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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/***************************************************************************</span>
<a name="l00002"></a>00002 <span class="comment"> * Copyright (C) 2005-2010 by the FIFE team *</span>
<a name="l00003"></a>00003 <span class="comment"> * http://www.fifengine.net *</span>
<a name="l00004"></a>00004 <span class="comment"> * This file is part of FIFE. *</span>
<a name="l00005"></a>00005 <span class="comment"> * *</span>
<a name="l00006"></a>00006 <span class="comment"> * FIFE is free software; you can redistribute it and/or *</span>
<a name="l00007"></a>00007 <span class="comment"> * modify it under the terms of the GNU Lesser General Public *</span>
<a name="l00008"></a>00008 <span class="comment"> * License as published by the Free Software Foundation; either *</span>
<a name="l00009"></a>00009 <span class="comment"> * version 2.1 of the License, or (at your option) any later version. *</span>
<a name="l00010"></a>00010 <span class="comment"> * *</span>
<a name="l00011"></a>00011 <span class="comment"> * This library is distributed in the hope that it will be useful, *</span>
<a name="l00012"></a>00012 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of *</span>
<a name="l00013"></a>00013 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *</span>
<a name="l00014"></a>00014 <span class="comment"> * Lesser General Public License for more details. *</span>
<a name="l00015"></a>00015 <span class="comment"> * *</span>
<a name="l00016"></a>00016 <span class="comment"> * You should have received a copy of the GNU Lesser General Public *</span>
<a name="l00017"></a>00017 <span class="comment"> * License along with this library; if not, write to the *</span>
<a name="l00018"></a>00018 <span class="comment"> * Free Software Foundation, Inc., *</span>
<a name="l00019"></a>00019 <span class="comment"> * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA *</span>
<a name="l00020"></a>00020 <span class="comment"> ***************************************************************************/</span>
<a name="l00021"></a>00021
<a name="l00022"></a>00022 <span class="preprocessor">#ifndef FIFE_UTIL_FIFE_MATH_H</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">#define FIFE_UTIL_FIFE_MATH_H</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span>
<a name="l00025"></a>00025 <span class="comment">// Standard C++ library includes</span>
<a name="l00026"></a>00026 <span class="preprocessor">#include <cassert></span>
<a name="l00027"></a>00027 <span class="preprocessor">#include <cmath></span>
<a name="l00028"></a>00028 <span class="preprocessor">#include <limits></span>
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <span class="comment">// Platform specific includes</span>
<a name="l00031"></a>00031
<a name="l00032"></a>00032 <span class="comment">// 3rd party library includes</span>
<a name="l00033"></a>00033
<a name="l00034"></a>00034 <span class="comment">// FIFE includes</span>
<a name="l00035"></a>00035 <span class="comment">// These includes are split up in two parts, separated by one empty line</span>
<a name="l00036"></a>00036 <span class="comment">// First block: files included from the FIFE root src directory</span>
<a name="l00037"></a>00037 <span class="comment">// Second block: files included from the same folder</span>
<a name="l00038"></a>00038
<a name="l00039"></a>00039 <span class="preprocessor">#ifndef ABS</span>
<a name="l00040"></a>00040 <span class="preprocessor"></span><span class="preprocessor">#define ABS(x) ((x)<0?-(x):(x))</span>
<a name="l00041"></a>00041 <span class="preprocessor"></span>
<a name="l00042"></a>00042 <span class="preprocessor">#endif</span>
<a name="l00043"></a>00043 <span class="preprocessor"></span>
<a name="l00044"></a>00044 <span class="comment">// Sort out the missing round function in MSVC:</span>
<a name="l00045"></a>00045 <span class="preprocessor">#if defined( WIN32 ) && defined( _MSC_VER )</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><span class="keyword">inline</span> <span class="keywordtype">double</span> round(<span class="keyword">const</span> <span class="keywordtype">double</span> x) {
<a name="l00047"></a>00047 <span class="keywordflow">return</span> x < 0.0 ? ceil(x - 0.5) : floor(x + 0.5);
<a name="l00048"></a>00048 }
<a name="l00049"></a>00049 <span class="preprocessor">#endif</span>
<a name="l00050"></a>00050 <span class="preprocessor"></span>
<a name="l00051"></a>00051 <span class="keyword">namespace </span>FIFE {
<a name="l00052"></a>00052
<a name="l00053"></a>00053 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_STD_EPSILON = std::numeric_limits<float>::epsilon();
<a name="l00054"></a>00054 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_STD_MAX = std::numeric_limits<float>::max();
<a name="l00055"></a>00055 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_ZERO_TOLERANCE = 1e-06f;
<a name="l00056"></a>00056 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_PI = 4.0f*std::atan(1.0f);
<a name="l00057"></a>00057 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_TWO_PI = 2.0f*FLT_PI;
<a name="l00058"></a>00058 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_HALF_PI = 0.5f*FLT_PI;
<a name="l00059"></a>00059 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_INVERSE_PI = 1.0f/FLT_PI;
<a name="l00060"></a>00060 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_INVERSE_TWO_PI = 1.0f/FLT_TWO_PI;
<a name="l00061"></a>00061 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_DEG_TO_RAD = FLT_PI/180.0f;
<a name="l00062"></a>00062 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_RAD_TO_DEG = 180.0f/FLT_PI;
<a name="l00063"></a>00063 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_LOG_2 = std::log(2.0f);
<a name="l00064"></a>00064 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_LOG_10 = std::log(10.0f);
<a name="l00065"></a>00065 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_INV_LOG_2 = 1.0f/std::log(2.0f);
<a name="l00066"></a>00066 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> FLT_INV_LOG_10 = 1.0f/std::log(10.0f);
<a name="l00067"></a>00067
<a name="l00068"></a>00068 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_STD_EPSILON = std::numeric_limits<double>::epsilon();
<a name="l00069"></a>00069 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_STD_MAX = std::numeric_limits<double>::max();
<a name="l00070"></a>00070 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_ZERO_TOLERANCE = 1e-08;
<a name="l00071"></a>00071 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_PI = 4.0*std::atan(1.0);
<a name="l00072"></a>00072 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_TWO_PI = 2.0*DBL_PI;
<a name="l00073"></a>00073 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_HALF_PI = 0.5*DBL_PI;
<a name="l00074"></a>00074 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_INVERSE_PI = 1.0/DBL_PI;
<a name="l00075"></a>00075 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_INVERSE_TWO_PI = 1.0/DBL_TWO_PI;
<a name="l00076"></a>00076 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_DEG_TO_RAD = DBL_PI/180.0;
<a name="l00077"></a>00077 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_RAD_TO_DEG = 180.0f/DBL_PI;
<a name="l00078"></a>00078 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_LOG_2 = std::log(2.0);
<a name="l00079"></a>00079 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_LOG_10 = std::log(10.0);
<a name="l00080"></a>00080 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_INV_LOG_2 = 1.0/std::log(2.0);
<a name="l00081"></a>00081 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> DBL_INV_LOG_10 = 1.0/std::log(10.0);
<a name="l00082"></a>00082
<a name="l00083"></a>00083 <span class="keyword">template</span> <<span class="keyword">class</span> numT>
<a name="l00084"></a>00084 <span class="keyword">struct </span>float_traits { };
<a name="l00085"></a>00085
<a name="l00086"></a>00086 <span class="keyword">template</span> <>
<a name="l00087"></a>00087 <span class="keyword">struct </span>float_traits<float> {
<a name="l00088"></a>00088 <span class="keyword">typedef</span> <span class="keywordtype">float</span> float_type;
<a name="l00089"></a>00089 <span class="keyword">static</span> <span class="keyword">inline</span> float_type epsilon() { <span class="keywordflow">return</span> FLT_STD_EPSILON; }
<a name="l00090"></a>00090 <span class="keyword">static</span> <span class="keyword">inline</span> float_type zeroTolerance() { <span class="keywordflow">return</span> FLT_ZERO_TOLERANCE; }
<a name="l00091"></a>00091 <span class="keyword">static</span> <span class="keyword">inline</span> float_type max() { <span class="keywordflow">return</span> FLT_STD_MAX; }
<a name="l00092"></a>00092 <span class="keyword">static</span> <span class="keyword">inline</span> float_type pi() { <span class="keywordflow">return</span> FLT_PI; }
<a name="l00093"></a>00093 <span class="keyword">static</span> <span class="keyword">inline</span> float_type twoPi() { <span class="keywordflow">return</span> FLT_TWO_PI; }
<a name="l00094"></a>00094 <span class="keyword">static</span> <span class="keyword">inline</span> float_type halfPi() { <span class="keywordflow">return</span> FLT_HALF_PI; }
<a name="l00095"></a>00095 <span class="keyword">static</span> <span class="keyword">inline</span> float_type inversePi() { <span class="keywordflow">return</span> FLT_INVERSE_PI; }
<a name="l00096"></a>00096 <span class="keyword">static</span> <span class="keyword">inline</span> float_type inverseTwoPi() { <span class="keywordflow">return</span> FLT_INVERSE_TWO_PI; }
<a name="l00097"></a>00097 <span class="keyword">static</span> <span class="keyword">inline</span> float_type degToRad() { <span class="keywordflow">return</span> FLT_DEG_TO_RAD; }
<a name="l00098"></a>00098 <span class="keyword">static</span> <span class="keyword">inline</span> float_type radToDeg() { <span class="keywordflow">return</span> FLT_RAD_TO_DEG; }
<a name="l00099"></a>00099 <span class="keyword">static</span> <span class="keyword">inline</span> float_type log2() { <span class="keywordflow">return</span> FLT_LOG_2; }
<a name="l00100"></a>00100 <span class="keyword">static</span> <span class="keyword">inline</span> float_type log10() { <span class="keywordflow">return</span> FLT_LOG_10; }
<a name="l00101"></a>00101 <span class="keyword">static</span> <span class="keyword">inline</span> float_type invLog2() { <span class="keywordflow">return</span> FLT_INV_LOG_2; }
<a name="l00102"></a>00102 <span class="keyword">static</span> <span class="keyword">inline</span> float_type invLog10() { <span class="keywordflow">return</span> FLT_INV_LOG_10; }
<a name="l00103"></a>00103 };
<a name="l00104"></a>00104
<a name="l00105"></a>00105 <span class="keyword">template</span> <>
<a name="l00106"></a>00106 <span class="keyword">struct </span>float_traits<double> {
<a name="l00107"></a>00107 <span class="keyword">typedef</span> <span class="keywordtype">double</span> float_type;
<a name="l00108"></a>00108 <span class="keyword">static</span> <span class="keyword">inline</span> float_type epsilon() { <span class="keywordflow">return</span> DBL_STD_EPSILON; }
<a name="l00109"></a>00109 <span class="keyword">static</span> <span class="keyword">inline</span> float_type zeroTolerance() { <span class="keywordflow">return</span> DBL_ZERO_TOLERANCE; }
<a name="l00110"></a>00110 <span class="keyword">static</span> <span class="keyword">inline</span> float_type max() { <span class="keywordflow">return</span> DBL_STD_MAX; }
<a name="l00111"></a>00111 <span class="keyword">static</span> <span class="keyword">inline</span> float_type pi() { <span class="keywordflow">return</span> DBL_PI; }
<a name="l00112"></a>00112 <span class="keyword">static</span> <span class="keyword">inline</span> float_type twoPi() { <span class="keywordflow">return</span> DBL_TWO_PI; }
<a name="l00113"></a>00113 <span class="keyword">static</span> <span class="keyword">inline</span> float_type halfPi() { <span class="keywordflow">return</span> DBL_HALF_PI; }
<a name="l00114"></a>00114 <span class="keyword">static</span> <span class="keyword">inline</span> float_type inversePi() { <span class="keywordflow">return</span> DBL_INVERSE_PI; }
<a name="l00115"></a>00115 <span class="keyword">static</span> <span class="keyword">inline</span> float_type inverseTwoPi() { <span class="keywordflow">return</span> DBL_INVERSE_TWO_PI; }
<a name="l00116"></a>00116 <span class="keyword">static</span> <span class="keyword">inline</span> float_type degToRad() { <span class="keywordflow">return</span> DBL_DEG_TO_RAD; }
<a name="l00117"></a>00117 <span class="keyword">static</span> <span class="keyword">inline</span> float_type radToDeg() { <span class="keywordflow">return</span> DBL_RAD_TO_DEG; }
<a name="l00118"></a>00118 <span class="keyword">static</span> <span class="keyword">inline</span> float_type log2() { <span class="keywordflow">return</span> DBL_LOG_2; }
<a name="l00119"></a>00119 <span class="keyword">static</span> <span class="keyword">inline</span> float_type log10() { <span class="keywordflow">return</span> DBL_LOG_10; }
<a name="l00120"></a>00120 <span class="keyword">static</span> <span class="keyword">inline</span> float_type invLog2() { <span class="keywordflow">return</span> DBL_INV_LOG_2; }
<a name="l00121"></a>00121 <span class="keyword">static</span> <span class="keyword">inline</span> float_type invLog10() { <span class="keywordflow">return</span> DBL_INV_LOG_10; }
<a name="l00122"></a>00122 };
<a name="l00123"></a>00123
<a name="l00124"></a>00124 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
<a name="l00125"></a>00125 <span class="keyword">class </span>Math {
<a name="l00126"></a>00126 <span class="keyword">public</span>:
<a name="l00127"></a>00127 <span class="keyword">typedef</span> T num_type;
<a name="l00128"></a>00128 <span class="keyword">typedef</span> float_traits<num_type> traits_type;
<a name="l00129"></a>00129
<a name="l00130"></a>00130 <span class="keyword">static</span> <span class="keyword">inline</span> num_type epsilon() { <span class="keywordflow">return</span> traits_type::epsilon(); }
<a name="l00131"></a>00131 <span class="keyword">static</span> <span class="keyword">inline</span> num_type zeroTolerance() { <span class="keywordflow">return</span> traits_type::zeroTolerance(); }
<a name="l00132"></a>00132 <span class="keyword">static</span> <span class="keyword">inline</span> num_type max() { <span class="keywordflow">return</span> traits_type::max(); }
<a name="l00133"></a>00133 <span class="keyword">static</span> <span class="keyword">inline</span> num_type pi() { <span class="keywordflow">return</span> traits_type::pi(); }
<a name="l00134"></a>00134 <span class="keyword">static</span> <span class="keyword">inline</span> num_type twoPi() { <span class="keywordflow">return</span> traits_type::twoPi(); }
<a name="l00135"></a>00135 <span class="keyword">static</span> <span class="keyword">inline</span> num_type halfPi() { <span class="keywordflow">return</span> traits_type::halfPi(); }
<a name="l00136"></a>00136 <span class="keyword">static</span> <span class="keyword">inline</span> num_type inversePi() { <span class="keywordflow">return</span> traits_type::inversePi(); }
<a name="l00137"></a>00137 <span class="keyword">static</span> <span class="keyword">inline</span> num_type inverseTwoPi() { <span class="keywordflow">return</span> traits_type::inverseTwoPi(); }
<a name="l00138"></a>00138 <span class="keyword">static</span> <span class="keyword">inline</span> num_type degToRad() { <span class="keywordflow">return</span> traits_type::degToRad(); }
<a name="l00139"></a>00139 <span class="keyword">static</span> <span class="keyword">inline</span> num_type radToDeg() { <span class="keywordflow">return</span> traits_type::radToDeg(); }
<a name="l00140"></a>00140 <span class="keyword">static</span> <span class="keyword">inline</span> num_type log2() { <span class="keywordflow">return</span> traits_type::log2(); }
<a name="l00141"></a>00141 <span class="keyword">static</span> <span class="keyword">inline</span> num_type log10() { <span class="keywordflow">return</span> traits_type::log10(); }
<a name="l00142"></a>00142 <span class="keyword">static</span> <span class="keyword">inline</span> num_type invLog2() { <span class="keywordflow">return</span> traits_type::invLog2(); }
<a name="l00143"></a>00143 <span class="keyword">static</span> <span class="keyword">inline</span> num_type invLog10() { <span class="keywordflow">return</span> traits_type::invLog10(); }
<a name="l00144"></a>00144
<a name="l00145"></a>00145 <span class="keyword">static</span> T ACos(T _val);
<a name="l00146"></a>00146 <span class="keyword">static</span> T ASin(T _val);
<a name="l00147"></a>00147 <span class="keyword">static</span> T ATan(T _val);
<a name="l00148"></a>00148 <span class="keyword">static</span> T ATan2(T _x, T _y);
<a name="l00149"></a>00149 <span class="keyword">static</span> T Ceil(T _val);
<a name="l00150"></a>00150 <span class="keyword">static</span> T Cos(T _val);
<a name="l00151"></a>00151 <span class="keyword">static</span> T Exp(T _val);
<a name="l00152"></a>00152 <span class="keyword">static</span> T FAbs(T _val);
<a name="l00153"></a>00153 <span class="keyword">static</span> T Floor(T _val);
<a name="l00154"></a>00154 <span class="keyword">static</span> T FMod (T _x, T _y);
<a name="l00155"></a>00155 <span class="keyword">static</span> T InvSqrt(T _val);
<a name="l00156"></a>00156 <span class="keyword">static</span> T Log(T _val);
<a name="l00157"></a>00157 <span class="keyword">static</span> T Log2(T _val);
<a name="l00158"></a>00158 <span class="keyword">static</span> T Log10(T _val);
<a name="l00159"></a>00159 <span class="keyword">static</span> T Pow(T _base, T _exponent);
<a name="l00160"></a>00160 <span class="keyword">static</span> T Sin(T _val);
<a name="l00161"></a>00161 <span class="keyword">static</span> T Sqr(T _val);
<a name="l00162"></a>00162 <span class="keyword">static</span> T Sqrt(T _val);
<a name="l00163"></a>00163 <span class="keyword">static</span> T Tan(T _val);
<a name="l00164"></a>00164 };
<a name="l00165"></a>00165
<a name="l00166"></a>00166 <span class="keyword">typedef</span> Math<float> Mathf;
<a name="l00167"></a>00167 <span class="keyword">typedef</span> Math<double> Mathd;
<a name="l00168"></a>00168
<a name="l00169"></a>00169 <span class="keyword">template</span><<span class="keyword">typename</span> T>
<a name="l00170"></a>00170 <span class="keyword">inline</span> T Math<T>::ACos(T _val) {
<a name="l00171"></a>00171 <span class="keywordflow">if</span> (-static_cast<T>(1) < _val) {
<a name="l00172"></a>00172 <span class="keywordflow">if</span> (_val < static_cast<T>(1)) {
<a name="l00173"></a>00173 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::acos(_val));
<a name="l00174"></a>00174 }
<a name="l00175"></a>00175 <span class="keywordflow">else</span> {
<a name="l00176"></a>00176 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(0);
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178 }
<a name="l00179"></a>00179 <span class="keywordflow">else</span> {
<a name="l00180"></a>00180 <span class="keywordflow">return</span> pi();
<a name="l00181"></a>00181 }
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183
<a name="l00184"></a>00184 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00185"></a>00185 <span class="keyword">inline</span> T Math<T>::ASin(T _val) {
<a name="l00186"></a>00186 <span class="keywordflow">if</span> (-static_cast<T>(1) < _val) {
<a name="l00187"></a>00187 <span class="keywordflow">if</span> (_val < static_cast<T>(1)) {
<a name="l00188"></a>00188 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::asin(_val));
<a name="l00189"></a>00189 }
<a name="l00190"></a>00190 <span class="keywordflow">else</span> {
<a name="l00191"></a>00191 <span class="keywordflow">return</span> halfPi();
<a name="l00192"></a>00192 }
<a name="l00193"></a>00193 }
<a name="l00194"></a>00194 <span class="keywordflow">else</span> {
<a name="l00195"></a>00195 <span class="keywordflow">return</span> -halfPi();
<a name="l00196"></a>00196 }
<a name="l00197"></a>00197 }
<a name="l00198"></a>00198
<a name="l00199"></a>00199 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00200"></a>00200 <span class="keyword">inline</span> T Math<T>::ATan(T _val) {
<a name="l00201"></a>00201 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::atan(_val));
<a name="l00202"></a>00202 }
<a name="l00203"></a>00203
<a name="l00204"></a>00204 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00205"></a>00205 <span class="keyword">inline</span> T Math<T>::ATan2(T _x, T _y) {
<a name="l00206"></a>00206 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::atan2(_x, _y));
<a name="l00207"></a>00207 }
<a name="l00208"></a>00208
<a name="l00209"></a>00209 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00210"></a>00210 <span class="keyword">inline</span> T Math<T>::Ceil(T _val) {
<a name="l00211"></a>00211 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::ceil(_val));
<a name="l00212"></a>00212 }
<a name="l00213"></a>00213
<a name="l00214"></a>00214 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00215"></a>00215 <span class="keyword">inline</span> T Math<T>::Cos(T _val) {
<a name="l00216"></a>00216 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::cos(_val));
<a name="l00217"></a>00217 }
<a name="l00218"></a>00218
<a name="l00219"></a>00219 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00220"></a>00220 <span class="keyword">inline</span> T Math<T>::Exp(T _val){
<a name="l00221"></a>00221 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::exp(_val));
<a name="l00222"></a>00222 }
<a name="l00223"></a>00223
<a name="l00224"></a>00224 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00225"></a>00225 <span class="keyword">inline</span> T Math<T>::FAbs(T _val) {
<a name="l00226"></a>00226 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::fabs(_val));
<a name="l00227"></a>00227 }
<a name="l00228"></a>00228
<a name="l00229"></a>00229 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00230"></a>00230 <span class="keyword">inline</span> T Math<T>::Floor(T _val) {
<a name="l00231"></a>00231 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::floor(_val));
<a name="l00232"></a>00232 }
<a name="l00233"></a>00233
<a name="l00234"></a>00234 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00235"></a>00235 <span class="keyword">inline</span> T Math<T>::FMod(T _x, T _y) {
<a name="l00236"></a>00236 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::fmod(_x, _y));
<a name="l00237"></a>00237 }
<a name="l00238"></a>00238
<a name="l00239"></a>00239 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00240"></a>00240 <span class="keyword">inline</span> T Math<T>::InvSqrt(T _val) {
<a name="l00241"></a>00241 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(1/std::sqrt(_val));
<a name="l00242"></a>00242 }
<a name="l00243"></a>00243
<a name="l00244"></a>00244 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00245"></a>00245 <span class="keyword">inline</span> T Math<T>::Log(T _val) {
<a name="l00246"></a>00246 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::log(_val));
<a name="l00247"></a>00247 }
<a name="l00248"></a>00248
<a name="l00249"></a>00249 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00250"></a>00250 <span class="keyword">inline</span> T Math<T>::Log2(T _val) {
<a name="l00251"></a>00251 <span class="keywordflow">return</span> invLog2() * <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::log(_val));
<a name="l00252"></a>00252 }
<a name="l00253"></a>00253 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00254"></a>00254 <span class="keyword">inline</span> T Math<T>::Log10(T _val) {
<a name="l00255"></a>00255
<a name="l00256"></a>00256 <span class="keywordflow">return</span> invLog10() * <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::log(_val));
<a name="l00257"></a>00257 }
<a name="l00258"></a>00258
<a name="l00259"></a>00259 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00260"></a>00260 <span class="keyword">inline</span> T Math<T>::Pow(T _base, T _exponent) {
<a name="l00261"></a>00261 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::pow(_base, _exponent));
<a name="l00262"></a>00262 }
<a name="l00263"></a>00263
<a name="l00264"></a>00264 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00265"></a>00265 <span class="keyword">inline</span> T Math<T>::Sin(T _val) {
<a name="l00266"></a>00266 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::sin(_val));
<a name="l00267"></a>00267 }
<a name="l00268"></a>00268
<a name="l00269"></a>00269 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00270"></a>00270 <span class="keyword">inline</span> T Math<T>::Sqr(T _val) {
<a name="l00271"></a>00271 <span class="keywordflow">return</span> _val*_val;
<a name="l00272"></a>00272 }
<a name="l00273"></a>00273
<a name="l00274"></a>00274 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00275"></a>00275 <span class="keyword">inline</span> T Math<T>::Sqrt(T _val) {
<a name="l00276"></a>00276 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::sqrt(_val));
<a name="l00277"></a>00277 }
<a name="l00278"></a>00278
<a name="l00279"></a>00279 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00280"></a>00280 <span class="keyword">inline</span> T Math<T>::Tan(T _val) {
<a name="l00281"></a>00281 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(std::tan(_val));
<a name="l00282"></a>00282 }
<a name="l00283"></a>00283
<a name="l00286"></a><a class="code" href="namespace_f_i_f_e.html#a7c99a2ec0040e8915417b7b307df22b4">00286</a> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <a class="code" href="namespace_f_i_f_e.html#a7c99a2ec0040e8915417b7b307df22b4">nextPow2</a>(<span class="keywordtype">unsigned</span> x)
<a name="l00287"></a>00287 {
<a name="l00288"></a>00288 --x;
<a name="l00289"></a>00289 x |= x >> 1;
<a name="l00290"></a>00290 x |= x >> 2;
<a name="l00291"></a>00291 x |= x >> 4;
<a name="l00292"></a>00292 x |= x >> 8;
<a name="l00293"></a>00293 x |= x >> 16;
<a name="l00294"></a>00294 <span class="keywordflow">return</span> ++x;
<a name="l00295"></a>00295 }
<a name="l00296"></a>00296 } <span class="comment">//FIFE</span>
<a name="l00297"></a>00297
<a name="l00298"></a>00298 <span class="preprocessor">#endif // FIFE_UTIL_FIFE_MATH_H</span>
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