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<title>0.9.7: quaternion.hpp Source File</title>
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<div id="projectname">0.9.7
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<li class="navelem"><a class="el" href="dir_275089585c7fc1b5fd5d7d42c69cb1da.html">D:</a></li><li class="navelem"><a class="el" href="dir_7b98f88bffbed4b390b5f8f520d9c08e.html">Source</a></li><li class="navelem"><a class="el" href="dir_1f76e953200861345293ade84ac7fb6c.html">G-Truc</a></li><li class="navelem"><a class="el" href="dir_e29b03b892e0e25920d021a614d4db9b.html">glm</a></li><li class="navelem"><a class="el" href="dir_5ce58d942b2d0776e17a9a58abc01e04.html">glm</a></li><li class="navelem"><a class="el" href="dir_9440d7c11b99dcd7e5d369c7cf9802fe.html">gtc</a></li> </ul>
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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="a00094.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="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#pragma once</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "../mat3x3.hpp"</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "../mat4x4.hpp"</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "../vec3.hpp"</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "../vec4.hpp"</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "../gtc/constants.hpp"</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"># pragma message("GLM: GLM_GTC_quaternion extension included")</span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#endif</span></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">namespace </span><a class="code" href="a00146.html">glm</a></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</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">template</span> <<span class="keyword">typename</span> T, precision P = defaultp></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">struct </span>tquat</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// -- Implementation detail --</span></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>  <span class="keyword">typedef</span> tquat<T, P> type;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">typedef</span> T value_type;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor"># ifdef GLM_META_PROG_HELPERS</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">static</span> GLM_RELAXED_CONSTEXPR length_t components = 4;</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">static</span> GLM_RELAXED_CONSTEXPR precision prec = P;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="preprocessor"># endif//GLM_META_PROG_HELPERS</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// -- Data --</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  T x, y, z, w;</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">// -- Component accesses --</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="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor"># ifdef GLM_FORCE_SIZE_FUNC</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">typedef</span> <span class="keywordtype">size_t</span> size_type;</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  GLM_FUNC_DECL GLM_CONSTEXPR size_type size() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  GLM_FUNC_DECL T & operator[](size_type i);</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  GLM_FUNC_DECL T <span class="keyword">const</span> & operator[](size_type i) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor"># else</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">typedef</span> length_t length_type;</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  GLM_FUNC_DECL GLM_CONSTEXPR length_type <a class="code" href="a00177.html#gac682181783027544c8d251b4d3a60cf8">length</a>() <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>  GLM_FUNC_DECL T & operator[](length_type i);</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  GLM_FUNC_DECL T <span class="keyword">const</span> & operator[](length_type i) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="preprocessor"># endif//GLM_FORCE_SIZE_FUNC</span></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>  <span class="comment">// -- Implicit basic constructors --</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  GLM_FUNC_DECL tquat() GLM_DEFAULT_CTOR;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  GLM_FUNC_DECL tquat(tquat<T, P> const & q) GLM_DEFAULT;</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  template <precision Q></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  GLM_FUNC_DECL tquat(tquat<T, Q> const & q);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// -- Explicit basic constructors --</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  GLM_FUNC_DECL explicit tquat(ctor);</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  GLM_FUNC_DECL explicit tquat(T const & s, tvec3<T, P> const & v);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  GLM_FUNC_DECL tquat(T const & w, T const & x, T const & y, T const & z);</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// -- Conversion constructors --</span></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>  template <typename U, precision Q></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  GLM_FUNC_DECL GLM_EXPLICIT tquat(tquat<U, Q> const & q);</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="preprocessor"># if GLM_HAS_EXPLICIT_CONVERSION_OPERATORS</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> <span class="keyword">operator</span> tmat3x3<T, P>();</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> <span class="keyword">operator</span> tmat4x4<T, P>();</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="preprocessor"># endif</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(tvec3<T, P> <span class="keyword">const</span> & u, tvec3<T, P> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00177.html#gadb92ec1c1b0dd6b024176a73fbef3e64">eulerAngles</a>);</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(tmat3x3<T, P> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  GLM_FUNC_DECL <span class="keyword">explicit</span> tquat(tmat4x4<T, P> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// -- Unary arithmetic operators --</span></div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  GLM_FUNC_DECL tquat<T, P> & operator=(tquat<T, P> <span class="keyword">const</span> & m) GLM_DEFAULT;</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  GLM_FUNC_DECL tquat<T, P> & operator=(tquat<U, P> <span class="keyword">const</span> & m);</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  GLM_FUNC_DECL tquat<T, P> & operator+=(tquat<U, P> <span class="keyword">const</span> & q);</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> U></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  GLM_FUNC_DECL tquat<T, P> & operator*=(tquat<U, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  GLM_FUNC_DECL tquat<T, P> & operator*=(U s);</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  GLM_FUNC_DECL tquat<T, P> & operator/=(U s);</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="l00149"></a><span class="lineno"> 149</span> </div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="comment">// -- Unary bit operators --</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="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 tquat<T, P> operator-(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">// -- Binary operators --</span></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 tquat<T, P> operator+(tquat<T, P> <span class="keyword">const</span> & q, tquat<T, P> <span class="keyword">const</span> & p);</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> <span class="keyword">const</span> & q, tquat<T, P> <span class="keyword">const</span> & p);</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  GLM_FUNC_DECL tvec3<T, P> operator*(tquat<T, P> <span class="keyword">const</span> & q, tvec3<T, P> <span class="keyword">const</span> & v);</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="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  GLM_FUNC_DECL tvec3<T, P> operator*(tvec3<T, P> <span class="keyword">const</span> & v, tquat<T, P> <span class="keyword">const</span> & q);</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="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  GLM_FUNC_DECL tvec4<T, P> operator*(tquat<T, P> <span class="keyword">const</span> & q, tvec4<T, P> <span class="keyword">const</span> & v);</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="l00172"></a><span class="lineno"> 172</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  GLM_FUNC_DECL tvec4<T, P> operator*(tvec4<T, P> <span class="keyword">const</span> & v, tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</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 tquat<T, P> operator*(tquat<T, P> <span class="keyword">const</span> & q, T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  GLM_FUNC_DECL tquat<T, P> operator*(T <span class="keyword">const</span> & s, tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  GLM_FUNC_DECL tquat<T, P> operator/(tquat<T, P> <span class="keyword">const</span> & q, T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#gac682181783027544c8d251b4d3a60cf8">length</a>(tquat<T, P> <span class="keyword">const</span> & q);</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="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">normalize</a>(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</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="l00200"></a><span class="lineno"> 200</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#gac54dfc83de465a2d03e90d342242ab3d">dot</a>(quatType<T, P> <span class="keyword">const</span> & x, quatType<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</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, precision P></div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga31cc82178742c36450f5662bd4fb30b0">mix</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y, T a);</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga5692804fa4db9e762a1c19b607e54435">lerp</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y, T a);</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga22b438c7252f3fa5b773c9882471652a">slerp</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y, T a);</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#gab1ace864fbf189ffa368950001808a3c">conjugate</a>(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga5f47300c024c2d809944e6ac661d6d14">inverse</a>(tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#gaa8f42979c921e450ff2812fb43c25702">rotate</a>(tquat<T, P> <span class="keyword">const</span> & q, T <span class="keyword">const</span> & <a class="code" href="a00177.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>, tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00177.html#ga0b3e87a13b2708154b72259e50789a19">axis</a>);</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="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  GLM_FUNC_DECL tvec3<T, P> <a class="code" href="a00177.html#gadb92ec1c1b0dd6b024176a73fbef3e64">eulerAngles</a>(tquat<T, P> <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> T, precision P></div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#ga2c08b93a4261c10748fd4d2104346f17">pitch</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  GLM_FUNC_DECL tmat3x3<T, P> <a class="code" href="a00177.html#gae04c39422eb4e450ec8c4f45a1057b40">mat3_cast</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  GLM_FUNC_DECL tmat4x4<T, P> <a class="code" href="a00177.html#ga14bb2ddf028c91542763eb6f2bba47ef">mat4_cast</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga3e4615e9884dd0f41f5617b9848a5d9c">quat_cast</a>(tmat3x3<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> </div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga3e4615e9884dd0f41f5617b9848a5d9c">quat_cast</a>(tmat4x4<T, P> <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> T, precision P></div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  GLM_FUNC_DECL T <a class="code" href="a00177.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  GLM_FUNC_DECL tvec3<T, P> <a class="code" href="a00177.html#ga0b3e87a13b2708154b72259e50789a19">axis</a>(tquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  GLM_FUNC_DECL tquat<T, P> <a class="code" href="a00177.html#ga37ae19405f1ccf766f27e4fcd035d859">angleAxis</a>(T <span class="keyword">const</span> & <a class="code" href="a00177.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a>, tvec3<T, P> <span class="keyword">const</span> & <a class="code" href="a00177.html#ga0b3e87a13b2708154b72259e50789a19">axis</a>);</div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  GLM_FUNC_DECL tvec4<bool, P> <a class="code" href="a00177.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">lessThan</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  GLM_FUNC_DECL tvec4<bool, P> <a class="code" href="a00177.html#ga7c81996ed2724f26fe76faf352c76294">lessThanEqual</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  GLM_FUNC_DECL tvec4<bool, P> <a class="code" href="a00177.html#ga09d21a588ae425ac7517ea65cc59a5ae">greaterThan</a>(tquat<T, P> <span class="keyword">const</span> & x, 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 tvec4<bool, P> <a class="code" href="a00177.html#ga0906a221a2037519fcf316ea5c1e3b3e">greaterThanEqual</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y);</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="l00366"></a><span class="lineno"> 366</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  GLM_FUNC_DECL tvec4<bool, P> <a class="code" href="a00177.html#gac187115710365e0b2902220b9611e7b6">equal</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y);</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  GLM_FUNC_DECL tvec4<bool, P> <a class="code" href="a00177.html#ga484c4633f7c05d8e29ee8b452350f539">notEqual</a>(tquat<T, P> <span class="keyword">const</span> & x, tquat<T, P> <span class="keyword">const</span> & y);</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="ttc" id="a00177_html_gaa8f42979c921e450ff2812fb43c25702"><div class="ttname"><a href="a00177.html#gaa8f42979c921e450ff2812fb43c25702">glm::rotate</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > rotate(tquat< T, P > const &q, T const &angle, tvec3< T, P > const &axis)</div><div class="ttdoc">Rotates a quaternion from a vector of 3 components axis and an angle. </div></div>
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<div class="ttc" id="a00177_html_ga2c08b93a4261c10748fd4d2104346f17"><div class="ttname"><a href="a00177.html#ga2c08b93a4261c10748fd4d2104346f17">glm::pitch</a></div><div class="ttdeci">GLM_FUNC_DECL T pitch(tquat< T, P > const &x)</div><div class="ttdoc">Returns pitch value of euler angles expressed in radians. </div></div>
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<div class="ttc" id="a00177_html_ga0906a221a2037519fcf316ea5c1e3b3e"><div class="ttname"><a href="a00177.html#ga0906a221a2037519fcf316ea5c1e3b3e">glm::greaterThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > greaterThanEqual(tquat< T, P > const &x, 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="a00177_html_gab1ace864fbf189ffa368950001808a3c"><div class="ttname"><a href="a00177.html#gab1ace864fbf189ffa368950001808a3c">glm::conjugate</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > conjugate(tquat< T, P > const &q)</div><div class="ttdoc">Returns the q conjugate. </div></div>
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<div class="ttc" id="a00177_html_gac187115710365e0b2902220b9611e7b6"><div class="ttname"><a href="a00177.html#gac187115710365e0b2902220b9611e7b6">glm::equal</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > equal(tquat< T, P > const &x, 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="a00177_html_ga14bb2ddf028c91542763eb6f2bba47ef"><div class="ttname"><a href="a00177.html#ga14bb2ddf028c91542763eb6f2bba47ef">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat4x4< T, P > mat4_cast(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="a00177_html_ga3e4615e9884dd0f41f5617b9848a5d9c"><div class="ttname"><a href="a00177.html#ga3e4615e9884dd0f41f5617b9848a5d9c">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > quat_cast(tmat4x4< T, P > const &x)</div><div class="ttdoc">Converts a 4 * 4 matrix to a quaternion. </div></div>
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<div class="ttc" id="a00177_html_ga5692804fa4db9e762a1c19b607e54435"><div class="ttname"><a href="a00177.html#ga5692804fa4db9e762a1c19b607e54435">glm::lerp</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > lerp(tquat< T, P > const &x, tquat< T, P > const &y, T a)</div><div class="ttdoc">Linear interpolation of two quaternions. </div></div>
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<div class="ttc" id="a00177_html_ga0b3e87a13b2708154b72259e50789a19"><div class="ttname"><a href="a00177.html#ga0b3e87a13b2708154b72259e50789a19">glm::axis</a></div><div class="ttdeci">GLM_FUNC_DECL tvec3< T, P > axis(tquat< T, P > const &x)</div><div class="ttdoc">Returns the q rotation axis. </div></div>
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<div class="ttc" id="a00146_html"><div class="ttname"><a href="a00146.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00040">_noise.hpp:40</a></div></div>
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<div class="ttc" id="a00177_html_ga7c81996ed2724f26fe76faf352c76294"><div class="ttname"><a href="a00177.html#ga7c81996ed2724f26fe76faf352c76294">glm::lessThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > lessThanEqual(tquat< T, P > const &x, 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="a00177_html_gac682181783027544c8d251b4d3a60cf8"><div class="ttname"><a href="a00177.html#gac682181783027544c8d251b4d3a60cf8">glm::length</a></div><div class="ttdeci">GLM_FUNC_DECL T length(tquat< T, P > const &q)</div><div class="ttdoc">Returns the length of the quaternion. </div></div>
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<div class="ttc" id="a00177_html_ga484c4633f7c05d8e29ee8b452350f539"><div class="ttname"><a href="a00177.html#ga484c4633f7c05d8e29ee8b452350f539">glm::notEqual</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > notEqual(tquat< T, P > const &x, 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="a00177_html_ga09d21a588ae425ac7517ea65cc59a5ae"><div class="ttname"><a href="a00177.html#ga09d21a588ae425ac7517ea65cc59a5ae">glm::greaterThan</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > greaterThan(tquat< T, P > const &x, 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="a00177_html_gadb92ec1c1b0dd6b024176a73fbef3e64"><div class="ttname"><a href="a00177.html#gadb92ec1c1b0dd6b024176a73fbef3e64">glm::eulerAngles</a></div><div class="ttdeci">GLM_FUNC_DECL tvec3< T, P > eulerAngles(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="a00177_html_gad4a4448baedb198b2b1e7880d2544dc9"><div class="ttname"><a href="a00177.html#gad4a4448baedb198b2b1e7880d2544dc9">glm::angle</a></div><div class="ttdeci">GLM_FUNC_DECL T angle(tquat< T, P > const &x)</div><div class="ttdoc">Returns the quaternion rotation angle. </div></div>
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<div class="ttc" id="a00177_html_ga35b6bcb22ac6d1e4a85440f5b69bdf86"><div class="ttname"><a href="a00177.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">glm::normalize</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > normalize(tquat< T, P > const &q)</div><div class="ttdoc">Returns the normalized quaternion. </div></div>
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<div class="ttc" id="a00177_html_gac54dfc83de465a2d03e90d342242ab3d"><div class="ttname"><a href="a00177.html#gac54dfc83de465a2d03e90d342242ab3d">glm::dot</a></div><div class="ttdeci">GLM_FUNC_DECL T dot(quatType< T, P > const &x, quatType< T, P > const &y)</div><div class="ttdoc">Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </div></div>
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<div class="ttc" id="a00177_html_ga724a5df282b70cec0a6cb0d6dcddb6d6"><div class="ttname"><a href="a00177.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">glm::yaw</a></div><div class="ttdeci">GLM_FUNC_DECL T yaw(tquat< T, P > const &x)</div><div class="ttdoc">Returns yaw value of euler angles expressed in radians. </div></div>
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<div class="ttc" id="a00177_html_ga22b438c7252f3fa5b773c9882471652a"><div class="ttname"><a href="a00177.html#ga22b438c7252f3fa5b773c9882471652a">glm::slerp</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > slerp(tquat< T, P > const &x, tquat< T, P > const &y, T a)</div><div class="ttdoc">Spherical linear interpolation of two quaternions. </div></div>
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<div class="ttc" id="a00177_html_gae04c39422eb4e450ec8c4f45a1057b40"><div class="ttname"><a href="a00177.html#gae04c39422eb4e450ec8c4f45a1057b40">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL tmat3x3< T, P > mat3_cast(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="a00177_html_ga31cc82178742c36450f5662bd4fb30b0"><div class="ttname"><a href="a00177.html#ga31cc82178742c36450f5662bd4fb30b0">glm::mix</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > mix(tquat< T, P > const &x, tquat< T, P > const &y, T a)</div><div class="ttdoc">Spherical linear interpolation of two quaternions. </div></div>
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<div class="ttc" id="a00177_html_ga5f47300c024c2d809944e6ac661d6d14"><div class="ttname"><a href="a00177.html#ga5f47300c024c2d809944e6ac661d6d14">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > inverse(tquat< T, P > const &q)</div><div class="ttdoc">Returns the q inverse. </div></div>
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<div class="ttc" id="a00177_html_ga4fd705376c6c1fd667be0055a0ea58ec"><div class="ttname"><a href="a00177.html#ga4fd705376c6c1fd667be0055a0ea58ec">glm::roll</a></div><div class="ttdeci">GLM_FUNC_DECL T roll(tquat< T, P > const &x)</div><div class="ttdoc">Returns roll value of euler angles expressed in radians. </div></div>
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<div class="ttc" id="a00177_html_ga37ae19405f1ccf766f27e4fcd035d859"><div class="ttname"><a href="a00177.html#ga37ae19405f1ccf766f27e4fcd035d859">glm::angleAxis</a></div><div class="ttdeci">GLM_FUNC_DECL tquat< T, P > angleAxis(T const &angle, 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="a00177_html_ga91a40d16a3b5bb47d71ac1a3fb688ffa"><div class="ttname"><a href="a00177.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">glm::lessThan</a></div><div class="ttdeci">GLM_FUNC_DECL tvec4< bool, P > lessThan(tquat< T, P > const &x, tquat< T, P > const &y)</div><div class="ttdoc">Returns the component-wise comparison result of x < y. </div></div>
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