public void TestOperations()
{
PolyNumber x = 5;
var y = x.Root(3) + x.Root(2) - 1;
var exp = Math.Pow(5, 1 / 3.0) + Math.Pow(5, 1 / 2.0) - 1;
y.HasValueNear(exp.HackFix_ToApproxBigRational()).AssertTrue();
}
public void TestAdd1()
{
PolyNumber x1 = 1;
PolyNumber x2 = 2;
var x3 = x1 + x2;
x3.HasValue(3).AssertTrue();
}
public void TestSubtract1()
{
PolyNumber x1 = 1;
PolyNumber x2 = 2;
var x3 = x1 - x2;
x3.HasValue(-1).AssertTrue();
}
public void TestMultiplicativeInverse()
{
((PolyNumber)1).MultiplicativeInverse().HasValue(1).AssertTrue();
((PolyNumber)2).MultiplicativeInverse().HasValue(new BigRational(1, 2)).AssertTrue();
var p = new PolyNumber(Polynomial.FromRoots(1, 2, new BigRational(3, 5))).MultiplicativeInverse();
p.HasValue(1).AssertTrue();
p.HasValue(new BigRational(1, 2)).AssertTrue();
p.HasValue(new BigRational(5, 3)).AssertTrue();
p.Constraint.Degree().AssertEquals((BigInteger)3);
}
public void TestConvert()
{
PolyNumber x = 2;
x.HasValue(2).AssertTrue();
Assert.AreEqual(x.Approximates().Single(), 2, 0.001);
PolyNumber x2 = new BigRational(3, 5);
x2.HasValue(new BigRational(3, 5)).AssertTrue();
Assert.AreEqual(x2.Approximates().Single(), 0.6, 0.001);
}
public void TestMultiply2()
{
var x = new PolyNumber(Polynomial.FromRoots(1, 4, 7)) * new PolyNumber(Polynomial.FromRoots(1, 2, 3));
x.Constraint.Degree().AssertEquals((BigInteger)9);
x.HasValue(1).AssertTrue();
x.HasValue(2).AssertTrue();
x.HasValue(3).AssertTrue();
x.HasValue(4).AssertTrue();
x.HasValue(8).AssertTrue();
x.HasValue(12).AssertTrue();
x.HasValue(7).AssertTrue();
x.HasValue(14).AssertTrue();
x.HasValue(21).AssertTrue();
}
public void TestAdd4()
{
var x = new PolyNumber(Polynomial.FromRoots(1, 4, 7)) + new PolyNumber(Polynomial.FromRoots(1, 2, 3));
x.Constraint.Degree().AssertEquals((BigInteger)9);
x.HasValue(2).AssertTrue();
x.HasValue(3).AssertTrue();
x.HasValue(4).AssertTrue();
x.HasValue(5).AssertTrue();
x.HasValue(6).AssertTrue();
x.HasValue(7).AssertTrue();
x.HasValue(8).AssertTrue();
x.HasValue(9).AssertTrue();
x.HasValue(10).AssertTrue();
}