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			227 lines
		
	
	
		
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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>FFTW MPI Fortran Interface (FFTW 3.3.10)</title>
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								<link href="Concept-Index.html" rel="index" title="Concept Index">
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								<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
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								<link href="Distributed_002dmemory-FFTW-with-MPI.html" rel="up" title="Distributed-memory FFTW with MPI">
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								<link href="Calling-FFTW-from-Modern-Fortran.html" rel="next" title="Calling FFTW from Modern Fortran">
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								<span id="FFTW-MPI-Fortran-Interface"></span><div class="header">
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								<p>
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								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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								</div>
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								<hr>
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								<span id="FFTW-MPI-Fortran-Interface-1"></span><h3 class="section">6.13 FFTW MPI Fortran Interface</h3>
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								<span id="index-Fortran-interface-1"></span>
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								<span id="index-iso_005fc_005fbinding"></span>
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								<p>The FFTW MPI interface is callable from modern Fortran compilers
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								supporting the Fortran 2003 <code>iso_c_binding</code> standard for calling
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								C functions.  As described in <a href="Calling-FFTW-from-Modern-Fortran.html">Calling FFTW from Modern Fortran</a>,
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								this means that you can directly call FFTW’s C interface from Fortran
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								with only minor changes in syntax.  There are, however, a few things
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								specific to the MPI interface to keep in mind:
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								</p>
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								<ul>
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								<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
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								<code>use, intrinsic :: iso_c_binding</code> as before).  The
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								<code>fftw3-mpi.f03</code> file includes <code>fftw3.f03</code>, so you should
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								<em>not</em> <code>include</code> them both yourself.  (You will also want to
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								include the MPI header file, usually via <code>include 'mpif.h'</code> or
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								similar, although though this is not needed by <code>fftw3-mpi.f03</code>
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								<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>.)
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								</li><li> Because of the different storage conventions between C and Fortran,
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								you reverse the order of your array dimensions when passing them to
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								FFTW (see <a href="Reversing-array-dimensions.html">Reversing array dimensions</a>).  This is merely a
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								difference in notation and incurs no performance overhead.  However,
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								it means that, whereas in C the <em>first</em> dimension is distributed,
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								in Fortran the <em>last</em> dimension of your array is distributed.
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								</li><li> <span id="index-MPI-communicator-3"></span>
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								In Fortran, communicators are stored as <code>integer</code> types; there is
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								no <code>MPI_Comm</code> type, nor is there any way to access a C
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								<code>MPI_Comm</code>.  Fortunately, this is taken care of for you by the
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								FFTW Fortran interface: whenever the C interface expects an
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								<code>MPI_Comm</code> type, you should pass the Fortran communicator as an
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								<code>integer</code>.<a id="DOCF8" href="#FOOT8"><sup>8</sup></a>
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								</li><li> Because you need to call the ‘<samp>local_size</samp>’ function to find out
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								how much space to allocate, and this may be <em>larger</em> than the
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								local portion of the array (see <a href="MPI-Data-Distribution.html">MPI Data Distribution</a>), you should
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								<em>always</em> allocate your arrays dynamically using FFTW’s allocation
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								routines as described in <a href="Allocating-aligned-memory-in-Fortran.html">Allocating aligned memory in Fortran</a>.
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								(Coincidentally, this also provides the best performance by
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								guaranteeding proper data alignment.)
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								</li><li> Because all sizes in the MPI FFTW interface are declared as
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								<code>ptrdiff_t</code> in C, you should use <code>integer(C_INTPTR_T)</code> in
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								Fortran (see <a href="FFTW-Fortran-type-reference.html">FFTW Fortran type reference</a>).
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								</li><li> <span id="index-fftw_005fexecute_005fdft-1"></span>
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								<span id="index-fftw_005fmpi_005fexecute_005fdft-1"></span>
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								<span id="index-new_002darray-execution-3"></span>
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								In Fortran, because of the language semantics, we generally recommend
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								using the new-array execute functions for all plans, even in the
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								common case where you are executing the plan on the same arrays for
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								which the plan was created (see <a href="Plan-execution-in-Fortran.html">Plan execution in Fortran</a>).
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								However, note that in the MPI interface these functions are changed:
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								<code>fftw_execute_dft</code> becomes <code>fftw_mpi_execute_dft</code>,
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								etcetera. See <a href="Using-MPI-Plans.html">Using MPI Plans</a>.
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								</li></ul>
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								<p>For example, here is a Fortran code snippet to perform a distributed
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								L × M
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								 complex DFT in-place.  (This assumes you have already
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								initialized MPI with <code>MPI_init</code> and have also performed
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								<code>call fftw_mpi_init</code>.)
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								</p>
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								<div class="example">
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								<pre class="example">  use, intrinsic :: iso_c_binding
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								  include 'fftw3-mpi.f03'
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								  integer(C_INTPTR_T), parameter :: L = ...
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								  integer(C_INTPTR_T), parameter :: M = ...
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								  type(C_PTR) :: plan, cdata
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								  complex(C_DOUBLE_COMPLEX), pointer :: data(:,:)
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								  integer(C_INTPTR_T) :: i, j, alloc_local, local_M, local_j_offset
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								!   <span class="roman">get local data size and allocate (note dimension reversal)</span>
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								  alloc_local = fftw_mpi_local_size_2d(M, L, MPI_COMM_WORLD, &
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								                                       local_M, local_j_offset)
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								  cdata = fftw_alloc_complex(alloc_local)
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								  call c_f_pointer(cdata, data, [L,local_M])
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								!   <span class="roman">create MPI plan for in-place forward DFT (note dimension reversal)</span>
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								  plan = fftw_mpi_plan_dft_2d(M, L, data, data, MPI_COMM_WORLD, &
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								                              FFTW_FORWARD, FFTW_MEASURE)
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								! <span class="roman">initialize data to some function</span> my_function(i,j)
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								  do j = 1, local_M
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								    do i = 1, L
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								      data(i, j) = my_function(i, j + local_j_offset)
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								    end do
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								  end do
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								! <span class="roman">compute transform (as many times as desired)</span>
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								  call fftw_mpi_execute_dft(plan, data, data)
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								  call fftw_destroy_plan(plan)
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								  call fftw_free(cdata)
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								</pre></div>
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								<p>Note that when we called <code>fftw_mpi_local_size_2d</code> and
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								<code>fftw_mpi_plan_dft_2d</code> with the dimensions in reversed order,
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								since a L × M
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								 Fortran array is viewed by FFTW in C as a
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								M × L
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								 array.  This means that the array was distributed over
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								the <code>M</code> dimension, the local portion of which is a
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								L × local_M
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								 array in Fortran.  (You must <em>not</em> use an
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								<code>allocate</code> statement to allocate an L × local_M
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								 array,
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								however; you must allocate <code>alloc_local</code> complex numbers, which
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								may be greater than <code>L * local_M</code>, in order to reserve space for
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								intermediate steps of the transform.)  Finally, we mention that
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								because C’s array indices are zero-based, the <code>local_j_offset</code>
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								argument can conveniently be interpreted as an offset in the 1-based
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								<code>j</code> index (rather than as a starting index as in C).
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								</p>
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								<p>If instead you had used the <code>ior(FFTW_MEASURE,
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								FFTW_MPI_TRANSPOSED_OUT)</code> flag, the output of the transform would be a
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								transposed M × local_L
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								 array, associated with the <em>same</em>
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								<code>cdata</code> allocation (since the transform is in-place), and which
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								you could declare with:
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								</p>
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								<div class="example">
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								<pre class="example">  complex(C_DOUBLE_COMPLEX), pointer :: tdata(:,:)
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								  ...
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								  call c_f_pointer(cdata, tdata, [M,local_L])
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								</pre></div>
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								<p>where <code>local_L</code> would have been obtained by changing the
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								<code>fftw_mpi_local_size_2d</code> call to:
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								</p>
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								<div class="example">
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								<pre class="example">  alloc_local = fftw_mpi_local_size_2d_transposed(M, L, MPI_COMM_WORLD, &
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								                           local_M, local_j_offset, local_L, local_i_offset)
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								</pre></div>
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								<div class="footnote">
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								<hr>
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								<h4 class="footnotes-heading">Footnotes</h4>
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								<h5><a id="FOOT8" href="#DOCF8">(8)</a></h3>
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								<p>Technically, this is because you aren’t
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								actually calling the C functions directly. You are calling wrapper
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								functions that translate the communicator with <code>MPI_Comm_f2c</code>
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								before calling the ordinary C interface.  This is all done
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								transparently, however, since the <code>fftw3-mpi.f03</code> interface file
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								renames the wrappers so that they are called in Fortran with the same
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								names as the C interface functions.</p>
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