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Part I EL Laboratory Solving Sudoku P1 - 1
Into the Imaginary Realm
In this lab, you will be constructing your own C++
implementation of imaginary numbers. Although
calculating in imaginary number may seem intuitive to
you, implementing imaginary number as objects in C++
requires some careful design and thinking. In other words,
this lab forces you to think in an object-oriented way about
a reasonably complex problem.
Part I EL Laboratory Solving Sudoku P1 - 2
Schedule
Preparation time : 3 hours
Lab time : 3 hours
Items provided
Tools : None
Components : None
Equipment : None
Software : Eclipse and MinGW set up for C++ projects
Items to bring
Essentials.
Before you come to the lab, it is essential that you read through this document and complete all
of the preparation work in section 2. If possible, prepare for the lab with your usual lab partner.
Only preparation which is recorded in your laboratory logbook will contribute towards your
mark for this exercise. There is no objection to several students working together on preparation,
as long as all understand the results of that work. Before starting your preparation, read through
all sections of these notes so that you are fully aware of what you will have to do in the lab.
Academic Integrity – If you undertake the preparation jointly with other
students, it is important that you acknowledge this fact in your logbook.
Similarly, you may want to use sources from the internet or books to help
answer some of the questions. Again, record any sources in your logbook.
Revision History
January 20 2020 Ivan Ling (il) First revised version of this lab created
© Electronics and Computer Science, University of Southampton
Part I EL Laboratory Solving Sudoku P1 - 3
1 Aims, Learning Outcomes and Outline
This laboratory exercise aims to:
• Introduce the concept of using objects to represent abstract mathematical domains.
• Strengthen your grasp of object-oriented programming.
• Challenge yourself to build your own tools to solve mathematical problems.
Having successfully completed the lab, you will be able to:
• Make your own complex number library and use it to solve simple problems.
• Appreciate the concept of overloading and references.
• Use function overloading for arithmetic operation on your custom datatypes.
The overall objective of the lab is to create your own complex number class and use it as a custom
datatype to solve problems involving complex numbers. Before starting this lab, you should brush
up your understanding of complex numbers.
2 Preparation
Read through the course handbook statement on safety and safe working practices, and your copy
of the standard operating procedure. Make sure that you understand how to work safely. Read
through this document so you are aware of what you will be expected to do in the lab. Read up on
operator overloading and how to overload build-in operators (+,-, *, /, ==, != , etc).
2.1 Background – Complex number operations
List down all the special operations which could be done on complex numbers. These are
operations which could not be represented by the build in operators (e.g. Re(), Im() and Mod()).
2.2 Complex Number Class
(i) Design a class to represent the complex number with appropriate constructors. Your
constructor should be overloaded appropriately with the correct overloading method.
Implement your operators as member functions in your class. You may not need to
think about the actual implementation of the function for now.
(ii) Design appropriate overloading schemes for out-of-class overloading support for
basic build-in operators.
2.3 Impedance of circuits
For this lab, we will solve a simple problem involving the impedance of an RLC circuit.
(i) How do you find the real part of impedance in an RLC circuit?
(ii) How do you calculate the imaginary part of the impedance of an RLC circuit?
(iii) Write a simple function that takes in the total series resistance, capacitance, inductance
and frequency of a series RLC circuit and convert it into impedance.
(iv) Why is impedance important in a circuit?
Part I EL Laboratory Solving Sudoku P1 - 4
3 Laboratory Work
At the start of the session make sure that you can log on to the PC and can start eclipse and set the
project to a C++ one. Code file extensions are .cpp and headers are .h. Have separate header file
for declarations of functions from their definitions.
3.1 Implement complex class
1. Using the code prepared during your lab prep, write a simple program to demonstrate each
of the functions in your class.
3.2 Convert RLC to impedance
1. Using the code from your prep, verify that your program can find the complex impedance
of a series RLC circuit.
3.3 RLC circuit simulator
1. Create a new class to represent a series RLC circuit.
2. Your constructor should be able to take in all the necessary parameters to solve an RLC
circuit.
3. Create a user interface for your circuit such that it prompts the user for the appropriate
RLC values.
4. Prompt the user for Frequency and Amplitude of the voltage source.
5. Calculate the current of the circuit in complex form.
6. Calculate the phase difference between the voltage source and the current.
4 Optional Additional Work
Marks will only be awarded for this section if you have already completed all of
Section 3 to an excellent standard and with excellent understanding.
Think of different ways to make a better representation of your circuit. For example:
You may create a separate class to represent Angle. This class should represent a number between
0-360o
, or 0 - 2π radians. After that, overload your complex class to allow the constructor to take
in values in the phasor form (Polar form, Z∠θ). Subsequently, modify your class to allow
conversion between polar and cartesian form (Z∠θ to R + jX) and vice versa.

C++程序调试、辅导data留学生编程、c++程序语言讲解 讲解Database|讲解数据库SQL

C++程序调试、辅导data留学生编程、c++程序语言讲解讲解Database|讲解数据库SQL