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Replace these with versions built using an older toolset (so as to avoid ABI compatibilities when linking on Ubuntu 14.04 for packaging purposes)
author Chris Cannam
date Fri, 07 Feb 2020 11:51:13 +0000
parents 2cd0e3b3e1fd
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Chris@42 25 <title>FFTW 3.3.5: An improved replacement for MPI_Alltoall</title>
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Chris@42 72 <a name="An-improved-replacement-for-MPI_005fAlltoall"></a>
Chris@42 73 <div class="header">
Chris@42 74 <p>
Chris@42 75 Previous: <a href="Advanced-distributed_002dtranspose-interface.html#Advanced-distributed_002dtranspose-interface" accesskey="p" rel="prev">Advanced distributed-transpose interface</a>, Up: <a href="FFTW-MPI-Transposes.html#FFTW-MPI-Transposes" accesskey="u" rel="up">FFTW MPI Transposes</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
Chris@42 76 </div>
Chris@42 77 <hr>
Chris@42 78 <a name="An-improved-replacement-for-MPI_005fAlltoall-1"></a>
Chris@42 79 <h4 class="subsection">6.7.3 An improved replacement for MPI_Alltoall</h4>
Chris@42 80
Chris@42 81 <p>We close this section by noting that FFTW&rsquo;s MPI transpose routines can
Chris@42 82 be thought of as a generalization for the <code>MPI_Alltoall</code> function
Chris@42 83 (albeit only for floating-point types), and in some circumstances can
Chris@42 84 function as an improved replacement.
Chris@42 85 <a name="index-MPI_005fAlltoall"></a>
Chris@42 86 </p>
Chris@42 87
Chris@42 88 <p><code>MPI_Alltoall</code> is defined by the MPI standard as:
Chris@42 89 </p>
Chris@42 90 <div class="example">
Chris@42 91 <pre class="example">int MPI_Alltoall(void *sendbuf, int sendcount, MPI_Datatype sendtype,
Chris@42 92 void *recvbuf, int recvcnt, MPI_Datatype recvtype,
Chris@42 93 MPI_Comm comm);
Chris@42 94 </pre></div>
Chris@42 95
Chris@42 96 <p>In particular, for <code>double*</code> arrays <code>in</code> and <code>out</code>,
Chris@42 97 consider the call:
Chris@42 98 </p>
Chris@42 99 <div class="example">
Chris@42 100 <pre class="example">MPI_Alltoall(in, howmany, MPI_DOUBLE, out, howmany MPI_DOUBLE, comm);
Chris@42 101 </pre></div>
Chris@42 102
Chris@42 103 <p>This is completely equivalent to:
Chris@42 104 </p>
Chris@42 105 <div class="example">
Chris@42 106 <pre class="example">MPI_Comm_size(comm, &amp;P);
Chris@42 107 plan = fftw_mpi_plan_many_transpose(P, P, howmany, 1, 1, in, out, comm, FFTW_ESTIMATE);
Chris@42 108 fftw_execute(plan);
Chris@42 109 fftw_destroy_plan(plan);
Chris@42 110 </pre></div>
Chris@42 111
Chris@42 112 <p>That is, computing a P&nbsp;&times;&nbsp;P transpose on <code>P</code> processes,
Chris@42 113 with a block size of 1, is just a standard all-to-all communication.
Chris@42 114 </p>
Chris@42 115 <p>However, using the FFTW routine instead of <code>MPI_Alltoall</code> may
Chris@42 116 have certain advantages. First of all, FFTW&rsquo;s routine can operate
Chris@42 117 in-place (<code>in == out</code>) whereas <code>MPI_Alltoall</code> can only
Chris@42 118 operate out-of-place.
Chris@42 119 <a name="index-in_002dplace-8"></a>
Chris@42 120 </p>
Chris@42 121
Chris@42 122 <p>Second, even for out-of-place plans, FFTW&rsquo;s routine may be faster,
Chris@42 123 especially if you need to perform the all-to-all communication many
Chris@42 124 times and can afford to use <code>FFTW_MEASURE</code> or
Chris@42 125 <code>FFTW_PATIENT</code>. It should certainly be no slower, not including
Chris@42 126 the time to create the plan, since one of the possible algorithms that
Chris@42 127 FFTW uses for an out-of-place transpose <em>is</em> simply to call
Chris@42 128 <code>MPI_Alltoall</code>. However, FFTW also considers several other
Chris@42 129 possible algorithms that, depending on your MPI implementation and
Chris@42 130 your hardware, may be faster.
Chris@42 131 <a name="index-FFTW_005fMEASURE-3"></a>
Chris@42 132 <a name="index-FFTW_005fPATIENT-4"></a>
Chris@42 133 </p>
Chris@42 134
Chris@42 135
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