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Chris@42: <a name="Dynamic-Arrays-in-C-1"></a>
Chris@42: <h4 class="subsection">3.2.4 Dynamic Arrays in C</h4>
Chris@42: 
Chris@42: <p>We recommend allocating most arrays dynamically, with
Chris@42: <code>fftw_malloc</code>.  This isn&rsquo;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&nbsp;&times;&nbsp;12&nbsp;&times;&nbsp;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&mdash;you can&rsquo;t
Chris@42: simply use multiple applications of the &lsquo;<samp>[]</samp>&rsquo; 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 &lsquo;<samp>()</samp>&rsquo; operator.
Chris@42: The recent C99 standard provides a way to reinterpret the dynamic
Chris@42: array as a &ldquo;variable-length&rdquo; multi-dimensional array amenable to
Chris@42: &lsquo;<samp>[]</samp>&rsquo;, 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>
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