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|  | <!-- This manual is for FFTW
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|  | (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>Allocating aligned memory in Fortran (FFTW 3.3.10)</title> | ||
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|  | <span id="Allocating-aligned-memory-in-Fortran"></span><div class="header"> | ||
|  | <p> | ||
|  | Next: <a href="Accessing-the-wisdom-API-from-Fortran.html" accesskey="n" rel="next">Accessing the wisdom API from Fortran</a>, Previous: <a href="Plan-execution-in-Fortran.html" accesskey="p" rel="prev">Plan execution in Fortran</a>, Up: <a href="Calling-FFTW-from-Modern-Fortran.html" accesskey="u" rel="up">Calling FFTW from Modern Fortran</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> | ||
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|  | <span id="Allocating-aligned-memory-in-Fortran-1"></span><h3 class="section">7.5 Allocating aligned memory in Fortran</h3> | ||
|  | 
 | ||
|  | <span id="index-alignment-5"></span> | ||
|  | <span id="index-fftw_005falloc_005freal-5"></span> | ||
|  | <span id="index-fftw_005falloc_005fcomplex-5"></span> | ||
|  | <p>In order to obtain maximum performance in FFTW, you should store your | ||
|  | data in arrays that have been specially aligned in memory (see <a href="SIMD-alignment-and-fftw_005fmalloc.html">SIMD alignment and fftw_malloc</a>).  Enforcing alignment also permits you to | ||
|  | safely use the new-array execute functions (see <a href="New_002darray-Execute-Functions.html">New-array Execute Functions</a>) to apply a given plan to more than one pair of in/out | ||
|  | arrays.  Unfortunately, standard Fortran arrays do <em>not</em> provide | ||
|  | any alignment guarantees.  The <em>only</em> way to allocate aligned | ||
|  | memory in standard Fortran is to allocate it with an external C | ||
|  | function, like the <code>fftw_alloc_real</code> and | ||
|  | <code>fftw_alloc_complex</code> functions.  Fortunately, Fortran 2003 provides | ||
|  | a simple way to associate such allocated memory with a standard Fortran | ||
|  | array pointer that you can then use normally. | ||
|  | </p> | ||
|  | <p>We therefore recommend allocating all your input/output arrays using | ||
|  | the following technique: | ||
|  | </p> | ||
|  | <ol> | ||
|  | <li> Declare a <code>pointer</code>, <code>arr</code>, to your array of the desired type | ||
|  | and dimensions.  For example, <code>real(C_DOUBLE), pointer :: a(:,:)</code> | ||
|  | for a 2d real array, or <code>complex(C_DOUBLE_COMPLEX), pointer :: | ||
|  | a(:,:,:)</code> for a 3d complex array. | ||
|  | 
 | ||
|  | </li><li> The number of elements to allocate must be an | ||
|  | <code>integer(C_SIZE_T)</code>.  You can either declare a variable of this | ||
|  | type, e.g. <code>integer(C_SIZE_T) :: sz</code>, to store the number of | ||
|  | elements to allocate, or you can use the <code>int(..., C_SIZE_T)</code> | ||
|  | intrinsic function. e.g. set <code>sz = L * M * N</code> or use | ||
|  | <code>int(L * M * N, C_SIZE_T)</code> for an L × M × N | ||
|  |  array. | ||
|  | 
 | ||
|  | </li><li> Declare a <code>type(C_PTR) :: p</code> to hold the return value from | ||
|  | FFTW’s allocation routine.  Set <code>p = fftw_alloc_real(sz)</code> for a real array, or <code>p = fftw_alloc_complex(sz)</code> for a complex array. | ||
|  | 
 | ||
|  | </li><li> <span id="index-c_005ff_005fpointer-2"></span> | ||
|  | Associate your pointer <code>arr</code> with the allocated memory <code>p</code> | ||
|  | using the standard <code>c_f_pointer</code> subroutine: <code>call | ||
|  | c_f_pointer(p, arr, [...dimensions...])</code>, where | ||
|  | <code>[...dimensions...])</code> are an array of the dimensions of the array | ||
|  | (in the usual Fortran order). e.g. <code>call c_f_pointer(p, arr, | ||
|  | [L,M,N])</code> for an L × M × N | ||
|  |  array.  (Alternatively, you can | ||
|  | omit the dimensions argument if you specified the shape explicitly | ||
|  | when declaring <code>arr</code>.)  You can now use <code>arr</code> as a usual | ||
|  | multidimensional array. | ||
|  | 
 | ||
|  | </li><li> When you are done using the array, deallocate the memory by <code>call | ||
|  | fftw_free(p)</code> on <code>p</code>. | ||
|  | 
 | ||
|  | </li></ol> | ||
|  | 
 | ||
|  | <p>For example, here is how we would allocate an L × M | ||
|  |  2d real array: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">  real(C_DOUBLE), pointer :: arr(:,:) | ||
|  |   type(C_PTR) :: p | ||
|  |   p = fftw_alloc_real(int(L * M, C_SIZE_T)) | ||
|  |   call c_f_pointer(p, arr, [L,M]) | ||
|  |   <em>...use arr and arr(i,j) as usual...</em> | ||
|  |   call fftw_free(p) | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>and here is an L × M × N | ||
|  |  3d complex array: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">  complex(C_DOUBLE_COMPLEX), pointer :: arr(:,:,:) | ||
|  |   type(C_PTR) :: p | ||
|  |   p = fftw_alloc_complex(int(L * M * N, C_SIZE_T)) | ||
|  |   call c_f_pointer(p, arr, [L,M,N]) | ||
|  |   <em>...use arr and arr(i,j,k) as usual...</em> | ||
|  |   call fftw_free(p) | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>See <a href="Reversing-array-dimensions.html">Reversing array dimensions</a> for an example allocating a | ||
|  | single array and associating both real and complex array pointers with | ||
|  | it, for in-place real-to-complex transforms. | ||
|  | </p> | ||
|  | <hr> | ||
|  | <div class="header"> | ||
|  | <p> | ||
|  | Next: <a href="Accessing-the-wisdom-API-from-Fortran.html" accesskey="n" rel="next">Accessing the wisdom API from Fortran</a>, Previous: <a href="Plan-execution-in-Fortran.html" accesskey="p" rel="prev">Plan execution in Fortran</a>, Up: <a href="Calling-FFTW-from-Modern-Fortran.html" accesskey="u" rel="up">Calling FFTW from Modern Fortran</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> | ||
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