Exemplo n.º 1
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = Curve;
            SecP521R1FieldElement secP521R1FieldElement = (SecP521R1FieldElement)base.RawYCoord;

            if (secP521R1FieldElement.IsZero)
            {
                return(curve.Infinity);
            }
            SecP521R1FieldElement secP521R1FieldElement2 = (SecP521R1FieldElement)base.RawXCoord;
            SecP521R1FieldElement secP521R1FieldElement3 = (SecP521R1FieldElement)base.RawZCoords[0];

            uint[] array  = Nat.Create(17);
            uint[] array2 = Nat.Create(17);
            uint[] array3 = Nat.Create(17);
            SecP521R1Field.Square(secP521R1FieldElement.x, array3);
            uint[] array4 = Nat.Create(17);
            SecP521R1Field.Square(array3, array4);
            bool isOne = secP521R1FieldElement3.IsOne;

            uint[] array5 = secP521R1FieldElement3.x;
            if (!isOne)
            {
                array5 = array2;
                SecP521R1Field.Square(secP521R1FieldElement3.x, array5);
            }
            SecP521R1Field.Subtract(secP521R1FieldElement2.x, array5, array);
            uint[] array6 = array2;
            SecP521R1Field.Add(secP521R1FieldElement2.x, array5, array6);
            SecP521R1Field.Multiply(array6, array, array6);
            Nat.AddBothTo(17, array6, array6, array6);
            SecP521R1Field.Reduce23(array6);
            uint[] array7 = array3;
            SecP521R1Field.Multiply(array3, secP521R1FieldElement2.x, array7);
            Nat.ShiftUpBits(17, array7, 2, 0u);
            SecP521R1Field.Reduce23(array7);
            Nat.ShiftUpBits(17, array4, 3, 0u, array);
            SecP521R1Field.Reduce23(array);
            SecP521R1FieldElement secP521R1FieldElement4 = new SecP521R1FieldElement(array4);

            SecP521R1Field.Square(array6, secP521R1FieldElement4.x);
            SecP521R1Field.Subtract(secP521R1FieldElement4.x, array7, secP521R1FieldElement4.x);
            SecP521R1Field.Subtract(secP521R1FieldElement4.x, array7, secP521R1FieldElement4.x);
            SecP521R1FieldElement secP521R1FieldElement5 = new SecP521R1FieldElement(array7);

            SecP521R1Field.Subtract(array7, secP521R1FieldElement4.x, secP521R1FieldElement5.x);
            SecP521R1Field.Multiply(secP521R1FieldElement5.x, array6, secP521R1FieldElement5.x);
            SecP521R1Field.Subtract(secP521R1FieldElement5.x, array, secP521R1FieldElement5.x);
            SecP521R1FieldElement secP521R1FieldElement6 = new SecP521R1FieldElement(array6);

            SecP521R1Field.Twice(secP521R1FieldElement.x, secP521R1FieldElement6.x);
            if (!isOne)
            {
                SecP521R1Field.Multiply(secP521R1FieldElement6.x, secP521R1FieldElement3.x, secP521R1FieldElement6.x);
            }
            return(new SecP521R1Point(curve, secP521R1FieldElement4, secP521R1FieldElement5, new ECFieldElement[1]
            {
                secP521R1FieldElement6
            }, base.IsCompressed));
        }
Exemplo n.º 2
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = this.Curve;
            SecP521R1FieldElement rawYCoord = (SecP521R1FieldElement)base.RawYCoord;

            if (rawYCoord.IsZero)
            {
                return(curve.Infinity);
            }
            SecP521R1FieldElement rawXCoord = (SecP521R1FieldElement)base.RawXCoord;
            SecP521R1FieldElement element3  = (SecP521R1FieldElement)base.RawZCoords[0];

            uint[] z         = Nat.Create(0x11);
            uint[] numArray2 = Nat.Create(0x11);
            uint[] numArray3 = Nat.Create(0x11);
            SecP521R1Field.Square(rawYCoord.x, numArray3);
            uint[] numArray4 = Nat.Create(0x11);
            SecP521R1Field.Square(numArray3, numArray4);
            bool isOne = element3.IsOne;

            uint[] x = element3.x;
            if (!isOne)
            {
                x = numArray2;
                SecP521R1Field.Square(element3.x, x);
            }
            SecP521R1Field.Subtract(rawXCoord.x, x, z);
            uint[] numArray6 = numArray2;
            SecP521R1Field.Add(rawXCoord.x, x, numArray6);
            SecP521R1Field.Multiply(numArray6, z, numArray6);
            Nat.AddBothTo(0x11, numArray6, numArray6, numArray6);
            SecP521R1Field.Reduce23(numArray6);
            uint[] numArray7 = numArray3;
            SecP521R1Field.Multiply(numArray3, rawXCoord.x, numArray7);
            Nat.ShiftUpBits(0x11, numArray7, 2, 0);
            SecP521R1Field.Reduce23(numArray7);
            Nat.ShiftUpBits(0x11, numArray4, 3, 0, z);
            SecP521R1Field.Reduce23(z);
            SecP521R1FieldElement element4 = new SecP521R1FieldElement(numArray4);

            SecP521R1Field.Square(numArray6, element4.x);
            SecP521R1Field.Subtract(element4.x, numArray7, element4.x);
            SecP521R1Field.Subtract(element4.x, numArray7, element4.x);
            SecP521R1FieldElement y = new SecP521R1FieldElement(numArray7);

            SecP521R1Field.Subtract(numArray7, element4.x, y.x);
            SecP521R1Field.Multiply(y.x, numArray6, y.x);
            SecP521R1Field.Subtract(y.x, z, y.x);
            SecP521R1FieldElement element6 = new SecP521R1FieldElement(numArray6);

            SecP521R1Field.Twice(rawYCoord.x, element6.x);
            if (!isOne)
            {
                SecP521R1Field.Multiply(element6.x, element3.x, element6.x);
            }
            return(new SecP521R1Point(curve, element4, y, new ECFieldElement[] { element6 }, base.IsCompressed));
        }
Exemplo n.º 3
0
        public override ECPoint Twice()
        {
            if (this.IsInfinity)
            {
                return(this);
            }

            ECCurve curve = this.Curve;

            SecP521R1FieldElement Y1 = (SecP521R1FieldElement)this.RawYCoord;

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

            SecP521R1FieldElement X1 = (SecP521R1FieldElement)this.RawXCoord, Z1 = (SecP521R1FieldElement)this.RawZCoords[0];

            uint[] t1 = Nat.Create(17);
            uint[] t2 = Nat.Create(17);

            uint[] Y1Squared = Nat.Create(17);
            SecP521R1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat.Create(17);
            SecP521R1Field.Square(Y1Squared, T);

            bool Z1IsOne = Z1.IsOne;

            uint[] Z1Squared = Z1.x;
            if (!Z1IsOne)
            {
                Z1Squared = t2;
                SecP521R1Field.Square(Z1.x, Z1Squared);
            }

            SecP521R1Field.Subtract(X1.x, Z1Squared, t1);

            uint[] M = t2;
            SecP521R1Field.Add(X1.x, Z1Squared, M);
            SecP521R1Field.Multiply(M, t1, M);
            Nat.AddBothTo(17, M, M, M);
            SecP521R1Field.Reduce23(M);

            uint[] S = Y1Squared;
            SecP521R1Field.Multiply(Y1Squared, X1.x, S);
            Nat.ShiftUpBits(17, S, 2, 0);
            SecP521R1Field.Reduce23(S);

            Nat.ShiftUpBits(17, T, 3, 0, t1);
            SecP521R1Field.Reduce23(t1);

            SecP521R1FieldElement X3 = new SecP521R1FieldElement(T);

            SecP521R1Field.Square(M, X3.x);
            SecP521R1Field.Subtract(X3.x, S, X3.x);
            SecP521R1Field.Subtract(X3.x, S, X3.x);

            SecP521R1FieldElement Y3 = new SecP521R1FieldElement(S);

            SecP521R1Field.Subtract(S, X3.x, Y3.x);
            SecP521R1Field.Multiply(Y3.x, M, Y3.x);
            SecP521R1Field.Subtract(Y3.x, t1, Y3.x);

            SecP521R1FieldElement Z3 = new SecP521R1FieldElement(M);

            SecP521R1Field.Twice(Y1.x, Z3.x);
            if (!Z1IsOne)
            {
                SecP521R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return(new SecP521R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }));
        }