Ejemplo n.º 1
0
        protected virtual BigInteger ModInverse(BigInteger x)
        {
            int bits = FieldSize;
            int len  = (bits + 31) >> 5;

            uint[] p = Nat.FromBigInteger(bits, q);
            uint[] n = Nat.FromBigInteger(bits, x);
            uint[] z = Nat.Create(len);
            Mod.Invert(p, n, z);
            return(Nat.ToBigInteger(len, z));
        }
Ejemplo n.º 2
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 public static void SquareN(uint[] x, int n, uint[] z)
 {
     uint[] array = Nat.Create(24);
     Nat384.Square(x, array);
     Reduce(array, z);
     while (--n > 0)
     {
         Nat384.Square(z, array);
         Reduce(array, z);
     }
 }
Ejemplo n.º 3
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 public static void SquareN(uint[] x, int n, uint[] z)
 {
     uint[] array = Nat.Create(33);
     ImplSquare(x, array);
     Reduce(array, z);
     while (--n > 0)
     {
         ImplSquare(z, array);
         Reduce(array, z);
     }
 }
Ejemplo n.º 4
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 public static void SquareN(uint[] x, int n, uint[] z)
 {
     uint[] array = Nat.Create(33);
     SecP521R1Field.ImplSquare(x, array);
     SecP521R1Field.Reduce(array, z);
     while (--n > 0)
     {
         SecP521R1Field.ImplSquare(z, array);
         SecP521R1Field.Reduce(array, z);
     }
 }
Ejemplo n.º 5
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        protected virtual BigInteger ModInverse(BigInteger x)
        {
            var bits = this.FieldSize;
            var len  = (bits + 31) >> 5;
            var p    = Nat.FromBigInteger(bits, this.Q);
            var n    = Nat.FromBigInteger(bits, x);
            var z    = Nat.Create(len);

            Mod.Invert(p, n, z);
            return(Nat.ToBigInteger(len, z));
        }
Ejemplo n.º 6
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 public static void SquareN(uint[] x, int n, uint[] z)
 {
     uint[] zz = Nat.Create(0x18);
     Nat384.Square(x, zz);
     Reduce(zz, z);
     while (--n > 0)
     {
         Nat384.Square(z, zz);
         Reduce(zz, z);
     }
 }
Ejemplo n.º 7
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        public static void SquareN(uint[] x, int n, uint[] z)
        {
            Debug.Assert(n > 0);
            uint[] tt = Nat.Create(33);
            ImplSquare(x, tt);
            Reduce(tt, z);

            while (--n > 0)
            {
                ImplSquare(z, tt);
                Reduce(tt, z);
            }
        }
Ejemplo n.º 8
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            public override ECPoint LookupVar(int index)
            {
                uint[] x   = Nat.Create(SECP521R1_FE_INTS), y = Nat.Create(SECP521R1_FE_INTS);
                int    pos = index * SECP521R1_FE_INTS * 2;

                for (int j = 0; j < SECP521R1_FE_INTS; ++j)
                {
                    x[j] = m_table[pos + j];
                    y[j] = m_table[pos + SECP521R1_FE_INTS + j];
                }

                return(CreatePoint(x, y));
            }
Ejemplo n.º 9
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 public override ECFieldElement Sqrt()
 {
     uint[] array = x;
     if (Nat.IsZero(17, array) || Nat.IsOne(17, array))
     {
         return(this);
     }
     uint[] z      = Nat.Create(17);
     uint[] array2 = Nat.Create(17);
     SecP521R1Field.SquareN(array, 519, z);
     SecP521R1Field.Square(z, array2);
     return((!Nat.Eq(17, array, array2)) ? null : new SecP521R1FieldElement(z));
 }
Ejemplo n.º 10
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 public override ECFieldElement Sqrt()
 {
     uint[] x = this.x;
     if (Nat.IsZero(0x11, x) || Nat.IsOne(0x11, x))
     {
         return(this);
     }
     uint[] z         = Nat.Create(0x11);
     uint[] numArray3 = Nat.Create(0x11);
     SecP521R1Field.SquareN(x, 0x207, z);
     SecP521R1Field.Square(z, numArray3);
     return(!Nat.Eq(0x11, x, numArray3) ? null : new SecP521R1FieldElement(z));
 }
Ejemplo n.º 11
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 public override ECFieldElement Sqrt()
 {
     uint[] y = this.x;
     if (Nat.IsZero(12, y) || Nat.IsOne(12, y))
     {
         return(this);
     }
     uint[] array  = Nat.Create(12);
     uint[] array2 = Nat.Create(12);
     uint[] array3 = Nat.Create(12);
     uint[] array4 = Nat.Create(12);
     SecP384R1Field.Square(y, array);
     SecP384R1Field.Multiply(array, y, array);
     SecP384R1Field.SquareN(array, 2, array2);
     SecP384R1Field.Multiply(array2, array, array2);
     SecP384R1Field.Square(array2, array2);
     SecP384R1Field.Multiply(array2, y, array2);
     SecP384R1Field.SquareN(array2, 5, array3);
     SecP384R1Field.Multiply(array3, array2, array3);
     SecP384R1Field.SquareN(array3, 5, array4);
     SecP384R1Field.Multiply(array4, array2, array4);
     SecP384R1Field.SquareN(array4, 15, array2);
     SecP384R1Field.Multiply(array2, array4, array2);
     SecP384R1Field.SquareN(array2, 2, array3);
     SecP384R1Field.Multiply(array, array3, array);
     SecP384R1Field.SquareN(array3, 28, array3);
     SecP384R1Field.Multiply(array2, array3, array2);
     SecP384R1Field.SquareN(array2, 60, array3);
     SecP384R1Field.Multiply(array3, array2, array3);
     uint[] z = array2;
     SecP384R1Field.SquareN(array3, 120, z);
     SecP384R1Field.Multiply(z, array3, z);
     SecP384R1Field.SquareN(z, 15, z);
     SecP384R1Field.Multiply(z, array4, z);
     SecP384R1Field.SquareN(z, 33, z);
     SecP384R1Field.Multiply(z, array, z);
     SecP384R1Field.SquareN(z, 64, z);
     SecP384R1Field.Multiply(z, y, z);
     SecP384R1Field.SquareN(z, 30, array);
     SecP384R1Field.Square(array, array2);
     if (!Nat.Eq(12, y, array2))
     {
         return(null);
     }
     return(new SecP384R1FieldElement(array));
 }
Ejemplo n.º 12
0
        /**
         * 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 2^519

            uint[] x1 = this.x;
            if (Nat.IsZero(17, x1) || Nat.IsOne(17, x1))
            {
                return(this);
            }

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

            SecP521R1Field.SquareN(x1, 519, t1);
            SecP521R1Field.Square(t1, t2);

            return(Nat.Eq(17, x1, t2) ? new SecP521R1FieldElement(t1) : null);
        }
 public override ECFieldElement Sqrt()
 {
     uint[] x = this.x;
     if (Nat.IsZero(12, x) || Nat.IsOne(12, x))
     {
         return(this);
     }
     uint[] z         = Nat.Create(12);
     uint[] numArray3 = Nat.Create(12);
     uint[] numArray4 = Nat.Create(12);
     uint[] numArray5 = Nat.Create(12);
     SecP384R1Field.Square(x, z);
     SecP384R1Field.Multiply(z, x, z);
     SecP384R1Field.SquareN(z, 2, numArray3);
     SecP384R1Field.Multiply(numArray3, z, numArray3);
     SecP384R1Field.Square(numArray3, numArray3);
     SecP384R1Field.Multiply(numArray3, x, numArray3);
     SecP384R1Field.SquareN(numArray3, 5, numArray4);
     SecP384R1Field.Multiply(numArray4, numArray3, numArray4);
     SecP384R1Field.SquareN(numArray4, 5, numArray5);
     SecP384R1Field.Multiply(numArray5, numArray3, numArray5);
     SecP384R1Field.SquareN(numArray5, 15, numArray3);
     SecP384R1Field.Multiply(numArray3, numArray5, numArray3);
     SecP384R1Field.SquareN(numArray3, 2, numArray4);
     SecP384R1Field.Multiply(z, numArray4, z);
     SecP384R1Field.SquareN(numArray4, 0x1c, numArray4);
     SecP384R1Field.Multiply(numArray3, numArray4, numArray3);
     SecP384R1Field.SquareN(numArray3, 60, numArray4);
     SecP384R1Field.Multiply(numArray4, numArray3, numArray4);
     uint[] numArray6 = numArray3;
     SecP384R1Field.SquareN(numArray4, 120, numArray6);
     SecP384R1Field.Multiply(numArray6, numArray4, numArray6);
     SecP384R1Field.SquareN(numArray6, 15, numArray6);
     SecP384R1Field.Multiply(numArray6, numArray5, numArray6);
     SecP384R1Field.SquareN(numArray6, 0x21, numArray6);
     SecP384R1Field.Multiply(numArray6, z, numArray6);
     SecP384R1Field.SquareN(numArray6, 0x40, numArray6);
     SecP384R1Field.Multiply(numArray6, x, numArray6);
     SecP384R1Field.SquareN(numArray6, 30, z);
     SecP384R1Field.Square(z, numArray3);
     return(!Nat.Eq(12, x, numArray3) ? null : new SecP384R1FieldElement(z));
 }
Ejemplo n.º 14
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            public virtual ECPoint Lookup(int index)
            {
                uint[] x   = Nat.Create(SECP521R1_FE_INTS), y = Nat.Create(SECP521R1_FE_INTS);
                int    pos = 0;

                for (int i = 0; i < m_size; ++i)
                {
                    uint MASK = (uint)(((i ^ index) - 1) >> 31);

                    for (int j = 0; j < SECP521R1_FE_INTS; ++j)
                    {
                        x[j] ^= m_table[pos + j] & MASK;
                        y[j] ^= m_table[pos + SECP521R1_FE_INTS + j] & MASK;
                    }

                    pos += (SECP521R1_FE_INTS * 2);
                }

                return(m_outer.CreateRawPoint(new SecP521R1FieldElement(x), new SecP521R1FieldElement(y), false));
            }
Ejemplo n.º 15
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            public override ECPoint Lookup(int index)
            {
                uint[] x   = Nat.Create(SECP521R1_FE_INTS), y = Nat.Create(SECP521R1_FE_INTS);
                int    pos = 0;

                for (int i = 0; i < m_size; ++i)
                {
                    uint MASK = (uint)(((i ^ index) - 1) >> 31);

                    for (int j = 0; j < SECP521R1_FE_INTS; ++j)
                    {
                        x[j] ^= m_table[pos + j] & MASK;
                        y[j] ^= m_table[pos + SECP521R1_FE_INTS + j] & MASK;
                    }

                    pos += (SECP521R1_FE_INTS * 2);
                }

                return(CreatePoint(x, y));
            }
Ejemplo n.º 16
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        public static BigInteger ModOddInverseVar(BigInteger M, BigInteger X)
        {
            if (!M.TestBit(0))
            {
                throw new ArgumentException("must be odd", "M");
            }
            if (M.SignValue != 1)
            {
                throw new ArithmeticException("BigInteger: modulus not positive");
            }
            if (M.Equals(One))
            {
                return(Zero);
            }
            if (X.SignValue < 0 || X.CompareTo(M) >= 0)
            {
                X = X.Mod(M);
            }
            if (X.Equals(One))
            {
                return(One);
            }

            int bits = M.BitLength;

            uint[] m   = Nat.FromBigInteger(bits, M);
            uint[] x   = Nat.FromBigInteger(bits, X);
            int    len = m.Length;

            uint[] z = Nat.Create(len);
            if (!Mod.ModOddInverseVar(m, x, z))
            {
                throw new ArithmeticException("BigInteger not invertible");
            }
            return(Nat.ToBigInteger(len, z));
        }
Ejemplo n.º 17
0
        /**
         * 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 2^382 - 2^126 - 2^94 + 2^30

            uint[] x1 = this.x;
            if (Nat.IsZero(12, x1) || Nat.IsOne(12, x1))
            {
                return(this);
            }

            uint[] t1 = Nat.Create(12);
            uint[] t2 = Nat.Create(12);
            uint[] t3 = Nat.Create(12);
            uint[] t4 = Nat.Create(12);

            SecP384R1Field.Square(x1, t1);
            SecP384R1Field.Multiply(t1, x1, t1);

            SecP384R1Field.SquareN(t1, 2, t2);
            SecP384R1Field.Multiply(t2, t1, t2);

            SecP384R1Field.Square(t2, t2);
            SecP384R1Field.Multiply(t2, x1, t2);

            SecP384R1Field.SquareN(t2, 5, t3);
            SecP384R1Field.Multiply(t3, t2, t3);

            SecP384R1Field.SquareN(t3, 5, t4);
            SecP384R1Field.Multiply(t4, t2, t4);

            SecP384R1Field.SquareN(t4, 15, t2);
            SecP384R1Field.Multiply(t2, t4, t2);

            SecP384R1Field.SquareN(t2, 2, t3);
            SecP384R1Field.Multiply(t1, t3, t1);

            SecP384R1Field.SquareN(t3, 28, t3);
            SecP384R1Field.Multiply(t2, t3, t2);

            SecP384R1Field.SquareN(t2, 60, t3);
            SecP384R1Field.Multiply(t3, t2, t3);

            uint[] r = t2;

            SecP384R1Field.SquareN(t3, 120, r);
            SecP384R1Field.Multiply(r, t3, r);

            SecP384R1Field.SquareN(r, 15, r);
            SecP384R1Field.Multiply(r, t4, r);

            SecP384R1Field.SquareN(r, 33, r);
            SecP384R1Field.Multiply(r, t1, r);

            SecP384R1Field.SquareN(r, 64, r);
            SecP384R1Field.Multiply(r, x1, r);

            SecP384R1Field.SquareN(r, 30, t1);
            SecP384R1Field.Square(t1, t2);

            return(Nat.Eq(12, x1, t2) ? new SecP384R1FieldElement(t1) : null);
        }
Ejemplo n.º 18
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 public static void Multiply(uint[] x, uint[] y, uint[] z)
 {
     uint[] zz = Nat.Create(0x21);
     ImplMultiply(x, y, zz);
     Reduce(zz, z);
 }
Ejemplo n.º 19
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 public static void Square(uint[] x, uint[] z)
 {
     uint[] zz = Nat.Create(0x21);
     ImplSquare(x, zz);
     Reduce(zz, z);
 }
Ejemplo n.º 20
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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;

            SecP384R1FieldElement X1 = (SecP384R1FieldElement)this.RawXCoord, Y1 = (SecP384R1FieldElement)this.RawYCoord;
            SecP384R1FieldElement X2 = (SecP384R1FieldElement)b.RawXCoord, Y2 = (SecP384R1FieldElement)b.RawYCoord;

            SecP384R1FieldElement Z1 = (SecP384R1FieldElement)this.RawZCoords[0];
            SecP384R1FieldElement Z2 = (SecP384R1FieldElement)b.RawZCoords[0];

            uint c;
            uint[] tt1 = Nat.Create(24);
            uint[] tt2 = Nat.Create(24);
            uint[] t3 = Nat.Create(12);
            uint[] t4 = Nat.Create(12);

            bool Z1IsOne = Z1.IsOne;
            uint[] U2, S2;
            if (Z1IsOne)
            {
                U2 = X2.x;
                S2 = Y2.x;
            }
            else
            {
                S2 = t3;
                SecP384R1Field.Square(Z1.x, S2);

                U2 = tt2;
                SecP384R1Field.Multiply(S2, X2.x, U2);

                SecP384R1Field.Multiply(S2, Z1.x, S2);
                SecP384R1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;
            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP384R1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP384R1Field.Multiply(S1, X1.x, U1);

                SecP384R1Field.Multiply(S1, Z2.x, S1);
                SecP384R1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat.Create(12);
            SecP384R1Field.Subtract(U1, U2, H);

            uint[] R = Nat.Create(12);
            SecP384R1Field.Subtract(S1, S2, R);

            // Check if b == this or b == -this
            if (Nat.IsZero(12, H))
            {
                if (Nat.IsZero(12, 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;
            SecP384R1Field.Square(H, HSquared);

            uint[] G = Nat.Create(12);
            SecP384R1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP384R1Field.Multiply(HSquared, U1, V);

            SecP384R1Field.Negate(G, G);
            Nat384.Mul(S1, G, tt1);

            c = Nat.AddBothTo(12, V, V, G);
            SecP384R1Field.Reduce32(c, G);

            SecP384R1FieldElement X3 = new SecP384R1FieldElement(t4);
            SecP384R1Field.Square(R, X3.x);
            SecP384R1Field.Subtract(X3.x, G, X3.x);

            SecP384R1FieldElement Y3 = new SecP384R1FieldElement(G);
            SecP384R1Field.Subtract(V, X3.x, Y3.x);
            Nat384.Mul(Y3.x, R, tt2);
            SecP384R1Field.AddExt(tt1, tt2, tt1);
            SecP384R1Field.Reduce(tt1, Y3.x);

            SecP384R1FieldElement Z3 = new SecP384R1FieldElement(H);
            if (!Z1IsOne)
            {
                SecP384R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP384R1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

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

            return new SecP384R1Point(curve, X3, Y3, zs, IsCompressed);
        }
Ejemplo n.º 21
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        public override ECPoint Twice()
        {
            if (this.IsInfinity)
                return this;

            ECCurve curve = this.Curve;

            SecP384R1FieldElement Y1 = (SecP384R1FieldElement)this.RawYCoord;
            if (Y1.IsZero)
                return curve.Infinity;

            SecP384R1FieldElement X1 = (SecP384R1FieldElement)this.RawXCoord, Z1 = (SecP384R1FieldElement)this.RawZCoords[0];

            uint c;
            uint[] t1 = Nat.Create(12);
            uint[] t2 = Nat.Create(12);

            uint[] Y1Squared = Nat.Create(12);
            SecP384R1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat.Create(12);
            SecP384R1Field.Square(Y1Squared, T);

            bool Z1IsOne = Z1.IsOne;

            uint[] Z1Squared = Z1.x;
            if (!Z1IsOne)
            {
                Z1Squared = t2;
                SecP384R1Field.Square(Z1.x, Z1Squared);
            }

            SecP384R1Field.Subtract(X1.x, Z1Squared, t1);

            uint[] M = t2;
            SecP384R1Field.Add(X1.x, Z1Squared, M);
            SecP384R1Field.Multiply(M, t1, M);
            c = Nat.AddBothTo(12, M, M, M);
            SecP384R1Field.Reduce32(c, M);

            uint[] S = Y1Squared;
            SecP384R1Field.Multiply(Y1Squared, X1.x, S);
            c = Nat.ShiftUpBits(12, S, 2, 0);
            SecP384R1Field.Reduce32(c, S);

            c = Nat.ShiftUpBits(12, T, 3, 0, t1);
            SecP384R1Field.Reduce32(c, t1);

            SecP384R1FieldElement X3 = new SecP384R1FieldElement(T);
            SecP384R1Field.Square(M, X3.x);
            SecP384R1Field.Subtract(X3.x, S, X3.x);
            SecP384R1Field.Subtract(X3.x, S, X3.x);

            SecP384R1FieldElement Y3 = new SecP384R1FieldElement(S);
            SecP384R1Field.Subtract(S, X3.x, Y3.x);
            SecP384R1Field.Multiply(Y3.x, M, Y3.x);
            SecP384R1Field.Subtract(Y3.x, t1, Y3.x);

            SecP384R1FieldElement Z3 = new SecP384R1FieldElement(M);
            SecP384R1Field.Twice(Y1.x, Z3.x);
            if (!Z1IsOne)
            {
                SecP384R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return new SecP384R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed);
        }
Ejemplo n.º 22
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 public static void Multiply(uint[] x, uint[] y, uint[] z)
 {
     uint[] array = Nat.Create(33);
     ImplMultiply(x, y, array);
     Reduce(array, z);
 }
Ejemplo n.º 23
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 public static void Square(uint[] x, uint[] z)
 {
     uint[] array = Nat.Create(33);
     ImplSquare(x, array);
     Reduce(array, z);
 }
Ejemplo n.º 24
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;
            SecP521R1FieldElement rawXCoord = (SecP521R1FieldElement)base.RawXCoord;
            SecP521R1FieldElement rawYCoord = (SecP521R1FieldElement)base.RawYCoord;
            SecP521R1FieldElement element3  = (SecP521R1FieldElement)b.RawXCoord;
            SecP521R1FieldElement element4  = (SecP521R1FieldElement)b.RawYCoord;
            SecP521R1FieldElement element5  = (SecP521R1FieldElement)base.RawZCoords[0];
            SecP521R1FieldElement element6  = (SecP521R1FieldElement)b.RawZCoords[0];

            uint[] z         = Nat.Create(0x11);
            uint[] numArray2 = Nat.Create(0x11);
            uint[] numArray3 = Nat.Create(0x11);
            uint[] x         = Nat.Create(0x11);
            bool   isOne     = element5.IsOne;

            if (isOne)
            {
                numArray5 = element3.x;
                numArray6 = element4.x;
            }
            else
            {
                numArray6 = numArray3;
                SecP521R1Field.Square(element5.x, numArray6);
                numArray5 = numArray2;
                SecP521R1Field.Multiply(numArray6, element3.x, numArray5);
                SecP521R1Field.Multiply(numArray6, element5.x, numArray6);
                SecP521R1Field.Multiply(numArray6, element4.x, numArray6);
            }
            bool flag2 = element6.IsOne;

            if (flag2)
            {
                numArray7 = rawXCoord.x;
                numArray8 = rawYCoord.x;
            }
            else
            {
                numArray8 = x;
                SecP521R1Field.Square(element6.x, numArray8);
                numArray7 = z;
                SecP521R1Field.Multiply(numArray8, rawXCoord.x, numArray7);
                SecP521R1Field.Multiply(numArray8, element6.x, numArray8);
                SecP521R1Field.Multiply(numArray8, rawYCoord.x, numArray8);
            }
            uint[] numArray9 = Nat.Create(0x11);
            SecP521R1Field.Subtract(numArray7, numArray5, numArray9);
            uint[] numArray10 = numArray2;
            SecP521R1Field.Subtract(numArray8, numArray6, numArray10);
            if (Nat.IsZero(0x11, numArray9))
            {
                if (Nat.IsZero(0x11, numArray10))
                {
                    return(this.Twice());
                }
                return(curve.Infinity);
            }
            uint[] numArray11 = numArray3;
            SecP521R1Field.Square(numArray9, numArray11);
            uint[] numArray12 = Nat.Create(0x11);
            SecP521R1Field.Multiply(numArray11, numArray9, numArray12);
            uint[] numArray13 = numArray3;
            SecP521R1Field.Multiply(numArray11, numArray7, numArray13);
            SecP521R1Field.Multiply(numArray8, numArray12, z);
            SecP521R1FieldElement element7 = new SecP521R1FieldElement(x);

            SecP521R1Field.Square(numArray10, element7.x);
            SecP521R1Field.Add(element7.x, numArray12, element7.x);
            SecP521R1Field.Subtract(element7.x, numArray13, element7.x);
            SecP521R1Field.Subtract(element7.x, numArray13, element7.x);
            SecP521R1FieldElement y = new SecP521R1FieldElement(numArray12);

            SecP521R1Field.Subtract(numArray13, element7.x, y.x);
            SecP521R1Field.Multiply(y.x, numArray10, numArray2);
            SecP521R1Field.Subtract(numArray2, z, y.x);
            SecP521R1FieldElement element9 = new SecP521R1FieldElement(numArray9);

            if (!isOne)
            {
                SecP521R1Field.Multiply(element9.x, element5.x, element9.x);
            }
            if (!flag2)
            {
                SecP521R1Field.Multiply(element9.x, element6.x, element9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[] { element9 };
            return(new SecP521R1Point(curve, element7, y, zs, base.IsCompressed));
        }
Ejemplo n.º 25
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 public override ECFieldElement Subtract(ECFieldElement b)
 {
     uint[] z = Nat.Create(12);
     SecP384R1Field.Subtract(x, ((SecP384R1FieldElement)b).x, z);
     return(new SecP384R1FieldElement(z));
 }
Ejemplo n.º 26
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 public SecP384R1FieldElement()
 {
     this.x = Nat.Create(12);
 }
Ejemplo n.º 27
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 public override ECFieldElement AddOne()
 {
     uint[] z = Nat.Create(12);
     SecP384R1Field.AddOne(x, z);
     return(new SecP384R1FieldElement(z));
 }
Ejemplo n.º 28
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 public override ECFieldElement Add(ECFieldElement b)
 {
     uint[] z = Nat.Create(12);
     SecP384R1Field.Add(this.x, ((SecP384R1FieldElement)b).x, z);
     return(new SecP384R1FieldElement(z));
 }
Ejemplo n.º 29
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 public override ECFieldElement Multiply(ECFieldElement b)
 {
     uint[] z = Nat.Create(12);
     SecP384R1Field.Multiply(x, ((SecP384R1FieldElement)b).x, z);
     return(new SecP384R1FieldElement(z));
 }
Ejemplo n.º 30
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));
        }