PLEASE READ THE WHOLE ASSIGNMENT BEFORE PROGRAMMING!

You will use this test code that I provided. The program you write has to execute this code successfully as stated in the instructions

#include #include #include

int main()

{ for (double i = 1; i < 100; ++ i) { Complex a{i * 2, i + 2}; Complex b{i * 3, i + 3};

Complex c = a.add(b); std::cout << "Test case for Complex: add " << std::endl; std::cout << a.toString() << " + " << b.toString() << " = " << c.toString() << std::endl;

a.setComplexNumber(i * 2, i + 2); b.setComplexNumber(i * 3, i + 3);

std::cout << "Test case for Complex: subtract " << std::endl; c = a.subtract(b); std::cout << a.toString() << " - " << b.toString() << " = " << c.toString() << std::endl; std::cout << std::endl; }

}

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Assignment C: Complex Class

Overview

The purpose of this assignment is to make sure that you know how to write a program that uses classes or structs.

PROGRAM SPECIFICATION

For the assignment, we will write a program that creates a solution for complex numbers using classes. Create a class called Complex for performing arithmetic with complex numbers. Wikipedia says that a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i2 = 1. In this expression, a is the real part and b is the imaginary part of the complex number.

Write a program to test your class. Complex numbers have the form realPart + imaginaryPart * i

where i is:

Use double variables to represent the private data of the class.

Provide a constructor that enables an object of this class to be initialized when its declared. The constructor should contain default values in case no initializers are provided.

Provide these public member functions that perform the following tasks:

add Adding two Complex numbers: The real parts are added together and the imaginary parts are added together.

subtract Subtracting two Complex numbers: The real part of the right operand is subtracted from the real part of the left operand, and the imaginary part of the right operand is subtracted from the imaginary part of the left operand.

multiply Multiplying two Complex numbers: The real part of the right operand is multiplied by the real part of the left operand, and the imaginary part of the right operand is multiplied by the imaginary part of the left operand.

toString For printing any Complex numbers, this function returns string representations of them. Consider using std::ostringstream for this function.

setComplexNumber Set the Complex numbers in the form (a , b ), where a is the real part and b is the imaginary part. This function is used to reset the numbers between each test case to the original.

You will be given a template in the assignment folder, aptly named mainComplex. Please use this for executing your test cases. Your program will need to execute the test cases successfully.