//****************************************************************************
//
// Function: graph
//
// Purpose: default constructor
//
// Parameters: none
//
// Calls: none
//
// Time Comp: O(1)
//
// Space Com: O(1)
//
//****************************************************************************
#include "graph.h"
Graph::Graph()
{
spanning = false;
}
//****************************************************************************
//
// Function: read_directed
//
// Purpose: Read in if the graph is directed or undirected
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: exit
//
// Time Comp: O(1)
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::read_directed(istream& fin, ostream& fout)
{
string comments;
while(fin.peek() == '%')
{ //get rid of comments
fin.get();
getline(fin, comments);
}
string is_directed;
fin >> is_directed;
if(is_directed == "directed")
{
directed = true;
}
else if(is_directed == "undirected")
{
directed = false;
}
else
{
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
}
//****************************************************************************
//
// Function: read_num_vertices
//
// Purpose: Read in the number of verticies in the graph
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: exit
//
// Time Comp: O(1)
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::read_num_vertices(istream& fin, ostream& fout)
{
string comments;
fin.get();
while(fin.peek() == '%')
{ //get rid of comments
getline(fin, comments);
}
if(!(fin >> num_vertices)) //must be an integer
{
fout << "\nError in input file.\n";
exit(EXIT_FAILURE);
}
if(num_vertices < 1) //must have a vertex
{
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
}
//****************************************************************************
//
// Function: read_vertices_name
//
// Purpose: Read in the name of the verticies of the graph
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: get, getline, new, exit
//
// Time Comp: O(n*n) n = number of vertices in the graph
//
// Space Com: O(n) n = number of vertices in the graph
//
//****************************************************************************
void Graph::read_vertices_name(istream& fin, ostream& fout)
{
array = new list<Node>[num_vertices]; //takes num_vertices space
vector<string>::iterator iter;
string vert_name;
fin.get();
string comments;
for(int i(0); i < num_vertices; ++i) //this runs num_vertices times
{
while(fin.peek() == '%')
{ //get rid of comments
getline(fin, comments);
}
getline(fin, vert_name);
iter = names.begin(); //O(1)
while(true) //this runs at most num_vertices times
{ //keeps the names in alphabetical order
if(iter == names.end())
{
names.push_back(vert_name); //O(1)
break;
}
else if(*iter == vert_name)
{ //can't have duplicate vertex names
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
else if(vert_name < *iter)
{ //keeps in alphabetical order
names.insert(iter, vert_name); //O(n) = number of vertices
break;
}
else
{
++iter;
}
}
}
}
//****************************************************************************
//
// Function: read_num_edges
//
// Purpose: Read the number of edges in the graph.
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: exit
//
// Time Comp: O(1)
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::read_num_edges(istream& fin, ostream& fout)
{
string comments;
while(fin.peek() == '%')
{ //get rid of comments
fin.get();
getline(fin, comments);
}
if(!(fin >> num_edges)) //must be an integer
{
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
if(num_edges < 0)
{ //can't have a negative number of edges
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
}
//****************************************************************************
//
// Function: read_edges
//
// Purpose: Read the edges of the graph in.
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: get, peek, getline, insert_edge, exit
//
// Time Comp: O(n*n or n*e) n = num vertices, e = number of edges
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::read_edges(istream& fin, ostream& fout)
{
string from;
string to;
float the_weight;
string comments;
fin.get();
for(int i(0); i < num_edges; ++i) //runs number of edges in the graph time
{
while(fin.peek() == '%')
{ //get rid of comments
fin.get();
getline(fin, comments);
}
getline(fin, from);
while(fin.peek() == '%')
{ //get rid of commments
fin.get();
getline(fin, comments);
}
getline(fin, to);
while(fin.peek() == '%')
{ //get rid of comments
fin.get();
getline(fin, comments);
}
if(fin.peek() == '\n')
{ //if you leave a blank line it counts as a weight of one
the_weight = 1;
}
else if(!(fin >> the_weight))
{ //has to be a float
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
insert_edge(fout, from, to, the_weight); //O(n + e) n = num vertices
if(!directed) //e = num edges
{ //put the edge in the linked list
insert_edge(fout, to, from, the_weight);
}
fin.get();
}
}
//****************************************************************************
//
// Function: read_start
//
// Purpose: Read the vertex to start the bfs with.
//
// Parameters: fin - the input file stream
// fout - the output file stream
//
// Calls: peek, get, getline, get_id
//
// Time Comp: O(n) n = number of vertices
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::read_start(istream& fin, ostream& fout)
{
string comments;
while(fin.peek() == '%')
{ //get rid of comments
fin.get();
getline(fin, comments);
}
string start_node;
getline(fin, start_node);
start_vertex = get_id(fout, start_node); //O(n) n = number of vertices
}
//****************************************************************************
//
// Function: insert_edge
//
// Purpose: Insert an edge into the list of from.
//
// Parameters: fout - the output file stream
// from - beginning place of the edge
// to - ending place of the edge
// the_weight - the value of the edge
//
// Calls: get_id, begin, empty, push_front, end, push_back
//
// Time Comp: O(n + e) n = number of vertices, e = number of edges
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::insert_edge(ostream& fout, string from, string to,
float the_weight)
{
size_t from_id = get_id(fout, from); //O(n) n = num_vertices
size_t to_id = get_id(fout, to); //O(n)
list<Node>::iterator iter = array[from_id].begin(); //O(1)
if(array[from_id].empty()) //(1)
{ //first edge in the list
array[from_id].push_front(Node(to_id, the_weight)); //O(1)
return;
}
for(iter = array[from_id].begin(); iter != array[from_id].end(); ++iter)
{ //O(e) e = number of edges in the graph
if(iter -> weight > the_weight)
{ //insert edges in order of weight
array[from_id].insert(iter, Node(to_id, the_weight)); //O(1)
return;
}
}
array[from_id].push_back(Node(to_id, the_weight)); //O(1)
}
//****************************************************************************
//
// Function: get_id
//
// Purpose: Returns the array index of in_name
//
// Parameters: fout - the output file stream
// in_name - name of vertex to return the id of
//
// Calls: begin, end, exit
//
// Time Comp: O(n) n = number of vertices in the graph
//
// Space Com: O(1)
//
//****************************************************************************
size_t Graph::get_id(ostream& fout, string in_name)
{
vector<string>::iterator iter;
size_t count(0);
for(iter = names.begin(); iter != names.end(); ++iter) //runs number of
{ //find name //vertices in graph
if(*iter == in_name)
{
return count;
}
++count;
}
fout << "\nError in input file.\n\n";
exit(EXIT_FAILURE);
}
//****************************************************************************
//
// Function: bfs
//
// Purpose: This prints a breadth first search of the graph.
//
// Parameters: fout - the output file stream
//
// Calls: new, push, empty, front, pop, begin, end, get_id
//
// Time Comp: O(n*e) n = number of vertices e = number of edges
//
// Space Com: O(n) n = number of vertices in the graph
//
//****************************************************************************
void Graph::bfs(ostream& fout)
{
bool* visited = new bool[num_vertices]; //num_vertices space
for(int i(0); i < num_vertices; ++i)
{ //initually no nodes have been visited
visited[i] = false;
}
visited[start_vertex] = true; //the start vertex has been visited
queue<size_t> visited_nodes; //this queue can get as big as n = num_nodes
visited_nodes.push(start_vertex); //O(1)
size_t starter;
list<Node>::iterator iter;
while(!visited_nodes.empty()) //O(n) n = number of vertices
{
starter = visited_nodes.front(); //O(1)
visited_nodes.pop(); //O(1)
for(iter = array[starter].begin(); iter != array[starter].end(); ++iter)
{ //O(e) e = number of edges in the graph
//visit all nodes adjacent to starter
if(!visited[iter -> get_id()]) //O(1)
{ //if this vertices hasn't been visited yet
fout << names[starter] <<endl;
fout << names[iter -> get_id()] << endl; //O(1)
fout << iter -> weight << endl;
visited_nodes.push(iter -> get_id()); //O(1)
visited[iter -> get_id()] = true; //O(1)
spanning = true;
}
}
}
delete[] visited;
}
//****************************************************************************
//
// Function: is_spanning
//
// Purpose: If the graph has no spanning tree this prints that out
//
// Parameters: fout - the output file stream
//
// Calls: none
//
// Time Comp: O(1)
//
// Space Com: O(1)
//
//****************************************************************************
void Graph::is_spanning(ostream& fout)
{
if(!spanning)
{
fout << "\nThis graph contains no spanning tree.\n\n";
}
}