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<html>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<title>Comparisons to Other Open Source Libraries</title>
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<link rel="up" href="../perf.html" title="Chapter 16. Performance">
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<link rel="prev" href="comp_compilers.html" title="Comparing Different Compilers">
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<table cellpadding="2" width="100%"><tr>
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<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td>
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<td align="center"><a href="../../../../../index.html">Home</a></td>
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<a accesskey="p" href="comp_compilers.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="perf_test_app.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
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<div class="section">
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="math_toolkit.comparisons"></a><a class="link" href="comparisons.html" title="Comparisons to Other Open Source Libraries">Comparisons to Other Open Source
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Libraries</a>
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</h2></div></div></div>
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<p>
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We've run our performance tests both for our own code, and against other open
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source implementations of the same functions. The results are presented below
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to give you a rough idea of how they all compare. In order to give a more-or-less
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level playing field our test data was screened against all the libraries being
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tested, and any unsupported domains removed, likewise for any test cases that
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gave large errors or unexpected non-finite values.
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</p>
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<div class="caution"><table border="0" summary="Caution">
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<tr>
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<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../../doc/src/images/caution.png"></td>
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<th align="left">Caution</th>
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</tr>
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<tr><td align="left" valign="top"><p>
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You should exercise extreme caution when interpreting these results, relative
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performance may vary by platform, the tests use data that gives good code
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coverage of <span class="emphasis"><em>our</em></span> code, but which may skew the results
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towards the corner cases. Finally, remember that different libraries make
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different choices with regard to performance verses numerical stability.
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</p></td></tr>
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</table></div>
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<p>
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The first results compare standard library functions to Boost equivalents with
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MSVC-14.0:
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</p>
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<div class="table">
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<a name="math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 16.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows
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x64</b></p>
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<div class="table-contents"><table class="table" summary="Library Comparison with Microsoft Visual C++ version 14.0 on Windows
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x64">
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<colgroup>
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<col>
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<col>
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<col>
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</colgroup>
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<thead><tr>
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<th>
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<p>
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Function
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</p>
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</th>
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<th>
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<p>
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boost 1.61
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</p>
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</th>
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<th>
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<p>
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math.h
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</p>
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</th>
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</tr></thead>
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<tbody>
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<tr>
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<td>
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<p>
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cbrt<br> (85/85 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (45ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="blue">1.44<br> (65ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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cyl_bessel_j (integer order)<br> (267/268 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (103ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="red">2.11<br> (217ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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cyl_neumann (integer order)<br> (428/428 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="blue">1.57<br> (225ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (143ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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erf<br> (950/950 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.10<br> (23ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (21ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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erfc<br> (950/950 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (22ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="red">3.36<br> (74ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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expm1<br> (80/80 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (10ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.10<br> (11ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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lgamma<br> (400/400 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (73ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="blue">1.74<br> (127ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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log1p<br> (80/80 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.08<br> (14ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (13ns)</span>
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</p>
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</td>
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</tr>
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<tr>
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<td>
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<p>
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tgamma<br> (400/400 tests selected)
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</p>
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</td>
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<td>
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<p>
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<span class="green">1.00<br> (77ns)</span>
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</p>
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</td>
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<td>
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<p>
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<span class="red">12.12<br> (933ns)</span>
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</p>
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</td>
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</tr>
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</tbody>
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</table></div>
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</div>
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<br class="table-break"><p>
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On Linux with GCC, we can also compare to the TR1 functions, and to GSL and
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RMath:
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</p>
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<p>
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[table_Library_Comparison_with_GNU_C_version_5_1_0_on_linux]
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</p>
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<p>
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And finally we can compare the statistical distributions to GSL, RMath and
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DCDFLIB:
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</p>
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<p>
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[table_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux]
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal,
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Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
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Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani,
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Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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>)
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</p>
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</div></td>
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</tr></table>
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<hr>
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<div class="spirit-nav">
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<a accesskey="p" href="comp_compilers.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="perf_test_app.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
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