diff options
Diffstat (limited to 'crypto/src/math/ec/custom/sec/Curve25519Field.cs')
-rw-r--r-- | crypto/src/math/ec/custom/sec/Curve25519Field.cs | 159 |
1 files changed, 159 insertions, 0 deletions
diff --git a/crypto/src/math/ec/custom/sec/Curve25519Field.cs b/crypto/src/math/ec/custom/sec/Curve25519Field.cs new file mode 100644 index 000000000..be9878911 --- /dev/null +++ b/crypto/src/math/ec/custom/sec/Curve25519Field.cs @@ -0,0 +1,159 @@ +using System; +using System.Diagnostics; + +namespace Org.BouncyCastle.Math.EC.Custom.Sec +{ + internal class Curve25519Field + { + // 2^255 - 2^4 - 2^1 - 1 + internal static readonly uint[] P = new uint[]{ 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0x7FFFFFFF }; + private const int P7 = 0x7FFFFFFF; + private static readonly uint[] PExt = new uint[]{ 0x00000169, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0x3FFFFFFF }; + private const uint PInv = 0x13; + + public static void Add(uint[] x, uint[] y, uint[] z) + { + Nat256.Add(x, y, z); + if (Nat256.Gte(z, P)) + { + Nat256.AddWord(PInv, z, 0); + z[7] &= P7; + } + } + + public static void AddExt(uint[] xx, uint[] yy, uint[] zz) + { + Nat256.AddExt(xx, yy, zz); + if (Nat256.GteExt(zz, PExt)) + { + Nat256.SubExt(zz, PExt, zz); + } + } + + public static void AddOne(uint[] x, uint[] z) + { + Nat256.Copy(x, z); + Nat256.Inc(z, 0); + if (Nat256.Gte(z, P)) + { + Nat256.AddWord(PInv, z, 0); + z[7] &= P7; + } + } + + public static uint[] FromBigInteger(BigInteger x) + { + uint[] z = Nat256.FromBigInteger(x); + if (Nat256.Gte(z, P)) + { + Nat256.AddWord(PInv, z, 0); + z[7] &= P7; + } + return z; + } + + public static void Half(uint[] x, uint[] z) + { + if ((x[0] & 1) == 0) + { + Nat.ShiftDownBit(8, x, 0, z); + } + else + { + Nat256.Add(x, P, z); + Nat.ShiftDownBit(8, z, 0); + } + } + + public static void Multiply(uint[] x, uint[] y, uint[] z) + { + uint[] tt = Nat256.CreateExt(); + Nat256.Mul(x, y, tt); + Reduce(tt, z); + } + + public static void Negate(uint[] x, uint[] z) + { + if (Nat256.IsZero(x)) + { + Nat256.Zero(z); + } + else + { + Nat256.Sub(P, x, z); + } + } + + public static void Reduce(uint[] xx, uint[] z) + { + Debug.Assert(xx[15] >> 30 == 0); + + uint xx07 = xx[7]; + Nat.ShiftUpBit(8, xx, 8, xx07, z); + uint c = Nat256.MulByWordAddTo(PInv, xx, z) << 1; + uint z07 = z[7]; + z[7] = z07 & P7; + c += (z07 >> 31) - (xx07 >> 31); + Nat256.AddWord(c * PInv, z, 0); + if (Nat256.Gte(z, P)) + { + Nat256.AddWord(PInv, z, 0); + z[7] &= P7; + } + } + + public static void Square(uint[] x, uint[] z) + { + uint[] tt = Nat256.CreateExt(); + Nat256.Square(x, tt); + Reduce(tt, z); + } + + public static void SquareN(uint[] x, int n, uint[] z) + { + // assert n > 0; + + uint[] tt = Nat256.CreateExt(); + Nat256.Square(x, tt); + Reduce(tt, z); + + while (--n > 0) + { + Nat256.Square(z, tt); + Reduce(tt, z); + } + } + + public static void Subtract(uint[] x, uint[] y, uint[] z) + { + int c = Nat256.Sub(x, y, z); + if (c != 0) + { + Nat256.SubWord(PInv, z, 0); + z[7] &= P7; + } + } + + public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) + { + int c = Nat256.SubExt(xx, yy, zz); + if (c != 0) + { + Nat256.AddExt(zz, PExt, zz); + } + } + + public static void Twice(uint[] x, uint[] z) + { + Nat256.ShiftUpBit(x, 0, z); + if (Nat256.Gte(z, P)) + { + Nat256.AddWord(PInv, z, 0); + z[7] &= P7; + } + } + } +} |