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24 | </div> | |
25 | <div class="section"> | |
26 | <div class="titlepage"><div><div><h2 class="title" style="clear: both"> | |
27 | <a name="math_toolkit.comparisons"></a><a class="link" href="comparisons.html" title="Comparisons to Other Open Source Libraries">Comparisons to Other Open Source | |
28 | Libraries</a> | |
29 | </h2></div></div></div> | |
30 | <p> | |
31 | We've run our performance tests both for our own code, and against other open | |
32 | source implementations of the same functions. The results are presented below | |
33 | to give you a rough idea of how they all compare. In order to give a more-or-less | |
34 | level playing field our test data was screened against all the libraries being | |
35 | tested, and any unsupported domains removed, likewise for any test cases that | |
36 | gave large errors or unexpected non-finite values. | |
37 | </p> | |
38 | <div class="caution"><table border="0" summary="Caution"> | |
39 | <tr> | |
40 | <td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../../doc/src/images/caution.png"></td> | |
41 | <th align="left">Caution</th> | |
42 | </tr> | |
43 | <tr><td align="left" valign="top"><p> | |
44 | You should exercise extreme caution when interpreting these results, relative | |
45 | performance may vary by platform, the tests use data that gives good code | |
46 | coverage of <span class="emphasis"><em>our</em></span> code, but which may skew the results | |
47 | towards the corner cases. Finally, remember that different libraries make | |
48 | different choices with regard to performance verses numerical stability. | |
49 | </p></td></tr> | |
50 | </table></div> | |
51 | <p> | |
52 | The first results compare standard library functions to Boost equivalents with | |
53 | MSVC-14.0: | |
54 | </p> | |
55 | <div class="table"> | |
56 | <a name="math_toolkit.comparisons.table_Library_Comparison_with_Microsoft_Visual_C_version_14_0_on_Windows_x64"></a><p class="title"><b>Table 16.7. Library Comparison with Microsoft Visual C++ version 14.0 on Windows | |
57 | x64</b></p> | |
58 | <div class="table-contents"><table class="table" summary="Library Comparison with Microsoft Visual C++ version 14.0 on Windows | |
59 | x64"> | |
60 | <colgroup> | |
61 | <col> | |
62 | <col> | |
63 | <col> | |
64 | </colgroup> | |
65 | <thead><tr> | |
66 | <th> | |
67 | <p> | |
68 | Function | |
69 | </p> | |
70 | </th> | |
71 | <th> | |
72 | <p> | |
73 | boost 1.61 | |
74 | </p> | |
75 | </th> | |
76 | <th> | |
77 | <p> | |
78 | math.h | |
79 | </p> | |
80 | </th> | |
81 | </tr></thead> | |
82 | <tbody> | |
83 | <tr> | |
84 | <td> | |
85 | <p> | |
86 | cbrt<br> (85/85 tests selected) | |
87 | </p> | |
88 | </td> | |
89 | <td> | |
90 | <p> | |
91 | <span class="green">1.00<br> (45ns)</span> | |
92 | </p> | |
93 | </td> | |
94 | <td> | |
95 | <p> | |
96 | <span class="blue">1.44<br> (65ns)</span> | |
97 | </p> | |
98 | </td> | |
99 | </tr> | |
100 | <tr> | |
101 | <td> | |
102 | <p> | |
103 | cyl_bessel_j (integer order)<br> (267/268 tests selected) | |
104 | </p> | |
105 | </td> | |
106 | <td> | |
107 | <p> | |
108 | <span class="green">1.00<br> (103ns)</span> | |
109 | </p> | |
110 | </td> | |
111 | <td> | |
112 | <p> | |
113 | <span class="red">2.11<br> (217ns)</span> | |
114 | </p> | |
115 | </td> | |
116 | </tr> | |
117 | <tr> | |
118 | <td> | |
119 | <p> | |
120 | cyl_neumann (integer order)<br> (428/428 tests selected) | |
121 | </p> | |
122 | </td> | |
123 | <td> | |
124 | <p> | |
125 | <span class="blue">1.57<br> (225ns)</span> | |
126 | </p> | |
127 | </td> | |
128 | <td> | |
129 | <p> | |
130 | <span class="green">1.00<br> (143ns)</span> | |
131 | </p> | |
132 | </td> | |
133 | </tr> | |
134 | <tr> | |
135 | <td> | |
136 | <p> | |
137 | erf<br> (950/950 tests selected) | |
138 | </p> | |
139 | </td> | |
140 | <td> | |
141 | <p> | |
142 | <span class="green">1.10<br> (23ns)</span> | |
143 | </p> | |
144 | </td> | |
145 | <td> | |
146 | <p> | |
147 | <span class="green">1.00<br> (21ns)</span> | |
148 | </p> | |
149 | </td> | |
150 | </tr> | |
151 | <tr> | |
152 | <td> | |
153 | <p> | |
154 | erfc<br> (950/950 tests selected) | |
155 | </p> | |
156 | </td> | |
157 | <td> | |
158 | <p> | |
159 | <span class="green">1.00<br> (22ns)</span> | |
160 | </p> | |
161 | </td> | |
162 | <td> | |
163 | <p> | |
164 | <span class="red">3.36<br> (74ns)</span> | |
165 | </p> | |
166 | </td> | |
167 | </tr> | |
168 | <tr> | |
169 | <td> | |
170 | <p> | |
171 | expm1<br> (80/80 tests selected) | |
172 | </p> | |
173 | </td> | |
174 | <td> | |
175 | <p> | |
176 | <span class="green">1.00<br> (10ns)</span> | |
177 | </p> | |
178 | </td> | |
179 | <td> | |
180 | <p> | |
181 | <span class="green">1.10<br> (11ns)</span> | |
182 | </p> | |
183 | </td> | |
184 | </tr> | |
185 | <tr> | |
186 | <td> | |
187 | <p> | |
188 | lgamma<br> (400/400 tests selected) | |
189 | </p> | |
190 | </td> | |
191 | <td> | |
192 | <p> | |
193 | <span class="green">1.00<br> (73ns)</span> | |
194 | </p> | |
195 | </td> | |
196 | <td> | |
197 | <p> | |
198 | <span class="blue">1.74<br> (127ns)</span> | |
199 | </p> | |
200 | </td> | |
201 | </tr> | |
202 | <tr> | |
203 | <td> | |
204 | <p> | |
205 | log1p<br> (80/80 tests selected) | |
206 | </p> | |
207 | </td> | |
208 | <td> | |
209 | <p> | |
210 | <span class="green">1.08<br> (14ns)</span> | |
211 | </p> | |
212 | </td> | |
213 | <td> | |
214 | <p> | |
215 | <span class="green">1.00<br> (13ns)</span> | |
216 | </p> | |
217 | </td> | |
218 | </tr> | |
219 | <tr> | |
220 | <td> | |
221 | <p> | |
222 | tgamma<br> (400/400 tests selected) | |
223 | </p> | |
224 | </td> | |
225 | <td> | |
226 | <p> | |
227 | <span class="green">1.00<br> (77ns)</span> | |
228 | </p> | |
229 | </td> | |
230 | <td> | |
231 | <p> | |
232 | <span class="red">12.12<br> (933ns)</span> | |
233 | </p> | |
234 | </td> | |
235 | </tr> | |
236 | </tbody> | |
237 | </table></div> | |
238 | </div> | |
239 | <br class="table-break"><p> | |
240 | On Linux with GCC, we can also compare to the TR1 functions, and to GSL and | |
241 | RMath: | |
242 | </p> | |
243 | <p> | |
244 | [table_Library_Comparison_with_GNU_C_version_5_1_0_on_linux] | |
245 | </p> | |
246 | <p> | |
247 | And finally we can compare the statistical distributions to GSL, RMath and | |
248 | DCDFLIB: | |
249 | </p> | |
250 | <p> | |
251 | [table_Distribution_performance_comparison_with_GNU_C_version_5_1_0_on_linux] | |
252 | </p> | |
253 | </div> | |
254 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
255 | <td align="left"></td> | |
256 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
257 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
258 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
259 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> | |
260 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
261 | 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>) | |
262 | </p> | |
263 | </div></td> | |
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