// Calculate the distance between two complex numbers
public static double getDisBtwTwoComplexNrs(ComplexNr complexNr1, ComplexNr complexNr2)
{
ComplexNr difference = complexNr2 - complexNr1;
return(roundNr(
Math.Sqrt(Math.Pow(difference.realPart, 2) + Math.Pow(difference.imaginaryPart, 2))
));
}
public virtual ComplexNr toThePower(int power)
{
ComplexNr result = this;
for (int i = 0; i < power - 1; i++)
{
result *= this;
}
return(result);
}
// Get the numbers of the trigonometric form
public Program.trigonometricForm getNrsOfTrigoForm(ComplexNr complexNr, int power)
{
double theta = Math.Atan(this.imaginaryPart / this.realPart);
double r = Math.Sqrt(Math.Pow(this.realPart, 2) + Math.Pow(this.imaginaryPart, 2));
return(new Program.trigonometricForm
{
factor = roundNr(Math.Pow(r, power)),
realPart = Math.Cos(theta * power),
imaginaryPart = Math.Sin(theta * power)
});
}
static void Main(string[] args)
{
try
{
ComplexNr complexNr1 = new ComplexNr();
ComplexNr complexNr2 = new ComplexNr(2, -3);
int realNr = 3;
Console.WriteLine($"{complexNr1} + {complexNr2} = {complexNr1 + complexNr2}");
Console.WriteLine($"{complexNr1} - {complexNr2} = {complexNr1 - complexNr2}");
Console.WriteLine($"{complexNr1} * {complexNr2} = {complexNr1 * complexNr2}");
Console.WriteLine($"{complexNr1} ^ {realNr} = {complexNr1.toThePower(realNr)}");
Console.WriteLine($"The trigonometric form: " +
$"{complexNr1.trigonometricFormToThePowerOf()}");
Console.WriteLine($"The trigonometric form to the power of {realNr}: " +
$"{complexNr1.trigonometricFormToThePowerOf(realNr)}");
Console.WriteLine();
ComplexD complexD = new ComplexD();
ComplexNr[] listOfComplexNrs = new ComplexNr[5] {
new ComplexNr(14, 6),
new ComplexNr(-12, 0),
new ComplexNr(3, 9),
new ComplexNr(5, 5),
new ComplexNr(7, 12),
};
Console.WriteLine($"{complexD} ^ {realNr} (calculated with the trigonometric" +
$" form) = {complexD.toThePower(realNr)}");
Console.WriteLine($"The distance between the complex number and a set of complex" +
$" numbers is {complexD.getDisBtwCompAndSet(listOfComplexNrs)}");
}
catch (ArgumentException error)
{
Console.WriteLine(error.Message);
}
}