SecT113Field
using Org.BouncyCastle.Math.Raw;
using Org.BouncyCastle.Runtime.Intrinsics;
using Org.BouncyCastle.Runtime.Intrinsics.X86;
using System;
using System.Runtime.InteropServices;
using System.Runtime.Intrinsics;
using System.Runtime.Intrinsics.X86;
namespace Org.BouncyCastle.Math.EC.Custom.Sec
{
internal static class SecT113Field
{
private const ulong M49 = 562949953421311;
private const ulong M57 = 144115188075855871;
public static void Add(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> z)
{
z[0] = (x[0] ^ y[0]);
z[1] = (x[1] ^ y[1]);
}
public static void AddBothTo(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> z)
{
z[0] ^= (x[0] ^ y[0]);
z[1] ^= (x[1] ^ y[1]);
}
public static void AddExt(ReadOnlySpan<ulong> xx, ReadOnlySpan<ulong> yy, Span<ulong> zz)
{
zz[0] = (xx[0] ^ yy[0]);
zz[1] = (xx[1] ^ yy[1]);
zz[2] = (xx[2] ^ yy[2]);
zz[3] = (xx[3] ^ yy[3]);
}
public static void AddOne(ReadOnlySpan<ulong> x, Span<ulong> z)
{
z[0] = (x[0] ^ 1);
z[1] = x[1];
}
public static void AddTo(ReadOnlySpan<ulong> x, Span<ulong> z)
{
z[0] ^= x[0];
z[1] ^= x[1];
}
public static ulong[] FromBigInteger(BigInteger x)
{
return Nat.FromBigInteger64(113, x);
}
public unsafe static void HalfTrace(ReadOnlySpan<ulong> x, Span<ulong> z)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[32], 4);
Nat128.Copy64(x, z);
for (int i = 1; i < 113; i += 2) {
ImplSquare(z, span);
Reduce(span, z);
ImplSquare(z, span);
Reduce(span, z);
AddTo(x, z);
}
}
public unsafe static void Invert(ReadOnlySpan<ulong> x, Span<ulong> z)
{
if (Nat128.IsZero64(x))
throw new InvalidOperationException();
Span<ulong> span = new Span<ulong>(stackalloc byte[16], 2);
Span<ulong> span2 = new Span<ulong>(stackalloc byte[16], 2);
Square(x, span);
Multiply(span, x, span);
Square(span, span);
Multiply(span, x, span);
SquareN(span, 3, span2);
Multiply(span2, span, span2);
Square(span2, span2);
Multiply(span2, x, span2);
SquareN(span2, 7, span);
Multiply(span, span2, span);
SquareN(span, 14, span2);
Multiply(span2, span, span2);
SquareN(span2, 28, span);
Multiply(span, span2, span);
SquareN(span, 56, span2);
Multiply(span2, span, span2);
Square(span2, z);
}
public unsafe static void Multiply(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> z)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[64], 8);
ImplMultiply(x, y, span);
Reduce(span, z);
}
public unsafe static void MultiplyAddToExt(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> zz)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[64], 8);
ImplMultiply(x, y, span);
AddExt(zz, span, zz);
}
public static void MultiplyExt(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> zz)
{
ImplMultiply(x, y, zz);
}
public static void Reduce(ReadOnlySpan<ulong> xx, Span<ulong> z)
{
ulong num = xx[0];
ulong num2 = xx[1];
ulong num3 = xx[2];
ulong num4 = xx[3];
num2 ^= ((num4 << 15) ^ (num4 << 24));
num3 ^= ((num4 >> 49) ^ (num4 >> 40));
num ^= ((num3 << 15) ^ (num3 << 24));
num2 ^= ((num3 >> 49) ^ (num3 >> 40));
ulong num5 = num2 >> 49;
z[0] = (num ^ num5 ^ (num5 << 9));
z[1] = (num2 & 562949953421311);
}
public static void Reduce15(ulong[] z, int zOff)
{
ulong num = z[zOff + 1];
ulong num2 = num >> 49;
z[zOff] ^= (num2 ^ (num2 << 9));
z[zOff + 1] = (num & 562949953421311);
}
public static void Sqrt(ReadOnlySpan<ulong> x, Span<ulong> z)
{
ulong even;
ulong num = Interleave.Unshuffle(x[0], x[1], out even);
z[0] = (even ^ (num << 57) ^ (num << 5));
z[1] = ((num >> 7) ^ (num >> 59));
}
public unsafe static void Square(ReadOnlySpan<ulong> x, Span<ulong> z)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[32], 4);
ImplSquare(x, span);
Reduce(span, z);
}
public unsafe static void SquareAddToExt(ReadOnlySpan<ulong> x, Span<ulong> zz)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[32], 4);
ImplSquare(x, span);
AddExt(zz, span, zz);
}
public static void SquareExt(ReadOnlySpan<ulong> x, Span<ulong> zz)
{
ImplSquare(x, zz);
}
public unsafe static void SquareN(ReadOnlySpan<ulong> x, int n, Span<ulong> z)
{
Span<ulong> span = new Span<ulong>(stackalloc byte[32], 4);
ImplSquare(x, span);
Reduce(span, z);
while (--n > 0) {
ImplSquare(z, span);
Reduce(span, z);
}
}
public static uint Trace(ReadOnlySpan<ulong> x)
{
return (uint)((int)x[0] & 1);
}
private unsafe static void ImplMultiply(ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> zz)
{
if (Org.BouncyCastle.Runtime.Intrinsics.X86.Pclmulqdq.IsEnabled && Vector.IsPackedLittleEndian) {
Vector128<ulong> left = Vector128.Create(x[0], x[1]);
Vector128<ulong> right = Vector128.Create(y[0], y[1]);
Vector128<ulong> value = System.Runtime.Intrinsics.X86.Pclmulqdq.CarrylessMultiply(left, right, 0);
Vector128<ulong> value2 = System.Runtime.Intrinsics.X86.Sse2.Xor(System.Runtime.Intrinsics.X86.Pclmulqdq.CarrylessMultiply(left, right, 1), System.Runtime.Intrinsics.X86.Pclmulqdq.CarrylessMultiply(left, right, 16));
Vector128<ulong> value3 = System.Runtime.Intrinsics.X86.Pclmulqdq.CarrylessMultiply(left, right, 17);
value = System.Runtime.Intrinsics.X86.Sse2.Xor(value, System.Runtime.Intrinsics.X86.Sse2.ShiftLeftLogical128BitLane(value2, 8));
value3 = System.Runtime.Intrinsics.X86.Sse2.Xor(value3, System.Runtime.Intrinsics.X86.Sse2.ShiftRightLogical128BitLane(value2, 8));
Span<byte> span = MemoryMarshal.AsBytes(zz);
MemoryMarshal.Write(span.Slice(0, 16), ref value);
MemoryMarshal.Write(span.Slice(16, 16), ref value3);
} else {
ulong num = x[0];
ulong num2 = x[1];
num2 = (((num >> 57) ^ (num2 << 7)) & 144115188075855871);
num &= 144115188075855871;
ulong num3 = y[0];
ulong num4 = y[1];
num4 = (((num3 >> 57) ^ (num4 << 7)) & 144115188075855871);
num3 &= 144115188075855871;
Span<ulong> u = zz;
Span<ulong> span2 = new Span<ulong>(stackalloc byte[48], 6);
ImplMulw(u, num, num3, span2.Slice(0, span2.Length));
ImplMulw(u, num2, num4, span2.Slice(2, span2.Length - 2));
ImplMulw(u, num ^ num2, num3 ^ num4, span2.Slice(4, span2.Length - 4));
ulong num5 = span2[1] ^ span2[2];
ulong num6 = span2[0];
ulong num7 = span2[3];
ulong num8 = span2[4] ^ num6 ^ num5;
ulong num9 = span2[5] ^ num7 ^ num5;
zz[0] = (num6 ^ (num8 << 57));
zz[1] = ((num8 >> 7) ^ (num9 << 50));
zz[2] = ((num9 >> 14) ^ (num7 << 43));
zz[3] = num7 >> 21;
}
}
private static void ImplMulw(Span<ulong> u, ulong x, ulong y, Span<ulong> z)
{
u[1] = y;
u[2] = u[1] << 1;
u[3] = (u[2] ^ y);
u[4] = u[2] << 1;
u[5] = (u[4] ^ y);
u[6] = u[3] << 1;
u[7] = (u[6] ^ y);
uint num = (uint)x;
ulong num2 = 0;
ulong num3 = u[(int)(num & 7)];
int num4 = 48;
do {
num = (uint)(x >> num4);
ulong num5 = u[(int)(num & 7)] ^ (u[(int)((num >> 3) & 7)] << 3) ^ (u[(int)((num >> 6) & 7)] << 6);
num3 ^= num5 << num4;
num2 ^= num5 >> -num4;
} while ((num4 -= 9) > 0);
num2 ^= (ulong)((long)(x & 72198606942111744) & ((long)(y << 7) >> 63)) >> 8;
z[0] ^= (num3 & 144115188075855871);
z[1] ^= ((num3 >> 57) ^ (num2 << 7));
}
private static void ImplSquare(ReadOnlySpan<ulong> x, Span<ulong> zz)
{
if (Org.BouncyCastle.Runtime.Intrinsics.X86.Bmi2.X64.IsEnabled) {
zz[3] = System.Runtime.Intrinsics.X86.Bmi2.X64.ParallelBitDeposit(x[1] >> 32, 6148914691236517205);
zz[2] = System.Runtime.Intrinsics.X86.Bmi2.X64.ParallelBitDeposit(x[1], 6148914691236517205);
zz[1] = System.Runtime.Intrinsics.X86.Bmi2.X64.ParallelBitDeposit(x[0] >> 32, 6148914691236517205);
zz[0] = System.Runtime.Intrinsics.X86.Bmi2.X64.ParallelBitDeposit(x[0], 6148914691236517205);
} else
Interleave.Expand64To128(x.Slice(0, 2), zz.Slice(0, 4));
}
}
}