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<html>
<head>
<title>
SATISFY_PARFOR - A Parallel MATLAB Function Using PARFOR
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
SATISFY_PARFOR <br> A Parallel MATLAB Function Using PARFOR
</h1>
<hr>
<p>
<b>SATISFY_PARFOR</b>
is a directory which
illustrates how a MATLAB function using the PARFOR statement
can be run in parallel.
</p>
<p>
This problem assumes that we are given a logical circuit of AND, OR and NOT
gates, with N=23 binary inputs and a single output. We are to determine all
inputs which produce a 1 as the output.
</p>
<p>
The general problem is NP complete, so there is no known polynomial-time
algorithm to solve the general case. The natural way to search for solutions
then is exhaustive search of all 2^N possible inputs.
</p>
<p>
In an interesting way, this is a very extreme and discrete version of
the problem of maximizing a scalar function of multiple variables.
The difference is that here we know that both the input and output
only have the values 0 and 1, rather than a continuous range of real
values!
</p>
<p>
This problem is a natural candidate for parallel computation, since
the individual evaluations of the circuit are completely independent.
</p>
<p>
Depending on the situation, the function could be executed in parallel:
<ul>
<li>
interactively, and locally, using the <b>matlabpool</b> command;
</li>
<li>
indirectly, and locally, using the <b>batch</b> command;
</li>
<li>
indirectly, and on the Virginia Tech Ithaca cluster, using the <b>batch</b> command;
</li>
<li>
indirectly, and on the FSU HPC cluster, using the <b>fsuClusterMatlab</b> command;
</li>
</ul>
</p>
<h3 align = "center">
Usage:
</h3>
<p>
The basic calculation is performed by <b>satisfy_fun</b> and has the form:
<blockquote>
<i>solutions</i> = <b>satisfy_fun</b> ( )
</blockquote>
where
<ul>
<li>
<i>solutions</i> is a <i>solution_num</i> by <i>n</i> array,
containing the solutions that were found. Each row is a
sequence of 0's and 1's indicating an assignment of the variables
that makes the formula true.
</li>
</ul>
</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>SATISFY_PARFOR</b> is available in
<a href = "../../m_src/satisfy_parfor/satisfy_parfor.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../data/cnf/cnf.html">
CNF</a>,
a data directory which
describes the DIMACS CNF file format for defining instances of the
satisfy problem for boolean formulas in conjunctive normal form.
</p>
<p>
<a href = "../../m_src/collatz_parfor/collatz_parfor.html">
COLLATZ_PARFOR</a>,
a MATLAB program which
seeks the maximum Collatz sequence between 1 and N,
running in parallel using MATLAB's "PARFOR" feature.
</p>
<p>
<a href = "../../m_src/heated_plate_parfor/heated_plate_parfor.html">
HEATED_PLATE_PARFOR</a>,
a MATLAB program which
solves the steady (time independent) heat equation in a 2D
rectangular region, using MATLAB's parfor facility to run in parallel.
</p>
<p>
<a href = "../../m_src/hello_parfor/hello_parfor.html">
HELLO_PARFOR</a>,
a MATLAB program which
prints out "Hello, world!" multiple times, using MATLAB's PARFOR command
for parallel execution.
</p>
<p>
<a href = "../../m_src/high_card_parfor/high_card_parfor.html">
HIGH_CARD_PARFOR</a>,
a MATLAB program which
uses the parfor statement to compute in parallel the statistics for
a card game in which you are required to guess the location of the
highest card.
</p>
<p>
<a href = "../../m_src/matlab_parallel/matlab_parallel.html">
MATLAB_PARALLEL</a>,
MATLAB program which
illustrate "local" parallel programming on a single computer
with MATLAB's Parallel Computing Toolbox.
</p>
<p>
<a href = "../../m_src/matlab_random_parallel/matlab_random_parallel.html">
MATLAB_RANDOM_PARALLEL</a>,
MATLAB programs which
illustrate the use of Matlab's random number generator (RNG) functions
when using parallel features such as parfor or spmd.
</p>
<p>
<a href = "../../m_src/matrix_assemble_parfor/matrix_assemble_parfor.html">
MATRIX_ASSEMBLE_PARFOR</a>,
a MATLAB program which
demonstrates the parfor parallel programming
feature by assembling the Hilbert matrix in a parallel loop.
</p>
<p>
<a href = "../../m_src/md_parfor/md_parfor.html">
MD_PARFOR</a>,
a MATLAB program which
carries out a molecular dynamics simulation,
running in parallel using MATLAB's "PARFOR" feature.
</p>
<p>
<a href = "../../m_src/ode_sweep_parfor/ode_sweep_parfor.html">
ODE_SWEEP_PARFOR</a>,
a MATLAB program which
demonstrates how the PARFOR command can be used to parallelize the computation
of a grid of solutions to a parameterized system of ODE's.
</p>
<p>
<a href = "../../m_src/prime_parfor/prime_parfor.html">
PRIME_PARFOR</a>,
a MATLAB program which
counts the number of primes between 1 and N;
running in parallel using MATLAB's "PARFOR" feature.
</p>
<p>
<a href = "../../m_src/quad_parfor/quad_parfor.html">
QUAD_PARFOR</a>,
a MATLAB program which
estimates an integral using quadrature;
running in parallel using MATLAB's "PARFOR" feature.
</p>
<p>
<a href = "../../m_src/satisfy/satisfy.html">
SATISFY</a>,
a MATLAB program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfy problem.
</p>
<p>
<a href = "../../f_src/satisfy_mpi/satisfy_mpi.html">
SATISFY_MPI</a>,
a FORTRAN90 program which
demonstrates, for a particular circuit, an exhaustive search
for solutions of the circuit satisfy problem, using MPI to
carry out the calculation in parallel.
</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 satisfy problem,
using OpenMP for parallel execution.
<p>
<p>
<a href = "../../m_src/sparse_parfor/sparse_parfor.html">
SPARSE_PARFOR</a>,
a MATLAB library which
demonstrates how a sparse matrix can be constructed by
evaluating individual blocks in parallel with the <b>parfor</b>
command, and then assembled (on a single processor) using the
sparse() command.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
The User's Guide for the Parallel Computing Toolbox is available at
<a href = "http://www.mathworks.com/access/helpdesk/help/pdf_doc/distcomp/distcomp.pdf">
http://www.mathworks.com/access/helpdesk/help/pdf_doc/distcomp/distcomp.pdf</a>
</p>
<p>
<ol>
<li>
Gaurav Sharma, Jos Martin,<br>
MATLAB: A Language for Parallel Computing,<br>
International Journal of Parallel Programming,<br>
Volume 37, Number 1, pages 3-36, February 2009.
</li>
<li>
Michael Quinn,<br>
Parallel Programming in C with MPI and OpenMP,<br>
McGraw-Hill, 2004,<br>
ISBN13: 978-0071232654,<br>
LC: QA76.73.C15.Q55.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "satisfy_fun.m">satisfy_fun.m</a>
the function which performs the computations.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>SATISFY_POOL</b> executes the function locally and interactively.
<ul>
<li>
<a href = "satisfy_pool.m">satisfy_pool.m</a>
a script which uses the MATLABPOOL command to run the function locally and
interactively.
</li>
<li>
<a href = "satisfy_pool_output.txt">satisfy_pool_output.txt</a>
the output file.
</li>
</ul>
</p>
<p>
<b>SATISFY_POOL</b> executes the function locally and interactively.
<ul>
<li>
<a href = "satisfy_script.m">satisfy_script.m</a>
a script which calls the function, necessary for the BATCH command.
</li>
<li>
<a href = "satisfy_batch_local.m">satisfy_batch_local.m</a>
a script which uses the BATCH command to run the function indirectly
and locally.
</li>
<li>
<a href = "satisfy_batch_local_output.txt">satisfy_batch_local_output.txt</a>
the output file.
</li>
</ul>
</p>
<p>
<b>SATISFY_FSU</b> executes the function remotely on the FSU HPC cluster.
<ul>
<li>
<a href = "satisfy_fsu.m">satisfy_fsu.m</a>
a script which uses the fsuClusterMatlab command to run the function
indirectly on the FSU HPC cluster.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 23 May 2012.
</i>
<!-- John Burkardt -->
</body>
</html>