furnace/extern/fftw/doc/html/Advanced-Real_002ddata-DFTs...

123 lines
6.2 KiB
HTML

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- This manual is for FFTW
(version 3.3.10, 10 December 2020).
Copyright (C) 2003 Matteo Frigo.
Copyright (C) 2003 Massachusetts Institute of Technology.
Permission is granted to make and distribute verbatim copies of this
manual provided the copyright notice and this permission notice are
preserved on all copies.
Permission is granted to copy and distribute modified versions of this
manual under the conditions for verbatim copying, provided that the
entire resulting derived work is distributed under the terms of a
permission notice identical to this one.
Permission is granted to copy and distribute translations of this manual
into another language, under the above conditions for modified versions,
except that this permission notice may be stated in a translation
approved by the Free Software Foundation. -->
<!-- Created by GNU Texinfo 6.7, http://www.gnu.org/software/texinfo/ -->
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<title>Advanced Real-data DFTs (FFTW 3.3.10)</title>
<meta name="description" content="Advanced Real-data DFTs (FFTW 3.3.10)">
<meta name="keywords" content="Advanced Real-data DFTs (FFTW 3.3.10)">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<link href="index.html" rel="start" title="Top">
<link href="Concept-Index.html" rel="index" title="Concept Index">
<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
<link href="Advanced-Interface.html" rel="up" title="Advanced Interface">
<link href="Advanced-Real_002dto_002dreal-Transforms.html" rel="next" title="Advanced Real-to-real Transforms">
<link href="Advanced-Complex-DFTs.html" rel="prev" title="Advanced Complex DFTs">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.indentedblock {margin-right: 0em}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
kbd {font-style: oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
span.nolinebreak {white-space: nowrap}
span.roman {font-family: initial; font-weight: normal}
span.sansserif {font-family: sans-serif; font-weight: normal}
ul.no-bullet {list-style: none}
-->
</style>
</head>
<body lang="en">
<span id="Advanced-Real_002ddata-DFTs"></span><div class="header">
<p>
Next: <a href="Advanced-Real_002dto_002dreal-Transforms.html" accesskey="n" rel="next">Advanced Real-to-real Transforms</a>, Previous: <a href="Advanced-Complex-DFTs.html" accesskey="p" rel="prev">Advanced Complex DFTs</a>, Up: <a href="Advanced-Interface.html" accesskey="u" rel="up">Advanced Interface</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<span id="Advanced-Real_002ddata-DFTs-1"></span><h4 class="subsection">4.4.2 Advanced Real-data DFTs</h4>
<div class="example">
<pre class="example">fftw_plan fftw_plan_many_dft_r2c(int rank, const int *n, int howmany,
double *in, const int *inembed,
int istride, int idist,
fftw_complex *out, const int *onembed,
int ostride, int odist,
unsigned flags);
fftw_plan fftw_plan_many_dft_c2r(int rank, const int *n, int howmany,
fftw_complex *in, const int *inembed,
int istride, int idist,
double *out, const int *onembed,
int ostride, int odist,
unsigned flags);
</pre></div>
<span id="index-fftw_005fplan_005fmany_005fdft_005fr2c"></span>
<span id="index-fftw_005fplan_005fmany_005fdft_005fc2r"></span>
<p>Like <code>fftw_plan_many_dft</code>, these two functions add <code>howmany</code>,
<code>nembed</code>, <code>stride</code>, and <code>dist</code> parameters to the
<code>fftw_plan_dft_r2c</code> and <code>fftw_plan_dft_c2r</code> functions, but
otherwise behave the same as the basic interface.
</p>
<p>The interpretation of <code>howmany</code>, <code>stride</code>, and <code>dist</code> are
the same as for <code>fftw_plan_many_dft</code>, above. Note that the
<code>stride</code> and <code>dist</code> for the real array are in units of
<code>double</code>, and for the complex array are in units of
<code>fftw_complex</code>.
</p>
<p>If an <code>nembed</code> parameter is <code>NULL</code>, it is interpreted as what
it would be in the basic interface, as described in <a href="Real_002ddata-DFT-Array-Format.html">Real-data DFT Array Format</a>. That is, for the complex array the size is assumed to be
the same as <code>n</code>, but with the last dimension cut roughly in half.
For the real array, the size is assumed to be <code>n</code> if the transform
is out-of-place, or <code>n</code> with the last dimension &ldquo;padded&rdquo; if the
transform is in-place.
</p>
<p>If an <code>nembed</code> parameter is non-<code>NULL</code>, it is interpreted as
the physical size of the corresponding array, in row-major order, just
as for <code>fftw_plan_many_dft</code>. In this case, each dimension of
<code>nembed</code> should be <code>&gt;=</code> what it would be in the basic
interface (e.g. the halved or padded <code>n</code>).
</p>
<p>Arrays <code>n</code>, <code>inembed</code>, and <code>onembed</code> are not used after
this function returns. You can safely free or reuse them.
</p>
<hr>
<div class="header">
<p>
Next: <a href="Advanced-Real_002dto_002dreal-Transforms.html" accesskey="n" rel="next">Advanced Real-to-real Transforms</a>, Previous: <a href="Advanced-Complex-DFTs.html" accesskey="p" rel="prev">Advanced Complex DFTs</a>, Up: <a href="Advanced-Interface.html" accesskey="u" rel="up">Advanced Interface</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>