Chris@42: <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> Chris@42: <html> Chris@42: <!-- This manual is for FFTW Chris@42: (version 3.3.5, 30 July 2016). Chris@42: Chris@42: Copyright (C) 2003 Matteo Frigo. Chris@42: Chris@42: Copyright (C) 2003 Massachusetts Institute of Technology. Chris@42: Chris@42: Permission is granted to make and distribute verbatim copies of this Chris@42: manual provided the copyright notice and this permission notice are Chris@42: preserved on all copies. Chris@42: Chris@42: Permission is granted to copy and distribute modified versions of this Chris@42: manual under the conditions for verbatim copying, provided that the Chris@42: entire resulting derived work is distributed under the terms of a Chris@42: permission notice identical to this one. 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This isn’t too hard to do, although it is not as Chris@42: straightforward for multi-dimensional arrays as it is for Chris@42: one-dimensional arrays. Chris@42: </p> Chris@42: <p>Creating the array is simple: using a dynamic-allocation routine like Chris@42: <code>fftw_malloc</code>, allocate an array big enough to store N Chris@42: <code>fftw_complex</code> values (for a complex DFT), where N is the product Chris@42: of the sizes of the array dimensions (i.e. the total number of complex Chris@42: values in the array). For example, here is code to allocate a Chris@42: 5 × 12 × 27 rank-3 array: Chris@42: <a name="index-fftw_005fmalloc-2"></a> Chris@42: </p> Chris@42: <div class="example"> Chris@42: <pre class="example">fftw_complex *an_array; Chris@42: an_array = (fftw_complex*) fftw_malloc(5*12*27 * sizeof(fftw_complex)); Chris@42: </pre></div> Chris@42: Chris@42: <p>Accessing the array elements, however, is more tricky—you can’t Chris@42: simply use multiple applications of the ‘<samp>[]</samp>’ operator like you Chris@42: could for fixed-size arrays. Instead, you have to explicitly compute Chris@42: the offset into the array using the formula given earlier for Chris@42: row-major arrays. For example, to reference the <em>(i,j,k)</em>-th Chris@42: element of the array allocated above, you would use the expression Chris@42: <code>an_array[k + 27 * (j + 12 * i)]</code>. Chris@42: </p> Chris@42: <p>This pain can be alleviated somewhat by defining appropriate macros, Chris@42: or, in C++, creating a class and overloading the ‘<samp>()</samp>’ operator. Chris@42: The recent C99 standard provides a way to reinterpret the dynamic Chris@42: array as a “variable-length” multi-dimensional array amenable to Chris@42: ‘<samp>[]</samp>’, but this feature is not yet widely supported by compilers. Chris@42: <a name="index-C99"></a> Chris@42: <a name="index-C_002b_002b-2"></a> Chris@42: </p> Chris@42: Chris@42: Chris@42: Chris@42: </body> Chris@42: </html>