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321 lines
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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="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> </div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#ifndef GLM_GTC_quaternion</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</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="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "../glm.hpp"</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "../gtc/half_float.hpp"</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "../gtc/constants.hpp"</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(glm_ext))</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</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="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">namespace </span>glm{</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">namespace </span>detail</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</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="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">enum</span> ctor{null};</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">typedef</span> T value_type;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">typedef</span> std::size_t size_type;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  value_type x, y, z, w;</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>  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="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// Constructors</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  tquat();</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  value_type <span class="keyword">const</span> & s, </div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  glm::detail::tvec3<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  value_type <span class="keyword">const</span> & w, </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  value_type <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  value_type <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  value_type <span class="keyword">const</span> & z);</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="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Convertions</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </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>  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="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>  tmat3x3<T> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  tmat4x4<T> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// Accesses</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  value_type & operator[](<span class="keywordtype">int</span> i);</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</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="l00092"></a><span class="lineno"> 92</span> </div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// Operators</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  tquat<T> & operator*=(value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  tquat<T> & operator/=(value_type <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  };</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  detail::tquat<T> operator- (</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  detail::tquat<T> operator+ ( </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  detail::tquat<T> <span class="keyword">const</span> & p); </div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  detail::tquat<T> operator* ( </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  detail::tquat<T> <span class="keyword">const</span> & p); </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  detail::tvec3<T> operator* (</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  detail::tvec3<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  detail::tvec3<T> operator* (</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  detail::tvec3<T> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  detail::tvec4<T> operator* (</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  detail::tvec4<T> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  detail::tvec4<T> operator* (</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  detail::tvec4<T> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  detail::tquat<T> operator* (</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</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="l00136"></a><span class="lineno"> 136</span> </div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  detail::tquat<T> operator* (</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</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="l00140"></a><span class="lineno"> 140</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  detail::tquat<T> operator/ (</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</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="l00146"></a><span class="lineno"> 146</span> </div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> } <span class="comment">//namespace detail</span></div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</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="l00157"></a><span class="lineno"> 157</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</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="l00164"></a><span class="lineno"> 164</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</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="l00171"></a><span class="lineno"> 171</span>  detail::tquat<T> <span class="keyword">const</span> & q1, </div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  detail::tquat<T> <span class="keyword">const</span> & q2);</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</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="a00129.html#ga3f64b3986efe205cf30300700667e761">mix</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> & x, </div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  detail::tquat<T> <a class="code" href="a00153.html#ga91c6605e46a8c70c8e25bbc0f41da181" title="Linear interpolation of two quaternions.">lerp</a>(</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  detail::tquat<T> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  detail::tquat<T> <a class="code" href="a00153.html#ga4acb60c1b472fc6cb5322a63ca1cf9a4" title="Spherical linear interpolation of two quaternions.">slerp</a>(</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  detail::tquat<T> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  detail::tquat<T> <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</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="l00223"></a><span class="lineno"> 223</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> </div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</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="l00230"></a><span class="lineno"> 230</span>  detail::tquat<T> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</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="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="l00241"></a><span class="lineno"> 241</span>  detail::tquat<T> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</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="l00243"></a><span class="lineno"> 243</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="l00244"></a><span class="lineno"> 244</span> </div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</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="l00250"></a><span class="lineno"> 250</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> </div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  valType <a class="code" href="a00153.html#ga7ef4c8c1ce1ca988add2f73392db0a06" title="Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees oth...">roll</a>(</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  valType <a class="code" href="a00153.html#gaf2a0323dbf6c6fb3f37b445aa899c1c7" title="Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees ot...">pitch</a>(</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  valType <a class="code" href="a00153.html#gaac012c1a6bc37ce07a87745d9c596eed" title="Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees othe...">yaw</a>(</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> </div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</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="l00278"></a><span class="lineno"> 278</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</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="l00285"></a><span class="lineno"> 285</span>  detail::tquat<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> </div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</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="l00292"></a><span class="lineno"> 292</span>  detail::tmat3x3<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</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="l00299"></a><span class="lineno"> 299</span>  detail::tmat4x4<T> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</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="l00306"></a><span class="lineno"> 306</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</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"> 311</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</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="l00313"></a><span class="lineno"> 313</span>  detail::tquat<valType> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</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="l00325"></a><span class="lineno"> 325</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="l00326"></a><span class="lineno"> 326</span>  valType <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  valType <span class="keyword">const</span> & y, </div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  valType <span class="keyword">const</span> & z);</div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> </div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> valType> </div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</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="l00338"></a><span class="lineno"> 338</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="l00339"></a><span class="lineno"> 339</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="l00340"></a><span class="lineno"> 340</span> </div>
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<div class="line"><a name="l00344"></a><span class="lineno"><a class="code" href="a00153.html#ga60408579db470456070a3336295625a7"> 344</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="l00345"></a><span class="lineno"> 345</span> </div>
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<div class="line"><a name="l00349"></a><span class="lineno"><a class="code" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3"> 349</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="l00350"></a><span class="lineno"> 350</span> </div>
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<div class="line"><a name="l00354"></a><span class="lineno"><a class="code" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662"> 354</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="l00355"></a><span class="lineno"> 355</span> </div>
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<div class="line"><a name="l00359"></a><span class="lineno"><a class="code" href="a00153.html#ga5428321324094c7170d6133c8139d255"> 359</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="l00360"></a><span class="lineno"> 360</span> </div>
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<div class="line"><a name="l00364"></a><span class="lineno"><a class="code" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594"> 364</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="l00365"></a><span class="lineno"> 365</span> </div>
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<div class="line"><a name="l00369"></a><span class="lineno"><a class="code" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8"> 369</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="l00370"></a><span class="lineno"> 370</span> </div>
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<div class="line"><a name="l00374"></a><span class="lineno"><a class="code" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c"> 374</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="l00375"></a><span class="lineno"> 375</span> </div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> } <span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="preprocessor">#include "quaternion.inl"</span></div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> </div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="preprocessor">#endif//GLM_GTC_quaternion</span></div>
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