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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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2 <html>
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3 <!-- This manual is for FFTW
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4 (version 3.3.8, 24 May 2018).
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5
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6 Copyright (C) 2003 Matteo Frigo.
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7
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8 Copyright (C) 2003 Massachusetts Institute of Technology.
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9
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10 Permission is granted to make and distribute verbatim copies of this
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11 manual provided the copyright notice and this permission notice are
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12 preserved on all copies.
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13
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14 Permission is granted to copy and distribute modified versions of this
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15 manual under the conditions for verbatim copying, provided that the
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16 entire resulting derived work is distributed under the terms of a
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17 permission notice identical to this one.
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18
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19 Permission is granted to copy and distribute translations of this manual
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20 into another language, under the above conditions for modified versions,
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22 approved by the Free Software Foundation. -->
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23 <!-- Created by GNU Texinfo 6.3, http://www.gnu.org/software/texinfo/ -->
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24 <head>
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25 <title>FFTW 3.3.8: MPI Data Distribution</title>
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26
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27 <meta name="description" content="FFTW 3.3.8: MPI Data Distribution">
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28 <meta name="keywords" content="FFTW 3.3.8: MPI Data Distribution">
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33 <link href="index.html#Top" rel="start" title="Top">
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34 <link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
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35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
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36 <link href="Distributed_002dmemory-FFTW-with-MPI.html#Distributed_002dmemory-FFTW-with-MPI" rel="up" title="Distributed-memory FFTW with MPI">
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37 <link href="Basic-and-advanced-distribution-interfaces.html#Basic-and-advanced-distribution-interfaces" rel="next" title="Basic and advanced distribution interfaces">
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38 <link href="2d-MPI-example.html#g_t2d-MPI-example" rel="prev" title="2d MPI example">
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64 -->
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65 </style>
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66
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67
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68 </head>
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69
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70 <body lang="en">
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71 <a name="MPI-Data-Distribution"></a>
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72 <div class="header">
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73 <p>
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74 Next: <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html#Multi_002ddimensional-MPI-DFTs-of-Real-Data" accesskey="n" rel="next">Multi-dimensional MPI DFTs of Real Data</a>, Previous: <a href="2d-MPI-example.html#g_t2d-MPI-example" accesskey="p" rel="prev">2d MPI example</a>, Up: <a href="Distributed_002dmemory-FFTW-with-MPI.html#Distributed_002dmemory-FFTW-with-MPI" 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#Concept-Index" title="Index" rel="index">Index</a>]</p>
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75 </div>
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76 <hr>
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77 <a name="MPI-Data-Distribution-1"></a>
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78 <h3 class="section">6.4 MPI Data Distribution</h3>
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79 <a name="index-data-distribution-2"></a>
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80
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81 <p>The most important concept to understand in using FFTW’s MPI interface
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82 is the data distribution. With a serial or multithreaded FFT, all of
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83 the inputs and outputs are stored as a single contiguous chunk of
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84 memory. With a distributed-memory FFT, the inputs and outputs are
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85 broken into disjoint blocks, one per process.
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86 </p>
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87 <p>In particular, FFTW uses a <em>1d block distribution</em> of the data,
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88 distributed along the <em>first dimension</em>. For example, if you
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89 want to perform a 100 × 200
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90 complex DFT, distributed over 4
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91 processes, each process will get a 25 × 200
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92 slice of the data.
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93 That is, process 0 will get rows 0 through 24, process 1 will get rows
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94 25 through 49, process 2 will get rows 50 through 74, and process 3
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95 will get rows 75 through 99. If you take the same array but
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96 distribute it over 3 processes, then it is not evenly divisible so the
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97 different processes will have unequal chunks. FFTW’s default choice
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98 in this case is to assign 34 rows to processes 0 and 1, and 32 rows to
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99 process 2.
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100 <a name="index-block-distribution"></a>
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101 </p>
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102
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103 <p>FFTW provides several ‘<samp>fftw_mpi_local_size</samp>’ routines that you can
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104 call to find out what portion of an array is stored on the current
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105 process. In most cases, you should use the default block sizes picked
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106 by FFTW, but it is also possible to specify your own block size. For
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107 example, with a 100 × 200
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108 array on three processes, you can
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109 tell FFTW to use a block size of 40, which would assign 40 rows to
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110 processes 0 and 1, and 20 rows to process 2. FFTW’s default is to
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111 divide the data equally among the processes if possible, and as best
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112 it can otherwise. The rows are always assigned in “rank order,”
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113 i.e. process 0 gets the first block of rows, then process 1, and so
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114 on. (You can change this by using <code>MPI_Comm_split</code> to create a
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115 new communicator with re-ordered processes.) However, you should
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116 always call the ‘<samp>fftw_mpi_local_size</samp>’ routines, if possible,
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117 rather than trying to predict FFTW’s distribution choices.
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118 </p>
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119 <p>In particular, it is critical that you allocate the storage size that
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120 is returned by ‘<samp>fftw_mpi_local_size</samp>’, which is <em>not</em>
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121 necessarily the size of the local slice of the array. The reason is
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122 that intermediate steps of FFTW’s algorithms involve transposing the
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123 array and redistributing the data, so at these intermediate steps FFTW
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124 may require more local storage space (albeit always proportional to
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125 the total size divided by the number of processes). The
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126 ‘<samp>fftw_mpi_local_size</samp>’ functions know how much storage is required
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127 for these intermediate steps and tell you the correct amount to
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128 allocate.
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129 </p>
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130 <table class="menu" border="0" cellspacing="0">
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131 <tr><td align="left" valign="top">• <a href="Basic-and-advanced-distribution-interfaces.html#Basic-and-advanced-distribution-interfaces" accesskey="1">Basic and advanced distribution interfaces</a>:</td><td> </td><td align="left" valign="top">
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132 </td></tr>
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133 <tr><td align="left" valign="top">• <a href="Load-balancing.html#Load-balancing" accesskey="2">Load balancing</a>:</td><td> </td><td align="left" valign="top">
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134 </td></tr>
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135 <tr><td align="left" valign="top">• <a href="Transposed-distributions.html#Transposed-distributions" accesskey="3">Transposed distributions</a>:</td><td> </td><td align="left" valign="top">
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136 </td></tr>
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137 <tr><td align="left" valign="top">• <a href="One_002ddimensional-distributions.html#One_002ddimensional-distributions" accesskey="4">One-dimensional distributions</a>:</td><td> </td><td align="left" valign="top">
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138 </td></tr>
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139 </table>
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140
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141 <hr>
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142 <div class="header">
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143 <p>
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144 Next: <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html#Multi_002ddimensional-MPI-DFTs-of-Real-Data" accesskey="n" rel="next">Multi-dimensional MPI DFTs of Real Data</a>, Previous: <a href="2d-MPI-example.html#g_t2d-MPI-example" accesskey="p" rel="prev">2d MPI example</a>, Up: <a href="Distributed_002dmemory-FFTW-with-MPI.html#Distributed_002dmemory-FFTW-with-MPI" 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#Concept-Index" title="Index" rel="index">Index</a>]</p>
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145 </div>
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146
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147
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148
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149 </body>
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150 </html>
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