inizializzazione di graph e partition

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2014-05-20 17:51:31 +02:00
parent 0b0e20baf8
commit 4420be5086
4 changed files with 404 additions and 0 deletions

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package graph;
/**
* Created with xgiovio.macbookair.
* User: xgiovio
* Date: 19/05/14
* Time: 16:30
*/
import java.util.Iterator;
/**
* An realization of a graph according to adjacency list structure.
*
* @author Roberto Tamassia, Eric Zamore
*/
public class AdjacencyListGraph<V,E> implements Graph<V,E> {
protected NodePositionList<Vertex<V>> VList; // container for vertices
protected NodePositionList<Edge<E>> EList; // container for edges
/** Default constructor that creates an empty graph */
public AdjacencyListGraph() {
VList = new NodePositionList<Vertex<V>>();
EList = new NodePositionList<Edge<E>>();
}
/** Return an iterator over the vertices of the graph */
public Iterable<Vertex<V>> vertices() {
return VList;
}
/** Return an iterator over the edges of the graph */
public Iterable<Edge<E>> edges() {
return EList;
}
/** Replace the element a given position (vertex or edge) with a new
element and return the old element */
public Object replace(Position p, Object o)
throws InvalidPositionException {
MyPosition pp = checkPosition(p);
Object temp = p.element();
pp.setElement(o);
return temp;
}
/** Return an iterator over the edges incident on a vertex */
public Iterable<Edge<E>> incidentEdges(Vertex<V> v)
throws InvalidPositionException {
MyVertex<V> vv = checkVertex(v);
return vv.incidentEdges();
}
/** Return the endvertices of a edge in an array of length 2 */
public Vertex<V>[] endVertices(Edge<E> e)
throws InvalidPositionException {
MyEdge<E> ee = checkEdge(e);
return ee.endVertices();
}
/** Return the other endvertex of an incident edge */
public Vertex<V> opposite(Vertex<V> v, Edge<E> e)
throws InvalidPositionException {
checkVertex(v);
MyEdge<E> ee = checkEdge(e);
Vertex<V>[] endv = ee.endVertices();
if (v == endv[0])
return endv[1];
else if (v == endv[1])
return endv[0];
else
throw new InvalidPositionException("No such vertex exists");
}
/** Test whether two vertices are adjacent */
public boolean areAdjacent(Vertex<V> u, Vertex<V> v)
throws InvalidPositionException {
// search the incidence list of the vertex with smaller degree
Iterable<Edge<E>> iterToSearch;
if (degree(u) < degree(v)) {
iterToSearch = incidentEdges(u);
}
else {
iterToSearch = incidentEdges(v);
}
for (Edge<E> e: iterToSearch ) {
Vertex<V>[] endV = endVertices(e);
// if there exists an edge whose endpoints are u and v
if ((endV[0] == u && endV[1] == v) || (endV[0] == v && endV[1] == u))
return true;
}
return false;
}
/** Insert and return a new vertex with a given element */
public Vertex<V> insertVertex(V o) {
MyVertex<V> vv = new MyVertex<V>(o);
VList.addLast(vv);
Position<Vertex<V>> p = VList.last();
vv.setLocation(p);
return vv;
}
/** Insert and return a new edge with a given element between two
vertices */
public Edge<E> insertEdge(Vertex<V> v, Vertex<V> w, E o)
throws InvalidPositionException {
MyVertex<V> vv = checkVertex(v);
MyVertex<V> ww = checkVertex(w);
MyEdge<E> ee = new MyEdge<E>(v, w, o);
Position<Edge<E>> pv = vv.insertIncidence(ee);
Position<Edge<E>> pw = ww.insertIncidence(ee);
ee.setIncidences(pv, pw);
EList.addLast(ee);
Position<Edge<E>> pe = EList.last();
ee.setLocation(pe);
return ee;
}
/** Remove a vertex and all its incident edges and return the
element stored at the removed vertex */
public V removeVertex(Vertex<V> v)
throws InvalidPositionException {
MyVertex<V> vv = checkVertex(v);
Iterator<Edge<E>> inc = incidentEdges(v).iterator();
while (inc.hasNext()) {
MyEdge<E> e = (MyEdge<E>) inc.next();
if (e.location() != null) // if the edge has not been marked invalid
removeEdge(e);
}
VList.remove(vv.location());
return v.element();
}
/** Remove an edge and return its element */
public E removeEdge(Edge<E> e)
throws InvalidPositionException {
MyEdge<E> ee = checkEdge(e);
MyVertex<V>[] endv = ee.endVertices();
Position<Edge<E>>[] inc = ee.incidences();
endv[0].removeIncidence(inc[0]);
endv[1].removeIncidence(inc[1]);
EList.remove(ee.location());
ee.setLocation(null); // invalidating this edge
return e.element();
}
// Auxiliary methods
/** Return the degree of a given vertex */
public int degree(Vertex<V> v) {
MyVertex<V> vv = checkVertex(v);
return vv.degree();
}
/** Determines whether a given position is valid. */
protected MyPosition checkPosition(Position p)
throws InvalidPositionException {
if (p == null || !(p instanceof MyPosition))
throw new InvalidPositionException("Position is invalid");
return (MyPosition) p;
}
/** Determines whether a given vertex is valid. */
protected MyVertex<V> checkVertex(Vertex<V> v)
throws InvalidPositionException {
if (v == null || !(v instanceof MyVertex))
throw new InvalidPositionException("Vertex is invalid");
return (MyVertex<V>) v;
}
/** Determines whether a given edge is valid. */
protected MyEdge<E> checkEdge(Edge<E> e)
throws InvalidPositionException {
if (e == null || !(e instanceof MyEdge))
throw new InvalidPositionException("Edge is invalid");
return (MyEdge<E>) e;
}
/** Implementation of a decorable position by means of a hash
* table. */
protected static class MyPosition<T>
extends HashTableMap<Object,Object> implements DecorablePosition<T> {
/** The element stored at this position. */
protected T elem;
/** Returns the element stored at this position. */
public T element() {
return elem;
}
/** Sets the element stored at this position. */
public void setElement(T o) {
elem = o;
}
}
/** Returns a string representation of the vertex and edge lists,
* separated by a newline. */
public String toString() {
return VList.toString() + "\n" + EList.toString();
}
public int numVertices() {
return VList.size();
}
public int numEdges() {
return EList.size();
}
public V replace(Vertex<V> p, V o) throws InvalidPositionException {
V temp = p.element();
MyVertex<V> vv = checkVertex(p);
vv.setElement(o);
return temp;
}
public E replace(Edge<E> p, E o) throws InvalidPositionException {
E temp = p.element();
MyEdge<E> ee = checkEdge(p);
ee.setElement(o);
return temp;
}
/** Implementation of a vertex for an undirected adjacency list
* graph. Each vertex stores its incidence container and position
* in the vertex container of the graph. */
protected class MyVertex<V>
extends MyPosition<V> implements Vertex<V> {
/** Incidence container of the vertex. */
protected PositionList<Edge<E>> incEdges;
/** Position of the vertex in the vertex container of the graph. */
protected Position<Vertex<V>> loc;
/** Constructs the vertex with the given element. */
MyVertex(V o) {
elem = o;
incEdges = new NodePositionList<Edge<E>>();
}
/** Return the degree of a given vertex */
public int degree() {
return incEdges.size();
}
/** Returns the incident edges on this vertex. */
public Iterable<Edge<E>> incidentEdges() {
return incEdges;
}
/** Inserts an edge into the incidence container of this vertex. */
public Position<Edge<E>> insertIncidence(Edge<E> e) {
incEdges.addLast(e);
return incEdges.last();
}
/** Removes an edge from the incidence container of this vertex. */
public void removeIncidence(Position<Edge<E>> p) {
incEdges.remove(p);
}
/** Returns the position of this vertex in the vertex container of
* the graph. */
public Position<Vertex<V>> location() {
return loc;
}
/** Sets the position of this vertex in the vertex container of
* the graph. */
public void setLocation(Position<Vertex<V>> p) {
loc = p;
}
/** Returns a string representation of the element stored at this
* vertex. */
public String toString() {
return elem.toString();
}
}
/** Implementation of an edge for an undirected adjacency list
* graph. Each edge stores its endpoints (end vertices), its
* positions within the incidence containers of its endpoints, and
* position in the edge container of the graph. */
protected class MyEdge<E> extends MyPosition<E> implements Edge<E> {
/** The end vertices of the edge. */
protected MyVertex<V>[] endVertices;
/** The positions of the entries for the edge in the incidence
* containers of the end vertices. */
protected Position<Edge<E>>[] Inc;
/** The position of the edge in the edge container of the
* graph. */
protected Position<Edge<E>> loc;
/** Constructs an edge with the given endpoints and elements. */
MyEdge (Vertex<V> v, Vertex<V> w, E o) {
elem = o;
endVertices = (MyVertex<V>[]) new MyVertex[2];
endVertices[0] = (MyVertex<V>)v;
endVertices[1] = (MyVertex<V>)w;
Inc = (Position<Edge<E>>[]) new Position[2];
}
/** Returns the end vertices of the edge. There are always two
* elements in the returned array. */
public MyVertex<V>[] endVertices() {
return endVertices;
}
/** Returns the positions of the edge in the incidence containers
* of its end vertices. The returned array always contains two
* elements. */
public Position<Edge<E>>[] incidences() {
return Inc;
}
/** Sets the positions of the edge in the incidence containers of
* its end vertices. */
public void setIncidences(Position<Edge<E>> pv, Position<Edge<E>> pw) {
Inc[0] = pv;
Inc[1] = pw;
}
/** Returns the position of the edge in the edge container of the
* graph. */
public Position<Edge<E>> location() {
return loc;
}
/** Sets the position of the edge in the edge container of the
* graph. */
public void setLocation(Position<Edge<E>> p) {
loc = p;
}
/** Returns a string representation of the edge via a tuple of
* vertices. */
public String toString() {
return element() + "(" + endVertices[0].toString() +
"," + endVertices[1].toString() + ")";
}
}
}

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package partition;
import set.Set;
/**
* Created with xgiovio.macbookair.
* User: xgiovio
* Date: 19/05/14
* Time: 15:02
*/
public class ListPartition <E> implements Partition<E> {
@Override
public int size() {
return 0;
}
@Override
public boolean isEmpty() {
return false;
}
@Override
public Set<E> makeSet(E x) {
return null;
}
@Override
public Set<E> union(Set<E> A, Set<E> B) {
return null;
}
@Override
public Set<E> find(E x) {
return null;
}
}

26
partition/Partition.java Normal file
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package partition;
import set.Set;
/**
* Created with xgiovio.macbookair.
* User: xgiovio
* Date: 19/05/14
* Time: 14:24
*/
public interface Partition <E> {
public int size();
public boolean isEmpty();
// Restituisce linsieme contenente il solo elemento x
public Set<E> makeSet(E x) ;
// Restituisce lunione di A e B, distruggendo i vecchi insiemi A e B
public Set <E>union(Set<E> A, Set<E> B) ;
// restituisce linsieme che contiene lelemento x
public Set <E> find(E x) ;
}

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@@ -40,6 +40,20 @@ public class OrderedListSet <E> implements Set<E> {
c = in_c; c = in_c;
} }
public OrderedListSet(E in_e,Comparator<E> in_c ){
L = new NodePositionList<E>();
L.addLast(in_e);
c = in_c;
}
public OrderedListSet(E in_e){
L = new NodePositionList<E>();
L.addLast(in_e);
c = new DefaultComparator<E>();
}
@@ -83,6 +97,11 @@ public class OrderedListSet <E> implements Set<E> {
return L.toString(); return L.toString();
} }
//////////////////////// inner class override methods from merge template ///// //////////////////////// inner class override methods from merge template /////
protected class MergeUnion<E> extends MergeTemplate<E>{ protected class MergeUnion<E> extends MergeTemplate<E>{