annotate src/fftw-3.3.5/doc/html/An-improved-replacement-for-MPI_005fAlltoall.html @ 148:b4bfdf10c4b3

Update Win64 capnp builds to v0.6
author Chris Cannam <cannam@all-day-breakfast.com>
date Mon, 22 May 2017 18:56:49 +0100
parents 7867fa7e1b6b
children
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cannam@127 3 <!-- This manual is for FFTW
cannam@127 4 (version 3.3.5, 30 July 2016).
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cannam@127 6 Copyright (C) 2003 Matteo Frigo.
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cannam@127 25 <title>FFTW 3.3.5: An improved replacement for MPI_Alltoall</title>
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cannam@127 72 <a name="An-improved-replacement-for-MPI_005fAlltoall"></a>
cannam@127 73 <div class="header">
cannam@127 74 <p>
cannam@127 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>
cannam@127 76 </div>
cannam@127 77 <hr>
cannam@127 78 <a name="An-improved-replacement-for-MPI_005fAlltoall-1"></a>
cannam@127 79 <h4 class="subsection">6.7.3 An improved replacement for MPI_Alltoall</h4>
cannam@127 80
cannam@127 81 <p>We close this section by noting that FFTW&rsquo;s MPI transpose routines can
cannam@127 82 be thought of as a generalization for the <code>MPI_Alltoall</code> function
cannam@127 83 (albeit only for floating-point types), and in some circumstances can
cannam@127 84 function as an improved replacement.
cannam@127 85 <a name="index-MPI_005fAlltoall"></a>
cannam@127 86 </p>
cannam@127 87
cannam@127 88 <p><code>MPI_Alltoall</code> is defined by the MPI standard as:
cannam@127 89 </p>
cannam@127 90 <div class="example">
cannam@127 91 <pre class="example">int MPI_Alltoall(void *sendbuf, int sendcount, MPI_Datatype sendtype,
cannam@127 92 void *recvbuf, int recvcnt, MPI_Datatype recvtype,
cannam@127 93 MPI_Comm comm);
cannam@127 94 </pre></div>
cannam@127 95
cannam@127 96 <p>In particular, for <code>double*</code> arrays <code>in</code> and <code>out</code>,
cannam@127 97 consider the call:
cannam@127 98 </p>
cannam@127 99 <div class="example">
cannam@127 100 <pre class="example">MPI_Alltoall(in, howmany, MPI_DOUBLE, out, howmany MPI_DOUBLE, comm);
cannam@127 101 </pre></div>
cannam@127 102
cannam@127 103 <p>This is completely equivalent to:
cannam@127 104 </p>
cannam@127 105 <div class="example">
cannam@127 106 <pre class="example">MPI_Comm_size(comm, &amp;P);
cannam@127 107 plan = fftw_mpi_plan_many_transpose(P, P, howmany, 1, 1, in, out, comm, FFTW_ESTIMATE);
cannam@127 108 fftw_execute(plan);
cannam@127 109 fftw_destroy_plan(plan);
cannam@127 110 </pre></div>
cannam@127 111
cannam@127 112 <p>That is, computing a P&nbsp;&times;&nbsp;P transpose on <code>P</code> processes,
cannam@127 113 with a block size of 1, is just a standard all-to-all communication.
cannam@127 114 </p>
cannam@127 115 <p>However, using the FFTW routine instead of <code>MPI_Alltoall</code> may
cannam@127 116 have certain advantages. First of all, FFTW&rsquo;s routine can operate
cannam@127 117 in-place (<code>in == out</code>) whereas <code>MPI_Alltoall</code> can only
cannam@127 118 operate out-of-place.
cannam@127 119 <a name="index-in_002dplace-8"></a>
cannam@127 120 </p>
cannam@127 121
cannam@127 122 <p>Second, even for out-of-place plans, FFTW&rsquo;s routine may be faster,
cannam@127 123 especially if you need to perform the all-to-all communication many
cannam@127 124 times and can afford to use <code>FFTW_MEASURE</code> or
cannam@127 125 <code>FFTW_PATIENT</code>. It should certainly be no slower, not including
cannam@127 126 the time to create the plan, since one of the possible algorithms that
cannam@127 127 FFTW uses for an out-of-place transpose <em>is</em> simply to call
cannam@127 128 <code>MPI_Alltoall</code>. However, FFTW also considers several other
cannam@127 129 possible algorithms that, depending on your MPI implementation and
cannam@127 130 your hardware, may be faster.
cannam@127 131 <a name="index-FFTW_005fMEASURE-3"></a>
cannam@127 132 <a name="index-FFTW_005fPATIENT-4"></a>
cannam@127 133 </p>
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