Gabe/CS2-projects
Archived
1
0
Fork 0
Code Issues Pull requests Projects Releases Wiki Activity

Lab 110, not hight count is funky (can be impossibly low) and seems to be incredibly unperformant. Im going to sleep on it.

Browse source
This commit is contained in:
gabe venberg 2021-04-26 00:35:14 -05:00
parent 29c576c988
commit dd9c437269
12 changed files with 854 additions and 0 deletions
Download patch file Download diff file Expand all files Collapse all files

2
.gitignore vendored
View file

@ -47,3 +47,5 @@ hs_err_pid*
/Lab108-VenbergGE/build/ /Lab108-VenbergGE/build/
/Lab108-VenbergGE/dist/ /Lab108-VenbergGE/dist/
/Lab109/build/ /Lab109/build/
/Lab110-VenbergGE/nbproject/private/
/Lab110-VenbergGE/build/

181
Lab110-VenbergGE/src/ASCIITable.java Normal file
View file

@ -0,0 +1,181 @@
/*
* 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/>.
*/
/**
* utility library for nicely formatted ascii tables.
* @author Gabriel Venberg
*/
public class ASCIITable {
/**
* generates an ASCII table based on a 2d data array. the top level array is an array of rows.
* @param data 2d array containing data to put in table
* @param padding how much padding to put on each side of entries
* @param tableHeader string to put in the table header (may cause problems if extremely long)
* @param columnHeaders array of strings to put at the top of each column.
* @return
*/
public static String render(Object data[][], int padding, String tableHeader, String[] columnHeaders) throws IllegalArgumentException {
int cols = calcNoCols(data);
if(cols!=columnHeaders.length){throw new IllegalArgumentException("must have equal number of column headers as columns!");}
int[] colWidths = calcColumnWidth(cols, data, columnHeaders);
//colWidths does not count padding or the | chars betwwen tables.
int width = sumOfArray(colWidths)+padding*cols*2+(cols-1);
String horizontalSpacer = assembleHorizontalSpacers(colWidths, padding, cols);
/*ok, so each cell will have the colwidth for the data, then padding for padding,
* then a | at the end. (plus 1 at the begginning of the table.
there will be 2 rows for each row of data (horizontal sep) plus a horizontal sep
at the end.
*/
String string = horizontalSpacer+'\n';
//print table header
string=string+tableHeader(tableHeader, width)+"\n";
string = string+horizontalSpacer+"\n";
//print coumn headers
string=string+columnHeaderString(colWidths, padding, columnHeaders)+'\n';
//got everything set up, build the table row by row.
for(int i=0; i<data.length; i++){
string = string+horizontalSpacer+"\n";
string = string+dataString(colWidths, padding, data[i])+'\n';
}
string = string+horizontalSpacer;
return string;
}
private static String tableHeader(String header, int width){
String string="|";
int halfPadding=(width-header.length())/2;
//front padding
for(int i=0; i<halfPadding; i++){string=string+" ";}
//if the total padding we need is odd, put it in front of the header
if((width-header.length())%2==1){string=string+" ";}
string=string+header;
//rear padding
for(int i=0; i<halfPadding; i++){string=string+" ";}
string=string+"|";
return string;
}
/**
* calcs the sum of all elements in an int array
* @param array array to be summed
* @return sum of array
*/
private static int sumOfArray(int[] array){
int sum=0;
for(int i=0; i<array.length; i++){
sum += array[i];
}
return sum;
}
/**
* calculates the maximum number of entries the rows in the data set have
* @param data 2D array of data
* @return needed number of rows in the final table.
*/
private static int calcNoCols(Object data[][]){
int rows = 0;
for(int i=0; i<data.length; i++){
rows = Math.max(rows, data[i].length);
}
return rows;
}
/**
* calculates the needed column widths for a data array without padding
* @param data the array of data
* @return an array of integers representing the needed width of each column
*/
private static int[] calcColumnWidth(int cols, Object data[][], String[] headers){
int[] maxWidths = new int[cols];
for(int i=0; i<cols; i++){
maxWidths[i]=headers[i].length();
for(int j=0; j<data.length; j++){
maxWidths[i]=Math.max(maxWidths[i], data[j][i].toString().length());
}
}
return maxWidths;
}
/**
* gives the horizontal spacer needed for the table
* @param colWidth width of each column;
* @param padding padding on each side of data.
* @param noOfCols number of columns;
* @return a string suitable to use as the horizontal spacer for the table.
*/
private static String assembleHorizontalSpacers(int[] colWidth, int padding, int noOfCols){
String string = "+";
for(int i=0; i<noOfCols; i++){
for(int j=0; j<colWidth[i]+2*padding; j++){
string = string+'-';
}
string = string+'+';
}
return string;
}
/**
* takes a single row of the data array and returns a row. Make sure your colWidth is accurate.
* @param colWidth width of each column
* @param padding min padding to have around each entry
* @param data 1D array of data to print
* @return a string containing the data
*/
private static String dataString(int[] colWidth, int padding, Object data[]){
String string ="|";
//for each entry in the row
for(int i=0; i<data.length; i++){
//only calc this once.
int length=data[i].toString().length();
// front padding. Also, I wish java had string multiplication.
for(int p=0; p<padding+(colWidth[i]-length); p++){string = string+" ";}
string = string+data[i].toString();
//rear padding
for(int p=0; p<padding; p++){string = string+" ";}
string = string+"|";
}
return string;
}
/**
* takes an array of strings (column headers) and outputs a single row of the column, center justified.
* @param colWidth width of each column
* @param padding min padding around each entry
* @param columnHeaders 1d array of strings containing col headers
* @return
*/
private static String columnHeaderString(int[] colWidth, int padding, String columnHeaders[]){
String string="|";
for(int i=0; i<columnHeaders.length; i++){
//calc this once.
int length=columnHeaders[i].length();
int sidePadding=(colWidth[i]-length+padding*2)/2;
//front padding
for(int p=0; p<sidePadding; p++){string=string+" ";}
//if we need an odd number of total padding, add the spare on the front
if((colWidth[i]-length)%2==1){string=string+" ";}
string=string+columnHeaders[i];
//rear padding
for(int p=0; p<sidePadding; p++){string=string+" ";}
string=string+"|";
}
return string;
}
}

76
Lab110-VenbergGE/src/AbstractBinaryTree.java Normal file
View file

@ -0,0 +1,76 @@
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();}
}

104
Lab110-VenbergGE/src/AbstractTree.java Normal file
View file

@ -0,0 +1,104 @@
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. should be O(n) time.*/
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();}
}

193
Lab110-VenbergGE/src/BinarySearchTree.java Normal file
View file

@ -0,0 +1,193 @@
/**
*
* @author Gabriel Venberg
*/
public class BinarySearchTree extends AbstractBinaryTree<Integer> {
//Represent a node of binary tree
private static class Node implements Position<Integer>{
private int data;
private Node left;
private Node right;
private Node parent;
public Node(int data){
//Assign data to the new node, set left and right children to null
this.data = data;
this.left = null;
this.right = null;
this.parent = null;
}
public Integer getElement(){return data;}
public Node getLeft(){return left;}
public Node getRight(){return right;}
public Node getParent(){return parent;}
public void setData(int newData){data=newData;}
public void setLeft(Node newLeft){left=newLeft;}
public void setRight(Node newRight){right=newRight;}
public void setParent(Node newParent){parent=newParent;}
}
//Represent the root of binary tree
private Node root;
private int size = 0;
public BinarySearchTree(){
root = null;
}
public Position<Integer> root(){return root;}
public int size(){return size;}
//nonpublic utility
/**validates the position and returns it as a node*/
protected Node validate(Position<Integer> p) throws IllegalArgumentException{
if(!(p instanceof Node)){
throw new IllegalArgumentException("not a valid position type");
}
//safe cast
Node node=(Node)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;
}
//methods for getting info about specific nodes.
public Position<Integer> parent(Position<Integer> n){
Node node=validate(n);
return node.getParent();
}
public Position<Integer> left(Position<Integer> n){
Node node = validate(n);
return node.getLeft();
}
public Position<Integer> right(Position<Integer> n){
Node node = validate(n);
return node.getLeft();
}
//insert() will add new node to the binary search tree
public void insert(int data) {
//Create a new node
Node newNode = new Node(data);
size++;
//Check whether tree is empty
if(root == null){
root = newNode;
return;
}
else {
//current node point to root of the tree
Node current = root, parent = null;
while(true) {
//parent keep track of the parent node of current node.
parent = current;
//If data is less than current's data, node will be inserted to the left of tree
if(data < current.data) {
current = current.getLeft();
if(current == null) {
parent.setLeft(newNode);
newNode.setParent(parent);
return;
}
}
//If data is greater than current's data, node will be inserted to the right of tree
else {
current = current.getRight();
if(current == null) {
parent.setRight(newNode);
newNode.setParent(parent);
return;
}
}
}
}
}
//minNode() will find out the minimum node
public Position<Integer> minNode(Node root) {
if (root.left != null)
return minNode(root.left);
else
return root;
}
//deleteNode() will delete the given node from the binary search tree
public Position<Integer> deleteNode(Position<Integer> position, int value) {
size--;
Node node = validate(position);
if(node == null){
return null;
}
else {
//value is less than node's data then, search the value in left subtree
if(value < node.getElement())
//should be a safe cast...
node.setLeft((Node)deleteNode(node.getLeft(), value));
//value is greater than node's data then, search the value in right subtree
else if(value > node.getElement())
//should be a safe cast...
node.setRight((Node)deleteNode(node.getRight() , value));
//If value is equal to node's data that is, we have found the node to be deleted
else {
//If node to be deleted has no child then, set the node to null
if(node.getLeft() == null && node.getRight() == null)
node = null;
//If node to be deleted has only one right child
else if(node.getLeft() == null) {
node = node.getRight() ;
}
//If node to be deleted has only one left child
else if(node.getRight() == null) {
node = node.getLeft();
}
//If node to be deleted has two children node
else {
//then find the minimum node from right subtree
//should be a safe cast...
Node temp = (Node)minNode(node.getRight() );
//Exchange the data between node and temp
node.setData(temp.getElement());
//Delete the node duplicate node from right subtree
//should be a safe cast...
node.setRight((Node)deleteNode(node.getRight() , temp.getElement()));
}
}
return node;
}
}
//inorder() will perform inorder traversal on binary search tree
public void inorderTraversal(Position<Integer> position) {
Node node = validate(position);
//Check whether tree is empty
if(root == null){
System.out.println("Tree is empty");
return;
}
else {
if(node.getLeft()!= null)
inorderTraversal((Position<Integer>)node.getLeft());
System.out.print(node.getElement() + " ");
if(node.getRight() != null)
inorderTraversal((Position<Integer>)node.getRight());
}
}
}

18
Lab110-VenbergGE/src/BinaryTree.java Normal file
View file

@ -0,0 +1,18 @@
/*
* * 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;
}

103
Lab110-VenbergGE/src/Client.java Normal file
View file

@ -0,0 +1,103 @@
import java.util.Random;
/*
* 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
*/
public class Client {
public static void main(String args[]){
//set up stuff needed for test.
final int BSTSize = 10;
long startTime;
long endTime;
String[][] data = new String[7][2];
//acending order test
BinarySearchTree testTree = new BinarySearchTree();
startTime=System.nanoTime();
for(int i=0; i<BSTSize; i++){
System.out.println("test1,"+i);
testTree.insert(i);
}
data[0][1] = String.format("%,d", testTree.hight(testTree.root()));
System.out.println("test2");
endTime=System.nanoTime();
data[0][0]=String.format("%,d", endTime-startTime);
testTree.inorderTraversal(testTree.root());
System.out.println();
//decending order test
testTree = new BinarySearchTree();
startTime=System.nanoTime();
for(int i=BSTSize-1; i>=0; i--){
System.out.println("test3,"+i);
testTree.insert(i);
}
data[1][1] = String.format("%,d", testTree.hight(testTree.root()));
System.out.println("test4,");
endTime=System.nanoTime();
data[1][0]=String.format("%,d", endTime-startTime);
testTree.inorderTraversal(testTree.root());
System.out.println();
//generate arrray containing numbers 0 through 999,999, for 1 million unique numbers.
int[] uniqueNumbers = new int[BSTSize];
for(int i=0; i<BSTSize; i++){
uniqueNumbers[i]=i;
}
//random tests
for(int i=0; i<5; i++){
testTree = new BinarySearchTree();
shuffleArray(uniqueNumbers);
startTime=System.nanoTime();
for(int j=0; j<uniqueNumbers.length; j++){
System.out.println("test5,"+i+","+j);
testTree.insert(uniqueNumbers[j]);
}
data[i+2][1]=String.format("%,d", testTree.hight(testTree.root()));
System.out.println("test6,"+i);
endTime=System.nanoTime();
data[i+2][0]=String.format("%,d", endTime-startTime);
testTree.inorderTraversal(testTree.root());
System.out.println();
}
String[] colHeaders = {"Time taken", "Tree hight"};
System.out.println(ASCIITable.render(data, 2, "Binary search trees", colHeaders));
}
//quick helper function to shuffle an array in place
public static void shuffleArray(int[] array){
Random rgen = new Random();
for(int i=0; i<array.length; i++){
int randomPosition = rgen.nextInt(array.length);
//could do this with a temp array that we later return, but to save a bit of memory, we can do this in place.
int temp = array[i];
array[i]=array[randomPosition];
array[randomPosition]=temp;
}
}
}

21
Lab110-VenbergGE/src/LinkedQueue.java Normal file
View file

@ -0,0 +1,21 @@
/*
* 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();}
}

21
Lab110-VenbergGE/src/Position.java Normal file
View file

@ -0,0 +1,21 @@
/*
* 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;
}

28
Lab110-VenbergGE/src/Queue.java Normal file
View file

@ -0,0 +1,28 @@
/**
* 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();
}

78
Lab110-VenbergGE/src/SinglyLinkedList.java Normal file
View file

@ -0,0 +1,78 @@
/**
*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;
}
}

29
Lab110-VenbergGE/src/Tree.java Normal file
View file

@ -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();
}