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- <div class="titlepage"><div><div><h3 class="title">
- <a name="boost_multiprecision.perf.int_real_world"></a><a class="link" href="int_real_world.html" title="Integer Real World Tests">Integer Real
- World Tests</a>
- </h3></div></div></div>
- <p>
- The first set of <a href="../../../../performance/voronoi_performance.cpp" target="_top">tests</a>
- measure the times taken to execute the multiprecision part of the Voronoi-diagram
- builder from Boost.Polygon. The tests mainly create a large number of temporaries
- "just in case" multiprecision arithmetic is required, for comparison,
- also included in the tests is Boost.Polygon's own partial-multiprecision
- integer type which was custom written for this specific task:
- </p>
- <div class="informaltable"><table class="table">
- <colgroup>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- Integer Type
- </p>
- </th>
- <th>
- <p>
- Relative Performance (Actual time in parenthesis)
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- polygon::detail::extended_int
- </p>
- </td>
- <td>
- <p>
- 1(0.138831s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- int256_t
- </p>
- </td>
- <td>
- <p>
- 1.19247(0.165551s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- int512_t
- </p>
- </td>
- <td>
- <p>
- 1.23301(0.17118s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- int1024_t
- </p>
- </td>
- <td>
- <p>
- 1.21463(0.168628s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- checked_int256_t
- </p>
- </td>
- <td>
- <p>
- 1.31711(0.182855s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- checked_int512_t
- </p>
- </td>
- <td>
- <p>
- 1.57413(0.218538s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- checked_int1024_t
- </p>
- </td>
- <td>
- <p>
- 1.36992(0.190187s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int
- </p>
- </td>
- <td>
- <p>
- 1.63244(0.226632s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- mpz_int
- </p>
- </td>
- <td>
- <p>
- 5.42511(0.753172s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- tom_int
- </p>
- </td>
- <td>
- <p>
- 29.0793(4.03709s)
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- <p>
- Note how for this use case, any dynamic allocation is a performance killer.
- </p>
- <p>
- The next <a href="../../../../performance/miller_rabin_performance.cpp" target="_top">tests</a>
- measure the time taken to generate 1000 128-bit random numbers and test for
- primality using the Miller Rabin test. This is primarily a test of modular-exponentiation
- since that is the rate limiting step:
- </p>
- <div class="informaltable"><table class="table">
- <colgroup>
- <col>
- <col>
- </colgroup>
- <thead><tr>
- <th>
- <p>
- Integer Type
- </p>
- </th>
- <th>
- <p>
- Relative Performance (Actual time in parenthesis)
- </p>
- </th>
- </tr></thead>
- <tbody>
- <tr>
- <td>
- <p>
- cpp_int
- </p>
- </td>
- <td>
- <p>
- 5.25827(0.379597s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int (no Expression templates)
- </p>
- </td>
- <td>
- <p>
- 5.15675(0.372268s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int (128-bit cache)
- </p>
- </td>
- <td>
- <p>
- 5.10882(0.368808s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int (256-bit cache)
- </p>
- </td>
- <td>
- <p>
- 5.50623(0.397497s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int (512-bit cache)
- </p>
- </td>
- <td>
- <p>
- 4.82257(0.348144s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- cpp_int (1024-bit cache)
- </p>
- </td>
- <td>
- <p>
- 5.00053(0.360991s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- int1024_t
- </p>
- </td>
- <td>
- <p>
- 4.37589(0.315897s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- checked_int1024_t
- </p>
- </td>
- <td>
- <p>
- 4.52396(0.326587s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- mpz_int
- </p>
- </td>
- <td>
- <p>
- 1(0.0721905s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- mpz_int (no Expression templates)
- </p>
- </td>
- <td>
- <p>
- 1.0248(0.0739806s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- tom_int
- </p>
- </td>
- <td>
- <p>
- 2.60673(0.188181s)
- </p>
- </td>
- </tr>
- <tr>
- <td>
- <p>
- tom_int (no Expression templates)
- </p>
- </td>
- <td>
- <p>
- 2.64997(0.191303s)
- </p>
- </td>
- </tr>
- </tbody>
- </table></div>
- <p>
- It's interesting to note that expression templates have little effect here
- - perhaps because the actual expressions involved are relatively trivial
- in this case - so the time taken for multiplication and division tends to
- dominate. Also note how increasing the internal cache size used by <code class="computeroutput"><span class="identifier">cpp_int</span></code> is quite effective in this case
- in cutting out memory allocations altogether - cutting about a third off
- the total runtime. Finally the much quicker times from GMP and tommath are
- down to their much better modular-exponentiation algorithms (GMP's is about
- 5x faster). That's an issue which needs to be addressed in a future release
- for <a class="link" href="../tut/ints/cpp_int.html" title="cpp_int">cpp_int</a>.
- </p>
- <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>
- <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
- <td align="left"></td>
- <td align="right"><div class="copyright-footer">Copyright © 2002-2019 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>)
- </p>
- </div></td>
- </tr></table>
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