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 <span id="projectnumber">0.9.5</span>
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<div class="title">gtc/quaternion.hpp</div> </div>
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</div><!--header-->
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<div class="contents">
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<a href="a00098.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="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</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 "../mat3x3.hpp"</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "../mat4x4.hpp"</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "../vec3.hpp"</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "../vec4.hpp"</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "../gtc/constants.hpp"</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</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="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">namespace </span>glm{</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">namespace </span>detail</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> {</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">struct </span>tquat</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">enum</span> ctor{null};</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">typedef</span> tvec4<bool, P> bool_type;</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>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  T x, y, z, w;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  GLM_FUNC_DECL GLM_CONSTEXPR length_t <a class="code" href="a00157.html#ga03b2831439defb8922832b540b91b8a7">length</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// Constructors</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  GLM_FUNC_DECL tquat();</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U, precision Q></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  tquat<U, Q> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  T <span class="keyword">const</span> & s,</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  tvec3<T, P> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  T <span class="keyword">const</span> & w,</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  T <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  T <span class="keyword">const</span> & y,</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  T <span class="keyword">const</span> & z);</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor">#if(GLM_HAS_INITIALIZER_LISTS)</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor"></span> <span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  GLM_FUNC_DECL tquat(std::initializer_list<U> l);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor">#endif//GLM_HAS_INITIALIZER_LISTS</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// Convertions</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  detail::tvec3<T, P> <span class="keyword">const</span> & u,</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  detail::tvec3<T, P> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00179.html#gade4034f49ccadf63cb31a7fb5fa3c8aa">eulerAngles</a>);</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  tmat3x3<T, P> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  tmat4x4<T, P> <span class="keyword">const</span> & m);</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="comment">// Accesses</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  GLM_FUNC_DECL T & operator[](length_t i);</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  GLM_FUNC_DECL T <span class="keyword">const</span> & operator[](length_t i) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// Operators</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  GLM_FUNC_DECL tquat<T, P> & operator+=(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  GLM_FUNC_DECL tquat<T, P> & operator*=(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  GLM_FUNC_DECL tquat<T, P> & operator*=(T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  GLM_FUNC_DECL tquat<T, P> & operator/=(T <span class="keyword">const</span> & s);</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> </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  GLM_FUNC_DECL detail::tquat<T, P> operator- (</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  detail::tquat<T, P> <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, precision P></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  GLM_FUNC_DECL detail::tquat<T, P> operator+ (</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  detail::tquat<T, P> <span class="keyword">const</span> & p);</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, precision P></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  GLM_FUNC_DECL detail::tquat<T, P> operator* (</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  detail::tquat<T, P> <span class="keyword">const</span> & p);</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, precision P></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  GLM_FUNC_DECL detail::tvec3<T, P> operator* (</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  detail::tvec3<T, P> <span class="keyword">const</span> & v);</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, precision P></div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  GLM_FUNC_DECL detail::tvec3<T, P> operator* (</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  detail::tvec3<T, P> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  detail::tquat<T, P> <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, precision P></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  GLM_FUNC_DECL detail::tvec4<T, P> operator* (</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  detail::tquat<T, P> <span class="keyword">const</span> & q, </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  detail::tvec4<T, P> <span class="keyword">const</span> & v);</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="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  GLM_FUNC_DECL detail::tvec4<T, P> operator* (</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  detail::tvec4<T, P> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</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="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  GLM_FUNC_DECL detail::tquat<T, P> operator* (</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  T <span class="keyword">const</span> & s);</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="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  GLM_FUNC_DECL detail::tquat<T, P> operator* (</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  T <span class="keyword">const</span> & s,</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</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, precision P></div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  GLM_FUNC_DECL detail::tquat<T, P> operator/ (</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> } <span class="comment">//namespace detail</span></div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> </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, precision P></div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  GLM_FUNC_DECL T <a class="code" href="a00157.html#ga03b2831439defb8922832b540b91b8a7">length</a>(</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00157.html#ga15aa87101457e41663b08a8dcc3357f8">normalize</a>(</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P, <span class="keyword">template</span> <<span class="keyword">typename</span>, precision> <span class="keyword">class </span>quatType></div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  GLM_FUNC_DECL T <a class="code" href="a00157.html#ga7dada304da2ba7dd3376ab4f178c3f6b">dot</a>(</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  quatType<T, P> <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  quatType<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> </div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00155.html#ga78aae7eea618ca112053d59fe03db239">mix</a>(</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  detail::tquat<T, P> <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  detail::tquat<T, P> <span class="keyword">const</span> & y,</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</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, precision P></div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#gafc1c989eaa2c786d34218b176f680fe0">lerp</a>(</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  detail::tquat<T, P> <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  detail::tquat<T, P> <span class="keyword">const</span> & y,</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</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, precision P></div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#ga7468a211a20ea56ea5cfb0625226868a">slerp</a>(</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  detail::tquat<T, P> <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  detail::tquat<T, P> <span class="keyword">const</span> & y,</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> </div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#gaf78006c47276b151777fc194cf11a688">conjugate</a>(</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</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, precision P></div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#ga6613ef61cb980a18f19ece5f421564da">inverse</a>(</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</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="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00176.html#ga61e65a3bb227c267d1a15113d1056fb1">rotate</a>(</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  T <span class="keyword">const</span> & <a class="code" href="a00179.html#ga23a3fc7ada5bbb665ff84c92c6e0542c">angle</a>,</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  detail::tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00179.html#ga8eef9f8c3f2e4836dccf09df975b20fb">axis</a>);</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</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> T, precision P></div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  GLM_FUNC_DECL detail::tvec3<T, P> <a class="code" href="a00179.html#gade4034f49ccadf63cb31a7fb5fa3c8aa">eulerAngles</a>(</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  detail::tquat<T, P> <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, precision P></div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  GLM_FUNC_DECL T <a class="code" href="a00179.html#ga6d883e423bc425f4334fcce202131f7e">roll</a>(detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  GLM_FUNC_DECL T <a class="code" href="a00179.html#ga4d345dc369a54f53f5ebc375bac56d11">pitch</a>(detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  GLM_FUNC_DECL T <a class="code" href="a00179.html#ga1de7653ddf380ff06d2300eea831664c">yaw</a>(detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  GLM_FUNC_DECL detail::tmat3x3<T, P> <a class="code" href="a00179.html#ga65257c3494022ad80a50ce11da95049d">mat3_cast</a>(</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  detail::tquat<T, P> <span class="keyword">const</span> & x);</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"> 301</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  GLM_FUNC_DECL detail::tmat4x4<T, P> <a class="code" href="a00179.html#gafc4e34c836f7ccb5f3bb2a0373c831e0">mat4_cast</a>(</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> </div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">quat_cast</a>(</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  detail::tmat3x3<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
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<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">quat_cast</a>(</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  detail::tmat4x4<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> </div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  GLM_FUNC_DECL T <a class="code" href="a00179.html#ga23a3fc7ada5bbb665ff84c92c6e0542c">angle</a>(detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  GLM_FUNC_DECL detail::tvec3<T, P> <a class="code" href="a00179.html#ga8eef9f8c3f2e4836dccf09df975b20fb">axis</a>(</div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  detail::tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  GLM_FUNC_DECL detail::tquat<T, P> <a class="code" href="a00179.html#ga771b3e16cca8324e7111b923476be666">angleAxis</a>(</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  T <span class="keyword">const</span> & <a class="code" href="a00179.html#ga23a3fc7ada5bbb665ff84c92c6e0542c">angle</a>,</div>
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<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  detail::tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00179.html#ga8eef9f8c3f2e4836dccf09df975b20fb">axis</a>);</div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00179.html#ga4e4c37b86cecde7e1076c5b5fdb920b9">lessThan</a>(</div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> </div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00163.html#ga2167b22ac086c5791a4740932b62b685">lessThanEqual</a>(</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00163.html#gac9163d451231eb3eaae2c6b3da5add6a">greaterThan</a>(</div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00163.html#gad1385064aa2fc7aaae37aa95daea9c31">greaterThanEqual</a>(</div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> </div>
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<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00179.html#ga32ff2cc6fb576639a6237d8d8ed5818b">equal</a>(</div>
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<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> </div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  GLM_FUNC_DECL detail::tvec4<bool, P> <a class="code" href="a00163.html#ga85d7bc5613c4dcc2d5873ec9d6ed4c19">notEqual</a>(</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  detail::tquat<T, P> <span class="keyword">const</span> & x, </div>
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<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  detail::tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> </div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> } <span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> </div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="preprocessor">#include "quaternion.inl"</span></div>
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<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> </div>
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<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="preprocessor">#endif//GLM_GTC_quaternion</span></div>
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<div class="ttc" id="a00157_html_ga7dada304da2ba7dd3376ab4f178c3f6b"><div class="ttname"><a href="a00157.html#ga7dada304da2ba7dd3376ab4f178c3f6b">glm::dot</a></div><div class="ttdeci">GLM_FUNC_DECL T dot(vecType< T, P > const &x, vecType< T, P > const &y)</div><div class="ttdoc">Returns the dot product of x and y, i.e., result = x * y. </div></div>
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<div class="ttc" id="a00163_html_ga85d7bc5613c4dcc2d5873ec9d6ed4c19"><div class="ttname"><a href="a00163.html#ga85d7bc5613c4dcc2d5873ec9d6ed4c19">glm::notEqual</a></div><div class="ttdeci">GLM_FUNC_DECL vecType< T, P >::bool_type notEqual(vecType< T, P > const &x, vecType< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x == y. </div></div>
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<div class="ttc" id="a00179_html_gafc1c989eaa2c786d34218b176f680fe0"><div class="ttname"><a href="a00179.html#gafc1c989eaa2c786d34218b176f680fe0">glm::lerp</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > lerp(detail::tquat< T, P > const &x, detail::tquat< T, P > const &y, T const &a)</div><div class="ttdoc">Linear interpolation of two quaternions. </div></div>
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<div class="ttc" id="a00179_html_ga771b3e16cca8324e7111b923476be666"><div class="ttname"><a href="a00179.html#ga771b3e16cca8324e7111b923476be666">glm::angleAxis</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > angleAxis(T const &angle, detail::tvec3< T, P > const &axis)</div><div class="ttdoc">Build a quaternion from an angle and a normalized axis. </div></div>
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<div class="ttc" id="a00179_html_gafb826745dedb1760100bbd25d0f63fde"><div class="ttname"><a href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > quat_cast(detail::tmat3x3< T, P > const &x)</div><div class="ttdoc">Converts a 3 * 3 matrix to a quaternion. </div></div>
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<div class="ttc" id="a00176_html_ga61e65a3bb227c267d1a15113d1056fb1"><div class="ttname"><a href="a00176.html#ga61e65a3bb227c267d1a15113d1056fb1">glm::rotate</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat4x4< T, P > rotate(detail::tmat4x4< T, P > const &m, T const &angle, detail::tvec3< T, P > const &axis)</div><div class="ttdoc">Builds a rotation 4 * 4 matrix created from an axis vector and an angle. </div></div>
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<div class="ttc" id="a00155_html_ga78aae7eea618ca112053d59fe03db239"><div class="ttname"><a href="a00155.html#ga78aae7eea618ca112053d59fe03db239">glm::mix</a></div><div class="ttdeci">GLM_FUNC_DECL genTypeT mix(genTypeT const &x, genTypeT const &y, genTypeU const &a)</div><div class="ttdoc">If genTypeU is a floating scalar or vector: Returns x * (1.0 - a) + y * a, i.e., the linear blend of ...</div></div>
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<div class="ttc" id="a00179_html_ga23a3fc7ada5bbb665ff84c92c6e0542c"><div class="ttname"><a href="a00179.html#ga23a3fc7ada5bbb665ff84c92c6e0542c">glm::angle</a></div><div class="ttdeci">GLM_FUNC_DECL T angle(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns the quaternion rotation angle. </div></div>
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<div class="ttc" id="a00179_html_gade4034f49ccadf63cb31a7fb5fa3c8aa"><div class="ttname"><a href="a00179.html#gade4034f49ccadf63cb31a7fb5fa3c8aa">glm::eulerAngles</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tvec3< T, P > eulerAngles(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns euler angles, yitch as x, yaw as y, roll as z. </div></div>
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<div class="ttc" id="a00163_html_gad1385064aa2fc7aaae37aa95daea9c31"><div class="ttname"><a href="a00163.html#gad1385064aa2fc7aaae37aa95daea9c31">glm::greaterThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL vecType< T, P >::bool_type greaterThanEqual(vecType< T, P > const &x, vecType< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x &gt;= y. </div></div>
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<div class="ttc" id="a00157_html_ga15aa87101457e41663b08a8dcc3357f8"><div class="ttname"><a href="a00157.html#ga15aa87101457e41663b08a8dcc3357f8">glm::normalize</a></div><div class="ttdeci">GLM_FUNC_DECL genType normalize(genType const &x)</div><div class="ttdoc">Returns a vector in the same direction as x but with length of 1. </div></div>
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<div class="ttc" id="a00179_html_gafc4e34c836f7ccb5f3bb2a0373c831e0"><div class="ttname"><a href="a00179.html#gafc4e34c836f7ccb5f3bb2a0373c831e0">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat4x4< T, P > mat4_cast(detail::tquat< T, P > const &x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix. </div></div>
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<div class="ttc" id="a00157_html_ga03b2831439defb8922832b540b91b8a7"><div class="ttname"><a href="a00157.html#ga03b2831439defb8922832b540b91b8a7">glm::length</a></div><div class="ttdeci">GLM_FUNC_DECL genType::value_type length(genType const &x)</div><div class="ttdoc">Returns the length of x, i.e., sqrt(x * x). </div></div>
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<div class="ttc" id="a00179_html_ga6d883e423bc425f4334fcce202131f7e"><div class="ttname"><a href="a00179.html#ga6d883e423bc425f4334fcce202131f7e">glm::roll</a></div><div class="ttdeci">GLM_FUNC_DECL T roll(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees ot...</div></div>
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<div class="ttc" id="a00179_html_ga4e4c37b86cecde7e1076c5b5fdb920b9"><div class="ttname"><a href="a00179.html#ga4e4c37b86cecde7e1076c5b5fdb920b9">glm::lessThan</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tvec4< bool, P > lessThan(detail::tquat< T, P > const &x, detail::tquat< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison result of x &lt; y. </div></div>
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<div class="ttc" id="a00179_html_ga65257c3494022ad80a50ce11da95049d"><div class="ttname"><a href="a00179.html#ga65257c3494022ad80a50ce11da95049d">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat3x3< T, P > mat3_cast(detail::tquat< T, P > const &x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix. </div></div>
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<div class="ttc" id="a00179_html_ga8eef9f8c3f2e4836dccf09df975b20fb"><div class="ttname"><a href="a00179.html#ga8eef9f8c3f2e4836dccf09df975b20fb">glm::axis</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tvec3< T, P > axis(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns the q rotation axis. </div></div>
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<div class="ttc" id="a00179_html_ga32ff2cc6fb576639a6237d8d8ed5818b"><div class="ttname"><a href="a00179.html#ga32ff2cc6fb576639a6237d8d8ed5818b">glm::equal</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tvec4< bool, P > equal(detail::tquat< T, P > const &x, detail::tquat< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x == y. </div></div>
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<div class="ttc" id="a00179_html_ga7468a211a20ea56ea5cfb0625226868a"><div class="ttname"><a href="a00179.html#ga7468a211a20ea56ea5cfb0625226868a">glm::slerp</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > slerp(detail::tquat< T, P > const &x, detail::tquat< T, P > const &y, T const &a)</div><div class="ttdoc">Spherical linear interpolation of two quaternions. </div><div class="ttdef"><b>Definition:</b> <a href="a00017_source.html#l00073">compatibility.hpp:73</a></div></div>
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<div class="ttc" id="a00179_html_ga4d345dc369a54f53f5ebc375bac56d11"><div class="ttname"><a href="a00179.html#ga4d345dc369a54f53f5ebc375bac56d11">glm::pitch</a></div><div class="ttdeci">GLM_FUNC_DECL T pitch(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees o...</div></div>
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<div class="ttc" id="a00179_html_gaf78006c47276b151777fc194cf11a688"><div class="ttname"><a href="a00179.html#gaf78006c47276b151777fc194cf11a688">glm::conjugate</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > conjugate(detail::tquat< T, P > const &q)</div><div class="ttdoc">Returns the q conjugate. </div></div>
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<div class="ttc" id="a00163_html_gac9163d451231eb3eaae2c6b3da5add6a"><div class="ttname"><a href="a00163.html#gac9163d451231eb3eaae2c6b3da5add6a">glm::greaterThan</a></div><div class="ttdeci">GLM_FUNC_DECL vecType< T, P >::bool_type greaterThan(vecType< T, P > const &x, vecType< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x &gt; y. </div></div>
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<div class="ttc" id="a00179_html_ga1de7653ddf380ff06d2300eea831664c"><div class="ttname"><a href="a00179.html#ga1de7653ddf380ff06d2300eea831664c">glm::yaw</a></div><div class="ttdeci">GLM_FUNC_DECL T yaw(detail::tquat< T, P > const &x)</div><div class="ttdoc">Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees oth...</div></div>
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<div class="ttc" id="a00179_html_ga6613ef61cb980a18f19ece5f421564da"><div class="ttname"><a href="a00179.html#ga6613ef61cb980a18f19ece5f421564da">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat< T, P > inverse(detail::tquat< T, P > const &q)</div><div class="ttdoc">Returns the q inverse. </div></div>
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<div class="ttc" id="a00163_html_ga2167b22ac086c5791a4740932b62b685"><div class="ttname"><a href="a00163.html#ga2167b22ac086c5791a4740932b62b685">glm::lessThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL vecType< T, P >::bool_type lessThanEqual(vecType< T, P > const &x, vecType< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison result of x &lt; y. </div></div>
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