Medium

OOP Lab 15: ComplexNumber Class Arithmetic Operators

Problem Objective

Create a ComplexNumber class to perform arithmetic operations with complex numbers in the form realPart + imaginaryPart * i:

Data Members:

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Private attributes: double realPart, double imaginaryPart.
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Constructor with default values: ComplexNumber(double r = 0.0, double i = 0.0).

Overloaded Operators:

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Addition (operator+): (a + bi) + (c + di) = (a + c) + (b + d)i
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Subtraction (operator-): (a + bi) - (c + di) = (a - c) + (b - d)i
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Multiplication (operator*): (a + bi) * (c + di) = (ac - bd) + (ad + bc)i
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Division (operator/): (a + bi) / (c + di) = [(ac + bd)/(c^2 + d^2)] + [(bc - ad)/(c^2 + d^2)]i

Display Method:

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display() const: Prints the formatted complex number (e.g. 5.00 + 1.00i or 3.00 - 5.00i).

In `main()`:

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Instantiate complex numbers c1(4.0, 3.0) and c2(1.0, -2.0).
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Compute and display results of c1 + c2, c1 - c2, c1 * c2, and c1 / c2.

Expected Terminal OutputStandard Out

c1 = 4.00 + 3.00i
c2 = 1.00 - 2.00i
c1 + c2 = 5.00 + 1.00i
c1 - c2 = 3.00 + 5.00i
c1 * c2 = 10.00 - 5.00i
c1 / c2 = -0.40 + 2.20i

[✓] ComplexNumber operator overloading verified (Time: 0.008s, Memory: 2.1 MB)

Execution Constraints

›Private double realPart and imaginaryPart
›Overload +, -, *, and / operators returning new ComplexNumber by value
›Guard against division by zero in operator/

Implementation Checklist

Define ComplexNumber class with double real and imaginary partsImplement operator+ for additionImplement operator- for subtractionImplement operator* for complex multiplicationImplement operator/ for complex divisionImplement display() constTest all overloaded operators in main()

main.cppg++ -std=c++20 -O2

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BYTESLABVirtual Laboratory

BYTESLAB/C++/OOP/LAB-34