boost-react-native-bundle

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> <html><head> <meta http-equiv="Content-Language" content="en-us"> <meta http-equiv="Content-Type" content="text/html; charset=windows-1252"><title>Voronoi Benchmark</title></head><body> <table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"> <tbody> <tr> <td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top"> <div style="padding: 5px;" align="center"> <img src="images/boost.png" border="0" height="86" width="277"><a title="www.boost.org home page" tabindex="2" style="border: medium none ;" href="http://www.boost.org/"> </a></div> <div style="margin: 5px;"> <h3 class="navbar">Contents</h3> <ul> <li><a href="index.htm">Boost.Polygon Main Page</a></li> <li><a href="gtl_design_overview.htm">Design Overview</a></li> <li><a href="gtl_isotropy.htm">Isotropy</a></li> <li><a href="gtl_coordinate_concept.htm">Coordinate Concept</a></li> <li><a href="gtl_interval_concept.htm">Interval Concept</a></li> <li><a href="gtl_point_concept.htm">Point Concept</a></li> <li><a href="gtl_segment_concept.htm">Segment Concept</a></li> <li><a href="gtl_rectangle_concept.htm">Rectangle Concept</a></li> <li><a href="gtl_polygon_90_concept.htm">Polygon 90 Concept</a></li> <li><a href="gtl_polygon_90_with_holes_concept.htm">Polygon 90 With Holes Concept</a></li> <li><a href="gtl_polygon_45_concept.htm">Polygon 45 Concept</a></li> <li><a href="gtl_polygon_45_with_holes_concept.htm">Polygon 45 With Holes Concept</a></li> <li><a href="gtl_polygon_concept.htm">Polygon Concept</a></li> <li><a href="gtl_polygon_with_holes_concept.htm">Polygon With Holes Concept</a></li> <li><a href="gtl_polygon_90_set_concept.htm">Polygon 90 Set Concept</a></li> <li><a href="gtl_polygon_45_set_concept.htm">Polygon 45 Set Concept</a></li> <li><a href="gtl_polygon_set_concept.htm">Polygon Set Concept</a></li> <li><a href="gtl_connectivity_extraction_90.htm">Connectivity Extraction 90</a></li> <li><a href="gtl_connectivity_extraction_45.htm">Connectivity Extraction 45</a></li> <li><a href="gtl_connectivity_extraction.htm">Connectivity Extraction</a></li> <li><a href="gtl_property_merge_90.htm">Property Merge 90</a></li> <li><a href="gtl_property_merge_45.htm">Property Merge 45</a></li> <li><a href="gtl_property_merge.htm">Property Merge</a></li> <li><a href="voronoi_main.htm">Voronoi Main Page<br> </a></li> <li>Voronoi Benchmark<br> </li> <li><a href="voronoi_builder.htm">Voronoi Builder</a></li> <li><a href="voronoi_diagram.htm">Voronoi Diagram</a></li> </ul> <h3 class="navbar">Other Resources</h3> <ul> <li><a href="GTL_boostcon2009.pdf">GTL Boostcon 2009 Paper</a></li> <li><a href="GTL_boostcon_draft03.pdf">GTL Boostcon 2009 Presentation</a></li> <li><a href="analysis.htm">Performance Analysis</a></li> <li><a href="gtl_tutorial.htm">Layout Versus Schematic Tutorial</a></li> <li><a href="gtl_minkowski_tutorial.htm">Minkowski Sum Tutorial</a></li> <li><a href="voronoi_basic_tutorial.htm">Voronoi Basic Tutorial</a></li> <li><a href="voronoi_advanced_tutorial.htm">Voronoi Advanced Tutorial</a></li> </ul> </div> <h3 class="navbar">Polygon Sponsor</h3> <div style="padding: 5px;" align="center"> <img src="images/intlogo.gif" border="0" height="51" width="127"><a title="www.adobe.com home page" tabindex="2" style="border: medium none ;" href="http://www.adobe.com/"> </a></div> </td> <td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%"> <br> <h1>Voronoi Benchmark</h1> <h2>Benchmark Details</h2> From the topological perspective Delaunay triangulation is a dual data structure to the Voronoi diagram, thus libraries that provide Delaunay triangulation construction routines were also included into the benchmark. However, from the computation perspective Voronoi diagram contains more information as it embeds information regarding the coordinates of the centers of the inscribed circles tangent to the three or more input geometries.<br> The benchmark consists of the two parts:<br> <ol> <li>construction of the Voronoi diagram / Delaunay triangulation of a set of random points uniformly distributed over 32-bit integer grid (<a href="../benchmark/voronoi_benchmark_points.cpp"><span style="text-decoration: underline;">voronoi_benchmark_points.cpp</span></a>)</li><li>construction of the Voronoi diagram / Delaunay triangulation of a set of random non-intersecting segments uniformly distributed over 32-bit integer grid (<a href="../benchmark/voronoi_benchmark_segments.cpp">voronoi_benchmark_segments.cpp</a>).</li> </ol> <h2>Libraries</h2> <table style="text-align: left; width: 100%;" border="1" cellpadding="2" cellspacing="2"> <tbody> <tr> <td style="vertical-align: top;"><span style="font-weight: bold;">Library</span><br> </td> <td style="vertical-align: top; font-weight: bold;">Boost.Polygon<br> </td> <td style="vertical-align: top; font-weight: bold;">CGAL<br> </td> <td style="vertical-align: top; font-weight: bold;">SHull<br> </td> </tr> <tr> <td style="vertical-align: top;">Official page<br> </td> <td style="vertical-align: top;">www.boost.org/libs/polygon‎<br> </td> <td style="vertical-align: top;">http://www.cgal.org<br> </td> <td style="vertical-align: top;">http://www.s-hull.org<br> </td> </tr> <tr> <td style="vertical-align: top;">Algorithm<br> </td> <td style="vertical-align: top;">sweep-line<br> </td> <td style="vertical-align: top;">incremental<br> </td> <td style="vertical-align: top;">sweep-hull<br> </td> </tr> <tr> <td style="vertical-align: top;">Supported input geometries<br> </td> <td style="vertical-align: top;">points and segments<br> </td> <td style="vertical-align: top;">points and segments<br> </td> <td style="vertical-align: top;">points<br> </td> </tr> <tr> <td style="vertical-align: top;">Output data structure<br> </td> <td style="vertical-align: top;">Voronoi diagram<br> </td> <td style="vertical-align: top;">Delaunay triangulation<br> </td> <td style="vertical-align: top;">Delaunay triangulation<br> </td> </tr> <tr> <td style="vertical-align: top;">Complexity<br> </td> <td style="vertical-align: top;">O(N log N)<br> </td> <td style="vertical-align: top;">O(N log N)</td> <td style="vertical-align: top;">O(N log N)</td> </tr> <tr> <td style="vertical-align: top;">Memory usage<br> </td> <td style="vertical-align: top;">O(N)<br> </td> <td style="vertical-align: top;">O(N)<br> </td> <td style="vertical-align: top;">O(N)<br> </td> </tr> <tr> <td style="vertical-align: top;">Robustness policies<br> </td> <td style="vertical-align: top;">lazy arithmetic, exact predicates, topology analysis<br> </td> <td style="vertical-align: top;">lazy arithmetic, exact predicates, topology analysis<br> </td> <td style="vertical-align: top;">non-robust<br> </td> </tr> <tr> <td style="vertical-align: top;">Output coordinates precision<br> </td> <td style="vertical-align: top;">128 machine epsilon<br> </td> <td style="vertical-align: top;">no output coordinates<br> </td> <td style="vertical-align: top;">no output coordinates<br> </td> </tr> <tr> <td style="vertical-align: top;">External dependencies<br> </td> <td style="vertical-align: top;">No<br> </td> <td style="vertical-align: top;">Boost, GMP, MPFR<br> </td> <td style="vertical-align: top;">No<br> </td> </tr> </tbody> </table> <br> The other known libraries (<a href="https://github.com/aewallin/openvoronoi">OpenVoronoi</a>, <a href="http://www.cs.cmu.edu/%7Equake/triangle.html">Triangle</a>, <a href="http://www.cosy.sbg.ac.at/%7Eheld/projects/vroni/vroni.html">Vroni</a>) will be considered for the inclusion into the benchmark in the future.<br> <ul> <ul> </ul> <ul> </ul> </ul> <h2>System Configuration<br> </h2> Hardware: Intel i5-7600 2.8 GHz, 16GiB RAM.<br> OS: Ubuntu 13.04 64-bit.<br> Compiler: GCC 4.7.3.<br> Libraries and dependencies: Boost 1.54.0, CGAL-4.3-beta1, GMP 5.1.4, MPFR 3.1.2, S-Hull.<br> <h2>Benchmark Results</h2> <h3>Random Points Benchmark</h3><img style="border: 1px solid ; width: 500px; height: 350px;" alt="Benchmark Points Chart" src="../benchmark/benchmark_results/plots/benchmark_points.png"><br> <table style="text-align: left; width: 100%; margin-left: auto; margin-right: auto;" border="1" cellpadding="2" cellspacing="2"> <tbody> <tr> <td colspan="2" rowspan="1" style="vertical-align: top; text-align: center;">Test specification<br> </td> <td colspan="6" rowspan="1" style="vertical-align: top; text-align: center;">Average construction time (in secs)<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: center;">Number of Points<br> </td> <td style="vertical-align: top; text-align: center;">Number of Runs<br> </td> <td style="vertical-align: top; text-align: center;">Boost Linux-64<br> </td> <td style="vertical-align: top; text-align: center;">CGAL Linux-64<br> </td> <td style="vertical-align: top; text-align: center;">S-Hull Linux-64<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">100<br> </td> <td style="vertical-align: top; text-align: right;">10000<br> </td> <td style="vertical-align: top; text-align: right;">0.000206<br> </td> <td style="vertical-align: top; text-align: right;"> 0.000073<br> </td> <td style="vertical-align: top; text-align: right;">0.000243<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">1000<br> </td> <td style="vertical-align: top; text-align: right;">1000<br> </td> <td style="vertical-align: top; text-align: right;">0.002250<br> </td> <td style="vertical-align: top; text-align: right;">0.000753<br> </td> <td style="vertical-align: top; text-align: right;">0.002184<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">10000<br> </td> <td style="vertical-align: top; text-align: right;">100<br> </td> <td style="vertical-align: top; text-align: right;">0.024100<br> </td> <td style="vertical-align: top; text-align: right;">0.007917<br> </td> <td style="vertical-align: top; text-align: right;">0.030552<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">100000<br> </td> <td style="vertical-align: top; text-align: right;">10<br> </td> <td style="vertical-align: top; text-align: right;">0.292000<br> </td> <td style="vertical-align: top; text-align: right;">0.084336<br> </td> <td style="vertical-align: top; text-align: right;">0.451913<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">1000000<br> </td> <td style="vertical-align: top; text-align: right;">1<br> </td> <td style="vertical-align: top; text-align: right;">3.470000<br> </td> <td style="vertical-align: top; text-align: right;">0.902300<br> </td> <td style="vertical-align: top; text-align: right;">6.603814<br> </td> </tr> </tbody> </table> <br> <h3>Random Segments Benchmark</h3><img style="border: 1px solid ; width: 500px; height: 350px;" alt="Benchmark Segment Chart" src="../benchmark/benchmark_results/plots/benchmark_segments.png"><br> <table style="text-align: left; width: 100%;" border="1" cellpadding="2" cellspacing="2"> <tbody> <tr> <td colspan="2" rowspan="1" style="vertical-align: top; text-align: center;">Test specification<br> </td> <td colspan="4" rowspan="1" style="vertical-align: top; text-align: center;">Average construction time (in secs)</td> </tr> <tr> <td style="vertical-align: top; text-align: center;">Number of Segments<br> </td> <td style="vertical-align: top; text-align: center;">Number of Runs<br> </td> <td style="vertical-align: top; text-align: center;">Boost Linux-64<br> </td> <td style="vertical-align: top; text-align: center;">CGAL Linux-64<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">100<br> </td> <td style="vertical-align: top; text-align: right;">10000<br> </td> <td style="vertical-align: top; text-align: right;">0.002284<br> </td> <td style="vertical-align: top; text-align: right;">0.002985<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">1000<br> </td> <td style="vertical-align: top; text-align: right;">1000<br> </td> <td style="vertical-align: top; text-align: right;">0.023240<br> </td> <td style="vertical-align: top; text-align: right;">0.032180<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">10000<br> </td> <td style="vertical-align: top; text-align: right;">100<br> </td> <td style="vertical-align: top; text-align: right;"> 0.237700<br> </td> <td style="vertical-align: top; text-align: right;">0.337400<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">100000<br> </td> <td style="vertical-align: top; text-align: right;">10<br> </td> <td style="vertical-align: top; text-align: right;">2.488000<br> </td> <td style="vertical-align: top; text-align: right;">3.633000<br> </td> </tr> <tr> <td style="vertical-align: top; text-align: right;">1000000<br> </td> <td style="vertical-align: top; text-align: right;">1<br> </td> <td style="vertical-align: top; text-align: right;">25.00000<br> </td> <td style="vertical-align: top; text-align: right;">39.090000<br> </td> </tr> </tbody> </table> <br><span style="font-weight: bold;"></span></td> </tr> <tr> <td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top"> </td> <td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%"> <table class="docinfo" id="table2" frame="void" rules="none"> <colgroup> <col class="docinfo-name"><col class="docinfo-content"> </colgroup> <tbody valign="top"> <tr> <th class="docinfo-name">Copyright:</th> <td>Copyright � Andrii Sydorchuk 2010-2012.</td> </tr> <tr class="field"> <th class="docinfo-name">License:</th> <td class="field-body">Distributed under the Boost Software License, Version 1.0. (See accompanying file <tt class="literal"><span class="pre">LICENSE_1_0.txt</span></tt> or copy at <a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt"> http://www.boost.org/LICENSE_1_0.txt</a>)</td> </tr> </tbody> </table> </td> </tr> </tbody> </table> </body></html>