A ComplexNumber class contains two data members : one is the real part (R) and the other is imaginary (I) (both integers). Implement the Complex numbers class that contains following functions -

PROBLEM:-

A ComplexNumber class contains two data members : one is the real part (R) and the other is imaginary (I) (both integers).

Implement the Complex numbers class that contains following functions -

1. constructor

You need to create the appropriate constructor.

2. plus -

This function adds two given complex numbers and updates the first complex number.

e.g.

if C1 = 4 + i5 and C2 = 3 +i1
C1.plus(C2) results in: 
C1 = 7 + i6 and C2 = 3 + i1

3. multiply -

This function multiplies two given complex numbers and updates the first complex number.

e.g.

if C1 = 4 + i5 and C2 = 1 + i2
C1.multiply(C2) results in: 
C1 = -6 + i13 and C2 = 1 + i2

4. print -

This function prints the given complex number in the following format :

a + ib

Note : There is space before and after '+' (plus sign) and no space between 'i' (iota symbol) and b.

Input Format :

Line 1 : Two integers - real and imaginary part of 1st complex number
Line 2 : Two integers - real and imaginary part of 2nd complex number
Line 3 : An integer representing choice (1 or 2) (1 represents plus function will be called and 2 represents multiply function will be called)

Output format :

Check details of 'print' function given above.

Sample Input 1 :

4 5
6 7
1

Sample Output 1 :

10 + i12

Sample Input 2 :

4 5
6 7
2

Sample Output 2 :

-11 + i58

SOLUTION:-

/**********
 
Following is the main function we are using internally.
Refer this for completing the ComplexNumbers class.
 
 
int main() {
    int real1, imaginary1, real2, imaginary2;
    
    cin >> real1 >> imaginary1;
    cin >> real2 >> imaginary2;
    
    ComplexNumbers c1(real1, imaginary1);
    ComplexNumbers c2(real2, imaginary2);
    
    int choice;
    cin >> choice;
    
    if(choice == 1) {
        c1.plus(c2);
        c1.print();
    }
    else if(choice == 2) {
        c1.multiply(c2);
        c1.print();
    }
    else {
        return 0;
    }
    
}
 
 ************/


class ComplexNumbers {
    // Complete this class
    private:
    int real;
    int imaginary;
    
    public:
    ComplexNumbers(int r,int i){
        real=r;
        imaginary=i;
    }
    void print(){
        cout<<real<<' '<<'+'<<' '<<'i'<<imaginary<<endl;
    }
    void plus(ComplexNumbers const &c2){
        real=real+c2.real;
        imaginary=imaginary+c2.imaginary;
    }
    void multiply(ComplexNumbers const & c2){
        int r=real*(c2.real)-imaginary*(c2.imaginary);
        imaginary=real*(c2.imaginary)+imaginary*(c2.real);
        real=r;
    }
    
    
};

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