.x;
                array8 = secP160R1FieldElement2.x;
            }
            else
            {
                array8 = array4;
                SecP160R1Field.Square(secP160R1FieldElement6.x, array8);
                array7 = array;
                SecP160R1Field.Multiply(array8, secP160R1FieldElement.x, array7);
                SecP160R1Field.Multiply(array8, secP160R1FieldElement6.x, array8);
                SecP160R1Field.Multiply(array8, secP160R1FieldElement2.x, array8);
            }
            uint[] array9 = Nat160.Create();
            SecP160R1Field.Subtract(array7, array5, array9);
            uint[] array10 = array2;
            SecP160R1Field.Subtract(array8, array6, array10);
            if (!Nat160.IsZero(array9))
            {
                uint[] array11 = array3;
                SecP160R1Field.Square(array9, array11);
                uint[] array12 = Nat160.Create();
                SecP160R1Field.Multiply(array11, array9, array12);
                uint[] array13 = array3;
                SecP160R1Field.Multiply(array11, array7, array13);
                SecP160R1Field.Negate(array12, array12);
                Nat160.Mul(array8, array12, array);
                uint x = Nat160.AddBothTo(array13, array13, array12);
                SecP160R1Field.Reduce32(x, array12);
                SecP160R1FieldElement secP160R1FieldElement7 = new SecP160R1FieldElement(array4);
                SecP160R1Field.Square(array10, secP160R1FieldElement7.x);
                SecP160R1Field.Subtract(secP160R1FieldElement7.x, array12, secP160R1FieldElement7.x);
                SecP160R1FieldElement secP160R1FieldElement8 = new SecP160R1FieldElement(array12);
                SecP160R1Field.Subtract(array13, secP160R1FieldElement7.x, secP160R1FieldElement8.x);
                SecP160R1Field.MultiplyAddToExt(secP160R1FieldElement8.x, array10, array);
                SecP160R1Field.Reduce(array, secP160R1FieldElement8.x);
                SecP160R1FieldElement secP160R1FieldElement9 = new SecP160R1FieldElement(array9);
                if (!isOne)
                {
                    SecP160R1Field.Multiply(secP160R1FieldElement9.x, secP160R1FieldElement5.x, secP160R1FieldElement9.x);
                }
                if (!isOne2)
                {
                    SecP160R1Field.Multiply(secP160R1FieldElement9.x, secP160R1FieldElement6.x, secP160R1FieldElement9.x);
                }
                ECFieldElement[] zs = new ECFieldElement[]
                {
                    secP160R1FieldElement9
                };
                return(new SecP160R1Point(curve, secP160R1FieldElement7, secP160R1FieldElement8, zs, base.IsCompressed));
            }
            if (Nat160.IsZero(array10))
            {
                return(this.Twice());
            }
            return(curve.Infinity);
        }
Esempio n. 4
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        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;
            SecP160R1FieldElement rawXCoord = (SecP160R1FieldElement)base.RawXCoord;
            SecP160R1FieldElement rawYCoord = (SecP160R1FieldElement)base.RawYCoord;
            SecP160R1FieldElement element3  = (SecP160R1FieldElement)b.RawXCoord;
            SecP160R1FieldElement element4  = (SecP160R1FieldElement)b.RawYCoord;
            SecP160R1FieldElement element5  = (SecP160R1FieldElement)base.RawZCoords[0];
            SecP160R1FieldElement element6  = (SecP160R1FieldElement)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;
                SecP160R1Field.Square(element5.x, numArray6);
                numArray5 = numArray2;
                SecP160R1Field.Multiply(numArray6, element3.x, numArray5);
                SecP160R1Field.Multiply(numArray6, element5.x, numArray6);
                SecP160R1Field.Multiply(numArray6, element4.x, numArray6);
            }
            bool flag2 = element6.IsOne;

            if (flag2)
            {
                numArray7 = rawXCoord.x;
                numArray8 = rawYCoord.x;
            }
            else
            {
                numArray8 = x;
                SecP160R1Field.Square(element6.x, numArray8);
                numArray7 = zz;
                SecP160R1Field.Multiply(numArray8, rawXCoord.x, numArray7);
                SecP160R1Field.Multiply(numArray8, element6.x, numArray8);
                SecP160R1Field.Multiply(numArray8, rawYCoord.x, numArray8);
            }
            uint[] z = Nat160.Create();
            SecP160R1Field.Subtract(numArray7, numArray5, z);
            uint[] numArray10 = numArray2;
            SecP160R1Field.Subtract(numArray8, numArray6, numArray10);
            if (Nat160.IsZero(z))
            {
                if (Nat160.IsZero(numArray10))
                {
                    return(this.Twice());
                }
                return(curve.Infinity);
            }
            uint[] numArray11 = numArray3;
            SecP160R1Field.Square(z, numArray11);
            uint[] numArray12 = Nat160.Create();
            SecP160R1Field.Multiply(numArray11, z, numArray12);
            uint[] numArray13 = numArray3;
            SecP160R1Field.Multiply(numArray11, numArray7, numArray13);
            SecP160R1Field.Negate(numArray12, numArray12);
            Nat160.Mul(numArray8, numArray12, zz);
            SecP160R1Field.Reduce32(Nat160.AddBothTo(numArray13, numArray13, numArray12), numArray12);
            SecP160R1FieldElement element7 = new SecP160R1FieldElement(x);

            SecP160R1Field.Square(numArray10, element7.x);
            SecP160R1Field.Subtract(element7.x, numArray12, element7.x);
            SecP160R1FieldElement y = new SecP160R1FieldElement(numArray12);

            SecP160R1Field.Subtract(numArray13, element7.x, y.x);
            SecP160R1Field.MultiplyAddToExt(y.x, numArray10, zz);
            SecP160R1Field.Reduce(zz, y.x);
            SecP160R1FieldElement element9 = new SecP160R1FieldElement(z);

            if (!isOne)
            {
                SecP160R1Field.Multiply(element9.x, element5.x, element9.x);
            }
            if (!flag2)
            {
                SecP160R1Field.Multiply(element9.x, element6.x, element9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[] { element9 };
            return(new SecP160R1Point(curve, element7, y, zs, base.IsCompressed));
        }