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<html>
<head>
<title>
FFTW3 - Fast Fourier Transforms - FORTRAN77 Calling Examples
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FFTW3 <br> Fast Fourier Transforms <br> FORTRAN77 Calling Examples
</h1>
<hr>
<p>
<b>FFTW3</b>
is a directory of FORTRAN90 programs which
demonstrate the use of the <b>FFTW3</b> library,
which was written by Matteo Frigo and Steven Johnson.
</p>
<p>
<b>FFTW3</b> is a library of C routines which can compute
the Fast Fourier transform very efficiently.
</p>
<p>
<b>FFTW3</b> can compute the discrete Fourier transform of:
<ul>
<li>
complex data;
</li>
<li>
real data;
</li>
<li>
even-symmetric real data (cosine transform);
</li>
<li>
odd-symmetric real data (sine transform);
</li>
</ul>
<b>FFTW3</b> can also compute the discrete Hartley
transform of real data.
</p>
<p>
The length of the data is not required to be a power of
2. Any length of data can be processed.
</p>
<p>
The data is not restricted to 1 dimensional vectors. <b>FFTW3</b>
can handle data that is 2 or 3 dimensional. In fact, the program
can handle data with any dimensionality.
</p>
<p>
Interested users should go to the FFTW home page:
<a href = "http://www.fftw.org/">
http://www.fftw.org/</a>
which contains the current source code, examples, and documentation.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
Any program, subroutine or function that calls the FFTW3 functions must
include, in its declarations, the statement
<pre><code>
include "fftw3.f90"
</code></pre>
which will add the appropriate declarations for the FFTW3 functions.
</p>
<p>
At link time, you must include the compiled FFTW3 library, which
is probably a file with the name <b>libfftw3.a</b>.
If <b>directory</b> is the directory where this library is stored,
then an appropriate command might be
<pre><code>
gfortran myprog.f90 -L<b>directory</b> -lfftw3
</code></pre>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>FFTW3</b> examples are available in
<a href = "../../c_src/fftw3/fftw3.html">a C version</a> and
<a href = "../../f77_src/fftw3/fftw3.html">a FORTRAN77 version</a> and
<a href = "../../f_src/fftw3/fftw3.html">a FORTRAN90 version</a>.
</p>
<h3 align = "center">
Related Programs:
</h3>
<p>
<a href = "../../f_src/fftpack5/fftpack5.html">
FFTPACK5</a>,
a FORTRAN90 library which
implements the Fast Fourier Transform
by Paul Swarztrauber and Dick Valent;
</p>
<p>
<a href = "../../f_src/fftpack5.1/fftpack5.1.html">
FFTPACK5.1</a>,
a FORTRAN90 library which
implements the Fast Fourier Transform
by Paul Swarztrauber and Dick Valent;
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
a C++ library which
includes a number of FFT routines.
</p>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes a number of FFT routines.
</p>
<p>
<a href = "../../f_src/sftpack/sftpack.html">
SFTPACK</a>,
a FORTRAN90 library which
implements the "slow" Fourier transform, intended as a teaching
tool and comparison with the fast Fourier transform.
</p>
<p>
<a href = "../../f_src/walsh/walsh.html">
WALSH</a>,
a FORTRAN90 library which
implements versions of the Walsh and Haar transforms.
</p>
<h3 align = "center">
Author:
</h3>
<p>
The FFTW3 library was written by Matteo Frigo and Steven Johnson.7
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
William Briggs, Van Emden Henson,<br>
The Discrete Fourier Transform,<br>
SIAM,<br>
LC: QA403.5 B75
</li>
<li>
Elbert Brigham,<br>
The Fast Fourier Transform and Its Applications,<br>
Prentice-Hall, 1988.
</li>
<li>
Matteo Frigo, Steven Johnson,<br>
User Manual for FFTW.
</li>
</ol>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "fftw3.f90">fftw3.f90</a>,
the FFTW3 FORTRAN90 include file,
which defines various symbolic constants.
</li>
<li>
<a href = "fftw3_prb.f90">fftw3_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "fftw3_prb.sh">fftw3_prb.sh</a>,
commands to compile, link and run the sample calling program.
</li>
<li>
<a href = "fftw3_prb_output.txt">fftw3_prb_output.txt</a>,
the output file.
</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 18 February 2012.
</i>
<!-- John Burkardt -->
</body>
</html>