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walsh.html
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<html>
<head>
<title>
WALSH - Walsh and Haar Transforms
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
WALSH <br> Walsh and Haar Transforms
</h1>
<hr>
<p>
<b>WALSH</b>
is a FORTRAN90 library which
implements versions of the Walsh and Haar transforms.
</p>
<p>
Note that the programs, as printed in the reference, had a few typographical
errors. Several programs, in particular FHT and FRT, could not be made to
perform as described in the text, and hence have been omitted.
</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>WALSH</b> is available in
<a href = "../../c_src/walsh/walsh.html">a C version</a> and
<a href = "../../cpp_src/walsh/walsh.html">a C++ version</a> and
<a href = "../../f77_src/walsh/walsh.html">a FORTRAN77 version</a> and
<a href = "../../f_src/walsh/walsh.html">a FORTRAN90 version</a> and
<a href = "../../m_src/walsh/walsh.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and 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/haar/haar.html">
HAAR</a>,
a FORTRAN90 library which
computes the Haar transform of data.
</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/sine_transform/sine_transform.html">
SINE_TRANSFORM</a>,
a FORTRAN90 library which
demonstrates some simple properties of the discrete sine transform.
</p>
<p>
<a href = "../../f_src/wavelet/wavelet.html">
WAVELET</a>,
a FORTRAN90 library which
does some simple wavelet calculations;
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Ken Beauchamp,<br>
Walsh functions and their applications,<br>
Academic Press, 1975,<br>
ISBN: 0-12-084050-2,<br>
LC: QA404.5.B33.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "walsh.f90">walsh.f90</a>, the source code.
</li>
<li>
<a href = "walsh.sh">walsh.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "walsh_prb.f90">walsh_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "walsh_prb.sh">walsh_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "walsh_prb_output.txt">walsh_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>FFWT</b> performs an in-place fast Walsh transform.
</li>
<li>
<b>FWT</b> performs a fast Walsh transform.
</li>
<li>
<b>HAAR</b> performs a Haar transform.
</li>
<li>
<b>HAARIN</b> inverts a Haar transform.
</li>
<li>
<b>HNORM</b> computes the normalization factors for a forward or inverse Haar transform.
</li>
<li>
<b>I4_LOG_2</b> returns the integer part of the logarithm base 2 of an I4.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of integer division.
</li>
<li>
<b>I4_WRAP</b> forces an I4 to lie between given limits by wrapping.
</li>
<li>
<b>R8VEC_SHIFT_CIRCULAR</b> performs a circular shift on an R8VEC.
</li>
<li>
<b>R8VEC_UNIFORM_01</b> returns a unit pseudorandom R8VEC.
</li>
<li>
<b>TIMESTAMP</b> prints out the current YMDHMS date as a timestamp.
</li>
<li>
<b>WALSH</b> performs a fast Walsh transform.
</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 16 March 2011.
</i>
<!-- John Burkardt -->
</body>
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</html>