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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.main_tr1"></a><a class="link" href="main_tr1.html" title="C99 and TR1 C Functions Overview">C99 and TR1 C Functions Overview</a> | |
28 | </h2></div></div></div> | |
29 | <p> | |
30 | Many of the special functions included in this library are also a part of the | |
31 | either the <a href="http://www.open-std.org/JTC1/SC22/WG14/www/docs/n1256.pdf" target="_top">C99 | |
32 | Standard ISO/IEC 9899:1999</a> or the <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1836.pdf" target="_top">Technical | |
33 | Report on C++ Library Extensions</a>. Therefore this library includes a | |
34 | thin wrapper header <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tr1</span><span class="special">.</span><span class="identifier">hpp</span></code> that | |
35 | provides compatibility with these two standards. | |
36 | </p> | |
37 | <p> | |
38 | There are various pros and cons to using the library in this way: | |
39 | </p> | |
40 | <p> | |
41 | Pros: | |
42 | </p> | |
43 | <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "> | |
44 | <li class="listitem"> | |
45 | The header to include is lightweight (i.e. fast to compile). | |
46 | </li> | |
47 | <li class="listitem"> | |
48 | The functions have extern "C" linkage, and so are usable from | |
49 | other languages (not just C and C++). | |
50 | </li> | |
51 | <li class="listitem"> | |
52 | C99 and C++ TR1 Standard compatibility. | |
53 | </li> | |
54 | </ul></div> | |
55 | <p> | |
56 | Cons: | |
57 | </p> | |
58 | <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "> | |
59 | <li class="listitem"> | |
60 | You will need to compile and link to the external Boost.Math libraries. | |
61 | </li> | |
62 | <li class="listitem"> | |
63 | Limited to support for the types, <code class="computeroutput"><span class="keyword">float</span></code>, | |
64 | <code class="computeroutput"><span class="keyword">double</span></code> and <code class="computeroutput"><span class="keyword">long</span> | |
65 | <span class="keyword">double</span></code>. | |
66 | </li> | |
67 | <li class="listitem"> | |
68 | Error handling is handled via setting ::errno and returning NaN's and infinities: | |
69 | this may be less flexible than an C++ exception based approach. | |
70 | </li> | |
71 | </ul></div> | |
72 | <div class="note"><table border="0" summary="Note"> | |
73 | <tr> | |
74 | <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td> | |
75 | <th align="left">Note</th> | |
76 | </tr> | |
77 | <tr><td align="left" valign="top"><p> | |
78 | The separate libraries are required <span class="bold"><strong>only</strong></span> | |
79 | if you choose to use boost/math/tr1.hpp rather than some other Boost.Math | |
80 | header, the rest of Boost.Math remains header-only. | |
81 | </p></td></tr> | |
82 | </table></div> | |
83 | <p> | |
84 | The separate libraries required in order to use tr1.hpp can be compiled using | |
85 | bjam from within the libs/math/build directory, or from the Boost root directory | |
86 | using the usual Boost-wide install procedure. Alternatively the source files | |
87 | are located in libs/math/src and each have the same name as the function they | |
88 | implement. The various libraries are named as follows: | |
89 | </p> | |
90 | <div class="informaltable"><table class="table"> | |
91 | <colgroup> | |
92 | <col> | |
93 | <col> | |
94 | <col> | |
95 | </colgroup> | |
96 | <thead><tr> | |
97 | <th> | |
98 | <p> | |
99 | Name | |
100 | </p> | |
101 | </th> | |
102 | <th> | |
103 | <p> | |
104 | Type | |
105 | </p> | |
106 | </th> | |
107 | <th> | |
108 | <p> | |
109 | Functions | |
110 | </p> | |
111 | </th> | |
112 | </tr></thead> | |
113 | <tbody> | |
114 | <tr> | |
115 | <td> | |
116 | <p> | |
117 | boost_math_c99f-<suffix> | |
118 | </p> | |
119 | </td> | |
120 | <td> | |
121 | <p> | |
122 | float | |
123 | </p> | |
124 | </td> | |
125 | <td> | |
126 | <p> | |
127 | C99 Functions | |
128 | </p> | |
129 | </td> | |
130 | </tr> | |
131 | <tr> | |
132 | <td> | |
133 | <p> | |
134 | boost_math_c99-<suffix> | |
135 | </p> | |
136 | </td> | |
137 | <td> | |
138 | <p> | |
139 | double | |
140 | </p> | |
141 | </td> | |
142 | <td> | |
143 | <p> | |
144 | C99 Functions | |
145 | </p> | |
146 | </td> | |
147 | </tr> | |
148 | <tr> | |
149 | <td> | |
150 | <p> | |
151 | boost_math_c99l-<suffix> | |
152 | </p> | |
153 | </td> | |
154 | <td> | |
155 | <p> | |
156 | long double | |
157 | </p> | |
158 | </td> | |
159 | <td> | |
160 | <p> | |
161 | C99 Functions | |
162 | </p> | |
163 | </td> | |
164 | </tr> | |
165 | <tr> | |
166 | <td> | |
167 | <p> | |
168 | boost_math_tr1f-<suffix> | |
169 | </p> | |
170 | </td> | |
171 | <td> | |
172 | <p> | |
173 | float | |
174 | </p> | |
175 | </td> | |
176 | <td> | |
177 | <p> | |
178 | TR1 Functions | |
179 | </p> | |
180 | </td> | |
181 | </tr> | |
182 | <tr> | |
183 | <td> | |
184 | <p> | |
185 | boost_math_tr1-<suffix> | |
186 | </p> | |
187 | </td> | |
188 | <td> | |
189 | <p> | |
190 | double | |
191 | </p> | |
192 | </td> | |
193 | <td> | |
194 | <p> | |
195 | TR1 Functions | |
196 | </p> | |
197 | </td> | |
198 | </tr> | |
199 | <tr> | |
200 | <td> | |
201 | <p> | |
202 | boost_math_tr1l-<suffix> | |
203 | </p> | |
204 | </td> | |
205 | <td> | |
206 | <p> | |
207 | long double | |
208 | </p> | |
209 | </td> | |
210 | <td> | |
211 | <p> | |
212 | TR1 Functions | |
213 | </p> | |
214 | </td> | |
215 | </tr> | |
216 | </tbody> | |
217 | </table></div> | |
218 | <p> | |
219 | Where <code class="computeroutput"><span class="special"><</span><span class="identifier">suffix</span><span class="special">></span></code> encodes the compiler and build options | |
220 | used to build the libraries: for example "libboost_math_tr1-vc80-mt-gd.lib" | |
221 | would be the statically linked TR1 library to use with Visual C++ 8.0, in multithreading | |
222 | debug mode, with the DLL VC++ runtime, where as "boost_math_tr1-vc80-mt.lib" | |
223 | would be import library for the TR1 DLL to be used with Visual C++ 8.0 with | |
224 | the release multithreaded DLL VC++ runtime. Refer to the getting started guide | |
225 | for a <a href="http://www.boost.org/doc/libs/1_35_0/more/getting_started/windows.html#library-naming" target="_top">full | |
226 | explanation of the <code class="computeroutput"><span class="special"><</span><span class="identifier">suffix</span><span class="special">></span></code> meanings</a>. | |
227 | </p> | |
228 | <div class="note"><table border="0" summary="Note"> | |
229 | <tr> | |
230 | <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td> | |
231 | <th align="left">Note</th> | |
232 | </tr> | |
233 | <tr><td align="left" valign="top"> | |
234 | <p> | |
235 | Visual C++ users will typically have the correct library variant to link | |
236 | against selected for them by boost/math/tr1.hpp based on your compiler settings. | |
237 | </p> | |
238 | <p> | |
239 | Users will need to define BOOST_MATH_TR1_DYN_LINK when building their code | |
240 | if they want to link against the DLL versions of these libraries rather than | |
241 | the static versions. | |
242 | </p> | |
243 | <p> | |
244 | Users can disable auto-linking by defining BOOST_MATH_TR1_NO_LIB when building: | |
245 | this is typically only used when linking against a customised build of the | |
246 | libraries. | |
247 | </p> | |
248 | </td></tr> | |
249 | </table></div> | |
250 | <div class="note"><table border="0" summary="Note"> | |
251 | <tr> | |
252 | <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td> | |
253 | <th align="left">Note</th> | |
254 | </tr> | |
255 | <tr><td align="left" valign="top"><p> | |
256 | Linux and Unix users will generally only have one variant of these libraries | |
257 | installed, and can generally just link against -lboost_math_tr1 etc. | |
258 | </p></td></tr> | |
259 | </table></div> | |
260 | <h5> | |
261 | <a name="math_toolkit.main_tr1.h0"></a> | |
262 | <span class="phrase"><a name="math_toolkit.main_tr1.usage_recomendations"></a></span><a class="link" href="main_tr1.html#math_toolkit.main_tr1.usage_recomendations">Usage | |
263 | Recomendations</a> | |
264 | </h5> | |
265 | <p> | |
266 | This library now presents the user with a choice: | |
267 | </p> | |
268 | <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; "> | |
269 | <li class="listitem"> | |
270 | To include the header only versions of the functions and have an easier | |
271 | time linking, but a longer compile time. | |
272 | </li> | |
273 | <li class="listitem"> | |
274 | To include the TR1 headers and link against an external library. | |
275 | </li> | |
276 | </ul></div> | |
277 | <p> | |
278 | Which option you choose depends largely on how you prefer to work and how your | |
279 | system is set up. | |
280 | </p> | |
281 | <p> | |
282 | For example a casual user who just needs the acosh function, would probably | |
283 | be better off including <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">acosh</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> and using <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">acosh</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code> in their code. | |
284 | </p> | |
285 | <p> | |
286 | However, for large scale software development where compile times are significant, | |
287 | and where the Boost libraries are already built and installed on the system, | |
288 | then including <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">tr1</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> and using <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tr1</span><span class="special">::</span><span class="identifier">acosh</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code> | |
289 | will speed up compile times, reduce object files sizes (since there are no | |
290 | templates being instantiated any more), and also speed up debugging runtimes | |
291 | - since the externally compiled libraries can be compiler optimised, rather | |
292 | than built using full settings - the difference in performance between <a class="link" href="getting_best.html" title="Getting the Best Performance from this Library: Compiler and Compiler Options">release and debug builds can be as much | |
293 | as 20 times</a>, so for complex applications this can be a big win. | |
294 | </p> | |
295 | <h5> | |
296 | <a name="math_toolkit.main_tr1.h1"></a> | |
297 | <span class="phrase"><a name="math_toolkit.main_tr1.supported_c99_functions"></a></span><a class="link" href="main_tr1.html#math_toolkit.main_tr1.supported_c99_functions">Supported | |
298 | C99 Functions</a> | |
299 | </h5> | |
300 | <p> | |
301 | See also the <a class="link" href="c99.html" title="C99 C Functions">quick reference guide for these | |
302 | functions</a>. | |
303 | </p> | |
304 | <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">tr1</span><span class="special">{</span> <span class="keyword">extern</span> <span class="string">"C"</span><span class="special">{</span> | |
305 | ||
306 | <span class="keyword">typedef</span> <span class="identifier">unspecified</span> <span class="identifier">float_t</span><span class="special">;</span> | |
307 | <span class="keyword">typedef</span> <span class="identifier">unspecified</span> <span class="identifier">double_t</span><span class="special">;</span> | |
308 | ||
309 | <span class="keyword">double</span> <span class="identifier">acosh</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
310 | <span class="keyword">float</span> <span class="identifier">acoshf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
311 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">acoshl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
312 | ||
313 | <span class="keyword">double</span> <span class="identifier">asinh</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
314 | <span class="keyword">float</span> <span class="identifier">asinhf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
315 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">asinhl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
316 | ||
317 | <span class="keyword">double</span> <span class="identifier">atanh</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
318 | <span class="keyword">float</span> <span class="identifier">atanhf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
319 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">atanhl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
320 | ||
321 | <span class="keyword">double</span> <span class="identifier">cbrt</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
322 | <span class="keyword">float</span> <span class="identifier">cbrtf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
323 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">cbrtl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
324 | ||
325 | <span class="keyword">double</span> <span class="identifier">copysign</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
326 | <span class="keyword">float</span> <span class="identifier">copysignf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
327 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">copysignl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
328 | ||
329 | <span class="keyword">double</span> <span class="identifier">erf</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
330 | <span class="keyword">float</span> <span class="identifier">erff</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
331 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">erfl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
332 | ||
333 | <span class="keyword">double</span> <span class="identifier">erfc</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
334 | <span class="keyword">float</span> <span class="identifier">erfcf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
335 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">erfcl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
336 | ||
337 | <span class="keyword">double</span> <span class="identifier">expm1</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
338 | <span class="keyword">float</span> <span class="identifier">expm1f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
339 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">expm1l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
340 | ||
341 | <span class="keyword">double</span> <span class="identifier">fmax</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
342 | <span class="keyword">float</span> <span class="identifier">fmaxf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
343 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">fmaxl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
344 | ||
345 | <span class="keyword">double</span> <span class="identifier">fmin</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
346 | <span class="keyword">float</span> <span class="identifier">fminf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
347 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">fminl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
348 | ||
349 | <span class="keyword">double</span> <span class="identifier">hypot</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
350 | <span class="keyword">float</span> <span class="identifier">hypotf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
351 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">hypotl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
352 | ||
353 | <span class="keyword">double</span> <span class="identifier">lgamma</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
354 | <span class="keyword">float</span> <span class="identifier">lgammaf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
355 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">lgammal</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
356 | ||
357 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llround</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
358 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llroundf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
359 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llroundl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
360 | ||
361 | <span class="keyword">double</span> <span class="identifier">log1p</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
362 | <span class="keyword">float</span> <span class="identifier">log1pf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
363 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">log1pl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
364 | ||
365 | <span class="keyword">long</span> <span class="identifier">lround</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
366 | <span class="keyword">long</span> <span class="identifier">lroundf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
367 | <span class="keyword">long</span> <span class="identifier">lroundl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
368 | ||
369 | <span class="keyword">double</span> <span class="identifier">nextafter</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
370 | <span class="keyword">float</span> <span class="identifier">nextafterf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
371 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nextafterl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
372 | ||
373 | <span class="keyword">double</span> <span class="identifier">nexttoward</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
374 | <span class="keyword">float</span> <span class="identifier">nexttowardf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
375 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nexttowardl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
376 | ||
377 | <span class="keyword">double</span> <span class="identifier">round</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
378 | <span class="keyword">float</span> <span class="identifier">roundf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
379 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">roundl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
380 | ||
381 | <span class="keyword">double</span> <span class="identifier">tgamma</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
382 | <span class="keyword">float</span> <span class="identifier">tgammaf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
383 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">tgammal</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
384 | ||
385 | <span class="keyword">double</span> <span class="identifier">trunc</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
386 | <span class="keyword">float</span> <span class="identifier">truncf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
387 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">truncl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
388 | ||
389 | <span class="special">}}}}</span> <span class="comment">// namespaces</span> | |
390 | </pre> | |
391 | <h5> | |
392 | <a name="math_toolkit.main_tr1.h2"></a> | |
393 | <span class="phrase"><a name="math_toolkit.main_tr1.supported_tr1_functions"></a></span><a class="link" href="main_tr1.html#math_toolkit.main_tr1.supported_tr1_functions">Supported | |
394 | TR1 Functions</a> | |
395 | </h5> | |
396 | <p> | |
397 | See also the <a class="link" href="main_tr1.html" title="C99 and TR1 C Functions Overview">quick reference guide for | |
398 | these functions</a>. | |
399 | </p> | |
400 | <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">tr1</span><span class="special">{</span> <span class="keyword">extern</span> <span class="string">"C"</span><span class="special">{</span> | |
401 | ||
402 | <span class="comment">// [5.2.1.1] associated Laguerre polynomials:</span> | |
403 | <span class="keyword">double</span> <span class="identifier">assoc_laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
404 | <span class="keyword">float</span> <span class="identifier">assoc_laguerref</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
405 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">assoc_laguerrel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
406 | ||
407 | <span class="comment">// [5.2.1.2] associated Legendre functions:</span> | |
408 | <span class="keyword">double</span> <span class="identifier">assoc_legendre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
409 | <span class="keyword">float</span> <span class="identifier">assoc_legendref</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
410 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">assoc_legendrel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
411 | ||
412 | <span class="comment">// [5.2.1.3] beta function:</span> | |
413 | <span class="keyword">double</span> <span class="identifier">beta</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
414 | <span class="keyword">float</span> <span class="identifier">betaf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
415 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">betal</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
416 | ||
417 | <span class="comment">// [5.2.1.4] (complete) elliptic integral of the first kind:</span> | |
418 | <span class="keyword">double</span> <span class="identifier">comp_ellint_1</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">);</span> | |
419 | <span class="keyword">float</span> <span class="identifier">comp_ellint_1f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">);</span> | |
420 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">comp_ellint_1l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">);</span> | |
421 | ||
422 | <span class="comment">// [5.2.1.5] (complete) elliptic integral of the second kind:</span> | |
423 | <span class="keyword">double</span> <span class="identifier">comp_ellint_2</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">);</span> | |
424 | <span class="keyword">float</span> <span class="identifier">comp_ellint_2f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">);</span> | |
425 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">comp_ellint_2l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">);</span> | |
426 | ||
427 | <span class="comment">// [5.2.1.6] (complete) elliptic integral of the third kind:</span> | |
428 | <span class="keyword">double</span> <span class="identifier">comp_ellint_3</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">);</span> | |
429 | <span class="keyword">float</span> <span class="identifier">comp_ellint_3f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">nu</span><span class="special">);</span> | |
430 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">comp_ellint_3l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">);</span> | |
431 | ||
432 | <span class="comment">// [5.2.1.8] regular modified cylindrical Bessel functions:</span> | |
433 | <span class="keyword">double</span> <span class="identifier">cyl_bessel_i</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
434 | <span class="keyword">float</span> <span class="identifier">cyl_bessel_if</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
435 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">cyl_bessel_il</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
436 | ||
437 | <span class="comment">// [5.2.1.9] cylindrical Bessel functions (of the first kind):</span> | |
438 | <span class="keyword">double</span> <span class="identifier">cyl_bessel_j</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
439 | <span class="keyword">float</span> <span class="identifier">cyl_bessel_jf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
440 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">cyl_bessel_jl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
441 | ||
442 | <span class="comment">// [5.2.1.10] irregular modified cylindrical Bessel functions:</span> | |
443 | <span class="keyword">double</span> <span class="identifier">cyl_bessel_k</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
444 | <span class="keyword">float</span> <span class="identifier">cyl_bessel_kf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
445 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">cyl_bessel_kl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
446 | ||
447 | <span class="comment">// [5.2.1.11] cylindrical Neumann functions;</span> | |
448 | <span class="comment">// cylindrical Bessel functions (of the second kind):</span> | |
449 | <span class="keyword">double</span> <span class="identifier">cyl_neumann</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
450 | <span class="keyword">float</span> <span class="identifier">cyl_neumannf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
451 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">cyl_neumannl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
452 | ||
453 | <span class="comment">// [5.2.1.12] (incomplete) elliptic integral of the first kind:</span> | |
454 | <span class="keyword">double</span> <span class="identifier">ellint_1</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
455 | <span class="keyword">float</span> <span class="identifier">ellint_1f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">phi</span><span class="special">);</span> | |
456 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">ellint_1l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
457 | ||
458 | <span class="comment">// [5.2.1.13] (incomplete) elliptic integral of the second kind:</span> | |
459 | <span class="keyword">double</span> <span class="identifier">ellint_2</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
460 | <span class="keyword">float</span> <span class="identifier">ellint_2f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">phi</span><span class="special">);</span> | |
461 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">ellint_2l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
462 | ||
463 | <span class="comment">// [5.2.1.14] (incomplete) elliptic integral of the third kind:</span> | |
464 | <span class="keyword">double</span> <span class="identifier">ellint_3</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
465 | <span class="keyword">float</span> <span class="identifier">ellint_3f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">phi</span><span class="special">);</span> | |
466 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">ellint_3l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">k</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nu</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">phi</span><span class="special">);</span> | |
467 | ||
468 | <span class="comment">// [5.2.1.15] exponential integral:</span> | |
469 | <span class="keyword">double</span> <span class="identifier">expint</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
470 | <span class="keyword">float</span> <span class="identifier">expintf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
471 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">expintl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
472 | ||
473 | <span class="comment">// [5.2.1.16] Hermite polynomials:</span> | |
474 | <span class="keyword">double</span> <span class="identifier">hermite</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
475 | <span class="keyword">float</span> <span class="identifier">hermitef</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
476 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">hermitel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
477 | ||
478 | <span class="comment">// [5.2.1.18] Laguerre polynomials:</span> | |
479 | <span class="keyword">double</span> <span class="identifier">laguerre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
480 | <span class="keyword">float</span> <span class="identifier">laguerref</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
481 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">laguerrel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
482 | ||
483 | <span class="comment">// [5.2.1.19] Legendre polynomials:</span> | |
484 | <span class="keyword">double</span> <span class="identifier">legendre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
485 | <span class="keyword">float</span> <span class="identifier">legendref</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
486 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">legendrel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
487 | ||
488 | <span class="comment">// [5.2.1.20] Riemann zeta function:</span> | |
489 | <span class="keyword">double</span> <span class="identifier">riemann_zeta</span><span class="special">(</span><span class="keyword">double</span><span class="special">);</span> | |
490 | <span class="keyword">float</span> <span class="identifier">riemann_zetaf</span><span class="special">(</span><span class="keyword">float</span><span class="special">);</span> | |
491 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">riemann_zetal</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">);</span> | |
492 | ||
493 | <span class="comment">// [5.2.1.21] spherical Bessel functions (of the first kind):</span> | |
494 | <span class="keyword">double</span> <span class="identifier">sph_bessel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
495 | <span class="keyword">float</span> <span class="identifier">sph_besself</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
496 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">sph_bessell</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
497 | ||
498 | <span class="comment">// [5.2.1.22] spherical associated Legendre functions:</span> | |
499 | <span class="keyword">double</span> <span class="identifier">sph_legendre</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">theta</span><span class="special">);</span> | |
500 | <span class="keyword">float</span> <span class="identifier">sph_legendref</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">theta</span><span class="special">);</span> | |
501 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">sph_legendrel</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">l</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">m</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">theta</span><span class="special">);</span> | |
502 | ||
503 | <span class="comment">// [5.2.1.23] spherical Neumann functions;</span> | |
504 | <span class="comment">// spherical Bessel functions (of the second kind):</span> | |
505 | <span class="keyword">double</span> <span class="identifier">sph_neumann</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
506 | <span class="keyword">float</span> <span class="identifier">sph_neumannf</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
507 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">sph_neumannl</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
508 | ||
509 | <span class="special">}}}}</span> <span class="comment">// namespaces</span> | |
510 | </pre> | |
511 | <p> | |
512 | In addition sufficient additional overloads of the <code class="computeroutput"><span class="keyword">double</span></code> | |
513 | versions of the above functions are provided, so that calling the function | |
514 | with any mixture of <code class="computeroutput"><span class="keyword">float</span></code>, <code class="computeroutput"><span class="keyword">double</span></code>, <code class="computeroutput"><span class="keyword">long</span> | |
515 | <span class="keyword">double</span></code>, or <span class="emphasis"><em>integer</em></span> | |
516 | arguments is supported, with the return type determined by the <a class="link" href="result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result | |
517 | type calculation rules</em></span></a>. | |
518 | </p> | |
519 | <h5> | |
520 | <a name="math_toolkit.main_tr1.h3"></a> | |
521 | <span class="phrase"><a name="math_toolkit.main_tr1.currently_unsupported_c99_functi"></a></span><a class="link" href="main_tr1.html#math_toolkit.main_tr1.currently_unsupported_c99_functi">Currently | |
522 | Unsupported C99 Functions</a> | |
523 | </h5> | |
524 | <pre class="programlisting"><span class="keyword">double</span> <span class="identifier">exp2</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
525 | <span class="keyword">float</span> <span class="identifier">exp2f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
526 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">exp2l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
527 | ||
528 | <span class="keyword">double</span> <span class="identifier">fdim</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
529 | <span class="keyword">float</span> <span class="identifier">fdimf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
530 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">fdiml</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
531 | ||
532 | <span class="keyword">double</span> <span class="identifier">fma</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">z</span><span class="special">);</span> | |
533 | <span class="keyword">float</span> <span class="identifier">fmaf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">z</span><span class="special">);</span> | |
534 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">fmal</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">z</span><span class="special">);</span> | |
535 | ||
536 | <span class="keyword">int</span> <span class="identifier">ilogb</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
537 | <span class="keyword">int</span> <span class="identifier">ilogbf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
538 | <span class="keyword">int</span> <span class="identifier">ilogbl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
539 | ||
540 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llrint</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
541 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llrintf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
542 | <span class="keyword">long</span> <span class="keyword">long</span> <span class="identifier">llrintl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
543 | ||
544 | <span class="keyword">double</span> <span class="identifier">log2</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
545 | <span class="keyword">float</span> <span class="identifier">log2f</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
546 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">log2l</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
547 | ||
548 | <span class="keyword">double</span> <span class="identifier">logb</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
549 | <span class="keyword">float</span> <span class="identifier">logbf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
550 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">logbl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
551 | ||
552 | <span class="keyword">long</span> <span class="identifier">lrint</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
553 | <span class="keyword">long</span> <span class="identifier">lrintf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
554 | <span class="keyword">long</span> <span class="identifier">lrintl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
555 | ||
556 | <span class="keyword">double</span> <span class="identifier">nan</span><span class="special">(</span><span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">str</span><span class="special">);</span> | |
557 | <span class="keyword">float</span> <span class="identifier">nanf</span><span class="special">(</span><span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">str</span><span class="special">);</span> | |
558 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nanl</span><span class="special">(</span><span class="keyword">const</span> <span class="keyword">char</span> <span class="special">*</span><span class="identifier">str</span><span class="special">);</span> | |
559 | ||
560 | <span class="keyword">double</span> <span class="identifier">nearbyint</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
561 | <span class="keyword">float</span> <span class="identifier">nearbyintf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
562 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">nearbyintl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
563 | ||
564 | <span class="keyword">double</span> <span class="identifier">remainder</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
565 | <span class="keyword">float</span> <span class="identifier">remainderf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">);</span> | |
566 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">remainderl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">);</span> | |
567 | ||
568 | <span class="keyword">double</span> <span class="identifier">remquo</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">int</span> <span class="special">*</span><span class="identifier">pquo</span><span class="special">);</span> | |
569 | <span class="keyword">float</span> <span class="identifier">remquof</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">int</span> <span class="special">*</span><span class="identifier">pquo</span><span class="special">);</span> | |
570 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">remquol</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">int</span> <span class="special">*</span><span class="identifier">pquo</span><span class="special">);</span> | |
571 | ||
572 | <span class="keyword">double</span> <span class="identifier">rint</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
573 | <span class="keyword">float</span> <span class="identifier">rintf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
574 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">rintl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
575 | ||
576 | <span class="keyword">double</span> <span class="identifier">scalbln</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="identifier">ex</span><span class="special">);</span> | |
577 | <span class="keyword">float</span> <span class="identifier">scalblnf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="identifier">ex</span><span class="special">);</span> | |
578 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">scalblnl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">long</span> <span class="identifier">ex</span><span class="special">);</span> | |
579 | ||
580 | <span class="keyword">double</span> <span class="identifier">scalbn</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">ex</span><span class="special">);</span> | |
581 | <span class="keyword">float</span> <span class="identifier">scalbnf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">ex</span><span class="special">);</span> | |
582 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">scalbnl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">int</span> <span class="identifier">ex</span><span class="special">);</span> | |
583 | </pre> | |
584 | <h5> | |
585 | <a name="math_toolkit.main_tr1.h4"></a> | |
586 | <span class="phrase"><a name="math_toolkit.main_tr1.currently_unsupported_tr1_functi"></a></span><a class="link" href="main_tr1.html#math_toolkit.main_tr1.currently_unsupported_tr1_functi">Currently | |
587 | Unsupported TR1 Functions</a> | |
588 | </h5> | |
589 | <pre class="programlisting"><span class="comment">// [5.2.1.7] confluent hypergeometric functions:</span> | |
590 | <span class="keyword">double</span> <span class="identifier">conf_hyperg</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">c</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
591 | <span class="keyword">float</span> <span class="identifier">conf_hypergf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">c</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
592 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">conf_hypergl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">c</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
593 | ||
594 | <span class="comment">// [5.2.1.17] hypergeometric functions:</span> | |
595 | <span class="keyword">double</span> <span class="identifier">hyperg</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">c</span><span class="special">,</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
596 | <span class="keyword">float</span> <span class="identifier">hypergf</span><span class="special">(</span><span class="keyword">float</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">c</span><span class="special">,</span> <span class="keyword">float</span> <span class="identifier">x</span><span class="special">);</span> | |
597 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">hypergl</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">b</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">c</span><span class="special">,</span> | |
598 | <span class="keyword">long</span> <span class="keyword">double</span> <span class="identifier">x</span><span class="special">);</span> | |
599 | </pre> | |
600 | </div> | |
601 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
602 | <td align="left"></td> | |
603 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
604 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
605 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
606 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> | |
607 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
608 | 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>) | |
609 | </p> | |
610 | </div></td> | |
611 | </tr></table> | |
612 | <hr> | |
613 | <div class="spirit-nav"> | |
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