using System; using System.Diagnostics; using Org.BouncyCastle.Math.Raw; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecP256R1Field { // 2^256 - 2^224 + 2^192 + 2^96 - 1 internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF }; internal static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE }; internal const uint P7 = 0xFFFFFFFF; internal const uint PExt15 = 0xFFFFFFFE; 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))) { AddPInvTo(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))) { Nat.SubFrom(16, PExt, zz); } } 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))) { AddPInvTo(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))) { Nat.SubFrom(16, PExt, zz); } } 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) { long xx08 = xx[8], xx09 = xx[9], xx10 = xx[10], xx11 = xx[11]; long xx12 = xx[12], xx13 = xx[13], xx14 = xx[14], xx15 = xx[15]; const long n = 6; xx08 -= n; long t0 = xx08 + xx09; long t1 = xx09 + xx10; long t2 = xx10 + xx11 - xx15; long t3 = xx11 + xx12; long t4 = xx12 + xx13; long t5 = xx13 + xx14; long t6 = xx14 + xx15; long t7 = t5 - t0; long cc = 0; cc += (long)xx[0] - t3 - t7; z[0] = (uint)cc; cc >>= 32; cc += (long)xx[1] + t1 - t4 - t6; z[1] = (uint)cc; cc >>= 32; cc += (long)xx[2] + t2 - t5; z[2] = (uint)cc; cc >>= 32; cc += (long)xx[3] + (t3 << 1) + t7 - t6; z[3] = (uint)cc; cc >>= 32; cc += (long)xx[4] + (t4 << 1) + xx14 - t1; z[4] = (uint)cc; cc >>= 32; cc += (long)xx[5] + (t5 << 1) - t2; z[5] = (uint)cc; cc >>= 32; cc += (long)xx[6] + (t6 << 1) + t7; z[6] = (uint)cc; cc >>= 32; cc += (long)xx[7] + (xx15 << 1) + xx08 - t2 - t4; z[7] = (uint)cc; cc >>= 32; cc += n; Debug.Assert(cc >= 0); Reduce32((uint)cc, z); } public static void Reduce32(uint x, uint[] z) { long cc = 0; if (x != 0) { long xx08 = x; cc += (long)z[0] + xx08; z[0] = (uint)cc; cc >>= 32; if (cc != 0) { cc += (long)z[1]; z[1] = (uint)cc; cc >>= 32; cc += (long)z[2]; z[2] = (uint)cc; cc >>= 32; } cc += (long)z[3] - xx08; z[3] = (uint)cc; cc >>= 32; if (cc != 0) { cc += (long)z[4]; z[4] = (uint)cc; cc >>= 32; cc += (long)z[5]; z[5] = (uint)cc; cc >>= 32; } cc += (long)z[6] - xx08; z[6] = (uint)cc; cc >>= 32; cc += (long)z[7] + xx08; z[7] = (uint)cc; cc >>= 32; Debug.Assert(cc == 0 || cc == 1); } if (cc != 0 || (z[7] == P7 && Nat256.Gte(z, P))) { AddPInvTo(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) { SubPInvFrom(z); } } public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz) { int c = Nat.Sub(16, xx, yy, zz); if (c != 0) { Nat.AddTo(16, PExt, zz); } } 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))) { AddPInvTo(z); } } private static void AddPInvTo(uint[] z) { long c = (long)z[0] + 1; z[0] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[1]; z[1] = (uint)c; c >>= 32; c += (long)z[2]; z[2] = (uint)c; c >>= 32; } c += (long)z[3] - 1; z[3] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[4]; z[4] = (uint)c; c >>= 32; c += (long)z[5]; z[5] = (uint)c; c >>= 32; } c += (long)z[6] - 1; z[6] = (uint)c; c >>= 32; c += (long)z[7] + 1; z[7] = (uint)c; //c >>= 32; } private static void SubPInvFrom(uint[] z) { long c = (long)z[0] - 1; z[0] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[1]; z[1] = (uint)c; c >>= 32; c += (long)z[2]; z[2] = (uint)c; c >>= 32; } c += (long)z[3] + 1; z[3] = (uint)c; c >>= 32; if (c != 0) { c += (long)z[4]; z[4] = (uint)c; c >>= 32; c += (long)z[5]; z[5] = (uint)c; c >>= 32; } c += (long)z[6] + 1; z[6] = (uint)c; c >>= 32; c += (long)z[7] - 1; z[7] = (uint)c; //c >>= 32; } } }