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<div class="title">quaternion.hpp</div> </div>
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<div class="contents">
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001
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<a name="l00002"></a>00002 <span class="comment">// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)</span>
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<a name="l00004"></a>00004 <span class="comment"></span><span class="comment">// Created : 2009-05-21</span>
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<a name="l00005"></a>00005 <span class="comment">// Updated : 2010-02-04</span>
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<a name="l00006"></a>00006 <span class="comment">// Licence : This source is under MIT License</span>
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<a name="l00007"></a>00007 <span class="comment">// File : glm/gtc/quaternion.hpp</span>
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<a name="l00009"></a>00009 <span class="comment"></span><span class="comment">// Dependency:</span>
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<a name="l00010"></a>00010 <span class="comment">// - GLM core</span>
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<a name="l00011"></a>00011 <span class="comment">// - GLM_GTC_half_float</span>
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<a name="l00013"></a>00013 <span class="comment"></span><span class="comment">// ToDo:</span>
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<a name="l00014"></a>00014 <span class="comment">// - Study constructors with angles and axis</span>
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<a name="l00015"></a>00015 <span class="comment">// - Study constructors with vec3 that are the imaginary component of quaternion</span>
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<a name="l00017"></a>00017 <span class="comment"></span>
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<a name="l00018"></a>00018 <span class="preprocessor">#ifndef glm_gtc_quaternion</span>
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<a name="l00019"></a>00019 <span class="preprocessor"></span><span class="preprocessor">#define glm_gtc_quaternion</span>
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<a name="l00020"></a>00020 <span class="preprocessor"></span>
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<a name="l00021"></a>00021 <span class="comment">// Dependency:</span>
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<a name="l00022"></a>00022 <span class="preprocessor">#include "../glm.hpp"</span>
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<a name="l00023"></a>00023 <span class="preprocessor">#include "../gtc/half_float.hpp"</span>
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<a name="l00024"></a>00024
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<a name="l00025"></a>00025 <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(glm_ext))</span>
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<a name="l00026"></a>00026 <span class="preprocessor"></span><span class="preprocessor"># pragma message("GLM: GLM_GTC_quaternion extension included")</span>
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<a name="l00027"></a>00027 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
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<a name="l00028"></a>00028 <span class="preprocessor"></span>
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<a name="l00029"></a>00029 <span class="keyword">namespace </span>glm{
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<a name="l00030"></a>00030 <span class="keyword">namespace </span>detail
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<a name="l00031"></a>00031 {
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<a name="l00035"></a>00035 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00036"></a><a class="code" href="a00019.html">00036</a> <span class="keyword">struct </span><a class="code" href="a00019.html" title="Template for quaternion.">tquat</a><span class="comment">// : public genType<T, tquat></span>
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<a name="l00037"></a>00037 {
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<a name="l00038"></a>00038 <span class="keyword">typedef</span> T value_type;
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<a name="l00039"></a>00039
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<a name="l00040"></a>00040 <span class="keyword">public</span>:
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<a name="l00041"></a>00041 value_type x, y, z, w;
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<a name="l00042"></a>00042
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<a name="l00043"></a>00043 <span class="comment">// Constructors</span>
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<a name="l00044"></a>00044 <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>();
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<a name="l00045"></a>00045 <span class="keyword">explicit</span> <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>(
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<a name="l00046"></a>00046 value_type <span class="keyword">const</span> & s,
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<a name="l00047"></a>00047 <a class="code" href="a00021.html" title="Basic 3D vector type.">tvec3<T></a> <span class="keyword">const</span> & v);
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<a name="l00048"></a>00048 <span class="keyword">explicit</span> <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>(
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<a name="l00049"></a>00049 value_type <span class="keyword">const</span> & w,
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<a name="l00050"></a>00050 value_type <span class="keyword">const</span> & x,
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<a name="l00051"></a>00051 value_type <span class="keyword">const</span> & y,
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<a name="l00052"></a>00052 value_type <span class="keyword">const</span> & z);
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<a name="l00053"></a>00053
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<a name="l00054"></a>00054 <span class="comment">// Convertions</span>
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<a name="l00055"></a>00055 <span class="comment">//explicit tquat(valType const & pitch, valType const & yaw, valType const & roll);</span>
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<a name="l00057"></a>00057 <span class="comment"></span> <span class="keyword">explicit</span> <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>(
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<a name="l00058"></a>00058 <a class="code" href="a00021.html" title="Basic 3D vector type.">tvec3<T></a> <span class="keyword">const</span> & <a class="code" href="a00286.html#ga39be27be43d9f80ce5bfc5e1adf21412" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>);
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<a name="l00059"></a>00059 <span class="keyword">explicit</span> <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>(
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<a name="l00060"></a>00060 <a class="code" href="a00014.html" title="Template for 3 * 3 matrix of floating-point numbers.">tmat3x3<T></a> <span class="keyword">const</span> & m);
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<a name="l00061"></a>00061 <span class="keyword">explicit</span> <a class="code" href="a00019.html" title="Template for quaternion.">tquat</a>(
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<a name="l00062"></a>00062 <a class="code" href="a00018.html" title="Template for 4 * 4 matrix of floating-point numbers.">tmat4x4<T></a> <span class="keyword">const</span> & m);
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<a name="l00063"></a>00063
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<a name="l00064"></a>00064 <span class="comment">// Accesses</span>
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<a name="l00065"></a>00065 value_type & operator[](<span class="keywordtype">int</span> i);
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<a name="l00066"></a>00066 value_type <span class="keyword">const</span> & operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;
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<a name="l00067"></a>00067
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<a name="l00068"></a>00068 <span class="comment">// Operators</span>
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<a name="l00069"></a>00069 <a class="code" href="a00019.html" title="Template for quaternion.">tquat<T></a> & operator*=(value_type <span class="keyword">const</span> & s);
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<a name="l00070"></a>00070 <a class="code" href="a00019.html" title="Template for quaternion.">tquat<T></a> & operator/=(value_type <span class="keyword">const</span> & s);
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<a name="l00071"></a>00071 };
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<a name="l00072"></a>00072
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<a name="l00073"></a>00073 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00074"></a>00074 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator- (
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<a name="l00075"></a>00075 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00076"></a>00076
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<a name="l00077"></a>00077 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00078"></a>00078 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator+ (
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<a name="l00079"></a>00079 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00080"></a>00080 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & p);
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<a name="l00081"></a>00081
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<a name="l00082"></a>00082 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00083"></a>00083 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator* (
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<a name="l00084"></a>00084 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00085"></a>00085 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & p);
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<a name="l00086"></a>00086
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<a name="l00087"></a>00087 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00088"></a>00088 <a class="code" href="a00021.html" title="Basic 3D vector type.">detail::tvec3<T></a> operator* (
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<a name="l00089"></a>00089 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00090"></a>00090 <a class="code" href="a00021.html" title="Basic 3D vector type.">detail::tvec3<T></a> <span class="keyword">const</span> & v);
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<a name="l00091"></a>00091
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<a name="l00092"></a>00092 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00093"></a>00093 <a class="code" href="a00021.html" title="Basic 3D vector type.">detail::tvec3<T></a> operator* (
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<a name="l00094"></a>00094 <a class="code" href="a00021.html" title="Basic 3D vector type.">detail::tvec3<T></a> <span class="keyword">const</span> & v,
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<a name="l00095"></a>00095 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00096"></a>00096
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<a name="l00097"></a>00097 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00098"></a>00098 <a class="code" href="a00022.html" title="Basic 4D vector type.">detail::tvec4<T></a> operator* (
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<a name="l00099"></a>00099 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00100"></a>00100 <a class="code" href="a00022.html" title="Basic 4D vector type.">detail::tvec4<T></a> <span class="keyword">const</span> & v);
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<a name="l00101"></a>00101
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<a name="l00102"></a>00102 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00103"></a>00103 <a class="code" href="a00022.html" title="Basic 4D vector type.">detail::tvec4<T></a> operator* (
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<a name="l00104"></a>00104 <a class="code" href="a00022.html" title="Basic 4D vector type.">detail::tvec4<T></a> <span class="keyword">const</span> & v,
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<a name="l00105"></a>00105 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00106"></a>00106
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<a name="l00107"></a>00107 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00108"></a>00108 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator* (
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<a name="l00109"></a>00109 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00110"></a>00110 <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s);
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<a name="l00111"></a>00111
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<a name="l00112"></a>00112 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00113"></a>00113 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator* (
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<a name="l00114"></a>00114 <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s,
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<a name="l00115"></a>00115 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00116"></a>00116
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<a name="l00117"></a>00117 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00118"></a>00118 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> operator/ (
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<a name="l00119"></a>00119 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00120"></a>00120 <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s);
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<a name="l00121"></a>00121
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<a name="l00122"></a>00122 } <span class="comment">//namespace detail</span>
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<a name="l00123"></a>00123
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<a name="l00124"></a>00124 <span class="keyword">namespace </span>gtc{
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<a name="l00125"></a><a class="code" href="a00164.html">00125</a> <span class="keyword">namespace </span>quaternion
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<a name="l00126"></a>00126 {
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<a name="l00129"></a>00129
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<a name="l00132"></a>00132 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00133"></a>00133 <span class="keyword">typename</span> detail::tquat<T>::value_type <a class="code" href="a00245.html#gabb546279ee6acebe3fe64dce79e7e9f0" title="Returns the length of the quaternion.">length</a>(
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<a name="l00134"></a>00134 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00135"></a>00135
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<a name="l00138"></a>00138 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00139"></a>00139 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#gacca9518d4cb79922ccbcd2d01e886421" title="Returns the normalized quaternion.">normalize</a>(
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<a name="l00140"></a>00140 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00141"></a>00141
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<a name="l00144"></a>00144 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00145"></a>00145 <span class="keyword">typename</span> detail::tquat<T>::value_type <a class="code" href="a00245.html#gaae0285ab092999b98c4f4c8455eeee9f" title="Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...">dot</a>(
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<a name="l00146"></a>00146 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q1,
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<a name="l00147"></a>00147 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q2);
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<a name="l00148"></a>00148
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<a name="l00151"></a>00151 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00152"></a>00152 GLM_DEPRECATED <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga6fe2d33aa0cdf188ab362355ad4108c4" title="Returns the cross product of q1 and q2.">cross</a>(
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<a name="l00153"></a>00153 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q1,
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<a name="l00154"></a>00154 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q2);
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<a name="l00155"></a>00155
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<a name="l00158"></a>00158 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00159"></a>00159 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga7cacada583bca8e51e9c67f9cd7e69cb" title="Returns a SLERP interpolated quaternion of x and y according a.">mix</a>(
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<a name="l00160"></a>00160 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & x,
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<a name="l00161"></a>00161 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & y,
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<a name="l00162"></a>00162 T <span class="keyword">const</span> & a);
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<a name="l00163"></a>00163
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<a name="l00166"></a>00166 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00167"></a>00167 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#gac66280c86e8efa619ad7dddb2d475aa7" title="Returns the q conjugate.">conjugate</a>(
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<a name="l00168"></a>00168 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00169"></a>00169
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<a name="l00172"></a>00172 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00173"></a>00173 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga12e7d58d287f181ec2ebf47bc6af6c5c" title="Returns the q inverse.">inverse</a>(
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<a name="l00174"></a>00174 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q);
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<a name="l00175"></a>00175
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<a name="l00178"></a>00178 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00179"></a>00179 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga98c5928aefea9c200a285a5f1c3a0da5" title="Rotates a quaternion from an vector of 3 components axis and an angle expressed in degrees...">rotate</a>(
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<a name="l00180"></a>00180 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & q,
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<a name="l00181"></a>00181 <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & <a class="code" href="a00286.html#ga6a3387a7d60728f60d86546b2f4d4d30" title="Returns the quaternion rotation angle.">angle</a>,
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<a name="l00182"></a>00182 <a class="code" href="a00021.html" title="Basic 3D vector type.">detail::tvec3<T></a> <span class="keyword">const</span> & v);
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<a name="l00183"></a>00183
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<a name="l00186"></a>00186 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00187"></a>00187 <a class="code" href="a00014.html" title="Template for 3 * 3 matrix of floating-point numbers.">detail::tmat3x3<T></a> <a class="code" href="a00245.html#ga38702707009c743e9f304aadc25aeeeb" title="Converts a quaternion to a 3 * 3 matrix.">mat3_cast</a>(
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<a name="l00188"></a>00188 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & x);
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<a name="l00189"></a>00189
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<a name="l00192"></a>00192 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00193"></a>00193 <a class="code" href="a00018.html" title="Template for 4 * 4 matrix of floating-point numbers.">detail::tmat4x4<T></a> <a class="code" href="a00245.html#gae2d14d52f9fef3da00cf867f9e2e3dfa" title="Converts a quaternion to a 4 * 4 matrix.">mat4_cast</a>(
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<a name="l00194"></a>00194 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <span class="keyword">const</span> & x);
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<a name="l00195"></a>00195
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<a name="l00198"></a>00198 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00199"></a>00199 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga9a8fa3c0a776ce21fde307d94f5a5a52" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(
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<a name="l00200"></a>00200 <a class="code" href="a00014.html" title="Template for 3 * 3 matrix of floating-point numbers.">detail::tmat3x3<T></a> <span class="keyword">const</span> & x);
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<a name="l00201"></a>00201
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<a name="l00204"></a>00204 <span class="keyword">template</span> <<span class="keyword">typename</span> T>
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<a name="l00205"></a>00205 <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<T></a> <a class="code" href="a00245.html#ga9a8fa3c0a776ce21fde307d94f5a5a52" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(
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<a name="l00206"></a>00206 <a class="code" href="a00018.html" title="Template for 4 * 4 matrix of floating-point numbers.">detail::tmat4x4<T></a> <span class="keyword">const</span> & x);
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<a name="l00207"></a>00207
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<a name="l00210"></a><a class="code" href="a00245.html#ga60408579db470456070a3336295625a7">00210</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<float></a> <a class="code" href="a00245.html#ga60408579db470456070a3336295625a7" title="Quaternion of floating-point numbers.">quat</a>;
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<a name="l00211"></a>00211
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<a name="l00214"></a><a class="code" href="a00245.html#ga552e75db1669a7a86b59070d4efd6941">00214</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<detail::thalf></a> <a class="code" href="a00245.html#ga552e75db1669a7a86b59070d4efd6941" title="Quaternion of half-precision floating-point numbers.">hquat</a>;
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<a name="l00215"></a>00215
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<a name="l00218"></a><a class="code" href="a00245.html#gaae07c293efbe1c530ff18044a15fe662">00218</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<float></a> <a class="code" href="a00245.html#gaae07c293efbe1c530ff18044a15fe662" title="Quaternion of single-precision floating-point numbers.">fquat</a>;
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<a name="l00219"></a>00219
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<a name="l00222"></a><a class="code" href="a00245.html#ga5428321324094c7170d6133c8139d255">00222</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<double></a> <a class="code" href="a00245.html#ga5428321324094c7170d6133c8139d255" title="Quaternion of double-precision floating-point numbers.">dquat</a>;
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<a name="l00223"></a>00223
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<a name="l00226"></a><a class="code" href="a00245.html#ga5acd0f3e9f9e3c0e6577440443ec4594">00226</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<lowp_float></a> <a class="code" href="a00245.html#ga5acd0f3e9f9e3c0e6577440443ec4594" title="Quaternion of low precision floating-point numbers.">lowp_quat</a>;
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<a name="l00227"></a>00227
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<a name="l00230"></a><a class="code" href="a00245.html#gae93fe73ea5fe5e2150c2eb0641394dc8">00230</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<mediump_float></a> <a class="code" href="a00245.html#gae93fe73ea5fe5e2150c2eb0641394dc8" title="Quaternion of medium precision floating-point numbers.">mediump_quat</a>;
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<a name="l00231"></a>00231
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<a name="l00234"></a><a class="code" href="a00245.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">00234</a> <span class="keyword">typedef</span> <a class="code" href="a00019.html" title="Template for quaternion.">detail::tquat<highp_float></a> <a class="code" href="a00245.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c" title="Quaternion of high precision floating-point numbers.">highp_quat</a>;
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<a name="l00236"></a>00236
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<a name="l00237"></a>00237 } <span class="comment">//namespace quaternion</span>
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<a name="l00238"></a>00238 } <span class="comment">//namespace gtc</span>
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<a name="l00239"></a>00239 } <span class="comment">//namespace glm</span>
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<a name="l00240"></a>00240
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|
<a name="l00241"></a>00241 <span class="preprocessor">#include "quaternion.inl"</span>
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<a name="l00242"></a>00242
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|
<a name="l00243"></a>00243 <span class="keyword">namespace </span>glm{<span class="keyword">using namespace </span>gtc::quaternion;}
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<a name="l00244"></a>00244
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<a name="l00245"></a>00245 <span class="preprocessor">#endif//glm_gtc_quaternion</span>
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</pre></div></div>
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</div>
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