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libs/graph/example/minimum_degree_ordering.cpp

//-*-c++-*-
//=======================================================================
// Copyright 1997-2001 University of Notre Dame.
// Authors: Lie-Quan Lee
//
// 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)
//=======================================================================

/*
  This file is to demo how to use minimum_degree_ordering algorithm.

  Important Note: This implementation requires the BGL graph to be
  directed.  Therefore, nonzero entry (i, j) in a symmetrical matrix
  A coresponds to two directed edges (i->j and j->i).

  The bcsstk01.rsa is an example graph in Harwell-Boeing format,
  and bcsstk01 is the ordering produced by Liu's MMD implementation.
  Link this file with iohb.c to get the harwell-boeing I/O functions.
  To run this example, type:

  ./minimum_degree_ordering bcsstk01.rsa bcsstk01

*/

#include <boost/config.hpp>
#include <fstream>
#include <iostream>
#include "boost/graph/adjacency_list.hpp"
#include "boost/graph/graph_utility.hpp"
#include "boost/graph/minimum_degree_ordering.hpp"

void terminate(const char* msg)
{
    std::cerr << msg << std::endl;
    abort();
}

// copy and modify from mtl harwell boeing stream
struct harwell_boeing
{
    harwell_boeing(char* filename)
    {
        int Nrhs;
        char* Type;
        Type = new char[4];
        isComplex = false;
        // Never called:
        // readHB_info(filename, &M, &N, &nonzeros, &Type, &Nrhs);
        colptr = (int*)malloc((N + 1) * sizeof(int));
        if (colptr == NULL)
            terminate("Insufficient memory for colptr.\n");
        rowind = (int*)malloc(nonzeros * sizeof(int));
        if (rowind == NULL)
            terminate("Insufficient memory for rowind.\n");

        if (Type[0] == 'C')
        {
            isComplex = true;
            val = (double*)malloc(nonzeros * sizeof(double) * 2);
            if (val == NULL)
                terminate("Insufficient memory for val.\n");
        }
        else
        {
            if (Type[0] != 'P')
            {
                val = (double*)malloc(nonzeros * sizeof(double));
                if (val == NULL)
                    terminate("Insufficient memory for val.\n");
            }
        }
        // Never called:
        // readHB_mat_double(filename, colptr, rowind, val);

        cnt = 0;
        col = 0;
        delete[] Type;
    }

    ~harwell_boeing()
    {
        free(colptr);
        free(rowind);
        free(val);
    }

    inline int nrows() const { return M; }

    int cnt;
    int col;
    int* colptr;
    bool isComplex;
    int M;
    int N;
    int nonzeros;
    int* rowind;
    double* val;
};

int main(int argc, char* argv[])
{
    using namespace std;
    using namespace boost;

    if (argc < 2)
    {
        cout << argv[0] << " HB file" << endl;
        return -1;
    }

    int delta = 0;

    if (argc >= 4)
        delta = atoi(argv[3]);

    harwell_boeing hbs(argv[1]);

    // must be BGL directed graph now
    typedef adjacency_list< vecS, vecS, directedS > Graph;

    int n = hbs.nrows();

    cout << "n is " << n << endl;

    Graph G(n);

    int num_edge = 0;

    for (int i = 0; i < n; ++i)
        for (int j = hbs.colptr[i]; j < hbs.colptr[i + 1]; ++j)
            if ((hbs.rowind[j - 1] - 1) > i)
            {
                add_edge(hbs.rowind[j - 1] - 1, i, G);
                add_edge(i, hbs.rowind[j - 1] - 1, G);
                num_edge++;
            }

    cout << "number of off-diagnal elements: " << num_edge << endl;

    typedef std::vector< int > Vector;

    Vector inverse_perm(n, 0);
    Vector perm(n, 0);

    Vector supernode_sizes(n, 1); // init has to be 1

    boost::property_map< Graph, vertex_index_t >::type id
        = get(vertex_index, G);

    Vector degree(n, 0);

    minimum_degree_ordering(G,
        make_iterator_property_map(&degree[0], id, degree[0]), &inverse_perm[0],
        &perm[0],
        make_iterator_property_map(&supernode_sizes[0], id, supernode_sizes[0]),
        delta, id);

    if (argc >= 3)
    {
        ifstream input(argv[2]);
        if (input.fail())
        {
            cout << argv[3] << " is failed to open!. " << endl;
            return -1;
        }
        int comp;
        bool is_correct = true;
        int i;
        for (i = 0; i < n; i++)
        {
            input >> comp;
            if (comp != inverse_perm[i] + 1)
            {
                cout << "at i= " << i << ": " << comp
                     << " ***is NOT EQUAL to*** " << inverse_perm[i] + 1
                     << endl;
                is_correct = false;
            }
        }
        for (i = 0; i < n; i++)
        {
            input >> comp;
            if (comp != perm[i] + 1)
            {
                cout << "at i= " << i << ": " << comp
                     << " ***is NOT EQUAL to*** " << perm[i] + 1 << endl;
                is_correct = false;
            }
        }
        if (is_correct)
            cout << "Permutation and inverse permutation are correct. " << endl;
        else
            cout << "WARNING -- Permutation or inverse permutation is not the "
                 << "same ones generated by Liu's " << endl;
    }
    return 0;
}