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<div><h2 class="title">
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<a name="special_function_and_distributio"></a>Special Function and Distribution Performance Report</h2></div>
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<div><div class="legalnotice">
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<a name="special_function_and_distributio.legal"></a><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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<div class="toc">
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<p><b>Table of Contents</b></p>
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<dl>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64">Compiler
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Comparison on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_linux">Compiler
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Comparison on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64">Compiler
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Option Comparison on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Clang_version_3_7_0_trunk_236512_on_linux">Distribution
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performance comparison with Clang version 3.7.0 (trunk 236512) on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_4_9_2_on_Windows_x64">Distribution
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performance comparison with GNU C++ version 4.9.2 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux">Distribution
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performance comparison with GNU C++ version 5.1.0 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64">Distribution
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performance comparison with Intel C++ C++0x mode version 1500 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux">Distribution
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performance comparison with Intel C++ C++0x mode version 1500 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Distribution
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performance comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_3_7_0_trunk_236512_on_linux">Distribution
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performance comparison for different performance options with Clang version 3.7.0
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(trunk 236512) on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_4_9_2_on_Windows_x64">Distribution
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performance comparison for different performance options with GNU C++ version
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4.9.2 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_1_0_on_linux">Distribution
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performance comparison for different performance options with GNU C++ version
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5.1.0 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64">Distribution
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performance comparison for different performance options with Intel C++ C++0x
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mode version 1500 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_linux">Distribution
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performance comparison for different performance options with Intel C++ C++0x
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mode version 1500 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Distribution
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performance comparison for different performance options with Microsoft Visual
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C++ version 14.0 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux">Library
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Comparison with Clang version 3.7.0 (trunk 236512) on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64">Library
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Comparison with GNU C++ version 4.9.2 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_1_0_on_linux">Library
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Comparison with GNU C++ version 5.1.0 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64">Library
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Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux">Library
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Comparison with Intel C++ C++0x mode version 1500 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Library
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Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux">Polynomial
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Method Comparison with Clang version 3.7.0 (trunk 236512) on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64">Polynomial
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Method Comparison with GNU C++ version 4.9.2 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_1_0_on_linux">Polynomial
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Method Comparison with GNU C++ version 5.1.0 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64">Polynomial
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Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux">Polynomial
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Method Comparison with Intel C++ C++0x mode version 1500 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Polynomial
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Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux">Rational
|
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Method Comparison with Clang version 3.7.0 (trunk 236512) on linux</a></span></dt>
|
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64">Rational
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Method Comparison with GNU C++ version 4.9.2 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_1_0_on_linux">Rational
|
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Method Comparison with GNU C++ version 5.1.0 on linux</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64">Rational
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Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a></span></dt>
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux">Rational
|
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Method Comparison with Intel C++ C++0x mode version 1500 on linux</a></span></dt>
|
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<dt><span class="section"><a href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64">Rational
|
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Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a></span></dt>
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</dl>
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</div>
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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="special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64" title="Compiler Comparison on Windows x64">Compiler
|
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Comparison on Windows x64</a>
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</h2></div></div></div>
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<div class="table">
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<a name="special_function_and_distributio.section_Compiler_Comparison_on_Windows_x64.table_Compiler_Comparison_on_Windows_x64"></a><p class="title"><b>Table 1. Compiler Comparison on Windows x64</b></p>
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<div class="table-contents"><table class="table" summary="Compiler Comparison on Windows 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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<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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Microsoft Visual C++ version 14.0<br> boost 1.59
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</p>
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</th>
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<th>
|
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<p>
|
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Intel C++ C++0x mode version 1500<br> boost 1.59
|
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</p>
|
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</th>
|
|
<th>
|
|
<p>
|
|
GNU C++ version 4.9.2<br> boost 1.59
|
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</p>
|
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</th>
|
|
<th>
|
|
<p>
|
|
GNU C++ version 4.9.2<br> boost 1.59<br> promote_double<false>
|
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</p>
|
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</th>
|
|
</tr></thead>
|
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<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.64<br> (400ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (221ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta (incomplete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.42<br> (1259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (640ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.86<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.43<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.29<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (402ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (360ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.90<br> (1045ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (444ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.29<br> (652ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (544ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (395ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (754ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (641ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.67<br> (6841ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (730ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.84<br> (3600ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (379ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">17.34<br> (11495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.24<br> (10105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (1384ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (663ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (328ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (270ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (547ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
digamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.76<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (389ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (554ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.35<br> (681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (480ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (1279ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (602ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.04<br> (1828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (982ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (691ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.21<br> (1122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (577ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rc
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.66<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rd
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (318ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (262ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rf
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rj
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (352ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (461ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.36<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.36<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.24<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.18<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint (En)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.75<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.78<br> (414ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (254ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (659ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (524ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (1212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (989ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.78<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (229ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (689ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (507ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (1208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (1000ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (408ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.13<br> (1276ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (701ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (1866ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (4120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (2520ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (599ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (397ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.27<br> (1297ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (698ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (1985ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1576ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.66<br> (4198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (2666ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_cn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.67<br> (543ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (318ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_dn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.19<br> (581ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (335ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_sn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (202ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (488ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (279ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (380ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (410ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (330ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre Q
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (415ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (512ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (437ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.46<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
polygamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (3952ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3443ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (3848ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (7699ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (1002ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (852ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (1372ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (966ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (1910ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (3557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (1746ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma (incomplete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (219ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (553ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (396ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
trigamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.88<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.93<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.60<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Compiler_Comparison_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Comparison_on_linux" title="Compiler Comparison on linux">Compiler
|
|
Comparison on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Compiler_Comparison_on_linux.table_Compiler_Comparison_on_linux"></a><p class="title"><b>Table 2. Compiler Comparison on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Compiler Comparison on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GNU C++ version 5.1.0<br> boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GNU C++ version 5.1.0<br> boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Intel C++ C++0x mode version 1500<br> boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Intel C++ C++0x mode version 1500<br> boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Clang version 3.7.0 (trunk 236512)<br> boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Clang version 3.7.0 (trunk 236512)<br> boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (253ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.62<br> (698ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.99<br> (485ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.21<br> (746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta (incomplete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.74<br> (1746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (555ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.36<br> (1235ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.97<br> (1828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (554ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.81<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.41<br> (1354ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.72<br> (1142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (307ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.76<br> (1461ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (394ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.62<br> (752ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.38<br> (702ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.13<br> (859ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.26<br> (1029ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (382ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.94<br> (930ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.55<br> (1123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (420ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.49<br> (258ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.80<br> (281ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.29<br> (4416ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.21<br> (4370ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (606ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.96<br> (4826ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (741ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.29<br> (3456ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (336ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.07<br> (3721ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.39<br> (5170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.90<br> (1418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (574ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (1338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (489ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.51<br> (1714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (594ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (532ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (258ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (713ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (269ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
digamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (349ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (172ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.26<br> (732ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (779ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (936ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.79<br> (1359ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (329ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.42<br> (2031ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (748ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.40<br> (2016ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (593ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.84<br> (2873ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.21<br> (1131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (455ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.07<br> (1080ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (352ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.12<br> (1452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rc
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.34<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rd
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (488ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.72<br> (703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rf
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rj
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.03<br> (460ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.95<br> (448ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.89<br> (591ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.77<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.77<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.87<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint (En)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.13<br> (454ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.54<br> (369ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.26<br> (473ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (1497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (684ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (1100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.13<br> (1506ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (678ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.43<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.66<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (468ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.93<br> (1756ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (683ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.85<br> (1016ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (356ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.87<br> (1734ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (691ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.52<br> (1641ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (584ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (1208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (363ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.75<br> (1725ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.57<br> (5230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (2093ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (4275ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1465ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.82<br> (5597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (2098ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.62<br> (1650ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (586ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (1177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.83<br> (1724ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.58<br> (5308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (2141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (4329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.85<br> (5703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (2106ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_cn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.73<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.76<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.85<br> (481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_dn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.46<br> (457ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.58<br> (472ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_sn
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.75<br> (465ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.84<br> (476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (450ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (358ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre Q
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (384ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (457ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (396ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.70<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.76<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.95<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
polygamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.22<br> (2791ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.64<br> (722ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.34<br> (1459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (273ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.25<br> (2798ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.65<br> (723ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (1520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (883ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (1413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (838ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (1605ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (880ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (3368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (1575ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (3514ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (3772ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (1620ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.28<br> (333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.68<br> (354ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma (incomplete)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.34<br> (691ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.51<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (289ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
trigamma
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.35<br> (492ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.11<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64" title="Compiler Option Comparison on Windows x64">Compiler
|
|
Option Comparison on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Compiler_Option_Comparison_on_Windows_x64.table_Compiler_Option_Comparison_on_Windows_x64"></a><p class="title"><b>Table 3. Compiler Option Comparison on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Compiler Option Comparison on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
cl /Od (x86 build)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
cl /Ox (x64 build)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
cl /arch:sse2 /Ox (x86 build)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
icl /Ox (x64 build)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
boost::math::cbrt
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">21.80<br> (327ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.13<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
boost::math::cyl_bessel_j (integer orders)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.87<br> (1040ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
boost::math::ibeta_inv
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.76<br> (7597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (1963ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (2364ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1596ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Clang_version_3_7_0_trunk_236512_on_linux" title="Distribution performance comparison with Clang version 3.7.0 (trunk 236512) on linux">Distribution
|
|
performance comparison with Clang version 3.7.0 (trunk 236512) on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Clang_version_3_7_0_trunk_236512_on_linux.table_Distribution_performance_comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><p class="title"><b>Table 4. Distribution performance comparison with Clang version 3.7.0 (trunk
|
|
236512) on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with Clang version 3.7.0 (trunk
|
|
236512) on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (451ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (482ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (289ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.45<br> (423ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.38<br> (382ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (236ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.63<br> (2845ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1083ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.26<br> (15440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">16.12<br> (17458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.01<br> (8679ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (1239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (620ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (892ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (749ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (776ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.89<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.75<br> (5472ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (2957ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1988ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.95<br> (11830ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">52.25<br> (2508ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">52.19<br> (2505ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (237ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">18.16<br> (3869ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.93<br> (436ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (1269ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (668ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">53.46<br> (35709ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.43<br> (1620ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.55<br> (5045ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (1094ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (564ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (900ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (605ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (615ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (437ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (3049ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1516ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.74<br> (14768ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (2996ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.85<br> (8871ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (573ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.66<br> (1478ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.43<br> (539ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (1803ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (804ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.09<br> (11325ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (1756ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (827ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.12<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.42<br> (10576ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.39<br> (5915ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (1505ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (926ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">23.08<br> (10156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">12.95<br> (5696ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52169ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (83543ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (83406ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (483ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (236ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.22<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (1264ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (671ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.36<br> (535ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (1758ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (787ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2023ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2014ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (1878ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (986ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (1282ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (866ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (810ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.97<br> (424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (9579ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4894ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.37<br> (16469ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.08<br> (15093ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (2634ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (1509ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (2051ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (1113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (929ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (62703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31380ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.60<br> (81445ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.41<br> (6934ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.37<br> (4240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.70<br> (10459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (666ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.01<br> (1305ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (919ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (434ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.52<br> (51061ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (25208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">36.03<br> (523301ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14523ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (2648ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (1470ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1260ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (1447ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.59<br> (2213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (1068ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (856ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (40513ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (20779ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.90<br> (66620ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17083ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.03<br> (9603ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.19<br> (6088ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1911ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (3481ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (7271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (4553ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3885ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (101058ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (58418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (86924ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50591ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.44<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.00<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">17.00<br> (544ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (245ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.88<br> (711ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (266ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.88<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (1104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (562ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (642ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.06<br> (2841ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (463ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (3605ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.77<br> (1483ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (425ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (346ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (433ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.55<br> (710ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (2526ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (759ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (1090ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (916ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.68<br> (3551ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_4_9_2_on_Windows_x64" title="Distribution performance comparison with GNU C++ version 4.9.2 on Windows x64">Distribution
|
|
performance comparison with GNU C++ version 4.9.2 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_4_9_2_on_Windows_x64.table_Distribution_performance_comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><p class="title"><b>Table 5. Distribution performance comparison with GNU C++ version 4.9.2 on Windows
|
|
x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with GNU C++ version 4.9.2 on Windows
|
|
x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (356ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (411ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.17<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (2145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.35<br> (9266ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (1079ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (631ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (755ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (343ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (5291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2995ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.04<br> (12113ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (491ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (274ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (1151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (802ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.80<br> (4654ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (914ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (538ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (628ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (2564ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1514ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.96<br> (9023ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (230ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (300ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (1311ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (932ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (699ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (10685ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (10291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5516ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54303ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (92492ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (1099ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (741ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (446ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (282ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (1316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (926ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1877ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (1894ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (1572ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (935ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (800ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (7940ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4708ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.27<br> (15377ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (2117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1346ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (1682ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1073ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (46820ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29517ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.13<br> (6393ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.57<br> (4147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (631ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (965ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (647ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.28<br> (45376ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (24982ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13823ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (1979ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (1486ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (1571ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (977ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (29812ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (17689ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17554ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.30<br> (8204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (5385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3562ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (6298ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (87002ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (52526ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.91<br> (525ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (973ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (613ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.38<br> (2683ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (388ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (373ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (3462ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (768ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (451ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (1386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (792ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.52<br> (3581ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux" title="Distribution performance comparison with GNU C++ version 5.1.0 on linux">Distribution
|
|
performance comparison with GNU C++ version 5.1.0 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux.table_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux"></a><p class="title"><b>Table 6. Distribution performance comparison with GNU C++ version 5.1.0 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with GNU C++ version 5.1.0 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (477ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (288ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (422ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (327ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (235ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.40<br> (2643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.76<br> (15155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">16.19<br> (17830ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.69<br> (8471ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (1042ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (870ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (768ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (180ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (4706ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (2818ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1987ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.89<br> (11709ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">56.63<br> (2435ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">58.33<br> (2508ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.17<br> (495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">16.71<br> (3811ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (287ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.04<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (1299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (692ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">50.92<br> (35239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (1562ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.66<br> (5304ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (545ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (887ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (603ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (608ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (378ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (2753ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1471ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.77<br> (14370ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (2983ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.99<br> (8807ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.43<br> (570ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.24<br> (1466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (340ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (235ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.90<br> (452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (1787ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (817ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.08<br> (11500ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (1729ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (843ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.53<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.16<br> (10644ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.25<br> (5961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (1476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (954ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">23.39<br> (10316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.05<br> (5756ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (441ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50508ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (85415ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (84488ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (327ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (1281ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (693ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (1750ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1969ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (1981ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (1640ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (955ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (1266ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (862ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (817ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (358ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (8427ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.41<br> (16439ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.20<br> (15423ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (2451ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (1333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1875ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (1087ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (923ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (58621ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27810ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (81077ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.14<br> (6804ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.32<br> (4244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.64<br> (10494ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (671ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (1114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (651ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (48267ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (24784ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">35.38<br> (517836ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14638ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (2371ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1262ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (1418ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (1949ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (1018ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (858ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (35608ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (18535ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.98<br> (66459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16718ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.96<br> (9265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.06<br> (5710ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1868ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (3378ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (6920ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (4612ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3853ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (95714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (53580ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (86576ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49862ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.16<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">17.03<br> (545ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.10<br> (701ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (267ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (1053ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (536ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (639ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.65<br> (3030ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (438ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (3470ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.62<br> (1415ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (445ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (252ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (437ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.16<br> (655ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.12<br> (2409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (773ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (1073ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (924ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.45<br> (3442ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64" title="Distribution performance comparison with Intel C++ C++0x mode version 1500 on Windows x64">Distribution
|
|
performance comparison with Intel C++ C++0x mode version 1500 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64.table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><p class="title"><b>Table 7. Distribution performance comparison with Intel C++ C++0x mode version
|
|
1500 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with Intel C++ C++0x mode version
|
|
1500 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (329ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (823ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.52<br> (6189ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (602ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (656ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.77<br> (10235ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.67<br> (3717ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (561ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (518ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1229ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.23<br> (7653ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (199ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (677ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (519ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6094ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5904ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41294ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (586ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (791ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (981ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (705ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4871ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (13572ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1072ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24745ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.93<br> (3985ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (446ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (22610ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10034ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (1288ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1026ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (995ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (17859ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12074ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (5388ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3155ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (50277ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43216ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.79<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.34<br> (323ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (467ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.48<br> (2092ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (351ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (283ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (642ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.74<br> (2403ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux" title="Distribution performance comparison with Intel C++ C++0x mode version 1500 on linux">Distribution
|
|
performance comparison with Intel C++ C++0x mode version 1500 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux.table_Distribution_performance_comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table 8. Distribution performance comparison with Intel C++ C++0x mode version
|
|
1500 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with Intel C++ C++0x mode version
|
|
1500 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (367ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (289ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.61<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (2035ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (797ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.95<br> (11914ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.10<br> (11240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.28<br> (5806ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (1104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (589ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (841ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (683ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (643ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.46<br> (405ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.64<br> (4935ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (2681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1872ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.27<br> (9869ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.01<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">26.06<br> (3961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (256ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.16<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (1139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (582ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">61.60<br> (35851ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (1270ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.00<br> (3494ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (1036ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (835ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (560ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (518ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.26<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (2648ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.06<br> (12685ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (2553ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.84<br> (7361ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.22<br> (515ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.26<br> (1482ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (351ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.76<br> (1391ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (653ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">21.19<br> (10680ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.99<br> (1509ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (504ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.45<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.44<br> (13355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.87<br> (6809ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (1334ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (865ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">31.64<br> (11896ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">16.11<br> (6057ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (376ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38561ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (42341ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (70828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (475ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.03<br> (291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (1128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (582ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.82<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (1345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (731ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1548ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1544ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (1723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (1196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (825ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (692ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.74<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (9047ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.34<br> (15808ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.72<br> (12876ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.34<br> (2345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (1218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1002ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.35<br> (2017ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (1024ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (860ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (51058ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25406ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.73<br> (69431ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.61<br> (6805ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.08<br> (3958ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">22.54<br> (9826ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (436ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.60<br> (1067ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (636ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (411ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.14<br> (49167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (22715ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">50.96<br> (487505ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9566ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (2229ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (1165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (1152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1001ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.36<br> (1856ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (928ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (786ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.91<br> (34381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (16913ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.97<br> (58816ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11830ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.23<br> (8969ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (5329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1716ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (3020ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (6968ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (4185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3545ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (95681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (50205ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (80603ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41770ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.70<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.96<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.63<br> (314ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.00<br> (700ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.09<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (1027ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (581ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.39<br> (2090ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (375ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (3063ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2590ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.94<br> (910ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (273ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (285ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.72<br> (409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (1460ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (580ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (859ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (750ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.08<br> (2368ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Distribution performance comparison with Microsoft Visual C++ version 14.0 on Windows x64">Distribution
|
|
performance comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Distribution_performance_comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 9. Distribution performance comparison with Microsoft Visual C++ version
|
|
14.0 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison with Microsoft Visual C++ version
|
|
14.0 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
DCDFLIB
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (412ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1051ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.79<br> (8187ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (676ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (845ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.25<br> (13307ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (266ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (707ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.35<br> (5195ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (612ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (661ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.92<br> (9860ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (815ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (741ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6526ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (765ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (1078ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (867ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5530ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (17192ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28670ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.18<br> (4583ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (560ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (601ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (26962ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13658ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1364ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (1547ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1093ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (19891ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18667ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (5905ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3665ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (4548ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (55584ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54088ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.10<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.26<br> (428ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (595ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.62<br> (2748ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (224ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2012ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (405ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (822ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.18<br> (3438ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_3_7_0_trunk_236512_on_linux" title="Distribution performance comparison for different performance options with Clang version 3.7.0 (trunk 236512) on linux">Distribution
|
|
performance comparison for different performance options with Clang version 3.7.0
|
|
(trunk 236512) on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_3_7_0_trunk_236512_on_linux.table_Distribution_performance_comparison_for_different_performance_options_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><p class="title"><b>Table 10. Distribution performance comparison for different performance options
|
|
with Clang version 3.7.0 (trunk 236512) on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with Clang version 3.7.0 (trunk 236512) on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (451ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (382ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.93<br> (2845ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (1083ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (850ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (723ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.47<br> (1239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (620ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (474ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (277ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.95<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.89<br> (5472ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (2957ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (2276ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1407ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.14<br> (497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (237ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.64<br> (436ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.78<br> (1269ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (668ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (500ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (336ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.38<br> (1094ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (564ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (436ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (250ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.19<br> (437ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (3049ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (1516ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (1302ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1041ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.67<br> (573ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.61<br> (539ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.07<br> (1803ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (804ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (443ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (10576ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5915ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5911ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (5949ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (10156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5696ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5689ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (6011ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52169ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (83543ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (84150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (103704ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.31<br> (483ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (236ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (183ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.32<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.66<br> (1264ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (671ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (517ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.43<br> (559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.57<br> (535ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.73<br> (1758ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (787ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (532ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (471ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.45<br> (2023ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.44<br> (2014ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (1865ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (827ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.84<br> (1878ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.54<br> (986ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (733ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (388ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.97<br> (424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.82<br> (9579ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (4894ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (3870ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3398ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.63<br> (2634ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (1509ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (1240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.09<br> (2051ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (1113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (933ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (502ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.29<br> (62703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.65<br> (31380ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (24461ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11855ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.16<br> (6934ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (4240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (3404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1665ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (1305ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (919ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (824ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (500ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.20<br> (51061ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.56<br> (25208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (16825ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7087ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.56<br> (2648ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (1470ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (1222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (744ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.85<br> (2213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (1068ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (934ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (575ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.33<br> (40513ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (20779ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (17663ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9347ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.04<br> (9603ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (6088ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (5014ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2378ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.07<br> (7271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (4553ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (3898ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1786ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.16<br> (101058ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (58418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (41310ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19571ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.22<br> (245ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.67<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.94<br> (1104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (562ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (501ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (375ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (463ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (427ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (3605ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (3212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (2284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1629ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.80<br> (1483ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (425ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (402ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.22<br> (710ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.07<br> (2526ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (759ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (740ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (498ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_4_9_2_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_4_9_2_on_Windows_x64" title="Distribution performance comparison for different performance options with GNU C++ version 4.9.2 on Windows x64">Distribution
|
|
performance comparison for different performance options with GNU C++ version
|
|
4.9.2 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_4_9_2_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_4_9_2_on_Windows_x64"></a><p class="title"><b>Table 11. Distribution performance comparison for different performance options
|
|
with GNU C++ version 4.9.2 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with GNU C++ version 4.9.2 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.46<br> (356ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (2145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (1261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (1075ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1010ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.79<br> (1079ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (631ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (505ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (285ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (343ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (5291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.17<br> (2995ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (2404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1380ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.40<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (491ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (274ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (246ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (1151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (802ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (585ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (498ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.94<br> (914ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (538ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (232ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (2564ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (1514ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (1332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1218ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (254ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (226ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (300ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1311ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (932ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (656ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (646ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (10685ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5713ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (5787ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (10291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5516ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5510ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (5790ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54303ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (92492ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (91809ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (114054ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.78<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (161ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.30<br> (1099ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (741ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (581ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (478ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (446ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (282ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (235ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (926ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (662ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (648ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (1877ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (1894ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (1709ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1239ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.52<br> (1572ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (935ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (704ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.40<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.50<br> (7940ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (4708ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (3692ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3180ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.16<br> (2117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (1346ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (1136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (669ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.35<br> (1682ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (1073ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (911ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (502ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.93<br> (46820ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (29517ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (24271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11903ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.94<br> (6393ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (4147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (3283ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1621ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (965ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (647ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (601ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (414ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.19<br> (45376ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.41<br> (24982ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (16550ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7329ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (1979ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (1201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (1008ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (594ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.99<br> (1571ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (977ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (851ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (525ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.74<br> (29812ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (17689ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (13960ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7976ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.76<br> (8204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (5385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (4459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2183ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.64<br> (6298ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.45<br> (4230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (3574ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1729ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.79<br> (87002ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.82<br> (51240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (36692ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18155ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (973ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (613ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (546ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (492ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (388ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (373ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (294ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (3462ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (3161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (2234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1832ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (768ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (378ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.00<br> (1386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (792ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (777ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (692ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_1_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_1_0_on_linux" title="Distribution performance comparison for different performance options with GNU C++ version 5.1.0 on linux">Distribution
|
|
performance comparison for different performance options with GNU C++ version
|
|
5.1.0 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_1_0_on_linux.table_Distribution_performance_comparison_for_different_performance_options_with_GNU_C_version_5_1_0_on_linux"></a><p class="title"><b>Table 12. Distribution performance comparison for different performance options
|
|
with GNU C++ version 5.1.0 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with GNU C++ version 5.1.0 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.23<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.77<br> (327ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.75<br> (2643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (1101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (882ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (704ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.15<br> (1042ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (471ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.55<br> (4706ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (2818ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (2261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1326ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.87<br> (495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (197ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.59<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.73<br> (1299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (692ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (521ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.18<br> (961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (545ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (427ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (230ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (378ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.77<br> (2753ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (1471ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (1295ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (993ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.61<br> (570ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.96<br> (452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.89<br> (1787ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (817ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (551ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (459ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (10644ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (5961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5922ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (6013ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (10316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (5756ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5658ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (6027ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50508ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (85415ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (85277ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (105261ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.36<br> (497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.52<br> (327ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.61<br> (1281ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (693ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (531ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.39<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (202ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.00<br> (452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.59<br> (1750ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (488ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (1969ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (1981ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (1814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (796ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.82<br> (1640ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.81<br> (955ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (719ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (340ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (358ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (8427ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (4814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (3748ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3073ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.97<br> (2451ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (1333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (1105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (617ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.93<br> (1875ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (1087ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (925ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (477ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.54<br> (58621ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.63<br> (27810ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (22395ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10589ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.21<br> (6804ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (4244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (3353ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1617ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (1114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (651ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (608ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (374ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.96<br> (48267ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.58<br> (24784ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (16702ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6931ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (2371ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (1078ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (619ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.69<br> (1949ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (1018ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (886ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (528ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.34<br> (35608ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (18535ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (16111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8210ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.52<br> (9265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (5710ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (4597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2050ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.20<br> (6920ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.80<br> (4612ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (3818ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1649ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.64<br> (95714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.16<br> (53580ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (38040ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16967ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.21<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.03<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.88<br> (1053ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (536ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (490ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (366ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (438ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (3470ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (3108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (2192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1588ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.77<br> (1415ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (445ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.46<br> (655ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.99<br> (2409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (773ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (757ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (483ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64" title="Distribution performance comparison for different performance options with Intel C++ C++0x mode version 1500 on Windows x64">Distribution
|
|
performance comparison for different performance options with Intel C++ C++0x
|
|
mode version 1500 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><p class="title"><b>Table 13. Distribution performance comparison for different performance options
|
|
with Intel C++ C++0x mode version 1500 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with Intel C++ C++0x mode version 1500 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (823ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (601ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (408ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.85<br> (602ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (2714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (2046ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1050ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (399ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (267ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.86<br> (561ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (1229ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (992ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (825ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (199ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (677ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (414ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6094ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6096ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (6383ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (5904ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5800ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (6145ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41294ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (42419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (51144ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (586ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (292ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (282ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (791ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (725ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (595ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (981ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (702ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (309ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (4871ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (3526ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2686ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (1243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (980ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (462ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.70<br> (1072ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (837ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (397ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.49<br> (24745ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (19034ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7094ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.94<br> (3985ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (3103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1354ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (282ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.03<br> (22610ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (15118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5610ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (1288ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (957ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (462ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.57<br> (995ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (771ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (387ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.87<br> (17859ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (12718ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6213ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (5388ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (4217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1848ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.83<br> (4174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (3313ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1475ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.42<br> (50277ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (34800ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14695ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (467ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (297ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (1407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (1130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (994ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (351ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (642ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (543ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_linux" title="Distribution performance comparison for different performance options with Intel C++ C++0x mode version 1500 on linux">Distribution
|
|
performance comparison for different performance options with Intel C++ C++0x
|
|
mode version 1500 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_linux.table_Distribution_performance_comparison_for_different_performance_options_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table 14. Distribution performance comparison for different performance options
|
|
with Intel C++ C++0x mode version 1500 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with Intel C++ C++0x mode version 1500 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.12<br> (367ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.96<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.71<br> (2035ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (797ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (623ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (432ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.53<br> (1104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (589ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (471ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (313ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.22<br> (405ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.29<br> (4935ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (2681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (2075ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1502ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.02<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.69<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.16<br> (1139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (582ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (274ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.57<br> (1036ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (423ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.49<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (2648ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (1261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1048ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (1206ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.40<br> (515ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.32<br> (351ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.75<br> (1391ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (653ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (425ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (13355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (6809ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6039ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (6114ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (11896ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (6057ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5918ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (6736ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38561ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (42341ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (44478ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (52479ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.75<br> (475ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.34<br> (291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.97<br> (1128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (582ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (428ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.91<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.57<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.59<br> (1345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (731ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (429ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (1548ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (1544ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (698ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.59<br> (1723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.00<br> (961ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (712ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (480ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.42<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (9047ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (4726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3590ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (3928ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.69<br> (2345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.44<br> (1218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (1004ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (500ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.94<br> (2017ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (1024ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (865ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (408ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.62<br> (51058ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.29<br> (25406ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (19108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7717ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.97<br> (6805ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.89<br> (3958ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (3116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1370ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.50<br> (1067ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (636ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (558ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (305ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.56<br> (49167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.96<br> (22715ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (15375ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5742ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.17<br> (2229ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (1165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (981ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (535ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.43<br> (1856ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (928ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (795ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.07<br> (34381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (16913ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (12880ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6787ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.45<br> (8969ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.64<br> (5329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (4322ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2017ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.63<br> (6968ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.78<br> (4185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (3478ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1504ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.17<br> (95681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.24<br> (50205ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.36<br> (36569ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15518ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.72<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.29<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.26<br> (1027ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (408ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (315ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (375ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (270ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (3063ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (2590ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (1899ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1338ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.97<br> (910ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (183ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.26<br> (409ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.75<br> (1460ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (580ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (556ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (389ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Distribution performance comparison for different performance options with Microsoft Visual C++ version 14.0 on Windows x64">Distribution
|
|
performance comparison for different performance options with Microsoft Visual
|
|
C++ version 14.0 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Distribution_performance_comparison_for_different_performance_options_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 15. Distribution performance comparison for different performance options
|
|
with Microsoft Visual C++ version 14.0 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Distribution performance comparison for different performance options
|
|
with Microsoft Visual C++ version 14.0 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> promote_double<false><br> digits10<10>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Boost<br> float<br> promote_float<false>
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ArcSine (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Beta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (1051ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (855ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (573ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (676ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (541ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (281ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Binomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (3128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (2542ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1389ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Cauchy (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (266ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (707ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (340ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Exponential (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ExtremeValue (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.40<br> (612ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (480ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
F (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (1424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (1249ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1067ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Gamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (815ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (550ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (384ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Geometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (6526ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (6487ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5988ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (6385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (6307ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6017ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Hypergeometric (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (34421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33560ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (38985ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (765ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (589ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGamma (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (575ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (383ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
InverseGaussian (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (1125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (1025ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (880ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Laplace (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
LogNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Logistic (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (1078ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (819ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (400ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NegativeBinomial (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (5530ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (4334ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (3403ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.78<br> (1424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (1196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (513ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (1178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (999ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (415ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralBeta (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.51<br> (28670ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.91<br> (23787ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8175ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (4583ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (3617ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1774ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (601ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (541ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (399ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralChiSquared (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.55<br> (26962ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (18148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (7597ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (1364ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (1162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (548ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (1093ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (947ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (433ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralF (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.86<br> (19891ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (15628ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (6960ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (5905ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (4804ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2336ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.54<br> (4548ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (3830ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1793ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
NonCentralT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.89<br> (55584ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (38848ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19201ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Normal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Pareto (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Poisson (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (595ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (529ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (368ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Rayleigh (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (224ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (226ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
SkewNormal (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (2012ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (1530ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1330ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (440ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (424ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
StudentsT (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (822ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (800ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (473ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (CDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (PDF)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.16<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Weibull (quantile)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux" title="Library Comparison with Clang version 3.7.0 (trunk 236512) on linux">Library
|
|
Comparison with Clang version 3.7.0 (trunk 236512) on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux.table_Library_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><p class="title"><b>Table 16. Library Comparison with Clang version 3.7.0 (trunk 236512) on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with Clang version 3.7.0 (trunk 236512) on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
tr1/cmath
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL 1.16
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre<br> (2240/2240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (219ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre<br> (205/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.62<br> (253ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.36<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta (incomplete)<br> (2682/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (1828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (554ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (751ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta<br> (2202/2202 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.07<br> (746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.63<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.81<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)<br> (494/526 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.29<br> (859ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (200ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (454ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.34<br> (1068ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i<br> (177/240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.45<br> (1461ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (394ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.77<br> (934ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.40<br> (1646ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (250/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (281ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (252ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.65<br> (254ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.39<br> (421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j<br> (423/451 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.03<br> (1123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (420ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (371ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (838ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (445ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)<br> (505/508 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">21.02<br> (5170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.74<br> (2641ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (246ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k<br> (96/279 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.51<br> (4826ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (741ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (759ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (846ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (810ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (423/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.65<br> (713ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (269ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.70<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (507ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.78<br> (1018ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (369ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann<br> (400/450 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.89<br> (1714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (594ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (753ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.35<br> (1398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (619ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
digamma<br> (1019/1019 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.91<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.60<br> (161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)<br> (109/109 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.15<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.37<br> (280ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1<br> (627/629 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.23<br> (732ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (344ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.65<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)<br> (109/110 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.88<br> (444ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">17.91<br> (573ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2<br> (527/530 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.13<br> (1359ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (721ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)<br> (500/500 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.25<br> (1452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (447ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (724ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (890ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3<br> (831/845 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.96<br> (2873ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (1051ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (1283ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rc<br> (201/201 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.15<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rd<br> (7588/7588 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (363ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rf<br> (7788/7788 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.11<br> (342ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rj<br> (7642/8032 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.21<br> (591ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.96<br> (2201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.85<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.84<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint (En)<br> (1059/1059 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.33<br> (667ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint<br> (436/436 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.82<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.06<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p<br> (1379/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (473ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.85<br> (911ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p_inv<br> (559/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (1506ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (678ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (1491ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q<br> (1371/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (468ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.87<br> (1086ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (319ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q_inv<br> (78/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (1734ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (691ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (791ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.62<br> (1725ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (477ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta_inv<br> (952/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.67<br> (5597ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2098ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">27.61<br> (57918ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.64<br> (1724ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (566ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (474ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac_inv<br> (945/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (5703ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">19.78<br> (41649ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_cn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.40<br> (481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_dn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.30<br> (472ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_sn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.23<br> (476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (171ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre<br> (280/280 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre Q<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (396ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (416ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (358ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (361ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (689ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.67<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.70<br> (262ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
polygamma<br> (823/1535 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.53<br> (2798ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.04<br> (2309ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (328ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel<br> (483/483 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (1605ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (880ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (1889ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (2364ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann<br> (284/284 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.73<br> (3772ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.75<br> (1620ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.59<br> (2848ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (432ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma (incomplete)<br> (1266/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (726ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (289ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.96<br> (855ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.85<br> (354ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
trigamma<br> (659/659 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">39.71<br> (834ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.62<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta<br> (448/448 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.67<br> (464ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">767.59<br> (133561ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64" title="Library Comparison with GNU C++ version 4.9.2 on Windows x64">Library
|
|
Comparison with GNU C++ version 4.9.2 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64.table_Library_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><p class="title"><b>Table 17. Library Comparison with GNU C++ version 4.9.2 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with GNU C++ version 4.9.2 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
tr1/cmath
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre<br> (2240/2240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre<br> (205/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta<br> (2202/2202 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (400ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (221ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)<br> (515/526 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.64<br> (652ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i<br> (215/240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.91<br> (1045ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (444ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (252/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.14<br> (295ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j<br> (431/451 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (406ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)<br> (505/508 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.50<br> (3600ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (379ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.34<br> (2783ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k<br> (187/279 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.37<br> (6841ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (730ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.25<br> (3103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (423/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.53<br> (547ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.39<br> (680ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann<br> (400/450 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (1384ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (663ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (745ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)<br> (109/109 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.69<br> (230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1<br> (627/629 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (389ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (449ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)<br> (110/110 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.64<br> (516ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2<br> (527/530 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (681ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (480ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (725ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)<br> (500/500 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (1122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (577ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (854ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3<br> (831/845 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (1828ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (982ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (1286ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint<br> (436/436 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.76<br> (233ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre<br> (280/280 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (410ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (330ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (392ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.19<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.46<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel<br> (483/483 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (1372ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (966ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (1815ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann<br> (284/284 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (3557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (2693ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.96<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta<br> (448/448 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">812.33<br> (187648ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_1_0_on_linux" title="Library Comparison with GNU C++ version 5.1.0 on linux">Library
|
|
Comparison with GNU C++ version 5.1.0 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_GNU_C_version_5_1_0_on_linux.table_Library_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><p class="title"><b>Table 18. Library Comparison with GNU C++ version 5.1.0 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with GNU C++ version 5.1.0 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
tr1/cmath
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL 1.16
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre<br> (2240/2240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre<br> (205/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.08<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta (incomplete)<br> (2682/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.15<br> (1746ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (555ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (764ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta<br> (2202/2202 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.72<br> (698ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (246ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)<br> (494/526 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.78<br> (752ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (199ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.30<br> (458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.36<br> (1067ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i<br> (177/240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.84<br> (1354ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.63<br> (917ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.34<br> (1652ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (250/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.66<br> (258ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.67<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.43<br> (430ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j<br> (423/451 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (1029ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (382ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (837ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (439ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)<br> (505/508 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.82<br> (3456ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (336ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.71<br> (2677ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (250ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k<br> (96/279 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.87<br> (4416ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (643ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (765ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (851ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (814ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (423/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (532ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (258ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (675ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (504ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.97<br> (1023ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (364ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann<br> (400/450 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (1418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (574ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (723ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (1364ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (608ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
digamma<br> (1019/1019 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.81<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.42<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)<br> (109/109 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.52<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.12<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1<br> (627/629 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (349ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (410ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (456ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)<br> (109/110 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">16.09<br> (515ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">18.31<br> (586ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2<br> (527/530 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.30<br> (779ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (631ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (714ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)<br> (500/500 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (1131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (455ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (823ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (904ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3<br> (831/845 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.72<br> (2031ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (748ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (1187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (1265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rc<br> (201/201 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.57<br> (210ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rd<br> (7588/7588 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.17<br> (488ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (360ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rf<br> (7788/7788 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.52<br> (342ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rj<br> (7642/8032 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (460ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.41<br> (2260ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.62<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.89<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint (En)<br> (1059/1059 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.86<br> (646ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint<br> (436/436 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.79<br> (197ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.12<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p<br> (1379/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.40<br> (454ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.90<br> (927ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (320ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p_inv<br> (559/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (1497ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (684ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (1507ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q<br> (1371/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.86<br> (1102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (335ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q_inv<br> (78/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.57<br> (1756ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (683ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (776ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (1641ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (584ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (477ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta_inv<br> (952/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.50<br> (5230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2093ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">27.89<br> (58371ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (1650ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (586ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (479ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac_inv<br> (945/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (5308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (2141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">19.56<br> (41869ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_cn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.30<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_dn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.13<br> (457ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_sn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.17<br> (465ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre<br> (280/280 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre Q<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (466ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (384ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (425ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (385ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (366ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (702ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.42<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.89<br> (265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
polygamma<br> (823/1535 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.64<br> (2791ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (722ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.29<br> (2355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (323ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel<br> (483/483 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (1520ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (883ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (1896ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (2419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann<br> (284/284 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.72<br> (3368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.61<br> (1575ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.33<br> (2758ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (436ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma (incomplete)<br> (1266/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.36<br> (691ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (873ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.44<br> (333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
trigamma<br> (659/659 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">44.53<br> (846ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">12.68<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta<br> (448/448 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.70<br> (492ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">737.18<br> (134167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (269ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64" title="Library Comparison with Intel C++ C++0x mode version 1500 on Windows x64">Library
|
|
Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64.table_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><p class="title"><b>Table 19. Library Comparison with Intel C++ C++0x mode version 1500 on Windows
|
|
x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with Intel C++ C++0x mode version 1500 on Windows
|
|
x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (268/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (428/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (270ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.45<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.59<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux" title="Library Comparison with Intel C++ C++0x mode version 1500 on linux">Library
|
|
Comparison with Intel C++ C++0x mode version 1500 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux.table_Library_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table 20. Library Comparison with Intel C++ C++0x mode version 1500 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with Intel C++ C++0x mode version 1500 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59<br> promote_double<false>
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
tr1/cmath
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
GSL 1.16
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Rmath 3.0.2
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_laguerre<br> (2240/2240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (219ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (210ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
assoc_legendre<br> (205/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.47<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.81<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.49<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta (incomplete)<br> (2682/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.36<br> (1235ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (368ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (578ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
beta<br> (2195/2202 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.99<br> (485ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.19<br> (258ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.70<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i (integer order)<br> (494/526 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.25<br> (702ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (414ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.64<br> (1095ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_i<br> (177/240 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.18<br> (1142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (307ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.65<br> (740ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.21<br> (1624ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (250/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.00<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.24<br> (240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.82<br> (431ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j<br> (423/451 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.94<br> (930ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (761ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k (integer order)<br> (505/508 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">15.97<br> (3721ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.12<br> (2592ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (233ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (344ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_k<br> (96/279 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.50<br> (4370ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (606ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (583ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (798ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (781ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (423/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (557ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.41<br> (652ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.59<br> (495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.37<br> (1026ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann<br> (400/450 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (1338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (489ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (674ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.81<br> (1375ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (612ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
digamma<br> (1019/1019 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.21<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.79<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.92<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1 (complete)<br> (109/109 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">10.76<br> (226ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">13.81<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_1<br> (627/629 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (172ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (346ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (449ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2 (complete)<br> (109/110 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">18.74<br> (506ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">21.33<br> (576ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_2<br> (527/530 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (936ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (567ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.57<br> (730ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3 (complete)<br> (500/500 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.07<br> (1080ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (352ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (731ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (900ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
<td>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_3<br> (831/845 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.40<br> (2016ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (593ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (1052ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (1301ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rc<br> (201/201 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.50<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rd<br> (7588/7588 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (407ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (366ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rf<br> (7788/7788 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.34<br> (342ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ellint_rj<br> (7642/8032 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.95<br> (448ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">14.51<br> (2206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">9.85<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.74<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.74<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.74<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint (En)<br> (1059/1059 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.86<br> (539ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expint<br> (436/436 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.03<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.13<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p<br> (1379/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.54<br> (369ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.21<br> (901ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_p_inv<br> (559/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.29<br> (1100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (1228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q<br> (1371/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.66<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.80<br> (1061ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (287ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
gamma_q_inv<br> (78/559 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.85<br> (1016ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (356ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (483ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.33<br> (1208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (363ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibeta_inv<br> (951/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (4275ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1465ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">26.47<br> (38780ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac<br> (3210/3210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.30<br> (1177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
ibetac_inv<br> (945/1210 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (4329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (1481ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">19.23<br> (28484ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_cn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_dn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.02<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
jacobi_sn<br> (2368/2757 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.47<br> (316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
laguerre<br> (280/280 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre Q<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (457ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (423ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
legendre<br> (300/300 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (450ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (366ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (693ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.87<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.62<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
polygamma<br> (823/1535 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.54<br> (1459ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (273ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (476ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_bessel<br> (483/483 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (1413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (838ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (1697ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.75<br> (2305ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
sph_neumann<br> (284/284 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.35<br> (3514ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.70<br> (1559ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.08<br> (2558ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (421ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma (incomplete)<br> (1266/1379 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (495ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.78<br> (783ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
trigamma<br> (659/659 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">41.55<br> (831ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">12.25<br> (245ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
zeta<br> (448/448 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">596.97<br> (67458ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Library Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Library
|
|
Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 21. Library Comparison with Microsoft Visual C++ version 14.0 on Windows
|
|
x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Library Comparison with Microsoft Visual C++ version 14.0 on Windows
|
|
x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
boost 1.59
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
math.h
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cbrt<br> (85/85 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_bessel_j (integer order)<br> (267/268 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
cyl_neumann (integer order)<br> (428/428 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (328ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erf<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (17ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
erfc<br> (950/950 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.60<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
expm1<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
lgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
log1p<br> (80/80 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
tgamma<br> (400/400 tests selected)
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">11.68<br> (1273ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux" title="Polynomial Method Comparison with Clang version 3.7.0 (trunk 236512) on linux">Polynomial
|
|
Method Comparison with Clang version 3.7.0 (trunk 236512) on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux.table_Polynomial_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><p class="title"><b>Table 22. Polynomial Method Comparison with Clang version 3.7.0 (trunk 236512)
|
|
on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Clang version 3.7.0 (trunk 236512)
|
|
on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.85<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.45<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.83<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.03<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.79<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.00<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.89<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.02<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.02<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.53<br> (320ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.63<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.96<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.06<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.70<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.64<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.91<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.47<br> (369ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.53<br> (201ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.12<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.52<br> (404ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.48<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.94<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.32<br> (417ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.44<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.85<br> (230ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.65<br> (452ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64" title="Polynomial Method Comparison with GNU C++ version 4.9.2 on Windows x64">Polynomial
|
|
Method Comparison with GNU C++ version 4.9.2 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64.table_Polynomial_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><p class="title"><b>Table 23. Polynomial Method Comparison with GNU C++ version 4.9.2 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with GNU C++ version 4.9.2 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.73<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.47<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.82<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.63<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (71ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.02<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.86<br> (163ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (66ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.74<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.82<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (249ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.90<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.68<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (205ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.11<br> (292ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (105ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_1_0_on_linux" title="Polynomial Method Comparison with GNU C++ version 5.1.0 on linux">Polynomial
|
|
Method Comparison with GNU C++ version 5.1.0 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_GNU_C_version_5_1_0_on_linux.table_Polynomial_Method_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><p class="title"><b>Table 24. Polynomial Method Comparison with GNU C++ version 5.1.0 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with GNU C++ version 5.1.0 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.67<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.35<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.32<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.60<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.44<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (69ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.80<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.80<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.38<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.48<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (108ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.69<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.80<br> (274ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (156ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64" title="Polynomial Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64">Polynomial
|
|
Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64.table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><p class="title"><b>Table 25. Polynomial Method Comparison with Intel C++ C++0x mode version 1500
|
|
on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Intel C++ C++0x mode version 1500
|
|
on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.67<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.22<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (11ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (10ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (13ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (18ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.36<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (26ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.09<br> (68ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (75ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (36ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.79<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (102ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.98<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.57<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.28<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.04<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.04<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.91<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (51ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.59<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.61<br> (304ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.26<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.94<br> (326ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">6.07<br> (279ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">7.24<br> (333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">5.55<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">8.11<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (52ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux" title="Polynomial Method Comparison with Intel C++ C++0x mode version 1500 on linux">Polynomial
|
|
Method Comparison with Intel C++ C++0x mode version 1500 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux.table_Polynomial_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table 26. Polynomial Method Comparison with Intel C++ C++0x mode version 1500
|
|
on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Intel C++ C++0x mode version 1500
|
|
on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (6ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (5ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (14ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.50<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (8ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (23ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.20<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.73<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (16ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (19ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.86<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (22ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.92<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.71<br> (65ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (24ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.64<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (29ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (38ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.76<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.41<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (35ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.31<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (73ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.44<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.68<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.34<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.17<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.61<br> (107ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.41<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.85<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.61<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.15<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.83<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.37<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.07<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Polynomial Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Polynomial
|
|
Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Polynomial_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 27. Polynomial Method Comparison with Microsoft Visual C++ version 14.0
|
|
on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Polynomial Method Comparison with Microsoft Visual C++ version 14.0
|
|
on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (9ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.25<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.50<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (12ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (34ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.93<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (15ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (27ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.96<br> (49ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (25ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (39ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.11<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (30ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (28ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (32ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (31ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (33ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (50ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (47ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (48ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (67ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.24<br> (103ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (46ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (53ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (70ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (55ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (57ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.37<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (72ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (54ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (58ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (59ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.33<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (60ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (61ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (62ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (63ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (76ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (172ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (90ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">2.00<br> (190ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.12<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.18<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux" title="Rational Method Comparison with Clang version 3.7.0 (trunk 236512) on linux">Rational
|
|
Method Comparison with Clang version 3.7.0 (trunk 236512) on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux.table_Rational_Method_Comparison_with_Clang_version_3_7_0_trunk_236512_on_linux"></a><p class="title"><b>Table 28. Rational Method Comparison with Clang version 3.7.0 (trunk 236512) on
|
|
linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with Clang version 3.7.0 (trunk 236512) on
|
|
linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.14<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (37ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (97ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (104ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (101ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (183ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (172ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (199ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.72<br> (275ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (233ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (222ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (275ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (203ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (214ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (232ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.77<br> (325ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (266ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (256ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (324ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.20<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (298ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (226ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (287ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (281ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (370ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (242ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (308ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (253ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (214ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (298ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (315ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (373ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (246ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (260ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (330ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.83<br> (418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (264ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (347ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (277ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (330ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (359ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (420ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (285ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (374ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (285ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64" title="Rational Method Comparison with GNU C++ version 4.9.2 on Windows x64">Rational
|
|
Method Comparison with GNU C++ version 4.9.2 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64.table_Rational_Method_Comparison_with_GNU_C_version_4_9_2_on_Windows_x64"></a><p class="title"><b>Table 29. Rational Method Comparison with GNU C++ version 4.9.2 on Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with GNU C++ version 4.9.2 on Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (95ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (157ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (169ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (183ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (202ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (205ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (224ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (208ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (273ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (191ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (249ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (249ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (263ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (307ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (284ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (324ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (294ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (312ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (312ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (240ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (225ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (224ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_1_0_on_linux" title="Rational Method Comparison with GNU C++ version 5.1.0 on linux">Rational
|
|
Method Comparison with GNU C++ version 5.1.0 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_GNU_C_version_5_1_0_on_linux.table_Rational_Method_Comparison_with_GNU_C_version_5_1_0_on_linux"></a><p class="title"><b>Table 30. Rational Method Comparison with GNU C++ version 5.1.0 on linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with GNU C++ version 5.1.0 on linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.15<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.02<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.52<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.42<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.12<br> (146ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (166ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (200ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (176ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (164ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (162ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (243ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (209ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (182ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (226ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (269ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (227ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (235ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (195ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (181ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (180ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (287ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (211ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (197ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (259ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (312ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (260ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (267ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (205ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (276ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (320ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (274ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (233ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (294ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (339ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (283ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (291ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (232ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (428ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (302ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (295ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64" title="Rational Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64">Rational
|
|
Method Comparison with Intel C++ C++0x mode version 1500 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64.table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_Windows_x64"></a><p class="title"><b>Table 31. Rational Method Comparison with Intel C++ C++0x mode version 1500 on
|
|
Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with Intel C++ C++0x mode version 1500 on
|
|
Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (77ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (40ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.90<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.95<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.90<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.90<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (94ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (85ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (93ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (109ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (116ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (89ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.74<br> (155ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.26<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (98ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (127ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.62<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (110ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.69<br> (186ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (136ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (200ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (205ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.25<br> (173ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (139ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.59<br> (219ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (221ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (198ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (152ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.07<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.06<br> (233ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.71<br> (200ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.84<br> (215ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.58<br> (302ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (298ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.23<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.26<br> (265ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.78<br> (217ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.88<br> (229ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.56<br> (312ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.77<br> (338ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.57<br> (314ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.22<br> (271ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.28<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (228ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.09<br> (248ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (329ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (398ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (335ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (302ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (312ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (238ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (270ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (474ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (331ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (324ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (253ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (297ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.01<br> (508ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (377ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (347ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (355ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (276ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (317ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (410ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (534ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.27<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (387ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (359ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (361ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (333ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (448ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.94<br> (567ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (393ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (419ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (388ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (393ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux" title="Rational Method Comparison with Intel C++ C++0x mode version 1500 on linux">Rational
|
|
Method Comparison with Intel C++ C++0x mode version 1500 on linux</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux.table_Rational_Method_Comparison_with_Intel_C_C_0x_mode_version_1500_on_linux"></a><p class="title"><b>Table 32. Rational Method Comparison with Intel C++ C++0x mode version 1500 on
|
|
linux</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with Intel C++ C++0x mode version 1500 on
|
|
linux">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (56ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (64ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">3.70<br> (74ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.30<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.05<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">4.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (21ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (20ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (92ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.51<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.49<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (111ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (82ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.46<br> (120ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.73<br> (149ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.37<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (144ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.91<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (91ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (165ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.99<br> (197ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (100ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (183ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (216ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (114ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (112ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (202ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.87<br> (236ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (133ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (185ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.55<br> (220ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (255ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (148ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.10<br> (241ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.42<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (115ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (218ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.17<br> (256ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.53<br> (299ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (123ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (169ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.03<br> (239ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.19<br> (272ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.55<br> (316ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (126ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (168ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.97<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.27<br> (290ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.62<br> (335ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (129ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.38<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.05<br> (262ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.39<br> (313ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.76<br> (362ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (177ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.04<br> (267ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.46<br> (332ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.84<br> (384ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (135ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (188ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.08<br> (281ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.51<br> (347ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.90<br> (400ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (138ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (187ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.09<br> (289ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.52<br> (361ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.92<br> (418ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (150ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.35<br> (193ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="red">2.13<br> (304ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><a class="link" href="index.html#special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64" title="Rational Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64">Rational
|
|
Method Comparison with Microsoft Visual C++ version 14.0 on Windows x64</a>
|
|
</h2></div></div></div>
|
|
<div class="table">
|
|
<a name="special_function_and_distributio.section_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64.table_Rational_Method_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 33. Rational Method Comparison with Microsoft Visual C++ version 14.0 on
|
|
Windows x64</b></p>
|
|
<div class="table-contents"><table class="table" summary="Rational Method Comparison with Microsoft Visual C++ version 14.0 on
|
|
Windows x64">
|
|
<colgroup>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
<col>
|
|
</colgroup>
|
|
<thead><tr>
|
|
<th>
|
|
<p>
|
|
Function
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 0<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 1<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 2<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Double Coefficients)
|
|
</p>
|
|
</th>
|
|
<th>
|
|
<p>
|
|
Method 3<br> (Integer Coefficients)
|
|
</p>
|
|
</th>
|
|
</tr></thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 2
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="grey">-</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (78ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 3
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (79ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.95<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (41ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (44ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 4
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.90<br> (80ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.98<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.93<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (43ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (42ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (45ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 5
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (83ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.06<br> (86ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (81ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.47<br> (119ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.58<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (130ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 6
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (84ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (122ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (132ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 7
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.14<br> (99ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.36<br> (118ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (87ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (88ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.44<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.61<br> (140ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.54<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 8
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (106ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (137ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (96ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (125ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.29<br> (124ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.57<br> (151ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 9
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (121ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (147ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (113ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (117ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.13<br> (128ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.41<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 10
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (134ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (161ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (131ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (141ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.33<br> (174ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 11
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.11<br> (158ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (175ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (145ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (142ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (143ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.30<br> (184ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (231ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 12
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (178ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.24<br> (189ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.05<br> (160ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (159ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (153ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (154ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.39<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.63<br> (249ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 13
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (196ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (202ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.08<br> (180ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.07<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (167ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (170ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (214ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.66<br> (278ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 14
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (213ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.31<br> (234ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (207ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (206ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (180ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (179ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (293ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.70<br> (305ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 15
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.34<br> (257ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (223ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.01<br> (194ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (192ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.60<br> (307ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (321ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 16
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (237ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.40<br> (286ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.16<br> (236ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (235ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (204ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.20<br> (244ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.65<br> (336ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (357ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 17
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.18<br> (251ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.43<br> (303ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (247ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.32<br> (280ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (212ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.80<br> (381ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.64<br> (348ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.75<br> (370ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 18
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.02<br> (265ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.23<br> (320ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (261ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (301ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.10<br> (288ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.21<br> (315ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.48<br> (386ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.56<br> (406ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 19
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.04<br> (285ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.22<br> (336ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (276ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (322ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (275ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.28<br> (353ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.50<br> (413ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.53<br> (422ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<td>
|
|
<p>
|
|
Order 20
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.03<br> (303ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.19<br> (350ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.00<br> (294ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.17<br> (345ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="green">1.15<br> (337ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.67<br> (491ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (426ns)</span>
|
|
</p>
|
|
</td>
|
|
<td>
|
|
<p>
|
|
<span class="blue">1.45<br> (426ns)</span>
|
|
</p>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table></div>
|
|
</div>
|
|
<br class="table-break">
|
|
</div>
|
|
</div>
|
|
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
|
|
<td align="left"><p><small>Last revised: August 21, 2015 at 12:52:51 GMT</small></p></td>
|
|
<td align="right"><div class="copyright-footer"></div></td>
|
|
</tr></table>
|
|
<hr>
|
|
<div class="spirit-nav"></div>
|
|
</body>
|
|
</html>
|