I need help with this program. It must use a header file (Complex.h) and Complex

Question

I need help with this program. It must use a header file (Complex.h) and Complex.cpp.

The main.cpp is for part a is

#include <iostream>
using namespace std;

#include "Complex.h"

int main(void) {
   double a, b;
   const int MAX_ITERATIONS = 255;

   cout << "Enter the coefficients of a complex number: ";
   cin >> a;
   cin >> b;

   Complex c(a,b);
   Complex r(0,0);

   int i = 1;
   while (true) {
       r = r*r;
       r = r+c;
       //cout << i << " " << r << endl;
       if (r.a*r.a + r.b*r.b > 4) break;
       if (i == MAX_ITERATIONS) break;
       i++;
   }

   cout << "Num iterations: " << i << endl;
   cout << "Final value: " << r << endl;
}

CS 2433:C/C++ Programming Homework 3 : Classes The ability to define classes is an essential part of Object Oriented Programming. In C++, a class definition includes both data and methods to operate on that data. Some of the methods in C++ may be specified as overloaded operators. This is particularly convenient when the class represents a mathematical object such as a complex number, a point in 3 space, or a matrix. There are two problems in this homework. Related C++ HackerRank Class o Classes-> Structs o Classes-Class o Classes-Classes and Objects o Classes->Box It! The Mandelbrot Set (https://en.wikipedia.org/wiki/Mandelbrot set) The Mandelbrot set is a fractal defined as the set of points on the complex plane such that a particular iterated function on them does not "diverge". For a given complex number c, the iterated function is as follows: 1. Define,6(c) = (0+00 where the squaring in step 2 is done by complex number multiplication. It is known that if at any point during the iteration n (c)] becomes greater than 2, that the function will eventually diverge. Thus, a common visualization technique is to iterate until a(c) is greater than two, up to some maximum number of iterations, say 256. Pseudocode for this is given below:

Explanation / Answer

here is your files : --------->>>>>>

Complex.h : ------------->>>>>>>>

#ifndef _COMPLEX_H_
#define _COMPLEX_H_
#include<iostream>
#include<cmath>

using namespace std;

class Complex{
double real;
double image;

public:
  Complex(double r,double i);
  double length()const;
  void setReal(double r);
  void setImage(double i);
  double getReal()const;
  double getImage()const;
  Complex& operator=(const Complex &oth);
  Complex operator*(const Complex &oth);
  Complex operator+(const Complex &oth);
  friend ostream& operator<<(ostream &out,const Complex &oth);
};

#endif

Complex.cpp : ------->>>>>>>

#include "complex.h"

Complex::Complex(double r,double i){
real = r;
image = i;
}
void Complex::setImage(double i){
image = i;
}
void Complex::setReal(double r){
real = r;
}
double Complex::getImage()const{
return image;
}
double Complex::getReal()const{
return real;
}
double Complex::length()const{
return sqrt(real*real + image*image);
}
Complex& Complex::operator=(const Complex &oth){
real = oth.real;
image = oth.image;
return *this;
}
Complex Complex::operator*(const Complex &oth){
double r = (real*oth.real - image*oth.image);
double i = (real*oth.image + image*oth.real);
return Complex(r,i);
}
Complex Complex::operator+(const Complex &oth){
double r = real + oth.real;
double i = image + oth.image;

return Complex(r,i);
}

ostream& operator<<(ostream &out,const Complex &oth){
if(oth.getImage() >= 0){
  out<<"("<<oth.getReal()<<" + "<<oth.getImage()<<"i)";
}else{
  out<<"("<<oth.getReal()<<" - "<<oth.getImage()<<"i)";
}

return out;
}

main.cpp : ------------->>>>>>>>>>

#include <iostream>
using namespace std;
#include "Complex.h"
int main(void) {
double a, b;
const int MAX_ITERATIONS = 255;
cout << "Enter the coefficients of a complex number: ";
cin >> a;
cin >> b;
Complex c(a,b);
Complex r(0,0);
int i = 1;
while (true) {
  r = r*r;
  r = r+c;
  //cout << i << " " << r << endl;
  if (r.getReal()*r.getReal() + r.getImage()*r.getImage() > 4) break;
  if (i == MAX_ITERATIONS) break;
  i++;
}
cout << "Num iterations: " << i << endl;
cout << "Final value: " << r << endl;
}

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