123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184 |
- #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
- using System;
- using System.Diagnostics;
- using Org.BouncyCastle.Math.Raw;
- namespace Org.BouncyCastle.Math.EC.Custom.Sec
- {
- internal class SecP256K1Field
- {
- // 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
- internal static readonly uint[] P = new uint[]{ 0xFFFFFC2F, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF };
- internal static readonly uint[] PExt = new uint[]{ 0x000E90A1, 0x000007A2, 0x00000001, 0x00000000, 0x00000000,
- 0x00000000, 0x00000000, 0x00000000, 0xFFFFF85E, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF };
- private static readonly uint[] PExtInv = new uint[]{ 0xFFF16F5F, 0xFFFFF85D, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF,
- 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x000007A1, 0x00000002 };
- private const uint P7 = 0xFFFFFFFF;
- private const uint PExt15 = 0xFFFFFFFF;
- private const uint PInv33 = 0x3D1;
- public static void Add(uint[] x, uint[] y, uint[] z)
- {
- uint c = Nat256.Add(x, y, z);
- if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P)))
- {
- Nat.Add33To(8, PInv33, z);
- }
- }
- public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
- {
- uint c = Nat.Add(16, xx, yy, zz);
- if (c != 0 || (zz[15] == PExt15 && Nat.Gte(16, zz, PExt)))
- {
- if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
- {
- Nat.IncAt(16, zz, PExtInv.Length);
- }
- }
- }
- public static void AddOne(uint[] x, uint[] z)
- {
- uint c = Nat.Inc(8, x, z);
- if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P)))
- {
- Nat.Add33To(8, PInv33, z);
- }
- }
- public static uint[] FromBigInteger(BigInteger x)
- {
- uint[] z = Nat256.FromBigInteger(x);
- if (z[7] == P7 && Nat256.Gte(z, P))
- {
- Nat256.SubFrom(P, z);
- }
- return z;
- }
- public static void Half(uint[] x, uint[] z)
- {
- if ((x[0] & 1) == 0)
- {
- Nat.ShiftDownBit(8, x, 0, z);
- }
- else
- {
- uint c = Nat256.Add(x, P, z);
- Nat.ShiftDownBit(8, z, c);
- }
- }
- 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 MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
- {
- uint c = Nat256.MulAddTo(x, y, zz);
- if (c != 0 || (zz[15] == PExt15 && Nat.Gte(16, zz, PExt)))
- {
- if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
- {
- Nat.IncAt(16, zz, PExtInv.Length);
- }
- }
- }
- 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)
- {
- ulong cc = Nat256.Mul33Add(PInv33, xx, 8, xx, 0, z, 0);
- uint c = Nat256.Mul33DWordAdd(PInv33, cc, z, 0);
- Debug.Assert(c == 0 || c == 1);
- if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P)))
- {
- Nat.Add33To(8, PInv33, z);
- }
- }
- public static void Reduce32(uint x, uint[] z)
- {
- if ((x != 0 && Nat256.Mul33WordAdd(PInv33, x, z, 0) != 0)
- || (z[7] == P7 && Nat256.Gte(z, P)))
- {
- Nat.Add33To(8, PInv33, z);
- }
- }
- 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)
- {
- Debug.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)
- {
- Nat.Sub33From(8, PInv33, z);
- }
- }
- public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
- {
- int c = Nat.Sub(16, xx, yy, zz);
- if (c != 0)
- {
- if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0)
- {
- Nat.DecAt(16, zz, PExtInv.Length);
- }
- }
- }
- public static void Twice(uint[] x, uint[] z)
- {
- uint c = Nat.ShiftUpBit(8, x, 0, z);
- if (c != 0 || (z[7] == P7 && Nat256.Gte(z, P)))
- {
- Nat.Add33To(8, PInv33, z);
- }
- }
- }
- }
- #endif
|