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52<title>DARPA/DOE HPC&#XA0;Challenge Benchmark version 1.4.2
53</title>
54</head>
55<body >
56<!--HEVEA command line is: hevea README.tex -->
57<!--CUT STYLE article--><!--CUT DEF section 1 --><table class="title"><tr><td><h1 class="titlemain">DARPA/DOE HPC&#XA0;Challenge Benchmark version 1.4.2</h1><h3 class="titlerest">Piotr Luszczek<sup><a id="text1" href="#note1">*</a></sup></h3><h3 class="titlerest">October 12, 2012</h3></td></tr>
58</table>
59<!--TOC section id=sec1 Introduction-->
60<h2 id="sec1" class="section">1&#XA0;&#XA0;Introduction</h2><!--SEC END --><p>
61This is a suite of benchmarks that measure performance of processor,
62memory subsytem, and the interconnect. For details refer to the
63HPC&#XA0;Challenge web site (<span style="font-family:monospace; color:navy;">http://icl.cs.utk.edu/hpcc/</span>.)</p><p>In essence, HPC&#XA0;Challenge consists of a number of tests each
64of which measures performance of a different aspect of the system.</p><p>If you are familiar with the High Performance Linpack&#XA0;(HPL) benchmark
65code (see the HPL web site:
66<span style="font-family:monospace; color:navy;">http://www.netlib.org/benchmark/hpl/</span>) then you can reuse the
67build script file&#XA0;(input for <span style="font-family:monospace; color:navy;">make(1)</span> command) and the input
68file that you already have for HPL. The HPC&#XA0;Challenge benchmark
69includes HPL and uses its build script and input files with only
70slight modifications. The most important change must be done to the
71line that sets the <span style="font-family:monospace; color:navy;">TOPdir</span> variable. For HPC&#XA0;Challenge, the
72variable&#X2019;s value should always be <span style="font-family:monospace; color:navy;">../../..</span> regardless of what
73it was in the HPL build script file.</p>
74<!--TOC section id=sec2 Compiling-->
75<h2 id="sec2" class="section">2&#XA0;&#XA0;Compiling</h2><!--SEC END --><p>
76The first step is to create a build script file that reflects
77characteristics of your machine. This file is reused by all the
78components of the HPC&#XA0;Challenge suite. The build script file should be
79created in the <span style="font-family:monospace; color:navy;">hpl</span> directory. This directory contains
80instructions (the files <span style="font-family:monospace; color:navy;">README</span> and <span style="font-family:monospace; color:navy;">INSTALL</span>) on how
81to create the build script file for your system. The
82<span style="font-family:monospace; color:navy;">hpl/setup</span> directory contains many examples of build script
83files. A recommended approach is to copy one of them to the
84<span style="font-family:monospace; color:navy;">hpl</span> directory and if it doesn&#X2019;t work then change it.</p><p>The build script file has a name that starts with <span style="font-family:monospace; color:navy;">Make.</span>
85prefix and usally ends with a suffix that identifies the target
86system. For example, if the suffix chosen for the system is
87<span style="font-family:monospace; color:navy;">Unix</span>, the file should be named <span style="font-family:monospace; color:navy;">Make.Unix</span>.</p><p>To build the benchmark executable (for the system named <span style="font-family:monospace; color:navy;">Unix</span>)
88type: <span style="font-family:monospace; color:navy;">make arch=Unix</span>. This command should be run in the top
89directory&#XA0;(not in the <span style="font-family:monospace; color:navy;">hpl</span> directory). It will look in the
90<span style="font-family:monospace; color:navy;">hpl</span> directory for the build script file and use it to build
91the benchmark executable.</p><p>The runtime behavior of the HPC&#XA0;Challenge source code may be
92configured at compiled time by defining a few C preprocessor
93symbols. They can be defined by adding appropriate options to
94<span style="font-family:monospace; color:navy;">CCNOOPT</span> and <span style="font-family:monospace; color:navy;">CCFLAGS</span> make variables. The former
95controls options for source code files that need to be compiled
96without aggressive optimizations to ensure accurate generation of
97system-specific parameters. The latter applies to the rest of the
98files that need good compiler optimization for best performance. To
99define a symbol <span style="font-family:monospace; color:navy;">S</span>, the majority of compilers requires option
100<span style="font-family:monospace; color:navy;">-DS</span> to be used. Currently, the following options are
101available in the HPC&#XA0;Challenge source code:
102</p><ul class="itemize"><li class="li-itemize"><span style="font-family:monospace; color:navy;">HPCC_FFT_235</span>: if this symbol is defined the FFTE
103code (an FFT implementation) will use vector sizes and processor
104counts that are not limited to powers of 2. Instead, the vector sizes
105and processor counts to be used will be a product of powers of 2, 3,
106and 5.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">HPCC_FFTW_ESTIMATE</span>: if this symbol is defined it will
107affect the way external FFTW library is called&#XA0;(it does not have any
108effect if the FFTW library is not used). When defined, this symbol
109will call the FFTW planning routine with <span style="font-family:monospace; color:navy;">FFTW_ESTIMATE</span>
110flag&#XA0;(instead of <span style="font-family:monospace; color:navy;">FFTW_MEASURE</span>). This might result with worse
111performance results but shorter execution time of the
112benchmark. Defining this symbol may also positively affect the memory
113fragmentation caused by the FFTW&#X2019;s planning routine.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">HPCC_MEMALLCTR</span>: if this symbol is defined a custom
114memory allocator will be used to alleviate effects of memory
115fragmentation and allow for larger data sets to be used which may
116result in obtaining better performance.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">HPL_USE_GETPROCESSTIMES</span>: if this symbol is defined
117then Windows-specific <span style="font-family:monospace; color:navy;">GetProcessTimes()</span> function will be used
118to measure the elapsed CPU time.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">USE_MULTIPLE_RECV</span>: if this symbol is defined then multiple non-blocking
119receives will be posted simultaneously. By default only one non-blocking
120receive is posted.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">RA_SANDIA_NOPT</span>: if this symbol is defined the
121HPC&#XA0;Challenge standard algorithm for Global RandomAccess will not be
122used. Instead, an alternative implementation from Sandia
123National Laboratory will be used. It routes messages in software
124across virtual hyper-cube topology formed from MPI processes.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">RA_SANDIA_OPT2</span>: if this symbol is defined the
125HPC&#XA0;Challenge standard algorithm for Global RandomAccess will not be
126used. Instead, instead an alternative implementation from Sandia
127National Laboratory will be used. This implementation is optimized for
128number of processors being powers of two. The optimizations
129are sorting of data before sending and unrolling the data update
130loop. If the number of process is not a power two then the code
131is the same as the one performed with the <span style="font-family:monospace; color:navy;">RA_SANDIA_NOPT</span> setting.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">RA_TIME_BOUND_DISABLE</span>: if this symbol is defined then the
132standard Global RandomAccess code will be used without time limits. This is
133discouraged for most runs because the standard algorithm tends to be slow for
134large array sizes due to a large overhead for short MPI messages.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">USING_FFTW</span>: if this symbol is defined the standard
135HPC&#XA0;Challenge FFT implemenation&#XA0;(called FFTE) will not be used.
136Instead, FFTW library will be called. Defining the
137<span style="font-family:monospace; color:navy;">USING_FFTW</span> symbol is not sufficient: appropriate flags have
138to be added in the make script so that FFTW headers files can be found
139at compile time and the FFTW libraries at link time.</li></ul>
140<!--TOC section id=sec3 Runtime Configuration-->
141<h2 id="sec3" class="section">3&#XA0;&#XA0;Runtime Configuration</h2><!--SEC END --><p>
142The HPC&#XA0;Challenge is driven by a short input file named
143<span style="font-family:monospace; color:navy;">hpccinf.txt</span> that is almost the same as the input file for
144HPL&#XA0;(customarily called <span style="font-family:monospace; color:navy;">HPL.dat</span>). Refer to the directory
145<span style="font-family:monospace; color:navy;">hpl/www/tuning.html</span> for details about the input file for
146HPL. A sample input file is included with the HPC&#XA0;Challenge
147distribution.</p><p>The differences between HPL&#X2019;s input file and HPC&#XA0;Challenge&#X2019;s input
148file can be summarized as follows:</p><ul class="itemize"><li class="li-itemize">
149Lines 3 and 4 are ignored. The output is always appended to the
150file named <span style="font-family:monospace; color:navy;">hpccoutf.txt</span>.
151</li><li class="li-itemize">There are additional lines&#XA0;(starting with line 33) that may&#XA0;(but
152do not have to) be used to customize the HPC&#XA0;Challenge benchmark. They
153are described below.
154</li></ul><p>The additional lines in the HPC&#XA0;Challenge input file&#XA0;(compared to the
155HPL input file) are:</p><ul class="itemize"><li class="li-itemize">
156Lines 33 and 34 describe additional matrix sizes to be used for
157running the PTRANS benchmark&#XA0;(one of the components of the
158HPC&#XA0;Challenge benchmark).
159</li><li class="li-itemize">Lines 35 and 36 describe additional blocking factors to be used
160for running the PTRANS test.
161</li></ul><p>Just for completeness, here is the list of lines of the HPC
162Challenge&#X2019;s input file and brief description of their meaning:
163</p><ul class="itemize"><li class="li-itemize">
164Line 1: ignored
165</li><li class="li-itemize">Line 2: ignored
166</li><li class="li-itemize">Line 3: ignored
167</li><li class="li-itemize">Line 4: ignored
168</li><li class="li-itemize">Line 5: number of matrix sizes for HPL (and PTRANS)
169</li><li class="li-itemize">Line 6: matrix sizes for HPL (and PTRANS)
170</li><li class="li-itemize">Line 7: number of blocking factors for HPL (and PTRANS)
171</li><li class="li-itemize">Line 8: blocking factors for HPL (and PTRANS)
172</li><li class="li-itemize">Line 9: type of process ordering for HPL
173</li><li class="li-itemize">Line 10: number of process grids for HPL (and PTRANS)
174</li><li class="li-itemize">Line 11: numbers of process rows of each process grid for HPL (and PTRANS)
175</li><li class="li-itemize">Line 12: numbers of process columns of each process grid for HPL (and PTRANS)
176</li><li class="li-itemize">Line 13: threshold value not to be exceeded by scaled residual for HPL (and PTRANS)
177</li><li class="li-itemize">Line 14: number of panel factorization methods for HPL
178</li><li class="li-itemize">Line 15: panel factorization methods for HPL
179</li><li class="li-itemize">Line 16: number of recursive stopping criteria for HPL
180</li><li class="li-itemize">Line 17: recursive stopping criteria for HPL
181</li><li class="li-itemize">Line 18: number of recursion panel counts for HPL
182</li><li class="li-itemize">Line 19: recursion panel counts for HPL
183</li><li class="li-itemize">Line 20: number of recursive panel factorization methods for HPL
184</li><li class="li-itemize">Line 21: recursive panel factorization methods for HPL
185</li><li class="li-itemize">Line 22: number of broadcast methods for HPL
186</li><li class="li-itemize">Line 23: broadcast methods for HPL
187</li><li class="li-itemize">Line 24: number of look-ahead depths for HPL
188</li><li class="li-itemize">Line 25: look-ahead depths for HPL
189</li><li class="li-itemize">Line 26: swap methods for HPL
190</li><li class="li-itemize">Line 27: swapping threshold for HPL
191</li><li class="li-itemize">Line 28: form of L1 for HPL
192</li><li class="li-itemize">Line 29: form of U for HPL
193</li><li class="li-itemize">Line 30: value that specifies whether equilibration should be used by HPL
194</li><li class="li-itemize">Line 31: memory alignment for HPL
195</li><li class="li-itemize">Line 32: ignored
196</li><li class="li-itemize">Line 33: number of additional problem sizes for PTRANS
197</li><li class="li-itemize">Line 34: additional problem sizes for PTRANS
198</li><li class="li-itemize">Line 35: number of additional blocking factors for PTRANS
199</li><li class="li-itemize">Line 36: additional blocking factors for PTRANS
200</li></ul>
201<!--TOC section id=sec4 Running-->
202<h2 id="sec4" class="section">4&#XA0;&#XA0;Running</h2><!--SEC END --><p>
203The exact way to run the HPC&#XA0;Challenge benchmark depends on the MPI
204implementation and system details. An example command to run the
205benchmark could like like this: <span style="font-family:monospace; color:navy;">mpirun -np 4 hpcc</span>. The
206meaning of the command&#X2019;s components is as follows:
207</p><ul class="itemize"><li class="li-itemize">
208<span style="font-family:monospace; color:navy;">mpirun</span> is the command that starts execution of an MPI
209code. Depending on the system, it might also be <span style="font-family:monospace; color:navy;">aprun</span>,
210<span style="font-family:monospace; color:navy;">mpiexec</span>, <span style="font-family:monospace; color:navy;">mprun</span>, <span style="font-family:monospace; color:navy;">poe</span>, or something
211appropriate for your computer.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">-np 4</span> is the argument that specifies that 4 MPI
212processes should be started. The number of MPI processes should be
213large enough to accomodate all the process grids specified in the
214<span style="font-family:monospace; color:navy;">hpccinf.txt</span> file.</li><li class="li-itemize"><span style="font-family:monospace; color:navy;">hpcc</span> is the name of the HPC&#XA0;Challenge executable to
215run.
216</li></ul><p>After the run, a file called <span style="font-family:monospace; color:navy;">hpccoutf.txt</span> is created. It
217contains results of the benchmark. This file should be uploaded
218through the web form at the HPC&#XA0;Challenge website.</p>
219<!--TOC section id=sec5 Source Code Changes across Versions (ChangeLog)-->
220<h2 id="sec5" class="section">5&#XA0;&#XA0;Source Code Changes across Versions (ChangeLog)</h2><!--SEC END -->
221<!--TOC subsection id=sec6 Version 1.4.3 (2013-08-26)-->
222<h3 id="sec6" class="subsection">5.1&#XA0;&#XA0;Version 1.4.3 (2013-08-26)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
223Increased the size of scratch vector for local FFT tests that was
224missed in the previous version (reported by SGI).
225</li><li class="li-enumerate">Added Makefile for Blue Gene/P contributed by Vasil Tsanov.
226</li></ol>
227<!--TOC subsection id=sec7 Version 1.4.2 (2012-10-12)-->
228<h3 id="sec7" class="subsection">5.2&#XA0;&#XA0;Version 1.4.2 (2012-10-12)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
229Increased sizes of scratch vectors for local FFT tests to account for
230runs on systems with large main memory (reported by IBM, SGI and Intel).
231</li><li class="li-enumerate">Reduced vector size for local FFT tests due to larger scratch space needed.
232</li><li class="li-enumerate">Added a type cast to prevent overflow of a 32-bit integer vector
233size in FFT data generation routine (reported by IBM).
234</li><li class="li-enumerate">Fixed variable types to handle array sizes that overflow 32-bit
235integers in RandomAccess (reported by IBM and SGI).
236</li><li class="li-enumerate">Changed time-bound code to be used by default in Global RandomAccess and
237allowed for it to be switched off with a compile time flag if necessary.
238</li><li class="li-enumerate">Code cleanup to allow compilation without warnings of RandomAccess test.
239</li><li class="li-enumerate">Changed communication code in PTRANS to avoid large message sizes that
240caused problems in some MPI implementations.
241</li><li class="li-enumerate">Updated documentation in README.txt and README.html files.
242</li></ol>
243<!--TOC subsection id=sec8 Version 1.4.1 (2010-06-01)-->
244<h3 id="sec8" class="subsection">5.3&#XA0;&#XA0;Version 1.4.1 (2010-06-01)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
245Added optimized variants of RandomAccess that use Linear Congruential Generator for random number generation.
246</li><li class="li-enumerate">Made corrections to comments that provide definition of the RandomAccess test.
247</li><li class="li-enumerate">Removed initialization of the main array from the timed section of optimized versions of RandomAccess.
248</li><li class="li-enumerate">Fixed the length of the vector used to compute error when using MPI implementation from FFTW.
249</li><li class="li-enumerate">Added global reduction to error calculation in MPI FFT to achieve more accurate error estimate.
250</li><li class="li-enumerate">Updated documentation in README.
251</li></ol>
252<!--TOC subsection id=sec9 Version 1.4.0 (2010-03-26)-->
253<h3 id="sec9" class="subsection">5.4&#XA0;&#XA0;Version 1.4.0 (2010-03-26)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
254Added new variant of RandomAccess that uses Linear Congruential Generator for random number generation.
255</li><li class="li-enumerate">Rearranged the order of benchmarks so that HPL component runs last and may be aborted
256if the performance of other components was not satisfactory. RandomAccess is now first to assist in tuning
257the code.
258</li><li class="li-enumerate">Added global initialization and finalization routine that allows to properly initialize
259and finalize external software and hardware components without changing the rest of the HPCC testing harness.
260</li><li class="li-enumerate">Lack of <span style="font-family:monospace; color:navy;">hpccinf.txt</span> is no longer reported as error but as a warning.
261</li></ol>
262<!--TOC subsection id=sec10 Version 1.3.2 (2009-03-24)-->
263<h3 id="sec10" class="subsection">5.5&#XA0;&#XA0;Version 1.3.2 (2009-03-24)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
264Fixed memory leaks in G-RandomAccess driver routine.
265</li><li class="li-enumerate">Made the check for 32-bit vector sizes in G-FFT optional. MKL allows for 64-bit vector sizes in its FFTW wrapper.
266</li><li class="li-enumerate">Fixed memory bug in single-process FFT.
267</li><li class="li-enumerate">Update documentation (README).
268</li></ol>
269<!--TOC subsection id=sec11 Version 1.3.1 (2008-12-09)-->
270<h3 id="sec11" class="subsection">5.6&#XA0;&#XA0;Version 1.3.1 (2008-12-09)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
271Fixed a dead-lock problem in FFT component due to use of wrong communicator.
272</li><li class="li-enumerate">Fixed the 32-bit random number generator in PTRANS that was using 64-bit
273routines from HPL.
274</li></ol>
275<!--TOC subsection id=sec12 Version 1.3.0 (2008-11-13)-->
276<h3 id="sec12" class="subsection">5.7&#XA0;&#XA0;Version 1.3.0 (2008-11-13)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
277Updated HPL component to use HPL 2.0 source code
278<ol class="enumerate" type=a><li class="li-enumerate">
279Replaced 32-bit Pseudo Random Number Generator (PRNG) with a 64-bit one.
280</li><li class="li-enumerate">Removed 3 numerical checks of the solution residual with a single one.
281</li><li class="li-enumerate">Added support for 64-bit systems with large memory sizes (before they would
282overflow during index calculations 32-bit integers.)
283</li></ol>
284</li><li class="li-enumerate">Introduced a limit on FFT vector size so they fit in a 32-bit integer (only
285applicable when using FFTW version 2.)
286</li></ol>
287<!--TOC subsection id=sec13 Version 1.2.0 (2007-06-25)-->
288<h3 id="sec13" class="subsection">5.8&#XA0;&#XA0;Version 1.2.0 (2007-06-25)</h3><!--SEC END --><ol class="enumerate" type=1><li class="li-enumerate">
289Changes in the FFT component:
290<ol class="enumerate" type=a><li class="li-enumerate">
291Added flexibility in choosing vector sizes and processor counts:
292now the code can do powers of 2, 3, and 5 both sequentially and in parallel
293tests.
294</li><li class="li-enumerate">FFTW can now run with ESTIMATE (not just MEASURE) flag: it might produce
295worse performance results but often reduces time to run the test and cuases
296less memory fragmentation.
297</li></ol>
298</li><li class="li-enumerate">Changes in the DGEMM component:
299<ol class="enumerate" type=a><li class="li-enumerate">
300Added more comprehensive checking of the numerical properties of the
301test&#X2019;s results.
302</li></ol>
303</li><li class="li-enumerate">Changes in the RandomAccess component:
304<ol class="enumerate" type=a><li class="li-enumerate">
305Removed time-bound functionality: only runs that perform complete
306computation are now possible.
307</li><li class="li-enumerate">Made the timing more accurate: main array initialization is not counted
308towards performance timing.
309</li><li class="li-enumerate">Cleaned up the code: some non-portable C language constructs have been
310removed.
311</li><li class="li-enumerate">Added new algorithms: new algorithms from Sandia based on hypercube
312network topology can now be chosen at compile time which results on much
313better performance results on many types of parallel systems.
314</li><li class="li-enumerate">Fixed potential resource leaks by adding function calls rquired by the MPI
315standard.
316</li></ol>
317</li><li class="li-enumerate">Changes in the HPL component:
318<ol class="enumerate" type=a><li class="li-enumerate">
319Cleaned up reporting of numerics: more accurate printing of scaled
320residual formula.
321</li></ol>
322</li><li class="li-enumerate">Changes in the PTRANS component:
323<ol class="enumerate" type=a><li class="li-enumerate">
324Added randomization of virtual process grids to measure bandwidth of the
325network more accurately.
326</li></ol>
327</li><li class="li-enumerate">Miscellaneous changes:
328<ol class="enumerate" type=a><li class="li-enumerate">
329Added better support for Windows-based clusters by taking advantage of
330Win32 API.
331</li><li class="li-enumerate">Added custom memory allocator to deal with memory fragmentation on some
332systems.
333</li><li class="li-enumerate">Added better reporting of configuration options in the output file.
334</li></ol>
335</li></ol>
336<!--TOC subsection id=sec14 Version 1.0.0 (2005-06-11)-->
337<h3 id="sec14" class="subsection">5.9&#XA0;&#XA0;Version 1.0.0 (2005-06-11)</h3><!--SEC END -->
338<!--TOC subsection id=sec15 Version 0.8beta (2004-10-19)-->
339<h3 id="sec15" class="subsection">5.10&#XA0;&#XA0;Version 0.8beta (2004-10-19)</h3><!--SEC END -->
340<!--TOC subsection id=sec16 Version 0.8alpha (2004-10-15)-->
341<h3 id="sec16" class="subsection">5.11&#XA0;&#XA0;Version 0.8alpha (2004-10-15)</h3><!--SEC END -->
342<!--TOC subsection id=sec17 Version 0.6beta (2004-08-21)-->
343<h3 id="sec17" class="subsection">5.12&#XA0;&#XA0;Version 0.6beta (2004-08-21)</h3><!--SEC END -->
344<!--TOC subsection id=sec18 Version 0.6alpha (2004-05-31)-->
345<h3 id="sec18" class="subsection">5.13&#XA0;&#XA0;Version 0.6alpha (2004-05-31)</h3><!--SEC END -->
346<!--TOC subsection id=sec19 Version 0.5beta (2003-12-01)-->
347<h3 id="sec19" class="subsection">5.14&#XA0;&#XA0;Version 0.5beta (2003-12-01)</h3><!--SEC END -->
348<!--TOC subsection id=sec20 Version 0.4alpha (2003-11-13)-->
349<h3 id="sec20" class="subsection">5.15&#XA0;&#XA0;Version 0.4alpha (2003-11-13)</h3><!--SEC END -->
350<!--TOC subsection id=sec21 Version 0.3alpha (2004-11-05)-->
351<h3 id="sec21" class="subsection">5.16&#XA0;&#XA0;Version 0.3alpha (2004-11-05)</h3><!--SEC END --><!--BEGIN NOTES document-->
352<hr class="footnoterule"><dl class="thefootnotes"><dt class="dt-thefootnotes">
353<a id="note1" href="#text1">*</a></dt><dd class="dd-thefootnotes"><div class="footnotetext">University of Tennessee Knoxville, Innovative
354Computing Laboratory</div>
355</dd></dl>
356<!--END NOTES-->
357<!--CUT END -->
358<!--HTMLFOOT-->
359<!--ENDHTML-->
360<!--FOOTER-->
361<hr style="height:2"><blockquote class="quote"><em>This document was translated from L<sup>A</sup>T<sub>E</sub>X by
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