mirror of
https://github.com/tildearrow/furnace.git
synced 2024-12-04 18:27:25 +00:00
314 lines
18 KiB
HTML
314 lines
18 KiB
HTML
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
|
||
|
|
<html>
|
||
|
|
<!-- This manual is for FFTW
|
||
|
|
(version 3.3.10, 10 December 2020).
|
||
|
|
|
||
|
|
Copyright (C) 2003 Matteo Frigo.
|
||
|
|
|
||
|
|
Copyright (C) 2003 Massachusetts Institute of Technology.
|
||
|
|
|
||
|
|
Permission is granted to make and distribute verbatim copies of this
|
||
|
|
manual provided the copyright notice and this permission notice are
|
||
|
|
preserved on all copies.
|
||
|
|
|
||
|
|
Permission is granted to copy and distribute modified versions of this
|
||
|
|
manual under the conditions for verbatim copying, provided that the
|
||
|
|
entire resulting derived work is distributed under the terms of a
|
||
|
|
permission notice identical to this one.
|
||
|
|
|
||
|
|
Permission is granted to copy and distribute translations of this manual
|
||
|
|
into another language, under the above conditions for modified versions,
|
||
|
|
except that this permission notice may be stated in a translation
|
||
|
|
approved by the Free Software Foundation. -->
|
||
|
|
<!-- Created by GNU Texinfo 6.7, http://www.gnu.org/software/texinfo/ -->
|
||
|
|
<head>
|
||
|
|
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
|
||
|
|
<title>MPI Plan Creation (FFTW 3.3.10)</title>
|
||
|
|
|
||
|
|
<meta name="description" content="MPI Plan Creation (FFTW 3.3.10)">
|
||
|
|
<meta name="keywords" content="MPI Plan Creation (FFTW 3.3.10)">
|
||
|
|
<meta name="resource-type" content="document">
|
||
|
|
<meta name="distribution" content="global">
|
||
|
|
<meta name="Generator" content="makeinfo">
|
||
|
|
<link href="index.html" rel="start" title="Top">
|
||
|
|
<link href="Concept-Index.html" rel="index" title="Concept Index">
|
||
|
|
<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
|
||
|
|
<link href="FFTW-MPI-Reference.html" rel="up" title="FFTW MPI Reference">
|
||
|
|
<link href="MPI-Wisdom-Communication.html" rel="next" title="MPI Wisdom Communication">
|
||
|
|
<link href="MPI-Data-Distribution-Functions.html" rel="prev" title="MPI Data Distribution Functions">
|
||
|
|
<style type="text/css">
|
||
|
|
<!--
|
||
|
|
a.summary-letter {text-decoration: none}
|
||
|
|
blockquote.indentedblock {margin-right: 0em}
|
||
|
|
div.display {margin-left: 3.2em}
|
||
|
|
div.example {margin-left: 3.2em}
|
||
|
|
div.lisp {margin-left: 3.2em}
|
||
|
|
kbd {font-style: oblique}
|
||
|
|
pre.display {font-family: inherit}
|
||
|
|
pre.format {font-family: inherit}
|
||
|
|
pre.menu-comment {font-family: serif}
|
||
|
|
pre.menu-preformatted {font-family: serif}
|
||
|
|
span.nolinebreak {white-space: nowrap}
|
||
|
|
span.roman {font-family: initial; font-weight: normal}
|
||
|
|
span.sansserif {font-family: sans-serif; font-weight: normal}
|
||
|
|
ul.no-bullet {list-style: none}
|
||
|
|
-->
|
||
|
|
</style>
|
||
|
|
|
||
|
|
|
||
|
|
</head>
|
||
|
|
|
||
|
|
<body lang="en">
|
||
|
|
<span id="MPI-Plan-Creation"></span><div class="header">
|
||
|
|
<p>
|
||
|
|
Next: <a href="MPI-Wisdom-Communication.html" accesskey="n" rel="next">MPI Wisdom Communication</a>, Previous: <a href="MPI-Data-Distribution-Functions.html" accesskey="p" rel="prev">MPI Data Distribution Functions</a>, Up: <a href="FFTW-MPI-Reference.html" accesskey="u" rel="up">FFTW MPI Reference</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>
|
||
|
|
</div>
|
||
|
|
<hr>
|
||
|
|
<span id="MPI-Plan-Creation-1"></span><h4 class="subsection">6.12.5 MPI Plan Creation</h4>
|
||
|
|
|
||
|
|
<span id="Complex_002ddata-MPI-DFTs"></span><h4 class="subsubheading">Complex-data MPI DFTs</h4>
|
||
|
|
|
||
|
|
<p>Plans for complex-data DFTs (see <a href="2d-MPI-example.html">2d MPI example</a>) are created by:
|
||
|
|
</p>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005f1d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005f2d-1"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005f3d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fmany_005fdft"></span>
|
||
|
|
<div class="example">
|
||
|
|
<pre class="example">fftw_plan fftw_mpi_plan_dft_1d(ptrdiff_t n0, fftw_complex *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, int sign, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
fftw_complex *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, int sign, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
|
||
|
|
fftw_complex *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, int sign, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft(int rnk, const ptrdiff_t *n,
|
||
|
|
fftw_complex *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, int sign, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_many_dft(int rnk, const ptrdiff_t *n,
|
||
|
|
ptrdiff_t howmany, ptrdiff_t block, ptrdiff_t tblock,
|
||
|
|
fftw_complex *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, int sign, unsigned flags);
|
||
|
|
</pre></div>
|
||
|
|
|
||
|
|
<span id="index-MPI-communicator-2"></span>
|
||
|
|
<span id="index-collective-function-4"></span>
|
||
|
|
<p>These are similar to their serial counterparts (see <a href="Complex-DFTs.html">Complex DFTs</a>)
|
||
|
|
in specifying the dimensions, sign, and flags of the transform. The
|
||
|
|
<code>comm</code> argument gives an MPI communicator that specifies the set
|
||
|
|
of processes to participate in the transform; plan creation is a
|
||
|
|
collective function that must be called for all processes in the
|
||
|
|
communicator. The <code>in</code> and <code>out</code> pointers refer only to a
|
||
|
|
portion of the overall transform data (see <a href="MPI-Data-Distribution.html">MPI Data Distribution</a>)
|
||
|
|
as specified by the ‘<samp>local_size</samp>’ functions in the previous
|
||
|
|
section. Unless <code>flags</code> contains <code>FFTW_ESTIMATE</code>, these
|
||
|
|
arrays are overwritten during plan creation as for the serial
|
||
|
|
interface. For multi-dimensional transforms, any dimensions <code>>
|
||
|
|
1</code> are supported; for one-dimensional transforms, only composite
|
||
|
|
(non-prime) <code>n0</code> are currently supported (unlike the serial
|
||
|
|
FFTW). Requesting an unsupported transform size will yield a
|
||
|
|
<code>NULL</code> plan. (As in the serial interface, highly composite sizes
|
||
|
|
generally yield the best performance.)
|
||
|
|
</p>
|
||
|
|
<span id="index-advanced-interface-6"></span>
|
||
|
|
<span id="index-FFTW_005fMPI_005fDEFAULT_005fBLOCK-2"></span>
|
||
|
|
<span id="index-stride-3"></span>
|
||
|
|
<p>The advanced-interface <code>fftw_mpi_plan_many_dft</code> additionally
|
||
|
|
allows you to specify the block sizes for the first dimension
|
||
|
|
(<code>block</code>) of the n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub>
|
||
|
|
input data and the first dimension
|
||
|
|
(<code>tblock</code>) of the n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub>
|
||
|
|
transposed data (at intermediate
|
||
|
|
steps of the transform, and for the output if
|
||
|
|
<code>FFTW_TRANSPOSED_OUT</code> is specified in <code>flags</code>). These must
|
||
|
|
be the same block sizes as were passed to the corresponding
|
||
|
|
‘<samp>local_size</samp>’ function; you can pass <code>FFTW_MPI_DEFAULT_BLOCK</code>
|
||
|
|
to use FFTW’s default block size as in the basic interface. Also, the
|
||
|
|
<code>howmany</code> parameter specifies that the transform is of contiguous
|
||
|
|
<code>howmany</code>-tuples rather than individual complex numbers; this
|
||
|
|
corresponds to the same parameter in the serial advanced interface
|
||
|
|
(see <a href="Advanced-Complex-DFTs.html">Advanced Complex DFTs</a>) with <code>stride = howmany</code> and
|
||
|
|
<code>dist = 1</code>.
|
||
|
|
</p>
|
||
|
|
<span id="MPI-flags"></span><h4 class="subsubheading">MPI flags</h4>
|
||
|
|
|
||
|
|
<p>The <code>flags</code> can be any of those for the serial FFTW
|
||
|
|
(see <a href="Planner-Flags.html">Planner Flags</a>), and in addition may include one or more of
|
||
|
|
the following MPI-specific flags, which improve performance at the
|
||
|
|
cost of changing the output or input data formats.
|
||
|
|
</p>
|
||
|
|
<ul>
|
||
|
|
<li> <span id="index-FFTW_005fMPI_005fSCRAMBLED_005fOUT-2"></span>
|
||
|
|
<span id="index-FFTW_005fMPI_005fSCRAMBLED_005fIN-2"></span>
|
||
|
|
<code>FFTW_MPI_SCRAMBLED_OUT</code>, <code>FFTW_MPI_SCRAMBLED_IN</code>: valid for
|
||
|
|
1d transforms only, these flags indicate that the output/input of the
|
||
|
|
transform are in an undocumented “scrambled” order. A forward
|
||
|
|
<code>FFTW_MPI_SCRAMBLED_OUT</code> transform can be inverted by a backward
|
||
|
|
<code>FFTW_MPI_SCRAMBLED_IN</code> (times the usual 1/<i>N</i> normalization).
|
||
|
|
See <a href="One_002ddimensional-distributions.html">One-dimensional distributions</a>.
|
||
|
|
|
||
|
|
</li><li> <span id="index-FFTW_005fMPI_005fTRANSPOSED_005fOUT-2"></span>
|
||
|
|
<span id="index-FFTW_005fMPI_005fTRANSPOSED_005fIN-2"></span>
|
||
|
|
<code>FFTW_MPI_TRANSPOSED_OUT</code>, <code>FFTW_MPI_TRANSPOSED_IN</code>: valid
|
||
|
|
for multidimensional (<code>rnk > 1</code>) transforms only, these flags
|
||
|
|
specify that the output or input of an n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub>
|
||
|
|
transform is
|
||
|
|
transposed to n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub>
|
||
|
|
. See <a href="Transposed-distributions.html">Transposed distributions</a>.
|
||
|
|
|
||
|
|
</li></ul>
|
||
|
|
|
||
|
|
<span id="Real_002ddata-MPI-DFTs"></span><h4 class="subsubheading">Real-data MPI DFTs</h4>
|
||
|
|
|
||
|
|
<span id="index-r2c-4"></span>
|
||
|
|
<p>Plans for real-input/output (r2c/c2r) DFTs (see <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html">Multi-dimensional MPI DFTs of Real Data</a>) are created by:
|
||
|
|
</p>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d-1"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f3d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fr2c"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d-1"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f3d"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fdft_005fc2r"></span>
|
||
|
|
<div class="example">
|
||
|
|
<pre class="example">fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
double *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
double *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_r2c_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
|
||
|
|
double *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_r2c(int rnk, const ptrdiff_t *n,
|
||
|
|
double *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
fftw_complex *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
fftw_complex *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_c2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
|
||
|
|
fftw_complex *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_dft_c2r(int rnk, const ptrdiff_t *n,
|
||
|
|
fftw_complex *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
</pre></div>
|
||
|
|
|
||
|
|
<p>Similar to the serial interface (see <a href="Real_002ddata-DFTs.html">Real-data DFTs</a>), these
|
||
|
|
transform logically n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub>
|
||
|
|
real data to/from n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × (n<sub>d-1</sub>/2 + 1)
|
||
|
|
complex
|
||
|
|
data, representing the non-redundant half of the conjugate-symmetry
|
||
|
|
output of a real-input DFT (see <a href="Multi_002ddimensional-Transforms.html">Multi-dimensional Transforms</a>).
|
||
|
|
However, the real array must be stored within a padded n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × [2 (n<sub>d-1</sub>/2 + 1)]
|
||
|
|
|
||
|
|
array (much like the in-place serial r2c transforms, but here for
|
||
|
|
out-of-place transforms as well). Currently, only multi-dimensional
|
||
|
|
(<code>rnk > 1</code>) r2c/c2r transforms are supported (requesting a plan
|
||
|
|
for <code>rnk = 1</code> will yield <code>NULL</code>). As explained above
|
||
|
|
(see <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html">Multi-dimensional MPI DFTs of Real Data</a>), the data
|
||
|
|
distribution of both the real and complex arrays is given by the
|
||
|
|
‘<samp>local_size</samp>’ function called for the dimensions of the
|
||
|
|
<em>complex</em> array. Similar to the other planning functions, the
|
||
|
|
input and output arrays are overwritten when the plan is created
|
||
|
|
except in <code>FFTW_ESTIMATE</code> mode.
|
||
|
|
</p>
|
||
|
|
<p>As for the complex DFTs above, there is an advance interface that
|
||
|
|
allows you to manually specify block sizes and to transform contiguous
|
||
|
|
<code>howmany</code>-tuples of real/complex numbers:
|
||
|
|
</p>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fr2c"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fc2r"></span>
|
||
|
|
<div class="example">
|
||
|
|
<pre class="example">fftw_plan fftw_mpi_plan_many_dft_r2c
|
||
|
|
(int rnk, const ptrdiff_t *n, ptrdiff_t howmany,
|
||
|
|
ptrdiff_t iblock, ptrdiff_t oblock,
|
||
|
|
double *in, fftw_complex *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_many_dft_c2r
|
||
|
|
(int rnk, const ptrdiff_t *n, ptrdiff_t howmany,
|
||
|
|
ptrdiff_t iblock, ptrdiff_t oblock,
|
||
|
|
fftw_complex *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
</pre></div>
|
||
|
|
|
||
|
|
<span id="MPI-r2r-transforms"></span><h4 class="subsubheading">MPI r2r transforms</h4>
|
||
|
|
|
||
|
|
<span id="index-r2r-4"></span>
|
||
|
|
<p>There are corresponding plan-creation routines for r2r
|
||
|
|
transforms (see <a href="More-DFTs-of-Real-Data.html">More DFTs of Real Data</a>), currently supporting
|
||
|
|
multidimensional (<code>rnk > 1</code>) transforms only (<code>rnk = 1</code> will
|
||
|
|
yield a <code>NULL</code> plan):
|
||
|
|
</p>
|
||
|
|
<div class="example">
|
||
|
|
<pre class="example">fftw_plan fftw_mpi_plan_r2r_2d(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
double *in, double *out,
|
||
|
|
MPI_Comm comm,
|
||
|
|
fftw_r2r_kind kind0, fftw_r2r_kind kind1,
|
||
|
|
unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_r2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
|
||
|
|
double *in, double *out,
|
||
|
|
MPI_Comm comm,
|
||
|
|
fftw_r2r_kind kind0, fftw_r2r_kind kind1, fftw_r2r_kind kind2,
|
||
|
|
unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_r2r(int rnk, const ptrdiff_t *n,
|
||
|
|
double *in, double *out,
|
||
|
|
MPI_Comm comm, const fftw_r2r_kind *kind,
|
||
|
|
unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_many_r2r(int rnk, const ptrdiff_t *n,
|
||
|
|
ptrdiff_t iblock, ptrdiff_t oblock,
|
||
|
|
double *in, double *out,
|
||
|
|
MPI_Comm comm, const fftw_r2r_kind *kind,
|
||
|
|
unsigned flags);
|
||
|
|
</pre></div>
|
||
|
|
|
||
|
|
<p>The parameters are much the same as for the complex DFTs above, except
|
||
|
|
that the arrays are of real numbers (and hence the outputs of the
|
||
|
|
‘<samp>local_size</samp>’ data-distribution functions should be interpreted as
|
||
|
|
counts of real rather than complex numbers). Also, the <code>kind</code>
|
||
|
|
parameters specify the r2r kinds along each dimension as for the
|
||
|
|
serial interface (see <a href="Real_002dto_002dReal-Transform-Kinds.html">Real-to-Real Transform Kinds</a>). See <a href="Other-Multi_002ddimensional-Real_002ddata-MPI-Transforms.html">Other Multi-dimensional Real-data MPI Transforms</a>.
|
||
|
|
</p>
|
||
|
|
<span id="MPI-transposition"></span><h4 class="subsubheading">MPI transposition</h4>
|
||
|
|
<span id="index-transpose-5"></span>
|
||
|
|
|
||
|
|
<p>FFTW also provides routines to plan a transpose of a distributed
|
||
|
|
<code>n0</code> by <code>n1</code> array of real numbers, or an array of
|
||
|
|
<code>howmany</code>-tuples of real numbers with specified block sizes
|
||
|
|
(see <a href="FFTW-MPI-Transposes.html">FFTW MPI Transposes</a>):
|
||
|
|
</p>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005ftranspose-1"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fplan_005fmany_005ftranspose-1"></span>
|
||
|
|
<div class="example">
|
||
|
|
<pre class="example">fftw_plan fftw_mpi_plan_transpose(ptrdiff_t n0, ptrdiff_t n1,
|
||
|
|
double *in, double *out,
|
||
|
|
MPI_Comm comm, unsigned flags);
|
||
|
|
fftw_plan fftw_mpi_plan_many_transpose
|
||
|
|
(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t howmany,
|
||
|
|
ptrdiff_t block0, ptrdiff_t block1,
|
||
|
|
double *in, double *out, MPI_Comm comm, unsigned flags);
|
||
|
|
</pre></div>
|
||
|
|
|
||
|
|
<span id="index-new_002darray-execution-2"></span>
|
||
|
|
<span id="index-fftw_005fmpi_005fexecute_005fr2r-1"></span>
|
||
|
|
<p>These plans are used with the <code>fftw_mpi_execute_r2r</code> new-array
|
||
|
|
execute function (see <a href="Using-MPI-Plans.html">Using MPI Plans</a>), since they count as (rank
|
||
|
|
zero) r2r plans from FFTW’s perspective.
|
||
|
|
</p>
|
||
|
|
<hr>
|
||
|
|
<div class="header">
|
||
|
|
<p>
|
||
|
|
Next: <a href="MPI-Wisdom-Communication.html" accesskey="n" rel="next">MPI Wisdom Communication</a>, Previous: <a href="MPI-Data-Distribution-Functions.html" accesskey="p" rel="prev">MPI Data Distribution Functions</a>, Up: <a href="FFTW-MPI-Reference.html" accesskey="u" rel="up">FFTW MPI Reference</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>
|
||
|
|
</div>
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
</body>
|
||
|
|
</html>
|