public void testSineRoots() {
{
// Conjugate +- 1.0i root
ComplexNumber[] roots =
new ComplexNumber[] {new ComplexNumber(0.0, 1.0), new ComplexNumber(0.0, -1.0)};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component1 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
Exponential.getSingularExponential(),
new SineAndCosine(
1.0, Polynomial.getSingularPolynomial(), Polynomial.getSingularPolynomial()));
assertTrue(solutionComponents.contains(component1));
}
{
// Double Conjugate +- 1.0i root
ComplexNumber[] roots =
new ComplexNumber[] {
new ComplexNumber(0.0, 1.0),
new ComplexNumber(0.0, -1.0),
new ComplexNumber(0.0, 1.0),
new ComplexNumber(0.0, -1.0)
};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component1 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
Exponential.getSingularExponential(),
new SineAndCosine(
1.0, Polynomial.getSingularPolynomial(), Polynomial.getSingularPolynomial()));
EquationComponent component2 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0}),
Exponential.getSingularExponential(),
new SineAndCosine(
1.0, Polynomial.getSingularPolynomial(), Polynomial.getSingularPolynomial()));
assertTrue(solutionComponents.contains(component1));
assertTrue(solutionComponents.contains(component2));
}
}
@Test
public void testFullRoots() {
ComplexNumber[] roots =
new ComplexNumber[] {
new ComplexNumber(-1.0, 1.0),
new ComplexNumber(-1.0, -1.0),
new ComplexNumber(-1.0, 1.0),
new ComplexNumber(-1.0, -1.0),
};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component1 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
new Exponential(-1.0),
new SineAndCosine(
1.0, Polynomial.getSingularPolynomial(), Polynomial.getZeroPolynomial()));
EquationComponent component2 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
new Exponential(-1.0),
new SineAndCosine(
1.0, Polynomial.getZeroPolynomial(), Polynomial.getSingularPolynomial()));
EquationComponent component3 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0}),
new Exponential(-1.0),
new SineAndCosine(
1.0, Polynomial.getSingularPolynomial(), Polynomial.getZeroPolynomial()));
EquationComponent component4 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0}),
new Exponential(-1.0),
new SineAndCosine(
1.0, Polynomial.getZeroPolynomial(), Polynomial.getSingularPolynomial()));
assertTrue(solutionComponents.contains(component1));
assertTrue(solutionComponents.contains(component2));
assertTrue(solutionComponents.contains(component3));
assertTrue(solutionComponents.contains(component4));
}
@Test
public void testExponentialRoots() {
{
ComplexNumber[] roots = new ComplexNumber[] {new ComplexNumber(1.0, 0.0)};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component =
new EquationComponent(
Polynomial.getSingularPolynomial(),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
boolean isInSet = solutionComponents.contains(component);
assertTrue(isInSet);
}
{
// Double 1.0 root
ComplexNumber[] roots =
new ComplexNumber[] {new ComplexNumber(1.0, 0.0), new ComplexNumber(1.0, 0.0)};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component1 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
EquationComponent component2 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0}),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
assertTrue(solutionComponents.contains(component1));
assertTrue(solutionComponents.contains(component2));
}
{
// Triple 1.0 root
ComplexNumber[] roots =
new ComplexNumber[] {
new ComplexNumber(1.0, 0.0), new ComplexNumber(1.0, 0.0), new ComplexNumber(1.0, 0.0)
};
SolutionBasis basis = new SolutionBasis(roots);
Set<EquationComponent> solutionComponents = basis.getSolutionComponents();
EquationComponent component1 =
new EquationComponent(
Polynomial.getSingularPolynomial(),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
EquationComponent component2 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0}),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
EquationComponent component3 =
new EquationComponent(
new Polynomial(new Double[] {1.0, 0.0, 0.0}),
new Exponential(1.0),
SineAndCosine.getSingularSineAndCosine());
assertTrue(solutionComponents.contains(component1));
assertTrue(solutionComponents.contains(component2));
assertTrue(solutionComponents.contains(component3));
}
}