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<html>
<head>
<title>
QUAD2D_OPENMP - Estimate an Integral over a 2D Domain using OpenMP
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
QUAD2D_OPENMP <br> Estimate an Integral over a 2D Domain using OpenMP
</h1>
<hr>
<p>
<b>QUAD_OPENMP</b>
is a C++ program which
estimates an integral over a 2D rectangular domain by using an averaging technique,
and uses OpenMP to carry out the calculation in parallel.
</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>QUAD2D_OPENMP</b> is available in
<a href = "../../c_src/quad2d_openmp/quad2d_openmp.html">a C version</a> and
<a href = "../../cpp_src/quad2d_openmp/quad2d_openmp.html">a C++ version</a> and
<a href = "../../f77_src/quad2d_openmp/quad2d_openmp.html">a FORTRAN77 version</a> and
<a href = "../../f_src/quad2d_openmp/quad2d_openmp.html">a FORTRAN90 version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/dijkstra_openmp/dijkstra_openmp.html">
DIJKSTRA_OPENMP</a>,
a C++ program which
uses OpenMP to parallelize a simple example of Dijkstra's
minimum distance algorithm for graphs.
</p>
<p>
<a href = "../../cpp_src/fft_openmp/fft_openmp.html">
FFT_OPENMP</a>,
a C++ program which
demonstrates the computation of a Fast Fourier Transform
in parallel, using OpenMP.
</p>
<p>
<a href = "../../cpp_src/heated_plate_openmp/heated_plate_openmp.html">
HEATED_PLATE_OPENMP</a>,
a C++ program which
solves the steady (time independent) heat equation in a 2D
rectangular region, using OpenMP to run in parallel.
</p>
<p>
<a href = "../../cpp_src/hello_openmp/hello_openmp.html">
HELLO_OPENMP</a>,
a C++ program which
prints out "Hello, world!" using the OpenMP parallel programming environment.
</p>
<p>
<a href = "../../cpp_src/md/md.html">
MD</a>,
a C++ program which
carries out a molecular dynamics simulation, and is intended as
a starting point for implementing an OpenMP parallel version.
</p>
<p>
<a href = "../../cpp_src/md_openmp/md_openmp.html">
MD_OPENMP</a>,
a C++ program which
carries out a molecular dynamics simulation using OpenMP.
<p>
<p>
<a href = "../../cpp_src/multitask_openmp/multitask_openmp.html">
MULTITASK_OPENMP</a>,
a C++ 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 = "../../cpp_src/mxv_openmp/mxv_openmp.html">
MXM_OPENMP</a>,
a C++ program which
computes a dense matrix product C=A*B,
using OpenMP for parallel execution.
<p>
<p>
<a href = "../../c_src/mxv_openmp/mxv_openmp.html">
MXV_OPENMP</a>,
a C++ program which
compares the performance of plain vanilla Fortran and the FORTRAN90
intrinsic routine MATMUL, for the matrix multiplication problem
y=A*x, with and without parallelization by OpenMP.
<p>
<p>
<a href = "../../cpp_src/openmp/openmp.html">
OPENMP</a>,
C++ programs which
illustrate the use of the OpenMP application program interface
for carrying out parallel computations in a shared memory environment.
</p>
<p>
<a href = "../../cpp_src/poisson_openmp/poisson_openmp.html">
POISSON_OPENMP</a>,
a C++ 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 = "../../cpp_src/prime_openmp/prime_openmp.html">
PRIME_OPENMP</a>,
a C++ program which
counts the number of primes between 1 and N, using OpenMP for parallel execution.
</p>
<p>
<a href = "../../cpp_src/pthreads/pthreads.html">
PTHREADS</a>,
C++ programs which
illustrate the use of the POSIX thread library to carry out
parallel program execution.
</p>
<p>
<a href = "../../cpp_src/quad_openmp/quad_openmp.html">
QUAD_OPENMP</a>,
a C++ program which
estimates an integral over an interval,
using OpenMP for parallel execution.
</p>
<p>
<a href = "../../cpp_src/quad2d_serial/quad2d_serial.html">
QUAD2D_SERIAL</a>,
a C++ program which
approximates an integral over a 2D region using a product quadrature rule,
and is intended as a starting point for parallelization exercises.
</p>
<p>
<a href = "../../cpp_src/random_openmp/random_openmp.html">
RANDOM_OPENMP</a>,
a C++ program which
illustrates how a parallel program using OpenMP can generate multiple
distinct streams of random numbers.
</p>
<p>
<a href = "../../cpp_src/satisfy_openmp/satisfy_openmp.html">
SATISFY_OPENMP</a>,
a C++ 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 = "../../cpp_src/schedule_openmp/schedule_openmp.html">
SCHEDULE_OPENMP</a>,
a C++ program which
demonstrates the default, static, and dynamic methods of "scheduling"
loop iterations in OpenMP to avoid work imbalance.
<p>
<p>
<a href = "../../cpp_src/sgefa_openmp/sgefa_openmp.html">
SGEFA_OPENMP</a>,
a C++ program which
reimplements the SGEFA/SGESL linear algebra routines from
LINPACK for use with OpenMP.
</p>
<p>
<a href = "../../cpp_src/ziggurat_openmp/ziggurat_openmp.html">
ZIGGURAT_OPENMP</a>,
a C++ 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>
<li>
<a href = "http://www.openmp.org/">The OpenMP web site</a>
</li>
<li>
OpenMP Architecture Review Board,<br>
OpenMP Application Program Interface,<br>
Version 3.0,<br>
May 2008.
</li>
</ol>
</p>
<h3 align = "center">
Source code:
</h3>
<p>
<ul>
<li>
<a href = "quad2d_openmp.cpp">quad2d_openmp.cpp</a>,
the source code for the 2D problem;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>QUAD2D_LOCAL_G++</b> compiles, links, loads and runs the program
using 1, 2 and 4 threads, the local interactive environment,
and the g++ compiler.
<ul>
<li>
<a href = "quad2d_local_g++.sh">quad2d_local_g++.sh</a>,
BASH commands.
</li>
<li>
<a href = "quad2d_local_g++_output.txt">quad2d_local_g++_output.txt</a>,
the output file;
</li>
</ul>
</p>
<p>
<b>QUAD2D_LOCAL_ICPC</b> compiles, links, loads and runs the program
using 1, 2 and 4 threads, the local interactive environment,
and the icpc compiler.
<ul>
<li>
<a href = "quad2d_local_icpc.sh">quad2d_local_icpc.sh</a>,
BASH commands.
</li>
<li>
<a href = "quad2d_local_icpc_output.txt">quad2d_local_icpc_output.txt</a>,
the output file;
</li>
</ul>
</p>
<p>
<b>QUAD2D_ITHACA_G++</b> compiles, links, loads and runs the program
using 1, 2 and 4 threads, using the PBS queueing system on Virginia
Tech's Ithaca cluster, and the g++ compiler.
<ul>
<li>
<a href = "quad2d_ithaca_g++.sh">quad2d_ithaca_g++.sh</a>,
BASH commands.
</li>
<li>
<a href = "quad2d_ithaca_g++_output.txt">quad2d_ithaca_g++_output.txt</a>,
the output file;
</li>
</ul>
</p>
<p>
<b>QUAD2D_ITHACA_ICPC</b> compiles, links, loads and runs the program
using 1, 2 and 4 threads, using the PBS queueing system on Virginia
Tech's Ithaca cluster,
and the icpc compiler.
<ul>
<li>
<a href = "quad2d_ithaca_icpc.sh">quad2d_ithaca_icpc.sh</a>,
BASH commands.
</li>
<li>
<a href = "quad2d_ithaca_icpc_output.txt">quad2d_ithaca_icpc_output.txt</a>,
the output file;
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 11 October 2011.
</i>
<!-- John Burkardt -->
</body>
</html>