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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>An improved replacement for MPI_Alltoall (FFTW 3.3.10)</title> | ||
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|  | <span id="An-improved-replacement-for-MPI_005fAlltoall"></span><div class="header"> | ||
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|  | Previous: <a href="Advanced-distributed_002dtranspose-interface.html" accesskey="p" rel="prev">Advanced distributed-transpose interface</a>, Up: <a href="FFTW-MPI-Transposes.html" accesskey="u" rel="up">FFTW MPI Transposes</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="An-improved-replacement-for-MPI_005fAlltoall-1"></span><h4 class="subsection">6.7.3 An improved replacement for MPI_Alltoall</h4> | ||
|  | 
 | ||
|  | <p>We close this section by noting that FFTW’s MPI transpose routines can | ||
|  | be thought of as a generalization for the <code>MPI_Alltoall</code> function | ||
|  | (albeit only for floating-point types), and in some circumstances can | ||
|  | function as an improved replacement. | ||
|  | <span id="index-MPI_005fAlltoall"></span> | ||
|  | </p> | ||
|  | 
 | ||
|  | <p><code>MPI_Alltoall</code> is defined by the MPI standard as: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">int MPI_Alltoall(void *sendbuf, int sendcount, MPI_Datatype sendtype,  | ||
|  |                  void *recvbuf, int recvcnt, MPI_Datatype recvtype,  | ||
|  |                  MPI_Comm comm); | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>In particular, for <code>double*</code> arrays <code>in</code> and <code>out</code>, | ||
|  | consider the call: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">MPI_Alltoall(in, howmany, MPI_DOUBLE, out, howmany MPI_DOUBLE, comm); | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>This is completely equivalent to: | ||
|  | </p> | ||
|  | <div class="example"> | ||
|  | <pre class="example">MPI_Comm_size(comm, &P); | ||
|  | plan = fftw_mpi_plan_many_transpose(P, P, howmany, 1, 1, in, out, comm, FFTW_ESTIMATE); | ||
|  | fftw_execute(plan); | ||
|  | fftw_destroy_plan(plan); | ||
|  | </pre></div> | ||
|  | 
 | ||
|  | <p>That is, computing a P × P | ||
|  |  transpose on <code>P</code> processes, | ||
|  | with a block size of 1, is just a standard all-to-all communication. | ||
|  | </p> | ||
|  | <p>However, using the FFTW routine instead of <code>MPI_Alltoall</code> may | ||
|  | have certain advantages.  First of all, FFTW’s routine can operate | ||
|  | in-place (<code>in == out</code>) whereas <code>MPI_Alltoall</code> can only | ||
|  | operate out-of-place. | ||
|  | <span id="index-in_002dplace-8"></span> | ||
|  | </p> | ||
|  | 
 | ||
|  | <p>Second, even for out-of-place plans, FFTW’s routine may be faster, | ||
|  | especially if you need to perform the all-to-all communication many | ||
|  | times and can afford to use <code>FFTW_MEASURE</code> or | ||
|  | <code>FFTW_PATIENT</code>.  It should certainly be no slower, not including | ||
|  | the time to create the plan, since one of the possible algorithms that | ||
|  | FFTW uses for an out-of-place transpose <em>is</em> simply to call | ||
|  | <code>MPI_Alltoall</code>.  However, FFTW also considers several other | ||
|  | possible algorithms that, depending on your MPI implementation and | ||
|  | your hardware, may be faster. | ||
|  | <span id="index-FFTW_005fMEASURE-3"></span> | ||
|  | <span id="index-FFTW_005fPATIENT-4"></span> | ||
|  | </p> | ||
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