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//
//=======================================================================
// Copyright 2002 Marc Wintermantel (wintermantel@imes.mavt.ethz.ch)
// ETH Zurich, Center of Structure Technologies (www.imes.ethz.ch/st)
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//=======================================================================
//
#include <boost/config.hpp>
#include <vector>
#include <iostream>
#include <boost/graph/adjacency_list.hpp>
#include <boost/graph/sloan_ordering.hpp>
#include <boost/graph/properties.hpp>
#include <boost/graph/bandwidth.hpp>
#include <boost/graph/profile.hpp>
#include <boost/graph/wavefront.hpp>
using std::cout;
using std::endl;
/*
Sample Output
#####################################
### First light of sloan-ordering ###
#####################################
original bandwidth: 8
original profile: 42
original max_wavefront: 7
original aver_wavefront: 4.2
original rms_wavefront: 4.58258
Starting vertex: 0
Pseudoperipheral vertex: 9
Pseudoperipheral radius: 4
Sloan ordering starting at: 0
0 8 3 7 5 2 4 6 1 9
bandwidth: 4
profile: 28
max_wavefront: 4
aver_wavefront: 2.8
rms_wavefront: 2.93258
Sloan ordering without a start-vertex:
8 0 3 7 5 2 4 6 1 9
bandwidth: 4
profile: 27
max_wavefront: 4
aver_wavefront: 2.7
rms_wavefront: 2.84605
###############################
### sloan-ordering finished ###
###############################
*/
int main(int , char* [])
{
cout << endl;
cout << "#####################################" << endl;
cout << "### First light of sloan-ordering ###" << endl;
cout << "#####################################" << endl << endl;
using namespace boost;
using namespace std;
//Defining the graph type
typedef adjacency_list<
setS,
vecS,
undirectedS,
property<
vertex_color_t,
default_color_type,
property<
vertex_degree_t,
int,
property<
vertex_priority_t,
double > > > > Graph;
typedef graph_traits<Graph>::vertex_descriptor Vertex;
typedef graph_traits<Graph>::vertices_size_type size_type;
typedef std::pair<std::size_t, std::size_t> Pair;
Pair edges[14] = { Pair(0,3), //a-d
Pair(0,5), //a-f
Pair(1,2), //b-c
Pair(1,4), //b-e
Pair(1,6), //b-g
Pair(1,9), //b-j
Pair(2,3), //c-d
Pair(2,4), //c-e
Pair(3,5), //d-f
Pair(3,8), //d-i
Pair(4,6), //e-g
Pair(5,6), //f-g
Pair(5,7), //f-h
Pair(6,7) }; //g-h
//Creating a graph and adding the edges from above into it
Graph G(10);
for (int i = 0; i < 14; ++i)
add_edge(edges[i].first, edges[i].second, G);
//Creating two iterators over the vertices
graph_traits<Graph>::vertex_iterator ui, ui_end;
//Creating a property_map with the degrees of the degrees of each vertex
property_map<Graph,vertex_degree_t>::type deg = get(vertex_degree, G);
for (boost::tie(ui, ui_end) = vertices(G); ui != ui_end; ++ui)
deg[*ui] = degree(*ui, G);
//Creating a property_map for the indices of a vertex
property_map<Graph, vertex_index_t>::type index_map = get(vertex_index, G);
std::cout << "original bandwidth: " << bandwidth(G) << std::endl;
std::cout << "original profile: " << profile(G) << std::endl;
std::cout << "original max_wavefront: " << max_wavefront(G) << std::endl;
std::cout << "original aver_wavefront: " << aver_wavefront(G) << std::endl;
std::cout << "original rms_wavefront: " << rms_wavefront(G) << std::endl;
//Creating a vector of vertices
std::vector<Vertex> sloan_order(num_vertices(G));
//Creating a vector of size_type
std::vector<size_type> perm(num_vertices(G));
{
//Setting the start node
Vertex s = vertex(0, G);
int ecc; //defining a variable for the pseudoperipheral radius
//Calculating the pseudoeperipheral node and radius
Vertex e = pseudo_peripheral_pair(G, s, ecc, get(vertex_color, G), get(vertex_degree, G) );
cout << endl;
cout << "Starting vertex: " << s << endl;
cout << "Pseudoperipheral vertex: " << e << endl;
cout << "Pseudoperipheral radius: " << ecc << endl << endl;
//Sloan ordering
sloan_ordering(G, s, e, sloan_order.begin(), get(vertex_color, G),
get(vertex_degree, G), get(vertex_priority, G));
cout << "Sloan ordering starting at: " << s << endl;
cout << " ";
for (std::vector<Vertex>::const_iterator i = sloan_order.begin();
i != sloan_order.end(); ++i)
cout << index_map[*i] << " ";
cout << endl;
for (size_type c = 0; c != sloan_order.size(); ++c)
perm[index_map[sloan_order[c]]] = c;
std::cout << " bandwidth: "
<< bandwidth(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " profile: "
<< profile(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " max_wavefront: "
<< max_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " aver_wavefront: "
<< aver_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " rms_wavefront: "
<< rms_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
}
/////////////////////////////////////////////////
//Version including finding a good starting point
/////////////////////////////////////////////////
{
//sloan_ordering
sloan_ordering(G, sloan_order.begin(),
get(vertex_color, G),
make_degree_map(G),
get(vertex_priority, G) );
cout << endl << "Sloan ordering without a start-vertex:" << endl;
cout << " ";
for (std::vector<Vertex>::const_iterator i=sloan_order.begin();
i != sloan_order.end(); ++i)
cout << index_map[*i] << " ";
cout << endl;
for (size_type c = 0; c != sloan_order.size(); ++c)
perm[index_map[sloan_order[c]]] = c;
std::cout << " bandwidth: "
<< bandwidth(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " profile: "
<< profile(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " max_wavefront: "
<< max_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " aver_wavefront: "
<< aver_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
std::cout << " rms_wavefront: "
<< rms_wavefront(G, make_iterator_property_map(&perm[0], index_map, perm[0]))
<< std::endl;
}
cout << endl;
cout << "###############################" << endl;
cout << "### sloan-ordering finished ###" << endl;
cout << "###############################" << endl << endl;
return 0;
}
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