Exemplo n.º 1
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = this.Curve;
            SecP256K1FieldElement secP256K1FieldElement = (SecP256K1FieldElement)base.RawYCoord;

            if (secP256K1FieldElement.IsZero)
            {
                return(curve.Infinity);
            }
            SecP256K1FieldElement secP256K1FieldElement2 = (SecP256K1FieldElement)base.RawXCoord;
            SecP256K1FieldElement secP256K1FieldElement3 = (SecP256K1FieldElement)base.RawZCoords[0];

            uint[] array = Nat256.Create();
            SecP256K1Field.Square(secP256K1FieldElement.x, array);
            uint[] array2 = Nat256.Create();
            SecP256K1Field.Square(array, array2);
            uint[] array3 = Nat256.Create();
            SecP256K1Field.Square(secP256K1FieldElement2.x, array3);
            uint x = Nat256.AddBothTo(array3, array3, array3);

            SecP256K1Field.Reduce32(x, array3);
            uint[] array4 = array;
            SecP256K1Field.Multiply(array, secP256K1FieldElement2.x, array4);
            x = Nat.ShiftUpBits(8, array4, 2, 0u);
            SecP256K1Field.Reduce32(x, array4);
            uint[] array5 = Nat256.Create();
            x = Nat.ShiftUpBits(8, array2, 3, 0u, array5);
            SecP256K1Field.Reduce32(x, array5);
            SecP256K1FieldElement secP256K1FieldElement4 = new SecP256K1FieldElement(array2);

            SecP256K1Field.Square(array3, secP256K1FieldElement4.x);
            SecP256K1Field.Subtract(secP256K1FieldElement4.x, array4, secP256K1FieldElement4.x);
            SecP256K1Field.Subtract(secP256K1FieldElement4.x, array4, secP256K1FieldElement4.x);
            SecP256K1FieldElement secP256K1FieldElement5 = new SecP256K1FieldElement(array4);

            SecP256K1Field.Subtract(array4, secP256K1FieldElement4.x, secP256K1FieldElement5.x);
            SecP256K1Field.Multiply(secP256K1FieldElement5.x, array3, secP256K1FieldElement5.x);
            SecP256K1Field.Subtract(secP256K1FieldElement5.x, array5, secP256K1FieldElement5.x);
            SecP256K1FieldElement secP256K1FieldElement6 = new SecP256K1FieldElement(array3);

            SecP256K1Field.Twice(secP256K1FieldElement.x, secP256K1FieldElement6.x);
            if (!secP256K1FieldElement3.IsOne)
            {
                SecP256K1Field.Multiply(secP256K1FieldElement6.x, secP256K1FieldElement3.x, secP256K1FieldElement6.x);
            }
            return(new SecP256K1Point(curve, secP256K1FieldElement4, secP256K1FieldElement5, new ECFieldElement[]
            {
                secP256K1FieldElement6
            }, base.IsCompressed));
        }
Exemplo n.º 2
0
        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = this.Curve;
            SecP256K1FieldElement rawYCoord = (SecP256K1FieldElement)base.RawYCoord;

            if (rawYCoord.IsZero)
            {
                return(curve.Infinity);
            }
            SecP256K1FieldElement rawXCoord = (SecP256K1FieldElement)base.RawXCoord;
            SecP256K1FieldElement element3  = (SecP256K1FieldElement)base.RawZCoords[0];

            uint[] z = Nat256.Create();
            SecP256K1Field.Square(rawYCoord.x, z);
            uint[] numArray2 = Nat256.Create();
            SecP256K1Field.Square(z, numArray2);
            uint[] numArray3 = Nat256.Create();
            SecP256K1Field.Square(rawXCoord.x, numArray3);
            SecP256K1Field.Reduce32(Nat256.AddBothTo(numArray3, numArray3, numArray3), numArray3);
            uint[] numArray4 = z;
            SecP256K1Field.Multiply(z, rawXCoord.x, numArray4);
            SecP256K1Field.Reduce32(Nat.ShiftUpBits(8, numArray4, 2, 0), numArray4);
            uint[] numArray5 = Nat256.Create();
            SecP256K1Field.Reduce32(Nat.ShiftUpBits(8, numArray2, 3, 0, numArray5), numArray5);
            SecP256K1FieldElement x = new SecP256K1FieldElement(numArray2);

            SecP256K1Field.Square(numArray3, x.x);
            SecP256K1Field.Subtract(x.x, numArray4, x.x);
            SecP256K1Field.Subtract(x.x, numArray4, x.x);
            SecP256K1FieldElement y = new SecP256K1FieldElement(numArray4);

            SecP256K1Field.Subtract(numArray4, x.x, y.x);
            SecP256K1Field.Multiply(y.x, numArray3, y.x);
            SecP256K1Field.Subtract(y.x, numArray5, y.x);
            SecP256K1FieldElement element6 = new SecP256K1FieldElement(numArray3);

            SecP256K1Field.Twice(rawYCoord.x, element6.x);
            if (!element3.IsOne)
            {
                SecP256K1Field.Multiply(element6.x, element3.x, element6.x);
            }
            return(new SecP256K1Point(curve, x, y, new ECFieldElement[] { element6 }, base.IsCompressed));
        }
Exemplo n.º 3
0
        public override ECPoint Twice()
        {
            if (this.IsInfinity)
            {
                return(this);
            }

            ECCurve curve = this.Curve;

            SecP256K1FieldElement Y1 = (SecP256K1FieldElement)this.RawYCoord;

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

            SecP256K1FieldElement X1 = (SecP256K1FieldElement)this.RawXCoord, Z1 = (SecP256K1FieldElement)this.RawZCoords[0];

            uint c;

            uint[] Y1Squared = Nat256.Create();
            SecP256K1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat256.Create();
            SecP256K1Field.Square(Y1Squared, T);

            uint[] M = Nat256.Create();
            SecP256K1Field.Square(X1.x, M);
            c = Nat256.AddBothTo(M, M, M);
            SecP256K1Field.Reduce32(c, M);

            uint[] S = Y1Squared;
            SecP256K1Field.Multiply(Y1Squared, X1.x, S);
            c = Nat.ShiftUpBits(8, S, 2, 0);
            SecP256K1Field.Reduce32(c, S);

            uint[] t1 = Nat256.Create();
            c = Nat.ShiftUpBits(8, T, 3, 0, t1);
            SecP256K1Field.Reduce32(c, t1);

            SecP256K1FieldElement X3 = new SecP256K1FieldElement(T);

            SecP256K1Field.Square(M, X3.x);
            SecP256K1Field.Subtract(X3.x, S, X3.x);
            SecP256K1Field.Subtract(X3.x, S, X3.x);

            SecP256K1FieldElement Y3 = new SecP256K1FieldElement(S);

            SecP256K1Field.Subtract(S, X3.x, Y3.x);
            SecP256K1Field.Multiply(Y3.x, M, Y3.x);
            SecP256K1Field.Subtract(Y3.x, t1, Y3.x);

            SecP256K1FieldElement Z3 = new SecP256K1FieldElement(M);

            SecP256K1Field.Twice(Y1.x, Z3.x);
            if (!Z1.IsOne)
            {
                SecP256K1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return(new SecP256K1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed));
        }