This commit is contained in:
gabriel venberg 2021-03-31 11:55:52 -05:00
parent d1948b0e58
commit b1fe8d6ea1
17 changed files with 1121 additions and 0 deletions

11
.gitignore vendored
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@ -31,7 +31,18 @@ hs_err_pid*
#uploading only code, not compile settings.
*.xml
*.properties
*.html
*.js
*.css
*.png
*.mf
*.TXT
*.netbeans*
#word docs for assignment submission (I have no clue why our professor insited on copying and pasting source code into *word docs*.
*.docx
*.doc
/Lab108-VenbergGE/nbproject/private/
/Lab108-VenbergGE/build/
/Lab108-VenbergGE/dist/

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@ -0,0 +1,24 @@
4 * -4
( 5 * 5 )
{ 5 * 5 }
[ 5 * 5 ]
[ 5 * 5 )
5 * 4 )
5 * 4 }
5 * 4 ]
( 5643 / 3
5 * *
[ 5 + 4 }
1 - 1 / 2
( 2 - 1 ) / 5
[ 3 - -2 ] + { 4 + 2 }
( 4 + { 4 ) + 3 }
( ( [ 3 - 4 ] * 3 ) / ( ( 9 + 5 ) ) - ( ( 3 / ( 7 - 4 ) ) + 6 ) )
1 + 2 - 3 * 4 / 5
5 * 3 / ( 4 * 2
5 * 3 / { 4 * 2
5 * 3 / [ 4 * 2
3 * 4 5
* * 3
I cant think of more!
I + cant * think + of / more!

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/*
* Copyright (C) 2021 Gabriel Venberg
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/**
*
* @author Gabriel Venberg
*/
import java.io.File;
import java.io.FileNotFoundException;
import java.util.Iterator;
import javax.swing.JOptionPane;
import java.util.Scanner;
public class Client {
public static void main(String[] args){
String filePath = (String) JOptionPane.showInputDialog(null, "Enter the path of the file");
File file = new File(filePath);
try {
Scanner fileContents = new Scanner(file);
while(fileContents.hasNextLine()){
String expression = fileContents.nextLine();
System.out.println("input expression is: "+expression);
try{
ArrayQueue postFix = ShuntingYard.shuntingYard(expression);
//computing the result ahead of time to catch exceptions before the postfix is printed.
double result = ShuntingYard.evalPostfix(postFix);
System.out.println("postfix is: ");
//non-destrutive printing
for(int i=0; i<postFix.size(); i++){
System.out.print(postFix.first().toString()+" ");
postFix.enqueue(postFix.dequeue());
}
System.out.println();
System.out.println("expression evaluates to: "+result);
System.out.println();
LinkedBinaryTree<String> expressionTree = ShuntingYard.convertToBinaryTree(postFix);
System.out.println("preorder of tree is:");
for(Position s:expressionTree.preorder()){
System.out.print(s.getElement());
}
System.out.println();
System.out.println("postorder of tree is:");
for(Position s:expressionTree.postorder()){
System.out.print(s.getElement());
}
System.out.println();
System.out.println("inorder of tree is:");
for(Position s:expressionTree.inorder()){
System.out.print(s.getElement());
}
System.out.println();
System.out.println("parenthasized expression is:");
eulerTourPrint(expressionTree, expressionTree.root());
System.out.println("\n\n");
}
catch(IllegalArgumentException ex){
System.out.println("invalid expression!");
}
catch(NullPointerException ex){
System.out.println("invalid expression!");
}
}
} catch (FileNotFoundException ex) {
JOptionPane.showMessageDialog(null, "file does not exist.");
System.exit(1);
}
}
private static void eulerTourPrint(AbstractBinaryTree t, Position p){
if(t.isInternal(p)){System.out.print('(');}
if(t.left(p)!=null){eulerTourPrint(t, t.left(p));}
System.out.print(p.getElement());
if(t.right(p)!=null){eulerTourPrint(t, t.right(p));}
if(t.isInternal(p)){System.out.print(')');}
}
}

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import java.util.ArrayList;
import java.util.Iterator;
import java.util.List;
/*
* * Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragments 8.7, 8.26, 8.22
*\
/**
* an abstract base class providing some functionality of the binarytree interface
* @author Gabriel Venberg
*/
public abstract class AbstractBinaryTree<E> extends AbstractTree<E> implements BinaryTree<E> {
public Position<E> sibling(Position<E> p){
Position<E> parent = parent(p);
//p is root.
if (parent == null){return null;}
//p is left child, right child might be null.
if (p==left(parent)){return right(parent);}
//p is right child, left child might be null.
else {return left(parent);}
}
/**returns the number of children of Position p*/
public int numChildren(Position<E> p){
int count=0;
if (left(p)!=null){count++;}
if(right(p)!=null){count++;}
return count;
}
/**returns an iterable collection of Positions representing p's children.*/
public Iterable<Position<E>> children(Position<E> p){
//max capacity of 2
List <Position<E>> snapshot=new ArrayList<>(2);
//needed to modify this, as the arraylist we made in class needed an index
if(left(p)!=null){snapshot.add(left(p));}
if(right(p)!=null){snapshot.add(right(p));}
// and our arraylist
return snapshot;
}
/**adds positions of the subtree rooted at Position p to the given snapshot*/
private void inorderSubtree(Position<E> p, List<Position<E>> snapshot){
if(left(p)!=null){inorderSubtree(left(p), snapshot);}
snapshot.add(p);
if(right(p)!=null){inorderSubtree(right(p), snapshot);}
}
/**returns an iterable collection of the positions of the tree, reported in inorder.*/
public Iterable<Position<E>> inorder(){
List<Position<E>> snapshot=new ArrayList<>();
//fill snapshot recursively
if(!isEmpty()){inorderSubtree(root(), snapshot);}
return snapshot;
}
/**Overrides positions to make inorder the default order for binary trees*/
public Iterable<Position<E>> positions(){
return inorder();
}
//nested ElementIterator class
/**this class adapts the iteration produced by positions() to returns elements*/
private class ElementIterator implements Iterator<E>{
Iterator<Position<E>> posIterator=positions().iterator();
public boolean hasNext(){return posIterator.hasNext();}
//return element
public E next(){return posIterator.next().getElement();}
public void remove(){posIterator.remove();}
}//end of nested ElementIterator class
/**returns an iterator if the elements stored in the tree*/
public Iterator<E> iterator(){return new ElementIterator();}
}

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import java.util.ArrayList;
import java.util.List;
/*
* * Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragments 8.2-8.5, 8.19-21
*\
/*
* an abstract base class providing some functionality of the tree interface.
* @author Gabriel Venberg
*/
public abstract class AbstractTree<E> implements Tree<E> {
public boolean isInternal(Position<E> p) {return numChildren(p)>0;}
public boolean isExternal(Position<E> p){return numChildren(p)==0;}
public boolean isRoot(Position<E> p){return p == root();}
public boolean isEmpty(){return size()==0;}
/**returns the number of levels sperating position p from the root.*/
public int depth(Position<E> p){
if (isRoot(p)){return 0;}
else{return 1+depth(parent(p));}
}
/**returns the hight of the tree.*/
private int hightBad(){ //works, but quadratic worst case time.
int h=0;
for(Position<E> p : positions()){
//only consider leaf positions.
if(isExternal(p)){h=Math.max(h, depth(p));}
}
return h;
}
/**returns the hight of the subtree rooted at position p.*/
public int hight(Position<E> p){
//base case if p is external
int h=0;
for (Position<E> c : children(p)){
h=Math.max(h,1+hight(c));
}
return h;
}
//iterators
/**adds positions of the subtree rooted at position p to the given snapshot (for use in traversal)*/
private void preorderSubtree(Position<E> p, List<Position<E>> snapshot){
//for preorder, add position p before exploring subtrees.
snapshot.add(p);
for(Position<E> c:children(p)){
preorderSubtree(c, snapshot);
}
}
/**returns an iterable collection of positions in the tree, reported in preorder*/
public Iterable<Position<E>> preorder(){
List<Position<E>> snapshot=new ArrayList<>();
//fill the snapshot recursively
if(!isEmpty()){
preorderSubtree(root(), snapshot);
}
return snapshot;
}
/**adds positions of the subtree rooted at position p to the given snapshot (for use in traversal)*/
private void postorderSubtree(Position<E> p, List<Position<E>> snapshot){
//for postorder, add position p before exploring subtrees.
for(Position<E> c:children(p)){
postorderSubtree(c, snapshot);
}
snapshot.add(p);
}
/**returns an iterable collection of positions in the tree, reported in postorder*/
public Iterable<Position<E>> postorder(){
List<Position<E>> snapshot=new ArrayList<>();
//fill the snapshot recursively
if(!isEmpty()){
postorderSubtree(root(), snapshot);
}
return snapshot;
}
/**returns an iterable collection of positions in the tree in breadth first traversal*/
public Iterable<Position<E>> breadthFirst(){
List<Position<E>> snapshot=new ArrayList<>();
if(!isEmpty()){
Queue<Position<E>> fringe=new LinkedQueue<>();
fringe.enqueue(root());
while(!fringe.isEmpty()){
Position<E> p=fringe.dequeue();
snapshot.add(p);
for(Position<E> c:children(p)){
fringe.enqueue(c);
}
}
}
return snapshot;
}
/**default iterator*/
public Iterable<Position<E>> positions(){return preorder();}
}

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/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 6.10
*
* An implementation of the ArrayQueue class
* */
/**
*implementation of the queue ADT using a fixed-length array.
* @author Gabriel Venberg
*/
public class ArrayQueue<E> implements Queue<E>{
//instance variables
private E[] data; //generic array used for storage
private int f = 0; //index of the front element
private int sz = 0; //current number of elements
private static final int CAPACITY = 1000; //default capacity, book is missing this.
//constructors
/** constructs queue with default capacity*/
public ArrayQueue(){this(CAPACITY);}
/**constructs queue with given capacity*/
public ArrayQueue(int capacity){
data = (E[]) new Object[capacity];
}
//methods
/** returns the number of elements in the queue*/
public int size(){return sz;}
/** tests whether the queue is empty*/
public boolean isEmpty(){return sz == 0;}
/**inserts an element at the rear of the queue*/
public void enqueue(E e) throws IllegalStateException{
if(sz==data.length){throw new IllegalStateException("queue is full");}
int avail = (f+sz)%data.length; //use modular arithmatic
data[avail]=e;
sz++;
}
/** returns but does not remove the first element in the queue or null if emtpy*/
public E first(){
if(isEmpty()){return null;}
return data[f];
}
/** removes and returns the first element of the queue or null if emtpy*/
public E dequeue(){
if(isEmpty()){return null;}
E answer = data[f];
data[f]=null; //dereference to help GC
f=(f+1)%data.length;
sz--;
return answer;
}
}

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/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 6.2
*
* An implementation of an ArrayStack class
* */
/**
*
* @author Gabriel Venberg
*/
public class ArrayStack<E> implements Stack<E> {
public static final int CAPACITY = 1000;//default capacity
private E[] data; //generic array used for storage.
private int t=-1; //index of the top element in the stack
//im swiching the authors comments to javadoc style, for ease of use.
/**
* constructs stack with default capacity
*/
public ArrayStack(){this(CAPACITY);}
/**
* constructs stack with given capacity
* @param capacity capacity to construct the stack with.
*/
public ArrayStack(int capacity){
data = (E[]) new Object[capacity];
}
public int size(){return (t+1);}
public boolean isEmpty(){return(t==-1);}
public void push(E e) throws IllegalStateException{
if(size()==data.length){throw new IllegalStateException("Stack is full");}
data[++t]=e; //increment t before storing a new item.
}
public E top(){
if(isEmpty()){return null;}
return data[t];
}
public E pop(){
if(isEmpty()){return null;}
E answer = data[t];
data[t] = null; //dereference to help with garbage collection.
t--;
return answer;
}
}

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/*
* * Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragments 8.6
*\
\**
*an interface for a binary tree, in which each node has at most two children.
* @author Gabriel Venberg
*/
public interface BinaryTree<E> extends Tree<E> {
/**returns the position of p's left child (or null if no child exists).*/
Position<E> left(Position<E> p) throws IllegalArgumentException;
/**returns the position of p's right child (or null if no child exists)*/
Position<E> right(Position<E> p) throws IllegalArgumentException;
/**returns the position of p's sibling (or null of no sibling exists).*/
Position <E> sibling(Position<E> p) throws IllegalArgumentException;
}

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/*
* * Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragments 8.9-11
*\
/**
*
* @author Gabriel Venberg
*/
public class LinkedBinaryTree<E> extends AbstractBinaryTree<E> {
//nested node class
protected static class Node<E> implements Position<E>{
//an element stored at this node
private E element;
//a reference the the parent node
private Node<E> parent;
//a refrence to the left node
private Node<E> left;
//a reference the right node
private Node<E> right;
/**constructs a done with the given element and neighbors*/
public Node(E e, Node<E> above, Node<E> leftChild, Node<E> rightChild){
element=e;
parent=above;
left=leftChild;
right=rightChild;
}
//why do we set the variables to private and make these methods for a protected class? doesnt that add uneeded overhead for no benifits of encapsulation?
//acessor methods
public E getElement(){return element;}
public Node<E> getParent(){return parent;}
public Node<E> getLeft(){return left;}
public Node<E> getRight(){return right;}
//update methods
public void setElement(E e){element=e;}
public void setParent(Node<E> parentNode){parent=parentNode;}
public void setLeft(Node<E> leftChild){left=leftChild;}
public void setRight(Node<E> rightChild){right=rightChild;}
}//end of node class.
//why create this class? its the exact same as just using the node constructor, even the same signature!
/**factory function to create new node storing element e*/
protected Node<E> createNode(E e, Node<E> parent, Node<E> left, Node<E> right){
return new Node<E>(e, parent, left, right);
}
//LinkedBinaryTree instance variables
//root of the tree
protected Node<E> root=null;
//number of nodes in the tree
private int size=0;
//constructor
//creats an empty binary tree
public LinkedBinaryTree(){}
//nonpublic utility
/**validates the position and returns it as a node*/
protected Node<E> validate(Position<E> p) throws IllegalArgumentException{
if(!(p instanceof Node)){
throw new IllegalArgumentException("not a valid position type");
}
//safe cast
Node<E> node=(Node<E>)p;
//our convention for a defunct node. Wont this make the GC not clean it up? why not just set the parent to null and let the GC clean it up?
if(node.getParent()==node){
throw new IllegalArgumentException("p is no longer in the tree");
}
return node;
}
//acessor methods still left to implement
/**returns the number of nodes in the tree*/
public int size(){return size;}
/**returns the root position of the tree (or null if tree is empty)*/
public Position<E> root(){return root;}
/**returns the position of p's parent or null if p is root*/
public Position<E> parent(Position<E> p) throws IllegalArgumentException {
Node<E> node=validate(p);
return node.getParent();
}
/**returns the position of p's left child (or null if no child exists)*/
public Position<E> left(Position<E> p) throws IllegalArgumentException {
Node<E> node = validate(p);
return node.getLeft();
}
/**returns the position of p's right child (or null if no child exists)*/
public Position<E> right(Position<E> p) throws IllegalArgumentException {
Node<E> node=validate(p);
return node.getRight();
}
//update methods supported
/**places element e at the root of an empty tree and returns its new Position */
public Position<E> addRoot(E e) throws IllegalStateException {
if (!isEmpty()){throw new IllegalStateException("tree is not empty");}
root=createNode(e, null, null, null);
size=1;
return root;
}
/**creates a new left child of Position P storing element e, returns its position*/
public Position<E> addLeft(Position<E> p, E e) throws IllegalArgumentException{
Node<E> parent=validate(p);
if(parent.getLeft()!=null){
throw new IllegalArgumentException("p already has a left child");
}
Node<E> child=createNode(e, parent, null, null);
parent.setLeft(child);
size++;
return child;
}
public Position<E> addRight(Position<E> p, E e)throws IllegalArgumentException{
Node<E> parent=validate(p);
if(parent.getRight()!=null){
throw new IllegalArgumentException("p already has a right child");
}
Node<E> child=createNode(e, parent, null, null);
parent.setRight(child);
size++;
return child;
}
/**replaces the element at position p with e and returns the replaced element*/
public E set(Position<E> p, E e) throws IllegalArgumentException{
Node<E> node=validate(p);
E temp=node.getElement();
node.setElement(e);
return temp;
}
/**attaches trees t1 and t2 as left and right subtrees of external p.*/
public void attach(Position<E> p, LinkedBinaryTree<E> t1, LinkedBinaryTree<E> t2)throws IllegalArgumentException{
Node<E> node=validate(p);
if(isInternal(p)) throw new IllegalArgumentException("P must be a leaf");
size+=t1.size()+t2.size();
//set t1 as left node
if(!t1.isEmpty()){
t1.root.setParent(node);
node.setLeft(t1.root);
t1.root=null;
t1.size=0;
}
//set t2 as right node
if(!t2.isEmpty()){
t2.root.setParent(node);
node.setRight(t2.root);
t2.root=null;
t2.size=0;
}
}
/**removes the node at Position p and replaces it with its child. only works if p has 1 or 0 children*/
public E remove(Position<E> p)throws IllegalArgumentException{
Node<E> node=validate(p);
if(numChildren(p)==2){throw new IllegalArgumentException("p has two children");}
Node<E> child=(node.getLeft()!=null?node.getLeft():node.getRight());
//childs grandparent becomes its parent
if(child!=null){child.setParent(node.getParent());}
//child becomes root;
if(node==root){root=child;}
//child is not root, set child as child of parent
else{
Node<E> parent = node.getParent();
if(node==parent.getLeft()){parent.setLeft(child);}
else{parent.setRight(child);}
}
size--;
E temp=node.getElement();
//help java GC. sometimes I think it would be easier to do manual GC than have to baby along an auto GC.
node.setElement(null);
node.setLeft(null);
node.setRight(null);
//for some reason we set this to parent itself, instead of setting to null and sending to GC.
node.setParent(node);
return temp;
}
}

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/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 6.11
*
* An implementation of the LinkedQueue class
* */
/**
*
* @author Gabriel Venberg
*/
public class LinkedQueue<E> implements Queue<E>{
private SinglyLinkedList<E> list = new SinglyLinkedList(); //an empty list
public LinkedQueue(){} //new queue relies on initaly empty list
public int size(){return list.size();}
public boolean isEmpty(){return list.isEmpty();}
public void enqueue(E element){list.addLast(element);}
public E first(){return list.first();}
public E dequeue(){return list.removeFirst();}
}

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/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 7.7
*
* An implementation of the position interface
*/
/**
*
* @author Gabriel Venberg
*/
public interface Position<E> {
/**
* Returns the element stored at this position
*
* @return the stored element
* @throws IllegalStateException if position no longer valid.
*/
E getElement() throws IllegalStateException;
}

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/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 7.8
*
* An implementation of the positionalList interface
*/
/**
*
* @author Gabriel Venberg
*/
public interface PositionalList<E> {
/** returns the number of elements in the list*/
int size();
/**tests whether the list is empty*/
boolean isEmpty();
/**returns the first position in the list (or null if empty)*/
Position<E> first();
/**returns the last position in the list (or null if empty)*/
Position<E> last();
/**returns the position immediately before position p (or null, if p is first)*/
Position<E> before(Position<E> p) throws IllegalArgumentException;
/**returns the position immediately after position p (or null, if p is last)*/
Position<E> after(Position<E> p) throws IllegalArgumentException;
/**inserts element e at the front of the list and returns its new position*/
Position<E> addFirst(E e);
/**inserts element e at the back of the list and returns its new position*/
Position<E> addLast(E e);
/**inserts element e immediately before position p and returns its new position*/
Position<E> addBefore(Position<E> p, E e) throws IllegalArgumentException;
/**inserts element e immediately after Position p and returns its new position*/
Position<E> addAfter(Position<E> p, E e) throws IllegalArgumentException;
/**replaces the element stored at position p and returns the replaced element*/
E set(Position<E> p, E e) throws IllegalArgumentException;
/**removes the element stored at position p and returns it (invalidating p)*/
E remove(Position<E> p) throws IllegalArgumentException;
}

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/**
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 6.9
*
* An implementation of the Queue interface
* */
/**
*
* @author Gabriel Venberg
*/
public interface Queue<E> {
/** returns the number of elements in the queue*/
int size();
/** tests whether the queue is empty*/
boolean isEmpty();
/**inserts an element at the rear of the queue*/
void enqueue(E e);
/**returns, but does not remove, the first element of the queue (null if empty). */
E first();
/** removes and returns the first element of the queue (null if empty)*/
E dequeue();
}

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/**
*SinglyLinkedListClass
* Code Fragments 3.14, 3.15
* from
* Data Structures & Algorithms, 6th edition
* by Michael T. Goodrich, Roberto Tamassia & Michael H. Goldwasser
* Wiley 2014
* Transcribed by
* @author Gabe Venberg
*/
public class SinglyLinkedList<E> {
private static class Node<E> {
private E element; //refrence to element stored at this node
private Node<E> next; //refrence to subsequent node of list
public Node(E e, Node<E> n){
element = e;
next = n;
}
public E getElement() {return element;}
public Node<E> getNext() {return next;}
public void setNext(Node<E> n) {next = n;}
}
//instance variables of SinglyLinkedList
private Node<E> head = null;//head node of list
private Node<E> tail = null;//last node of list
private int size = 0;//number of nodes in list
public SinglyLinkedList(){}//constructs an initaly empty list
//access methods
public int size() {return size;}
public boolean isEmpty() {return size == 0;}
public E first(){//returns but does not remove the first element
if (size == 0) {return null;} //special case
return head.getElement();
}
public E last(){//returns but does not remove last elemnt
if (size ==0) {return null;}//special case
return tail.getElement();
}
//update methods
public void addFirst(E e){//adds element e to the front of the list
head = new Node<>(e, head);//create and link a new node
if (size == 0) {tail = head;}//special case, head becomes tail also
size++;
}
public void addLast(E e){//adds element to end of list
Node<E> newest = new Node<>(e, null);//create and link a new node
if(size == 0){//special case, previously empty list
head = newest;
}
else{
tail.setNext(newest);//new node after existing tail
}
tail = newest;//new node becomes tail
size++;
}
public E removeFirst(){//removes and returns the first element
if(size == 0){return null;}//nothing to remove
E answer = head.getElement();
head = head.getNext();//will become null if list had only one node.
size--;
if(size==0){tail = null;}// special case as list is now empty
return answer;
}
}

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/**
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 6.1
*
* An implementation of the stack interface
* */
/**
* A collection of objects that are inserted and removed according to a last-in
* first-out principle. Although similar in purpose, this interface differs from
* java.util.stack.
* @author Gabriel Venberg
*/
public interface Stack<E> {
/**
* returns the number of elements in the stack
* @return number of elements in the stack.
*/
int size();
/**
* tests whether the stack is empty.
* @return true if stack is empty, false otherwise.
*/
boolean isEmpty();
/**
* inserts an element at the top of the stack.
* @param e the element to be inserted.
*/
void push(E e);
/**
* returns, but does not remove, the top element of the stack.
* @return top element of the stack or null if empty.
*/
E top();
/**
* removes and returns the top element from the stack.
* @return element removed or null if empty.
*/
E pop();
}

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@ -0,0 +1,29 @@
import java.util.Iterator;
/*
* Data Structures & Algorithms 6th Edition
* Goodrich, Tamassia, Goldwasser
* Code Fragment 8.1
*
* An implementation of the tree interface
*/
/**
* An interface for a tree where nodes can have an arbitrary number of children.
* @author Gabriel Venberg
*/
public interface Tree<E> extends Iterable<E>{
Position <E> root();
Position<E> parent(Position<E> p) throws IllegalArgumentException;
Iterable<Position<E>> children(Position<E> p) throws IllegalArgumentException;
int numChildren(Position<E> p) throws IllegalArgumentException;
boolean isInternal(Position<E> p) throws IllegalArgumentException;
boolean isExternal(Position<E> p) throws IllegalArgumentException;
boolean isRoot(Position<E> p) throws IllegalArgumentException;
int size();
boolean isEmpty();
Iterator<E> iterator();
Iterable<Position<E>> positions();
}

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/*
* Copyright (C) 2021 Gabriel Venberg
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* a collection of static functions to parse expressions based on the shunting yard algorithm.
* @author Gabriel Venberg
*/
import java.util.ArrayList;
public class ShuntingYard {
/*
change if-else-if to catch block in shunting yard
keep things as strings for the whole process, assume if its not an operator or grouping symbol it must be a number (removes seperate validation logic)
add order of operations logic, dont asusme it will be fully parenthisized
validate parenthases using the shunting yard algo insead if seperate algo.
*/
// /**
// * returns a number based on the operator precedence.
// * @param c string containing the operator.
// * @return number representing the precedence of the operator.
// */
// private static int getPrecedence(String c){
//
// }
/**
* converts a space-delimited infix expression represented as a string to an arrayqueue postfix expression.
* @param expression expression to be evaluated
* @return ArrayQueue of strings
* @throws IllegalArgumentException
*/
public static ArrayQueue shuntingYard(String expression) throws IllegalArgumentException {
ArrayQueue<String> output = new ArrayQueue<>();
ArrayStack<String> stack = new ArrayStack<>();
//split into string array based on whitespace.
String[] tokens = expression.split("\s");
for(int i=0; i<tokens.length; i++){
switch(tokens[i]){
case "(":
case "[":
case "{":
stack.push(tokens[i]);
break;
case ")":
//pop untill we find a maching bracket
while(!stack.top().equals("(")&&!stack.isEmpty()){
//if we encounter a different grouping symbol or run out of expression, then the grouping is wrong.
if(stack.top().equals("[")||stack.top().equals("{")||stack.isEmpty()){throw new IllegalArgumentException("invalid expression: mismached grouping");}
output.enqueue(stack.pop());
}
stack.pop();
break;
case "]":
//pop untill we find a maching bracket
while(!stack.top().equals("[")&&!stack.isEmpty()){
//if we encounter a different grouping symbol or run out of expression, then the grouping is wrong.
if(stack.top().equals("{")||stack.top().equals("(")||stack.isEmpty()){throw new IllegalArgumentException("invalid expression: mismached grouping");}
output.enqueue(stack.pop());
}
stack.pop();
break;
case "}":
//pop untill we find a maching bracket
while(!stack.top().equals("{")&&!stack.isEmpty()){
//if we encounter a different grouping symbol or run out of expression, then the grouping is wrong.
if(stack.top().equals("[")||stack.top().equals("(")||stack.isEmpty()){throw new IllegalArgumentException("invalid expression: mismached grouping");}
output.enqueue(stack.pop());
}
stack.pop();
break;
case "+":
case "-":
//while there is an operator with greater precedence
while(!stack.isEmpty()&&(stack.top().equals("*")||stack.top().equals("/"))){
output.enqueue(stack.pop());
}
stack.push(tokens[i]);
break;
case "*":
case "/":
//there are no greater precedence operators
stack.push(tokens[i]);
break;
//must be a number
default:
output.enqueue(tokens[i]);
break;
}
}
//empty the stack of leftovers.
while(!stack.isEmpty()){
output.enqueue(stack.pop());
}
return output;
}
/**
* evaluates an array queue based postfix expression
* @param inputExpression ArrayQueue of strings containing expression.
* @return double containing the result of the expression.
*/
public static double evalPostfix(ArrayQueue<String> inputExpression) throws IllegalArgumentException {
//this took me a while to figure out. methods were consuming the queue...
ArrayQueue<String> expression = new ArrayQueue();
for(int i=0; i<inputExpression.size(); i++){
expression.enqueue(inputExpression.first());
inputExpression.enqueue(inputExpression.dequeue());
}
ArrayStack<Double> stack = new ArrayStack<>();
while(!expression.isEmpty()){
//compiler doesnt like declaring these inside switch statement.
double right;
double left;
switch(expression.first()){
case "-":
expression.dequeue();
right=stack.pop();
left=stack.pop();
stack.push(left-right);
break;
case "+":
expression.dequeue();
right=stack.pop();
left=stack.pop();
stack.push(left+right);
break;
case "*":
expression.dequeue();
right=stack.pop();
left=stack.pop();
stack.push(left*right);
break;
case "/":
expression.dequeue();
right=stack.pop();
left=stack.pop();
stack.push(left/right);
break;
//must be number otherwise.
default:
stack.push(Double.parseDouble(expression.dequeue()));
break;
}
}
//at the end of this, there should be a single number.
if(stack.size()!=1){
String stackContents="";
while(!stack.isEmpty()){
stackContents=stackContents+stack.pop();
}
throw new IllegalArgumentException("stack does not have awnser! bug in evalPostFix! stack contains: "+stackContents);
}
return stack.pop();
}
/**
* converts an arrayQueue infix expression to a linked binary tree output expression.
* @param expression ArrayQueue containing expression. operators must be chars, numbers must be doubles.
* @return linked binary tree representing the expression. operators are chars, numbers are doubles.
*/
public static LinkedBinaryTree<String> convertToBinaryTree(ArrayQueue<String> inputExpression){
//this took me a while to figure out. methods were consuming the queue...
ArrayQueue<String> expression = new ArrayQueue<>();
for(int i=0; i<inputExpression.size(); i++){
expression.enqueue(inputExpression.first());
inputExpression.enqueue(inputExpression.dequeue());
}
ArrayStack<LinkedBinaryTree<String>> stack = new ArrayStack<>();
while(!expression.isEmpty()){
//check if operator
switch(expression.first()){
case "+":
case "-":
case "*":
case "/":
LinkedBinaryTree<String> newOperatorTree=new LinkedBinaryTree<>();
newOperatorTree.addRoot(expression.dequeue());
//need temp variables, as attach want new left child as first argument, but top of stack is new right child here.
LinkedBinaryTree newRight=stack.pop();
LinkedBinaryTree newLeft=stack.pop();
newOperatorTree.attach(newOperatorTree.root(), newLeft, newRight);
stack.push(newOperatorTree);
break;
//must be number
default:
LinkedBinaryTree<String> newNumberTree=new LinkedBinaryTree<>();
newNumberTree.addRoot(expression.dequeue());
stack.push(newNumberTree);
break;
}
}
//after the loop, should be the completed tree as only value on stack.
return stack.pop();
}
}