#include "comp.h"
#include <math.h>
#include <iostream.h>

//const double pi = 3.14159265358979323846;

double comp::absValue() { 
    return sqrt(pow(imag(),2.)+pow(real(),2.));
};

double comp::angle() { 
   return atan(imag()/real());
}

void comp::print() {
   cout << "Realteil: " << real() << "   Imaginaerteil: " << imag() << endl;
   cout << "Winkel (Bogenmass): " << angle() << "   Betrag: " << absValue() << endl;
}

comp operator + ( comp a1, comp a2) {
return comp(a1.real() + a2.real(), a1.imag() + a2.imag());
}

comp operator * ( comp a1, comp a2) {
return comp(a1.real() * a2.real() - a1.imag() * a2.imag(),
                         a1.real() * a2.imag() + a1.imag() * a2.real());
}