public void Conjugate_a_purely_imaginary_number()
{
var sut = new ComplexNumber(0, 5);
var expected = new ComplexNumber(0, -5);
Assert.Equal(expected.Real, sut.Conjugate().Real, precision: 7);
Assert.Equal(expected.Imaginary, sut.Conjugate().Imaginary, precision: 7);
}
public void Conjugate_a_number_with_real_and_imaginary_part()
{
var sut = new ComplexNumber(1, 1);
var expected = new ComplexNumber(1, -1);
Assert.Equal(expected.Real, sut.Conjugate().Real, precision: 7);
Assert.Equal(expected.Imaginary, sut.Conjugate().Imaginary, precision: 7);
}
public void Conjugate_a_purely_real_number()
{
var sut = new ComplexNumber(5, 0);
var expected = new ComplexNumber(5, 0);
Assert.Equal(expected.Real(), sut.Conjugate().Real(), precision: 7);
Assert.Equal(expected.Imaginary(), sut.Conjugate().Imaginary(), precision: 7);
}
public void MethodTests()
{
// Try and parse a b-positive and a b-negative complex numbers from two strings
String bPositive = "1 + 5i";
String bNegative = "1 - 3i";
// Try and calculate a b-positive and a b-negative conjugate
ComplexNumber bpComplex = new ComplexNumber(1, 3);
ComplexNumber bnComplex = new ComplexNumber(-3, -2);
// Parse the thingies
ComplexNumber result1 = ComplexNumber.ParseFromString(bPositive);
ComplexNumber result2 = ComplexNumber.ParseFromString(bNegative);
// Calculate the conjugate
ComplexNumber bpConjugate = bpComplex.Conjugate();
ComplexNumber bnConjugate = bnComplex.Conjugate();
// What do we expect?
ComplexNumber expected1 = new ComplexNumber(1, 5);
ComplexNumber expected2 = new ComplexNumber(1, -3);
ComplexNumber ebpConjugate = new ComplexNumber(1, -3);
ComplexNumber ebnConjugate = new ComplexNumber(-3, 2);
// Do the opposite (complex -> string) with the same numbers
String fromComplex1 = expected1.ToString();
String fromComplex2 = expected2.ToString();
// Run the tests
ComplexNumber.AssertEqualty(expected1, result1);
ComplexNumber.AssertEqualty(expected2, result2);
Assert.AreEqual(bPositive, fromComplex1);
Assert.AreEqual(bNegative, fromComplex2);
ComplexNumber.AssertEqualty(ebpConjugate, bpConjugate);
ComplexNumber.AssertEqualty(ebnConjugate, bnConjugate);
}
public void ConjugateTest()
{
_testVar = new ComplexNumber(2, 2);
_testVar = _testVar.Conjugate();
Assert.Equal(2, _testVar.RealPart);
Assert.Equal(-2, _testVar.ImagPart);
}
public ComplexNumber Div(ComplexNumber other)
{
var con = other.Conjugate();
var numFirsts = _real * con._real;
var numOuters = _real * con._imaginary;
var numInners = _imaginary * con._real;
var numLasts = _imaginary * con._imaginary * -1;
var domFirsts = other._real * con._real;
var domOuters = other._real * con._imaginary; // not required as it cancels out domInners
var domInners = other._imaginary * con._real; // see above
var domLasts = other._imaginary * con._imaginary * -1;
var numA = numFirsts + numLasts;
var numB = numOuters + numInners;
var dom = domFirsts + domLasts;
return(new ComplexNumber(numA / dom, numB / dom));
}
public void ConjugateAndNegate()
{
Assert.IsTrue(ComplexEqual(Complex.Conjugate(complex1), ComplexNumber.Conjugate(complexNumber1)));
Assert.IsTrue(ComplexEqual(Complex.Negate(complex1), ComplexNumber.Negate(complexNumber1)));
}
public ComplexNumber Div(ComplexNumber other)
{
double denominator = other.imaginary * other.imaginary + other.real * other.real;
return(Mul(other.Conjugate()) / denominator);
}
