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//******************************************************************************
//
// File: FloydClu.java
// Package: edu.rit.clu.network
// Unit: Class edu.rit.clu.network.FloydClu
//
// This Java source file is copyright (C) 2008 by Alan Kaminsky. All rights
// reserved. For further information, contact the author, Alan Kaminsky, at
// ark@cs.rit.edu.
//
// This Java source file is part of the Parallel Java Library ("PJ"). PJ 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.
//
// PJ 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.
//
// Linking this library statically or dynamically with other modules is making a
// combined work based on this library. Thus, the terms and conditions of the
// GNU General Public License cover the whole combination.
//
// As a special exception, the copyright holders of this library give you
// permission to link this library with independent modules to produce an
// executable, regardless of the license terms of these independent modules, and
// to copy and distribute the resulting executable under terms of your choice,
// provided that you also meet, for each linked independent module, the terms
// and conditions of the license of that module. An independent module is a
// module which is not derived from or based on this library. If you modify this
// library, you may extend this exception to your version of the library, but
// you are not obligated to do so. If you do not wish to do so, delete this
// exception statement from your version.
//
// A copy of the GNU General Public License is provided in the file gpl.txt. You
// may also obtain a copy of the GNU General Public License on the World Wide
// Web at http://www.gnu.org/licenses/gpl.html.
//
//******************************************************************************
package edu.rit.clu.network;
import edu.rit.io.DoubleMatrixFile;
import edu.rit.io.Files;
import edu.rit.mp.DoubleBuf;
import edu.rit.pj.Comm;
import edu.rit.util.Range;
import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
/**
* Class FloydClu is a cluster parallel program that uses Floyd's Algorithm to
* calculate the length of the shortest path from each node to every other node
* in a network, given the distance from each node to its adjacent nodes.
* <P>
* Floyd's Algorithm's running time is <I>O</I>(<I>N</I><SUP>3</SUP>), where
* <I>N</I> is the number of nodes. The algorithm is as follows. On input,
* <I>D</I> is an <I>N</I>x<I>N</I> matrix where <I>D[i,j]</I> is the distance
* from node <I>i</I> to adjacent node <I>j</I>; if node <I>j</I> is not
* adjacent to node <I>i</I>, then <I>D[i,j]</I> is infinity. On output,
* <I>D[i,j]</I> has been replaced by the length of the shortest path from node
* <I>i</I> to node <I>j</I>; if there is no path from node <I>i</I> to node
* <I>j</I>, then <I>D[i,j]</I> is infinity.
* <PRE>
* for i = 0 to N-1
* for r = 0 to N-1
* for c = 0 to N-1
* D[r,c] = min (D[r,c], D[r,i] + D[i,c])
* </PRE>
* <P>
* Usage: java -Dpj.np=<I>K</I> edu.rit.clu.network.FloydClu <I>infile</I>
* <I>outfile</I>
* <BR><I>K</I> = Number of parallel processes
* <BR><I>infile</I> = Input distance matrix file
* <BR><I>outfile</I> = Output distance matrix file
* <P>
* The input file (<I>infile</I>) is a binary file written in the format
* required by class {@linkplain edu.rit.io.DoubleMatrixFile}.
* <P>
* Each process writes its own output file containing a row slice of the
* distance matrix after running Floyd's Algorithm. Each output file is a binary
* file written in the format required by class {@linkplain
* edu.rit.io.DoubleMatrixFile}. If <I>outfile</I> is specified as, for example,
* <TT>"output.dat"</TT>, then the per-process output files are named
* <TT>"output_0.dat"</TT>, <TT>"output_1.dat"</TT>, and so on through
* <I>K</I>-1.
* <P>
* The computation is performed in parallel in multiple processors. The program
* measures the total running time (including I/O) and the computation's running
* time (excluding I/O).
*
* @author Alan Kaminsky
* @version 07-Jan-2008
*/
public class FloydClu
{
// Prevent construction.
private FloydClu()
{
}
// Shared variables.
// World communicator.
static Comm world;
static int size;
static int rank;
// Number of nodes.
static int n;
// Distance matrix.
static double[][] d;
// Row broadcast from another process.
static double[] row_i;
static DoubleBuf row_i_buf;
// Main program.
/**
* Main program.
*/
public static void main
(String[] args)
throws Throwable
{
// Start timing.
long t1 = System.currentTimeMillis();
// Initialize world communicator.
Comm.init (args);
world = Comm.world();
size = world.size();
rank = world.rank();
// Parse command line arguments.
if (args.length != 2) usage();
File infile = new File (args[0]);
File outfile = new File (args[1]);
// Prepare to read distance matrix from input file; determine matrix
// dimensions.
DoubleMatrixFile in = new DoubleMatrixFile();
DoubleMatrixFile.Reader reader =
in.prepareToRead
(new BufferedInputStream
(new FileInputStream (infile)));
d = in.getMatrix();
n = d.length;
// Divide distance matrix into equal row slices.
Range[] ranges = new Range (0, n-1) .subranges (size);
Range myrange = ranges[rank];
int mylb = myrange.lb();
int myub = myrange.ub();
// Read just this process's row slice of the distance matrix.
reader.readRowSlice (myrange);
reader.close();
// Allocate storage for row broadcast from another process.
row_i = new double [n];
row_i_buf = DoubleBuf.buffer (row_i);
long t2 = System.currentTimeMillis();
// Run Floyd's Algorithm.
// for i = 0 to N-1
// for r = 0 to N-1
// for c = 0 to N-1
// D[r,c] = min (D[r,c], D[r,i] + D[i,c])
int i_root = 0;
for (int i = 0; i < n; ++ i)
{
double[] d_i = d[i];
// Determine which process owns row i.
if (! ranges[i_root].contains (i)) ++ i_root;
// Broadcast row i from owner process to all processes.
if (rank == i_root)
{
world.broadcast (i_root, DoubleBuf.buffer (d_i));
}
else
{
world.broadcast (i_root, row_i_buf);
d_i = row_i;
}
// Inner loops over rows in my slice and over all columns.
for (int r = mylb; r <= myub; ++ r)
{
double[] d_r = d[r];
for (int c = 0; c < n; ++ c)
{
d_r[c] = Math.min (d_r[c], d_r[i] + d_i[c]);
}
}
}
long t3 = System.currentTimeMillis();
// Write distance matrix slice to a separate output file in each
// process.
DoubleMatrixFile out = new DoubleMatrixFile (n, n, d);
DoubleMatrixFile.Writer writer =
out.prepareToWrite
(new BufferedOutputStream
(new FileOutputStream
(Files.fileForRank (outfile, rank))));
writer.writeRowSlice (myrange);
writer.close();
// Stop timing.
long t4 = System.currentTimeMillis();
System.out.println ((t2-t1) + " msec pre " + rank);
System.out.println ((t3-t2) + " msec calc " + rank);
System.out.println ((t4-t3) + " msec post " + rank);
System.out.println ((t4-t1) + " msec total " + rank);
}
// Hidden operations.
private static void usage()
{
System.err.println ("Usage: java -Dpj.np=<K> edu.rit.clu.network.FloydClu <infile> <outfile>");
System.err.println ("<K> = Number of parallel processes");
System.err.println ("<infile> = Input distance matrix file");
System.err.println ("<outfile> = Output distance matrix file");
System.exit (1);
}
}
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