**I mostly need help with the parts before the main function Implement a class t

Question

**I mostly need help with the parts before the main function

Implement a class that allows addition, multiplication, etc. for complex numbers.

Addition: c1 + c2 = (R(c1) + R(c2)) + (I(c1) + I(c2))i

Subtraction:c1 + c2 = (R(c1) + R(c2)) + (I(c1) + I(c2))i

Multiplication: c1 + c2 = (R(c1) + R(c2)) + (I(c1) + I(c2))i

Division: (c1/c2)=[(R(c1)R(c2)+I(c1)I(c2))/(R(c2)^2+I(c2)^2)] + [(I(c1)R(c2)-R(c1)I(c2))/(R(c2)^2+I(c2)^2)]i

The template was given:

#include<iostream>
#include<cmath>

using namespace std;

//Defination of the class Complex
class Complex
{
//private member variables
private:
double real;
double imag;
//public functions
public:
Complex(void);
Complex(double,double);
void SetReal(double);
void SetImag(double);
double GetReal(void);
double GetImag(void);
void ComplexAdd(Complex,Complex);
void ComplexSub(Complex,Complex);
void ComplexMul(Complex,Complex);
void ComplexDiv(Complex, Complex);
};

Complex::Complex()
{
???
???
}

Complex::Complex(double a,double b)
{
???
???
}

void Complex::SetReal(double a)
{
???
}

void Complex::SetImag(double a)
{
???
}

double Complex::GetReal()
{
???
}

double Complex::GetImag()
{
???
}

void Complex::ComplexAdd(Complex c1,Complex c2)
{
???
???
}

void Complex::ComplexSub(Complex c1,Complex c2)
{
???
???
}

void Complex::ComplexMul(Complex c1,Complex c2)
{
???
???
}

void Complex::ComplexDiv(Complex c1,Complex c2)
{
???
???
}

int main()
{
//Declare two complex objects
???
  
//Declare 4 double variables to store the real and imainary part of two complex objects
???
  
//Prompt user to enter the real and imaginary part of the two complex number
???
???
  
//Set the real and imaginary part of the two complex number
???
???

//Declare a complex objects that will store the arithmetic operation of the two complex objects already defined
???
  
//Add the two complex objects and display
???
???
  
//Subtract the two complex objects and display
???
???
  
//Multiply the two complex objects and display
???
???
  
//Divide the two complex objects and display
???
???
system("pause");
return 0;
}

Explanation / Answer

#include<iostream>
#include<cmath>

using namespace std;

//Defination of the class Complex
class Complex
{
//private member variables
private:
double real;
double imag;
//public functions
public:
Complex(void);
Complex(double,double);
void SetReal(double);
void SetImag(double);
double GetReal(void);
double GetImag(void);
void ComplexAdd(Complex,Complex);
void ComplexSub(Complex,Complex);
void ComplexMul(Complex,Complex);
void ComplexDiv(Complex, Complex);
};

Complex::Complex()
{
real=0;imag=0;
}

Complex::Complex(double a,double b)
{
real=a;imag=b;
}

void Complex::SetReal(double a)
{
real=a;
}

void Complex::SetImag(double a)
{
imag=a;
}

double Complex::GetReal()
{
return real;
}

double Complex::GetImag()
{
return imag;
}

void Complex::ComplexAdd(Complex c1,Complex c2)
{
real=(c1.GetReal()+c2.GetReal());
imag=(c1.GetImag()+c2.GetImag());
}

void Complex::ComplexSub(Complex c1,Complex c2)
{
real=(c1.GetReal()-c2.GetReal());
imag=(c1.GetImag()-c2.GetImag());
}

void Complex::ComplexMul(Complex c1,Complex c2)
{
real=((c1.GetReal()*c2.GetReal())-(c1.GetImag()*c2.GetImag()));
imag=((c1.GetReal()*c2.GetImag())+(c1.GetImag()*c2.GetReal()));
}

void Complex::ComplexDiv(Complex c1,Complex c2)
{
real=(((c1.GetReal()*c2.GetReal())+(c1.GetImag()*c2.GetImag()))/((c2.GetReal()*c2.GetReal())+(c2.GetImag()*c2.GetImag())));
imag=(((c2.GetReal()*c1.GetImag())-(c1.GetReal()*c2.GetImag()))/((c2.GetReal()*c2.GetReal())+(c2.GetImag()*c2.GetImag())));
}

int main()
{
Complex a,b;
  
double ra,ia,rb,ib;
  
cout<<"Enter real and imaginary parts of first complex number"<<endl;
cin>>ra>>ia;
cout<<"Enter real and imaginary parts of second complex number"<<endl;
cin>>rb>>ib;
  
a.SetReal(ra);
a.SetImag(ia);
b.SetReal(rb);
b.SetImag(ib);

Complex add,sub,mul,div;
  
add.ComplexAdd(a,b);
cout<<"a+b="<<add.GetReal()<<"+"<<add.GetImag()<<"i"<<endl;
  
sub.ComplexSub(a,b);
cout<<"a-b="<<sub.GetReal()<<"+"<<sub.GetImag()<<"i"<<endl;
  
mul.ComplexMul(a,b);
cout<<"a*b="<<mul.GetReal()<<"+"<<mul.GetImag()<<"i"<<endl;
  
div.ComplexDiv(a,b);
cout<<"a/b="<<div.GetReal()<<"+"<<div.GetImag()<<"i"<<endl;
system("pause");
return 0;
}

Sample output:

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