ceph/src/boost/libs/math/doc/html/math_toolkit/comparisons.html

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  26 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
  27 <a name="math_toolkit.comparisons"></a><a class="link" href="comparisons.html" title="Comparisons to Other Open Source Libraries">Comparisons to Other Open Source
  28     Libraries</a>
  29 </h2></div></div></div>
  30 <p>
  31       We've run our performance tests both for our own code, and against other open
  32       source implementations of the same functions. The results are presented below
  33       to give you a rough idea of how they all compare. In order to give a more-or-less
  34       level playing field our test data was screened against all the libraries being
  35       tested, and any unsupported domains removed, likewise for any test cases that
  36       gave large errors or unexpected non-finite values.
  37     </p>
  38 <div class="caution"><table border="0" summary="Caution">
  39 <tr>
  40 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../../doc/src/images/caution.png"></td>
  41 <th align="left">Caution</th>
  42 </tr>
  43 <tr><td align="left" valign="top"><p>
  44         You should exercise extreme caution when interpreting these results, relative
  45         performance may vary by platform, the tests use data that gives good code
  46         coverage of <span class="emphasis"><em>our</em></span> code, but which may skew the results
  47         towards the corner cases. Finally, remember that different libraries make
  48         different choices with regard to performance verses numerical stability.
  49       </p></td></tr>
  50 </table></div>
  51 <p>
  52       The first results compare standard library functions to Boost equivalents with
  53       MSVC-14.0:
  54     </p>
  55 <div class="table">
  56 <a name="math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table&#160;16.7.&#160;Library Comparison with Microsoft Visual C++ version 14.0 on Windows
  57       x64</b></p>
  58 <div class="table-contents"><table class="table" summary="Library Comparison with Microsoft Visual C++ version 14.0 on Windows
  59       x64">
  60 <colgroup>
  61 <col>
  62 <col>
  63 <col>
  64 </colgroup>
  65 <thead><tr>
  66 <th>
  67               <p>
  68                 Function
  69               </p>
  70             </th>
  71 <th>
  72               <p>
  73                 boost 1.61
  74               </p>
  75             </th>
  76 <th>
  77               <p>
  78                 math.h
  79               </p>
  80             </th>
  81 </tr></thead>
  82 <tbody>
  83 <tr>
  84 <td>
  85               <p>
  86                 cbrt<br> (85/85 tests selected)
  87               </p>
  88             </td>
  89 <td>
  90               <p>
  91                 <span class="green">1.00<br> (45ns)</span>
  92               </p>
  93             </td>
  94 <td>
  95               <p>
  96                 <span class="blue">1.44<br> (65ns)</span>
  97               </p>
  98             </td>
  99 </tr>
 100 <tr>
 101 <td>
 102               <p>
 103                 cyl_bessel_j (integer order)<br> (267/268 tests selected)
 104               </p>
 105             </td>
 106 <td>
 107               <p>
 108                 <span class="green">1.00<br> (103ns)</span>
 109               </p>
 110             </td>
 111 <td>
 112               <p>
 113                 <span class="red">2.11<br> (217ns)</span>
 114               </p>
 115             </td>
 116 </tr>
 117 <tr>
 118 <td>
 119               <p>
 120                 cyl_neumann (integer order)<br> (428/428 tests selected)
 121               </p>
 122             </td>
 123 <td>
 124               <p>
 125                 <span class="blue">1.57<br> (225ns)</span>
 126               </p>
 127             </td>
 128 <td>
 129               <p>
 130                 <span class="green">1.00<br> (143ns)</span>
 131               </p>
 132             </td>
 133 </tr>
 134 <tr>
 135 <td>
 136               <p>
 137                 erf<br> (950/950 tests selected)
 138               </p>
 139             </td>
 140 <td>
 141               <p>
 142                 <span class="green">1.10<br> (23ns)</span>
 143               </p>
 144             </td>
 145 <td>
 146               <p>
 147                 <span class="green">1.00<br> (21ns)</span>
 148               </p>
 149             </td>
 150 </tr>
 151 <tr>
 152 <td>
 153               <p>
 154                 erfc<br> (950/950 tests selected)
 155               </p>
 156             </td>
 157 <td>
 158               <p>
 159                 <span class="green">1.00<br> (22ns)</span>
 160               </p>
 161             </td>
 162 <td>
 163               <p>
 164                 <span class="red">3.36<br> (74ns)</span>
 165               </p>
 166             </td>
 167 </tr>
 168 <tr>
 169 <td>
 170               <p>
 171                 expm1<br> (80/80 tests selected)
 172               </p>
 173             </td>
 174 <td>
 175               <p>
 176                 <span class="green">1.00<br> (10ns)</span>
 177               </p>
 178             </td>
 179 <td>
 180               <p>
 181                 <span class="green">1.10<br> (11ns)</span>
 182               </p>
 183             </td>
 184 </tr>
 185 <tr>
 186 <td>
 187               <p>
 188                 lgamma<br> (400/400 tests selected)
 189               </p>
 190             </td>
 191 <td>
 192               <p>
 193                 <span class="green">1.00<br> (73ns)</span>
 194               </p>
 195             </td>
 196 <td>
 197               <p>
 198                 <span class="blue">1.74<br> (127ns)</span>
 199               </p>
 200             </td>
 201 </tr>
 202 <tr>
 203 <td>
 204               <p>
 205                 log1p<br> (80/80 tests selected)
 206               </p>
 207             </td>
 208 <td>
 209               <p>
 210                 <span class="green">1.08<br> (14ns)</span>
 211               </p>
 212             </td>
 213 <td>
 214               <p>
 215                 <span class="green">1.00<br> (13ns)</span>
 216               </p>
 217             </td>
 218 </tr>
 219 <tr>
 220 <td>
 221               <p>
 222                 tgamma<br> (400/400 tests selected)
 223               </p>
 224             </td>
 225 <td>
 226               <p>
 227                 <span class="green">1.00<br> (77ns)</span>
 228               </p>
 229             </td>
 230 <td>
 231               <p>
 232                 <span class="red">12.12<br> (933ns)</span>
 233               </p>
 234             </td>
 235 </tr>
 236 </tbody>
 237 </table></div>
 238 </div>
 239 <br class="table-break"><p>
 240       On Linux with GCC, we can also compare to the TR1 functions, and to GSL and
 241       RMath:
 242     </p>
 243 <p>
 244       [table_Library_Comparison_with_GNU_C_version_5_1_0_on_linux]
 245     </p>
 246 <p>
 247       And finally we can compare the statistical distributions to GSL, RMath and
 248       DCDFLIB:
 249     </p>
 250 <p>
 251       [table_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux]
 252     </p>
 253 </div>
 254 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 255 <td align="left"></td>
 256 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014 Nikhar Agrawal,
 257       Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
 258       Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam Sewani,
 259       Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
 260         Distributed under the Boost Software License, Version 1.0. (See accompanying
 261         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
 262       </p>
 263 </div></td>
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