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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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|  | <span id="FFTW-MPI-Fortran-Interface"></span><div class="header"> | ||
|  | <p> | ||
|  | Previous: <a href="FFTW-MPI-Reference.html" accesskey="p" rel="prev">FFTW MPI Reference</a>, Up: <a href="Distributed_002dmemory-FFTW-with-MPI.html" accesskey="u" rel="up">Distributed-memory FFTW with MPI</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> | ||
|  | </div> | ||
|  | <hr> | ||
|  | <span id="FFTW-MPI-Fortran-Interface-1"></span><h3 class="section">6.13 FFTW MPI Fortran Interface</h3> | ||
|  | <span id="index-Fortran-interface-1"></span> | ||
|  | 
 | ||
|  | <span id="index-iso_005fc_005fbinding"></span> | ||
|  | <p>The FFTW MPI interface is callable from modern Fortran compilers | ||
|  | supporting the Fortran 2003 <code>iso_c_binding</code> standard for calling | ||
|  | C functions.  As described in <a href="Calling-FFTW-from-Modern-Fortran.html">Calling FFTW from Modern Fortran</a>, | ||
|  | this means that you can directly call FFTW’s C interface from Fortran | ||
|  | with only minor changes in syntax.  There are, however, a few things | ||
|  | specific to the MPI interface to keep in mind: | ||
|  | </p> | ||
|  | <ul> | ||
|  | <li> Instead of including <code>fftw3.f03</code> as in <a href="Overview-of-Fortran-interface.html">Overview of Fortran interface</a>, you should <code>include 'fftw3-mpi.f03'</code> (after | ||
|  | <code>use, intrinsic :: iso_c_binding</code> as before).  The | ||
|  | <code>fftw3-mpi.f03</code> file includes <code>fftw3.f03</code>, so you should | ||
|  | <em>not</em> <code>include</code> them both yourself.  (You will also want to | ||
|  | include the MPI header file, usually via <code>include 'mpif.h'</code> or | ||
|  | similar, although though this is not needed by <code>fftw3-mpi.f03</code> | ||
|  | <i>per se</i>.)  (To use the ‘<samp>fftwl_</samp>’ <code>long double</code> extended-precision routines in supporting compilers, you should include <code>fftw3f-mpi.f03</code> in <em>addition</em> to <code>fftw3-mpi.f03</code>. See <a href="Extended-and-quadruple-precision-in-Fortran.html">Extended and quadruple precision in Fortran</a>.) | ||
|  | 
 | ||
|  | </li><li> Because of the different storage conventions between C and Fortran, | ||
|  | you reverse the order of your array dimensions when passing them to | ||
|  | FFTW (see <a href="Reversing-array-dimensions.html">Reversing array dimensions</a>).  This is merely a | ||
|  | difference in notation and incurs no performance overhead.  However, | ||
|  | it means that, whereas in C the <em>first</em> dimension is distributed, | ||
|  | in Fortran the <em>last</em> dimension of your array is distributed. | ||
|  | 
 | ||
|  | </li><li> <span id="index-MPI-communicator-3"></span> | ||
|  | In Fortran, communicators are stored as <code>integer</code> types; there is | ||
|  | no <code>MPI_Comm</code> type, nor is there any way to access a C | ||
|  | <code>MPI_Comm</code>.  Fortunately, this is taken care of for you by the | ||
|  | FFTW Fortran interface: whenever the C interface expects an | ||
|  | <code>MPI_Comm</code> type, you should pass the Fortran communicator as an | ||
|  | <code>integer</code>.<a id="DOCF8" href="#FOOT8"><sup>8</sup></a> | ||
|  | 
 | ||
|  | </li><li> Because you need to call the ‘<samp>local_size</samp>’ function to find out | ||
|  | how much space to allocate, and this may be <em>larger</em> than the | ||
|  | local portion of the array (see <a href="MPI-Data-Distribution.html">MPI Data Distribution</a>), you should | ||
|  | <em>always</em> allocate your arrays dynamically using FFTW’s allocation | ||
|  | routines as described in <a href="Allocating-aligned-memory-in-Fortran.html">Allocating aligned memory in Fortran</a>. | ||
|  | (Coincidentally, this also provides the best performance by | ||
|  | guaranteeding proper data alignment.) | ||
|  | 
 | ||
|  | </li><li> Because all sizes in the MPI FFTW interface are declared as | ||
|  | <code>ptrdiff_t</code> in C, you should use <code>integer(C_INTPTR_T)</code> in | ||
|  | Fortran (see <a href="FFTW-Fortran-type-reference.html">FFTW Fortran type reference</a>). | ||
|  | 
 | ||
|  | </li><li> <span id="index-fftw_005fexecute_005fdft-1"></span> | ||
|  | <span id="index-fftw_005fmpi_005fexecute_005fdft-1"></span> | ||
|  | <span id="index-new_002darray-execution-3"></span> | ||
|  | In Fortran, because of the language semantics, we generally recommend | ||
|  | using the new-array execute functions for all plans, even in the | ||
|  | common case where you are executing the plan on the same arrays for | ||
|  | which the plan was created (see <a href="Plan-execution-in-Fortran.html">Plan execution in Fortran</a>). | ||
|  | However, note that in the MPI interface these functions are changed: | ||
|  | <code>fftw_execute_dft</code> becomes <code>fftw_mpi_execute_dft</code>, | ||
|  | etcetera. See <a href="Using-MPI-Plans.html">Using MPI Plans</a>. | ||
|  | 
 | ||
|  | </li></ul> | ||
|  | 
 | ||
|  | <p>For example, here is a Fortran code snippet to perform a distributed | ||
|  | L × M | ||
|  |  complex DFT in-place.  (This assumes you have already | ||
|  | initialized MPI with <code>MPI_init</code> and have also performed | ||
|  | <code>call fftw_mpi_init</code>.) | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">  use, intrinsic :: iso_c_binding | ||
|  |   include 'fftw3-mpi.f03' | ||
|  |   integer(C_INTPTR_T), parameter :: L = ... | ||
|  |   integer(C_INTPTR_T), parameter :: M = ... | ||
|  |   type(C_PTR) :: plan, cdata | ||
|  |   complex(C_DOUBLE_COMPLEX), pointer :: data(:,:) | ||
|  |   integer(C_INTPTR_T) :: i, j, alloc_local, local_M, local_j_offset | ||
|  | 
 | ||
|  | !   <span class="roman">get local data size and allocate (note dimension reversal)</span> | ||
|  |   alloc_local = fftw_mpi_local_size_2d(M, L, MPI_COMM_WORLD, & | ||
|  |                                        local_M, local_j_offset) | ||
|  |   cdata = fftw_alloc_complex(alloc_local) | ||
|  |   call c_f_pointer(cdata, data, [L,local_M]) | ||
|  | 
 | ||
|  | !   <span class="roman">create MPI plan for in-place forward DFT (note dimension reversal)</span> | ||
|  |   plan = fftw_mpi_plan_dft_2d(M, L, data, data, MPI_COMM_WORLD, & | ||
|  |                               FFTW_FORWARD, FFTW_MEASURE) | ||
|  | 
 | ||
|  | ! <span class="roman">initialize data to some function</span> my_function(i,j) | ||
|  |   do j = 1, local_M | ||
|  |     do i = 1, L | ||
|  |       data(i, j) = my_function(i, j + local_j_offset) | ||
|  |     end do | ||
|  |   end do | ||
|  | 
 | ||
|  | ! <span class="roman">compute transform (as many times as desired)</span> | ||
|  |   call fftw_mpi_execute_dft(plan, data, data) | ||
|  | 
 | ||
|  |   call fftw_destroy_plan(plan) | ||
|  |   call fftw_free(cdata) | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>Note that when we called <code>fftw_mpi_local_size_2d</code> and | ||
|  | <code>fftw_mpi_plan_dft_2d</code> with the dimensions in reversed order, | ||
|  | since a L × M | ||
|  |  Fortran array is viewed by FFTW in C as a | ||
|  | M × L | ||
|  |  array.  This means that the array was distributed over | ||
|  | the <code>M</code> dimension, the local portion of which is a | ||
|  | L × local_M | ||
|  |  array in Fortran.  (You must <em>not</em> use an | ||
|  | <code>allocate</code> statement to allocate an L × local_M | ||
|  |  array, | ||
|  | however; you must allocate <code>alloc_local</code> complex numbers, which | ||
|  | may be greater than <code>L * local_M</code>, in order to reserve space for | ||
|  | intermediate steps of the transform.)  Finally, we mention that | ||
|  | because C’s array indices are zero-based, the <code>local_j_offset</code> | ||
|  | argument can conveniently be interpreted as an offset in the 1-based | ||
|  | <code>j</code> index (rather than as a starting index as in C). | ||
|  | </p> | ||
|  | <p>If instead you had used the <code>ior(FFTW_MEASURE, | ||
|  | FFTW_MPI_TRANSPOSED_OUT)</code> flag, the output of the transform would be a | ||
|  | transposed M × local_L | ||
|  |  array, associated with the <em>same</em> | ||
|  | <code>cdata</code> allocation (since the transform is in-place), and which | ||
|  | you could declare with: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">  complex(C_DOUBLE_COMPLEX), pointer :: tdata(:,:) | ||
|  |   ... | ||
|  |   call c_f_pointer(cdata, tdata, [M,local_L]) | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>where <code>local_L</code> would have been obtained by changing the | ||
|  | <code>fftw_mpi_local_size_2d</code> call to: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">  alloc_local = fftw_mpi_local_size_2d_transposed(M, L, MPI_COMM_WORLD, & | ||
|  |                            local_M, local_j_offset, local_L, local_i_offset) | ||
|  | </pre></div> | ||
|  | <div class="footnote"> | ||
|  | <hr> | ||
|  | <h4 class="footnotes-heading">Footnotes</h4> | ||
|  | 
 | ||
|  | <h5><a id="FOOT8" href="#DOCF8">(8)</a></h3> | ||
|  | <p>Technically, this is because you aren’t | ||
|  | actually calling the C functions directly. You are calling wrapper | ||
|  | functions that translate the communicator with <code>MPI_Comm_f2c</code> | ||
|  | before calling the ordinary C interface.  This is all done | ||
|  | transparently, however, since the <code>fftw3-mpi.f03</code> interface file | ||
|  | renames the wrappers so that they are called in Fortran with the same | ||
|  | names as the C interface functions.</p> | ||
|  | </div> | ||
|  | <hr> | ||
|  | <div class="header"> | ||
|  | <p> | ||
|  | Previous: <a href="FFTW-MPI-Reference.html" accesskey="p" rel="prev">FFTW MPI Reference</a>, Up: <a href="Distributed_002dmemory-FFTW-with-MPI.html" accesskey="u" rel="up">Distributed-memory FFTW with MPI</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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