| <html> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> |
| <title>Comparisons to Other Open Source Libraries</title> |
| <link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css"> |
| <meta name="generator" content="DocBook XSL Stylesheets V1.74.0"> |
| <link rel="home" href="../../index.html" title="Math Toolkit"> |
| <link rel="up" href="../perf.html" title="Performance"> |
| <link rel="prev" href="tuning.html" title="Performance Tuning Macros"> |
| <link rel="next" href="perf_test_app.html" title="The Performance Test Application"> |
| </head> |
| <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> |
| <table cellpadding="2" width="100%"><tr> |
| <td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../boost.png"></td> |
| <td align="center"><a href="../../../../../../../index.html">Home</a></td> |
| <td align="center"><a href="../../../../../../../libs/libraries.htm">Libraries</a></td> |
| <td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> |
| <td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> |
| <td align="center"><a href="../../../../../../../more/index.htm">More</a></td> |
| </tr></table> |
| <hr> |
| <div class="spirit-nav"> |
| <a accesskey="p" href="tuning.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> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="math_toolkit.perf.comparisons"></a><a class="link" href="comparisons.html" title="Comparisons to Other Open Source Libraries"> Comparisons to Other |
| Open Source Libraries</a> |
| </h3></div></div></div> |
| <p> |
| We've run our performance tests both for our own code, and against other |
| open source implementations of the same functions. The results are presented |
| below to give you a rough idea of how they all compare. |
| </p> |
| <div class="caution"><table border="0" summary="Caution"> |
| <tr> |
| <td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../../../../doc/src/images/caution.png"></td> |
| <th align="left">Caution</th> |
| </tr> |
| <tr><td align="left" valign="top"><p> |
| You should exercise extreme caution when interpreting these results, relative |
| performance may vary by platform, the tests use data that gives good code |
| coverage of <span class="emphasis"><em>our</em></span> code, but which may skew the results |
| towards the corner cases. Finally, remember that different libraries make |
| different choices with regard to performance verses numerical stability. |
| </p></td></tr> |
| </table></div> |
| <a name="math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes"></a><h5> |
| <a name="id1277204"></a> |
| <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_gsl_1_13_and_cephes">Comparison |
| to GSL-1.13 and Cephes</a> |
| </h5> |
| <p> |
| All the results were measured on a 2.0GHz Intel T5800 Core 2 Duo, 4Gb RAM, |
| Windows Vista machine, with the test program compiled with Microsoft Visual |
| C++ 2009 using the /Ox option. |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Function |
| </p> |
| </th> |
| <th> |
| <p> |
| Boost |
| </p> |
| </th> |
| <th> |
| <p> |
| GSL-1.9 |
| </p> |
| </th> |
| <th> |
| <p> |
| Cephes |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/powers/cbrt.html" title="cbrt">cbrt</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.873e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.699e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/powers/log1p.html" title="log1p">log1p</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.664e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.677e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.189e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/powers/expm1.html" title="expm1">expm1</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.760e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.248e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.169e-008s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_gamma/tgamma.html" title="Gamma">tgamma</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.80</p> |
| <p> </p> |
| <p>(2.997e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.54</p> |
| <p> </p> |
| <p>(2.569e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.666e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_gamma/lgamma.html" title="Log Gamma">lgamma</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.20</p> |
| <p> </p> |
| <p>(3.045e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.14</p> |
| <p> </p> |
| <p>(5.713e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.381e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erf</a> |
| and <a class="link" href="../special/sf_erf/error_function.html" title="Error Functions">erfc</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.483e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(7.052e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.722e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_p</a> |
| and <a class="link" href="../special/sf_gamma/igamma.html" title="Incomplete Gamma Functions">gamma_q</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.182e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.57</p> |
| <p> </p> |
| <p>(2.209e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.29</p> |
| <p> </p> |
| <p>(2.651e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_p_inv</a> |
| and <a class="link" href="../special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">gamma_q_inv</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.943e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| <td> |
| <p> |
| +INF <sup>[<a name="id1277760" href="#ftn.id1277760" class="footnote">1</a>]</sup> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a> |
| and <a class="link" href="../special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.670e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.16</p> |
| <p> </p> |
| <p>(1.935e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.16</p> |
| <p> </p> |
| <p>(1.935e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibeta_inv</a> |
| and <a class="link" href="../special/sf_beta/ibeta_inv_function.html" title="The Incomplete Beta Function Inverses">ibetac_inv</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.075e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.45</p> |
| <p> </p> |
| <p>(1.489e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/bessel/bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>17.89<sup>[<a name="id1277918" href="#ftn.id1277918" class="footnote">2</a>]</sup></p> |
| <p> </p> |
| <p>(4.248e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.214e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.374e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.924e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.487e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.823e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_k</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.783e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.927e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| N/A |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../special/bessel/bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.465e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.230e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.977e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| <tbody class="footnotes"><tr><td colspan="4"> |
| <div class="footnote"><p><sup>[<a name="ftn.id1277760" href="#id1277760" class="para">1</a>] </sup> |
| Cephes gets stuck in an infinite loop while trying to execute |
| our test cases. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1277918" href="#id1277918" class="para">2</a>] </sup> |
| The performance here is dominated by a few cases where the parameters |
| grow very large: faster asymptotic expansions are available, |
| but are of limited (or even frankly terrible) precision. The |
| same issue effects all of our Bessel function implementations, |
| but doesn't necessarily show in the current performance data. |
| More investigation is needed here. |
| </p></div> |
| </td></tr></tbody> |
| </table></div> |
| <a name="math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows"></a><h5> |
| <a name="id1278161"></a> |
| <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_and_dcdflib_statistical_libraries_on_windows">Comparison |
| to the R and DCDFLIB Statistical Libraries on Windows</a> |
| </h5> |
| <p> |
| All the results were measured on a 2.0GHz Intel T5800 Core 2 Duo, 4Gb RAM, |
| Windows Vista machine, with the test program compiled with Microsoft Visual |
| C++ 2009, and R-2.9.2 compiled in "standalone mode" with MinGW-4.3 |
| (R-2.9.2 appears not to be buildable with Visual C++). |
| </p> |
| <div class="table"> |
| <a name="math_toolkit.perf.comparisons.a_comparison_to_the_r_statistical_library_on_windows_xp"></a><p class="title"><b>Table 51. A Comparison to the R Statistical Library on Windows XP</b></p> |
| <div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Windows XP"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Statistical Function |
| </p> |
| </th> |
| <th> |
| <p> |
| Boost |
| </p> |
| </th> |
| <th> |
| <p> |
| R |
| </p> |
| </th> |
| <th> |
| <p> |
| DCDFLIB |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.08</p> |
| <p> </p> |
| <p>(1.385e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.278e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.06</p> |
| <p> </p> |
| <p>(1.349e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.975e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>67.66<sup>[<a name="id1278326" href="#ftn.id1278326" class="footnote">1</a>]</sup></p> |
| <p> </p> |
| <p>(3.366e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.23</p> |
| <p> </p> |
| <p>(2.103e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.06</p> |
| <p> </p> |
| <p>(4.503e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.81</p> |
| <p> </p> |
| <p>(7.680e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.239e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.254e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.15</p> |
| <p> </p> |
| <p>(3.746e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>7.25</p> |
| <p> </p> |
| <p>(2.358e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.134e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.08</p> |
| <p> </p> |
| <p>(1.227e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.203e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.203e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi |
| Squared Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.21</p> |
| <p> </p> |
| <p>(5.021e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.83</p> |
| <p> </p> |
| <p>(1.176e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.155e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi |
| Squared Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.930e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.72</p> |
| <p> </p> |
| <p>(5.243e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.73</p> |
| <p> </p> |
| <p>(1.106e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.798e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.89</p> |
| <p> </p> |
| <p>(2.236e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.41</p> |
| <p> </p> |
| <p>(9.006e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.380e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher |
| F Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(9.556e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.34</p> |
| <p> </p> |
| <p>(1.283e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.24</p> |
| <p> </p> |
| <p>(1.183e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher |
| F Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.987e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.33</p> |
| <p> </p> |
| <p>(9.325e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.16</p> |
| <p> </p> |
| <p>(2.205e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.52</p> |
| <p> </p> |
| <p>(6.240e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.11</p> |
| <p> </p> |
| <p>(1.279e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.111e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.24</p> |
| <p> </p> |
| <p>(2.179e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>6.25</p> |
| <p> </p> |
| <p>(1.102e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.764e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution">Hypergeometric |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.60<sup>[<a name="id1279161" href="#ftn.id1279161" class="footnote">2</a>]</sup></p> |
| <p> </p> |
| <p>(5.987e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.665e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution">Hypergeometric |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.684e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.53</p> |
| <p> </p> |
| <p>(2.004e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution">Logistic |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.714e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.24</p> |
| <p> </p> |
| <p>(8.984e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution">Logistic |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.02</p> |
| <p> </p> |
| <p>(2.084e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.043e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.579e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.49</p> |
| <p> </p> |
| <p>(5.332e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(9.622e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.57</p> |
| <p> </p> |
| <p>(1.507e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative |
| Binomial Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.227e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.25</p> |
| <p> </p> |
| <p>(1.403e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.21</p> |
| <p> </p> |
| <p>(1.378e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative |
| Binomial Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.594e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>43.43<sup>[<a name="id1279573" href="#ftn.id1279573" class="footnote">3</a>]</sup></p> |
| <p> </p> |
| <p>(3.732e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.48</p> |
| <p> </p> |
| <p>(2.994e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral |
| Chi Squared Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.16</p> |
| <p> </p> |
| <p>(3.926e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>79.93</p> |
| <p> </p> |
| <p>(1.450e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.814e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral |
| Chi Squared Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.00</p> |
| <p> </p> |
| <p>(3.393e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>393.90<sup>[<a name="id1279699" href="#ftn.id1279699" class="footnote">4</a>]</sup></p> |
| <p> </p> |
| <p>(2.673e-002s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.786e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution">Noncentral |
| F Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.59</p> |
| <p> </p> |
| <p>(1.128e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(7.087e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.274e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution">Noncentral |
| F Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.750e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.62</p> |
| <p> </p> |
| <p>(7.681e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.274e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution">noncentral |
| T distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.41</p> |
| <p> </p> |
| <p>(1.852e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.436e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution">noncentral |
| T distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.31</p> |
| <p> </p> |
| <p>(5.768e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1279950" href="#ftn.id1279950" class="footnote">5</a>]</sup></p> |
| <p> </p> |
| <p>(4.411e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.373e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.68</p> |
| <p> </p> |
| <p>(1.409e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>6.01</p> |
| <p> </p> |
| <p>(5.029e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.29</p> |
| <p> </p> |
| <p>(1.521e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.182e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>10.85</p> |
| <p> </p> |
| <p>(1.283e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.18</p> |
| <p> </p> |
| <p>(5.193e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.98</p> |
| <p> </p> |
| <p>(1.314e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.410e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson |
| Distribution</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.203e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.20</p> |
| <p> </p> |
| <p>(2.642e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>7.86</p> |
| <p> </p> |
| <p>(9.457e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students |
| t Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.655e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.06</p> |
| <p> </p> |
| <p>(9.166e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.04</p> |
| <p> </p> |
| <p>(8.999e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students |
| t Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.294e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.36</p> |
| <p> </p> |
| <p>(3.131e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.82</p> |
| <p> </p> |
| <p>(1.106e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.865e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.33</p> |
| <p> </p> |
| <p>(4.341e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.608e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.22</p> |
| <p> </p> |
| <p>(4.410e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| <tbody class="footnotes"><tr><td colspan="4"> |
| <div class="footnote"><p><sup>[<a name="ftn.id1278326" href="#id1278326" class="para">1</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1279161" href="#id1279161" class="para">2</a>] </sup> |
| This result is somewhat misleading: for small values of the parameters |
| there is virtually no difference between the two libraries, but |
| for large values the Boost implementation is <span class="emphasis"><em>much</em></span> |
| slower, albeit with much improved precision. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1279573" href="#id1279573" class="para">3</a>] </sup> |
| The R library appears to use a linear-search strategy, that can |
| perform very badly in a small number of pathological cases, but |
| may or may not be more efficient in "typical" cases |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1279699" href="#id1279699" class="para">4</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1279950" href="#id1279950" class="para">5</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| </td></tr></tbody> |
| </table></div> |
| </div> |
| <br class="table-break"><a name="math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux"></a><h5> |
| <a name="id1280454"></a> |
| <a class="link" href="comparisons.html#math_toolkit.perf.comparisons.comparison_to_the_r_statistical_library_on_linux">Comparison |
| to the R Statistical Library on Linux</a> |
| </h5> |
| <p> |
| All the results were measured on a 2.0GHz Intel T5800 Core 2 Duo, 4Gb RAM, |
| Ubuntu Linux 9 machine, with the test program and R-2.9.2 compiled with GNU |
| G++ 4.3.3 using -O3 -DNDEBUG=1. |
| </p> |
| <div class="table"> |
| <a name="math_toolkit.perf.comparisons.a_comparison_to_the_r_statistical_library_on_linux"></a><p class="title"><b>Table 52. A Comparison to the R Statistical Library on Linux</b></p> |
| <div class="table-contents"><table class="table" summary="A Comparison to the R Statistical Library on Linux"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Statistical Function |
| </p> |
| </th> |
| <th> |
| <p> |
| Boost |
| </p> |
| </th> |
| <th> |
| <p> |
| R |
| </p> |
| </th> |
| <th> |
| <p> |
| DCDFLIB |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.09</p> |
| <p> </p> |
| <p>(3.189e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.526e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.19</p> |
| <p> </p> |
| <p>(1.822e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">Beta |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.185e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>30.51<sup>[<a name="id1280619" href="#ftn.id1280619" class="footnote">1</a>]</sup></p> |
| <p> </p> |
| <p>(3.616e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.52</p> |
| <p> </p> |
| <p>(2.989e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.41</p> |
| <p> </p> |
| <p>(9.175e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.59</p> |
| <p> </p> |
| <p>(7.476e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.081e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.57</p> |
| <p> </p> |
| <p>(6.925e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.407e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>7.43</p> |
| <p> </p> |
| <p>(3.274e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.594e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.04</p> |
| <p> </p> |
| <p>(1.654e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.21</p> |
| <p> </p> |
| <p>(1.752e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.448e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi |
| Squared Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.61</p> |
| <p> </p> |
| <p>(1.376e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.36</p> |
| <p> </p> |
| <p>(1.243e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.270e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/chi_squared_dist.html" title="Chi Squared Distribution">Chi |
| Squared Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.252e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.34</p> |
| <p> </p> |
| <p>(5.700e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.47</p> |
| <p> </p> |
| <p>(1.477e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.342e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.25</p> |
| <p> </p> |
| <p>(1.677e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/exp_dist.html" title="Exponential Distribution">Exponential |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.827e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.07</p> |
| <p> </p> |
| <p>(9.470e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher |
| F Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.62</p> |
| <p> </p> |
| <p>(2.324e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.19</p> |
| <p> </p> |
| <p>(1.711e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.437e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/f_dist.html" title="F Distribution">Fisher |
| F Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.53</p> |
| <p> </p> |
| <p>(1.577e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.033e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.63</p> |
| <p> </p> |
| <p>(2.719e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.18</p> |
| <p> </p> |
| <p>(1.582e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.63</p> |
| <p> </p> |
| <p>(1.309e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.980e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.19</p> |
| <p> </p> |
| <p>(4.770e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>6.94</p> |
| <p> </p> |
| <p>(1.513e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.179e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution">Hypergeometric |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.20<sup>[<a name="id1281376" href="#ftn.id1281376" class="footnote">2</a>]</sup></p> |
| <p> </p> |
| <p>(3.522e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.601e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/hypergeometric_dist.html" title="Hypergeometric Distribution">Hypergeometric |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(8.279e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.57</p> |
| <p> </p> |
| <p>(2.125e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution">Logistic |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(9.398e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.75</p> |
| <p> </p> |
| <p>(2.588e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution">Logistic |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(9.893e-008s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.30</p> |
| <p> </p> |
| <p>(1.285e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.831e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.39</p> |
| <p> </p> |
| <p>(2.539e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution">Log-normal |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.10</p> |
| <p> </p> |
| <p>(5.551e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.037e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative |
| Binomial Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.08</p> |
| <p> </p> |
| <p>(1.563e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.444e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.444e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative |
| Binomial Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.700e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>25.92<sup>[<a name="id1281790" href="#ftn.id1281790" class="footnote">3</a>]</sup></p> |
| <p> </p> |
| <p>(4.407e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.93</p> |
| <p> </p> |
| <p>(3.274e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral |
| Chi Squared Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.06</p> |
| <p> </p> |
| <p>(2.841e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>25.01</p> |
| <p> </p> |
| <p>(1.405e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.617e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral |
| Chi Squared Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>8.47</p> |
| <p> </p> |
| <p>(1.879e-003s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>144.91<sup>[<a name="id1281916" href="#ftn.id1281916" class="footnote">4</a>]</sup></p> |
| <p> </p> |
| <p>(3.214e-002s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.218e-004s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution">Noncentral |
| F Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>10.33</p> |
| <p> </p> |
| <p>(5.868e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.42</p> |
| <p> </p> |
| <p>(8.058e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(5.682e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_f_dist.html" title="Noncentral F Distribution">Noncentral |
| F Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.64</p> |
| <p> </p> |
| <p>(7.869e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>6.63</p> |
| <p> </p> |
| <p>(9.256e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.396e-004s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution">noncentral |
| T distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.91</p> |
| <p> </p> |
| <p>(3.357e-005s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(6.844e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/nc_t_dist.html" title="Noncentral T Distribution">noncentral |
| T distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.57</p> |
| <p> </p> |
| <p>(9.265e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span><sup>[<a name="id1282162" href="#ftn.id1282162" class="footnote">5</a>]</sup></p> |
| <p> </p> |
| <p>(5.916e-004s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.074e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.16</p> |
| <p> </p> |
| <p>(1.245e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>5.36</p> |
| <p> </p> |
| <p>(5.762e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.28</p> |
| <p> </p> |
| <p>(1.902e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(1.490e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>10.35</p> |
| <p> </p> |
| <p>(1.542e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.43</p> |
| <p> </p> |
| <p>(1.198e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.25</p> |
| <p> </p> |
| <p>(1.110e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.937e-007s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/poisson_dist.html" title="Poisson Distribution">Poisson |
| Distribution</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.11</p> |
| <p> </p> |
| <p>(3.032e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(2.724e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>4.07</p> |
| <p> </p> |
| <p>(1.110e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students |
| t Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>2.17</p> |
| <p> </p> |
| <p>(2.020e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(9.321e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.10</p> |
| <p> </p> |
| <p>(1.021e-006s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students |
| t Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.18</p> |
| <p> </p> |
| <p>(3.972e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.364e-006s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>3.89</p> |
| <p> </p> |
| <p>(1.308e-005s)</p> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull |
| Distribution</a> CDF |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(3.662e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.04</p> |
| <p> </p> |
| <p>(3.808e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <a class="link" href="../dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull |
| Distribution</a> Quantile |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p><span class="bold"><strong>1.00</strong></span></p> |
| <p> </p> |
| <p>(4.112e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| <p>1.05</p> |
| <p> </p> |
| <p>(4.317e-007s)</p> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| NA |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| <tbody class="footnotes"><tr><td colspan="4"> |
| <div class="footnote"><p><sup>[<a name="ftn.id1280619" href="#id1280619" class="para">1</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1281376" href="#id1281376" class="para">2</a>] </sup> |
| This result is somewhat misleading: for small values of the parameters |
| there is virtually no difference between the two libraries, but |
| for large values the Boost implementation is <span class="emphasis"><em>much</em></span> |
| slower, albeit with much improved precision. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1281790" href="#id1281790" class="para">3</a>] </sup> |
| The R library appears to use a linear-search strategy, that can |
| perform very badly in a small number of pathological cases, but |
| may or may not be more efficient in "typical" cases |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1281916" href="#id1281916" class="para">4</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| <div class="footnote"><p><sup>[<a name="ftn.id1282162" href="#id1282162" class="para">5</a>] </sup> |
| There are a small number of our test cases where the R library |
| fails to converge on a result: these tend to dominate the performance |
| result. |
| </p></div> |
| </td></tr></tbody> |
| </table></div> |
| </div> |
| <br class="table-break"> |
| </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 © 2006 , 2007, 2008, 2009, 2010 John Maddock, Paul A. Bristow, |
| Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and |
| Thijs van den Berg<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> |
| <hr> |
| <div class="spirit-nav"> |
| <a accesskey="p" href="tuning.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> |
| </div> |
| </body> |
| </html> |
