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Homework 7_AVL Trees
Homework 7_AVL Trees
You are required to implement an AVL tree. An AVL is a special type of binary search tree that follows all the same rules: each node has 0-2 children, all data in the left subtree is less than the node’s data, and all data in the right subtree is greater than the node’s data. The AVL differs from the BST with its own self-balancing rotations, which you must implement.
All methods in the AVL tree that are not O(1) must be implemented recursively. Good recursion with simple, focused states is strongly encouraged for this assignment in particular.
Your AVL tree will implement the AVL interface provided. It will have two constructors: a no-argument constructor (which should initialize an empty tree), and a constructor that takes in data to be added to the tree, and initializes the tree with this data.
Balancing
Each node has two additional instance variables, height and balanceFactor. The height variable should represent the height of the node (recall that a node’s height is max(child nodes’ heights)+1. The balance factor of a node should be equal to its left child’s height minus its right child’s height. The tree should rotate appropriately to make sure it’s always balanced. Keep in mind that you will have to update these instance variables; they are not updated automatically.
Grading
Here is the grading breakdown for the assignment. There are various deductions not listed that are incurred when breaking the rules listed in this PDF, and in other various circumstances.
1
Homework 7: AVL Trees Due: See T-Square
Methods: add 21pts remove 22pts get 5pts contains 5pts getSecondLargest 7pts equals 7pts height 3pts clear 2pts constructor 3pts Other: Checkstyle 10pts Efficiency 15pts Total: 100pts
Keep in mind that some functions are dependent on others to work, such as remove methods requiring the add methods to work. Also, the size function is used many times throughout the tests, so if the size isn’t updated correctly, many tests can fail.
A note on JUnits
We have provided a very basic set of tests for your code, in AVLStudentTests.java. These tests do not guarantee the correctness of your code (by any measure), nor does it guarantee you any grade. You may additionally post your own set of tests for others to use on the Georgia Tech GitHub as a gist. Do NOT post your tests on the public GitHub. There will be a link to the Georgia Tech GitHub as well as a list of JUnits other students have posted on the class Piazza.
If you need help on running JUnits, there is a guide, available on T-Square under Resources, to help you run JUnits on the command line or in IntelliJ.
Style and Formatting
It is important that your code is not only functional but is also written clearly and with good style. We will be checking your code against a style checker that we are providing. It is located in T-Square, under Resources, along with instructions on how to use it. We will take off a point for every style error that occurs. If you feel like what you wrote is in accordance with good style but still sets off the style checker please email Raymond Ortiz (rortiz9@gatech.edu) with the subject header of “CheckStyle XML”.
Javadocs
Javadoc any helper methods you create in a style similar to the existing Javadocs. If a method is overridden or implemented from a superclass or an interface, you may use @Override instead of writing Javadocs. Any Javadocs you write must be useful and describe the contract, parameters, and return value of the method; random or useless javadocs added only to appease Checkstyle will lose points.
Exceptions
When throwing exceptions, you must include a message by passing in a String as a parameter. The message must be useful and tell the user what went wrong. “Error”, “BAD THING HAPPENED”, and “fail” are not good messages. The name of the exception itself is not a good message.
For example:
Bad: throw new IndexOutOfBoundsException("Index is out of bounds.");
2
Homework 7: AVL Trees Due: See T-Square
Good: throw new IllegalArgumentException("Cannot insert null data into data structure.");
Generics
If available, use the generic type of the class; do not use the raw type of the class. For example, use new LinkedList<Integer() instead of new LinkedList(). Using the raw type of the class will result in a penalty.
Forbidden Statements
You may not use these in your code at any time in CS 1332.
• break may only be used in switch-case statements • continue • package • System.arraycopy() • clone() • assert() • Arrays class • Array class • Collections class • Collection.toArray() • Reflection APIs • Inner or nested classes • Lambda Expressions • Method References
If you’re not sure on whether you can use something, and it’s not mentioned here or anywhere else in the homework files, just ask.
Debug print statements are fine, but nothing should be printed when we run your code. We expect clean runs - printing to the console when we’re grading will result in a penalty. If you submit these, we will take off points.
Provided
The following file(s) have been provided to you. There are several, but you will only edit one of them.
1. AVLInterface.java This is the interface you will implement in AVL. All instructions for what the methods should do are in the javadocs. Do not alter this file.
3
Homework 7: AVL Trees Due: See T-Square
2. AVL.java This is the class in which you will implement AVLInterface. Feel free to add private helper methods but do not add any new public methods, inner/nested classes, instance variables, or static variables.
3. AVLNode.java This class represents a single node in the AVL tree. Do not alter this file.
4. AVLStudentTests.java This is the test class that contains a set of tests covering the basic operations on the AVL class. It is not intended to be exhaustive and does not guarantee any type of grade. Write your own tests to ensure you cover all edge cases.
Deliverables
You must submit all of the following file(s). Please make sure the filename matches the filename(s) below, and that only the following file(s) are present. T-Square does not delete files from old uploads; you must do this manually. Failure to do so may result in a penalty.
After submitting, be sure you receive the confirmation email from T-Square, and then download your uploaded files to a new folder, copy over the interfaces, recompile, and run. It is your responsibility to re-test your submission and discover editing oddities, upload issues, etc.
1. AVL.java
You are required to implement an AVL tree. An AVL is a special type of binary search tree that follows all the same rules: each node has 0-2 children, all data in the left subtree is less than the node’s data, and all data in the right subtree is greater than the node’s data. The AVL differs from the BST with its own self-balancing rotations, which you must implement.
All methods in the AVL tree that are not O(1) must be implemented recursively. Good recursion with simple, focused states is strongly encouraged for this assignment in particular.
Your AVL tree will implement the AVL interface provided. It will have two constructors: a no-argument constructor (which should initialize an empty tree), and a constructor that takes in data to be added to the tree, and initializes the tree with this data.
Balancing
Each node has two additional instance variables, height and balanceFactor. The height variable should represent the height of the node (recall that a node’s height is max(child nodes’ heights)+1. The balance factor of a node should be equal to its left child’s height minus its right child’s height. The tree should rotate appropriately to make sure it’s always balanced. Keep in mind that you will have to update these instance variables; they are not updated automatically.
Grading
Here is the grading breakdown for the assignment. There are various deductions not listed that are incurred when breaking the rules listed in this PDF, and in other various circumstances.
1
Homework 7: AVL Trees Due: See T-Square
Methods: add 21pts remove 22pts get 5pts contains 5pts getSecondLargest 7pts equals 7pts height 3pts clear 2pts constructor 3pts Other: Checkstyle 10pts Efficiency 15pts Total: 100pts
Keep in mind that some functions are dependent on others to work, such as remove methods requiring the add methods to work. Also, the size function is used many times throughout the tests, so if the size isn’t updated correctly, many tests can fail.
A note on JUnits
We have provided a very basic set of tests for your code, in AVLStudentTests.java. These tests do not guarantee the correctness of your code (by any measure), nor does it guarantee you any grade. You may additionally post your own set of tests for others to use on the Georgia Tech GitHub as a gist. Do NOT post your tests on the public GitHub. There will be a link to the Georgia Tech GitHub as well as a list of JUnits other students have posted on the class Piazza.
If you need help on running JUnits, there is a guide, available on T-Square under Resources, to help you run JUnits on the command line or in IntelliJ.
Style and Formatting
It is important that your code is not only functional but is also written clearly and with good style. We will be checking your code against a style checker that we are providing. It is located in T-Square, under Resources, along with instructions on how to use it. We will take off a point for every style error that occurs. If you feel like what you wrote is in accordance with good style but still sets off the style checker please email Raymond Ortiz (rortiz9@gatech.edu) with the subject header of “CheckStyle XML”.
Javadocs
Javadoc any helper methods you create in a style similar to the existing Javadocs. If a method is overridden or implemented from a superclass or an interface, you may use @Override instead of writing Javadocs. Any Javadocs you write must be useful and describe the contract, parameters, and return value of the method; random or useless javadocs added only to appease Checkstyle will lose points.
Exceptions
When throwing exceptions, you must include a message by passing in a String as a parameter. The message must be useful and tell the user what went wrong. “Error”, “BAD THING HAPPENED”, and “fail” are not good messages. The name of the exception itself is not a good message.
For example:
Bad: throw new IndexOutOfBoundsException("Index is out of bounds.");
2
Homework 7: AVL Trees Due: See T-Square
Good: throw new IllegalArgumentException("Cannot insert null data into data structure.");
Generics
If available, use the generic type of the class; do not use the raw type of the class. For example, use new LinkedList<Integer() instead of new LinkedList(). Using the raw type of the class will result in a penalty.
Forbidden Statements
You may not use these in your code at any time in CS 1332.
• break may only be used in switch-case statements • continue • package • System.arraycopy() • clone() • assert() • Arrays class • Array class • Collections class • Collection.toArray() • Reflection APIs • Inner or nested classes • Lambda Expressions • Method References
If you’re not sure on whether you can use something, and it’s not mentioned here or anywhere else in the homework files, just ask.
Debug print statements are fine, but nothing should be printed when we run your code. We expect clean runs - printing to the console when we’re grading will result in a penalty. If you submit these, we will take off points.
Provided
The following file(s) have been provided to you. There are several, but you will only edit one of them.
1. AVLInterface.java This is the interface you will implement in AVL. All instructions for what the methods should do are in the javadocs. Do not alter this file.
3
Homework 7: AVL Trees Due: See T-Square
2. AVL.java This is the class in which you will implement AVLInterface. Feel free to add private helper methods but do not add any new public methods, inner/nested classes, instance variables, or static variables.
3. AVLNode.java This class represents a single node in the AVL tree. Do not alter this file.
4. AVLStudentTests.java This is the test class that contains a set of tests covering the basic operations on the AVL class. It is not intended to be exhaustive and does not guarantee any type of grade. Write your own tests to ensure you cover all edge cases.
Deliverables
You must submit all of the following file(s). Please make sure the filename matches the filename(s) below, and that only the following file(s) are present. T-Square does not delete files from old uploads; you must do this manually. Failure to do so may result in a penalty.
After submitting, be sure you receive the confirmation email from T-Square, and then download your uploaded files to a new folder, copy over the interfaces, recompile, and run. It is your responsibility to re-test your submission and discover editing oddities, upload issues, etc.
1. AVL.java
1 file (130.8KB)
