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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>Column-major Format - 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 title="Top" rel="start" href="index.html#Top">
+<link rel="up" href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format" title="Multi-dimensional Array Format">
+<link rel="prev" href="Row_002dmajor-Format.html#Row_002dmajor-Format" title="Row-major Format">
+<link rel="next" href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C" title="Fixed-size Arrays in C">
+<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.
+
+     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.
+   -->
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+</head>
+<body>
+<div class="node">
+<a name="Column-major-Format"></a>
+<a name="Column_002dmajor-Format"></a>
+<p>
+Next:&nbsp;<a rel="next" accesskey="n" href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C">Fixed-size Arrays in C</a>,
+Previous:&nbsp;<a rel="previous" accesskey="p" href="Row_002dmajor-Format.html#Row_002dmajor-Format">Row-major Format</a>,
+Up:&nbsp;<a rel="up" accesskey="u" href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">Multi-dimensional Array Format</a>
+<hr>
+</div>
+
+<h4 class="subsection">3.2.2 Column-major Format</h4>
+
+<p><a name="index-column_002dmajor-118"></a>
+Readers from the Fortran world are used to arrays stored in
+<dfn>column-major</dfn> order (sometimes called &ldquo;Fortran order&rdquo;).  This is
+essentially the exact opposite of row-major order in that, here, the
+<em>first</em> dimension's index varies most quickly.
+
+   <p>If you have an array stored in column-major order and wish to
+transform it using FFTW, it is quite easy to do.  When creating the
+plan, simply pass the dimensions of the array to the planner in
+<em>reverse order</em>.  For example, if your array is a rank three
+<code>N x M x L</code> matrix in column-major order, you should pass the
+dimensions of the array as if it were an <code>L x M x N</code> matrix
+(which it is, from the perspective of FFTW).  This is done for you
+<em>automatically</em> by the FFTW legacy-Fortran interface
+(see <a href="Calling-FFTW-from-Legacy-Fortran.html#Calling-FFTW-from-Legacy-Fortran">Calling FFTW from Legacy Fortran</a>), but you must do it
+manually with the modern Fortran interface (see <a href="Reversing-array-dimensions.html#Reversing-array-dimensions">Reversing array dimensions</a>). 
+<a name="index-Fortran-interface-119"></a>
+<!-- =========> -->
+
+   </body></html>
+