The benchmark suite was created by the HPC group of Erlangen Regional Computing
Center (RRZE/HPC) [1] and the Chair for System Simulation of FAU (LSS) [2].
-See doc/main.rst or doc/html/main.html subdirectories for rudimentary
+See doc/main.rst or doc/main.html subdirectories for rudimentary
documentation.
# --------------------------------------------------------------------------
#
# Copyright
-# Markus Wittmann, 2016-2017
+# Markus Wittmann, 2016-2018
# RRZE, University of Erlangen-Nuremberg, Germany
# markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
#
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-<div class="document" id="lbm-benchmark-kernels-documentation">
-<h1 class="title">LBM Benchmark Kernels Documentation</h1>
-
-<!-- # - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-#
-# Copyright
-# Markus Wittmann, 2016-2017
-# RRZE, University of Erlangen-Nuremberg, Germany
-# markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
-#
-# Viktor Haag, 2016
-# LSS, University of Erlangen-Nuremberg, Germany
-#
-# This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
-#
-# LbmBenchKernels is free software: you can redistribute it and/or modify
-# it under the terms of the GNU General Public License as published by
-# the Free Software Foundation, either version 3 of the License, or
-# (at your option) any later version.
-#
-# LbmBenchKernels is distributed in the hope that it will be useful,
-# but WITHOUT ANY WARRANTY; without even the implied warranty of
-# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-# GNU General Public License for more details.
-#
-# You should have received a copy of the GNU General Public License
-# along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
-#
-# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -->
-<div class="contents topic" id="contents">
-<p class="topic-title first">Contents</p>
-<ul class="auto-toc simple">
-<li><a class="reference internal" href="#introduction" id="id5">1 Introduction</a></li>
-<li><a class="reference internal" href="#compilation" id="id6">2 Compilation</a><ul class="auto-toc">
-<li><a class="reference internal" href="#debug-and-verification" id="id7">2.1 Debug and Verification</a></li>
-<li><a class="reference internal" href="#release-and-verification" id="id8">2.2 Release and Verification</a></li>
-<li><a class="reference internal" href="#benchmarking" id="id9">2.3 Benchmarking</a></li>
-<li><a class="reference internal" href="#compilers" id="id10">2.4 Compilers</a></li>
-<li><a class="reference internal" href="#cleaning" id="id11">2.5 Cleaning</a></li>
-<li><a class="reference internal" href="#options-summary" id="id12">2.6 Options Summary</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#invocation" id="id13">3 Invocation</a><ul class="auto-toc">
-<li><a class="reference internal" href="#command-line-parameters" id="id14">3.1 Command Line Parameters</a></li>
-<li><a class="reference internal" href="#kernels" id="id15">3.2 Kernels</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#id2" id="id16">4 Benchmarking</a><ul class="auto-toc">
-<li><a class="reference internal" href="#intel-compiler" id="id17">4.1 Intel Compiler</a></li>
-<li><a class="reference internal" href="#pinning" id="id18">4.2 Pinning</a></li>
-<li><a class="reference internal" href="#general-remarks" id="id19">4.3 General Remarks</a></li>
-<li><a class="reference internal" href="#padding" id="id20">4.4 Padding</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#geometries" id="id21">5 Geometries</a></li>
-<li><a class="reference internal" href="#performance-results" id="id22">6 Performance Results</a><ul class="auto-toc">
-<li><a class="reference internal" href="#haswell-intel-xeon-e5-2695-v3" id="id23">6.1 Haswell, Intel Xeon E5-2695 v3</a></li>
-<li><a class="reference internal" href="#broadwell-intel-xeon-e5-2630-v4" id="id24">6.2 Broadwell, Intel Xeon E5-2630 v4</a></li>
-<li><a class="reference internal" href="#skylake-intel-xeon-gold-6148" id="id25">6.3 Skylake, Intel Xeon Gold 6148</a></li>
-</ul>
-</li>
-<li><a class="reference internal" href="#licence" id="id26">7 Licence</a></li>
-<li><a class="reference internal" href="#acknowledgements" id="id27">8 Acknowledgements</a></li>
-<li><a class="reference internal" href="#bibliography" id="id28">9 Bibliography</a></li>
-</ul>
-</div>
-<div class="section" id="introduction">
-<h1><a class="toc-backref" href="#id5">1 Introduction</a></h1>
-<p>The lattice Boltzmann (LBM) benchmark kernels are a collection of LBM kernel
-implementations.</p>
-<p><strong>AS SUCH THE LBM BENCHMARK KERNELS ARE NO FULLY EQUIPPED CFD SOLVER AND SOLELY
-SERVES THE PURPOSE OF STUDYING POSSIBLE PERFORMANCE OPTIMIZATIONS AND/OR
-EXPERIMENTS.</strong></p>
-<p>Currently all kernels utilize a D3Q19 discretization and the
-two-relaxation-time (TRT) collision operator <a class="citation-reference" href="#ginzburg-2008" id="id1">[ginzburg-2008]</a>.
-All operations are carried out in double precision arithmetic.</p>
-</div>
-<div class="section" id="compilation">
-<h1><a class="toc-backref" href="#id6">2 Compilation</a></h1>
-<p>The benchmark framework currently supports only Linux systems and the GCC and
-Intel compilers. Every other configuration probably requires adjustment inside
-the code and the makefiles. Furthermore some code might be platform or at least
-POSIX specific.</p>
-<p>The benchmark can be build via <tt class="docutils literal">make</tt> from the <tt class="docutils literal">src</tt> subdirectory. This will
-generate one binary which hosts all implemented benchmark kernels.</p>
-<p>Binaries are located under the <tt class="docutils literal">bin</tt> subdirectory and will have different names
-depending on compiler and build configuration.</p>
-<p>Compilation can target debug or release builds. Combined with both build types
-verification can be enabled, which increases the runtime and hence is not
-suited for benchmarking.</p>
-<div class="section" id="debug-and-verification">
-<h2><a class="toc-backref" href="#id7">2.1 Debug and Verification</a></h2>
-<pre class="literal-block">
-make BUILD=debug BENCHMARK=off
-</pre>
-<p>Running <tt class="docutils literal">make</tt> with <tt class="docutils literal">BUILD=debug</tt> builds the debug version of
-the benchmark kernels, where no optimizations are performed, line numbers and
-debug symbols are included as well as <tt class="docutils literal">DEBUG</tt> will be defined. The resulting
-binary will be found in the <tt class="docutils literal">bin</tt> subdirectory and named
-<tt class="docutils literal"><span class="pre">lbmbenchk-linux-<compiler>-debug</span></tt>.</p>
-<p>Specifying <tt class="docutils literal">BENCHMARK=off</tt> turns on verification
-(<tt class="docutils literal">VERIFICATION=on</tt>), statistics (<tt class="docutils literal">STATISTICS=on</tt>), and VTK output
-(<tt class="docutils literal">VTK_OUTPUT=on</tt>) enabled.</p>
-<p>Please note that the generated binary will therefore
-exhibit a poor performance.</p>
-</div>
-<div class="section" id="release-and-verification">
-<h2><a class="toc-backref" href="#id8">2.2 Release and Verification</a></h2>
-<p>Verification with the debug builds can be extremely slow. Hence verification
-capabilities can be build with release builds:</p>
-<pre class="literal-block">
-make BENCHMARK=off
-</pre>
-</div>
-<div class="section" id="benchmarking">
-<h2><a class="toc-backref" href="#id9">2.3 Benchmarking</a></h2>
-<p>To generate a binary for benchmarking run make with</p>
-<pre class="literal-block">
-make
-</pre>
-<p>As default <tt class="docutils literal">BENCHMARK=on</tt> and <tt class="docutils literal">BUILD=release</tt> is set, where
-<tt class="docutils literal">BUILD=release</tt> turns optimizations on and <tt class="docutils literal">BENCHMARK=on</tt> disables
-verfification, statistics, and VTK output.</p>
-<p>See Options Summary below for further description of options which can be
-applied, e.g. TARCH as well as the Benchmarking section.</p>
-</div>
-<div class="section" id="compilers">
-<h2><a class="toc-backref" href="#id10">2.4 Compilers</a></h2>
-<p>Currently only the GCC and Intel compiler under Linux are supported. Between
-both configuration can be chosen via <tt class="docutils literal"><span class="pre">CONFIG=linux-gcc</span></tt> or
-<tt class="docutils literal"><span class="pre">CONFIG=linux-intel</span></tt>.</p>
-</div>
-<div class="section" id="cleaning">
-<h2><a class="toc-backref" href="#id11">2.5 Cleaning</a></h2>
-<p>For each configuration and build (debug/release) a subdirectory under the
-<tt class="docutils literal">src/obj</tt> directory is created where the dependency and object files are
-stored.
-With</p>
-<pre class="literal-block">
-make CONFIG=... BUILD=... clean
-</pre>
-<p>a specific combination is select and cleaned, whereas with</p>
-<pre class="literal-block">
-make clean-all
-</pre>
-<p>all object and dependency files are deleted.</p>
-</div>
-<div class="section" id="options-summary">
-<h2><a class="toc-backref" href="#id12">2.6 Options Summary</a></h2>
-<p>Options that can be specified when building the suite with make:</p>
-<table border="1" class="docutils">
-<colgroup>
-<col width="7%" />
-<col width="12%" />
-<col width="6%" />
-<col width="75%" />
-</colgroup>
-<thead valign="bottom">
-<tr><th class="head">name</th>
-<th class="head">values</th>
-<th class="head">default</th>
-<th class="head">description</th>
-</tr>
-</thead>
-<tbody valign="top">
-<tr><td>BENCHMARK</td>
-<td>on, off</td>
-<td>on</td>
-<td>If enabled, disables VERIFICATION, STATISTICS, VTK_OUTPUT. If disabled enables the three former options.</td>
-</tr>
-<tr><td>BUILD</td>
-<td>debug, release</td>
-<td>release</td>
-<td>debug: no optimization, debug symbols, DEBUG defined. release: optimizations enabled.</td>
-</tr>
-<tr><td>CONFIG</td>
-<td>linux-gcc, linux-intel</td>
-<td>linux-intel</td>
-<td>Select GCC or Intel compiler.</td>
-</tr>
-<tr><td>ISA</td>
-<td>avx, sse</td>
-<td>avx</td>
-<td>Determines which ISA extension is used for macro definitions of the intrinsics. This is <em>not</em> the architecture the compiler generates code for.</td>
-</tr>
-<tr><td>OPENMP</td>
-<td>on, off</td>
-<td>on</td>
-<td>OpenMP, i.,e.. threading support.</td>
-</tr>
-<tr><td>STATISTICS</td>
-<td>on, off</td>
-<td>off</td>
-<td>View statistics, like density etc, during simulation.</td>
-</tr>
-<tr><td>TARCH</td>
-<td>--</td>
-<td>--</td>
-<td>Via TARCH the architecture the compiler generates code for can be overridden. The value depends on the chosen compiler.</td>
-</tr>
-<tr><td>VERIFICATION</td>
-<td>on, off</td>
-<td>off</td>
-<td>Turn verification on/off.</td>
-</tr>
-<tr><td>VTK_OUTPUT</td>
-<td>on, off</td>
-<td>off</td>
-<td>Enable/Disable VTK file output.</td>
-</tr>
-</tbody>
-</table>
-</div>
-</div>
-<div class="section" id="invocation">
-<h1><a class="toc-backref" href="#id13">3 Invocation</a></h1>
-<p>Running the binary will print among the GPL licence header a line like the following:</p>
-<pre class="literal-block">
-LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: verification
-</pre>
-<p>if verfication was enabled during compilation or</p>
-<pre class="literal-block">
-LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: benchmark
-</pre>
-<p>if verfication was disabled during compilation.</p>
-<div class="section" id="command-line-parameters">
-<h2><a class="toc-backref" href="#id14">3.1 Command Line Parameters</a></h2>
-<p>Running the binary with <tt class="docutils literal"><span class="pre">-h</span></tt> list all available parameters:</p>
-<pre class="literal-block">
-Usage:
-./lbmbenchk -list
-./lbmbenchk
- [-dims XxYyZ] [-geometry box|channel|pipe|blocks[-<block size>]] [-iterations <iterations>] [-lattice-dump-ascii]
- [-rho-in <density>] [-rho-out <density] [-omega <omega>] [-kernel <kernel>]
- [-periodic-x]
- [-t <number of threads>]
- [-pin core{,core}*]
- [-verify]
- -- <kernel specific parameters>
-
--list List available kernels.
-
--dims XxYxZ Specify geometry dimensions.
-
--geometry blocks-<block size>
- Geometetry with blocks of size <block size> regularily layout out.
-</pre>
-<p>If an option is specified multiple times the last one overrides previous ones.
-This holds also true for <tt class="docutils literal"><span class="pre">-verify</span></tt> which sets geometry dimensions,
-iterations, etc, which can afterward be override, e.g.:</p>
-<pre class="literal-block">
-$ bin/lbmbenchk-linux-intel-release -verfiy -dims 32x32x32
-</pre>
-<p>Kernel specific parameters can be obtained via selecting the specific kernel
-and passing <tt class="docutils literal"><span class="pre">-h</span></tt> as parameter:</p>
-<pre class="literal-block">
-$ bin/lbmbenchk-linux-intel-release -kernel kernel-name -- -h
-...
-Kernel parameters:
-[-blk <n>] [-blk-[xyz] <n>]
-</pre>
-<p>A list of all available kernels can be obtained via <tt class="docutils literal"><span class="pre">-list</span></tt>:</p>
-<pre class="literal-block">
-$ ../bin/lbmbenchk-linux-gcc-debug -list
-Lattice Boltzmann Benchmark Kernels (LbmBenchKernels) Copyright (C) 2016, 2017 LSS, RRZE
-This program comes with ABSOLUTELY NO WARRANTY; for details see LICENSE.
-This is free software, and you are welcome to redistribute it under certain conditions.
-
-LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: verification
-Available kernels to benchmark:
- list-aa-pv-soa
- list-aa-ria-soa
- list-aa-soa
- list-aa-aos
- list-pull-split-nt-1s-soa
- list-pull-split-nt-2s-soa
- list-push-soa
- list-push-aos
- list-pull-soa
- list-pull-aos
- push-soa
- push-aos
- pull-soa
- pull-aos
- blk-push-soa
- blk-push-aos
- blk-pull-soa
- blk-pull-aos
-</pre>
-</div>
-<div class="section" id="kernels">
-<h2><a class="toc-backref" href="#id15">3.2 Kernels</a></h2>
-<p>The following list shortly describes available kernels:</p>
-<ul class="simple">
-<li>push-soa/push-aos/pull-soa/pull-aos:
-Unoptimized kernels (but stream/collide are already fused) using two grids as
-source and destination. Implement push/pull semantics as well structure of
-arrays (soa) or array of structures (aos) layout.</li>
-<li>blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos:
-The same as the unoptimized kernels without the blk prefix, except that they support
-spatial blocking, i.e. loop blocking of the three loops used to iterate over
-the lattice. Here manual work sharing for OpenMP is used.</li>
-<li>list-push-soa/list-push-aos/list-pull-soa/list-pull-aos:
-The same as the unoptimized kernels without the list prefix, but for indirect addressing.
-Here only a 1D vector of is used to store the fluid nodes, omitting the
-obstacles. An adjacency list is used to recover the neighborhood associations.</li>
-<li>list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa:
-Optimized variant of list-pull-soa. Chunks of the lattice are processed as
-once. Postcollision values are written back via nontemporal stores in 18 (1s)
-or 9 (2s) loops.</li>
-<li>list-aa-aos/list-aa-soa:
-Unoptimized implementation of the AA pattern for the 1D vector with adjacency
-list. Supported are array of structures (aos) and structure of arrays (soa)
-data layout is supported.</li>
-<li>list-aa-ria-soa:
-Implementation of AA pattern with intrinsics for the 1D vector with adjacency
-list. Furthermore it contains a vectorized even time step and run length
-coding to reduce the loop balance of the odd time step.</li>
-<li>list-aa-pv-soa:
-All optimizations of list-aa-ria-soa. Additional with partial vectorization
-of the odd time step.</li>
-</ul>
-<p>Note that all array of structures (aos) kernels might require blocking
-(depending on the domain size) to reach the performance of their structure of
-arrays (soa) counter parts.</p>
-<p>The following table summarizes the properties of the kernels. Here <strong>D</strong> means
-direct addressing, i.e. full array, <strong>I</strong> means indirect addressing, i.e. 1D
-vector with adjacency list, <strong>x</strong> means supported, whereas <strong>--</strong> means unsupported.
-The loop balance B_l is computed for D3Q19 model with double precision floating
-point for PDFs (8 byte) and 4 byte integers for the index (adjacency list).
-As list-aa-ria-soa and list-aa-pv-soa support run length coding their effective
-loop balance depends on the geometry. The effective loop balance is printed
-during each run.</p>
-<table border="1" class="docutils">
-<colgroup>
-<col width="29%" />
-<col width="14%" />
-<col width="14%" />
-<col width="6%" />
-<col width="10%" />
-<col width="10%" />
-<col width="16%" />
-</colgroup>
-<thead valign="bottom">
-<tr><th class="head">kernel name</th>
-<th class="head">prop. step</th>
-<th class="head">data layout</th>
-<th class="head">addr.</th>
-<th class="head">parallel</th>
-<th class="head">blocking</th>
-<th class="head">B_l [B/FLUP]</th>
-</tr>
-</thead>
-<tbody valign="top">
-<tr><td>push-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>D</td>
-<td>x</td>
-<td>--</td>
-<td>456</td>
-</tr>
-<tr><td>push-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>D</td>
-<td>x</td>
-<td>--</td>
-<td>456</td>
-</tr>
-<tr><td>pull-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>D</td>
-<td>x</td>
-<td>--</td>
-<td>456</td>
-</tr>
-<tr><td>pull-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>D</td>
-<td>x</td>
-<td>--</td>
-<td>456</td>
-</tr>
-<tr><td>blk-push-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>D</td>
-<td>x</td>
-<td>x</td>
-<td>456</td>
-</tr>
-<tr><td>blk-push-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>D</td>
-<td>x</td>
-<td>x</td>
-<td>456</td>
-</tr>
-<tr><td>blk-pull-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>D</td>
-<td>x</td>
-<td>x</td>
-<td>456</td>
-</tr>
-<tr><td>blk-pull-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>D</td>
-<td>x</td>
-<td>x</td>
-<td>456</td>
-</tr>
-<tr><td>list-push-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>528</td>
-</tr>
-<tr><td>list-push-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>528</td>
-</tr>
-<tr><td>list-pull-soa</td>
-<td>OS</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>528</td>
-</tr>
-<tr><td>list-pull-aos</td>
-<td>OS</td>
-<td>AoS</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>528</td>
-</tr>
-<tr><td>list-pull-split-nt-1s</td>
-<td>OS</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>376</td>
-</tr>
-<tr><td>list-pull-split-nt-2s</td>
-<td>OS</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>376</td>
-</tr>
-<tr><td>list-aa-soa</td>
-<td>AA</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>340</td>
-</tr>
-<tr><td>list-aa-aos</td>
-<td>AA</td>
-<td>AoS</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>340</td>
-</tr>
-<tr><td>list-aa-ria-soa</td>
-<td>AA</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>304-342</td>
-</tr>
-<tr><td>list-aa-pv-soa</td>
-<td>AA</td>
-<td>SoA</td>
-<td>I</td>
-<td>x</td>
-<td>x</td>
-<td>304-342</td>
-</tr>
-</tbody>
-</table>
-</div>
-</div>
-<div class="section" id="id2">
-<h1><a class="toc-backref" href="#id16">4 Benchmarking</a></h1>
-<p>Correct benchmarking is a nontrivial task. Whenever benchmark results should be
-created make sure the binary was compiled with:</p>
-<ul class="simple">
-<li><tt class="docutils literal">BENCHMARK=on</tt> (default if not overriden) and</li>
-<li><tt class="docutils literal">BUILD=release</tt> (default if not overriden) and</li>
-<li>the correct ISA for macros is used, selected via <tt class="docutils literal">ISA</tt> and</li>
-<li>use <tt class="docutils literal">TARCH</tt> to specify the architecture the compiler generates code for.</li>
-</ul>
-<div class="section" id="intel-compiler">
-<h2><a class="toc-backref" href="#id17">4.1 Intel Compiler</a></h2>
-<p>For the Intel compiler one can specify depending on the target ISA extension:</p>
-<ul class="simple">
-<li>AVX: <tt class="docutils literal"><span class="pre">TARCH=-xAVX</span></tt></li>
-<li>AVX2 and FMA: <tt class="docutils literal"><span class="pre">TARCH=-xCORE-AVX2,-fma</span></tt></li>
-<li>AVX512: <tt class="docutils literal"><span class="pre">TARCH=-xCORE-AVX512</span></tt></li>
-<li>KNL: <tt class="docutils literal"><span class="pre">TARCH=-xMIC-AVX512</span></tt></li>
-</ul>
-<p>Compiling for an architecture supporting AVX (Sandy Bridge, Ivy Bridge):</p>
-<pre class="literal-block">
-make ISA=avx TARCH=-xAVX
-</pre>
-<p>Compiling for an architecture supporting AVX2 (Haswell, Broadwell):</p>
-<pre class="literal-block">
-make ISA=avx TARCH=-xCORE-AVX2,-fma
-</pre>
-<p>WARNING: ISA is here still set to <tt class="docutils literal">avx</tt> as currently we have the FMA intrinsics not
-implemented. This might change in the future.</p>
-<p>Compiling for an architecture supporting AVX-512 (Skylake):</p>
-<pre class="literal-block">
-make ISA=avx TARCH=-xCORE-AVX512
-</pre>
-<p>WARNING: ISA is here still set to <tt class="docutils literal">avx</tt> as currently we have no implementation for the
-AVX512 intrinsics. This might change in the future.</p>
-</div>
-<div class="section" id="pinning">
-<h2><a class="toc-backref" href="#id18">4.2 Pinning</a></h2>
-<p>During benchmarking pinning should be used via the <tt class="docutils literal"><span class="pre">-pin</span></tt> parameter. Running
-a benchmark with 10 threads and pin them to the first 10 cores works like</p>
-<pre class="literal-block">
-$ bin/lbmbenchk-linux-intel-release ... -t 10 -pin $(seq -s , 0 9)
-</pre>
-</div>
-<div class="section" id="general-remarks">
-<h2><a class="toc-backref" href="#id19">4.3 General Remarks</a></h2>
-<p>Things the binary does nor check or control:</p>
-<ul class="simple">
-<li>transparent huge pages: when allocating memory small 4 KiB pages might be
-replaced with larger ones. This is in general a good thing, but if this is
-really the case, depends on the system settings (check e.g. the status of
-<tt class="docutils literal">/sys/kernel/mm/transparent_hugepage/enabled</tt>).
-Currently <tt class="docutils literal">madvise(MADV_HUGEPAGE)</tt> is used for allocations which are aligned to
-a 4 KiB page, which should be the case for the lattices.
-This should result in huge pages except THP is disabled on the machine.
-(NOTE: madvise() is used if <tt class="docutils literal">HAVE_HUGE_PAGES</tt> is defined, which is currently
-hard coded defined in <tt class="docutils literal">Memory.c</tt>).</li>
-<li>CPU/core frequency: For reproducible results the frequency of all cores
-should be fixed.</li>
-<li>NUMA placement policy: The benchmark assumes a first touch policy, which
-means the memory will be placed at the NUMA domain the touching core is
-associated with. If a different policy is in place or the NUMA domain to be
-used is already full memory might be allocated in a remote domain. Accesses
-to remote domains typically have a higher latency and lower bandwidth.</li>
-<li>System load: interference with other application, especially on desktop
-systems should be avoided.</li>
-<li>Padding: For SoA based kernels the number of (fluid) nodes is automatically
-adjusted so that no cache or TLB thrashing should occur. The parameters are
-optimized for current Intel based systems. For more details look into the
-padding section.</li>
-<li>CPU dispatcher function: the compiler might add different versions of a
-function for different ISA extensions. Make sure the code you might think is
-executed is actually the code which is executed.</li>
-</ul>
-</div>
-<div class="section" id="padding">
-<h2><a class="toc-backref" href="#id20">4.4 Padding</a></h2>
-<p>With correct padding cache and TLB thrashing can be avoided. Therefore the
-number of (fluid) nodes used in the data layout is artificially increased.</p>
-<p>Currently automatic padding is active for kernels which support it. It can be
-controlled via the kernel parameter (i.e. parameter after the <tt class="docutils literal"><span class="pre">--</span></tt>)
-<tt class="docutils literal"><span class="pre">-pad</span></tt>. Supported values are <tt class="docutils literal">auto</tt> (default), <tt class="docutils literal">no</tt> (to disable padding),
-or a manual padding.</p>
-<p>Automatic padding tries to avoid cache and TLB thrashing and pads for a 32
-entry (huge pages) TLB with 8 sets and a 512 set (L2) cache. This reflects the
-parameters of current Intel based processors.</p>
-<p>Manual padding is done via a padding string and has the format
-<tt class="docutils literal"><span class="pre">mod_1+offset_1(,mod_n+offset_n)</span></tt>, which specifies numbers of bytes.
-SoA data layouts can exhibit TLB thrashing. Therefore we want to distribute the
-19 pages with one lattice (36 with two lattices) we are concurrently accessing
-over as much sets in the TLB as possible.
-This is controlled by the distance between the accessed pages, which is the
-number of (fluid) nodes in between them and can be adjusted by adding further
-(fluid) nodes.
-We want the distance d (in bytes) between two accessed pages to be e.g.
-<strong>d % (PAGE_SIZE * TLB_SETS) = PAGE_SIZE</strong>.
-This would distribute the pages evenly over the sets. Hereby <strong>PAGE_SIZE * TLB_SETS</strong>
-would be our <tt class="docutils literal">mod_1</tt> and <strong>PAGE_SIZE</strong> (after the =) our <tt class="docutils literal">offset_1</tt>.
-Measurements show that with only a quarter of half of a page size as offset
-higher performance is achieved, which is done by automatic padding.
-On top of this padding more paddings can be added. They are just added to the
-padding string and are separated by commas.</p>
-<p>A zero modulus in the padding string has a special meaning. Here the
-corresponding offset is just added to the number of nodes. A padding string
-like <tt class="docutils literal"><span class="pre">-pad</span> 0+16</tt> would at a static padding of two nodes (one node = 8 b).</p>
-</div>
-</div>
-<div class="section" id="geometries">
-<h1><a class="toc-backref" href="#id21">5 Geometries</a></h1>
-<p>TODO: supported geometries: channel, pipe, blocks, fluid</p>
-</div>
-<div class="section" id="performance-results">
-<h1><a class="toc-backref" href="#id22">6 Performance Results</a></h1>
-<p>The sections lists performance values measured on several machines for
-different kernels and geometries.
-The <strong>RFM</strong> column denotes the expected performance as predicted by the
-Roofline performance model <a class="citation-reference" href="#williams-2008" id="id3">[williams-2008]</a>.
-For performance prediction of each kernel a memory bandwidth benchmark is used
-which mimics the kernels memory access pattern and the kernel's loop balance
-(see <a class="citation-reference" href="#kernels" id="id4">[kernels]</a> for details).</p>
-<div class="section" id="haswell-intel-xeon-e5-2695-v3">
-<h2><a class="toc-backref" href="#id23">6.1 Haswell, Intel Xeon E5-2695 v3</a></h2>
-<ul class="simple">
-<li>Haswell architecture, AVX2, FMA</li>
-<li>14 cores, 2,3 GHz</li>
-<li>2 x 7 cores in cluster-on-die (CoD) mode enabled</li>
-<li>SMT enabled</li>
-</ul>
-<p>memory bandwidth:</p>
-<ul class="simple">
-<li>copy-19 47.3 GB/s</li>
-<li>copy-19-nt-sl 47.1 GB/s</li>
-<li>update-19 44.0 GB/s</li>
-</ul>
-<p>geometry dimensions: 500x100x100</p>
-<table border="1" class="docutils">
-<colgroup>
-<col width="19%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="4%" />
-</colgroup>
-<thead valign="bottom">
-<tr><th class="head">kernel</th>
-<th class="head">pipe</th>
-<th class="head">blocks-2</th>
-<th class="head">blocks-4</th>
-<th class="head">blocks-6</th>
-<th class="head">blocks-8</th>
-<th class="head">blocks-10</th>
-<th class="head">blocks-15</th>
-<th class="head">blocks-16</th>
-<th class="head">blocks-20</th>
-<th class="head">blocks-25</th>
-<th class="head">blocks-32</th>
-<th class="head">RFM</th>
-</tr>
-</thead>
-<tbody valign="top">
-<tr><td>blk-push-aos</td>
-<td>58.82</td>
-<td>49.85</td>
-<td>57.34</td>
-<td>59.90</td>
-<td>61.37</td>
-<td>62.17</td>
-<td>65.30</td>
-<td>64.00</td>
-<td>67.54</td>
-<td>64.46</td>
-<td>69.69</td>
-<td>104</td>
-</tr>
-<tr><td>blk-push-soa</td>
-<td>32.32</td>
-<td>33.46</td>
-<td>34.02</td>
-<td>34.64</td>
-<td>35.06</td>
-<td>35.04</td>
-<td>36.31</td>
-<td>35.44</td>
-<td>37.20</td>
-<td>35.14</td>
-<td>37.95</td>
-<td>104</td>
-</tr>
-<tr><td>blk-pull-aos</td>
-<td>56.97</td>
-<td>51.41</td>
-<td>56.09</td>
-<td>57.92</td>
-<td>59.98</td>
-<td>59.83</td>
-<td>63.37</td>
-<td>61.55</td>
-<td>65.50</td>
-<td>63.11</td>
-<td>67.02</td>
-<td>104</td>
-</tr>
-<tr><td>blk-pull-soa</td>
-<td>49.29</td>
-<td>46.23</td>
-<td>47.50</td>
-<td>51.97</td>
-<td>51.27</td>
-<td>49.52</td>
-<td>55.23</td>
-<td>53.13</td>
-<td>54.50</td>
-<td>49.79</td>
-<td>57.90</td>
-<td>104</td>
-</tr>
-<tr><td>aa-aos</td>
-<td>91.35</td>
-<td>66.14</td>
-<td>76.80</td>
-<td>84.76</td>
-<td>83.63</td>
-<td>91.36</td>
-<td>93.46</td>
-<td>92.62</td>
-<td>93.91</td>
-<td>92.25</td>
-<td>92.93</td>
-<td>145</td>
-</tr>
-<tr><td>aa-soa</td>
-<td>75.51</td>
-<td>65.68</td>
-<td>70.94</td>
-<td>71.36</td>
-<td>73.83</td>
-<td>75.46</td>
-<td>74.84</td>
-<td>79.48</td>
-<td>83.28</td>
-<td>77.70</td>
-<td>82.72</td>
-<td>145</td>
-</tr>
-<tr><td>aa-vec-soa</td>
-<td>93.85</td>
-<td>83.44</td>
-<td>91.58</td>
-<td>93.96</td>
-<td>94.35</td>
-<td>96.62</td>
-<td>101.76</td>
-<td>96.72</td>
-<td>106.37</td>
-<td>102.60</td>
-<td>110.28</td>
-<td>145</td>
-</tr>
-<tr><td>list-push-aos</td>
-<td>80.29</td>
-<td>80.97</td>
-<td>80.95</td>
-<td>81.10</td>
-<td>81.37</td>
-<td>82.44</td>
-<td>81.77</td>
-<td>81.49</td>
-<td>80.72</td>
-<td>81.93</td>
-<td>80.93</td>
-<td>83</td>
-</tr>
-<tr><td>list-push-soa</td>
-<td>47.52</td>
-<td>42.65</td>
-<td>45.28</td>
-<td>46.64</td>
-<td>43.46</td>
-<td>40.59</td>
-<td>44.94</td>
-<td>46.55</td>
-<td>41.53</td>
-<td>45.98</td>
-<td>44.86</td>
-<td>83</td>
-</tr>
-<tr><td>list-pull-aos</td>
-<td>85.30</td>
-<td>82.97</td>
-<td>86.43</td>
-<td>83.42</td>
-<td>86.33</td>
-<td>83.70</td>
-<td>86.43</td>
-<td>83.77</td>
-<td>83.10</td>
-<td>85.89</td>
-<td>84.44</td>
-<td>83</td>
-</tr>
-<tr><td>list-pull-soa</td>
-<td>62.12</td>
-<td>63.61</td>
-<td>63.28</td>
-<td>61.32</td>
-<td>66.72</td>
-<td>62.65</td>
-<td>64.82</td>
-<td>60.49</td>
-<td>58.01</td>
-<td>64.46</td>
-<td>62.52</td>
-<td>83</td>
-</tr>
-<tr><td>list-pull-split-nt-1s-soa</td>
-<td>121.35</td>
-<td>113.77</td>
-<td>115.29</td>
-<td>113.54</td>
-<td>117.00</td>
-<td>116.46</td>
-<td>114.78</td>
-<td>114.54</td>
-<td>110.83</td>
-<td>112.67</td>
-<td>117.85</td>
-<td>125</td>
-</tr>
-<tr><td>list-pull-split-nt-2s-soa</td>
-<td>118.09</td>
-<td>110.48</td>
-<td>112.55</td>
-<td>113.18</td>
-<td>113.44</td>
-<td>111.85</td>
-<td>109.27</td>
-<td>114.41</td>
-<td>110.28</td>
-<td>111.78</td>
-<td>113.74</td>
-<td>125</td>
-</tr>
-<tr><td>list-aa-aos</td>
-<td>121.28</td>
-<td>118.63</td>
-<td>119.00</td>
-<td>118.50</td>
-<td>121.99</td>
-<td>119.11</td>
-<td>118.83</td>
-<td>121.47</td>
-<td>121.62</td>
-<td>126.18</td>
-<td>120.12</td>
-<td>129</td>
-</tr>
-<tr><td>list-aa-soa</td>
-<td>126.34</td>
-<td>116.90</td>
-<td>129.45</td>
-<td>127.12</td>
-<td>129.41</td>
-<td>121.42</td>
-<td>126.19</td>
-<td>126.76</td>
-<td>126.70</td>
-<td>124.40</td>
-<td>125.22</td>
-<td>129</td>
-</tr>
-<tr><td>list-aa-ria-soa</td>
-<td>133.68</td>
-<td>121.82</td>
-<td>126.04</td>
-<td>128.46</td>
-<td>131.15</td>
-<td>132.25</td>
-<td>128.78</td>
-<td>133.50</td>
-<td>126.69</td>
-<td>124.40</td>
-<td>130.37</td>
-<td>145</td>
-</tr>
-<tr><td>list-aa-pv-soa</td>
-<td>146.22</td>
-<td>124.39</td>
-<td>130.73</td>
-<td>136.29</td>
-<td>137.61</td>
-<td>131.21</td>
-<td>138.65</td>
-<td>138.78</td>
-<td>127.02</td>
-<td>132.40</td>
-<td>138.37</td>
-<td>145</td>
-</tr>
-</tbody>
-</table>
-</div>
-<div class="section" id="broadwell-intel-xeon-e5-2630-v4">
-<h2><a class="toc-backref" href="#id24">6.2 Broadwell, Intel Xeon E5-2630 v4</a></h2>
-<ul class="simple">
-<li>Broadwell architecture, AVX2, FMA</li>
-<li>10 cores, 2.2 GHz</li>
-<li>SMT disabled</li>
-</ul>
-<p>memory bandwidth:</p>
-<ul class="simple">
-<li>copy-19 48.0 GB/s</li>
-<li>copy-nt-sl-19 48.2 GB/s</li>
-<li>update-19 51.1 GB/s</li>
-</ul>
-<p>geometry dimensions: 500x100x100</p>
-<table border="1" class="docutils">
-<colgroup>
-<col width="19%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="5%" />
-</colgroup>
-<thead valign="bottom">
-<tr><th class="head">kernel</th>
-<th class="head">pipe</th>
-<th class="head">blocks-2</th>
-<th class="head">blocks-4</th>
-<th class="head">blocks-6</th>
-<th class="head">blocks-8</th>
-<th class="head">blocks-10</th>
-<th class="head">blocks-15</th>
-<th class="head">blocks-16</th>
-<th class="head">blocks-20</th>
-<th class="head">blocks-25</th>
-<th class="head">blocks-32</th>
-<th class="head">RFM</th>
-</tr>
-</thead>
-<tbody valign="top">
-<tr><td>blk-push-aos</td>
-<td>55.75</td>
-<td>47.62</td>
-<td>54.57</td>
-<td>57.10</td>
-<td>58.49</td>
-<td>59.00</td>
-<td>61.72</td>
-<td>60.56</td>
-<td>64.05</td>
-<td>61.10</td>
-<td>66.03</td>
-<td>105</td>
-</tr>
-<tr><td>blk-push-soa</td>
-<td>30.06</td>
-<td>31.09</td>
-<td>32.13</td>
-<td>32.54</td>
-<td>32.74</td>
-<td>32.72</td>
-<td>33.81</td>
-<td>33.19</td>
-<td>34.90</td>
-<td>33.21</td>
-<td>35.75</td>
-<td>105</td>
-</tr>
-<tr><td>blk-pull-aos</td>
-<td>53.80</td>
-<td>48.61</td>
-<td>53.08</td>
-<td>54.99</td>
-<td>56.08</td>
-<td>56.68</td>
-<td>59.20</td>
-<td>58.12</td>
-<td>61.49</td>
-<td>58.71</td>
-<td>63.45</td>
-<td>105</td>
-</tr>
-<tr><td>blk-pull-soa</td>
-<td>46.96</td>
-<td>46.61</td>
-<td>48.84</td>
-<td>49.70</td>
-<td>50.33</td>
-<td>50.46</td>
-<td>52.36</td>
-<td>51.39</td>
-<td>54.20</td>
-<td>51.61</td>
-<td>55.71</td>
-<td>105</td>
-</tr>
-<tr><td>aa-aos</td>
-<td>91.40</td>
-<td>66.99</td>
-<td>78.47</td>
-<td>83.38</td>
-<td>86.62</td>
-<td>88.62</td>
-<td>92.98</td>
-<td>91.54</td>
-<td>97.08</td>
-<td>94.93</td>
-<td>98.90</td>
-<td>168</td>
-</tr>
-<tr><td>aa-soa</td>
-<td>83.01</td>
-<td>69.96</td>
-<td>75.85</td>
-<td>77.72</td>
-<td>79.01</td>
-<td>79.29</td>
-<td>82.38</td>
-<td>80.11</td>
-<td>85.70</td>
-<td>83.91</td>
-<td>87.69</td>
-<td>168</td>
-</tr>
-<tr><td>aa-vec-soa</td>
-<td>112.03</td>
-<td>96.52</td>
-<td>105.32</td>
-<td>109.76</td>
-<td>112.55</td>
-<td>113.82</td>
-<td>120.55</td>
-<td>118.37</td>
-<td>126.30</td>
-<td>121.37</td>
-<td>131.94</td>
-<td>168</td>
-</tr>
-<tr><td>list-push-aos</td>
-<td>75.13</td>
-<td>74.18</td>
-<td>75.20</td>
-<td>75.42</td>
-<td>75.24</td>
-<td>75.99</td>
-<td>75.80</td>
-<td>75.80</td>
-<td>75.54</td>
-<td>76.22</td>
-<td>76.21</td>
-<td>97</td>
-</tr>
-<tr><td>list-push-soa</td>
-<td>40.99</td>
-<td>38.14</td>
-<td>39.00</td>
-<td>38.89</td>
-<td>38.89</td>
-<td>39.67</td>
-<td>39.87</td>
-<td>39.28</td>
-<td>39.35</td>
-<td>40.08</td>
-<td>40.13</td>
-<td>97</td>
-</tr>
-<tr><td>list-pull-aos</td>
-<td>82.07</td>
-<td>82.88</td>
-<td>83.29</td>
-<td>83.09</td>
-<td>83.32</td>
-<td>83.49</td>
-<td>82.82</td>
-<td>82.88</td>
-<td>83.32</td>
-<td>82.60</td>
-<td>82.93</td>
-<td>97</td>
-</tr>
-<tr><td>list-pull-soa</td>
-<td>62.07</td>
-<td>60.40</td>
-<td>61.89</td>
-<td>61.39</td>
-<td>62.43</td>
-<td>60.90</td>
-<td>60.48</td>
-<td>62.80</td>
-<td>62.50</td>
-<td>61.10</td>
-<td>60.38</td>
-<td>97</td>
-</tr>
-<tr><td>list-pull-split-nt-1s-soa</td>
-<td>125.81</td>
-<td>120.60</td>
-<td>121.96</td>
-<td>122.34</td>
-<td>122.86</td>
-<td>123.53</td>
-<td>123.64</td>
-<td>123.67</td>
-<td>125.94</td>
-<td>124.09</td>
-<td>123.69</td>
-<td>128</td>
-</tr>
-<tr><td>list-pull-split-nt-2s-soa</td>
-<td>122.79</td>
-<td>117.16</td>
-<td>118.86</td>
-<td>119.16</td>
-<td>119.56</td>
-<td>119.99</td>
-<td>120.01</td>
-<td>120.03</td>
-<td>122.64</td>
-<td>120.57</td>
-<td>120.39</td>
-<td>128</td>
-</tr>
-<tr><td>list-aa-aos</td>
-<td>128.13</td>
-<td>127.41</td>
-<td>129.31</td>
-<td>129.07</td>
-<td>129.79</td>
-<td>129.63</td>
-<td>129.67</td>
-<td>129.94</td>
-<td>129.12</td>
-<td>128.41</td>
-<td>129.72</td>
-<td>150</td>
-</tr>
-<tr><td>list-aa-soa</td>
-<td>141.60</td>
-<td>139.78</td>
-<td>141.58</td>
-<td>142.16</td>
-<td>141.94</td>
-<td>141.31</td>
-<td>142.37</td>
-<td>142.25</td>
-<td>142.43</td>
-<td>141.40</td>
-<td>142.26</td>
-<td>150</td>
-</tr>
-<tr><td>list-aa-ria-soa</td>
-<td>141.82</td>
-<td>134.88</td>
-<td>140.15</td>
-<td>140.72</td>
-<td>141.67</td>
-<td>140.51</td>
-<td>141.18</td>
-<td>141.29</td>
-<td>142.97</td>
-<td>141.94</td>
-<td>143.25</td>
-<td>168</td>
-</tr>
-<tr><td>list-aa-pv-soa</td>
-<td>164.79</td>
-<td>140.95</td>
-<td>159.24</td>
-<td>161.78</td>
-<td>162.40</td>
-<td>163.04</td>
-<td>164.69</td>
-<td>164.38</td>
-<td>165.11</td>
-<td>165.75</td>
-<td>166.09</td>
-<td>168</td>
-</tr>
-</tbody>
-</table>
-</div>
-<div class="section" id="skylake-intel-xeon-gold-6148">
-<h2><a class="toc-backref" href="#id25">6.3 Skylake, Intel Xeon Gold 6148</a></h2>
-<ul class="simple">
-<li>Skylake architecture, AVX2, FMA, AVX512</li>
-<li>20 cores, 2.4 GHz</li>
-<li>SMT enabled</li>
-</ul>
-<p>memory bandwidth:</p>
-<ul class="simple">
-<li>copy-19 89.7 GB/s</li>
-<li>copy-19-nt-sl 92.4 GB/s</li>
-<li>update-19 93.6 GB/s</li>
-</ul>
-<p>geometry dimensions: 500x100x100</p>
-<table border="1" class="docutils">
-<colgroup>
-<col width="20%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="7%" />
-<col width="2%" />
-</colgroup>
-<thead valign="bottom">
-<tr><th class="head">kernel</th>
-<th class="head">pipe</th>
-<th class="head">blocks-2</th>
-<th class="head">blocks-4</th>
-<th class="head">blocks-6</th>
-<th class="head">blocks-8</th>
-<th class="head">blocks-10</th>
-<th class="head">blocks-15</th>
-<th class="head">blocks-16</th>
-<th class="head">blocks-20</th>
-<th class="head">blocks-25</th>
-<th class="head">blocks-32</th>
-<th class="head">RFM</th>
-</tr>
-</thead>
-<tbody valign="top">
-<tr><td>blk-push-aos</td>
-<td>113.01</td>
-<td>93.99</td>
-<td>108.98</td>
-<td>114.65</td>
-<td>117.87</td>
-<td>119.47</td>
-<td>124.95</td>
-<td>122.46</td>
-<td>129.29</td>
-<td>123.87</td>
-<td>133.01</td>
-<td>197</td>
-</tr>
-<tr><td>blk-push-soa</td>
-<td>100.21</td>
-<td>98.87</td>
-<td>103.63</td>
-<td>105.56</td>
-<td>107.02</td>
-<td>107.27</td>
-<td>111.61</td>
-<td>109.83</td>
-<td>116.16</td>
-<td>110.51</td>
-<td>110.29</td>
-<td>197</td>
-</tr>
-<tr><td>blk-pull-aos</td>
-<td>118.45</td>
-<td>102.54</td>
-<td>114.12</td>
-<td>117.82</td>
-<td>122.69</td>
-<td>124.31</td>
-<td>130.58</td>
-<td>127.85</td>
-<td>135.72</td>
-<td>129.65</td>
-<td>139.94</td>
-<td>197</td>
-</tr>
-<tr><td>blk-pull-soa</td>
-<td>82.60</td>
-<td>83.36</td>
-<td>87.13</td>
-<td>88.39</td>
-<td>88.84</td>
-<td>88.96</td>
-<td>92.48</td>
-<td>90.93</td>
-<td>95.79</td>
-<td>91.92</td>
-<td>98.64</td>
-<td>197</td>
-</tr>
-<tr><td>aa-aos</td>
-<td>171.32</td>
-<td>125.43</td>
-<td>147.73</td>
-<td>157.70</td>
-<td>163.35</td>
-<td>167.25</td>
-<td>175.39</td>
-<td>174.20</td>
-<td>182.54</td>
-<td>173.67</td>
-<td>187.76</td>
-<td>308</td>
-</tr>
-<tr><td>aa-soa</td>
-<td>180.85</td>
-<td>152.39</td>
-<td>165.84</td>
-<td>152.59</td>
-<td>171.90</td>
-<td>175.76</td>
-<td>184.94</td>
-<td>182.34</td>
-<td>189.43</td>
-<td>180.30</td>
-<td>193.54</td>
-<td>308</td>
-</tr>
-<tr><td>aa-vec-soa</td>
-<td>208.03</td>
-<td>181.51</td>
-<td>195.86</td>
-<td>203.41</td>
-<td>209.08</td>
-<td>212.34</td>
-<td>224.05</td>
-<td>219.49</td>
-<td>234.31</td>
-<td>225.92</td>
-<td>245.22</td>
-<td>308</td>
-</tr>
-<tr><td>list-push-aos</td>
-<td>158.81</td>
-<td>164.67</td>
-<td>162.93</td>
-<td>163.05</td>
-<td>165.22</td>
-<td>164.31</td>
-<td>164.66</td>
-<td>160.78</td>
-<td>164.07</td>
-<td>165.19</td>
-<td>164.06</td>
-<td>177</td>
-</tr>
-<tr><td>list-push-soa</td>
-<td>134.60</td>
-<td>110.44</td>
-<td>110.17</td>
-<td>132.01</td>
-<td>132.95</td>
-<td>133.46</td>
-<td>134.37</td>
-<td>134.33</td>
-<td>135.12</td>
-<td>134.91</td>
-<td>137.87</td>
-<td>177</td>
-</tr>
-<tr><td>list-pull-aos</td>
-<td>169.61</td>
-<td>170.03</td>
-<td>170.89</td>
-<td>170.90</td>
-<td>171.20</td>
-<td>171.60</td>
-<td>172.09</td>
-<td>171.95</td>
-<td>169.48</td>
-<td>172.08</td>
-<td>171.02</td>
-<td>177</td>
-</tr>
-<tr><td>list-pull-soa</td>
-<td>120.50</td>
-<td>116.73</td>
-<td>118.62</td>
-<td>118.00</td>
-<td>120.99</td>
-<td>118.15</td>
-<td>117.17</td>
-<td>121.41</td>
-<td>120.83</td>
-<td>120.00</td>
-<td>118.74</td>
-<td>177</td>
-</tr>
-<tr><td>list-pull-split-nt-1s-soa</td>
-<td>225.59</td>
-<td>224.18</td>
-<td>225.10</td>
-<td>226.34</td>
-<td>226.01</td>
-<td>230.37</td>
-<td>227.50</td>
-<td>228.42</td>
-<td>227.39</td>
-<td>231.65</td>
-<td>227.35</td>
-<td>246</td>
-</tr>
-<tr><td>list-pull-split-nt-2s-soa</td>
-<td>219.20</td>
-<td>214.63</td>
-<td>217.61</td>
-<td>218.13</td>
-<td>219.07</td>
-<td>221.01</td>
-<td>219.88</td>
-<td>220.09</td>
-<td>220.62</td>
-<td>221.68</td>
-<td>220.58</td>
-<td>246</td>
-</tr>
-<tr><td>list-aa-aos</td>
-<td>241.39</td>
-<td>239.27</td>
-<td>239.53</td>
-<td>242.56</td>
-<td>242.46</td>
-<td>243.00</td>
-<td>242.91</td>
-<td>242.46</td>
-<td>241.24</td>
-<td>242.96</td>
-<td>241.52</td>
-<td>275</td>
-</tr>
-<tr><td>list-aa-soa</td>
-<td>273.73</td>
-<td>268.49</td>
-<td>268.48</td>
-<td>271.79</td>
-<td>275.29</td>
-<td>274.56</td>
-<td>277.18</td>
-<td>272.67</td>
-<td>274.21</td>
-<td>275.24</td>
-<td>278.21</td>
-<td>275</td>
-</tr>
-<tr><td>list-aa-ria-soa</td>
-<td>288.42</td>
-<td>261.89</td>
-<td>273.26</td>
-<td>284.84</td>
-<td>283.88</td>
-<td>288.29</td>
-<td>290.72</td>
-<td>289.81</td>
-<td>293.36</td>
-<td>290.75</td>
-<td>292.93</td>
-<td>308</td>
-</tr>
-<tr><td>list-aa-pv-soa</td>
-<td>303.35</td>
-<td>267.21</td>
-<td>289.18</td>
-<td>294.96</td>
-<td>294.36</td>
-<td>298.16</td>
-<td>300.45</td>
-<td>301.71</td>
-<td>302.37</td>
-<td>302.88</td>
-<td>304.46</td>
-<td>308</td>
-</tr>
-</tbody>
-</table>
-</div>
-</div>
-<div class="section" id="licence">
-<h1><a class="toc-backref" href="#id26">7 Licence</a></h1>
-<p>The Lattice Boltzmann Benchmark Kernels are licensed under GPLv3.</p>
-</div>
-<div class="section" id="acknowledgements">
-<h1><a class="toc-backref" href="#id27">8 Acknowledgements</a></h1>
-<p>This work was funded by BMBF, grant no. 01IH15003A (project SKAMPY).</p>
-<p>This work was funded by KONWHIR project OMI4PAPS.</p>
-</div>
-<div class="section" id="bibliography">
-<h1><a class="toc-backref" href="#id28">9 Bibliography</a></h1>
-<table class="docutils citation" frame="void" id="ginzburg-2008" rules="none">
-<colgroup><col class="label" /><col /></colgroup>
-<tbody valign="top">
-<tr><td class="label"><a class="fn-backref" href="#id1">[ginzburg-2008]</a></td><td>I. Ginzburg, F. Verhaeghe, and D. d'Humières.
-Two-relaxation-time lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions.
-Commun. Comput. Phys., 3(2):427-478, 2008.</td></tr>
-</tbody>
-</table>
-<table class="docutils citation" frame="void" id="williams-2008" rules="none">
-<colgroup><col class="label" /><col /></colgroup>
-<tbody valign="top">
-<tr><td class="label"><a class="fn-backref" href="#id3">[williams-2008]</a></td><td>S. Williams, A. Waterman, and D. Patterson.
-Roofline: an insightful visual performance model for multicore architectures.
-Commun. ACM, 52(4):65-76, Apr 2009. doi:10.1145/1498765.1498785</td></tr>
-</tbody>
-</table>
-<p>Document was generated at 2017-11-21 15:43.</p>
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+<body>
+<div class="document">
+
+
+<div class="line-block">
+<div class="line">Copyright</div>
+<div class="line-block">
+<div class="line">Markus Wittmann, 2016-2018</div>
+<div class="line">RRZE, University of Erlangen-Nuremberg, Germany</div>
+<div class="line">markus.wittmann -at- fau.de or hpc -at- rrze.fau.de</div>
+<div class="line"><br /></div>
+<div class="line">Viktor Haag, 2016</div>
+<div class="line">LSS, University of Erlangen-Nuremberg, Germany</div>
+<div class="line"><br /></div>
+</div>
+<div class="line">This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).</div>
+<div class="line"><br /></div>
+<div class="line">LbmBenchKernels is free software: you can redistribute it and/or modify</div>
+<div class="line">it under the terms of the GNU General Public License as published by</div>
+<div class="line">the Free Software Foundation, either version 3 of the License, or</div>
+<div class="line">(at your option) any later version.</div>
+<div class="line"><br /></div>
+<div class="line">LbmBenchKernels is distributed in the hope that it will be useful,</div>
+<div class="line">but WITHOUT ANY WARRANTY; without even the implied warranty of</div>
+<div class="line">MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</div>
+<div class="line">GNU General Public License for more details.</div>
+<div class="line"><br /></div>
+<div class="line">You should have received a copy of the GNU General Public License</div>
+<div class="line">along with LbmBenchKernels. If not, see <<a class="reference external" href="http://www.gnu.org/licenses/">http://www.gnu.org/licenses/</a>>.</div>
+</div>
+<p><strong>LBM Benchmark Kernels Documentation</strong></p>
+<div class="contents topic" id="contents">
+<p class="topic-title first">Contents</p>
+<ul class="auto-toc simple">
+<li><a class="reference internal" href="#introduction" id="id5">1 Introduction</a></li>
+<li><a class="reference internal" href="#compilation" id="id6">2 Compilation</a><ul class="auto-toc">
+<li><a class="reference internal" href="#debug-and-verification" id="id7">2.1 Debug and Verification</a></li>
+<li><a class="reference internal" href="#release-and-verification" id="id8">2.2 Release and Verification</a></li>
+<li><a class="reference internal" href="#benchmarking" id="id9">2.3 Benchmarking</a></li>
+<li><a class="reference internal" href="#compilers" id="id10">2.4 Compilers</a></li>
+<li><a class="reference internal" href="#floating-point-precision" id="id11">2.5 Floating Point Precision</a></li>
+<li><a class="reference internal" href="#cleaning" id="id12">2.6 Cleaning</a></li>
+<li><a class="reference internal" href="#options-summary" id="id13">2.7 Options Summary</a></li>
+</ul>
+</li>
+<li><a class="reference internal" href="#invocation" id="id14">3 Invocation</a><ul class="auto-toc">
+<li><a class="reference internal" href="#command-line-parameters" id="id15">3.1 Command Line Parameters</a></li>
+<li><a class="reference internal" href="#kernels" id="id16">3.2 Kernels</a></li>
+</ul>
+</li>
+<li><a class="reference internal" href="#id2" id="id17">4 Benchmarking</a><ul class="auto-toc">
+<li><a class="reference internal" href="#intel-compiler" id="id18">4.1 Intel Compiler</a></li>
+<li><a class="reference internal" href="#pinning" id="id19">4.2 Pinning</a></li>
+<li><a class="reference internal" href="#general-remarks" id="id20">4.3 General Remarks</a></li>
+<li><a class="reference internal" href="#padding" id="id21">4.4 Padding</a></li>
+</ul>
+</li>
+<li><a class="reference internal" href="#geometries" id="id22">5 Geometries</a></li>
+<li><a class="reference internal" href="#performance-results" id="id23">6 Performance Results</a><ul class="auto-toc">
+<li><a class="reference internal" href="#machine-specifications" id="id24">6.1 Machine Specifications</a></li>
+<li><a class="reference internal" href="#single-socket-results" id="id25">6.2 Single Socket Results</a></li>
+</ul>
+</li>
+<li><a class="reference internal" href="#licence" id="id26">7 Licence</a></li>
+<li><a class="reference internal" href="#acknowledgements" id="id27">8 Acknowledgements</a></li>
+<li><a class="reference internal" href="#bibliography" id="id28">9 Bibliography</a></li>
+</ul>
+</div>
+<div class="section" id="introduction">
+<h1><a class="toc-backref" href="#id5">1 Introduction</a></h1>
+<p>The lattice Boltzmann (LBM) benchmark kernels are a collection of LBM kernel
+implementations.</p>
+<p><strong>AS SUCH THE LBM BENCHMARK KERNELS ARE NO FULLY EQUIPPED CFD SOLVER AND SOLELY
+SERVES THE PURPOSE OF STUDYING POSSIBLE PERFORMANCE OPTIMIZATIONS AND/OR
+EXPERIMENTS.</strong></p>
+<p>Currently all kernels utilize a D3Q19 discretization and the
+two-relaxation-time (TRT) collision operator <a class="citation-reference" href="#ginzburg-2008" id="id1">[ginzburg-2008]</a>.
+All operations are carried out in double or single precision arithmetic.</p>
+</div>
+<div class="section" id="compilation">
+<h1><a class="toc-backref" href="#id6">2 Compilation</a></h1>
+<p>The benchmark framework currently supports only Linux systems and the GCC and
+Intel compilers. Every other configuration probably requires adjustment inside
+the code and the makefiles. Furthermore some code might be platform or at least
+POSIX specific.</p>
+<p>The benchmark can be build via <tt class="docutils literal">make</tt> from the <tt class="docutils literal">src</tt> subdirectory. This will
+generate one binary which hosts all implemented benchmark kernels.</p>
+<p>Binaries are located under the <tt class="docutils literal">bin</tt> subdirectory and will have different names
+depending on compiler and build configuration.</p>
+<p>Compilation can target debug or release builds. Combined with both build types
+verification can be enabled, which increases the runtime and hence is not
+suited for benchmarking.</p>
+<div class="section" id="debug-and-verification">
+<h2><a class="toc-backref" href="#id7">2.1 Debug and Verification</a></h2>
+<pre class="literal-block">
+make BUILD=debug BENCHMARK=off
+</pre>
+<p>Running <tt class="docutils literal">make</tt> with <tt class="docutils literal">BUILD=debug</tt> builds the debug version of
+the benchmark kernels, where no optimizations are performed, line numbers and
+debug symbols are included as well as <tt class="docutils literal">DEBUG</tt> will be defined. The resulting
+binary will be found in the <tt class="docutils literal">bin</tt> subdirectory and named
+<tt class="docutils literal"><span class="pre">lbmbenchk-linux-<compiler>-debug</span></tt>.</p>
+<p>Specifying <tt class="docutils literal">BENCHMARK=off</tt> turns on verification
+(<tt class="docutils literal">VERIFICATION=on</tt>), statistics (<tt class="docutils literal">STATISTICS=on</tt>), and VTK output
+(<tt class="docutils literal">VTK_OUTPUT=on</tt>) enabled.</p>
+<p>Please note that the generated binary will therefore
+exhibit a poor performance.</p>
+</div>
+<div class="section" id="release-and-verification">
+<h2><a class="toc-backref" href="#id8">2.2 Release and Verification</a></h2>
+<p>Verification with the debug builds can be extremely slow. Hence verification
+capabilities can be build with release builds:</p>
+<pre class="literal-block">
+make BENCHMARK=off
+</pre>
+</div>
+<div class="section" id="benchmarking">
+<h2><a class="toc-backref" href="#id9">2.3 Benchmarking</a></h2>
+<p>To generate a binary for benchmarking run make with</p>
+<pre class="literal-block">
+make
+</pre>
+<p>As default <tt class="docutils literal">BENCHMARK=on</tt> and <tt class="docutils literal">BUILD=release</tt> is set, where
+<tt class="docutils literal">BUILD=release</tt> turns optimizations on and <tt class="docutils literal">BENCHMARK=on</tt> disables
+verfification, statistics, and VTK output.</p>
+<p>See Options Summary below for further description of options which can be
+applied, e.g. TARCH as well as the Benchmarking section.</p>
+</div>
+<div class="section" id="compilers">
+<h2><a class="toc-backref" href="#id10">2.4 Compilers</a></h2>
+<p>Currently only the GCC and Intel compiler under Linux are supported. Between
+both configuration can be chosen via <tt class="docutils literal"><span class="pre">CONFIG=linux-gcc</span></tt> or
+<tt class="docutils literal"><span class="pre">CONFIG=linux-intel</span></tt>.</p>
+</div>
+<div class="section" id="floating-point-precision">
+<h2><a class="toc-backref" href="#id11">2.5 Floating Point Precision</a></h2>
+<p>As default double precision data types are used for storing PDFs and floating
+point constants. Furthermore, this is the default for the intrincis kernels.
+With the <tt class="docutils literal">PRECISION=sp</tt> variable this can be changed to single precision.</p>
+<pre class="literal-block">
+make PRECISION=sp # build for single precision kernels
+
+make PRECISION=dp # build for double precision kernels (defalt)
+</pre>
+</div>
+<div class="section" id="cleaning">
+<h2><a class="toc-backref" href="#id12">2.6 Cleaning</a></h2>
+<p>For each configuration and build (debug/release) a subdirectory under the
+<tt class="docutils literal">src/obj</tt> directory is created where the dependency and object files are
+stored.
+With</p>
+<pre class="literal-block">
+make CONFIG=... BUILD=... clean
+</pre>
+<p>a specific combination is select and cleaned, whereas with</p>
+<pre class="literal-block">
+make clean-all
+</pre>
+<p>all object and dependency files are deleted.</p>
+</div>
+<div class="section" id="options-summary">
+<h2><a class="toc-backref" href="#id13">2.7 Options Summary</a></h2>
+<p>Options that can be specified when building the suite with make:</p>
+<table border="1" class="docutils">
+<colgroup>
+<col width="7%" />
+<col width="12%" />
+<col width="6%" />
+<col width="75%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head">name</th>
+<th class="head">values</th>
+<th class="head">default</th>
+<th class="head">description</th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td>BENCHMARK</td>
+<td>on, off</td>
+<td>on</td>
+<td>If enabled, disables VERIFICATION, STATISTICS, VTK_OUTPUT. If disabled enables the three former options.</td>
+</tr>
+<tr><td>BUILD</td>
+<td>debug, release</td>
+<td>release</td>
+<td>debug: no optimization, debug symbols, DEBUG defined. release: optimizations enabled.</td>
+</tr>
+<tr><td>CONFIG</td>
+<td>linux-gcc, linux-intel</td>
+<td>linux-intel</td>
+<td>Select GCC or Intel compiler.</td>
+</tr>
+<tr><td>ISA</td>
+<td>avx, sse</td>
+<td>avx</td>
+<td>Determines which ISA extension is used for macro definitions of the intrinsics. This is <em>not</em> the architecture the compiler generates code for.</td>
+</tr>
+<tr><td>OPENMP</td>
+<td>on, off</td>
+<td>on</td>
+<td>OpenMP, i.,e.. threading support.</td>
+</tr>
+<tr><td>PRECISION</td>
+<td>dp, sp</td>
+<td>dp</td>
+<td>Floating point precision used for data type, arithmetic, and intrincics.</td>
+</tr>
+<tr><td>STATISTICS</td>
+<td>on, off</td>
+<td>off</td>
+<td>View statistics, like density etc, during simulation.</td>
+</tr>
+<tr><td>TARCH</td>
+<td>--</td>
+<td>--</td>
+<td>Via TARCH the architecture the compiler generates code for can be overridden. The value depends on the chosen compiler.</td>
+</tr>
+<tr><td>VERIFICATION</td>
+<td>on, off</td>
+<td>off</td>
+<td>Turn verification on/off.</td>
+</tr>
+<tr><td>VTK_OUTPUT</td>
+<td>on, off</td>
+<td>off</td>
+<td>Enable/Disable VTK file output.</td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+<div class="section" id="invocation">
+<h1><a class="toc-backref" href="#id14">3 Invocation</a></h1>
+<p>Running the binary will print among the GPL licence header a line like the following:</p>
+<pre class="literal-block">
+LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: verification
+</pre>
+<p>if verfication was enabled during compilation or</p>
+<pre class="literal-block">
+LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: benchmark
+</pre>
+<p>if verfication was disabled during compilation.</p>
+<div class="section" id="command-line-parameters">
+<h2><a class="toc-backref" href="#id15">3.1 Command Line Parameters</a></h2>
+<p>Running the binary with <tt class="docutils literal"><span class="pre">-h</span></tt> list all available parameters:</p>
+<pre class="literal-block">
+Usage:
+./lbmbenchk -list
+./lbmbenchk
+ [-dims XxYyZ] [-geometry box|channel|pipe|blocks[-<block size>]] [-iterations <iterations>] [-lattice-dump-ascii]
+ [-rho-in <density>] [-rho-out <density] [-omega <omega>] [-kernel <kernel>]
+ [-periodic-x]
+ [-t <number of threads>]
+ [-pin core{,core}*]
+ [-verify]
+ -- <kernel specific parameters>
+
+-list List available kernels.
+
+-dims XxYxZ Specify geometry dimensions.
+
+-geometry blocks-<block size>
+ Geometetry with blocks of size <block size> regularily layout out.
+</pre>
+<p>If an option is specified multiple times the last one overrides previous ones.
+This holds also true for <tt class="docutils literal"><span class="pre">-verify</span></tt> which sets geometry dimensions,
+iterations, etc, which can afterward be override, e.g.:</p>
+<pre class="literal-block">
+$ bin/lbmbenchk-linux-intel-release-dp -verfiy -dims 32x32x32
+</pre>
+<p>Kernel specific parameters can be obtained via selecting the specific kernel
+and passing <tt class="docutils literal"><span class="pre">-h</span></tt> as parameter:</p>
+<pre class="literal-block">
+$ bin/lbmbenchk-linux-intel-release-dp -kernel kernel-name -- -h
+...
+Kernel parameters:
+[-blk <n>] [-blk-[xyz] <n>]
+</pre>
+<p>A list of all available kernels can be obtained via <tt class="docutils literal"><span class="pre">-list</span></tt>:</p>
+<pre class="literal-block">
+$ ../bin/lbmbenchk-linux-gcc-debug-dp -list
+Lattice Boltzmann Benchmark Kernels (LbmBenchKernels) Copyright (C) 2016, 2017 LSS, RRZE
+This program comes with ABSOLUTELY NO WARRANTY; for details see LICENSE.
+This is free software, and you are welcome to redistribute it under certain conditions.
+
+LBM Benchmark Kernels 0.1, compiled Jul 5 2017 21:59:22, type: verification
+Available kernels to benchmark:
+ list-aa-pv-soa
+ list-aa-ria-soa
+ list-aa-soa
+ list-aa-aos
+ list-pull-split-nt-1s-soa
+ list-pull-split-nt-2s-soa
+ list-push-soa
+ list-push-aos
+ list-pull-soa
+ list-pull-aos
+ push-soa
+ push-aos
+ pull-soa
+ pull-aos
+ blk-push-soa
+ blk-push-aos
+ blk-pull-soa
+ blk-pull-aos
+</pre>
+</div>
+<div class="section" id="kernels">
+<h2><a class="toc-backref" href="#id16">3.2 Kernels</a></h2>
+<p>The following list shortly describes available kernels:</p>
+<ul class="simple">
+<li><strong>push-soa/push-aos/pull-soa/pull-aos</strong>:
+Unoptimized kernels (but stream/collide are already fused) using two grids as
+source and destination. Implement push/pull semantics as well structure of
+arrays (soa) or array of structures (aos) layout.</li>
+<li><strong>blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos</strong>:
+The same as the unoptimized kernels without the blk prefix, except that they support
+spatial blocking, i.e. loop blocking of the three loops used to iterate over
+the lattice. Here manual work sharing for OpenMP is used.</li>
+<li><strong>aa-aos/aa-soa</strong>:
+Straight forward implementation of AA pattern on full array with blocking support.
+Manual work sharing for OpenMP is used. Domain is partitioned only along the x dimension.</li>
+<li><strong>aa-vec-soa/aa-vec-sl-soa</strong>:
+Optimized AA kernel with intrinsics on full array. aa-vec-sl-soa uses only
+one loop for iterating over the lattice instead of three nested ones.</li>
+<li><strong>list-push-soa/list-push-aos/list-pull-soa/list-pull-aos</strong>:
+The same as the unoptimized kernels without the list prefix, but for indirect addressing.
+Here only a 1D vector of is used to store the fluid nodes, omitting the
+obstacles. An adjacency list is used to recover the neighborhood associations.</li>
+<li><strong>list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa</strong>:
+Optimized variant of list-pull-soa. Chunks of the lattice are processed as
+once. Postcollision values are written back via nontemporal stores in 18 (1s)
+or 9 (2s) loops.</li>
+<li><strong>list-aa-aos/list-aa-soa</strong>:
+Unoptimized implementation of the AA pattern for the 1D vector with adjacency
+list. Supported are array of structures (aos) and structure of arrays (soa)
+data layout is supported.</li>
+<li><strong>list-aa-ria-soa</strong>:
+Implementation of AA pattern with intrinsics for the 1D vector with adjacency
+list. Furthermore it contains a vectorized even time step and run length
+coding to reduce the loop balance of the odd time step.</li>
+<li><strong>list-aa-pv-soa</strong>:
+All optimizations of list-aa-ria-soa. Additional with partial vectorization
+of the odd time step.</li>
+</ul>
+<p>Note that all array of structures (aos) kernels might require blocking
+(depending on the domain size) to reach the performance of their structure of
+arrays (soa) counter parts.</p>
+<p>The following table summarizes the properties of the kernels. Here <strong>D</strong> means
+direct addressing, i.e. full array, <strong>I</strong> means indirect addressing, i.e. 1D
+vector with adjacency list, <strong>x</strong> means supported, whereas <strong>--</strong> means unsupported.
+The loop balance B_l is computed for D3Q19 model with <strong>double precision</strong> floating
+point for PDFs (8 byte) and 4 byte integers for the index (adjacency list).
+As list-aa-ria-soa and list-aa-pv-soa support run length coding their effective
+loop balance depends on the geometry. The effective loop balance is printed
+during each run.</p>
+<table border="1" class="docutils">
+<colgroup>
+<col width="29%" />
+<col width="14%" />
+<col width="14%" />
+<col width="6%" />
+<col width="10%" />
+<col width="10%" />
+<col width="16%" />
+</colgroup>
+<thead valign="bottom">
+<tr><th class="head">kernel name</th>
+<th class="head">prop. step</th>
+<th class="head">data layout</th>
+<th class="head">addr.</th>
+<th class="head">parallel</th>
+<th class="head">blocking</th>
+<th class="head">B_l [B/FLUP]</th>
+</tr>
+</thead>
+<tbody valign="top">
+<tr><td>push-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>--</td>
+<td>456</td>
+</tr>
+<tr><td>push-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>D</td>
+<td>x</td>
+<td>--</td>
+<td>456</td>
+</tr>
+<tr><td>pull-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>--</td>
+<td>456</td>
+</tr>
+<tr><td>pull-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>D</td>
+<td>x</td>
+<td>--</td>
+<td>456</td>
+</tr>
+<tr><td>blk-push-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>456</td>
+</tr>
+<tr><td>blk-push-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>456</td>
+</tr>
+<tr><td>blk-pull-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>456</td>
+</tr>
+<tr><td>blk-pull-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>456</td>
+</tr>
+<tr><td>aa-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>304</td>
+</tr>
+<tr><td>aa-aos</td>
+<td>AA</td>
+<td>AoS</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>304</td>
+</tr>
+<tr><td>aa-vec-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>304</td>
+</tr>
+<tr><td>aa-vec-sl-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>D</td>
+<td>x</td>
+<td>x</td>
+<td>304</td>
+</tr>
+<tr><td>list-push-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>528</td>
+</tr>
+<tr><td>list-push-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>528</td>
+</tr>
+<tr><td>list-pull-soa</td>
+<td>OS</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>528</td>
+</tr>
+<tr><td>list-pull-aos</td>
+<td>OS</td>
+<td>AoS</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>528</td>
+</tr>
+<tr><td>list-pull-split-nt-1s</td>
+<td>OS</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>376</td>
+</tr>
+<tr><td>list-pull-split-nt-2s</td>
+<td>OS</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>376</td>
+</tr>
+<tr><td>list-aa-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>340</td>
+</tr>
+<tr><td>list-aa-aos</td>
+<td>AA</td>
+<td>AoS</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>340</td>
+</tr>
+<tr><td>list-aa-ria-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>304-342</td>
+</tr>
+<tr><td>list-aa-pv-soa</td>
+<td>AA</td>
+<td>SoA</td>
+<td>I</td>
+<td>x</td>
+<td>x</td>
+<td>304-342</td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+<div class="section" id="id2">
+<h1><a class="toc-backref" href="#id17">4 Benchmarking</a></h1>
+<p>Correct benchmarking is a nontrivial task. Whenever benchmark results should be
+created make sure the binary was compiled with:</p>
+<ul class="simple">
+<li><tt class="docutils literal">BENCHMARK=on</tt> (default if not overriden) and</li>
+<li><tt class="docutils literal">BUILD=release</tt> (default if not overriden) and</li>
+<li>the correct ISA for macros is used, selected via <tt class="docutils literal">ISA</tt> and</li>
+<li>use <tt class="docutils literal">TARCH</tt> to specify the architecture the compiler generates code for.</li>
+</ul>
+<div class="section" id="intel-compiler">
+<h2><a class="toc-backref" href="#id18">4.1 Intel Compiler</a></h2>
+<p>For the Intel compiler one can specify depending on the target ISA extension:</p>
+<ul class="simple">
+<li>AVX: <tt class="docutils literal"><span class="pre">TARCH=-xAVX</span></tt></li>
+<li>AVX2 and FMA: <tt class="docutils literal"><span class="pre">TARCH=-xCORE-AVX2,-fma</span></tt></li>
+<li>AVX512: <tt class="docutils literal"><span class="pre">TARCH=-xCORE-AVX512</span></tt></li>
+<li>KNL: <tt class="docutils literal"><span class="pre">TARCH=-xMIC-AVX512</span></tt></li>
+</ul>
+<p>Compiling for an architecture supporting AVX (Sandy Bridge, Ivy Bridge):</p>
+<pre class="literal-block">
+make ISA=avx TARCH=-xAVX
+</pre>
+<p>Compiling for an architecture supporting AVX2 (Haswell, Broadwell):</p>
+<pre class="literal-block">
+make ISA=avx TARCH=-xCORE-AVX2,-fma
+</pre>
+<p>WARNING: ISA is here still set to <tt class="docutils literal">avx</tt> as currently we have the FMA intrinsics not
+implemented. This might change in the future.</p>
+<p>Compiling for an architecture supporting AVX-512 (Skylake):</p>
+<pre class="literal-block">
+make ISA=avx TARCH=-xCORE-AVX512
+</pre>
+<p>WARNING: ISA is here still set to <tt class="docutils literal">avx</tt> as currently we have no implementation for the
+AVX512 intrinsics. This might change in the future.</p>
+</div>
+<div class="section" id="pinning">
+<h2><a class="toc-backref" href="#id19">4.2 Pinning</a></h2>
+<p>During benchmarking pinning should be used via the <tt class="docutils literal"><span class="pre">-pin</span></tt> parameter. Running
+a benchmark with 10 threads and pin them to the first 10 cores works like</p>
+<pre class="literal-block">
+$ bin/lbmbenchk-linux-intel-release-dp ... -t 10 -pin $(seq -s , 0 9)
+</pre>
+</div>
+<div class="section" id="general-remarks">
+<h2><a class="toc-backref" href="#id20">4.3 General Remarks</a></h2>
+<p>Things the binary does nor check or control:</p>
+<ul class="simple">
+<li>transparent huge pages: when allocating memory small 4 KiB pages might be
+replaced with larger ones. This is in general a good thing, but if this is
+really the case, depends on the system settings (check e.g. the status of
+<tt class="docutils literal">/sys/kernel/mm/transparent_hugepage/enabled</tt>).
+Currently <tt class="docutils literal">madvise(MADV_HUGEPAGE)</tt> is used for allocations which are aligned to
+a 4 KiB page, which should be the case for the lattices.
+This should result in huge pages except THP is disabled on the machine.
+(NOTE: madvise() is used if <tt class="docutils literal">HAVE_HUGE_PAGES</tt> is defined, which is currently
+hard coded defined in <tt class="docutils literal">Memory.c</tt>).</li>
+<li>CPU/core frequency: For reproducible results the frequency of all cores
+should be fixed.</li>
+<li>NUMA placement policy: The benchmark assumes a first touch policy, which
+means the memory will be placed at the NUMA domain the touching core is
+associated with. If a different policy is in place or the NUMA domain to be
+used is already full memory might be allocated in a remote domain. Accesses
+to remote domains typically have a higher latency and lower bandwidth.</li>
+<li>System load: interference with other application, especially on desktop
+systems should be avoided.</li>
+<li>Padding: For SoA based kernels the number of (fluid) nodes is automatically
+adjusted so that no cache or TLB thrashing should occur. The parameters are
+optimized for current Intel based systems. For more details look into the
+padding section.</li>
+<li>CPU dispatcher function: the compiler might add different versions of a
+function for different ISA extensions. Make sure the code you might think is
+executed is actually the code which is executed.</li>
+</ul>
+</div>
+<div class="section" id="padding">
+<h2><a class="toc-backref" href="#id21">4.4 Padding</a></h2>
+<p>With correct padding cache and TLB thrashing can be avoided. Therefore the
+number of (fluid) nodes used in the data layout is artificially increased.</p>
+<p>Currently automatic padding is active for kernels which support it. It can be
+controlled via the kernel parameter (i.e. parameter after the <tt class="docutils literal"><span class="pre">--</span></tt>)
+<tt class="docutils literal"><span class="pre">-pad</span></tt>. Supported values are <tt class="docutils literal">auto</tt> (default), <tt class="docutils literal">no</tt> (to disable padding),
+or a manual padding.</p>
+<p>Automatic padding tries to avoid cache and TLB thrashing and pads for a 32
+entry (huge pages) TLB with 8 sets and a 512 set (L2) cache. This reflects the
+parameters of current Intel based processors.</p>
+<p>Manual padding is done via a padding string and has the format
+<tt class="docutils literal"><span class="pre">mod_1+offset_1(,mod_n+offset_n)</span></tt>, which specifies numbers of bytes.
+SoA data layouts can exhibit TLB thrashing. Therefore we want to distribute the
+19 pages with one lattice (36 with two lattices) we are concurrently accessing
+over as much sets in the TLB as possible.
+This is controlled by the distance between the accessed pages, which is the
+number of (fluid) nodes in between them and can be adjusted by adding further
+(fluid) nodes.
+We want the distance d (in bytes) between two accessed pages to be e.g.
+<strong>d % (PAGE_SIZE * TLB_SETS) = PAGE_SIZE</strong>.
+This would distribute the pages evenly over the sets. Hereby <strong>PAGE_SIZE * TLB_SETS</strong>
+would be our <tt class="docutils literal">mod_1</tt> and <strong>PAGE_SIZE</strong> (after the =) our <tt class="docutils literal">offset_1</tt>.
+Measurements show that with only a quarter of half of a page size as offset
+higher performance is achieved, which is done by automatic padding.
+On top of this padding more paddings can be added. They are just added to the
+padding string and are separated by commas.</p>
+<p>A zero modulus in the padding string has a special meaning. Here the
+corresponding offset is just added to the number of nodes. A padding string
+like <tt class="docutils literal"><span class="pre">-pad</span> 0+16</tt> would at a static padding of two nodes (one node = 8 b).</p>
+</div>
+</div>
+<div class="section" id="geometries">
+<h1><a class="toc-backref" href="#id22">5 Geometries</a></h1>
+<p>TODO: supported geometries: channel, pipe, blocks, fluid</p>
+</div>
+<div class="section" id="performance-results">
+<h1><a class="toc-backref" href="#id23">6 Performance Results</a></h1>
+<p>The sections lists performance values measured on several machines for
+different kernels and geometries and <strong>double precision</strong> floating point data/arithmetic.
+The <strong>RFM</strong> column denotes the expected performance as predicted by the
+Roofline performance model <a class="citation-reference" href="#williams-2008" id="id3">[williams-2008]</a>.
+For performance prediction of each kernel a memory bandwidth benchmark is used
+which mimics the kernels memory access pattern and the kernel's loop balance
+(see <a class="citation-reference" href="#kernels" id="id4">[kernels]</a> for details).</p>
+<div class="section" id="machine-specifications">
+<h2><a class="toc-backref" href="#id24">6.1 Machine Specifications</a></h2>
+<p><strong>Ivy Bridge, Intel Xeon E5-2660 v2</strong></p>
+<ul class="simple">
+<li>Ivy Bridge architecture, AVX</li>
+<li>10 cores, 2.2 GHz</li>
+<li>SMT enabled</li>
+<li>memoy bandwidth:<ul>
+<li>copy-19 32.7 GB/s</li>
+<li>copy-19-nt-sl 35.6 GB/s</li>
+<li>update-19 37.4 GB/s</li>
+</ul>
+</li>
+</ul>
+<p><strong>Haswell, Intel Xeon E5-2695 v3</strong></p>
+<ul class="simple">
+<li>Haswell architecture, AVX2, FMA</li>
+<li>14 cores, 2.3 GHz</li>
+<li>2 x 7 cores in cluster-on-die (CoD) mode enabled</li>
+<li>SMT enabled</li>
+<li>memory bandwidth:<ul>
+<li>copy-19 47.3 GB/s</li>
+<li>copy-19-nt-sl 47.1 GB/s</li>
+<li>update-19 44.0 GB/s</li>
+</ul>
+</li>
+</ul>
+<p><strong>Broadwell, Intel Xeon E5-2630 v4</strong></p>
+<ul class="simple">
+<li>Broadwell architecture, AVX2, FMA</li>
+<li>10 cores, 2.2 GHz</li>
+<li>SMT disabled</li>
+<li>memory bandwidth:<ul>
+<li>copy-19 48.0 GB/s</li>
+<li>copy-nt-sl-19 48.2 GB/s</li>
+<li>update-19 51.1 GB/s</li>
+</ul>
+</li>
+</ul>
+<p><strong>Skylake, Intel Xeon Gold 6148</strong></p>
+<p>NOTE: currently we only use AVX2 intrinsics.</p>
+<ul class="simple">
+<li>Skylake server architecture, AVX2, AVX512, 2 FMA units</li>
+<li>20 cores, 2.4 GHz</li>
+<li>SMT enabled</li>
+<li>memory bandwidth:<ul>
+<li>copy-19 89.7 GB/s</li>
+<li>copy-19-nt-sl 92.4 GB/s</li>
+<li>update-19 93.6 GB/s</li>
+</ul>
+</li>
+</ul>
+<p><strong>Zen, AMD EPYC 7451</strong></p>
+<ul class="simple">
+<li>Zen architecture, AVX2, FMA</li>
+<li>24 cores, 2.3 GHz</li>
+<li>SMT enabled</li>
+<li>memory bandwidth:<ul>
+<li>copy-19 111.9 GB/s</li>
+<li>copy-19-nt-sl 111.7 GB/s</li>
+<li>update-19 109.2 GB/s</li>
+</ul>
+</li>
+</ul>
+<p><strong>Zen, AMD Ryzen 7 1700X</strong></p>
+<ul class="simple">
+<li>Zen architecture, AVX2, FMA</li>
+<li>8 cores, 3.4 GHz</li>
+<li>SMT enabled</li>
+<li>memory bandwidth:<ul>
+<li>copy-19 27.2 GB/s</li>
+<li>copy-19-nt-sl 27.1 GB/s</li>
+<li>update-19 26.1 GB/s</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="section" id="single-socket-results">
+<h2><a class="toc-backref" href="#id25">6.2 Single Socket Results</a></h2>
+<ul class="simple">
+<li>Geometry dimensions are for all measurements 500x100x100 nodes.</li>
+<li>Note the <strong>different scaling on the y axis</strong> of the plots!</li>
+</ul>
+<table border="1" class="docutils">
+<colgroup>
+<col width="100%" />
+</colgroup>
+<tbody valign="top">
+<tr><td>Ivy Bridge, Intel Xeon E5-2660 v2, Double Precision</td>
+</tr>
+<tr><td><img alt="perf_emmy_dp" src="images/benchmark-emmy-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Ivy Bridge, Intel Xeon E5-2660 v2, Single Precision</td>
+</tr>
+<tr><td><img alt="perf_emmy_sp" src="images/benchmark-emmy-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Haswell, Intel Xeon E5-2695 v3, Double Precision</td>
+</tr>
+<tr><td><img alt="perf_hasep1_dp" src="images/benchmark-hasep1-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Haswell, Intel Xeon E5-2695 v3, Single Precision</td>
+</tr>
+<tr><td><img alt="perf_hasep1_sp" src="images/benchmark-hasep1-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Broadwell, Intel Xeon E5-2630 v4, Double Precision</td>
+</tr>
+<tr><td><img alt="perf_meggie_dp" src="images/benchmark-meggie-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Broadwell, Intel Xeon E5-2630 v4, Single Precision</td>
+</tr>
+<tr><td><img alt="perf_meggie_sp" src="images/benchmark-meggie-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Skylake, Intel Xeon Gold 6148, Double Precision, <strong>NOTE: currently we only use AVX2 intrinsics.</strong></td>
+</tr>
+<tr><td><img alt="perf_skylakesp2_dp" src="images/benchmark-skylakesp2-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Skylake, Intel Xeon Gold 6148, Single Precision, <strong>NOTE: currently we only use AVX2 intrinsics.</strong></td>
+</tr>
+<tr><td><img alt="perf_skylakesp2_sp" src="images/benchmark-skylakesp2-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Zen, AMD Ryzen 7 1700X, Double Precision</td>
+</tr>
+<tr><td><img alt="perf_summitridge1_dp" src="images/benchmark-summitridge1-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Zen, AMD Ryzen 7 1700X, Single Precision</td>
+</tr>
+<tr><td><img alt="perf_summitridge1_sp" src="images/benchmark-summitridge1-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Zen, AMD EPYC 7451, Double Precision</td>
+</tr>
+<tr><td><img alt="perf_naples1_dp" src="images/benchmark-naples1-dp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+<tr><td>Zen, AMD EPYC 7451, Single Precision</td>
+</tr>
+<tr><td><img alt="perf_naples1_sp" src="images/benchmark-naples1-sp.png" style="width: 1000.0px; height: 250.0px;" /></td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+<div class="section" id="licence">
+<h1><a class="toc-backref" href="#id26">7 Licence</a></h1>
+<p>The Lattice Boltzmann Benchmark Kernels are licensed under GPLv3.</p>
+</div>
+<div class="section" id="acknowledgements">
+<h1><a class="toc-backref" href="#id27">8 Acknowledgements</a></h1>
+<p>This work was funded by BMBF, grant no. 01IH15003A (project SKAMPY).</p>
+<p>This work was funded by KONWHIR project OMI4PAPS.</p>
+</div>
+<div class="section" id="bibliography">
+<h1><a class="toc-backref" href="#id28">9 Bibliography</a></h1>
+<table class="docutils citation" frame="void" id="ginzburg-2008" rules="none">
+<colgroup><col class="label" /><col /></colgroup>
+<tbody valign="top">
+<tr><td class="label"><a class="fn-backref" href="#id1">[ginzburg-2008]</a></td><td>I. Ginzburg, F. Verhaeghe, and D. d'Humières.
+Two-relaxation-time lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions.
+Commun. Comput. Phys., 3(2):427-478, 2008.</td></tr>
+</tbody>
+</table>
+<table class="docutils citation" frame="void" id="williams-2008" rules="none">
+<colgroup><col class="label" /><col /></colgroup>
+<tbody valign="top">
+<tr><td class="label"><a class="fn-backref" href="#id3">[williams-2008]</a></td><td>S. Williams, A. Waterman, and D. Patterson.
+Roofline: an insightful visual performance model for multicore architectures.
+Commun. ACM, 52(4):65-76, Apr 2009. doi:10.1145/1498765.1498785</td></tr>
+</tbody>
+</table>
+<p>Document was generated at 2018-01-09 11:54.</p>
+</div>
+</div>
+</body>
+</html>
-.. # --------------------------------------------------------------------------
- #
- # Copyright
- # Markus Wittmann, 2016-2017
- # RRZE, University of Erlangen-Nuremberg, Germany
- # markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
- #
- # Viktor Haag, 2016
- # LSS, University of Erlangen-Nuremberg, Germany
- #
- # This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
- #
- # LbmBenchKernels is free software: you can redistribute it and/or modify
- # it under the terms of the GNU General Public License as published by
- # the Free Software Foundation, either version 3 of the License, or
- # (at your option) any later version.
- #
- # LbmBenchKernels is distributed in the hope that it will be useful,
- # but WITHOUT ANY WARRANTY; without even the implied warranty of
- # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- # GNU General Public License for more details.
- #
- # You should have received a copy of the GNU General Public License
- # along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
- #
- # --------------------------------------------------------------------------
+
+| Copyright
+| Markus Wittmann, 2016-2018
+| RRZE, University of Erlangen-Nuremberg, Germany
+| markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+|
+| Viktor Haag, 2016
+| LSS, University of Erlangen-Nuremberg, Germany
+|
+| This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+|
+| LbmBenchKernels is free software: you can redistribute it and/or modify
+| it under the terms of the GNU General Public License as published by
+| the Free Software Foundation, either version 3 of the License, or
+| (at your option) any later version.
+|
+| LbmBenchKernels is distributed in the hope that it will be useful,
+| but WITHOUT ANY WARRANTY; without even the implied warranty of
+| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+| GNU General Public License for more details.
+|
+| You should have received a copy of the GNU General Public License
+| along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
.. title:: LBM Benchmark Kernels Documentation
-===================================
-LBM Benchmark Kernels Documentation
-===================================
+**LBM Benchmark Kernels Documentation**
.. sectnum::
.. contents::
Currently all kernels utilize a D3Q19 discretization and the
two-relaxation-time (TRT) collision operator [ginzburg-2008]_.
-All operations are carried out in double precision arithmetic.
+All operations are carried out in double or single precision arithmetic.
Compilation
===========
``CONFIG=linux-intel``.
+Floating Point Precision
+------------------------
+
+As default double precision data types are used for storing PDFs and floating
+point constants. Furthermore, this is the default for the intrincis kernels.
+With the ``PRECISION=sp`` variable this can be changed to single precision. ::
+
+ make PRECISION=sp # build for single precision kernels
+
+ make PRECISION=dp # build for double precision kernels (defalt)
+
+
Cleaning
--------
CONFIG linux-gcc, linux-intel linux-intel Select GCC or Intel compiler.
ISA avx, sse avx Determines which ISA extension is used for macro definitions of the intrinsics. This is *not* the architecture the compiler generates code for.
OPENMP on, off on OpenMP, i.\,e.\. threading support.
+PRECISION dp, sp dp Floating point precision used for data type, arithmetic, and intrincics.
STATISTICS on, off off View statistics, like density etc, during simulation.
TARCH -- -- Via TARCH the architecture the compiler generates code for can be overridden. The value depends on the chosen compiler.
VERIFICATION on, off off Turn verification on/off.
This holds also true for ``-verify`` which sets geometry dimensions,
iterations, etc, which can afterward be override, e.g.: ::
- $ bin/lbmbenchk-linux-intel-release -verfiy -dims 32x32x32
+ $ bin/lbmbenchk-linux-intel-release-dp -verfiy -dims 32x32x32
Kernel specific parameters can be obtained via selecting the specific kernel
and passing ``-h`` as parameter: ::
- $ bin/lbmbenchk-linux-intel-release -kernel kernel-name -- -h
+ $ bin/lbmbenchk-linux-intel-release-dp -kernel kernel-name -- -h
...
Kernel parameters:
[-blk <n>] [-blk-[xyz] <n>]
A list of all available kernels can be obtained via ``-list``: ::
- $ ../bin/lbmbenchk-linux-gcc-debug -list
+ $ ../bin/lbmbenchk-linux-gcc-debug-dp -list
Lattice Boltzmann Benchmark Kernels (LbmBenchKernels) Copyright (C) 2016, 2017 LSS, RRZE
This program comes with ABSOLUTELY NO WARRANTY; for details see LICENSE.
This is free software, and you are welcome to redistribute it under certain conditions.
The following list shortly describes available kernels:
-- push-soa/push-aos/pull-soa/pull-aos:
+- **push-soa/push-aos/pull-soa/pull-aos**:
Unoptimized kernels (but stream/collide are already fused) using two grids as
source and destination. Implement push/pull semantics as well structure of
arrays (soa) or array of structures (aos) layout.
-- blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos:
+- **blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos**:
The same as the unoptimized kernels without the blk prefix, except that they support
spatial blocking, i.e. loop blocking of the three loops used to iterate over
the lattice. Here manual work sharing for OpenMP is used.
-- list-push-soa/list-push-aos/list-pull-soa/list-pull-aos:
+- **aa-aos/aa-soa**:
+ Straight forward implementation of AA pattern on full array with blocking support.
+ Manual work sharing for OpenMP is used. Domain is partitioned only along the x dimension.
+
+- **aa-vec-soa/aa-vec-sl-soa**:
+ Optimized AA kernel with intrinsics on full array. aa-vec-sl-soa uses only
+ one loop for iterating over the lattice instead of three nested ones.
+
+- **list-push-soa/list-push-aos/list-pull-soa/list-pull-aos**:
The same as the unoptimized kernels without the list prefix, but for indirect addressing.
Here only a 1D vector of is used to store the fluid nodes, omitting the
obstacles. An adjacency list is used to recover the neighborhood associations.
-- list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa:
+- **list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa**:
Optimized variant of list-pull-soa. Chunks of the lattice are processed as
once. Postcollision values are written back via nontemporal stores in 18 (1s)
or 9 (2s) loops.
-- list-aa-aos/list-aa-soa:
+- **list-aa-aos/list-aa-soa**:
Unoptimized implementation of the AA pattern for the 1D vector with adjacency
list. Supported are array of structures (aos) and structure of arrays (soa)
data layout is supported.
-- list-aa-ria-soa:
+- **list-aa-ria-soa**:
Implementation of AA pattern with intrinsics for the 1D vector with adjacency
list. Furthermore it contains a vectorized even time step and run length
coding to reduce the loop balance of the odd time step.
-- list-aa-pv-soa:
+- **list-aa-pv-soa**:
All optimizations of list-aa-ria-soa. Additional with partial vectorization
of the odd time step.
The following table summarizes the properties of the kernels. Here **D** means
direct addressing, i.e. full array, **I** means indirect addressing, i.e. 1D
vector with adjacency list, **x** means supported, whereas **--** means unsupported.
-The loop balance B_l is computed for D3Q19 model with double precision floating
+The loop balance B_l is computed for D3Q19 model with **double precision** floating
point for PDFs (8 byte) and 4 byte integers for the index (adjacency list).
As list-aa-ria-soa and list-aa-pv-soa support run length coding their effective
loop balance depends on the geometry. The effective loop balance is printed
blk-push-aos OS AoS D x x 456
blk-pull-soa OS SoA D x x 456
blk-pull-aos OS AoS D x x 456
+aa-soa AA SoA D x x 304
+aa-aos AA AoS D x x 304
+aa-vec-soa AA SoA D x x 304
+aa-vec-sl-soa AA SoA D x x 304
list-push-soa OS SoA I x x 528
list-push-aos OS AoS I x x 528
list-pull-soa OS SoA I x x 528
During benchmarking pinning should be used via the ``-pin`` parameter. Running
a benchmark with 10 threads and pin them to the first 10 cores works like ::
- $ bin/lbmbenchk-linux-intel-release ... -t 10 -pin $(seq -s , 0 9)
+ $ bin/lbmbenchk-linux-intel-release-dp ... -t 10 -pin $(seq -s , 0 9)
General Remarks
===================
The sections lists performance values measured on several machines for
-different kernels and geometries.
+different kernels and geometries and **double precision** floating point data/arithmetic.
The **RFM** column denotes the expected performance as predicted by the
Roofline performance model [williams-2008]_.
For performance prediction of each kernel a memory bandwidth benchmark is used
which mimics the kernels memory access pattern and the kernel's loop balance
(see [kernels]_ for details).
-Haswell, Intel Xeon E5-2695 v3
-------------------------------
+Machine Specifications
+----------------------
+
+**Ivy Bridge, Intel Xeon E5-2660 v2**
+
+- Ivy Bridge architecture, AVX
+- 10 cores, 2.2 GHz
+- SMT enabled
+- memoy bandwidth:
+
+ - copy-19 32.7 GB/s
+ - copy-19-nt-sl 35.6 GB/s
+ - update-19 37.4 GB/s
+
+**Haswell, Intel Xeon E5-2695 v3**
- Haswell architecture, AVX2, FMA
-- 14 cores, 2,3 GHz
+- 14 cores, 2.3 GHz
- 2 x 7 cores in cluster-on-die (CoD) mode enabled
- SMT enabled
+- memory bandwidth:
-memory bandwidth:
-
-- copy-19 47.3 GB/s
-- copy-19-nt-sl 47.1 GB/s
-- update-19 44.0 GB/s
-
-geometry dimensions: 500x100x100
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-blk-push-aos 58.82 49.85 57.34 59.90 61.37 62.17 65.30 64.00 67.54 64.46 69.69 104
-blk-push-soa 32.32 33.46 34.02 34.64 35.06 35.04 36.31 35.44 37.20 35.14 37.95 104
-blk-pull-aos 56.97 51.41 56.09 57.92 59.98 59.83 63.37 61.55 65.50 63.11 67.02 104
-blk-pull-soa 49.29 46.23 47.50 51.97 51.27 49.52 55.23 53.13 54.50 49.79 57.90 104
-aa-aos 91.35 66.14 76.80 84.76 83.63 91.36 93.46 92.62 93.91 92.25 92.93 145
-aa-soa 75.51 65.68 70.94 71.36 73.83 75.46 74.84 79.48 83.28 77.70 82.72 145
-aa-vec-soa 93.85 83.44 91.58 93.96 94.35 96.62 101.76 96.72 106.37 102.60 110.28 145
-list-push-aos 80.29 80.97 80.95 81.10 81.37 82.44 81.77 81.49 80.72 81.93 80.93 83
-list-push-soa 47.52 42.65 45.28 46.64 43.46 40.59 44.94 46.55 41.53 45.98 44.86 83
-list-pull-aos 85.30 82.97 86.43 83.42 86.33 83.70 86.43 83.77 83.10 85.89 84.44 83
-list-pull-soa 62.12 63.61 63.28 61.32 66.72 62.65 64.82 60.49 58.01 64.46 62.52 83
-list-pull-split-nt-1s-soa 121.35 113.77 115.29 113.54 117.00 116.46 114.78 114.54 110.83 112.67 117.85 125
-list-pull-split-nt-2s-soa 118.09 110.48 112.55 113.18 113.44 111.85 109.27 114.41 110.28 111.78 113.74 125
-list-aa-aos 121.28 118.63 119.00 118.50 121.99 119.11 118.83 121.47 121.62 126.18 120.12 129
-list-aa-soa 126.34 116.90 129.45 127.12 129.41 121.42 126.19 126.76 126.70 124.40 125.22 129
-list-aa-ria-soa 133.68 121.82 126.04 128.46 131.15 132.25 128.78 133.50 126.69 124.40 130.37 145
-list-aa-pv-soa 146.22 124.39 130.73 136.29 137.61 131.21 138.65 138.78 127.02 132.40 138.37 145
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-
-
-Broadwell, Intel Xeon E5-2630 v4
---------------------------------
+ - copy-19 47.3 GB/s
+ - copy-19-nt-sl 47.1 GB/s
+ - update-19 44.0 GB/s
+
+
+**Broadwell, Intel Xeon E5-2630 v4**
- Broadwell architecture, AVX2, FMA
- 10 cores, 2.2 GHz
- SMT disabled
+- memory bandwidth:
+
+ - copy-19 48.0 GB/s
+ - copy-nt-sl-19 48.2 GB/s
+ - update-19 51.1 GB/s
+
+**Skylake, Intel Xeon Gold 6148**
-memory bandwidth:
-
-- copy-19 48.0 GB/s
-- copy-nt-sl-19 48.2 GB/s
-- update-19 51.1 GB/s
-
-geometry dimensions: 500x100x100
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-blk-push-aos 55.75 47.62 54.57 57.10 58.49 59.00 61.72 60.56 64.05 61.10 66.03 105
-blk-push-soa 30.06 31.09 32.13 32.54 32.74 32.72 33.81 33.19 34.90 33.21 35.75 105
-blk-pull-aos 53.80 48.61 53.08 54.99 56.08 56.68 59.20 58.12 61.49 58.71 63.45 105
-blk-pull-soa 46.96 46.61 48.84 49.70 50.33 50.46 52.36 51.39 54.20 51.61 55.71 105
-aa-aos 91.40 66.99 78.47 83.38 86.62 88.62 92.98 91.54 97.08 94.93 98.90 168
-aa-soa 83.01 69.96 75.85 77.72 79.01 79.29 82.38 80.11 85.70 83.91 87.69 168
-aa-vec-soa 112.03 96.52 105.32 109.76 112.55 113.82 120.55 118.37 126.30 121.37 131.94 168
-list-push-aos 75.13 74.18 75.20 75.42 75.24 75.99 75.80 75.80 75.54 76.22 76.21 97
-list-push-soa 40.99 38.14 39.00 38.89 38.89 39.67 39.87 39.28 39.35 40.08 40.13 97
-list-pull-aos 82.07 82.88 83.29 83.09 83.32 83.49 82.82 82.88 83.32 82.60 82.93 97
-list-pull-soa 62.07 60.40 61.89 61.39 62.43 60.90 60.48 62.80 62.50 61.10 60.38 97
-list-pull-split-nt-1s-soa 125.81 120.60 121.96 122.34 122.86 123.53 123.64 123.67 125.94 124.09 123.69 128
-list-pull-split-nt-2s-soa 122.79 117.16 118.86 119.16 119.56 119.99 120.01 120.03 122.64 120.57 120.39 128
-list-aa-aos 128.13 127.41 129.31 129.07 129.79 129.63 129.67 129.94 129.12 128.41 129.72 150
-list-aa-soa 141.60 139.78 141.58 142.16 141.94 141.31 142.37 142.25 142.43 141.40 142.26 150
-list-aa-ria-soa 141.82 134.88 140.15 140.72 141.67 140.51 141.18 141.29 142.97 141.94 143.25 168
-list-aa-pv-soa 164.79 140.95 159.24 161.78 162.40 163.04 164.69 164.38 165.11 165.75 166.09 168
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-
-
-Skylake, Intel Xeon Gold 6148
------------------------------
-
-- Skylake architecture, AVX2, FMA, AVX512
+NOTE: currently we only use AVX2 intrinsics.
+
+- Skylake server architecture, AVX2, AVX512, 2 FMA units
- 20 cores, 2.4 GHz
- SMT enabled
+- memory bandwidth:
+
+ - copy-19 89.7 GB/s
+ - copy-19-nt-sl 92.4 GB/s
+ - update-19 93.6 GB/s
+
+**Zen, AMD EPYC 7451**
+
+- Zen architecture, AVX2, FMA
+- 24 cores, 2.3 GHz
+- SMT enabled
+- memory bandwidth:
+
+ - copy-19 111.9 GB/s
+ - copy-19-nt-sl 111.7 GB/s
+ - update-19 109.2 GB/s
+
+**Zen, AMD Ryzen 7 1700X**
+
+- Zen architecture, AVX2, FMA
+- 8 cores, 3.4 GHz
+- SMT enabled
+- memory bandwidth:
+
+ - copy-19 27.2 GB/s
+ - copy-19-nt-sl 27.1 GB/s
+ - update-19 26.1 GB/s
+
+Single Socket Results
+---------------------
+
+- Geometry dimensions are for all measurements 500x100x100 nodes.
+- Note the **different scaling on the y axis** of the plots!
+
+.. |perf_emmy_dp| image:: images/benchmark-emmy-dp.png
+ :scale: 50 %
+.. |perf_emmy_sp| image:: images/benchmark-emmy-sp.png
+ :scale: 50 %
+.. |perf_hasep1_dp| image:: images/benchmark-hasep1-dp.png
+ :scale: 50 %
+.. |perf_hasep1_sp| image:: images/benchmark-hasep1-sp.png
+ :scale: 50 %
+.. |perf_meggie_dp| image:: images/benchmark-meggie-dp.png
+ :scale: 50 %
+.. |perf_meggie_sp| image:: images/benchmark-meggie-sp.png
+ :scale: 50 %
+.. |perf_skylakesp2_dp| image:: images/benchmark-skylakesp2-dp.png
+ :scale: 50 %
+.. |perf_skylakesp2_sp| image:: images/benchmark-skylakesp2-sp.png
+ :scale: 50 %
+.. |perf_summitridge1_dp| image:: images/benchmark-summitridge1-dp.png
+ :scale: 50 %
+.. |perf_summitridge1_sp| image:: images/benchmark-summitridge1-sp.png
+ :scale: 50 %
+.. |perf_naples1_dp| image:: images/benchmark-naples1-dp.png
+ :scale: 50 %
+.. |perf_naples1_sp| image:: images/benchmark-naples1-sp.png
+ :scale: 50 %
+
+.. list-table::
+
+ * - Ivy Bridge, Intel Xeon E5-2660 v2, Double Precision
+ * - |perf_emmy_dp|
+ * - Ivy Bridge, Intel Xeon E5-2660 v2, Single Precision
+ * - |perf_emmy_sp|
+ * - Haswell, Intel Xeon E5-2695 v3, Double Precision
+ * - |perf_hasep1_dp|
+ * - Haswell, Intel Xeon E5-2695 v3, Single Precision
+ * - |perf_hasep1_sp|
+ * - Broadwell, Intel Xeon E5-2630 v4, Double Precision
+ * - |perf_meggie_dp|
+ * - Broadwell, Intel Xeon E5-2630 v4, Single Precision
+ * - |perf_meggie_sp|
+ * - Skylake, Intel Xeon Gold 6148, Double Precision, **NOTE: currently we only use AVX2 intrinsics.**
+ * - |perf_skylakesp2_dp|
+ * - Skylake, Intel Xeon Gold 6148, Single Precision, **NOTE: currently we only use AVX2 intrinsics.**
+ * - |perf_skylakesp2_sp|
+ * - Zen, AMD Ryzen 7 1700X, Double Precision
+ * - |perf_summitridge1_dp|
+ * - Zen, AMD Ryzen 7 1700X, Single Precision
+ * - |perf_summitridge1_sp|
+ * - Zen, AMD EPYC 7451, Double Precision
+ * - |perf_naples1_dp|
+ * - Zen, AMD EPYC 7451, Single Precision
+ * - |perf_naples1_sp|
-memory bandwidth:
-
-- copy-19 89.7 GB/s
-- copy-19-nt-sl 92.4 GB/s
-- update-19 93.6 GB/s
-
-geometry dimensions: 500x100x100
-
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
-blk-push-aos 113.01 93.99 108.98 114.65 117.87 119.47 124.95 122.46 129.29 123.87 133.01 197
-blk-push-soa 100.21 98.87 103.63 105.56 107.02 107.27 111.61 109.83 116.16 110.51 110.29 197
-blk-pull-aos 118.45 102.54 114.12 117.82 122.69 124.31 130.58 127.85 135.72 129.65 139.94 197
-blk-pull-soa 82.60 83.36 87.13 88.39 88.84 88.96 92.48 90.93 95.79 91.92 98.64 197
-aa-aos 171.32 125.43 147.73 157.70 163.35 167.25 175.39 174.20 182.54 173.67 187.76 308
-aa-soa 180.85 152.39 165.84 152.59 171.90 175.76 184.94 182.34 189.43 180.30 193.54 308
-aa-vec-soa 208.03 181.51 195.86 203.41 209.08 212.34 224.05 219.49 234.31 225.92 245.22 308
-list-push-aos 158.81 164.67 162.93 163.05 165.22 164.31 164.66 160.78 164.07 165.19 164.06 177
-list-push-soa 134.60 110.44 110.17 132.01 132.95 133.46 134.37 134.33 135.12 134.91 137.87 177
-list-pull-aos 169.61 170.03 170.89 170.90 171.20 171.60 172.09 171.95 169.48 172.08 171.02 177
-list-pull-soa 120.50 116.73 118.62 118.00 120.99 118.15 117.17 121.41 120.83 120.00 118.74 177
-list-pull-split-nt-1s-soa 225.59 224.18 225.10 226.34 226.01 230.37 227.50 228.42 227.39 231.65 227.35 246
-list-pull-split-nt-2s-soa 219.20 214.63 217.61 218.13 219.07 221.01 219.88 220.09 220.62 221.68 220.58 246
-list-aa-aos 241.39 239.27 239.53 242.56 242.46 243.00 242.91 242.46 241.24 242.96 241.52 275
-list-aa-soa 273.73 268.49 268.48 271.79 275.29 274.56 277.18 272.67 274.21 275.24 278.21 275
-list-aa-ria-soa 288.42 261.89 273.26 284.84 283.88 288.29 290.72 289.81 293.36 290.75 292.93 308
-list-aa-pv-soa 303.35 267.21 289.18 294.96 294.36 298.16 300.45 301.71 302.37 302.88 304.46 308
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
Licence
=======
#ifndef __BASE_H__
#define __BASE_H__
+#include "Config.h"
+
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
-// PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
- PdfT magicParam = 1.0/12.0; // 1/4: best stability; 1/12: removes third-order advection error (best advection); 1/6: removes fourth-order diffusion error (best diffusion); 3/16: exact location of bounce back for poiseuille flow
- PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+ // PdfT omegaOdd = 8.0*((F(2.0)-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
+ PdfT magicParam = F(1.0) / F(12.0);
+ // 1/ 4: best stability;
+ // 1/12: removes third-order advection error (best advection);
+ // 1/ 6: removes fourth-order diffusion error (best diffusion);
+ // 3/16: exact location of bounce back for poiseuille flow
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F( 3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
- PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
- PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+ PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0);
+ PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0);
PdfT ux, uy, uz, ui;
PdfT dens;
X_LIKWID_START("os");
#ifdef _OPENMP
- #pragma omp parallel for collapse(3) default(none) \
+ #pragma omp parallel for collapse(2) default(none) \
shared(gDims,src, dst, w_0, w_1, w_2, omegaEven, omegaOdd, \
w_1_x3, w_2_x3, w_1_nine_half, w_2_nine_half, cd, \
oX, oY, oZ, nX, nY, nZ) \
pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
evenPart, oddPart, w_1_indep, w_2_indep)
#endif
-
for (int x = oX; x < nX + oX; ++x) {
for (int y = oY; y < nY + oY; ++y) {
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+ #endif
for (int z = oZ; z < nZ + oZ; ++z) {
#define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
#ifdef LID_DRIVEN_CAVITY
if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1 * 0.577);
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
#ifdef PROP_MODEL_PUSH
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
-// PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
- PdfT magicParam = 1.0/12.0; // 1/4: best stability; 1/12: removes third-order advection error (best advection); 1/6: removes fourth-order diffusion error (best diffusion); 3/16: exact location of bounce back for poiseuille flow
- PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+ // PdfT omegaOdd = 8.0*((F(2.0)-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
+ PdfT magicParam = F(1.0)/F(12.0);
+ // 1/ 4: best stability;
+ // 1/12: removes third-order advection error (best advection);
+ // 1/ 6: removes fourth-order diffusion error (best diffusion);
+ // 3/16: exact location of bounce back for poiseuille flow
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F( 3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
- PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
- PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+ PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0);
+ PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0);
PdfT ux, uy, uz, ui;
PdfT dens;
for (int x = bX; x < eX; ++x) {
for (int y = bY; y < eY; ++y) {
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+ #endif
for (int z = bZ; z < eZ; ++z) {
#define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
#ifdef LID_DRIVEN_CAVITY
if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
- ux = 0.1 * 0.577;
+ ux = 0.1 * F(0.5)77;
uy = 0.0;
uz = 0.0;
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
#ifdef PROP_MODEL_PUSH
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
dst[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
dst[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
dst[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
dst[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
dst[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
dst[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
dst[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
dst[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
dst[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
dst[I(x, y, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
dst[I(x, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[I(x, y, z, D3Q19_T)] = pdf_T - evenPart - oddPart;
dst[I(x, y, z, D3Q19_B)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
dst[I(x, y, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
dst[I(x, y, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[I(x, y, z, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
dst[I(x, y, z, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
+ PdfT magicParam = F(1.0) / F(12.0);
// 1/4: best stability;
// 1/12: removes third-order advection error (best advection);
// 1/6: removes fourth-order diffusion error (best diffusion);
// 3/16: exact location of bounce back for poiseuille flow
- PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+ PdfT omegaOdd = F(1.0)/( F(0.5) + magicParam/(F(1.0)/omega - F(0.5)) );
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F(3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
- PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
- PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+ PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0);
+ PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0);
PdfT ux, uy, uz, ui;
PdfT dens;
for (int x = bX; x < eX; ++x) {
for (int y = bY; y < eY; ++y) {
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+ #endif
for (int z = bZ; z < eZ; ++z) {
#ifdef LID_DRIVEN_CAVITY
if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1) * F(0.5)77;
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
// direction: w_0
src[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[I(x, y, z, D3Q19_S)] = pdf_N - evenPart - oddPart;
src[I(x, y, z, D3Q19_N)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[I(x, y, z, D3Q19_W)] = pdf_E - evenPart - oddPart;
src[I(x, y, z, D3Q19_E)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[I(x, y, z, D3Q19_B)] = pdf_T - evenPart - oddPart;
src[I(x, y, z, D3Q19_T)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
src[I(x, y, z, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
src[I(x, y, z, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
src[I(x, y, z, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
src[I(x, y, z, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
src[I(x, y, z, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[I(x, y, z, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
src[I(x, y, z, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
#pragma omp parallel for default(none) \
shared(kd, src)
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
src[kd->BounceBackPdfsSrc[i]] = src[kd->BounceBackPdfsDst[i]];
}
for (int x = bX; x < eX; ++x) {
for (int y = bY; y < eY; ++y) {
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+ #endif
for (int z = bZ; z < eZ; ++z) {
#define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
#ifdef LID_DRIVEN_CAVITY
if (z == nZ - 4 + oZ && x > 3 + oX && x < (nX - 4 + oX) && y > 3 + oY && y < (nY - 4 + oY)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1) * F(0.5)77;
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
// direction: w_0
src[I(x, y, z, D3Q19_C)] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[I(x, y + 1, z, D3Q19_N)] = pdf_N - evenPart - oddPart;
src[I(x, y - 1, z, D3Q19_S)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[I(x + 1, y, z, D3Q19_E)] = pdf_E - evenPart - oddPart;
src[I(x - 1, y, z, D3Q19_W)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[I(x, y, z + 1, D3Q19_T)] = pdf_T - evenPart - oddPart;
src[I(x, y, z - 1, D3Q19_B)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[I(x - 1, y + 1, z, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
src[I(x + 1, y - 1, z, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[I(x + 1, y + 1, z, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
src[I(x - 1, y - 1, z, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[I(x - 1, y, z + 1, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
src[I(x + 1, y, z - 1, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[I(x + 1, y, z + 1, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
src[I(x - 1, y, z - 1, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[I(x, y - 1, z + 1, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
src[I(x, y + 1, z - 1, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[I(x, y + 1, z + 1, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
src[I(x, y - 1, z - 1, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
#pragma omp parallel for default(none) \
shared(kd, src)
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
src[kd->BounceBackPdfsDst[i]] = src[kd->BounceBackPdfsSrc[i]];
}
// kd->GetNode(kd, x, y, z, pdfs);
}
else {
- pdfs[dir] = -1.0;
+ pdfs[dir] = -F(1.0);
}
printf("%.16e ", pdfs[dir]);
Assert(kd != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelDataAa * kda = KDA(kd);
Assert(kd != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelDataAa * kda = KDA(kd);
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F(3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
- VPDFT VONE_HALF = VSET(0.5);
- VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
VPDFT vw_1_indep, vw_2_indep;
VPDFT vw_0 = VSET(w_0);
Assert(kd != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelDataAa * kda = KDA(kd);
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F(3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
- VPDFT VONE_HALF = VSET(0.5);
- VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
VPDFT vw_1_indep, vw_2_indep;
VPDFT vw_0 = VSET(w_0);
gDims[0] = lDims[0] + 2;
gDims[1] = lDims[1] + 2;
// TODO: fix this for aa-vec2-soa
- gDims[2] = lDims[2] + 4; // one ghost cell in front, one in the back, plus at most two at the back for VSIZE = 4
+ gDims[2] = lDims[2] + 2 + VSIZE - 2; // one ghost cell in front, one in the back, plus at most two at the back for VSIZE = 4
kd->Offsets[0] = 1;
kd->Offsets[1] = 1;
--- /dev/null
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
+//
+// --------------------------------------------------------------------------
+#include "BenchKernelD3Q19AaVecCommon.h"
+
+#include "Memory.h"
+#include "Vtk.h"
+#include "LikwidIf.h"
+#include "Vector.h"
+#include "Vector.h"
+
+#include <inttypes.h>
+#include <math.h>
+
+#ifdef _OPENMP
+ #include <omp.h>
+#endif
+
+static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd);
+static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd);
+
+#if 1 // {{{
+void DumpPdfs(LatticeDesc * ld, KernelData * kd, int zStart, int zStop, int iter, const char * prefix, int dir)
+{
+ int * gDims = kd->GlobalDims;
+
+ int nX = gDims[0];
+ int nY = gDims[1];
+ // int nZ = gDims[2];
+
+ PdfT pdfs[N_D3Q19];
+
+ int localZStart = zStart;
+ int localZStop = zStop;
+
+ if (localZStart == -1) localZStart = 0;
+ if (localZStop == -1) localZStop = gDims[2] - 1;
+
+ printf("D iter: %d dir: %d %s\n", iter, dir, D3Q19_NAMES[dir]);
+
+// for (int dir = 0; dir < 19; ++dir) {
+ for (int z = localZStop; z >= localZStart; --z) {
+ printf("D [%2d][%2d][%s] plane % 2d\n", iter, dir, prefix, z);
+
+ for(int y = 0; y < nY; ++y) {
+ // for(int y = 2; y < nY - 2; ++y) {
+ printf("D [%2d][%2d][%s] %2d ", iter, dir, prefix, y);
+
+ for(int x = 0; x < nX; ++x) {
+
+ if (1) { // ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) {
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+ pdfs[dir] = kd->PdfsActive[I(x, y, z, dir)];
+ #undef I
+ }
+ else {
+ pdfs[dir] = -1.0;
+ }
+
+ printf("%.16e ", pdfs[dir]);
+ // printf("%08.0f ", pdfs[dir]);
+ }
+
+ printf("\n");
+ }
+ }
+// }
+}
+#endif // }}}
+
+void FNAME(D3Q19AaVecSlKernel)(LatticeDesc * ld, KernelData * kd, CaseData * cd)
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > 0.0);
+ Assert(cd->Omega < 2.0);
+
+ KernelDataAa * kda = KDA(kd);
+
+ PdfT * src = kd->PdfsActive;
+
+ int maxIterations = cd->MaxIterations;
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, -1);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, 0);
+ #endif
+
+ Assert((maxIterations % 2) == 0);
+
+ #ifdef _OPENMP
+ #pragma omp parallel default(none) shared(kda, kd, ld, cd, src, maxIterations)
+ #endif
+ {
+ for (int iter = 0; iter < maxIterations; iter += 2) {
+
+ // --------------------------------------------------------------------
+ // even time step
+ // --------------------------------------------------------------------
+
+ X_LIKWID_START("aa-vec-even");
+
+ KernelEven(ld, kd, cd);
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+ X_LIKWID_STOP("aa-vec-even");
+
+ // Fixup bounce back PDFs.
+ #ifdef _OPENMP
+ #pragma omp for
+ #endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
+ for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
+ src[kd->BounceBackPdfsSrc[i]] = src[kd->BounceBackPdfsDst[i]];
+ }
+
+ #ifdef _OPENMP
+ #pragma omp single
+ #endif
+ {
+ // save current iteration
+ kda->Iteration = iter;
+
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, iter);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, iter);
+ #endif
+ }
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+
+ // --------------------------------------------------------------------
+ // odd time step
+ // --------------------------------------------------------------------
+
+ X_LIKWID_START("aa-vec-odd");
+
+
+ KernelOddVecSl(ld, kd, cd);
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+ // Stop counters before bounce back. Else computing loop balance will
+ // be incorrect.
+
+ X_LIKWID_STOP("aa-vec-odd");
+
+ // Fixup bounce back PDFs.
+ #ifdef _OPENMP
+ #pragma omp for
+ #endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
+ for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
+ src[kd->BounceBackPdfsDst[i]] = src[kd->BounceBackPdfsSrc[i]];
+ }
+
+ #ifdef _OPENMP
+ #pragma omp single
+ #endif
+ {
+ // save current iteration
+ kda->Iteration = iter + 1;
+
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput && ((iter + 1) % cd->VtkModulus) == 0) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, iter + 1);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, iter + 1);
+ #endif
+ }
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+ } // for (int iter = 0; ...
+ } // omp parallel
+
+ #ifdef VTK_OUTPUT
+
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, maxIterations);
+ }
+
+ #endif
+
+ return;
+}
+
+static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
+
+ KernelDataAa * kda = KDA(kd);
+
+ int nX = ld->Dims[0];
+ int nY = ld->Dims[1];
+ int nZ = ld->Dims[2];
+
+ int * gDims = kd->GlobalDims;
+
+ int oX = kd->Offsets[0];
+ int oY = kd->Offsets[1];
+ int oZ = kd->Offsets[2];
+
+ int blk[3];
+ blk[0] = kda->Blk[0];
+ blk[1] = kda->Blk[1];
+ blk[2] = kda->Blk[2];
+
+ PdfT omega = cd->Omega;
+ PdfT omegaEven = omega;
+
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
+
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
+
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
+
+
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
+
+ VPDFT vw_1_indep, vw_2_indep;
+ VPDFT vw_0 = VSET(w_0);
+ VPDFT vw_1 = VSET(w_1);
+ VPDFT vw_2 = VSET(w_2);
+
+ VPDFT vw_1_x3 = VSET(w_1_x3);
+ VPDFT vw_2_x3 = VSET(w_2_x3);
+ VPDFT vw_1_nine_half = VSET(w_1_nine_half);
+ VPDFT vw_2_nine_half = VSET(w_2_nine_half);
+
+ VPDFT vui, vux, vuy, vuz, vdens;
+
+ VPDFT vevenPart, voddPart, vdir_indep_trm;
+
+ VPDFT vomegaEven = VSET(omegaEven);
+ VPDFT vomegaOdd = VSET(omegaOdd);
+
+ VPDFT vpdf_a, vpdf_b;
+
+ // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
+ #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,name);
+ D3Q19_LIST
+ #undef X
+
+ PdfT * src = kd->Pdfs[0];
+
+ int nThreads = 1;
+ int threadId = 0;
+
+ #ifdef _OPENMP
+ nThreads = omp_get_max_threads();
+ threadId = omp_get_thread_num();
+ #endif
+
+ const int nodesPlane = gDims[1] * gDims[2];
+ const int nodesCol = gDims[2];
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+
+// TODO: make inline function out of macros.
+
+ #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z))
+ #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y);
+
+ int startX = oX;
+ int startY = oY;
+ int startZ = oZ;
+
+ int indexStart = IMPLODE(startX, startY, startZ);
+ int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1);
+
+ // How many cells as multiples of VSIZE do we have (rounded up)?
+ int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE;
+
+ int threadStart = nVCells / nThreads * threadId;
+ int threadEnd = nVCells / nThreads * (threadId + 1);
+
+ if (nVCells % nThreads > threadId) {
+ threadStart += threadId;
+ threadEnd += threadId + 1;
+ }
+ else {
+ threadStart += nVCells % nThreads;
+ threadEnd += nVCells % nThreads;
+ }
+
+ threadStart *= VSIZE;
+ threadEnd *= VSIZE;
+
+ // As threadStart/End is now in the granularity of cells we add the start offset.
+ threadStart += indexStart;
+ threadEnd += indexStart;
+
+ EXPLODE(threadStart, startX, startY, startZ);
+
+ #undef EXPLODE
+ #undef IMPLODE
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &src[I(startX, startY, startZ, idx)];
+ D3Q19_LIST
+ #undef X
+
+ // printf("e thread %d idx start: %d end: %d thread start: %d end: %d\n",
+ // threadId, indexStart, indexEnd, threadStart, threadEnd);
+
+
+ for (int i = threadStart; i < threadEnd; i += VSIZE) {
+
+ // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
+ // #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(&src[I(x, y, z, idx)]);
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name));
+ D3Q19_LIST
+ #undef X
+
+
+ vux = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_E,VADD(vpdf_NE,vpdf_SE)),VADD(vpdf_TE,vpdf_BE)),vpdf_W),vpdf_NW),vpdf_SW),vpdf_TW),vpdf_BW);
+ vuy = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_N,VADD(vpdf_NE,vpdf_NW)),VADD(vpdf_TN,vpdf_BN)),vpdf_S),vpdf_SE),vpdf_SW),vpdf_TS),vpdf_BS);
+ vuz = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_T,VADD(vpdf_TE,vpdf_TW)),VADD(vpdf_TN,vpdf_TS)),vpdf_B),vpdf_BE),vpdf_BW),vpdf_BN),vpdf_BS);
+
+ vdens = VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(vpdf_C,VADD(vpdf_N,vpdf_E)),VADD(vpdf_S,vpdf_W)),VADD(vpdf_NE,vpdf_SE)),
+ VADD(vpdf_SW,vpdf_NW)),VADD(vpdf_T,vpdf_TN)),VADD(vpdf_TE,vpdf_TS)),VADD(vpdf_TW,vpdf_B)),
+ VADD(vpdf_BN,vpdf_BE)),VADD(vpdf_BS,vpdf_BW));
+
+ vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
+
+ VSTU(ppdf_C, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
+
+ vw_1_indep = VMUL(vw_1,vdir_indep_trm);
+ vw_2_indep = VMUL(vw_2,vdir_indep_trm);
+
+#if defined(LOOP_1) || defined(LOOP_2)
+ #error Loop macros are not allowed to be defined here.
+#endif
+
+ #define LOOP_1(_dir1, _dir2, _vel) \
+ vui = _vel; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ #define LOOP_2(_dir1, _dir2, _expr) \
+ vui = _expr; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ LOOP_1(N, S, vuy);
+ LOOP_1(E, W, vux);
+ LOOP_1(T, B, vuz);
+
+ LOOP_2(NW, SE, VSUB(vuy, vux));
+ LOOP_2(NE, SW, VADD(vuy, vux));
+ LOOP_2(TW, BE, VSUB(vuz, vux));
+ LOOP_2(TE, BW, VADD(vuz, vux));
+ LOOP_2(TS, BN, VSUB(vuz, vuy));
+ LOOP_2(TN, BS, VADD(vuz, vuy));
+
+ #undef LOOP_1
+ #undef LOOP_2
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) += VSIZE;
+ D3Q19_LIST
+ #undef X
+ }
+
+ #undef I
+
+ return;
+} // }}}
+
+
+static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > 0.0);
+ Assert(cd->Omega < F(2.0));
+
+ KernelDataAa * kda = KDA(kd);
+
+ int nX = ld->Dims[0];
+ int nY = ld->Dims[1];
+ int nZ = ld->Dims[2];
+
+ int * gDims = kd->GlobalDims;
+
+ int oX = kd->Offsets[0];
+ int oY = kd->Offsets[1];
+ int oZ = kd->Offsets[2];
+
+ int blk[3];
+ blk[0] = kda->Blk[0];
+ blk[1] = kda->Blk[1];
+ blk[2] = kda->Blk[2];
+
+ PdfT omega = cd->Omega;
+ PdfT omegaEven = omega;
+
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
+
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
+
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
+
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
+
+ VPDFT vw_1_indep, vw_2_indep;
+ VPDFT vw_0 = VSET(w_0);
+ VPDFT vw_1 = VSET(w_1);
+ VPDFT vw_2 = VSET(w_2);
+
+ VPDFT vw_1_x3 = VSET(w_1_x3);
+ VPDFT vw_2_x3 = VSET(w_2_x3);
+ VPDFT vw_1_nine_half = VSET(w_1_nine_half);
+ VPDFT vw_2_nine_half = VSET(w_2_nine_half);
+
+ VPDFT vui, vux, vuy, vuz, vdens;
+
+ VPDFT vevenPart, voddPart, vdir_indep_trm;
+
+ VPDFT vomegaEven = VSET(omegaEven);
+ VPDFT vomegaOdd = VSET(omegaOdd);
+
+ VPDFT vpdf_a, vpdf_b;
+
+ // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
+ #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,idx);
+ D3Q19_LIST
+ #undef X
+
+ PdfT * src = kd->Pdfs[0];
+
+ int nThreads = 1;
+ int threadId = 0;
+
+ #ifdef _OPENMP
+ nThreads = omp_get_max_threads();
+ threadId = omp_get_thread_num();
+ #endif
+
+ const int nodesPlane = gDims[1] * gDims[2];
+ const int nodesCol = gDims[2];
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+
+// TODO: make inline function out of macros.
+
+ #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z))
+ #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y);
+
+ int startX = oX;
+ int startY = oY;
+ int startZ = oZ;
+
+ int indexStart = IMPLODE(startX, startY, startZ);
+ int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1);
+
+ // How many multiples of VSIZE cells (rounded up) do we have?
+ int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE;
+
+ int threadStart = nVCells / nThreads * threadId;
+ int threadEnd = nVCells / nThreads * (threadId + 1);
+
+ if (nVCells % nThreads > threadId) {
+ threadStart += threadId;
+ threadEnd += threadId + 1;
+ }
+ else {
+ threadStart += nVCells % nThreads;
+ threadEnd += nVCells % nThreads;
+ }
+
+ threadStart *= VSIZE;
+ threadEnd *= VSIZE;
+
+ // As threadStart/End is now in the granularity of cells we add the start offset.
+ threadStart += indexStart;
+ threadEnd += indexStart;
+
+ EXPLODE(threadStart, startX, startY, startZ);
+
+ #undef EXPLODE
+ #undef IMPLODE
+
+ // printf("o thread %d idx start: %d end: %d thread start: %d end: %d\n",
+ // threadId, indexStart, indexEnd, threadStart, threadEnd);
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)];
+ D3Q19_LIST
+ #undef X
+
+#if DEBUG_EXTENDED
+
+ #define X(name, idx, idxinv, x, y, z) PdfT * JOIN(ppdf_start_,idx), * JOIN(ppdf_end_,idx);
+ D3Q19_LIST
+ #undef X
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_start_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)];
+ D3Q19_LIST
+ #undef X
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_end_,idx) = &src[I(startX + nX - 1 + _x, startY + nY - 1 + _y, startZ + nZ - 1 + _z, idx)];
+ D3Q19_LIST
+ #undef X
+
+#if 0
+ #define X(name, idx, idxinv, _x, _y, _z) printf("%2s ppdf_%d = %p (%d %d %d) (%d %d %d)\n", STRINGIFY(name), idx, JOIN(ppdf_,idx), \
+startX , startY , startZ , startX + _x, startY + _y, startZ + _z);
+ D3Q19_LIST
+ #undef X
+#endif
+
+#endif // DEBUG_EXTENDED
+
+
+ for (int i = threadStart; i < threadEnd; i += VSIZE) {
+
+#if DEBUG_EXTENDED
+ #define X(name, idx, idxinv, _x, _y, _z) Assert((unsigned long)(JOIN(ppdf_,idx)) >= (unsigned long)(JOIN(ppdf_start_,idx))); Assert((unsigned long)(JOIN(ppdf_,idx)) <= (unsigned long)(JOIN(ppdf_end_,idx)));
+ D3Q19_LIST
+ #undef X
+#endif
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,idxinv));
+ D3Q19_LIST
+ #undef X
+
+ vux = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_E,VADD(vpdf_NE,vpdf_SE)),VADD(vpdf_TE,vpdf_BE)),vpdf_W),vpdf_NW),vpdf_SW),vpdf_TW),vpdf_BW);
+ vuy = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_N,VADD(vpdf_NE,vpdf_NW)),VADD(vpdf_TN,vpdf_BN)),vpdf_S),vpdf_SE),vpdf_SW),vpdf_TS),vpdf_BS);
+ vuz = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_T,VADD(vpdf_TE,vpdf_TW)),VADD(vpdf_TN,vpdf_TS)),vpdf_B),vpdf_BE),vpdf_BW),vpdf_BN),vpdf_BS);
+
+ vdens = VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(vpdf_C,VADD(vpdf_N,vpdf_E)),VADD(vpdf_S,vpdf_W)),VADD(vpdf_NE,vpdf_SE)),
+ VADD(vpdf_SW,vpdf_NW)),VADD(vpdf_T,vpdf_TN)),VADD(vpdf_TE,vpdf_TS)),VADD(vpdf_TW,vpdf_B)),VADD(vpdf_BN,vpdf_BE)),VADD(vpdf_BS,vpdf_BW));
+
+ vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
+
+ // ppdf_18 is the pointer to the center pdfs.
+ VSTU(ppdf_18, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
+
+ vw_1_indep = VMUL(vw_1,vdir_indep_trm);
+ vw_2_indep = VMUL(vw_2,vdir_indep_trm);
+
+#if defined(LOOP_1) || defined(LOOP_2)
+ #error Loop macros are not allowed to be defined here.
+#endif
+
+ #define LOOP_1(_dir1, _dir2, _idx1, _idx2, _vel) \
+ vui = _vel; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ #define LOOP_2(_dir1, _dir2, _idx1, _idx2, _expr) \
+ vui = _expr; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+
+ LOOP_1(N, S, D3Q19_N, D3Q19_S, vuy);
+ LOOP_1(E, W, D3Q19_E, D3Q19_W, vux);
+ LOOP_1(T, B, D3Q19_T, D3Q19_B, vuz);
+
+ LOOP_2(NW, SE, D3Q19_NW, D3Q19_SE, VSUB(vuy, vux));
+ LOOP_2(NE, SW, D3Q19_NE, D3Q19_SW, VADD(vuy, vux));
+ LOOP_2(TW, BE, D3Q19_TW, D3Q19_BE, VSUB(vuz, vux));
+ LOOP_2(TE, BW, D3Q19_TE, D3Q19_BW, VADD(vuz, vux));
+ LOOP_2(TS, BN, D3Q19_TS, D3Q19_BN, VSUB(vuz, vuy));
+ LOOP_2(TN, BS, D3Q19_TN, D3Q19_BS, VADD(vuz, vuy));
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) += VSIZE;
+ D3Q19_LIST
+ #undef X
+ }
+
+ #undef I
+
+ return;
+
+} // }}}
--- /dev/null
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
+//
+// --------------------------------------------------------------------------
+#ifndef __BENCH_KERNEL_D3Q19_AA_VEC_SL__
+#define __BENCH_KERNEL_D3Q19_AA_VEC_SL__
+
+#include "Kernel.h"
+
+
+void D3Q19AaVecSlInit_AaSoA(LatticeDesc * ld, KernelData ** kernelData, Parameters * params);
+void D3Q19AaVecSlDeinit_AaSoA(LatticeDesc * ld, KernelData ** kernelData);
+
+
+
+#endif // __BENCH_KERNEL_D3Q19_AA_VEC_SL__
--- /dev/null
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
+//
+// --------------------------------------------------------------------------
+#include "BenchKernelD3Q19AaVecSlCommon.h"
+#include "BenchKernelD3Q19AaVec.h"
+
+
+#include "Memory.h"
+#include "Vtk.h"
+#include "Vector.h"
+
+#include <inttypes.h>
+#include <math.h>
+
+#ifdef _OPENMP
+ #include <omp.h>
+#endif
+
+// Forward definition.
+void FNAME(D3Q19AaVecSlKernel)(LatticeDesc * ld, struct KernelData_ * kd, CaseData * cd);
+
+void FNAME(D3Q19AaVecSlInit)(LatticeDesc * ld, KernelData ** kd, Parameters * params)
+{
+ FNAME(D3Q19AaVecInit)(ld, kd, params);
+
+ (*kd)->Kernel = FNAME(D3Q19AaVecSlKernel);
+
+ return;
+}
+
+void FNAME(D3Q19AaVecSlDeinit)(LatticeDesc * ld, KernelData ** kd)
+{
+ FNAME(D3Q19AaVecDeinit)(ld, kd);
+
+ return;
+}
+
--- /dev/null
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
+//
+// --------------------------------------------------------------------------
+#ifndef __BENCH_KERNEL_D3Q19_AA_VEC_SL_COMMON_H__
+#define __BENCH_KERNEL_D3Q19_AA_VEC_SL_COMMON_H__
+
+
+#include "Kernel.h"
+
+#include "BenchKernelD3Q19AaVecCommon.h"
+
+
+#endif // __BENCH_KERNEL_D3Q19_AA_VEC_SL_COMMON_H__
+
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = (KernelDataList *)kernelData;
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
-// PdfT omegaOdd = 8.0*((2.0-omegaEven)/(8.0-omegaEven)); //"standard" trt odd relaxation parameter
- PdfT magicParam = 1.0/12.0; // 1/4: best stability; 1/12: removes third-order advection error (best advection); 1/6: removes fourth-order diffusion error (best diffusion); 3/16: exact location of bounce back for poiseuille flow
- PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) /(F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F( 3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
- PdfT w_1_x3 = w_1 * 3.0; PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
- PdfT w_2_x3 = w_2 * 3.0; PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+ PdfT w_1_x3 = w_1 * F(3.0); PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); PdfT w_1_indep = F(0.0);
+ PdfT w_2_x3 = w_2 * F(3.0); PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); PdfT w_2_indep = F(0.0);
PdfT ux, uy, uz, ui;
PdfT dens;
pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
evenPart, oddPart, w_1_indep, w_2_indep)
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
for (int index = 0; index < nFluid; ++index) {
#define I(index, dir) P_INDEX_3((nCells), (index), (dir))
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
#ifdef PROP_MODEL_PUSH
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[adjList[adjListIndex + D3Q19_N]] = pdf_N - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_S]] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[adjList[adjListIndex + D3Q19_E]] = pdf_E - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_W]] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[adjList[adjListIndex + D3Q19_T]] = pdf_T - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_B]] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_NW]] = pdf_NW - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_SE]] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_NE]] = pdf_NE - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_SW]] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_TW]] = pdf_TW - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_BE]] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_TE]] = pdf_TE - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_BW]] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_TS]] = pdf_TS - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_BN]] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[adjList[adjListIndex + D3Q19_TN]] = pdf_TN - evenPart - oddPart;
dst[adjList[adjListIndex + D3Q19_BS]] = pdf_BS - evenPart + oddPart;
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
dst[I(index, D3Q19_N )] = pdf_N - evenPart - oddPart;
dst[I(index, D3Q19_S )] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
dst[I(index, D3Q19_E )] = pdf_E - evenPart - oddPart;
dst[I(index, D3Q19_W )] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
dst[I(index, D3Q19_T )] = pdf_T - evenPart - oddPart;
dst[I(index, D3Q19_B )] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
dst[I(index, D3Q19_NW)] = pdf_NW - evenPart - oddPart;
dst[I(index, D3Q19_SE)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
dst[I(index, D3Q19_NE)] = pdf_NE - evenPart - oddPart;
dst[I(index, D3Q19_SW)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
dst[I(index, D3Q19_TW)] = pdf_TW - evenPart - oddPart;
dst[I(index, D3Q19_BE)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
dst[I(index, D3Q19_TE)] = pdf_TE - evenPart - oddPart;
dst[I(index, D3Q19_BW)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
dst[I(index, D3Q19_TS)] = pdf_TS - evenPart - oddPart;
dst[I(index, D3Q19_BN)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
dst[I(index, D3Q19_TN)] = pdf_TN - evenPart - oddPart;
dst[I(index, D3Q19_BS)] = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = (KernelDataList *)kernelData;
// 1/12: removes third-order advection error (best advection);
// 1/6: removes fourth-order diffusion error (best diffusion);
// 3/16: exact location of bounce back for poiseuille flow
- PdfT magicParam = 1.0/12.0;
- PdfT omegaOdd = 1.0/( 0.5 + magicParam/(1.0/omega - 0.5) );
+ PdfT magicParam = F(1.0)/F(12.0);
+ PdfT omegaOdd = F(1.0)/( F(0.5) + magicParam/(F(1.0)/omega - F(0.5)) );
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F(3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0/2.0; PdfT w_1_indep = 0.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0/2.0; PdfT w_2_indep = 0.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0)/F(2.0); PdfT w_1_indep = F(0.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0)/F(2.0); PdfT w_2_indep = F(0.0);
PdfT ui;
X_LIKWID_START("list-aa-even");
- #ifdef _OPENMP
+#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
- #endif
+#endif
+#ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+#endif
for (int index = 0; index < nFluid; ++index) {
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
// direction: w_0
src[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[I(index, D3Q19_S)] = pdf_N - evenPart - oddPart;
src[I(index, D3Q19_N)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[I(index, D3Q19_W)] = pdf_E - evenPart - oddPart;
src[I(index, D3Q19_E)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[I(index, D3Q19_B)] = pdf_T - evenPart - oddPart;
src[I(index, D3Q19_T)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
+#endif
+#ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
#endif
for (int index = 0; index < nFluid; ++index) {
int z = kdl->Coords[C_INDEX_Z(index)];
if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1) * F(0.5)77;
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
adjListIndex = index * N_D3Q19_IDX;
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[adjList[adjListIndex + D3Q19_N]] = pdf_N - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_S]] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[adjList[adjListIndex + D3Q19_E]] = pdf_E - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_W]] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[adjList[adjListIndex + D3Q19_T]] = pdf_T - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_B]] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_NW]] = pdf_NW - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_SE]] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_NE]] = pdf_NE - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_SW]] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_TW]] = pdf_TW - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_BE]] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_TE]] = pdf_TE - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_BW]] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_TS]] = pdf_TS - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_BN]] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[adjList[adjListIndex + D3Q19_TN]] = pdf_TN - evenPart - oddPart;
src[adjList[adjListIndex + D3Q19_BS]] = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));;
#if defined(VTK_OUTPUT) || defined(STATISTICS) || defined(VERIFICATION)
KernelData * kd = (KernelData *)kernelData;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = KDL(kernelData);
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0; PdfT w_1_indep = 0.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0; PdfT w_2_indep = 0.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); PdfT w_1_indep = F(0.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); PdfT w_2_indep = F(0.0);
PdfT ui;
PdfT dens;
- VPDFT VONE_HALF = VSET(0.5);
- VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
VPDFT vw_1_indep, vw_2_indep;
VPDFT vw_0 = VSET(w_0);
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
// direction: w_0
src[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[I(index, D3Q19_S)] = pdf_N - evenPart - oddPart;
src[I(index, D3Q19_N)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[I(index, D3Q19_W)] = pdf_E - evenPart - oddPart;
src[I(index, D3Q19_E)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[I(index, D3Q19_B)] = pdf_T - evenPart - oddPart;
src[I(index, D3Q19_T)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = KDL(kernelData);
PdfT omega = cd->Omega;
PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0; PdfT w_1_indep = 0.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0; PdfT w_2_indep = 0.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); PdfT w_1_indep = F(0.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); PdfT w_2_indep = F(0.0);
PdfT ui;
PdfT dens;
- VPDFT VONE_HALF = VSET(0.5);
- VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
VPDFT vw_1_indep, vw_2_indep;
VPDFT vw_0 = VSET(w_0);
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
adjListIndex = index * N_D3Q19_IDX;
w_1_indep = w_1 * dir_indep_trm;
ui = uy;
- evenPart = omegaEven * (0.5 * (pdf_N + pdf_S) - ui * ui * w_1_nine_half - w_1_indep);
- oddPart = omegaOdd * (0.5 * (pdf_N - pdf_S) - ui * w_1_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_N + pdf_S) - ui * ui * w_1_nine_half - w_1_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_N - pdf_S) - ui * w_1_x3);
*ppdf_S = pdf_N - evenPart - oddPart;
*ppdf_N = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven * (0.5 * (pdf_E + pdf_W) - ui * ui * w_1_nine_half - w_1_indep);
- oddPart = omegaOdd * (0.5 * (pdf_E - pdf_W) - ui * w_1_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_E + pdf_W) - ui * ui * w_1_nine_half - w_1_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_E - pdf_W) - ui * w_1_x3);
*ppdf_W = pdf_E - evenPart - oddPart;
*ppdf_E = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven * (0.5 * (pdf_T + pdf_B) - ui * ui * w_1_nine_half - w_1_indep);
- oddPart = omegaOdd * (0.5 * (pdf_T - pdf_B) - ui * w_1_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_T + pdf_B) - ui * ui * w_1_nine_half - w_1_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_T - pdf_B) - ui * w_1_x3);
*ppdf_B = pdf_T - evenPart - oddPart;
*ppdf_T = pdf_B - evenPart + oddPart;
w_2_indep = w_2 * dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven * (0.5 * (pdf_NW + pdf_SE) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_NW - pdf_SE) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_NW + pdf_SE) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_NW - pdf_SE) - ui * w_2_x3);
*ppdf_SE = pdf_NW - evenPart - oddPart;
*ppdf_NW = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven * (0.5 * (pdf_NE + pdf_SW) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_NE - pdf_SW) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_NE + pdf_SW) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_NE - pdf_SW) - ui * w_2_x3);
*ppdf_SW = pdf_NE - evenPart - oddPart;
*ppdf_NE = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven * (0.5 * (pdf_TW + pdf_BE) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_TW - pdf_BE) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_TW + pdf_BE) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_TW - pdf_BE) - ui * w_2_x3);
*ppdf_BE = pdf_TW - evenPart - oddPart;
*ppdf_TW = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven * (0.5 * (pdf_TE + pdf_BW) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_TE - pdf_BW) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_TE + pdf_BW) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_TE - pdf_BW) - ui * w_2_x3);
*ppdf_BW = pdf_TE - evenPart - oddPart;
*ppdf_TE = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven * (0.5 * (pdf_TS + pdf_BN) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_TS - pdf_BN) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_TS + pdf_BN) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_TS - pdf_BN) - ui * w_2_x3);
*ppdf_BN = pdf_TS - evenPart - oddPart;
*ppdf_TS = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven * (0.5 * (pdf_TN + pdf_BS) - ui * ui * w_2_nine_half - w_2_indep);
- oddPart = omegaOdd * (0.5 * (pdf_TN - pdf_BS) - ui * w_2_x3);
+ evenPart = omegaEven * (F(0.5) * (pdf_TN + pdf_BS) - ui * ui * w_2_nine_half - w_2_indep);
+ oddPart = omegaOdd * (F(0.5) * (pdf_TN - pdf_BS) - ui * w_2_x3);
*ppdf_BS = pdf_TN - evenPart - oddPart;
*ppdf_TN = pdf_BS - evenPart + oddPart;
// 1/12: removes third-order advection error (best advection);
// 1/ 6: removes fourth-order diffusion error (best diffusion);
// 3/16: exact location of bounce back for poiseuille flow
- PdfT magicParam = 1.0 / 12.0;
- PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- PdfT evenPart = 0.0;
- PdfT oddPart = 0.0;
- PdfT dir_indep_trm = 0.0;
+ PdfT evenPart = F(0.0);
+ PdfT oddPart = F(0.0);
+ PdfT dir_indep_trm = F(0.0);
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F(3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0; PdfT w_1_indep = 0.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0; PdfT w_2_indep = 0.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); PdfT w_1_indep = F(0.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); PdfT w_2_indep = F(0.0);
PdfT ui;
pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #pragma vector always
+ #pragma simd
+ #endif
for (int index = 0; index < nFluid; ++index) {
#define I(index, dir) P_INDEX_3((nCells), (index), (dir))
int z = kdl->Coords[C_INDEX_Z(index)];
if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1) * F(0.5)77;
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
// direction: w_0
src[I(index, D3Q19_C) ] = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
src[I(index, D3Q19_S)] = pdf_N - evenPart - oddPart;
src[I(index, D3Q19_N)] = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
src[I(index, D3Q19_W)] = pdf_E - evenPart - oddPart;
src[I(index, D3Q19_E)] = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
src[I(index, D3Q19_B)] = pdf_T - evenPart - oddPart;
src[I(index, D3Q19_T)] = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
int indexStart = threadIndices[threadId];
int indexStop = threadIndices[threadId] + nFluidThread;
+ // Because of runlength coding iterations are not independent.
for (int index = indexStart; index < indexStop; ++index) {
#define I(index, dir) P_INDEX_3((nCells), (index), (dir))
int z = kdl->Coords[C_INDEX_Z(index)];
if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
- ux = 0.1 * 0.577;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.1) * F(0.5)77;
+ uy = F(0.0);
+ uz = F(0.0);
} else {
#endif
ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
adjListIndex = index * N_D3Q19_IDX;
w_1_indep = w_1*dir_indep_trm;
ui = uy;
- evenPart = omegaEven*( 0.5*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_N - pdf_S) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
*ppdf_S = pdf_N - evenPart - oddPart;
*ppdf_N = pdf_S - evenPart + oddPart;
ui = ux;
- evenPart = omegaEven*( 0.5*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_E - pdf_W) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
*ppdf_W = pdf_E - evenPart - oddPart;
*ppdf_E = pdf_W - evenPart + oddPart;
ui = uz;
- evenPart = omegaEven*( 0.5*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
- oddPart = omegaOdd*(0.5*(pdf_T - pdf_B) - ui*w_1_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
*ppdf_B = pdf_T - evenPart - oddPart;
*ppdf_T = pdf_B - evenPart + oddPart;
w_2_indep = w_2*dir_indep_trm;
ui = -ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NW - pdf_SE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
*ppdf_SE = pdf_NW - evenPart - oddPart;
*ppdf_NW = pdf_SE - evenPart + oddPart;
ui = ux + uy;
- evenPart = omegaEven*( 0.5*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_NE - pdf_SW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
*ppdf_SW = pdf_NE - evenPart - oddPart;
*ppdf_NE = pdf_SW - evenPart + oddPart;
ui = -ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TW - pdf_BE) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
*ppdf_BE = pdf_TW - evenPart - oddPart;
*ppdf_TW = pdf_BE - evenPart + oddPart;
ui = ux + uz;
- evenPart = omegaEven*( 0.5*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TE - pdf_BW) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
*ppdf_BW = pdf_TE - evenPart - oddPart;
*ppdf_TE = pdf_BW - evenPart + oddPart;
ui = -uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TS - pdf_BN) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
*ppdf_BN = pdf_TS - evenPart - oddPart;
*ppdf_TS = pdf_BN - evenPart + oddPart;
ui = uy + uz;
- evenPart = omegaEven*( 0.5*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
- oddPart = omegaOdd*(0.5*(pdf_TN - pdf_BS) - ui*w_2_x3 );
+ evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
+ oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
*ppdf_BS = pdf_TN - evenPart - oddPart;
*ppdf_TN = pdf_BS - evenPart + oddPart;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = KDL(kernelData);
PdfT omega = cd->Omega;
const PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- const PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ const PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
const VPDFT vw_1_x3 = VSET(w_1_x3);
const VPDFT vw_2_x3 = VSET(w_2_x3);
const VPDFT vomegaEven = VSET(omegaEven);
const VPDFT vomegaOdd = VSET(omegaOdd);
- const VPDFT voneHalf = VSET(0.5);
+ const VPDFT voneHalf = VSET(F(0.5));
// uint32_t nConsecNodes = kdlr->nConsecNodes;
// uint32_t * consecNodes = kdlr->ConsecNodes;
Assert(kernelData != NULL);
Assert(cd != NULL);
- Assert(cd->Omega > 0.0);
- Assert(cd->Omega < 2.0);
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
KernelData * kd = (KernelData *)kernelData;
KernelDataList * kdl = KDL(kernelData);
PdfT omega = cd->Omega;
const PdfT omegaEven = omega;
- PdfT magicParam = 1.0 / 12.0;
- const PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
+ PdfT magicParam = F(1.0) / F(12.0);
+ const PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
- const PdfT w_0 = 1.0 / 3.0;
- const PdfT w_1 = 1.0 / 18.0;
- const PdfT w_2 = 1.0 / 36.0;
-
- const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0;
- const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0;
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
const VPDFT vw_1_x3 = VSET(w_1_x3);
const VPDFT vw_2_x3 = VSET(w_2_x3);
const VPDFT vomegaEven = VSET(omegaEven);
const VPDFT vomegaOdd = VSET(omegaOdd);
- const VPDFT voneHalf = VSET(0.5);
+ const VPDFT voneHalf = VSET(F(0.5));
// uint32_t nConsecNodes = kdlr->nConsecNodes;
// uint32_t * consecNodes = kdlr->ConsecNodes;
#ifdef DEBUG
memset(tmpArray, -1, sizeof(PdfT) * nTmpArray * N_TMP);
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
for (int index = 0; index < indexMax; ++index) {
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * 3.0 / 2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
w_1_indep = w_1 * dir_indep_trm;
w_2_indep = w_2 * dir_indep_trm;
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * 3.0 / 2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
w_1_indep = w_1 * dir_indep_trm;
w_2_indep = w_2 * dir_indep_trm;
w_1_indep = tmpArray[TMP_INDEX(index, TMP_W1)]; \
\
ui = _vel; \
- evenPart = omegaEven * (0.5 * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
- oddPart = omegaOdd * (0.5 * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_1_x3); \
+ evenPart = omegaEven * (F(0.5) * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
+ oddPart = omegaOdd * (F(0.5) * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_1_x3); \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir1) )] = JOIN(pdf_,_dir1) - evenPart - oddPart; \
tmpArray[TMP_INDEX(index, JOIN(D3Q19_,_dir2))] = JOIN(pdf_,_dir2) - evenPart + oddPart; \
} \
w_2_indep = tmpArray[TMP_INDEX(index, TMP_W2)]; \
\
ui = _expr; \
- evenPart = omegaEven * (0.5 * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
- oddPart = omegaOdd * (0.5 * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_2_x3); \
+ evenPart = omegaEven * (F(0.5) * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
+ oddPart = omegaOdd * (F(0.5) * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_2_x3); \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir1))] = JOIN(pdf_,_dir1) - evenPart - oddPart; \
tmpArray[TMP_INDEX(index, JOIN(D3Q19_,_dir2))] = JOIN(pdf_,_dir2) - evenPart + oddPart; \
} \
#ifdef DEBUG
memset(tmpArray, -1, sizeof(PdfT) * nTmpArray * N_TMP);
#endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
for (int index = 0; index < indexMax; ++index) {
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * 3.0 / 2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
w_1_indep = w_1 * dir_indep_trm;
w_2_indep = w_2 * dir_indep_trm;
pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
- dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * 3.0 / 2.0;
+ dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz) * F(3.0) / F(2.0);
w_1_indep = w_1 * dir_indep_trm;
w_2_indep = w_2 * dir_indep_trm;
w_1_indep = tmpArray[TMP_INDEX(index, TMP_W1)]; \
\
ui = _vel; \
- evenPart = omegaEven * (0.5 * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
- oddPart = omegaOdd * (0.5 * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_1_x3); \
+ evenPart = omegaEven * (F(0.5) * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
+ oddPart = omegaOdd * (F(0.5) * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_1_x3); \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir1) )] = JOIN(pdf_,_dir1) - evenPart - oddPart; \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir2) )] = JOIN(pdf_,_dir2) - evenPart + oddPart; \
}
w_2_indep = tmpArray[TMP_INDEX(index, TMP_W2)]; \
\
ui = _expr; \
- evenPart = omegaEven * (0.5 * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
- oddPart = omegaOdd * (0.5 * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_2_x3); \
+ evenPart = omegaEven * (F(0.5) * (JOIN(pdf_,_dir1) + JOIN(pdf_,_dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
+ oddPart = omegaOdd * (F(0.5) * (JOIN(pdf_,_dir1) - JOIN(pdf_,_dir2)) - ui * w_2_x3); \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir1))] = JOIN(pdf_,_dir1) - evenPart - oddPart; \
dst[I(index + blockedIndex, JOIN(D3Q19_,_dir2))] = JOIN(pdf_,_dir2) - evenPart + oddPart; \
}
--- /dev/null
+#ifndef __CONFIG_H__
+#define __CONFIG_H__
+
+#ifdef __INTEL_COMPILER
+ #define INTEL_OPT_DIRECTIVES
+#endif
+
+#endif // __CONFIG_H__
#include <errno.h>
+static const char * g_geoTypeStr[] = { "box", "channel", "pipe", "blocks", "fluid" };
+
void GeoCreateByStr(const char * geometryType, int dims[3], int periodic[3], LatticeDesc * ld)
{
int type = -1;
Assert(type >= GEO_TYPE_MIN);
Assert(type <= GEO_TYPE_MAX);
- const char * geoTypeStr[] = { "box", "channel", "pipe", "blocks", "fluid" };
+ // const char * geoTypeStr[] = { "box", "channel", "pipe", "blocks", "fluid" };
- printf("# geometry: %d x %d x %d nodes, type %d %s\n", dims[0], dims[1], dims[2], type, geoTypeStr[type]);
+ // printf("# geometry: %d x %d x %d nodes, type %d %s\n", dims[0], dims[1], dims[2], type, geoTypeStr[type]);
ld->Dims[0] = dims[0];
ld->Dims[1] = dims[1];
ld->PeriodicX = periodic[0];
ld->PeriodicY = periodic[1];
ld->PeriodicZ = periodic[2];
+ ld->Name = g_geoTypeStr[type];
LatticeT * lattice;
MemAlloc((void **)&lattice, sizeof(LatticeT) * dims[0] * dims[1] * dims[2]);
Assert(ld != NULL);
Assert(cd != NULL);
- Assert(cd->RhoIn > 0.0);
- Assert(cd->RhoOut > 0.0);
+ Assert(cd->RhoIn > F(0.0));
+ Assert(cd->RhoOut > F(0.0));
PdfT rho_in = cd->RhoIn;
PdfT rho_out = cd->RhoOut;
- PdfT rho_in_inv = 1.0 / rho_in;
- PdfT rho_out_inv = 1.0 / rho_out;
- PdfT indep_ux = 0.0;
+ PdfT rho_in_inv = F(1.0) / rho_in;
+ PdfT rho_out_inv = F(1.0) / rho_out;
+ PdfT indep_ux = F(0.0);
PdfT dens;
PdfT ux;
- const PdfT one_third = 1.0 / 3.0;
- const PdfT one_fourth = 1.0 / 4.0;
- const PdfT one_sixth = 1.0 / 6.0;
+ const PdfT one_third = F(1.0) / F(3.0);
+ const PdfT one_fourth = F(1.0) / F(4.0);
+ const PdfT one_sixth = F(1.0) / F(6.0);
PdfT pdfs[N_D3Q19];
dens = rho_in;
- ux = 1 - (pdfs[D3Q19_C] +
+ ux = F(1.0) - (pdfs[D3Q19_C] +
(pdfs[D3Q19_T] + pdfs[D3Q19_B] + pdfs[D3Q19_S] + pdfs[D3Q19_N]) +
(pdfs[D3Q19_TS] + pdfs[D3Q19_BS] + pdfs[D3Q19_TN] + pdfs[D3Q19_BN]) +
- 2 * (pdfs[D3Q19_SW] + pdfs[D3Q19_TW] + pdfs[D3Q19_W] + pdfs[D3Q19_BW] + pdfs[D3Q19_NW])) * rho_in_inv;
+ F(2.0) * (pdfs[D3Q19_SW] + pdfs[D3Q19_TW] + pdfs[D3Q19_W] + pdfs[D3Q19_BW] + pdfs[D3Q19_NW])) * rho_in_inv;
indep_ux = one_sixth * dens * ux;
dens = rho_out;
- ux = -1 + (pdfs[D3Q19_C] +
+ ux = F(-1.0) + (pdfs[D3Q19_C] +
(pdfs[D3Q19_T] + pdfs[D3Q19_B] + pdfs[D3Q19_S] + pdfs[D3Q19_N]) +
(pdfs[D3Q19_TS] + pdfs[D3Q19_BS] + pdfs[D3Q19_TN] + pdfs[D3Q19_BN]) +
- 2 * (pdfs[D3Q19_NE] + pdfs[D3Q19_BE] + pdfs[D3Q19_E] + pdfs[D3Q19_TE] + pdfs[D3Q19_SE])) * rho_out_inv;
+ F(2.0) * (pdfs[D3Q19_NE] + pdfs[D3Q19_BE] + pdfs[D3Q19_E] + pdfs[D3Q19_TE] + pdfs[D3Q19_SE])) * rho_out_inv;
indep_ux = one_sixth * dens * ux;
pdfs[D3Q19_W ] = pdfs[D3Q19_E] - one_third * dens * ux;
kd->GetNode(kd, x, y, z, pdfs);
+ PdfT localDensity = F(0.0);
+
for(int d = 0; d < N_D3Q19; ++d) {
// if (pdfs[d] < 0.0) {
// printf("# %d %d %d %d < 0 %e %s\n", x, y, z, d, pdfs[d], D3Q19_NAMES[d]);
// exit(1);
// }
- density += pdfs[d];
+ localDensity += pdfs[d];
}
+ density += localDensity;
}
}
PdfT rho_in = cd->RhoIn;
PdfT rho_out = cd->RhoOut;
- PdfT ux = 0.0;
- PdfT uy = 0.0;
- PdfT uz = 0.0;
- PdfT dens = 1.0;
+ PdfT ux = F(0.0);
+ PdfT uy = F(0.0);
+ PdfT uz = F(0.0);
+ PdfT dens = F(1.0);
PdfT omega = cd->Omega;
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F( 3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
PdfT dir_indep_trm;
- PdfT omega_w0 = 3.0 * w_0 * omega;
- PdfT omega_w1 = 3.0 * w_1 * omega;
- PdfT omega_w2 = 3.0 * w_2 * omega;
- PdfT one_third = 1.0 / 3.0;
+ PdfT omega_w0 = F(3.0) * w_0 * omega;
+ PdfT omega_w1 = F(3.0) * w_1 * omega;
+ PdfT omega_w2 = F(3.0) * w_2 * omega;
+ PdfT one_third = F(1.0) / F(3.0);
int nX = lDims[0];
int nY = lDims[1];
if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) {
// TODO: fix later.
// if((caseData->geoType == GEO_TYPE_CHANNEL) || (caseData->geoType == GEO_TYPE_RCHANNEL))
- dens = rho_in + (rho_out - rho_in)*(x)/(nX-1.0);
+ dens = rho_in + (rho_out - rho_in) * (x) / (nX - F(1.0));
#define SQR(a) ((a)*(a))
- dir_indep_trm = one_third * dens - 0.5 * (ux * ux + uy * uy + uz * uz);
+ dir_indep_trm = one_third * dens - F(0.5) * (ux * ux + uy * uy + uz * uz);
pdfs[D3Q19_C] = omega_w0 * (dir_indep_trm);
- pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + 1.5 * SQR(ux - uy));
- pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + 1.5 * SQR(ux - uy));
+ pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + F(1.5) * SQR(ux - uy));
+ pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + F(1.5) * SQR(ux - uy));
- pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + 1.5 * SQR(ux + uy));
- pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + 1.5 * SQR(ux + uy));
+ pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + F(1.5) * SQR(ux + uy));
+ pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + F(1.5) * SQR(ux + uy));
- pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + 1.5 * SQR(ux - uz));
- pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + 1.5 * SQR(ux - uz));
+ pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + F(1.5) * SQR(ux - uz));
+ pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + F(1.5) * SQR(ux - uz));
- pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + 1.5 * SQR(ux + uz));
- pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + 1.5 * SQR(ux + uz));
+ pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + F(1.5) * SQR(ux + uz));
+ pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + F(1.5) * SQR(ux + uz));
- pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + 1.5 * SQR(uy - uz));
- pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + 1.5 * SQR(uy - uz));
+ pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + F(1.5) * SQR(uy - uz));
+ pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + F(1.5) * SQR(uy - uz));
- pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + 1.5 * SQR(uy + uz));
- pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + 1.5 * SQR(uy + uz));
+ pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + F(1.5) * SQR(uy + uz));
+ pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + F(1.5) * SQR(uy + uz));
- pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + 1.5 * SQR(uy));
- pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + 1.5 * SQR(uy));
+ pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + F(1.5) * SQR(uy));
+ pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + F(1.5) * SQR(uy));
- pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + 1.5 * SQR(ux));
- pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + 1.5 * SQR(ux));
+ pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + F(1.5) * SQR(ux));
+ pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + F(1.5) * SQR(ux));
- pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + 1.5 * SQR(uz));
- pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + 1.5 * SQR(uz));
+ pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + F(1.5) * SQR(uz));
+ pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + F(1.5) * SQR(uz));
kd->SetNode(kd, x, y, z, pdfs);
int * lDims = ld->Dims;
- // TODO: ux is overriden below...
- PdfT ux = 0.09; // caseData->initUx;
- PdfT uy = 0.0; // caseData->initUy;
- PdfT uz = 0.0; // caseData->initUz;
- PdfT dens = 1.0;
+ // TODO: fix ux is overriden below
+ PdfT ux = F(0.0);
+ PdfT uy = F(0.0);
+ PdfT uz = F(0.0);
+ PdfT dens = F(1.0);
PdfT omega = cd->Omega;
- PdfT w_0 = 1.0 / 3.0;
- PdfT w_1 = 1.0 / 18.0;
- PdfT w_2 = 1.0 / 36.0;
+ PdfT w_0 = F(1.0) / F( 3.0);
+ PdfT w_1 = F(1.0) / F(18.0);
+ PdfT w_2 = F(1.0) / F(36.0);
PdfT dir_indep_trm;
- PdfT omega_w0 = 3.0 * w_0 * omega;
- PdfT omega_w1 = 3.0 * w_1 * omega;
- PdfT omega_w2 = 3.0 * w_2 * omega;
- PdfT one_third = 1.0 / 3.0;
+ PdfT omega_w0 = F(3.0) * w_0 * omega;
+ PdfT omega_w1 = F(3.0) * w_1 * omega;
+ PdfT omega_w2 = F(3.0) * w_2 * omega;
+ PdfT one_third = F(1.0) / F(3.0);
int nX = lDims[0];
int nY = lDims[1];
if (ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] == LAT_CELL_FLUID) {
- ux = 0.0;
- uy = 0.0;
- uz = 0.0;
+ ux = F(0.0);
+ uy = F(0.0);
+ uz = F(0.0);
kd->GetNode(kd, x, y, z, pdfs);
- density = 0.0;
+ density = F(0.0);
#define X(name, idx, idxinv, _x, _y, _z) density += pdfs[idx];
D3Q19_LIST
#define SQR(a) ((a)*(a))
- dir_indep_trm = one_third * dens - 0.5 * (ux * ux + uy * uy + uz * uz);
+ dir_indep_trm = one_third * dens - F(0.5) * (ux * ux + uy * uy + uz * uz);
pdfs[D3Q19_C] = omega_w0 * (dir_indep_trm);
- pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + 1.5 * SQR(ux - uy));
- pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + 1.5 * SQR(ux - uy));
+ pdfs[D3Q19_NW] = omega_w2 * (dir_indep_trm - (ux - uy) + F(1.5) * SQR(ux - uy));
+ pdfs[D3Q19_SE] = omega_w2 * (dir_indep_trm + (ux - uy) + F(1.5) * SQR(ux - uy));
- pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + 1.5 * SQR(ux + uy));
- pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + 1.5 * SQR(ux + uy));
+ pdfs[D3Q19_NE] = omega_w2 * (dir_indep_trm + (ux + uy) + F(1.5) * SQR(ux + uy));
+ pdfs[D3Q19_SW] = omega_w2 * (dir_indep_trm - (ux + uy) + F(1.5) * SQR(ux + uy));
- pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + 1.5 * SQR(ux - uz));
- pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + 1.5 * SQR(ux - uz));
+ pdfs[D3Q19_TW] = omega_w2 * (dir_indep_trm - (ux - uz) + F(1.5) * SQR(ux - uz));
+ pdfs[D3Q19_BE] = omega_w2 * (dir_indep_trm + (ux - uz) + F(1.5) * SQR(ux - uz));
- pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + 1.5 * SQR(ux + uz));
- pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + 1.5 * SQR(ux + uz));
+ pdfs[D3Q19_TE] = omega_w2 * (dir_indep_trm + (ux + uz) + F(1.5) * SQR(ux + uz));
+ pdfs[D3Q19_BW] = omega_w2 * (dir_indep_trm - (ux + uz) + F(1.5) * SQR(ux + uz));
- pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + 1.5 * SQR(uy - uz));
- pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + 1.5 * SQR(uy - uz));
+ pdfs[D3Q19_TS] = omega_w2 * (dir_indep_trm - (uy - uz) + F(1.5) * SQR(uy - uz));
+ pdfs[D3Q19_BN] = omega_w2 * (dir_indep_trm + (uy - uz) + F(1.5) * SQR(uy - uz));
- pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + 1.5 * SQR(uy + uz));
- pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + 1.5 * SQR(uy + uz));
+ pdfs[D3Q19_TN] = omega_w2 * (dir_indep_trm + (uy + uz) + F(1.5) * SQR(uy + uz));
+ pdfs[D3Q19_BS] = omega_w2 * (dir_indep_trm - (uy + uz) + F(1.5) * SQR(uy + uz));
- pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + 1.5 * SQR(uy));
- pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + 1.5 * SQR(uy));
+ pdfs[D3Q19_N] = omega_w1 * (dir_indep_trm + uy + F(1.5) * SQR(uy));
+ pdfs[D3Q19_S] = omega_w1 * (dir_indep_trm - uy + F(1.5) * SQR(uy));
- pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + 1.5 * SQR(ux));
- pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + 1.5 * SQR(ux));
+ pdfs[D3Q19_E] = omega_w1 * (dir_indep_trm + ux + F(1.5) * SQR(ux));
+ pdfs[D3Q19_W] = omega_w1 * (dir_indep_trm - ux + F(1.5) * SQR(ux));
- pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + 1.5 * SQR(uz));
- pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + 1.5 * SQR(uz));
+ pdfs[D3Q19_T] = omega_w1 * (dir_indep_trm + uz + F(1.5) * SQR(uz));
+ pdfs[D3Q19_B] = omega_w1 * (dir_indep_trm - uz + F(1.5) * SQR(uz));
#undef SQR
//
static PdfT CalcXVelForPipeProfile(PdfT maxRadiusSquared, PdfT curRadiusSquared, PdfT xForce, PdfT viscosity)
{
- return xForce*(maxRadiusSquared - curRadiusSquared) / (2.0*viscosity);
+ return xForce * (maxRadiusSquared - curRadiusSquared) / (F(2.0) * viscosity);
}
static void KernelGetXSlice(LatticeDesc * ld, KernelData * kd, CaseData * cd, PdfT * outputArray, int xPos)
Assert(xPos < ld->Dims[0]);
- PdfT ux = 0.0;
+ PdfT ux = F(0.0);
// Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
#define X(name, idx, idxinv, x, y, z) PdfT JOIN(pdf_,name);
pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
#ifdef VERIFICATION
- ux += 0.5 * cd->XForce;
+ ux += F(0.5) * cd->XForce;
#endif
outputArray[y * nZ + z] = ux;
}
else {
- outputArray[y * nZ + z] = 0.0;
+ outputArray[y * nZ + z] = F(0.0);
}
}
}
int nZ = ld->Dims[2];
PdfT omega = cd->Omega;
- PdfT viscosity = (1.0 / omega - 0.5) / 3.0;
+ PdfT viscosity = (F(1.0) / omega - F(0.5)) / F(3.0);
// ux averaged across cross sections in x direction
PdfT * outputArray = (PdfT *)malloc(nZ * nY * sizeof(PdfT));
FILE * fh;
char fileName[1024];
- PdfT tmpAvgUx = 0.0;
- PdfT tmpAnalyUx = 0.0;
+ PdfT tmpAvgUx = F(0.0);
+ PdfT tmpAnalyUx = F(0.0);
int flagEvenNy = 0;
int y = 0;
if (nY % 2 == 0)
flagEvenNy = 1;
- y = (nY-flagEvenNy-1)/2;
+ y = (nY - flagEvenNy - 1) / 2;
snprintf(fileName, sizeof(fileName), "flow-profile.dat");
fprintf(fh, "# Plot graphically: gnuplot -e \"plot \\\"%s\\\" u 1:3 w linesp t \\\"analytical\\\", \\\"\\\" u 1:4 w linesp t \\\"simulation\\\"; pause -1;\"\n", fileName);
fprintf(fh, "# z coord., radius, analytic, simulation, diff abs, diff rel, undim_analytic, undim_sim\n");
- double deviation = 0.0;
- double curRadiusSquared;
- double center = nY / 2.0;
- double minDiameter = nY;
+ PdfT deviation = F(0.0);
+ PdfT curRadiusSquared;
+ PdfT center = nY / F(2.0);
+ PdfT minDiameter = (PdfT)nY;
#define SQR(a) ((a)*(a))
- double minRadiusSquared = SQR(minDiameter / 2.0 - 1.0);
+ PdfT minRadiusSquared = SQR(minDiameter / F(2.0) - F(1.0));
#undef SQR
- double u_max = cd->XForce*minRadiusSquared/(2.0*viscosity);
+ PdfT u_max = cd->XForce*minRadiusSquared / (F(2.0) * viscosity);
for(int z = 0; z < nZ; ++z) {
fprintf(fh, "%d\t", z);
#define SQR(a) ((a)*(a))
- curRadiusSquared = SQR(z-center+0.5);
+ curRadiusSquared = SQR(z - center + F(0.5));
// dimensionless radius
- fprintf(fh, "%e\t", (z-center+0.5)/center);
+ fprintf(fh, "%e\t", (z - center + F(0.5)) / center);
// analytic profile
if(curRadiusSquared >= minRadiusSquared)
- tmpAnalyUx = 0.0;
+ tmpAnalyUx = F(0.0);
else
tmpAnalyUx = CalcXVelForPipeProfile(minRadiusSquared, curRadiusSquared, cd->XForce, viscosity);
//averaged profile
if(flagEvenNy == 1)
- tmpAvgUx = (outputArray[y*nZ + z] + outputArray[(y+1)*nZ + z])/2.0;
+ tmpAvgUx = (outputArray[y * nZ + z] + outputArray[(y + 1) * nZ + z]) / F(2.0);
else
- tmpAvgUx = outputArray[y*nZ + z];
+ tmpAvgUx = outputArray[y * nZ + z];
fprintf(fh, "%e\t", tmpAnalyUx);
fprintf(fh, "%e\t", tmpAvgUx);
fprintf(fh, "%e\t", fabs(tmpAnalyUx-tmpAvgUx));
if (tmpAnalyUx != 0.0) {
fprintf(fh, "%e\t", fabs(tmpAnalyUx - tmpAvgUx) / tmpAnalyUx);
- deviation += SQR(fabs(tmpAnalyUx - tmpAvgUx) / tmpAnalyUx);
+ deviation += SQR((PdfT)fabs(tmpAnalyUx - tmpAvgUx) / tmpAnalyUx);
}
else {
fprintf(fh, "0.0\t");
#undef SQR
}
- *errorNorm = sqrt(deviation);
+ *errorNorm = (PdfT)sqrt(deviation);
printf("# Kernel validation: L2 error norm of relative error: %e\n", *errorNorm);
fprintf(fh, "# Average density and average x velocity over each cross section in x direction. Snapshot taken at iteration %d.\n", iteration);
fprintf(fh, "# Plot on terminal: gnuplot -e \"set terminal dumb; plot \\\"%s\\\" u 1:2; plot \\\"%s\\\" u 1:3;\"\n", fileName, fileName);
-// fprintf(fh, "# Plot graphically: gnuplot -e \"plot \\\"%s\\\" u 1:3 w linesp t \\\"l\\\", \\\"\\\" u 1:4 w linesp t \\\"simulation\\\"; pause -1;"
fprintf(fh, "# x, avg density, avg ux\n");
for (x = 0; x < nX; ++x) {
- uxSum = 0.0;
- densitySum = 0.0;
+ uxSum = F(0.0);
+ densitySum = F(0.0);
nFluidNodes = 0;
for (int y = 0; y < nY; ++y) {
int nY = kd->Dims[1];
int nZ = kd->Dims[2];
- PdfT w_0 = 1.0 / 3.0; // C
- PdfT w_1 = 1.0 / 18.0; // N,S,E,W,T,B
- PdfT w_2 = 1.0 / 36.0; // NE,NW,SE,SW,TE,TW,BE,BW,TN,TS,BN,BS
+ PdfT w_0 = F(1.0) / F( 3.0); // C
+ PdfT w_1 = F(1.0) / F(18.0); // N,S,E,W,T,B
+ PdfT w_2 = F(1.0) / F(36.0); // NE,NW,SE,SW,TE,TW,BE,BW,TN,TS,BN,BS
PdfT w[] = {w_1,w_1,w_1,w_1,w_2,w_2,w_2,w_2,w_1,w_2,w_2,w_2,w_2,w_1,w_2,w_2,w_2,w_2,w_0};
PdfT xForce = cd->XForce;
// load pdfs into temp array
kd->GetNode(kd, x, y, z, pdfs);
- // add body force in x direction ( method by Luo)
+ // add body force in x direction (method by Luo)
for (int d = 0; d < N_D3Q19; ++d) {
- pdfs[d] = pdfs[d] + 3.0*w[d]*D3Q19_X[d]*xForce;
+ pdfs[d] = pdfs[d] + F(3.0) * w[d] * D3Q19_X[d] * xForce;
}
kd->SetNode(kd, x, y, z, pdfs);
#endif
+#ifdef PRECISION_DP
+ typedef double PdfT;
+#elif defined(PRECISION_SP)
+ typedef float PdfT;
+#else
+ #error PRECISION must be defined as dp or sp.
+#endif
-typedef double PdfT;
-
+ #define F(number) (PdfT)(number)
#define D3Q19
#include "BenchKernelD3Q19.h"
#include "BenchKernelD3Q19Aa.h"
#include "BenchKernelD3Q19AaVec.h"
+#include "BenchKernelD3Q19AaVecSl.h"
#include "BenchKernelD3Q19List.h"
#include "BenchKernelD3Q19ListAa.h"
#include "BenchKernelD3Q19ListAaRia.h"
.Name = "aa-vec-soa",
.Init = D3Q19AaVecInit_AaSoA,
.Deinit = D3Q19AaVecDeinit_AaSoA
+ },
+ {
+ .Name = "aa-vec-sl-soa",
+ .Init = D3Q19AaVecSlInit_AaSoA,
+ .Deinit = D3Q19AaVecSlDeinit_AaSoA
}
+
};
#endif // __KERNEL_FUNCTIONS_H__
int PeriodicX; // Periodic in X direction.
int PeriodicY; // Periodic in Y direction.
int PeriodicZ; // Periodic in Z direction.
+ const char * Name; // Geometry Name, points to statically allocated names, do not free!
} LatticeDesc;
CaseData cd;
- cd.MaxIterations = 1000;
- cd.RhoIn = 1.0;
- cd.RhoOut = 1.0;
- cd.Omega = 1.0;
+ cd.MaxIterations = 10;
+ cd.RhoIn = F(1.0);
+ cd.RhoOut = F(1.0);
+ cd.Omega = F(1.0);
cd.VtkOutput = 0;
cd.VtkModulus = 100;
cd.StatisticsModulus = 100;
- cd.XForce = 0.00001;
+ cd.XForce = F(0.00001);
kernelToUse = "push-soa";
Parameters p;
printf("This program comes with ABSOLUTELY NO WARRANTY; for details see LICENSE.\n");
printf("This is free software, and you are welcome to redistribute it under certain conditions.\n");
printf("\n");
- printf("LBM Benchmark Kernels %d.%d, compiled %s %s, type: %s\n",
+ printf("# LBM Benchmark Kernels %d.%d, compiled %s %s, type: %s\n",
LBM_BENCH_KERNELS_VERSION_MAJOR, LBM_BENCH_KERNELS_VERSION_MINOR, __DATE__, __TIME__,
#ifdef VERIFICATION
"verification"
else if (ARG_IS("-rho-in") ||ARG_IS("--rho-in")) {
NEXT_ARG_PRESENT();
- cd.RhoIn = strtod(argv[++i], NULL);
+ cd.RhoIn = F(strtod(argv[++i], NULL));
}
else if (ARG_IS("-rho-out") ||ARG_IS("--rho-out")) {
NEXT_ARG_PRESENT();
- cd.RhoOut = strtod(argv[++i], NULL);
+ cd.RhoOut = F(strtod(argv[++i], NULL));
}
else if (ARG_IS("-omega") ||ARG_IS("--omega")) {
NEXT_ARG_PRESENT();
- cd.Omega = strtod(argv[++i], NULL);
+ cd.Omega = F(strtod(argv[++i], NULL));
}
else if (ARG_IS("-x-force") ||ARG_IS("--x-force")) {
NEXT_ARG_PRESENT();
- cd.XForce = strtod(argv[++i], NULL);
+ cd.XForce = F(strtod(argv[++i], NULL));
}
else if (ARG_IS("-verify") || ARG_IS("--verify")) {
#ifdef VERIFICATION
// Choose this preset for verification. As geometry type "box" is
- // used but x and y direction are made pridoc.
+ // used but x and y direction are made periodic.
// Everything else can be altered, but enough iterations should be
// performed in order to receive a fully developed flow field.
verify = 1;
- cd.Omega = 1.0;
- cd.RhoIn = 1.0;
- cd.RhoOut = 1.0;
+ cd.Omega = F(1.0);
+ cd.RhoIn = F(1.0);
+ cd.RhoOut = F(1.0);
geometryType = "box";
dims[0] = 16;
dims[1] = 16;
dims[2] = 16;
- cd.XForce = 0.00001;
+ cd.XForce = F(0.00001);
cd.MaxIterations = 1000;
periodic[0] = 1;
periodic[1] = 1;
omp_set_num_threads(nThreads);
#endif
- LatticeDesc ld;
-
- GeoCreateByStr(geometryType, dims, periodic, &ld);
-
const char * defines[] = {
+#ifdef DEBUG
+ "DEBUG",
+#endif
#ifdef VTK_OUTPUT
"VTK_OUTPUT",
#endif
#endif
#ifdef HAVE_LIKWID
"HAVE_LIKWID",
+#endif
+#ifdef INTEL_OPT_DIRECTIVES
+ "INTEL_OPT_DIRECTIVES",
#endif
};
- printf("# defines: ");
+ printf("#\n");
+
+#ifdef PRECISION_DP
+ printf("# - floating point: double precision (%lu b, PRECISION_DP defined)\n", sizeof(PdfT));
+#elif defined(PRECISION_SP)
+ printf("# - floating point: single precision (%lu b, PRECISION_SP defined)\n", sizeof(PdfT));
+#else
+ printf("# - floating point: UNKNOWN (%lu b)\n", sizeof(PdfT));
+#endif
+
+#ifdef VECTOR_AVX
+ printf("# - intrinsics: AVX (VECTOR_AVX defined)\n");
+#elif defined(VECTOR_SSE)
+ printf("# - intrinsics: SSE (VECTOR_SSE defined)\n");
+#else
+ printf("# - intrinsics: UNKNOWN\n");
+#endif
+
+ printf("# - defines: ");
for (int j = 0; j < N_ELEMS(defines); ++j) {
printf("%s ", defines[j]);
}
printf("\n");
- printf("# nodes total: % 10d\n", ld.nObst + ld.nFluid);
- printf("# nodes fluid: % 10d (including inlet & outlet)\n", ld.nFluid);
- printf("# nodes obstacles: % 10d\n", ld.nObst);
- printf("# nodes inlet: % 10d\n", ld.nInlet);
- printf("# nodes outlet: % 10d\n", ld.nOutlet);
- printf("# periodicity: x: %d y: %d z: %d\n", ld.PeriodicX, ld.PeriodicY, ld.PeriodicZ);
+#ifdef __x86_64__
+ printf("# - fp status: DAZ: %d FTZ: %d\n", FpGetDaz(), FpGetFtz());
+#endif
+
+ printf("# - iterations: %d\n", cd.MaxIterations);
+
+ LatticeDesc ld;
+
+ GeoCreateByStr(geometryType, dims, periodic, &ld);
+
+ printf("# - geometry:\n");
+ printf("# type: %s\n", ld.Name);
+ printf("# dimensions: %d x %d x %d (x, y, z)\n", ld.Dims[0], ld.Dims[1], ld.Dims[2]);
+
+ printf("# nodes total: %d\n", ld.nObst + ld.nFluid);
+ printf("# nodes fluid: %d (including inlet & outlet)\n", ld.nFluid);
+ printf("# nodes obstacles: %d\n", ld.nObst);
+ printf("# nodes inlet: %d\n", ld.nInlet);
+ printf("# nodes outlet: %d\n", ld.nOutlet);
+ printf("# periodicity: x: %d y: %d z: %d\n", ld.PeriodicX, ld.PeriodicY, ld.PeriodicZ);
#ifdef VTK_OUTPUT
- printf("# VTK output: %d (every %d iteration)\n", cd.VtkOutput, cd.VtkModulus);
+ printf("# - VTK output: %d (every %d iteration)\n", cd.VtkOutput, cd.VtkModulus);
#endif
#ifdef STATISTICS
- printf("# statistics: every %d iteration\n", cd.StatisticsModulus);
+ printf("# - statistics: every %d iteration\n", cd.StatisticsModulus);
#endif
- printf("# omega: %f\n", cd.Omega);
- printf("# initial density at inlet/outlet:\n");
- printf("# rho in: %e\n", cd.RhoIn);
- printf("# rho out: %e\n", cd.RhoOut);
- printf("# iterations: %d\n", cd.MaxIterations);
-
-#ifdef __x86_64__
- printf("# fp status: DAZ: %d FTZ: %d\n", FpGetDaz(), FpGetFtz());
-#endif
+ printf("# - flow:\n");
+ printf("# omega: %f\n", cd.Omega);
+ printf("# initial density at inlet/outlet:\n");
+ printf("# rho in: %e\n", cd.RhoIn);
+ printf("# rho out: %e\n", cd.RhoOut);
#ifdef _OPENMP
- printf("# OpenMP threads: %d\n", omp_get_max_threads());
+ printf("# - OpenMP threads: %d\n", omp_get_max_threads());
if (pinString != NULL) {
#pragma omp parallel
#pragma omp for ordered
for (int i = 0; i < omp_get_num_threads(); ++i) {
#pragma omp ordered
- printf("# thread %2d pinned to core(s): %s\n", threadId, cpuList);
+ printf("# thread %2d pinned to core(s): %s\n", threadId, cpuList);
}
free((void *)cpuList);
}
printf("#\n");
- printf("# kernel: %s\n", kf->Name);
+ printf("# - kernel: %s\n", kf->Name);
printf("#\n");
// Initialize kernel by calling its own initialization function
double perf = (double)ld.nFluid * (double)cd.MaxIterations / duration / 1.e6;
- printf("P: %f MFLUP/s t: %d d: %f s iter: %d fnodes: %f x1e6 geo: %s kernel: %s %s\n",
+ printf("P: %f MFLUP/s t: %d d: %f s iter: %d fnodes: %f x1e6 geo: %s kernel: %s %s %s\n",
perf, nThreads, duration, cd.MaxIterations, ld.nFluid / 1e6,
geometryType, kernelToUse,
#ifdef VERIFICATION
- "VERIFICATION"
+ "VERIFICATION",
+#else
+ "B",
+#endif
+#ifdef PRECISION_DP
+ "dp"
+#elif defined(PRECISION_SP)
+ "sp"
#else
- "B"
+ "unknown-precision"
#endif
);
LIKWID ?= off
+# Which floating point precision to use: dp (double precision) or sp (single preicision)
+PRECISION ?= dp
+
# Global settings for the Makefile
SHELL = sh
# Where to store objects and dependency files.
-OBJECT_DIR = obj/$(CONFIG)-$(BUILD)$(TAG)
-DEP_DIR = obj/$(CONFIG)-$(BUILD)$(TAG)-dep
+OBJECT_DIR = obj/$(CONFIG)-$(BUILD)$(PREC)$(TAG)
+DEP_DIR = obj/$(CONFIG)-$(BUILD)$(PREC)$(TAG)-dep
# Sources to consider.
SOURCES_C = Main.c Memory.c Geometry.c Kernel.c \
$(OBJECT_DIR)/BenchKernelD3Q19Aa_AaSoA.o \
$(OBJECT_DIR)/BenchKernelD3Q19AaCommon_AaSoA.o \
$(OBJECT_DIR)/BenchKernelD3Q19AaVec_AaSoA.o \
- $(OBJECT_DIR)/BenchKernelD3Q19AaVecCommon_AaSoA.o
+ $(OBJECT_DIR)/BenchKernelD3Q19AaVecCommon_AaSoA.o \
+ $(OBJECT_DIR)/BenchKernelD3Q19AaVecSl_AaSoA.o \
+ $(OBJECT_DIR)/BenchKernelD3Q19AaVecSlCommon_AaSoA.o
OBJ = $(OBJ_C)
LD_LIBS += $(LIKWID_LIB) -llikwid
endif
+
+ifeq (dp,$(PRECISION))
+ PP_FLAGS += $(D)PRECISION_DP
+ PREC=-dp
+else
+ifeq (sp,$(PRECISION))
+ PP_FLAGS += $(D)PRECISION_SP
+ PREC=-sp
+else
+ $(error PRECISION is only be allowed to be sp (single precision) or dp (doble precision))
+endif
+endif
+
# ARCH can only be assigned a string without a space. The space is escaped as
# a comma which we have to replace here.
.phony: all clean clean-all
-$(info $(shell $(ECHO_E) "# Configuration: CONFIG=$(COLOR_CYAN)$(CONFIG)$(COLOR_NO) BUILD=$(COLOR_CYAN)$(BUILD)$(COLOR_NO) VERIFICATION=$(COLOR_CYAN)$(VERIFICATION)$(COLOR_NO) STATISTICS=$(COLOR_CYAN)$(STATISTICS)$(COLOR_NO) VTK_OUTPUT=$(COLOR_CYAN)$(VTK_OUTPUT)$(COLOR_NO) OPENMP=$(COLOR_CYAN)$(OPENMP)$(COLOR_NO) ISA=$(COLOR_CYAN)$(ISA)$(COLOR_NO) LIKWID=$(COLOR_CYAN)$(LIKWID)$(COLOR_NO) TARCH=$(COLOR_CYAN)$(TARCH)$(COLOR_NO) building $(.DEFAULT_GOAL)..."))
+#$(info $(shell $(ECHO_E) "# Configuration: CONFIG=$(COLOR_CYAN)$(CONFIG)$(COLOR_NO) BUILD=$(COLOR_CYAN)$(BUILD)$(COLOR_NO) VERIFICATION=$(COLOR_CYAN)$(VERIFICATION)$(COLOR_NO) STATISTICS=$(COLOR_CYAN)$(STATISTICS)$(COLOR_NO) VTK_OUTPUT=$(COLOR_CYAN)$(VTK_OUTPUT)$(COLOR_NO) OPENMP=$(COLOR_CYAN)$(OPENMP)$(COLOR_NO) ISA=$(COLOR_CYAN)$(ISA)$(COLOR_NO) LIKWID=$(COLOR_CYAN)$(LIKWID)$(COLOR_NO) TARCH=$(COLOR_CYAN)$(TARCH)$(COLOR_NO) building $(.DEFAULT_GOAL)..."))
+$(info $(shell $(ECHO_E) "# Configuration: CONFIG=$(COLOR_CYAN)$(CONFIG)$(COLOR_NO) BUILD=$(COLOR_CYAN)$(BUILD)$(COLOR_NO) PRECISION=$(COLOR_CYAN)$(PRECISION)$(COLOR_NO)"))
+$(info $(shell $(ECHO_E) "# OPENMP=$(COLOR_CYAN)$(OPENMP)$(COLOR_NO) ISA=$(COLOR_CYAN)$(ISA)$(COLOR_NO) LIKWID=$(COLOR_CYAN)$(LIKWID)$(COLOR_NO)"))
+$(info $(shell $(ECHO_E) "# VERIFICATION=$(COLOR_CYAN)$(VERIFICATION)$(COLOR_NO) STATISTICS=$(COLOR_CYAN)$(STATISTICS)$(COLOR_NO) VTK_OUTPUT=$(COLOR_CYAN)$(VTK_OUTPUT)$(COLOR_NO)"))
+$(info $(shell $(ECHO_E) "# target=$(.DEFAULT_GOAL)"))
$(info # Object dir: $(OBJECT_DIR))
$(info # Dependency dir: $(DEP_DIR))
BIN_DIR=../bin
-all: $(BIN_DIR)/lbmbenchk-$(CONFIG)-$(BUILD)$(BUILD_CONFIG)$(TAG)
+all: $(BIN_DIR)/lbmbenchk-$(CONFIG)-$(BUILD)$(BUILD_CONFIG)$(PREC)$(TAG)
# ------------------------------------------------------------------------
$(BIN_DIR):
[ -d "$@" ] || mkdir -p "$@"
-$(BIN_DIR)/lbmbenchk-$(CONFIG)-$(BUILD)$(BUILD_CONFIG)$(TAG): $(OBJ) $(REBUILD_DEPS) $(DEP_DIR)/.target | $(BIN_DIR)
+$(BIN_DIR)/lbmbenchk-$(CONFIG)-$(BUILD)$(BUILD_CONFIG)$(PREC)$(TAG): $(OBJ) $(REBUILD_DEPS) $(DEP_DIR)/.target | $(BIN_DIR)
@$(ECHO_E) "linking: $(COLOR_CYAN)$@$(COLOR_NO)"
$(LD) $(LD_FLAGS) -o $@ $(filter-out $(REBUILD_DEPS),$^) $(LD_LIBS)
@$(ECHO_E) "# Builded binary: $(COLOR_CYAN)$@$(COLOR_NO)"
- @$(ECHO_E) "# Configuration was: CONFIG=$(COLOR_CYAN)$(CONFIG)$(COLOR_NO) BUILD=$(COLOR_CYAN)$(BUILD)$(COLOR_NO) VERIFICATION=$(COLOR_CYAN)$(VERIFICATION)$(COLOR_NO) STATISTICS=$(COLOR_CYAN)$(STATISTICS)$(COLOR_NO) VTK_OUTPUT=$(COLOR_CYAN)$(VTK_OUTPUT)$(COLOR_NO) OPENMP=$(COLOR_CYAN)$(OPENMP)$(COLOR_NO) ISA=$(COLOR_CYAN)$(ISA)$(COLOR_NO) LIKWID=$(COLOR_CYAN)$(LIKWID)$(COLOR_NO) target=$(.DEFAULT_GOAL)"
+ @$(ECHO_E) "# Configuration was: CONFIG=$(COLOR_CYAN)$(CONFIG)$(COLOR_NO) BUILD=$(COLOR_CYAN)$(BUILD)$(COLOR_NO) PRECISION=$(COLOR_CYAN)$(PRECISION)$(COLOR_NO)"
+ @$(ECHO_E) "# OPENMP=$(COLOR_CYAN)$(OPENMP)$(COLOR_NO) ISA=$(COLOR_CYAN)$(ISA)$(COLOR_NO) LIKWID=$(COLOR_CYAN)$(LIKWID)$(COLOR_NO)"
+ @$(ECHO_E) "# VERIFICATION=$(COLOR_CYAN)$(VERIFICATION)$(COLOR_NO) STATISTICS=$(COLOR_CYAN)$(STATISTICS)$(COLOR_NO) VTK_OUTPUT=$(COLOR_CYAN)$(VTK_OUTPUT)$(COLOR_NO)"
+ @$(ECHO_E) "# target=$(.DEFAULT_GOAL)"
$(OBJECT_DIR)/%_SoA.o: %.c $(REBUILD_DEPS)
@$(ECHO_E) "compiling: $(COLOR_CYAN)$@$(COLOR_NO) $(COLOR_MAGENTA)DATA_LAYOUT_SOA$(COLOR_NO)"
# ------------------------------------------------------------------------
# Current configuration.
-MAKE_CFG = SYSTEM=$(SYSTEM) // BUILD=$(BUILD) // MAKEOVERRIDES=\"$(strip $(MAKEOVERRIDES))\" // VERIFICATION=$(VERIFICATION) // STATISTICS=$(STATISTICS) // VTK_OUTPUT=$(VTK_OUTPUT) // VTK_OUTPUT_ASCII=$(VTK_OUTPUT_ASCII) // LID_DRIVEN_CAVITY=$(LID_DRIVEN_CAVITY) // ISA=$(ISA) // LIKWID=$(LIKWID)
+MAKE_CFG = SYSTEM=$(SYSTEM) // BUILD=$(BUILD) // MAKEOVERRIDES=\"$(strip $(MAKEOVERRIDES))\" // VERIFICATION=$(VERIFICATION) // STATISTICS=$(STATISTICS) // VTK_OUTPUT=$(VTK_OUTPUT) // VTK_OUTPUT_ASCII=$(VTK_OUTPUT_ASCII) // LID_DRIVEN_CAVITY=$(LID_DRIVEN_CAVITY) // ISA=$(ISA) // LIKWID=$(LIKWID) // PRECISION=$(PRECISION)
# Compare current configuration to the last one so we know when to
# rebuild this system/target despite when sources have not changed.
#error Only VECTOR_AVX or VECTOR_SSE can be defined at the same time.
#endif
-#ifdef VECTOR_AVX
+#if !defined(PRECISION_DP) && !defined(PRECISION_SP)
+ #error PRECISION_DP or PRECISION_SP must be defined.
+#endif
- #include <immintrin.h>
- // Vector size in double-precision floatin-point numbers.
- #define VSIZE 4
+#if defined(PRECISION_DP) && defined(PRECISION_SP)
+ #error Only PRECISION_DP or PRECISION_SP can be defined at the same time.
+#endif
- #define VPDFT __m256d
+#ifdef PRECISION_DP
- #define VSET(scalar) _mm256_set1_pd(scalar)
+ #ifdef VECTOR_AVX
- #define VLD(expr) _mm256_load_pd(expr)
- #define VLDU(expr) _mm256_loadu_pd(expr)
+ #include <immintrin.h>
+ // Vector size in double-precision floating-point numbers.
+ #define VSIZE 4
- #define VST(dst, src) _mm256_store_pd(dst, src)
- #define VSTU(dst, src) _mm256_storeu_pd(dst, src)
- #define VSTNT(dst, src) _mm256_stream_pd(dst, src)
+ #define VPDFT __m256d
- #define VMUL(a, b) _mm256_mul_pd(a, b)
- #define VADD(a, b) _mm256_add_pd(a, b)
- #define VSUB(a, b) _mm256_sub_pd(a, b)
-#endif
+ #define VSET(scalar) _mm256_set1_pd(scalar)
-#ifdef VECTOR_SSE
- #include <emmintrin.h>
- // Vector size in double-precision floatin-point numbers.
- #define VSIZE 2
+ #define VLD(expr) _mm256_load_pd(expr)
+ #define VLDU(expr) _mm256_loadu_pd(expr)
- #define VPDFT __m128d
+ #define VST(dst, src) _mm256_store_pd(dst, src)
+ #define VSTU(dst, src) _mm256_storeu_pd(dst, src)
+ #define VSTNT(dst, src) _mm256_stream_pd(dst, src)
- #define VSET(scalar) _mm_set1_pd(scalar)
+ #define VMUL(a, b) _mm256_mul_pd(a, b)
+ #define VADD(a, b) _mm256_add_pd(a, b)
+ #define VSUB(a, b) _mm256_sub_pd(a, b)
+ #endif
- #define VLD(expr) _mm_load_pd(expr)
- #define VLDU(expr) _mm_loadu_pd(expr)
+ #ifdef VECTOR_SSE
+ #include <emmintrin.h>
+ // Vector size in double-precision floating-point numbers.
+ #define VSIZE 2
- #define VST(dst, src) _mm_store_pd(dst, src)
- #define VSTU(dst, src) _mm_storeu_pd(dst, src)
- #define VSTNT(dst, src) _mm_stream_pd(dst, src)
+ #define VPDFT __m128d
- #define VMUL(a, b) _mm_mul_pd(a, b)
- #define VADD(a, b) _mm_add_pd(a, b)
- #define VSUB(a, b) _mm_sub_pd(a, b)
-#endif
+ #define VSET(scalar) _mm_set1_pd(scalar)
+
+ #define VLD(expr) _mm_load_pd(expr)
+ #define VLDU(expr) _mm_loadu_pd(expr)
+
+ #define VST(dst, src) _mm_store_pd(dst, src)
+ #define VSTU(dst, src) _mm_storeu_pd(dst, src)
+ #define VSTNT(dst, src) _mm_stream_pd(dst, src)
+
+ #define VMUL(a, b) _mm_mul_pd(a, b)
+ #define VADD(a, b) _mm_add_pd(a, b)
+ #define VSUB(a, b) _mm_sub_pd(a, b)
+ #endif
+
+#elif defined(PRECISION_SP)
+
+ #ifdef VECTOR_AVX
+
+ #include <immintrin.h>
+ // Vector size in double-precision floating-point numbers.
+ #define VSIZE 8
+
+ #define VPDFT __m256
+
+ #define VSET(scalar) _mm256_set1_ps(scalar)
+
+ #define VLD(expr) _mm256_load_ps(expr)
+ #define VLDU(expr) _mm256_loadu_ps(expr)
+
+ #define VST(dst, src) _mm256_store_ps(dst, src)
+ #define VSTU(dst, src) _mm256_storeu_ps(dst, src)
+ #define VSTNT(dst, src) _mm256_stream_ps(dst, src)
+
+ #define VMUL(a, b) _mm256_mul_ps(a, b)
+ #define VADD(a, b) _mm256_add_ps(a, b)
+ #define VSUB(a, b) _mm256_sub_ps(a, b)
+ #endif
+
+ #ifdef VECTOR_SSE
+ #include <emmintrin.h>
+ // Vector size in double-precision floating-point numbers.
+ #define VSIZE 4
+
+ #define VPDFT __m128
+
+ #define VSET(scalar) _mm_set1_ps(scalar)
+
+ #define VLD(expr) _mm_load_ps(expr)
+ #define VLDU(expr) _mm_loadu_ps(expr)
+
+ #define VST(dst, src) _mm_store_ps(dst, src)
+ #define VSTU(dst, src) _mm_storeu_ps(dst, src)
+ #define VSTNT(dst, src) _mm_stream_ps(dst, src)
+
+ #define VMUL(a, b) _mm_mul_ps(a, b)
+ #define VADD(a, b) _mm_add_ps(a, b)
+ #define VSUB(a, b) _mm_sub_ps(a, b)
+ #endif
+#endif // PRECISION
#endif // __VECTOR_H__
XTag="-test"
+# How many parallel processes during make.
+NProc="10"
+
Build=release
if [ "$#" -lt 1 ]; then
Config="$1"
make clean-all
-make -j CONFIG=$Config TAG=$XTag-debug
-make -j CONFIG=$Config BUILD=$Build TAG=$XTag-v VERIFICATION=on
-make -j CONFIG=$Config BUILD=$Build TAG=$XTag-b BENCHMARK=on
-BinaryV="../bin/lbmbenchk-$Config-$Build$XTag-v"
-BinaryB="../bin/lbmbenchk-$Config-$Build$XTag-b"
+make -j $NProc PRECISION=dp CONFIG=$Config TAG=$XTag-debug
+make -j $NProc PRECISION=dp CONFIG=$Config BUILD=$Build TAG=$XTag-v VERIFICATION=on
+make -j $NProc PRECISION=dp CONFIG=$Config BUILD=$Build TAG=$XTag-b BENCHMARK=on
+
+BinaryVDp="../bin/lbmbenchk-$Config-$Build-dp$XTag-v"
+BinaryBDp="../bin/lbmbenchk-$Config-$Build-dp$XTag-b"
+
+
+make -j $NProc PRECISION=sp CONFIG=$Config TAG=$XTag-debug
+make -j $NProc PRECISION=sp CONFIG=$Config BUILD=$Build TAG=$XTag-v VERIFICATION=on
+make -j $NProc PRECISION=sp CONFIG=$Config BUILD=$Build TAG=$XTag-b BENCHMARK=on
+
+BinaryVSp="../bin/lbmbenchk-$Config-$Build-sp$XTag-v"
+BinaryBSp="../bin/lbmbenchk-$Config-$Build-sp$XTag-b"
+
+
+echo "#"
+echo "# [test.sh] ./test-verification.sh \"$BinaryVDp\""
+echo "#"
+
+./test-verification.sh "$BinaryVDp"
+
+ExitCodeDp="$?"
+
+echo "#"
+echo "# [test.sh] ./test-verification.sh \"$BinaryVSp\""
+echo "#"
+
+./test-verification.sh "$BinaryVSp"
+
+ExitCodeSp="$?"
+
+ResultDp="errors occurred"
+ResultSp="errors occurred"
+
+if [ "$ExitCodeDp" == "0" ]; then ResultDp="OK"; fi
+if [ "$ExitCodeSp" == "0" ]; then ResultSp="OK"; fi
+
+echo "#"
+echo "# [test.sh] test double precision: $ResultDp single precision: $ResultSp"
+echo "#"
+
+ExitCode="0"
+
+if [ "$ExitCodeDp" != 0 -o "$ExitCodeSp" != 0 ]; then
+ ExitCode="1"
+fi
+
+exit "$ExitCode"
-./test-verification.sh "$BinaryV"
projects / LbmBenchmarkKernelsPublic.git / commitdiff
