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Add FFTW3
author Chris Cannam
date Wed, 20 Mar 2013 15:35:50 +0000
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+<html lang="en">
+<head>
+<title>Advanced Real-data DFTs - FFTW 3.3.3</title>
+<meta http-equiv="Content-Type" content="text/html">
+<meta name="description" content="FFTW 3.3.3">
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+<link rel="up" href="Advanced-Interface.html#Advanced-Interface" title="Advanced Interface">
+<link rel="prev" href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs" title="Advanced Complex DFTs">
+<link rel="next" href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms" title="Advanced Real-to-real Transforms">
+<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
+<!--
+This manual is for FFTW
+(version 3.3.3, 25 November 2012).
+
+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.
+
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+     manual into another language, under the above conditions for
+     modified versions, except that this permission notice may be
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+</head>
+<body>
+<div class="node">
+<a name="Advanced-Real-data-DFTs"></a>
+<a name="Advanced-Real_002ddata-DFTs"></a>
+<p>
+Next:&nbsp;<a rel="next" accesskey="n" href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms">Advanced Real-to-real Transforms</a>,
+Previous:&nbsp;<a rel="previous" accesskey="p" href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">Advanced Complex DFTs</a>,
+Up:&nbsp;<a rel="up" accesskey="u" href="Advanced-Interface.html#Advanced-Interface">Advanced Interface</a>
+<hr>
+</div>
+
+<h4 class="subsection">4.4.2 Advanced Real-data DFTs</h4>
+
+<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>
+   <p><a name="index-fftw_005fplan_005fmany_005fdft_005fr2c-236"></a><a name="index-fftw_005fplan_005fmany_005fdft_005fc2r-237"></a>
+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>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>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_002ddata-DFT-Array-Format">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>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>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.
+
+<!-- =========> -->
+   </body></html>
+