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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>
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      and Christopher Kormanyos<p>
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