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<a href="a00806.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">// TR1 cmath -*- C++ -*-</span>
<a name="l00002"></a>00002
<a name="l00003"></a>00003 <span class="comment">// Copyright (C) 2006, 2007, 2008, 2009, 2010, 2011</span>
<a name="l00004"></a>00004 <span class="comment">// Free Software Foundation, Inc.</span>
<a name="l00005"></a>00005 <span class="comment">//</span>
<a name="l00006"></a>00006 <span class="comment">// This file is part of the GNU ISO C++ Library. This library is free</span>
<a name="l00007"></a>00007 <span class="comment">// software; you can redistribute it and/or modify it under the</span>
<a name="l00008"></a>00008 <span class="comment">// terms of the GNU General Public License as published by the</span>
<a name="l00009"></a>00009 <span class="comment">// Free Software Foundation; either version 3, or (at your option)</span>
<a name="l00010"></a>00010 <span class="comment">// any later version.</span>
<a name="l00011"></a>00011
<a name="l00012"></a>00012 <span class="comment">// This library is distributed in the hope that it will be useful,</span>
<a name="l00013"></a>00013 <span class="comment">// but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00014"></a>00014 <span class="comment">// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span>
<a name="l00015"></a>00015 <span class="comment">// GNU General Public License for more details.</span>
<a name="l00016"></a>00016
<a name="l00017"></a>00017 <span class="comment">// Under Section 7 of GPL version 3, you are granted additional</span>
<a name="l00018"></a>00018 <span class="comment">// permissions described in the GCC Runtime Library Exception, version</span>
<a name="l00019"></a>00019 <span class="comment">// 3.1, as published by the Free Software Foundation.</span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021 <span class="comment">// You should have received a copy of the GNU General Public License and</span>
<a name="l00022"></a>00022 <span class="comment">// a copy of the GCC Runtime Library Exception along with this program;</span>
<a name="l00023"></a>00023 <span class="comment">// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see</span>
<a name="l00024"></a>00024 <span class="comment">// <http://www.gnu.org/licenses/>.</span>
<a name="l00025"></a>00025 <span class="comment"></span>
<a name="l00026"></a>00026 <span class="comment">/** @file tr1/cmath</span>
<a name="l00027"></a>00027 <span class="comment"> * This is a TR1 C++ Library header. </span>
<a name="l00028"></a>00028 <span class="comment"> */</span>
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <span class="preprocessor">#ifndef _GLIBCXX_TR1_CMATH</span>
<a name="l00031"></a>00031 <span class="preprocessor"></span><span class="preprocessor">#define _GLIBCXX_TR1_CMATH 1</span>
<a name="l00032"></a>00032 <span class="preprocessor"></span>
<a name="l00033"></a>00033 <span class="preprocessor">#pragma GCC system_header</span>
<a name="l00034"></a>00034 <span class="preprocessor"></span>
<a name="l00035"></a>00035 <span class="preprocessor">#include <cmath></span>
<a name="l00036"></a>00036
<a name="l00037"></a>00037 <span class="preprocessor">#ifdef _GLIBCXX_USE_C99_MATH_TR1</span>
<a name="l00038"></a>00038 <span class="preprocessor"></span>
<a name="l00039"></a>00039 <span class="preprocessor">#undef acosh</span>
<a name="l00040"></a>00040 <span class="preprocessor"></span><span class="preprocessor">#undef acoshf</span>
<a name="l00041"></a>00041 <span class="preprocessor"></span><span class="preprocessor">#undef acoshl</span>
<a name="l00042"></a>00042 <span class="preprocessor"></span><span class="preprocessor">#undef asinh</span>
<a name="l00043"></a>00043 <span class="preprocessor"></span><span class="preprocessor">#undef asinhf</span>
<a name="l00044"></a>00044 <span class="preprocessor"></span><span class="preprocessor">#undef asinhl</span>
<a name="l00045"></a>00045 <span class="preprocessor"></span><span class="preprocessor">#undef atanh</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><span class="preprocessor">#undef atanhf</span>
<a name="l00047"></a>00047 <span class="preprocessor"></span><span class="preprocessor">#undef atanhl</span>
<a name="l00048"></a>00048 <span class="preprocessor"></span><span class="preprocessor">#undef cbrt</span>
<a name="l00049"></a>00049 <span class="preprocessor"></span><span class="preprocessor">#undef cbrtf</span>
<a name="l00050"></a>00050 <span class="preprocessor"></span><span class="preprocessor">#undef cbrtl</span>
<a name="l00051"></a>00051 <span class="preprocessor"></span><span class="preprocessor">#undef copysign</span>
<a name="l00052"></a>00052 <span class="preprocessor"></span><span class="preprocessor">#undef copysignf</span>
<a name="l00053"></a>00053 <span class="preprocessor"></span><span class="preprocessor">#undef copysignl</span>
<a name="l00054"></a>00054 <span class="preprocessor"></span><span class="preprocessor">#undef erf</span>
<a name="l00055"></a>00055 <span class="preprocessor"></span><span class="preprocessor">#undef erff</span>
<a name="l00056"></a>00056 <span class="preprocessor"></span><span class="preprocessor">#undef erfl</span>
<a name="l00057"></a>00057 <span class="preprocessor"></span><span class="preprocessor">#undef erfc</span>
<a name="l00058"></a>00058 <span class="preprocessor"></span><span class="preprocessor">#undef erfcf</span>
<a name="l00059"></a>00059 <span class="preprocessor"></span><span class="preprocessor">#undef erfcl</span>
<a name="l00060"></a>00060 <span class="preprocessor"></span><span class="preprocessor">#undef exp2</span>
<a name="l00061"></a>00061 <span class="preprocessor"></span><span class="preprocessor">#undef exp2f</span>
<a name="l00062"></a>00062 <span class="preprocessor"></span><span class="preprocessor">#undef exp2l</span>
<a name="l00063"></a>00063 <span class="preprocessor"></span><span class="preprocessor">#undef expm1</span>
<a name="l00064"></a>00064 <span class="preprocessor"></span><span class="preprocessor">#undef expm1f</span>
<a name="l00065"></a>00065 <span class="preprocessor"></span><span class="preprocessor">#undef expm1l</span>
<a name="l00066"></a>00066 <span class="preprocessor"></span><span class="preprocessor">#undef fdim</span>
<a name="l00067"></a>00067 <span class="preprocessor"></span><span class="preprocessor">#undef fdimf</span>
<a name="l00068"></a>00068 <span class="preprocessor"></span><span class="preprocessor">#undef fdiml</span>
<a name="l00069"></a>00069 <span class="preprocessor"></span><span class="preprocessor">#undef fma</span>
<a name="l00070"></a>00070 <span class="preprocessor"></span><span class="preprocessor">#undef fmaf</span>
<a name="l00071"></a>00071 <span class="preprocessor"></span><span class="preprocessor">#undef fmal</span>
<a name="l00072"></a>00072 <span class="preprocessor"></span><span class="preprocessor">#undef fmax</span>
<a name="l00073"></a>00073 <span class="preprocessor"></span><span class="preprocessor">#undef fmaxf</span>
<a name="l00074"></a>00074 <span class="preprocessor"></span><span class="preprocessor">#undef fmaxl</span>
<a name="l00075"></a>00075 <span class="preprocessor"></span><span class="preprocessor">#undef fmin</span>
<a name="l00076"></a>00076 <span class="preprocessor"></span><span class="preprocessor">#undef fminf</span>
<a name="l00077"></a>00077 <span class="preprocessor"></span><span class="preprocessor">#undef fminl</span>
<a name="l00078"></a>00078 <span class="preprocessor"></span><span class="preprocessor">#undef hypot</span>
<a name="l00079"></a>00079 <span class="preprocessor"></span><span class="preprocessor">#undef hypotf</span>
<a name="l00080"></a>00080 <span class="preprocessor"></span><span class="preprocessor">#undef hypotl</span>
<a name="l00081"></a>00081 <span class="preprocessor"></span><span class="preprocessor">#undef ilogb</span>
<a name="l00082"></a>00082 <span class="preprocessor"></span><span class="preprocessor">#undef ilogbf</span>
<a name="l00083"></a>00083 <span class="preprocessor"></span><span class="preprocessor">#undef ilogbl</span>
<a name="l00084"></a>00084 <span class="preprocessor"></span><span class="preprocessor">#undef lgamma</span>
<a name="l00085"></a>00085 <span class="preprocessor"></span><span class="preprocessor">#undef lgammaf</span>
<a name="l00086"></a>00086 <span class="preprocessor"></span><span class="preprocessor">#undef lgammal</span>
<a name="l00087"></a>00087 <span class="preprocessor"></span><span class="preprocessor">#undef llrint</span>
<a name="l00088"></a>00088 <span class="preprocessor"></span><span class="preprocessor">#undef llrintf</span>
<a name="l00089"></a>00089 <span class="preprocessor"></span><span class="preprocessor">#undef llrintl</span>
<a name="l00090"></a>00090 <span class="preprocessor"></span><span class="preprocessor">#undef llround</span>
<a name="l00091"></a>00091 <span class="preprocessor"></span><span class="preprocessor">#undef llroundf</span>
<a name="l00092"></a>00092 <span class="preprocessor"></span><span class="preprocessor">#undef llroundl</span>
<a name="l00093"></a>00093 <span class="preprocessor"></span><span class="preprocessor">#undef log1p</span>
<a name="l00094"></a>00094 <span class="preprocessor"></span><span class="preprocessor">#undef log1pf</span>
<a name="l00095"></a>00095 <span class="preprocessor"></span><span class="preprocessor">#undef log1pl</span>
<a name="l00096"></a>00096 <span class="preprocessor"></span><span class="preprocessor">#undef log2</span>
<a name="l00097"></a>00097 <span class="preprocessor"></span><span class="preprocessor">#undef log2f</span>
<a name="l00098"></a>00098 <span class="preprocessor"></span><span class="preprocessor">#undef log2l</span>
<a name="l00099"></a>00099 <span class="preprocessor"></span><span class="preprocessor">#undef logb</span>
<a name="l00100"></a>00100 <span class="preprocessor"></span><span class="preprocessor">#undef logbf</span>
<a name="l00101"></a>00101 <span class="preprocessor"></span><span class="preprocessor">#undef logbl</span>
<a name="l00102"></a>00102 <span class="preprocessor"></span><span class="preprocessor">#undef lrint</span>
<a name="l00103"></a>00103 <span class="preprocessor"></span><span class="preprocessor">#undef lrintf</span>
<a name="l00104"></a>00104 <span class="preprocessor"></span><span class="preprocessor">#undef lrintl</span>
<a name="l00105"></a>00105 <span class="preprocessor"></span><span class="preprocessor">#undef lround</span>
<a name="l00106"></a>00106 <span class="preprocessor"></span><span class="preprocessor">#undef lroundf</span>
<a name="l00107"></a>00107 <span class="preprocessor"></span><span class="preprocessor">#undef lroundl</span>
<a name="l00108"></a>00108 <span class="preprocessor"></span><span class="preprocessor">#undef nan</span>
<a name="l00109"></a>00109 <span class="preprocessor"></span><span class="preprocessor">#undef nanf</span>
<a name="l00110"></a>00110 <span class="preprocessor"></span><span class="preprocessor">#undef nanl</span>
<a name="l00111"></a>00111 <span class="preprocessor"></span><span class="preprocessor">#undef nearbyint</span>
<a name="l00112"></a>00112 <span class="preprocessor"></span><span class="preprocessor">#undef nearbyintf</span>
<a name="l00113"></a>00113 <span class="preprocessor"></span><span class="preprocessor">#undef nearbyintl</span>
<a name="l00114"></a>00114 <span class="preprocessor"></span><span class="preprocessor">#undef nextafter</span>
<a name="l00115"></a>00115 <span class="preprocessor"></span><span class="preprocessor">#undef nextafterf</span>
<a name="l00116"></a>00116 <span class="preprocessor"></span><span class="preprocessor">#undef nextafterl</span>
<a name="l00117"></a>00117 <span class="preprocessor"></span><span class="preprocessor">#undef nexttoward</span>
<a name="l00118"></a>00118 <span class="preprocessor"></span><span class="preprocessor">#undef nexttowardf</span>
<a name="l00119"></a>00119 <span class="preprocessor"></span><span class="preprocessor">#undef nexttowardl</span>
<a name="l00120"></a>00120 <span class="preprocessor"></span><span class="preprocessor">#undef remainder</span>
<a name="l00121"></a>00121 <span class="preprocessor"></span><span class="preprocessor">#undef remainderf</span>
<a name="l00122"></a>00122 <span class="preprocessor"></span><span class="preprocessor">#undef remainderl</span>
<a name="l00123"></a>00123 <span class="preprocessor"></span><span class="preprocessor">#undef remquo</span>
<a name="l00124"></a>00124 <span class="preprocessor"></span><span class="preprocessor">#undef remquof</span>
<a name="l00125"></a>00125 <span class="preprocessor"></span><span class="preprocessor">#undef remquol</span>
<a name="l00126"></a>00126 <span class="preprocessor"></span><span class="preprocessor">#undef rint</span>
<a name="l00127"></a>00127 <span class="preprocessor"></span><span class="preprocessor">#undef rintf</span>
<a name="l00128"></a>00128 <span class="preprocessor"></span><span class="preprocessor">#undef rintl</span>
<a name="l00129"></a>00129 <span class="preprocessor"></span><span class="preprocessor">#undef round</span>
<a name="l00130"></a>00130 <span class="preprocessor"></span><span class="preprocessor">#undef roundf</span>
<a name="l00131"></a>00131 <span class="preprocessor"></span><span class="preprocessor">#undef roundl</span>
<a name="l00132"></a>00132 <span class="preprocessor"></span><span class="preprocessor">#undef scalbln</span>
<a name="l00133"></a>00133 <span class="preprocessor"></span><span class="preprocessor">#undef scalblnf</span>
<a name="l00134"></a>00134 <span class="preprocessor"></span><span class="preprocessor">#undef scalblnl</span>
<a name="l00135"></a>00135 <span class="preprocessor"></span><span class="preprocessor">#undef scalbn</span>
<a name="l00136"></a>00136 <span class="preprocessor"></span><span class="preprocessor">#undef scalbnf</span>
<a name="l00137"></a>00137 <span class="preprocessor"></span><span class="preprocessor">#undef scalbnl</span>
<a name="l00138"></a>00138 <span class="preprocessor"></span><span class="preprocessor">#undef tgamma</span>
<a name="l00139"></a>00139 <span class="preprocessor"></span><span class="preprocessor">#undef tgammaf</span>
<a name="l00140"></a>00140 <span class="preprocessor"></span><span class="preprocessor">#undef tgammal</span>
<a name="l00141"></a>00141 <span class="preprocessor"></span><span class="preprocessor">#undef trunc</span>
<a name="l00142"></a>00142 <span class="preprocessor"></span><span class="preprocessor">#undef truncf</span>
<a name="l00143"></a>00143 <span class="preprocessor"></span><span class="preprocessor">#undef truncl</span>
<a name="l00144"></a>00144 <span class="preprocessor"></span>
<a name="l00145"></a>00145 <span class="preprocessor">#endif</span>
<a name="l00146"></a>00146 <span class="preprocessor"></span>
<a name="l00147"></a>00147 <span class="keyword">namespace </span>std _GLIBCXX_VISIBILITY(default)
<a name="l00148"></a>00148 {
<a name="l00149"></a>00149 <span class="keyword">namespace </span>tr1
<a name="l00150"></a>00150 {
<a name="l00151"></a>00151 _GLIBCXX_BEGIN_NAMESPACE_VERSION
<a name="l00152"></a>00152
<a name="l00153"></a>00153 <span class="preprocessor">#if _GLIBCXX_USE_C99_MATH_TR1</span>
<a name="l00154"></a>00154 <span class="preprocessor"></span>
<a name="l00155"></a>00155 <span class="comment">// types</span>
<a name="l00156"></a>00156 using ::double_t;
<a name="l00157"></a>00157 using ::float_t;
<a name="l00158"></a>00158
<a name="l00159"></a>00159 <span class="comment">// functions</span>
<a name="l00160"></a>00160 <a class="code" href="a01166.html#ga496cae38112ee2d47973527c16d3989c" title="acosh(__z) [8.1.5].">using ::acosh</a>;
<a name="l00161"></a>00161 using ::acoshf;
<a name="l00162"></a>00162 using ::acoshl;
<a name="l00163"></a>00163
<a name="l00164"></a>00164 <a class="code" href="a01166.html#gaccfb0c47b8b37303d9664900e9ed8eb3" title="asinh(__z) [8.1.6].">using ::asinh</a>;
<a name="l00165"></a>00165 using ::asinhf;
<a name="l00166"></a>00166 using ::asinhl;
<a name="l00167"></a>00167
<a name="l00168"></a>00168 <a class="code" href="a01166.html#ga6f1c07cf0e3c3309162f5f3515976346" title="atanh(__z) [8.1.7].">using ::atanh</a>;
<a name="l00169"></a>00169 using ::atanhf;
<a name="l00170"></a>00170 using ::atanhl;
<a name="l00171"></a>00171
<a name="l00172"></a>00172 using ::cbrt;
<a name="l00173"></a>00173 using ::cbrtf;
<a name="l00174"></a>00174 using ::cbrtl;
<a name="l00175"></a>00175
<a name="l00176"></a>00176 using ::copysign;
<a name="l00177"></a>00177 using ::copysignf;
<a name="l00178"></a>00178 using ::copysignl;
<a name="l00179"></a>00179
<a name="l00180"></a>00180 using ::erf;
<a name="l00181"></a>00181 using ::erff;
<a name="l00182"></a>00182 using ::erfl;
<a name="l00183"></a>00183
<a name="l00184"></a>00184 using ::erfc;
<a name="l00185"></a>00185 using ::erfcf;
<a name="l00186"></a>00186 using ::erfcl;
<a name="l00187"></a>00187
<a name="l00188"></a>00188 using ::exp2;
<a name="l00189"></a>00189 using ::exp2f;
<a name="l00190"></a>00190 using ::exp2l;
<a name="l00191"></a>00191
<a name="l00192"></a>00192 using ::expm1;
<a name="l00193"></a>00193 using ::expm1f;
<a name="l00194"></a>00194 using ::expm1l;
<a name="l00195"></a>00195
<a name="l00196"></a>00196 using ::fdim;
<a name="l00197"></a>00197 using ::fdimf;
<a name="l00198"></a>00198 using ::fdiml;
<a name="l00199"></a>00199
<a name="l00200"></a>00200 using ::fma;
<a name="l00201"></a>00201 using ::fmaf;
<a name="l00202"></a>00202 using ::fmal;
<a name="l00203"></a>00203
<a name="l00204"></a>00204 using ::fmax;
<a name="l00205"></a>00205 using ::fmaxf;
<a name="l00206"></a>00206 using ::fmaxl;
<a name="l00207"></a>00207
<a name="l00208"></a>00208 using ::fmin;
<a name="l00209"></a>00209 using ::fminf;
<a name="l00210"></a>00210 using ::fminl;
<a name="l00211"></a>00211
<a name="l00212"></a>00212 using ::hypot;
<a name="l00213"></a>00213 using ::hypotf;
<a name="l00214"></a>00214 using ::hypotl;
<a name="l00215"></a>00215
<a name="l00216"></a>00216 using ::ilogb;
<a name="l00217"></a>00217 using ::ilogbf;
<a name="l00218"></a>00218 using ::ilogbl;
<a name="l00219"></a>00219
<a name="l00220"></a>00220 using ::lgamma;
<a name="l00221"></a>00221 using ::lgammaf;
<a name="l00222"></a>00222 using ::lgammal;
<a name="l00223"></a>00223
<a name="l00224"></a>00224 using ::llrint;
<a name="l00225"></a>00225 using ::llrintf;
<a name="l00226"></a>00226 using ::llrintl;
<a name="l00227"></a>00227
<a name="l00228"></a>00228 using ::llround;
<a name="l00229"></a>00229 using ::llroundf;
<a name="l00230"></a>00230 using ::llroundl;
<a name="l00231"></a>00231
<a name="l00232"></a>00232 using ::log1p;
<a name="l00233"></a>00233 using ::log1pf;
<a name="l00234"></a>00234 using ::log1pl;
<a name="l00235"></a>00235
<a name="l00236"></a>00236 using ::log2;
<a name="l00237"></a>00237 using ::log2f;
<a name="l00238"></a>00238 using ::log2l;
<a name="l00239"></a>00239
<a name="l00240"></a>00240 using ::logb;
<a name="l00241"></a>00241 using ::logbf;
<a name="l00242"></a>00242 using ::logbl;
<a name="l00243"></a>00243
<a name="l00244"></a>00244 using ::lrint;
<a name="l00245"></a>00245 using ::lrintf;
<a name="l00246"></a>00246 using ::lrintl;
<a name="l00247"></a>00247
<a name="l00248"></a>00248 using ::lround;
<a name="l00249"></a>00249 using ::lroundf;
<a name="l00250"></a>00250 using ::lroundl;
<a name="l00251"></a>00251
<a name="l00252"></a>00252 using ::nan;
<a name="l00253"></a>00253 using ::nanf;
<a name="l00254"></a>00254 using ::nanl;
<a name="l00255"></a>00255
<a name="l00256"></a>00256 using ::nearbyint;
<a name="l00257"></a>00257 using ::nearbyintf;
<a name="l00258"></a>00258 using ::nearbyintl;
<a name="l00259"></a>00259
<a name="l00260"></a>00260 using ::nextafter;
<a name="l00261"></a>00261 using ::nextafterf;
<a name="l00262"></a>00262 using ::nextafterl;
<a name="l00263"></a>00263
<a name="l00264"></a>00264 using ::nexttoward;
<a name="l00265"></a>00265 using ::nexttowardf;
<a name="l00266"></a>00266 using ::nexttowardl;
<a name="l00267"></a>00267
<a name="l00268"></a>00268 using ::remainder;
<a name="l00269"></a>00269 using ::remainderf;
<a name="l00270"></a>00270 using ::remainderl;
<a name="l00271"></a>00271
<a name="l00272"></a>00272 using ::remquo;
<a name="l00273"></a>00273 using ::remquof;
<a name="l00274"></a>00274 using ::remquol;
<a name="l00275"></a>00275
<a name="l00276"></a>00276 using ::rint;
<a name="l00277"></a>00277 using ::rintf;
<a name="l00278"></a>00278 using ::rintl;
<a name="l00279"></a>00279
<a name="l00280"></a>00280 using ::round;
<a name="l00281"></a>00281 using ::roundf;
<a name="l00282"></a>00282 using ::roundl;
<a name="l00283"></a>00283
<a name="l00284"></a>00284 using ::scalbln;
<a name="l00285"></a>00285 using ::scalblnf;
<a name="l00286"></a>00286 using ::scalblnl;
<a name="l00287"></a>00287
<a name="l00288"></a>00288 using ::scalbn;
<a name="l00289"></a>00289 using ::scalbnf;
<a name="l00290"></a>00290 using ::scalbnl;
<a name="l00291"></a>00291
<a name="l00292"></a>00292 using ::tgamma;
<a name="l00293"></a>00293 using ::tgammaf;
<a name="l00294"></a>00294 using ::tgammal;
<a name="l00295"></a>00295
<a name="l00296"></a>00296 using ::trunc;
<a name="l00297"></a>00297 using ::truncf;
<a name="l00298"></a>00298 using ::truncl;
<a name="l00299"></a>00299
<a name="l00300"></a>00300 <span class="preprocessor">#endif</span>
<a name="l00301"></a>00301 <span class="preprocessor"></span>
<a name="l00302"></a>00302 <span class="preprocessor">#if _GLIBCXX_USE_C99_MATH</span>
<a name="l00303"></a>00303 <span class="preprocessor"></span><span class="preprocessor">#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC</span>
<a name="l00304"></a>00304 <span class="preprocessor"></span><span class="comment"></span>
<a name="l00305"></a>00305 <span class="comment"> /// Function template definitions [8.16.3].</span>
<a name="l00306"></a>00306 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00307"></a>00307 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00308"></a>00308 <span class="keywordtype">int</span>>::__type
<a name="l00309"></a>00309 fpclassify(_Tp __f)
<a name="l00310"></a>00310 {
<a name="l00311"></a>00311 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00312"></a>00312 <span class="keywordflow">return</span> __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
<a name="l00313"></a>00313 FP_SUBNORMAL, FP_ZERO, __type(__f));
<a name="l00314"></a>00314 }
<a name="l00315"></a>00315
<a name="l00316"></a>00316 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00317"></a>00317 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00318"></a>00318 <span class="keywordtype">int</span>>::__type
<a name="l00319"></a>00319 isfinite(_Tp __f)
<a name="l00320"></a>00320 {
<a name="l00321"></a>00321 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00322"></a>00322 <span class="keywordflow">return</span> __builtin_isfinite(__type(__f));
<a name="l00323"></a>00323 }
<a name="l00324"></a>00324
<a name="l00325"></a>00325 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00326"></a>00326 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00327"></a>00327 <span class="keywordtype">int</span>>::__type
<a name="l00328"></a>00328 isinf(_Tp __f)
<a name="l00329"></a>00329 {
<a name="l00330"></a>00330 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00331"></a>00331 <span class="keywordflow">return</span> __builtin_isinf(__type(__f));
<a name="l00332"></a>00332 }
<a name="l00333"></a>00333
<a name="l00334"></a>00334 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00335"></a>00335 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00336"></a>00336 <span class="keywordtype">int</span>>::__type
<a name="l00337"></a>00337 isnan(_Tp __f)
<a name="l00338"></a>00338 {
<a name="l00339"></a>00339 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00340"></a>00340 <span class="keywordflow">return</span> __builtin_isnan(__type(__f));
<a name="l00341"></a>00341 }
<a name="l00342"></a>00342
<a name="l00343"></a>00343 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00344"></a>00344 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00345"></a>00345 <span class="keywordtype">int</span>>::__type
<a name="l00346"></a>00346 isnormal(_Tp __f)
<a name="l00347"></a>00347 {
<a name="l00348"></a>00348 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00349"></a>00349 <span class="keywordflow">return</span> __builtin_isnormal(__type(__f));
<a name="l00350"></a>00350 }
<a name="l00351"></a>00351
<a name="l00352"></a>00352 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00353"></a>00353 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00354"></a>00354 <span class="keywordtype">int</span>>::__type
<a name="l00355"></a>00355 signbit(_Tp __f)
<a name="l00356"></a>00356 {
<a name="l00357"></a>00357 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00358"></a>00358 <span class="keywordflow">return</span> __builtin_signbit(__type(__f));
<a name="l00359"></a>00359 }
<a name="l00360"></a>00360
<a name="l00361"></a>00361 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00362"></a>00362 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00363"></a>00363 <span class="keywordtype">int</span>>::__type
<a name="l00364"></a>00364 isgreater(_Tp __f1, _Tp __f2)
<a name="l00365"></a>00365 {
<a name="l00366"></a>00366 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00367"></a>00367 <span class="keywordflow">return</span> __builtin_isgreater(__type(__f1), __type(__f2));
<a name="l00368"></a>00368 }
<a name="l00369"></a>00369
<a name="l00370"></a>00370 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00371"></a>00371 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00372"></a>00372 <span class="keywordtype">int</span>>::__type
<a name="l00373"></a>00373 isgreaterequal(_Tp __f1, _Tp __f2)
<a name="l00374"></a>00374 {
<a name="l00375"></a>00375 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00376"></a>00376 <span class="keywordflow">return</span> __builtin_isgreaterequal(__type(__f1), __type(__f2));
<a name="l00377"></a>00377 }
<a name="l00378"></a>00378
<a name="l00379"></a>00379 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00380"></a>00380 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00381"></a>00381 <span class="keywordtype">int</span>>::__type
<a name="l00382"></a>00382 isless(_Tp __f1, _Tp __f2)
<a name="l00383"></a>00383 {
<a name="l00384"></a>00384 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00385"></a>00385 <span class="keywordflow">return</span> __builtin_isless(__type(__f1), __type(__f2));
<a name="l00386"></a>00386 }
<a name="l00387"></a>00387
<a name="l00388"></a>00388 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00389"></a>00389 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00390"></a>00390 <span class="keywordtype">int</span>>::__type
<a name="l00391"></a>00391 islessequal(_Tp __f1, _Tp __f2)
<a name="l00392"></a>00392 {
<a name="l00393"></a>00393 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00394"></a>00394 <span class="keywordflow">return</span> __builtin_islessequal(__type(__f1), __type(__f2));
<a name="l00395"></a>00395 }
<a name="l00396"></a>00396
<a name="l00397"></a>00397 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00398"></a>00398 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00399"></a>00399 <span class="keywordtype">int</span>>::__type
<a name="l00400"></a>00400 islessgreater(_Tp __f1, _Tp __f2)
<a name="l00401"></a>00401 {
<a name="l00402"></a>00402 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00403"></a>00403 <span class="keywordflow">return</span> __builtin_islessgreater(__type(__f1), __type(__f2));
<a name="l00404"></a>00404 }
<a name="l00405"></a>00405
<a name="l00406"></a>00406 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00407"></a>00407 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
<a name="l00408"></a>00408 <span class="keywordtype">int</span>>::__type
<a name="l00409"></a>00409 isunordered(_Tp __f1, _Tp __f2)
<a name="l00410"></a>00410 {
<a name="l00411"></a>00411 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00412"></a>00412 <span class="keywordflow">return</span> __builtin_isunordered(__type(__f1), __type(__f2));
<a name="l00413"></a>00413 }
<a name="l00414"></a>00414
<a name="l00415"></a>00415 <span class="preprocessor">#endif</span>
<a name="l00416"></a>00416 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00417"></a>00417 <span class="preprocessor"></span>
<a name="l00418"></a>00418 <span class="preprocessor">#if _GLIBCXX_USE_C99_MATH_TR1</span>
<a name="l00419"></a>00419 <span class="preprocessor"></span><span class="comment"></span>
<a name="l00420"></a>00420 <span class="comment"> /// Additional overloads [8.16.4].</span>
<a name="l00421"></a>00421 <span class="comment"></span> <span class="keyword">using</span> <a class="code" href="a01137.html#aa33f41ba070c7dca98feddae8478d05f" title="acos(__z) [8.1.2].">std::acos</a>;
<a name="l00422"></a>00422
<a name="l00423"></a>00423 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00424"></a>00424 <a class="code" href="a01166.html#ga496cae38112ee2d47973527c16d3989c" title="acosh(__z) [8.1.5].">acosh</a>(<span class="keywordtype">float</span> __x)
<a name="l00425"></a>00425 { <span class="keywordflow">return</span> __builtin_acoshf(__x); }
<a name="l00426"></a>00426
<a name="l00427"></a>00427 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00428"></a>00428 <a class="code" href="a01166.html#ga496cae38112ee2d47973527c16d3989c" title="acosh(__z) [8.1.5].">acosh</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00429"></a>00429 { <span class="keywordflow">return</span> __builtin_acoshl(__x); }
<a name="l00430"></a>00430
<a name="l00431"></a>00431 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00432"></a>00432 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00433"></a>00433 <a class="code" href="a01166.html#ga496cae38112ee2d47973527c16d3989c" title="acosh(__z) [8.1.5].">acosh</a>(_Tp __x)
<a name="l00434"></a>00434 {
<a name="l00435"></a>00435 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00436"></a>00436 <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga496cae38112ee2d47973527c16d3989c" title="acosh(__z) [8.1.5].">acosh</a>(__type(__x));
<a name="l00437"></a>00437 }
<a name="l00438"></a>00438
<a name="l00439"></a>00439 <span class="keyword">using</span> <a class="code" href="a01137.html#aba27f53347c5ac7fbb8d0f005b0d2c9e" title="asin(__z) [8.1.3].">std::asin</a>;
<a name="l00440"></a>00440
<a name="l00441"></a>00441 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00442"></a>00442 <a class="code" href="a01166.html#gaccfb0c47b8b37303d9664900e9ed8eb3" title="asinh(__z) [8.1.6].">asinh</a>(<span class="keywordtype">float</span> __x)
<a name="l00443"></a>00443 { <span class="keywordflow">return</span> __builtin_asinhf(__x); }
<a name="l00444"></a>00444
<a name="l00445"></a>00445 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00446"></a>00446 <a class="code" href="a01166.html#gaccfb0c47b8b37303d9664900e9ed8eb3" title="asinh(__z) [8.1.6].">asinh</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00447"></a>00447 { <span class="keywordflow">return</span> __builtin_asinhl(__x); }
<a name="l00448"></a>00448
<a name="l00449"></a>00449 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00450"></a>00450 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00451"></a>00451 <a class="code" href="a01166.html#gaccfb0c47b8b37303d9664900e9ed8eb3" title="asinh(__z) [8.1.6].">asinh</a>(_Tp __x)
<a name="l00452"></a>00452 {
<a name="l00453"></a>00453 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00454"></a>00454 <span class="keywordflow">return</span> <a class="code" href="a01166.html#gaccfb0c47b8b37303d9664900e9ed8eb3" title="asinh(__z) [8.1.6].">asinh</a>(__type(__x));
<a name="l00455"></a>00455 }
<a name="l00456"></a>00456
<a name="l00457"></a>00457 <span class="keyword">using</span> <a class="code" href="a01137.html#a681dbd3b939c8fa4036bc5b5640fe694" title="atan(__z) [8.1.4].">std::atan</a>;
<a name="l00458"></a>00458 <span class="keyword">using</span> std::atan2;
<a name="l00459"></a>00459
<a name="l00460"></a>00460 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00461"></a>00461 <a class="code" href="a01166.html#ga6f1c07cf0e3c3309162f5f3515976346" title="atanh(__z) [8.1.7].">atanh</a>(<span class="keywordtype">float</span> __x)
<a name="l00462"></a>00462 { <span class="keywordflow">return</span> __builtin_atanhf(__x); }
<a name="l00463"></a>00463
<a name="l00464"></a>00464 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00465"></a>00465 <a class="code" href="a01166.html#ga6f1c07cf0e3c3309162f5f3515976346" title="atanh(__z) [8.1.7].">atanh</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00466"></a>00466 { <span class="keywordflow">return</span> __builtin_atanhl(__x); }
<a name="l00467"></a>00467
<a name="l00468"></a>00468 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00469"></a>00469 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00470"></a>00470 <a class="code" href="a01166.html#ga6f1c07cf0e3c3309162f5f3515976346" title="atanh(__z) [8.1.7].">atanh</a>(_Tp __x)
<a name="l00471"></a>00471 {
<a name="l00472"></a>00472 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00473"></a>00473 <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga6f1c07cf0e3c3309162f5f3515976346" title="atanh(__z) [8.1.7].">atanh</a>(__type(__x));
<a name="l00474"></a>00474 }
<a name="l00475"></a>00475
<a name="l00476"></a>00476 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00477"></a>00477 cbrt(<span class="keywordtype">float</span> __x)
<a name="l00478"></a>00478 { <span class="keywordflow">return</span> __builtin_cbrtf(__x); }
<a name="l00479"></a>00479
<a name="l00480"></a>00480 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00481"></a>00481 cbrt(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00482"></a>00482 { <span class="keywordflow">return</span> __builtin_cbrtl(__x); }
<a name="l00483"></a>00483
<a name="l00484"></a>00484 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00485"></a>00485 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00486"></a>00486 cbrt(_Tp __x)
<a name="l00487"></a>00487 {
<a name="l00488"></a>00488 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00489"></a>00489 <span class="keywordflow">return</span> cbrt(__type(__x));
<a name="l00490"></a>00490 }
<a name="l00491"></a>00491
<a name="l00492"></a>00492 <span class="keyword">using</span> std::ceil;
<a name="l00493"></a>00493
<a name="l00494"></a>00494 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00495"></a>00495 copysign(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00496"></a>00496 { <span class="keywordflow">return</span> __builtin_copysignf(__x, __y); }
<a name="l00497"></a>00497
<a name="l00498"></a>00498 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00499"></a>00499 copysign(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00500"></a>00500 { <span class="keywordflow">return</span> __builtin_copysignl(__x, __y); }
<a name="l00501"></a>00501
<a name="l00502"></a>00502 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00503"></a>00503 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00504"></a>00504 copysign(_Tp __x, _Up __y)
<a name="l00505"></a>00505 {
<a name="l00506"></a>00506 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00507"></a>00507 <span class="keywordflow">return</span> copysign(__type(__x), __type(__y));
<a name="l00508"></a>00508 }
<a name="l00509"></a>00509
<a name="l00510"></a>00510 <span class="keyword">using</span> <a class="code" href="a01166.html#ga8fe0c591cf1bab2192beddb3a3187038" title="Return complex cosine of z.">std::cos</a>;
<a name="l00511"></a>00511 <span class="keyword">using</span> <a class="code" href="a01166.html#gad75b7cc323c4c2cbd40989d600a78724" title="Return complex hyperbolic cosine of z.">std::cosh</a>;
<a name="l00512"></a>00512
<a name="l00513"></a>00513 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00514"></a>00514 erf(<span class="keywordtype">float</span> __x)
<a name="l00515"></a>00515 { <span class="keywordflow">return</span> __builtin_erff(__x); }
<a name="l00516"></a>00516
<a name="l00517"></a>00517 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00518"></a>00518 erf(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00519"></a>00519 { <span class="keywordflow">return</span> __builtin_erfl(__x); }
<a name="l00520"></a>00520
<a name="l00521"></a>00521 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00522"></a>00522 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00523"></a>00523 erf(_Tp __x)
<a name="l00524"></a>00524 {
<a name="l00525"></a>00525 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00526"></a>00526 <span class="keywordflow">return</span> erf(__type(__x));
<a name="l00527"></a>00527 }
<a name="l00528"></a>00528
<a name="l00529"></a>00529 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00530"></a>00530 erfc(<span class="keywordtype">float</span> __x)
<a name="l00531"></a>00531 { <span class="keywordflow">return</span> __builtin_erfcf(__x); }
<a name="l00532"></a>00532
<a name="l00533"></a>00533 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00534"></a>00534 erfc(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00535"></a>00535 { <span class="keywordflow">return</span> __builtin_erfcl(__x); }
<a name="l00536"></a>00536
<a name="l00537"></a>00537 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00538"></a>00538 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00539"></a>00539 erfc(_Tp __x)
<a name="l00540"></a>00540 {
<a name="l00541"></a>00541 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00542"></a>00542 <span class="keywordflow">return</span> erfc(__type(__x));
<a name="l00543"></a>00543 }
<a name="l00544"></a>00544
<a name="l00545"></a>00545 <span class="keyword">using</span> <a class="code" href="a01166.html#gaf7fabc9daf4d84f8788dcdb52093fdf3" title="Return complex base e exponential of z.">std::exp</a>;
<a name="l00546"></a>00546
<a name="l00547"></a>00547 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00548"></a>00548 exp2(<span class="keywordtype">float</span> __x)
<a name="l00549"></a>00549 { <span class="keywordflow">return</span> __builtin_exp2f(__x); }
<a name="l00550"></a>00550
<a name="l00551"></a>00551 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00552"></a>00552 exp2(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00553"></a>00553 { <span class="keywordflow">return</span> __builtin_exp2l(__x); }
<a name="l00554"></a>00554
<a name="l00555"></a>00555 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00556"></a>00556 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00557"></a>00557 exp2(_Tp __x)
<a name="l00558"></a>00558 {
<a name="l00559"></a>00559 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00560"></a>00560 <span class="keywordflow">return</span> exp2(__type(__x));
<a name="l00561"></a>00561 }
<a name="l00562"></a>00562
<a name="l00563"></a>00563 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00564"></a>00564 expm1(<span class="keywordtype">float</span> __x)
<a name="l00565"></a>00565 { <span class="keywordflow">return</span> __builtin_expm1f(__x); }
<a name="l00566"></a>00566
<a name="l00567"></a>00567 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00568"></a>00568 expm1(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00569"></a>00569 { <span class="keywordflow">return</span> __builtin_expm1l(__x); }
<a name="l00570"></a>00570
<a name="l00571"></a>00571 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00572"></a>00572 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00573"></a>00573 expm1(_Tp __x)
<a name="l00574"></a>00574 {
<a name="l00575"></a>00575 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00576"></a>00576 <span class="keywordflow">return</span> expm1(__type(__x));
<a name="l00577"></a>00577 }
<a name="l00578"></a>00578
<a name="l00579"></a>00579 <span class="comment">// Note: we deal with fabs in a special way, because an using std::fabs</span>
<a name="l00580"></a>00580 <span class="comment">// would bring in also the overloads for complex types, which in C++0x</span>
<a name="l00581"></a>00581 <span class="comment">// mode have a different return type.</span>
<a name="l00582"></a>00582 <a class="code" href="a01166.html#gabf8c792acf8c82d8cd4dbcf4d4a95132" title="fabs(__z) [8.1.8].">using ::fabs</a>;
<a name="l00583"></a>00583
<a name="l00584"></a>00584 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00585"></a>00585 <a class="code" href="a01166.html#gabf8c792acf8c82d8cd4dbcf4d4a95132" title="fabs(__z) [8.1.8].">fabs</a>(<span class="keywordtype">float</span> __x)
<a name="l00586"></a>00586 { <span class="keywordflow">return</span> __builtin_fabsf(__x); }
<a name="l00587"></a>00587
<a name="l00588"></a>00588 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00589"></a>00589 <a class="code" href="a01166.html#gabf8c792acf8c82d8cd4dbcf4d4a95132" title="fabs(__z) [8.1.8].">fabs</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00590"></a>00590 { <span class="keywordflow">return</span> __builtin_fabsl(__x); }
<a name="l00591"></a>00591
<a name="l00592"></a>00592 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00593"></a>00593 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
<a name="l00594"></a>00594 <span class="keywordtype">double</span>>::__type
<a name="l00595"></a>00595 <a class="code" href="a01166.html#gabf8c792acf8c82d8cd4dbcf4d4a95132" title="fabs(__z) [8.1.8].">fabs</a>(_Tp __x)
<a name="l00596"></a>00596 { <span class="keywordflow">return</span> __builtin_fabs(__x); }
<a name="l00597"></a>00597
<a name="l00598"></a>00598 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00599"></a>00599 fdim(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00600"></a>00600 { <span class="keywordflow">return</span> __builtin_fdimf(__x, __y); }
<a name="l00601"></a>00601
<a name="l00602"></a>00602 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00603"></a>00603 fdim(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00604"></a>00604 { <span class="keywordflow">return</span> __builtin_fdiml(__x, __y); }
<a name="l00605"></a>00605
<a name="l00606"></a>00606 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00607"></a>00607 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00608"></a>00608 fdim(_Tp __x, _Up __y)
<a name="l00609"></a>00609 {
<a name="l00610"></a>00610 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00611"></a>00611 <span class="keywordflow">return</span> fdim(__type(__x), __type(__y));
<a name="l00612"></a>00612 }
<a name="l00613"></a>00613
<a name="l00614"></a>00614 <span class="keyword">using</span> std::floor;
<a name="l00615"></a>00615
<a name="l00616"></a>00616 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00617"></a>00617 fma(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y, <span class="keywordtype">float</span> __z)
<a name="l00618"></a>00618 { <span class="keywordflow">return</span> __builtin_fmaf(__x, __y, __z); }
<a name="l00619"></a>00619
<a name="l00620"></a>00620 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00621"></a>00621 fma(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __z)
<a name="l00622"></a>00622 { <span class="keywordflow">return</span> __builtin_fmal(__x, __y, __z); }
<a name="l00623"></a>00623
<a name="l00624"></a>00624 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up, <span class="keyword">typename</span> _Vp>
<a name="l00625"></a>00625 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
<a name="l00626"></a>00626 fma(_Tp __x, _Up __y, _Vp __z)
<a name="l00627"></a>00627 {
<a name="l00628"></a>00628 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
<a name="l00629"></a>00629 <span class="keywordflow">return</span> fma(__type(__x), __type(__y), __type(__z));
<a name="l00630"></a>00630 }
<a name="l00631"></a>00631
<a name="l00632"></a>00632 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00633"></a>00633 fmax(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00634"></a>00634 { <span class="keywordflow">return</span> __builtin_fmaxf(__x, __y); }
<a name="l00635"></a>00635
<a name="l00636"></a>00636 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00637"></a>00637 fmax(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00638"></a>00638 { <span class="keywordflow">return</span> __builtin_fmaxl(__x, __y); }
<a name="l00639"></a>00639
<a name="l00640"></a>00640 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00641"></a>00641 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00642"></a>00642 fmax(_Tp __x, _Up __y)
<a name="l00643"></a>00643 {
<a name="l00644"></a>00644 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00645"></a>00645 <span class="keywordflow">return</span> fmax(__type(__x), __type(__y));
<a name="l00646"></a>00646 }
<a name="l00647"></a>00647
<a name="l00648"></a>00648 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00649"></a>00649 fmin(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00650"></a>00650 { <span class="keywordflow">return</span> __builtin_fminf(__x, __y); }
<a name="l00651"></a>00651
<a name="l00652"></a>00652 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00653"></a>00653 fmin(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00654"></a>00654 { <span class="keywordflow">return</span> __builtin_fminl(__x, __y); }
<a name="l00655"></a>00655
<a name="l00656"></a>00656 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00657"></a>00657 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00658"></a>00658 fmin(_Tp __x, _Up __y)
<a name="l00659"></a>00659 {
<a name="l00660"></a>00660 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00661"></a>00661 <span class="keywordflow">return</span> fmin(__type(__x), __type(__y));
<a name="l00662"></a>00662 }
<a name="l00663"></a>00663
<a name="l00664"></a>00664 <span class="keyword">using</span> std::fmod;
<a name="l00665"></a>00665 <span class="keyword">using</span> std::frexp;
<a name="l00666"></a>00666
<a name="l00667"></a>00667 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00668"></a>00668 hypot(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00669"></a>00669 { <span class="keywordflow">return</span> __builtin_hypotf(__x, __y); }
<a name="l00670"></a>00670
<a name="l00671"></a>00671 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00672"></a>00672 hypot(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00673"></a>00673 { <span class="keywordflow">return</span> __builtin_hypotl(__x, __y); }
<a name="l00674"></a>00674
<a name="l00675"></a>00675 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00676"></a>00676 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00677"></a>00677 hypot(_Tp __x, _Up __y)
<a name="l00678"></a>00678 {
<a name="l00679"></a>00679 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00680"></a>00680 <span class="keywordflow">return</span> hypot(__type(__x), __type(__y));
<a name="l00681"></a>00681 }
<a name="l00682"></a>00682
<a name="l00683"></a>00683 <span class="keyword">inline</span> <span class="keywordtype">int</span>
<a name="l00684"></a>00684 ilogb(<span class="keywordtype">float</span> __x)
<a name="l00685"></a>00685 { <span class="keywordflow">return</span> __builtin_ilogbf(__x); }
<a name="l00686"></a>00686
<a name="l00687"></a>00687 <span class="keyword">inline</span> <span class="keywordtype">int</span>
<a name="l00688"></a>00688 ilogb(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00689"></a>00689 { <span class="keywordflow">return</span> __builtin_ilogbl(__x); }
<a name="l00690"></a>00690
<a name="l00691"></a>00691 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00692"></a>00692 <span class="keyword">inline</span> <span class="keywordtype">int</span>
<a name="l00693"></a>00693 ilogb(_Tp __x)
<a name="l00694"></a>00694 {
<a name="l00695"></a>00695 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00696"></a>00696 <span class="keywordflow">return</span> ilogb(__type(__x));
<a name="l00697"></a>00697 }
<a name="l00698"></a>00698
<a name="l00699"></a>00699 <span class="keyword">using</span> std::ldexp;
<a name="l00700"></a>00700
<a name="l00701"></a>00701 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00702"></a>00702 lgamma(<span class="keywordtype">float</span> __x)
<a name="l00703"></a>00703 { <span class="keywordflow">return</span> __builtin_lgammaf(__x); }
<a name="l00704"></a>00704
<a name="l00705"></a>00705 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00706"></a>00706 lgamma(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00707"></a>00707 { <span class="keywordflow">return</span> __builtin_lgammal(__x); }
<a name="l00708"></a>00708
<a name="l00709"></a>00709 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00710"></a>00710 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00711"></a>00711 lgamma(_Tp __x)
<a name="l00712"></a>00712 {
<a name="l00713"></a>00713 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00714"></a>00714 <span class="keywordflow">return</span> lgamma(__type(__x));
<a name="l00715"></a>00715 }
<a name="l00716"></a>00716
<a name="l00717"></a>00717 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00718"></a>00718 llrint(<span class="keywordtype">float</span> __x)
<a name="l00719"></a>00719 { <span class="keywordflow">return</span> __builtin_llrintf(__x); }
<a name="l00720"></a>00720
<a name="l00721"></a>00721 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00722"></a>00722 llrint(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00723"></a>00723 { <span class="keywordflow">return</span> __builtin_llrintl(__x); }
<a name="l00724"></a>00724
<a name="l00725"></a>00725 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00726"></a>00726 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00727"></a>00727 llrint(_Tp __x)
<a name="l00728"></a>00728 {
<a name="l00729"></a>00729 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00730"></a>00730 <span class="keywordflow">return</span> llrint(__type(__x));
<a name="l00731"></a>00731 }
<a name="l00732"></a>00732
<a name="l00733"></a>00733 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00734"></a>00734 llround(<span class="keywordtype">float</span> __x)
<a name="l00735"></a>00735 { <span class="keywordflow">return</span> __builtin_llroundf(__x); }
<a name="l00736"></a>00736
<a name="l00737"></a>00737 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00738"></a>00738 llround(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00739"></a>00739 { <span class="keywordflow">return</span> __builtin_llroundl(__x); }
<a name="l00740"></a>00740
<a name="l00741"></a>00741 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00742"></a>00742 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>
<a name="l00743"></a>00743 llround(_Tp __x)
<a name="l00744"></a>00744 {
<a name="l00745"></a>00745 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00746"></a>00746 <span class="keywordflow">return</span> llround(__type(__x));
<a name="l00747"></a>00747 }
<a name="l00748"></a>00748
<a name="l00749"></a>00749 <span class="keyword">using</span> <a class="code" href="a01166.html#ga97020915990dc5850b6b0f4c416e576f" title="Return complex natural logarithm of z.">std::log</a>;
<a name="l00750"></a>00750 <span class="keyword">using</span> <a class="code" href="a01166.html#ga51e20d511aea79f28d9682d0eb4d1f65" title="Return complex base 10 logarithm of z.">std::log10</a>;
<a name="l00751"></a>00751
<a name="l00752"></a>00752 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00753"></a>00753 log1p(<span class="keywordtype">float</span> __x)
<a name="l00754"></a>00754 { <span class="keywordflow">return</span> __builtin_log1pf(__x); }
<a name="l00755"></a>00755
<a name="l00756"></a>00756 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00757"></a>00757 log1p(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00758"></a>00758 { <span class="keywordflow">return</span> __builtin_log1pl(__x); }
<a name="l00759"></a>00759
<a name="l00760"></a>00760 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00761"></a>00761 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00762"></a>00762 log1p(_Tp __x)
<a name="l00763"></a>00763 {
<a name="l00764"></a>00764 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00765"></a>00765 <span class="keywordflow">return</span> log1p(__type(__x));
<a name="l00766"></a>00766 }
<a name="l00767"></a>00767
<a name="l00768"></a>00768 <span class="comment">// DR 568.</span>
<a name="l00769"></a>00769 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00770"></a>00770 log2(<span class="keywordtype">float</span> __x)
<a name="l00771"></a>00771 { <span class="keywordflow">return</span> __builtin_log2f(__x); }
<a name="l00772"></a>00772
<a name="l00773"></a>00773 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00774"></a>00774 log2(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00775"></a>00775 { <span class="keywordflow">return</span> __builtin_log2l(__x); }
<a name="l00776"></a>00776
<a name="l00777"></a>00777 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00778"></a>00778 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00779"></a>00779 log2(_Tp __x)
<a name="l00780"></a>00780 {
<a name="l00781"></a>00781 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00782"></a>00782 <span class="keywordflow">return</span> log2(__type(__x));
<a name="l00783"></a>00783 }
<a name="l00784"></a>00784
<a name="l00785"></a>00785 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00786"></a>00786 logb(<span class="keywordtype">float</span> __x)
<a name="l00787"></a>00787 { <span class="keywordflow">return</span> __builtin_logbf(__x); }
<a name="l00788"></a>00788
<a name="l00789"></a>00789 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00790"></a>00790 logb(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00791"></a>00791 { <span class="keywordflow">return</span> __builtin_logbl(__x); }
<a name="l00792"></a>00792
<a name="l00793"></a>00793 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00794"></a>00794 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00795"></a>00795 logb(_Tp __x)
<a name="l00796"></a>00796 {
<a name="l00797"></a>00797 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00798"></a>00798 <span class="keywordflow">return</span> logb(__type(__x));
<a name="l00799"></a>00799 }
<a name="l00800"></a>00800
<a name="l00801"></a>00801 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00802"></a>00802 lrint(<span class="keywordtype">float</span> __x)
<a name="l00803"></a>00803 { <span class="keywordflow">return</span> __builtin_lrintf(__x); }
<a name="l00804"></a>00804
<a name="l00805"></a>00805 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00806"></a>00806 lrint(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00807"></a>00807 { <span class="keywordflow">return</span> __builtin_lrintl(__x); }
<a name="l00808"></a>00808
<a name="l00809"></a>00809 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00810"></a>00810 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00811"></a>00811 lrint(_Tp __x)
<a name="l00812"></a>00812 {
<a name="l00813"></a>00813 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00814"></a>00814 <span class="keywordflow">return</span> lrint(__type(__x));
<a name="l00815"></a>00815 }
<a name="l00816"></a>00816
<a name="l00817"></a>00817 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00818"></a>00818 lround(<span class="keywordtype">float</span> __x)
<a name="l00819"></a>00819 { <span class="keywordflow">return</span> __builtin_lroundf(__x); }
<a name="l00820"></a>00820
<a name="l00821"></a>00821 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00822"></a>00822 lround(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00823"></a>00823 { <span class="keywordflow">return</span> __builtin_lroundl(__x); }
<a name="l00824"></a>00824
<a name="l00825"></a>00825 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00826"></a>00826 <span class="keyword">inline</span> <span class="keywordtype">long</span>
<a name="l00827"></a>00827 lround(_Tp __x)
<a name="l00828"></a>00828 {
<a name="l00829"></a>00829 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00830"></a>00830 <span class="keywordflow">return</span> lround(__type(__x));
<a name="l00831"></a>00831 }
<a name="l00832"></a>00832
<a name="l00833"></a>00833 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00834"></a>00834 nearbyint(<span class="keywordtype">float</span> __x)
<a name="l00835"></a>00835 { <span class="keywordflow">return</span> __builtin_nearbyintf(__x); }
<a name="l00836"></a>00836
<a name="l00837"></a>00837 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00838"></a>00838 nearbyint(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00839"></a>00839 { <span class="keywordflow">return</span> __builtin_nearbyintl(__x); }
<a name="l00840"></a>00840
<a name="l00841"></a>00841 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00842"></a>00842 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00843"></a>00843 nearbyint(_Tp __x)
<a name="l00844"></a>00844 {
<a name="l00845"></a>00845 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00846"></a>00846 <span class="keywordflow">return</span> nearbyint(__type(__x));
<a name="l00847"></a>00847 }
<a name="l00848"></a>00848
<a name="l00849"></a>00849 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00850"></a>00850 nextafter(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00851"></a>00851 { <span class="keywordflow">return</span> __builtin_nextafterf(__x, __y); }
<a name="l00852"></a>00852
<a name="l00853"></a>00853 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00854"></a>00854 nextafter(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00855"></a>00855 { <span class="keywordflow">return</span> __builtin_nextafterl(__x, __y); }
<a name="l00856"></a>00856
<a name="l00857"></a>00857 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00858"></a>00858 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00859"></a>00859 nextafter(_Tp __x, _Up __y)
<a name="l00860"></a>00860 {
<a name="l00861"></a>00861 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00862"></a>00862 <span class="keywordflow">return</span> nextafter(__type(__x), __type(__y));
<a name="l00863"></a>00863 }
<a name="l00864"></a>00864
<a name="l00865"></a>00865 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00866"></a>00866 nexttoward(<span class="keywordtype">float</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00867"></a>00867 { <span class="keywordflow">return</span> __builtin_nexttowardf(__x, __y); }
<a name="l00868"></a>00868
<a name="l00869"></a>00869 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00870"></a>00870 nexttoward(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00871"></a>00871 { <span class="keywordflow">return</span> __builtin_nexttowardl(__x, __y); }
<a name="l00872"></a>00872
<a name="l00873"></a>00873 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00874"></a>00874 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00875"></a>00875 nexttoward(_Tp __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00876"></a>00876 {
<a name="l00877"></a>00877 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00878"></a>00878 <span class="keywordflow">return</span> nexttoward(__type(__x), __y);
<a name="l00879"></a>00879 }
<a name="l00880"></a>00880
<a name="l00881"></a>00881 <span class="comment">// DR 550. What should the return type of pow(float,int) be?</span>
<a name="l00882"></a>00882 <span class="comment">// NB: C++0x and TR1 != C++03.</span>
<a name="l00883"></a>00883 <span class="comment">// using std::pow;</span>
<a name="l00884"></a>00884
<a name="l00885"></a>00885 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00886"></a>00886 remainder(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l00887"></a>00887 { <span class="keywordflow">return</span> __builtin_remainderf(__x, __y); }
<a name="l00888"></a>00888
<a name="l00889"></a>00889 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00890"></a>00890 remainder(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l00891"></a>00891 { <span class="keywordflow">return</span> __builtin_remainderl(__x, __y); }
<a name="l00892"></a>00892
<a name="l00893"></a>00893 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00894"></a>00894 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00895"></a>00895 remainder(_Tp __x, _Up __y)
<a name="l00896"></a>00896 {
<a name="l00897"></a>00897 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00898"></a>00898 <span class="keywordflow">return</span> remainder(__type(__x), __type(__y));
<a name="l00899"></a>00899 }
<a name="l00900"></a>00900
<a name="l00901"></a>00901 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00902"></a>00902 remquo(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y, <span class="keywordtype">int</span>* __pquo)
<a name="l00903"></a>00903 { <span class="keywordflow">return</span> __builtin_remquof(__x, __y, __pquo); }
<a name="l00904"></a>00904
<a name="l00905"></a>00905 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00906"></a>00906 remquo(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y, <span class="keywordtype">int</span>* __pquo)
<a name="l00907"></a>00907 { <span class="keywordflow">return</span> __builtin_remquol(__x, __y, __pquo); }
<a name="l00908"></a>00908
<a name="l00909"></a>00909 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l00910"></a>00910 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l00911"></a>00911 remquo(_Tp __x, _Up __y, <span class="keywordtype">int</span>* __pquo)
<a name="l00912"></a>00912 {
<a name="l00913"></a>00913 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l00914"></a>00914 <span class="keywordflow">return</span> remquo(__type(__x), __type(__y), __pquo);
<a name="l00915"></a>00915 }
<a name="l00916"></a>00916
<a name="l00917"></a>00917 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00918"></a>00918 rint(<span class="keywordtype">float</span> __x)
<a name="l00919"></a>00919 { <span class="keywordflow">return</span> __builtin_rintf(__x); }
<a name="l00920"></a>00920
<a name="l00921"></a>00921 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00922"></a>00922 rint(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00923"></a>00923 { <span class="keywordflow">return</span> __builtin_rintl(__x); }
<a name="l00924"></a>00924
<a name="l00925"></a>00925 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00926"></a>00926 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00927"></a>00927 rint(_Tp __x)
<a name="l00928"></a>00928 {
<a name="l00929"></a>00929 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00930"></a>00930 <span class="keywordflow">return</span> rint(__type(__x));
<a name="l00931"></a>00931 }
<a name="l00932"></a>00932
<a name="l00933"></a>00933 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00934"></a>00934 round(<span class="keywordtype">float</span> __x)
<a name="l00935"></a>00935 { <span class="keywordflow">return</span> __builtin_roundf(__x); }
<a name="l00936"></a>00936
<a name="l00937"></a>00937 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00938"></a>00938 round(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00939"></a>00939 { <span class="keywordflow">return</span> __builtin_roundl(__x); }
<a name="l00940"></a>00940
<a name="l00941"></a>00941 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00942"></a>00942 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00943"></a>00943 round(_Tp __x)
<a name="l00944"></a>00944 {
<a name="l00945"></a>00945 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00946"></a>00946 <span class="keywordflow">return</span> round(__type(__x));
<a name="l00947"></a>00947 }
<a name="l00948"></a>00948
<a name="l00949"></a>00949 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00950"></a>00950 scalbln(<span class="keywordtype">float</span> __x, <span class="keywordtype">long</span> __ex)
<a name="l00951"></a>00951 { <span class="keywordflow">return</span> __builtin_scalblnf(__x, __ex); }
<a name="l00952"></a>00952
<a name="l00953"></a>00953 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00954"></a>00954 scalbln(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> __ex)
<a name="l00955"></a>00955 { <span class="keywordflow">return</span> __builtin_scalblnl(__x, __ex); }
<a name="l00956"></a>00956
<a name="l00957"></a>00957 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00958"></a>00958 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00959"></a>00959 scalbln(_Tp __x, <span class="keywordtype">long</span> __ex)
<a name="l00960"></a>00960 {
<a name="l00961"></a>00961 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00962"></a>00962 <span class="keywordflow">return</span> scalbln(__type(__x), __ex);
<a name="l00963"></a>00963 }
<a name="l00964"></a>00964
<a name="l00965"></a>00965 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00966"></a>00966 scalbn(<span class="keywordtype">float</span> __x, <span class="keywordtype">int</span> __ex)
<a name="l00967"></a>00967 { <span class="keywordflow">return</span> __builtin_scalbnf(__x, __ex); }
<a name="l00968"></a>00968
<a name="l00969"></a>00969 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00970"></a>00970 scalbn(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">int</span> __ex)
<a name="l00971"></a>00971 { <span class="keywordflow">return</span> __builtin_scalbnl(__x, __ex); }
<a name="l00972"></a>00972
<a name="l00973"></a>00973 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00974"></a>00974 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00975"></a>00975 scalbn(_Tp __x, <span class="keywordtype">int</span> __ex)
<a name="l00976"></a>00976 {
<a name="l00977"></a>00977 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l00978"></a>00978 <span class="keywordflow">return</span> scalbn(__type(__x), __ex);
<a name="l00979"></a>00979 }
<a name="l00980"></a>00980
<a name="l00981"></a>00981 <span class="keyword">using</span> <a class="code" href="a01166.html#ga538267a93ea82ee5a08c4842e9463d0e" title="Return complex sine of z.">std::sin</a>;
<a name="l00982"></a>00982 <span class="keyword">using</span> <a class="code" href="a01166.html#ga60c3e35cb5ea1666ffb9141af88cec56" title="Return complex hyperbolic sine of z.">std::sinh</a>;
<a name="l00983"></a>00983 <span class="keyword">using</span> <a class="code" href="a01166.html#ga89cb35e6f4f090131a0c705c1b83a120" title="Return complex square root of z.">std::sqrt</a>;
<a name="l00984"></a>00984 <span class="keyword">using</span> <a class="code" href="a01166.html#gae250a1c7703b9038a3f449580a6714bb" title="Return complex tangent of z.">std::tan</a>;
<a name="l00985"></a>00985 <span class="keyword">using</span> <a class="code" href="a01166.html#ga5f569336451ffefdf8ec0d44fbcd451f" title="Return complex hyperbolic tangent of z.">std::tanh</a>;
<a name="l00986"></a>00986
<a name="l00987"></a>00987 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l00988"></a>00988 tgamma(<span class="keywordtype">float</span> __x)
<a name="l00989"></a>00989 { <span class="keywordflow">return</span> __builtin_tgammaf(__x); }
<a name="l00990"></a>00990
<a name="l00991"></a>00991 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l00992"></a>00992 tgamma(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l00993"></a>00993 { <span class="keywordflow">return</span> __builtin_tgammal(__x); }
<a name="l00994"></a>00994
<a name="l00995"></a>00995 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l00996"></a>00996 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l00997"></a>00997 tgamma(_Tp __x)
<a name="l00998"></a>00998 {
<a name="l00999"></a>00999 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01000"></a>01000 <span class="keywordflow">return</span> tgamma(__type(__x));
<a name="l01001"></a>01001 }
<a name="l01002"></a>01002
<a name="l01003"></a>01003 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01004"></a>01004 trunc(<span class="keywordtype">float</span> __x)
<a name="l01005"></a>01005 { <span class="keywordflow">return</span> __builtin_truncf(__x); }
<a name="l01006"></a>01006
<a name="l01007"></a>01007 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01008"></a>01008 trunc(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01009"></a>01009 { <span class="keywordflow">return</span> __builtin_truncl(__x); }
<a name="l01010"></a>01010
<a name="l01011"></a>01011 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01012"></a>01012 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01013"></a>01013 trunc(_Tp __x)
<a name="l01014"></a>01014 {
<a name="l01015"></a>01015 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01016"></a>01016 <span class="keywordflow">return</span> trunc(__type(__x));
<a name="l01017"></a>01017 }
<a name="l01018"></a>01018
<a name="l01019"></a>01019 <span class="preprocessor">#endif</span>
<a name="l01020"></a>01020 <span class="preprocessor"></span>_GLIBCXX_END_NAMESPACE_VERSION
<a name="l01021"></a>01021 }
<a name="l01022"></a>01022 }
<a name="l01023"></a>01023
<a name="l01024"></a>01024 <span class="keyword">namespace </span>std _GLIBCXX_VISIBILITY(default)
<a name="l01025"></a>01025 {
<a name="l01026"></a>01026 <span class="keyword">namespace </span>tr1
<a name="l01027"></a>01027 {
<a name="l01028"></a>01028 _GLIBCXX_BEGIN_NAMESPACE_VERSION
<a name="l01029"></a>01029
<a name="l01030"></a>01030 <span class="comment">// DR 550. What should the return type of pow(float,int) be?</span>
<a name="l01031"></a>01031 <span class="comment">// NB: C++0x and TR1 != C++03.</span>
<a name="l01032"></a>01032 <span class="keyword">inline</span> <span class="keywordtype">double</span>
<a name="l01033"></a>01033 <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">pow</a>(<span class="keywordtype">double</span> __x, <span class="keywordtype">double</span> __y)
<a name="l01034"></a>01034 { <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">std::pow</a>(__x, __y); }
<a name="l01035"></a>01035
<a name="l01036"></a>01036 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01037"></a>01037 <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">pow</a>(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l01038"></a>01038 { <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">std::pow</a>(__x, __y); }
<a name="l01039"></a>01039
<a name="l01040"></a>01040 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01041"></a>01041 <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">pow</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l01042"></a>01042 { <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">std::pow</a>(__x, __y); }
<a name="l01043"></a>01043
<a name="l01044"></a>01044 <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Up>
<a name="l01045"></a>01045 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type
<a name="l01046"></a>01046 <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">pow</a>(_Tp __x, _Up __y)
<a name="l01047"></a>01047 {
<a name="l01048"></a>01048 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
<a name="l01049"></a>01049 <span class="keywordflow">return</span> <a class="code" href="a01166.html#ga64bbff37dd729c989dd296295e11870b" title="Return x to the y'th power.">std::pow</a>(__type(__x), __type(__y));
<a name="l01050"></a>01050 }
<a name="l01051"></a>01051
<a name="l01052"></a>01052 _GLIBCXX_END_NAMESPACE_VERSION
<a name="l01053"></a>01053 }
<a name="l01054"></a>01054 }
<a name="l01055"></a>01055
<a name="l01056"></a>01056 <span class="preprocessor">#include <<a class="code" href="a01046.html">bits/stl_algobase.h</a>></span>
<a name="l01057"></a>01057 <span class="preprocessor">#include <<a class="code" href="a00918.html">limits</a>></span>
<a name="l01058"></a>01058 <span class="preprocessor">#include <tr1/type_traits></span>
<a name="l01059"></a>01059
<a name="l01060"></a>01060 <span class="preprocessor">#include <tr1/gamma.tcc></span>
<a name="l01061"></a>01061 <span class="preprocessor">#include <tr1/bessel_function.tcc></span>
<a name="l01062"></a>01062 <span class="preprocessor">#include <tr1/beta_function.tcc></span>
<a name="l01063"></a>01063 <span class="preprocessor">#include <tr1/ell_integral.tcc></span>
<a name="l01064"></a>01064 <span class="preprocessor">#include <tr1/exp_integral.tcc></span>
<a name="l01065"></a>01065 <span class="preprocessor">#include <tr1/hypergeometric.tcc></span>
<a name="l01066"></a>01066 <span class="preprocessor">#include <tr1/legendre_function.tcc></span>
<a name="l01067"></a>01067 <span class="preprocessor">#include <tr1/modified_bessel_func.tcc></span>
<a name="l01068"></a>01068 <span class="preprocessor">#include <tr1/poly_hermite.tcc></span>
<a name="l01069"></a>01069 <span class="preprocessor">#include <tr1/poly_laguerre.tcc></span>
<a name="l01070"></a>01070 <span class="preprocessor">#include <tr1/riemann_zeta.tcc></span>
<a name="l01071"></a>01071
<a name="l01072"></a>01072 <span class="keyword">namespace </span>std _GLIBCXX_VISIBILITY(default)
<a name="l01073"></a>01073 {
<a name="l01074"></a>01074 <span class="keyword">namespace </span>tr1
<a name="l01075"></a>01075 {
<a name="l01076"></a>01076 _GLIBCXX_BEGIN_NAMESPACE_VERSION
<a name="l01077"></a>01077 <span class="comment"></span>
<a name="l01078"></a>01078 <span class="comment"> /**</span>
<a name="l01079"></a>01079 <span class="comment"> * @defgroup tr1_math_spec_func Mathematical Special Functions</span>
<a name="l01080"></a>01080 <span class="comment"> * @ingroup numerics</span>
<a name="l01081"></a>01081 <span class="comment"> *</span>
<a name="l01082"></a>01082 <span class="comment"> * A collection of advanced mathematical special functions.</span>
<a name="l01083"></a>01083 <span class="comment"> * @{</span>
<a name="l01084"></a>01084 <span class="comment"> */</span>
<a name="l01085"></a>01085
<a name="l01086"></a>01086 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01087"></a>01087 assoc_laguerref(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">float</span> __x)
<a name="l01088"></a>01088 { <span class="keywordflow">return</span> __detail::__assoc_laguerre<float>(__n, __m, __x); }
<a name="l01089"></a>01089
<a name="l01090"></a>01090 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01091"></a>01091 assoc_laguerrel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01092"></a>01092 {
<a name="l01093"></a>01093 <span class="keywordflow">return</span> __detail::__assoc_laguerre<long double>(__n, __m, __x);
<a name="l01094"></a>01094 }
<a name="l01095"></a>01095 <span class="comment"></span>
<a name="l01096"></a>01096 <span class="comment"> /// 5.2.1.1 Associated Laguerre polynomials.</span>
<a name="l01097"></a>01097 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01098"></a>01098 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01099"></a><a class="code" href="a01178.html#ga922bc9b3d026b46bec253854784eefb7">01099</a> <a class="code" href="a01178.html#ga922bc9b3d026b46bec253854784eefb7" title="5.2.1.1 Associated Laguerre polynomials.">assoc_laguerre</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, _Tp __x)
<a name="l01100"></a>01100 {
<a name="l01101"></a>01101 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01102"></a>01102 <span class="keywordflow">return</span> __detail::__assoc_laguerre<__type>(__n, __m, __x);
<a name="l01103"></a>01103 }
<a name="l01104"></a>01104
<a name="l01105"></a>01105 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01106"></a>01106 assoc_legendref(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">float</span> __x)
<a name="l01107"></a>01107 { <span class="keywordflow">return</span> __detail::__assoc_legendre_p<float>(__l, __m, __x); }
<a name="l01108"></a>01108
<a name="l01109"></a>01109 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01110"></a>01110 assoc_legendrel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01111"></a>01111 { <span class="keywordflow">return</span> __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
<a name="l01112"></a>01112 <span class="comment"></span>
<a name="l01113"></a>01113 <span class="comment"> /// 5.2.1.2 Associated Legendre functions.</span>
<a name="l01114"></a>01114 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01115"></a>01115 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01116"></a><a class="code" href="a01178.html#ga090e9417847410c4d4e672cf0d9eb252">01116</a> <a class="code" href="a01178.html#ga090e9417847410c4d4e672cf0d9eb252" title="5.2.1.2 Associated Legendre functions.">assoc_legendre</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, _Tp __x)
<a name="l01117"></a>01117 {
<a name="l01118"></a>01118 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01119"></a>01119 <span class="keywordflow">return</span> __detail::__assoc_legendre_p<__type>(__l, __m, __x);
<a name="l01120"></a>01120 }
<a name="l01121"></a>01121
<a name="l01122"></a>01122 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01123"></a>01123 betaf(<span class="keywordtype">float</span> __x, <span class="keywordtype">float</span> __y)
<a name="l01124"></a>01124 { <span class="keywordflow">return</span> __detail::__beta<float>(__x, __y); }
<a name="l01125"></a>01125
<a name="l01126"></a>01126 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01127"></a>01127 betal(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __y)
<a name="l01128"></a>01128 { <span class="keywordflow">return</span> __detail::__beta<long double>(__x, __y); }
<a name="l01129"></a>01129 <span class="comment"></span>
<a name="l01130"></a>01130 <span class="comment"> /// 5.2.1.3 Beta functions.</span>
<a name="l01131"></a>01131 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpx, <span class="keyword">typename</span> _Tpy>
<a name="l01132"></a>01132 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
<a name="l01133"></a><a class="code" href="a01178.html#gafcf5bbeff882b30e20df874cd87cadb9">01133</a> <a class="code" href="a01178.html#gafcf5bbeff882b30e20df874cd87cadb9" title="5.2.1.3 Beta functions.">beta</a>(_Tpx __x, _Tpy __y)
<a name="l01134"></a>01134 {
<a name="l01135"></a>01135 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
<a name="l01136"></a>01136 <span class="keywordflow">return</span> __detail::__beta<__type>(__x, __y);
<a name="l01137"></a>01137 }
<a name="l01138"></a>01138
<a name="l01139"></a>01139 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01140"></a>01140 comp_ellint_1f(<span class="keywordtype">float</span> __k)
<a name="l01141"></a>01141 { <span class="keywordflow">return</span> __detail::__comp_ellint_1<float>(__k); }
<a name="l01142"></a>01142
<a name="l01143"></a>01143 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01144"></a>01144 comp_ellint_1l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k)
<a name="l01145"></a>01145 { <span class="keywordflow">return</span> __detail::__comp_ellint_1<long double>(__k); }
<a name="l01146"></a>01146 <span class="comment"></span>
<a name="l01147"></a>01147 <span class="comment"> /// 5.2.1.4 Complete elliptic integrals of the first kind.</span>
<a name="l01148"></a>01148 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01149"></a>01149 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01150"></a><a class="code" href="a01178.html#ga557cfc04a6acf7438a9265ceb860ea2e">01150</a> <a class="code" href="a01178.html#ga557cfc04a6acf7438a9265ceb860ea2e" title="5.2.1.4 Complete elliptic integrals of the first kind.">comp_ellint_1</a>(_Tp __k)
<a name="l01151"></a>01151 {
<a name="l01152"></a>01152 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01153"></a>01153 <span class="keywordflow">return</span> __detail::__comp_ellint_1<__type>(__k);
<a name="l01154"></a>01154 }
<a name="l01155"></a>01155
<a name="l01156"></a>01156 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01157"></a>01157 comp_ellint_2f(<span class="keywordtype">float</span> __k)
<a name="l01158"></a>01158 { <span class="keywordflow">return</span> __detail::__comp_ellint_2<float>(__k); }
<a name="l01159"></a>01159
<a name="l01160"></a>01160 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01161"></a>01161 comp_ellint_2l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k)
<a name="l01162"></a>01162 { <span class="keywordflow">return</span> __detail::__comp_ellint_2<long double>(__k); }
<a name="l01163"></a>01163 <span class="comment"></span>
<a name="l01164"></a>01164 <span class="comment"> /// 5.2.1.5 Complete elliptic integrals of the second kind.</span>
<a name="l01165"></a>01165 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01166"></a>01166 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01167"></a><a class="code" href="a01178.html#ga1e48930fb19485045abb84daf5fc5a34">01167</a> <a class="code" href="a01178.html#ga1e48930fb19485045abb84daf5fc5a34" title="5.2.1.5 Complete elliptic integrals of the second kind.">comp_ellint_2</a>(_Tp __k)
<a name="l01168"></a>01168 {
<a name="l01169"></a>01169 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01170"></a>01170 <span class="keywordflow">return</span> __detail::__comp_ellint_2<__type>(__k);
<a name="l01171"></a>01171 }
<a name="l01172"></a>01172
<a name="l01173"></a>01173 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01174"></a>01174 comp_ellint_3f(<span class="keywordtype">float</span> __k, <span class="keywordtype">float</span> __nu)
<a name="l01175"></a>01175 { <span class="keywordflow">return</span> __detail::__comp_ellint_3<float>(__k, __nu); }
<a name="l01176"></a>01176
<a name="l01177"></a>01177 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01178"></a>01178 comp_ellint_3l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu)
<a name="l01179"></a>01179 { <span class="keywordflow">return</span> __detail::__comp_ellint_3<long double>(__k, __nu); }
<a name="l01180"></a>01180 <span class="comment"></span>
<a name="l01181"></a>01181 <span class="comment"> /// 5.2.1.6 Complete elliptic integrals of the third kind.</span>
<a name="l01182"></a>01182 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Tpn>
<a name="l01183"></a>01183 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
<a name="l01184"></a><a class="code" href="a01178.html#ga2c86d87141bf8c7b591cc46c390053fa">01184</a> <a class="code" href="a01178.html#ga2c86d87141bf8c7b591cc46c390053fa" title="5.2.1.6 Complete elliptic integrals of the third kind.">comp_ellint_3</a>(_Tp __k, _Tpn __nu)
<a name="l01185"></a>01185 {
<a name="l01186"></a>01186 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
<a name="l01187"></a>01187 <span class="keywordflow">return</span> __detail::__comp_ellint_3<__type>(__k, __nu);
<a name="l01188"></a>01188 }
<a name="l01189"></a>01189
<a name="l01190"></a>01190 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01191"></a>01191 conf_hypergf(<span class="keywordtype">float</span> __a, <span class="keywordtype">float</span> __c, <span class="keywordtype">float</span> __x)
<a name="l01192"></a>01192 { <span class="keywordflow">return</span> __detail::__conf_hyperg<float>(__a, __c, __x); }
<a name="l01193"></a>01193
<a name="l01194"></a>01194 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01195"></a>01195 conf_hypergl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __a, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __c, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01196"></a>01196 { <span class="keywordflow">return</span> __detail::__conf_hyperg<long double>(__a, __c, __x); }
<a name="l01197"></a>01197 <span class="comment"></span>
<a name="l01198"></a>01198 <span class="comment"> /// 5.2.1.7 Confluent hypergeometric functions.</span>
<a name="l01199"></a>01199 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpa, <span class="keyword">typename</span> _Tpc, <span class="keyword">typename</span> _Tp>
<a name="l01200"></a>01200 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
<a name="l01201"></a><a class="code" href="a01178.html#ga749b7b4805497f0b325e4a8d1b997d03">01201</a> <a class="code" href="a01178.html#ga749b7b4805497f0b325e4a8d1b997d03" title="5.2.1.7 Confluent hypergeometric functions.">conf_hyperg</a>(_Tpa __a, _Tpc __c, _Tp __x)
<a name="l01202"></a>01202 {
<a name="l01203"></a>01203 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
<a name="l01204"></a>01204 <span class="keywordflow">return</span> __detail::__conf_hyperg<__type>(__a, __c, __x);
<a name="l01205"></a>01205 }
<a name="l01206"></a>01206
<a name="l01207"></a>01207 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01208"></a>01208 cyl_bessel_if(<span class="keywordtype">float</span> __nu, <span class="keywordtype">float</span> __x)
<a name="l01209"></a>01209 { <span class="keywordflow">return</span> __detail::__cyl_bessel_i<float>(__nu, __x); }
<a name="l01210"></a>01210
<a name="l01211"></a>01211 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01212"></a>01212 cyl_bessel_il(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01213"></a>01213 { <span class="keywordflow">return</span> __detail::__cyl_bessel_i<long double>(__nu, __x); }
<a name="l01214"></a>01214 <span class="comment"></span>
<a name="l01215"></a>01215 <span class="comment"> /// 5.2.1.8 Regular modified cylindrical Bessel functions.</span>
<a name="l01216"></a>01216 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpnu, <span class="keyword">typename</span> _Tp>
<a name="l01217"></a>01217 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
<a name="l01218"></a><a class="code" href="a01178.html#ga1ac2d06dcf96b9687afed6b0ac720727">01218</a> <a class="code" href="a01178.html#ga1ac2d06dcf96b9687afed6b0ac720727" title="5.2.1.8 Regular modified cylindrical Bessel functions.">cyl_bessel_i</a>(_Tpnu __nu, _Tp __x)
<a name="l01219"></a>01219 {
<a name="l01220"></a>01220 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
<a name="l01221"></a>01221 <span class="keywordflow">return</span> __detail::__cyl_bessel_i<__type>(__nu, __x);
<a name="l01222"></a>01222 }
<a name="l01223"></a>01223
<a name="l01224"></a>01224 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01225"></a>01225 cyl_bessel_jf(<span class="keywordtype">float</span> __nu, <span class="keywordtype">float</span> __x)
<a name="l01226"></a>01226 { <span class="keywordflow">return</span> __detail::__cyl_bessel_j<float>(__nu, __x); }
<a name="l01227"></a>01227
<a name="l01228"></a>01228 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01229"></a>01229 cyl_bessel_jl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01230"></a>01230 { <span class="keywordflow">return</span> __detail::__cyl_bessel_j<long double>(__nu, __x); }
<a name="l01231"></a>01231 <span class="comment"></span>
<a name="l01232"></a>01232 <span class="comment"> /// 5.2.1.9 Cylindrical Bessel functions (of the first kind).</span>
<a name="l01233"></a>01233 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpnu, <span class="keyword">typename</span> _Tp>
<a name="l01234"></a>01234 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
<a name="l01235"></a><a class="code" href="a01178.html#ga61ff01976102d788b9b3a8d6945bc93f">01235</a> <a class="code" href="a01178.html#ga61ff01976102d788b9b3a8d6945bc93f" title="5.2.1.9 Cylindrical Bessel functions (of the first kind).">cyl_bessel_j</a>(_Tpnu __nu, _Tp __x)
<a name="l01236"></a>01236 {
<a name="l01237"></a>01237 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
<a name="l01238"></a>01238 <span class="keywordflow">return</span> __detail::__cyl_bessel_j<__type>(__nu, __x);
<a name="l01239"></a>01239 }
<a name="l01240"></a>01240
<a name="l01241"></a>01241 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01242"></a>01242 cyl_bessel_kf(<span class="keywordtype">float</span> __nu, <span class="keywordtype">float</span> __x)
<a name="l01243"></a>01243 { <span class="keywordflow">return</span> __detail::__cyl_bessel_k<float>(__nu, __x); }
<a name="l01244"></a>01244
<a name="l01245"></a>01245 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01246"></a>01246 cyl_bessel_kl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01247"></a>01247 { <span class="keywordflow">return</span> __detail::__cyl_bessel_k<long double>(__nu, __x); }
<a name="l01248"></a>01248 <span class="comment"></span>
<a name="l01249"></a>01249 <span class="comment"> /// 5.2.1.10 Irregular modified cylindrical Bessel functions.</span>
<a name="l01250"></a>01250 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpnu, <span class="keyword">typename</span> _Tp>
<a name="l01251"></a>01251 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
<a name="l01252"></a><a class="code" href="a01178.html#gabc4501e30081cd8e54ea2096c3132a10">01252</a> <a class="code" href="a01178.html#gabc4501e30081cd8e54ea2096c3132a10" title="5.2.1.10 Irregular modified cylindrical Bessel functions.">cyl_bessel_k</a>(_Tpnu __nu, _Tp __x)
<a name="l01253"></a>01253 {
<a name="l01254"></a>01254 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
<a name="l01255"></a>01255 <span class="keywordflow">return</span> __detail::__cyl_bessel_k<__type>(__nu, __x);
<a name="l01256"></a>01256 }
<a name="l01257"></a>01257
<a name="l01258"></a>01258 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01259"></a>01259 cyl_neumannf(<span class="keywordtype">float</span> __nu, <span class="keywordtype">float</span> __x)
<a name="l01260"></a>01260 { <span class="keywordflow">return</span> __detail::__cyl_neumann_n<float>(__nu, __x); }
<a name="l01261"></a>01261
<a name="l01262"></a>01262 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01263"></a>01263 cyl_neumannl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01264"></a>01264 { <span class="keywordflow">return</span> __detail::__cyl_neumann_n<long double>(__nu, __x); }
<a name="l01265"></a>01265 <span class="comment"></span>
<a name="l01266"></a>01266 <span class="comment"> /// 5.2.1.11 Cylindrical Neumann functions.</span>
<a name="l01267"></a>01267 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpnu, <span class="keyword">typename</span> _Tp>
<a name="l01268"></a>01268 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
<a name="l01269"></a><a class="code" href="a01178.html#gad4c690e7ed4e298e386048504214c1b7">01269</a> <a class="code" href="a01178.html#gad4c690e7ed4e298e386048504214c1b7" title="5.2.1.11 Cylindrical Neumann functions.">cyl_neumann</a>(_Tpnu __nu, _Tp __x)
<a name="l01270"></a>01270 {
<a name="l01271"></a>01271 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
<a name="l01272"></a>01272 <span class="keywordflow">return</span> __detail::__cyl_neumann_n<__type>(__nu, __x);
<a name="l01273"></a>01273 }
<a name="l01274"></a>01274
<a name="l01275"></a>01275 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01276"></a>01276 ellint_1f(<span class="keywordtype">float</span> __k, <span class="keywordtype">float</span> __phi)
<a name="l01277"></a>01277 { <span class="keywordflow">return</span> __detail::__ellint_1<float>(__k, __phi); }
<a name="l01278"></a>01278
<a name="l01279"></a>01279 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01280"></a>01280 ellint_1l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __phi)
<a name="l01281"></a>01281 { <span class="keywordflow">return</span> __detail::__ellint_1<long double>(__k, __phi); }
<a name="l01282"></a>01282 <span class="comment"></span>
<a name="l01283"></a>01283 <span class="comment"> /// 5.2.1.12 Incomplete elliptic integrals of the first kind.</span>
<a name="l01284"></a>01284 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Tpp>
<a name="l01285"></a>01285 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
<a name="l01286"></a><a class="code" href="a01178.html#gae6847aeec80a678f072784877cb9dbe9">01286</a> <a class="code" href="a01178.html#gae6847aeec80a678f072784877cb9dbe9" title="5.2.1.12 Incomplete elliptic integrals of the first kind.">ellint_1</a>(_Tp __k, _Tpp __phi)
<a name="l01287"></a>01287 {
<a name="l01288"></a>01288 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
<a name="l01289"></a>01289 <span class="keywordflow">return</span> __detail::__ellint_1<__type>(__k, __phi);
<a name="l01290"></a>01290 }
<a name="l01291"></a>01291
<a name="l01292"></a>01292 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01293"></a>01293 ellint_2f(<span class="keywordtype">float</span> __k, <span class="keywordtype">float</span> __phi)
<a name="l01294"></a>01294 { <span class="keywordflow">return</span> __detail::__ellint_2<float>(__k, __phi); }
<a name="l01295"></a>01295
<a name="l01296"></a>01296 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01297"></a>01297 ellint_2l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __phi)
<a name="l01298"></a>01298 { <span class="keywordflow">return</span> __detail::__ellint_2<long double>(__k, __phi); }
<a name="l01299"></a>01299 <span class="comment"></span>
<a name="l01300"></a>01300 <span class="comment"> /// 5.2.1.13 Incomplete elliptic integrals of the second kind.</span>
<a name="l01301"></a>01301 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Tpp>
<a name="l01302"></a>01302 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
<a name="l01303"></a><a class="code" href="a01178.html#ga62ef0e25f566c0548a29838067e562ed">01303</a> <a class="code" href="a01178.html#ga62ef0e25f566c0548a29838067e562ed" title="5.2.1.13 Incomplete elliptic integrals of the second kind.">ellint_2</a>(_Tp __k, _Tpp __phi)
<a name="l01304"></a>01304 {
<a name="l01305"></a>01305 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
<a name="l01306"></a>01306 <span class="keywordflow">return</span> __detail::__ellint_2<__type>(__k, __phi);
<a name="l01307"></a>01307 }
<a name="l01308"></a>01308
<a name="l01309"></a>01309 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01310"></a>01310 ellint_3f(<span class="keywordtype">float</span> __k, <span class="keywordtype">float</span> __nu, <span class="keywordtype">float</span> __phi)
<a name="l01311"></a>01311 { <span class="keywordflow">return</span> __detail::__ellint_3<float>(__k, __nu, __phi); }
<a name="l01312"></a>01312
<a name="l01313"></a>01313 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01314"></a>01314 ellint_3l(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __k, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __nu, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __phi)
<a name="l01315"></a>01315 { <span class="keywordflow">return</span> __detail::__ellint_3<long double>(__k, __nu, __phi); }
<a name="l01316"></a>01316 <span class="comment"></span>
<a name="l01317"></a>01317 <span class="comment"> /// 5.2.1.14 Incomplete elliptic integrals of the third kind.</span>
<a name="l01318"></a>01318 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp, <span class="keyword">typename</span> _Tpn, <span class="keyword">typename</span> _Tpp>
<a name="l01319"></a>01319 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
<a name="l01320"></a><a class="code" href="a01178.html#gadf6ac0914756949b656fc048dcb9fb79">01320</a> <a class="code" href="a01178.html#gadf6ac0914756949b656fc048dcb9fb79" title="5.2.1.14 Incomplete elliptic integrals of the third kind.">ellint_3</a>(_Tp __k, _Tpn __nu, _Tpp __phi)
<a name="l01321"></a>01321 {
<a name="l01322"></a>01322 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
<a name="l01323"></a>01323 <span class="keywordflow">return</span> __detail::__ellint_3<__type>(__k, __nu, __phi);
<a name="l01324"></a>01324 }
<a name="l01325"></a>01325
<a name="l01326"></a>01326 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01327"></a>01327 expintf(<span class="keywordtype">float</span> __x)
<a name="l01328"></a>01328 { <span class="keywordflow">return</span> __detail::__expint<float>(__x); }
<a name="l01329"></a>01329
<a name="l01330"></a>01330 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01331"></a>01331 expintl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01332"></a>01332 { <span class="keywordflow">return</span> __detail::__expint<long double>(__x); }
<a name="l01333"></a>01333 <span class="comment"></span>
<a name="l01334"></a>01334 <span class="comment"> /// 5.2.1.15 Exponential integrals.</span>
<a name="l01335"></a>01335 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01336"></a>01336 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01337"></a><a class="code" href="a01178.html#ga00f8d263ecd5d2a2374867082b89f398">01337</a> <a class="code" href="a01178.html#ga00f8d263ecd5d2a2374867082b89f398" title="5.2.1.15 Exponential integrals.">expint</a>(_Tp __x)
<a name="l01338"></a>01338 {
<a name="l01339"></a>01339 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01340"></a>01340 <span class="keywordflow">return</span> __detail::__expint<__type>(__x);
<a name="l01341"></a>01341 }
<a name="l01342"></a>01342
<a name="l01343"></a>01343 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01344"></a>01344 hermitef(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">float</span> __x)
<a name="l01345"></a>01345 { <span class="keywordflow">return</span> __detail::__poly_hermite<float>(__n, __x); }
<a name="l01346"></a>01346
<a name="l01347"></a>01347 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01348"></a>01348 hermitel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01349"></a>01349 { <span class="keywordflow">return</span> __detail::__poly_hermite<long double>(__n, __x); }
<a name="l01350"></a>01350 <span class="comment"></span>
<a name="l01351"></a>01351 <span class="comment"> /// 5.2.1.16 Hermite polynomials.</span>
<a name="l01352"></a>01352 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01353"></a>01353 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01354"></a><a class="code" href="a01178.html#ga54469b5867b20f518622ea4eb239f828">01354</a> <a class="code" href="a01178.html#ga54469b5867b20f518622ea4eb239f828" title="5.2.1.16 Hermite polynomials.">hermite</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, _Tp __x)
<a name="l01355"></a>01355 {
<a name="l01356"></a>01356 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01357"></a>01357 <span class="keywordflow">return</span> __detail::__poly_hermite<__type>(__n, __x);
<a name="l01358"></a>01358 }
<a name="l01359"></a>01359
<a name="l01360"></a>01360 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01361"></a>01361 hypergf(<span class="keywordtype">float</span> __a, <span class="keywordtype">float</span> __b, <span class="keywordtype">float</span> __c, <span class="keywordtype">float</span> __x)
<a name="l01362"></a>01362 { <span class="keywordflow">return</span> __detail::__hyperg<float>(__a, __b, __c, __x); }
<a name="l01363"></a>01363
<a name="l01364"></a>01364 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01365"></a>01365 hypergl(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __a, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __b, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __c, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01366"></a>01366 { <span class="keywordflow">return</span> __detail::__hyperg<long double>(__a, __b, __c, __x); }
<a name="l01367"></a>01367 <span class="comment"></span>
<a name="l01368"></a>01368 <span class="comment"> /// 5.2.1.17 Hypergeometric functions.</span>
<a name="l01369"></a>01369 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tpa, <span class="keyword">typename</span> _Tpb, <span class="keyword">typename</span> _Tpc, <span class="keyword">typename</span> _Tp>
<a name="l01370"></a>01370 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
<a name="l01371"></a><a class="code" href="a01178.html#ga57ad342db098de022be6802adddf20c7">01371</a> <a class="code" href="a01178.html#ga57ad342db098de022be6802adddf20c7" title="5.2.1.17 Hypergeometric functions.">hyperg</a>(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
<a name="l01372"></a>01372 {
<a name="l01373"></a>01373 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
<a name="l01374"></a>01374 <span class="keywordflow">return</span> __detail::__hyperg<__type>(__a, __b, __c, __x);
<a name="l01375"></a>01375 }
<a name="l01376"></a>01376
<a name="l01377"></a>01377 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01378"></a>01378 laguerref(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">float</span> __x)
<a name="l01379"></a>01379 { <span class="keywordflow">return</span> __detail::__laguerre<float>(__n, __x); }
<a name="l01380"></a>01380
<a name="l01381"></a>01381 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01382"></a>01382 laguerrel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01383"></a>01383 { <span class="keywordflow">return</span> __detail::__laguerre<long double>(__n, __x); }
<a name="l01384"></a>01384 <span class="comment"></span>
<a name="l01385"></a>01385 <span class="comment"> /// 5.2.1.18 Laguerre polynomials.</span>
<a name="l01386"></a>01386 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01387"></a>01387 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01388"></a><a class="code" href="a01178.html#gac0ddede42215ce6fcea19c3fe915c22b">01388</a> <a class="code" href="a01178.html#gac0ddede42215ce6fcea19c3fe915c22b" title="5.2.1.18 Laguerre polynomials.">laguerre</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, _Tp __x)
<a name="l01389"></a>01389 {
<a name="l01390"></a>01390 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01391"></a>01391 <span class="keywordflow">return</span> __detail::__laguerre<__type>(__n, __x);
<a name="l01392"></a>01392 }
<a name="l01393"></a>01393
<a name="l01394"></a>01394 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01395"></a>01395 legendref(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">float</span> __x)
<a name="l01396"></a>01396 { <span class="keywordflow">return</span> __detail::__poly_legendre_p<float>(__n, __x); }
<a name="l01397"></a>01397
<a name="l01398"></a>01398 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01399"></a>01399 legendrel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01400"></a>01400 { <span class="keywordflow">return</span> __detail::__poly_legendre_p<long double>(__n, __x); }
<a name="l01401"></a>01401 <span class="comment"></span>
<a name="l01402"></a>01402 <span class="comment"> /// 5.2.1.19 Legendre polynomials.</span>
<a name="l01403"></a>01403 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01404"></a>01404 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01405"></a><a class="code" href="a01178.html#ga5ae3955f981fae0dce4d48c8b6339bd6">01405</a> <a class="code" href="a01178.html#ga5ae3955f981fae0dce4d48c8b6339bd6" title="5.2.1.19 Legendre polynomials.">legendre</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, _Tp __x)
<a name="l01406"></a>01406 {
<a name="l01407"></a>01407 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01408"></a>01408 <span class="keywordflow">return</span> __detail::__poly_legendre_p<__type>(__n, __x);
<a name="l01409"></a>01409 }
<a name="l01410"></a>01410
<a name="l01411"></a>01411 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01412"></a>01412 riemann_zetaf(<span class="keywordtype">float</span> __x)
<a name="l01413"></a>01413 { <span class="keywordflow">return</span> __detail::__riemann_zeta<float>(__x); }
<a name="l01414"></a>01414
<a name="l01415"></a>01415 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01416"></a>01416 riemann_zetal(<span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01417"></a>01417 { <span class="keywordflow">return</span> __detail::__riemann_zeta<long double>(__x); }
<a name="l01418"></a>01418 <span class="comment"></span>
<a name="l01419"></a>01419 <span class="comment"> /// 5.2.1.20 Riemann zeta function.</span>
<a name="l01420"></a>01420 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01421"></a>01421 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01422"></a><a class="code" href="a01178.html#gae6a6b450e4a8f3fe3ad3cd827aa8f5b4">01422</a> <a class="code" href="a01178.html#gae6a6b450e4a8f3fe3ad3cd827aa8f5b4" title="5.2.1.20 Riemann zeta function.">riemann_zeta</a>(_Tp __x)
<a name="l01423"></a>01423 {
<a name="l01424"></a>01424 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01425"></a>01425 <span class="keywordflow">return</span> __detail::__riemann_zeta<__type>(__x);
<a name="l01426"></a>01426 }
<a name="l01427"></a>01427
<a name="l01428"></a>01428 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01429"></a>01429 sph_besself(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">float</span> __x)
<a name="l01430"></a>01430 { <span class="keywordflow">return</span> __detail::__sph_bessel<float>(__n, __x); }
<a name="l01431"></a>01431
<a name="l01432"></a>01432 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01433"></a>01433 sph_bessell(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01434"></a>01434 { <span class="keywordflow">return</span> __detail::__sph_bessel<long double>(__n, __x); }
<a name="l01435"></a>01435 <span class="comment"></span>
<a name="l01436"></a>01436 <span class="comment"> /// 5.2.1.21 Spherical Bessel functions.</span>
<a name="l01437"></a>01437 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01438"></a>01438 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01439"></a><a class="code" href="a01178.html#ga22efcf329d30e3e79f68de074d17f571">01439</a> <a class="code" href="a01178.html#ga22efcf329d30e3e79f68de074d17f571" title="5.2.1.21 Spherical Bessel functions.">sph_bessel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, _Tp __x)
<a name="l01440"></a>01440 {
<a name="l01441"></a>01441 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01442"></a>01442 <span class="keywordflow">return</span> __detail::__sph_bessel<__type>(__n, __x);
<a name="l01443"></a>01443 }
<a name="l01444"></a>01444
<a name="l01445"></a>01445 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01446"></a>01446 sph_legendref(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">float</span> __theta)
<a name="l01447"></a>01447 { <span class="keywordflow">return</span> __detail::__sph_legendre<float>(__l, __m, __theta); }
<a name="l01448"></a>01448
<a name="l01449"></a>01449 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01450"></a>01450 sph_legendrel(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __theta)
<a name="l01451"></a>01451 { <span class="keywordflow">return</span> __detail::__sph_legendre<long double>(__l, __m, __theta); }
<a name="l01452"></a>01452 <span class="comment"></span>
<a name="l01453"></a>01453 <span class="comment"> /// 5.2.1.22 Spherical associated Legendre functions.</span>
<a name="l01454"></a>01454 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01455"></a>01455 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01456"></a><a class="code" href="a01178.html#gad1bcd269fb9152241c398565f4690228">01456</a> <a class="code" href="a01178.html#gad1bcd269fb9152241c398565f4690228" title="5.2.1.22 Spherical associated Legendre functions.">sph_legendre</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __l, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __m, _Tp __theta)
<a name="l01457"></a>01457 {
<a name="l01458"></a>01458 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01459"></a>01459 <span class="keywordflow">return</span> __detail::__sph_legendre<__type>(__l, __m, __theta);
<a name="l01460"></a>01460 }
<a name="l01461"></a>01461
<a name="l01462"></a>01462 <span class="keyword">inline</span> <span class="keywordtype">float</span>
<a name="l01463"></a>01463 sph_neumannf(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">float</span> __x)
<a name="l01464"></a>01464 { <span class="keywordflow">return</span> __detail::__sph_neumann<float>(__n, __x); }
<a name="l01465"></a>01465
<a name="l01466"></a>01466 <span class="keyword">inline</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span>
<a name="l01467"></a>01467 sph_neumannl(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, <span class="keywordtype">long</span> <span class="keywordtype">double</span> __x)
<a name="l01468"></a>01468 { <span class="keywordflow">return</span> __detail::__sph_neumann<long double>(__n, __x); }
<a name="l01469"></a>01469 <span class="comment"></span>
<a name="l01470"></a>01470 <span class="comment"> /// 5.2.1.23 Spherical Neumann functions.</span>
<a name="l01471"></a>01471 <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> _Tp>
<a name="l01472"></a>01472 <span class="keyword">inline</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type
<a name="l01473"></a><a class="code" href="a01178.html#ga5f575c9b3aa15c0643b1c2495517b139">01473</a> <a class="code" href="a01178.html#ga5f575c9b3aa15c0643b1c2495517b139" title="5.2.1.23 Spherical Neumann functions.">sph_neumann</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> __n, _Tp __x)
<a name="l01474"></a>01474 {
<a name="l01475"></a>01475 <span class="keyword">typedef</span> <span class="keyword">typename</span> __gnu_cxx::__promote<_Tp>::__type __type;
<a name="l01476"></a>01476 <span class="keywordflow">return</span> __detail::__sph_neumann<__type>(__n, __x);
<a name="l01477"></a>01477 }
<a name="l01478"></a>01478
<a name="l01479"></a>01479 <span class="comment">/* @} */</span> <span class="comment">// tr1_math_spec_func</span>
<a name="l01480"></a>01480 _GLIBCXX_END_NAMESPACE_VERSION
<a name="l01481"></a>01481 }
<a name="l01482"></a>01482 }
<a name="l01483"></a>01483
<a name="l01484"></a>01484 <span class="preprocessor">#endif // _GLIBCXX_TR1_CMATH</span>
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