Question

C++

Addition of Complex Numbers

Background Knowledge

A complex number can be written in the format of , where and are real numbers.   is the imaginary unit with the property of .   is called the real part of the complex number and   is called the imaginary part of the complex number.

The addition of two complex numbers will generate a new complex number. The addition is done by adding the real parts together (the result's real part) and adding the imaginary parts together (the result's imaginary part).

  $LaTeX: \left(a_1+b_1i\right)+\left(a_2+b_2i\right)=\left(a_1+a_2\right)+\left(b_1+b_2\right)i$

The ComplexNumber Class

Define a class ComplexNumber, which has two double variables, real and imaginary, in its private section. In addition, the class should have the following functions in its public section.

1. A default constructor (no arguments) and a constructor that takes in two double variables as arguments, which represents the real and imaginary parts. You can combine the two constructors into one constructor, by setting default values for the parameters.

2. Setters and getters of the real and imaginary parts.

3. Overload the operator +, which performs the addition of two ComplexNumber objects. You should figure out all the details of the function (e.g. return type, parameters, const function or not, etc.) by yourself.

4. Overload the operator <<, which outputs a ComplexNumber to an output stream. You should figure out all the details of the function (e.g. return type, parameters, const function or not, etc.) by yourself. Please see the sample output file for the output format.

Input File

There are 4 numbers in each line of the input file, which are real part of ComplexNumber #1, imaginary part of ComplexNumber #1, real part of ComplexNumber #2, imaginary part of ComplexNumber #2, in that order from left to right.

You cannot assume how many lines the input file contains. Your program should keep reading data from the input file, until there are no more data to read in.

The main() Function

In the main() function, the program should add the two ComplexNumber objects read from each line of the input file together. The program outputs the addition result to the output file (one result per line).

a + bi vĩ--ı

Answer 1

Code

#include<iostream>
#include<fstream>
#include<string>
using namespace std;
class ComplexNumber
{
public:
   ComplexNumber(double,double);
   void setReal(double);
   void setImaginary(double);
   double getReal();
   double getImaginary();
   ComplexNumber operator +( ComplexNumber&) ;
   friend ostream& operator <<(ostream&, const ComplexNumber&);
private:
   double real;
   double imaginary;
};
ComplexNumber::ComplexNumber(double real=0,double img=0)
{
   this->real=real;
   this->imaginary=img;
}
void ComplexNumber::setReal(double real)
{
   this->real=real;
}
void ComplexNumber::setImaginary(double img)
{
   this->imaginary=img;
}
double ComplexNumber::getImaginary()
{
   return imaginary;
}
double ComplexNumber::getReal()
{
   return real;
}
ComplexNumber ComplexNumber::operator +( ComplexNumber& c2)
{
   return ComplexNumber(real + c2.real, imaginary + c2.imaginary);
}
ostream& operator <<(ostream& os, const ComplexNumber& c)
{
   os << c.real;
if (c.imaginary < 0)
os << c.imaginary << "i";
else if (c.imaginary > 0)
os << "+" << c.imaginary << "i";
return os;
}
int main()
{
   ComplexNumber c1,c2;
   ifstream inFile;
   inFile.open("inputFile.txt");
   if(!inFile)
   {
       cout<<"Can't opent the file please check file name! Exiting!!!!"<<endl;
       return 1;
   }
   double r1,r2,i1,i2;
   while(inFile>>r1>>i1>>r2>>i2)
   {
       c1.setReal(r1);
       c1.setImaginary(i1);
       c2.setReal(r2);
       c2.setImaginary(i2);
       cout<<"("<<c1<<") + ("<<c2<<") = ("<<(c1+c2)<<")"<<endl<<endl;
   }
   return 0;
}

output and text file

x | inputFile . Notepad CAMINDOwS)system32\cmd.exe (10+20i)(34+29i)(44+49i) -10+20i)+(39+77i)-(29+97i) (12-21i)(23+221) (35+1i) 12+12i) (12+12i) -(24+241) Press any key to continue Eile Edit Format Yiew Help 10 20 34 29 10 20 39 77 12 -21 23 22 12 12 12 12 Ln 1, Col 1 O Type here to search 27-04-2019 9

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