public void Constructor_PolynomialDivision()
{
PolynomialDivision v = _x / _y;
(v == 0).AssertIsFalse();
v.IsPolynomial.AssertIsFalse();
v.IsConstant.AssertIsFalse();
v.GetOperation('x', 'y').Value(10, 2).AssertIsEqualTo(5);
}
private static void EqualityAfterTransformation(PolynomialDivision polynomial)
{
var cartesianPoint = new Number[] { Term.x, Term.y, Term.z };
var sphericalPoint = new HypersphericalCoordinate(Term.r, new Number[] { Term.θ, Term.φ });
PolynomialDivision sphericalPolynomial = polynomial.ToSpherical(cartesianPoint, sphericalPoint);
double sqrt2 = Math.Sqrt(2);
double sqrt3 = Math.Sqrt(3);
Number polynomialResult = polynomial.GetOperation(Term.x, Term.y, Term.z).Value(sqrt2, sqrt2, 2 * sqrt3);
double sphericalResult = sphericalPolynomial.GetOperation(Term.r, Term.θ, Term.φ).Value(4, Math.PI / 4, Math.PI / 3);
polynomialResult.AssertIsEqualTo(sphericalResult);
}
public void Constructor_Default()
{
PolynomialDivision v = default;
v.AssertIsEqualTo(0);
(v == 0).AssertIsTrue();
v.IsPolynomial.AssertIsTrue();
v.IsConstant.AssertIsTrue();
v.ToString().AssertIsEqualTo("0");
v.DerivativeBy('a').AssertIsEqualTo(0);
(2 * v).AssertIsEqualTo(0);
(v / 2).AssertIsEqualTo(0);
v.GetOperation().Value().AssertIsEqualTo(0);
}
public void Constructor_Variable()
{
PolynomialDivision v = 'a';
(v == 0).AssertIsFalse();
v.IsConstant.AssertIsFalse();
v.IsPolynomial.AssertIsTrue();
v.ToString().AssertIsEqualTo("a");
((PolynomialTerm)v).AssertIsEqualTo('a');
v.DerivativeBy('a').AssertIsEqualTo(1);
v.DerivativeBy('b').AssertIsEqualTo(0);
(2 * v).AssertIsEqualTo(2 * Term.a);
(v / 2).AssertIsEqualTo(0.5 * Term.a);
v.GetOperation('a').Value(5).AssertIsEqualTo(5);
}
public void Constructor_Constant()
{
PolynomialDivision v = 2;
(v == 0).AssertIsFalse();
v.IsPolynomial.AssertIsTrue();
v.IsConstant.AssertIsTrue();
v.ToString().AssertIsEqualTo("2");
v.AssertIsEqualTo(2);
(1 == v).AssertIsFalse();
(0 == v).AssertIsFalse();
v.DerivativeBy('a').AssertIsEqualTo(0);
(2 * v).AssertIsEqualTo(4);
(v / 2).AssertIsEqualTo(1);
v.GetOperation().Value().AssertIsEqualTo(2);
}