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mxv_openmp.html
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<html>
<head>
<title>
MXV_OPENMP - Matrix Vector Multiplication Timings with OpenMP
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
MXV_OPENMP <br> Matrix Vector Multiplication Timings with OpenMP
</h1>
<hr>
<p>
<b>MXV_OPENMP</b>
is a FORTRAN90 program which
sets up several matrix vector multiplication problems y=A*x,
and carries them out using
<ul>
<li>
"plain vanilla" FORTRAN;
</li>
<li>
"plain vanilla" FORTRAN plus OpenMP parallelization;
</li>
<li>
the MATMUL FORTRAN90 intrinsic function;
</li>
<li>
the MATMUL FORTRAN90 intrinsic function plus OpenMP parallelization;
</li>
</ul>
</p>
<p>
The calculations are carried out for a variety of matrix shapes and
sizes, and the elapsed wall clock time is measured and reported.
The results are up to the user to analyze and explain!
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<p>
In the BASH shell, the program could be run with 2 threads using the commands:
<pre>
export OMP_NUM_THREADS=2
./mxv_openmp
</pre>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>MXV_OPENMP</b> is available in
<a href = "../../c_src/mxv_openmp/mxv_openmp.html">a C version</a> and
<a href = "../../cpp_src/mxv_openmp/mxv_openmp.html">a C++ version</a> and
<a href = "../../f77_src/mxv_openmp/mxv_openmp.html">a FORTRAN77 version</a> and
<a href = "../../f_src/mxv_openmp/mxv_openmp.html">a FORTRAN90 version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/dijkstra_openmp/dijkstra_openmp.html">
DIJKSTRA_OPENMP</a>,
a FORTRAN90 program which
uses OpenMP to parallelize a simple example of Dijkstra's
minimum distance algorithm for graphs.
</p>
<p>
<a href = "../../f_src/fft_openmp/fft_openmp.html">
FFT_OPENMP</a>,
a FORTRAN90 program which
demonstrates the computation of a Fast Fourier Transform
in parallel, using OpenMP.
</p>
<p>
<a href = "../../f_src/heated_plate_openmp/heated_plate_openmp.html">
HEATED_PLATE_OPENMP</a>,
a FORTRAN90 program which
solves the steady (time independent) heat equation in a 2D
rectangular region, using OpenMP to run in parallel.
</p>
<p>
<a href = "../../f_src/hello_openmp/hello_openmp.html">
HELLO_OPENMP</a>,
a FORTRAN90 program which
prints out "Hello, world!" using the OpenMP parallel programming environment.
</p>
<p>
<a href = "../../f_src/md_openmp/md_openmp.html">
MD_OPENMP</a>,
a FORTRAN90 program which
carries out a molecular dynamics simulation using OpenMP.
<p>
<p>
<a href = "../../f_src/multitask_openmp/multitask_openmp.html">
MULTITASK_OPENMP</a>,
a FORTRAN90 program which
demonstrates how to "multitask", that is, to execute several unrelated
and distinct tasks simultaneously, using OpenMP for parallel execution.
</p>
<p>
<a href = "../../f_src/mxv_openmp/mxv_openmp.html">
MXM_OPENMP</a>,
a FORTRAN90 program which
computes a dense matrix product C=A*B,
using OpenMP for parallel execution.
<p>
<p>
<a href = "../../f_src/mxv/mxv.html">
MXV</a>,
a FORTRAN90 program which
compares the performance of (DO I, DO J) loops, (DO J, DO I ) loops,
and MATMUL for computing the product of an MxN matrix A and an N vector X.
</p>
<p>
<a href = "../../f_src/openmp/openmp.html">
OPENMP</a>,
FORTRAN90 program which
illustrate the use of the OpenMP application program interface
for carrying out parallel computations in a shared memory environment.
</p>
<p>
<a href = "../../f_src/poisson_openmp/poisson_openmp.html">
POISSON_OPENMP</a>,
a FORTRAN90 program which
computes an approximate solution to the Poisson equation in a rectangle,
using the Jacobi iteration to solve the linear system, and OpenMP to
carry out the Jacobi iteration in parallel.
</p>
<p>
<a href = "../../f_src/prime_openmp/prime_openmp.html">
PRIME_OPENMP</a>,
a FORTRAN90 program which
counts the number of primes between 1 and N, using OpenMP for parallel execution.
</p>
<p>
<a href = "../../f_src/quad_openmp/quad_openmp.html">
QUAD_OPENMP</a>,
a FORTRAN90 program which
applies a quadrature rule to estimate an integral, and executes in
parallel using OpenMP.
</p>
<p>
<a href = "../../f_src/random_openmp/random_openmp.html">
RANDOM_OPENMP</a>,
a FORTRAN90 program which
illustrates how a parallel program using OpenMP can generate multiple
distinct streams of random numbers.
</p>
<p>
<a href = "../../f_src/satisfy_openmp/satisfy_openmp.html">
SATISFY_OPENMP</a>,
a FORTRAN90 program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfiability problem,
using OpenMP for parallel execution.
<p>
<p>
<a href = "../../f_src/schedule_openmp/schedule_openmp.html">
SCHEDULE_OPENMP</a>,
a FORTRAN90 program which
demonstrates the default, static, and dynamic methods of "scheduling"
loop iterations in OpenMP to avoid work imbalance.
<p>
<p>
<a href = "../../f_src/sgefa_openmp/sgefa_openmp.html">
SGEFA_OPENMP</a>,
a FORTRAN90 program which
reimplements the SGEFA/SGESL linear algebra routines from
LINPACK for use with OpenMP.
</p>
<p>
<a href = "../../f_src/ziggurat_openmp/ziggurat_openmp.html">
ZIGGURAT_OPENMP</a>,
a FORTRAN90 program which
demonstrates how the ZIGGURAT library can be used to generate random numbers
in an OpenMP parallel program.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Peter Arbenz, Wesley Petersen,<br>
Introduction to Parallel Computing - A practical guide with examples in C,<br>
Oxford University Press,<br>
ISBN: 0-19-851576-6,<br>
LC: QA76.58.P47.
</li>
<li>
Rohit Chandra, Leonardo Dagum, Dave Kohr, Dror Maydan,
Jeff McDonald, Ramesh Menon,<br>
Parallel Programming in OpenMP,<br>
Morgan Kaufmann, 2001,<br>
ISBN: 1-55860-671-8,<br>
LC: QA76.642.P32.
</li>
<li>
Barbara Chapman, Gabriele Jost, Ruud vanderPas, David Kuck,<br>
Using OpenMP: Portable Shared Memory Parallel Processing,<br>
MIT Press, 2007,<br>
ISBN13: 978-0262533027,<br>
LC: QA76.642.C49.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "mxv_openmp.f90">mxv_openmp.f90</a>, the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>MXV_LOCAL</b> runs the program locally.
<ul>
<li>
<a href = "mxv_local.sh">mxv_local.sh</a>,
commands to compile the program and run with 1, 2, 4, and 8 threads.
</li>
<li>
<a href = "mxv_local_output.txt">mxv_local_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
<b>MXV_ITHACA</b> runs the program through ITHACA's batch system.
<ul>
<li>
<a href = "mxv_ithaca.sh">mxv_ithaca.sh</a>,
commands to compile the program and run with 1, 2, 4, and 8 threads.
</li>
<li>
<a href = "mxv_ithaca_output.txt">mxv_ithaca_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for MXV_OPENMP.
</li>
<li>
<b>TEST01</b> compares various algorithms for a given matrix size MxN.
</li>
<li>
<b>MATGEN</b> generates a random matrix A and vector X.
</li>
<li>
<b>MXV_MATMUL</b> computes y = A * x, using the FORTRAN90 MATMUL function.
</li>
<li>
<b>MXV_MATMUL_OPENMP</b> computes y = A * x, using MATMUL + OpenMP.
</li>
<li>
<b>MXV_PLAIN</b> computes y = A * x, using "plain" code.
</li>
<li>
<b>MXV_PLAIN_OPENMP</b> computes y = A * x, using OpenMP parallel directives.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 31 May 2010.
</i>
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