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<li class="navelem"><a class="el" href="dir_934f46a345653ef2b3014a1b37a162c1.html">G:</a></li><li class="navelem"><a class="el" href="dir_bf513233250988b6ff3b72f8482c1597.html">Repository</a></li><li class="navelem"><a class="el" href="dir_e217bba5d90990da93f61f0ea8b942dc.html">glm</a></li><li class="navelem"><a class="el" href="dir_a844bf6d5a07b8853f8463b41029861e.html">glm</a></li><li class="navelem"><a class="el" href="dir_1a190e7f93f4503d85aaef18e89b9041.html">gtc</a></li> </ul>
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<div class="title">gtc/quaternion.hpp</div> </div>
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<div class="contents">
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<a href="a00076.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> </div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> </div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> </div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#ifndef GLM_GTC_quaternion</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"></span><span class="preprocessor">#define GLM_GTC_quaternion GLM_VERSION</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "../glm.hpp"</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "../gtc/half_float.hpp"</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(glm_ext))</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"></span><span class="preprocessor"># pragma message("GLM: GLM_GTC_quaternion extension included")</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">namespace </span>glm{</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">namespace </span>detail</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> {</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">struct </span>tquat<span class="comment">// : public genType<T, tquat></span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">enum</span> ctor{null};</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">typedef</span> T value_type;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">typedef</span> std::size_t size_type;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  value_type x, y, z, w;</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  GLM_FUNC_DECL size_type <a class="code" href="a00131.html#ga282360c8bb80b80d3c7f5bc00766d873" title="Returns the length of x, i.e., sqrt(x * x).">length</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// Constructors</span></div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  tquat();</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  value_type <span class="keyword">const</span> & s, </div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  glm::detail::tvec3<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  value_type <span class="keyword">const</span> & w, </div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  value_type <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  value_type <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  value_type <span class="keyword">const</span> & z);</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// Convertions</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  tvec3<T> <span class="keyword">const</span> & <a class="code" href="a00153.html#gaa53e0e8933e176c6207720433fb8dd2b" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>);</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  tmat3x3<T> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  tmat4x4<T> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">// Accesses</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  value_type & operator[](<span class="keywordtype">int</span> i);</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  value_type <span class="keyword">const</span> & operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// Operators</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  tquat<T> & operator*=(value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  tquat<T> & operator/=(value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  };</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  detail::tquat<T> operator- (</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  detail::tquat<T> operator+ ( </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  detail::tquat<T> <span class="keyword">const</span> & p); </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  detail::tquat<T> operator* ( </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  detail::tquat<T> <span class="keyword">const</span> & p); </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  detail::tvec3<T> operator* (</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  detail::tvec3<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  detail::tvec3<T> operator* (</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  detail::tvec3<T> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  detail::tvec4<T> operator* (</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  detail::tvec4<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  detail::tvec4<T> operator* (</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  detail::tvec4<T> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  detail::tquat<T> operator* (</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  detail::tquat<T> operator* (</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s,</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  detail::tquat<T> operator/ (</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> } <span class="comment">//namespace detail</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  T <a class="code" href="a00131.html#ga282360c8bb80b80d3c7f5bc00766d873" title="Returns the length of x, i.e., sqrt(x * x).">length</a>(</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  detail::tquat<T> <a class="code" href="a00131.html#ga68b931c228750eeba844c273c54ca43d" title="Returns a vector in the same direction as x but with length of 1.">normalize</a>(</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  T <a class="code" href="a00131.html#ga7a31d2864eccfe665409e3b44f5e6e8d" title="Returns the dot product of x and y, i.e., result = x * y.">dot</a>(</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  detail::tquat<T> <span class="keyword">const</span> & q1, </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  detail::tquat<T> <span class="keyword">const</span> & q2);</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  detail::tquat<T> <a class="code" href="a00129.html#ga3f64b3986efe205cf30300700667e761">mix</a>(</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  detail::tquat<T> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  detail::tquat<T> <a class="code" href="a00153.html#ga8b6594dffb8bf455d848ffa2169ba41d" title="Returns the q conjugate.">conjugate</a>(</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  detail::tquat<T> <a class="code" href="a00133.html#gada3384a86cf38a1fd96275194b8ba8c0" title="Return the inverse of a mat2 matrix.">inverse</a>(</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  detail::tquat<T> <a class="code" href="a00151.html#gaacb9cbe8f93a8fef9dc3e25559df19c0" title="Builds a rotation 4 * 4 matrix created from an axis vector and an angle.">rotate</a>(</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">typename</span> detail::tquat<T>::value_type <span class="keyword">const</span> & <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  detail::tvec3<T> <span class="keyword">const</span> & <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>);</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  detail::tvec3<T> <a class="code" href="a00153.html#gaa53e0e8933e176c6207720433fb8dd2b" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>(</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  detail::tmat3x3<T> <a class="code" href="a00153.html#gae04ce320008c9bec0037b4ba21853cb5" title="Converts a quaternion to a 3 * 3 matrix.">mat3_cast</a>(</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  detail::tmat4x4<T> <a class="code" href="a00153.html#ga8c376eb15971eb52d85df5ee26825627" title="Converts a quaternion to a 4 * 4 matrix.">mat4_cast</a>(</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  detail::tquat<T> <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  detail::tmat3x3<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  detail::tquat<T> <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  detail::tmat4x4<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  valType <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>(</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  detail::tvec3<valType> <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>(</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  detail::tquat<valType> <a class="code" href="a00153.html#gaafc03953867e42a39dc08575ad4532ad" title="Build a quaternion from an angle and a normalized axis.">angleAxis</a>(</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  valType <span class="keyword">const</span> & <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  valType <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  valType <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  valType <span class="keyword">const</span> & z);</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  detail::tquat<valType> <a class="code" href="a00153.html#gaafc03953867e42a39dc08575ad4532ad" title="Build a quaternion from an angle and a normalized axis.">angleAxis</a>(</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  valType <span class="keyword">const</span> & <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  detail::tvec3<valType> <span class="keyword">const</span> & <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>);</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
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<div class="line"><a name="l00286"></a><span class="lineno"><a class="code" href="a00153.html#ga60408579db470456070a3336295625a7"> 286</a></span>  <span class="keyword">typedef</span> detail::tquat<float> <a class="code" href="a00153.html#ga60408579db470456070a3336295625a7" title="Quaternion of floating-point numbers.">quat</a>;</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> </div>
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<div class="line"><a name="l00291"></a><span class="lineno"><a class="code" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3"> 291</a></span>  <span class="keyword">typedef</span> detail::tquat<detail::half> <a class="code" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3" title="Quaternion of half-precision floating-point numbers.">hquat</a>;</div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
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<div class="line"><a name="l00296"></a><span class="lineno"><a class="code" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662"> 296</a></span>  <span class="keyword">typedef</span> detail::tquat<float> <a class="code" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662" title="Quaternion of single-precision floating-point numbers.">fquat</a>;</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> </div>
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<div class="line"><a name="l00301"></a><span class="lineno"><a class="code" href="a00153.html#ga5428321324094c7170d6133c8139d255"> 301</a></span>  <span class="keyword">typedef</span> detail::tquat<double> <a class="code" href="a00153.html#ga5428321324094c7170d6133c8139d255" title="Quaternion of double-precision floating-point numbers.">dquat</a>;</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> </div>
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<div class="line"><a name="l00306"></a><span class="lineno"><a class="code" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594"> 306</a></span>  <span class="keyword">typedef</span> detail::tquat<lowp_float> <a class="code" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594" title="Quaternion of low precision floating-point numbers.">lowp_quat</a>;</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div>
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<div class="line"><a name="l00311"></a><span class="lineno"><a class="code" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8"> 311</a></span>  <span class="keyword">typedef</span> detail::tquat<mediump_float> <a class="code" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8" title="Quaternion of medium precision floating-point numbers.">mediump_quat</a>;</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> </div>
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<div class="line"><a name="l00316"></a><span class="lineno"><a class="code" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c"> 316</a></span>  <span class="keyword">typedef</span> detail::tquat<highp_float> <a class="code" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c" title="Quaternion of high precision floating-point numbers.">highp_quat</a>;</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> } <span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> </div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="preprocessor">#include "quaternion.inl"</span></div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> </div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="preprocessor">#endif//GLM_GTC_quaternion</span></div>
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