Suppose we have a complex number class with real and imaginary part. We shall have to overload the addition (+) operator to add two complex number. We also have to define a function to return complex number in proper representation.

So, if the input is like c1 = 8 - 5i, c2 = 2 + 3i, then the output will be 10 - 2i.

To solve this, we will follow these steps −

• Overload the + operator and take another complex number c2 as argument

• define a complex number called ret whose real and imag are 0

• real of ret := own real + real of c2

• imag of ret := own imag + imag of c2

• return ret

Example

Let us see the following implementation to get better understanding −

#include <iostream>
#include <sstream>
#include <cmath>
using namespace std;
class Complex {
private:
int real, imag;
public:
Complex(){
real = imag = 0;
}
Complex (int r, int i){
real = r;
imag = i;
}
string to_string(){
stringstream ss;
if(imag >= 0)
ss << "(" << real << " + " << imag << "i)";
else
ss << "(" << real << " - " << abs(imag) << "i)";
return ss.str();
}
Complex operator+(Complex c2){
Complex ret;
ret.real = real + c2.real;
ret.imag = imag + c2.imag;
return ret;
}
};
int main(){
Complex c1(8,-5), c2(2,3);
Complex res = c1 + c2;
cout << res.to_string();
}


Input

c1(8,-5), c2(2,3)

Output

(10 - 2i)

Updated on: 07-Oct-2021

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