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<html>
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<title>Floating-Point Real World Tests</title>
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<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.perf.realworld"></a><a class="link" href="realworld.html" title="Floating-Point Real World Tests">Floating-Point Real
      World Tests</a>
</h3></div></div></div>
<p>
        These tests test the total time taken to execute all of Boost.Math's test
        cases for these functions. In each case the best performing library gets
        a relative score of 1, with the total execution time given in brackets. The
        first three libraries listed are the various floating point types provided
        by this library, while for comparison, two popular C++ front-ends to <a href="http://www.mpfr.org" target="_top">MPFR</a> ( <a href="http://math.berkeley.edu/~wilken/code/gmpfrxx/" target="_top">mpfr_class</a>
        and <a href="http://www.holoborodko.com/pavel/mpfr/" target="_top">mpreal</a>) are
        also shown.
      </p>
<div class="table">
<a name="boost_multiprecision.perf.realworld.bessel_function_performance"></a><p class="title"><b>Table&#160;1.12.&#160;Bessel Function Performance</b></p>
<div class="table-contents"><table class="table" summary="Bessel Function Performance">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Library
                </p>
              </th>
<th>
                <p>
                  50 Decimal Digits
                </p>
              </th>
<th>
                <p>
                  100 Decimal Digits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.2 (5.78s)
                </p>
              </td>
<td>
                <p>
                  1.2 (9.56s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.1 (5.47s)
                </p>
              </td>
<td>
                <p>
                  1.1 (9.09s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1.0</strong></span> (4.82s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1.0</strong></span>(8.07s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  1.8 (8.54s)
                </p>
              </td>
<td>
                <p>
                  2.6 (20.66s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <a href="http://math.berkeley.edu/~wilken/code/gmpfrxx/" target="_top">mpfr_class</a>
                </p>
              </td>
<td>
                <p>
                  1.3 (6.28s)
                </p>
              </td>
<td>
                <p>
                  1.2(10.06s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <a href="http://www.holoborodko.com/pavel/mpfr/" target="_top">mpreal</a>
                </p>
              </td>
<td>
                <p>
                  2.0 (9.54s)
                </p>
              </td>
<td>
                <p>
                  1.7 (14.08s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.realworld.non_central_t_distribution_perfo"></a><p class="title"><b>Table&#160;1.13.&#160;Non-Central T Distribution Performance</b></p>
<div class="table-contents"><table class="table" summary="Non-Central T Distribution Performance">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Library
                </p>
              </th>
<th>
                <p>
                  50 Decimal Digits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.3 (263.27s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  static_mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.2 (232.88s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpf_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1.0</strong></span> (195.73s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  1.9 (366.38s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <a href="http://math.berkeley.edu/~wilken/code/gmpfrxx/" target="_top">mpfr_class</a>
                </p>
              </td>
<td>
                <p>
                  1.5 (286.94s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <a href="http://www.holoborodko.com/pavel/mpfr/" target="_top">mpreal</a>
                </p>
              </td>
<td>
                <p>
                  2.0 (388.70s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
        turned on (/Ox), and used MPIR-2.3.0 and <a href="http://www.mpfr.org" target="_top">MPFR</a>-3.0.0.
        The tests were run on 32-bit Windows Vista machine.
      </p>
</div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2013 John Maddock and Christopher Kormanyos<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        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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