private static void findField()
{
int size = 5;
long[,] addOp = new long[size, size];
long[,] multOp = new long[size, size];
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
for (int res = 0; res < size; res++)
{
for (int i1 = 0; i1 < size; i1++)
{
for (int j1 = 0; j1 < size; j1++)
{
for (int res1 = 0; res1 < size; res1++)
{
addOp[i, j] = res;
multOp[i1, j1] = res1;
FiniteRing finitRing = new FiniteRing(addOp, multOp);
if (finitRing.CheckField() == null)
{
System.Console.WriteLine(addOp);
System.Console.WriteLine(multOp);
}
}
}
}
}
}
}
}
//private List<Polynom<long, ZnRing>> BatlerTest(Polynom<long, ZnRing> fx, long p)
//{
// var _res = new List<Polynom<long, ZnRing>>();
// var _ring = new ZnRing(p);
// var _pring = new Rx<long, ZnRing>(_ring);
// var _derivative = fx.Derivative;
// var _gcd = Polynom<long, ZnRing>.GetGcd(fx, _derivative);
// if (_gcd.Degree > 0)
// {
// if (_derivative != _pring.Zero)
// {
// _res.Add(_gcd);
// _res.Add(fx.Div(_gcd, null));
// return _res;
// }
// else
// {
// var c = fx.Degree / p;
// var _pol = new Polynom<long, ZnRing>(_ring, (int)c);
// var _coeff = new List<long>();
// for(var i = 0; i < c; i++)
// {
// }
// }
// }
// return _res;
//}
private static void testCheckField()
{
long[,] addOp =
{
{ 0, 1, 2, 3, 4 },
{ 1, 2, 3, 4, 0 },
{ 2, 3, 4, 0, 1 },
{ 3, 4, 0, 1, 2 },
{ 4, 0, 1, 2, 3 }
};
long[,] multOp =
{
{ 0, 0, 0, 0, 0 },
{ 0, 1, 2, 3, 4 },
{ 0, 2, 4, 1, 3 },
{ 0, 3, 1, 4, 2 },
{ 0, 4, 3, 2, 1 }
};
FiniteRing finitRing = new FiniteRing(addOp, multOp);
String result = finitRing.CheckField();
if (result == null)
{
System.Console.WriteLine("Ring is Field!");
}
System.Console.WriteLine(result);
}