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			149 lines
		
	
	
		
			7 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). | ||
|  | 
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|  | Copyright (C) 2003 Matteo Frigo. | ||
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|  | Copyright (C) 2003 Massachusetts Institute of Technology. | ||
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|  | <title>Guru Real-data DFTs (FFTW 3.3.10)</title> | ||
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|  | <span id="Guru-Real_002ddata-DFTs"></span><div class="header"> | ||
|  | <p> | ||
|  | Next: <a href="Guru-Real_002dto_002dreal-Transforms.html" accesskey="n" rel="next">Guru Real-to-real Transforms</a>, Previous: <a href="Guru-Complex-DFTs.html" accesskey="p" rel="prev">Guru Complex DFTs</a>, Up: <a href="Guru-Interface.html" accesskey="u" rel="up">Guru Interface</a>   [<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="Guru-Real_002ddata-DFTs-1"></span><h4 class="subsection">4.5.4 Guru Real-data DFTs</h4> | ||
|  | 
 | ||
|  | <div class="example"> | ||
|  | <pre class="example">fftw_plan fftw_plan_guru_dft_r2c( | ||
|  |      int rank, const fftw_iodim *dims, | ||
|  |      int howmany_rank, const fftw_iodim *howmany_dims, | ||
|  |      double *in, fftw_complex *out, | ||
|  |      unsigned flags); | ||
|  | 
 | ||
|  | fftw_plan fftw_plan_guru_split_dft_r2c( | ||
|  |      int rank, const fftw_iodim *dims, | ||
|  |      int howmany_rank, const fftw_iodim *howmany_dims, | ||
|  |      double *in, double *ro, double *io, | ||
|  |      unsigned flags); | ||
|  | 
 | ||
|  | fftw_plan fftw_plan_guru_dft_c2r( | ||
|  |      int rank, const fftw_iodim *dims, | ||
|  |      int howmany_rank, const fftw_iodim *howmany_dims, | ||
|  |      fftw_complex *in, double *out, | ||
|  |      unsigned flags); | ||
|  | 
 | ||
|  | fftw_plan fftw_plan_guru_split_dft_c2r( | ||
|  |      int rank, const fftw_iodim *dims, | ||
|  |      int howmany_rank, const fftw_iodim *howmany_dims, | ||
|  |      double *ri, double *ii, double *out, | ||
|  |      unsigned flags); | ||
|  | </pre></div> | ||
|  | <span id="index-fftw_005fplan_005fguru_005fdft_005fr2c"></span> | ||
|  | <span id="index-fftw_005fplan_005fguru_005fsplit_005fdft_005fr2c"></span> | ||
|  | <span id="index-fftw_005fplan_005fguru_005fdft_005fc2r"></span> | ||
|  | <span id="index-fftw_005fplan_005fguru_005fsplit_005fdft_005fc2r"></span> | ||
|  | 
 | ||
|  | <p>Plan a real-input (r2c) or real-output (c2r), multi-dimensional DFT with | ||
|  | transform dimensions given by (<code>rank</code>, <code>dims</code>) over a | ||
|  | multi-dimensional vector (loop) of dimensions (<code>howmany_rank</code>, | ||
|  | <code>howmany_dims</code>).  <code>dims</code> and <code>howmany_dims</code> should point | ||
|  | to <code>fftw_iodim</code> arrays of length <code>rank</code> and | ||
|  | <code>howmany_rank</code>, respectively.  As for the basic and advanced | ||
|  | interfaces, an r2c transform is <code>FFTW_FORWARD</code> and a c2r transform | ||
|  | is <code>FFTW_BACKWARD</code>. | ||
|  | </p> | ||
|  | <p>The <em>last</em> dimension of <code>dims</code> is interpreted specially: | ||
|  | that dimension of the real array has size <code>dims[rank-1].n</code>, but | ||
|  | that dimension of the complex array has size <code>dims[rank-1].n/2+1</code> | ||
|  | (division rounded down).  The strides, on the other hand, are taken to | ||
|  | be exactly as specified.  It is up to the user to specify the strides | ||
|  | appropriately for the peculiar dimensions of the data, and we do not | ||
|  | guarantee that the planner will succeed (return non-<code>NULL</code>) for | ||
|  | any dimensions other than those described in <a href="Real_002ddata-DFT-Array-Format.html">Real-data DFT Array Format</a> and generalized in <a href="Advanced-Real_002ddata-DFTs.html">Advanced Real-data DFTs</a>.  (That is, | ||
|  | for an in-place transform, each individual dimension should be able to | ||
|  | operate in place.) | ||
|  | <span id="index-in_002dplace-6"></span> | ||
|  | </p> | ||
|  | 
 | ||
|  | <p><code>in</code> and <code>out</code> point to the input and output arrays for r2c | ||
|  | and c2r transforms, respectively.  For split arrays, <code>ri</code> and | ||
|  | <code>ii</code> point to the real and imaginary input arrays for a c2r | ||
|  | transform, and <code>ro</code> and <code>io</code> point to the real and imaginary | ||
|  | output arrays for an r2c transform.  <code>in</code> and <code>ro</code> or | ||
|  | <code>ri</code> and <code>out</code> may be the same, indicating an in-place | ||
|  | transform.   (In-place transforms where <code>in</code> and <code>io</code> or | ||
|  | <code>ii</code> and <code>out</code> are the same are not currently supported.) | ||
|  | </p> | ||
|  | <span id="index-flags-6"></span> | ||
|  | <p><code>flags</code> is a bitwise OR (‘<samp>|</samp>’) of zero or more planner flags, | ||
|  | as defined in <a href="Planner-Flags.html">Planner Flags</a>. | ||
|  | </p> | ||
|  | <p>In-place transforms of rank greater than 1 are currently only | ||
|  | supported for interleaved arrays.  For split arrays, the planner will | ||
|  | return <code>NULL</code>. | ||
|  | <span id="index-in_002dplace-7"></span> | ||
|  | </p> | ||
|  | <hr> | ||
|  | <div class="header"> | ||
|  | <p> | ||
|  | Next: <a href="Guru-Real_002dto_002dreal-Transforms.html" accesskey="n" rel="next">Guru Real-to-real Transforms</a>, Previous: <a href="Guru-Complex-DFTs.html" accesskey="p" rel="prev">Guru Complex DFTs</a>, Up: <a href="Guru-Interface.html" accesskey="u" rel="up">Guru Interface</a>   [<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> | ||
|  | 
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