diff options
Diffstat (limited to 'crypto/src/math/ec/custom')
| -rw-r--r-- | crypto/src/math/ec/custom/sec/SecP224K1Curve.cs | 93 | ||||
| -rw-r--r-- | crypto/src/math/ec/custom/sec/SecP224K1Field.cs | 150 | ||||
| -rw-r--r-- | crypto/src/math/ec/custom/sec/SecP224K1FieldElement.cs | 156 | ||||
| -rw-r--r-- | crypto/src/math/ec/custom/sec/SecP224K1Point.cs | 276 |
4 files changed, 675 insertions, 0 deletions
diff --git a/crypto/src/math/ec/custom/sec/SecP224K1Curve.cs b/crypto/src/math/ec/custom/sec/SecP224K1Curve.cs new file mode 100644 index 000000000..5d82eaed8 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/SecP224K1Curve.cs @@ -0,0 +1,93 @@ +using System; + +using Org.BouncyCastle.Math.Field; +using Org.BouncyCastle.Utilities.Encoders; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal class SecP224K1Curve + : ECCurve + { + public static readonly BigInteger q = new BigInteger(1, + Hex.Decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D")); + + private const int SECP224K1_DEFAULT_COORDS = COORD_JACOBIAN; + + protected readonly SecP224K1Point m_infinity; + + public SecP224K1Curve() + : base(FiniteFields.GetPrimeField(q)) + { + this.m_infinity = new SecP224K1Point(this, null, null); + + this.m_a = FromBigInteger(BigInteger.Zero); + this.m_b = FromBigInteger(BigInteger.ValueOf(5)); + this.m_order = new BigInteger(1, Hex.Decode("010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7")); + this.m_cofactor = BigInteger.One; + this.m_coord = SECP224K1_DEFAULT_COORDS; + } + + protected override ECCurve CloneCurve() + { + return new SecP224K1Curve(); + } + + public override bool SupportsCoordinateSystem(int coord) + { + switch (coord) + { + case COORD_JACOBIAN: + return true; + default: + return false; + } + } + + public virtual BigInteger Q + { + get { return q; } + } + + public override ECPoint Infinity + { + get { return m_infinity; } + } + + public override int FieldSize + { + get { return q.BitLength; } + } + + public override ECFieldElement FromBigInteger(BigInteger x) + { + return new SecP224K1FieldElement(x); + } + + protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, bool withCompression) + { + return new SecP224K1Point(this, x, y, withCompression); + } + + protected override ECPoint DecompressPoint(int yTilde, BigInteger X1) + { + ECFieldElement x = FromBigInteger(X1); + ECFieldElement alpha = x.Square().Multiply(x).Add(B); + ECFieldElement beta = alpha.Sqrt(); + + // + // if we can't find a sqrt we haven't got a point on the + // curve - run! + // + if (beta == null) + throw new ArithmeticException("Invalid point compression"); + + if (beta.TestBitZero() != (yTilde == 1)) + { + // Use the other root + beta = beta.Negate(); + } + + return new SecP224K1Point(this, x, beta, true); + } + } +} diff --git a/crypto/src/math/ec/custom/sec/SecP224K1Field.cs b/crypto/src/math/ec/custom/sec/SecP224K1Field.cs new file mode 100644 index 000000000..edc938d22 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/SecP224K1Field.cs @@ -0,0 +1,150 @@ +using System; +using System.Diagnostics; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal class SecP224K1Field + { + // 2^224 - 2^32 - 2^12 - 2^11 - 2^9 - 2^7 - 2^4 - 2 - 1 + internal static readonly uint[] P = new uint[]{ 0xFFFFE56D, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF }; + private const uint P6 = 0xFFFFFFFF; + private static readonly uint[] PExt = new uint[]{ 0x02C23069, 0x00003526, 0x00000001, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0xFFFFCADA, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }; + private const uint PExt13 = 0xFFFFFFFF; + private const ulong PInv = 0x0000000100001A93L; + private const uint PInv33 = 0x1A93; + + public static void Add(uint[] x, uint[] y, uint[] z) + { + uint c = Nat224.Add(x, y, z); + if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) + { + Nat224.AddDWord(PInv, z, 0); + } + } + + public static void AddExt(uint[] xx, uint[] yy, uint[] zz) + { + uint c = Nat224.AddExt(xx, yy, zz); + if (c != 0 || (zz[13] == PExt13 && Nat224.GteExt(zz, PExt))) + { + Nat224.SubExt(zz, PExt, zz); + } + } + + public static void AddOne(uint[] x, uint[] z) + { + Array.Copy(x, 0, z, 0, 8); + uint c = Nat224.Inc(z, 0); + if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) + { + Nat224.AddDWord(PInv, z, 0); + } + } + + public static uint[] FromBigInteger(BigInteger x) + { + uint[] z = Nat224.FromBigInteger(x); + if (z[6] == P6 && Nat224.Gte(z, P)) + { + Nat224.AddDWord(PInv, z, 0); + } + return z; + } + + public static void Half(uint[] x, uint[] z) + { + if ((x[0] & 1) == 0) + { + Nat224.ShiftDownBit(x, 0, z); + } + else + { + uint c = Nat224.Add(x, P, z); + Nat224.ShiftDownBit(z, c, z); + } + } + + public static void Multiply(uint[] x, uint[] y, uint[] z) + { + uint[] tt = Nat224.CreateExt(); + Nat224.Mul(x, y, tt); + Reduce(tt, z); + } + + public static void Negate(uint[] x, uint[] z) + { + if (Nat224.IsZero(x)) + { + Nat224.Zero(z); + } + else + { + Nat224.Sub(P, x, z); + } + } + + public static void Reduce(uint[] xx, uint[] z) + { + ulong c = Nat224.Mul33Add(PInv33, xx, 7, xx, 0, z, 0); + c = Nat224.Mul33DWordAdd(PInv33, c, z, 0); + + Debug.Assert(c == 0 || c == 1); + + if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) + { + Nat224.AddDWord(PInv, z, 0); + } + } + + public static void Square(uint[] x, uint[] z) + { + uint[] tt = Nat224.CreateExt(); + Nat224.Square(x, tt); + Reduce(tt, z); + } + + public static void SquareN(uint[] x, int n, uint[] z) + { + Debug.Assert(n > 0); + + uint[] tt = Nat224.CreateExt(); + Nat224.Square(x, tt); + Reduce(tt, z); + + while (--n > 0) + { + Nat224.Square(z, tt); + Reduce(tt, z); + } + } + + public static void Subtract(uint[] x, uint[] y, uint[] z) + { + int c = Nat224.Sub(x, y, z); + if (c != 0) + { + Nat224.SubDWord(PInv, z); + } + } + + public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) + { + int c = Nat224.SubExt(xx, yy, zz); + if (c != 0) + { + Nat224.AddExt(zz, PExt, zz); + } + } + + public static void Twice(uint[] x, uint[] z) + { + uint c = Nat224.ShiftUpBit(x, 0, z); + if (c != 0 || (z[6] == P6 && Nat224.Gte(z, P))) + { + Nat224.AddDWord(PInv, z, 0); + } + } + } +} diff --git a/crypto/src/math/ec/custom/sec/SecP224K1FieldElement.cs b/crypto/src/math/ec/custom/sec/SecP224K1FieldElement.cs new file mode 100644 index 000000000..cd9426769 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/SecP224K1FieldElement.cs @@ -0,0 +1,156 @@ +using System; +using System.Diagnostics; + +using Org.BouncyCastle.Utilities; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal class SecP224K1FieldElement + : ECFieldElement + { + public static readonly BigInteger Q = SecP224K1Curve.q; + + protected internal readonly uint[] x; + + public SecP224K1FieldElement(BigInteger x) + { + if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0) + throw new ArgumentException("value invalid for SecP224K1FieldElement", "x"); + + this.x = SecP224K1Field.FromBigInteger(x); + } + + public SecP224K1FieldElement() + { + this.x = Nat224.Create(); + } + + protected internal SecP224K1FieldElement(uint[] x) + { + this.x = x; + } + + public override bool IsZero + { + get { return Nat224.IsZero(x); } + } + + public override bool IsOne + { + get { return Nat224.IsOne(x); } + } + + public override bool TestBitZero() + { + return Nat224.GetBit(x, 0) == 1; + } + + public override BigInteger ToBigInteger() + { + return Nat224.ToBigInteger(x); + } + + public override string FieldName + { + get { return "SecP224K1Field"; } + } + + public override int FieldSize + { + get { return Q.BitLength; } + } + + public override ECFieldElement Add(ECFieldElement b) + { + uint[] z = Nat224.Create(); + SecP224K1Field.Add(x, ((SecP224K1FieldElement)b).x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement AddOne() + { + uint[] z = Nat224.Create(); + SecP224K1Field.AddOne(x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Subtract(ECFieldElement b) + { + uint[] z = Nat224.Create(); + SecP224K1Field.Subtract(x, ((SecP224K1FieldElement)b).x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Multiply(ECFieldElement b) + { + uint[] z = Nat224.Create(); + SecP224K1Field.Multiply(x, ((SecP224K1FieldElement)b).x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Divide(ECFieldElement b) + { + //return Multiply(b.Invert()); + uint[] z = Nat224.Create(); + Mod.Invert(SecP224K1Field.P, ((SecP224K1FieldElement)b).x, z); + SecP224K1Field.Multiply(z, x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Negate() + { + uint[] z = Nat224.Create(); + SecP224K1Field.Negate(x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Square() + { + uint[] z = Nat224.Create(); + SecP224K1Field.Square(x, z); + return new SecP224K1FieldElement(z); + } + + public override ECFieldElement Invert() + { + //return new SecP224K1FieldElement(ToBigInteger().ModInverse(Q)); + uint[] z = Nat224.Create(); + Mod.Invert(SecP224K1Field.P, x, z); + return new SecP224K1FieldElement(z); + } + + /** + * return a sqrt root - the routine verifies that the calculation returns the right value - if + * none exists it returns null. + */ + public override ECFieldElement Sqrt() + { + ECFieldElement root = new FpFieldElement(Q, ToBigInteger()).Sqrt(); + return root == null ? null : new SecP224K1FieldElement(root.ToBigInteger()); + } + + public override bool Equals(object obj) + { + return Equals(obj as SecP224K1FieldElement); + } + + public override bool Equals(ECFieldElement other) + { + return Equals(other as SecP224K1FieldElement); + } + + public virtual bool Equals(SecP224K1FieldElement other) + { + if (this == other) + return true; + if (null == other) + return false; + return Arrays.AreEqual(x, other.x); + } + + public override int GetHashCode() + { + return Q.GetHashCode() ^ Arrays.GetHashCode(x); + } + } +} diff --git a/crypto/src/math/ec/custom/sec/SecP224K1Point.cs b/crypto/src/math/ec/custom/sec/SecP224K1Point.cs new file mode 100644 index 000000000..f85c64981 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/SecP224K1Point.cs @@ -0,0 +1,276 @@ +using System; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal class SecP224K1Point + : ECPointBase + { + /** + * Create a point which encodes with point compression. + * + * @param curve + * the curve to use + * @param x + * affine x co-ordinate + * @param y + * affine y co-ordinate + * + * @deprecated Use ECCurve.createPoint to construct points + */ + public SecP224K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y) + : this(curve, x, y, false) + { + } + + /** + * Create a point that encodes with or without point compresion. + * + * @param curve + * the curve to use + * @param x + * affine x co-ordinate + * @param y + * affine y co-ordinate + * @param withCompression + * if true encode with point compression + * + * @deprecated per-point compression property will be removed, refer + * {@link #getEncoded(bool)} + */ + public SecP224K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, bool withCompression) + : base(curve, x, y, withCompression) + { + if ((x == null) != (y == null)) + throw new ArgumentException("Exactly one of the field elements is null"); + } + + internal SecP224K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, + bool withCompression) + : base(curve, x, y, zs, withCompression) + { + } + + protected override ECPoint Detach() + { + return new SecP224K1Point(null, AffineXCoord, AffineYCoord); + } + + protected internal override bool CompressionYTilde + { + get { return this.AffineYCoord.TestBitZero(); } + } + + 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; + + SecP224K1FieldElement X1 = (SecP224K1FieldElement)this.RawXCoord, Y1 = (SecP224K1FieldElement)this.RawYCoord; + SecP224K1FieldElement X2 = (SecP224K1FieldElement)b.RawXCoord, Y2 = (SecP224K1FieldElement)b.RawYCoord; + + SecP224K1FieldElement Z1 = (SecP224K1FieldElement)this.RawZCoords[0]; + SecP224K1FieldElement Z2 = (SecP224K1FieldElement)b.RawZCoords[0]; + + uint[] tt1 = Nat224.CreateExt(); + uint[] tt2 = Nat224.CreateExt(); + uint[] t3 = Nat224.Create(); + uint[] t4 = Nat224.Create(); + + bool Z1IsOne = Z1.IsOne; + uint[] U2, S2; + if (Z1IsOne) + { + U2 = X2.x; + S2 = Y2.x; + } + else + { + S2 = t3; + SecP224K1Field.Square(Z1.x, S2); + + U2 = tt2; + SecP224K1Field.Multiply(S2, X2.x, U2); + + SecP224K1Field.Multiply(S2, Z1.x, S2); + SecP224K1Field.Multiply(S2, Y2.x, S2); + } + + bool Z2IsOne = Z2.IsOne; + uint[] U1, S1; + if (Z2IsOne) + { + U1 = X1.x; + S1 = Y1.x; + } + else + { + S1 = t4; + SecP224K1Field.Square(Z2.x, S1); + + U1 = tt1; + SecP224K1Field.Multiply(S1, X1.x, U1); + + SecP224K1Field.Multiply(S1, Z2.x, S1); + SecP224K1Field.Multiply(S1, Y1.x, S1); + } + + uint[] H = Nat224.Create(); + SecP224K1Field.Subtract(U1, U2, H); + + uint[] R = tt2; + SecP224K1Field.Subtract(S1, S2, R); + + // Check if b == this or b == -this + if (Nat224.IsZero(H)) + { + if (Nat224.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; + SecP224K1Field.Square(H, HSquared); + + uint[] G = Nat224.Create(); + SecP224K1Field.Multiply(HSquared, H, G); + + uint[] V = t3; + SecP224K1Field.Multiply(HSquared, U1, V); + + Nat224.Mul(S1, G, tt1); + + SecP224K1FieldElement X3 = new SecP224K1FieldElement(t4); + SecP224K1Field.Square(R, X3.x); + SecP224K1Field.Add(X3.x, G, X3.x); + SecP224K1Field.Subtract(X3.x, V, X3.x); + SecP224K1Field.Subtract(X3.x, V, X3.x); + + SecP224K1FieldElement Y3 = new SecP224K1FieldElement(G); + SecP224K1Field.Subtract(V, X3.x, Y3.x); + Nat224.Mul(Y3.x, R, tt2); + SecP224K1Field.SubtractExt(tt2, tt1, tt2); + SecP224K1Field.Reduce(tt2, Y3.x); + + SecP224K1FieldElement Z3 = new SecP224K1FieldElement(H); + if (!Z1IsOne) + { + SecP224K1Field.Multiply(Z3.x, Z1.x, Z3.x); + } + if (!Z2IsOne) + { + SecP224K1Field.Multiply(Z3.x, Z2.x, Z3.x); + } + + ECFieldElement[] zs = new ECFieldElement[] { Z3 }; + + return new SecP224K1Point(curve, X3, Y3, zs, IsCompressed); + } + + public override ECPoint Twice() + { + if (this.IsInfinity) + return this; + + ECCurve curve = this.Curve; + + SecP224K1FieldElement Y1 = (SecP224K1FieldElement)this.RawYCoord; + if (Y1.IsZero) + return curve.Infinity; + + SecP224K1FieldElement X1 = (SecP224K1FieldElement)this.RawXCoord, Z1 = (SecP224K1FieldElement)this.RawZCoords[0]; + + uint[] Y1Squared = Nat224.Create(); + SecP224K1Field.Square(Y1.x, Y1Squared); + + uint[] T = Nat224.Create(); + SecP224K1Field.Square(Y1Squared, T); + + uint[] t1 = Nat224.Create(); + SecP224K1Field.Square(X1.x, t1); + + uint[] M = Nat224.Create(); + SecP224K1Field.Twice(t1, M); + SecP224K1Field.Add(M, t1, M); + + uint[] S = Y1Squared; + SecP224K1Field.Multiply(Y1Squared, X1.x, S); + SecP224K1Field.Twice(S, S); + SecP224K1Field.Twice(S, S); + + SecP224K1Field.Twice(T, t1); + SecP224K1Field.Twice(t1, t1); + SecP224K1Field.Twice(t1, t1); + + SecP224K1FieldElement X3 = new SecP224K1FieldElement(T); + SecP224K1Field.Square(M, X3.x); + SecP224K1Field.Subtract(X3.x, S, X3.x); + SecP224K1Field.Subtract(X3.x, S, X3.x); + + SecP224K1FieldElement Y3 = new SecP224K1FieldElement(S); + SecP224K1Field.Subtract(S, X3.x, Y3.x); + SecP224K1Field.Multiply(Y3.x, M, Y3.x); + SecP224K1Field.Subtract(Y3.x, t1, Y3.x); + + SecP224K1FieldElement Z3 = new SecP224K1FieldElement(M); + SecP224K1Field.Twice(Y1.x, Z3.x); + if (!Z1.IsOne) + { + SecP224K1Field.Multiply(Z3.x, Z1.x, Z3.x); + } + + return new SecP224K1Point(curve, X3, Y3, new ECFieldElement[] { Z3 }, IsCompressed); + } + + public override ECPoint TwicePlus(ECPoint b) + { + if (this == b) + return ThreeTimes(); + if (this.IsInfinity) + return b; + if (b.IsInfinity) + return Twice(); + + ECFieldElement Y1 = this.RawYCoord; + if (Y1.IsZero) + return b; + + return Twice().Add(b); + } + + public override ECPoint ThreeTimes() + { + if (this.IsInfinity || this.RawYCoord.IsZero) + return this; + + // NOTE: Be careful about recursions between TwicePlus and ThreeTimes + return Twice().Add(this); + } + + public override ECPoint Subtract(ECPoint b) + { + if (b.IsInfinity) + return this; + + return Add(b.Negate()); + } + + public override ECPoint Negate() + { + if (IsInfinity) + return this; + + return new SecP224K1Point(Curve, RawXCoord, RawYCoord.Negate(), RawZCoords, IsCompressed); + } + } +} |