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diff Lib/fftw-3.2.1/doc/html/.svn/text-base/Complex-Multi_002dDimensional-DFTs.html.svn-base @ 15:585caf503ef5 tip
Tidy up for ROLI
| author | Geogaddi\David <d.m.ronan@qmul.ac.uk> |
|---|---|
| date | Tue, 17 May 2016 18:50:19 +0100 |
| parents | 636c989477e7 |
| children |
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--- a/Lib/fftw-3.2.1/doc/html/.svn/text-base/Complex-Multi_002dDimensional-DFTs.html.svn-base Wed May 04 11:02:59 2016 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ -<html lang="en"> -<head> -<title>Complex Multi-Dimensional DFTs - FFTW 3.2.1</title> -<meta http-equiv="Content-Type" content="text/html"> -<meta name="description" content="FFTW 3.2.1"> -<meta name="generator" content="makeinfo 4.8"> -<link title="Top" rel="start" href="index.html#Top"> -<link rel="up" href="Tutorial.html#Tutorial" title="Tutorial"> -<link rel="prev" href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs" title="Complex One-Dimensional DFTs"> -<link rel="next" href="One_002dDimensional-DFTs-of-Real-Data.html#One_002dDimensional-DFTs-of-Real-Data" title="One-Dimensional DFTs of Real Data"> -<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage"> -<!-- -This manual is for FFTW -(version 3.2.1, 5 February 2009). - -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. - --> -<meta http-equiv="Content-Style-Type" content="text/css"> -<style type="text/css"><!-- - pre.display { font-family:inherit } - pre.format { font-family:inherit } - pre.smalldisplay { font-family:inherit; font-size:smaller } - pre.smallformat { font-family:inherit; font-size:smaller } - pre.smallexample { font-size:smaller } - pre.smalllisp { font-size:smaller } - span.sc { font-variant:small-caps } - span.roman { font-family:serif; font-weight:normal; } - span.sansserif { font-family:sans-serif; font-weight:normal; } ---></style> -</head> -<body> -<div class="node"> -<p> -<a name="Complex-Multi-Dimensional-DFTs"></a> -<a name="Complex-Multi_002dDimensional-DFTs"></a> -Next: <a rel="next" accesskey="n" href="One_002dDimensional-DFTs-of-Real-Data.html#One_002dDimensional-DFTs-of-Real-Data">One-Dimensional DFTs of Real Data</a>, -Previous: <a rel="previous" accesskey="p" href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs">Complex One-Dimensional DFTs</a>, -Up: <a rel="up" accesskey="u" href="Tutorial.html#Tutorial">Tutorial</a> -<hr> -</div> - -<h3 class="section">2.2 Complex Multi-Dimensional DFTs</h3> - -<p>Multi-dimensional transforms work much the same way as one-dimensional -transforms: you allocate arrays of <code>fftw_complex</code> (preferably -using <code>fftw_malloc</code>), create an <code>fftw_plan</code>, execute it as -many times as you want with <code>fftw_execute(plan)</code>, and clean up -with <code>fftw_destroy_plan(plan)</code> (and <code>fftw_free</code>). The only -difference is the routine you use to create the plan: - -<pre class="example"> fftw_plan fftw_plan_dft_2d(int n0, int n1, - fftw_complex *in, fftw_complex *out, - int sign, unsigned flags); - fftw_plan fftw_plan_dft_3d(int n0, int n1, int n2, - fftw_complex *in, fftw_complex *out, - int sign, unsigned flags); - fftw_plan fftw_plan_dft(int rank, const int *n, - fftw_complex *in, fftw_complex *out, - int sign, unsigned flags); -</pre> - <p><a name="index-fftw_005fplan_005fdft_005f2d-38"></a><a name="index-fftw_005fplan_005fdft_005f3d-39"></a><a name="index-fftw_005fplan_005fdft-40"></a> -These routines create plans for <code>n0</code> by <code>n1</code> two-dimensional -(2d) transforms, <code>n0</code> by <code>n1</code> by <code>n2</code> 3d transforms, -and arbitrary <code>rank</code>-dimensional transforms, respectively. In the -<a name="index-rank-41"></a>third case, <code>n</code> is a pointer to an array <code>n[rank]</code> denoting -an <code>n[0]</code> by <code>n[1]</code> by <small class="dots">...</small> by <code>n[rank-1]</code> -transform. All of these transforms operate on contiguous arrays in -the C-standard <dfn>row-major</dfn> order, so that the last dimension has -the fastest-varying index in the array. This layout is described -further in <a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">Multi-dimensional Array Format</a>. - - <p>You may have noticed that all the planner routines described so far -have overlapping functionality. For example, you can plan a 1d or 2d -transform by using <code>fftw_plan_dft</code> with a <code>rank</code> of <code>1</code> -or <code>2</code>, or even by calling <code>fftw_plan_dft_3d</code> with <code>n0</code> -and/or <code>n1</code> equal to <code>1</code> (with no loss in efficiency). This -pattern continues, and FFTW's planning routines in general form a -“partial order,” sequences of -<a name="index-partial-order-42"></a>interfaces with strictly increasing generality but correspondingly -greater complexity. - - <p><code>fftw_plan_dft</code> is the most general complex-DFT routine that we -describe in this tutorial, but there are also the advanced and guru interfaces, -<a name="index-advanced-interface-43"></a><a name="index-guru-interface-44"></a>which allow one to efficiently combine multiple/strided transforms -into a single FFTW plan, transform a subset of a larger -multi-dimensional array, and/or to handle more general complex-number -formats. For more information, see <a href="FFTW-Reference.html#FFTW-Reference">FFTW Reference</a>. - -<!-- --> -</body></html> -