## FAQ#

This assignment has an FAQ page.

The due date for this project is Sunday, 07/03 at midnight (Note: this is extended from Friday, 7/01). You cannot use slip days on projects, though you can turn in up to 2 days late for partial credit. If submitting with a partner, one of you should submit and add the other to your submission.

## Introduction #

In Project 1, we will build implementations of a “Double Ended Queue” using both lists and arrays in a package that other classes can use. The project is roughly split into three parts: the testing portion, the data structure portion and the application portion.

In the test writing part of the project, you will write unit tests to set goals and expectations for your finished project. You will fill in the two provided testing files, LinkedListDequeTest.java and ArrayDequeTest.java, and both will use the JUnit testing suite.

In the data structure part of the project, you will create two Java files: LinkedListDeque.java and ArrayDeque.java, with public methods listed below. You will be verifying the correctness of these data structures yourself using the randomized and timing test skills you gained from Lab 3.

In the application part of this project, you’ll create a Java file MaxArrayDeque.java as well as use your package to ultimately implement a sound synthesizer capable of playing music from Guitar Hero. You must test your MaxArrayDeque, but we’ll provide the tests for sound synthesizer.

We will provide relatively little scaffolding. In other words, we’ll say what you should do, but not how.

Additionally, we will be enforcing style. You must follow the style guide or you will lose points on the autograder.

## Getting the Skeleton Files and Working with a Partner (Applicable if you have a partner) #

As with all projects, we recommend doing pair programming for as much of the project as possible. This means that you and your partner should be on a Zoom call, where one person is typing and both are collectively deciding what to write. Some benefits of pair programming are:

• Both partners are on the same page and understand all parts of the project
• You are much more likely to catch bugs or mistakes when there are two sets of eyes
• You can discuss how to proceed, so you won’t get stuck as often
• You avoid merge conflicts.

The point about merge conflicts is especially important to avoid hassle with Git! To avoid merge conflicts, we recommend that you always clearly communicate with your partner what parts of the project you are working on, and avoid working on the same thing on each of your local computers. An example of a good workflow might be:

1. Both partners hop on a Zoom call
2. Partner1 pulls the skeleton code.
3. Both partners start thinking about what to write for the project. Partner1 types it down, acting as the scribe.
4. After working for an hour, Partner1 has to go to dinner. Partner1 pushes the code to the remote partner repository (nicknamed origin) and leaves the Zoom call.
5. Partner2 is bored and wants to keep working, so they pull from the partner repository (nicknamed origin). This gets Partner2 all the work that they just did on the Zoom call.
6. Partner2 works on ArrayDeque for a while, and lets Partner1 know.
7. After dinner, Partner1 also wants to work. They know Partner2 is currently making changes to ArrayDeque, so they decide to avoid making changes there to prevent merge conflicts. Instead, Partner1 works on LinkedListDeque.
8. Partner2 decides to go to bed. They push their changes to the remote.
9. Partner1 also finishes working on LinkedList. They try to push to the remote, but realize that the remote has changes they don’t have, so they must pull first. Partner1 pulls, and Git is able to automatically merge. Now, Partner1’s computer has the most up-to-date changes to ArrayDeque from Partner2, as well as Partner1’s changes to LinkedListDeque. Partner1 can push to the remote, and now the remote is fully up to date!

To do this, head to the folder containing your copy of your partner repository. For example, if your partnership is ‘p101’, then head to the ‘sp22-p101’ folder (or any subdirectory).

Make sure you’ve added the skeleton remote using the command git remote add skeleton https://github.com/cs61bl/skeleton-su22.git

To make sure you have the latest copy of the skeleton files, use the command:

git pull skeleton main


If you’re using a newer version of git, you might need to run:

git pull skeleton main --allow-unrelated-histories


You should now see a proj1 directory appear with two folders:

 proj1
├── deque
└── ArrayDequeTest.java
└── Deque.java
└── gh2
├── GuitarHeroLite.java
├── GuitarPlayer.java
├── GuitarString.java
├── TTFAF.java
└── TestGuitarString.java


If you get some sort of error, STOP and either figure it out by carefully reading the git guide or seek help at Lab or Ed. You’ll potentially save yourself a lot of trouble vs. guess-and-check with git commands. If you find yourself trying to use commands recommended by Google like force push, don’t. Don’t use force push, even if a post you found on Stack Overflow says to do it!

The only provided files in the skeleton are the empty testing files as well as some skeleton for the second part of this project located in the gh2 folder (guitar hero 2).

Before we get into the details of the Deque API and the implementation requirements, let’s briefly talk about packages and why we are using them in this project.

### Packages #

Part of this project is using packages to separate logic and functionality. At the end of the project, you’ll have two packages: the deque package that provides an implementation of the Deque data structure, and the gh2 package that implements a synthesizer used to play guitar hero. You should already see folders with these names in the starter code, and your job is to implement them. Let’s look at the specifics for what a package really is.

A package is a collection of Java classes that all work together towards some common goal. We’ve already seen packages in CS 61B without knowing it. For example, org.junit is a package that contains various classes useful for testing, including our familiar Assert class, which contains useful static methods like assertEquals. In other words, when we saw org.junit.Assert.assertEquals, the org.junit was the package name, Assert was the class name, and assertEquals was the method name. We call org.junit.Assert.assertEquals the “canonical name” of the method, and we call assertEquals the “simple name” of the method.

When creating a package, we specify that code is part of a package by specifying the package name at the top of the file using the package keyword. For example, if we wanted to declare that a file is part of the deque package, we’d add the following line to the top of the file.

package deque;


If a programmer wanted to use a class or method from our deque package, they would have to either use the full canonical name, e.g. deque.ArrayDeque, or alternately use import deque.ArrayDeque, at which point they could just use the simple name ArrayDeque. So import statements just allow you to use the simple name of a class/method.

Typically, package names are the internet address of the entity writing the code, but backwards. For example, the JUnit library is hosted at junit.org, so the package is called org.junit.

Why are packages useful? It all boils down to that word “canonical”. As long as no two programmers use the same package name for their package, we can freely use the same class name in several different contexts. For example, there might exist a class called com.hrblock.TaxCalculator, which is different from com.turbotax.TaxCalculator. Given the requirement to either use the full canonical name or to use an import, this means we’ll never accidentally use one class when we meant to use the other.

Conceptually, you can think of packages as being similar to different folders on your computer. When you are building a large system, it is a good idea to organize it into different packages.

From this point forwards, most of our code in CS 61B will be part of a package.

With that out of the way, let’s talk about the methods that a Deque should have.

## The Deque API #

The double ended queue is very similar to the SLList and AList classes that we’ve discussed in class. Here is a definition from cplusplus.com.

Deque (usually pronounced like “deck”) is an irregular acronym of double-ended queue. Double-ended queues are sequence containers with dynamic sizes that can be expanded or contracted on both ends (either its front or its back).

Specifically, any deque implementation must have exactly the following operations:

• public void addFirst(T item): Adds an item of type T to the front of the deque. You can assume that item is never null.
• public void addLast(T item): Adds an item of type T to the back of the deque. You can assume that item is never null.
• public boolean isEmpty(): Returns true if deque is empty, false otherwise.
• public int size(): Returns the number of items in the deque.
• public void printDeque(): Prints the items in the deque from first to last, separated by a space. Once all the items have been printed, print out a new line.
• public T removeFirst(): Removes and returns the item at the front of the deque. If no such item exists, returns null.
• public T removeLast(): Removes and returns the item at the back of the deque. If no such item exists, returns null.
• public T get(int index): Gets the item at the given index, where 0 is the front, 1 is the next item, and so forth. If no such item exists, returns null. Must not alter the deque!

In addition, we also want our Deques to implement the special method:

• public boolean equals(Object o): Returns whether or not the parameter o is equal to the Deque. o is considered equal if it is a Deque and if it contains the same contents (as goverened by the generic T’s equals method) in the same order.

Your deques should accept any generic type (not just integers). For information on creating and using generic data structures, see lecture 5. Make sure to pay close attention to the rules of thumb on the last slide about generics.

So… we’ve defined a bunch of methods that any Deque should have. There are two specific ways we want you to implement a Deque (one powered by a Linked List, and the other by an array), but ultimately, they’ll have the same methods and external behavior. Have we learned about any programming tools that could enable us to do this? If you said, “Of course, silly, that sounds like an interface”, then you would be correct (and we would be silly)!

We have provided an empty file for the Deque interface. Recall that an interface does NOT typically provide implementations for any methods. Instead, it just lets you define what methods a class that implements the Deque interface must have.

### 0. Testing #

In agreement with the principles of test driven development, you will first write tests for the two Deque implementations, and then write the Deque implementations to pass the tests you wrote. Write JUnit tests that confirm your Deque has the expected behavior defined in the section above. Your two testing files, LinkedListDequeTest.java and ArrayDequeTest.java will likely be identical except for the dynamic type of the Deques being created. We recommend writing at least one test for every method described in the Deque API above, e.g. a test that targets the addFirst method.

The compiler will be upset if you write tests referencing classes/methods that haven’t been defined anywhere, so you’ll have to define the methods of the Deque interface. Write in the method signatures for all the methods described in the section above, and you should be good to start writing your tests.

Note: In the Deque interface, give isEmpty() a default implementation, which returns true if the size() is 0. Since your LinkedListDeque and ArrayDeque implement the Deque interface, given the default isEmpty() implementation, now you won’t have to define isEmpty in the LinkedListDeque and ArrayDeque classes!

You’ll fail all your tests, since you haven’t written your LinkedListDeque and ArrayDeque to do anything yet. This is the intention: in test driven development, you set the goals/expectations first and slowly build up your code base until you can pass the tests.

This portion of the project is meant to ensure that you learn to write your own tests, instead of just relying on the autograder. In the real world, there is no autograder to tell you if your code works! Additionally, running your own tests locally is much faster, easier, and doesn’t use up autograder tokens.

NOTE: To enforce the idea of Test-Driven Development (TDD), we will not be answering questions in project party/lab/ticketing system unless you have completed writing the tests in LinkedListDeque.java and ArrayDequeTest.java

### 1. Linked List Deque #

As your first deque implementation, you’ll build the LinkedListDeque class, which will be Linked List based.

Your operations are subject to the following rules:

Any reference to constant time simply means that the operation should not depend on the size of the deque (regardless of whether the deque has 10 elements or 100000, it should take the same amount of time to run.

• add and remove operations must not involve any looping or recursion. A single such operation must take “constant time”. This means that you cannot use loops that go over all/most elements of the deque.
• get must use iteration, not recursion.
• size must take constant time.
• Iterating over the LinkedListDeque using a for-each loop should take time proportional to the number of items.
• Do not maintain references to items that are no longer in the deque. The amount of memory that your program uses at any given time must be proportional to the number of items. For example, if you add 10,000 items to the deque, and then remove 9,999 items, the resulting memory usage should amount to a deque with 1 item, and not 10,000. Remember that the Java garbage collector will “delete” things for us if and only if there are no pointers to that object.

Implement all the methods listed above in “The Deque API” section. Add @Override tags to each method that overrides a Deque method.

In addition, you also need to implement:

• public LinkedListDeque(): Creates an empty linked list deque.
• public T getRecursive(int index): Same as get, but uses recursion.

You may add any private helper classes or methods in LinkedListDeque.java if you deem it necessary. If you do, please add helpful javadoc comments for your and your TAs sake.

While this may sound simple, there are many design issues to consider, and you may find the implementation more challenging than you’d expect. Make sure to consult the lecture on doubly linked lists, particularly the slides on sentinel nodes: two sentinel topology, and circular sentinel topology. I prefer the circular approach. You are not allowed to use Java’s built in LinkedList data structure (or any data structure from java.util.*) in your implementation and the autograder will instantly give you a 0 if we detect that you’ve imported any such data structure.

### 2. Array Deque #

Before you start ArrayDeque, please peruse these proj1 tips slides to get a sense of how to best approach the Array Deque!

As your second deque implementation, you’ll build the ArrayDeque class. This deque must use arrays as the core data structure.

For this implementation, your operations are subject to the following rules:

• add and remove must take constant time, except during resizing operations.
• get and size must take constant time.
• The starting size of your underlying array should be 8. At any given moment, the current size of the array should be proportional to the number of items.
• The amount of memory that your program uses at any given time must be proportional to the number of items. For example, if you add 10,000 items to the deque, and then remove 9,999 items, you shouldn’t still be using an array of length 10,000ish. For arrays of length 16 or more, your usage factor should always be at least 25%. This means that before performing a remove operation that will bring the number of elements in the array under 25% the length of the array, you should resize the size of the array down. For smaller arrays, your usage factor can be arbitrarily low.

Implement all the methods listed above in “The Deque API” section. Add @Override tags to each method that overrides a Deque method.

In addition, you also need to implement:

• public ArrayDeque(): Creates an empty array deque.

You may add any private helper classes or methods in ArrayDeque.java if you deem it necessary.

You will need to somehow keep track of what array indices hold the Deque’s front and back elements. We strongly recommend that you treat your array as circular for this exercise. In other words, if your front item is at position zero, and you addFirst, the new front should loop back around to the end of the array (so the new front item in the deque will be the last item in the underlying array). This will result in far fewer headaches than non-circular approaches. See the project 1 demo slides for more details.

Correctly resizing your array is very tricky, and will require some deep thought. Try drawing out various approaches by hand. It may take you quite some time to come up with the right approach, and we encourage you to debate the big ideas with your fellow students or TAs. Make sure that your actual implementation is by you alone.

MaxArrayDeque is out of scope for this project (6/29). Feel free to continue on to the Guitar Hero portion of the spec.

## MaxArrayDeque (OPTIONAL) #

After you’ve fully implemented your ArrayDeque and tested its correctness, you will now build the MaxArrayDeque. A MaxArrayDeque has all of the methods that an ArrayDeque has, but it also has 2 additional methods and a new constructor:

• public MaxArrayDeque(Comparator<T> c): creates a MaxArrayDeque with the given Comparator.
• public T max(): returns the maximum element in the deque as governed by the previously given Comparator. If the MaxArrayDeque is empty, simply return null.
• public T max(Comparator<T> c): returns the maximum element in the deque as governed by the parameter Comparator c. If the MaxArrayDeque is empty, simply return null.

The MaxArrayDeque can either tell you the max element in itself by using the Comparator<T> given to it in the constructor, or an arbitrary Comparator<T> that is different from the one given in the constructor.

Do not override the equals(Object o) method of this class.

If you find yourself starting off by copying your entire ArrayDeque implementation in a MaxArrayDeque file, then you’re doing it wrong. This is an exercise in clean code, and redundancy is one our worst enemies when battling complexity! For a hint, re-read the second sentence of this section above.

There are no runtime requirements on these additional methods, we only care about the correctness of your answer. Sometimes, there might be multiple elements in the MaxArrayDeque that are all equal and hence all the max: in in this case, you can return any of them and they will be considered correct.

You should write tests for this part as well! They do not need to be nearly as robust as your randomized and timing tests you created for the two Deque implementations above since the functionality you’re adding is fairly simple. You’ll likely be creating multiple Comparator<T> classes to test your code: this is the point! To get practice using Comparator objects to do something useful (find the maximum element) and to get practice writing your own Comparator classes. You will not be turning in these tests, but we still highly suggest making them for your sake.

You will not use the MaxArrayDeque you made for the next part. It is its own isolated exercise.

## Guitar Hero #

In this part of the project, we will create another package for generating synthesized musical instruments using the deque package we just made. We’ll get the opportunity to use our data structure for implementing an algorithm that allows us to simulate the plucking of a guitar string.

### The GH2 Package #

The gh2 package has just one primary component that you will edit:

• GuitarString, a class which uses an Deque<Double> to implement the Karplus-Strong algorithm to synthesize a guitar string sound.

We’ve provided you with skeleton code for GuitarString which is where you will use your deque package that you made in the first part of this project.

## GuitarString #

We want to finish the GuitarString file, which should use the deque package to replicate the sound of a plucked string. We’ll be using the Karplus-Strong algorithm, which is quite easy to implement with a Deque.

The Karplus-Algorithm is simply the following three steps:

1. Replace every item in a Deque with random noise (double values between -0.5 and 0.5).
2. Remove the front double in the Deque and average it with the next double in the Deque (hint: use removeFirst) and get()) multiplied by an energy decay factor of 0.996 (we’ll call this entire quantity newDouble). Then, add newDouble to the back of the Deque.
3. Play the double (newDouble) that you dequeued in step 2. Go back to step 2 (and repeat forever).

Or visually, if the Deque is as shown on the top, we’d remove the 0.2, combine it with the 0.4 to form 0.2988, add the 0.2988, and play the 0.2.

You can play a double value with the StdAudio.play method. For example StdAudio.play(0.333) will tell the diaphragm of your speaker to extend itself to 1/3rd of its total reach, StdAudio.play(-0.9) will tell it to stretch its little heart backwards almost as far as it can reach. Movement of the speaker diaphragm displaces air, and if you displace air in nice patterns, these disruptions will be interpreted by your consciousness as pleasing thanks to billions of years of evolution. See this page for more. If you simply do StdAudio.play(0.9) and never play anything again, the diaphragm shown in the image would just be sitting still 9/10ths of the way forwards.

Complete GuitarString.java so that it implements steps 1 and 2 of the Karplus-Strong algorithm. Note that you will have to fill you Deque buffer with zeros in the GuitarString constructor. Step 3 will be done by the client of the GuitarString class.

Make sure to open your project with Maven, as usual, otherwise IntelliJ won’t be able to find StdAudio.

For example, the provided TestGuitarString class provides a sample test testPluckTheAString that attempts to play an A-note on a guitar string. If you run the test should hear an A-note when you run this test. If you don’t, you should try the testTic method and debug from there. Consider adding a print or toString method to GuitarString.java that will help you see what’s going on between tics.

Note: we’ve said Deque here, but not specified which Deque implementation to use. That is because we only need those operations addLast, removeFirst, and get and we know that classes that implement Deque have them. So you are free to choose either the LinkedListDeque for the actual implementation, or the ArrayDeque. For an optional (but highly suggested) exercise, think about the tradeoffs with using one vs the other and discuss with your friends what you think the better choice is, or if they’re both equally fine choices.

#### GuitarHeroLite #

You should now also be able to use the GuitarHeroLite class. Running it will provide a graphical interface, allowing the user (you!) to interactively play sounds using the gh2 package’s GuitarString class.

The following part of the assignment is not graded.

Consider creating a program GuitarHero that is similar to GuitarHeroLite, but supports a total of 37 notes on the chromatic scale from 110Hz to 880Hz. Use the following 37 keys to represent the keyboard, from lowest note to highest note:

String keyboard = "q2we4r5ty7u8i9op-[=zxdcfvgbnjmk,.;/' ";


This keyboard arrangement imitates a piano keyboard: The “white keys” are on the qwerty and zxcv rows and the “black keys” on the 12345 and asdf rows of the keyboard.

The ith character of the string keyboard corresponds to a frequency of $$440 \cdot 2^{(i - 24) / 12}$$, so that the character ‘q’ is 110Hz, ‘i’ is 220Hz, ‘v’ is 440Hz, and ‘ ‘ is 880Hz. Don’t even think of including 37 individual GuitarString variables or a 37-way if statement! Instead, create an array of 37 GuitarString objects and use keyboard.indexOf(key) to figure out which key was typed. Make sure your program does not crash if a key is pressed that does not correspond to one of your 37 notes.

## Just For Fun: TTFAF #

Once you’re relatively comfortable that GuitarString should be working, try running TTFAF. Make sure your sound is on!

You can read the GuitarPlayer and TTFAF classes to figure out how they work. TTFAF in particular includes (as commented-out code) an example of how to use it another way.

## Even More Fun #

This part of the assignment is not graded and just for fun.

• Harp strings: Create a Harp class in the gh2 package. Flipping the sign of the new value before enqueueing it in tic() will change the sound from guitar-like to harp-like. You may want to play with the decay factors to improve the realism, and adjust the buffer sizes by a factor of two since the natural resonance frequency is cut in half by the tic() change.
• Drums: Create a Drum class in the gh2 package. Flipping the sign of a new value with probability 0.5 before enqueueing it in tic() will produce a drum sound. A decay factor of 1.0 (no decay) will yield a better sound, and you will need to adjust the set of frequencies used.
• Guitars play each note on one of 6 physical strings. To simulate this you can divide your GuitarString instances into 6 groups, and when a string is plucked, zero out all other strings in that group.
• Pianos come with a damper pedal which can be used to make the strings stationary. You can implement this by, on iterations where a certain key (such as Shift) is held down, changing the decay factor.
• While we have used equal temperament, the ear finds it more pleasing when musical intervals follow the small fractions in the just intonation system. For example, when a musician uses a brass instrument to play a perfect fifth harmonically, the ratio of frequencies is 3/2 = 1.5 rather than 27/12 ∼ 1.498. Write a program where each successive pair of notes has just intonation.

## Why It Works #

The two primary components that make the Karplus-Strong algorithm work are the ring buffer feedback mechanism and the averaging operation.

• The ring buffer feedback mechanism. The ring buffer models the medium (a string tied down at both ends) in which the energy travels back and forth. The length of the ring buffer determines the fundamental frequency of the resulting sound. Sonically, the feedback mechanism reinforces only the fundamental frequency and its harmonics (frequencies at integer multiples of the fundamental). The energy decay factor (.996 in this case) models the slight dissipation in energy as the wave makes a round trip through the string.
• The averaging operation. The averaging operation serves as a gentle low-pass filter (which removes higher frequencies while allowing lower frequencies to pass, hence the name). Because it is in the path of the feedback, this has the effect of gradually attenuating the higher harmonics while keeping the lower ones, which corresponds closely with how a plucked guitar string sounds.

To submit the project, add and commit your files, then push to your remote repository. Then on Gradescope go to the assignment and submit there. One partner should submit the project, and then add the other to the submission.

The entire project is worth 24 points, or 8% of your total grade.

• deque/LinkedListDequeTest.java: 1 point
• deque/ArrayDequeTest: 1 point
• deque/LinkedListDeque.java: 10 points
• deque/ArrayDeque: 10 points
• gh2/GuitarString: 2 points

Credits: RingBuffer figures from wikipedia. This assignment adapted from Kevin Wayne’s Guitar Heroine assignment.

## Tips #

• Check out the project 1 slides for some additional visually oriented tips.

• If you’re stuck and don’t even know where to start: One great first step is implementing SLList and/or AList. For maximum efficiency, work with a friend or two or three.

• Take things a little at a time. Writing tons of code all at once is going to lead to misery and only misery. If you wrote too much stuff and feel overwhelmed, comment out whatever is unnecessary.

• If your first try goes badly, don’t be afraid to scrap your code and start over. The amount of code for each class isn’t actually that much (my solution is about 130 lines for each .java file, including all comments and whitespace).

• For ArrayDeque, consider not doing resizing at all until you know your code works without it. Resizing is a performance optimization (and is required for full credit).

• Work out what your data structures will look like on paper before you try implementing them in code! If you can find a willing friend, have them give commands, while you attempt to draw everything out. Try to come up with operations that might reveal problems with your implementation.

• Make sure you think carefully about what happens if the data structure goes from empty, to some non-zero size (e.g. 4 items) back down to zero again, and then back to some non-zero size. This is a common oversight.

• Sentinel nodes make life much easier, once you understand them.

• Circular data structures may take a little while to understand, but make life much easier for both implementations (but especially the ArrayDeque).

• Consider a helper function to do little tasks like compute array indices. For example, in my implementation of ArrayDeque, I wrote a function called int minusOne(int index) that computed the index immediately “before” a given index.

• Consider using the Java Visualizer (which you installed in lab 1) to visualize your Deque as you step through with the debugger. The visualizer is an icon of a blue coffee cup with an eye, and is the tab next to the “Console” tab in the debugger panel). See the CS 61B plugin guide if you can’t figure out how to get the visualizer to show.