Esempio n. 1
0
        public SecP256R1FieldElement(BigInteger x)
        {
            if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
            {
                throw new ArgumentException("value invalid for SecP256R1FieldElement", "x");
            }

            this.x = SecP256R1Field.FromBigInteger(x);
        }
Esempio n. 2
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 public SecP256R1FieldElement(BigInteger x)
 {
     //IL_002a: Unknown result type (might be due to invalid IL or missing references)
     if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
     {
         throw new ArgumentException("value invalid for SecP256R1FieldElement", "x");
     }
     this.x = SecP256R1Field.FromBigInteger(x);
 }
Esempio n. 3
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        public static void Subtract(uint[] x, uint[] y, uint[] z)
        {
            int num = Nat256.Sub(x, y, z);

            if (num != 0)
            {
                SecP256R1Field.SubPInvFrom(z);
            }
        }
Esempio n. 4
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 public static void SquareN(uint[] x, int n, uint[] z)
 {
     uint[] array = Nat256.CreateExt();
     Nat256.Square(x, array);
     SecP256R1Field.Reduce(array, z);
     while (--n > 0)
     {
         Nat256.Square(z, array);
         SecP256R1Field.Reduce(array, z);
     }
 }
Esempio n. 5
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        public static void Reduce(uint[] xx, uint[] z)
        {
            long num  = (long)((ulong)xx[8]);
            long num2 = (long)((ulong)xx[9]);
            long num3 = (long)((ulong)xx[10]);
            long num4 = (long)((ulong)xx[11]);
            long num5 = (long)((ulong)xx[12]);
            long num6 = (long)((ulong)xx[13]);
            long num7 = (long)((ulong)xx[14]);
            long num8 = (long)((ulong)xx[15]);

            num -= 6L;
            long num9  = num + num2;
            long num10 = num2 + num3;
            long num11 = num3 + num4 - num8;
            long num12 = num4 + num5;
            long num13 = num5 + num6;
            long num14 = num6 + num7;
            long num15 = num7 + num8;
            long num16 = 0L;

            num16  += (long)((ulong)xx[0] + (ulong)num9 - (ulong)num12 - (ulong)num14);
            z[0]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[1] + (ulong)num10 - (ulong)num13 - (ulong)num15);
            z[1]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[2] + (ulong)num11 - (ulong)num14);
            z[2]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[3] + (ulong)((ulong)num12 << 1) + (ulong)num6 - (ulong)num8 - (ulong)num9);
            z[3]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[4] + (ulong)((ulong)num13 << 1) + (ulong)num7 - (ulong)num10);
            z[4]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[5] + (ulong)((ulong)num14 << 1) - (ulong)num11);
            z[5]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[6] + (ulong)((ulong)num15 << 1) + (ulong)num14 - (ulong)num9);
            z[6]    = (uint)num16;
            num16 >>= 32;
            num16  += (long)((ulong)xx[7] + (ulong)((ulong)num8 << 1) + (ulong)num - (ulong)num11 - (ulong)num13);
            z[7]    = (uint)num16;
            num16 >>= 32;
            num16  += 6L;
            SecP256R1Field.Reduce32((uint)num16, z);
        }
Esempio n. 6
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        public static void Reduce32(uint x, uint[] z)
        {
            long num = 0L;

            if (x != 0u)
            {
                long num2 = (long)((ulong)x);
                num  += (long)((ulong)z[0] + (ulong)num2);
                z[0]  = (uint)num;
                num >>= 32;
                if (num != 0L)
                {
                    num  += (long)((ulong)z[1]);
                    z[1]  = (uint)num;
                    num >>= 32;
                    num  += (long)((ulong)z[2]);
                    z[2]  = (uint)num;
                    num >>= 32;
                }
                num  += (long)((ulong)z[3] - (ulong)num2);
                z[3]  = (uint)num;
                num >>= 32;
                if (num != 0L)
                {
                    num  += (long)((ulong)z[4]);
                    z[4]  = (uint)num;
                    num >>= 32;
                    num  += (long)((ulong)z[5]);
                    z[5]  = (uint)num;
                    num >>= 32;
                }
                num  += (long)((ulong)z[6] - (ulong)num2);
                z[6]  = (uint)num;
                num >>= 32;
                num  += (long)((ulong)z[7] + (ulong)num2);
                z[7]  = (uint)num;
                num >>= 32;
            }
            if (num != 0L || (z[7] == 4294967295u && Nat256.Gte(z, SecP256R1Field.P)))
            {
                SecP256R1Field.AddPInvTo(z);
            }
        }
Esempio n. 7
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        /**
         * 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 2^254 - 2^222 + 2^190 + 2^94

            uint[] x1 = this.x;
            if (Nat256.IsZero(x1) || Nat256.IsOne(x1))
            {
                return(this);
            }

            uint[] t1 = Nat256.Create();
            uint[] t2 = Nat256.Create();

            SecP256R1Field.Square(x1, t1);
            SecP256R1Field.Multiply(t1, x1, t1);

            SecP256R1Field.SquareN(t1, 2, t2);
            SecP256R1Field.Multiply(t2, t1, t2);

            SecP256R1Field.SquareN(t2, 4, t1);
            SecP256R1Field.Multiply(t1, t2, t1);

            SecP256R1Field.SquareN(t1, 8, t2);
            SecP256R1Field.Multiply(t2, t1, t2);

            SecP256R1Field.SquareN(t2, 16, t1);
            SecP256R1Field.Multiply(t1, t2, t1);

            SecP256R1Field.SquareN(t1, 32, t1);
            SecP256R1Field.Multiply(t1, x1, t1);

            SecP256R1Field.SquareN(t1, 96, t1);
            SecP256R1Field.Multiply(t1, x1, t1);

            SecP256R1Field.SquareN(t1, 94, t1);
            SecP256R1Field.Multiply(t1, t1, t2);

            return(Nat256.Eq(x1, t2) ? new SecP256R1FieldElement(t1) : null);
        }
Esempio n. 8
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 public override ECFieldElement AddOne()
 {
     uint[] z = Nat256.Create();
     SecP256R1Field.AddOne(x, z);
     return(new SecP256R1FieldElement(z));
 }
Esempio n. 9
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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;

            SecP256R1FieldElement X1 = (SecP256R1FieldElement)this.RawXCoord, Y1 = (SecP256R1FieldElement)this.RawYCoord;
            SecP256R1FieldElement X2 = (SecP256R1FieldElement)b.RawXCoord, Y2 = (SecP256R1FieldElement)b.RawYCoord;

            SecP256R1FieldElement Z1 = (SecP256R1FieldElement)this.RawZCoords[0];
            SecP256R1FieldElement Z2 = (SecP256R1FieldElement)b.RawZCoords[0];

            uint c;

            uint[] tt1 = Nat256.CreateExt();
            uint[] t2  = Nat256.Create();
            uint[] t3  = Nat256.Create();
            uint[] t4  = Nat256.Create();

            bool Z1IsOne = Z1.IsOne;

            uint[] U2, S2;
            if (Z1IsOne)
            {
                U2 = X2.x;
                S2 = Y2.x;
            }
            else
            {
                S2 = t3;
                SecP256R1Field.Square(Z1.x, S2);

                U2 = t2;
                SecP256R1Field.Multiply(S2, X2.x, U2);

                SecP256R1Field.Multiply(S2, Z1.x, S2);
                SecP256R1Field.Multiply(S2, Y2.x, S2);
            }

            bool Z2IsOne = Z2.IsOne;

            uint[] U1, S1;
            if (Z2IsOne)
            {
                U1 = X1.x;
                S1 = Y1.x;
            }
            else
            {
                S1 = t4;
                SecP256R1Field.Square(Z2.x, S1);

                U1 = tt1;
                SecP256R1Field.Multiply(S1, X1.x, U1);

                SecP256R1Field.Multiply(S1, Z2.x, S1);
                SecP256R1Field.Multiply(S1, Y1.x, S1);
            }

            uint[] H = Nat256.Create();
            SecP256R1Field.Subtract(U1, U2, H);

            uint[] R = t2;
            SecP256R1Field.Subtract(S1, S2, R);

            // Check if b == this or b == -this
            if (Nat256.IsZero(H))
            {
                if (Nat256.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;
            SecP256R1Field.Square(H, HSquared);

            uint[] G = Nat256.Create();
            SecP256R1Field.Multiply(HSquared, H, G);

            uint[] V = t3;
            SecP256R1Field.Multiply(HSquared, U1, V);

            SecP256R1Field.Negate(G, G);
            Nat256.Mul(S1, G, tt1);

            c = Nat256.AddBothTo(V, V, G);
            SecP256R1Field.Reduce32(c, G);

            SecP256R1FieldElement X3 = new SecP256R1FieldElement(t4);

            SecP256R1Field.Square(R, X3.x);
            SecP256R1Field.Subtract(X3.x, G, X3.x);

            SecP256R1FieldElement Y3 = new SecP256R1FieldElement(G);

            SecP256R1Field.Subtract(V, X3.x, Y3.x);
            SecP256R1Field.MultiplyAddToExt(Y3.x, R, tt1);
            SecP256R1Field.Reduce(tt1, Y3.x);

            SecP256R1FieldElement Z3 = new SecP256R1FieldElement(H);

            if (!Z1IsOne)
            {
                SecP256R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }
            if (!Z2IsOne)
            {
                SecP256R1Field.Multiply(Z3.x, Z2.x, Z3.x);
            }

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

            return(new SecP256R1Point(curve, X3, Y3, zs, IsCompressed));
        }
Esempio n. 10
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        public override ECPoint Twice()
        {
            if (this.IsInfinity)
            {
                return(this);
            }

            ECCurve curve = this.Curve;

            SecP256R1FieldElement Y1 = (SecP256R1FieldElement)this.RawYCoord;

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

            SecP256R1FieldElement X1 = (SecP256R1FieldElement)this.RawXCoord, Z1 = (SecP256R1FieldElement)this.RawZCoords[0];

            uint c;

            uint[] t1 = Nat256.Create();
            uint[] t2 = Nat256.Create();

            uint[] Y1Squared = Nat256.Create();
            SecP256R1Field.Square(Y1.x, Y1Squared);

            uint[] T = Nat256.Create();
            SecP256R1Field.Square(Y1Squared, T);

            bool Z1IsOne = Z1.IsOne;

            uint[] Z1Squared = Z1.x;
            if (!Z1IsOne)
            {
                Z1Squared = t2;
                SecP256R1Field.Square(Z1.x, Z1Squared);
            }

            SecP256R1Field.Subtract(X1.x, Z1Squared, t1);

            uint[] M = t2;
            SecP256R1Field.Add(X1.x, Z1Squared, M);
            SecP256R1Field.Multiply(M, t1, M);
            c = Nat256.AddBothTo(M, M, M);
            SecP256R1Field.Reduce32(c, M);

            uint[] S = Y1Squared;
            SecP256R1Field.Multiply(Y1Squared, X1.x, S);
            c = Nat.ShiftUpBits(8, S, 2, 0);
            SecP256R1Field.Reduce32(c, S);

            c = Nat.ShiftUpBits(8, T, 3, 0, t1);
            SecP256R1Field.Reduce32(c, t1);

            SecP256R1FieldElement X3 = new SecP256R1FieldElement(T);

            SecP256R1Field.Square(M, X3.x);
            SecP256R1Field.Subtract(X3.x, S, X3.x);
            SecP256R1Field.Subtract(X3.x, S, X3.x);

            SecP256R1FieldElement Y3 = new SecP256R1FieldElement(S);

            SecP256R1Field.Subtract(S, X3.x, Y3.x);
            SecP256R1Field.Multiply(Y3.x, M, Y3.x);
            SecP256R1Field.Subtract(Y3.x, t1, Y3.x);

            SecP256R1FieldElement Z3 = new SecP256R1FieldElement(M);

            SecP256R1Field.Twice(Y1.x, Z3.x);
            if (!Z1IsOne)
            {
                SecP256R1Field.Multiply(Z3.x, Z1.x, Z3.x);
            }

            return(new SecP256R1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed));
        }
Esempio n. 11
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 public override ECFieldElement Add(ECFieldElement b)
 {
     uint[] z = Nat256.Create();
     SecP256R1Field.Add(this.x, ((SecP256R1FieldElement)b).x, z);
     return(new SecP256R1FieldElement(z));
 }
Esempio n. 12
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 public override ECFieldElement Square()
 {
     uint[] z = Nat256.Create();
     SecP256R1Field.Square(this.x, z);
     return(new SecP256R1FieldElement(z));
 }
Esempio n. 13
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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;
            SecP256R1FieldElement rawXCoord = (SecP256R1FieldElement)base.RawXCoord;
            SecP256R1FieldElement rawYCoord = (SecP256R1FieldElement)base.RawYCoord;
            SecP256R1FieldElement element3  = (SecP256R1FieldElement)b.RawXCoord;
            SecP256R1FieldElement element4  = (SecP256R1FieldElement)b.RawYCoord;
            SecP256R1FieldElement element5  = (SecP256R1FieldElement)base.RawZCoords[0];
            SecP256R1FieldElement element6  = (SecP256R1FieldElement)b.RawZCoords[0];

            uint[] zz        = Nat256.CreateExt();
            uint[] numArray2 = Nat256.Create();
            uint[] numArray3 = Nat256.Create();
            uint[] x         = Nat256.Create();
            bool   isOne     = element5.IsOne;

            if (isOne)
            {
                numArray5 = element3.x;
                numArray6 = element4.x;
            }
            else
            {
                numArray6 = numArray3;
                SecP256R1Field.Square(element5.x, numArray6);
                numArray5 = numArray2;
                SecP256R1Field.Multiply(numArray6, element3.x, numArray5);
                SecP256R1Field.Multiply(numArray6, element5.x, numArray6);
                SecP256R1Field.Multiply(numArray6, element4.x, numArray6);
            }
            bool flag2 = element6.IsOne;

            if (flag2)
            {
                numArray7 = rawXCoord.x;
                numArray8 = rawYCoord.x;
            }
            else
            {
                numArray8 = x;
                SecP256R1Field.Square(element6.x, numArray8);
                numArray7 = zz;
                SecP256R1Field.Multiply(numArray8, rawXCoord.x, numArray7);
                SecP256R1Field.Multiply(numArray8, element6.x, numArray8);
                SecP256R1Field.Multiply(numArray8, rawYCoord.x, numArray8);
            }
            uint[] z = Nat256.Create();
            SecP256R1Field.Subtract(numArray7, numArray5, z);
            uint[] numArray10 = numArray2;
            SecP256R1Field.Subtract(numArray8, numArray6, numArray10);
            if (Nat256.IsZero(z))
            {
                if (Nat256.IsZero(numArray10))
                {
                    return(this.Twice());
                }
                return(curve.Infinity);
            }
            uint[] numArray11 = numArray3;
            SecP256R1Field.Square(z, numArray11);
            uint[] numArray12 = Nat256.Create();
            SecP256R1Field.Multiply(numArray11, z, numArray12);
            uint[] numArray13 = numArray3;
            SecP256R1Field.Multiply(numArray11, numArray7, numArray13);
            SecP256R1Field.Negate(numArray12, numArray12);
            Nat256.Mul(numArray8, numArray12, zz);
            SecP256R1Field.Reduce32(Nat256.AddBothTo(numArray13, numArray13, numArray12), numArray12);
            SecP256R1FieldElement element7 = new SecP256R1FieldElement(x);

            SecP256R1Field.Square(numArray10, element7.x);
            SecP256R1Field.Subtract(element7.x, numArray12, element7.x);
            SecP256R1FieldElement y = new SecP256R1FieldElement(numArray12);

            SecP256R1Field.Subtract(numArray13, element7.x, y.x);
            SecP256R1Field.MultiplyAddToExt(y.x, numArray10, zz);
            SecP256R1Field.Reduce(zz, y.x);
            SecP256R1FieldElement element9 = new SecP256R1FieldElement(z);

            if (!isOne)
            {
                SecP256R1Field.Multiply(element9.x, element5.x, element9.x);
            }
            if (!flag2)
            {
                SecP256R1Field.Multiply(element9.x, element6.x, element9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[] { element9 };
            return(new SecP256R1Point(curve, element7, y, zs, base.IsCompressed));
        }
Esempio n. 14
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 public override ECFieldElement Subtract(ECFieldElement b)
 {
     uint[] z = Nat256.Create();
     SecP256R1Field.Subtract(x, ((SecP256R1FieldElement)b).x, z);
     return(new SecP256R1FieldElement(z));
 }
Esempio n. 15
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        public override ECPoint Add(ECPoint b)
        {
            if (base.IsInfinity)
            {
                return(b);
            }
            if (b.IsInfinity)
            {
                return(this);
            }
            if (this == b)
            {
                return(Twice());
            }
            ECCurve curve = Curve;
            SecP256R1FieldElement secP256R1FieldElement  = (SecP256R1FieldElement)base.RawXCoord;
            SecP256R1FieldElement secP256R1FieldElement2 = (SecP256R1FieldElement)base.RawYCoord;
            SecP256R1FieldElement secP256R1FieldElement3 = (SecP256R1FieldElement)b.RawXCoord;
            SecP256R1FieldElement secP256R1FieldElement4 = (SecP256R1FieldElement)b.RawYCoord;
            SecP256R1FieldElement secP256R1FieldElement5 = (SecP256R1FieldElement)base.RawZCoords[0];
            SecP256R1FieldElement secP256R1FieldElement6 = (SecP256R1FieldElement)b.RawZCoords[0];

            uint[] array  = Nat256.CreateExt();
            uint[] array2 = Nat256.Create();
            uint[] array3 = Nat256.Create();
            uint[] array4 = Nat256.Create();
            bool   isOne  = secP256R1FieldElement5.IsOne;

            uint[] array5;
            uint[] array6;
            if (isOne)
            {
                array5 = secP256R1FieldElement3.x;
                array6 = secP256R1FieldElement4.x;
            }
            else
            {
                array6 = array3;
                SecP256R1Field.Square(secP256R1FieldElement5.x, array6);
                array5 = array2;
                SecP256R1Field.Multiply(array6, secP256R1FieldElement3.x, array5);
                SecP256R1Field.Multiply(array6, secP256R1FieldElement5.x, array6);
                SecP256R1Field.Multiply(array6, secP256R1FieldElement4.x, array6);
            }
            bool isOne2 = secP256R1FieldElement6.IsOne;

            uint[] array7;
            uint[] array8;
            if (isOne2)
            {
                array7 = secP256R1FieldElement.x;
                array8 = secP256R1FieldElement2.x;
            }
            else
            {
                array8 = array4;
                SecP256R1Field.Square(secP256R1FieldElement6.x, array8);
                array7 = array;
                SecP256R1Field.Multiply(array8, secP256R1FieldElement.x, array7);
                SecP256R1Field.Multiply(array8, secP256R1FieldElement6.x, array8);
                SecP256R1Field.Multiply(array8, secP256R1FieldElement2.x, array8);
            }
            uint[] array9 = Nat256.Create();
            SecP256R1Field.Subtract(array7, array5, array9);
            uint[] array10 = array2;
            SecP256R1Field.Subtract(array8, array6, array10);
            if (Nat256.IsZero(array9))
            {
                if (Nat256.IsZero(array10))
                {
                    return(Twice());
                }
                return(curve.Infinity);
            }
            uint[] array11 = array3;
            SecP256R1Field.Square(array9, array11);
            uint[] array12 = Nat256.Create();
            SecP256R1Field.Multiply(array11, array9, array12);
            uint[] array13 = array3;
            SecP256R1Field.Multiply(array11, array7, array13);
            SecP256R1Field.Negate(array12, array12);
            Nat256.Mul(array8, array12, array);
            uint x = Nat256.AddBothTo(array13, array13, array12);

            SecP256R1Field.Reduce32(x, array12);
            SecP256R1FieldElement secP256R1FieldElement7 = new SecP256R1FieldElement(array4);

            SecP256R1Field.Square(array10, secP256R1FieldElement7.x);
            SecP256R1Field.Subtract(secP256R1FieldElement7.x, array12, secP256R1FieldElement7.x);
            SecP256R1FieldElement secP256R1FieldElement8 = new SecP256R1FieldElement(array12);

            SecP256R1Field.Subtract(array13, secP256R1FieldElement7.x, secP256R1FieldElement8.x);
            SecP256R1Field.MultiplyAddToExt(secP256R1FieldElement8.x, array10, array);
            SecP256R1Field.Reduce(array, secP256R1FieldElement8.x);
            SecP256R1FieldElement secP256R1FieldElement9 = new SecP256R1FieldElement(array9);

            if (!isOne)
            {
                SecP256R1Field.Multiply(secP256R1FieldElement9.x, secP256R1FieldElement5.x, secP256R1FieldElement9.x);
            }
            if (!isOne2)
            {
                SecP256R1Field.Multiply(secP256R1FieldElement9.x, secP256R1FieldElement6.x, secP256R1FieldElement9.x);
            }
            ECFieldElement[] zs = new ECFieldElement[1] {
                secP256R1FieldElement9
            };
            return(new SecP256R1Point(curve, secP256R1FieldElement7, secP256R1FieldElement8, zs, base.IsCompressed));
        }
Esempio n. 16
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        public override ECPoint Twice()
        {
            if (base.IsInfinity)
            {
                return(this);
            }
            ECCurve curve = Curve;
            SecP256R1FieldElement secP256R1FieldElement = (SecP256R1FieldElement)base.RawYCoord;

            if (secP256R1FieldElement.IsZero)
            {
                return(curve.Infinity);
            }
            SecP256R1FieldElement secP256R1FieldElement2 = (SecP256R1FieldElement)base.RawXCoord;
            SecP256R1FieldElement secP256R1FieldElement3 = (SecP256R1FieldElement)base.RawZCoords[0];

            uint[] array  = Nat256.Create();
            uint[] array2 = Nat256.Create();
            uint[] array3 = Nat256.Create();
            SecP256R1Field.Square(secP256R1FieldElement.x, array3);
            uint[] array4 = Nat256.Create();
            SecP256R1Field.Square(array3, array4);
            bool isOne = secP256R1FieldElement3.IsOne;

            uint[] array5 = secP256R1FieldElement3.x;
            if (!isOne)
            {
                array5 = array2;
                SecP256R1Field.Square(secP256R1FieldElement3.x, array5);
            }
            SecP256R1Field.Subtract(secP256R1FieldElement2.x, array5, array);
            uint[] array6 = array2;
            SecP256R1Field.Add(secP256R1FieldElement2.x, array5, array6);
            SecP256R1Field.Multiply(array6, array, array6);
            uint x = Nat256.AddBothTo(array6, array6, array6);

            SecP256R1Field.Reduce32(x, array6);
            uint[] array7 = array3;
            SecP256R1Field.Multiply(array3, secP256R1FieldElement2.x, array7);
            x = Nat.ShiftUpBits(8, array7, 2, 0u);
            SecP256R1Field.Reduce32(x, array7);
            x = Nat.ShiftUpBits(8, array4, 3, 0u, array);
            SecP256R1Field.Reduce32(x, array);
            SecP256R1FieldElement secP256R1FieldElement4 = new SecP256R1FieldElement(array4);

            SecP256R1Field.Square(array6, secP256R1FieldElement4.x);
            SecP256R1Field.Subtract(secP256R1FieldElement4.x, array7, secP256R1FieldElement4.x);
            SecP256R1Field.Subtract(secP256R1FieldElement4.x, array7, secP256R1FieldElement4.x);
            SecP256R1FieldElement secP256R1FieldElement5 = new SecP256R1FieldElement(array7);

            SecP256R1Field.Subtract(array7, secP256R1FieldElement4.x, secP256R1FieldElement5.x);
            SecP256R1Field.Multiply(secP256R1FieldElement5.x, array6, secP256R1FieldElement5.x);
            SecP256R1Field.Subtract(secP256R1FieldElement5.x, array, secP256R1FieldElement5.x);
            SecP256R1FieldElement secP256R1FieldElement6 = new SecP256R1FieldElement(array6);

            SecP256R1Field.Twice(secP256R1FieldElement.x, secP256R1FieldElement6.x);
            if (!isOne)
            {
                SecP256R1Field.Multiply(secP256R1FieldElement6.x, secP256R1FieldElement3.x, secP256R1FieldElement6.x);
            }
            return(new SecP256R1Point(curve, secP256R1FieldElement4, secP256R1FieldElement5, new ECFieldElement[1] {
                secP256R1FieldElement6
            }, base.IsCompressed));
        }
Esempio n. 17
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 public static void Multiply(uint[] x, uint[] y, uint[] z)
 {
     uint[] array = Nat256.CreateExt();
     Nat256.Mul(x, y, array);
     SecP256R1Field.Reduce(array, z);
 }
Esempio n. 18
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 public static void Square(uint[] x, uint[] z)
 {
     uint[] array = Nat256.CreateExt();
     Nat256.Square(x, array);
     SecP256R1Field.Reduce(array, z);
 }
Esempio n. 19
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 public override ECFieldElement Multiply(ECFieldElement b)
 {
     uint[] z = Nat256.Create();
     SecP256R1Field.Multiply(x, ((SecP256R1FieldElement)b).x, z);
     return(new SecP256R1FieldElement(z));
 }
Esempio n. 20
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 public override ECFieldElement RandomFieldElement(SecureRandom r)
 {
     uint[] x = Nat256.Create();
     SecP256R1Field.Random(r, x);
     return(new SecP256R1FieldElement(x));
 }