private static void quotiendFieldTest()
{
QuotientField <long> qf = new QuotientField <long>(new ZnRing(5));
// Console.WriteLine(qf.Prod(new Tuple<long, long>(1, 1), new Tuple<long, long>(1, 2)));
foreach (Tuple <long, long> item1 in qf.GetItems())
{
// Console.Write("({0},{1}) ", item1.Item1, item1.Item2);
foreach (Tuple <long, long> item2 in qf.GetItems())
{
Tuple <long, long> prod = qf.Prod(item1, item2);
Console.Write(prod);
}
Console.WriteLine();
}
ZnRing r = new ZnRing(5);
foreach (long item1 in r)
{
// Console.Write("({0},{1}) ", item1.Item1, item1.Item2);
foreach (long item2 in r)
{
long prod = r.Prod(item1, item2);
Console.Write("{0} ", prod);
}
Console.WriteLine();
}
}
public void TestInverse()
{
SlowOperatorBasedField<double> rationalField = new SlowOperatorBasedField<double>();
PolynomialOverFieldRing<double> rationalPolynomialRing = new PolynomialOverFieldRing<double>(rationalField);
IField<Polynomial<double>> rationalWithSqrt2Ring =
new QuotientField<Polynomial<double>>
(new PrincipalIdeal<Polynomial<double>>
(rationalPolynomialRing,
new Polynomial<double>(new double[] {-2, 0, 1}, rationalField)));
var sqrt2 = rationalField.CreateMonomial(1, 1);
var number = rationalWithSqrt2Ring.Add(sqrt2, rationalWithSqrt2Ring.Identity);
var result = rationalWithSqrt2Ring.Inverse(number);
Polynomial<double> inverse = rationalWithSqrt2Ring.Add(sqrt2,
rationalWithSqrt2Ring.Negative(
rationalWithSqrt2Ring.Identity));
Assert.IsTrue(rationalWithSqrt2Ring.Comparer.Equals
(result,
inverse));
}